problem_id stringlengths 6 6 | language stringclasses 2 values | original_status stringclasses 3 values | original_src stringlengths 19 243k | changed_src stringlengths 19 243k | change stringclasses 3 values | i1 int64 0 8.44k | i2 int64 0 8.44k | j1 int64 0 8.44k | j2 int64 0 8.44k | error stringclasses 270 values | stderr stringlengths 0 226k |
|---|---|---|---|---|---|---|---|---|---|---|---|
p02558 | C++ | Runtime Error | #include <algorithm>
#include <cmath>
#include <deque>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <set>
#include <string>
#include <utility>
#include <vector>
#define MOD 1000000007
using namespace std;
typedef long long ll;
#include <cstring>
int n, m;
struct unionfind {
int parent;
int node;
int edge;
};
unionfind g[100001];
void init() {
for (int i = 0; i <= n; i++) {
g[i].parent = i;
g[i].node = 1;
g[i].edge = 0;
}
}
int find(int x) {
if (x == g[x].parent) {
return x;
}
int res = find(g[x].parent);
g[x].node = g[res].node;
g[x].edge = g[res].edge;
g[x].parent = res;
return res;
}
void merge(int x, int y) {
if (x > y) {
x ^= y;
y ^= x;
x ^= y;
}
g[x].node += g[y].node;
g[x].edge += g[y].edge + 1;
g[y].parent = x;
}
int main() {
int q, a, u, v;
cin >> n >> q;
init();
for (int i = 0; i < q; i++) {
cin >> a >> u >> v;
u = find(u);
v = find(v);
if (a == 0 && u != v) {
merge(u, v);
} else if (a == 1) {
cout << (u == v ? 1 : 0) << endl;
}
}
} | #include <algorithm>
#include <cmath>
#include <deque>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <set>
#include <string>
#include <utility>
#include <vector>
#define MOD 1000000007
using namespace std;
typedef long long ll;
#include <cstring>
int n, m;
struct unionfind {
int parent;
int node;
int edge;
};
unionfind g[200001];
void init() {
for (int i = 0; i <= n; i++) {
g[i].parent = i;
g[i].node = 1;
g[i].edge = 0;
}
}
int find(int x) {
if (x == g[x].parent) {
return x;
}
int res = find(g[x].parent);
g[x].node = g[res].node;
g[x].edge = g[res].edge;
g[x].parent = res;
return res;
}
void merge(int x, int y) {
if (x > y) {
x ^= y;
y ^= x;
x ^= y;
}
g[x].node += g[y].node;
g[x].edge += g[y].edge + 1;
g[y].parent = x;
}
int main() {
int q, a, u, v;
cin >> n >> q;
init();
for (int i = 0; i < q; i++) {
cin >> a >> u >> v;
u = find(u);
v = find(v);
if (a == 0 && u != v) {
merge(u, v);
} else if (a == 1) {
cout << (u == v ? 1 : 0) << endl;
}
}
} | replace | 23 | 24 | 23 | 24 | 0 | |
p02558 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
// conversion
//------------------------------------------
inline int toInt(string s) {
int v;
istringstream sin(s);
sin >> v;
return v;
}
template <class T> inline string toString(T x) {
ostringstream sout;
sout << x;
return sout.str();
}
// math
//-------------------------------------------
template <class T> inline T sqr(T x) { return x * x; }
// typedef
//------------------------------------------
typedef long long LL;
typedef pair<int, int> PII;
typedef pair<LL, LL> PLL;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<LL> VLL;
typedef vector<VLL> VVLL;
typedef vector<bool> VB;
typedef vector<VB> VVB;
typedef vector<double> VD;
typedef vector<VD> VVD;
typedef vector<string> VS;
typedef vector<VS> VVS;
typedef vector<char> VC;
typedef vector<VC> VVC;
typedef vector<PII> VPII;
typedef vector<PLL> VPLL;
typedef priority_queue<int> PQGI; // 大きい順
typedef priority_queue<int, VI, greater<int>> PQLI;
typedef priority_queue<PII> PQGP;
typedef priority_queue<PII, VPII, greater<PII>> PQLP;
// priority_queue<T,vector<T>,decltype(f)> pq{f};
// container util
//------------------------------------------
#define ALL(a) (a).begin(), (a).end()
#define RALL(a) (a).rbegin(), (a).rend()
#define EB emplace_back
#define EF emplace_front
#define PB push_back
#define PF push_front
#define POB pop_back
#define POF pop_front
#define MP make_pair
#define SZ(a) int((a).size())
#define SQ(a) ((a) * (a))
#define EACH(i, c) \
for (typeof((c).begin()) i = (c).begin(); i != (c).end(); ++i)
#define EXIST(s, e) ((s).find(e) != (s).end())
#define SORT(c) sort((c).begin(), (c).end())
#define SORTR(c) sort((c).rbegin(), (c).rend())
#define LB lower_bound
#define UB upper_bound
#define NEXP next_permutation
#define FI first
#define SE second
#define Vmin(a) *min_element((a).begin(), (a).end())
#define Vmax(a) *max_element((a).begin(), (a).end())
// repetition
//------------------------------------------
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define REP(i, n) FOR(i, 0, n)
#define FORR(i, a, b) for (int i = (b - 1); i >= (a); i--)
#define REPR(i, n) FORR(i, 0, n)
#define CFOR(i, a, b) for (int i = (a); i <= (b); ++i)
#define CREP(i, n) CFOR(i, 0, n)
#define CFORR(i, a, b) for (int i = (b); i >= (a); i--)
#define CREPR(i, n) CFORR(i, 0, n)
#define BFOR(bit, a, b) for (int bit = (a); bit < (1 << (b)); ++bit)
#define BREP(bit, n) BFOR(bit, 0, n)
// constant
//--------------------------------------------
const double EPS = 1e-10;
const double PI = acos(-1.0);
const int INF = INT_MAX / 2;
const LL LINF = LLONG_MAX / 3;
const int RINF = INT_MIN / 2;
const LL RLINF = LLONG_MIN / 3;
const LL MOD = 1e9 + 7;
const LL MODD = 998244353;
const int MAX = 510000;
inline bool Eq(double a, double b) { return fabs(b - a) < EPS; }
// other
//-------------------------------------------
template <class T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T> bool chmin(T &a, const T &b) {
if (b < a) {
a = b;
return 1;
}
return 0;
}
#define COUT(x) cout << (x) << endl
#define COUT2(x, y) cout << (x) << " " << (y) << endl
#define COUT3(x, y, z) cout << (x) << " " << (y) << " " << (z) << endl
#define PR(x) cout << (x)
#define ENDL cout << endl
#define SPACE cout << " "
#define BC(x) __builtin_popcountll(x)
VI dx = {1, 0, -1, 0, 1, 1, -1, -1};
VI dy = {0, 1, 0, -1, 1, -1, 1, -1};
LL Gcd(LL a, LL b) { return __gcd(a, b); }
LL Lcm(LL a, LL b) { return a / Gcd(a, b) * b; }
LL ModPow(LL A, LL N, LL M = MOD) {
LL res = 1;
while (N > 0) {
if (N & 1)
res = res * A % M;
A = A * A % M;
N >>= 1;
}
return res;
}
template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
is >> p.first >> p.second;
return is;
}
template <typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) {
os << p.first << " " << p.second;
return os;
}
template <typename T> istream &operator>>(istream &is, vector<T> &v) {
for (T &in : v)
is >> in;
return is;
}
template <typename T> ostream &operator<<(ostream &os, const vector<T> &v) {
for (int i = 0; i < (int)v.size(); i++) {
os << v[i] << (i + 1 != v.size() ? " " : "");
}
return os;
}
template <typename T> vector<T> make_v(size_t a, T b) {
return vector<T>(a, b);
}
template <typename... Ts> auto make_v(size_t a, Ts... ts) {
return vector<decltype(make_v(ts...))>(a, make_v(ts...));
}
struct UnionFind {
VI par, siz;
int cnt;
UnionFind() {}
UnionFind(int n) : par(n), siz(n, 1), cnt(n) { iota(ALL(par), 0); }
void init(int n) {
par.assign(n, 0);
siz.assign(n, 1);
iota(ALL(par), 0);
cnt = n;
}
int find(int x) {
if (par[x] == x) {
return x;
} else {
return par[x] = find(par[x]);
}
}
bool unite(int x, int y) {
x = find(x);
y = find(y);
if (x == y)
return false;
cnt--;
if (siz[x] < siz[y]) {
swap(x, y);
}
siz[x] += siz[y];
par[y] = x;
return true;
}
bool same(int x, int y) { return find(x) == find(y); }
int size(int x) { return siz[find(x)]; }
};
int main() {
// cin.tie(0);
// ios::sync_with_stdio(false);
cout << fixed << setprecision(12);
int N, Q;
cin >> N >> Q;
UnionFind uf(N);
REP(i, Q) {
int t, u, v;
cin >> t >> u >> v;
u--;
v--;
if (t == 0)
uf.unite(u, v);
else
COUT(uf.same(u, v));
}
return 0;
} | #include <bits/stdc++.h>
using namespace std;
// conversion
//------------------------------------------
inline int toInt(string s) {
int v;
istringstream sin(s);
sin >> v;
return v;
}
template <class T> inline string toString(T x) {
ostringstream sout;
sout << x;
return sout.str();
}
// math
//-------------------------------------------
template <class T> inline T sqr(T x) { return x * x; }
// typedef
//------------------------------------------
typedef long long LL;
typedef pair<int, int> PII;
typedef pair<LL, LL> PLL;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<LL> VLL;
typedef vector<VLL> VVLL;
typedef vector<bool> VB;
typedef vector<VB> VVB;
typedef vector<double> VD;
typedef vector<VD> VVD;
typedef vector<string> VS;
typedef vector<VS> VVS;
typedef vector<char> VC;
typedef vector<VC> VVC;
typedef vector<PII> VPII;
typedef vector<PLL> VPLL;
typedef priority_queue<int> PQGI; // 大きい順
typedef priority_queue<int, VI, greater<int>> PQLI;
typedef priority_queue<PII> PQGP;
typedef priority_queue<PII, VPII, greater<PII>> PQLP;
// priority_queue<T,vector<T>,decltype(f)> pq{f};
// container util
//------------------------------------------
#define ALL(a) (a).begin(), (a).end()
#define RALL(a) (a).rbegin(), (a).rend()
#define EB emplace_back
#define EF emplace_front
#define PB push_back
#define PF push_front
#define POB pop_back
#define POF pop_front
#define MP make_pair
#define SZ(a) int((a).size())
#define SQ(a) ((a) * (a))
#define EACH(i, c) \
for (typeof((c).begin()) i = (c).begin(); i != (c).end(); ++i)
#define EXIST(s, e) ((s).find(e) != (s).end())
#define SORT(c) sort((c).begin(), (c).end())
#define SORTR(c) sort((c).rbegin(), (c).rend())
#define LB lower_bound
#define UB upper_bound
#define NEXP next_permutation
#define FI first
#define SE second
#define Vmin(a) *min_element((a).begin(), (a).end())
#define Vmax(a) *max_element((a).begin(), (a).end())
// repetition
//------------------------------------------
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define REP(i, n) FOR(i, 0, n)
#define FORR(i, a, b) for (int i = (b - 1); i >= (a); i--)
#define REPR(i, n) FORR(i, 0, n)
#define CFOR(i, a, b) for (int i = (a); i <= (b); ++i)
#define CREP(i, n) CFOR(i, 0, n)
#define CFORR(i, a, b) for (int i = (b); i >= (a); i--)
#define CREPR(i, n) CFORR(i, 0, n)
#define BFOR(bit, a, b) for (int bit = (a); bit < (1 << (b)); ++bit)
#define BREP(bit, n) BFOR(bit, 0, n)
// constant
//--------------------------------------------
const double EPS = 1e-10;
const double PI = acos(-1.0);
const int INF = INT_MAX / 2;
const LL LINF = LLONG_MAX / 3;
const int RINF = INT_MIN / 2;
const LL RLINF = LLONG_MIN / 3;
const LL MOD = 1e9 + 7;
const LL MODD = 998244353;
const int MAX = 510000;
inline bool Eq(double a, double b) { return fabs(b - a) < EPS; }
// other
//-------------------------------------------
template <class T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T> bool chmin(T &a, const T &b) {
if (b < a) {
a = b;
return 1;
}
return 0;
}
#define COUT(x) cout << (x) << endl
#define COUT2(x, y) cout << (x) << " " << (y) << endl
#define COUT3(x, y, z) cout << (x) << " " << (y) << " " << (z) << endl
#define PR(x) cout << (x)
#define ENDL cout << endl
#define SPACE cout << " "
#define BC(x) __builtin_popcountll(x)
VI dx = {1, 0, -1, 0, 1, 1, -1, -1};
VI dy = {0, 1, 0, -1, 1, -1, 1, -1};
LL Gcd(LL a, LL b) { return __gcd(a, b); }
LL Lcm(LL a, LL b) { return a / Gcd(a, b) * b; }
LL ModPow(LL A, LL N, LL M = MOD) {
LL res = 1;
while (N > 0) {
if (N & 1)
res = res * A % M;
A = A * A % M;
N >>= 1;
}
return res;
}
template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
is >> p.first >> p.second;
return is;
}
template <typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) {
os << p.first << " " << p.second;
return os;
}
template <typename T> istream &operator>>(istream &is, vector<T> &v) {
for (T &in : v)
is >> in;
return is;
}
template <typename T> ostream &operator<<(ostream &os, const vector<T> &v) {
for (int i = 0; i < (int)v.size(); i++) {
os << v[i] << (i + 1 != v.size() ? " " : "");
}
return os;
}
template <typename T> vector<T> make_v(size_t a, T b) {
return vector<T>(a, b);
}
template <typename... Ts> auto make_v(size_t a, Ts... ts) {
return vector<decltype(make_v(ts...))>(a, make_v(ts...));
}
struct UnionFind {
VI par, siz;
int cnt;
UnionFind() {}
UnionFind(int n) : par(n), siz(n, 1), cnt(n) { iota(ALL(par), 0); }
void init(int n) {
par.assign(n, 0);
siz.assign(n, 1);
iota(ALL(par), 0);
cnt = n;
}
int find(int x) {
if (par[x] == x) {
return x;
} else {
return par[x] = find(par[x]);
}
}
bool unite(int x, int y) {
x = find(x);
y = find(y);
if (x == y)
return false;
cnt--;
if (siz[x] < siz[y]) {
swap(x, y);
}
siz[x] += siz[y];
par[y] = x;
return true;
}
bool same(int x, int y) { return find(x) == find(y); }
int size(int x) { return siz[find(x)]; }
};
int main() {
// cin.tie(0);
// ios::sync_with_stdio(false);
cout << fixed << setprecision(12);
int N, Q;
cin >> N >> Q;
UnionFind uf(N);
REP(i, Q) {
int t, u, v;
cin >> t >> u >> v;
if (t == 0)
uf.unite(u, v);
else
COUT(uf.same(u, v));
}
return 0;
} | delete | 231 | 233 | 231 | 231 | 0 | |
p02558 | C++ | Runtime Error | #pragma GCC optimize("Ofast")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx")
#include <bits/stdc++.h>
#define _GLIBCXX_DEBUG
using namespace std;
using ll = long long;
using vec = vector<ll>;
using vect = vector<double>;
using Graph = vector<vector<ll>>;
#define endl '\n'
#define loop(i, n) for (int i = 0; i < n; i++)
#define Loop(i, m, n) for (ll i = m; i < n; i++)
#define pool(i, n) for (ll i = n; i >= 0; i--)
#define Pool(i, m, n) for (ll i = n; i >= m; i--)
#define modd 1000000007ll
// #define modd 998244353ll
#define flagcount(bit) __builtin_popcount(bit)
#define flag(x) (1ll << x)
#define flagadd(bit, x) bit |= flag(x)
#define flagpop(bit, x) bit &= ~flag(x)
#define flagon(bit, i) bit &flag(i)
#define flagoff(bit, i) !(bit & (1ll << i))
#define all(v) v.begin(), v.end()
#define low2way(v, x) lower_bound(all(v), x)
#define high2way(v, x) upper_bound(all(v), x)
#define idx_lower(v, x) \
(distance(v.begin(), low2way(v, x))) // 配列vでx未満の要素数を返す
#define idx_upper(v, x) \
(distance(v.begin(), high2way(v, x))) // 配列vでx以下の要素数を返す
#define idx_lower2(v, x) \
(v.size() - idx_lower(v, x)) // 配列vでx以上の要素数を返す
#define idx_upper2(v, x) \
(v.size() - idx_upper(v, x)) // 配列vでxより大きい要素の数を返す
#define putout(a) cout << a << '\n'
#define Sum(v) accumulate(all(v), 0ll)
ll ctoi(char c) {
if (c >= '0' && c <= '9') {
return c - '0';
}
return -1;
}
template <typename T> string make_string(T N) {
string ret;
T now = N;
while (now > 0) {
T x = now % 10;
ret += (char)('0' + x);
now /= 10;
}
reverse(all(ret));
return ret;
}
template <typename T> T gcd(T a, T b) {
if (a % b == 0) {
return (b);
} else {
return (gcd(b, a % b));
}
}
template <typename T> T lcm(T x, T y) {
T z = gcd(x, y);
return x * y / z;
}
template <typename T> bool primejudge(T n) {
if (n < 2)
return false;
else if (n == 2)
return true;
else if (n % 2 == 0)
return false;
double sqrtn = sqrt(n);
for (T i = 3; i < sqrtn + 1; i++) {
if (n % i == 0) {
return false;
}
i++;
}
return true;
}
template <typename T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b; // aをbで更新
return true;
}
return false;
}
template <typename T> bool chmin(T &a, const T &b) {
if (a > b) {
a = b; // aをbで更新
return true;
}
return false;
}
// 場合によって使い分ける
// const ll dx[4]={1,0,-1,0};
// const ll dy[4]={0,1,0,-1};
const ll dx[8] = {1, 1, 0, -1, -1, -1, 0, 1};
const ll dy[8] = {0, 1, 1, 1, 0, -1, -1, -1};
class FastIO {
static const int rdata_sz = (1 << 19), wdata_sz = (1 << 19);
char rdata[rdata_sz], wdata[wdata_sz], *rb, *wb;
char tmp_s[20];
public:
FastIO() {
fread(rdata, 1, rdata_sz, stdin);
rb = rdata;
wb = wdata;
}
~FastIO() { fwrite(wdata, 1, wb - wdata, stdout); }
template <typename T> inline void read(T &x) {
bool neg = false;
x = 0;
while ((*rb < '0' || *rb > '9') && *rb != '-')
++rb;
if (*rb == '-') {
neg = true;
++rb;
}
while ('0' <= *rb && *rb <= '9') {
x = 10 * x + (*rb - '0');
++rb;
}
if (neg)
x = -x;
}
#define pc(x) *(wb++) = x
template <typename T> inline void write(T x) {
if (x == 0) {
pc('0');
pc('\n');
return;
}
if (x < 0) {
pc('-');
x = -x;
}
char *t = tmp_s;
while (x) {
T y = x / 10;
*(t++) = (x - y * 10) + '0';
x = y;
}
while (t != tmp_s)
pc(*(--t));
pc('\n');
}
#undef pc
};
struct union_find {
vector<int> par; // 親の番号
vector<int> rank; // 木の深さ(根のランクは0)
vector<int> siz; // 要素xが根なら木の頂点数を格納する
// 初期化子リストを用いた初期化
union_find(int N) : par(N), rank(N), siz(N) {
for (int i = 0; i < N; i++) {
par[i] = i;
rank[i] = 0;
siz[i] = 1;
}
}
// 要素xが所属する木の根を再帰的に発見する
int root(int x) {
if (par[x] == x)
return x;
return par[x] = root(par[x]); // 経路圧縮
}
// 要素xが属する木と要素yが属する木の併合
void unite(int x, int y) {
int rx = root(x);
int ry = root(y);
if (rx == ry)
return; // 同じ木に属してたらそのまま
if (rank[rx] < rank[ry]) {
par[rx] = ry; // 根がryの木に併合
siz[ry] = siz[rx] + siz[ry];
} else {
par[ry] = rx; // 根がrxの木に併合
siz[rx] = siz[rx] + siz[ry];
if (rank[rx] == rank[ry])
rank[rx]++;
}
}
// 要素xが属する木と要素yが属する木が同じならtrueを返す
bool same(int x, int y) { return root(x) == root(y); }
// 要素xが属する木の頂点数を返す
int size(int x) { return siz[root(x)]; }
};
int main() {
FastIO io;
int N, Q;
io.read(N);
io.read(Q);
union_find tree(N);
for (int i = 0; i < Q; i++) {
int t, u, v;
io.read(t);
io.read(u);
io.read(v);
if (t)
if (tree.same(u, v))
io.write(1);
else
io.write(0);
if (!t)
tree.unite(u, v);
}
return 0;
}
| #pragma GCC optimize("Ofast")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx")
#include <bits/stdc++.h>
#define _GLIBCXX_DEBUG
using namespace std;
using ll = long long;
using vec = vector<ll>;
using vect = vector<double>;
using Graph = vector<vector<ll>>;
#define endl '\n'
#define loop(i, n) for (int i = 0; i < n; i++)
#define Loop(i, m, n) for (ll i = m; i < n; i++)
#define pool(i, n) for (ll i = n; i >= 0; i--)
#define Pool(i, m, n) for (ll i = n; i >= m; i--)
#define modd 1000000007ll
// #define modd 998244353ll
#define flagcount(bit) __builtin_popcount(bit)
#define flag(x) (1ll << x)
#define flagadd(bit, x) bit |= flag(x)
#define flagpop(bit, x) bit &= ~flag(x)
#define flagon(bit, i) bit &flag(i)
#define flagoff(bit, i) !(bit & (1ll << i))
#define all(v) v.begin(), v.end()
#define low2way(v, x) lower_bound(all(v), x)
#define high2way(v, x) upper_bound(all(v), x)
#define idx_lower(v, x) \
(distance(v.begin(), low2way(v, x))) // 配列vでx未満の要素数を返す
#define idx_upper(v, x) \
(distance(v.begin(), high2way(v, x))) // 配列vでx以下の要素数を返す
#define idx_lower2(v, x) \
(v.size() - idx_lower(v, x)) // 配列vでx以上の要素数を返す
#define idx_upper2(v, x) \
(v.size() - idx_upper(v, x)) // 配列vでxより大きい要素の数を返す
#define putout(a) cout << a << '\n'
#define Sum(v) accumulate(all(v), 0ll)
ll ctoi(char c) {
if (c >= '0' && c <= '9') {
return c - '0';
}
return -1;
}
template <typename T> string make_string(T N) {
string ret;
T now = N;
while (now > 0) {
T x = now % 10;
ret += (char)('0' + x);
now /= 10;
}
reverse(all(ret));
return ret;
}
template <typename T> T gcd(T a, T b) {
if (a % b == 0) {
return (b);
} else {
return (gcd(b, a % b));
}
}
template <typename T> T lcm(T x, T y) {
T z = gcd(x, y);
return x * y / z;
}
template <typename T> bool primejudge(T n) {
if (n < 2)
return false;
else if (n == 2)
return true;
else if (n % 2 == 0)
return false;
double sqrtn = sqrt(n);
for (T i = 3; i < sqrtn + 1; i++) {
if (n % i == 0) {
return false;
}
i++;
}
return true;
}
template <typename T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b; // aをbで更新
return true;
}
return false;
}
template <typename T> bool chmin(T &a, const T &b) {
if (a > b) {
a = b; // aをbで更新
return true;
}
return false;
}
// 場合によって使い分ける
// const ll dx[4]={1,0,-1,0};
// const ll dy[4]={0,1,0,-1};
const ll dx[8] = {1, 1, 0, -1, -1, -1, 0, 1};
const ll dy[8] = {0, 1, 1, 1, 0, -1, -1, -1};
class FastIO {
static const int rdata_sz = (1 << 25), wdata_sz = (1 << 25);
char rdata[rdata_sz], wdata[wdata_sz], *rb, *wb;
char tmp_s[20];
public:
FastIO() {
fread(rdata, 1, rdata_sz, stdin);
rb = rdata;
wb = wdata;
}
~FastIO() { fwrite(wdata, 1, wb - wdata, stdout); }
template <typename T> inline void read(T &x) {
bool neg = false;
x = 0;
while ((*rb < '0' || *rb > '9') && *rb != '-')
++rb;
if (*rb == '-') {
neg = true;
++rb;
}
while ('0' <= *rb && *rb <= '9') {
x = 10 * x + (*rb - '0');
++rb;
}
if (neg)
x = -x;
}
#define pc(x) *(wb++) = x
template <typename T> inline void write(T x) {
if (x == 0) {
pc('0');
pc('\n');
return;
}
if (x < 0) {
pc('-');
x = -x;
}
char *t = tmp_s;
while (x) {
T y = x / 10;
*(t++) = (x - y * 10) + '0';
x = y;
}
while (t != tmp_s)
pc(*(--t));
pc('\n');
}
#undef pc
};
struct union_find {
vector<int> par; // 親の番号
vector<int> rank; // 木の深さ(根のランクは0)
vector<int> siz; // 要素xが根なら木の頂点数を格納する
// 初期化子リストを用いた初期化
union_find(int N) : par(N), rank(N), siz(N) {
for (int i = 0; i < N; i++) {
par[i] = i;
rank[i] = 0;
siz[i] = 1;
}
}
// 要素xが所属する木の根を再帰的に発見する
int root(int x) {
if (par[x] == x)
return x;
return par[x] = root(par[x]); // 経路圧縮
}
// 要素xが属する木と要素yが属する木の併合
void unite(int x, int y) {
int rx = root(x);
int ry = root(y);
if (rx == ry)
return; // 同じ木に属してたらそのまま
if (rank[rx] < rank[ry]) {
par[rx] = ry; // 根がryの木に併合
siz[ry] = siz[rx] + siz[ry];
} else {
par[ry] = rx; // 根がrxの木に併合
siz[rx] = siz[rx] + siz[ry];
if (rank[rx] == rank[ry])
rank[rx]++;
}
}
// 要素xが属する木と要素yが属する木が同じならtrueを返す
bool same(int x, int y) { return root(x) == root(y); }
// 要素xが属する木の頂点数を返す
int size(int x) { return siz[root(x)]; }
};
int main() {
FastIO io;
int N, Q;
io.read(N);
io.read(Q);
union_find tree(N);
for (int i = 0; i < Q; i++) {
int t, u, v;
io.read(t);
io.read(u);
io.read(v);
if (t)
if (tree.same(u, v))
io.write(1);
else
io.write(0);
if (!t)
tree.unite(u, v);
}
return 0;
}
| replace | 101 | 102 | 101 | 102 | 0 | |
p02558 | C++ | Runtime Error | #include <bits/stdc++.h>
const double pi = 3.141592653589793238462643383279;
using namespace std;
// typedef
//------------------------------------------
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef pair<int, int> PII;
typedef pair<long long, long long> PLL;
typedef pair<int, PII> TIII;
typedef long long LL;
typedef unsigned long long ULL;
typedef vector<LL> VLL;
typedef vector<VLL> VVLL;
// container util
//------------------------------------------
#define ALL(a) (a).begin(), (a).end()
#define RALL(a) (a).rbegin(), (a).rend()
#define PB push_back
#define MP make_pair
#define SQ(a) ((a) * (a))
#define EACH(i, c) \
for (typeof((c).begin()) i = (c).begin(); i != (c).end(); ++i)
#define EXIST(s, e) ((s).find(e) != (s).end())
#define SORT(c) sort((c).begin(), (c).end())
// repetition
//------------------------------------------
#define FOR(i, s, n) for (int i = s; i < (int)n; ++i)
#define REP(i, n) FOR(i, 0, n)
#define MOD 1000000007
#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define trav(a, x) for (auto &a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
#define chmin(x, y) x = min(x, y)
#define chmax(x, y) x = max(x, y)
const long double EPS = 1e-6, PI = acos((long double)-1);
// ここから編集
struct UnionFind {
vector<int> par;
vector<int> siz;
UnionFind(int sz_) : par(sz_), siz(sz_) {
for (int i = 0; i < sz_; ++i)
par[i] = i, siz[i] = 1;
}
void init(int sz_) {
par.resize(sz_);
siz.resize(sz_);
for (int i = 0; i < sz_; ++i)
par[i] = i, siz[i] = 1;
}
int root(int x) {
if (x == par[x])
return x;
return par[x] = root(par[x]);
}
bool merge(int x, int y) {
x = root(x), y = root(y);
if (x == y)
return false;
if (siz[x] < siz[y])
swap(x, y);
siz[x] += siz[y];
par[y] = x;
return true;
}
bool issame(int x, int y) { return root(x) == root(y); }
int size(int x) { return siz[root(x)]; }
};
int main() {
cin.tie(0);
ios::sync_with_stdio(false);
cout << fixed << setprecision(4);
int N, Q;
cin >> N >> Q;
UnionFind uf(N);
REP(i, Q) {
int t, u, v;
cin >> t >> u >> v;
u--;
v--;
if (t == 0) {
uf.merge(u, v);
} else {
if (uf.issame(u, v)) {
cout << 1 << endl;
} else {
cout << 0 << endl;
}
}
}
return 0;
} | #include <bits/stdc++.h>
const double pi = 3.141592653589793238462643383279;
using namespace std;
// typedef
//------------------------------------------
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef pair<int, int> PII;
typedef pair<long long, long long> PLL;
typedef pair<int, PII> TIII;
typedef long long LL;
typedef unsigned long long ULL;
typedef vector<LL> VLL;
typedef vector<VLL> VVLL;
// container util
//------------------------------------------
#define ALL(a) (a).begin(), (a).end()
#define RALL(a) (a).rbegin(), (a).rend()
#define PB push_back
#define MP make_pair
#define SQ(a) ((a) * (a))
#define EACH(i, c) \
for (typeof((c).begin()) i = (c).begin(); i != (c).end(); ++i)
#define EXIST(s, e) ((s).find(e) != (s).end())
#define SORT(c) sort((c).begin(), (c).end())
// repetition
//------------------------------------------
#define FOR(i, s, n) for (int i = s; i < (int)n; ++i)
#define REP(i, n) FOR(i, 0, n)
#define MOD 1000000007
#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define trav(a, x) for (auto &a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
#define chmin(x, y) x = min(x, y)
#define chmax(x, y) x = max(x, y)
const long double EPS = 1e-6, PI = acos((long double)-1);
// ここから編集
struct UnionFind {
vector<int> par;
vector<int> siz;
UnionFind(int sz_) : par(sz_), siz(sz_) {
for (int i = 0; i < sz_; ++i)
par[i] = i, siz[i] = 1;
}
void init(int sz_) {
par.resize(sz_);
siz.resize(sz_);
for (int i = 0; i < sz_; ++i)
par[i] = i, siz[i] = 1;
}
int root(int x) {
if (x == par[x])
return x;
return par[x] = root(par[x]);
}
bool merge(int x, int y) {
x = root(x), y = root(y);
if (x == y)
return false;
if (siz[x] < siz[y])
swap(x, y);
siz[x] += siz[y];
par[y] = x;
return true;
}
bool issame(int x, int y) { return root(x) == root(y); }
int size(int x) { return siz[root(x)]; }
};
int main() {
cin.tie(0);
ios::sync_with_stdio(false);
cout << fixed << setprecision(4);
int N, Q;
cin >> N >> Q;
UnionFind uf(N);
REP(i, Q) {
int t, u, v;
cin >> t >> u >> v;
if (t == 0) {
uf.merge(u, v);
} else {
if (uf.issame(u, v)) {
cout << 1 << endl;
} else {
cout << 0 << endl;
}
}
}
return 0;
} | replace | 98 | 100 | 98 | 99 | 0 | |
p02558 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
template <class T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return true;
}
return false;
}
template <class T> bool chmin(T &a, const T &b) {
if (b < a) {
a = b;
return true;
}
return false;
}
#define all(x) (x).begin(), (x).end()
#define fi first
#define se second
#define mp make_pair
#define si(x) int(x.size())
const int mod = 1000000007, MAX = 200005, INF = 1 << 30;
#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_BITOP_HPP
#ifndef ATCODER_INTERNAL_MATH_HPP
#define ATCODER_INTERNAL_MATH_HPP 1
#include <utility>
namespace atcoder {
namespace internal {
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) <
// 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v)
v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1)
return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1)
r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1)
return false;
if (n == 2 || n == 7 || n == 61)
return true;
if (n % 2 == 0)
return false;
long long d = n - 1;
while (d % 2 == 0)
d /= 2;
for (long long a : {2, 7, 61}) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0)
return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0)
m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2)
return 1;
if (m == 167772161)
return 3;
if (m == 469762049)
return 3;
if (m == 754974721)
return 11;
if (m == 998244353)
return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0)
x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok)
return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_MATH_HPP
#ifndef ATCODER_INTERNAL_QUEUE_HPP
#define ATCODER_INTERNAL_QUEUE_HPP 1
#include <vector>
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_QUEUE_HPP
#ifndef ATCODER_INTERNAL_SCC_HPP
#define ATCODER_INTERNAL_SCC_HPP 1
#include <algorithm>
#include <utility>
#include <vector>
namespace atcoder {
namespace internal {
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(int n, const std::vector<std::pair<int, E>> &edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
auto g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v)
break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1)
dfs(dfs, i);
}
for (auto &x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second)
counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
private:
int _n;
struct edge {
int to;
};
std::vector<std::pair<int, edge>> edges;
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_SCC_HPP
#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value, make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned =
typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_TYPE_TRAITS_HPP
#ifndef ATCODER_MODINT_HPP
#define ATCODER_MODINT_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0)
x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v -= rhs._v;
if (_v >= umod())
_v += umod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0)
x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += mod() - rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator*=(const mint &rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_MODINT_HPP
#ifndef ATCODER_CONVOLUTION_HPP
#define ATCODER_CONVOLUTION_HPP 1
#include <algorithm>
#include <array>
#include <cassert>
#include <type_traits>
#include <vector>
namespace atcoder {
namespace internal {
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_e[30]; // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now;
now *= ies[i];
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now;
a[i + offset] = l + r;
a[i + offset + p] = l - r;
}
now *= sum_e[bsf(~(unsigned int)(s))];
}
}
}
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly_inv(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_ie[30]; // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now;
now *= es[i];
}
}
for (int ph = h; ph >= 1; ph--) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = l + r;
a[i + offset + p] =
(unsigned long long)(mint::mod() + l.val() - r.val()) * inow.val();
}
inow *= sum_ie[bsf(~(unsigned int)(s))];
}
}
}
} // namespace internal
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
std::vector<mint> convolution(std::vector<mint> a, std::vector<mint> b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
if (std::min(n, m) <= 60) {
if (n < m) {
std::swap(n, m);
std::swap(a, b);
}
std::vector<mint> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
}
}
return ans;
}
int z = 1 << internal::ceil_pow2(n + m - 1);
a.resize(z);
internal::butterfly(a);
b.resize(z);
internal::butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
}
internal::butterfly_inv(a);
a.resize(n + m - 1);
mint iz = mint(z).inv();
for (int i = 0; i < n + m - 1; i++)
a[i] *= iz;
return a;
}
template <unsigned int mod = 998244353, class T,
std::enable_if_t<internal::is_integral<T>::value> * = nullptr>
std::vector<T> convolution(const std::vector<T> &a, const std::vector<T> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
using mint = static_modint<mod>;
std::vector<mint> a2(n), b2(m);
for (int i = 0; i < n; i++) {
a2[i] = mint(a[i]);
}
for (int i = 0; i < m; i++) {
b2[i] = mint(b[i]);
}
auto c2 = convolution(move(a2), move(b2));
std::vector<T> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
c[i] = c2[i].val();
}
return c;
}
std::vector<long long> convolution_ll(const std::vector<long long> &a,
const std::vector<long long> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
static constexpr unsigned long long MOD1 = 754974721; // 2^24
static constexpr unsigned long long MOD2 = 167772161; // 2^25
static constexpr unsigned long long MOD3 = 469762049; // 2^26
static constexpr unsigned long long M2M3 = MOD2 * MOD3;
static constexpr unsigned long long M1M3 = MOD1 * MOD3;
static constexpr unsigned long long M1M2 = MOD1 * MOD2;
static constexpr unsigned long long M1M2M3 = MOD1 * MOD2 * MOD3;
static constexpr unsigned long long i1 =
internal::inv_gcd(MOD2 * MOD3, MOD1).second;
static constexpr unsigned long long i2 =
internal::inv_gcd(MOD1 * MOD3, MOD2).second;
static constexpr unsigned long long i3 =
internal::inv_gcd(MOD1 * MOD2, MOD3).second;
auto c1 = convolution<MOD1>(a, b);
auto c2 = convolution<MOD2>(a, b);
auto c3 = convolution<MOD3>(a, b);
std::vector<long long> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
unsigned long long x = 0;
x += (c1[i] * i1) % MOD1 * M2M3;
x += (c2[i] * i2) % MOD2 * M1M3;
x += (c3[i] * i3) % MOD3 * M1M2;
// B = 2^63, -B <= x, r(real value) < B
// (x, x - M, x - 2M, or x - 3M) = r (mod 2B)
// r = c1[i] (mod MOD1)
// focus on MOD1
// r = x, x - M', x - 2M', x - 3M' (M' = M % 2^64) (mod 2B)
// r = x,
// x - M' + (0 or 2B),
// x - 2M' + (0, 2B or 4B),
// x - 3M' + (0, 2B, 4B or 6B) (without mod!)
// (r - x) = 0, (0)
// - M' + (0 or 2B), (1)
// -2M' + (0 or 2B or 4B), (2)
// -3M' + (0 or 2B or 4B or 6B) (3) (mod MOD1)
// we checked that
// ((1) mod MOD1) mod 5 = 2
// ((2) mod MOD1) mod 5 = 3
// ((3) mod MOD1) mod 5 = 4
long long diff =
c1[i] - internal::safe_mod((long long)(x), (long long)(MOD1));
if (diff < 0)
diff += MOD1;
static constexpr unsigned long long offset[5] = {0, 0, M1M2M3, 2 * M1M2M3,
3 * M1M2M3};
x -= offset[diff % 5];
c[i] = x;
}
return c;
}
} // namespace atcoder
#endif // ATCODER_CONVOLUTION_HPP
#ifndef ATCODER_DSU_HPP
#define ATCODER_DSU_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
// Implement (union by size) + (path compression)
// Reference:
// Zvi Galil and Giuseppe F. Italiano,
// Data structures and algorithms for disjoint set union problems
struct dsu {
public:
dsu() : _n(0) {}
dsu(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y)
return x;
if (-parent_or_size[x] < -parent_or_size[y])
std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0)
return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
} // namespace atcoder
#endif // ATCODER_DSU_HPP
#ifndef ATCODER_FENWICKTREE_HPP
#define ATCODER_FENWICKTREE_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
} // namespace atcoder
#endif // ATCODER_FENWICKTREE_HPP
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push(r >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP
#ifndef ATCODER_MATH_HPP
#define ATCODER_MATH_HPP 1
#include <algorithm>
#include <cassert>
#include <tuple>
#include <vector>
namespace atcoder {
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1)
return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1)
r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long> &r,
const std::vector<long long> &m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g % (u1*g) = (r1 - r0) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g)
return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0)
r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
long long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
} // namespace atcoder
#endif // ATCODER_MATH_HPP
#ifndef ATCODER_MAXFLOW_HPP
#define ATCODER_MAXFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MAXFLOW_HPP
#ifndef ATCODER_MINCOSTFLOW_HPP
#define ATCODER_MINCOSTFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap, cost});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result(m);
for (int i = 0; i < m; i++) {
result[i] = get_edge(i);
}
return result;
}
std::pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, std::numeric_limits<Cap>::max());
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants (C = maxcost):
// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
std::vector<Cost> dual(_n, 0), dist(_n);
std::vector<int> pv(_n), pe(_n);
std::vector<bool> vis(_n);
auto dual_ref = [&]() {
std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
std::fill(pv.begin(), pv.end(), -1);
std::fill(pe.begin(), pe.end(), -1);
std::fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
std::priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v] = shortest(s, v) + dual[s] - dual[v]
// dist[v] >= 0 (all reduced cost are positive)
// dist[v] <= (n-1)C
for (int i = 0; i < int(g[v].size()); i++) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to] + dual[v]| <= (n-1)C
// cost <= C - -(n-1)C + 0 = nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t]) {
return false;
}
for (int v = 0; v < _n; v++) {
if (!vis[v])
continue;
// dual[v] = dual[v] - dist[t] + dist[v]
// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) +
// (shortest(s, v) + dual[s] - dual[v]) = - shortest(s, t) +
// dual[t] + shortest(s, v) = shortest(s, v) - shortest(s, t) >=
// 0 - (n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost = -1;
std::vector<std::pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = std::min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost = cost;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MINCOSTFLOW_HPP
#ifndef ATCODER_SCC_HPP
#define ATCODER_SCC_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
private:
internal::scc_graph internal;
};
} // namespace atcoder
#endif // ATCODER_SCC_HPP
#ifndef ATCODER_SEGTREE_HPP
#define ATCODER_SEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#endif // ATCODER_SEGTREE_HPP
#ifndef ATCODER_STRING_HPP
#define ATCODER_STRING_HPP 1
#include <algorithm>
#include <cassert>
#include <numeric>
#include <string>
#include <vector>
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int> &s, int upper) {
int n = int(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int> &lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n)
continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1)
sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
} // namespace internal
std::vector<int> suffix_array(const std::vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T> &s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T> &s,
const std::vector<int> &sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h])
break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string &s, const std::vector<int> &sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T> &s) {
int n = int(s.size());
if (n == 0)
return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int &k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k])
k++;
if (j + z[j] < i + z[i])
j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
} // namespace atcoder
#endif // ATCODER_STRING_HPP
#ifndef ATCODER_TWOSAT_HPP
#define ATCODER_TWOSAT_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference:
// B. Aspvall, M. Plass, and R. Tarjan,
// A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean
// Formulas
struct two_sat {
public:
two_sat() : _n(0), scc(0) {}
two_sat(int n) : _n(n), _answer(n), scc(2 * n) {}
void add_clause(int i, bool f, int j, bool g) {
assert(0 <= i && i < _n);
assert(0 <= j && j < _n);
scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0));
scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0));
}
bool satisfiable() {
auto id = scc.scc_ids().second;
for (int i = 0; i < _n; i++) {
if (id[2 * i] == id[2 * i + 1])
return false;
_answer[i] = id[2 * i] < id[2 * i + 1];
}
return true;
}
std::vector<bool> answer() { return _answer; }
private:
int _n;
std::vector<bool> _answer;
internal::scc_graph scc;
};
} // namespace atcoder
#endif // ATCODER_TWOSAT_HPP
int main() {
std::ifstream in("text.txt");
std::cin.rdbuf(in.rdbuf());
cin.tie(0);
ios::sync_with_stdio(false);
int N, Q;
cin >> N >> Q;
atcoder::dsu d(N);
while (Q--) {
int t, a, b;
cin >> t >> a >> b;
a--;
b--;
if (t) {
if (d.same(a, b))
cout << 1 << "\n";
else
cout << 0 << "\n";
} else {
d.merge(a, b);
}
}
}
| #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
template <class T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return true;
}
return false;
}
template <class T> bool chmin(T &a, const T &b) {
if (b < a) {
a = b;
return true;
}
return false;
}
#define all(x) (x).begin(), (x).end()
#define fi first
#define se second
#define mp make_pair
#define si(x) int(x.size())
const int mod = 1000000007, MAX = 200005, INF = 1 << 30;
#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_BITOP_HPP
#ifndef ATCODER_INTERNAL_MATH_HPP
#define ATCODER_INTERNAL_MATH_HPP 1
#include <utility>
namespace atcoder {
namespace internal {
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) <
// 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v)
v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1)
return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1)
r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1)
return false;
if (n == 2 || n == 7 || n == 61)
return true;
if (n % 2 == 0)
return false;
long long d = n - 1;
while (d % 2 == 0)
d /= 2;
for (long long a : {2, 7, 61}) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0)
return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0)
m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2)
return 1;
if (m == 167772161)
return 3;
if (m == 469762049)
return 3;
if (m == 754974721)
return 11;
if (m == 998244353)
return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0)
x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok)
return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_MATH_HPP
#ifndef ATCODER_INTERNAL_QUEUE_HPP
#define ATCODER_INTERNAL_QUEUE_HPP 1
#include <vector>
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_QUEUE_HPP
#ifndef ATCODER_INTERNAL_SCC_HPP
#define ATCODER_INTERNAL_SCC_HPP 1
#include <algorithm>
#include <utility>
#include <vector>
namespace atcoder {
namespace internal {
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(int n, const std::vector<std::pair<int, E>> &edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
auto g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v)
break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1)
dfs(dfs, i);
}
for (auto &x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second)
counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
private:
int _n;
struct edge {
int to;
};
std::vector<std::pair<int, edge>> edges;
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_SCC_HPP
#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value, make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned =
typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_TYPE_TRAITS_HPP
#ifndef ATCODER_MODINT_HPP
#define ATCODER_MODINT_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0)
x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v -= rhs._v;
if (_v >= umod())
_v += umod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0)
x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += mod() - rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator*=(const mint &rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_MODINT_HPP
#ifndef ATCODER_CONVOLUTION_HPP
#define ATCODER_CONVOLUTION_HPP 1
#include <algorithm>
#include <array>
#include <cassert>
#include <type_traits>
#include <vector>
namespace atcoder {
namespace internal {
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_e[30]; // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now;
now *= ies[i];
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now;
a[i + offset] = l + r;
a[i + offset + p] = l - r;
}
now *= sum_e[bsf(~(unsigned int)(s))];
}
}
}
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly_inv(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_ie[30]; // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now;
now *= es[i];
}
}
for (int ph = h; ph >= 1; ph--) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = l + r;
a[i + offset + p] =
(unsigned long long)(mint::mod() + l.val() - r.val()) * inow.val();
}
inow *= sum_ie[bsf(~(unsigned int)(s))];
}
}
}
} // namespace internal
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
std::vector<mint> convolution(std::vector<mint> a, std::vector<mint> b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
if (std::min(n, m) <= 60) {
if (n < m) {
std::swap(n, m);
std::swap(a, b);
}
std::vector<mint> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
}
}
return ans;
}
int z = 1 << internal::ceil_pow2(n + m - 1);
a.resize(z);
internal::butterfly(a);
b.resize(z);
internal::butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
}
internal::butterfly_inv(a);
a.resize(n + m - 1);
mint iz = mint(z).inv();
for (int i = 0; i < n + m - 1; i++)
a[i] *= iz;
return a;
}
template <unsigned int mod = 998244353, class T,
std::enable_if_t<internal::is_integral<T>::value> * = nullptr>
std::vector<T> convolution(const std::vector<T> &a, const std::vector<T> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
using mint = static_modint<mod>;
std::vector<mint> a2(n), b2(m);
for (int i = 0; i < n; i++) {
a2[i] = mint(a[i]);
}
for (int i = 0; i < m; i++) {
b2[i] = mint(b[i]);
}
auto c2 = convolution(move(a2), move(b2));
std::vector<T> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
c[i] = c2[i].val();
}
return c;
}
std::vector<long long> convolution_ll(const std::vector<long long> &a,
const std::vector<long long> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
static constexpr unsigned long long MOD1 = 754974721; // 2^24
static constexpr unsigned long long MOD2 = 167772161; // 2^25
static constexpr unsigned long long MOD3 = 469762049; // 2^26
static constexpr unsigned long long M2M3 = MOD2 * MOD3;
static constexpr unsigned long long M1M3 = MOD1 * MOD3;
static constexpr unsigned long long M1M2 = MOD1 * MOD2;
static constexpr unsigned long long M1M2M3 = MOD1 * MOD2 * MOD3;
static constexpr unsigned long long i1 =
internal::inv_gcd(MOD2 * MOD3, MOD1).second;
static constexpr unsigned long long i2 =
internal::inv_gcd(MOD1 * MOD3, MOD2).second;
static constexpr unsigned long long i3 =
internal::inv_gcd(MOD1 * MOD2, MOD3).second;
auto c1 = convolution<MOD1>(a, b);
auto c2 = convolution<MOD2>(a, b);
auto c3 = convolution<MOD3>(a, b);
std::vector<long long> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
unsigned long long x = 0;
x += (c1[i] * i1) % MOD1 * M2M3;
x += (c2[i] * i2) % MOD2 * M1M3;
x += (c3[i] * i3) % MOD3 * M1M2;
// B = 2^63, -B <= x, r(real value) < B
// (x, x - M, x - 2M, or x - 3M) = r (mod 2B)
// r = c1[i] (mod MOD1)
// focus on MOD1
// r = x, x - M', x - 2M', x - 3M' (M' = M % 2^64) (mod 2B)
// r = x,
// x - M' + (0 or 2B),
// x - 2M' + (0, 2B or 4B),
// x - 3M' + (0, 2B, 4B or 6B) (without mod!)
// (r - x) = 0, (0)
// - M' + (0 or 2B), (1)
// -2M' + (0 or 2B or 4B), (2)
// -3M' + (0 or 2B or 4B or 6B) (3) (mod MOD1)
// we checked that
// ((1) mod MOD1) mod 5 = 2
// ((2) mod MOD1) mod 5 = 3
// ((3) mod MOD1) mod 5 = 4
long long diff =
c1[i] - internal::safe_mod((long long)(x), (long long)(MOD1));
if (diff < 0)
diff += MOD1;
static constexpr unsigned long long offset[5] = {0, 0, M1M2M3, 2 * M1M2M3,
3 * M1M2M3};
x -= offset[diff % 5];
c[i] = x;
}
return c;
}
} // namespace atcoder
#endif // ATCODER_CONVOLUTION_HPP
#ifndef ATCODER_DSU_HPP
#define ATCODER_DSU_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
// Implement (union by size) + (path compression)
// Reference:
// Zvi Galil and Giuseppe F. Italiano,
// Data structures and algorithms for disjoint set union problems
struct dsu {
public:
dsu() : _n(0) {}
dsu(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y)
return x;
if (-parent_or_size[x] < -parent_or_size[y])
std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0)
return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
} // namespace atcoder
#endif // ATCODER_DSU_HPP
#ifndef ATCODER_FENWICKTREE_HPP
#define ATCODER_FENWICKTREE_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
} // namespace atcoder
#endif // ATCODER_FENWICKTREE_HPP
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push(r >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP
#ifndef ATCODER_MATH_HPP
#define ATCODER_MATH_HPP 1
#include <algorithm>
#include <cassert>
#include <tuple>
#include <vector>
namespace atcoder {
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1)
return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1)
r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long> &r,
const std::vector<long long> &m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g % (u1*g) = (r1 - r0) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g)
return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0)
r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
long long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
} // namespace atcoder
#endif // ATCODER_MATH_HPP
#ifndef ATCODER_MAXFLOW_HPP
#define ATCODER_MAXFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MAXFLOW_HPP
#ifndef ATCODER_MINCOSTFLOW_HPP
#define ATCODER_MINCOSTFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap, cost});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result(m);
for (int i = 0; i < m; i++) {
result[i] = get_edge(i);
}
return result;
}
std::pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, std::numeric_limits<Cap>::max());
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants (C = maxcost):
// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
std::vector<Cost> dual(_n, 0), dist(_n);
std::vector<int> pv(_n), pe(_n);
std::vector<bool> vis(_n);
auto dual_ref = [&]() {
std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
std::fill(pv.begin(), pv.end(), -1);
std::fill(pe.begin(), pe.end(), -1);
std::fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
std::priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v] = shortest(s, v) + dual[s] - dual[v]
// dist[v] >= 0 (all reduced cost are positive)
// dist[v] <= (n-1)C
for (int i = 0; i < int(g[v].size()); i++) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to] + dual[v]| <= (n-1)C
// cost <= C - -(n-1)C + 0 = nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t]) {
return false;
}
for (int v = 0; v < _n; v++) {
if (!vis[v])
continue;
// dual[v] = dual[v] - dist[t] + dist[v]
// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) +
// (shortest(s, v) + dual[s] - dual[v]) = - shortest(s, t) +
// dual[t] + shortest(s, v) = shortest(s, v) - shortest(s, t) >=
// 0 - (n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost = -1;
std::vector<std::pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = std::min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost = cost;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MINCOSTFLOW_HPP
#ifndef ATCODER_SCC_HPP
#define ATCODER_SCC_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
private:
internal::scc_graph internal;
};
} // namespace atcoder
#endif // ATCODER_SCC_HPP
#ifndef ATCODER_SEGTREE_HPP
#define ATCODER_SEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#endif // ATCODER_SEGTREE_HPP
#ifndef ATCODER_STRING_HPP
#define ATCODER_STRING_HPP 1
#include <algorithm>
#include <cassert>
#include <numeric>
#include <string>
#include <vector>
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int> &s, int upper) {
int n = int(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int> &lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n)
continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1)
sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
} // namespace internal
std::vector<int> suffix_array(const std::vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T> &s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T> &s,
const std::vector<int> &sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h])
break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string &s, const std::vector<int> &sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T> &s) {
int n = int(s.size());
if (n == 0)
return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int &k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k])
k++;
if (j + z[j] < i + z[i])
j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
} // namespace atcoder
#endif // ATCODER_STRING_HPP
#ifndef ATCODER_TWOSAT_HPP
#define ATCODER_TWOSAT_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference:
// B. Aspvall, M. Plass, and R. Tarjan,
// A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean
// Formulas
struct two_sat {
public:
two_sat() : _n(0), scc(0) {}
two_sat(int n) : _n(n), _answer(n), scc(2 * n) {}
void add_clause(int i, bool f, int j, bool g) {
assert(0 <= i && i < _n);
assert(0 <= j && j < _n);
scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0));
scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0));
}
bool satisfiable() {
auto id = scc.scc_ids().second;
for (int i = 0; i < _n; i++) {
if (id[2 * i] == id[2 * i + 1])
return false;
_answer[i] = id[2 * i] < id[2 * i + 1];
}
return true;
}
std::vector<bool> answer() { return _answer; }
private:
int _n;
std::vector<bool> _answer;
internal::scc_graph scc;
};
} // namespace atcoder
#endif // ATCODER_TWOSAT_HPP
int main() {
std::ifstream in("text.txt");
std::cin.rdbuf(in.rdbuf());
cin.tie(0);
ios::sync_with_stdio(false);
int N, Q;
cin >> N >> Q;
atcoder::dsu d(N);
while (Q--) {
int t, a, b;
cin >> t >> a >> b;
// a--;b--;
if (t) {
if (d.same(a, b))
cout << 1 << "\n";
else
cout << 0 << "\n";
} else {
d.merge(a, b);
}
}
}
| replace | 2,008 | 2,010 | 2,008 | 2,009 | -6 | e9d016d2-16d2-42cb-b7c0-080c08378956.out: /home/alex/Documents/bug-detection/input/Project_CodeNet/data/p02558/C++/s089586109.cpp:854: bool atcoder::dsu::same(int, int): Assertion `0 <= a && a < _n' failed.
|
p02558 | C++ | Runtime Error | // ヘッダー
#include <bits/stdc++.h>
using namespace std;
// 型定義
typedef long long ll;
// 定数
const ll INF = 1e+18;
const int MOD = 1e+9 + 7;
// REPマクロ
#define REP(i, n) for (ll i = 0; i < (ll)(n); i++)
#define REPD(i, n) for (ll i = n - 1; i >= 0; i--)
#define REP2(i, a, b) for (ll i = a; i < (ll)(b); i++)
#define REPD2(i, a, b) for (ll i = a; i > (ll)(b); i--)
// 多次元 vector 生成
template <class T> vector<T> make_vec(size_t a) { return vector<T>(a); }
template <class T, class... Ts> auto make_vec(size_t a, Ts... ts) {
return vector<decltype(make_vec<T>(ts...))>(a, make_vec<T>(ts...));
}
// vectorの扱い
#define ALL(x) (x).begin(), (x).end() // sortなどの引数省略
#define SIZE(x) ((ll)(x).size()) // size
#define MAX(x) *max_element(ALL(x)) // 最大値
#define MIN(x) *min_element(ALL(x)) // 最小値
// 省略
using vi = vector<int>;
using vii = vector<vector<int>>;
using vl = vector<ll>;
using vll = vector<vector<ll>>;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
// UnionFind
struct UnionFind {
vector<int> data;
UnionFind(int sz) { data.assign(sz, -1); }
bool unite(int x,
int y) { // 要素xとyの各々の木を併合（もともと同じ木ならfalse）
x = find(x), y = find(y);
if (x == y)
return (false);
if (data[x] > data[y])
swap(x, y);
data[x] += data[y];
data[y] = x;
return (true);
}
int find(int k) { // 要素kが属する木の根を得る
if (data[k] < 0)
return (k);
return (data[k] = find(data[k]));
}
int size(int k) { // 要素kが属する木の要素数
return (-data[find(k)]);
}
bool same(int x, int y) { // 2つのデータx, yが属する木が同じならtrueを返す
int rx = find(x);
int ry = find(y);
return rx == ry;
}
};
int main() {
int N, Q;
cin >> N >> Q;
UnionFind tree(N);
REP(i, Q) {
int t, u, v;
cin >> t >> u >> v;
u--;
v--;
if (t == 0) {
tree.unite(u, v);
} else {
if (tree.same(u, v)) {
cout << "1" << endl;
} else {
cout << "0" << endl;
}
}
}
} | // ヘッダー
#include <bits/stdc++.h>
using namespace std;
// 型定義
typedef long long ll;
// 定数
const ll INF = 1e+18;
const int MOD = 1e+9 + 7;
// REPマクロ
#define REP(i, n) for (ll i = 0; i < (ll)(n); i++)
#define REPD(i, n) for (ll i = n - 1; i >= 0; i--)
#define REP2(i, a, b) for (ll i = a; i < (ll)(b); i++)
#define REPD2(i, a, b) for (ll i = a; i > (ll)(b); i--)
// 多次元 vector 生成
template <class T> vector<T> make_vec(size_t a) { return vector<T>(a); }
template <class T, class... Ts> auto make_vec(size_t a, Ts... ts) {
return vector<decltype(make_vec<T>(ts...))>(a, make_vec<T>(ts...));
}
// vectorの扱い
#define ALL(x) (x).begin(), (x).end() // sortなどの引数省略
#define SIZE(x) ((ll)(x).size()) // size
#define MAX(x) *max_element(ALL(x)) // 最大値
#define MIN(x) *min_element(ALL(x)) // 最小値
// 省略
using vi = vector<int>;
using vii = vector<vector<int>>;
using vl = vector<ll>;
using vll = vector<vector<ll>>;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
// UnionFind
struct UnionFind {
vector<int> data;
UnionFind(int sz) { data.assign(sz, -1); }
bool unite(int x,
int y) { // 要素xとyの各々の木を併合（もともと同じ木ならfalse）
x = find(x), y = find(y);
if (x == y)
return (false);
if (data[x] > data[y])
swap(x, y);
data[x] += data[y];
data[y] = x;
return (true);
}
int find(int k) { // 要素kが属する木の根を得る
if (data[k] < 0)
return (k);
return (data[k] = find(data[k]));
}
int size(int k) { // 要素kが属する木の要素数
return (-data[find(k)]);
}
bool same(int x, int y) { // 2つのデータx, yが属する木が同じならtrueを返す
int rx = find(x);
int ry = find(y);
return rx == ry;
}
};
int main() {
int N, Q;
cin >> N >> Q;
UnionFind tree(N);
REP(i, Q) {
int t, u, v;
cin >> t >> u >> v;
if (t == 0) {
tree.unite(u, v);
} else {
if (tree.same(u, v)) {
cout << "1" << endl;
} else {
cout << "0" << endl;
}
}
}
} | delete | 79 | 81 | 79 | 79 | 0 | |
p02558 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
vector<int> root;
vector<int> Rank;
// 通常バージョン
int find(int x) {
if (root[x] == x)
return x;
root[x] = find(root[x]);
return root[x];
}
bool check(int x, int y) { return find(x) == find(y); }
void Union(int x, int y) {
x = find(x);
y = find(y);
if (check(x, y)) {
return;
}
if (Rank[x] >= Rank[y])
root[y] = x;
else
root[x] = y;
if (Rank[x] == Rank[y])
Rank[x]++;
}
int main() {
int n, m;
cin >> n >> m;
vector<int> set_root(n);
for (int i = 0; i < n; i++)
set_root[i] = i;
root = set_root;
vector<int> set_Rank(n, 0);
Rank = set_Rank;
for (int i = 0; i < m; i++) {
int t, u, v;
cin >> t >> u >> v;
u--;
v--;
if (t == 0)
Union(u, v);
if (t == 1)
cout << check(u, v) << endl;
}
} | #include <bits/stdc++.h>
using namespace std;
vector<int> root;
vector<int> Rank;
// 通常バージョン
int find(int x) {
if (root[x] == x)
return x;
root[x] = find(root[x]);
return root[x];
}
bool check(int x, int y) { return find(x) == find(y); }
void Union(int x, int y) {
x = find(x);
y = find(y);
if (check(x, y)) {
return;
}
if (Rank[x] >= Rank[y])
root[y] = x;
else
root[x] = y;
if (Rank[x] == Rank[y])
Rank[x]++;
}
int main() {
int n, m;
cin >> n >> m;
vector<int> set_root(n);
for (int i = 0; i < n; i++)
set_root[i] = i;
root = set_root;
vector<int> set_Rank(n, 0);
Rank = set_Rank;
for (int i = 0; i < m; i++) {
int t, u, v;
cin >> t >> u >> v;
if (t == 0)
Union(u, v);
if (t == 1)
cout << check(u, v) << endl;
}
} | delete | 42 | 44 | 42 | 42 | 0 | |
p02558 | C++ | Runtime Error | // #pragma GCC optimize("Ofast")
// #pragma GCC target("avx,avx2,fma")
// #pragma GCC optimization ("unroll-loops")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
using namespace std;
#define fo(i, n) for (int i = 0; i < n; i++)
#define nl "\n"
#define ff first
#define ss second
#define int long long
#define pb push_back
#define mp make_pair
#define vec(x) vector<x>
#define matrix(x) vector<vector<x>>
#define sz(x) (int)x.size()
#define mem(a, b) memset(a, b, sizeof a)
#define vii vector<pair<int, int>>
#define pii pair<int, int>
#define vi vector<int>
#define mii map<int, int>
#define uii unordered_map<int, int, custom_hash>
#define pqb priority_queue<int>
#define pqs priority_queue<int, vi, greater<int>>
#define gcd(a, b) __gcd(a, b)
#define lcm(a, b) (a * (b / gcd(a, b)))
#define setbits(x) __builtin_popcountll(x)
#define zrobits(x) __builtin_ctzll(x)
#define mod 1000000007
#define MOD 998244353
#define inf 1e18
#define ps(x, y) fixed << setprecision(y) << x
#define mk(arr, n, type) type *arr = new type[n];
#define w(x) \
int x; \
cin >> x; \
while (x--)
#define all(v) v.begin(), v.end()
#define rep(i, begin, end) \
for (__typeof(end) i = (begin) - ((begin) > (end)); \
i != (end) - ((begin) > (end)); i += 1 - 2 * ((begin) > (end)))
#define len(s) s.length()
#define watch(x) cout << #x << " = " << x << endl
#define deb(...) cerr << "[" << #__VA_ARGS__ << "] : [", DBG(__VA_ARGS__)
void DBG() { cerr << "]\n"; }
template <typename T, typename... Args> void DBG(T first, Args... args) {
cerr << first;
if (sizeof...(args))
cerr << ", ";
DBG(args...);
}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef tree<int, null_type, less<int>, rb_tree_tag,
tree_order_statistics_node_update>
pbds; // for storing unique elements
typedef tree<int, null_type, less_equal<int>, rb_tree_tag,
tree_order_statistics_node_update>
ordered_set; // for repeating elements
int power(int a, int b, int m = mod) {
int ans = 1;
while (b > 0) {
if (b & 1)
ans = (ans * a) % m;
a = (a * a) % m;
b >>= 1;
}
return ans;
}
void babuBhaiya() {
#ifndef ONLINE_JUDGE
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
}
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM =
chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
const int N = 1e5 + 1;
const double pi = acos(-1);
/*/-----------------------Modular Arithmetic---------------/*/
inline int add(int x, int y) {
x += y;
if (x >= mod)
return x - mod;
return x;
}
inline int sub(int x, int y) {
x -= y;
if (x < 0)
return x + mod;
return x;
}
inline int mul(int x, int y) { return (x * 1ll * y) % mod; }
/*/-----------------------------Code begins----------------------------------/*/
int parent[100005];
int R[100005];
int find(int a) {
if (parent[a] == a)
return a;
return parent[a] = find(parent[a]);
}
void merge(int a, int b) {
a = find(a);
b = find(b);
if (a == b)
return;
if (R[a] > R[b]) {
parent[b] = a;
R[a] += R[b];
} else {
parent[a] = b;
R[b] += R[a];
}
}
void init_par(int n) {
fo(i, n) {
R[i] = 1;
parent[i] = i;
}
}
void solve() {
int n, q;
cin >> n >> q;
init_par(n);
while (q--) {
int type;
cin >> type;
if (type == 0) {
int a, b;
cin >> a >> b;
merge(a, b);
} else {
int a, b;
cin >> a >> b;
if (find(a) == find(b))
cout << "1\n";
else
cout << "0\n";
}
}
}
int32_t main() {
babuBhaiya();
int t;
t = 1;
// cin>>t;
while (t--) {
solve();
}
return 0;
} | // #pragma GCC optimize("Ofast")
// #pragma GCC target("avx,avx2,fma")
// #pragma GCC optimization ("unroll-loops")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
using namespace std;
#define fo(i, n) for (int i = 0; i < n; i++)
#define nl "\n"
#define ff first
#define ss second
#define int long long
#define pb push_back
#define mp make_pair
#define vec(x) vector<x>
#define matrix(x) vector<vector<x>>
#define sz(x) (int)x.size()
#define mem(a, b) memset(a, b, sizeof a)
#define vii vector<pair<int, int>>
#define pii pair<int, int>
#define vi vector<int>
#define mii map<int, int>
#define uii unordered_map<int, int, custom_hash>
#define pqb priority_queue<int>
#define pqs priority_queue<int, vi, greater<int>>
#define gcd(a, b) __gcd(a, b)
#define lcm(a, b) (a * (b / gcd(a, b)))
#define setbits(x) __builtin_popcountll(x)
#define zrobits(x) __builtin_ctzll(x)
#define mod 1000000007
#define MOD 998244353
#define inf 1e18
#define ps(x, y) fixed << setprecision(y) << x
#define mk(arr, n, type) type *arr = new type[n];
#define w(x) \
int x; \
cin >> x; \
while (x--)
#define all(v) v.begin(), v.end()
#define rep(i, begin, end) \
for (__typeof(end) i = (begin) - ((begin) > (end)); \
i != (end) - ((begin) > (end)); i += 1 - 2 * ((begin) > (end)))
#define len(s) s.length()
#define watch(x) cout << #x << " = " << x << endl
#define deb(...) cerr << "[" << #__VA_ARGS__ << "] : [", DBG(__VA_ARGS__)
void DBG() { cerr << "]\n"; }
template <typename T, typename... Args> void DBG(T first, Args... args) {
cerr << first;
if (sizeof...(args))
cerr << ", ";
DBG(args...);
}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef tree<int, null_type, less<int>, rb_tree_tag,
tree_order_statistics_node_update>
pbds; // for storing unique elements
typedef tree<int, null_type, less_equal<int>, rb_tree_tag,
tree_order_statistics_node_update>
ordered_set; // for repeating elements
int power(int a, int b, int m = mod) {
int ans = 1;
while (b > 0) {
if (b & 1)
ans = (ans * a) % m;
a = (a * a) % m;
b >>= 1;
}
return ans;
}
void babuBhaiya() {
#ifndef ONLINE_JUDGE
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
}
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM =
chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
const int N = 1e5 + 1;
const double pi = acos(-1);
/*/-----------------------Modular Arithmetic---------------/*/
inline int add(int x, int y) {
x += y;
if (x >= mod)
return x - mod;
return x;
}
inline int sub(int x, int y) {
x -= y;
if (x < 0)
return x + mod;
return x;
}
inline int mul(int x, int y) { return (x * 1ll * y) % mod; }
/*/-----------------------------Code begins----------------------------------/*/
int parent[200005];
int R[200005];
int find(int a) {
if (parent[a] == a)
return a;
return parent[a] = find(parent[a]);
}
void merge(int a, int b) {
a = find(a);
b = find(b);
if (a == b)
return;
if (R[a] > R[b]) {
parent[b] = a;
R[a] += R[b];
} else {
parent[a] = b;
R[b] += R[a];
}
}
void init_par(int n) {
fo(i, n) {
R[i] = 1;
parent[i] = i;
}
}
void solve() {
int n, q;
cin >> n >> q;
init_par(n);
while (q--) {
int type;
cin >> type;
if (type == 0) {
int a, b;
cin >> a >> b;
merge(a, b);
} else {
int a, b;
cin >> a >> b;
if (find(a) == find(b))
cout << "1\n";
else
cout << "0\n";
}
}
}
int32_t main() {
babuBhaiya();
int t;
t = 1;
// cin>>t;
while (t--) {
solve();
}
return 0;
} | replace | 121 | 123 | 121 | 123 | -11 | |
p02558 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
struct UnionFind {
vector<int> par, size;
UnionFind(int x) {
par.resize(x);
size.resize(x, 1);
for (int i = 0; i < x; i++) {
par[i] = i;
}
}
int find(int x) {
if (par[x] == x)
return x;
return par[x] = find(par[x]);
}
bool same(int x, int y) { return find(x) == find(y); }
int consize(int x) { return size[find(x)]; }
void unite(int x, int y) {
x = find(x);
y = find(y);
if (x == y)
return;
if (size[x] < size[y]) {
par[x] = y;
size[y] += size[x];
} else {
par[y] = x;
size[x] += size[y];
}
}
};
int main() {
int N, M;
cin >> N >> M;
UnionFind Onion(M);
for (int i = 0; i < M; i++) {
int a, b, c;
cin >> a >> b >> c;
if (a == 0)
Onion.unite(b, c);
else
cout << (Onion.same(b, c) ? 1 : 0) << endl;
}
} | #include <bits/stdc++.h>
using namespace std;
struct UnionFind {
vector<int> par, size;
UnionFind(int x) {
par.resize(x);
size.resize(x, 1);
for (int i = 0; i < x; i++) {
par[i] = i;
}
}
int find(int x) {
if (par[x] == x)
return x;
return par[x] = find(par[x]);
}
bool same(int x, int y) { return find(x) == find(y); }
int consize(int x) { return size[find(x)]; }
void unite(int x, int y) {
x = find(x);
y = find(y);
if (x == y)
return;
if (size[x] < size[y]) {
par[x] = y;
size[y] += size[x];
} else {
par[y] = x;
size[x] += size[y];
}
}
};
int main() {
int N, M;
cin >> N >> M;
UnionFind Onion(N);
for (int i = 0; i < M; i++) {
int a, b, c;
cin >> a >> b >> c;
if (a == 0)
Onion.unite(b, c);
else
cout << (Onion.same(b, c) ? 1 : 0) << endl;
}
} | replace | 35 | 36 | 35 | 36 | 0 | |
p02558 | C++ | Runtime Error | #pragma GCC optimize("Ofast")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx")
#include <bits/stdc++.h>
#define _GLIBCXX_DEBUG
using namespace std;
using ll = long long;
using vec = vector<ll>;
using vect = vector<double>;
using Graph = vector<vector<ll>>;
#define endl '\n'
#define loop(i, n) for (int i = 0; i < n; i++)
#define Loop(i, m, n) for (ll i = m; i < n; i++)
#define pool(i, n) for (ll i = n; i >= 0; i--)
#define Pool(i, m, n) for (ll i = n; i >= m; i--)
#define modd 1000000007ll
// #define modd 998244353ll
#define flagcount(bit) __builtin_popcount(bit)
#define flag(x) (1ll << x)
#define flagadd(bit, x) bit |= flag(x)
#define flagpop(bit, x) bit &= ~flag(x)
#define flagon(bit, i) bit &flag(i)
#define flagoff(bit, i) !(bit & (1ll << i))
#define all(v) v.begin(), v.end()
#define low2way(v, x) lower_bound(all(v), x)
#define high2way(v, x) upper_bound(all(v), x)
#define idx_lower(v, x) \
(distance(v.begin(), low2way(v, x))) // 配列vでx未満の要素数を返す
#define idx_upper(v, x) \
(distance(v.begin(), high2way(v, x))) // 配列vでx以下の要素数を返す
#define idx_lower2(v, x) \
(v.size() - idx_lower(v, x)) // 配列vでx以上の要素数を返す
#define idx_upper2(v, x) \
(v.size() - idx_upper(v, x)) // 配列vでxより大きい要素の数を返す
#define putout(a) cout << a << '\n'
#define Sum(v) accumulate(all(v), 0ll)
ll ctoi(char c) {
if (c >= '0' && c <= '9') {
return c - '0';
}
return -1;
}
template <typename T> string make_string(T N) {
string ret;
T now = N;
while (now > 0) {
T x = now % 10;
ret += (char)('0' + x);
now /= 10;
}
reverse(all(ret));
return ret;
}
template <typename T> T gcd(T a, T b) {
if (a % b == 0) {
return (b);
} else {
return (gcd(b, a % b));
}
}
template <typename T> T lcm(T x, T y) {
T z = gcd(x, y);
return x * y / z;
}
template <typename T> bool primejudge(T n) {
if (n < 2)
return false;
else if (n == 2)
return true;
else if (n % 2 == 0)
return false;
double sqrtn = sqrt(n);
for (T i = 3; i < sqrtn + 1; i++) {
if (n % i == 0) {
return false;
}
i++;
}
return true;
}
template <typename T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b; // aをbで更新
return true;
}
return false;
}
template <typename T> bool chmin(T &a, const T &b) {
if (a > b) {
a = b; // aをbで更新
return true;
}
return false;
}
// 場合によって使い分ける
// const ll dx[4]={1,0,-1,0};
// const ll dy[4]={0,1,0,-1};
const ll dx[8] = {1, 1, 0, -1, -1, -1, 0, 1};
const ll dy[8] = {0, 1, 1, 1, 0, -1, -1, -1};
class FastIO {
static const int rdata_sz = (1 << 20), wdata_sz = (1 << 20);
char rdata[rdata_sz], wdata[wdata_sz], *rb, *wb;
char tmp_s[20];
public:
FastIO() {
fread(rdata, 1, rdata_sz, stdin);
rb = rdata;
wb = wdata;
}
~FastIO() { fwrite(wdata, 1, wb - wdata, stdout); }
template <typename T> inline void read(T &x) {
bool neg = false;
x = 0;
while ((*rb < '0' || *rb > '9') && *rb != '-')
++rb;
if (*rb == '-') {
neg = true;
++rb;
}
while ('0' <= *rb && *rb <= '9') {
x = 10 * x + (*rb - '0');
++rb;
}
if (neg)
x = -x;
}
#define pc(x) *(wb++) = x
template <typename T> inline void write(T x) {
if (x == 0) {
pc('0');
pc('\n');
return;
}
if (x < 0) {
pc('-');
x = -x;
}
char *t = tmp_s;
while (x) {
T y = x / 10;
*(t++) = (x - y * 10) + '0';
x = y;
}
while (t != tmp_s)
pc(*(--t));
pc('\n');
}
#undef pc
};
struct union_find {
vector<int> par; // 親の番号
vector<int> rank; // 木の深さ(根のランクは0)
vector<int> siz; // 要素xが根なら木の頂点数を格納する
// 初期化子リストを用いた初期化
union_find(int N) : par(N), rank(N), siz(N) {
for (int i = 0; i < N; i++) {
par[i] = i;
rank[i] = 0;
siz[i] = 1;
}
}
// 要素xが所属する木の根を再帰的に発見する
int root(int x) {
if (par[x] == x)
return x;
return par[x] = root(par[x]); // 経路圧縮
}
// 要素xが属する木と要素yが属する木の併合
void unite(int x, int y) {
int rx = root(x);
int ry = root(y);
if (rx == ry)
return; // 同じ木に属してたらそのまま
if (rank[rx] < rank[ry]) {
par[rx] = ry; // 根がryの木に併合
siz[ry] = siz[rx] + siz[ry];
} else {
par[ry] = rx; // 根がrxの木に併合
siz[rx] = siz[rx] + siz[ry];
if (rank[rx] == rank[ry])
rank[rx]++;
}
}
// 要素xが属する木と要素yが属する木が同じならtrueを返す
bool same(int x, int y) { return root(x) == root(y); }
// 要素xが属する木の頂点数を返す
int size(int x) { return siz[root(x)]; }
};
int main() {
FastIO io;
int N, Q;
io.read(N);
io.read(Q);
union_find tree(N);
for (int i = 0; i < Q; i++) {
int a, b, c;
io.read(a);
io.read(b);
io.read(c);
if (a == 1)
if (tree.same(b, c))
io.write(1);
else
io.write(0);
if (a == 0)
tree.unite(b, c);
}
return 0;
}
| #pragma GCC optimize("Ofast")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx")
#include <bits/stdc++.h>
#define _GLIBCXX_DEBUG
using namespace std;
using ll = long long;
using vec = vector<ll>;
using vect = vector<double>;
using Graph = vector<vector<ll>>;
#define endl '\n'
#define loop(i, n) for (int i = 0; i < n; i++)
#define Loop(i, m, n) for (ll i = m; i < n; i++)
#define pool(i, n) for (ll i = n; i >= 0; i--)
#define Pool(i, m, n) for (ll i = n; i >= m; i--)
#define modd 1000000007ll
// #define modd 998244353ll
#define flagcount(bit) __builtin_popcount(bit)
#define flag(x) (1ll << x)
#define flagadd(bit, x) bit |= flag(x)
#define flagpop(bit, x) bit &= ~flag(x)
#define flagon(bit, i) bit &flag(i)
#define flagoff(bit, i) !(bit & (1ll << i))
#define all(v) v.begin(), v.end()
#define low2way(v, x) lower_bound(all(v), x)
#define high2way(v, x) upper_bound(all(v), x)
#define idx_lower(v, x) \
(distance(v.begin(), low2way(v, x))) // 配列vでx未満の要素数を返す
#define idx_upper(v, x) \
(distance(v.begin(), high2way(v, x))) // 配列vでx以下の要素数を返す
#define idx_lower2(v, x) \
(v.size() - idx_lower(v, x)) // 配列vでx以上の要素数を返す
#define idx_upper2(v, x) \
(v.size() - idx_upper(v, x)) // 配列vでxより大きい要素の数を返す
#define putout(a) cout << a << '\n'
#define Sum(v) accumulate(all(v), 0ll)
ll ctoi(char c) {
if (c >= '0' && c <= '9') {
return c - '0';
}
return -1;
}
template <typename T> string make_string(T N) {
string ret;
T now = N;
while (now > 0) {
T x = now % 10;
ret += (char)('0' + x);
now /= 10;
}
reverse(all(ret));
return ret;
}
template <typename T> T gcd(T a, T b) {
if (a % b == 0) {
return (b);
} else {
return (gcd(b, a % b));
}
}
template <typename T> T lcm(T x, T y) {
T z = gcd(x, y);
return x * y / z;
}
template <typename T> bool primejudge(T n) {
if (n < 2)
return false;
else if (n == 2)
return true;
else if (n % 2 == 0)
return false;
double sqrtn = sqrt(n);
for (T i = 3; i < sqrtn + 1; i++) {
if (n % i == 0) {
return false;
}
i++;
}
return true;
}
template <typename T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b; // aをbで更新
return true;
}
return false;
}
template <typename T> bool chmin(T &a, const T &b) {
if (a > b) {
a = b; // aをbで更新
return true;
}
return false;
}
// 場合によって使い分ける
// const ll dx[4]={1,0,-1,0};
// const ll dy[4]={0,1,0,-1};
const ll dx[8] = {1, 1, 0, -1, -1, -1, 0, 1};
const ll dy[8] = {0, 1, 1, 1, 0, -1, -1, -1};
class FastIO {
static const int rdata_sz = (1 << 23), wdata_sz = (1 << 23);
char rdata[rdata_sz], wdata[wdata_sz], *rb, *wb;
char tmp_s[20];
public:
FastIO() {
fread(rdata, 1, rdata_sz, stdin);
rb = rdata;
wb = wdata;
}
~FastIO() { fwrite(wdata, 1, wb - wdata, stdout); }
template <typename T> inline void read(T &x) {
bool neg = false;
x = 0;
while ((*rb < '0' || *rb > '9') && *rb != '-')
++rb;
if (*rb == '-') {
neg = true;
++rb;
}
while ('0' <= *rb && *rb <= '9') {
x = 10 * x + (*rb - '0');
++rb;
}
if (neg)
x = -x;
}
#define pc(x) *(wb++) = x
template <typename T> inline void write(T x) {
if (x == 0) {
pc('0');
pc('\n');
return;
}
if (x < 0) {
pc('-');
x = -x;
}
char *t = tmp_s;
while (x) {
T y = x / 10;
*(t++) = (x - y * 10) + '0';
x = y;
}
while (t != tmp_s)
pc(*(--t));
pc('\n');
}
#undef pc
};
struct union_find {
vector<int> par; // 親の番号
vector<int> rank; // 木の深さ(根のランクは0)
vector<int> siz; // 要素xが根なら木の頂点数を格納する
// 初期化子リストを用いた初期化
union_find(int N) : par(N), rank(N), siz(N) {
for (int i = 0; i < N; i++) {
par[i] = i;
rank[i] = 0;
siz[i] = 1;
}
}
// 要素xが所属する木の根を再帰的に発見する
int root(int x) {
if (par[x] == x)
return x;
return par[x] = root(par[x]); // 経路圧縮
}
// 要素xが属する木と要素yが属する木の併合
void unite(int x, int y) {
int rx = root(x);
int ry = root(y);
if (rx == ry)
return; // 同じ木に属してたらそのまま
if (rank[rx] < rank[ry]) {
par[rx] = ry; // 根がryの木に併合
siz[ry] = siz[rx] + siz[ry];
} else {
par[ry] = rx; // 根がrxの木に併合
siz[rx] = siz[rx] + siz[ry];
if (rank[rx] == rank[ry])
rank[rx]++;
}
}
// 要素xが属する木と要素yが属する木が同じならtrueを返す
bool same(int x, int y) { return root(x) == root(y); }
// 要素xが属する木の頂点数を返す
int size(int x) { return siz[root(x)]; }
};
int main() {
FastIO io;
int N, Q;
io.read(N);
io.read(Q);
union_find tree(N);
for (int i = 0; i < Q; i++) {
int a, b, c;
io.read(a);
io.read(b);
io.read(c);
if (a == 1)
if (tree.same(b, c))
io.write(1);
else
io.write(0);
if (a == 0)
tree.unite(b, c);
}
return 0;
}
| replace | 101 | 102 | 101 | 102 | 0 | |
p02558 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
#define fastio \
ios_base::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0)
const int Mxn = 200005;
int p[Mxn];
int par(int u) {
if (p[u] == u)
return u;
return (p[u] = par(p[u]));
}
int uni(int a, int b) {
int p1 = par(a);
int p2 = par(b);
p[p2] = p1;
}
int main() {
fastio;
int n, q;
cin >> n >> q;
for (int i = 1; i <= n; i++)
p[i] = i;
while (q--) {
int t, u, v;
cin >> t >> u >> v;
if (t == 0) {
uni(u, v);
} else {
cout << (par(u) == par(v) ? 1 : 0) << "\n";
}
}
return 0;
} | #include <bits/stdc++.h>
using namespace std;
#define fastio \
ios_base::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0)
const int Mxn = 200005;
int p[Mxn];
int par(int u) {
if (p[u] == u)
return u;
return (p[u] = par(p[u]));
}
void uni(int a, int b) {
int p1 = par(a);
int p2 = par(b);
p[p2] = p1;
}
int main() {
fastio;
int n, q;
cin >> n >> q;
for (int i = 1; i <= n; i++)
p[i] = i;
while (q--) {
int t, u, v;
cin >> t >> u >> v;
if (t == 0) {
uni(u, v);
} else {
cout << (par(u) == par(v) ? 1 : 0) << "\n";
}
}
return 0;
} | replace | 16 | 17 | 16 | 17 | 0 | |
p02559 | C++ | Time Limit Exceeded | #include <bits/stdc++.h>
using namespace std;
const int nax = 5e5 + 5;
vector<long long> st(2 * nax);
int n;
void modify(int p, int v) {
for (st[p += n] += v; p > 0; p--)
st[p >> 1] = st[p] + st[p ^ 1];
}
long long sum(int l, int r) {
l += n, r += n;
long long ans = 0;
while (l < r) {
if (l & 1)
ans += st[l++];
if (r & 1)
ans += st[--r];
l >>= 1, r >>= 1;
}
return ans;
}
int main() {
int q, a, b, t;
cin >> n >> q;
for (int i = 0; i < n; i++) {
st[i] = 0;
cin >> st[i + n];
}
for (int i = n - 1; i > 0; i--)
st[i] = st[2 * i] + st[2 * i + 1];
while (q--) {
cin >> t >> a >> b;
if (!t) {
modify(a, b);
} else
cout << sum(a, b) << endl;
}
return 0;
}
| #include <bits/stdc++.h>
using namespace std;
const int nax = 5e5 + 5;
vector<long long> st(2 * nax);
int n;
void modify(int p, int v) {
for (st[p += n] += v; p > 0; p >>= 1)
st[p >> 1] = st[p] + st[p ^ 1];
}
long long sum(int l, int r) {
l += n, r += n;
long long ans = 0;
while (l < r) {
if (l & 1)
ans += st[l++];
if (r & 1)
ans += st[--r];
l >>= 1, r >>= 1;
}
return ans;
}
int main() {
int q, a, b, t;
cin >> n >> q;
for (int i = 0; i < n; i++) {
st[i] = 0;
cin >> st[i + n];
}
for (int i = n - 1; i > 0; i--)
st[i] = st[2 * i] + st[2 * i + 1];
while (q--) {
cin >> t >> a >> b;
if (!t) {
modify(a, b);
} else
cout << sum(a, b) << endl;
}
return 0;
}
| replace | 8 | 9 | 8 | 9 | TLE | |
p02559 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
template <class T> struct fenwick_tree {
// using U = internal::to_unsigned_t<T>;
using U = T;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
int main() {
int N, Q, q, p, l, r;
cin >> N >> Q;
fenwick_tree<ll> ft(N);
ll a, x;
for (int i = 0; i < Q; i++) {
cin >> a;
ft.add(i, a);
}
for (int i = 0; i < Q; i++) {
cin >> q;
if (q) {
cin >> l >> r;
cout << ft.sum(l, r) << "\n";
} else {
cin >> p >> x;
ft.add(p, x);
}
}
return 0;
} | #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
template <class T> struct fenwick_tree {
// using U = internal::to_unsigned_t<T>;
using U = T;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
int main() {
int N, Q, q, p, l, r;
cin >> N >> Q;
fenwick_tree<ll> ft(N);
ll a, x;
for (int i = 0; i < N; i++) {
cin >> a;
ft.add(i, a);
}
for (int i = 0; i < Q; i++) {
cin >> q;
if (q) {
cin >> l >> r;
cout << ft.sum(l, r) << "\n";
} else {
cin >> p >> x;
ft.add(p, x);
}
}
return 0;
} | replace | 45 | 46 | 45 | 46 | 0 | |
p02559 | C++ | Runtime Error | #include <cstdio>
#include <iostream>
#include <vector>
using namespace std;
using ui = unsigned int;
using ul = unsigned long;
#pragma GCC optimize("Ofast")
#define loop(i, n) for (ui i = 0; i < n; i++)
ul bit[500001];
struct BIT {
ui n;
inline ul sum(ui x) {
ul ret = 0;
while (x > 0) {
ret += bit[x];
x -= x & -x;
}
return ret;
}
BIT(ui n0) : n(n0) {}
inline ul sum(ui l, ui r) { return sum(r + 1) - sum(l); }
inline void add(ui i, ul x) {
i++;
while (i <= n) {
bit[i] += x;
i += i & -i;
}
}
};
int main() {
cin.tie(0);
ios::sync_with_stdio(false);
ui N, Q;
cin >> N >> Q;
BIT data(N);
loop(i, N) {
ul A;
cin >> A;
bit[i + 1] = A;
}
for (ui i = 1; i < N; i++)
bit[i + (i & -i)] += bit[i];
loop(i, Q) {
ui a, b, c;
cin >> a >> b >> c;
if (a == 0)
data.add(b, c);
else
cout << data.sum(b, c - 1) << "\n";
}
return 0;
}
| #include <cstdio>
#include <iostream>
#include <vector>
using namespace std;
using ui = unsigned int;
using ul = unsigned long;
#pragma GCC optimize("Ofast")
#define loop(i, n) for (ui i = 0; i < n; i++)
ul bit[550001];
struct BIT {
ui n;
inline ul sum(ui x) {
ul ret = 0;
while (x > 0) {
ret += bit[x];
x -= x & -x;
}
return ret;
}
BIT(ui n0) : n(n0) {}
inline ul sum(ui l, ui r) { return sum(r + 1) - sum(l); }
inline void add(ui i, ul x) {
i++;
while (i <= n) {
bit[i] += x;
i += i & -i;
}
}
};
int main() {
cin.tie(0);
ios::sync_with_stdio(false);
ui N, Q;
cin >> N >> Q;
BIT data(N);
loop(i, N) {
ul A;
cin >> A;
bit[i + 1] = A;
}
for (ui i = 1; i < N; i++)
bit[i + (i & -i)] += bit[i];
loop(i, Q) {
ui a, b, c;
cin >> a >> b >> c;
if (a == 0)
data.add(b, c);
else
cout << data.sum(b, c - 1) << "\n";
}
return 0;
}
| replace | 8 | 9 | 8 | 9 | 0 | |
p02559 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define mp make_pair
#define f first
#define s second
#define sz size()
#define ll long long
#define all(_v) _v.begin(), _v.end()
#define pii pair<int, int>
#define pll pair<ll, ll>
#define pvllvll pair<vector<ll>, vector<ll>>
#define ld long double
#define veci vector<int>
#define vecll vector<ll>
const int dx[4] = {1, -1, 0, 0};
const int dy[4] = {0, 0, -1, 1};
const double PI = 3.1415926535897932384626433832795;
const double eps = 1e-9;
const int MOD1 = 1e9 + 7;
const int MOD2 = 998244353;
ll fw[(int)2e5 + 10];
int n, q;
void upd(int p, ll val) {
for (; p <= n; p += (p & -p))
fw[p] += val;
}
ll sum(int r) {
ll res = 0;
for (; r > 0; r -= (r & -r))
res += fw[r];
return res;
}
void solve() {
cin >> n >> q;
for (int i = 1; i <= n; ++i) {
ll x;
cin >> x;
upd(i, x);
}
while (q--) {
int t, p, x;
cin >> t >> p >> x;
if (!t)
upd(p + 1, x);
else
cout << sum(x) - sum(p) << '\n';
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int T = 1;
/// cin >> T;
while (T--)
solve(), cout << '\n';
return 0;
}
| #include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define mp make_pair
#define f first
#define s second
#define sz size()
#define ll long long
#define all(_v) _v.begin(), _v.end()
#define pii pair<int, int>
#define pll pair<ll, ll>
#define pvllvll pair<vector<ll>, vector<ll>>
#define ld long double
#define veci vector<int>
#define vecll vector<ll>
const int dx[4] = {1, -1, 0, 0};
const int dy[4] = {0, 0, -1, 1};
const double PI = 3.1415926535897932384626433832795;
const double eps = 1e-9;
const int MOD1 = 1e9 + 7;
const int MOD2 = 998244353;
ll fw[(int)5e5 + 10];
int n, q;
void upd(int p, ll val) {
for (; p <= n; p += (p & -p))
fw[p] += val;
}
ll sum(int r) {
ll res = 0;
for (; r > 0; r -= (r & -r))
res += fw[r];
return res;
}
void solve() {
cin >> n >> q;
for (int i = 1; i <= n; ++i) {
ll x;
cin >> x;
upd(i, x);
}
while (q--) {
int t, p, x;
cin >> t >> p >> x;
if (!t)
upd(p + 1, x);
else
cout << sum(x) - sum(p) << '\n';
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int T = 1;
/// cin >> T;
while (T--)
solve(), cout << '\n';
return 0;
}
| replace | 23 | 24 | 23 | 24 | 0 | |
p02559 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
// #define int long long
typedef long long ll;
typedef unsigned long long ul;
typedef unsigned int ui;
const ll mod = 1000000007;
const ll INF = mod * mod;
const int INF_N = 1e+9;
typedef pair<int, int> P;
// #define stop char nyaa;cin>>nyaa;
#define rep(i, n) for (int i = 0; i < n; i++)
#define per(i, n) for (int i = n - 1; i >= 0; i--)
#define Rep(i, sta, n) for (int i = sta; i < n; i++)
#define rep1(i, n) for (int i = 1; i <= n; i++)
#define per1(i, n) for (int i = n; i >= 1; i--)
#define Rep1(i, sta, n) for (int i = sta; i <= n; i++)
#define all(v) (v).begin(), (v).end()
typedef pair<ll, ll> LP;
typedef long double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-12;
const ld pi = acos(-1.0);
// typedef vector<vector<ll>> mat;
typedef vector<int> vec;
// 繰り返し二乗法
ll mod_pow(ll a, ll n, ll m) {
ll res = 1;
while (n) {
if (n & 1)
res = res * a % m;
a = a * a % m;
n >>= 1;
}
return res;
}
struct modint {
ll n;
modint() : n(0) { ; }
modint(ll m) : n(m) {
if (n >= mod)
n %= mod;
else if (n < 0)
n = (n % mod + mod) % mod;
}
operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
modint operator+=(modint &a, modint b) {
a.n += b.n;
if (a.n >= mod)
a.n -= mod;
return a;
}
modint operator-=(modint &a, modint b) {
a.n -= b.n;
if (a.n < 0)
a.n += mod;
return a;
}
modint operator*=(modint &a, modint b) {
a.n = ((ll)a.n * b.n) % mod;
return a;
}
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, int n) {
if (n == 0)
return modint(1);
modint res = (a * a) ^ (n / 2);
if (n % 2)
res = res * a;
return res;
}
// 逆元(Eucledean algorithm)
ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p); }
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }
const int max_n = 1 << 18;
modint fact[max_n], factinv[max_n];
void init_f() {
fact[0] = modint(1);
for (int i = 0; i < max_n - 1; i++) {
fact[i + 1] = fact[i] * modint(i + 1);
}
factinv[max_n - 1] = modint(1) / fact[max_n - 1];
for (int i = max_n - 2; i >= 0; i--) {
factinv[i] = factinv[i + 1] * modint(i + 1);
}
}
modint comb(int a, int b) {
if (a < 0 || b < 0 || a < b)
return 0;
return fact[a] * factinv[b] * factinv[a - b];
}
using mP = pair<modint, modint>;
int dx[4] = {0, 1, 0, -1};
int dy[4] = {1, 0, -1, 0};
template <typename T> struct BinaryIndexedTree {
vector<T> data;
BinaryIndexedTree(int sz) { data.assign(++sz, 0); }
T sum(int k) {
T ret = 0;
for (++k; k > 0; k -= k & -k)
ret += data[k];
return (ret);
}
void add(int k, T x) {
for (++k; k < data.size(); k += k & -k)
data[k] += x;
}
};
void solve() {
int n, q;
cin >> n >> q;
BinaryIndexedTree<ll> bit(n);
rep(i, q) {
ll a;
cin >> a;
bit.add(i, a);
}
rep(i, q) {
ll c, a, b;
cin >> c >> a >> b;
if (c == 0) {
bit.add(a, b);
} else {
cout << bit.sum(b - 1) - bit.sum(a - 1) << endl;
}
}
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
// cout << fixed << setprecision(10);
// init_f();
// init();
// int t; cin >> t; rep(i, t)solve();
solve();
// stop
return 0;
}
| #include <bits/stdc++.h>
using namespace std;
// #define int long long
typedef long long ll;
typedef unsigned long long ul;
typedef unsigned int ui;
const ll mod = 1000000007;
const ll INF = mod * mod;
const int INF_N = 1e+9;
typedef pair<int, int> P;
// #define stop char nyaa;cin>>nyaa;
#define rep(i, n) for (int i = 0; i < n; i++)
#define per(i, n) for (int i = n - 1; i >= 0; i--)
#define Rep(i, sta, n) for (int i = sta; i < n; i++)
#define rep1(i, n) for (int i = 1; i <= n; i++)
#define per1(i, n) for (int i = n; i >= 1; i--)
#define Rep1(i, sta, n) for (int i = sta; i <= n; i++)
#define all(v) (v).begin(), (v).end()
typedef pair<ll, ll> LP;
typedef long double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-12;
const ld pi = acos(-1.0);
// typedef vector<vector<ll>> mat;
typedef vector<int> vec;
// 繰り返し二乗法
ll mod_pow(ll a, ll n, ll m) {
ll res = 1;
while (n) {
if (n & 1)
res = res * a % m;
a = a * a % m;
n >>= 1;
}
return res;
}
struct modint {
ll n;
modint() : n(0) { ; }
modint(ll m) : n(m) {
if (n >= mod)
n %= mod;
else if (n < 0)
n = (n % mod + mod) % mod;
}
operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
modint operator+=(modint &a, modint b) {
a.n += b.n;
if (a.n >= mod)
a.n -= mod;
return a;
}
modint operator-=(modint &a, modint b) {
a.n -= b.n;
if (a.n < 0)
a.n += mod;
return a;
}
modint operator*=(modint &a, modint b) {
a.n = ((ll)a.n * b.n) % mod;
return a;
}
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, int n) {
if (n == 0)
return modint(1);
modint res = (a * a) ^ (n / 2);
if (n % 2)
res = res * a;
return res;
}
// 逆元(Eucledean algorithm)
ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p); }
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }
const int max_n = 1 << 18;
modint fact[max_n], factinv[max_n];
void init_f() {
fact[0] = modint(1);
for (int i = 0; i < max_n - 1; i++) {
fact[i + 1] = fact[i] * modint(i + 1);
}
factinv[max_n - 1] = modint(1) / fact[max_n - 1];
for (int i = max_n - 2; i >= 0; i--) {
factinv[i] = factinv[i + 1] * modint(i + 1);
}
}
modint comb(int a, int b) {
if (a < 0 || b < 0 || a < b)
return 0;
return fact[a] * factinv[b] * factinv[a - b];
}
using mP = pair<modint, modint>;
int dx[4] = {0, 1, 0, -1};
int dy[4] = {1, 0, -1, 0};
template <typename T> struct BinaryIndexedTree {
vector<T> data;
BinaryIndexedTree(int sz) { data.assign(++sz, 0); }
T sum(int k) {
T ret = 0;
for (++k; k > 0; k -= k & -k)
ret += data[k];
return (ret);
}
void add(int k, T x) {
for (++k; k < data.size(); k += k & -k)
data[k] += x;
}
};
void solve() {
int n, q;
cin >> n >> q;
BinaryIndexedTree<ll> bit(n);
rep(i, n) {
ll a;
cin >> a;
bit.add(i, a);
}
rep(i, q) {
ll c, a, b;
cin >> c >> a >> b;
if (c == 0) {
bit.add(a, b);
} else {
cout << bit.sum(b - 1) - bit.sum(a - 1) << endl;
}
}
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
// cout << fixed << setprecision(10);
// init_f();
// init();
// int t; cin >> t; rep(i, t)solve();
solve();
// stop
return 0;
}
| replace | 128 | 129 | 128 | 129 | 0 | |
p02559 | C++ | Runtime Error | #include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <typename T>
using ordered_set =
tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define int long long
#define ar array
#define db double
#define filename "SUBKGCD"
#define pow pw
const db pi = 3.14159265358979323846;
int pw(int a, int b) {
int ans = 1;
while (b) {
if (b % 2)
ans *= a;
a *= a;
b /= 2;
}
return (ans);
}
const int mxn = 2e5 + 3;
int n, q;
int ft[2 * mxn];
void upd(int i, int v) {
while (i <= n) {
ft[i] += v;
i += i & -i;
}
}
int que(int i) {
int res = 0;
while (i >= 1) {
res += ft[i];
i -= i & -i;
}
return (res);
}
signed main() {
// freopen(filename".inp","r",stdin);
// freopen(filename".out","w",stdout);
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin >> n >> q;
for (int i = 1; i <= n; i++) {
int x;
cin >> x;
upd(i, x);
}
while (q--) {
int qu, a, b;
cin >> qu >> a >> b;
if (qu == 0) {
upd(a + 1, b);
} else
cout << que(b) - que(a) << "\n";
}
return 0;
}
| #include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <typename T>
using ordered_set =
tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define int long long
#define ar array
#define db double
#define filename "SUBKGCD"
#define pow pw
const db pi = 3.14159265358979323846;
int pw(int a, int b) {
int ans = 1;
while (b) {
if (b % 2)
ans *= a;
a *= a;
b /= 2;
}
return (ans);
}
const int mxn = 5e5 + 3;
int n, q;
int ft[2 * mxn];
void upd(int i, int v) {
while (i <= n) {
ft[i] += v;
i += i & -i;
}
}
int que(int i) {
int res = 0;
while (i >= 1) {
res += ft[i];
i -= i & -i;
}
return (res);
}
signed main() {
// freopen(filename".inp","r",stdin);
// freopen(filename".out","w",stdout);
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin >> n >> q;
for (int i = 1; i <= n; i++) {
int x;
cin >> x;
upd(i, x);
}
while (q--) {
int qu, a, b;
cin >> qu >> a >> b;
if (qu == 0) {
upd(a + 1, b);
} else
cout << que(b) - que(a) << "\n";
}
return 0;
}
| replace | 24 | 25 | 24 | 25 | 0 | |
p02561 | C++ | Runtime Error | #define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
// template
#define rep(i, a, b) for (int i = (int)(a); i < (int)(b); i++)
#define ALL(v) (v).begin(), (v).end()
typedef long long int ll;
const int inf = 0x3fffffff;
const ll INF = 0x1fffffffffffffff;
const double eps = 1e-12;
template <typename T> inline bool chmax(T &a, T b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <typename T> inline bool chmin(T &a, T b) {
if (a > b) {
a = b;
return 1;
}
return 0;
}
// end
#include <algorithm>
#include <vector>
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
// python3 ac-library/expander.py sol.cpp
int dx[] = {1, -1, 0, 0}, dy[] = {0, 0, 1, -1};
int main() {
int n, m;
cin >> n >> m;
vector<string> g(n), res(n);
rep(i, 0, n) {
cin >> g[i];
res[i] = g[i];
}
atcoder::mf_graph<int> flow(n * m + 2);
int s = n * m, t = n * m + 1;
rep(i, 0, n) rep(j, 0, m) if (g[i][j] == '.' and (i + j) % 2 == 0) {
rep(k, 0, 4) {
int tx = i + dx[k], ty = j + dy[k];
if (tx < 0 or tx >= n or ty < 0 or ty >= m or g[tx][ty] == '#')
continue;
flow.add_edge(i * m + j, tx * m + ty, 1);
}
}
rep(i, 0, n) rep(j, 0, n) if (g[i][j] == '.') {
if ((i + j) % 2 == 0)
flow.add_edge(s, i * m + j, 1);
else
flow.add_edge(i * m + j, t, 1);
}
int val = flow.flow(s, t);
cout << val << endl;
for (auto &e : flow.edges()) {
if (e.from == s or e.to == t)
continue;
if (e.flow != 1)
continue;
int x1 = e.from / m, y1 = e.from % m;
int x2 = e.to / m, y2 = e.to % m;
if (x1 == x2) {
if (y1 > y2)
swap(y1, y2);
res[x1][y1] = '>';
res[x2][y2] = '<';
} else {
if (x1 > x2)
swap(x1, x2);
res[x1][y1] = 'v';
res[x2][y2] = '^';
}
}
rep(i, 0, n) cout << res[i] << endl;
return 0;
}
| #define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
// template
#define rep(i, a, b) for (int i = (int)(a); i < (int)(b); i++)
#define ALL(v) (v).begin(), (v).end()
typedef long long int ll;
const int inf = 0x3fffffff;
const ll INF = 0x1fffffffffffffff;
const double eps = 1e-12;
template <typename T> inline bool chmax(T &a, T b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <typename T> inline bool chmin(T &a, T b) {
if (a > b) {
a = b;
return 1;
}
return 0;
}
// end
#include <algorithm>
#include <vector>
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
// python3 ac-library/expander.py sol.cpp
int dx[] = {1, -1, 0, 0}, dy[] = {0, 0, 1, -1};
int main() {
int n, m;
cin >> n >> m;
vector<string> g(n), res(n);
rep(i, 0, n) {
cin >> g[i];
res[i] = g[i];
}
atcoder::mf_graph<int> flow(n * m + 2);
int s = n * m, t = n * m + 1;
rep(i, 0, n) rep(j, 0, m) if (g[i][j] == '.' and (i + j) % 2 == 0) {
rep(k, 0, 4) {
int tx = i + dx[k], ty = j + dy[k];
if (tx < 0 or tx >= n or ty < 0 or ty >= m or g[tx][ty] == '#')
continue;
flow.add_edge(i * m + j, tx * m + ty, 1);
}
}
rep(i, 0, n) rep(j, 0, m) {
if ((i + j) % 2 == 0)
flow.add_edge(s, i * m + j, 1);
else
flow.add_edge(i * m + j, t, 1);
}
int val = flow.flow(s, t);
cout << val << endl;
for (auto &e : flow.edges()) {
if (e.from == s or e.to == t)
continue;
if (e.flow != 1)
continue;
int x1 = e.from / m, y1 = e.from % m;
int x2 = e.to / m, y2 = e.to % m;
if (x1 == x2) {
if (y1 > y2)
swap(y1, y2);
res[x1][y1] = '>';
res[x2][y2] = '<';
} else {
if (x1 > x2)
swap(x1, x2);
res[x1][y1] = 'v';
res[x2][y2] = '^';
}
}
rep(i, 0, n) cout << res[i] << endl;
return 0;
}
| replace | 222 | 223 | 222 | 223 | 0 | |
p02561 | Python | Runtime Error | import sys
import itertools
import numpy as np
import networkx as nx
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
N, M = map(int, readline().split())
S = np.frombuffer(read(), "S1").reshape(N, -1)[:, :M].astype("U1")
A = []
B = []
E = []
for i, j in itertools.product(range(N), range(M)):
if S[i, j] == "#":
continue
elif (i + j) & 1:
A.append((i, j))
else:
B.append((i, j))
for i, j in A:
for dx, dy in ((1, 0), (-1, 0), (0, 1), (0, -1)):
i1, j1 = i + dx, j + dy
if 0 <= i1 < N and 0 <= j1 < M and S[i1, j1] != "#":
E.append(((i, j), (i1, j1)))
G = nx.Graph()
G.add_nodes_from(A, bipartite=0)
G.add_nodes_from(B, bipartite=1)
G.add_edges_from(E)
M = nx.bipartite.eppstein_matching(G)
for key, item in M.items():
i, j = key
i1, j1 = item
if i1 == i + 1:
a, b = "v", "^"
elif i1 == i - 1:
a, b = "^", "v"
elif j1 == j + 1:
a, b = ">", "<"
else:
a, b = "<", ">"
S[i, j], S[i1, j1] = a, b
print(len(M) // 2)
for row in S:
print("".join(row))
| import sys
import itertools
import numpy as np
import networkx as nx
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
N, M = map(int, readline().split())
S = np.frombuffer(read(), "S1").reshape(N, -1)[:, :M].astype("U1")
A = []
B = []
E = []
for i, j in itertools.product(range(N), range(M)):
if S[i, j] == "#":
continue
elif (i + j) & 1:
A.append((i, j))
else:
B.append((i, j))
for i, j in A:
for dx, dy in ((1, 0), (-1, 0), (0, 1), (0, -1)):
i1, j1 = i + dx, j + dy
if 0 <= i1 < N and 0 <= j1 < M and S[i1, j1] != "#":
E.append(((i, j), (i1, j1)))
G = nx.Graph()
G.add_nodes_from(A, bipartite=0)
G.add_nodes_from(B, bipartite=1)
G.add_edges_from(E)
M = nx.bipartite.eppstein_matching(G, A)
for key, item in M.items():
i, j = key
i1, j1 = item
if i1 == i + 1:
a, b = "v", "^"
elif i1 == i - 1:
a, b = "^", "v"
elif j1 == j + 1:
a, b = ">", "<"
else:
a, b = "<", ">"
S[i, j], S[i1, j1] = a, b
print(len(M) // 2)
for row in S:
print("".join(row))
| replace | 35 | 36 | 35 | 36 | TLE | |
p02561 | C++ | Runtime Error | #define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
#include <unordered_map>
using namespace std;
typedef long long ll;
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
while (!que.empty())
que.pop();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
void solve() {
int n, m;
cin >> n >> m;
vector<string> d(n);
for (int i = 0; i < n; i++)
cin >> d[i];
mf_graph<int> g(n * m + 2);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
int from = m * i + j + 1 + 1;
if (d[i][j] == '.' && j + 1 < m && d[i][j + 1] == '.') {
int to = m * i + j + 2 + 1;
if ((i + j) % 2 == 0)
g.add_edge(from, to, 1);
else
g.add_edge(to, from, 1);
}
if (d[i][j] == '.' && i + 1 < n && d[i + 1][j] == '.') {
int to = m * (i + 1) + j + 1 + 1;
if ((i + j) % 2 == 0)
g.add_edge(from, to, 1);
else
g.add_edge(to, from, 1);
}
if (d[i][j] == '.') {
if ((i + j) % 2 == 0)
g.add_edge(0, from, 1);
else
g.add_edge(from, 1, 1);
}
}
}
vector<string> ans = d;
cout << g.flow(0, 1) << '\n';
int num = 0;
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
int from = m * i + j + 1 + 1;
if (d[i][j] == '.' && j + 1 < m && d[i][j + 1] == '.') {
int to = m * i + j + 2 + 1;
if (g.get_edge(num).flow == 1) {
ans[i][j] = '>';
ans[i][j + 1] = '<';
}
num++;
}
if (d[i][j] == '.' && i + 1 < n && d[i + 1][j] == '.') {
int to = m * (i + 1) + j + 1 + 1;
if (g.get_edge(num).flow == 1) {
ans[i][j] = 'v';
ans[i + 1][j] = '^';
}
num++;
}
if (d[i][j] == '.') {
num++;
}
}
}
for (int i = 0; i < n; i++)
cout << ans[i] << '\n';
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
#if defined(_DEBUG)
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
int q = 1;
// cin >> q;
for (; q > 0; q--) {
solve();
// cout << endl;
}
} | #define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
#include <unordered_map>
using namespace std;
typedef long long ll;
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
while (!que.empty())
que.pop();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
void solve() {
int n, m;
cin >> n >> m;
vector<string> d(n);
for (int i = 0; i < n; i++)
cin >> d[i];
mf_graph<int> g(n * m + 2);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
int from = m * i + j + 1 + 1;
if (d[i][j] == '.' && j + 1 < m && d[i][j + 1] == '.') {
int to = m * i + j + 2 + 1;
if ((i + j) % 2 == 0)
g.add_edge(from, to, 1);
else
g.add_edge(to, from, 1);
}
if (d[i][j] == '.' && i + 1 < n && d[i + 1][j] == '.') {
int to = m * (i + 1) + j + 1 + 1;
if ((i + j) % 2 == 0)
g.add_edge(from, to, 1);
else
g.add_edge(to, from, 1);
}
if (d[i][j] == '.') {
if ((i + j) % 2 == 0)
g.add_edge(0, from, 1);
else
g.add_edge(from, 1, 1);
}
}
}
vector<string> ans = d;
cout << g.flow(0, 1) << '\n';
int num = 0;
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
int from = m * i + j + 1 + 1;
if (d[i][j] == '.' && j + 1 < m && d[i][j + 1] == '.') {
int to = m * i + j + 2 + 1;
if (g.get_edge(num).flow == 1) {
ans[i][j] = '>';
ans[i][j + 1] = '<';
}
num++;
}
if (d[i][j] == '.' && i + 1 < n && d[i + 1][j] == '.') {
int to = m * (i + 1) + j + 1 + 1;
if (g.get_edge(num).flow == 1) {
ans[i][j] = 'v';
ans[i + 1][j] = '^';
}
num++;
}
if (d[i][j] == '.') {
num++;
}
}
}
for (int i = 0; i < n; i++)
cout << ans[i] << '\n';
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
#if defined(_DEBUG)
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
int q = 1;
// cin >> q;
for (; q > 0; q--) {
solve();
// cout << endl;
}
} | replace | 186 | 187 | 186 | 187 | 0 | |
p02561 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
#define inf 2000000000 // 1e17
template <class T> struct Dinic {
struct edge {
int to;
T cap;
int rev;
};
vector<vector<edge>> edges;
vector<int> id;
vector<int> d;
Dinic(int n = 1) {
edges.clear();
edges.resize(n);
id.resize(n);
d.resize(n);
}
bool add(int start, int goal, T capacity) {
edges[start].push_back((edge){goal, capacity, (int)edges[goal].size()});
edges[goal].push_back((edge){start, 0, (int)edges[start].size() - 1});
return 1;
}
void bfs(int st) {
d.assign(d.size(), -1);
queue<int> qu;
d[st] = 0;
qu.push(st);
while (qu.size()) {
int now = qu.front();
qu.pop();
for (auto e : edges[now])
if (e.cap > 0 && d[e.to] < 0) {
d[e.to] = d[now] + 1;
qu.push(e.to);
}
}
}
T pathdfs(int now, int goal, T nf) {
if (now == goal)
return nf;
for (int &i = id[now]; i < (int)edges[now].size(); ++i) {
edge *e = &edges[now][i];
if (e->cap > 0 && d[now] < d[e->to]) {
T res = pathdfs(e->to, goal, min(nf, e->cap));
if (res > 0) {
e->cap -= res;
edges[e->to][e->rev].cap += res;
return res;
}
}
}
return 0;
}
T solve(int start, int goal) {
T res = 0, nf = 0;
while (1) {
bfs(start);
if (d[goal] < 0)
return res;
id.assign(id.size(), 0);
while ((nf = pathdfs(start, goal, inf)) > 0)
res += nf;
}
return -1;
}
};
int n, m;
int d[] = {0, 1, 0, -1};
string c1 = ">v<^", c2 = "<^>v";
vector<string> s;
Dinic<int> din;
bool isvalid(int x, int y) {
return x >= 0 && x < n && y >= 0 && y < m && s[x][y] == '.';
}
int main() {
cin >> n >> m;
s.resize(n);
for (auto &p : s)
cin >> p;
din = Dinic<int>(n * m + 2);
for (int i = 0; i < n; ++i)
for (int j = 0; j < m; ++j)
if (s[i][j] == '.') {
if ((i ^ j) & 1)
din.add(i * m + j, n * m + 1, 1);
else {
din.add(n * m, i * m + j, 1);
for (int k = 0; k < 4; ++k) {
int nx = i + d[k], ny = j + d[k ^ 1];
if (isvalid(nx, ny))
din.add(i * m + j, nx * m + ny, 1);
}
}
}
cout << din.solve(n * m, n * m + 1) << endl;
for (int i = 0; i < n; ++i)
for (int j = 0; j < m; ++j)
if (!((i ^ j) & 1)) {
for (auto e : din.edges[i * m + j])
if (e.cap == 0) {
int nx = e.to / m, ny = e.to % m;
for (int k = 0; k < 4; ++k)
if (i + d[k] == nx && j + d[1 ^ k] == ny) {
s[i][j] = c1[k];
s[nx][ny] = c2[k];
}
}
}
for (auto p : s)
cout << p << endl;
return 0;
}
| #include <bits/stdc++.h>
using namespace std;
#define inf 2000000000 // 1e17
template <class T> struct Dinic {
struct edge {
int to;
T cap;
int rev;
};
vector<vector<edge>> edges;
vector<int> id;
vector<int> d;
Dinic(int n = 1) {
edges.clear();
edges.resize(n);
id.resize(n);
d.resize(n);
}
bool add(int start, int goal, T capacity) {
edges[start].push_back((edge){goal, capacity, (int)edges[goal].size()});
edges[goal].push_back((edge){start, 0, (int)edges[start].size() - 1});
return 1;
}
void bfs(int st) {
d.assign(d.size(), -1);
queue<int> qu;
d[st] = 0;
qu.push(st);
while (qu.size()) {
int now = qu.front();
qu.pop();
for (auto e : edges[now])
if (e.cap > 0 && d[e.to] < 0) {
d[e.to] = d[now] + 1;
qu.push(e.to);
}
}
}
T pathdfs(int now, int goal, T nf) {
if (now == goal)
return nf;
for (int &i = id[now]; i < (int)edges[now].size(); ++i) {
edge *e = &edges[now][i];
if (e->cap > 0 && d[now] < d[e->to]) {
T res = pathdfs(e->to, goal, min(nf, e->cap));
if (res > 0) {
e->cap -= res;
edges[e->to][e->rev].cap += res;
return res;
}
}
}
return 0;
}
T solve(int start, int goal) {
T res = 0, nf = 0;
while (1) {
bfs(start);
if (d[goal] < 0)
return res;
id.assign(id.size(), 0);
while ((nf = pathdfs(start, goal, inf)) > 0)
res += nf;
}
return -1;
}
};
int n, m;
int d[] = {0, 1, 0, -1};
string c1 = ">v<^", c2 = "<^>v";
vector<string> s;
Dinic<int> din;
bool isvalid(int x, int y) {
return x >= 0 && x < n && y >= 0 && y < m && s[x][y] == '.';
}
int main() {
cin >> n >> m;
s.resize(n);
for (auto &p : s)
cin >> p;
if (n == m && n == 1) {
cout << 0 << endl;
cout << s[0] << endl;
return 0;
}
din = Dinic<int>(n * m + 2);
for (int i = 0; i < n; ++i)
for (int j = 0; j < m; ++j)
if (s[i][j] == '.') {
if ((i ^ j) & 1)
din.add(i * m + j, n * m + 1, 1);
else {
din.add(n * m, i * m + j, 1);
for (int k = 0; k < 4; ++k) {
int nx = i + d[k], ny = j + d[k ^ 1];
if (isvalid(nx, ny))
din.add(i * m + j, nx * m + ny, 1);
}
}
}
cout << din.solve(n * m, n * m + 1) << endl;
for (int i = 0; i < n; ++i)
for (int j = 0; j < m; ++j)
if (!((i ^ j) & 1)) {
for (auto e : din.edges[i * m + j])
if (e.cap == 0) {
int nx = e.to / m, ny = e.to % m;
for (int k = 0; k < 4; ++k)
if (i + d[k] == nx && j + d[1 ^ k] == ny) {
s[i][j] = c1[k];
s[nx][ny] = c2[k];
}
}
}
for (auto p : s)
cout << p << endl;
return 0;
}
| insert | 84 | 84 | 84 | 89 | 0 | |
p02561 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define rep(i, n) for (ll i = 0; i < n; ++i)
#define all(c) begin(c), end(c)
#define PI acos(-1)
#define oo LLONG_MAX
template <typename T1, typename T2> bool chmax(T1 &a, T2 b) {
if (a < b) {
a = b;
return true;
} else
return false;
}
template <typename T1, typename T2> bool chmin(T1 &a, T2 b) {
if (a > b) {
a = b;
return true;
} else
return false;
}
/*
チェス盤の白と黒にわけで、白黒の最大マッチング問題とみなす
スライド39枚目から
https://www.slideshare.net/chokudai/abc010-35598499
まず適当にbfs
次に、
１．つかった線との逆向きの線
２．使わなかった線
だけで行ける場所を再探索。
つけかえ？どう実装するんだろう。
黒の親と白の親
*/
typedef int FLOW; // フローを表す型、今回は int 型
const int MAX_V = 100; // グラフの最大ノード数
const FLOW INF = 100000000; // 十分大きい値
// グラフの辺の構造体
struct Edge {
int rev, from, to;
FLOW cap, icap;
Edge(int r, int f, int t, FLOW c) : rev(r), from(f), to(t), cap(c), icap(c) {}
friend ostream &operator<<(ostream &s, const Edge &E) {
if (E.cap > 0)
return s << E.from << "->" << E.to << '(' << E.cap << ')';
else
return s;
}
};
// グラフ構造体
struct Graph {
int V;
vector<Edge> list[MAX_V];
Graph(int n = 0) : V(n) {
for (int i = 0; i < MAX_V; ++i)
list[i].clear();
}
void init(int n = 0) {
V = n;
for (int i = 0; i < MAX_V; ++i)
list[i].clear();
}
void resize(int n = 0) { V = n; }
void reset() {
for (int i = 0; i < V; ++i)
for (int j = 0; j < (int)list[i].size(); ++j)
list[i][j].cap = list[i][j].icap;
}
inline vector<Edge> &operator[](int i) { return list[i]; }
Edge &redge(Edge e) {
if (e.from != e.to)
return list[e.to][e.rev];
else
return list[e.to][e.rev + 1];
}
void addedge(int from, int to, FLOW cap) {
list[from].push_back(Edge((int)list[to].size(), from, to, cap));
list[to].push_back(Edge((int)list[from].size() - 1, to, from, 0));
}
};
// 最大流を求めるサブルーチンたち
static int level[MAX_V];
static int iter[MAX_V];
void dibfs(Graph &G, int s) {
for (int i = 0; i < MAX_V; ++i)
level[i] = -1;
level[s] = 0;
queue<int> que;
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (int i = 0; i < (int)G[v].size(); ++i) {
Edge &e = G[v][i];
if (level[e.to] < 0 && e.cap > 0) {
level[e.to] = level[v] + 1;
que.push(e.to);
}
}
}
}
FLOW didfs(Graph &G, int v, int t, FLOW f) {
if (v == t)
return f;
for (int &i = iter[v]; i < (int)G[v].size(); ++i) {
Edge &e = G[v][i], &re = G.redge(e);
if (level[v] < level[e.to] && e.cap > 0) {
FLOW d = didfs(G, e.to, t, min(f, e.cap));
if (d > 0) {
e.cap -= d;
re.cap += d;
return d;
}
}
}
return 0;
}
// 最大流を求めるメイン関数
FLOW Dinic(Graph &G, int s, int t) {
FLOW res = 0;
while (true) {
dibfs(G, s);
if (level[t] < 0)
return res;
memset(iter, 0, sizeof(iter));
FLOW flow;
while ((flow = didfs(G, s, t, INF)) > 0) {
res += flow;
}
}
}
int main() {
cin.tie(0);
ios::sync_with_stdio(0);
ll N, M;
cin >> N >> M;
vector<string> S(N);
rep(i, N) cin >> S[i];
// グラフの定義 (ノード数を引数に)
Graph G(N * M + 2);
// スーパーノード S, T の index
ll from = N * M, to = N * M + 1;
vector<ll> dx = {1, 0, -1, 0};
vector<ll> dy = {0, 1, 0, -1};
// グラフに枝を張っていく
rep(i, N) {
rep(j, M) {
if (S[i][j] == '#')
continue;
if ((i + j) % 2 == 0) {
// スーパーノードfromから偶へ容量1の枝
G.addedge(from, i * M + j, 1);
rep(k, 4) {
ll y = i + dy[k];
ll x = j + dx[k];
if (y < 0 || y >= N || x < 0 || x >= M)
continue;
if (S[y][x] == '#')
continue;
// 偶->奇へ容量 1 の枝を張る
G.addedge(i * M + j, y * M + x, 1);
}
} else { // ※順番関係あり。
G.addedge(i * M + j, to, 1);
}
}
}
// 最大流を求める
cout << Dinic(G, from, to) << endl;
// 誰が誰とマッチしたのかを出力する
for (int i = 0; i < N * M; ++i) {
for (auto e : G[i]) {
// 元々の容量 (e.icap) が 1 で、フローが流れて容量 (e.cap) が 0
// になった部分が割り当てられたところ
// i -> e.toにいってるぽい。e.toがN*M+1の箇所もあり。そこは除く。
if (e.icap == 1 && e.cap == 0 && e.to != N * M + 1) {
ll up = i, down = e.to;
if (up > down)
swap(up, down);
if (up + 1 == down) {
S[up / M][up % M] = '>';
S[down / M][down % M] = '<';
}
if (up + M == down) {
S[up / M][up % M] = 'v';
S[down / M][down % M] = '^';
}
}
}
}
rep(i, N) cout << S[i] << endl;
}
| #include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define rep(i, n) for (ll i = 0; i < n; ++i)
#define all(c) begin(c), end(c)
#define PI acos(-1)
#define oo LLONG_MAX
template <typename T1, typename T2> bool chmax(T1 &a, T2 b) {
if (a < b) {
a = b;
return true;
} else
return false;
}
template <typename T1, typename T2> bool chmin(T1 &a, T2 b) {
if (a > b) {
a = b;
return true;
} else
return false;
}
/*
チェス盤の白と黒にわけで、白黒の最大マッチング問題とみなす
スライド39枚目から
https://www.slideshare.net/chokudai/abc010-35598499
まず適当にbfs
次に、
１．つかった線との逆向きの線
２．使わなかった線
だけで行ける場所を再探索。
つけかえ？どう実装するんだろう。
黒の親と白の親
*/
typedef int FLOW; // フローを表す型、今回は int 型
const int MAX_V = 10010; // グラフの最大ノード数
const FLOW INF = 100000000; // 十分大きい値
// グラフの辺の構造体
struct Edge {
int rev, from, to;
FLOW cap, icap;
Edge(int r, int f, int t, FLOW c) : rev(r), from(f), to(t), cap(c), icap(c) {}
friend ostream &operator<<(ostream &s, const Edge &E) {
if (E.cap > 0)
return s << E.from << "->" << E.to << '(' << E.cap << ')';
else
return s;
}
};
// グラフ構造体
struct Graph {
int V;
vector<Edge> list[MAX_V];
Graph(int n = 0) : V(n) {
for (int i = 0; i < MAX_V; ++i)
list[i].clear();
}
void init(int n = 0) {
V = n;
for (int i = 0; i < MAX_V; ++i)
list[i].clear();
}
void resize(int n = 0) { V = n; }
void reset() {
for (int i = 0; i < V; ++i)
for (int j = 0; j < (int)list[i].size(); ++j)
list[i][j].cap = list[i][j].icap;
}
inline vector<Edge> &operator[](int i) { return list[i]; }
Edge &redge(Edge e) {
if (e.from != e.to)
return list[e.to][e.rev];
else
return list[e.to][e.rev + 1];
}
void addedge(int from, int to, FLOW cap) {
list[from].push_back(Edge((int)list[to].size(), from, to, cap));
list[to].push_back(Edge((int)list[from].size() - 1, to, from, 0));
}
};
// 最大流を求めるサブルーチンたち
static int level[MAX_V];
static int iter[MAX_V];
void dibfs(Graph &G, int s) {
for (int i = 0; i < MAX_V; ++i)
level[i] = -1;
level[s] = 0;
queue<int> que;
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (int i = 0; i < (int)G[v].size(); ++i) {
Edge &e = G[v][i];
if (level[e.to] < 0 && e.cap > 0) {
level[e.to] = level[v] + 1;
que.push(e.to);
}
}
}
}
FLOW didfs(Graph &G, int v, int t, FLOW f) {
if (v == t)
return f;
for (int &i = iter[v]; i < (int)G[v].size(); ++i) {
Edge &e = G[v][i], &re = G.redge(e);
if (level[v] < level[e.to] && e.cap > 0) {
FLOW d = didfs(G, e.to, t, min(f, e.cap));
if (d > 0) {
e.cap -= d;
re.cap += d;
return d;
}
}
}
return 0;
}
// 最大流を求めるメイン関数
FLOW Dinic(Graph &G, int s, int t) {
FLOW res = 0;
while (true) {
dibfs(G, s);
if (level[t] < 0)
return res;
memset(iter, 0, sizeof(iter));
FLOW flow;
while ((flow = didfs(G, s, t, INF)) > 0) {
res += flow;
}
}
}
int main() {
cin.tie(0);
ios::sync_with_stdio(0);
ll N, M;
cin >> N >> M;
vector<string> S(N);
rep(i, N) cin >> S[i];
// グラフの定義 (ノード数を引数に)
Graph G(N * M + 2);
// スーパーノード S, T の index
ll from = N * M, to = N * M + 1;
vector<ll> dx = {1, 0, -1, 0};
vector<ll> dy = {0, 1, 0, -1};
// グラフに枝を張っていく
rep(i, N) {
rep(j, M) {
if (S[i][j] == '#')
continue;
if ((i + j) % 2 == 0) {
// スーパーノードfromから偶へ容量1の枝
G.addedge(from, i * M + j, 1);
rep(k, 4) {
ll y = i + dy[k];
ll x = j + dx[k];
if (y < 0 || y >= N || x < 0 || x >= M)
continue;
if (S[y][x] == '#')
continue;
// 偶->奇へ容量 1 の枝を張る
G.addedge(i * M + j, y * M + x, 1);
}
} else { // ※順番関係あり。
G.addedge(i * M + j, to, 1);
}
}
}
// 最大流を求める
cout << Dinic(G, from, to) << endl;
// 誰が誰とマッチしたのかを出力する
for (int i = 0; i < N * M; ++i) {
for (auto e : G[i]) {
// 元々の容量 (e.icap) が 1 で、フローが流れて容量 (e.cap) が 0
// になった部分が割り当てられたところ
// i -> e.toにいってるぽい。e.toがN*M+1の箇所もあり。そこは除く。
if (e.icap == 1 && e.cap == 0 && e.to != N * M + 1) {
ll up = i, down = e.to;
if (up > down)
swap(up, down);
if (up + 1 == down) {
S[up / M][up % M] = '>';
S[down / M][down % M] = '<';
}
if (up + M == down) {
S[up / M][up % M] = 'v';
S[down / M][down % M] = '^';
}
}
}
}
rep(i, N) cout << S[i] << endl;
}
| replace | 39 | 40 | 39 | 40 | 0 | |
p02561 | C++ | Runtime Error | #include <algorithm>
#include <array>
#include <assert.h>
#include <bitset>
#include <chrono>
#include <cmath>
#include <complex>
#include <cstring>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <istream>
#include <map>
#include <math.h>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>
#include <stdint.h>
namespace asl {
template <typename T> using vec = std::vector<T>;
template <typename T>
std::istream &operator>>(std::istream &is, std::vector<T> &vec) {
for (auto &value : vec)
is >> value;
return is;
}
} // namespace asl
#include <experimental/optional>
namespace asl {
template <typename C, typename R = C> class Dinic {
public:
typedef C flow_type;
typedef R result_type;
static_assert(std::is_arithmetic<flow_type>::value,
"flow_type must be arithmetic");
static_assert(std::is_arithmetic<result_type>::value,
"result_type must be arithmetic");
static const flow_type oo = std::numeric_limits<flow_type>::max();
struct edge {
int src;
int dst;
int rev;
flow_type cap, flow;
edge(int src, int dst, int rev, flow_type cap)
: src(src), dst(dst), rev(rev), cap(cap), flow(0) {}
};
Dinic(int n) : adj(n), que(n), level(n), edge_pos(n) {}
int add_edge(int src, int dst, flow_type cap, flow_type rcap = 0) {
adj[src].emplace_back(src, dst, (int)adj[dst].size(), cap);
if (src == dst)
adj[src].back().rev++;
adj[dst].emplace_back(dst, src, (int)adj[src].size() - 1, rcap);
return (int)adj[src].size() - 1 - (src == dst);
}
result_type max_flow(int source, int sink) {
result_type flow = 0;
while (true) {
int front = 0, back = 0;
std::fill(level.begin(), level.end(), -1);
for (level[que[back++] = sink] = 0; front < back && level[source] == -1;
++front) {
int u = que[front];
for (const edge &e : adj[u])
if (level[e.dst] == -1 && rev(e).flow < rev(e).cap)
level[que[back++] = e.dst] = 1 + level[u];
}
if (level[source] == -1)
break;
std::fill(edge_pos.begin(), edge_pos.end(), 0);
std::function<flow_type(int, flow_type)> find_path = [&](int from,
flow_type res) {
if (from == sink)
return res;
for (int &ept = edge_pos[from]; ept < (int)adj[from].size(); ++ept) {
edge &e = adj[from][ept];
if (e.flow == e.cap || level[e.dst] + 1 != level[from])
continue;
flow_type push = find_path(e.dst, std::min(res, e.cap - e.flow));
if (push > 0) {
e.flow += push;
rev(e).flow -= push;
if (e.flow == e.cap)
++ept;
return push;
}
}
return static_cast<flow_type>(0);
};
for (flow_type f; (f = find_path(source, oo)) > 0;)
flow += f;
}
return flow;
}
std::vector<std::vector<edge>> adj;
std::vector<int> que;
std::vector<int> level;
std::vector<int> edge_pos;
inline edge &rev(const edge &e) { return adj[e.dst][e.rev]; }
};
int DIR4[4][2] = {{-1, 0}, {0, +1}, {+1, 0}, {0, -1}};
class VBoard {
public:
int n, m;
VBoard(int n = 0, int m = 0) : n(n), m(m) {}
bool inside(int x, int y) { return 0 <= x && x < n && 0 <= y && y < m; }
int index(int x, int y) { return x * m + y; }
std::pair<int, int> from_index(int index) { return {index / m, index % m}; }
};
} // namespace asl
#include <tuple>
#include <random>
#include <utility>
#define endl '\n'
using namespace std;
using namespace asl;
void solve() {
int n, m;
cin >> n >> m;
vec<string> b(n);
cin >> b;
Dinic<int> dinic(n * m + 2);
auto brd = VBoard(n, n);
int s = n * m, t = n * m + 1;
for (int i = 0; i < n; ++i)
for (int j = 0; j < m; ++j) {
if (b[i][j] == '#')
continue;
int u = brd.index(i, j);
if ((i + j) & 1) {
dinic.add_edge(s, u, 1);
for (auto [dx, dy] : DIR4) {
int nx = i + dx, ny = j + dy;
if (brd.inside(nx, ny) && b[nx][ny] == '.') {
int v = brd.index(nx, ny);
dinic.add_edge(u, v, 1);
}
}
} else {
dinic.add_edge(u, t, 1);
}
}
auto res = dinic.max_flow(s, t);
cout << res << endl;
for (int i = 0; i < n; ++i)
for (int j = 0; j < m; ++j) {
if ((i + j) & 1) {
int u = brd.index(i, j);
for (auto e : dinic.adj[u]) {
if (e.flow == 1) {
int nx, ny;
tie(nx, ny) = brd.from_index(e.dst);
char A = '>', B = '<';
if (i != nx)
A = 'v', B = '^';
if (make_pair(nx, ny) < make_pair(i, j))
swap(A, B);
b[i][j] = A;
b[nx][ny] = B;
}
}
}
}
for (auto row : b)
cout << row << endl;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int t = 1;
for (int i = 1; i <= t; ++i) {
solve();
}
return 0;
}
| #include <algorithm>
#include <array>
#include <assert.h>
#include <bitset>
#include <chrono>
#include <cmath>
#include <complex>
#include <cstring>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <istream>
#include <map>
#include <math.h>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>
#include <stdint.h>
namespace asl {
template <typename T> using vec = std::vector<T>;
template <typename T>
std::istream &operator>>(std::istream &is, std::vector<T> &vec) {
for (auto &value : vec)
is >> value;
return is;
}
} // namespace asl
#include <experimental/optional>
namespace asl {
template <typename C, typename R = C> class Dinic {
public:
typedef C flow_type;
typedef R result_type;
static_assert(std::is_arithmetic<flow_type>::value,
"flow_type must be arithmetic");
static_assert(std::is_arithmetic<result_type>::value,
"result_type must be arithmetic");
static const flow_type oo = std::numeric_limits<flow_type>::max();
struct edge {
int src;
int dst;
int rev;
flow_type cap, flow;
edge(int src, int dst, int rev, flow_type cap)
: src(src), dst(dst), rev(rev), cap(cap), flow(0) {}
};
Dinic(int n) : adj(n), que(n), level(n), edge_pos(n) {}
int add_edge(int src, int dst, flow_type cap, flow_type rcap = 0) {
adj[src].emplace_back(src, dst, (int)adj[dst].size(), cap);
if (src == dst)
adj[src].back().rev++;
adj[dst].emplace_back(dst, src, (int)adj[src].size() - 1, rcap);
return (int)adj[src].size() - 1 - (src == dst);
}
result_type max_flow(int source, int sink) {
result_type flow = 0;
while (true) {
int front = 0, back = 0;
std::fill(level.begin(), level.end(), -1);
for (level[que[back++] = sink] = 0; front < back && level[source] == -1;
++front) {
int u = que[front];
for (const edge &e : adj[u])
if (level[e.dst] == -1 && rev(e).flow < rev(e).cap)
level[que[back++] = e.dst] = 1 + level[u];
}
if (level[source] == -1)
break;
std::fill(edge_pos.begin(), edge_pos.end(), 0);
std::function<flow_type(int, flow_type)> find_path = [&](int from,
flow_type res) {
if (from == sink)
return res;
for (int &ept = edge_pos[from]; ept < (int)adj[from].size(); ++ept) {
edge &e = adj[from][ept];
if (e.flow == e.cap || level[e.dst] + 1 != level[from])
continue;
flow_type push = find_path(e.dst, std::min(res, e.cap - e.flow));
if (push > 0) {
e.flow += push;
rev(e).flow -= push;
if (e.flow == e.cap)
++ept;
return push;
}
}
return static_cast<flow_type>(0);
};
for (flow_type f; (f = find_path(source, oo)) > 0;)
flow += f;
}
return flow;
}
std::vector<std::vector<edge>> adj;
std::vector<int> que;
std::vector<int> level;
std::vector<int> edge_pos;
inline edge &rev(const edge &e) { return adj[e.dst][e.rev]; }
};
int DIR4[4][2] = {{-1, 0}, {0, +1}, {+1, 0}, {0, -1}};
class VBoard {
public:
int n, m;
VBoard(int n = 0, int m = 0) : n(n), m(m) {}
bool inside(int x, int y) { return 0 <= x && x < n && 0 <= y && y < m; }
int index(int x, int y) { return x * m + y; }
std::pair<int, int> from_index(int index) { return {index / m, index % m}; }
};
} // namespace asl
#include <tuple>
#include <random>
#include <utility>
#define endl '\n'
using namespace std;
using namespace asl;
void solve() {
int n, m;
cin >> n >> m;
vec<string> b(n);
cin >> b;
Dinic<int> dinic(n * m + 2);
auto brd = VBoard(n, m);
int s = n * m, t = n * m + 1;
for (int i = 0; i < n; ++i)
for (int j = 0; j < m; ++j) {
if (b[i][j] == '#')
continue;
int u = brd.index(i, j);
if ((i + j) & 1) {
dinic.add_edge(s, u, 1);
for (auto [dx, dy] : DIR4) {
int nx = i + dx, ny = j + dy;
if (brd.inside(nx, ny) && b[nx][ny] == '.') {
int v = brd.index(nx, ny);
dinic.add_edge(u, v, 1);
}
}
} else {
dinic.add_edge(u, t, 1);
}
}
auto res = dinic.max_flow(s, t);
cout << res << endl;
for (int i = 0; i < n; ++i)
for (int j = 0; j < m; ++j) {
if ((i + j) & 1) {
int u = brd.index(i, j);
for (auto e : dinic.adj[u]) {
if (e.flow == 1) {
int nx, ny;
tie(nx, ny) = brd.from_index(e.dst);
char A = '>', B = '<';
if (i != nx)
A = 'v', B = '^';
if (make_pair(nx, ny) < make_pair(i, j))
swap(A, B);
b[i][j] = A;
b[nx][ny] = B;
}
}
}
}
for (auto row : b)
cout << row << endl;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int t = 1;
for (int i = 1; i <= t; ++i) {
solve();
}
return 0;
}
| replace | 161 | 162 | 161 | 162 | 0 | |
p02561 | C++ | Runtime Error | #include "algorithm"
#include "bitset"
#include "cassert"
#include "climits"
#include "cmath"
#include "cstdio"
#include "ctime"
#include "functional"
#include "iomanip"
#include "iostream"
#include "list"
#include "map"
#include "numeric"
#include "queue"
#include "random"
#include "set"
#include "stack"
#include "string"
#include "unordered_map"
#include "unordered_set"
using namespace std;
// constexpr long long int MOD = 1000000007;
// constexpr int MOD = 1000000007;
// constexpr int MOD = 998244353;
constexpr long long int MOD = 998244353;
constexpr double EPS = 1e-12;
// int N, M, K, T, H, W, L, R;
long long int N, M, K, T, H, W, L, R;
class Edge {
public:
long long int to;
long long int max_flow;
long long int rev;
};
class Dinic {
int V;
bool directed;
public:
vector<vector<Edge>> edge;
vector<int> depth;
vector<int> index;
Dinic(int n, bool D) {
n++;
V = n;
edge.resize(V);
depth.resize(V);
index.resize(V);
directed = D;
return;
}
void Add_Edge(int l, int r, int max_flow) {
edge[l].push_back({r, max_flow, (int)edge[r].size()});
if (directed) {
edge[r].push_back({l, 0, (int)edge[l].size() - 1});
} else {
edge[r].push_back({l, max_flow, (int)edge[l].size() - 1});
}
return;
}
void Check_Depth(int s) {
for (int i = 0; i < V; i++) {
depth[i] = INT_MAX;
}
depth[s] = 0;
queue<int> Q;
Q.push(s);
while (!Q.empty()) {
int cn = Q.front();
Q.pop();
for (auto i : edge[cn]) {
if (i.max_flow > 0 && depth[i.to] == INT_MAX) {
depth[i.to] = depth[cn] + 1;
Q.push(i.to);
}
}
}
return;
}
long long int max_flow(int v, int g, long long int ret) {
if (v == g) {
return ret;
}
for (int i = index[v]; i < edge[v].size(); i++) {
if (edge[v][i].max_flow > 0 && depth[v] < depth[edge[v][i].to]) {
long long int d =
max_flow(edge[v][i].to, g, min(ret, edge[v][i].max_flow));
if (d > 0) {
edge[v][i].max_flow -= d;
edge[edge[v][i].to][edge[v][i].rev].max_flow += d;
return d;
}
}
}
return 0;
}
long long Solve(int s, int g) {
long long int ret = 0;
while (1) {
Check_Depth(s);
if (depth[g] == INT_MAX) {
return ret;
}
for (int i = 0; i < V; i++) {
index[i] = 0;
}
long long int add = 0;
while ((add = max_flow(s, g, INT_MAX)) > 0) {
ret += add;
}
}
return ret;
}
};
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cin >> H >> W;
vector<string> s(H);
for (auto &i : s)
cin >> i;
Dinic d(H * W + 2, true);
int dir[] = {1, 0, -1, 0, 1};
for (int i = 0; i < H; i++) {
for (int j = 0; j < W; j++) {
if (s[i][j] == '#')
continue;
if ((i + j) & 1) {
d.Add_Edge(H * W, i * W + j, 1);
for (int k = 0; k < 4; k++) {
int ny = i + dir[k];
int nx = j + dir[k + 1];
if (ny < 0 || nx < 0 || ny >= H || nx >= W)
continue;
d.Add_Edge(i * W + j, ny * W + nx, 1);
}
} else {
d.Add_Edge(i * W + j, H * W + 1, 1);
}
}
}
cout << d.Solve(H * W, H * W + 1) << endl;
for (int i = 0; i < H; i++) {
for (int j = 0; j < W; j++) {
if ((i + j) & 1) {
int num = i * W + j;
for (auto k : d.edge[num]) {
if (k.max_flow == 0) {
if (num + W == k.to) {
s[i][j] = 'v';
s[i + 1][j] = '^';
} else if (num + 1 == k.to) {
s[i][j] = '>';
s[i][j + 1] = '<';
} else if (num - W == k.to) {
s[i][j] = '^';
s[i - 1][j] = 'v';
} else {
s[i][j] = '<';
s[i][j - 1] = '>';
}
}
}
}
}
}
for (auto i : s)
cout << i << endl;
} | #include "algorithm"
#include "bitset"
#include "cassert"
#include "climits"
#include "cmath"
#include "cstdio"
#include "ctime"
#include "functional"
#include "iomanip"
#include "iostream"
#include "list"
#include "map"
#include "numeric"
#include "queue"
#include "random"
#include "set"
#include "stack"
#include "string"
#include "unordered_map"
#include "unordered_set"
using namespace std;
// constexpr long long int MOD = 1000000007;
// constexpr int MOD = 1000000007;
// constexpr int MOD = 998244353;
constexpr long long int MOD = 998244353;
constexpr double EPS = 1e-12;
// int N, M, K, T, H, W, L, R;
long long int N, M, K, T, H, W, L, R;
class Edge {
public:
long long int to;
long long int max_flow;
long long int rev;
};
class Dinic {
int V;
bool directed;
public:
vector<vector<Edge>> edge;
vector<int> depth;
vector<int> index;
Dinic(int n, bool D) {
n++;
V = n;
edge.resize(V);
depth.resize(V);
index.resize(V);
directed = D;
return;
}
void Add_Edge(int l, int r, int max_flow) {
edge[l].push_back({r, max_flow, (int)edge[r].size()});
if (directed) {
edge[r].push_back({l, 0, (int)edge[l].size() - 1});
} else {
edge[r].push_back({l, max_flow, (int)edge[l].size() - 1});
}
return;
}
void Check_Depth(int s) {
for (int i = 0; i < V; i++) {
depth[i] = INT_MAX;
}
depth[s] = 0;
queue<int> Q;
Q.push(s);
while (!Q.empty()) {
int cn = Q.front();
Q.pop();
for (auto i : edge[cn]) {
if (i.max_flow > 0 && depth[i.to] == INT_MAX) {
depth[i.to] = depth[cn] + 1;
Q.push(i.to);
}
}
}
return;
}
long long int max_flow(int v, int g, long long int ret) {
if (v == g) {
return ret;
}
for (int i = index[v]; i < edge[v].size(); i++) {
if (edge[v][i].max_flow > 0 && depth[v] < depth[edge[v][i].to]) {
long long int d =
max_flow(edge[v][i].to, g, min(ret, edge[v][i].max_flow));
if (d > 0) {
edge[v][i].max_flow -= d;
edge[edge[v][i].to][edge[v][i].rev].max_flow += d;
return d;
}
}
}
return 0;
}
long long Solve(int s, int g) {
long long int ret = 0;
while (1) {
Check_Depth(s);
if (depth[g] == INT_MAX) {
return ret;
}
for (int i = 0; i < V; i++) {
index[i] = 0;
}
long long int add = 0;
while ((add = max_flow(s, g, INT_MAX)) > 0) {
ret += add;
}
}
return ret;
}
};
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cin >> H >> W;
vector<string> s(H);
for (auto &i : s)
cin >> i;
Dinic d(H * W + 2, true);
int dir[] = {1, 0, -1, 0, 1};
for (int i = 0; i < H; i++) {
for (int j = 0; j < W; j++) {
if (s[i][j] == '#')
continue;
if ((i + j) & 1) {
d.Add_Edge(H * W, i * W + j, 1);
for (int k = 0; k < 4; k++) {
int ny = i + dir[k];
int nx = j + dir[k + 1];
if (ny < 0 || nx < 0 || ny >= H || nx >= W)
continue;
d.Add_Edge(i * W + j, ny * W + nx, 1);
}
} else {
d.Add_Edge(i * W + j, H * W + 1, 1);
}
}
}
cout << d.Solve(H * W, H * W + 1) << endl;
for (int i = 0; i < H; i++) {
for (int j = 0; j < W; j++) {
if ((i + j) & 1) {
int num = i * W + j;
for (auto k : d.edge[num]) {
if (k.max_flow == 0) {
if (k.to == H * W)
continue;
if (num + W == k.to) {
s[i][j] = 'v';
s[i + 1][j] = '^';
} else if (num + 1 == k.to) {
s[i][j] = '>';
s[i][j + 1] = '<';
} else if (num - W == k.to) {
s[i][j] = '^';
s[i - 1][j] = 'v';
} else {
s[i][j] = '<';
s[i][j - 1] = '>';
}
}
}
}
}
}
for (auto i : s)
cout << i << endl;
} | insert | 155 | 155 | 155 | 157 | 0 | |
p02562 | C++ | Runtime Error | #pragma GCC target("avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
// #include<ext/pb_ds/assoc_container.hpp>
// #include<ext/pb_ds/tree_policy.hpp>
// #include<ext/pb_ds/tag_and_trait.hpp>
// using namespace __gnu_pbds;
// #include<boost/multiprecision/cpp_int.hpp>
// namespace multiprecisioninteger = boost::multiprecision;
// using cint=multiprecisioninteger::cpp_int;
using namespace std;
using ll = long long;
#define double long double
using datas = pair<ll, ll>;
using ddatas = pair<double, double>;
using tdata = pair<ll, datas>;
using vec = vector<ll>;
using mat = vector<vec>;
using pvec = vector<datas>;
using pmat = vector<pvec>;
// using
// llset=tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>;
#define For(i, a, b) for (i = a; i < (ll)b; ++i)
#define bFor(i, b, a) for (i = b, --i; i >= (ll)a; --i)
#define rep(i, N) For(i, 0, N)
#define rep1(i, N) For(i, 1, N)
#define brep(i, N) bFor(i, N, 0)
#define brep1(i, N) bFor(i, N, 1)
#define all(v) (v).begin(), (v).end()
#define allr(v) (v).rbegin(), (v).rend()
#define vsort(v) sort(all(v))
#define vrsort(v) sort(allr(v))
#define endl "\n"
#define eb emplace_back
#define print(v) cout << v << endl
#define printyes cout << "Yes" << endl
#define printno cout << "No" << endl
#define printYES cout << "YES" << endl
#define printNO cout << "NO" << endl
#define output(v) \
do { \
bool f = 0; \
for (auto outi : v) { \
cout << (f ? " " : "") << outi; \
f = 1; \
} \
cout << endl; \
} while (0)
#define matoutput(v) \
do { \
for (auto outimat : v) \
output(outimat); \
} while (0)
const ll mod = 1000000007;
// const ll mod=998244353;
const ll inf = 1LL << 60;
const double PI = acos(-1);
const double eps = 1e-9;
template <class T> inline bool chmax(T &a, T b) {
bool x = a < b;
if (x)
a = b;
return x;
}
template <class T> inline bool chmin(T &a, T b) {
bool x = a > b;
if (x)
a = b;
return x;
}
void startupcpp() {
cin.tie(0);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
}
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
int from_id = int(g[from].size());
int to_id = int(g[to].size()) + int(from == to);
g[from].push_back(_edge{to, to_id, cap, cost});
g[to].push_back(_edge{from, from_id, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
assert(0 <= i && i < int(pos.size()));
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
vector<edge> edges() {
int m = int(pos.size());
vector<edge> result(m);
for (int i = 0; i < m; ++i) {
result[i] = get_edge(i);
}
return result;
}
pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, numeric_limits<Cap>::max());
}
pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
vector<pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, numeric_limits<Cap>::max());
}
vector<pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants(C=maxcost):
//-(n-1)C<=dual[s]<=dual[i]<=dual[t]=0
// reduced cost(=e.cost+dual[e.from]-dual[e.to])>=0 for all edge
vector<Cost> dual(_n, 0), dist(_n);
vector<int> pv(_n), pe(_n);
vector<bool> vis(_n);
auto dual_ref = [&]() {
fill(dist.begin(), dist.end(), numeric_limits<Cost>::max());
fill(pv.begin(), pv.end(), -1);
fill(pe.begin(), pe.end(), -1);
fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v]=shortest(s,v)+dual[s]-dual[v]
// dist[v]>=0(all reduced cost are positive)
// dist[v]<=(n-1)C
for (int i = 0; i < int(g[v].size()); ++i) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to]+dual[v]|<=(n-1)C
// cost<=C--(n-1)C+0=nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t])
return false;
for (int v = 0; v < _n; ++v) {
if (!vis[v])
continue;
// dual[v]=dual[v]-dist[t]+dist[v]
// =dual[v]-(shortest(s,t)+dual[s]-dual[t])+(shortest(s,v)+dual[s]-dual[v])
// =-shortest(s,t)+dual[t]+shortest(s,v)
// =shortest(s,v)-shortest(s,t)>=0-(n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost_per_flow = -1;
vector<pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost_per_flow == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost_per_flow = d;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
vector<pair<int, int>> pos;
vector<vector<_edge>> g;
};
int main() {
startupcpp();
int i, j, N, K;
cin >> N >> K;
mat g(N, vec(N));
vector<string> ans(N);
vec pot(N + 1, 0);
rep(i, N) rep(j, N) {
cin >> g[i][j];
chmax(pot[j], g[i][j]);
ans[i] += '.';
}
rep(i, N) chmax(pot[N + 1], pot[i]);
mcf_graph<int, ll> flow(N * 2 + 2);
rep(i, N) {
rep(j, N) { flow.add_edge(i, j + N, 1, pot[j] - g[i][j]); }
flow.add_edge(N << 1, i, K, 0);
flow.add_edge(i + N, N << 1 | 1, K, pot[N + 1] - pot[i]);
}
auto v = flow.slope(N << 1, N << 1 | 1);
int M = v.size();
rep1(i, M) {
if ((v[i].first - v[i - 1].first) * pot[N + 1] <
(v[i].second - v[i - 1].second))
break;
}
int flowlim = v[--i].first;
print(pot[N + 1] * flowlim - v[i].second);
mcf_graph<int, ll> flows(N * 2 + 2);
rep(i, N) {
rep(j, N) { flows.add_edge(i, j + N, 1, pot[j] - g[i][j]); }
flows.add_edge(N << 1, i, K, 0);
flows.add_edge(i + N, N << 1 | 1, K, pot[N + 1] - pot[i]);
}
flows.slope(N << 1, N << 1 | 1, flowlim);
auto x = flows.edges();
for (auto edge : x) {
if (!edge.flow || max(edge.from, edge.to) >= N * 2)
continue;
ans[edge.from][edge.to - N] = 'X';
}
for (auto p : ans)
print(p);
} | #pragma GCC target("avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
// #include<ext/pb_ds/assoc_container.hpp>
// #include<ext/pb_ds/tree_policy.hpp>
// #include<ext/pb_ds/tag_and_trait.hpp>
// using namespace __gnu_pbds;
// #include<boost/multiprecision/cpp_int.hpp>
// namespace multiprecisioninteger = boost::multiprecision;
// using cint=multiprecisioninteger::cpp_int;
using namespace std;
using ll = long long;
#define double long double
using datas = pair<ll, ll>;
using ddatas = pair<double, double>;
using tdata = pair<ll, datas>;
using vec = vector<ll>;
using mat = vector<vec>;
using pvec = vector<datas>;
using pmat = vector<pvec>;
// using
// llset=tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>;
#define For(i, a, b) for (i = a; i < (ll)b; ++i)
#define bFor(i, b, a) for (i = b, --i; i >= (ll)a; --i)
#define rep(i, N) For(i, 0, N)
#define rep1(i, N) For(i, 1, N)
#define brep(i, N) bFor(i, N, 0)
#define brep1(i, N) bFor(i, N, 1)
#define all(v) (v).begin(), (v).end()
#define allr(v) (v).rbegin(), (v).rend()
#define vsort(v) sort(all(v))
#define vrsort(v) sort(allr(v))
#define endl "\n"
#define eb emplace_back
#define print(v) cout << v << endl
#define printyes cout << "Yes" << endl
#define printno cout << "No" << endl
#define printYES cout << "YES" << endl
#define printNO cout << "NO" << endl
#define output(v) \
do { \
bool f = 0; \
for (auto outi : v) { \
cout << (f ? " " : "") << outi; \
f = 1; \
} \
cout << endl; \
} while (0)
#define matoutput(v) \
do { \
for (auto outimat : v) \
output(outimat); \
} while (0)
const ll mod = 1000000007;
// const ll mod=998244353;
const ll inf = 1LL << 60;
const double PI = acos(-1);
const double eps = 1e-9;
template <class T> inline bool chmax(T &a, T b) {
bool x = a < b;
if (x)
a = b;
return x;
}
template <class T> inline bool chmin(T &a, T b) {
bool x = a > b;
if (x)
a = b;
return x;
}
void startupcpp() {
cin.tie(0);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
}
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
int from_id = int(g[from].size());
int to_id = int(g[to].size()) + int(from == to);
g[from].push_back(_edge{to, to_id, cap, cost});
g[to].push_back(_edge{from, from_id, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
assert(0 <= i && i < int(pos.size()));
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
vector<edge> edges() {
int m = int(pos.size());
vector<edge> result(m);
for (int i = 0; i < m; ++i) {
result[i] = get_edge(i);
}
return result;
}
pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, numeric_limits<Cap>::max());
}
pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
vector<pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, numeric_limits<Cap>::max());
}
vector<pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants(C=maxcost):
//-(n-1)C<=dual[s]<=dual[i]<=dual[t]=0
// reduced cost(=e.cost+dual[e.from]-dual[e.to])>=0 for all edge
vector<Cost> dual(_n, 0), dist(_n);
vector<int> pv(_n), pe(_n);
vector<bool> vis(_n);
auto dual_ref = [&]() {
fill(dist.begin(), dist.end(), numeric_limits<Cost>::max());
fill(pv.begin(), pv.end(), -1);
fill(pe.begin(), pe.end(), -1);
fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v]=shortest(s,v)+dual[s]-dual[v]
// dist[v]>=0(all reduced cost are positive)
// dist[v]<=(n-1)C
for (int i = 0; i < int(g[v].size()); ++i) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to]+dual[v]|<=(n-1)C
// cost<=C--(n-1)C+0=nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t])
return false;
for (int v = 0; v < _n; ++v) {
if (!vis[v])
continue;
// dual[v]=dual[v]-dist[t]+dist[v]
// =dual[v]-(shortest(s,t)+dual[s]-dual[t])+(shortest(s,v)+dual[s]-dual[v])
// =-shortest(s,t)+dual[t]+shortest(s,v)
// =shortest(s,v)-shortest(s,t)>=0-(n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost_per_flow = -1;
vector<pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost_per_flow == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost_per_flow = d;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
vector<pair<int, int>> pos;
vector<vector<_edge>> g;
};
int main() {
startupcpp();
int i, j, N, K;
cin >> N >> K;
mat g(N, vec(N));
vector<string> ans(N);
vec pot(N + 2, 0);
rep(i, N) rep(j, N) {
cin >> g[i][j];
chmax(pot[j], g[i][j]);
ans[i] += '.';
}
rep(i, N) chmax(pot[N + 1], pot[i]);
mcf_graph<int, ll> flow(N * 2 + 2);
rep(i, N) {
rep(j, N) { flow.add_edge(i, j + N, 1, pot[j] - g[i][j]); }
flow.add_edge(N << 1, i, K, 0);
flow.add_edge(i + N, N << 1 | 1, K, pot[N + 1] - pot[i]);
}
auto v = flow.slope(N << 1, N << 1 | 1);
int M = v.size();
rep1(i, M) {
if ((v[i].first - v[i - 1].first) * pot[N + 1] <
(v[i].second - v[i - 1].second))
break;
}
int flowlim = v[--i].first;
print(pot[N + 1] * flowlim - v[i].second);
mcf_graph<int, ll> flows(N * 2 + 2);
rep(i, N) {
rep(j, N) { flows.add_edge(i, j + N, 1, pot[j] - g[i][j]); }
flows.add_edge(N << 1, i, K, 0);
flows.add_edge(i + N, N << 1 | 1, K, pot[N + 1] - pot[i]);
}
flows.slope(N << 1, N << 1 | 1, flowlim);
auto x = flows.edges();
for (auto edge : x) {
if (!edge.flow || max(edge.from, edge.to) >= N * 2)
continue;
ans[edge.from][edge.to - N] = 'X';
}
for (auto p : ans)
print(p);
} | replace | 235 | 236 | 235 | 236 | 0 | |
p02564 | C++ | Runtime Error | #include <bits/stdc++.h>
// ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
// clock_t start=clock();clock_t
// end=clock();cout<<(double)(end-start)/CLOCKS_PER_SEC<<endl;
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef unsigned int ui;
typedef pair<int, int> pii;
typedef pair<pii, int> ppii;
typedef pair<int, pii> pipi;
typedef pair<ll, ll> pll;
typedef pair<pll, ll> ppll;
typedef pair<ll, pll> plpl;
typedef pair<pii, pii> pippi;
typedef tuple<ll, ll, ll> tl;
typedef pair<double, double> pdd;
typedef vector<vector<ll>> mat;
ll mod = 1000000007;
ll mod2 = 998244353;
ll mod3 = 1000003;
ll mod4 = 998244853;
ll mod5 = 1000000009;
ll inf = 1LL << 61;
int iinf = 1 << 30;
double pi = 3.14159265358979323846;
double pi2 = pi / 2.0;
double eps = 1e-8;
#define rep(i, m, n) for (int i = m; i < n; i++)
#define rrep(i, n, m) for (int i = n; i >= m; i--)
#define srep(itr, st) for (auto itr = st.begin(); itr != st.end(); itr++)
#define mrep(itr, mp) for (auto &itr : mp)
#define Max(a, b) a = max(a, b)
#define Min(a, b) a = min(a, b)
// #define endl "\n"
int dh[4] = {1, 0, -1, 0};
int dw[4] = {0, 1, 0, -1};
int ddh[8] = {-1, -1, -1, 0, 0, 1, 1, 1};
int ddw[8] = {-1, 0, 1, -1, 1, -1, 0, 1};
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM =
chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
#define umh unordered_map<int, int, custom_hash>
ll gcd(ll a, ll b) {
if (a < 0)
a = -a;
if (b < 0)
b = -b;
if (a < b)
swap(a, b);
if (b == 0)
return a;
if (a % b == 0)
return b;
return gcd(b, a % b);
}
ll lcm(ll a, ll b) {
ll c = gcd(a, b);
return a * b / c;
}
ll Pow(ll n, ll k) {
if (k < 0)
return 0;
ll ret = 1;
ll now = n;
while (k > 0) {
if (k & 1)
ret *= now;
now *= now;
k /= 2;
}
return ret;
}
ll beki(ll n, ll k, ll md) {
ll ret = 1;
ll now = n;
now %= md;
while (k > 0) {
if (k % 2 == 1) {
ret *= now;
ret %= md;
}
now *= now;
now %= md;
k /= 2;
}
return ret;
}
ll gyaku(ll n, ll md) { return beki(n, md - 2, md); }
ll popcount(ll n) {
ll ret = 0;
ll u = n;
while (u > 0) {
ret += u % 2;
u /= 2;
}
return ret;
}
#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_BITOP_HPP
#ifndef ATCODER_INTERNAL_MATH_HPP
#define ATCODER_INTERNAL_MATH_HPP 1
#include <utility>
namespace atcoder {
namespace internal {
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) <
// 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v)
v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1)
return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1)
r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1)
return false;
if (n == 2 || n == 7 || n == 61)
return true;
if (n % 2 == 0)
return false;
long long d = n - 1;
while (d % 2 == 0)
d /= 2;
for (long long a : {2, 7, 61}) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0)
return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0)
m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2)
return 1;
if (m == 167772161)
return 3;
if (m == 469762049)
return 3;
if (m == 754974721)
return 11;
if (m == 998244353)
return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0)
x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok)
return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_MATH_HPP
#ifndef ATCODER_INTERNAL_QUEUE_HPP
#define ATCODER_INTERNAL_QUEUE_HPP 1
#include <vector>
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_QUEUE_HPP
#ifndef ATCODER_INTERNAL_SCC_HPP
#define ATCODER_INTERNAL_SCC_HPP 1
#include <algorithm>
#include <utility>
#include <vector>
namespace atcoder {
namespace internal {
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(int n, const std::vector<std::pair<int, E>> &edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
auto g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v)
break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1)
dfs(dfs, i);
}
for (auto &x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second)
counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
private:
int _n;
struct edge {
int to;
};
std::vector<std::pair<int, edge>> edges;
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_SCC_HPP
#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value, make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned =
typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_TYPE_TRAITS_HPP
#ifndef ATCODER_MODINT_HPP
#define ATCODER_MODINT_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0)
x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v -= rhs._v;
if (_v >= umod())
_v += umod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0)
x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += mod() - rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator*=(const mint &rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_MODINT_HPP
#ifndef ATCODER_CONVOLUTION_HPP
#define ATCODER_CONVOLUTION_HPP 1
#include <algorithm>
#include <array>
#include <cassert>
#include <type_traits>
#include <vector>
namespace atcoder {
namespace internal {
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_e[30]; // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now;
now *= ies[i];
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now;
a[i + offset] = l + r;
a[i + offset + p] = l - r;
}
now *= sum_e[bsf(~(unsigned int)(s))];
}
}
}
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly_inv(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_ie[30]; // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now;
now *= es[i];
}
}
for (int ph = h; ph >= 1; ph--) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = l + r;
a[i + offset + p] =
(unsigned long long)(mint::mod() + l.val() - r.val()) * inow.val();
}
inow *= sum_ie[bsf(~(unsigned int)(s))];
}
}
}
} // namespace internal
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
std::vector<mint> convolution(std::vector<mint> a, std::vector<mint> b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
if (std::min(n, m) <= 60) {
if (n < m) {
std::swap(n, m);
std::swap(a, b);
}
std::vector<mint> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
}
}
return ans;
}
int z = 1 << internal::ceil_pow2(n + m - 1);
a.resize(z);
internal::butterfly(a);
b.resize(z);
internal::butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
}
internal::butterfly_inv(a);
a.resize(n + m - 1);
mint iz = mint(z).inv();
for (int i = 0; i < n + m - 1; i++)
a[i] *= iz;
return a;
}
template <unsigned int mod = 998244353, class T,
std::enable_if_t<internal::is_integral<T>::value> * = nullptr>
std::vector<T> convolution(const std::vector<T> &a, const std::vector<T> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
using mint = static_modint<mod>;
std::vector<mint> a2(n), b2(m);
for (int i = 0; i < n; i++) {
a2[i] = mint(a[i]);
}
for (int i = 0; i < m; i++) {
b2[i] = mint(b[i]);
}
auto c2 = convolution(move(a2), move(b2));
std::vector<T> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
c[i] = c2[i].val();
}
return c;
}
std::vector<long long> convolution_ll(const std::vector<long long> &a,
const std::vector<long long> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
static constexpr unsigned long long MOD1 = 754974721; // 2^24
static constexpr unsigned long long MOD2 = 167772161; // 2^25
static constexpr unsigned long long MOD3 = 469762049; // 2^26
static constexpr unsigned long long M2M3 = MOD2 * MOD3;
static constexpr unsigned long long M1M3 = MOD1 * MOD3;
static constexpr unsigned long long M1M2 = MOD1 * MOD2;
static constexpr unsigned long long M1M2M3 = MOD1 * MOD2 * MOD3;
static constexpr unsigned long long i1 =
internal::inv_gcd(MOD2 * MOD3, MOD1).second;
static constexpr unsigned long long i2 =
internal::inv_gcd(MOD1 * MOD3, MOD2).second;
static constexpr unsigned long long i3 =
internal::inv_gcd(MOD1 * MOD2, MOD3).second;
auto c1 = convolution<MOD1>(a, b);
auto c2 = convolution<MOD2>(a, b);
auto c3 = convolution<MOD3>(a, b);
std::vector<long long> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
unsigned long long x = 0;
x += (c1[i] * i1) % MOD1 * M2M3;
x += (c2[i] * i2) % MOD2 * M1M3;
x += (c3[i] * i3) % MOD3 * M1M2;
// B = 2^63, -B <= x, r(real value) < B
// (x, x - M, x - 2M, or x - 3M) = r (mod 2B)
// r = c1[i] (mod MOD1)
// focus on MOD1
// r = x, x - M', x - 2M', x - 3M' (M' = M % 2^64) (mod 2B)
// r = x,
// x - M' + (0 or 2B),
// x - 2M' + (0, 2B or 4B),
// x - 3M' + (0, 2B, 4B or 6B) (without mod!)
// (r - x) = 0, (0)
// - M' + (0 or 2B), (1)
// -2M' + (0 or 2B or 4B), (2)
// -3M' + (0 or 2B or 4B or 6B) (3) (mod MOD1)
// we checked that
// ((1) mod MOD1) mod 5 = 2
// ((2) mod MOD1) mod 5 = 3
// ((3) mod MOD1) mod 5 = 4
long long diff =
c1[i] - internal::safe_mod((long long)(x), (long long)(MOD1));
if (diff < 0)
diff += MOD1;
static constexpr unsigned long long offset[5] = {0, 0, M1M2M3, 2 * M1M2M3,
3 * M1M2M3};
x -= offset[diff % 5];
c[i] = x;
}
return c;
}
} // namespace atcoder
#endif // ATCODER_CONVOLUTION_HPP
#ifndef ATCODER_DSU_HPP
#define ATCODER_DSU_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
// Implement (union by size) + (path compression)
// Reference:
// Zvi Galil and Giuseppe F. Italiano,
// Data structures and algorithms for disjoint set union problems
struct dsu {
public:
dsu() : _n(0) {}
dsu(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y)
return x;
if (-parent_or_size[x] < -parent_or_size[y])
std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0)
return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
} // namespace atcoder
#endif // ATCODER_DSU_HPP
#ifndef ATCODER_FENWICKTREE_HPP
#define ATCODER_FENWICKTREE_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
} // namespace atcoder
#endif // ATCODER_FENWICKTREE_HPP
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push(r >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP
#ifndef ATCODER_MATH_HPP
#define ATCODER_MATH_HPP 1
#include <algorithm>
#include <cassert>
#include <tuple>
#include <vector>
namespace atcoder {
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1)
return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1)
r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long> &r,
const std::vector<long long> &m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g % (u1*g) = (r1 - r0) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g)
return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0)
r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
long long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
} // namespace atcoder
#endif // ATCODER_MATH_HPP
#ifndef ATCODER_MAXFLOW_HPP
#define ATCODER_MAXFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MAXFLOW_HPP
#ifndef ATCODER_MINCOSTFLOW_HPP
#define ATCODER_MINCOSTFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap, cost});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result(m);
for (int i = 0; i < m; i++) {
result[i] = get_edge(i);
}
return result;
}
std::pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, std::numeric_limits<Cap>::max());
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants (C = maxcost):
// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
std::vector<Cost> dual(_n, 0), dist(_n);
std::vector<int> pv(_n), pe(_n);
std::vector<bool> vis(_n);
auto dual_ref = [&]() {
std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
std::fill(pv.begin(), pv.end(), -1);
std::fill(pe.begin(), pe.end(), -1);
std::fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
std::priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v] = shortest(s, v) + dual[s] - dual[v]
// dist[v] >= 0 (all reduced cost are positive)
// dist[v] <= (n-1)C
for (int i = 0; i < int(g[v].size()); i++) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to] + dual[v]| <= (n-1)C
// cost <= C - -(n-1)C + 0 = nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t]) {
return false;
}
for (int v = 0; v < _n; v++) {
if (!vis[v])
continue;
// dual[v] = dual[v] - dist[t] + dist[v]
// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) +
// (shortest(s, v) + dual[s] - dual[v]) = - shortest(s, t) +
// dual[t] + shortest(s, v) = shortest(s, v) - shortest(s, t) >=
// 0 - (n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost = -1;
std::vector<std::pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = std::min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost = cost;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MINCOSTFLOW_HPP
#ifndef ATCODER_SCC_HPP
#define ATCODER_SCC_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
private:
internal::scc_graph internal;
};
} // namespace atcoder
#endif // ATCODER_SCC_HPP
#ifndef ATCODER_SEGTREE_HPP
#define ATCODER_SEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#endif // ATCODER_SEGTREE_HPP
#ifndef ATCODER_STRING_HPP
#define ATCODER_STRING_HPP 1
#include <algorithm>
#include <cassert>
#include <numeric>
#include <string>
#include <vector>
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int> &s, int upper) {
int n = int(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int> &lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n)
continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1)
sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
} // namespace internal
std::vector<int> suffix_array(const std::vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T> &s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T> &s,
const std::vector<int> &sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h])
break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string &s, const std::vector<int> &sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T> &s) {
int n = int(s.size());
if (n == 0)
return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int &k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k])
k++;
if (j + z[j] < i + z[i])
j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
} // namespace atcoder
#endif // ATCODER_STRING_HPP
#ifndef ATCODER_TWOSAT_HPP
#define ATCODER_TWOSAT_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference:
// B. Aspvall, M. Plass, and R. Tarjan,
// A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean
// Formulas
struct two_sat {
public:
two_sat() : _n(0), scc(0) {}
two_sat(int n) : _n(n), _answer(n), scc(2 * n) {}
void add_clause(int i, bool f, int j, bool g) {
assert(0 <= i && i < _n);
assert(0 <= j && j < _n);
scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0));
scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0));
}
bool satisfiable() {
auto id = scc.scc_ids().second;
for (int i = 0; i < _n; i++) {
if (id[2 * i] == id[2 * i + 1])
return false;
_answer[i] = id[2 * i] < id[2 * i + 1];
}
return true;
}
std::vector<bool> answer() { return _answer; }
private:
int _n;
std::vector<bool> _answer;
internal::scc_graph scc;
};
} // namespace atcoder
#endif // ATCODER_TWOSAT_HPP
// dsu d(n) d.merge d.same d.leader d.size vector<vector<int>> d.groups()
// fenwick_tree<ll> fw(n) fw.add(p,x) fw.sum(l,r)
// pll crt(vector<ll> r,vector<ll> m) x≡y (modz) {y,z}
// floor_sum(n,m,a,b) Σi=0:i=n-1 floor((a*i+b)/m) O(log)
// mf_graph<int/ll> graph(n) int graph.add_edge(from,to,cap) (the number of
// edge) graph.flow(s,t)
// graph.flow(s,t,flow_limit) if(allcap==1) O(min(n^(2/3)m,m^(3/2)) else O(mnn)
// graph.change_cap(i,new_cap,new_flow) (can change)
// mf_graph<cap>::edge graph.get_edge(i) from,to,cap,flow
// vector<mf_graph<cap>::edge> graph.edges()
// mcf_graph<cap,cost> graph(n) int graph.add_edge(from,to,cap,cost) (the number
// of edge) pair<cap,cost> graph.flow(s,t,(flow_limit)) vector<pair<cap,cost>>
// graph.slope(s,t) ?? O(FV^2)or O(FElogV)
// using mint=static_modint<mod>;
// my SCC
// vector<ll> convolution<prime>(vector<ll> a,vector<ll> b)
// vector<ll> convolution_ll(vector<ll> a,vector<ll> b) no mod
struct SCC {
public:
static const int MV = 5010;
vector<vector<int>> sc;
// scが連結成分に含まれる頂点の番号、vが連結成分を一つの頂点と見たときのグラフ
int cmp[MV];
private:
bool used[MV];
vector<int> g[MV], rg[MV], vs;
int V;
public:
SCC(int n) {
V = n;
rep(i, 0, n) {
g[i].clear();
rg[i].clear();
}
}
void add(int from, int to) {
g[from].push_back(to);
rg[to].push_back(from);
}
void dfs(int now) {
used[now] = true;
rep(i, 0, g[now].size()) {
int ne = g[now][i];
if (!used[ne])
dfs(ne);
}
vs.push_back(now);
}
void rdfs(int now, int k) {
used[now] = true;
cmp[now] = k;
sc[k].push_back(now);
rep(i, 0, rg[now].size()) {
int ne = rg[now][i];
if (!used[ne])
rdfs(ne, k);
}
}
void scc() {
fill(used, used + V, false);
vs.clear();
sc.clear();
sc.resize(MV);
rep(i, 0, V) {
if (!used[i])
dfs(i);
}
fill(used, used + V, false);
int k = 0;
rrep(i, vs.size() - 1, 0) {
int ne = vs[i];
if (!used[ne]) {
rdfs(ne, k);
k++;
}
}
sc.resize(k);
}
};
// MVの指定!
using namespace atcoder;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n, m;
cin >> n >> m;
SCC sc(n);
rep(i, 0, m) {
int a, b;
cin >> a >> b;
sc.add(a, b);
}
sc.scc();
vector<vector<int>> v = sc.sc;
cout << v.size() << endl;
rep(i, 0, v.size()) {
cout << v[i].size() << " ";
rep(j, 0, v[i].size()) cout << v[i][j] << " ";
cout << endl;
}
}
| #include <bits/stdc++.h>
// ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
// clock_t start=clock();clock_t
// end=clock();cout<<(double)(end-start)/CLOCKS_PER_SEC<<endl;
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef unsigned int ui;
typedef pair<int, int> pii;
typedef pair<pii, int> ppii;
typedef pair<int, pii> pipi;
typedef pair<ll, ll> pll;
typedef pair<pll, ll> ppll;
typedef pair<ll, pll> plpl;
typedef pair<pii, pii> pippi;
typedef tuple<ll, ll, ll> tl;
typedef pair<double, double> pdd;
typedef vector<vector<ll>> mat;
ll mod = 1000000007;
ll mod2 = 998244353;
ll mod3 = 1000003;
ll mod4 = 998244853;
ll mod5 = 1000000009;
ll inf = 1LL << 61;
int iinf = 1 << 30;
double pi = 3.14159265358979323846;
double pi2 = pi / 2.0;
double eps = 1e-8;
#define rep(i, m, n) for (int i = m; i < n; i++)
#define rrep(i, n, m) for (int i = n; i >= m; i--)
#define srep(itr, st) for (auto itr = st.begin(); itr != st.end(); itr++)
#define mrep(itr, mp) for (auto &itr : mp)
#define Max(a, b) a = max(a, b)
#define Min(a, b) a = min(a, b)
// #define endl "\n"
int dh[4] = {1, 0, -1, 0};
int dw[4] = {0, 1, 0, -1};
int ddh[8] = {-1, -1, -1, 0, 0, 1, 1, 1};
int ddw[8] = {-1, 0, 1, -1, 1, -1, 0, 1};
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM =
chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
#define umh unordered_map<int, int, custom_hash>
ll gcd(ll a, ll b) {
if (a < 0)
a = -a;
if (b < 0)
b = -b;
if (a < b)
swap(a, b);
if (b == 0)
return a;
if (a % b == 0)
return b;
return gcd(b, a % b);
}
ll lcm(ll a, ll b) {
ll c = gcd(a, b);
return a * b / c;
}
ll Pow(ll n, ll k) {
if (k < 0)
return 0;
ll ret = 1;
ll now = n;
while (k > 0) {
if (k & 1)
ret *= now;
now *= now;
k /= 2;
}
return ret;
}
ll beki(ll n, ll k, ll md) {
ll ret = 1;
ll now = n;
now %= md;
while (k > 0) {
if (k % 2 == 1) {
ret *= now;
ret %= md;
}
now *= now;
now %= md;
k /= 2;
}
return ret;
}
ll gyaku(ll n, ll md) { return beki(n, md - 2, md); }
ll popcount(ll n) {
ll ret = 0;
ll u = n;
while (u > 0) {
ret += u % 2;
u /= 2;
}
return ret;
}
#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_BITOP_HPP
#ifndef ATCODER_INTERNAL_MATH_HPP
#define ATCODER_INTERNAL_MATH_HPP 1
#include <utility>
namespace atcoder {
namespace internal {
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) <
// 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v)
v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1)
return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1)
r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1)
return false;
if (n == 2 || n == 7 || n == 61)
return true;
if (n % 2 == 0)
return false;
long long d = n - 1;
while (d % 2 == 0)
d /= 2;
for (long long a : {2, 7, 61}) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0)
return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0)
m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2)
return 1;
if (m == 167772161)
return 3;
if (m == 469762049)
return 3;
if (m == 754974721)
return 11;
if (m == 998244353)
return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0)
x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok)
return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_MATH_HPP
#ifndef ATCODER_INTERNAL_QUEUE_HPP
#define ATCODER_INTERNAL_QUEUE_HPP 1
#include <vector>
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_QUEUE_HPP
#ifndef ATCODER_INTERNAL_SCC_HPP
#define ATCODER_INTERNAL_SCC_HPP 1
#include <algorithm>
#include <utility>
#include <vector>
namespace atcoder {
namespace internal {
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(int n, const std::vector<std::pair<int, E>> &edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
auto g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v)
break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1)
dfs(dfs, i);
}
for (auto &x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second)
counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
private:
int _n;
struct edge {
int to;
};
std::vector<std::pair<int, edge>> edges;
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_SCC_HPP
#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value, make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned =
typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_TYPE_TRAITS_HPP
#ifndef ATCODER_MODINT_HPP
#define ATCODER_MODINT_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0)
x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v -= rhs._v;
if (_v >= umod())
_v += umod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0)
x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += mod() - rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator*=(const mint &rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_MODINT_HPP
#ifndef ATCODER_CONVOLUTION_HPP
#define ATCODER_CONVOLUTION_HPP 1
#include <algorithm>
#include <array>
#include <cassert>
#include <type_traits>
#include <vector>
namespace atcoder {
namespace internal {
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_e[30]; // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now;
now *= ies[i];
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now;
a[i + offset] = l + r;
a[i + offset + p] = l - r;
}
now *= sum_e[bsf(~(unsigned int)(s))];
}
}
}
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly_inv(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_ie[30]; // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now;
now *= es[i];
}
}
for (int ph = h; ph >= 1; ph--) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = l + r;
a[i + offset + p] =
(unsigned long long)(mint::mod() + l.val() - r.val()) * inow.val();
}
inow *= sum_ie[bsf(~(unsigned int)(s))];
}
}
}
} // namespace internal
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
std::vector<mint> convolution(std::vector<mint> a, std::vector<mint> b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
if (std::min(n, m) <= 60) {
if (n < m) {
std::swap(n, m);
std::swap(a, b);
}
std::vector<mint> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
}
}
return ans;
}
int z = 1 << internal::ceil_pow2(n + m - 1);
a.resize(z);
internal::butterfly(a);
b.resize(z);
internal::butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
}
internal::butterfly_inv(a);
a.resize(n + m - 1);
mint iz = mint(z).inv();
for (int i = 0; i < n + m - 1; i++)
a[i] *= iz;
return a;
}
template <unsigned int mod = 998244353, class T,
std::enable_if_t<internal::is_integral<T>::value> * = nullptr>
std::vector<T> convolution(const std::vector<T> &a, const std::vector<T> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
using mint = static_modint<mod>;
std::vector<mint> a2(n), b2(m);
for (int i = 0; i < n; i++) {
a2[i] = mint(a[i]);
}
for (int i = 0; i < m; i++) {
b2[i] = mint(b[i]);
}
auto c2 = convolution(move(a2), move(b2));
std::vector<T> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
c[i] = c2[i].val();
}
return c;
}
std::vector<long long> convolution_ll(const std::vector<long long> &a,
const std::vector<long long> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
static constexpr unsigned long long MOD1 = 754974721; // 2^24
static constexpr unsigned long long MOD2 = 167772161; // 2^25
static constexpr unsigned long long MOD3 = 469762049; // 2^26
static constexpr unsigned long long M2M3 = MOD2 * MOD3;
static constexpr unsigned long long M1M3 = MOD1 * MOD3;
static constexpr unsigned long long M1M2 = MOD1 * MOD2;
static constexpr unsigned long long M1M2M3 = MOD1 * MOD2 * MOD3;
static constexpr unsigned long long i1 =
internal::inv_gcd(MOD2 * MOD3, MOD1).second;
static constexpr unsigned long long i2 =
internal::inv_gcd(MOD1 * MOD3, MOD2).second;
static constexpr unsigned long long i3 =
internal::inv_gcd(MOD1 * MOD2, MOD3).second;
auto c1 = convolution<MOD1>(a, b);
auto c2 = convolution<MOD2>(a, b);
auto c3 = convolution<MOD3>(a, b);
std::vector<long long> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
unsigned long long x = 0;
x += (c1[i] * i1) % MOD1 * M2M3;
x += (c2[i] * i2) % MOD2 * M1M3;
x += (c3[i] * i3) % MOD3 * M1M2;
// B = 2^63, -B <= x, r(real value) < B
// (x, x - M, x - 2M, or x - 3M) = r (mod 2B)
// r = c1[i] (mod MOD1)
// focus on MOD1
// r = x, x - M', x - 2M', x - 3M' (M' = M % 2^64) (mod 2B)
// r = x,
// x - M' + (0 or 2B),
// x - 2M' + (0, 2B or 4B),
// x - 3M' + (0, 2B, 4B or 6B) (without mod!)
// (r - x) = 0, (0)
// - M' + (0 or 2B), (1)
// -2M' + (0 or 2B or 4B), (2)
// -3M' + (0 or 2B or 4B or 6B) (3) (mod MOD1)
// we checked that
// ((1) mod MOD1) mod 5 = 2
// ((2) mod MOD1) mod 5 = 3
// ((3) mod MOD1) mod 5 = 4
long long diff =
c1[i] - internal::safe_mod((long long)(x), (long long)(MOD1));
if (diff < 0)
diff += MOD1;
static constexpr unsigned long long offset[5] = {0, 0, M1M2M3, 2 * M1M2M3,
3 * M1M2M3};
x -= offset[diff % 5];
c[i] = x;
}
return c;
}
} // namespace atcoder
#endif // ATCODER_CONVOLUTION_HPP
#ifndef ATCODER_DSU_HPP
#define ATCODER_DSU_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
// Implement (union by size) + (path compression)
// Reference:
// Zvi Galil and Giuseppe F. Italiano,
// Data structures and algorithms for disjoint set union problems
struct dsu {
public:
dsu() : _n(0) {}
dsu(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y)
return x;
if (-parent_or_size[x] < -parent_or_size[y])
std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0)
return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
} // namespace atcoder
#endif // ATCODER_DSU_HPP
#ifndef ATCODER_FENWICKTREE_HPP
#define ATCODER_FENWICKTREE_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
} // namespace atcoder
#endif // ATCODER_FENWICKTREE_HPP
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push(r >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP
#ifndef ATCODER_MATH_HPP
#define ATCODER_MATH_HPP 1
#include <algorithm>
#include <cassert>
#include <tuple>
#include <vector>
namespace atcoder {
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1)
return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1)
r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long> &r,
const std::vector<long long> &m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g % (u1*g) = (r1 - r0) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g)
return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0)
r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
long long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
} // namespace atcoder
#endif // ATCODER_MATH_HPP
#ifndef ATCODER_MAXFLOW_HPP
#define ATCODER_MAXFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MAXFLOW_HPP
#ifndef ATCODER_MINCOSTFLOW_HPP
#define ATCODER_MINCOSTFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap, cost});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result(m);
for (int i = 0; i < m; i++) {
result[i] = get_edge(i);
}
return result;
}
std::pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, std::numeric_limits<Cap>::max());
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants (C = maxcost):
// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
std::vector<Cost> dual(_n, 0), dist(_n);
std::vector<int> pv(_n), pe(_n);
std::vector<bool> vis(_n);
auto dual_ref = [&]() {
std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
std::fill(pv.begin(), pv.end(), -1);
std::fill(pe.begin(), pe.end(), -1);
std::fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
std::priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v] = shortest(s, v) + dual[s] - dual[v]
// dist[v] >= 0 (all reduced cost are positive)
// dist[v] <= (n-1)C
for (int i = 0; i < int(g[v].size()); i++) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to] + dual[v]| <= (n-1)C
// cost <= C - -(n-1)C + 0 = nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t]) {
return false;
}
for (int v = 0; v < _n; v++) {
if (!vis[v])
continue;
// dual[v] = dual[v] - dist[t] + dist[v]
// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) +
// (shortest(s, v) + dual[s] - dual[v]) = - shortest(s, t) +
// dual[t] + shortest(s, v) = shortest(s, v) - shortest(s, t) >=
// 0 - (n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost = -1;
std::vector<std::pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = std::min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost = cost;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MINCOSTFLOW_HPP
#ifndef ATCODER_SCC_HPP
#define ATCODER_SCC_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
private:
internal::scc_graph internal;
};
} // namespace atcoder
#endif // ATCODER_SCC_HPP
#ifndef ATCODER_SEGTREE_HPP
#define ATCODER_SEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#endif // ATCODER_SEGTREE_HPP
#ifndef ATCODER_STRING_HPP
#define ATCODER_STRING_HPP 1
#include <algorithm>
#include <cassert>
#include <numeric>
#include <string>
#include <vector>
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int> &s, int upper) {
int n = int(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int> &lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n)
continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1)
sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
} // namespace internal
std::vector<int> suffix_array(const std::vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T> &s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T> &s,
const std::vector<int> &sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h])
break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string &s, const std::vector<int> &sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T> &s) {
int n = int(s.size());
if (n == 0)
return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int &k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k])
k++;
if (j + z[j] < i + z[i])
j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
} // namespace atcoder
#endif // ATCODER_STRING_HPP
#ifndef ATCODER_TWOSAT_HPP
#define ATCODER_TWOSAT_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference:
// B. Aspvall, M. Plass, and R. Tarjan,
// A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean
// Formulas
struct two_sat {
public:
two_sat() : _n(0), scc(0) {}
two_sat(int n) : _n(n), _answer(n), scc(2 * n) {}
void add_clause(int i, bool f, int j, bool g) {
assert(0 <= i && i < _n);
assert(0 <= j && j < _n);
scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0));
scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0));
}
bool satisfiable() {
auto id = scc.scc_ids().second;
for (int i = 0; i < _n; i++) {
if (id[2 * i] == id[2 * i + 1])
return false;
_answer[i] = id[2 * i] < id[2 * i + 1];
}
return true;
}
std::vector<bool> answer() { return _answer; }
private:
int _n;
std::vector<bool> _answer;
internal::scc_graph scc;
};
} // namespace atcoder
#endif // ATCODER_TWOSAT_HPP
// dsu d(n) d.merge d.same d.leader d.size vector<vector<int>> d.groups()
// fenwick_tree<ll> fw(n) fw.add(p,x) fw.sum(l,r)
// pll crt(vector<ll> r,vector<ll> m) x≡y (modz) {y,z}
// floor_sum(n,m,a,b) Σi=0:i=n-1 floor((a*i+b)/m) O(log)
// mf_graph<int/ll> graph(n) int graph.add_edge(from,to,cap) (the number of
// edge) graph.flow(s,t)
// graph.flow(s,t,flow_limit) if(allcap==1) O(min(n^(2/3)m,m^(3/2)) else O(mnn)
// graph.change_cap(i,new_cap,new_flow) (can change)
// mf_graph<cap>::edge graph.get_edge(i) from,to,cap,flow
// vector<mf_graph<cap>::edge> graph.edges()
// mcf_graph<cap,cost> graph(n) int graph.add_edge(from,to,cap,cost) (the number
// of edge) pair<cap,cost> graph.flow(s,t,(flow_limit)) vector<pair<cap,cost>>
// graph.slope(s,t) ?? O(FV^2)or O(FElogV)
// using mint=static_modint<mod>;
// my SCC
// vector<ll> convolution<prime>(vector<ll> a,vector<ll> b)
// vector<ll> convolution_ll(vector<ll> a,vector<ll> b) no mod
struct SCC {
public:
static const int MV = 500010;
vector<vector<int>> sc;
// scが連結成分に含まれる頂点の番号、vが連結成分を一つの頂点と見たときのグラフ
int cmp[MV];
private:
bool used[MV];
vector<int> g[MV], rg[MV], vs;
int V;
public:
SCC(int n) {
V = n;
rep(i, 0, n) {
g[i].clear();
rg[i].clear();
}
}
void add(int from, int to) {
g[from].push_back(to);
rg[to].push_back(from);
}
void dfs(int now) {
used[now] = true;
rep(i, 0, g[now].size()) {
int ne = g[now][i];
if (!used[ne])
dfs(ne);
}
vs.push_back(now);
}
void rdfs(int now, int k) {
used[now] = true;
cmp[now] = k;
sc[k].push_back(now);
rep(i, 0, rg[now].size()) {
int ne = rg[now][i];
if (!used[ne])
rdfs(ne, k);
}
}
void scc() {
fill(used, used + V, false);
vs.clear();
sc.clear();
sc.resize(MV);
rep(i, 0, V) {
if (!used[i])
dfs(i);
}
fill(used, used + V, false);
int k = 0;
rrep(i, vs.size() - 1, 0) {
int ne = vs[i];
if (!used[ne]) {
rdfs(ne, k);
k++;
}
}
sc.resize(k);
}
};
// MVの指定!
using namespace atcoder;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n, m;
cin >> n >> m;
SCC sc(n);
rep(i, 0, m) {
int a, b;
cin >> a >> b;
sc.add(a, b);
}
sc.scc();
vector<vector<int>> v = sc.sc;
cout << v.size() << endl;
rep(i, 0, v.size()) {
cout << v[i].size() << " ";
rep(j, 0, v[i].size()) cout << v[i][j] << " ";
cout << endl;
}
}
| replace | 2,099 | 2,100 | 2,099 | 2,100 | 0 | |
p02564 | C++ | Runtime Error | #define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
#define int long long
#define ll long long
using ull = unsigned long long;
using namespace std;
#define dump(x) \
if (dbg) { \
cerr << #x << " = " << (x) << endl; \
}
#define overload4(_1, _2, _3, _4, name, ...) name
#define FOR1(n) for (ll i = 0; i < (n); ++i)
#define FOR2(i, n) for (ll i = 0; i < (n); ++i)
#define FOR3(i, a, b) for (ll i = (a); i < (b); ++i)
#define FOR4(i, a, b, c) for (ll i = (a); i < (b); i += (c))
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FORR(i, a, b) for (int i = (a); i <= (b); ++i)
#define bit(n, k) (((n) >> (k)) & 1) /*nのk bit目*/
namespace mydef {
const int INF = 1ll << 60;
const int MOD = 1e9 + 7;
template <class T> bool chmin(T &a, const T &b) {
if (a > b) {
a = b;
return 1;
} else
return 0;
}
template <class T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return 1;
} else
return 0;
}
void Yes(bool flag = true) {
if (flag)
cout << "Yes" << endl;
else
cout << "No" << endl;
}
void No(bool flag = true) { Yes(!flag); }
void YES(bool flag = true) {
if (flag)
cout << "YES" << endl;
else
cout << "NO" << endl;
}
void NO(bool flag = true) { YES(!flag); }
template <typename A, size_t N, typename T>
void Fill(A (&array)[N], const T &val) {
std::fill((T *)array, (T *)(array + N), val);
}
bool dbg = true;
} // namespace mydef
using namespace mydef;
#define pb push_back
// #define mp make_pair
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define all(v) (v).begin(), (v).end()
#define SZ(x) ((int)(x).size())
#define vi vector<int>
#define vvi vector<vector<int>>
#define vp vector<pair<int, int>>
#define vvp vector<vector<pair<int, int>>>
#define pi pair<int, int>
// #define P pair<int, int>
// #define V vector<int>
// #define S set<int>
#define asn ans
#include <bits/stdc++.h>
using namespace std;
template <typename T> struct edge {
int to, id;
T cost;
edge(int to) : to(to), id(-1), cost(1) {}
edge(int to, T cost) : to(to), id(-1), cost(cost) {}
edge(int to, T cost, int id) : to(to), id(id), cost(cost) {}
operator int() const { return to; }
/*
edge& operator=(const int& x) {
to = x;
return *this;
}
*/
};
template <typename T> class Graph : public vector<vector<edge<T>>> {
//--------Basic--------
private:
using Edge = edge<T>;
int M; // M:辺の数
bool undirected = false;
bool directed = false;
bool unweighted = false;
bool weighted = false;
bool tree = false;
//
public:
vector<int> A, B;
vector<T> C;
//
public:
Graph() = default;
// unweighted
void add_edge_undirected(int u, int v, int id = -1) {
assert(!directed);
assert(!weighted);
undirected = true;
unweighted = true;
(*this)[u].emplace_back(Edge{v, 1, id});
(*this)[v].emplace_back(Edge{u, 1, id});
}
void build_undirected(int m) {
assert(!(*this).empty());
assert(!directed);
assert(!weighted);
undirected = true;
unweighted = true;
M = m;
A.resize(m);
B.resize(m);
for (int i = 0; i < m; i++) {
int u, v;
cin >> u >> v;
u--;
v--;
A[i] = u;
B[i] = v;
(*this)[u].emplace_back(Edge{v, 1, i});
(*this)[v].emplace_back(Edge{u, 1, i});
}
}
void build_undirected(int n, int m) {
(*this).resize(n);
build_undirected(m);
}
void add_edge_directed(int u, int v, int id = -1) {
assert(!undirected);
assert(!weighted);
directed = true;
unweighted = true;
(*this)[u].emplace_back(Edge{v, 1, id});
}
void build_directed(int m) {
assert(!(*this).empty());
assert(!undirected);
assert(!weighted);
directed = true;
unweighted = true;
M = m;
A.resize(M);
B.resize(M);
for (int i = 0; i < m; i++) {
int u, v;
cin >> u >> v;
u--;
v--;
A[i] = u;
B[i] = v;
(*this)[u].emplace_back(Edge{v, 1, i});
}
}
void build_directed(int n, int m) {
(*this).resize(n);
build_directed(m);
}
// weighed
void add_edge_undirected_weighed(int u, int v, T cost, int id = -1) {
assert(!directed);
assert(!unweighted);
undirected = true;
weighted = true;
(*this)[u].emplace_back(Edge{v, cost, id});
(*this)[v].emplace_back(Edge{u, cost, id});
}
void build_undirected_weighted(int m) {
assert(!(*this).empty());
assert(!directed);
assert(!unweighted);
undirected = true;
weighted = true;
M = m;
A.resize(m);
B.resize(m);
C.resize(m);
for (int i = 0; i < m; i++) {
int u, v;
T cost;
cin >> u >> v >> cost;
u--;
v--;
A[i] = u;
B[i] = v;
C[i] = cost;
(*this)[u].emplace_back(Edge{v, cost, i});
(*this)[v].emplace_back(Edge{u, cost, i});
}
}
void build_undirected_weighted(int n, int m) {
(*this).resize(n);
build_undirected_weighted(m);
}
void add_edge_directed_weighted(int u, int v, T cost, int id = -1) {
assert(!undirected);
assert(!unweighted);
directed = true;
weighted = true;
(*this)[u].emplace_back(Edge{v, cost, id});
}
void build_directed_weighted(int m) {
assert(!(*this).empty());
assert(!undirected);
assert(!unweighted);
directed = true;
weighted = true;
M = m;
A.resize(m);
B.resize(m);
C.resize(m);
for (int i = 0; i < m; i++) {
int u, v;
T cost;
cin >> u >> v >> cost;
u--;
v--;
A[i] = u;
B[i] = v;
C[i] = cost;
(*this)[u].emplace_back(Edge{v, cost, i});
}
}
void build_directed_weighted(int n, int m) {
(*this).resize(n);
build_directed_weighted(m);
}
void build(vector<vector<int>> G) {
int N = G.size();
(*this).resize(N);
for (int i = 0; i < N; i++) {
for (auto &x : G[i]) {
add_edge_directed(i, x);
}
}
}
// tree
void istree() { tree = true; }
void build_tree(int n) {
istree();
build_undirected(n, n - 1);
}
void build_tree_weighted(int n) {
istree();
build_undirected_weighted(n, n - 1);
}
// print state
void state() {
cerr << endl
<< "Print State" << endl
<< "Edge :" << endl
<< " Directed : " << (directed ? "Yes" : "No") << endl
<< " Undirected : " << (undirected ? "Yes" : "No") << endl
<< " Weighted : " << (weighted ? "Yes" : "No") << endl
<< " Unweighted : " << (unweighted ? "Yes" : "No") << endl
<< " Tree : " << (tree ? "Yes" : "No") << endl
<< "Test" << endl
<< " test_bipartite(verified) : Yes" << endl
<< "Usable Functions : Graph" << endl
<< " Dijkstra(verified) : Yes" << endl
<< " Warshall–Floyd(verified) : Yes" << endl
<< " Kruskal(verified) : Yes" << endl
<< " TopologicalSort(verified) : Yes" << endl
<< " StronglyConnectedComponent(unverified): "
<< (StronglyConnectedComponent_ready ? "Yes" : "No") << endl
<< "Usable Funcitons : Tree" << endl
<< " ReRooting(verified) : Yes" << endl;
}
//
//--------union-find tree--------
struct UnionFind {
vector<int> data;
UnionFind(int n) { data.assign(n, -1); }
bool unite(int x, int y) {
x = root(x), y = root(y);
if (x == y)
return (false);
if (data[x] > data[y])
swap(x, y);
data[x] += data[y];
data[y] = x;
return (true);
}
int root(int k) {
if (data[k] < 0)
return (k);
return (data[k] = root(data[k]));
}
bool same(int x, int y) { return root(x) == root(y); }
int size(int k) { return (-data[root(k)]); }
};
//
//--------test_bipartite--------
// verified
public:
bool test_bipartite() {
int N = (*this).size();
UnionFind uf(N * 2);
for (int i = 0; i < N; i++) {
for (auto &e : (*this)[i]) {
uf.unite(i, e.to + N);
uf.unite(i + N, e.to);
}
}
for (int i = 0; i < N; i++) {
if (uf.same(i, i + N))
return false;
}
return true;
}
//
//--------reverse--------
public:
void reverse() {
int N = (*this).size();
vector<pair<int, Edge>> V;
V.reserve(M);
for (int i = 0; i < N; i++) {
for (auto &e : (*this)[i]) {
V.emplace_back(make_pair(i, e));
}
}
(*this).erase((*this).begin(), (*this).end());
(*this).resize(N);
for (auto &p : V)
(*this)[p.second.to].emplace_back(
Edge{p.first, p.second.cost, p.second.id});
}
//
//--------Dijkstra--------
// verified
public:
// pair<vector<T>, vector<int>> Dijkstra(int s) {
vector<T> Dijkstra(int s) {
const T INF = numeric_limits<T>::max() / 5;
using P = pair<T, int>;
int N = (*this).size();
vector<T> dist(N, INF);
// vector<int> bef(N, -1);
priority_queue<P, vector<P>, greater<P>> que;
dist[s] = 0;
que.emplace(dist[s], s);
while (!que.empty()) {
P p = que.top();
que.pop();
int now = p.second;
if (dist[now] < p.first)
continue;
for (auto &p : (*this)[now]) {
int nxt = p.to;
T cost = p.cost;
if (dist[nxt] > dist[now] + cost) {
dist[nxt] = dist[now] + cost;
// bef[nxt] = now;
que.emplace(dist[nxt], nxt);
}
}
}
return dist;
// return make_pair(dist, bef);
}
//
//
//--------Warshall–Floyd--------
// verified
public:
vector<vector<T>> WarshallFloyd() {
int N = (*this).size();
const T INF = numeric_limits<T>::max() / 3;
vector<vector<T>> ret(N, vector<T>(N, INF));
for (int i = 0; i < N; i++) {
for (auto &e : (*this)[i]) {
ret[i][e.to] = e.cost;
}
ret[i][i] = 0;
}
for (int k = 0; k < N; k++) {
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
if (ret[i][j] > ret[i][k] + ret[k][j])
ret[i][j] = ret[i][k] + ret[k][j];
}
}
}
return ret;
}
//
//
//--------Kruskal--------
// verified
private:
vector<int> Kruskal_data;
bool Kruskal_unite(int x, int y) {
x = Kruskal_root(x), y = Kruskal_root(y);
if (x == y)
return (false);
if (Kruskal_data[x] > Kruskal_data[y])
swap(x, y);
Kruskal_data[x] += Kruskal_data[y];
Kruskal_data[y] = x;
return (true);
}
int Kruskal_root(int k) {
if (Kruskal_data[k] < 0)
return (k);
return (Kruskal_data[k] = Kruskal_root(Kruskal_data[k]));
}
bool Kruskal_same(int x, int y) { return Kruskal_root(x) == Kruskal_root(y); }
int Kruskal_size(int k) { return (-Kruskal_data[Kruskal_root(k)]); }
//
public:
template <class Compare = less<T>>
pair<T, vector<bool>> Kruskal(bool flag = false) {
struct edge2 {
int from, to;
T cost;
bool used;
int id;
edge2(int from, int to, T cost, int id)
: from(from), to(to), cost(cost), used(false), id(id) {}
};
vector<edge2> edges;
int N = (*this).size();
Kruskal_data.assign(N, -1);
for (int i = 0; i < (int)(*this).size(); i++) {
auto &V = (*this)[i];
for (auto &e : V) {
edges.emplace_back(i, e.to, e.cost, e.id);
}
}
sort(edges.begin(), edges.end(), [](const edge2 &a, const edge2 &b) {
return Compare()(a.cost, b.cost);
});
T ret = 0;
vector<bool> V;
if (flag)
V.resize(M, false);
for (auto &e : edges) {
if (Kruskal_unite(e.from, e.to)) {
ret += e.cost;
e.used = true;
}
}
if (flag)
for (auto &e : edges) {
assert(e.id >= 0 && e.id < M);
if (e.used)
V[e.id] = true;
}
if (N == Kruskal_size(0))
return make_pair(ret, V);
else
return make_pair(-1, V);
}
//
//--------StronglyConnectedComponent--------
// Unverified
public:
vector<vector<int>> SCC_R, SCC_T;
//
private:
bool StronglyConnectedComponent_ready = false;
vector<int> SCC_cmp, SCC_ord;
vector<bool> SCC_used;
//
public:
int Gbuild_SCC() {
cerr << "Please Verify" << endl;
assert(!undirected);
assert(directed);
int N = (*this).size();
SCC_R.resize(N);
for (int i = 0; i < N; i++) {
for (auto &x : (*this)[i]) {
SCC_R[x].emplace_back(i);
}
}
SCC_cmp.resize(N);
fill(SCC_cmp.begin(), SCC_cmp.end(), -1);
SCC_used.resize(N);
fill(SCC_used.begin(), SCC_used.end(), false);
StronglyConnectedComponent_ready = true;
return build_StronglyConnectedComponent_init();
}
int SCC(int k) {
assert(StronglyConnectedComponent_ready);
return SCC_cmp[k];
}
//
private:
void build_StronglyConnectedComponent_dfs(int now) {
if (SCC_used[now])
return;
SCC_used[now] = true;
for (auto nxt : (*this)[now])
build_StronglyConnectedComponent_dfs(nxt);
SCC_ord.emplace_back(now);
}
void build_StronglyConnectedComponent_rdfs(int now, int count) {
if (SCC_cmp[now] != -1)
return;
SCC_cmp[now] = count;
for (auto to : SCC_R[now])
build_StronglyConnectedComponent_rdfs(to, count);
}
int build_StronglyConnectedComponent_init() {
int n = (int)(*this).size();
for (int i = 0; i < n; i++)
build_StronglyConnectedComponent_dfs(i);
std::reverse(SCC_ord.begin(), SCC_ord.end());
int group = 0;
for (auto &i : SCC_ord) {
if (SCC_cmp[i] == -1) {
build_StronglyConnectedComponent_rdfs(i, group);
group++;
}
}
SCC_T.resize(group);
for (int i = 0; i < n; i++) {
for (auto &to : (*this)[i]) {
int s = SCC_cmp[i], t = SCC_cmp[to];
if (s != t)
SCC_T[s].emplace_back(t);
}
}
return group;
}
//
//
//
//--------TopologicalSort--------
// verified
public:
vector<int> TopologicalSort() {
assert(!undirected);
int N = (*this).size();
vector<int> deg(N);
for (auto &V : (*this))
for (auto &e : V)
deg[e.to]++;
stack<int> st;
for (int i = 0; i < N; i++)
if (deg[i] == 0)
st.emplace(i);
vector<int> ret;
ret.reserve(N);
while (!st.empty()) {
auto x = st.top();
st.pop();
ret.emplace_back(x);
for (auto &e : (*this)[x])
if (--deg[e.to] == 0)
st.emplace(e.to);
}
return ret;
}
//
//
//--------Tree--------
//
//
//--------ReRooting--------
public:
template <typename sum_t>
pair<vector<sum_t>, vector<vector<sum_t>>>
Tbuild_ReRooting(const function<sum_t(sum_t, sum_t)> f,
const function<sum_t(sum_t, Edge)> gg, sum_t ident) {
assert(tree);
int N = (*this).size();
vector<sum_t> subdp(N, ident), dp(N, ident);
vector<vector<sum_t>> g_dp(N), g_ndp(N), memo(N);
vector<vector<bool>> seen(N);
for (int i = 0; i < N; i++) {
int S = (*this)[i].size();
g_dp[i].resize(S, ident);
g_ndp[i].resize(S, ident);
memo[i].resize(S);
seen[i].resize(S, false);
}
stack<int> stk;
stk.push(0);
vector<int> par(N), ord(N);
int index = 0;
par[0] = -1;
while (!stk.empty()) {
int node = stk.top();
stk.pop();
ord[index++] = node;
for (auto &e : (*this)[node]) {
if (e.to == par[node])
continue;
stk.push(e.to);
par[e.to] = node;
}
}
for (int k = ord.size() - 1; k >= 0; k--) {
int idx = ord[k];
for (int i = 0; i < (int)((*this)[idx].size()); i++) {
auto &e = (*this)[idx][i];
if (e.to == par[idx])
continue;
if (!seen[idx][i]) {
memo[idx][i] = gg(subdp[e.to], e);
seen[idx][i] = true;
}
subdp[idx] = f(subdp[idx], memo[idx][i]);
}
}
vector<sum_t> top(N, ident);
for (int k = 0; k < (int)(ord.size()); k++) {
int idx = ord[k];
sum_t buff{ident};
for (int i = 0; i < (int)((*this)[idx].size()); i++) {
auto &e = (*this)[idx][i];
g_ndp[idx][i] = buff;
if (!seen[idx][i]) {
memo[idx][i] = gg(par[idx] == e.to ? top[idx] : subdp[e.to], e);
seen[idx][i] = true;
}
g_dp[idx][i] = memo[idx][i];
buff = f(buff, g_dp[idx][i]);
}
dp[idx] = buff;
buff = ident;
for (int i = (*this)[idx].size() - 1; i >= 0; i--) {
auto &e = (*this)[idx][i];
if (e.to != par[idx])
top[e.to] = f(g_ndp[idx][i], buff);
g_ndp[idx][i] = f(g_ndp[idx][i], buff);
buff = f(buff, g_dp[idx][i]);
}
}
return make_pair(dp, memo);
}
//
//
//
// TODO:lca,centroid,diameter,hl-decomposition
};
// グローバルでの使用のみ想定
int N, M;
Graph<int> G;
Graph<int> H;
vi id[202020];
void solve() {
cout << G.Gbuild_SCC() << endl;
H.build(G.SCC_T);
for (int i = 0; i < N; i++) {
id[G.SCC(i)].emplace_back(i);
}
auto V = H.TopologicalSort();
for (auto &x : V) {
cout << id[x].size() << " ";
for (auto &i : id[x])
cout << i << " ";
cout << endl;
}
}
signed main() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cin >> N >> M;
G.resize(N);
for (int i = 0; i < M; i++) {
int a, b;
cin >> a >> b;
G.add_edge_directed(a, b);
}
solve();
return 0;
}
| #define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
#define int long long
#define ll long long
using ull = unsigned long long;
using namespace std;
#define dump(x) \
if (dbg) { \
cerr << #x << " = " << (x) << endl; \
}
#define overload4(_1, _2, _3, _4, name, ...) name
#define FOR1(n) for (ll i = 0; i < (n); ++i)
#define FOR2(i, n) for (ll i = 0; i < (n); ++i)
#define FOR3(i, a, b) for (ll i = (a); i < (b); ++i)
#define FOR4(i, a, b, c) for (ll i = (a); i < (b); i += (c))
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FORR(i, a, b) for (int i = (a); i <= (b); ++i)
#define bit(n, k) (((n) >> (k)) & 1) /*nのk bit目*/
namespace mydef {
const int INF = 1ll << 60;
const int MOD = 1e9 + 7;
template <class T> bool chmin(T &a, const T &b) {
if (a > b) {
a = b;
return 1;
} else
return 0;
}
template <class T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return 1;
} else
return 0;
}
void Yes(bool flag = true) {
if (flag)
cout << "Yes" << endl;
else
cout << "No" << endl;
}
void No(bool flag = true) { Yes(!flag); }
void YES(bool flag = true) {
if (flag)
cout << "YES" << endl;
else
cout << "NO" << endl;
}
void NO(bool flag = true) { YES(!flag); }
template <typename A, size_t N, typename T>
void Fill(A (&array)[N], const T &val) {
std::fill((T *)array, (T *)(array + N), val);
}
bool dbg = true;
} // namespace mydef
using namespace mydef;
#define pb push_back
// #define mp make_pair
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define all(v) (v).begin(), (v).end()
#define SZ(x) ((int)(x).size())
#define vi vector<int>
#define vvi vector<vector<int>>
#define vp vector<pair<int, int>>
#define vvp vector<vector<pair<int, int>>>
#define pi pair<int, int>
// #define P pair<int, int>
// #define V vector<int>
// #define S set<int>
#define asn ans
#include <bits/stdc++.h>
using namespace std;
template <typename T> struct edge {
int to, id;
T cost;
edge(int to) : to(to), id(-1), cost(1) {}
edge(int to, T cost) : to(to), id(-1), cost(cost) {}
edge(int to, T cost, int id) : to(to), id(id), cost(cost) {}
operator int() const { return to; }
/*
edge& operator=(const int& x) {
to = x;
return *this;
}
*/
};
template <typename T> class Graph : public vector<vector<edge<T>>> {
//--------Basic--------
private:
using Edge = edge<T>;
int M; // M:辺の数
bool undirected = false;
bool directed = false;
bool unweighted = false;
bool weighted = false;
bool tree = false;
//
public:
vector<int> A, B;
vector<T> C;
//
public:
Graph() = default;
// unweighted
void add_edge_undirected(int u, int v, int id = -1) {
assert(!directed);
assert(!weighted);
undirected = true;
unweighted = true;
(*this)[u].emplace_back(Edge{v, 1, id});
(*this)[v].emplace_back(Edge{u, 1, id});
}
void build_undirected(int m) {
assert(!(*this).empty());
assert(!directed);
assert(!weighted);
undirected = true;
unweighted = true;
M = m;
A.resize(m);
B.resize(m);
for (int i = 0; i < m; i++) {
int u, v;
cin >> u >> v;
u--;
v--;
A[i] = u;
B[i] = v;
(*this)[u].emplace_back(Edge{v, 1, i});
(*this)[v].emplace_back(Edge{u, 1, i});
}
}
void build_undirected(int n, int m) {
(*this).resize(n);
build_undirected(m);
}
void add_edge_directed(int u, int v, int id = -1) {
assert(!undirected);
assert(!weighted);
directed = true;
unweighted = true;
(*this)[u].emplace_back(Edge{v, 1, id});
}
void build_directed(int m) {
assert(!(*this).empty());
assert(!undirected);
assert(!weighted);
directed = true;
unweighted = true;
M = m;
A.resize(M);
B.resize(M);
for (int i = 0; i < m; i++) {
int u, v;
cin >> u >> v;
u--;
v--;
A[i] = u;
B[i] = v;
(*this)[u].emplace_back(Edge{v, 1, i});
}
}
void build_directed(int n, int m) {
(*this).resize(n);
build_directed(m);
}
// weighed
void add_edge_undirected_weighed(int u, int v, T cost, int id = -1) {
assert(!directed);
assert(!unweighted);
undirected = true;
weighted = true;
(*this)[u].emplace_back(Edge{v, cost, id});
(*this)[v].emplace_back(Edge{u, cost, id});
}
void build_undirected_weighted(int m) {
assert(!(*this).empty());
assert(!directed);
assert(!unweighted);
undirected = true;
weighted = true;
M = m;
A.resize(m);
B.resize(m);
C.resize(m);
for (int i = 0; i < m; i++) {
int u, v;
T cost;
cin >> u >> v >> cost;
u--;
v--;
A[i] = u;
B[i] = v;
C[i] = cost;
(*this)[u].emplace_back(Edge{v, cost, i});
(*this)[v].emplace_back(Edge{u, cost, i});
}
}
void build_undirected_weighted(int n, int m) {
(*this).resize(n);
build_undirected_weighted(m);
}
void add_edge_directed_weighted(int u, int v, T cost, int id = -1) {
assert(!undirected);
assert(!unweighted);
directed = true;
weighted = true;
(*this)[u].emplace_back(Edge{v, cost, id});
}
void build_directed_weighted(int m) {
assert(!(*this).empty());
assert(!undirected);
assert(!unweighted);
directed = true;
weighted = true;
M = m;
A.resize(m);
B.resize(m);
C.resize(m);
for (int i = 0; i < m; i++) {
int u, v;
T cost;
cin >> u >> v >> cost;
u--;
v--;
A[i] = u;
B[i] = v;
C[i] = cost;
(*this)[u].emplace_back(Edge{v, cost, i});
}
}
void build_directed_weighted(int n, int m) {
(*this).resize(n);
build_directed_weighted(m);
}
void build(vector<vector<int>> G) {
int N = G.size();
(*this).resize(N);
for (int i = 0; i < N; i++) {
for (auto &x : G[i]) {
add_edge_directed(i, x);
}
}
}
// tree
void istree() { tree = true; }
void build_tree(int n) {
istree();
build_undirected(n, n - 1);
}
void build_tree_weighted(int n) {
istree();
build_undirected_weighted(n, n - 1);
}
// print state
void state() {
cerr << endl
<< "Print State" << endl
<< "Edge :" << endl
<< " Directed : " << (directed ? "Yes" : "No") << endl
<< " Undirected : " << (undirected ? "Yes" : "No") << endl
<< " Weighted : " << (weighted ? "Yes" : "No") << endl
<< " Unweighted : " << (unweighted ? "Yes" : "No") << endl
<< " Tree : " << (tree ? "Yes" : "No") << endl
<< "Test" << endl
<< " test_bipartite(verified) : Yes" << endl
<< "Usable Functions : Graph" << endl
<< " Dijkstra(verified) : Yes" << endl
<< " Warshall–Floyd(verified) : Yes" << endl
<< " Kruskal(verified) : Yes" << endl
<< " TopologicalSort(verified) : Yes" << endl
<< " StronglyConnectedComponent(unverified): "
<< (StronglyConnectedComponent_ready ? "Yes" : "No") << endl
<< "Usable Funcitons : Tree" << endl
<< " ReRooting(verified) : Yes" << endl;
}
//
//--------union-find tree--------
struct UnionFind {
vector<int> data;
UnionFind(int n) { data.assign(n, -1); }
bool unite(int x, int y) {
x = root(x), y = root(y);
if (x == y)
return (false);
if (data[x] > data[y])
swap(x, y);
data[x] += data[y];
data[y] = x;
return (true);
}
int root(int k) {
if (data[k] < 0)
return (k);
return (data[k] = root(data[k]));
}
bool same(int x, int y) { return root(x) == root(y); }
int size(int k) { return (-data[root(k)]); }
};
//
//--------test_bipartite--------
// verified
public:
bool test_bipartite() {
int N = (*this).size();
UnionFind uf(N * 2);
for (int i = 0; i < N; i++) {
for (auto &e : (*this)[i]) {
uf.unite(i, e.to + N);
uf.unite(i + N, e.to);
}
}
for (int i = 0; i < N; i++) {
if (uf.same(i, i + N))
return false;
}
return true;
}
//
//--------reverse--------
public:
void reverse() {
int N = (*this).size();
vector<pair<int, Edge>> V;
V.reserve(M);
for (int i = 0; i < N; i++) {
for (auto &e : (*this)[i]) {
V.emplace_back(make_pair(i, e));
}
}
(*this).erase((*this).begin(), (*this).end());
(*this).resize(N);
for (auto &p : V)
(*this)[p.second.to].emplace_back(
Edge{p.first, p.second.cost, p.second.id});
}
//
//--------Dijkstra--------
// verified
public:
// pair<vector<T>, vector<int>> Dijkstra(int s) {
vector<T> Dijkstra(int s) {
const T INF = numeric_limits<T>::max() / 5;
using P = pair<T, int>;
int N = (*this).size();
vector<T> dist(N, INF);
// vector<int> bef(N, -1);
priority_queue<P, vector<P>, greater<P>> que;
dist[s] = 0;
que.emplace(dist[s], s);
while (!que.empty()) {
P p = que.top();
que.pop();
int now = p.second;
if (dist[now] < p.first)
continue;
for (auto &p : (*this)[now]) {
int nxt = p.to;
T cost = p.cost;
if (dist[nxt] > dist[now] + cost) {
dist[nxt] = dist[now] + cost;
// bef[nxt] = now;
que.emplace(dist[nxt], nxt);
}
}
}
return dist;
// return make_pair(dist, bef);
}
//
//
//--------Warshall–Floyd--------
// verified
public:
vector<vector<T>> WarshallFloyd() {
int N = (*this).size();
const T INF = numeric_limits<T>::max() / 3;
vector<vector<T>> ret(N, vector<T>(N, INF));
for (int i = 0; i < N; i++) {
for (auto &e : (*this)[i]) {
ret[i][e.to] = e.cost;
}
ret[i][i] = 0;
}
for (int k = 0; k < N; k++) {
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
if (ret[i][j] > ret[i][k] + ret[k][j])
ret[i][j] = ret[i][k] + ret[k][j];
}
}
}
return ret;
}
//
//
//--------Kruskal--------
// verified
private:
vector<int> Kruskal_data;
bool Kruskal_unite(int x, int y) {
x = Kruskal_root(x), y = Kruskal_root(y);
if (x == y)
return (false);
if (Kruskal_data[x] > Kruskal_data[y])
swap(x, y);
Kruskal_data[x] += Kruskal_data[y];
Kruskal_data[y] = x;
return (true);
}
int Kruskal_root(int k) {
if (Kruskal_data[k] < 0)
return (k);
return (Kruskal_data[k] = Kruskal_root(Kruskal_data[k]));
}
bool Kruskal_same(int x, int y) { return Kruskal_root(x) == Kruskal_root(y); }
int Kruskal_size(int k) { return (-Kruskal_data[Kruskal_root(k)]); }
//
public:
template <class Compare = less<T>>
pair<T, vector<bool>> Kruskal(bool flag = false) {
struct edge2 {
int from, to;
T cost;
bool used;
int id;
edge2(int from, int to, T cost, int id)
: from(from), to(to), cost(cost), used(false), id(id) {}
};
vector<edge2> edges;
int N = (*this).size();
Kruskal_data.assign(N, -1);
for (int i = 0; i < (int)(*this).size(); i++) {
auto &V = (*this)[i];
for (auto &e : V) {
edges.emplace_back(i, e.to, e.cost, e.id);
}
}
sort(edges.begin(), edges.end(), [](const edge2 &a, const edge2 &b) {
return Compare()(a.cost, b.cost);
});
T ret = 0;
vector<bool> V;
if (flag)
V.resize(M, false);
for (auto &e : edges) {
if (Kruskal_unite(e.from, e.to)) {
ret += e.cost;
e.used = true;
}
}
if (flag)
for (auto &e : edges) {
assert(e.id >= 0 && e.id < M);
if (e.used)
V[e.id] = true;
}
if (N == Kruskal_size(0))
return make_pair(ret, V);
else
return make_pair(-1, V);
}
//
//--------StronglyConnectedComponent--------
// Unverified
public:
vector<vector<int>> SCC_R, SCC_T;
//
private:
bool StronglyConnectedComponent_ready = false;
vector<int> SCC_cmp, SCC_ord;
vector<bool> SCC_used;
//
public:
int Gbuild_SCC() {
cerr << "Please Verify" << endl;
assert(!undirected);
assert(directed);
int N = (*this).size();
SCC_R.resize(N);
for (int i = 0; i < N; i++) {
for (auto &x : (*this)[i]) {
SCC_R[x].emplace_back(i);
}
}
SCC_cmp.resize(N);
fill(SCC_cmp.begin(), SCC_cmp.end(), -1);
SCC_used.resize(N);
fill(SCC_used.begin(), SCC_used.end(), false);
StronglyConnectedComponent_ready = true;
return build_StronglyConnectedComponent_init();
}
int SCC(int k) {
assert(StronglyConnectedComponent_ready);
return SCC_cmp[k];
}
//
private:
void build_StronglyConnectedComponent_dfs(int now) {
if (SCC_used[now])
return;
SCC_used[now] = true;
for (auto nxt : (*this)[now])
build_StronglyConnectedComponent_dfs(nxt);
SCC_ord.emplace_back(now);
}
void build_StronglyConnectedComponent_rdfs(int now, int count) {
if (SCC_cmp[now] != -1)
return;
SCC_cmp[now] = count;
for (auto to : SCC_R[now])
build_StronglyConnectedComponent_rdfs(to, count);
}
int build_StronglyConnectedComponent_init() {
int n = (int)(*this).size();
for (int i = 0; i < n; i++)
build_StronglyConnectedComponent_dfs(i);
std::reverse(SCC_ord.begin(), SCC_ord.end());
int group = 0;
for (auto &i : SCC_ord) {
if (SCC_cmp[i] == -1) {
build_StronglyConnectedComponent_rdfs(i, group);
group++;
}
}
SCC_T.resize(group);
for (int i = 0; i < n; i++) {
for (auto &to : (*this)[i]) {
int s = SCC_cmp[i], t = SCC_cmp[to];
if (s != t)
SCC_T[s].emplace_back(t);
}
}
return group;
}
//
//
//
//--------TopologicalSort--------
// verified
public:
vector<int> TopologicalSort() {
assert(!undirected);
int N = (*this).size();
vector<int> deg(N);
for (auto &V : (*this))
for (auto &e : V)
deg[e.to]++;
stack<int> st;
for (int i = 0; i < N; i++)
if (deg[i] == 0)
st.emplace(i);
vector<int> ret;
ret.reserve(N);
while (!st.empty()) {
auto x = st.top();
st.pop();
ret.emplace_back(x);
for (auto &e : (*this)[x])
if (--deg[e.to] == 0)
st.emplace(e.to);
}
return ret;
}
//
//
//--------Tree--------
//
//
//--------ReRooting--------
public:
template <typename sum_t>
pair<vector<sum_t>, vector<vector<sum_t>>>
Tbuild_ReRooting(const function<sum_t(sum_t, sum_t)> f,
const function<sum_t(sum_t, Edge)> gg, sum_t ident) {
assert(tree);
int N = (*this).size();
vector<sum_t> subdp(N, ident), dp(N, ident);
vector<vector<sum_t>> g_dp(N), g_ndp(N), memo(N);
vector<vector<bool>> seen(N);
for (int i = 0; i < N; i++) {
int S = (*this)[i].size();
g_dp[i].resize(S, ident);
g_ndp[i].resize(S, ident);
memo[i].resize(S);
seen[i].resize(S, false);
}
stack<int> stk;
stk.push(0);
vector<int> par(N), ord(N);
int index = 0;
par[0] = -1;
while (!stk.empty()) {
int node = stk.top();
stk.pop();
ord[index++] = node;
for (auto &e : (*this)[node]) {
if (e.to == par[node])
continue;
stk.push(e.to);
par[e.to] = node;
}
}
for (int k = ord.size() - 1; k >= 0; k--) {
int idx = ord[k];
for (int i = 0; i < (int)((*this)[idx].size()); i++) {
auto &e = (*this)[idx][i];
if (e.to == par[idx])
continue;
if (!seen[idx][i]) {
memo[idx][i] = gg(subdp[e.to], e);
seen[idx][i] = true;
}
subdp[idx] = f(subdp[idx], memo[idx][i]);
}
}
vector<sum_t> top(N, ident);
for (int k = 0; k < (int)(ord.size()); k++) {
int idx = ord[k];
sum_t buff{ident};
for (int i = 0; i < (int)((*this)[idx].size()); i++) {
auto &e = (*this)[idx][i];
g_ndp[idx][i] = buff;
if (!seen[idx][i]) {
memo[idx][i] = gg(par[idx] == e.to ? top[idx] : subdp[e.to], e);
seen[idx][i] = true;
}
g_dp[idx][i] = memo[idx][i];
buff = f(buff, g_dp[idx][i]);
}
dp[idx] = buff;
buff = ident;
for (int i = (*this)[idx].size() - 1; i >= 0; i--) {
auto &e = (*this)[idx][i];
if (e.to != par[idx])
top[e.to] = f(g_ndp[idx][i], buff);
g_ndp[idx][i] = f(g_ndp[idx][i], buff);
buff = f(buff, g_dp[idx][i]);
}
}
return make_pair(dp, memo);
}
//
//
//
// TODO:lca,centroid,diameter,hl-decomposition
};
// グローバルでの使用のみ想定
int N, M;
Graph<int> G;
Graph<int> H;
vi id[502020];
void solve() {
cout << G.Gbuild_SCC() << endl;
H.build(G.SCC_T);
for (int i = 0; i < N; i++) {
id[G.SCC(i)].emplace_back(i);
}
auto V = H.TopologicalSort();
for (auto &x : V) {
cout << id[x].size() << " ";
for (auto &i : id[x])
cout << i << " ";
cout << endl;
}
}
signed main() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cin >> N >> M;
G.resize(N);
for (int i = 0; i < M; i++) {
int a, b;
cin >> a >> b;
G.add_edge_directed(a, b);
}
solve();
return 0;
}
| replace | 655 | 656 | 655 | 656 | 0 | Please Verify
|
p02565 | C++ | Runtime Error | #include <algorithm>
#include <iostream>
#include <vector>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int N, D;
cin >> N >> D;
vector<int> X(N), Y(N);
for (int i = 0; i < N; ++i)
cin >> X[i] >> Y[i];
vector<vector<int>> graph(N * 2), rev(N * 2);
for (int i = 0; i < N; ++i) {
for (int j = 0; j < i; ++j) {
if (abs(X[i] - X[j]) < D) {
graph[i * 2 + 1].emplace_back(j * 2);
graph[j * 2 + 1].emplace_back(i * 2);
rev[i * 2].emplace_back(j * 2 + 1);
rev[j * 2].emplace_back(i * 2 + 1);
}
if (abs(X[i] - Y[j]) < D) {
graph[i * 2 + 1].emplace_back(j * 2 + 1);
graph[j * 2].emplace_back(i * 2);
rev[i * 2].emplace_back(j * 2);
rev[j * 2 + 1].emplace_back(i * 2 + 1);
}
if (abs(Y[i] - X[j]) < D) {
graph[i * 2].emplace_back(j * 2);
graph[j * 2 + 1].emplace_back(i * 2 + 1);
rev[i * 2 + 1].emplace_back(j * 2 + 1);
rev[j * 2].emplace_back(i * 2);
}
if (abs(Y[i] - Y[j]) < D) {
graph[i * 2].emplace_back(j * 2 + 1);
graph[j * 2].emplace_back(i * 2 + 1);
rev[i * 2 + 1].emplace_back(j * 2);
rev[j * 2 + 1].emplace_back(i * 2);
}
}
}
vector<int> vs;
vector<bool> used(N, false);
auto dfs = [&](auto &&self, int cur) -> void {
used[cur] = true;
for (int nxt : graph[cur]) {
if (!used[nxt])
self(self, nxt);
}
vs.emplace_back(cur);
};
for (int v = 0; v < N * 2; ++v) {
if (!used[v])
dfs(dfs, v);
}
reverse(vs.begin(), vs.end());
vector<int> scc_id(N * 2, -1);
int K = 0;
auto rdfs = [&](auto &&self, int cur) -> void {
scc_id[cur] = K;
for (int nxt : rev[cur]) {
if (scc_id[nxt] == -1)
self(self, nxt);
}
};
for (int v : vs) {
if (scc_id[v] == -1) {
rdfs(rdfs, v);
++K;
}
}
vector<bool> ans(N);
for (int i = 0; i < N; ++i) {
if (scc_id[i * 2] == scc_id[i * 2 + 1]) {
cout << "No\n";
return 0;
}
ans[i] = scc_id[i * 2] < scc_id[i * 2 + 1];
}
cout << "Yes\n";
for (int i = 0; i < N; ++i)
cout << ((ans[i] ? X[i] : Y[i])) << '\n';
} | #include <algorithm>
#include <iostream>
#include <vector>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int N, D;
cin >> N >> D;
vector<int> X(N), Y(N);
for (int i = 0; i < N; ++i)
cin >> X[i] >> Y[i];
vector<vector<int>> graph(N * 2), rev(N * 2);
for (int i = 0; i < N; ++i) {
for (int j = 0; j < i; ++j) {
if (abs(X[i] - X[j]) < D) {
graph[i * 2 + 1].emplace_back(j * 2);
graph[j * 2 + 1].emplace_back(i * 2);
rev[i * 2].emplace_back(j * 2 + 1);
rev[j * 2].emplace_back(i * 2 + 1);
}
if (abs(X[i] - Y[j]) < D) {
graph[i * 2 + 1].emplace_back(j * 2 + 1);
graph[j * 2].emplace_back(i * 2);
rev[i * 2].emplace_back(j * 2);
rev[j * 2 + 1].emplace_back(i * 2 + 1);
}
if (abs(Y[i] - X[j]) < D) {
graph[i * 2].emplace_back(j * 2);
graph[j * 2 + 1].emplace_back(i * 2 + 1);
rev[i * 2 + 1].emplace_back(j * 2 + 1);
rev[j * 2].emplace_back(i * 2);
}
if (abs(Y[i] - Y[j]) < D) {
graph[i * 2].emplace_back(j * 2 + 1);
graph[j * 2].emplace_back(i * 2 + 1);
rev[i * 2 + 1].emplace_back(j * 2);
rev[j * 2 + 1].emplace_back(i * 2);
}
}
}
vector<int> vs;
vector<bool> used(N * 2, false);
auto dfs = [&](auto &&self, int cur) -> void {
used[cur] = true;
for (int nxt : graph[cur]) {
if (!used[nxt])
self(self, nxt);
}
vs.emplace_back(cur);
};
for (int v = 0; v < N * 2; ++v) {
if (!used[v])
dfs(dfs, v);
}
reverse(vs.begin(), vs.end());
vector<int> scc_id(N * 2, -1);
int K = 0;
auto rdfs = [&](auto &&self, int cur) -> void {
scc_id[cur] = K;
for (int nxt : rev[cur]) {
if (scc_id[nxt] == -1)
self(self, nxt);
}
};
for (int v : vs) {
if (scc_id[v] == -1) {
rdfs(rdfs, v);
++K;
}
}
vector<bool> ans(N);
for (int i = 0; i < N; ++i) {
if (scc_id[i * 2] == scc_id[i * 2 + 1]) {
cout << "No\n";
return 0;
}
ans[i] = scc_id[i * 2] < scc_id[i * 2 + 1];
}
cout << "Yes\n";
for (int i = 0; i < N; ++i)
cout << ((ans[i] ? X[i] : Y[i])) << '\n';
} | replace | 46 | 47 | 46 | 47 | 0 | |
p02565 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (ll i = 0; i < n; i++)
#define repl(i, l, r) for (ll i = (l); i < (r); i++)
#define per(i, n) for (ll i = n - 1; i >= 0; i--)
#define perl(i, r, l) for (ll i = r - 1; i >= l; i--)
#define fi first
#define se second
#define pb push_back
#define ins insert
#define pqueue(x) priority_queue<x, vector<x>, greater<x>>
#define all(x) (x).begin(), (x).end()
#define CST(x) cout << fixed << setprecision(x)
#define vtpl(x, y, z) vector<tuple<x, y, z>>
#define rev(x) reverse(x);
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vector<ll>>;
using pl = pair<ll, ll>;
using vpl = vector<pl>;
using vvpl = vector<vpl>;
const ll MOD = 1000000007;
const ll MOD9 = 998244353;
const int inf = 1e9 + 10;
const ll INF = 4e18;
const ll dy[8] = {1, 0, -1, 0, 1, 1, -1, -1};
const ll dx[8] = {0, -1, 0, 1, 1, -1, 1, -1};
template <class T> inline bool chmin(T &a, T b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template <class T> inline bool chmax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
struct SCC {
int n;
vector<vector<int>> g, rg;
vector<int> vs, cmp;
vector<bool> used;
SCC(int _n) {
n = _n;
g = vector<vector<int>>(n);
rg = g;
cmp = vector<int>(n);
used = vector<bool>(n);
}
void add_edge(int f, int t) {
g[f].push_back(t);
rg[t].push_back(f);
}
int init() {
rep(i, n) if (!used[i]) dfs(i);
int k = 0;
used = vector<bool>(n, false);
per(i, n) {
if (!used[vs[i]]) {
rdfs(vs[i], k);
k++;
}
}
return k;
}
private:
void dfs(int v) {
used[v] = true;
rep(i, g[v].size()) {
if (!used[g[v][i]])
dfs(g[v][i]);
}
vs.push_back(v);
}
void rdfs(int v, int k) {
used[v] = true;
cmp[v] = k;
rep(i, rg[v].size()) {
if (!used[rg[v][i]]) {
rdfs(rg[v][i], k);
}
}
}
};
struct twoSAT {
vector<bool> ans;
twoSAT(int _n) : n(_n), graph(2 * n), ans(n) {}
void add_edge(int i, bool x, int j, bool y) { // i=>j;
if (!x)
i += n;
if (!y)
j += n;
graph.add_edge((i + n) % (2 * n), j);
graph.add_edge((j + n) % (2 * n), i);
}
bool exe() {
graph.init();
rep(i, n) {
if (graph.cmp[i] == graph.cmp[i + n])
return false;
else if (graph.cmp[i] > graph.cmp[i + n])
ans[i] = true;
else
ans[i] = false;
}
return true;
}
private:
int n;
SCC graph;
};
int main() {
ll n, d;
cin >> n >> d;
twoSAT g(n);
vl x(n), y(n);
rep(i, n) cin >> x[i] >> y[i];
rep(i, n) {
repl(j, i + 1, n) {
if (abs(x[i] - x[j]) < d) {
g.add_edge(i, 0, j, 0);
}
if (abs(x[i] - y[j]) < d) {
g.add_edge(i, 0, j, 1);
}
if (abs(y[i] - x[j]) < d) {
g.add_edge(i, 1, j, 0);
}
if (abs(y[i] - y[j]) < d) {
g.add_edge(i, 1, j, 1);
}
}
}
if (g.exe()) {
cout << "Yes" << endl;
rep(i, n) {
if (g.ans[i])
cout << x[i] << endl;
else
cout << y[i] << endl;
}
} else {
cout << "No" << endl;
}
}
| #include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (ll i = 0; i < n; i++)
#define repl(i, l, r) for (ll i = (l); i < (r); i++)
#define per(i, n) for (ll i = n - 1; i >= 0; i--)
#define perl(i, r, l) for (ll i = r - 1; i >= l; i--)
#define fi first
#define se second
#define pb push_back
#define ins insert
#define pqueue(x) priority_queue<x, vector<x>, greater<x>>
#define all(x) (x).begin(), (x).end()
#define CST(x) cout << fixed << setprecision(x)
#define vtpl(x, y, z) vector<tuple<x, y, z>>
#define rev(x) reverse(x);
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vector<ll>>;
using pl = pair<ll, ll>;
using vpl = vector<pl>;
using vvpl = vector<vpl>;
const ll MOD = 1000000007;
const ll MOD9 = 998244353;
const int inf = 1e9 + 10;
const ll INF = 4e18;
const ll dy[8] = {1, 0, -1, 0, 1, 1, -1, -1};
const ll dx[8] = {0, -1, 0, 1, 1, -1, 1, -1};
template <class T> inline bool chmin(T &a, T b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template <class T> inline bool chmax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
struct SCC {
int n;
vector<vector<int>> g, rg;
vector<int> vs, cmp;
vector<bool> used;
SCC(int _n) {
n = _n;
g = vector<vector<int>>(n);
rg = g;
cmp = vector<int>(n);
used = vector<bool>(n);
}
void add_edge(int f, int t) {
g[f].push_back(t);
rg[t].push_back(f);
}
int init() {
rep(i, n) if (!used[i]) dfs(i);
int k = 0;
used = vector<bool>(n, false);
per(i, n) {
if (!used[vs[i]]) {
rdfs(vs[i], k);
k++;
}
}
return k;
}
private:
void dfs(int v) {
used[v] = true;
rep(i, g[v].size()) {
if (!used[g[v][i]])
dfs(g[v][i]);
}
vs.push_back(v);
}
void rdfs(int v, int k) {
used[v] = true;
cmp[v] = k;
rep(i, rg[v].size()) {
if (!used[rg[v][i]]) {
rdfs(rg[v][i], k);
}
}
}
};
struct twoSAT {
vector<bool> ans;
twoSAT(int _n) : n(_n), graph(2 * _n), ans(_n) {}
void add_edge(int i, bool x, int j, bool y) { // i=>j;
if (!x)
i += n;
if (!y)
j += n;
graph.add_edge((i + n) % (2 * n), j);
graph.add_edge((j + n) % (2 * n), i);
}
bool exe() {
graph.init();
rep(i, n) {
if (graph.cmp[i] == graph.cmp[i + n])
return false;
else if (graph.cmp[i] > graph.cmp[i + n])
ans[i] = true;
else
ans[i] = false;
}
return true;
}
private:
int n;
SCC graph;
};
int main() {
ll n, d;
cin >> n >> d;
twoSAT g(n);
vl x(n), y(n);
rep(i, n) cin >> x[i] >> y[i];
rep(i, n) {
repl(j, i + 1, n) {
if (abs(x[i] - x[j]) < d) {
g.add_edge(i, 0, j, 0);
}
if (abs(x[i] - y[j]) < d) {
g.add_edge(i, 0, j, 1);
}
if (abs(y[i] - x[j]) < d) {
g.add_edge(i, 1, j, 0);
}
if (abs(y[i] - y[j]) < d) {
g.add_edge(i, 1, j, 1);
}
}
}
if (g.exe()) {
cout << "Yes" << endl;
rep(i, n) {
if (g.ans[i])
cout << x[i] << endl;
else
cout << y[i] << endl;
}
} else {
cout << "No" << endl;
}
}
| replace | 93 | 94 | 93 | 94 | -11 | |
p02566 | C++ | Runtime Error | #pragma region header
#include <bits/stdc++.h>
#define int long long
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
#define mp make_pair
#define rep1(i, n) for (decltype(+n) i = 0; i < (n); i++)
#define rrep1(i, n) for (auto i = n - 1; i > static_cast<decltype(i)>(-1); i--)
#define rep2(i, a, b) for (auto i = (a); i < (b); i++)
#define rrep2(i, a, b) for (auto i = b - 1; i >= a; i--)
#define GET_MACRO(_1, _2, _3, NAME, ...) NAME
#define rep(...) GET_MACRO(__VA_ARGS__, rep2, rep1)(__VA_ARGS__)
#define rrep(...) GET_MACRO(__VA_ARGS__, rrep2, rrep1)(__VA_ARGS__)
#define each(i, a) for (auto &&i : (a))
using namespace std;
using ld = long double;
using vi = vector<int>;
using vvi = vector<vi>;
using vs = vector<string>;
using vvs = vector<vs>;
using vd = vector<ld>;
using vvd = vector<vd>;
using vb = vector<bool>;
using vvb = vector<vb>;
using pii = pair<int, int>;
using vp = vector<pii>;
using vvp = vector<vp>;
using mii = map<int, int>;
using vm = vector<mii>;
using vvm = vector<vm>;
template <class T, class U> using umap = unordered_map<T, U>;
using umii = umap<int, int>;
using seti = set<int>;
template <class T> using uset = unordered_set<T>;
using useti = uset<int>;
template <class T> using less_queue = priority_queue<T>;
template <class T>
using greater_queue = priority_queue<T, vector<T>, greater<T>>;
using int128 = __int128_t;
ostream &operator<<(ostream &dest, int128 value) {
ostream::sentry s(dest);
if (s) {
int128 tmp = value < 0 ? -value : value;
char buffer[128];
char *d = end(buffer);
do {
--d;
*d = "0123456789"[tmp % 10];
tmp /= 10;
} while (tmp != 0);
if (value < 0) {
--d;
*d = '-';
}
int len = end(buffer) - d;
if (dest.rdbuf()->sputn(d, len) != len) {
dest.setstate(ios_base::badbit);
}
}
return dest;
}
const int INF = 1e18;
const ld EPS = 1e-10;
template <class T> void SORT(T &a) { stable_sort(all(a)); }
template <class T> void RSORT(T &a) { stable_sort(rall(a)); }
template <class T> void rev(T &a) { reverse(all(a)); }
template <class T> void uniq(T &a) { a.erase(unique(all(a)), end(a)); }
template <class T> auto min_of(const T &a) { return *min_element(all(a)); }
template <class T> auto max_of(const T &a) { return *max_element(all(a)); }
template <class T> T sum_of(const vector<T> &a) {
return accumulate(all(a), (T)0);
}
template <class T, class U> int count_of(const T &a, const U &i) {
return count(all(a), i);
}
template <class T> bool has(const vector<T> &a, const T &i) {
return find(all(a), i) != a.end();
}
bool has(const string &a, const char &i) { return find(all(a), i) != a.end(); }
template <class T> bool has(const set<T> &a, const T &i) {
return a.find(i) != a.end();
}
template <class T, class U> bool has(const map<T, U> &a, const T &i) {
return a.find(i) != a.end();
}
template <class T, class U> bool has(const umap<T, U> &a, const T &i) {
return a.find(i) != a.end();
}
template <class T> int sz(const T &a) { return a.size(); };
template <class T> void COUT(const T &x) { cout << x << endl; }
template <class T, class U> void COUT(const T &x, const U &y) {
cout << x << ' ' << y << endl;
}
template <class T, class U, class V>
void COUT(const T &x, const U &y, const V &z) {
cout << x << ' ' << y << ' ' << z << endl;
}
template <class T> void CSP(const T &x) { cout << x << ' '; }
template <class T> void CVEC(const T &v) {
int c = v.size() - 1;
for (int i = 0; i < c; i++)
cout << v[i] << ' ';
if (c > -1)
cout << v[c];
cout << endl;
}
template <class T> bool amin(T &a, const T &b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template <class T> bool amax(T &a, const T &b) {
if (a < b) {
a = b;
return true;
}
return false;
}
constexpr int lshift(const int &x) noexcept { return 1ll << x; }
constexpr int popcount(const unsigned int &x) noexcept {
return __builtin_popcountll(x);
}
constexpr int least1(const unsigned int &x) noexcept {
return __builtin_ffsll(x);
}
constexpr int ceil_div(const int &x, const int &y) noexcept {
return (x + y - 1) / y;
}
#pragma endregion header
namespace internal {
vector<int> sa_naive(const vector<int> &s) {
int n = (int)(s.size());
vector<int> sa(n);
iota(sa.begin(), sa.end(), 0);
sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
vector<int> sa_doubling(const vector<int> &s) {
int n = (int)(s.size());
vector<int> sa(n), rnk = s, tmp(n);
iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++)
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
swap(tmp, rnk);
}
return sa;
}
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
vector<int> sa_is(const vector<int> &s, int upper) {
int n = (int)(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1])
return {0, 1};
else
return {1, 0};
}
if (n < THRESHOLD_NAIVE)
return sa_naive(s);
if (n < THRESHOLD_DOUBLING)
return sa_doubling(s);
vector<int> sa(n);
vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--)
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++)
sum_l[s[i] + ls[i]]++;
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const vector<int> &lms) {
fill(sa.begin(), sa.end(), -1);
vector<int> buf(upper + 1);
copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms)
if (d != n)
sa[buf[s[d]]++] = d;
copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1])
sa[buf[s[v - 1]]++] = v - 1;
}
copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1])
sa[--buf[s[v - 1] + 1]] = v - 1;
}
};
vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++)
if (!ls[i - 1] && ls[i])
lms_map[i] = m++;
vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++)
if (!ls[i - 1] && ls[i])
lms.push_back(i);
induce(lms);
if (m) {
vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa)
if (lms_map[v] != -1)
sorted_lms.push_back(v);
vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r)
same = false;
else {
while (l < end_l && s[l] == s[r]) {
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++)
sorted_lms[i] = lms[rec_sa[i]];
induce(sorted_lms);
}
return sa;
}
} // namespace internal
vector<int> suffix_array(const vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s)
assert(0 <= d && d <= upper);
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> vector<int> suffix_array(const vector<T> &s) {
int n = (int)(s.size());
vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
vector<int> suffix_array(const string &s) {
int n = (int)(s.size());
vector<int> s2(n);
for (int i = 0; i < n; i++)
s2[i] = s[i];
return internal::sa_is(s2, 255);
}
template <class T>
vector<int> lcp_array(const vector<T> &s, const vector<int> &sa) {
int n = (int)(s.size());
assert(n >= 1);
vector<int> rnk(n);
for (int i = 0; i < n; i++)
rnk[sa[i]] = i;
vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++)
if (s[j + h] != s[i + h])
break;
lcp[rnk[i] - 1] = h;
}
return lcp;
}
vector<int> lcp_array(const string &s, const vector<int> &sa) {
int n = (int)(s.size());
vector<int> s2(n);
for (int i = 0; i < n; i++)
s2[i] = s[i];
return lcp_array(s2, sa);
}
void solve(string S) {
int N = sz(S);
vi suf = suffix_array(S), lcp = lcp_array(S, suf);
int ans = N - suf[0];
rep(i, N - 1) ans += N - suf[i + 1] - lcp[i];
COUT(ans);
}
#pragma region main
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cout << fixed << setprecision(15);
string S;
cin >> S;
solve(S);
}
#pragma endregion main
| #pragma region header
#include <bits/stdc++.h>
#define int long long
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
#define mp make_pair
#define rep1(i, n) for (decltype(+n) i = 0; i < (n); i++)
#define rrep1(i, n) for (auto i = n - 1; i > static_cast<decltype(i)>(-1); i--)
#define rep2(i, a, b) for (auto i = (a); i < (b); i++)
#define rrep2(i, a, b) for (auto i = b - 1; i >= a; i--)
#define GET_MACRO(_1, _2, _3, NAME, ...) NAME
#define rep(...) GET_MACRO(__VA_ARGS__, rep2, rep1)(__VA_ARGS__)
#define rrep(...) GET_MACRO(__VA_ARGS__, rrep2, rrep1)(__VA_ARGS__)
#define each(i, a) for (auto &&i : (a))
using namespace std;
using ld = long double;
using vi = vector<int>;
using vvi = vector<vi>;
using vs = vector<string>;
using vvs = vector<vs>;
using vd = vector<ld>;
using vvd = vector<vd>;
using vb = vector<bool>;
using vvb = vector<vb>;
using pii = pair<int, int>;
using vp = vector<pii>;
using vvp = vector<vp>;
using mii = map<int, int>;
using vm = vector<mii>;
using vvm = vector<vm>;
template <class T, class U> using umap = unordered_map<T, U>;
using umii = umap<int, int>;
using seti = set<int>;
template <class T> using uset = unordered_set<T>;
using useti = uset<int>;
template <class T> using less_queue = priority_queue<T>;
template <class T>
using greater_queue = priority_queue<T, vector<T>, greater<T>>;
using int128 = __int128_t;
ostream &operator<<(ostream &dest, int128 value) {
ostream::sentry s(dest);
if (s) {
int128 tmp = value < 0 ? -value : value;
char buffer[128];
char *d = end(buffer);
do {
--d;
*d = "0123456789"[tmp % 10];
tmp /= 10;
} while (tmp != 0);
if (value < 0) {
--d;
*d = '-';
}
int len = end(buffer) - d;
if (dest.rdbuf()->sputn(d, len) != len) {
dest.setstate(ios_base::badbit);
}
}
return dest;
}
const int INF = 1e18;
const ld EPS = 1e-10;
template <class T> void SORT(T &a) { stable_sort(all(a)); }
template <class T> void RSORT(T &a) { stable_sort(rall(a)); }
template <class T> void rev(T &a) { reverse(all(a)); }
template <class T> void uniq(T &a) { a.erase(unique(all(a)), end(a)); }
template <class T> auto min_of(const T &a) { return *min_element(all(a)); }
template <class T> auto max_of(const T &a) { return *max_element(all(a)); }
template <class T> T sum_of(const vector<T> &a) {
return accumulate(all(a), (T)0);
}
template <class T, class U> int count_of(const T &a, const U &i) {
return count(all(a), i);
}
template <class T> bool has(const vector<T> &a, const T &i) {
return find(all(a), i) != a.end();
}
bool has(const string &a, const char &i) { return find(all(a), i) != a.end(); }
template <class T> bool has(const set<T> &a, const T &i) {
return a.find(i) != a.end();
}
template <class T, class U> bool has(const map<T, U> &a, const T &i) {
return a.find(i) != a.end();
}
template <class T, class U> bool has(const umap<T, U> &a, const T &i) {
return a.find(i) != a.end();
}
template <class T> int sz(const T &a) { return a.size(); };
template <class T> void COUT(const T &x) { cout << x << endl; }
template <class T, class U> void COUT(const T &x, const U &y) {
cout << x << ' ' << y << endl;
}
template <class T, class U, class V>
void COUT(const T &x, const U &y, const V &z) {
cout << x << ' ' << y << ' ' << z << endl;
}
template <class T> void CSP(const T &x) { cout << x << ' '; }
template <class T> void CVEC(const T &v) {
int c = v.size() - 1;
for (int i = 0; i < c; i++)
cout << v[i] << ' ';
if (c > -1)
cout << v[c];
cout << endl;
}
template <class T> bool amin(T &a, const T &b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template <class T> bool amax(T &a, const T &b) {
if (a < b) {
a = b;
return true;
}
return false;
}
constexpr int lshift(const int &x) noexcept { return 1ll << x; }
constexpr int popcount(const unsigned int &x) noexcept {
return __builtin_popcountll(x);
}
constexpr int least1(const unsigned int &x) noexcept {
return __builtin_ffsll(x);
}
constexpr int ceil_div(const int &x, const int &y) noexcept {
return (x + y - 1) / y;
}
#pragma endregion header
namespace internal {
vector<int> sa_naive(const vector<int> &s) {
int n = (int)(s.size());
vector<int> sa(n);
iota(sa.begin(), sa.end(), 0);
sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
vector<int> sa_doubling(const vector<int> &s) {
int n = (int)(s.size());
vector<int> sa(n), rnk = s, tmp(n);
iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++)
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
swap(tmp, rnk);
}
return sa;
}
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
vector<int> sa_is(const vector<int> &s, int upper) {
int n = (int)(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1])
return {0, 1};
else
return {1, 0};
}
if (n < THRESHOLD_NAIVE)
return sa_naive(s);
if (n < THRESHOLD_DOUBLING)
return sa_doubling(s);
vector<int> sa(n);
vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--)
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i])
sum_s[s[i]]++;
else
sum_l[s[i] + 1]++;
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const vector<int> &lms) {
fill(sa.begin(), sa.end(), -1);
vector<int> buf(upper + 1);
copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms)
if (d != n)
sa[buf[s[d]]++] = d;
copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1])
sa[buf[s[v - 1]]++] = v - 1;
}
copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1])
sa[--buf[s[v - 1] + 1]] = v - 1;
}
};
vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++)
if (!ls[i - 1] && ls[i])
lms_map[i] = m++;
vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++)
if (!ls[i - 1] && ls[i])
lms.push_back(i);
induce(lms);
if (m) {
vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa)
if (lms_map[v] != -1)
sorted_lms.push_back(v);
vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r)
same = false;
else {
while (l < end_l && s[l] == s[r]) {
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++)
sorted_lms[i] = lms[rec_sa[i]];
induce(sorted_lms);
}
return sa;
}
} // namespace internal
vector<int> suffix_array(const vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s)
assert(0 <= d && d <= upper);
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> vector<int> suffix_array(const vector<T> &s) {
int n = (int)(s.size());
vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
vector<int> suffix_array(const string &s) {
int n = (int)(s.size());
vector<int> s2(n);
for (int i = 0; i < n; i++)
s2[i] = s[i];
return internal::sa_is(s2, 255);
}
template <class T>
vector<int> lcp_array(const vector<T> &s, const vector<int> &sa) {
int n = (int)(s.size());
assert(n >= 1);
vector<int> rnk(n);
for (int i = 0; i < n; i++)
rnk[sa[i]] = i;
vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++)
if (s[j + h] != s[i + h])
break;
lcp[rnk[i] - 1] = h;
}
return lcp;
}
vector<int> lcp_array(const string &s, const vector<int> &sa) {
int n = (int)(s.size());
vector<int> s2(n);
for (int i = 0; i < n; i++)
s2[i] = s[i];
return lcp_array(s2, sa);
}
void solve(string S) {
int N = sz(S);
vi suf = suffix_array(S), lcp = lcp_array(S, suf);
int ans = N - suf[0];
rep(i, N - 1) ans += N - suf[i + 1] - lcp[i];
COUT(ans);
}
#pragma region main
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cout << fixed << setprecision(15);
string S;
cin >> S;
solve(S);
}
#pragma endregion main
| replace | 201 | 203 | 201 | 207 | 0 | |
p02567 | C++ | Runtime Error | /*
#include <boost/multiprecision/cpp_dec_float.hpp>
#include <boost/multiprecision/cpp_int.hpp>
#include <boost/rational.hpp>
*/
// #include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
// using namespace atcoder;
#define _GLIBCXX_DEBUG
#define rep(i, t) for (ll i = (ll)(0); i < (ll)(t); i++)
#define rep2(i, s, t) for (ll i = (ll)(s); i < (ll)(t); i++)
#define rep3(i, t) for (ll i = (ll)(1); i <= (ll)(t); i++)
#define rep4(i, s, t) for (ll i = (ll)(s); i <= (ll)(t); i++)
#define repr(i, t) for (ll i = (t - 1); i >= (0); i--)
#define repr2(i, s, t) for (ll i = (t - 1); i >= (s); i--)
#define repr3(i, t) for (ll i = (t); i >= (1); i--)
#define repr4(i, s, t) for (ll i = (t); i >= (s); i--)
using ll = long long;
using ld = long double;
using ull = unsigned long long;
using uint = unsigned;
using pcc = pair<char, char>;
using pll = pair<ll, ll>;
using pii = pair<int, int>;
using pdd = pair<double, double>;
using tuplis = array<ll, 3>;
template <class T> using pq = priority_queue<T, vector<T>, greater<T>>;
inline const ll LINF = 1e18;
inline const ll MINF = 1e15;
inline const int INF = 1e9 + 1e5;
inline const int mod = 1000000007;
// inline const int mod=998244353;
inline const ld DINF = numeric_limits<ld>::infinity();
inline const ld EPS = 1e-9;
inline const ld PI = acos(-1);
// const ll dx[] ={0,1,0,-1,1,-1,1,-1};
// const ll dy[] ={1,0,-1,0,1,1,-1,-1};
inline const bool ingrid(const int i, const int j, const int H, const int W) {
return i >= 0 && i < H && j >= 0 && j < W;
}
inline const ll dx[] = {0, 1, 0, -1};
inline const ll dy[] = {1, 0, -1, 0};
inline const bool is_low(char c) { return ('a' <= c) && (c <= 'z'); }
inline const bool is_upp(char c) { return ('A' <= c) && (c <= 'Z'); }
#define each1(i, a) for (auto &&i : a)
#define each2(x, y, a) for (auto &&[x, y] : a)
#define each3(x, y, z, a) for (auto &&[x, y, z] : a)
#define rrep(n) for (ll i = (n); i--;)
#define stlen(s) ll s.size() - 1
#define all(v) begin(v), end(v)
#define range(v, a) begin(v), begin(v) + a
#define range2(v, a, b) begin(v) + a, begin(v) + b
#define range3(v, a) begin(v) + 1, begin(v) + a + 1
#define range4(v, a, b) begin(v) + a + 1, begin(v) + b + 1
#define allr(v) rbegin(v), v.rend(v)
#define ranger(v, a) rbegin(v), rbegin(v) + a
#define ranger2(v, a, b) rbegin(v) + a, rbegin(v) + b
#define ranger3(v, a) rbegin(v) + 1, rbegin(v) + a + 1
#define ranger4(v, a, b) rbegin(v) + a + 1, rbegin(v) + b + 1
#define cout(n) cout << std::fixed << std::setprecision(n)
// #define sum(...) accumulate(all(__VA_ARGS__),0LL)
#define dsum(...) accumulate(all(__VA_ARGS__), 0.0L)
#define elif else if
#define unless(a) if (!(a))
#define mp make_pair
#define mt make_tuple
#define INT(...) \
int __VA_ARGS__; \
in(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
in(__VA_ARGS__)
#define ULL(...) \
ull __VA_ARGS__; \
in(__VA_ARGS__)
#define STR(...) \
string __VA_ARGS__; \
in(__VA_ARGS__)
#define CHR(...) \
char __VA_ARGS__; \
in(__VA_ARGS__)
#define DBL(...) \
double __VA_ARGS__; \
in(__VA_ARGS__)
#define LD(...) \
ld __VA_ARGS__; \
in(__VA_ARGS__)
#define Sort(a) sort(all(a))
#define Rev(a) reverse(all(a))
#define Uniq(a) \
sort(all(a)); \
a.erase(unique(all(a)), end(a));
#define vec(type, name, ...) vector<type> name(__VA_ARGS__)
#define VEC(type, name, size) \
vector<type> name(size); \
in(name)
#define vv(type, name, h, ...) \
vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define VV(type, name, h, w) \
vector<vector<type>> name(h, vector<type>(w)); \
in(name)
template <class T> inline const auto min(const T &a) {
return *min_element(all(a));
}
template <class T> inline const auto max(const T &a) {
return *max_element(all(a));
}
inline const ll popcnt(const ull a) { return __builtin_popcountll(a); }
inline const ll gcd(ll a, ll b) {
while (b) {
ll c = b;
b = a % b;
a = c;
}
return a;
}
inline const ll lcm(ll a, ll b) {
unless(a && b) return 0;
return a * b / gcd(a, b);
}
inline const ll intpow(ll a, ll b) {
ll ans = 1;
while (b) {
if (b & 1)
ans *= a;
a *= a;
b /= 2;
}
return ans;
}
inline const ll modpow(ll a, ll b, ll p = mod) {
ll ans = 1;
while (b) {
if (b & 1)
(ans *= a) %= p;
(a *= a) %= p;
b /= 2;
}
return ans;
}
template <class T, class U> inline const bool chmin(T &a, const U &b) {
if (a > b) {
a = b;
return 1;
}
return 0;
}
template <class T, class U> inline const bool chmax(T &a, const U &b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
inline const vector<ll> iota(const ll n) {
vector<ll> a(n);
iota(all(a), 0);
return a;
}
inline const vector<pll> factor(ull x) {
vector<pll> ans;
for (ull i = 2; i * i <= x; i++)
if (x % i == 0) {
ans.push_back({i, 1});
while ((x /= i) % i == 0)
ans.back().second++;
}
if (x != 1)
ans.push_back({x, 1});
return ans;
}
inline const map<ll, ll> factor_map(ull x) {
map<ll, ll> ans;
for (ull i = 2; i * i <= x; i++)
if (x % i == 0) {
ans[i] = 1;
while ((x /= i) % i == 0)
ans[i]++;
}
if (x != 1)
ans[x] = 1;
return ans;
}
inline const vector<ll> divisor(ull x) {
vector<ll> ans;
for (ull i = 2; i * i <= x; i++)
if (x % i == 0)
ans.push_back(i);
rrep(ans.size() - (ans.back() * ans.back() == x)) ans.push_back(x / ans[i]);
return ans;
}
inline const int scan() { return getchar(); }
inline const void scan(int &a) { scanf("%d", &a); }
inline const void scan(unsigned &a) { scanf("%u", &a); }
inline const void scan(long &a) { scanf("%ld", &a); }
inline const void scan(long long &a) { scanf("%lld", &a); }
inline const void scan(char &a) {
do {
a = getchar();
} while (a == ' ' || a == '\n');
}
inline const void scan(float &a) { scanf("%f", &a); }
inline const void scan(double &a) { scanf("%lf", &a); }
inline const void scan(long double &a) { scanf("%Lf", &a); }
inline const void scan(string &a) { cin >> a; }
template <class T> inline const void scan(vector<T> &a) {
for (auto &&i : a)
scan(i);
}
template <class T, size_t size> inline const void scan(array<T, size> &a) {
for (auto &&i : a)
scan(i);
}
template <class T, class L> inline const void scan(pair<T, L> &p) {
scan(p.first);
scan(p.second);
}
template <class T, size_t size> inline const void scan(T (&a)[size]) {
for (auto &&i : a)
scan(i);
}
inline const void in() {}
template <class Head, class... Tail>
inline const void in(Head &head, Tail &...tail) {
scan(head);
in(tail...);
}
inline const int ctoi(const char c) {
if (c >= 'a' && c <= 'z') {
return c - 'a';
}
if (c >= 'A' && c <= 'Z') {
return c - 'A';
}
if (c >= '0' && c <= '9') {
return c - '0';
}
return -1;
}
inline const void print() { putchar(' '); }
inline const void print(const bool a) { printf("%d", a); }
inline const void print(const int a) { printf("%d", a); }
inline const void print(const unsigned a) { printf("%u", a); }
inline const void print(const long a) { printf("%ld", a); }
inline const void print(const unsigned long long a) { printf("%llu", a); }
inline const void print(const char a) { printf("%c", a); }
inline const void print(const double a) { printf("%.15f", a); }
inline const void print(const long double a) { printf("%.15Lf", a); }
inline const void print(const string &a) {
for (auto &&i : a)
print(i);
}
template <class T> inline const void print(const vector<T> &a) {
if (a.empty())
return;
print(a[0]);
for (auto i = a.begin(); ++i != a.end();) {
putchar(' ');
print(*i);
}
}
template <class T> inline const void print(const deque<T> &a) {
if (a.empty())
return;
print(a[0]);
for (auto i = a.begin(); ++i != a.end();) {
putchar(' ');
print(*i);
}
}
template <class T, size_t size> inline const void print(const T (&a)[size]) {
print(a[0]);
for (auto i = a; ++i != end(a);) {
putchar(' ');
print(*i);
}
}
template <class T> inline const void print(const T &a) { cout << a; }
inline const int out() {
putchar('\n');
return 0;
}
template <class T> inline const int out(const T &t) {
print(t);
putchar('\n');
return 0;
}
template <class Head, class... Tail>
inline const int out(const Head &head, const Tail &...tail) {
print(head);
putchar(' ');
out(tail...);
return 0;
}
inline const int first(const bool i) { return out(i ? "first" : "second"); }
inline const int yes(const bool i) { return out(i ? "yes" : "no"); }
inline const int Yes(const bool i) { return out(i ? "Yes" : "No"); }
inline const int YES(const bool i) { return out(i ? "YES" : "NO"); }
inline const int possible(const bool i) {
return out(i ? "possible" : "impossible");
}
inline const int Possible(const bool i) {
return out(i ? "Possible" : "Impossible");
}
inline const int POSSIBLE(const bool i) {
return out(i ? "POSSIBLE" : "IMPOSSIBLE");
}
using Graph = vector<vector<int>>;
using Graphw = vector<vector<pair<ll, ll>>>;
using mat = vector<vector<ll>>;
using vec = vector<ll>;
/*
namespace mp = boost::multiprecision;
// 任意長整数型
using Bint = mp::cpp_int;
// 仮数部長が32の浮動小数点数型
using Real32 = mp::number<mp::cpp_dec_float<32>>;
// 仮数部長が1024の浮動小数点数型
using Real1024 = mp::number<mp::cpp_dec_float<1024>>;
// 有理数型
using Rat = boost::rational<Bint>;
*/
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
int op(int a, int b) { return max(a, b); }
int e() { return 0; }
int v;
bool f(int a) { return a < v; }
signed main() {
INT(N, Q);
segtree<int, op, e> seg(N);
rep(i, N) {
INT(A);
seg.set(i, A);
}
vector<int> ans;
rep(i, Q) {
INT(T);
if (T == 1) {
INT(X, V);
X--;
seg.set(X, V);
}
elif (T == 2) {
INT(L, R);
L--;
R--;
ans.push_back(seg.prod(L, R + 1));
}
else {
INT(X, V);
v = V;
X--;
ans.push_back(seg.max_right<f>(X) + 1);
}
}
rep(i, ans.size()) out(ans[i]);
}
| /*
#include <boost/multiprecision/cpp_dec_float.hpp>
#include <boost/multiprecision/cpp_int.hpp>
#include <boost/rational.hpp>
*/
// #include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
// using namespace atcoder;
#define _GLIBCXX_DEBUG
#define rep(i, t) for (ll i = (ll)(0); i < (ll)(t); i++)
#define rep2(i, s, t) for (ll i = (ll)(s); i < (ll)(t); i++)
#define rep3(i, t) for (ll i = (ll)(1); i <= (ll)(t); i++)
#define rep4(i, s, t) for (ll i = (ll)(s); i <= (ll)(t); i++)
#define repr(i, t) for (ll i = (t - 1); i >= (0); i--)
#define repr2(i, s, t) for (ll i = (t - 1); i >= (s); i--)
#define repr3(i, t) for (ll i = (t); i >= (1); i--)
#define repr4(i, s, t) for (ll i = (t); i >= (s); i--)
using ll = long long;
using ld = long double;
using ull = unsigned long long;
using uint = unsigned;
using pcc = pair<char, char>;
using pll = pair<ll, ll>;
using pii = pair<int, int>;
using pdd = pair<double, double>;
using tuplis = array<ll, 3>;
template <class T> using pq = priority_queue<T, vector<T>, greater<T>>;
inline const ll LINF = 1e18;
inline const ll MINF = 1e15;
inline const int INF = 1e9 + 1e5;
inline const int mod = 1000000007;
// inline const int mod=998244353;
inline const ld DINF = numeric_limits<ld>::infinity();
inline const ld EPS = 1e-9;
inline const ld PI = acos(-1);
// const ll dx[] ={0,1,0,-1,1,-1,1,-1};
// const ll dy[] ={1,0,-1,0,1,1,-1,-1};
inline const bool ingrid(const int i, const int j, const int H, const int W) {
return i >= 0 && i < H && j >= 0 && j < W;
}
inline const ll dx[] = {0, 1, 0, -1};
inline const ll dy[] = {1, 0, -1, 0};
inline const bool is_low(char c) { return ('a' <= c) && (c <= 'z'); }
inline const bool is_upp(char c) { return ('A' <= c) && (c <= 'Z'); }
#define each1(i, a) for (auto &&i : a)
#define each2(x, y, a) for (auto &&[x, y] : a)
#define each3(x, y, z, a) for (auto &&[x, y, z] : a)
#define rrep(n) for (ll i = (n); i--;)
#define stlen(s) ll s.size() - 1
#define all(v) begin(v), end(v)
#define range(v, a) begin(v), begin(v) + a
#define range2(v, a, b) begin(v) + a, begin(v) + b
#define range3(v, a) begin(v) + 1, begin(v) + a + 1
#define range4(v, a, b) begin(v) + a + 1, begin(v) + b + 1
#define allr(v) rbegin(v), v.rend(v)
#define ranger(v, a) rbegin(v), rbegin(v) + a
#define ranger2(v, a, b) rbegin(v) + a, rbegin(v) + b
#define ranger3(v, a) rbegin(v) + 1, rbegin(v) + a + 1
#define ranger4(v, a, b) rbegin(v) + a + 1, rbegin(v) + b + 1
#define cout(n) cout << std::fixed << std::setprecision(n)
// #define sum(...) accumulate(all(__VA_ARGS__),0LL)
#define dsum(...) accumulate(all(__VA_ARGS__), 0.0L)
#define elif else if
#define unless(a) if (!(a))
#define mp make_pair
#define mt make_tuple
#define INT(...) \
int __VA_ARGS__; \
in(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
in(__VA_ARGS__)
#define ULL(...) \
ull __VA_ARGS__; \
in(__VA_ARGS__)
#define STR(...) \
string __VA_ARGS__; \
in(__VA_ARGS__)
#define CHR(...) \
char __VA_ARGS__; \
in(__VA_ARGS__)
#define DBL(...) \
double __VA_ARGS__; \
in(__VA_ARGS__)
#define LD(...) \
ld __VA_ARGS__; \
in(__VA_ARGS__)
#define Sort(a) sort(all(a))
#define Rev(a) reverse(all(a))
#define Uniq(a) \
sort(all(a)); \
a.erase(unique(all(a)), end(a));
#define vec(type, name, ...) vector<type> name(__VA_ARGS__)
#define VEC(type, name, size) \
vector<type> name(size); \
in(name)
#define vv(type, name, h, ...) \
vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define VV(type, name, h, w) \
vector<vector<type>> name(h, vector<type>(w)); \
in(name)
template <class T> inline const auto min(const T &a) {
return *min_element(all(a));
}
template <class T> inline const auto max(const T &a) {
return *max_element(all(a));
}
inline const ll popcnt(const ull a) { return __builtin_popcountll(a); }
inline const ll gcd(ll a, ll b) {
while (b) {
ll c = b;
b = a % b;
a = c;
}
return a;
}
inline const ll lcm(ll a, ll b) {
unless(a && b) return 0;
return a * b / gcd(a, b);
}
inline const ll intpow(ll a, ll b) {
ll ans = 1;
while (b) {
if (b & 1)
ans *= a;
a *= a;
b /= 2;
}
return ans;
}
inline const ll modpow(ll a, ll b, ll p = mod) {
ll ans = 1;
while (b) {
if (b & 1)
(ans *= a) %= p;
(a *= a) %= p;
b /= 2;
}
return ans;
}
template <class T, class U> inline const bool chmin(T &a, const U &b) {
if (a > b) {
a = b;
return 1;
}
return 0;
}
template <class T, class U> inline const bool chmax(T &a, const U &b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
inline const vector<ll> iota(const ll n) {
vector<ll> a(n);
iota(all(a), 0);
return a;
}
inline const vector<pll> factor(ull x) {
vector<pll> ans;
for (ull i = 2; i * i <= x; i++)
if (x % i == 0) {
ans.push_back({i, 1});
while ((x /= i) % i == 0)
ans.back().second++;
}
if (x != 1)
ans.push_back({x, 1});
return ans;
}
inline const map<ll, ll> factor_map(ull x) {
map<ll, ll> ans;
for (ull i = 2; i * i <= x; i++)
if (x % i == 0) {
ans[i] = 1;
while ((x /= i) % i == 0)
ans[i]++;
}
if (x != 1)
ans[x] = 1;
return ans;
}
inline const vector<ll> divisor(ull x) {
vector<ll> ans;
for (ull i = 2; i * i <= x; i++)
if (x % i == 0)
ans.push_back(i);
rrep(ans.size() - (ans.back() * ans.back() == x)) ans.push_back(x / ans[i]);
return ans;
}
inline const int scan() { return getchar(); }
inline const void scan(int &a) { scanf("%d", &a); }
inline const void scan(unsigned &a) { scanf("%u", &a); }
inline const void scan(long &a) { scanf("%ld", &a); }
inline const void scan(long long &a) { scanf("%lld", &a); }
inline const void scan(char &a) {
do {
a = getchar();
} while (a == ' ' || a == '\n');
}
inline const void scan(float &a) { scanf("%f", &a); }
inline const void scan(double &a) { scanf("%lf", &a); }
inline const void scan(long double &a) { scanf("%Lf", &a); }
inline const void scan(string &a) { cin >> a; }
template <class T> inline const void scan(vector<T> &a) {
for (auto &&i : a)
scan(i);
}
template <class T, size_t size> inline const void scan(array<T, size> &a) {
for (auto &&i : a)
scan(i);
}
template <class T, class L> inline const void scan(pair<T, L> &p) {
scan(p.first);
scan(p.second);
}
template <class T, size_t size> inline const void scan(T (&a)[size]) {
for (auto &&i : a)
scan(i);
}
inline const void in() {}
template <class Head, class... Tail>
inline const void in(Head &head, Tail &...tail) {
scan(head);
in(tail...);
}
inline const int ctoi(const char c) {
if (c >= 'a' && c <= 'z') {
return c - 'a';
}
if (c >= 'A' && c <= 'Z') {
return c - 'A';
}
if (c >= '0' && c <= '9') {
return c - '0';
}
return -1;
}
inline const void print() { putchar(' '); }
inline const void print(const bool a) { printf("%d", a); }
inline const void print(const int a) { printf("%d", a); }
inline const void print(const unsigned a) { printf("%u", a); }
inline const void print(const long a) { printf("%ld", a); }
inline const void print(const unsigned long long a) { printf("%llu", a); }
inline const void print(const char a) { printf("%c", a); }
inline const void print(const double a) { printf("%.15f", a); }
inline const void print(const long double a) { printf("%.15Lf", a); }
inline const void print(const string &a) {
for (auto &&i : a)
print(i);
}
template <class T> inline const void print(const vector<T> &a) {
if (a.empty())
return;
print(a[0]);
for (auto i = a.begin(); ++i != a.end();) {
putchar(' ');
print(*i);
}
}
template <class T> inline const void print(const deque<T> &a) {
if (a.empty())
return;
print(a[0]);
for (auto i = a.begin(); ++i != a.end();) {
putchar(' ');
print(*i);
}
}
template <class T, size_t size> inline const void print(const T (&a)[size]) {
print(a[0]);
for (auto i = a; ++i != end(a);) {
putchar(' ');
print(*i);
}
}
template <class T> inline const void print(const T &a) { cout << a; }
inline const int out() {
putchar('\n');
return 0;
}
template <class T> inline const int out(const T &t) {
print(t);
putchar('\n');
return 0;
}
template <class Head, class... Tail>
inline const int out(const Head &head, const Tail &...tail) {
print(head);
putchar(' ');
out(tail...);
return 0;
}
inline const int first(const bool i) { return out(i ? "first" : "second"); }
inline const int yes(const bool i) { return out(i ? "yes" : "no"); }
inline const int Yes(const bool i) { return out(i ? "Yes" : "No"); }
inline const int YES(const bool i) { return out(i ? "YES" : "NO"); }
inline const int possible(const bool i) {
return out(i ? "possible" : "impossible");
}
inline const int Possible(const bool i) {
return out(i ? "Possible" : "Impossible");
}
inline const int POSSIBLE(const bool i) {
return out(i ? "POSSIBLE" : "IMPOSSIBLE");
}
using Graph = vector<vector<int>>;
using Graphw = vector<vector<pair<ll, ll>>>;
using mat = vector<vector<ll>>;
using vec = vector<ll>;
/*
namespace mp = boost::multiprecision;
// 任意長整数型
using Bint = mp::cpp_int;
// 仮数部長が32の浮動小数点数型
using Real32 = mp::number<mp::cpp_dec_float<32>>;
// 仮数部長が1024の浮動小数点数型
using Real1024 = mp::number<mp::cpp_dec_float<1024>>;
// 有理数型
using Rat = boost::rational<Bint>;
*/
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
int op(int a, int b) { return max(a, b); }
int e() { return -1; }
int v;
bool f(int a) { return a < v; }
signed main() {
INT(N, Q);
segtree<int, op, e> seg(N);
rep(i, N) {
INT(A);
seg.set(i, A);
}
vector<int> ans;
rep(i, Q) {
INT(T);
if (T == 1) {
INT(X, V);
X--;
seg.set(X, V);
}
elif (T == 2) {
INT(L, R);
L--;
R--;
ans.push_back(seg.prod(L, R + 1));
}
else {
INT(X, V);
v = V;
X--;
ans.push_back(seg.max_right<f>(X) + 1);
}
}
rep(i, ans.size()) out(ans[i]);
}
| replace | 466 | 467 | 466 | 467 | 0 | |
p02567 | C++ | Runtime Error | #line 1 "/workspaces/compro/lib/atcoder/segtree.hpp"
#line 1 "/workspaces/compro/lib/atcoder/internal_bit.hpp"
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#line 5 "/workspaces/compro/lib/atcoder/segtree.hpp"
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#line 1 "/workspaces/compro/lib/template.hpp"
#line 1 "/workspaces/compro/lib/io/vector.hpp"
#include <iostream>
#line 3 "/workspaces/compro/lib/io/vector.hpp"
#ifndef IO_VECTOR
#define IO_VECTOR
template <class T>
std::ostream &operator<<(std::ostream &out, const std::vector<T> &v) {
int size = v.size();
for (int i = 0; i < size; i++) {
std::cout << v[i];
if (i != size - 1)
std::cout << " ";
}
return out;
}
template <class T>
std::istream &operator>>(std::istream &in, std::vector<T> &v) {
for (auto &el : v) {
std::cin >> el;
}
return in;
}
#endif
#line 4 "/workspaces/compro/lib/template.hpp"
#include <bits/stdc++.h>
#define REP(i, n) for (int i = 0; i < n; i++)
#define FOR(i, m, n) for (int i = m; i < n; i++)
#define ALL(v) (v).begin(), (v).end()
#define coutd(n) cout << fixed << setprecision(n)
#define ll long long int
#define vl vector<ll>
#define vi vector<int>
#define MM << " " <<
using namespace std;
template <class T> void say(bool val, T yes, T no) {
cout << (val ? yes : no) << "\n";
}
void say(bool val, string yes = "Yes", string no = "No") {
say<string>(val, yes, no);
}
template <class T> void chmin(T &a, T b) {
if (a > b)
a = b;
}
template <class T> void chmax(T &a, T b) {
if (a < b)
a = b;
}
// C++ 17に完全移行したら消す
// 最大公約数を求める
template <class T> T gcd(T n, T m) { return n ? gcd(m % n, n) : m; }
// 最小公倍数を求める
template <class T> T lcm(T n, T m) {
int g = gcd(n, m);
return n * m / g;
}
// 重複を消す。計算量はO(NlogN)
template <class T> void unique(std::vector<T> &v) {
std::sort(v.begin(), v.end());
v.erase(std::unique(v.begin(), v.end()), v.end());
}
#line 3 "main.cpp"
int op(int a, int b) { return max(a, b); }
int e() { return 0; }
// generated by online-judge-template-generator v4.4.0
// (https://github.com/kmyk/online-judge-template-generator)
int main() {
int n, q;
std::cin >> n >> q;
std::vector<int> a(n);
for (int i = 0; i < n; ++i) {
std::cin >> a[i];
}
atcoder::segtree<int, op, e> seg(a);
for (int i = 0; i < q; ++i) {
int t;
cin >> t;
if (t == 1) {
int x;
int v;
cin >> x >> v;
seg.set(x - 1, v);
} else if (t == 2) {
int l, r;
cin >> l >> r;
l--;
cout << seg.prod(l, r) << endl;
} else {
int x;
int v;
cin >> x >> v;
x--;
cout << seg.max_right(x, [&](int el) { return el < v; }) + 1 << endl;
}
}
return 0;
}
| #line 1 "/workspaces/compro/lib/atcoder/segtree.hpp"
#line 1 "/workspaces/compro/lib/atcoder/internal_bit.hpp"
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#line 5 "/workspaces/compro/lib/atcoder/segtree.hpp"
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#line 1 "/workspaces/compro/lib/template.hpp"
#line 1 "/workspaces/compro/lib/io/vector.hpp"
#include <iostream>
#line 3 "/workspaces/compro/lib/io/vector.hpp"
#ifndef IO_VECTOR
#define IO_VECTOR
template <class T>
std::ostream &operator<<(std::ostream &out, const std::vector<T> &v) {
int size = v.size();
for (int i = 0; i < size; i++) {
std::cout << v[i];
if (i != size - 1)
std::cout << " ";
}
return out;
}
template <class T>
std::istream &operator>>(std::istream &in, std::vector<T> &v) {
for (auto &el : v) {
std::cin >> el;
}
return in;
}
#endif
#line 4 "/workspaces/compro/lib/template.hpp"
#include <bits/stdc++.h>
#define REP(i, n) for (int i = 0; i < n; i++)
#define FOR(i, m, n) for (int i = m; i < n; i++)
#define ALL(v) (v).begin(), (v).end()
#define coutd(n) cout << fixed << setprecision(n)
#define ll long long int
#define vl vector<ll>
#define vi vector<int>
#define MM << " " <<
using namespace std;
template <class T> void say(bool val, T yes, T no) {
cout << (val ? yes : no) << "\n";
}
void say(bool val, string yes = "Yes", string no = "No") {
say<string>(val, yes, no);
}
template <class T> void chmin(T &a, T b) {
if (a > b)
a = b;
}
template <class T> void chmax(T &a, T b) {
if (a < b)
a = b;
}
// C++ 17に完全移行したら消す
// 最大公約数を求める
template <class T> T gcd(T n, T m) { return n ? gcd(m % n, n) : m; }
// 最小公倍数を求める
template <class T> T lcm(T n, T m) {
int g = gcd(n, m);
return n * m / g;
}
// 重複を消す。計算量はO(NlogN)
template <class T> void unique(std::vector<T> &v) {
std::sort(v.begin(), v.end());
v.erase(std::unique(v.begin(), v.end()), v.end());
}
#line 3 "main.cpp"
int op(int a, int b) { return max(a, b); }
int e() { return -1; }
// generated by online-judge-template-generator v4.4.0
// (https://github.com/kmyk/online-judge-template-generator)
int main() {
int n, q;
std::cin >> n >> q;
std::vector<int> a(n);
for (int i = 0; i < n; ++i) {
std::cin >> a[i];
}
atcoder::segtree<int, op, e> seg(a);
for (int i = 0; i < q; ++i) {
int t;
cin >> t;
if (t == 1) {
int x;
int v;
cin >> x >> v;
seg.set(x - 1, v);
} else if (t == 2) {
int l, r;
cin >> l >> r;
l--;
cout << seg.prod(l, r) << endl;
} else {
int x;
int v;
cin >> x >> v;
x--;
cout << seg.max_right(x, [&](int el) { return el < v; }) + 1 << endl;
}
}
return 0;
}
| replace | 238 | 239 | 238 | 239 | 0 | |
p02567 | C++ | Runtime Error | /**
* @FileName a.cpp
* @Author kanpurin
* @Created 2020.09.20 18:40:53
**/
#include "bits/stdc++.h"
using namespace std;
typedef long long ll;
template <class Monoid> struct SegmentTree {
private:
using Func = std::function<Monoid(Monoid, Monoid)>;
Func F;
Monoid UNITY;
int n;
std::vector<Monoid> node;
public:
SegmentTree() {}
SegmentTree(const std::vector<Monoid> &v, const Func f, const Monoid &unity) {
F = f;
UNITY = unity;
int sz = v.size();
n = 1;
while (n < sz)
n <<= 1;
node.resize(n * 2 - 1, UNITY);
for (int i = 0; i < sz; i++)
node[i + n - 1] = v[i];
build();
}
SegmentTree(int m, const Monoid &val, const Func f, const Monoid &unity) {
F = f;
UNITY = unity;
n = 1;
while (n < m)
n <<= 1;
node.resize(n * 2 - 1, UNITY);
if (val != UNITY) {
for (int i = 0; i < m; i++)
node[i + n - 1] = val;
build();
}
}
void set(int k, const Monoid &x) { node[n + k - 1] = x; }
void build() {
for (int i = n - 2; i >= 0; i--)
node[i] = F(node[2 * i + 1], node[2 * i + 2]);
}
void update_query(int x, const Monoid &val) {
if (x >= n || x < 0)
return;
x += n - 1;
node[x] = val;
while (x > 0) {
x = (x - 1) >> 1;
node[x] = F(node[2 * x + 1], node[2 * x + 2]);
}
}
/*
Monoid query(int a, int b, int k = 0, int l = 0, int r = -1) {
if (r < 0) r = n;
if (r <= a || b <= l) return UNITY;
if (a <= l && r <= b) return node[k];
Monoid vl = query(a, b, 2 * k + 1, l, (r - l) / 2 + l);
Monoid vr = query(a, b, 2 * k + 2, (r - l) / 2 + l, r);
return F(vl, vr);
}
*/
Monoid get_query(int a, int b) {
Monoid L = UNITY, R = UNITY;
if (a < 0)
a = 0;
if (b < 0)
return UNITY;
if (a >= n)
return UNITY;
if (b >= n)
b = n;
for (a += n, b += n; a < b; a >>= 1, b >>= 1) {
if (a & 1)
L = F(L, node[a++ - 1]);
if (b & 1)
R = F(node[--b - 1], R);
}
return F(L, R);
}
int binary_search(int a, int b, const std::function<bool(Monoid)> &f,
int k = 0, int l = 0, int r = -1) {
if (r < 0)
r = n;
if (r <= a || b <= l)
return n;
if (!f(node[k]))
return n;
if (a <= l && r <= b && l == r - 1)
return l;
int ret_l = binary_search(a, b, f, 2 * k + 1, l, (r - l) / 2 + l);
if (ret_l != n)
return ret_l;
int ret_r = binary_search(a, b, f, 2 * k + 2, (r - l) / 2 + l, r);
assert(ret_r < n);
return ret_r;
}
Monoid operator[](int x) const { return node[n + x - 1]; }
int size() { return n; }
void print() {
for (int i = 0; i < n; i++) {
std::cout << i << "\t: " << node[n + i - 1] << std::endl;
}
}
};
int main() {
int n, q;
cin >> n >> q;
vector<int> a(n);
for (int i = 0; i < n; i++) {
cin >> a[i];
}
constexpr int INF = 1e9 + 6;
SegmentTree<int> seg(
a, [](int a, int b) { return max(a, b); }, 0);
while (q--) {
int t;
cin >> t;
if (t == 1) {
int x, v;
cin >> x >> v;
seg.update_query(x - 1, v);
} else if (t == 2) {
int l, r;
cin >> l >> r;
cout << seg.get_query(l - 1, r) << endl;
} else {
int x, v;
cin >> x >> v;
int ans = seg.binary_search(x - 1, n, [&](int t) { return v <= t; });
if (ans >= n) {
cout << n + 1 << endl;
} else {
cout << ans + 1 << endl;
}
}
}
return 0;
} | /**
* @FileName a.cpp
* @Author kanpurin
* @Created 2020.09.20 18:40:53
**/
#include "bits/stdc++.h"
using namespace std;
typedef long long ll;
template <class Monoid> struct SegmentTree {
private:
using Func = std::function<Monoid(Monoid, Monoid)>;
Func F;
Monoid UNITY;
int n;
std::vector<Monoid> node;
public:
SegmentTree() {}
SegmentTree(const std::vector<Monoid> &v, const Func f, const Monoid &unity) {
F = f;
UNITY = unity;
int sz = v.size();
n = 1;
while (n < sz)
n <<= 1;
node.resize(n * 2 - 1, UNITY);
for (int i = 0; i < sz; i++)
node[i + n - 1] = v[i];
build();
}
SegmentTree(int m, const Monoid &val, const Func f, const Monoid &unity) {
F = f;
UNITY = unity;
n = 1;
while (n < m)
n <<= 1;
node.resize(n * 2 - 1, UNITY);
if (val != UNITY) {
for (int i = 0; i < m; i++)
node[i + n - 1] = val;
build();
}
}
void set(int k, const Monoid &x) { node[n + k - 1] = x; }
void build() {
for (int i = n - 2; i >= 0; i--)
node[i] = F(node[2 * i + 1], node[2 * i + 2]);
}
void update_query(int x, const Monoid &val) {
if (x >= n || x < 0)
return;
x += n - 1;
node[x] = val;
while (x > 0) {
x = (x - 1) >> 1;
node[x] = F(node[2 * x + 1], node[2 * x + 2]);
}
}
/*
Monoid query(int a, int b, int k = 0, int l = 0, int r = -1) {
if (r < 0) r = n;
if (r <= a || b <= l) return UNITY;
if (a <= l && r <= b) return node[k];
Monoid vl = query(a, b, 2 * k + 1, l, (r - l) / 2 + l);
Monoid vr = query(a, b, 2 * k + 2, (r - l) / 2 + l, r);
return F(vl, vr);
}
*/
Monoid get_query(int a, int b) {
Monoid L = UNITY, R = UNITY;
if (a < 0)
a = 0;
if (b < 0)
return UNITY;
if (a >= n)
return UNITY;
if (b >= n)
b = n;
for (a += n, b += n; a < b; a >>= 1, b >>= 1) {
if (a & 1)
L = F(L, node[a++ - 1]);
if (b & 1)
R = F(node[--b - 1], R);
}
return F(L, R);
}
int binary_search(int a, int b, const std::function<bool(Monoid)> &f,
int k = 0, int l = 0, int r = -1) {
if (r < 0)
r = n;
if (r <= a || b <= l)
return n;
if (!f(node[k]))
return n;
if (a <= l && r <= b && l == r - 1)
return l;
int ret_l = binary_search(a, b, f, 2 * k + 1, l, (r - l) / 2 + l);
if (ret_l != n)
return ret_l;
int ret_r = binary_search(a, b, f, 2 * k + 2, (r - l) / 2 + l, r);
// assert(ret_r < n);
return ret_r;
}
Monoid operator[](int x) const { return node[n + x - 1]; }
int size() { return n; }
void print() {
for (int i = 0; i < n; i++) {
std::cout << i << "\t: " << node[n + i - 1] << std::endl;
}
}
};
int main() {
int n, q;
cin >> n >> q;
vector<int> a(n);
for (int i = 0; i < n; i++) {
cin >> a[i];
}
constexpr int INF = 1e9 + 6;
SegmentTree<int> seg(
a, [](int a, int b) { return max(a, b); }, 0);
while (q--) {
int t;
cin >> t;
if (t == 1) {
int x, v;
cin >> x >> v;
seg.update_query(x - 1, v);
} else if (t == 2) {
int l, r;
cin >> l >> r;
cout << seg.get_query(l - 1, r) << endl;
} else {
int x, v;
cin >> x >> v;
int ans = seg.binary_search(x - 1, n, [&](int t) { return v <= t; });
if (ans >= n) {
cout << n + 1 << endl;
} else {
cout << ans + 1 << endl;
}
}
}
return 0;
} | replace | 107 | 108 | 107 | 108 | 0 | |
p02567 | C++ | Runtime Error | #include <bits/stdc++.h>
#define endl "\n"
using namespace std;
#define ll long long
#define ld long double
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repo(i, n) for (int i = 1; i < (int)(n); i++)
#define pb push_back
#define mp make_pair
#define np next_permutation
#define fi first
#define se second
#define all(x) (x).begin(), (x).end()
#define uniq(v) v.erase(unique(v.begin(), v.end()), v.end())
#define lb(v, x) (lower_bound(v.begin(), v.end(), x) - v.begin())
#define ub(v, x) (upper_bound(v.begin(), v.end(), x) - v.begin())
using Pair = pair<ll, pair<int, int>>;
#define pq priority_queue<Pair, vector<Pair>, greater<Pair>>
const ll mod = 1000000007;
// const ll mod=998244353;
const ld pi = acos(-1.0);
const ll INF = 1LL << 61;
template <class T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T> bool chmin(T &a, const T &b) {
if (b < a) {
a = b;
return 1;
}
return 0;
}
ll gcd(ll x, ll y) { return y ? gcd(y, x % y) : x; }
ll lcm(ll x, ll y) { return x / gcd(x, y) * y; }
// intの最大値2147483647 ≒ 2×10^9
// long longの最大値9223372036854775807 ≒ 9×10^18
//'大文字'+=32; で小文字に
// cout << fixed << setprecision (20); 小数点以下2０桁まで
// 実行時間制約2秒では２×10^8回くらいまで計算できる
// ——————————————————Atcoder Library———————————————————
#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_BITOP_HPP
#ifndef ATCODER_INTERNAL_MATH_HPP
#define ATCODER_INTERNAL_MATH_HPP 1
#include <utility>
namespace atcoder {
namespace internal {
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) <
// 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v)
v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1)
return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1)
r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1)
return false;
if (n == 2 || n == 7 || n == 61)
return true;
if (n % 2 == 0)
return false;
long long d = n - 1;
while (d % 2 == 0)
d /= 2;
for (long long a : {2, 7, 61}) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0)
return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0)
m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2)
return 1;
if (m == 167772161)
return 3;
if (m == 469762049)
return 3;
if (m == 754974721)
return 11;
if (m == 998244353)
return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0)
x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok)
return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_MATH_HPP
#ifndef ATCODER_INTERNAL_QUEUE_HPP
#define ATCODER_INTERNAL_QUEUE_HPP 1
#include <vector>
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_QUEUE_HPP
#ifndef ATCODER_INTERNAL_SCC_HPP
#define ATCODER_INTERNAL_SCC_HPP 1
#include <algorithm>
#include <utility>
#include <vector>
namespace atcoder {
namespace internal {
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(int n, const std::vector<std::pair<int, E>> &edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
auto g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v)
break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1)
dfs(dfs, i);
}
for (auto &x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second)
counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
private:
int _n;
struct edge {
int to;
};
std::vector<std::pair<int, edge>> edges;
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_SCC_HPP
#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value, make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned =
typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_TYPE_TRAITS_HPP
#ifndef ATCODER_MODINT_HPP
#define ATCODER_MODINT_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0)
x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v -= rhs._v;
if (_v >= umod())
_v += umod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0)
x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += mod() - rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator*=(const mint &rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_MODINT_HPP
#ifndef ATCODER_CONVOLUTION_HPP
#define ATCODER_CONVOLUTION_HPP 1
#include <algorithm>
#include <array>
#include <cassert>
#include <type_traits>
#include <vector>
namespace atcoder {
namespace internal {
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_e[30]; // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now;
now *= ies[i];
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now;
a[i + offset] = l + r;
a[i + offset + p] = l - r;
}
now *= sum_e[bsf(~(unsigned int)(s))];
}
}
}
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly_inv(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_ie[30]; // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now;
now *= es[i];
}
}
for (int ph = h; ph >= 1; ph--) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = l + r;
a[i + offset + p] =
(unsigned long long)(mint::mod() + l.val() - r.val()) * inow.val();
}
inow *= sum_ie[bsf(~(unsigned int)(s))];
}
}
}
} // namespace internal
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
std::vector<mint> convolution(std::vector<mint> a, std::vector<mint> b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
if (std::min(n, m) <= 60) {
if (n < m) {
std::swap(n, m);
std::swap(a, b);
}
std::vector<mint> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
}
}
return ans;
}
int z = 1 << internal::ceil_pow2(n + m - 1);
a.resize(z);
internal::butterfly(a);
b.resize(z);
internal::butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
}
internal::butterfly_inv(a);
a.resize(n + m - 1);
mint iz = mint(z).inv();
for (int i = 0; i < n + m - 1; i++)
a[i] *= iz;
return a;
}
template <unsigned int mod = 998244353, class T,
std::enable_if_t<internal::is_integral<T>::value> * = nullptr>
std::vector<T> convolution(const std::vector<T> &a, const std::vector<T> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
using mint = static_modint<mod>;
std::vector<mint> a2(n), b2(m);
for (int i = 0; i < n; i++) {
a2[i] = mint(a[i]);
}
for (int i = 0; i < m; i++) {
b2[i] = mint(b[i]);
}
auto c2 = convolution(move(a2), move(b2));
std::vector<T> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
c[i] = c2[i].val();
}
return c;
}
std::vector<long long> convolution_ll(const std::vector<long long> &a,
const std::vector<long long> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
static constexpr unsigned long long MOD1 = 754974721; // 2^24
static constexpr unsigned long long MOD2 = 167772161; // 2^25
static constexpr unsigned long long MOD3 = 469762049; // 2^26
static constexpr unsigned long long M2M3 = MOD2 * MOD3;
static constexpr unsigned long long M1M3 = MOD1 * MOD3;
static constexpr unsigned long long M1M2 = MOD1 * MOD2;
static constexpr unsigned long long M1M2M3 = MOD1 * MOD2 * MOD3;
static constexpr unsigned long long i1 =
internal::inv_gcd(MOD2 * MOD3, MOD1).second;
static constexpr unsigned long long i2 =
internal::inv_gcd(MOD1 * MOD3, MOD2).second;
static constexpr unsigned long long i3 =
internal::inv_gcd(MOD1 * MOD2, MOD3).second;
auto c1 = convolution<MOD1>(a, b);
auto c2 = convolution<MOD2>(a, b);
auto c3 = convolution<MOD3>(a, b);
std::vector<long long> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
unsigned long long x = 0;
x += (c1[i] * i1) % MOD1 * M2M3;
x += (c2[i] * i2) % MOD2 * M1M3;
x += (c3[i] * i3) % MOD3 * M1M2;
// B = 2^63, -B <= x, r(real value) < B
// (x, x - M, x - 2M, or x - 3M) = r (mod 2B)
// r = c1[i] (mod MOD1)
// focus on MOD1
// r = x, x - M', x - 2M', x - 3M' (M' = M % 2^64) (mod 2B)
// r = x,
// x - M' + (0 or 2B),
// x - 2M' + (0, 2B or 4B),
// x - 3M' + (0, 2B, 4B or 6B) (without mod!)
// (r - x) = 0, (0)
// - M' + (0 or 2B), (1)
// -2M' + (0 or 2B or 4B), (2)
// -3M' + (0 or 2B or 4B or 6B) (3) (mod MOD1)
// we checked that
// ((1) mod MOD1) mod 5 = 2
// ((2) mod MOD1) mod 5 = 3
// ((3) mod MOD1) mod 5 = 4
long long diff =
c1[i] - internal::safe_mod((long long)(x), (long long)(MOD1));
if (diff < 0)
diff += MOD1;
static constexpr unsigned long long offset[5] = {0, 0, M1M2M3, 2 * M1M2M3,
3 * M1M2M3};
x -= offset[diff % 5];
c[i] = x;
}
return c;
}
} // namespace atcoder
#endif // ATCODER_CONVOLUTION_HPP
#ifndef ATCODER_DSU_HPP
#define ATCODER_DSU_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
// Implement (union by size) + (path compression)
// Reference:
// Zvi Galil and Giuseppe F. Italiano,
// Data structures and algorithms for disjoint set union problems
struct dsu {
public:
dsu() : _n(0) {}
dsu(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y)
return x;
if (-parent_or_size[x] < -parent_or_size[y])
std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0)
return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
} // namespace atcoder
#endif // ATCODER_DSU_HPP
#ifndef ATCODER_FENWICKTREE_HPP
#define ATCODER_FENWICKTREE_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
} // namespace atcoder
#endif // ATCODER_FENWICKTREE_HPP
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push(r >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP
#ifndef ATCODER_MATH_HPP
#define ATCODER_MATH_HPP 1
#include <algorithm>
#include <cassert>
#include <tuple>
#include <vector>
namespace atcoder {
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1)
return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1)
r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long> &r,
const std::vector<long long> &m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g % (u1*g) = (r1 - r0) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g)
return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0)
r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
long long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
} // namespace atcoder
#endif // ATCODER_MATH_HPP
#ifndef ATCODER_MAXFLOW_HPP
#define ATCODER_MAXFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MAXFLOW_HPP
#ifndef ATCODER_MINCOSTFLOW_HPP
#define ATCODER_MINCOSTFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap, cost});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result(m);
for (int i = 0; i < m; i++) {
result[i] = get_edge(i);
}
return result;
}
std::pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, std::numeric_limits<Cap>::max());
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants (C = maxcost):
// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
std::vector<Cost> dual(_n, 0), dist(_n);
std::vector<int> pv(_n), pe(_n);
std::vector<bool> vis(_n);
auto dual_ref = [&]() {
std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
std::fill(pv.begin(), pv.end(), -1);
std::fill(pe.begin(), pe.end(), -1);
std::fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
std::priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v] = shortest(s, v) + dual[s] - dual[v]
// dist[v] >= 0 (all reduced cost are positive)
// dist[v] <= (n-1)C
for (int i = 0; i < int(g[v].size()); i++) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to] + dual[v]| <= (n-1)C
// cost <= C - -(n-1)C + 0 = nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t]) {
return false;
}
for (int v = 0; v < _n; v++) {
if (!vis[v])
continue;
// dual[v] = dual[v] - dist[t] + dist[v]
// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) +
// (shortest(s, v) + dual[s] - dual[v]) = - shortest(s, t) +
// dual[t] + shortest(s, v) = shortest(s, v) - shortest(s, t) >=
// 0 - (n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost = -1;
std::vector<std::pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = std::min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost = cost;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MINCOSTFLOW_HPP
#ifndef ATCODER_SCC_HPP
#define ATCODER_SCC_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
private:
internal::scc_graph internal;
};
} // namespace atcoder
#endif // ATCODER_SCC_HPP
#ifndef ATCODER_SEGTREE_HPP
#define ATCODER_SEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#endif // ATCODER_SEGTREE_HPP
#ifndef ATCODER_STRING_HPP
#define ATCODER_STRING_HPP 1
#include <algorithm>
#include <cassert>
#include <numeric>
#include <string>
#include <vector>
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int> &s, int upper) {
int n = int(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int> &lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n)
continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1)
sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
} // namespace internal
std::vector<int> suffix_array(const std::vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T> &s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T> &s,
const std::vector<int> &sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h])
break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string &s, const std::vector<int> &sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T> &s) {
int n = int(s.size());
if (n == 0)
return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int &k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k])
k++;
if (j + z[j] < i + z[i])
j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
} // namespace atcoder
#endif // ATCODER_STRING_HPP
#ifndef ATCODER_TWOSAT_HPP
#define ATCODER_TWOSAT_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference:
// B. Aspvall, M. Plass, and R. Tarjan,
// A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean
// Formulas
struct two_sat {
public:
two_sat() : _n(0), scc(0) {}
two_sat(int n) : _n(n), _answer(n), scc(2 * n) {}
void add_clause(int i, bool f, int j, bool g) {
assert(0 <= i && i < _n);
assert(0 <= j && j < _n);
scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0));
scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0));
}
bool satisfiable() {
auto id = scc.scc_ids().second;
for (int i = 0; i < _n; i++) {
if (id[2 * i] == id[2 * i + 1])
return false;
_answer[i] = id[2 * i] < id[2 * i + 1];
}
return true;
}
std::vector<bool> answer() { return _answer; }
private:
int _n;
std::vector<bool> _answer;
internal::scc_graph scc;
};
} // namespace atcoder
#endif // ATCODER_TWOSAT_HPP
using namespace atcoder;
// ——————————————————Atcoder Library———————————————————
int op(int a, int b) { return max(a, b); }
int ez() { return (int)(0); }
int kura;
bool fun(int v) { return (v < kura); }
int main() {
cin.tie(0);
ios::sync_with_stdio(false);
int n, q;
cin >> n >> q;
vector<int> p(n);
rep(i, n) { cin >> p[i]; }
segtree<int, op, ez> seg(p);
rep(i, q) {
int a, b, c;
cin >> a >> b >> c;
if (a == 1) {
seg.set(b - 1, c);
}
if (a == 2) {
cout << seg.prod(b - 1, c) << endl;
}
if (a == 3) {
kura = c;
cout << seg.max_right<fun>(b - 1) + 1 << endl;
}
}
}
| #include <bits/stdc++.h>
#define endl "\n"
using namespace std;
#define ll long long
#define ld long double
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repo(i, n) for (int i = 1; i < (int)(n); i++)
#define pb push_back
#define mp make_pair
#define np next_permutation
#define fi first
#define se second
#define all(x) (x).begin(), (x).end()
#define uniq(v) v.erase(unique(v.begin(), v.end()), v.end())
#define lb(v, x) (lower_bound(v.begin(), v.end(), x) - v.begin())
#define ub(v, x) (upper_bound(v.begin(), v.end(), x) - v.begin())
using Pair = pair<ll, pair<int, int>>;
#define pq priority_queue<Pair, vector<Pair>, greater<Pair>>
const ll mod = 1000000007;
// const ll mod=998244353;
const ld pi = acos(-1.0);
const ll INF = 1LL << 61;
template <class T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T> bool chmin(T &a, const T &b) {
if (b < a) {
a = b;
return 1;
}
return 0;
}
ll gcd(ll x, ll y) { return y ? gcd(y, x % y) : x; }
ll lcm(ll x, ll y) { return x / gcd(x, y) * y; }
// intの最大値2147483647 ≒ 2×10^9
// long longの最大値9223372036854775807 ≒ 9×10^18
//'大文字'+=32; で小文字に
// cout << fixed << setprecision (20); 小数点以下2０桁まで
// 実行時間制約2秒では２×10^8回くらいまで計算できる
// ——————————————————Atcoder Library———————————————————
#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_BITOP_HPP
#ifndef ATCODER_INTERNAL_MATH_HPP
#define ATCODER_INTERNAL_MATH_HPP 1
#include <utility>
namespace atcoder {
namespace internal {
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) <
// 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v)
v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1)
return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1)
r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1)
return false;
if (n == 2 || n == 7 || n == 61)
return true;
if (n % 2 == 0)
return false;
long long d = n - 1;
while (d % 2 == 0)
d /= 2;
for (long long a : {2, 7, 61}) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0)
return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0)
m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2)
return 1;
if (m == 167772161)
return 3;
if (m == 469762049)
return 3;
if (m == 754974721)
return 11;
if (m == 998244353)
return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0)
x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok)
return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_MATH_HPP
#ifndef ATCODER_INTERNAL_QUEUE_HPP
#define ATCODER_INTERNAL_QUEUE_HPP 1
#include <vector>
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_QUEUE_HPP
#ifndef ATCODER_INTERNAL_SCC_HPP
#define ATCODER_INTERNAL_SCC_HPP 1
#include <algorithm>
#include <utility>
#include <vector>
namespace atcoder {
namespace internal {
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(int n, const std::vector<std::pair<int, E>> &edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
auto g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v)
break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1)
dfs(dfs, i);
}
for (auto &x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second)
counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
private:
int _n;
struct edge {
int to;
};
std::vector<std::pair<int, edge>> edges;
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_SCC_HPP
#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value, make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned =
typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_TYPE_TRAITS_HPP
#ifndef ATCODER_MODINT_HPP
#define ATCODER_MODINT_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0)
x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v -= rhs._v;
if (_v >= umod())
_v += umod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0)
x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += mod() - rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator*=(const mint &rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_MODINT_HPP
#ifndef ATCODER_CONVOLUTION_HPP
#define ATCODER_CONVOLUTION_HPP 1
#include <algorithm>
#include <array>
#include <cassert>
#include <type_traits>
#include <vector>
namespace atcoder {
namespace internal {
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_e[30]; // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now;
now *= ies[i];
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now;
a[i + offset] = l + r;
a[i + offset + p] = l - r;
}
now *= sum_e[bsf(~(unsigned int)(s))];
}
}
}
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly_inv(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_ie[30]; // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now;
now *= es[i];
}
}
for (int ph = h; ph >= 1; ph--) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = l + r;
a[i + offset + p] =
(unsigned long long)(mint::mod() + l.val() - r.val()) * inow.val();
}
inow *= sum_ie[bsf(~(unsigned int)(s))];
}
}
}
} // namespace internal
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
std::vector<mint> convolution(std::vector<mint> a, std::vector<mint> b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
if (std::min(n, m) <= 60) {
if (n < m) {
std::swap(n, m);
std::swap(a, b);
}
std::vector<mint> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
}
}
return ans;
}
int z = 1 << internal::ceil_pow2(n + m - 1);
a.resize(z);
internal::butterfly(a);
b.resize(z);
internal::butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
}
internal::butterfly_inv(a);
a.resize(n + m - 1);
mint iz = mint(z).inv();
for (int i = 0; i < n + m - 1; i++)
a[i] *= iz;
return a;
}
template <unsigned int mod = 998244353, class T,
std::enable_if_t<internal::is_integral<T>::value> * = nullptr>
std::vector<T> convolution(const std::vector<T> &a, const std::vector<T> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
using mint = static_modint<mod>;
std::vector<mint> a2(n), b2(m);
for (int i = 0; i < n; i++) {
a2[i] = mint(a[i]);
}
for (int i = 0; i < m; i++) {
b2[i] = mint(b[i]);
}
auto c2 = convolution(move(a2), move(b2));
std::vector<T> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
c[i] = c2[i].val();
}
return c;
}
std::vector<long long> convolution_ll(const std::vector<long long> &a,
const std::vector<long long> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
static constexpr unsigned long long MOD1 = 754974721; // 2^24
static constexpr unsigned long long MOD2 = 167772161; // 2^25
static constexpr unsigned long long MOD3 = 469762049; // 2^26
static constexpr unsigned long long M2M3 = MOD2 * MOD3;
static constexpr unsigned long long M1M3 = MOD1 * MOD3;
static constexpr unsigned long long M1M2 = MOD1 * MOD2;
static constexpr unsigned long long M1M2M3 = MOD1 * MOD2 * MOD3;
static constexpr unsigned long long i1 =
internal::inv_gcd(MOD2 * MOD3, MOD1).second;
static constexpr unsigned long long i2 =
internal::inv_gcd(MOD1 * MOD3, MOD2).second;
static constexpr unsigned long long i3 =
internal::inv_gcd(MOD1 * MOD2, MOD3).second;
auto c1 = convolution<MOD1>(a, b);
auto c2 = convolution<MOD2>(a, b);
auto c3 = convolution<MOD3>(a, b);
std::vector<long long> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
unsigned long long x = 0;
x += (c1[i] * i1) % MOD1 * M2M3;
x += (c2[i] * i2) % MOD2 * M1M3;
x += (c3[i] * i3) % MOD3 * M1M2;
// B = 2^63, -B <= x, r(real value) < B
// (x, x - M, x - 2M, or x - 3M) = r (mod 2B)
// r = c1[i] (mod MOD1)
// focus on MOD1
// r = x, x - M', x - 2M', x - 3M' (M' = M % 2^64) (mod 2B)
// r = x,
// x - M' + (0 or 2B),
// x - 2M' + (0, 2B or 4B),
// x - 3M' + (0, 2B, 4B or 6B) (without mod!)
// (r - x) = 0, (0)
// - M' + (0 or 2B), (1)
// -2M' + (0 or 2B or 4B), (2)
// -3M' + (0 or 2B or 4B or 6B) (3) (mod MOD1)
// we checked that
// ((1) mod MOD1) mod 5 = 2
// ((2) mod MOD1) mod 5 = 3
// ((3) mod MOD1) mod 5 = 4
long long diff =
c1[i] - internal::safe_mod((long long)(x), (long long)(MOD1));
if (diff < 0)
diff += MOD1;
static constexpr unsigned long long offset[5] = {0, 0, M1M2M3, 2 * M1M2M3,
3 * M1M2M3};
x -= offset[diff % 5];
c[i] = x;
}
return c;
}
} // namespace atcoder
#endif // ATCODER_CONVOLUTION_HPP
#ifndef ATCODER_DSU_HPP
#define ATCODER_DSU_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
// Implement (union by size) + (path compression)
// Reference:
// Zvi Galil and Giuseppe F. Italiano,
// Data structures and algorithms for disjoint set union problems
struct dsu {
public:
dsu() : _n(0) {}
dsu(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y)
return x;
if (-parent_or_size[x] < -parent_or_size[y])
std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0)
return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
} // namespace atcoder
#endif // ATCODER_DSU_HPP
#ifndef ATCODER_FENWICKTREE_HPP
#define ATCODER_FENWICKTREE_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
} // namespace atcoder
#endif // ATCODER_FENWICKTREE_HPP
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push(r >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP
#ifndef ATCODER_MATH_HPP
#define ATCODER_MATH_HPP 1
#include <algorithm>
#include <cassert>
#include <tuple>
#include <vector>
namespace atcoder {
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1)
return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1)
r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long> &r,
const std::vector<long long> &m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g % (u1*g) = (r1 - r0) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g)
return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0)
r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
long long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
} // namespace atcoder
#endif // ATCODER_MATH_HPP
#ifndef ATCODER_MAXFLOW_HPP
#define ATCODER_MAXFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MAXFLOW_HPP
#ifndef ATCODER_MINCOSTFLOW_HPP
#define ATCODER_MINCOSTFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap, cost});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result(m);
for (int i = 0; i < m; i++) {
result[i] = get_edge(i);
}
return result;
}
std::pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, std::numeric_limits<Cap>::max());
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants (C = maxcost):
// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
std::vector<Cost> dual(_n, 0), dist(_n);
std::vector<int> pv(_n), pe(_n);
std::vector<bool> vis(_n);
auto dual_ref = [&]() {
std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
std::fill(pv.begin(), pv.end(), -1);
std::fill(pe.begin(), pe.end(), -1);
std::fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
std::priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v] = shortest(s, v) + dual[s] - dual[v]
// dist[v] >= 0 (all reduced cost are positive)
// dist[v] <= (n-1)C
for (int i = 0; i < int(g[v].size()); i++) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to] + dual[v]| <= (n-1)C
// cost <= C - -(n-1)C + 0 = nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t]) {
return false;
}
for (int v = 0; v < _n; v++) {
if (!vis[v])
continue;
// dual[v] = dual[v] - dist[t] + dist[v]
// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) +
// (shortest(s, v) + dual[s] - dual[v]) = - shortest(s, t) +
// dual[t] + shortest(s, v) = shortest(s, v) - shortest(s, t) >=
// 0 - (n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost = -1;
std::vector<std::pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = std::min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost = cost;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MINCOSTFLOW_HPP
#ifndef ATCODER_SCC_HPP
#define ATCODER_SCC_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
private:
internal::scc_graph internal;
};
} // namespace atcoder
#endif // ATCODER_SCC_HPP
#ifndef ATCODER_SEGTREE_HPP
#define ATCODER_SEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#endif // ATCODER_SEGTREE_HPP
#ifndef ATCODER_STRING_HPP
#define ATCODER_STRING_HPP 1
#include <algorithm>
#include <cassert>
#include <numeric>
#include <string>
#include <vector>
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int> &s, int upper) {
int n = int(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int> &lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n)
continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1)
sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
} // namespace internal
std::vector<int> suffix_array(const std::vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T> &s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T> &s,
const std::vector<int> &sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h])
break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string &s, const std::vector<int> &sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T> &s) {
int n = int(s.size());
if (n == 0)
return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int &k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k])
k++;
if (j + z[j] < i + z[i])
j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
} // namespace atcoder
#endif // ATCODER_STRING_HPP
#ifndef ATCODER_TWOSAT_HPP
#define ATCODER_TWOSAT_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference:
// B. Aspvall, M. Plass, and R. Tarjan,
// A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean
// Formulas
struct two_sat {
public:
two_sat() : _n(0), scc(0) {}
two_sat(int n) : _n(n), _answer(n), scc(2 * n) {}
void add_clause(int i, bool f, int j, bool g) {
assert(0 <= i && i < _n);
assert(0 <= j && j < _n);
scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0));
scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0));
}
bool satisfiable() {
auto id = scc.scc_ids().second;
for (int i = 0; i < _n; i++) {
if (id[2 * i] == id[2 * i + 1])
return false;
_answer[i] = id[2 * i] < id[2 * i + 1];
}
return true;
}
std::vector<bool> answer() { return _answer; }
private:
int _n;
std::vector<bool> _answer;
internal::scc_graph scc;
};
} // namespace atcoder
#endif // ATCODER_TWOSAT_HPP
using namespace atcoder;
// ——————————————————Atcoder Library———————————————————
int op(int a, int b) { return max(a, b); }
int ez() { return (int)(-123); }
int kura;
bool fun(int v) { return (v < kura); }
int main() {
cin.tie(0);
ios::sync_with_stdio(false);
int n, q;
cin >> n >> q;
vector<int> p(n);
rep(i, n) { cin >> p[i]; }
segtree<int, op, ez> seg(p);
rep(i, q) {
int a, b, c;
cin >> a >> b >> c;
if (a == 1) {
seg.set(b - 1, c);
}
if (a == 2) {
cout << seg.prod(b - 1, c) << endl;
}
if (a == 3) {
kura = c;
cout << seg.max_right<fun>(b - 1) + 1 << endl;
}
}
}
| replace | 2,022 | 2,023 | 2,022 | 2,023 | 0 | |
p02567 | C++ | Runtime Error | #include <algorithm>
#include <bitset>
#include <cassert>
#include <cmath>
#include <complex>
#include <cstdio>
#include <deque>
#include <functional>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>
using namespace std;
#define REP(i, N) for (int i = 0; i < (int)N; i++)
#define FOR(i, a, b) for (int i = a; i < (int)b; i++)
#define ALL(x) (x).begin(), (x).end()
#define INF (1 << 30)
#define LLINF (1LL << 62)
#define DEBUG(...) debug(__LINE__, ":" __VA_ARGS__)
constexpr int MOD = 1000000007;
using ll = long long;
using Pii = pair<int, int>;
using Pll = pair<ll, ll>;
inline int popcount(ll x) { return __builtin_popcountll(x); }
inline int div2num(ll x) { return __builtin_ctzll(x); }
inline bool bit(ll x, int b) { return (x >> b) & 1; }
template <class T> string to_string(T s);
template <class S, class T> string to_string(pair<S, T> p);
string to_string(string s) { return s; }
string to_string(const char s[]) { return to_string(string(s)); }
template <class T> string to_string(T v) {
if (v.empty())
return "{}";
string ret = "{";
for (auto x : v)
ret += to_string(x) + ",";
ret.back() = '}';
return ret;
}
template <class S, class T> string to_string(pair<S, T> p) {
return "{" + to_string(p.first) + ":" + to_string(p.second) + "}";
}
void debug() { cerr << endl; }
template <class Head, class... Tail> void debug(Head head, Tail... tail) {
cerr << to_string(head) << " ";
debug(tail...);
}
struct IO {
#ifdef _WIN32
inline char getchar_unlocked() { return getchar(); }
inline void putchar_unlocked(char c) { putchar(c); }
#endif
std::string separator = " ";
template <class T> inline void read(T &x) {
char c;
do {
c = getchar_unlocked();
} while (c != '-' && (c < '0' || '9' < c));
bool minus = 0;
if (c == '-') {
minus = 1;
c = getchar_unlocked();
}
x = 0;
while ('0' <= c && c <= '9') {
x *= 10;
x += c - '0';
c = getchar_unlocked();
}
if (minus)
x = -x;
}
inline void read(std::string &x) {
char c;
do {
c = getchar_unlocked();
} while (c == ' ' || c == '\n');
x.clear();
do {
x += c;
c = getchar_unlocked();
} while (c != ' ' && c != '\n' && c != EOF);
}
template <class T> inline void read(std::vector<T> &v) {
for (auto &x : v)
read(x);
}
template <class S, class T> inline void read(std::pair<S, T> &p) {
read(p.first);
read(p.second);
}
template <class Head, class... Tail>
inline void read(Head &head, Tail &...tail) {
read(head);
read(tail...);
}
template <class T> inline void write(T x) {
char buf[32];
int p = 0;
if (x < 0) {
x = -x;
putchar_unlocked('-');
}
if (x == 0)
putchar_unlocked('0');
while (x > 0) {
buf[p++] = (x % 10) + '0';
x /= 10;
}
while (p) {
putchar_unlocked(buf[--p]);
}
}
inline void write(std::string x) {
for (char c : x)
putchar_unlocked(c);
}
inline void write(const char s[]) {
for (int i = 0; s[i] != 0; ++i)
putchar_unlocked(s[i]);
}
template <class T> inline void write(std::vector<T> v) {
if (v.empty())
return;
for (auto itr = v.begin(); itr + 1 != v.end(); ++itr) {
write(*itr);
write(separator);
}
write(v.back());
}
template <class Head, class... Tail>
inline void write(Head head, Tail... tail) {
write(head);
write(separator);
write(tail...);
}
template <class Head, class... Tail>
inline void writeln(Head head, Tail... tail) {
write(head, tail...);
write("\n");
}
void set_separator(std::string s) { separator = s; }
} io;
struct Prime {
int n;
vector<int> table;
vector<int> primes;
Prime(int _n = 100000) {
n = _n + 1;
table.resize(n, -1);
table[0] = 0;
table[1] = -1;
for (int i = 2; i * i < n; ++i) {
if (table[i] == -1) {
for (int j = i * i; j < n; j += i) {
table[j] = i;
}
}
}
}
void enumerate_primes() {
primes.clear();
for (int i = 2; i < n; ++i) {
if (table[i] == -1)
primes.push_back(i);
}
}
vector<pair<long long, int>> prime_factor(long long x) {
map<long long, int> mp;
long long div = 2;
int p = 0;
while (n <= x && div * div <= x) {
if (x % div == 0) {
mp[div]++;
x /= div;
} else {
if (p + 1 < primes.size()) {
div = primes[++p];
} else {
div++;
}
}
}
if (x < n) {
while (table[x] != -1) {
mp[table[x]]++;
x /= table[x];
}
}
if (x > 1)
mp[x]++;
vector<pair<long long, int>> ret;
for (auto p : mp)
ret.push_back(p);
return ret;
}
};
template <int MOD = 1000000007> struct Math {
vector<long long> fact, factinv, inv;
Math(int n = 100000) {
fact.resize(n + 1);
factinv.resize(n + 1);
inv.resize(n + 1);
fact[0] = fact[1] = 1;
factinv[0] = factinv[1] = 1;
inv[1] = 1;
for (int i = 2; i <= n; ++i) {
fact[i] = fact[i - 1] * i % MOD;
inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD;
factinv[i] = factinv[i - 1] * inv[i] % MOD;
}
}
long long C(int n, int r) {
if (n < r || n < 0 || r < 0) {
return 0;
} else {
return fact[n] * (factinv[r] * factinv[n - r] % MOD) % MOD;
}
}
long long P(int n, int r) {
if (n < r || n < 0 || r < 0) {
return 0;
} else {
return fact[n] * factinv[n - r] % MOD;
}
}
long long H(int n, int r) { return C(n + r - 1, r); }
};
struct UnionFind {
vector<int> data;
vector<vector<int>> groups;
UnionFind(int n) : data(n, -1) {}
int root(int v) { return data[v] < 0 ? v : data[v] = root(data[v]); }
bool unite(int u, int v) {
if ((u = root(u)) == (v = root(v))) {
return 1;
} else {
if (-data[u] < -data[v])
swap(u, v);
data[u] += data[v];
data[v] = u;
return 0;
}
}
int size(int v) { return -data[root(v)]; }
void make_groups() {
map<int, vector<int>> mp;
for (int i = 0; i < data.size(); ++i)
mp[root(i)].push_back(i);
groups.clear();
for (auto p : mp)
groups.push_back(p.second);
}
};
namespace phc {
long long modpow(long long a, long long n) {
long long res = 1;
while (n > 0) {
if (n & 1)
res = res * a % MOD;
a = a * a % MOD;
n >>= 1;
}
return res;
}
long long modinv(long long a) {
long long b = MOD, u = 1, v = 0;
while (b) {
long long t = a / b;
a -= t * b;
swap(a, b);
u -= t * v;
swap(u, v);
}
u %= MOD;
if (u < 0)
u += MOD;
return u;
}
long long gcd(long long a, long long b) { return b != 0 ? gcd(b, a % b) : a; }
long long lcm(long long a, long long b) { return a / gcd(a, b) * b; }
} // namespace phc
template <int mod> struct ModInt {
int x;
ModInt() : x(0) {}
ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
ModInt &operator+=(const ModInt &p) {
if ((x += p.x) >= mod)
x -= mod;
return *this;
}
ModInt &operator-=(const ModInt &p) {
if ((x += mod - p.x) >= mod)
x -= mod;
return *this;
}
ModInt &operator*=(const ModInt &p) {
x = (int)(1LL * x * p.x % mod);
return *this;
}
ModInt &operator/=(const ModInt &p) {
*this *= p.inverse();
return *this;
}
ModInt operator-() const { return ModInt(-x); }
ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
bool operator==(const ModInt &p) const { return x == p.x; }
bool operator!=(const ModInt &p) const { return x != p.x; }
ModInt inverse() const {
int a = x, b = mod, u = 1, v = 0, t;
while (b > 0) {
t = a / b;
swap(a -= t * b, b);
swap(u -= t * v, v);
}
return ModInt(u);
}
ModInt pow(int64_t n) const {
ModInt ret(1), mul(x);
while (n > 0) {
if (n & 1)
ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; }
friend istream &operator>>(istream &is, ModInt &a) {
int64_t t;
is >> t;
a = ModInt<mod>(t);
return (is);
}
static int get_mod() { return mod; }
};
using modint = ModInt<MOD>;
constexpr int dy[4] = {-1, 0, 1, 0}, dx[4] = {0, -1, 0, 1};
#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_BITOP_HPP
#ifndef ATCODER_INTERNAL_MATH_HPP
#define ATCODER_INTERNAL_MATH_HPP 1
#include <utility>
namespace atcoder {
namespace internal {
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) <
// 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v)
v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1)
return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1)
r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1)
return false;
if (n == 2 || n == 7 || n == 61)
return true;
if (n % 2 == 0)
return false;
long long d = n - 1;
while (d % 2 == 0)
d /= 2;
for (long long a : {2, 7, 61}) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0)
return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0)
m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2)
return 1;
if (m == 167772161)
return 3;
if (m == 469762049)
return 3;
if (m == 754974721)
return 11;
if (m == 998244353)
return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0)
x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok)
return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_MATH_HPP
#ifndef ATCODER_INTERNAL_QUEUE_HPP
#define ATCODER_INTERNAL_QUEUE_HPP 1
#include <vector>
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_QUEUE_HPP
#ifndef ATCODER_INTERNAL_SCC_HPP
#define ATCODER_INTERNAL_SCC_HPP 1
#include <algorithm>
#include <utility>
#include <vector>
namespace atcoder {
namespace internal {
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(int n, const std::vector<std::pair<int, E>> &edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
auto g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v)
break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1)
dfs(dfs, i);
}
for (auto &x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second)
counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
private:
int _n;
struct edge {
int to;
};
std::vector<std::pair<int, edge>> edges;
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_SCC_HPP
#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value, make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned =
typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_TYPE_TRAITS_HPP
#ifndef ATCODER_MODINT_HPP
#define ATCODER_MODINT_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0)
x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v -= rhs._v;
if (_v >= umod())
_v += umod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0)
x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += mod() - rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator*=(const mint &rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_MODINT_HPP
#ifndef ATCODER_CONVOLUTION_HPP
#define ATCODER_CONVOLUTION_HPP 1
#include <algorithm>
#include <array>
#include <cassert>
#include <type_traits>
#include <vector>
namespace atcoder {
namespace internal {
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_e[30]; // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now;
now *= ies[i];
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now;
a[i + offset] = l + r;
a[i + offset + p] = l - r;
}
now *= sum_e[bsf(~(unsigned int)(s))];
}
}
}
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly_inv(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_ie[30]; // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now;
now *= es[i];
}
}
for (int ph = h; ph >= 1; ph--) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = l + r;
a[i + offset + p] =
(unsigned long long)(mint::mod() + l.val() - r.val()) * inow.val();
}
inow *= sum_ie[bsf(~(unsigned int)(s))];
}
}
}
} // namespace internal
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
std::vector<mint> convolution(std::vector<mint> a, std::vector<mint> b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
if (std::min(n, m) <= 60) {
if (n < m) {
std::swap(n, m);
std::swap(a, b);
}
std::vector<mint> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
}
}
return ans;
}
int z = 1 << internal::ceil_pow2(n + m - 1);
a.resize(z);
internal::butterfly(a);
b.resize(z);
internal::butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
}
internal::butterfly_inv(a);
a.resize(n + m - 1);
mint iz = mint(z).inv();
for (int i = 0; i < n + m - 1; i++)
a[i] *= iz;
return a;
}
template <unsigned int mod = 998244353, class T,
std::enable_if_t<internal::is_integral<T>::value> * = nullptr>
std::vector<T> convolution(const std::vector<T> &a, const std::vector<T> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
using mint = static_modint<mod>;
std::vector<mint> a2(n), b2(m);
for (int i = 0; i < n; i++) {
a2[i] = mint(a[i]);
}
for (int i = 0; i < m; i++) {
b2[i] = mint(b[i]);
}
auto c2 = convolution(move(a2), move(b2));
std::vector<T> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
c[i] = c2[i].val();
}
return c;
}
std::vector<long long> convolution_ll(const std::vector<long long> &a,
const std::vector<long long> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
static constexpr unsigned long long MOD1 = 754974721; // 2^24
static constexpr unsigned long long MOD2 = 167772161; // 2^25
static constexpr unsigned long long MOD3 = 469762049; // 2^26
static constexpr unsigned long long M2M3 = MOD2 * MOD3;
static constexpr unsigned long long M1M3 = MOD1 * MOD3;
static constexpr unsigned long long M1M2 = MOD1 * MOD2;
static constexpr unsigned long long M1M2M3 = MOD1 * MOD2 * MOD3;
static constexpr unsigned long long i1 =
internal::inv_gcd(MOD2 * MOD3, MOD1).second;
static constexpr unsigned long long i2 =
internal::inv_gcd(MOD1 * MOD3, MOD2).second;
static constexpr unsigned long long i3 =
internal::inv_gcd(MOD1 * MOD2, MOD3).second;
auto c1 = convolution<MOD1>(a, b);
auto c2 = convolution<MOD2>(a, b);
auto c3 = convolution<MOD3>(a, b);
std::vector<long long> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
unsigned long long x = 0;
x += (c1[i] * i1) % MOD1 * M2M3;
x += (c2[i] * i2) % MOD2 * M1M3;
x += (c3[i] * i3) % MOD3 * M1M2;
// B = 2^63, -B <= x, r(real value) < B
// (x, x - M, x - 2M, or x - 3M) = r (mod 2B)
// r = c1[i] (mod MOD1)
// focus on MOD1
// r = x, x - M', x - 2M', x - 3M' (M' = M % 2^64) (mod 2B)
// r = x,
// x - M' + (0 or 2B),
// x - 2M' + (0, 2B or 4B),
// x - 3M' + (0, 2B, 4B or 6B) (without mod!)
// (r - x) = 0, (0)
// - M' + (0 or 2B), (1)
// -2M' + (0 or 2B or 4B), (2)
// -3M' + (0 or 2B or 4B or 6B) (3) (mod MOD1)
// we checked that
// ((1) mod MOD1) mod 5 = 2
// ((2) mod MOD1) mod 5 = 3
// ((3) mod MOD1) mod 5 = 4
long long diff =
c1[i] - internal::safe_mod((long long)(x), (long long)(MOD1));
if (diff < 0)
diff += MOD1;
static constexpr unsigned long long offset[5] = {0, 0, M1M2M3, 2 * M1M2M3,
3 * M1M2M3};
x -= offset[diff % 5];
c[i] = x;
}
return c;
}
} // namespace atcoder
#endif // ATCODER_CONVOLUTION_HPP
#ifndef ATCODER_DSU_HPP
#define ATCODER_DSU_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
// Implement (union by size) + (path compression)
// Reference:
// Zvi Galil and Giuseppe F. Italiano,
// Data structures and algorithms for disjoint set union problems
struct dsu {
public:
dsu() : _n(0) {}
dsu(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y)
return x;
if (-parent_or_size[x] < -parent_or_size[y])
std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0)
return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
} // namespace atcoder
#endif // ATCODER_DSU_HPP
#ifndef ATCODER_FENWICKTREE_HPP
#define ATCODER_FENWICKTREE_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
} // namespace atcoder
#endif // ATCODER_FENWICKTREE_HPP
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push(r >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP
#ifndef ATCODER_MATH_HPP
#define ATCODER_MATH_HPP 1
#include <algorithm>
#include <cassert>
#include <tuple>
#include <vector>
namespace atcoder {
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1)
return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1)
r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long> &r,
const std::vector<long long> &m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g % (u1*g) = (r1 - r0) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g)
return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0)
r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
long long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
} // namespace atcoder
#endif // ATCODER_MATH_HPP
#ifndef ATCODER_MAXFLOW_HPP
#define ATCODER_MAXFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MAXFLOW_HPP
#ifndef ATCODER_MINCOSTFLOW_HPP
#define ATCODER_MINCOSTFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap, cost});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result(m);
for (int i = 0; i < m; i++) {
result[i] = get_edge(i);
}
return result;
}
std::pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, std::numeric_limits<Cap>::max());
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants (C = maxcost):
// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
std::vector<Cost> dual(_n, 0), dist(_n);
std::vector<int> pv(_n), pe(_n);
std::vector<bool> vis(_n);
auto dual_ref = [&]() {
std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
std::fill(pv.begin(), pv.end(), -1);
std::fill(pe.begin(), pe.end(), -1);
std::fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
std::priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v] = shortest(s, v) + dual[s] - dual[v]
// dist[v] >= 0 (all reduced cost are positive)
// dist[v] <= (n-1)C
for (int i = 0; i < int(g[v].size()); i++) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to] + dual[v]| <= (n-1)C
// cost <= C - -(n-1)C + 0 = nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t]) {
return false;
}
for (int v = 0; v < _n; v++) {
if (!vis[v])
continue;
// dual[v] = dual[v] - dist[t] + dist[v]
// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) +
// (shortest(s, v) + dual[s] - dual[v]) = - shortest(s, t) +
// dual[t] + shortest(s, v) = shortest(s, v) - shortest(s, t) >=
// 0 - (n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost = -1;
std::vector<std::pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = std::min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost = cost;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MINCOSTFLOW_HPP
#ifndef ATCODER_SCC_HPP
#define ATCODER_SCC_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
private:
internal::scc_graph internal;
};
} // namespace atcoder
#endif // ATCODER_SCC_HPP
#ifndef ATCODER_SEGTREE_HPP
#define ATCODER_SEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#endif // ATCODER_SEGTREE_HPP
#ifndef ATCODER_STRING_HPP
#define ATCODER_STRING_HPP 1
#include <algorithm>
#include <cassert>
#include <numeric>
#include <string>
#include <vector>
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int> &s, int upper) {
int n = int(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int> &lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n)
continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1)
sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
} // namespace internal
std::vector<int> suffix_array(const std::vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T> &s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T> &s,
const std::vector<int> &sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h])
break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string &s, const std::vector<int> &sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T> &s) {
int n = int(s.size());
if (n == 0)
return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int &k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k])
k++;
if (j + z[j] < i + z[i])
j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
} // namespace atcoder
#endif // ATCODER_STRING_HPP
#ifndef ATCODER_TWOSAT_HPP
#define ATCODER_TWOSAT_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference:
// B. Aspvall, M. Plass, and R. Tarjan,
// A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean
// Formulas
struct two_sat {
public:
two_sat() : _n(0), scc(0) {}
two_sat(int n) : _n(n), _answer(n), scc(2 * n) {}
void add_clause(int i, bool f, int j, bool g) {
assert(0 <= i && i < _n);
assert(0 <= j && j < _n);
scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0));
scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0));
}
bool satisfiable() {
auto id = scc.scc_ids().second;
for (int i = 0; i < _n; i++) {
if (id[2 * i] == id[2 * i + 1])
return false;
_answer[i] = id[2 * i] < id[2 * i + 1];
}
return true;
}
std::vector<bool> answer() { return _answer; }
private:
int _n;
std::vector<bool> _answer;
internal::scc_graph scc;
};
} // namespace atcoder
#endif // ATCODER_TWOSAT_HPP
using namespace atcoder;
int op(int l, int r) { return max(l, r); }
int e() { return 0; }
int target;
bool f(int a) { return a < target; }
int main() {
int N, Q;
io.read(N, Q);
vector<int> A(N);
io.read(A);
segtree<int, op, e> seg(A);
while (Q--) {
int T;
io.read(T);
if (T == 1) {
int X, V;
io.read(X, V);
seg.set(X - 1, V);
} else if (T == 2) {
int L, R;
io.read(L, R);
io.writeln(seg.prod(L - 1, R));
} else {
int X;
io.read(X, target);
io.writeln(seg.max_right<f>(X - 1) + 1);
}
}
return 0;
} | #include <algorithm>
#include <bitset>
#include <cassert>
#include <cmath>
#include <complex>
#include <cstdio>
#include <deque>
#include <functional>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>
using namespace std;
#define REP(i, N) for (int i = 0; i < (int)N; i++)
#define FOR(i, a, b) for (int i = a; i < (int)b; i++)
#define ALL(x) (x).begin(), (x).end()
#define INF (1 << 30)
#define LLINF (1LL << 62)
#define DEBUG(...) debug(__LINE__, ":" __VA_ARGS__)
constexpr int MOD = 1000000007;
using ll = long long;
using Pii = pair<int, int>;
using Pll = pair<ll, ll>;
inline int popcount(ll x) { return __builtin_popcountll(x); }
inline int div2num(ll x) { return __builtin_ctzll(x); }
inline bool bit(ll x, int b) { return (x >> b) & 1; }
template <class T> string to_string(T s);
template <class S, class T> string to_string(pair<S, T> p);
string to_string(string s) { return s; }
string to_string(const char s[]) { return to_string(string(s)); }
template <class T> string to_string(T v) {
if (v.empty())
return "{}";
string ret = "{";
for (auto x : v)
ret += to_string(x) + ",";
ret.back() = '}';
return ret;
}
template <class S, class T> string to_string(pair<S, T> p) {
return "{" + to_string(p.first) + ":" + to_string(p.second) + "}";
}
void debug() { cerr << endl; }
template <class Head, class... Tail> void debug(Head head, Tail... tail) {
cerr << to_string(head) << " ";
debug(tail...);
}
struct IO {
#ifdef _WIN32
inline char getchar_unlocked() { return getchar(); }
inline void putchar_unlocked(char c) { putchar(c); }
#endif
std::string separator = " ";
template <class T> inline void read(T &x) {
char c;
do {
c = getchar_unlocked();
} while (c != '-' && (c < '0' || '9' < c));
bool minus = 0;
if (c == '-') {
minus = 1;
c = getchar_unlocked();
}
x = 0;
while ('0' <= c && c <= '9') {
x *= 10;
x += c - '0';
c = getchar_unlocked();
}
if (minus)
x = -x;
}
inline void read(std::string &x) {
char c;
do {
c = getchar_unlocked();
} while (c == ' ' || c == '\n');
x.clear();
do {
x += c;
c = getchar_unlocked();
} while (c != ' ' && c != '\n' && c != EOF);
}
template <class T> inline void read(std::vector<T> &v) {
for (auto &x : v)
read(x);
}
template <class S, class T> inline void read(std::pair<S, T> &p) {
read(p.first);
read(p.second);
}
template <class Head, class... Tail>
inline void read(Head &head, Tail &...tail) {
read(head);
read(tail...);
}
template <class T> inline void write(T x) {
char buf[32];
int p = 0;
if (x < 0) {
x = -x;
putchar_unlocked('-');
}
if (x == 0)
putchar_unlocked('0');
while (x > 0) {
buf[p++] = (x % 10) + '0';
x /= 10;
}
while (p) {
putchar_unlocked(buf[--p]);
}
}
inline void write(std::string x) {
for (char c : x)
putchar_unlocked(c);
}
inline void write(const char s[]) {
for (int i = 0; s[i] != 0; ++i)
putchar_unlocked(s[i]);
}
template <class T> inline void write(std::vector<T> v) {
if (v.empty())
return;
for (auto itr = v.begin(); itr + 1 != v.end(); ++itr) {
write(*itr);
write(separator);
}
write(v.back());
}
template <class Head, class... Tail>
inline void write(Head head, Tail... tail) {
write(head);
write(separator);
write(tail...);
}
template <class Head, class... Tail>
inline void writeln(Head head, Tail... tail) {
write(head, tail...);
write("\n");
}
void set_separator(std::string s) { separator = s; }
} io;
struct Prime {
int n;
vector<int> table;
vector<int> primes;
Prime(int _n = 100000) {
n = _n + 1;
table.resize(n, -1);
table[0] = 0;
table[1] = -1;
for (int i = 2; i * i < n; ++i) {
if (table[i] == -1) {
for (int j = i * i; j < n; j += i) {
table[j] = i;
}
}
}
}
void enumerate_primes() {
primes.clear();
for (int i = 2; i < n; ++i) {
if (table[i] == -1)
primes.push_back(i);
}
}
vector<pair<long long, int>> prime_factor(long long x) {
map<long long, int> mp;
long long div = 2;
int p = 0;
while (n <= x && div * div <= x) {
if (x % div == 0) {
mp[div]++;
x /= div;
} else {
if (p + 1 < primes.size()) {
div = primes[++p];
} else {
div++;
}
}
}
if (x < n) {
while (table[x] != -1) {
mp[table[x]]++;
x /= table[x];
}
}
if (x > 1)
mp[x]++;
vector<pair<long long, int>> ret;
for (auto p : mp)
ret.push_back(p);
return ret;
}
};
template <int MOD = 1000000007> struct Math {
vector<long long> fact, factinv, inv;
Math(int n = 100000) {
fact.resize(n + 1);
factinv.resize(n + 1);
inv.resize(n + 1);
fact[0] = fact[1] = 1;
factinv[0] = factinv[1] = 1;
inv[1] = 1;
for (int i = 2; i <= n; ++i) {
fact[i] = fact[i - 1] * i % MOD;
inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD;
factinv[i] = factinv[i - 1] * inv[i] % MOD;
}
}
long long C(int n, int r) {
if (n < r || n < 0 || r < 0) {
return 0;
} else {
return fact[n] * (factinv[r] * factinv[n - r] % MOD) % MOD;
}
}
long long P(int n, int r) {
if (n < r || n < 0 || r < 0) {
return 0;
} else {
return fact[n] * factinv[n - r] % MOD;
}
}
long long H(int n, int r) { return C(n + r - 1, r); }
};
struct UnionFind {
vector<int> data;
vector<vector<int>> groups;
UnionFind(int n) : data(n, -1) {}
int root(int v) { return data[v] < 0 ? v : data[v] = root(data[v]); }
bool unite(int u, int v) {
if ((u = root(u)) == (v = root(v))) {
return 1;
} else {
if (-data[u] < -data[v])
swap(u, v);
data[u] += data[v];
data[v] = u;
return 0;
}
}
int size(int v) { return -data[root(v)]; }
void make_groups() {
map<int, vector<int>> mp;
for (int i = 0; i < data.size(); ++i)
mp[root(i)].push_back(i);
groups.clear();
for (auto p : mp)
groups.push_back(p.second);
}
};
namespace phc {
long long modpow(long long a, long long n) {
long long res = 1;
while (n > 0) {
if (n & 1)
res = res * a % MOD;
a = a * a % MOD;
n >>= 1;
}
return res;
}
long long modinv(long long a) {
long long b = MOD, u = 1, v = 0;
while (b) {
long long t = a / b;
a -= t * b;
swap(a, b);
u -= t * v;
swap(u, v);
}
u %= MOD;
if (u < 0)
u += MOD;
return u;
}
long long gcd(long long a, long long b) { return b != 0 ? gcd(b, a % b) : a; }
long long lcm(long long a, long long b) { return a / gcd(a, b) * b; }
} // namespace phc
template <int mod> struct ModInt {
int x;
ModInt() : x(0) {}
ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
ModInt &operator+=(const ModInt &p) {
if ((x += p.x) >= mod)
x -= mod;
return *this;
}
ModInt &operator-=(const ModInt &p) {
if ((x += mod - p.x) >= mod)
x -= mod;
return *this;
}
ModInt &operator*=(const ModInt &p) {
x = (int)(1LL * x * p.x % mod);
return *this;
}
ModInt &operator/=(const ModInt &p) {
*this *= p.inverse();
return *this;
}
ModInt operator-() const { return ModInt(-x); }
ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
bool operator==(const ModInt &p) const { return x == p.x; }
bool operator!=(const ModInt &p) const { return x != p.x; }
ModInt inverse() const {
int a = x, b = mod, u = 1, v = 0, t;
while (b > 0) {
t = a / b;
swap(a -= t * b, b);
swap(u -= t * v, v);
}
return ModInt(u);
}
ModInt pow(int64_t n) const {
ModInt ret(1), mul(x);
while (n > 0) {
if (n & 1)
ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; }
friend istream &operator>>(istream &is, ModInt &a) {
int64_t t;
is >> t;
a = ModInt<mod>(t);
return (is);
}
static int get_mod() { return mod; }
};
using modint = ModInt<MOD>;
constexpr int dy[4] = {-1, 0, 1, 0}, dx[4] = {0, -1, 0, 1};
#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_BITOP_HPP
#ifndef ATCODER_INTERNAL_MATH_HPP
#define ATCODER_INTERNAL_MATH_HPP 1
#include <utility>
namespace atcoder {
namespace internal {
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) <
// 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v)
v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1)
return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1)
r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1)
return false;
if (n == 2 || n == 7 || n == 61)
return true;
if (n % 2 == 0)
return false;
long long d = n - 1;
while (d % 2 == 0)
d /= 2;
for (long long a : {2, 7, 61}) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0)
return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0)
m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2)
return 1;
if (m == 167772161)
return 3;
if (m == 469762049)
return 3;
if (m == 754974721)
return 11;
if (m == 998244353)
return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0)
x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok)
return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_MATH_HPP
#ifndef ATCODER_INTERNAL_QUEUE_HPP
#define ATCODER_INTERNAL_QUEUE_HPP 1
#include <vector>
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_QUEUE_HPP
#ifndef ATCODER_INTERNAL_SCC_HPP
#define ATCODER_INTERNAL_SCC_HPP 1
#include <algorithm>
#include <utility>
#include <vector>
namespace atcoder {
namespace internal {
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(int n, const std::vector<std::pair<int, E>> &edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
auto g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v)
break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1)
dfs(dfs, i);
}
for (auto &x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second)
counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
private:
int _n;
struct edge {
int to;
};
std::vector<std::pair<int, edge>> edges;
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_SCC_HPP
#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value, make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned =
typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_TYPE_TRAITS_HPP
#ifndef ATCODER_MODINT_HPP
#define ATCODER_MODINT_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0)
x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v -= rhs._v;
if (_v >= umod())
_v += umod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0)
x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += mod() - rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator*=(const mint &rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_MODINT_HPP
#ifndef ATCODER_CONVOLUTION_HPP
#define ATCODER_CONVOLUTION_HPP 1
#include <algorithm>
#include <array>
#include <cassert>
#include <type_traits>
#include <vector>
namespace atcoder {
namespace internal {
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_e[30]; // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now;
now *= ies[i];
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now;
a[i + offset] = l + r;
a[i + offset + p] = l - r;
}
now *= sum_e[bsf(~(unsigned int)(s))];
}
}
}
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly_inv(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_ie[30]; // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now;
now *= es[i];
}
}
for (int ph = h; ph >= 1; ph--) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = l + r;
a[i + offset + p] =
(unsigned long long)(mint::mod() + l.val() - r.val()) * inow.val();
}
inow *= sum_ie[bsf(~(unsigned int)(s))];
}
}
}
} // namespace internal
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
std::vector<mint> convolution(std::vector<mint> a, std::vector<mint> b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
if (std::min(n, m) <= 60) {
if (n < m) {
std::swap(n, m);
std::swap(a, b);
}
std::vector<mint> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
}
}
return ans;
}
int z = 1 << internal::ceil_pow2(n + m - 1);
a.resize(z);
internal::butterfly(a);
b.resize(z);
internal::butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
}
internal::butterfly_inv(a);
a.resize(n + m - 1);
mint iz = mint(z).inv();
for (int i = 0; i < n + m - 1; i++)
a[i] *= iz;
return a;
}
template <unsigned int mod = 998244353, class T,
std::enable_if_t<internal::is_integral<T>::value> * = nullptr>
std::vector<T> convolution(const std::vector<T> &a, const std::vector<T> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
using mint = static_modint<mod>;
std::vector<mint> a2(n), b2(m);
for (int i = 0; i < n; i++) {
a2[i] = mint(a[i]);
}
for (int i = 0; i < m; i++) {
b2[i] = mint(b[i]);
}
auto c2 = convolution(move(a2), move(b2));
std::vector<T> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
c[i] = c2[i].val();
}
return c;
}
std::vector<long long> convolution_ll(const std::vector<long long> &a,
const std::vector<long long> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
static constexpr unsigned long long MOD1 = 754974721; // 2^24
static constexpr unsigned long long MOD2 = 167772161; // 2^25
static constexpr unsigned long long MOD3 = 469762049; // 2^26
static constexpr unsigned long long M2M3 = MOD2 * MOD3;
static constexpr unsigned long long M1M3 = MOD1 * MOD3;
static constexpr unsigned long long M1M2 = MOD1 * MOD2;
static constexpr unsigned long long M1M2M3 = MOD1 * MOD2 * MOD3;
static constexpr unsigned long long i1 =
internal::inv_gcd(MOD2 * MOD3, MOD1).second;
static constexpr unsigned long long i2 =
internal::inv_gcd(MOD1 * MOD3, MOD2).second;
static constexpr unsigned long long i3 =
internal::inv_gcd(MOD1 * MOD2, MOD3).second;
auto c1 = convolution<MOD1>(a, b);
auto c2 = convolution<MOD2>(a, b);
auto c3 = convolution<MOD3>(a, b);
std::vector<long long> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
unsigned long long x = 0;
x += (c1[i] * i1) % MOD1 * M2M3;
x += (c2[i] * i2) % MOD2 * M1M3;
x += (c3[i] * i3) % MOD3 * M1M2;
// B = 2^63, -B <= x, r(real value) < B
// (x, x - M, x - 2M, or x - 3M) = r (mod 2B)
// r = c1[i] (mod MOD1)
// focus on MOD1
// r = x, x - M', x - 2M', x - 3M' (M' = M % 2^64) (mod 2B)
// r = x,
// x - M' + (0 or 2B),
// x - 2M' + (0, 2B or 4B),
// x - 3M' + (0, 2B, 4B or 6B) (without mod!)
// (r - x) = 0, (0)
// - M' + (0 or 2B), (1)
// -2M' + (0 or 2B or 4B), (2)
// -3M' + (0 or 2B or 4B or 6B) (3) (mod MOD1)
// we checked that
// ((1) mod MOD1) mod 5 = 2
// ((2) mod MOD1) mod 5 = 3
// ((3) mod MOD1) mod 5 = 4
long long diff =
c1[i] - internal::safe_mod((long long)(x), (long long)(MOD1));
if (diff < 0)
diff += MOD1;
static constexpr unsigned long long offset[5] = {0, 0, M1M2M3, 2 * M1M2M3,
3 * M1M2M3};
x -= offset[diff % 5];
c[i] = x;
}
return c;
}
} // namespace atcoder
#endif // ATCODER_CONVOLUTION_HPP
#ifndef ATCODER_DSU_HPP
#define ATCODER_DSU_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
// Implement (union by size) + (path compression)
// Reference:
// Zvi Galil and Giuseppe F. Italiano,
// Data structures and algorithms for disjoint set union problems
struct dsu {
public:
dsu() : _n(0) {}
dsu(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y)
return x;
if (-parent_or_size[x] < -parent_or_size[y])
std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0)
return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
} // namespace atcoder
#endif // ATCODER_DSU_HPP
#ifndef ATCODER_FENWICKTREE_HPP
#define ATCODER_FENWICKTREE_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
} // namespace atcoder
#endif // ATCODER_FENWICKTREE_HPP
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push(r >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP
#ifndef ATCODER_MATH_HPP
#define ATCODER_MATH_HPP 1
#include <algorithm>
#include <cassert>
#include <tuple>
#include <vector>
namespace atcoder {
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1)
return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1)
r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long> &r,
const std::vector<long long> &m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g % (u1*g) = (r1 - r0) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g)
return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0)
r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
long long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
} // namespace atcoder
#endif // ATCODER_MATH_HPP
#ifndef ATCODER_MAXFLOW_HPP
#define ATCODER_MAXFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MAXFLOW_HPP
#ifndef ATCODER_MINCOSTFLOW_HPP
#define ATCODER_MINCOSTFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap, cost});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result(m);
for (int i = 0; i < m; i++) {
result[i] = get_edge(i);
}
return result;
}
std::pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, std::numeric_limits<Cap>::max());
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants (C = maxcost):
// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
std::vector<Cost> dual(_n, 0), dist(_n);
std::vector<int> pv(_n), pe(_n);
std::vector<bool> vis(_n);
auto dual_ref = [&]() {
std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
std::fill(pv.begin(), pv.end(), -1);
std::fill(pe.begin(), pe.end(), -1);
std::fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
std::priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v] = shortest(s, v) + dual[s] - dual[v]
// dist[v] >= 0 (all reduced cost are positive)
// dist[v] <= (n-1)C
for (int i = 0; i < int(g[v].size()); i++) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to] + dual[v]| <= (n-1)C
// cost <= C - -(n-1)C + 0 = nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t]) {
return false;
}
for (int v = 0; v < _n; v++) {
if (!vis[v])
continue;
// dual[v] = dual[v] - dist[t] + dist[v]
// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) +
// (shortest(s, v) + dual[s] - dual[v]) = - shortest(s, t) +
// dual[t] + shortest(s, v) = shortest(s, v) - shortest(s, t) >=
// 0 - (n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost = -1;
std::vector<std::pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = std::min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost = cost;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MINCOSTFLOW_HPP
#ifndef ATCODER_SCC_HPP
#define ATCODER_SCC_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
private:
internal::scc_graph internal;
};
} // namespace atcoder
#endif // ATCODER_SCC_HPP
#ifndef ATCODER_SEGTREE_HPP
#define ATCODER_SEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#endif // ATCODER_SEGTREE_HPP
#ifndef ATCODER_STRING_HPP
#define ATCODER_STRING_HPP 1
#include <algorithm>
#include <cassert>
#include <numeric>
#include <string>
#include <vector>
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int> &s, int upper) {
int n = int(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int> &lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n)
continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1)
sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
} // namespace internal
std::vector<int> suffix_array(const std::vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T> &s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T> &s,
const std::vector<int> &sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h])
break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string &s, const std::vector<int> &sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T> &s) {
int n = int(s.size());
if (n == 0)
return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int &k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k])
k++;
if (j + z[j] < i + z[i])
j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
} // namespace atcoder
#endif // ATCODER_STRING_HPP
#ifndef ATCODER_TWOSAT_HPP
#define ATCODER_TWOSAT_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference:
// B. Aspvall, M. Plass, and R. Tarjan,
// A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean
// Formulas
struct two_sat {
public:
two_sat() : _n(0), scc(0) {}
two_sat(int n) : _n(n), _answer(n), scc(2 * n) {}
void add_clause(int i, bool f, int j, bool g) {
assert(0 <= i && i < _n);
assert(0 <= j && j < _n);
scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0));
scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0));
}
bool satisfiable() {
auto id = scc.scc_ids().second;
for (int i = 0; i < _n; i++) {
if (id[2 * i] == id[2 * i + 1])
return false;
_answer[i] = id[2 * i] < id[2 * i + 1];
}
return true;
}
std::vector<bool> answer() { return _answer; }
private:
int _n;
std::vector<bool> _answer;
internal::scc_graph scc;
};
} // namespace atcoder
#endif // ATCODER_TWOSAT_HPP
using namespace atcoder;
int op(int l, int r) { return max(l, r); }
int e() { return -1; }
int target;
bool f(int a) { return a < target; }
int main() {
int N, Q;
io.read(N, Q);
vector<int> A(N);
io.read(A);
segtree<int, op, e> seg(A);
while (Q--) {
int T;
io.read(T);
if (T == 1) {
int X, V;
io.read(X, V);
seg.set(X - 1, V);
} else if (T == 2) {
int L, R;
io.read(L, R);
io.writeln(seg.prod(L - 1, R));
} else {
int X;
io.read(X, target);
io.writeln(seg.max_right<f>(X - 1) + 1);
}
}
return 0;
} | replace | 2,356 | 2,357 | 2,356 | 2,357 | 0 | |
p02567 | C++ | Runtime Error | #define _CRT_SECURE_NO_WARNINGS
#define _USE_MATH_DEFINES
#define _SILENCE_ALL_CXX17_DEPRECATION_WARNINGS
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma comment(linker, "/STACK:526000000")
#include "bits/stdc++.h"
/*
Here starts the AtCoder STL.
*/
#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int> &s, int upper) {
int n = int(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int> &lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n)
continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1)
sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) <
// 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v)
v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1)
return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1)
r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1)
return false;
if (n == 2 || n == 7 || n == 61)
return true;
if (n % 2 == 0)
return false;
long long d = n - 1;
while (d % 2 == 0)
d /= 2;
{
long long a = 2;
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
{
long long a = 7;
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
{
long long a = 61;
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0)
return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0)
m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2)
return 1;
if (m == 167772161)
return 3;
if (m == 469762049)
return 3;
if (m == 754974721)
return 11;
if (m == 998244353)
return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0)
x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok)
return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(int n, const std::vector<std::pair<int, E>> &edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
auto g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v)
break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1)
dfs(dfs, i);
}
for (auto &x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second)
counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
private:
int _n;
struct edge {
int to;
};
std::vector<std::pair<int, edge>> edges;
};
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value, make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned =
typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0)
x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v -= rhs._v;
if (_v >= umod())
_v += umod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0)
x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += mod() - rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator*=(const mint &rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
}; // namespace internal
struct dsu {
public:
dsu() : _n(0) {}
dsu(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y)
return x;
if (-parent_or_size[x] < -parent_or_size[y])
std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0)
return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1)
return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1)
r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long> &r,
const std::vector<long long> &m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g % (u1*g) = (r1 - r0) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g)
return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0)
r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
long long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
private:
internal::scc_graph internal;
};
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap, cost});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result(m);
for (int i = 0; i < m; i++) {
result[i] = get_edge(i);
}
return result;
}
std::pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, std::numeric_limits<Cap>::max());
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants (C = maxcost):
// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
std::vector<Cost> dual(_n, 0), dist(_n);
std::vector<int> pv(_n), pe(_n);
std::vector<bool> vis(_n);
auto dual_ref = [&]() {
std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
std::fill(pv.begin(), pv.end(), -1);
std::fill(pe.begin(), pe.end(), -1);
std::fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
std::priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v] = shortest(s, v) + dual[s] - dual[v]
// dist[v] >= 0 (all reduced cost are positive)
// dist[v] <= (n-1)C
for (int i = 0; i < int(g[v].size()); i++) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to] + dual[v]| <= (n-1)C
// cost <= C - -(n-1)C + 0 = nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t]) {
return false;
}
for (int v = 0; v < _n; v++) {
if (!vis[v])
continue;
// dual[v] = dual[v] - dist[t] + dist[v]
// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) +
// (shortest(s, v) + dual[s] - dual[v]) = - shortest(s, t) +
// dual[t] + shortest(s, v) = shortest(s, v) - shortest(s, t) >=
// 0 - (n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost = -1;
std::vector<std::pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = std::min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost = cost;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push(r >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
struct two_sat {
public:
two_sat() : _n(0), scc(0) {}
two_sat(int n) : _n(n), _answer(n), scc(2 * n) {}
void add_clause(int i, bool f, int j, bool g) {
assert(0 <= i && i < _n);
assert(0 <= j && j < _n);
scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0));
scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0));
}
bool satisfiable() {
auto id = scc.scc_ids().second;
for (int i = 0; i < _n; i++) {
if (id[2 * i] == id[2 * i + 1])
return false;
_answer[i] = id[2 * i] < id[2 * i + 1];
}
return true;
}
std::vector<bool> answer() { return _answer; }
private:
int _n;
std::vector<bool> _answer;
internal::scc_graph scc;
};
std::vector<int> suffix_array(const std::vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T> &s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T> &s,
const std::vector<int> &sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h])
break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string &s, const std::vector<int> &sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T> &s) {
int n = int(s.size());
if (n == 0)
return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int &k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k])
k++;
if (j + z[j] < i + z[i])
j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
namespace internal {
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_e[30]; // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now;
now *= ies[i];
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now;
a[i + offset] = l + r;
a[i + offset + p] = l - r;
}
now *= sum_e[bsf(~(unsigned int)(s))];
}
}
}
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly_inv(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_ie[30]; // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now;
now *= es[i];
}
}
for (int ph = h; ph >= 1; ph--) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = l + r;
a[i + offset + p] =
(unsigned long long)(mint::mod() + l.val() - r.val()) * inow.val();
}
inow *= sum_ie[bsf(~(unsigned int)(s))];
}
}
}
}; // namespace internal
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
std::vector<mint> convolution(std::vector<mint> a, std::vector<mint> b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
if (std::min(n, m) <= 60) {
if (n < m) {
std::swap(n, m);
std::swap(a, b);
}
std::vector<mint> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
}
}
return ans;
}
int z = 1 << internal::ceil_pow2(n + m - 1);
a.resize(z);
internal::butterfly(a);
b.resize(z);
internal::butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
}
internal::butterfly_inv(a);
a.resize(n + m - 1);
mint iz = mint(z).inv();
for (int i = 0; i < n + m - 1; i++)
a[i] *= iz;
return a;
}
template <unsigned int mod = 998244353, class T,
std::enable_if_t<internal::is_integral<T>::value> * = nullptr>
std::vector<T> convolution(const std::vector<T> &a, const std::vector<T> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
using mint = static_modint<mod>;
std::vector<mint> a2(n), b2(m);
for (int i = 0; i < n; i++) {
a2[i] = mint(a[i]);
}
for (int i = 0; i < m; i++) {
b2[i] = mint(b[i]);
}
auto c2 = convolution(move(a2), move(b2));
std::vector<T> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
c[i] = c2[i].val();
}
return c;
}
std::vector<long long> convolution_ll(const std::vector<long long> &a,
const std::vector<long long> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
static constexpr unsigned long long MOD1 = 754974721; // 2^24
static constexpr unsigned long long MOD2 = 167772161; // 2^25
static constexpr unsigned long long MOD3 = 469762049; // 2^26
static constexpr unsigned long long M2M3 = MOD2 * MOD3;
static constexpr unsigned long long M1M3 = MOD1 * MOD3;
static constexpr unsigned long long M1M2 = MOD1 * MOD2;
static constexpr unsigned long long M1M2M3 = MOD1 * MOD2 * MOD3;
static constexpr unsigned long long i1 =
internal::inv_gcd(MOD2 * MOD3, MOD1).second;
static constexpr unsigned long long i2 =
internal::inv_gcd(MOD1 * MOD3, MOD2).second;
static constexpr unsigned long long i3 =
internal::inv_gcd(MOD1 * MOD2, MOD3).second;
auto c1 = convolution<MOD1>(a, b);
auto c2 = convolution<MOD2>(a, b);
auto c3 = convolution<MOD3>(a, b);
std::vector<long long> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
unsigned long long x = 0;
x += (c1[i] * i1) % MOD1 * M2M3;
x += (c2[i] * i2) % MOD2 * M1M3;
x += (c3[i] * i3) % MOD3 * M1M2;
// B = 2^63, -B <= x, r(real value) < B
// (x, x - M, x - 2M, or x - 3M) = r (mod 2B)
// r = c1[i] (mod MOD1)
// focus on MOD1
// r = x, x - M', x - 2M', x - 3M' (M' = M % 2^64) (mod 2B)
// r = x,
// x - M' + (0 or 2B),
// x - 2M' + (0, 2B or 4B),
// x - 3M' + (0, 2B, 4B or 6B) (without mod!)
// (r - x) = 0, (0)
// - M' + (0 or 2B), (1)
// -2M' + (0 or 2B or 4B), (2)
// -3M' + (0 or 2B or 4B or 6B) (3) (mod MOD1)
// we checked that
// ((1) mod MOD1) mod 5 = 2
// ((2) mod MOD1) mod 5 = 3
// ((3) mod MOD1) mod 5 = 4
long long diff =
c1[i] - internal::safe_mod((long long)(x), (long long)(MOD1));
if (diff < 0)
diff += MOD1;
static constexpr unsigned long long offset[5] = {0, 0, M1M2M3, 2 * M1M2M3,
3 * M1M2M3};
x -= offset[diff % 5];
c[i] = x;
}
return c;
}
} // namespace atcoder
#endif
#define int ll
using namespace std;
using namespace atcoder;
typedef string::const_iterator State;
#define eps 1e-8L
#define MAX_MOD 1000000007LL
#define GYAKU 500000004LL
#define MOD 998244353LL
#define pb push_back
#define mp make_pair
typedef long long ll;
typedef long double ld;
#define REP(a, b) for (long long(a) = 0; (a) < (b); ++(a))
#define ALL(x) (x).begin(), (x).end()
unsigned long xor128() {
static unsigned long x = 123456789, y = 362436069, z = 521288629,
w = 88675123;
unsigned long t = (x ^ (x << 11));
x = y;
y = z;
z = w;
return (w = (w ^ (w >> 19)) ^ (t ^ (t >> 8)));
};
typedef complex<long double> Point;
typedef pair<complex<long double>, complex<long double>> Line;
typedef struct Circle {
complex<long double> center;
long double r;
} Circle;
long double dot(Point a, Point b) {
return (a.real() * b.real() + a.imag() * b.imag());
}
long double cross(Point a, Point b) {
return (a.real() * b.imag() - a.imag() * b.real());
}
long double Dist_Line_Point(Line a, Point b) {
if (dot(a.second - a.first, b - a.first) < eps)
return abs(b - a.first);
if (dot(a.first - a.second, b - a.second) < eps)
return abs(b - a.second);
return abs(cross(a.second - a.first, b - a.first)) / abs(a.second - a.first);
}
int is_intersected_ls(Line a, Line b) {
return (cross(a.second - a.first, b.first - a.first) *
cross(a.second - a.first, b.second - a.first) <
eps) &&
(cross(b.second - b.first, a.first - b.first) *
cross(b.second - b.first, a.second - b.first) <
eps);
}
Point intersection_l(Line a, Line b) {
Point da = a.second - a.first;
Point db = b.second - b.first;
return a.first + da * cross(db, b.first - a.first) / cross(db, da);
}
long double Dist_Line_Line(Line a, Line b) {
if (is_intersected_ls(a, b) == 1) {
return 0;
}
return min({Dist_Line_Point(a, b.first), Dist_Line_Point(a, b.second),
Dist_Line_Point(b, a.first), Dist_Line_Point(b, a.second)});
}
pair<Point, Point> intersection_Circle_Circle(Circle a, Circle b) {
long double dist = abs(a.center - b.center);
assert(dist <= eps + a.r + b.r);
assert(dist + eps >= abs(a.r - b.r));
Point target = b.center - a.center;
long double pointer =
target.real() * target.real() + target.imag() * target.imag();
long double aa = pointer + a.r * a.r - b.r * b.r;
aa /= 2.0L;
Point l{(aa * target.real() +
target.imag() * sqrt(pointer * a.r * a.r - aa * aa)) /
pointer,
(aa * target.imag() -
target.real() * sqrt(pointer * a.r * a.r - aa * aa)) /
pointer};
Point r{(aa * target.real() -
target.imag() * sqrt(pointer * a.r * a.r - aa * aa)) /
pointer,
(aa * target.imag() +
target.real() * sqrt(pointer * a.r * a.r - aa * aa)) /
pointer};
r = r + a.center;
l = l + a.center;
return mp(l, r);
}
// end of geometry
ll gcd(ll a, ll b) {
if (b == 0)
return a;
return gcd(b, a % b);
}
template <typename A> A pows(A val, ll b) {
assert(b >= 1);
A ans = val;
b--;
while (b) {
if (b % 2) {
ans *= val;
}
val *= val;
b /= 2LL;
}
return ans;
}
template <typename A> class Compressor {
public:
bool is_zipped = false;
map<A, ll> zipper;
map<ll, A> unzipper;
queue<A> fetcher;
Compressor() {
is_zipped = false;
zipper.clear();
unzipper.clear();
}
void add(A now) {
assert(is_zipped == false);
zipper[now] = 1;
fetcher.push(now);
}
void exec() {
assert(is_zipped == false);
int cnt = 0;
for (auto i = zipper.begin(); i != zipper.end(); ++i) {
i->second = cnt;
unzipper[cnt] = i->first;
cnt++;
}
is_zipped = true;
}
ll fetch() {
assert(is_zipped == true);
A hoge = fetcher.front();
fetcher.pop();
return zipper[hoge];
}
ll zip(A now) {
assert(is_zipped == true);
assert(zipper.find(now) != zipper.end());
return zipper[now];
}
A unzip(ll a) {
assert(is_zipped == true);
assert(a < unzipper.size());
return unzipper[a];
}
ll next(A now) {
auto x = zipper.upper_bound(now);
if (x == zipper.end())
return zipper.size();
return (ll)((*x).second);
}
ll back(A now) {
auto x = zipper.lower_bound(now);
if (x == zipper.begin())
return -1;
x--;
return (ll)((*x).second);
}
};
template <typename A> class Matrix {
public:
vector<vector<A>> data;
Matrix(vector<vector<A>> a) : data(a) {}
Matrix operator+(const Matrix obj) {
vector<vector<A>> ans;
assert(obj.data.size() == this->data.size());
assert(obj.data[0].size() == this->data[0].size());
REP(i, obj.data.size()) {
ans.push_back(vector<A>());
REP(q, obj.data[i].size()) {
A hoge = obj.data[i][q] + (this->data[i][q]);
ans.back().push_back(hoge);
}
}
return Matrix(ans);
}
Matrix operator-(const Matrix obj) {
vector<vector<A>> ans;
assert(obj.data.size() == this->data.size());
assert(obj.data[0].size() == this->data[0].size());
REP(i, obj.data.size()) {
ans.push_back(vector<A>());
REP(q, obj.data[i].size()) {
A hoge = this->data[i][q] - obj.data[i][q];
ans.back().push_back(hoge);
}
}
return Matrix(ans);
}
Matrix operator*(const Matrix obj) {
vector<vector<A>> ans;
assert(obj.data.size() == this->data[0].size());
REP(i, this->data.size()) {
ans.push_back(vector<A>());
REP(q, obj.data[0].size()) {
A hoge = ((this->data[i][0]) * (obj.data[0][q]));
for (int t = 1; t < obj.data.size(); ++t) {
hoge += ((this->data[i][t]) * obj.data[t][q]);
}
ans.back().push_back(hoge);
}
}
return Matrix(ans);
}
Matrix &operator*=(const Matrix obj) {
*this = (*this * obj);
return *this;
}
Matrix &operator+=(const Matrix obj) {
*this = (*this + obj);
return *this;
}
Matrix &operator-=(const Matrix obj) {
*this = (*this - obj);
return *this;
}
};
struct Fraction {
ll a;
ll b;
Fraction() : a(0LL), b(1LL) {}
Fraction(ll c, ll d) {
int hoge = gcd(llabs(c), llabs(d));
if (hoge != 0) {
c /= hoge;
d /= hoge;
if (d < 0 or (d == 0 and c < 0)) {
d *= -1;
c *= -1;
}
}
a = c;
b = d;
}
bool operator<(Fraction rhs) const {
if (a < 0 and rhs.a > 0)
return 1;
if (a > 0 and rhs.a < 0)
return 0;
return a * rhs.b < rhs.a * b;
}
bool operator==(Fraction rhs) const { return a == rhs.a and b == rhs.b; }
};
class Dice {
public:
vector<ll> vertexs;
// Up: 0,Left: 1,Center: 2,Right: 3,Adj: 4, Down: 5
Dice(vector<ll> init) : vertexs(init) {}
// Look from Center
void RtoL() {
for (int q = 1; q < 4; ++q) {
swap(vertexs[q], vertexs[q + 1]);
}
}
void LtoR() {
for (int q = 3; q >= 1; --q) {
swap(vertexs[q], vertexs[q + 1]);
}
}
void UtoD() {
swap(vertexs[5], vertexs[4]);
swap(vertexs[2], vertexs[5]);
swap(vertexs[0], vertexs[2]);
}
void DtoU() {
swap(vertexs[0], vertexs[2]);
swap(vertexs[2], vertexs[5]);
swap(vertexs[5], vertexs[4]);
}
bool ReachAble(Dice now) {
set<Dice> hoge;
queue<Dice> next;
next.push(now);
hoge.insert(now);
while (next.empty() == false) {
Dice seeing = next.front();
next.pop();
if (seeing == *this)
return true;
seeing.RtoL();
if (hoge.count(seeing) == 0) {
hoge.insert(seeing);
next.push(seeing);
}
seeing.LtoR();
seeing.LtoR();
if (hoge.count(seeing) == 0) {
hoge.insert(seeing);
next.push(seeing);
}
seeing.RtoL();
seeing.UtoD();
if (hoge.count(seeing) == 0) {
hoge.insert(seeing);
next.push(seeing);
}
seeing.DtoU();
seeing.DtoU();
if (hoge.count(seeing) == 0) {
hoge.insert(seeing);
next.push(seeing);
}
}
return false;
}
bool operator==(const Dice &a) {
for (int q = 0; q < 6; ++q) {
if (a.vertexs[q] != (*this).vertexs[q]) {
return false;
}
}
return true;
}
bool operator<(const Dice &a) const { return (*this).vertexs < a.vertexs; }
};
pair<Dice, Dice> TwoDimDice(int center, int up) {
int target = 1;
while (true) {
if (center != target && 7 - center != target && up != target &&
7 - up != target) {
break;
}
target++;
}
return mp(
Dice(vector<ll>{up, target, center, 7 - target, 7 - center, 7 - up}),
Dice(vector<ll>{up, 7 - target, center, target, 7 - center, 7 - up}));
}
tuple<Dice, Dice, Dice, Dice> OneDimDice(int center) {
int bo = min(center, 7 - center);
pair<int, int> goa;
if (bo == 1) {
goa = mp(2, 3);
} else if (bo == 2) {
goa = mp(1, 3);
} else if (bo == 3) {
goa = mp(1, 2);
}
tuple<Dice, Dice, Dice, Dice> now =
make_tuple(Dice(vector<ll>{goa.first, goa.second, center, 7 - goa.second,
7 - center, 7 - goa.first}),
Dice(vector<ll>{goa.first, 7 - goa.second, center, goa.second,
7 - center, 7 - goa.first}),
Dice(vector<ll>{7 - goa.first, goa.second, center,
7 - goa.second, 7 - center, goa.first}),
Dice(vector<ll>{7 - goa.first, 7 - goa.second, center,
goa.second, 7 - center, goa.first}));
return now;
}
class HLDecomposition {
public:
vector<vector<int>> vertexs;
vector<int> depth;
vector<int> backs;
vector<int> connections;
vector<int> zip, unzip;
HLDecomposition(int n) {
vertexs = vector<vector<int>>(n, vector<int>());
depth = vector<int>(n);
zip = vector<int>(n);
unzip = zip;
}
void add_edge(int a, int b) {
vertexs[a].push_back(b);
vertexs[b].push_back(a);
}
int depth_dfs(int now, int back) {
depth[now] = 0;
for (auto x : vertexs[now]) {
if (x == back)
continue;
depth[now] = max(depth[now], 1 + depth_dfs(x, now));
}
return depth[now];
}
void dfs(int now, int backing) {
zip[now] = backs.size();
unzip[backs.size()] = now;
backs.push_back(backing);
int now_max = -1;
int itr = -1;
for (auto x : vertexs[now]) {
if (depth[x] > depth[now])
continue;
if (now_max < depth[x]) {
now_max = depth[x];
itr = x;
}
}
if (itr == -1)
return;
connections.push_back(connections.back());
dfs(itr, backing);
for (auto x : vertexs[now]) {
if (depth[x] > depth[now])
continue;
if (x == itr)
continue;
connections.push_back(zip[now]);
dfs(x, backs.size());
}
return;
}
void build() {
depth_dfs(0, -1);
connections.push_back(-1);
dfs(0, -1);
}
vector<pair<int, int>> query(int a, int b) {
a = zip[a];
b = zip[b];
vector<pair<int, int>> ans;
while (backs[a] != backs[b]) {
if (a < b)
swap(a, b);
ans.push_back(mp(backs[a], a + 1));
a = connections[a];
}
if (a > b)
swap(a, b);
ans.push_back(mp(a, b + 1));
return ans;
}
int lca(int a, int b) {
a = zip[a];
b = zip[b];
while (backs[a] != backs[b]) {
if (a < b)
swap(a, b);
a = connections[a];
}
return unzip[min(a, b)];
}
};
void init() {
iostream::sync_with_stdio(false);
cout << fixed << setprecision(20);
}
#define int ll
int op(int a, int b) { return max(a, b); };
int e() { return 0LL; }
int bs;
auto geko(int x) { return x < bs; }
void solve() {
int n, query;
cin >> n >> query;
vector<int> inputs;
REP(i, n) {
int a;
cin >> a;
inputs.push_back(a);
}
segtree<int, op, e> seg(inputs);
REP(i, query) {
int a, b, c;
cin >> a >> b >> c;
if (a == 1) {
b--;
seg.set(b, c);
continue;
}
if (a == 2) {
b--;
cout << seg.prod(b, c) << endl;
continue;
}
bs = c;
b--;
cout << seg.max_right<geko>(b) + 1 << endl;
}
}
#undef int
int main() {
init();
int t = 1;
REP(tea, t)
solve();
}
| #define _CRT_SECURE_NO_WARNINGS
#define _USE_MATH_DEFINES
#define _SILENCE_ALL_CXX17_DEPRECATION_WARNINGS
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma comment(linker, "/STACK:526000000")
#include "bits/stdc++.h"
/*
Here starts the AtCoder STL.
*/
#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int> &s, int upper) {
int n = int(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int> &lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n)
continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1)
sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) <
// 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v)
v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1)
return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1)
r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1)
return false;
if (n == 2 || n == 7 || n == 61)
return true;
if (n % 2 == 0)
return false;
long long d = n - 1;
while (d % 2 == 0)
d /= 2;
{
long long a = 2;
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
{
long long a = 7;
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
{
long long a = 61;
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0)
return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0)
m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2)
return 1;
if (m == 167772161)
return 3;
if (m == 469762049)
return 3;
if (m == 754974721)
return 11;
if (m == 998244353)
return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0)
x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok)
return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(int n, const std::vector<std::pair<int, E>> &edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
auto g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v)
break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1)
dfs(dfs, i);
}
for (auto &x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second)
counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
private:
int _n;
struct edge {
int to;
};
std::vector<std::pair<int, edge>> edges;
};
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value, make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned =
typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0)
x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v -= rhs._v;
if (_v >= umod())
_v += umod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0)
x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += mod() - rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator*=(const mint &rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
}; // namespace internal
struct dsu {
public:
dsu() : _n(0) {}
dsu(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y)
return x;
if (-parent_or_size[x] < -parent_or_size[y])
std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0)
return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1)
return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1)
r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long> &r,
const std::vector<long long> &m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g % (u1*g) = (r1 - r0) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g)
return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0)
r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
long long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
private:
internal::scc_graph internal;
};
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap, cost});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result(m);
for (int i = 0; i < m; i++) {
result[i] = get_edge(i);
}
return result;
}
std::pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, std::numeric_limits<Cap>::max());
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants (C = maxcost):
// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
std::vector<Cost> dual(_n, 0), dist(_n);
std::vector<int> pv(_n), pe(_n);
std::vector<bool> vis(_n);
auto dual_ref = [&]() {
std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
std::fill(pv.begin(), pv.end(), -1);
std::fill(pe.begin(), pe.end(), -1);
std::fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
std::priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v] = shortest(s, v) + dual[s] - dual[v]
// dist[v] >= 0 (all reduced cost are positive)
// dist[v] <= (n-1)C
for (int i = 0; i < int(g[v].size()); i++) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to] + dual[v]| <= (n-1)C
// cost <= C - -(n-1)C + 0 = nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t]) {
return false;
}
for (int v = 0; v < _n; v++) {
if (!vis[v])
continue;
// dual[v] = dual[v] - dist[t] + dist[v]
// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) +
// (shortest(s, v) + dual[s] - dual[v]) = - shortest(s, t) +
// dual[t] + shortest(s, v) = shortest(s, v) - shortest(s, t) >=
// 0 - (n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost = -1;
std::vector<std::pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = std::min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost = cost;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push(r >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
struct two_sat {
public:
two_sat() : _n(0), scc(0) {}
two_sat(int n) : _n(n), _answer(n), scc(2 * n) {}
void add_clause(int i, bool f, int j, bool g) {
assert(0 <= i && i < _n);
assert(0 <= j && j < _n);
scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0));
scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0));
}
bool satisfiable() {
auto id = scc.scc_ids().second;
for (int i = 0; i < _n; i++) {
if (id[2 * i] == id[2 * i + 1])
return false;
_answer[i] = id[2 * i] < id[2 * i + 1];
}
return true;
}
std::vector<bool> answer() { return _answer; }
private:
int _n;
std::vector<bool> _answer;
internal::scc_graph scc;
};
std::vector<int> suffix_array(const std::vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T> &s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T> &s,
const std::vector<int> &sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h])
break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string &s, const std::vector<int> &sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T> &s) {
int n = int(s.size());
if (n == 0)
return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int &k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k])
k++;
if (j + z[j] < i + z[i])
j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
namespace internal {
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_e[30]; // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now;
now *= ies[i];
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now;
a[i + offset] = l + r;
a[i + offset + p] = l - r;
}
now *= sum_e[bsf(~(unsigned int)(s))];
}
}
}
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly_inv(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_ie[30]; // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now;
now *= es[i];
}
}
for (int ph = h; ph >= 1; ph--) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = l + r;
a[i + offset + p] =
(unsigned long long)(mint::mod() + l.val() - r.val()) * inow.val();
}
inow *= sum_ie[bsf(~(unsigned int)(s))];
}
}
}
}; // namespace internal
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
std::vector<mint> convolution(std::vector<mint> a, std::vector<mint> b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
if (std::min(n, m) <= 60) {
if (n < m) {
std::swap(n, m);
std::swap(a, b);
}
std::vector<mint> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
}
}
return ans;
}
int z = 1 << internal::ceil_pow2(n + m - 1);
a.resize(z);
internal::butterfly(a);
b.resize(z);
internal::butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
}
internal::butterfly_inv(a);
a.resize(n + m - 1);
mint iz = mint(z).inv();
for (int i = 0; i < n + m - 1; i++)
a[i] *= iz;
return a;
}
template <unsigned int mod = 998244353, class T,
std::enable_if_t<internal::is_integral<T>::value> * = nullptr>
std::vector<T> convolution(const std::vector<T> &a, const std::vector<T> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
using mint = static_modint<mod>;
std::vector<mint> a2(n), b2(m);
for (int i = 0; i < n; i++) {
a2[i] = mint(a[i]);
}
for (int i = 0; i < m; i++) {
b2[i] = mint(b[i]);
}
auto c2 = convolution(move(a2), move(b2));
std::vector<T> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
c[i] = c2[i].val();
}
return c;
}
std::vector<long long> convolution_ll(const std::vector<long long> &a,
const std::vector<long long> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
static constexpr unsigned long long MOD1 = 754974721; // 2^24
static constexpr unsigned long long MOD2 = 167772161; // 2^25
static constexpr unsigned long long MOD3 = 469762049; // 2^26
static constexpr unsigned long long M2M3 = MOD2 * MOD3;
static constexpr unsigned long long M1M3 = MOD1 * MOD3;
static constexpr unsigned long long M1M2 = MOD1 * MOD2;
static constexpr unsigned long long M1M2M3 = MOD1 * MOD2 * MOD3;
static constexpr unsigned long long i1 =
internal::inv_gcd(MOD2 * MOD3, MOD1).second;
static constexpr unsigned long long i2 =
internal::inv_gcd(MOD1 * MOD3, MOD2).second;
static constexpr unsigned long long i3 =
internal::inv_gcd(MOD1 * MOD2, MOD3).second;
auto c1 = convolution<MOD1>(a, b);
auto c2 = convolution<MOD2>(a, b);
auto c3 = convolution<MOD3>(a, b);
std::vector<long long> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
unsigned long long x = 0;
x += (c1[i] * i1) % MOD1 * M2M3;
x += (c2[i] * i2) % MOD2 * M1M3;
x += (c3[i] * i3) % MOD3 * M1M2;
// B = 2^63, -B <= x, r(real value) < B
// (x, x - M, x - 2M, or x - 3M) = r (mod 2B)
// r = c1[i] (mod MOD1)
// focus on MOD1
// r = x, x - M', x - 2M', x - 3M' (M' = M % 2^64) (mod 2B)
// r = x,
// x - M' + (0 or 2B),
// x - 2M' + (0, 2B or 4B),
// x - 3M' + (0, 2B, 4B or 6B) (without mod!)
// (r - x) = 0, (0)
// - M' + (0 or 2B), (1)
// -2M' + (0 or 2B or 4B), (2)
// -3M' + (0 or 2B or 4B or 6B) (3) (mod MOD1)
// we checked that
// ((1) mod MOD1) mod 5 = 2
// ((2) mod MOD1) mod 5 = 3
// ((3) mod MOD1) mod 5 = 4
long long diff =
c1[i] - internal::safe_mod((long long)(x), (long long)(MOD1));
if (diff < 0)
diff += MOD1;
static constexpr unsigned long long offset[5] = {0, 0, M1M2M3, 2 * M1M2M3,
3 * M1M2M3};
x -= offset[diff % 5];
c[i] = x;
}
return c;
}
} // namespace atcoder
#endif
#define int ll
using namespace std;
using namespace atcoder;
typedef string::const_iterator State;
#define eps 1e-8L
#define MAX_MOD 1000000007LL
#define GYAKU 500000004LL
#define MOD 998244353LL
#define pb push_back
#define mp make_pair
typedef long long ll;
typedef long double ld;
#define REP(a, b) for (long long(a) = 0; (a) < (b); ++(a))
#define ALL(x) (x).begin(), (x).end()
unsigned long xor128() {
static unsigned long x = 123456789, y = 362436069, z = 521288629,
w = 88675123;
unsigned long t = (x ^ (x << 11));
x = y;
y = z;
z = w;
return (w = (w ^ (w >> 19)) ^ (t ^ (t >> 8)));
};
typedef complex<long double> Point;
typedef pair<complex<long double>, complex<long double>> Line;
typedef struct Circle {
complex<long double> center;
long double r;
} Circle;
long double dot(Point a, Point b) {
return (a.real() * b.real() + a.imag() * b.imag());
}
long double cross(Point a, Point b) {
return (a.real() * b.imag() - a.imag() * b.real());
}
long double Dist_Line_Point(Line a, Point b) {
if (dot(a.second - a.first, b - a.first) < eps)
return abs(b - a.first);
if (dot(a.first - a.second, b - a.second) < eps)
return abs(b - a.second);
return abs(cross(a.second - a.first, b - a.first)) / abs(a.second - a.first);
}
int is_intersected_ls(Line a, Line b) {
return (cross(a.second - a.first, b.first - a.first) *
cross(a.second - a.first, b.second - a.first) <
eps) &&
(cross(b.second - b.first, a.first - b.first) *
cross(b.second - b.first, a.second - b.first) <
eps);
}
Point intersection_l(Line a, Line b) {
Point da = a.second - a.first;
Point db = b.second - b.first;
return a.first + da * cross(db, b.first - a.first) / cross(db, da);
}
long double Dist_Line_Line(Line a, Line b) {
if (is_intersected_ls(a, b) == 1) {
return 0;
}
return min({Dist_Line_Point(a, b.first), Dist_Line_Point(a, b.second),
Dist_Line_Point(b, a.first), Dist_Line_Point(b, a.second)});
}
pair<Point, Point> intersection_Circle_Circle(Circle a, Circle b) {
long double dist = abs(a.center - b.center);
assert(dist <= eps + a.r + b.r);
assert(dist + eps >= abs(a.r - b.r));
Point target = b.center - a.center;
long double pointer =
target.real() * target.real() + target.imag() * target.imag();
long double aa = pointer + a.r * a.r - b.r * b.r;
aa /= 2.0L;
Point l{(aa * target.real() +
target.imag() * sqrt(pointer * a.r * a.r - aa * aa)) /
pointer,
(aa * target.imag() -
target.real() * sqrt(pointer * a.r * a.r - aa * aa)) /
pointer};
Point r{(aa * target.real() -
target.imag() * sqrt(pointer * a.r * a.r - aa * aa)) /
pointer,
(aa * target.imag() +
target.real() * sqrt(pointer * a.r * a.r - aa * aa)) /
pointer};
r = r + a.center;
l = l + a.center;
return mp(l, r);
}
// end of geometry
ll gcd(ll a, ll b) {
if (b == 0)
return a;
return gcd(b, a % b);
}
template <typename A> A pows(A val, ll b) {
assert(b >= 1);
A ans = val;
b--;
while (b) {
if (b % 2) {
ans *= val;
}
val *= val;
b /= 2LL;
}
return ans;
}
template <typename A> class Compressor {
public:
bool is_zipped = false;
map<A, ll> zipper;
map<ll, A> unzipper;
queue<A> fetcher;
Compressor() {
is_zipped = false;
zipper.clear();
unzipper.clear();
}
void add(A now) {
assert(is_zipped == false);
zipper[now] = 1;
fetcher.push(now);
}
void exec() {
assert(is_zipped == false);
int cnt = 0;
for (auto i = zipper.begin(); i != zipper.end(); ++i) {
i->second = cnt;
unzipper[cnt] = i->first;
cnt++;
}
is_zipped = true;
}
ll fetch() {
assert(is_zipped == true);
A hoge = fetcher.front();
fetcher.pop();
return zipper[hoge];
}
ll zip(A now) {
assert(is_zipped == true);
assert(zipper.find(now) != zipper.end());
return zipper[now];
}
A unzip(ll a) {
assert(is_zipped == true);
assert(a < unzipper.size());
return unzipper[a];
}
ll next(A now) {
auto x = zipper.upper_bound(now);
if (x == zipper.end())
return zipper.size();
return (ll)((*x).second);
}
ll back(A now) {
auto x = zipper.lower_bound(now);
if (x == zipper.begin())
return -1;
x--;
return (ll)((*x).second);
}
};
template <typename A> class Matrix {
public:
vector<vector<A>> data;
Matrix(vector<vector<A>> a) : data(a) {}
Matrix operator+(const Matrix obj) {
vector<vector<A>> ans;
assert(obj.data.size() == this->data.size());
assert(obj.data[0].size() == this->data[0].size());
REP(i, obj.data.size()) {
ans.push_back(vector<A>());
REP(q, obj.data[i].size()) {
A hoge = obj.data[i][q] + (this->data[i][q]);
ans.back().push_back(hoge);
}
}
return Matrix(ans);
}
Matrix operator-(const Matrix obj) {
vector<vector<A>> ans;
assert(obj.data.size() == this->data.size());
assert(obj.data[0].size() == this->data[0].size());
REP(i, obj.data.size()) {
ans.push_back(vector<A>());
REP(q, obj.data[i].size()) {
A hoge = this->data[i][q] - obj.data[i][q];
ans.back().push_back(hoge);
}
}
return Matrix(ans);
}
Matrix operator*(const Matrix obj) {
vector<vector<A>> ans;
assert(obj.data.size() == this->data[0].size());
REP(i, this->data.size()) {
ans.push_back(vector<A>());
REP(q, obj.data[0].size()) {
A hoge = ((this->data[i][0]) * (obj.data[0][q]));
for (int t = 1; t < obj.data.size(); ++t) {
hoge += ((this->data[i][t]) * obj.data[t][q]);
}
ans.back().push_back(hoge);
}
}
return Matrix(ans);
}
Matrix &operator*=(const Matrix obj) {
*this = (*this * obj);
return *this;
}
Matrix &operator+=(const Matrix obj) {
*this = (*this + obj);
return *this;
}
Matrix &operator-=(const Matrix obj) {
*this = (*this - obj);
return *this;
}
};
struct Fraction {
ll a;
ll b;
Fraction() : a(0LL), b(1LL) {}
Fraction(ll c, ll d) {
int hoge = gcd(llabs(c), llabs(d));
if (hoge != 0) {
c /= hoge;
d /= hoge;
if (d < 0 or (d == 0 and c < 0)) {
d *= -1;
c *= -1;
}
}
a = c;
b = d;
}
bool operator<(Fraction rhs) const {
if (a < 0 and rhs.a > 0)
return 1;
if (a > 0 and rhs.a < 0)
return 0;
return a * rhs.b < rhs.a * b;
}
bool operator==(Fraction rhs) const { return a == rhs.a and b == rhs.b; }
};
class Dice {
public:
vector<ll> vertexs;
// Up: 0,Left: 1,Center: 2,Right: 3,Adj: 4, Down: 5
Dice(vector<ll> init) : vertexs(init) {}
// Look from Center
void RtoL() {
for (int q = 1; q < 4; ++q) {
swap(vertexs[q], vertexs[q + 1]);
}
}
void LtoR() {
for (int q = 3; q >= 1; --q) {
swap(vertexs[q], vertexs[q + 1]);
}
}
void UtoD() {
swap(vertexs[5], vertexs[4]);
swap(vertexs[2], vertexs[5]);
swap(vertexs[0], vertexs[2]);
}
void DtoU() {
swap(vertexs[0], vertexs[2]);
swap(vertexs[2], vertexs[5]);
swap(vertexs[5], vertexs[4]);
}
bool ReachAble(Dice now) {
set<Dice> hoge;
queue<Dice> next;
next.push(now);
hoge.insert(now);
while (next.empty() == false) {
Dice seeing = next.front();
next.pop();
if (seeing == *this)
return true;
seeing.RtoL();
if (hoge.count(seeing) == 0) {
hoge.insert(seeing);
next.push(seeing);
}
seeing.LtoR();
seeing.LtoR();
if (hoge.count(seeing) == 0) {
hoge.insert(seeing);
next.push(seeing);
}
seeing.RtoL();
seeing.UtoD();
if (hoge.count(seeing) == 0) {
hoge.insert(seeing);
next.push(seeing);
}
seeing.DtoU();
seeing.DtoU();
if (hoge.count(seeing) == 0) {
hoge.insert(seeing);
next.push(seeing);
}
}
return false;
}
bool operator==(const Dice &a) {
for (int q = 0; q < 6; ++q) {
if (a.vertexs[q] != (*this).vertexs[q]) {
return false;
}
}
return true;
}
bool operator<(const Dice &a) const { return (*this).vertexs < a.vertexs; }
};
pair<Dice, Dice> TwoDimDice(int center, int up) {
int target = 1;
while (true) {
if (center != target && 7 - center != target && up != target &&
7 - up != target) {
break;
}
target++;
}
return mp(
Dice(vector<ll>{up, target, center, 7 - target, 7 - center, 7 - up}),
Dice(vector<ll>{up, 7 - target, center, target, 7 - center, 7 - up}));
}
tuple<Dice, Dice, Dice, Dice> OneDimDice(int center) {
int bo = min(center, 7 - center);
pair<int, int> goa;
if (bo == 1) {
goa = mp(2, 3);
} else if (bo == 2) {
goa = mp(1, 3);
} else if (bo == 3) {
goa = mp(1, 2);
}
tuple<Dice, Dice, Dice, Dice> now =
make_tuple(Dice(vector<ll>{goa.first, goa.second, center, 7 - goa.second,
7 - center, 7 - goa.first}),
Dice(vector<ll>{goa.first, 7 - goa.second, center, goa.second,
7 - center, 7 - goa.first}),
Dice(vector<ll>{7 - goa.first, goa.second, center,
7 - goa.second, 7 - center, goa.first}),
Dice(vector<ll>{7 - goa.first, 7 - goa.second, center,
goa.second, 7 - center, goa.first}));
return now;
}
class HLDecomposition {
public:
vector<vector<int>> vertexs;
vector<int> depth;
vector<int> backs;
vector<int> connections;
vector<int> zip, unzip;
HLDecomposition(int n) {
vertexs = vector<vector<int>>(n, vector<int>());
depth = vector<int>(n);
zip = vector<int>(n);
unzip = zip;
}
void add_edge(int a, int b) {
vertexs[a].push_back(b);
vertexs[b].push_back(a);
}
int depth_dfs(int now, int back) {
depth[now] = 0;
for (auto x : vertexs[now]) {
if (x == back)
continue;
depth[now] = max(depth[now], 1 + depth_dfs(x, now));
}
return depth[now];
}
void dfs(int now, int backing) {
zip[now] = backs.size();
unzip[backs.size()] = now;
backs.push_back(backing);
int now_max = -1;
int itr = -1;
for (auto x : vertexs[now]) {
if (depth[x] > depth[now])
continue;
if (now_max < depth[x]) {
now_max = depth[x];
itr = x;
}
}
if (itr == -1)
return;
connections.push_back(connections.back());
dfs(itr, backing);
for (auto x : vertexs[now]) {
if (depth[x] > depth[now])
continue;
if (x == itr)
continue;
connections.push_back(zip[now]);
dfs(x, backs.size());
}
return;
}
void build() {
depth_dfs(0, -1);
connections.push_back(-1);
dfs(0, -1);
}
vector<pair<int, int>> query(int a, int b) {
a = zip[a];
b = zip[b];
vector<pair<int, int>> ans;
while (backs[a] != backs[b]) {
if (a < b)
swap(a, b);
ans.push_back(mp(backs[a], a + 1));
a = connections[a];
}
if (a > b)
swap(a, b);
ans.push_back(mp(a, b + 1));
return ans;
}
int lca(int a, int b) {
a = zip[a];
b = zip[b];
while (backs[a] != backs[b]) {
if (a < b)
swap(a, b);
a = connections[a];
}
return unzip[min(a, b)];
}
};
void init() {
iostream::sync_with_stdio(false);
cout << fixed << setprecision(20);
}
#define int ll
int op(int a, int b) { return max(a, b); };
int e() { return -1LL; }
int bs;
auto geko(int x) { return x < bs; }
void solve() {
int n, query;
cin >> n >> query;
vector<int> inputs;
REP(i, n) {
int a;
cin >> a;
inputs.push_back(a);
}
segtree<int, op, e> seg(inputs);
REP(i, query) {
int a, b, c;
cin >> a >> b >> c;
if (a == 1) {
b--;
seg.set(b, c);
continue;
}
if (a == 2) {
b--;
cout << seg.prod(b, c) << endl;
continue;
}
bs = c;
b--;
cout << seg.max_right<geko>(b) + 1 << endl;
}
}
#undef int
int main() {
init();
int t = 1;
REP(tea, t)
solve();
}
| replace | 2,491 | 2,492 | 2,491 | 2,492 | 0 | |
p02567 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < n; i++)
#define Rep(i, n) for (int i = 1; i <= n; i++)
#define sz(x) int(x.size())
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()
#define YesorNo(a) printf(a ? "Yes\n" : "No\n")
#define endl '\n'
#define fi first
#define se second
using ll = long long;
using P = pair<int, int>;
using Pl = pair<ll, ll>;
template <class T> using V = vector<T>;
const int dx[] = {0, 1, 0, -1, 1, 1, -1, -1};
const int dy[] = {1, 0, -1, 0, 1, -1, -1, 1};
const int inf = (1 << 30) - 1;
const ll infll = (1LL << 62) - 1;
ll ceil(const ll &a, const ll &b) { return ((a) + (b)-1) / b; }
template <class T> inline bool chmin(T &a, T b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template <class T> inline bool chmax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
struct INF {
template <class T> operator T() { return numeric_limits<T>::max() / 2; }
} INF;
template <class T> struct SegmentTree { // セグメント木
const T INF = numeric_limits<T>::max();
int n;
int size;
vector<T> mins, maxs;
SegmentTree(int _n) {
n = 1;
size = _n;
while (n < _n)
n *= 2;
mins.assign(n, INF);
maxs.assign(n * 2, -INF);
}
void update(int k, T a) { // val[k] = a;
k += n - 1;
maxs[k] = mins[k] = a;
while (k > 0) {
k = (k - 1) / 2;
mins[k] = min(mins[k * 2 + 1], mins[k * 2 + 2]);
maxs[k] = max(maxs[k * 2 + 1], maxs[k * 2 + 2]);
}
}
T Min(int l, int r) { // 閉区間 [l,r] の最小値
return _min(l, r + 1, 0, 0, n);
}
T _min(int a, int b, int k, int l, int r) {
if (r <= a || b <= l)
return INF;
if (a <= l && r <= b)
return mins[k];
else {
T vl = _min(a, b, k * 2 + 1, l, (l + r) / 2);
T vr = _min(a, b, k * 2 + 2, (l + r) / 2, r);
return min(vl, vr);
}
}
T Max(int l, int r) { // 閉区間 [l,r] の最大値
return _max(l, r + 1, 0, 0, n);
}
T _max(int a, int b, int k, int l, int r) {
if (r <= a || b <= l)
return -INF;
if (a <= l && r <= b)
return maxs[k];
else {
T vl = _max(a, b, k * 2 + 1, l, (l + r) / 2);
T vr = _max(a, b, k * 2 + 2, (l + r) / 2, r);
return max(vl, vr);
}
}
// 閉区間 [l,r] で x 以上の数が最初に現れるインデックスを返す
// 無ければ一番後ろ (= r) を返す
int lower_bound(int l, int r, T x) {
while (abs(l - r) > 0) {
int mid = (l + r) / 2;
if (Max(l, mid) >= x)
r = mid;
else
l = mid + 1;
}
return Max(r, r) >= x ? l : r + 1;
}
};
int main() {
int n, q;
cin >> n >> q;
SegmentTree<int> st(n);
rep(i, n) {
int a;
cin >> a;
st.update(i, a);
}
rep(i, q) {
int t, a, b;
cin >> t >> a >> b;
if (t == 1) {
a--;
st.update(a, b);
}
if (t == 2) {
a--;
b--;
cout << st.Max(a, b) << endl;
}
if (t == 3) {
a--;
cout << st.lower_bound(a, n - 1, b) + 1 << endl;
}
}
} | #include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < n; i++)
#define Rep(i, n) for (int i = 1; i <= n; i++)
#define sz(x) int(x.size())
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()
#define YesorNo(a) printf(a ? "Yes\n" : "No\n")
#define endl '\n'
#define fi first
#define se second
using ll = long long;
using P = pair<int, int>;
using Pl = pair<ll, ll>;
template <class T> using V = vector<T>;
const int dx[] = {0, 1, 0, -1, 1, 1, -1, -1};
const int dy[] = {1, 0, -1, 0, 1, -1, -1, 1};
const int inf = (1 << 30) - 1;
const ll infll = (1LL << 62) - 1;
ll ceil(const ll &a, const ll &b) { return ((a) + (b)-1) / b; }
template <class T> inline bool chmin(T &a, T b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template <class T> inline bool chmax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
struct INF {
template <class T> operator T() { return numeric_limits<T>::max() / 2; }
} INF;
template <class T> struct SegmentTree { // セグメント木
const T INF = numeric_limits<T>::max();
int n;
int size;
vector<T> mins, maxs;
SegmentTree(int _n) {
n = 1;
size = _n;
while (n < _n)
n *= 2;
mins.assign(n * 2, INF);
maxs.assign(n * 2, -INF);
}
void update(int k, T a) { // val[k] = a;
k += n - 1;
maxs[k] = mins[k] = a;
while (k > 0) {
k = (k - 1) / 2;
mins[k] = min(mins[k * 2 + 1], mins[k * 2 + 2]);
maxs[k] = max(maxs[k * 2 + 1], maxs[k * 2 + 2]);
}
}
T Min(int l, int r) { // 閉区間 [l,r] の最小値
return _min(l, r + 1, 0, 0, n);
}
T _min(int a, int b, int k, int l, int r) {
if (r <= a || b <= l)
return INF;
if (a <= l && r <= b)
return mins[k];
else {
T vl = _min(a, b, k * 2 + 1, l, (l + r) / 2);
T vr = _min(a, b, k * 2 + 2, (l + r) / 2, r);
return min(vl, vr);
}
}
T Max(int l, int r) { // 閉区間 [l,r] の最大値
return _max(l, r + 1, 0, 0, n);
}
T _max(int a, int b, int k, int l, int r) {
if (r <= a || b <= l)
return -INF;
if (a <= l && r <= b)
return maxs[k];
else {
T vl = _max(a, b, k * 2 + 1, l, (l + r) / 2);
T vr = _max(a, b, k * 2 + 2, (l + r) / 2, r);
return max(vl, vr);
}
}
// 閉区間 [l,r] で x 以上の数が最初に現れるインデックスを返す
// 無ければ一番後ろ (= r) を返す
int lower_bound(int l, int r, T x) {
while (abs(l - r) > 0) {
int mid = (l + r) / 2;
if (Max(l, mid) >= x)
r = mid;
else
l = mid + 1;
}
return Max(r, r) >= x ? l : r + 1;
}
};
int main() {
int n, q;
cin >> n >> q;
SegmentTree<int> st(n);
rep(i, n) {
int a;
cin >> a;
st.update(i, a);
}
rep(i, q) {
int t, a, b;
cin >> t >> a >> b;
if (t == 1) {
a--;
st.update(a, b);
}
if (t == 2) {
a--;
b--;
cout << st.Max(a, b) << endl;
}
if (t == 3) {
a--;
cout << st.lower_bound(a, n - 1, b) + 1 << endl;
}
}
} | replace | 52 | 53 | 52 | 53 | -6 | munmap_chunk(): invalid pointer
|
p02567 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define REP(i, n) for (int i = 0; i < n; i++)
#define REPR(i, n) for (int i = n - 1; i >= 0; i--)
#define FOR(i, m, n) for (int i = m; i < n; i++)
#define ALL(v) v.begin(), v.end()
#define SIZE(x) ll(x.size())
using P = pair<int, int>;
template <class T> inline bool chmax(T &a, T b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T> inline bool chmin(T &a, T b) {
if (a > b) {
a = b;
return 1;
}
return 0;
}
const int INF = 2e9;
const ll LINF = (1LL << 60);
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(vector<S>(n, e())) {}
segtree(const vector<S> &v) : _n(int(v.size())) {
log = 0;
while ((1U << log) < (unsigned int)(_n))
log++;
size = 1 << log;
d = vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--)
update(i);
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
int op(int a, int b) { return max(a, b); }
int e() { return 0; }
int target;
bool f(int v) { return v < target; }
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, q;
cin >> n >> q;
vector<int> a(n);
REP(i, n) cin >> a[i];
segtree<int, op, e> seg(a);
while (q--) {
int t;
cin >> t;
if (t == 1) {
int x, v;
cin >> x >> v;
x--;
seg.set(x, v);
} else if (t == 2) {
int l, r;
cin >> l >> r;
l--;
cout << seg.prod(l, r) << '\n';
} else {
int x;
cin >> x >> target;
x--;
cout << seg.max_right<f>(x) + 1 << '\n';
}
}
return 0;
}
| #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define REP(i, n) for (int i = 0; i < n; i++)
#define REPR(i, n) for (int i = n - 1; i >= 0; i--)
#define FOR(i, m, n) for (int i = m; i < n; i++)
#define ALL(v) v.begin(), v.end()
#define SIZE(x) ll(x.size())
using P = pair<int, int>;
template <class T> inline bool chmax(T &a, T b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T> inline bool chmin(T &a, T b) {
if (a > b) {
a = b;
return 1;
}
return 0;
}
const int INF = 2e9;
const ll LINF = (1LL << 60);
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(vector<S>(n, e())) {}
segtree(const vector<S> &v) : _n(int(v.size())) {
log = 0;
while ((1U << log) < (unsigned int)(_n))
log++;
size = 1 << log;
d = vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--)
update(i);
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
int op(int a, int b) { return max(a, b); }
int e() { return -1; }
int target;
bool f(int v) { return v < target; }
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, q;
cin >> n >> q;
vector<int> a(n);
REP(i, n) cin >> a[i];
segtree<int, op, e> seg(a);
while (q--) {
int t;
cin >> t;
if (t == 1) {
int x, v;
cin >> x >> v;
x--;
seg.set(x, v);
} else if (t == 2) {
int l, r;
cin >> l >> r;
l--;
cout << seg.prod(l, r) << '\n';
} else {
int x;
cin >> x >> target;
x--;
cout << seg.max_right<f>(x) + 1 << '\n';
}
}
return 0;
}
| replace | 141 | 142 | 141 | 142 | 0 | |
p02567 | C++ | Runtime Error | #include <bits/stdc++.h>
#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_BITOP_HPP
#ifndef ATCODER_INTERNAL_MATH_HPP
#define ATCODER_INTERNAL_MATH_HPP 1
#include <utility>
namespace atcoder {
namespace internal {
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) <
// 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v)
v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1)
return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1)
r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1)
return false;
if (n == 2 || n == 7 || n == 61)
return true;
if (n % 2 == 0)
return false;
long long d = n - 1;
while (d % 2 == 0)
d /= 2;
for (long long a : {2, 7, 61}) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0)
return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0)
m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2)
return 1;
if (m == 167772161)
return 3;
if (m == 469762049)
return 3;
if (m == 754974721)
return 11;
if (m == 998244353)
return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0)
x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok)
return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_MATH_HPP
#ifndef ATCODER_INTERNAL_QUEUE_HPP
#define ATCODER_INTERNAL_QUEUE_HPP 1
#include <vector>
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_QUEUE_HPP
#ifndef ATCODER_INTERNAL_SCC_HPP
#define ATCODER_INTERNAL_SCC_HPP 1
#include <algorithm>
#include <utility>
#include <vector>
namespace atcoder {
namespace internal {
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(int n, const std::vector<std::pair<int, E>> &edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
auto g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v)
break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1)
dfs(dfs, i);
}
for (auto &x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second)
counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
private:
int _n;
struct edge {
int to;
};
std::vector<std::pair<int, edge>> edges;
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_SCC_HPP
#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value, make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned =
typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_TYPE_TRAITS_HPP
#ifndef ATCODER_MODINT_HPP
#define ATCODER_MODINT_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0)
x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v -= rhs._v;
if (_v >= umod())
_v += umod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0)
x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += mod() - rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator*=(const mint &rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_MODINT_HPP
#ifndef ATCODER_CONVOLUTION_HPP
#define ATCODER_CONVOLUTION_HPP 1
#include <algorithm>
#include <array>
#include <cassert>
#include <type_traits>
#include <vector>
namespace atcoder {
namespace internal {
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_e[30]; // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now;
now *= ies[i];
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now;
a[i + offset] = l + r;
a[i + offset + p] = l - r;
}
now *= sum_e[bsf(~(unsigned int)(s))];
}
}
}
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly_inv(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_ie[30]; // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now;
now *= es[i];
}
}
for (int ph = h; ph >= 1; ph--) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = l + r;
a[i + offset + p] =
(unsigned long long)(mint::mod() + l.val() - r.val()) * inow.val();
}
inow *= sum_ie[bsf(~(unsigned int)(s))];
}
}
}
} // namespace internal
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
std::vector<mint> convolution(std::vector<mint> a, std::vector<mint> b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
if (std::min(n, m) <= 60) {
if (n < m) {
std::swap(n, m);
std::swap(a, b);
}
std::vector<mint> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
}
}
return ans;
}
int z = 1 << internal::ceil_pow2(n + m - 1);
a.resize(z);
internal::butterfly(a);
b.resize(z);
internal::butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
}
internal::butterfly_inv(a);
a.resize(n + m - 1);
mint iz = mint(z).inv();
for (int i = 0; i < n + m - 1; i++)
a[i] *= iz;
return a;
}
template <unsigned int mod = 998244353, class T,
std::enable_if_t<internal::is_integral<T>::value> * = nullptr>
std::vector<T> convolution(const std::vector<T> &a, const std::vector<T> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
using mint = static_modint<mod>;
std::vector<mint> a2(n), b2(m);
for (int i = 0; i < n; i++) {
a2[i] = mint(a[i]);
}
for (int i = 0; i < m; i++) {
b2[i] = mint(b[i]);
}
auto c2 = convolution(move(a2), move(b2));
std::vector<T> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
c[i] = c2[i].val();
}
return c;
}
std::vector<long long> convolution_ll(const std::vector<long long> &a,
const std::vector<long long> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
static constexpr unsigned long long MOD1 = 754974721; // 2^24
static constexpr unsigned long long MOD2 = 167772161; // 2^25
static constexpr unsigned long long MOD3 = 469762049; // 2^26
static constexpr unsigned long long M2M3 = MOD2 * MOD3;
static constexpr unsigned long long M1M3 = MOD1 * MOD3;
static constexpr unsigned long long M1M2 = MOD1 * MOD2;
static constexpr unsigned long long M1M2M3 = MOD1 * MOD2 * MOD3;
static constexpr unsigned long long i1 =
internal::inv_gcd(MOD2 * MOD3, MOD1).second;
static constexpr unsigned long long i2 =
internal::inv_gcd(MOD1 * MOD3, MOD2).second;
static constexpr unsigned long long i3 =
internal::inv_gcd(MOD1 * MOD2, MOD3).second;
auto c1 = convolution<MOD1>(a, b);
auto c2 = convolution<MOD2>(a, b);
auto c3 = convolution<MOD3>(a, b);
std::vector<long long> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
unsigned long long x = 0;
x += (c1[i] * i1) % MOD1 * M2M3;
x += (c2[i] * i2) % MOD2 * M1M3;
x += (c3[i] * i3) % MOD3 * M1M2;
// B = 2^63, -B <= x, r(real value) < B
// (x, x - M, x - 2M, or x - 3M) = r (mod 2B)
// r = c1[i] (mod MOD1)
// focus on MOD1
// r = x, x - M', x - 2M', x - 3M' (M' = M % 2^64) (mod 2B)
// r = x,
// x - M' + (0 or 2B),
// x - 2M' + (0, 2B or 4B),
// x - 3M' + (0, 2B, 4B or 6B) (without mod!)
// (r - x) = 0, (0)
// - M' + (0 or 2B), (1)
// -2M' + (0 or 2B or 4B), (2)
// -3M' + (0 or 2B or 4B or 6B) (3) (mod MOD1)
// we checked that
// ((1) mod MOD1) mod 5 = 2
// ((2) mod MOD1) mod 5 = 3
// ((3) mod MOD1) mod 5 = 4
long long diff =
c1[i] - internal::safe_mod((long long)(x), (long long)(MOD1));
if (diff < 0)
diff += MOD1;
static constexpr unsigned long long offset[5] = {0, 0, M1M2M3, 2 * M1M2M3,
3 * M1M2M3};
x -= offset[diff % 5];
c[i] = x;
}
return c;
}
} // namespace atcoder
#endif // ATCODER_CONVOLUTION_HPP
#ifndef ATCODER_DSU_HPP
#define ATCODER_DSU_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
// Implement (union by size) + (path compression)
// Reference:
// Zvi Galil and Giuseppe F. Italiano,
// Data structures and algorithms for disjoint set union problems
struct dsu {
public:
dsu() : _n(0) {}
dsu(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y)
return x;
if (-parent_or_size[x] < -parent_or_size[y])
std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0)
return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
} // namespace atcoder
#endif // ATCODER_DSU_HPP
#ifndef ATCODER_FENWICKTREE_HPP
#define ATCODER_FENWICKTREE_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
} // namespace atcoder
#endif // ATCODER_FENWICKTREE_HPP
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push(r >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP
#ifndef ATCODER_MATH_HPP
#define ATCODER_MATH_HPP 1
#include <algorithm>
#include <cassert>
#include <tuple>
#include <vector>
namespace atcoder {
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1)
return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1)
r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long> &r,
const std::vector<long long> &m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g % (u1*g) = (r1 - r0) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g)
return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0)
r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
long long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
} // namespace atcoder
#endif // ATCODER_MATH_HPP
#ifndef ATCODER_MAXFLOW_HPP
#define ATCODER_MAXFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MAXFLOW_HPP
#ifndef ATCODER_MINCOSTFLOW_HPP
#define ATCODER_MINCOSTFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap, cost});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result(m);
for (int i = 0; i < m; i++) {
result[i] = get_edge(i);
}
return result;
}
std::pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, std::numeric_limits<Cap>::max());
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants (C = maxcost):
// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
std::vector<Cost> dual(_n, 0), dist(_n);
std::vector<int> pv(_n), pe(_n);
std::vector<bool> vis(_n);
auto dual_ref = [&]() {
std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
std::fill(pv.begin(), pv.end(), -1);
std::fill(pe.begin(), pe.end(), -1);
std::fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
std::priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v] = shortest(s, v) + dual[s] - dual[v]
// dist[v] >= 0 (all reduced cost are positive)
// dist[v] <= (n-1)C
for (int i = 0; i < int(g[v].size()); i++) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to] + dual[v]| <= (n-1)C
// cost <= C - -(n-1)C + 0 = nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t]) {
return false;
}
for (int v = 0; v < _n; v++) {
if (!vis[v])
continue;
// dual[v] = dual[v] - dist[t] + dist[v]
// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) +
// (shortest(s, v) + dual[s] - dual[v]) = - shortest(s, t) +
// dual[t] + shortest(s, v) = shortest(s, v) - shortest(s, t) >=
// 0 - (n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost = -1;
std::vector<std::pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = std::min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost = cost;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MINCOSTFLOW_HPP
#ifndef ATCODER_SCC_HPP
#define ATCODER_SCC_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
private:
internal::scc_graph internal;
};
} // namespace atcoder
#endif // ATCODER_SCC_HPP
#ifndef ATCODER_SEGTREE_HPP
#define ATCODER_SEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#endif // ATCODER_SEGTREE_HPP
#ifndef ATCODER_STRING_HPP
#define ATCODER_STRING_HPP 1
#include <algorithm>
#include <cassert>
#include <numeric>
#include <string>
#include <vector>
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int> &s, int upper) {
int n = int(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int> &lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n)
continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1)
sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
} // namespace internal
std::vector<int> suffix_array(const std::vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T> &s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T> &s,
const std::vector<int> &sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h])
break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string &s, const std::vector<int> &sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T> &s) {
int n = int(s.size());
if (n == 0)
return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int &k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k])
k++;
if (j + z[j] < i + z[i])
j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
} // namespace atcoder
#endif // ATCODER_STRING_HPP
#ifndef ATCODER_TWOSAT_HPP
#define ATCODER_TWOSAT_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference:
// B. Aspvall, M. Plass, and R. Tarjan,
// A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean
// Formulas
struct two_sat {
public:
two_sat() : _n(0), scc(0) {}
two_sat(int n) : _n(n), _answer(n), scc(2 * n) {}
void add_clause(int i, bool f, int j, bool g) {
assert(0 <= i && i < _n);
assert(0 <= j && j < _n);
scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0));
scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0));
}
bool satisfiable() {
auto id = scc.scc_ids().second;
for (int i = 0; i < _n; i++) {
if (id[2 * i] == id[2 * i + 1])
return false;
_answer[i] = id[2 * i] < id[2 * i + 1];
}
return true;
}
std::vector<bool> answer() { return _answer; }
private:
int _n;
std::vector<bool> _answer;
internal::scc_graph scc;
};
} // namespace atcoder
#endif // ATCODER_TWOSAT_HPP
using namespace std;
using namespace atcoder;
typedef long long ll;
template <typename T1, typename T2> bool chmin(T1 &a, T2 b) {
if (a <= b)
return 0;
a = b;
return 1;
}
template <typename T1, typename T2> bool chmax(T1 &a, T2 b) {
if (a >= b)
return 0;
a = b;
return 1;
}
int dx[4] = {0, 1, -1, 0};
int dy[4] = {1, 0, 0, -1};
int op(int a, int b) { return max(a, b); }
int e() { return 0; }
int target;
bool f(int x) { return target > x; }
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout << fixed << setprecision(20);
int n, q;
cin >> n >> q;
segtree<int, op, e> seg(n);
for (int i = 0; i < n; i++) {
int a;
cin >> a;
seg.set(i, a);
}
while (q--) {
int t;
cin >> t;
if (t == 1) {
int x, v;
cin >> x >> v;
x--;
seg.set(x, v);
}
if (t == 2) {
int l, r;
cin >> l >> r;
l--;
cout << seg.prod(l, r) << "\n";
}
if (t == 3) {
int x, v;
cin >> x >> v;
x--;
target = v;
cout << seg.max_right<f>(x) + 1 << "\n";
}
}
} | #include <bits/stdc++.h>
#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_BITOP_HPP
#ifndef ATCODER_INTERNAL_MATH_HPP
#define ATCODER_INTERNAL_MATH_HPP 1
#include <utility>
namespace atcoder {
namespace internal {
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) <
// 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v)
v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1)
return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1)
r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1)
return false;
if (n == 2 || n == 7 || n == 61)
return true;
if (n % 2 == 0)
return false;
long long d = n - 1;
while (d % 2 == 0)
d /= 2;
for (long long a : {2, 7, 61}) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0)
return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0)
m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2)
return 1;
if (m == 167772161)
return 3;
if (m == 469762049)
return 3;
if (m == 754974721)
return 11;
if (m == 998244353)
return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0)
x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok)
return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_MATH_HPP
#ifndef ATCODER_INTERNAL_QUEUE_HPP
#define ATCODER_INTERNAL_QUEUE_HPP 1
#include <vector>
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_QUEUE_HPP
#ifndef ATCODER_INTERNAL_SCC_HPP
#define ATCODER_INTERNAL_SCC_HPP 1
#include <algorithm>
#include <utility>
#include <vector>
namespace atcoder {
namespace internal {
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(int n, const std::vector<std::pair<int, E>> &edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
auto g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v)
break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1)
dfs(dfs, i);
}
for (auto &x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second)
counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
private:
int _n;
struct edge {
int to;
};
std::vector<std::pair<int, edge>> edges;
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_SCC_HPP
#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value, make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned =
typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_TYPE_TRAITS_HPP
#ifndef ATCODER_MODINT_HPP
#define ATCODER_MODINT_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0)
x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v -= rhs._v;
if (_v >= umod())
_v += umod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0)
x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += mod() - rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator*=(const mint &rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_MODINT_HPP
#ifndef ATCODER_CONVOLUTION_HPP
#define ATCODER_CONVOLUTION_HPP 1
#include <algorithm>
#include <array>
#include <cassert>
#include <type_traits>
#include <vector>
namespace atcoder {
namespace internal {
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_e[30]; // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now;
now *= ies[i];
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now;
a[i + offset] = l + r;
a[i + offset + p] = l - r;
}
now *= sum_e[bsf(~(unsigned int)(s))];
}
}
}
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly_inv(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_ie[30]; // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now;
now *= es[i];
}
}
for (int ph = h; ph >= 1; ph--) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = l + r;
a[i + offset + p] =
(unsigned long long)(mint::mod() + l.val() - r.val()) * inow.val();
}
inow *= sum_ie[bsf(~(unsigned int)(s))];
}
}
}
} // namespace internal
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
std::vector<mint> convolution(std::vector<mint> a, std::vector<mint> b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
if (std::min(n, m) <= 60) {
if (n < m) {
std::swap(n, m);
std::swap(a, b);
}
std::vector<mint> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
}
}
return ans;
}
int z = 1 << internal::ceil_pow2(n + m - 1);
a.resize(z);
internal::butterfly(a);
b.resize(z);
internal::butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
}
internal::butterfly_inv(a);
a.resize(n + m - 1);
mint iz = mint(z).inv();
for (int i = 0; i < n + m - 1; i++)
a[i] *= iz;
return a;
}
template <unsigned int mod = 998244353, class T,
std::enable_if_t<internal::is_integral<T>::value> * = nullptr>
std::vector<T> convolution(const std::vector<T> &a, const std::vector<T> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
using mint = static_modint<mod>;
std::vector<mint> a2(n), b2(m);
for (int i = 0; i < n; i++) {
a2[i] = mint(a[i]);
}
for (int i = 0; i < m; i++) {
b2[i] = mint(b[i]);
}
auto c2 = convolution(move(a2), move(b2));
std::vector<T> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
c[i] = c2[i].val();
}
return c;
}
std::vector<long long> convolution_ll(const std::vector<long long> &a,
const std::vector<long long> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
static constexpr unsigned long long MOD1 = 754974721; // 2^24
static constexpr unsigned long long MOD2 = 167772161; // 2^25
static constexpr unsigned long long MOD3 = 469762049; // 2^26
static constexpr unsigned long long M2M3 = MOD2 * MOD3;
static constexpr unsigned long long M1M3 = MOD1 * MOD3;
static constexpr unsigned long long M1M2 = MOD1 * MOD2;
static constexpr unsigned long long M1M2M3 = MOD1 * MOD2 * MOD3;
static constexpr unsigned long long i1 =
internal::inv_gcd(MOD2 * MOD3, MOD1).second;
static constexpr unsigned long long i2 =
internal::inv_gcd(MOD1 * MOD3, MOD2).second;
static constexpr unsigned long long i3 =
internal::inv_gcd(MOD1 * MOD2, MOD3).second;
auto c1 = convolution<MOD1>(a, b);
auto c2 = convolution<MOD2>(a, b);
auto c3 = convolution<MOD3>(a, b);
std::vector<long long> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
unsigned long long x = 0;
x += (c1[i] * i1) % MOD1 * M2M3;
x += (c2[i] * i2) % MOD2 * M1M3;
x += (c3[i] * i3) % MOD3 * M1M2;
// B = 2^63, -B <= x, r(real value) < B
// (x, x - M, x - 2M, or x - 3M) = r (mod 2B)
// r = c1[i] (mod MOD1)
// focus on MOD1
// r = x, x - M', x - 2M', x - 3M' (M' = M % 2^64) (mod 2B)
// r = x,
// x - M' + (0 or 2B),
// x - 2M' + (0, 2B or 4B),
// x - 3M' + (0, 2B, 4B or 6B) (without mod!)
// (r - x) = 0, (0)
// - M' + (0 or 2B), (1)
// -2M' + (0 or 2B or 4B), (2)
// -3M' + (0 or 2B or 4B or 6B) (3) (mod MOD1)
// we checked that
// ((1) mod MOD1) mod 5 = 2
// ((2) mod MOD1) mod 5 = 3
// ((3) mod MOD1) mod 5 = 4
long long diff =
c1[i] - internal::safe_mod((long long)(x), (long long)(MOD1));
if (diff < 0)
diff += MOD1;
static constexpr unsigned long long offset[5] = {0, 0, M1M2M3, 2 * M1M2M3,
3 * M1M2M3};
x -= offset[diff % 5];
c[i] = x;
}
return c;
}
} // namespace atcoder
#endif // ATCODER_CONVOLUTION_HPP
#ifndef ATCODER_DSU_HPP
#define ATCODER_DSU_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
// Implement (union by size) + (path compression)
// Reference:
// Zvi Galil and Giuseppe F. Italiano,
// Data structures and algorithms for disjoint set union problems
struct dsu {
public:
dsu() : _n(0) {}
dsu(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y)
return x;
if (-parent_or_size[x] < -parent_or_size[y])
std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0)
return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
} // namespace atcoder
#endif // ATCODER_DSU_HPP
#ifndef ATCODER_FENWICKTREE_HPP
#define ATCODER_FENWICKTREE_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
} // namespace atcoder
#endif // ATCODER_FENWICKTREE_HPP
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push(r >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP
#ifndef ATCODER_MATH_HPP
#define ATCODER_MATH_HPP 1
#include <algorithm>
#include <cassert>
#include <tuple>
#include <vector>
namespace atcoder {
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1)
return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1)
r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long> &r,
const std::vector<long long> &m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g % (u1*g) = (r1 - r0) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g)
return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0)
r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
long long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
} // namespace atcoder
#endif // ATCODER_MATH_HPP
#ifndef ATCODER_MAXFLOW_HPP
#define ATCODER_MAXFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MAXFLOW_HPP
#ifndef ATCODER_MINCOSTFLOW_HPP
#define ATCODER_MINCOSTFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap, cost});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result(m);
for (int i = 0; i < m; i++) {
result[i] = get_edge(i);
}
return result;
}
std::pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, std::numeric_limits<Cap>::max());
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants (C = maxcost):
// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
std::vector<Cost> dual(_n, 0), dist(_n);
std::vector<int> pv(_n), pe(_n);
std::vector<bool> vis(_n);
auto dual_ref = [&]() {
std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
std::fill(pv.begin(), pv.end(), -1);
std::fill(pe.begin(), pe.end(), -1);
std::fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
std::priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v] = shortest(s, v) + dual[s] - dual[v]
// dist[v] >= 0 (all reduced cost are positive)
// dist[v] <= (n-1)C
for (int i = 0; i < int(g[v].size()); i++) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to] + dual[v]| <= (n-1)C
// cost <= C - -(n-1)C + 0 = nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t]) {
return false;
}
for (int v = 0; v < _n; v++) {
if (!vis[v])
continue;
// dual[v] = dual[v] - dist[t] + dist[v]
// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) +
// (shortest(s, v) + dual[s] - dual[v]) = - shortest(s, t) +
// dual[t] + shortest(s, v) = shortest(s, v) - shortest(s, t) >=
// 0 - (n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost = -1;
std::vector<std::pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = std::min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost = cost;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MINCOSTFLOW_HPP
#ifndef ATCODER_SCC_HPP
#define ATCODER_SCC_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
private:
internal::scc_graph internal;
};
} // namespace atcoder
#endif // ATCODER_SCC_HPP
#ifndef ATCODER_SEGTREE_HPP
#define ATCODER_SEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#endif // ATCODER_SEGTREE_HPP
#ifndef ATCODER_STRING_HPP
#define ATCODER_STRING_HPP 1
#include <algorithm>
#include <cassert>
#include <numeric>
#include <string>
#include <vector>
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int> &s, int upper) {
int n = int(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int> &lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n)
continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1)
sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
} // namespace internal
std::vector<int> suffix_array(const std::vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T> &s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T> &s,
const std::vector<int> &sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h])
break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string &s, const std::vector<int> &sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T> &s) {
int n = int(s.size());
if (n == 0)
return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int &k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k])
k++;
if (j + z[j] < i + z[i])
j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
} // namespace atcoder
#endif // ATCODER_STRING_HPP
#ifndef ATCODER_TWOSAT_HPP
#define ATCODER_TWOSAT_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference:
// B. Aspvall, M. Plass, and R. Tarjan,
// A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean
// Formulas
struct two_sat {
public:
two_sat() : _n(0), scc(0) {}
two_sat(int n) : _n(n), _answer(n), scc(2 * n) {}
void add_clause(int i, bool f, int j, bool g) {
assert(0 <= i && i < _n);
assert(0 <= j && j < _n);
scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0));
scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0));
}
bool satisfiable() {
auto id = scc.scc_ids().second;
for (int i = 0; i < _n; i++) {
if (id[2 * i] == id[2 * i + 1])
return false;
_answer[i] = id[2 * i] < id[2 * i + 1];
}
return true;
}
std::vector<bool> answer() { return _answer; }
private:
int _n;
std::vector<bool> _answer;
internal::scc_graph scc;
};
} // namespace atcoder
#endif // ATCODER_TWOSAT_HPP
using namespace std;
using namespace atcoder;
typedef long long ll;
template <typename T1, typename T2> bool chmin(T1 &a, T2 b) {
if (a <= b)
return 0;
a = b;
return 1;
}
template <typename T1, typename T2> bool chmax(T1 &a, T2 b) {
if (a >= b)
return 0;
a = b;
return 1;
}
int dx[4] = {0, 1, -1, 0};
int dy[4] = {1, 0, 0, -1};
int op(int a, int b) { return max(a, b); }
int e() { return -1; }
int target;
bool f(int x) { return target > x; }
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout << fixed << setprecision(20);
int n, q;
cin >> n >> q;
segtree<int, op, e> seg(n);
for (int i = 0; i < n; i++) {
int a;
cin >> a;
seg.set(i, a);
}
while (q--) {
int t;
cin >> t;
if (t == 1) {
int x, v;
cin >> x >> v;
x--;
seg.set(x, v);
}
if (t == 2) {
int l, r;
cin >> l >> r;
l--;
cout << seg.prod(l, r) << "\n";
}
if (t == 3) {
int x, v;
cin >> x >> v;
x--;
target = v;
cout << seg.max_right<f>(x) + 1 << "\n";
}
}
} | replace | 1,992 | 1,993 | 1,992 | 1,993 | 0 | |
p02567 | C++ | Runtime Error | #include "bits/stdc++.h"
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int INF = 1e9;
const ll LINF = 1e18;
inline ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
template <class S, class T>
ostream &operator<<(ostream &out, const pair<S, T> &o) {
out << "(" << o.first << "," << o.second << ")";
return out;
}
template <class T> ostream &operator<<(ostream &out, const vector<T> &V) {
for (int i = 0; i < V.size(); i++) {
out << V[i];
if (i != V.size() - 1)
out << " ";
}
return out;
}
template <class T>
ostream &operator<<(ostream &out, const vector<vector<T>> &Mat) {
for (int i = 0; i < Mat.size(); i++) {
if (i != 0)
out << endl;
out << Mat[i];
}
return out;
}
template <class S, class T>
ostream &operator<<(ostream &out, const map<S, T> &mp) {
out << "{ ";
for (auto it = mp.begin(); it != mp.end(); it++) {
out << it->first << ":" << it->second;
if (mp.size() - 1 != distance(mp.begin(), it))
out << ", ";
}
out << " }";
return out;
}
template <typename T> vector<T> make_v(size_t a) { return vector<T>(a); }
template <typename T, typename... Ts> auto make_v(size_t a, Ts... ts) {
return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}
template <typename T, typename V>
typename enable_if<is_class<T>::value == 0>::type fill_v(T &t, const V &v) {
t = v;
}
template <typename T, typename V>
typename enable_if<is_class<T>::value != 0>::type fill_v(T &t, const V &v) {
for (auto &e : t)
fill_v(e, v);
}
/*
<url:>
問題文============================================================
=================================================================
解説=============================================================
================================================================
*/
template <typename Monoid> struct SegmentTree {
public:
using Type = typename Monoid::Type;
int sz; // Array size
int _n;
vector<Type> node;
SegmentTree(int n) : _n(n) {
sz = 1;
while (sz < n)
sz <<= 1;
node.assign(2 * sz, Monoid::id());
}
void set(int k, const Type &val) { node[k + sz] = val; }
void build() {
for (int k = sz - 1; k > 0; k--) {
node[k] = Monoid::op(node[2 * k], node[2 * k + 1]);
}
}
inline void update(int k, const Type &val) {
k += sz;
node[k] = val;
while (k >>= 1) {
node[k] = Monoid::op(node[2 * k], node[2 * k + 1]);
}
}
inline Type query(int l, int r) {
if (l >= r)
return Monoid::id();
Type vl = Monoid::id(), vr = Monoid::id();
for (l += sz, r += sz; l != r; l >>= 1, r >>= 1) {
if (l & 1)
vl = Monoid::op(vl, node[l++]);
if (r & 1)
vr = Monoid::op(node[--r], vr);
}
return Monoid::op(vl, vr);
}
template <bool (*f)(Type)> int max_right(int l) {
return max_right(l, [](Type x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(Monoid::id()));
if (l == _n)
return _n;
l += sz;
Type sm = Monoid::id();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(Monoid::op(sm, node[l]))) {
while (l < sz) {
l = (2 * l);
if (f(Monoid::op(sm, node[l]))) {
sm = Monoid::op(sm, node[l]);
l++;
}
}
return l - sz;
}
sm = Monoid::op(sm, node[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(Type)> int min_left(int r) {
return min_left(r, [](Type x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(Monoid::id()));
if (r == 0)
return 0;
r += sz;
Type sm = Monoid::id();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(Monoid::op(node[r], sm))) {
while (r < sz) {
r = (2 * r + 1);
if (f(Monoid::op(node[r], sm))) {
sm = Monoid::op(node[r], sm);
r--;
}
}
return r + 1 - sz;
}
sm = Monoid::op(node[r], sm);
} while ((r & -r) != r);
return 0;
}
Type operator[](int i) { return node[i + sz]; }
};
struct Monoid {
using Type = ll; /* Monoidに乗せる型 */
static Type id() { return 0; /* モノイドの初期値 */ };
// ========= //
// マージ処理 //
// ========= //
static Type op(const Type &l, const Type &r) {
Type ret = max(l, r);
return ret;
}
};
template <class Type> Type solve(Type res = Type()) {
int N, Q;
cin >> N >> Q;
SegmentTree<Monoid> ST(N);
for (int i = 0; i < N; i++) {
int A;
cin >> A;
ST.set(i, A);
}
ST.build();
while (Q--) {
int T;
cin >> T;
if (T == 1) {
int X, V;
cin >> X >> V;
ST.update(X - 1, V);
} else if (T == 2) {
int L, R;
cin >> L >> R;
cout << ST.query(L - 1, R) << endl;
} else {
int X, V;
cin >> X >> V;
ll ret = ST.max_right(X - 1, [V](Monoid::Type x) { return x < V; });
cout << ret + 1 << endl;
}
}
return res;
}
int main(void) {
cin.tie(0);
ios::sync_with_stdio(false);
solve<ll>(0);
// cout << fixed << setprecision(12) << solve<ll>() << endl;
return 0;
} | #include "bits/stdc++.h"
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int INF = 1e9;
const ll LINF = 1e18;
inline ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
template <class S, class T>
ostream &operator<<(ostream &out, const pair<S, T> &o) {
out << "(" << o.first << "," << o.second << ")";
return out;
}
template <class T> ostream &operator<<(ostream &out, const vector<T> &V) {
for (int i = 0; i < V.size(); i++) {
out << V[i];
if (i != V.size() - 1)
out << " ";
}
return out;
}
template <class T>
ostream &operator<<(ostream &out, const vector<vector<T>> &Mat) {
for (int i = 0; i < Mat.size(); i++) {
if (i != 0)
out << endl;
out << Mat[i];
}
return out;
}
template <class S, class T>
ostream &operator<<(ostream &out, const map<S, T> &mp) {
out << "{ ";
for (auto it = mp.begin(); it != mp.end(); it++) {
out << it->first << ":" << it->second;
if (mp.size() - 1 != distance(mp.begin(), it))
out << ", ";
}
out << " }";
return out;
}
template <typename T> vector<T> make_v(size_t a) { return vector<T>(a); }
template <typename T, typename... Ts> auto make_v(size_t a, Ts... ts) {
return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}
template <typename T, typename V>
typename enable_if<is_class<T>::value == 0>::type fill_v(T &t, const V &v) {
t = v;
}
template <typename T, typename V>
typename enable_if<is_class<T>::value != 0>::type fill_v(T &t, const V &v) {
for (auto &e : t)
fill_v(e, v);
}
/*
<url:>
問題文============================================================
=================================================================
解説=============================================================
================================================================
*/
template <typename Monoid> struct SegmentTree {
public:
using Type = typename Monoid::Type;
int sz; // Array size
int _n;
vector<Type> node;
SegmentTree(int n) : _n(n) {
sz = 1;
while (sz < n)
sz <<= 1;
node.assign(2 * sz, Monoid::id());
}
void set(int k, const Type &val) { node[k + sz] = val; }
void build() {
for (int k = sz - 1; k > 0; k--) {
node[k] = Monoid::op(node[2 * k], node[2 * k + 1]);
}
}
inline void update(int k, const Type &val) {
k += sz;
node[k] = val;
while (k >>= 1) {
node[k] = Monoid::op(node[2 * k], node[2 * k + 1]);
}
}
inline Type query(int l, int r) {
if (l >= r)
return Monoid::id();
Type vl = Monoid::id(), vr = Monoid::id();
for (l += sz, r += sz; l != r; l >>= 1, r >>= 1) {
if (l & 1)
vl = Monoid::op(vl, node[l++]);
if (r & 1)
vr = Monoid::op(node[--r], vr);
}
return Monoid::op(vl, vr);
}
template <bool (*f)(Type)> int max_right(int l) {
return max_right(l, [](Type x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(Monoid::id()));
if (l == _n)
return _n;
l += sz;
Type sm = Monoid::id();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(Monoid::op(sm, node[l]))) {
while (l < sz) {
l = (2 * l);
if (f(Monoid::op(sm, node[l]))) {
sm = Monoid::op(sm, node[l]);
l++;
}
}
return l - sz;
}
sm = Monoid::op(sm, node[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(Type)> int min_left(int r) {
return min_left(r, [](Type x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(Monoid::id()));
if (r == 0)
return 0;
r += sz;
Type sm = Monoid::id();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(Monoid::op(node[r], sm))) {
while (r < sz) {
r = (2 * r + 1);
if (f(Monoid::op(node[r], sm))) {
sm = Monoid::op(node[r], sm);
r--;
}
}
return r + 1 - sz;
}
sm = Monoid::op(node[r], sm);
} while ((r & -r) != r);
return 0;
}
Type operator[](int i) { return node[i + sz]; }
};
struct Monoid {
using Type = ll; /* Monoidに乗せる型 */
static Type id() { return -1; /* モノイドの初期値 */ };
// ========= //
// マージ処理 //
// ========= //
static Type op(const Type &l, const Type &r) {
Type ret = max(l, r);
return ret;
}
};
template <class Type> Type solve(Type res = Type()) {
int N, Q;
cin >> N >> Q;
SegmentTree<Monoid> ST(N);
for (int i = 0; i < N; i++) {
int A;
cin >> A;
ST.set(i, A);
}
ST.build();
while (Q--) {
int T;
cin >> T;
if (T == 1) {
int X, V;
cin >> X >> V;
ST.update(X - 1, V);
} else if (T == 2) {
int L, R;
cin >> L >> R;
cout << ST.query(L - 1, R) << endl;
} else {
int X, V;
cin >> X >> V;
ll ret = ST.max_right(X - 1, [V](Monoid::Type x) { return x < V; });
cout << ret + 1 << endl;
}
}
return res;
}
int main(void) {
cin.tie(0);
ios::sync_with_stdio(false);
solve<ll>(0);
// cout << fixed << setprecision(12) << solve<ll>() << endl;
return 0;
} | replace | 164 | 165 | 164 | 165 | 0 | |
p02567 | C++ | Runtime Error | // #define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
template <class T> struct SegTree {
using FX = function<T(T, T)>;
int n, _n;
FX fx;
const T ex;
vector<T> dat;
SegTree(int n_, FX fx_, T ex_) : fx(fx_), ex(ex_), n(1), _n(n_) {
while (n < n_)
n <<= 1;
dat.assign((n << 1) - 1, ex);
}
SegTree(vector<T> &v, FX fx_, T ex_)
: fx(fx_), ex(ex_), n(1), _n(int(v.size())) {
int n_ = int(v.size());
while (n < n_)
n <<= 1;
dat.assign((n << 1) - 1, ex);
copy(v.begin(), v.end(), dat.begin() + n - 1);
for (int i = n - 2; i >= 0; i--)
dat[i] = fx(dat[chld(i)], dat[chrd(i)]);
}
inline int chld(int k) { return (k << 1) + 1; }
inline int chrd(int k) { return (k << 1) + 2; }
void update(int i, T x) {
i += n - 1;
dat[i] = x;
while (i) {
i = (i - 1) >> 1;
dat[i] = fx(dat[chld(i)], dat[chrd(i)]);
}
}
inline T query(int a, int b) { return query(a, b, 0, 0, n); }
T query(int a, int b, int k, int l, int r) {
if (r <= a || b <= l)
return ex;
if (a <= l && r <= b)
return dat[k];
T vl = query(a, b, chld(k), l, (l + r) >> 1);
T vr = query(a, b, chrd(k), (l + r) >> 1, r);
return fx(vl, vr);
}
template <class F> int max_right(int l, F f) {
assert(f(ex));
if (l == _n)
return _n;
l += n;
T now = ex;
do {
while (~l & 1)
l >>= 1;
if (!f(fx(now, dat[l - 1]))) {
while (l < n) {
l <<= 1;
if (f(fx(now, dat[l - 1]))) {
now = fx(now, dat[l++ - 1]);
}
}
return l - n;
}
now = fx(now, dat[l++ - 1]);
} while ((l & -l) != l);
return _n;
}
template <class F> int min_left(int r, F f) {
assert(f(ex));
if (r == 0)
return 0;
r += n;
T now = ex;
do {
r--;
while (r > 1 and r & 1)
r >>= 1;
if (!f(fx(dat[r - 1], now))) {
while (r < n) {
r = chld(r);
if (f(fx(dat[r - 1], now))) {
now = fx(dat[--r], now);
}
}
return r + 1 - n;
}
now = fx(dat[r - 1], now);
} while ((r & -r) != r);
return 0;
}
const T &operator[](int idx) const { return dat[idx + n - 1]; }
};
int main() {
int n, q;
scanf("%d%d", &n, &q);
vector<int> a(n);
for (int i = 0; i < n; i++)
scanf("%d", &a[i]);
SegTree<int> seg(
a, [](int i, int j) -> int { return max(i, j); }, 0);
while (q--) {
int type, x, y;
scanf("%d%d%d", &type, &x, &y);
if (type == 1) {
seg.update(x - 1, y);
}
if (type == 2) {
printf("%d\n", seg.query(x - 1, y));
}
if (type == 3) {
printf("%d\n",
seg.max_right(x - 1, [y](int X) -> bool { return X < y; }) + 1);
}
}
} | // #define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
template <class T> struct SegTree {
using FX = function<T(T, T)>;
int n, _n;
FX fx;
const T ex;
vector<T> dat;
SegTree(int n_, FX fx_, T ex_) : fx(fx_), ex(ex_), n(1), _n(n_) {
while (n < n_)
n <<= 1;
dat.assign((n << 1) - 1, ex);
}
SegTree(vector<T> &v, FX fx_, T ex_)
: fx(fx_), ex(ex_), n(1), _n(int(v.size())) {
int n_ = int(v.size());
while (n < n_)
n <<= 1;
dat.assign((n << 1) - 1, ex);
copy(v.begin(), v.end(), dat.begin() + n - 1);
for (int i = n - 2; i >= 0; i--)
dat[i] = fx(dat[chld(i)], dat[chrd(i)]);
}
inline int chld(int k) { return (k << 1) + 1; }
inline int chrd(int k) { return (k << 1) + 2; }
void update(int i, T x) {
i += n - 1;
dat[i] = x;
while (i) {
i = (i - 1) >> 1;
dat[i] = fx(dat[chld(i)], dat[chrd(i)]);
}
}
inline T query(int a, int b) { return query(a, b, 0, 0, n); }
T query(int a, int b, int k, int l, int r) {
if (r <= a || b <= l)
return ex;
if (a <= l && r <= b)
return dat[k];
T vl = query(a, b, chld(k), l, (l + r) >> 1);
T vr = query(a, b, chrd(k), (l + r) >> 1, r);
return fx(vl, vr);
}
template <class F> int max_right(int l, F f) {
assert(f(ex));
if (l == _n)
return _n;
l += n;
T now = ex;
do {
while (~l & 1)
l >>= 1;
if (!f(fx(now, dat[l - 1]))) {
while (l < n) {
l <<= 1;
if (f(fx(now, dat[l - 1]))) {
now = fx(now, dat[l++ - 1]);
}
}
return l - n;
}
now = fx(now, dat[l++ - 1]);
} while ((l & -l) != l);
return _n;
}
template <class F> int min_left(int r, F f) {
assert(f(ex));
if (r == 0)
return 0;
r += n;
T now = ex;
do {
r--;
while (r > 1 and r & 1)
r >>= 1;
if (!f(fx(dat[r - 1], now))) {
while (r < n) {
r = chld(r);
if (f(fx(dat[r - 1], now))) {
now = fx(dat[--r], now);
}
}
return r + 1 - n;
}
now = fx(dat[r - 1], now);
} while ((r & -r) != r);
return 0;
}
const T &operator[](int idx) const { return dat[idx + n - 1]; }
};
int main() {
int n, q;
scanf("%d%d", &n, &q);
vector<int> a(n);
for (int i = 0; i < n; i++)
scanf("%d", &a[i]);
SegTree<int> seg(
a, [](int i, int j) -> int { return max(i, j); }, INT_MIN);
while (q--) {
int type, x, y;
scanf("%d%d%d", &type, &x, &y);
if (type == 1) {
seg.update(x - 1, y);
}
if (type == 2) {
printf("%d\n", seg.query(x - 1, y));
}
if (type == 3) {
printf("%d\n",
seg.max_right(x - 1, [y](int X) -> bool { return X < y; }) + 1);
}
}
} | replace | 100 | 101 | 100 | 101 | 0 | |
p02567 | C++ | Runtime Error | #ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_BITOP_HPP
#ifndef ATCODER_INTERNAL_MATH_HPP
#define ATCODER_INTERNAL_MATH_HPP 1
#include <utility>
namespace atcoder {
namespace internal {
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) <
// 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v)
v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1)
return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1)
r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1)
return false;
if (n == 2 || n == 7 || n == 61)
return true;
if (n % 2 == 0)
return false;
long long d = n - 1;
while (d % 2 == 0)
d /= 2;
for (long long a : {2, 7, 61}) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0)
return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0)
m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2)
return 1;
if (m == 167772161)
return 3;
if (m == 469762049)
return 3;
if (m == 754974721)
return 11;
if (m == 998244353)
return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0)
x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok)
return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_MATH_HPP
#ifndef ATCODER_INTERNAL_QUEUE_HPP
#define ATCODER_INTERNAL_QUEUE_HPP 1
#include <vector>
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_QUEUE_HPP
#ifndef ATCODER_INTERNAL_SCC_HPP
#define ATCODER_INTERNAL_SCC_HPP 1
#include <algorithm>
#include <utility>
#include <vector>
namespace atcoder {
namespace internal {
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(int n, const std::vector<std::pair<int, E>> &edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
auto g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v)
break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1)
dfs(dfs, i);
}
for (auto &x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second)
counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
private:
int _n;
struct edge {
int to;
};
std::vector<std::pair<int, edge>> edges;
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_SCC_HPP
#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value, make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned =
typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_TYPE_TRAITS_HPP
#ifndef ATCODER_MODINT_HPP
#define ATCODER_MODINT_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0)
x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v -= rhs._v;
if (_v >= umod())
_v += umod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0)
x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += mod() - rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator*=(const mint &rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_MODINT_HPP
#ifndef ATCODER_CONVOLUTION_HPP
#define ATCODER_CONVOLUTION_HPP 1
#include <algorithm>
#include <array>
#include <cassert>
#include <type_traits>
#include <vector>
namespace atcoder {
namespace internal {
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_e[30]; // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now;
now *= ies[i];
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now;
a[i + offset] = l + r;
a[i + offset + p] = l - r;
}
now *= sum_e[bsf(~(unsigned int)(s))];
}
}
}
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly_inv(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_ie[30]; // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now;
now *= es[i];
}
}
for (int ph = h; ph >= 1; ph--) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = l + r;
a[i + offset + p] =
(unsigned long long)(mint::mod() + l.val() - r.val()) * inow.val();
}
inow *= sum_ie[bsf(~(unsigned int)(s))];
}
}
}
} // namespace internal
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
std::vector<mint> convolution(std::vector<mint> a, std::vector<mint> b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
if (std::min(n, m) <= 60) {
if (n < m) {
std::swap(n, m);
std::swap(a, b);
}
std::vector<mint> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
}
}
return ans;
}
int z = 1 << internal::ceil_pow2(n + m - 1);
a.resize(z);
internal::butterfly(a);
b.resize(z);
internal::butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
}
internal::butterfly_inv(a);
a.resize(n + m - 1);
mint iz = mint(z).inv();
for (int i = 0; i < n + m - 1; i++)
a[i] *= iz;
return a;
}
template <unsigned int mod = 998244353, class T,
std::enable_if_t<internal::is_integral<T>::value> * = nullptr>
std::vector<T> convolution(const std::vector<T> &a, const std::vector<T> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
using mint = static_modint<mod>;
std::vector<mint> a2(n), b2(m);
for (int i = 0; i < n; i++) {
a2[i] = mint(a[i]);
}
for (int i = 0; i < m; i++) {
b2[i] = mint(b[i]);
}
auto c2 = convolution(move(a2), move(b2));
std::vector<T> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
c[i] = c2[i].val();
}
return c;
}
std::vector<long long> convolution_ll(const std::vector<long long> &a,
const std::vector<long long> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
static constexpr unsigned long long MOD1 = 754974721; // 2^24
static constexpr unsigned long long MOD2 = 167772161; // 2^25
static constexpr unsigned long long MOD3 = 469762049; // 2^26
static constexpr unsigned long long M2M3 = MOD2 * MOD3;
static constexpr unsigned long long M1M3 = MOD1 * MOD3;
static constexpr unsigned long long M1M2 = MOD1 * MOD2;
static constexpr unsigned long long M1M2M3 = MOD1 * MOD2 * MOD3;
static constexpr unsigned long long i1 =
internal::inv_gcd(MOD2 * MOD3, MOD1).second;
static constexpr unsigned long long i2 =
internal::inv_gcd(MOD1 * MOD3, MOD2).second;
static constexpr unsigned long long i3 =
internal::inv_gcd(MOD1 * MOD2, MOD3).second;
auto c1 = convolution<MOD1>(a, b);
auto c2 = convolution<MOD2>(a, b);
auto c3 = convolution<MOD3>(a, b);
std::vector<long long> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
unsigned long long x = 0;
x += (c1[i] * i1) % MOD1 * M2M3;
x += (c2[i] * i2) % MOD2 * M1M3;
x += (c3[i] * i3) % MOD3 * M1M2;
// B = 2^63, -B <= x, r(real value) < B
// (x, x - M, x - 2M, or x - 3M) = r (mod 2B)
// r = c1[i] (mod MOD1)
// focus on MOD1
// r = x, x - M', x - 2M', x - 3M' (M' = M % 2^64) (mod 2B)
// r = x,
// x - M' + (0 or 2B),
// x - 2M' + (0, 2B or 4B),
// x - 3M' + (0, 2B, 4B or 6B) (without mod!)
// (r - x) = 0, (0)
// - M' + (0 or 2B), (1)
// -2M' + (0 or 2B or 4B), (2)
// -3M' + (0 or 2B or 4B or 6B) (3) (mod MOD1)
// we checked that
// ((1) mod MOD1) mod 5 = 2
// ((2) mod MOD1) mod 5 = 3
// ((3) mod MOD1) mod 5 = 4
long long diff =
c1[i] - internal::safe_mod((long long)(x), (long long)(MOD1));
if (diff < 0)
diff += MOD1;
static constexpr unsigned long long offset[5] = {0, 0, M1M2M3, 2 * M1M2M3,
3 * M1M2M3};
x -= offset[diff % 5];
c[i] = x;
}
return c;
}
} // namespace atcoder
#endif // ATCODER_CONVOLUTION_HPP
#ifndef ATCODER_DSU_HPP
#define ATCODER_DSU_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
// Implement (union by size) + (path compression)
// Reference:
// Zvi Galil and Giuseppe F. Italiano,
// Data structures and algorithms for disjoint set union problems
struct dsu {
public:
dsu() : _n(0) {}
dsu(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y)
return x;
if (-parent_or_size[x] < -parent_or_size[y])
std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0)
return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
} // namespace atcoder
#endif // ATCODER_DSU_HPP
#ifndef ATCODER_FENWICKTREE_HPP
#define ATCODER_FENWICKTREE_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
} // namespace atcoder
#endif // ATCODER_FENWICKTREE_HPP
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push(r >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP
#ifndef ATCODER_MATH_HPP
#define ATCODER_MATH_HPP 1
#include <algorithm>
#include <cassert>
#include <tuple>
#include <vector>
namespace atcoder {
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1)
return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1)
r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long> &r,
const std::vector<long long> &m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g % (u1*g) = (r1 - r0) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g)
return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0)
r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
long long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
} // namespace atcoder
#endif // ATCODER_MATH_HPP
#ifndef ATCODER_MAXFLOW_HPP
#define ATCODER_MAXFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MAXFLOW_HPP
#ifndef ATCODER_MINCOSTFLOW_HPP
#define ATCODER_MINCOSTFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap, cost});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result(m);
for (int i = 0; i < m; i++) {
result[i] = get_edge(i);
}
return result;
}
std::pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, std::numeric_limits<Cap>::max());
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants (C = maxcost):
// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
std::vector<Cost> dual(_n, 0), dist(_n);
std::vector<int> pv(_n), pe(_n);
std::vector<bool> vis(_n);
auto dual_ref = [&]() {
std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
std::fill(pv.begin(), pv.end(), -1);
std::fill(pe.begin(), pe.end(), -1);
std::fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
std::priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v] = shortest(s, v) + dual[s] - dual[v]
// dist[v] >= 0 (all reduced cost are positive)
// dist[v] <= (n-1)C
for (int i = 0; i < int(g[v].size()); i++) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to] + dual[v]| <= (n-1)C
// cost <= C - -(n-1)C + 0 = nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t]) {
return false;
}
for (int v = 0; v < _n; v++) {
if (!vis[v])
continue;
// dual[v] = dual[v] - dist[t] + dist[v]
// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) +
// (shortest(s, v) + dual[s] - dual[v]) = - shortest(s, t) +
// dual[t] + shortest(s, v) = shortest(s, v) - shortest(s, t) >=
// 0 - (n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost = -1;
std::vector<std::pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = std::min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost = cost;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MINCOSTFLOW_HPP
#ifndef ATCODER_SCC_HPP
#define ATCODER_SCC_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
private:
internal::scc_graph internal;
};
} // namespace atcoder
#endif // ATCODER_SCC_HPP
#ifndef ATCODER_SEGTREE_HPP
#define ATCODER_SEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#endif // ATCODER_SEGTREE_HPP
#ifndef ATCODER_STRING_HPP
#define ATCODER_STRING_HPP 1
#include <algorithm>
#include <cassert>
#include <numeric>
#include <string>
#include <vector>
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int> &s, int upper) {
int n = int(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int> &lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n)
continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1)
sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
} // namespace internal
std::vector<int> suffix_array(const std::vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T> &s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T> &s,
const std::vector<int> &sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h])
break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string &s, const std::vector<int> &sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T> &s) {
int n = int(s.size());
if (n == 0)
return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int &k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k])
k++;
if (j + z[j] < i + z[i])
j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
} // namespace atcoder
#endif // ATCODER_STRING_HPP
#ifndef ATCODER_TWOSAT_HPP
#define ATCODER_TWOSAT_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference:
// B. Aspvall, M. Plass, and R. Tarjan,
// A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean
// Formulas
struct two_sat {
public:
two_sat() : _n(0), scc(0) {}
two_sat(int n) : _n(n), _answer(n), scc(2 * n) {}
void add_clause(int i, bool f, int j, bool g) {
assert(0 <= i && i < _n);
assert(0 <= j && j < _n);
scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0));
scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0));
}
bool satisfiable() {
auto id = scc.scc_ids().second;
for (int i = 0; i < _n; i++) {
if (id[2 * i] == id[2 * i + 1])
return false;
_answer[i] = id[2 * i] < id[2 * i + 1];
}
return true;
}
std::vector<bool> answer() { return _answer; }
private:
int _n;
std::vector<bool> _answer;
internal::scc_graph scc;
};
} // namespace atcoder
#endif // ATCODER_TWOSAT_HPP
#include <bits/stdc++.h>
#include <bitset>
#include <iostream>
#include <limits>
#include <numeric>
#include <type_traits>
using namespace atcoder;
using namespace std;
#define rep(i, n, m) for (ll(i) = (n); (i) < (m); (i)++)
#define rrep(i, n, m) for (ll(i) = (n); (i) > (m); (i)--)
using ll = long long;
const ll mod = 998244353;
const ll inf = 1000000000;
int op(int a, int b) { return max(a, b); }
int e() { return 0; }
int tg = 0;
bool f(int a) { return a < tg; }
int main() {
int N, Q;
cin >> N >> Q;
segtree<int, op, e> st(N);
rep(i, 0, N) {
int a;
cin >> a;
st.set(i, a);
}
rep(loop, 0, Q) {
int T, X, V;
cin >> T >> X >> V;
if (T == 1) {
st.set(X - 1, V);
} else if (T == 2) {
cout << st.prod(X - 1, V) << '\n';
} else {
tg = V;
int ind = st.max_right<f>(X - 1);
cout << ind + 1 << '\n';
}
}
}
| #ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n))
x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_BITOP_HPP
#ifndef ATCODER_INTERNAL_MATH_HPP
#define ATCODER_INTERNAL_MATH_HPP 1
#include <utility>
namespace atcoder {
namespace internal {
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0)
x += m;
return x;
}
// Fast moduler by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m`
barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
// @return m
unsigned int umod() const { return _m; }
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) <
// 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v)
v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1)
return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1)
r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
if (n <= 1)
return false;
if (n == 2 || n == 7 || n == 61)
return true;
if (n % 2 == 0)
return false;
long long d = n - 1;
while (d % 2 == 0)
d /= 2;
for (long long a : {2, 7, 61}) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0)
return {b, 0};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0)
m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2)
return 1;
if (m == 167772161)
return 3;
if (m == 469762049)
return 3;
if (m == 754974721)
return 11;
if (m == 998244353)
return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0)
x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok)
return g;
}
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_MATH_HPP
#ifndef ATCODER_INTERNAL_QUEUE_HPP
#define ATCODER_INTERNAL_QUEUE_HPP 1
#include <vector>
namespace atcoder {
namespace internal {
template <class T> struct simple_queue {
std::vector<T> payload;
int pos = 0;
void reserve(int n) { payload.reserve(n); }
int size() const { return int(payload.size()) - pos; }
bool empty() const { return pos == int(payload.size()); }
void push(const T &t) { payload.push_back(t); }
T &front() { return payload[pos]; }
void clear() {
payload.clear();
pos = 0;
}
void pop() { pos++; }
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_QUEUE_HPP
#ifndef ATCODER_INTERNAL_SCC_HPP
#define ATCODER_INTERNAL_SCC_HPP 1
#include <algorithm>
#include <utility>
#include <vector>
namespace atcoder {
namespace internal {
template <class E> struct csr {
std::vector<int> start;
std::vector<E> elist;
csr(int n, const std::vector<std::pair<int, E>> &edges)
: start(n + 1), elist(edges.size()) {
for (auto e : edges) {
start[e.first + 1]++;
}
for (int i = 1; i <= n; i++) {
start[i] += start[i - 1];
}
auto counter = start;
for (auto e : edges) {
elist[counter[e.first]++] = e.second;
}
}
};
// Reference:
// R. Tarjan,
// Depth-First Search and Linear Graph Algorithms
struct scc_graph {
public:
scc_graph(int n) : _n(n) {}
int num_vertices() { return _n; }
void add_edge(int from, int to) { edges.push_back({from, {to}}); }
// @return pair of (# of scc, scc id)
std::pair<int, std::vector<int>> scc_ids() {
auto g = csr<edge>(_n, edges);
int now_ord = 0, group_num = 0;
std::vector<int> visited, low(_n), ord(_n, -1), ids(_n);
visited.reserve(_n);
auto dfs = [&](auto self, int v) -> void {
low[v] = ord[v] = now_ord++;
visited.push_back(v);
for (int i = g.start[v]; i < g.start[v + 1]; i++) {
auto to = g.elist[i].to;
if (ord[to] == -1) {
self(self, to);
low[v] = std::min(low[v], low[to]);
} else {
low[v] = std::min(low[v], ord[to]);
}
}
if (low[v] == ord[v]) {
while (true) {
int u = visited.back();
visited.pop_back();
ord[u] = _n;
ids[u] = group_num;
if (u == v)
break;
}
group_num++;
}
};
for (int i = 0; i < _n; i++) {
if (ord[i] == -1)
dfs(dfs, i);
}
for (auto &x : ids) {
x = group_num - 1 - x;
}
return {group_num, ids};
}
std::vector<std::vector<int>> scc() {
auto ids = scc_ids();
int group_num = ids.first;
std::vector<int> counts(group_num);
for (auto x : ids.second)
counts[x]++;
std::vector<std::vector<int>> groups(ids.first);
for (int i = 0; i < group_num; i++) {
groups[i].reserve(counts[i]);
}
for (int i = 0; i < _n; i++) {
groups[ids.second[i]].push_back(i);
}
return groups;
}
private:
int _n;
struct edge {
int to;
};
std::vector<std::pair<int, edge>> edges;
};
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_SCC_HPP
#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value ||
std::is_same<T, __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value ||
std::is_same<T, unsigned __int128>::value,
std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t,
unsigned __int128>;
template <class T>
using is_integral =
typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_signed_int =
typename std::conditional<(is_integral<T>::value &&
std::is_signed<T>::value) ||
is_signed_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<(is_integral<T>::value &&
std::is_unsigned<T>::value) ||
is_unsigned_int128<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
is_signed_int128<T>::value, make_unsigned_int128<T>,
typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type>::type;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
typename std::conditional<is_integral<T>::value &&
std::is_unsigned<T>::value,
std::true_type, std::false_type>::type;
template <class T>
using to_unsigned =
typename std::conditional<is_signed_int<T>::value, std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_TYPE_TRAITS_HPP
#ifndef ATCODER_MODINT_HPP
#define ATCODER_MODINT_HPP 1
#include <cassert>
#include <numeric>
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr>
struct static_modint : internal::static_modint_base {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
static_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
static_modint(T v) {
long long x = (long long)(v % (long long)(umod()));
if (x < 0)
x += umod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
static_modint(T v) {
_v = (unsigned int)(v % umod());
}
static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v -= rhs._v;
if (_v >= umod())
_v += umod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = internal::inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = internal::is_prime<m>;
};
template <int id> struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template <class T, internal::is_signed_int_t<T> * = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0)
x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T> * = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
dynamic_modint(bool v) { _v = ((unsigned int)(v) % mod()); }
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == umod())
_v = 0;
return *this;
}
mint &operator--() {
if (_v == 0)
_v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint &operator+=(const mint &rhs) {
_v += rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += mod() - rhs._v;
if (_v >= umod())
_v -= umod();
return *this;
}
mint &operator*=(const mint &rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1)
r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = internal::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint &lhs, const mint &rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint &lhs, const mint &rhs) {
return lhs._v != rhs._v;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt = 998244353;
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
#endif // ATCODER_MODINT_HPP
#ifndef ATCODER_CONVOLUTION_HPP
#define ATCODER_CONVOLUTION_HPP 1
#include <algorithm>
#include <array>
#include <cassert>
#include <type_traits>
#include <vector>
namespace atcoder {
namespace internal {
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_e[30]; // sum_e[i] = ies[0] * ... * ies[i - 1] * es[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_e[i] = es[i] * now;
now *= ies[i];
}
}
for (int ph = 1; ph <= h; ph++) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint now = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p] * now;
a[i + offset] = l + r;
a[i + offset + p] = l - r;
}
now *= sum_e[bsf(~(unsigned int)(s))];
}
}
}
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
void butterfly_inv(std::vector<mint> &a) {
static constexpr int g = internal::primitive_root<mint::mod()>;
int n = int(a.size());
int h = internal::ceil_pow2(n);
static bool first = true;
static mint sum_ie[30]; // sum_ie[i] = es[0] * ... * es[i - 1] * ies[i]
if (first) {
first = false;
mint es[30], ies[30]; // es[i]^(2^(2+i)) == 1
int cnt2 = bsf(mint::mod() - 1);
mint e = mint(g).pow((mint::mod() - 1) >> cnt2), ie = e.inv();
for (int i = cnt2; i >= 2; i--) {
// e^(2^i) == 1
es[i - 2] = e;
ies[i - 2] = ie;
e *= e;
ie *= ie;
}
mint now = 1;
for (int i = 0; i < cnt2 - 2; i++) {
sum_ie[i] = ies[i] * now;
now *= es[i];
}
}
for (int ph = h; ph >= 1; ph--) {
int w = 1 << (ph - 1), p = 1 << (h - ph);
mint inow = 1;
for (int s = 0; s < w; s++) {
int offset = s << (h - ph + 1);
for (int i = 0; i < p; i++) {
auto l = a[i + offset];
auto r = a[i + offset + p];
a[i + offset] = l + r;
a[i + offset + p] =
(unsigned long long)(mint::mod() + l.val() - r.val()) * inow.val();
}
inow *= sum_ie[bsf(~(unsigned int)(s))];
}
}
}
} // namespace internal
template <class mint, internal::is_static_modint_t<mint> * = nullptr>
std::vector<mint> convolution(std::vector<mint> a, std::vector<mint> b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
if (std::min(n, m) <= 60) {
if (n < m) {
std::swap(n, m);
std::swap(a, b);
}
std::vector<mint> ans(n + m - 1);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
ans[i + j] += a[i] * b[j];
}
}
return ans;
}
int z = 1 << internal::ceil_pow2(n + m - 1);
a.resize(z);
internal::butterfly(a);
b.resize(z);
internal::butterfly(b);
for (int i = 0; i < z; i++) {
a[i] *= b[i];
}
internal::butterfly_inv(a);
a.resize(n + m - 1);
mint iz = mint(z).inv();
for (int i = 0; i < n + m - 1; i++)
a[i] *= iz;
return a;
}
template <unsigned int mod = 998244353, class T,
std::enable_if_t<internal::is_integral<T>::value> * = nullptr>
std::vector<T> convolution(const std::vector<T> &a, const std::vector<T> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
using mint = static_modint<mod>;
std::vector<mint> a2(n), b2(m);
for (int i = 0; i < n; i++) {
a2[i] = mint(a[i]);
}
for (int i = 0; i < m; i++) {
b2[i] = mint(b[i]);
}
auto c2 = convolution(move(a2), move(b2));
std::vector<T> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
c[i] = c2[i].val();
}
return c;
}
std::vector<long long> convolution_ll(const std::vector<long long> &a,
const std::vector<long long> &b) {
int n = int(a.size()), m = int(b.size());
if (!n || !m)
return {};
static constexpr unsigned long long MOD1 = 754974721; // 2^24
static constexpr unsigned long long MOD2 = 167772161; // 2^25
static constexpr unsigned long long MOD3 = 469762049; // 2^26
static constexpr unsigned long long M2M3 = MOD2 * MOD3;
static constexpr unsigned long long M1M3 = MOD1 * MOD3;
static constexpr unsigned long long M1M2 = MOD1 * MOD2;
static constexpr unsigned long long M1M2M3 = MOD1 * MOD2 * MOD3;
static constexpr unsigned long long i1 =
internal::inv_gcd(MOD2 * MOD3, MOD1).second;
static constexpr unsigned long long i2 =
internal::inv_gcd(MOD1 * MOD3, MOD2).second;
static constexpr unsigned long long i3 =
internal::inv_gcd(MOD1 * MOD2, MOD3).second;
auto c1 = convolution<MOD1>(a, b);
auto c2 = convolution<MOD2>(a, b);
auto c3 = convolution<MOD3>(a, b);
std::vector<long long> c(n + m - 1);
for (int i = 0; i < n + m - 1; i++) {
unsigned long long x = 0;
x += (c1[i] * i1) % MOD1 * M2M3;
x += (c2[i] * i2) % MOD2 * M1M3;
x += (c3[i] * i3) % MOD3 * M1M2;
// B = 2^63, -B <= x, r(real value) < B
// (x, x - M, x - 2M, or x - 3M) = r (mod 2B)
// r = c1[i] (mod MOD1)
// focus on MOD1
// r = x, x - M', x - 2M', x - 3M' (M' = M % 2^64) (mod 2B)
// r = x,
// x - M' + (0 or 2B),
// x - 2M' + (0, 2B or 4B),
// x - 3M' + (0, 2B, 4B or 6B) (without mod!)
// (r - x) = 0, (0)
// - M' + (0 or 2B), (1)
// -2M' + (0 or 2B or 4B), (2)
// -3M' + (0 or 2B or 4B or 6B) (3) (mod MOD1)
// we checked that
// ((1) mod MOD1) mod 5 = 2
// ((2) mod MOD1) mod 5 = 3
// ((3) mod MOD1) mod 5 = 4
long long diff =
c1[i] - internal::safe_mod((long long)(x), (long long)(MOD1));
if (diff < 0)
diff += MOD1;
static constexpr unsigned long long offset[5] = {0, 0, M1M2M3, 2 * M1M2M3,
3 * M1M2M3};
x -= offset[diff % 5];
c[i] = x;
}
return c;
}
} // namespace atcoder
#endif // ATCODER_CONVOLUTION_HPP
#ifndef ATCODER_DSU_HPP
#define ATCODER_DSU_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
// Implement (union by size) + (path compression)
// Reference:
// Zvi Galil and Giuseppe F. Italiano,
// Data structures and algorithms for disjoint set union problems
struct dsu {
public:
dsu() : _n(0) {}
dsu(int n) : _n(n), parent_or_size(n, -1) {}
int merge(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y)
return x;
if (-parent_or_size[x] < -parent_or_size[y])
std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool same(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0)
return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
} // namespace atcoder
#endif // ATCODER_DSU_HPP
#ifndef ATCODER_FENWICKTREE_HPP
#define ATCODER_FENWICKTREE_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
using U = internal::to_unsigned_t<T>;
public:
fenwick_tree() : _n(0) {}
fenwick_tree(int n) : _n(n), data(n) {}
void add(int p, T x) {
assert(0 <= p && p < _n);
p++;
while (p <= _n) {
data[p - 1] += U(x);
p += p & -p;
}
}
T sum(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
return sum(r) - sum(l);
}
private:
int _n;
std::vector<U> data;
U sum(int r) {
U s = 0;
while (r > 0) {
s += data[r - 1];
r -= r & -r;
}
return s;
}
};
} // namespace atcoder
#endif // ATCODER_FENWICKTREE_HPP
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S),
F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push(r >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP
#ifndef ATCODER_MATH_HPP
#define ATCODER_MATH_HPP 1
#include <algorithm>
#include <cassert>
#include <tuple>
#include <vector>
namespace atcoder {
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1)
return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1)
r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long> &r,
const std::vector<long long> &m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1)
return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g % (u1*g) = (r1 - r0) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g)
return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0)
r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
long long ans = 0;
if (a >= m) {
ans += (n - 1) * n * (a / m) / 2;
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
long long y_max = (a * n + b) / m, x_max = (y_max * m - b);
if (y_max == 0)
return ans;
ans += (n - (x_max + a - 1) / a) * y_max;
ans += floor_sum(y_max, a, m, (a - x_max % a) % a);
return ans;
}
} // namespace atcoder
#endif // ATCODER_MATH_HPP
#ifndef ATCODER_MAXFLOW_HPP
#define ATCODER_MAXFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap> struct mf_graph {
public:
mf_graph() : _n(0) {}
mf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
assert(0 <= cap);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result;
for (int i = 0; i < m; i++) {
result.push_back(get_edge(i));
}
return result;
}
void change_edge(int i, Cap new_cap, Cap new_flow) {
int m = int(pos.size());
assert(0 <= i && i < m);
assert(0 <= new_flow && new_flow <= new_cap);
auto &_e = g[pos[i].first][pos[i].second];
auto &_re = g[_e.to][_e.rev];
_e.cap = new_cap - new_flow;
_re.cap = new_flow;
}
Cap flow(int s, int t) { return flow(s, t, std::numeric_limits<Cap>::max()); }
Cap flow(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
std::vector<int> level(_n), iter(_n);
internal::simple_queue<int> que;
auto bfs = [&]() {
std::fill(level.begin(), level.end(), -1);
level[s] = 0;
que.clear();
que.push(s);
while (!que.empty()) {
int v = que.front();
que.pop();
for (auto e : g[v]) {
if (e.cap == 0 || level[e.to] >= 0)
continue;
level[e.to] = level[v] + 1;
if (e.to == t)
return;
que.push(e.to);
}
}
};
auto dfs = [&](auto self, int v, Cap up) {
if (v == s)
return up;
Cap res = 0;
int level_v = level[v];
for (int &i = iter[v]; i < int(g[v].size()); i++) {
_edge &e = g[v][i];
if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0)
continue;
Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap));
if (d <= 0)
continue;
g[v][i].cap += d;
g[e.to][e.rev].cap -= d;
res += d;
if (res == up)
break;
}
return res;
};
Cap flow = 0;
while (flow < flow_limit) {
bfs();
if (level[t] == -1)
break;
std::fill(iter.begin(), iter.end(), 0);
while (flow < flow_limit) {
Cap f = dfs(dfs, t, flow_limit - flow);
if (!f)
break;
flow += f;
}
}
return flow;
}
std::vector<bool> min_cut(int s) {
std::vector<bool> visited(_n);
internal::simple_queue<int> que;
que.push(s);
while (!que.empty()) {
int p = que.front();
que.pop();
visited[p] = true;
for (auto e : g[p]) {
if (e.cap && !visited[e.to]) {
visited[e.to] = true;
que.push(e.to);
}
}
}
return visited;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MAXFLOW_HPP
#ifndef ATCODER_MINCOSTFLOW_HPP
#define ATCODER_MINCOSTFLOW_HPP 1
#include <algorithm>
#include <cassert>
#include <limits>
#include <queue>
#include <vector>
namespace atcoder {
template <class Cap, class Cost> struct mcf_graph {
public:
mcf_graph() {}
mcf_graph(int n) : _n(n), g(n) {}
int add_edge(int from, int to, Cap cap, Cost cost) {
assert(0 <= from && from < _n);
assert(0 <= to && to < _n);
int m = int(pos.size());
pos.push_back({from, int(g[from].size())});
g[from].push_back(_edge{to, int(g[to].size()), cap, cost});
g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});
return m;
}
struct edge {
int from, to;
Cap cap, flow;
Cost cost;
};
edge get_edge(int i) {
int m = int(pos.size());
assert(0 <= i && i < m);
auto _e = g[pos[i].first][pos[i].second];
auto _re = g[_e.to][_e.rev];
return edge{
pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,
};
}
std::vector<edge> edges() {
int m = int(pos.size());
std::vector<edge> result(m);
for (int i = 0; i < m; i++) {
result[i] = get_edge(i);
}
return result;
}
std::pair<Cap, Cost> flow(int s, int t) {
return flow(s, t, std::numeric_limits<Cap>::max());
}
std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {
return slope(s, t, flow_limit).back();
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t) {
return slope(s, t, std::numeric_limits<Cap>::max());
}
std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {
assert(0 <= s && s < _n);
assert(0 <= t && t < _n);
assert(s != t);
// variants (C = maxcost):
// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0
// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edge
std::vector<Cost> dual(_n, 0), dist(_n);
std::vector<int> pv(_n), pe(_n);
std::vector<bool> vis(_n);
auto dual_ref = [&]() {
std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max());
std::fill(pv.begin(), pv.end(), -1);
std::fill(pe.begin(), pe.end(), -1);
std::fill(vis.begin(), vis.end(), false);
struct Q {
Cost key;
int to;
bool operator<(Q r) const { return key > r.key; }
};
std::priority_queue<Q> que;
dist[s] = 0;
que.push(Q{0, s});
while (!que.empty()) {
int v = que.top().to;
que.pop();
if (vis[v])
continue;
vis[v] = true;
if (v == t)
break;
// dist[v] = shortest(s, v) + dual[s] - dual[v]
// dist[v] >= 0 (all reduced cost are positive)
// dist[v] <= (n-1)C
for (int i = 0; i < int(g[v].size()); i++) {
auto e = g[v][i];
if (vis[e.to] || !e.cap)
continue;
// |-dual[e.to] + dual[v]| <= (n-1)C
// cost <= C - -(n-1)C + 0 = nC
Cost cost = e.cost - dual[e.to] + dual[v];
if (dist[e.to] - dist[v] > cost) {
dist[e.to] = dist[v] + cost;
pv[e.to] = v;
pe[e.to] = i;
que.push(Q{dist[e.to], e.to});
}
}
}
if (!vis[t]) {
return false;
}
for (int v = 0; v < _n; v++) {
if (!vis[v])
continue;
// dual[v] = dual[v] - dist[t] + dist[v]
// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) +
// (shortest(s, v) + dual[s] - dual[v]) = - shortest(s, t) +
// dual[t] + shortest(s, v) = shortest(s, v) - shortest(s, t) >=
// 0 - (n-1)C
dual[v] -= dist[t] - dist[v];
}
return true;
};
Cap flow = 0;
Cost cost = 0, prev_cost = -1;
std::vector<std::pair<Cap, Cost>> result;
result.push_back({flow, cost});
while (flow < flow_limit) {
if (!dual_ref())
break;
Cap c = flow_limit - flow;
for (int v = t; v != s; v = pv[v]) {
c = std::min(c, g[pv[v]][pe[v]].cap);
}
for (int v = t; v != s; v = pv[v]) {
auto &e = g[pv[v]][pe[v]];
e.cap -= c;
g[v][e.rev].cap += c;
}
Cost d = -dual[s];
flow += c;
cost += c * d;
if (prev_cost == d) {
result.pop_back();
}
result.push_back({flow, cost});
prev_cost = cost;
}
return result;
}
private:
int _n;
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
};
} // namespace atcoder
#endif // ATCODER_MINCOSTFLOW_HPP
#ifndef ATCODER_SCC_HPP
#define ATCODER_SCC_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
struct scc_graph {
public:
scc_graph() : internal(0) {}
scc_graph(int n) : internal(n) {}
void add_edge(int from, int to) {
int n = internal.num_vertices();
assert(0 <= from && from < n);
assert(0 <= to && to < n);
internal.add_edge(from, to);
}
std::vector<std::vector<int>> scc() { return internal.scc(); }
private:
internal::scc_graph internal;
};
} // namespace atcoder
#endif // ATCODER_SCC_HPP
#ifndef ATCODER_SEGTREE_HPP
#define ATCODER_SEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <vector>
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
#endif // ATCODER_SEGTREE_HPP
#ifndef ATCODER_STRING_HPP
#define ATCODER_STRING_HPP 1
#include <algorithm>
#include <cassert>
#include <numeric>
#include <string>
#include <vector>
namespace atcoder {
namespace internal {
std::vector<int> sa_naive(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n);
std::iota(sa.begin(), sa.end(), 0);
std::sort(sa.begin(), sa.end(), [&](int l, int r) {
if (l == r)
return false;
while (l < n && r < n) {
if (s[l] != s[r])
return s[l] < s[r];
l++;
r++;
}
return l == n;
});
return sa;
}
std::vector<int> sa_doubling(const std::vector<int> &s) {
int n = int(s.size());
std::vector<int> sa(n), rnk = s, tmp(n);
std::iota(sa.begin(), sa.end(), 0);
for (int k = 1; k < n; k *= 2) {
auto cmp = [&](int x, int y) {
if (rnk[x] != rnk[y])
return rnk[x] < rnk[y];
int rx = x + k < n ? rnk[x + k] : -1;
int ry = y + k < n ? rnk[y + k] : -1;
return rx < ry;
};
std::sort(sa.begin(), sa.end(), cmp);
tmp[sa[0]] = 0;
for (int i = 1; i < n; i++) {
tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
}
std::swap(tmp, rnk);
}
return sa;
}
// SA-IS, linear-time suffix array construction
// Reference:
// G. Nong, S. Zhang, and W. H. Chan,
// Two Efficient Algorithms for Linear Time Suffix Array Construction
template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
std::vector<int> sa_is(const std::vector<int> &s, int upper) {
int n = int(s.size());
if (n == 0)
return {};
if (n == 1)
return {0};
if (n == 2) {
if (s[0] < s[1]) {
return {0, 1};
} else {
return {1, 0};
}
}
if (n < THRESHOLD_NAIVE) {
return sa_naive(s);
}
if (n < THRESHOLD_DOUBLING) {
return sa_doubling(s);
}
std::vector<int> sa(n);
std::vector<bool> ls(n);
for (int i = n - 2; i >= 0; i--) {
ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
}
std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
for (int i = 0; i < n; i++) {
if (!ls[i]) {
sum_s[s[i]]++;
} else {
sum_l[s[i] + 1]++;
}
}
for (int i = 0; i <= upper; i++) {
sum_s[i] += sum_l[i];
if (i < upper)
sum_l[i + 1] += sum_s[i];
}
auto induce = [&](const std::vector<int> &lms) {
std::fill(sa.begin(), sa.end(), -1);
std::vector<int> buf(upper + 1);
std::copy(sum_s.begin(), sum_s.end(), buf.begin());
for (auto d : lms) {
if (d == n)
continue;
sa[buf[s[d]]++] = d;
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
sa[buf[s[n - 1]]++] = n - 1;
for (int i = 0; i < n; i++) {
int v = sa[i];
if (v >= 1 && !ls[v - 1]) {
sa[buf[s[v - 1]]++] = v - 1;
}
}
std::copy(sum_l.begin(), sum_l.end(), buf.begin());
for (int i = n - 1; i >= 0; i--) {
int v = sa[i];
if (v >= 1 && ls[v - 1]) {
sa[--buf[s[v - 1] + 1]] = v - 1;
}
}
};
std::vector<int> lms_map(n + 1, -1);
int m = 0;
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms_map[i] = m++;
}
}
std::vector<int> lms;
lms.reserve(m);
for (int i = 1; i < n; i++) {
if (!ls[i - 1] && ls[i]) {
lms.push_back(i);
}
}
induce(lms);
if (m) {
std::vector<int> sorted_lms;
sorted_lms.reserve(m);
for (int v : sa) {
if (lms_map[v] != -1)
sorted_lms.push_back(v);
}
std::vector<int> rec_s(m);
int rec_upper = 0;
rec_s[lms_map[sorted_lms[0]]] = 0;
for (int i = 1; i < m; i++) {
int l = sorted_lms[i - 1], r = sorted_lms[i];
int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
bool same = true;
if (end_l - l != end_r - r) {
same = false;
} else {
while (l < end_l) {
if (s[l] != s[r]) {
break;
}
l++;
r++;
}
if (l == n || s[l] != s[r])
same = false;
}
if (!same)
rec_upper++;
rec_s[lms_map[sorted_lms[i]]] = rec_upper;
}
auto rec_sa = sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
for (int i = 0; i < m; i++) {
sorted_lms[i] = lms[rec_sa[i]];
}
induce(sorted_lms);
}
return sa;
}
} // namespace internal
std::vector<int> suffix_array(const std::vector<int> &s, int upper) {
assert(0 <= upper);
for (int d : s) {
assert(0 <= d && d <= upper);
}
auto sa = internal::sa_is(s, upper);
return sa;
}
template <class T> std::vector<int> suffix_array(const std::vector<T> &s) {
int n = int(s.size());
std::vector<int> idx(n);
iota(idx.begin(), idx.end(), 0);
sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
std::vector<int> s2(n);
int now = 0;
for (int i = 0; i < n; i++) {
if (i && s[idx[i - 1]] != s[idx[i]])
now++;
s2[idx[i]] = now;
}
return internal::sa_is(s2, now);
}
std::vector<int> suffix_array(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return internal::sa_is(s2, 255);
}
// Reference:
// T. Kasai, G. Lee, H. Arimura, S. Arikawa, and K. Park,
// Linear-Time Longest-Common-Prefix Computation in Suffix Arrays and Its
// Applications
template <class T>
std::vector<int> lcp_array(const std::vector<T> &s,
const std::vector<int> &sa) {
int n = int(s.size());
assert(n >= 1);
std::vector<int> rnk(n);
for (int i = 0; i < n; i++) {
rnk[sa[i]] = i;
}
std::vector<int> lcp(n - 1);
int h = 0;
for (int i = 0; i < n; i++) {
if (h > 0)
h--;
if (rnk[i] == 0)
continue;
int j = sa[rnk[i] - 1];
for (; j + h < n && i + h < n; h++) {
if (s[j + h] != s[i + h])
break;
}
lcp[rnk[i] - 1] = h;
}
return lcp;
}
std::vector<int> lcp_array(const std::string &s, const std::vector<int> &sa) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return lcp_array(s2, sa);
}
// Reference:
// D. Gusfield,
// Algorithms on Strings, Trees, and Sequences: Computer Science and
// Computational Biology
template <class T> std::vector<int> z_algorithm(const std::vector<T> &s) {
int n = int(s.size());
if (n == 0)
return {};
std::vector<int> z(n);
z[0] = 0;
for (int i = 1, j = 0; i < n; i++) {
int &k = z[i];
k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
while (i + k < n && s[k] == s[i + k])
k++;
if (j + z[j] < i + z[i])
j = i;
}
z[0] = n;
return z;
}
std::vector<int> z_algorithm(const std::string &s) {
int n = int(s.size());
std::vector<int> s2(n);
for (int i = 0; i < n; i++) {
s2[i] = s[i];
}
return z_algorithm(s2);
}
} // namespace atcoder
#endif // ATCODER_STRING_HPP
#ifndef ATCODER_TWOSAT_HPP
#define ATCODER_TWOSAT_HPP 1
#include <cassert>
#include <vector>
namespace atcoder {
// Reference:
// B. Aspvall, M. Plass, and R. Tarjan,
// A Linear-Time Algorithm for Testing the Truth of Certain Quantified Boolean
// Formulas
struct two_sat {
public:
two_sat() : _n(0), scc(0) {}
two_sat(int n) : _n(n), _answer(n), scc(2 * n) {}
void add_clause(int i, bool f, int j, bool g) {
assert(0 <= i && i < _n);
assert(0 <= j && j < _n);
scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0));
scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0));
}
bool satisfiable() {
auto id = scc.scc_ids().second;
for (int i = 0; i < _n; i++) {
if (id[2 * i] == id[2 * i + 1])
return false;
_answer[i] = id[2 * i] < id[2 * i + 1];
}
return true;
}
std::vector<bool> answer() { return _answer; }
private:
int _n;
std::vector<bool> _answer;
internal::scc_graph scc;
};
} // namespace atcoder
#endif // ATCODER_TWOSAT_HPP
#include <bits/stdc++.h>
#include <bitset>
#include <iostream>
#include <limits>
#include <numeric>
#include <type_traits>
using namespace atcoder;
using namespace std;
#define rep(i, n, m) for (ll(i) = (n); (i) < (m); (i)++)
#define rrep(i, n, m) for (ll(i) = (n); (i) > (m); (i)--)
using ll = long long;
const ll mod = 998244353;
const ll inf = 1000000000;
int op(int a, int b) { return max(a, b); }
int e() { return -1; }
int tg = 0;
bool f(int a) { return a < tg; }
int main() {
int N, Q;
cin >> N >> Q;
segtree<int, op, e> st(N);
rep(i, 0, N) {
int a;
cin >> a;
st.set(i, a);
}
rep(loop, 0, Q) {
int T, X, V;
cin >> T >> X >> V;
if (T == 1) {
st.set(X - 1, V);
} else if (T == 2) {
cout << st.prod(X - 1, V) << '\n';
} else {
tg = V;
int ind = st.max_right<f>(X - 1);
cout << ind + 1 << '\n';
}
}
}
| replace | 1,988 | 1,989 | 1,988 | 1,989 | 0 | |
p02567 | C++ | Runtime Error | // warm heart, wagging tail,and a smile just for you!
// ███████████
// ███╬╬╬╬╬╬╬╬╬╬███
// ███╬╬╬╬╬████╬╬╬╬╬╬███
// ███████████
// ██╬╬╬╬╬████╬╬████╬╬╬╬╬██
// █████████╬╬╬╬╬████████████╬╬╬╬╬██╬╬╬╬╬╬███╬╬╬╬╬██
// ████████╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬█████████╬╬╬╬╬╬██╬╬╬╬╬╬╬██
// ████╬██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬█████████╬╬╬╬╬╬╬╬╬╬╬██
// ███╬╬╬█╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬███╬╬╬╬╬╬╬█████
// ███╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬╬████████╬╬╬╬╬██
// ███╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬███╬╬╬╬╬╬╬╬╬███
// ███╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬█████╬╬╬╬╬╬╬██
// ████╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬████╬╬╬╬╬████
// █████████████╬╬╬╬╬╬╬╬██╬╬╬╬╬████╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬█████╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬███╬╬╬╬██████
// ████╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬██████╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██████╬╬╬╬╬╬╬███████████╬╬╬╬╬╬╬╬██╬╬╬██╬╬╬██
// ███╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬████╬╬╬╬╬╬╬╬╬╬╬█╬╬╬╬╬╬╬██╬╬╬╬╬╬╬╬██
// ██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬╬╬▓▓▓▓▓▓╬╬╬████╬╬████╬╬╬╬╬╬╬▓▓▓▓▓▓▓▓██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬╬╬╬╬╬███
// ██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██████▓▓▓▓▓▓▓╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬▓▓▓▓▓▓▓██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬╬╬█████
// ███╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬███╬╬╬╬╬██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬█████╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬████████
// ███╬╬╬╬╬╬╬╬╬╬╬╬╬█████╬╬╬╬╬╬╬╬██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬███╬╬██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██
// ██████████████
// ████╬╬╬╬╬╬███████████████████████████╬╬╬╬╬██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬████
// ███████ █████
// ███████████████████
//
#include "bits/stdc++.h"
using namespace std;
#define INF (1 << 30)
#define LINF (1LL << 60)
#define fs first
#define sc second
#define int long long
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define FOR2(i, a, b) for (int i = (a); i <= (b); ++i)
#define RFOR(i, a, b) for (int i = (b - 1); i >= (a); --i)
#define RFOR2(i, a, b) for (int i = (b); i >= (a); --i)
#define REP(i, n) FOR(i, 0, (n))
#define REP2(i, n) FOR2(i, 0, (n))
#define RREP(i, n) RFOR(i, 0, (n))
#define RREP2(i, n) RFOR2(i, 0, (n))
#define ITR(itr, mp) for (auto itr = (mp).begin(); itr != (mp).end(); ++itr)
#define RITR(itr, mp) for (auto itr = (mp).rbegin(); itr != (mp).rend(); ++itr)
#define range(i, a, b) ((a) <= (i) && (i) < (b))
#define range2(i, a, b) ((a) <= (i) && (i) <= (b))
#define debug(x) cout << #x << " = " << (x) << endl
#define SP << " " <<
template <typename T1, typename T2> inline bool chmin(T1 &a, T2 b) {
if (a > b) {
a = b;
return true;
} else
return false;
}
template <typename T1, typename T2> inline bool chmax(T1 &a, T2 b) {
if (a < b) {
a = b;
return true;
} else
return false;
}
#define MSB(x) (63 - __builtin_clzll(x))
#define pcnt(x) (__builtin_popcountll(x))
#define parity(i, j) (i & (1LL << j))
typedef pair<int, int> P;
typedef tuple<int, int, int> T;
typedef vector<int> vec;
typedef vector<vector<int>> mat;
template <class S, S (*op)(S, S), S (*e)()> struct SegmentTree {
public:
SegmentTree() : SegmentTree(0) {}
SegmentTree(int n) : SegmentTree(std::vector<S>(n, e())) {}
SegmentTree(const std::vector<S> &v) : _n(v.size()) {
log = MSB(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void update(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S query(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S get_all() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
int f(int a, int b) { return max(a, b); }
int e() { return -INF; }
void solve() {
int N, Q;
cin >> N >> Q;
vector<int> a(N);
REP(i, N) cin >> a[i];
SegmentTree<int, f, e> seg(a);
REP(_, Q) {
int x, y, z;
cin >> x >> y >> z;
if (x == 1)
seg.update(y - 1, z);
if (x == 2)
cout << seg.query(y - 1, z) << endl;
if (x == 3) {
auto check = [&](int v) { return v < z; };
cout << seg.max_right(y - 1, check) + 1 << endl;
}
}
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
int T = 1;
// cin >> T;
while (T--)
solve();
return 0;
} | // warm heart, wagging tail,and a smile just for you!
// ███████████
// ███╬╬╬╬╬╬╬╬╬╬███
// ███╬╬╬╬╬████╬╬╬╬╬╬███
// ███████████
// ██╬╬╬╬╬████╬╬████╬╬╬╬╬██
// █████████╬╬╬╬╬████████████╬╬╬╬╬██╬╬╬╬╬╬███╬╬╬╬╬██
// ████████╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬█████████╬╬╬╬╬╬██╬╬╬╬╬╬╬██
// ████╬██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬█████████╬╬╬╬╬╬╬╬╬╬╬██
// ███╬╬╬█╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬███╬╬╬╬╬╬╬█████
// ███╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬╬████████╬╬╬╬╬██
// ███╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬███╬╬╬╬╬╬╬╬╬███
// ███╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬█████╬╬╬╬╬╬╬██
// ████╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬████╬╬╬╬╬████
// █████████████╬╬╬╬╬╬╬╬██╬╬╬╬╬████╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬█████╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬███╬╬╬╬██████
// ████╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬██████╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██████╬╬╬╬╬╬╬███████████╬╬╬╬╬╬╬╬██╬╬╬██╬╬╬██
// ███╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬████╬╬╬╬╬╬╬╬╬╬╬█╬╬╬╬╬╬╬██╬╬╬╬╬╬╬╬██
// ██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬╬╬▓▓▓▓▓▓╬╬╬████╬╬████╬╬╬╬╬╬╬▓▓▓▓▓▓▓▓██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬╬╬╬╬╬███
// ██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██████▓▓▓▓▓▓▓╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬▓▓▓▓▓▓▓██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██╬╬╬╬█████
// ███╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬███╬╬╬╬╬██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬█████╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬████████
// ███╬╬╬╬╬╬╬╬╬╬╬╬╬█████╬╬╬╬╬╬╬╬██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬███╬╬██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬██
// ██████████████
// ████╬╬╬╬╬╬███████████████████████████╬╬╬╬╬██╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬╬████
// ███████ █████
// ███████████████████
//
#include "bits/stdc++.h"
using namespace std;
#define INF (1 << 30)
#define LINF (1LL << 60)
#define fs first
#define sc second
#define int long long
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define FOR2(i, a, b) for (int i = (a); i <= (b); ++i)
#define RFOR(i, a, b) for (int i = (b - 1); i >= (a); --i)
#define RFOR2(i, a, b) for (int i = (b); i >= (a); --i)
#define REP(i, n) FOR(i, 0, (n))
#define REP2(i, n) FOR2(i, 0, (n))
#define RREP(i, n) RFOR(i, 0, (n))
#define RREP2(i, n) RFOR2(i, 0, (n))
#define ITR(itr, mp) for (auto itr = (mp).begin(); itr != (mp).end(); ++itr)
#define RITR(itr, mp) for (auto itr = (mp).rbegin(); itr != (mp).rend(); ++itr)
#define range(i, a, b) ((a) <= (i) && (i) < (b))
#define range2(i, a, b) ((a) <= (i) && (i) <= (b))
#define debug(x) cout << #x << " = " << (x) << endl
#define SP << " " <<
template <typename T1, typename T2> inline bool chmin(T1 &a, T2 b) {
if (a > b) {
a = b;
return true;
} else
return false;
}
template <typename T1, typename T2> inline bool chmax(T1 &a, T2 b) {
if (a < b) {
a = b;
return true;
} else
return false;
}
#define MSB(x) (63 - __builtin_clzll(x))
#define pcnt(x) (__builtin_popcountll(x))
#define parity(i, j) (i & (1LL << j))
typedef pair<int, int> P;
typedef tuple<int, int, int> T;
typedef vector<int> vec;
typedef vector<vector<int>> mat;
template <class S, S (*op)(S, S), S (*e)()> struct SegmentTree {
public:
SegmentTree() : SegmentTree(0) {}
SegmentTree(int n) : SegmentTree(std::vector<S>(n, e())) {}
SegmentTree(const std::vector<S> &v) : _n(v.size()) {
log = MSB(_n) + 1;
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void update(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S query(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S get_all() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n)
return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0)
return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
int f(int a, int b) { return max(a, b); }
int e() { return -INF; }
void solve() {
int N, Q;
cin >> N >> Q;
vector<int> a(N);
REP(i, N) cin >> a[i];
SegmentTree<int, f, e> seg(a);
REP(_, Q) {
int x, y, z;
cin >> x >> y >> z;
if (x == 1)
seg.update(y - 1, z);
if (x == 2)
cout << seg.query(y - 1, z) << endl;
if (x == 3) {
auto check = [&](int v) { return v < z; };
cout << seg.max_right(y - 1, check) + 1 << endl;
}
}
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
int T = 1;
// cin >> T;
while (T--)
solve();
return 0;
} | replace | 74 | 75 | 74 | 75 | 0 | |
p02568 | C++ | Runtime Error | #include <iostream>
#include <vector>
using namespace std;
// ax+b -> c(ax+b) + d = acx + bc + d
const int MOD = 998244353;
template <typename T, typename F, typename W = int> class LazySegTree {
public:
explicit LazySegTree(int n, T def, F unit)
: N(calcN_(n)), def(def), unit(unit), mVal(2 * calcN_(n), def),
mLazy(2 * calcN_(n), unit), mDirty(2 * calcN_(n), 0),
mWidth(2 * calcN_(n), 1) {
for (int i = N - 2; i >= 0; i--)
mWidth[i] = mWidth[2 * i + 1] + mWidth[2 * i + 2];
}
explicit LazySegTree(int n, T init, T def, F unit)
: LazySegTree(n, def, unit) {
for (int i = 0; i < n; i++)
mVal[N - 1 + i] = init;
for (int i = N - 2; i >= 0; i--)
mVal[i] = operate_(mVal[2 * i + 1], mVal[2 * i + 2]);
}
explicit LazySegTree(int n, vector<T> init, T def, F unit)
: LazySegTree(n, def, unit) {
for (int i = 0; i < n; i++)
mVal[N - 1 + i] = init[i];
for (int i = N - 2; i >= 0; i--)
mVal[i] = operate_(mVal[2 * i + 1], mVal[2 * i + 2]);
}
void setWidth(const vector<W> &w) {
for (int i = 0; i < w.size(); i++)
mWidth[N - 1 + i] = w[i];
for (int i = N - 2; i >= 0; i--)
mWidth[i] = mWidth[2 * i + 1] + mWidth[2 * i + 2];
}
void update(int l, int r, F value) { updateImpl_(l, r, value, 0, 0, N); }
T get(int l, int r) { return getImpl_(l, r, 0, 0, N); }
private:
int calcN_(int n) {
int res = 1;
while (res < n)
res *= 2;
return res;
}
void updateImpl_(int l, int r, F value, int idx, int rangeL, int rangeR) {
eval_(idx, rangeL, rangeR);
if (r <= rangeL || rangeR <= l)
return;
if (l <= rangeL && rangeR <= r) {
setLazy_(idx, value);
eval_(idx, rangeL, rangeR);
} else {
int rangeM = (rangeL + rangeR) / 2;
updateImpl_(l, r, value, 2 * idx + 1, rangeL, rangeM);
updateImpl_(l, r, value, 2 * idx + 2, rangeM, rangeR);
mVal[idx] = operate_(mVal[2 * idx + 1], mVal[2 * idx + 2]);
}
}
void setLazy_(int idx, F value) {
mulFunc_(value, mLazy[idx]);
mDirty[idx] = 1;
}
T getImpl_(int l, int r, int idx, int rangeL, int rangeR) {
if (r <= rangeL || rangeR <= l)
return def;
eval_(idx, rangeL, rangeR);
if (l <= rangeL && rangeR <= r)
return mVal[idx];
int rangeM = (rangeL + rangeR) / 2;
T a = getImpl_(l, r, 2 * idx + 1, rangeL, rangeM);
T b = getImpl_(l, r, 2 * idx + 2, rangeM, rangeR);
return operate_(a, b);
}
void eval_(int idx, int rangeL, int rangeR) {
if (!mDirty[idx])
return;
applyFunc_(idx);
if (idx < N) {
setLazy_(2 * idx + 1, mLazy[idx]);
setLazy_(2 * idx + 2, mLazy[idx]);
}
mLazy[idx] = unit;
mDirty[idx] = 0;
}
T operate_(T a, T b) const { return (a + b) % MOD; }
void mulFunc_(F f, F &cur) {
auto t = cur;
cur.first = (t.first * f.first) % MOD;
cur.second = (t.second * f.first + f.second) % MOD;
}
void applyFunc_(int idx) {
mVal[idx] =
(mLazy[idx].first * mVal[idx] + mWidth[idx] * mLazy[idx].second) % MOD;
}
const int N;
const T def;
const F unit;
vector<W> mWidth;
vector<T> mVal;
vector<F> mLazy;
vector<int> mDirty;
};
int main() {
int N, Q;
cin >> N >> Q;
vector<long long> a(N);
for (auto &t : a)
cin >> t;
LazySegTree<long long, pair<long long, long long>> seg(N, a, 0,
make_pair(1, 0));
for (int i = 0; i < Q; i++) {
int t;
cin >> t;
if (t == 0) {
int l, r, b, c;
cin >> l >> r >> b >> c;
seg.update(l, r, make_pair(b, c));
} else {
int l, r;
cin >> l >> r;
cout << seg.get(l, r) << endl;
}
}
} | #include <iostream>
#include <vector>
using namespace std;
// ax+b -> c(ax+b) + d = acx + bc + d
const int MOD = 998244353;
template <typename T, typename F, typename W = int> class LazySegTree {
public:
explicit LazySegTree(int n, T def, F unit)
: N(calcN_(n)), def(def), unit(unit), mVal(2 * calcN_(n), def),
mLazy(2 * calcN_(n), unit), mDirty(2 * calcN_(n), 0),
mWidth(2 * calcN_(n), 1) {
for (int i = N - 2; i >= 0; i--)
mWidth[i] = mWidth[2 * i + 1] + mWidth[2 * i + 2];
}
explicit LazySegTree(int n, T init, T def, F unit)
: LazySegTree(n, def, unit) {
for (int i = 0; i < n; i++)
mVal[N - 1 + i] = init;
for (int i = N - 2; i >= 0; i--)
mVal[i] = operate_(mVal[2 * i + 1], mVal[2 * i + 2]);
}
explicit LazySegTree(int n, vector<T> init, T def, F unit)
: LazySegTree(n, def, unit) {
for (int i = 0; i < n; i++)
mVal[N - 1 + i] = init[i];
for (int i = N - 2; i >= 0; i--)
mVal[i] = operate_(mVal[2 * i + 1], mVal[2 * i + 2]);
}
void setWidth(const vector<W> &w) {
for (int i = 0; i < w.size(); i++)
mWidth[N - 1 + i] = w[i];
for (int i = N - 2; i >= 0; i--)
mWidth[i] = mWidth[2 * i + 1] + mWidth[2 * i + 2];
}
void update(int l, int r, F value) { updateImpl_(l, r, value, 0, 0, N); }
T get(int l, int r) { return getImpl_(l, r, 0, 0, N); }
private:
int calcN_(int n) {
int res = 1;
while (res < n)
res *= 2;
return res;
}
void updateImpl_(int l, int r, F value, int idx, int rangeL, int rangeR) {
eval_(idx, rangeL, rangeR);
if (r <= rangeL || rangeR <= l)
return;
if (l <= rangeL && rangeR <= r) {
setLazy_(idx, value);
eval_(idx, rangeL, rangeR);
} else {
int rangeM = (rangeL + rangeR) / 2;
updateImpl_(l, r, value, 2 * idx + 1, rangeL, rangeM);
updateImpl_(l, r, value, 2 * idx + 2, rangeM, rangeR);
mVal[idx] = operate_(mVal[2 * idx + 1], mVal[2 * idx + 2]);
}
}
void setLazy_(int idx, F value) {
mulFunc_(value, mLazy[idx]);
mDirty[idx] = 1;
}
T getImpl_(int l, int r, int idx, int rangeL, int rangeR) {
if (r <= rangeL || rangeR <= l)
return def;
eval_(idx, rangeL, rangeR);
if (l <= rangeL && rangeR <= r)
return mVal[idx];
int rangeM = (rangeL + rangeR) / 2;
T a = getImpl_(l, r, 2 * idx + 1, rangeL, rangeM);
T b = getImpl_(l, r, 2 * idx + 2, rangeM, rangeR);
return operate_(a, b);
}
void eval_(int idx, int rangeL, int rangeR) {
if (!mDirty[idx])
return;
applyFunc_(idx);
if (idx < N - 1) {
setLazy_(2 * idx + 1, mLazy[idx]);
setLazy_(2 * idx + 2, mLazy[idx]);
}
mLazy[idx] = unit;
mDirty[idx] = 0;
}
T operate_(T a, T b) const { return (a + b) % MOD; }
void mulFunc_(F f, F &cur) {
auto t = cur;
cur.first = (t.first * f.first) % MOD;
cur.second = (t.second * f.first + f.second) % MOD;
}
void applyFunc_(int idx) {
mVal[idx] =
(mLazy[idx].first * mVal[idx] + mWidth[idx] * mLazy[idx].second) % MOD;
}
const int N;
const T def;
const F unit;
vector<W> mWidth;
vector<T> mVal;
vector<F> mLazy;
vector<int> mDirty;
};
int main() {
int N, Q;
cin >> N >> Q;
vector<long long> a(N);
for (auto &t : a)
cin >> t;
LazySegTree<long long, pair<long long, long long>> seg(N, a, 0,
make_pair(1, 0));
for (int i = 0; i < Q; i++) {
int t;
cin >> t;
if (t == 0) {
int l, r, b, c;
cin >> l >> r >> b >> c;
seg.update(l, r, make_pair(b, c));
} else {
int l, r;
cin >> l >> r;
cout << seg.get(l, r) << endl;
}
}
} | replace | 81 | 82 | 81 | 82 | 0 | |
p02570 | C++ | Runtime Error | #include <stdio.h>
int main(void) {
int d, t, s;
printf("距離・待ち合わせ時刻・分速を入力...");
scanf("%d $d %d", &d, &t, &s);
if (d / s <= t) {
printf("Yes");
} else
printf("No");
return 0;
} | #include <stdio.h>
int main(void) {
int d, t, s;
scanf("%d %d %d", &d, &t, &s);
if (t * s >= d) {
printf("Yes");
} else
printf("No");
return 0;
} | replace | 3 | 6 | 3 | 5 | -8 | |
p02570 | C++ | Runtime Error | #include <iostream>
int main(int args, char *argc[]) {
int D = std::stoi(std::string(argc[1]));
int T = std::stoi(std::string(argc[2]));
int S = std::stoi(std::string(argc[3]));
if (T * S >= D)
std::cout << "Yes";
else
std::cout << "No";
std::cout << std::endl;
return 0;
} | #include <iostream>
int main(void) {
int D, T, S;
std::cin >> D >> T >> S;
if (T * S >= D)
std::cout << "Yes";
else
std::cout << "No";
std::cout << std::endl;
return 0;
} | replace | 2 | 6 | 2 | 5 | -6 | terminate called after throwing an instance of 'std::logic_error'
what(): basic_string: construction from null is not valid
|
p02570 | C++ | Runtime Error | #include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define sim template <class c
#define ris return *this
#define dor > debug &operator<<
#define eni(x) \
sim > typename enable_if<sizeof dud<c>(0) x 1, debug &>::type operator<<( \
c i) {
sim > struct rge {
c b, e;
};
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c *x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifdef XOX
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i;
ris;
} eni(==) ris << range(begin(i), end(i));
}
sim, class b dor(pair<b, c> d) {
ris << "" << d.first << " --> " << d.second << "";
}
sim dor(rge<c> d) {
*this << "[";
for (auto it = d.b; it != d.e; ++it)
*this << ", " + 2 * (it == d.b) << *it;
ris << "]";
}
#else
sim dor(const c &) { ris; }
#endif
}
;
#define imie(...) "" << #__VA_ARGS__ " = " << (__VA_ARGS__) << ", "
#define F first
#define S second
#define endl '\n'
#define pb emplace_back
#define mp make_pair
#define gcd(a, b) __gcd(a, b)
#define lcm(a, b) (a * b) / gcd(a, b)
#define all(v) (v).begin(), (v).end()
#define lb(v, val) (lower_bound(v.begin(), v.end(), val) - v.begin())
#define ub(v, val) (upper_bound(v.begin(), v.end(), val) - v.begin())
#define fast \
ios_base::sync_with_stdio(0); \
cin.tie(); \
cout.tie()
#define min3(x, y, z) (x < y ? (x < z ? x : z) : (y < z ? y : z))
#define max3(x, y, z) (x > y ? (x > z ? x : z) : (y > z ? y : z))
#define MAX_N int(1e6 + 7)
#define MAX_M int(1e6 + 7)
#define MAX_V int(1e6 + 7)
#define oo int(1e9 + 217)
#define MOD int(1e9 + 7)
using ll = long long;
using vi = vector<int>;
using vl = vector<ll>;
using vpii = vector<pair<int, int>>;
using pii = pair<int, int>;
typedef tree<int, null_type, less<int>, rb_tree_tag,
tree_order_statistics_node_update>
oset;
void solve() {}
int main() {
fast;
string s, t;
int ans = oo;
cin >> s >> t;
for (int i = 0; i <= s.size() - t.size(); i++) {
int cnt = 0;
int poz = i;
for (int j = 0; j < t.size(); j++) {
if (s[poz] != t[j])
cnt++;
poz++;
}
ans = min(ans, cnt);
}
cout << ans;
} | #include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define sim template <class c
#define ris return *this
#define dor > debug &operator<<
#define eni(x) \
sim > typename enable_if<sizeof dud<c>(0) x 1, debug &>::type operator<<( \
c i) {
sim > struct rge {
c b, e;
};
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c *x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifdef XOX
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i;
ris;
} eni(==) ris << range(begin(i), end(i));
}
sim, class b dor(pair<b, c> d) {
ris << "" << d.first << " --> " << d.second << "";
}
sim dor(rge<c> d) {
*this << "[";
for (auto it = d.b; it != d.e; ++it)
*this << ", " + 2 * (it == d.b) << *it;
ris << "]";
}
#else
sim dor(const c &) { ris; }
#endif
}
;
#define imie(...) "" << #__VA_ARGS__ " = " << (__VA_ARGS__) << ", "
#define F first
#define S second
#define endl '\n'
#define pb emplace_back
#define mp make_pair
#define gcd(a, b) __gcd(a, b)
#define lcm(a, b) (a * b) / gcd(a, b)
#define all(v) (v).begin(), (v).end()
#define lb(v, val) (lower_bound(v.begin(), v.end(), val) - v.begin())
#define ub(v, val) (upper_bound(v.begin(), v.end(), val) - v.begin())
#define fast \
ios_base::sync_with_stdio(0); \
cin.tie(); \
cout.tie()
#define min3(x, y, z) (x < y ? (x < z ? x : z) : (y < z ? y : z))
#define max3(x, y, z) (x > y ? (x > z ? x : z) : (y > z ? y : z))
#define MAX_N int(1e6 + 7)
#define MAX_M int(1e6 + 7)
#define MAX_V int(1e6 + 7)
#define oo int(1e9 + 217)
#define MOD int(1e9 + 7)
using ll = long long;
using vi = vector<int>;
using vl = vector<ll>;
using vpii = vector<pair<int, int>>;
using pii = pair<int, int>;
typedef tree<int, null_type, less<int>, rb_tree_tag,
tree_order_statistics_node_update>
oset;
void solve() {}
int main() {
fast;
int d, t, s;
cin >> d >> t >> s;
if (s * t >= d)
puts("Yes");
else
puts("No");
}
| replace | 77 | 91 | 77 | 83 | 0 | |
p02570 | C++ | Runtime Error | #include <bits/stdc++.h>
// #define int ll
typedef long long ll;
const int INF = 0x3f3f3f3f;
const int mod = 1e9 + 7;
const int MAX = 1e5 + 10;
using namespace std;
int solve() {
int d, t, s;
cin >> d >> t >> s;
cout << (t * s >= d ? "Yes" : "No") << endl;
}
signed main() {
// ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
int _ = 1;
// cin>>_;
while (_--) {
solve();
}
return 0;
} | #include <bits/stdc++.h>
// #define int ll
typedef long long ll;
const int INF = 0x3f3f3f3f;
const int mod = 1e9 + 7;
const int MAX = 1e5 + 10;
using namespace std;
int solve() {
int d, t, s;
cin >> d >> t >> s;
cout << (t * s >= d ? "Yes" : "No") << endl;
return 0;
}
signed main() {
// ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
int _ = 1;
// cin>>_;
while (_--) {
solve();
}
return 0;
} | insert | 12 | 12 | 12 | 13 | 0 | |
p02570 | C++ | Runtime Error | #include <algorithm>
#include <chrono>
#include <cmath>
#include <cstring>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <vector>
using namespace std;
typedef long long ll;
typedef pair<int, int> PII;
typedef pair<ll, ll> PLL;
#define INF 1000000000
#define MOD 1000000007
#define EPS 0.00000001
int main() {
int d, t, s;
cin >> d >> t >> s;
if (s * t >= d) {
cout << "Yes" << endl;
} else
cout << "No" << endl;
return 1;
} | #include <algorithm>
#include <chrono>
#include <cmath>
#include <cstring>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <vector>
using namespace std;
typedef long long ll;
typedef pair<int, int> PII;
typedef pair<ll, ll> PLL;
#define INF 1000000000
#define MOD 1000000007
#define EPS 0.00000001
int main() {
int d, t, s;
cin >> d >> t >> s;
if (s * t >= d) {
cout << "Yes" << endl;
} else
cout << "No" << endl;
return 0;
} | replace | 26 | 27 | 26 | 27 | 1 | |
p02570 | C++ | Runtime Error | #include "bits/stdc++.h"
using namespace std;
int main() {
float d, t, s;
scanf("%f %f %f", &d, &t, &s);
return (d / s <= t);
} | #include "bits/stdc++.h"
using namespace std;
int main() {
float d, t, s;
scanf("%f %f %f", &d, &t, &s);
if (d / s <= t) {
printf("Yes");
} else {
printf("No");
}
return 0;
} | replace | 5 | 6 | 5 | 11 | 1 | |
p02570 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
#define ll long long int
#define mod 1000000007
/*
cout<<"\ndebugging\n";
*/
int main() {
ios_base::sync_with_stdio(false); // Fast I/O
cin.tie(NULL);
double t, n, i, j, d, s;
cin >> d >> t >> s;
if (d <= s * t)
return true;
return false;
return 0;
}
| #include <bits/stdc++.h>
using namespace std;
#define ll long long int
#define mod 1000000007
/*
cout<<"\ndebugging\n";
*/
int main() {
ios_base::sync_with_stdio(false); // Fast I/O
cin.tie(NULL);
double t, n, i, j, d, s;
cin >> d >> t >> s;
if (d <= s * t)
cout << "Yes";
else
cout << "No";
return 0;
}
| replace | 18 | 20 | 18 | 21 | 1 | |
p02570 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
#define ll long long int
#define pb push_back
#define mk make_pair
#define mod 1000000007
int main() {
string s, t;
cin >> s >> t;
int ans = INT_MAX;
for (int i = 0; i < s.length() - t.length() + 1; i++) {
string str = s.substr(i, i + t.length());
int c = 0;
for (int j = 0; j < t.length(); j++) {
if (t[j] != str[j])
c++;
}
ans = min(c, ans);
}
cout << ans << endl;
}
| #include <bits/stdc++.h>
using namespace std;
#define ll long long int
#define pb push_back
#define mk make_pair
#define mod 1000000007
int main() {
int d, t, s;
cin >> d >> t >> s;
if (d <= (t * s)) {
cout << "Yes" << endl;
} else
cout << "No" << endl;
} | replace | 7 | 20 | 7 | 13 | 0 | |
p02570 | C++ | Runtime Error | #include <cstdio>
int main() {
int d, t, s;
scanf("%d %d %d", &d, &t, &s);
return t * s >= d;
} | #include <cstdio>
int main() {
int d, t, s;
scanf("%d %d %d", &d, &t, &s);
if (t * s >= d) {
printf("Yes");
} else {
printf("No");
}
} | replace | 6 | 7 | 6 | 11 | 1 | |
p02570 | Python | Runtime Error | D, T, S = list(map(input().split()))
if D <= S * T:
print("Yes")
else:
print("No")
| D, T, S = list(map(int, input().split()))
if D <= S * T:
print("Yes")
else:
print("No")
| replace | 0 | 1 | 0 | 1 | TypeError: map() must have at least two arguments. | Traceback (most recent call last):
File "/home/alex/Documents/bug-detection/input/Project_CodeNet/data/p02570/Python/s822730167.py", line 1, in <module>
D, T, S = list(map(input().split()))
TypeError: map() must have at least two arguments.
|
p02570 | Python | Runtime Error | d, t, s = int(input())
a = d / s
print("Yes" if a <= t else "No")
| d, t, s = map(int, input().split())
a = d / s
print("Yes" if a <= t else "No")
| replace | 0 | 1 | 0 | 1 | ValueError: invalid literal for int() with base 10: '1000 15 80' | Traceback (most recent call last):
File "/home/alex/Documents/bug-detection/input/Project_CodeNet/data/p02570/Python/s514222170.py", line 1, in <module>
d, t, s = int(input())
ValueError: invalid literal for int() with base 10: '1000 15 80'
|
p02570 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
int main() {
string s, t, u;
int ans, c;
cin >> s >> t;
for (int i = 0; i < s.size() - t.size() + 1; i++) {
u = s.substr(i, t.size());
c = 0;
for (int j = 0; j < t.size(); j++) {
if (u[j] != t[j]) {
c++;
}
}
ans = min(1000, c);
}
cout << ans;
return 0;
} | #include <bits/stdc++.h>
using namespace std;
int main() {
double a, b, c;
cin >> a >> b >> c;
if (b >= a / c) {
cout << "Yes";
} else
cout << "No";
return 0;
} | replace | 3 | 17 | 3 | 9 | 0 | |
p02570 | C++ | Runtime Error | #include <iostream>
using namespace std;
int main() {
int d, t, s;
cin >> d >> t >> s;
double speed = d / (t * 1.0);
cout << (s >= speed ? "Yes" : "No");
main();
return 0;
}
| #include <iostream>
using namespace std;
int main() {
int d, t, s;
cin >> d >> t >> s;
double speed = d / (t * 1.0);
cout << (s >= speed ? "Yes" : "No");
return 0;
}
| replace | 11 | 12 | 11 | 12 | -11 | |
p02570 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
int main() {
int D, T, S;
cin >> D, T, S;
if (D / S < T) {
cout << "Yes" << endl;
} else {
cout << "No" << endl;
}
} | #include <bits/stdc++.h>
using namespace std;
int main() {
int D, T, S;
cin >> D >> T >> S;
if (T * S >= D) {
cout << "Yes" << endl;
} else {
cout << "No" << endl;
}
} | replace | 5 | 7 | 5 | 7 | 0 | |
p02570 | C++ | Runtime Error | // #pragma GCC optimize("03,unroll-loops")
// #pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
typedef long long ll;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define ordered_set \
tree<int, null_type, less_equal<int>, rb_tree_tag, \
tree_order_statistics_node_update>
#define pb push_back
#define ff first
#define ss second
#define gcd(a, b) __gcd(a, b)
#define lcm(a, b) ((a) * ((b) / gcd(a, b)))
#define all(v) v.begin(), v.end()
#define lllim 2147483648
#define Pi 2 * acos(0.0)
#define sci(n) scanf("%d", &n)
#define scii(n, m) scanf("%d%d", &n, &m)
#define scl(n) scanf("%lld", &n)
#define scll(n, m) scanf("%lld%lld", &n, &m)
#define pii pair<int, int>
#define pll pair<ll, ll>
#define mem(a, b) memset(a, b, sizeof(a))
#define fill_(a, b) fill(a, a + n, b);
#define MOD 1e9 + 7
#define fast_cin \
ios_base::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0)
#define filein freopen("input.txt", "r", stdin)
#define D(x) cerr << __LINE__ << ": " << #x << " = " << (x) << '\n'
#define case \
int t, cas = 1; \
cin >> t; \
while (t--)
#define rep(i, a, n) for (int i = a; i < n; i++)
#define rev(i, n, a) for (int i = n; i >= a; i--)
/*------------------------------Graph Moves----------------------------*/
// const int fx[]= {+1,-1,+0,+0};
// const int fy[]= {+0,+0,+1,-1};
// const int fx[]= {+0,+0,+1,-1,-1,+1,-1,+1}; // Kings Move
// const int fy[]= {-1,+1,+0,+0,+1,+1,-1,-1}; // Kings Move
// const int fx[]={-2, -2, -1, -1, 1, 1, 2, 2}; // Knights Move
// const int fy[]={-1, 1, -2, 2, -2, 2, -1, 1}; // Knights Move
/*---------------------------------------------------------------------*/
template <class T> void ckmin(T &a, const T &b) { a = b < a ? b : a; }
template <class T> void ckmax(T &a, const T &b) { a = b > a ? b : a; }
template <class T> void read(T &a) { std::cin >> a; }
template <class T> void read(T &a, T &b) { std::cin >> a >> b; }
template <class T> void read(T &a, T &b, T &c) { std::cin >> a >> b >> c; }
template <class T> void read(T &ara, int sidx, int eidx) {
for (int i = sidx; i < eidx; i++)
std::cin >> ara[i];
}
using namespace std;
using namespace __gnu_pbds;
const int maxn = 500;
const int inf = INT_MAX;
bool solve() {
ll d, t, s;
cin >> d >> t >> s;
if ((s * t) >= d) {
cout << "Yes" << endl;
} else
cout << "No" << endl;
}
int main() {
fast_cin;
// case
{ solve(); }
return 0;
}
| // #pragma GCC optimize("03,unroll-loops")
// #pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
typedef long long ll;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define ordered_set \
tree<int, null_type, less_equal<int>, rb_tree_tag, \
tree_order_statistics_node_update>
#define pb push_back
#define ff first
#define ss second
#define gcd(a, b) __gcd(a, b)
#define lcm(a, b) ((a) * ((b) / gcd(a, b)))
#define all(v) v.begin(), v.end()
#define lllim 2147483648
#define Pi 2 * acos(0.0)
#define sci(n) scanf("%d", &n)
#define scii(n, m) scanf("%d%d", &n, &m)
#define scl(n) scanf("%lld", &n)
#define scll(n, m) scanf("%lld%lld", &n, &m)
#define pii pair<int, int>
#define pll pair<ll, ll>
#define mem(a, b) memset(a, b, sizeof(a))
#define fill_(a, b) fill(a, a + n, b);
#define MOD 1e9 + 7
#define fast_cin \
ios_base::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0)
#define filein freopen("input.txt", "r", stdin)
#define D(x) cerr << __LINE__ << ": " << #x << " = " << (x) << '\n'
#define case \
int t, cas = 1; \
cin >> t; \
while (t--)
#define rep(i, a, n) for (int i = a; i < n; i++)
#define rev(i, n, a) for (int i = n; i >= a; i--)
/*------------------------------Graph Moves----------------------------*/
// const int fx[]= {+1,-1,+0,+0};
// const int fy[]= {+0,+0,+1,-1};
// const int fx[]= {+0,+0,+1,-1,-1,+1,-1,+1}; // Kings Move
// const int fy[]= {-1,+1,+0,+0,+1,+1,-1,-1}; // Kings Move
// const int fx[]={-2, -2, -1, -1, 1, 1, 2, 2}; // Knights Move
// const int fy[]={-1, 1, -2, 2, -2, 2, -1, 1}; // Knights Move
/*---------------------------------------------------------------------*/
template <class T> void ckmin(T &a, const T &b) { a = b < a ? b : a; }
template <class T> void ckmax(T &a, const T &b) { a = b > a ? b : a; }
template <class T> void read(T &a) { std::cin >> a; }
template <class T> void read(T &a, T &b) { std::cin >> a >> b; }
template <class T> void read(T &a, T &b, T &c) { std::cin >> a >> b >> c; }
template <class T> void read(T &ara, int sidx, int eidx) {
for (int i = sidx; i < eidx; i++)
std::cin >> ara[i];
}
using namespace std;
using namespace __gnu_pbds;
const int maxn = 500;
const int inf = INT_MAX;
void solve() {
ll d, t, s;
cin >> d >> t >> s;
if ((s * t) >= d) {
cout << "Yes" << endl;
} else
cout << "No" << endl;
}
int main() {
fast_cin;
// case
{ solve(); }
return 0;
}
| replace | 68 | 69 | 68 | 69 | 0 | |
p02570 | C++ | Runtime Error | // #pragma GCC optimize("unroll-loops", "omit-frame-pointer", "inline")
// #pragma GCC option("arch=native", "tune=native", "no-zero-upper")
// #pragma GCC
// target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("tree-vectorize","openmp","predictive-commoning")
// #pragma GCC option("D_GLIBCXX_PARALLEL","openmp")
// #pragma GCC optimize("O3")
// #pragma GCC target("avx2")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> P;
typedef vector<int> vi;
typedef vector<ll> vll;
// #define int long long
#define pb push_back
#define mp make_pair
#define eps 1e-9
#define INF 2000000000 // 2e9
#define LLINF 2000000000000000000ll // 2e18 (llmax:9e18)
#define fi first
#define sec second
#define all(x) (x).begin(), (x).end()
#define sq(x) ((x) * (x))
#define dmp(x) cerr << #x << ": " << x << endl;
template <class T> void chmin(T &a, const T &b) {
if (a > b)
a = b;
}
template <class T> void chmax(T &a, const T &b) {
if (a < b)
a = b;
}
template <class T> using MaxHeap = priority_queue<T>;
template <class T> using MinHeap = priority_queue<T, vector<T>, greater<T>>;
template <class T> vector<T> vect(int len, T elem) {
return vector<T>(len, elem);
}
template <class T, class U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
os << p.fi << ',' << p.sec;
return os;
}
template <class T, class U> istream &operator>>(istream &is, pair<T, U> &p) {
is >> p.fi >> p.sec;
return is;
}
template <class T> ostream &operator<<(ostream &os, const vector<T> &vec) {
for (int i = 0; i < vec.size(); i++) {
os << vec[i];
if (i + 1 < vec.size())
os << ' ';
}
return os;
}
template <class T> istream &operator>>(istream &is, vector<T> &vec) {
for (int i = 0; i < vec.size(); i++)
is >> vec[i];
return is;
}
void fastio() {
cin.tie(0);
ios::sync_with_stdio(0);
cout << fixed << setprecision(20);
}
#define endl "\n"
void solve() {
string s, t;
cin >> s >> t;
int ans = INF;
for (int i = 0; i <= s.size() - t.size(); i++) {
int cnt = 0;
for (int j = 0; j < t.size(); j++) {
if (s[i + j] != t[j])
cnt++;
}
chmin(ans, cnt);
}
cout << ans << endl;
return;
}
signed main() {
fastio();
solve();
// int t; cin >> t; while(t--)solve();
// int t; cin >> t;
// for(int i=1;i<=t;i++){
// cout << "Case #" << i << ": ";
// solve();
// }
return 0;
}
| // #pragma GCC optimize("unroll-loops", "omit-frame-pointer", "inline")
// #pragma GCC option("arch=native", "tune=native", "no-zero-upper")
// #pragma GCC
// target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("tree-vectorize","openmp","predictive-commoning")
// #pragma GCC option("D_GLIBCXX_PARALLEL","openmp")
// #pragma GCC optimize("O3")
// #pragma GCC target("avx2")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> P;
typedef vector<int> vi;
typedef vector<ll> vll;
// #define int long long
#define pb push_back
#define mp make_pair
#define eps 1e-9
#define INF 2000000000 // 2e9
#define LLINF 2000000000000000000ll // 2e18 (llmax:9e18)
#define fi first
#define sec second
#define all(x) (x).begin(), (x).end()
#define sq(x) ((x) * (x))
#define dmp(x) cerr << #x << ": " << x << endl;
template <class T> void chmin(T &a, const T &b) {
if (a > b)
a = b;
}
template <class T> void chmax(T &a, const T &b) {
if (a < b)
a = b;
}
template <class T> using MaxHeap = priority_queue<T>;
template <class T> using MinHeap = priority_queue<T, vector<T>, greater<T>>;
template <class T> vector<T> vect(int len, T elem) {
return vector<T>(len, elem);
}
template <class T, class U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
os << p.fi << ',' << p.sec;
return os;
}
template <class T, class U> istream &operator>>(istream &is, pair<T, U> &p) {
is >> p.fi >> p.sec;
return is;
}
template <class T> ostream &operator<<(ostream &os, const vector<T> &vec) {
for (int i = 0; i < vec.size(); i++) {
os << vec[i];
if (i + 1 < vec.size())
os << ' ';
}
return os;
}
template <class T> istream &operator>>(istream &is, vector<T> &vec) {
for (int i = 0; i < vec.size(); i++)
is >> vec[i];
return is;
}
void fastio() {
cin.tie(0);
ios::sync_with_stdio(0);
cout << fixed << setprecision(20);
}
#define endl "\n"
void solve() {
int d, t, s;
cin >> d >> t >> s;
if (s * t >= d)
cout << "Yes" << endl;
else
cout << "No" << endl;
return;
}
signed main() {
fastio();
solve();
// int t; cin >> t; while(t--)solve();
// int t; cin >> t;
// for(int i=1;i<=t;i++){
// cout << "Case #" << i << ": ";
// solve();
// }
return 0;
}
| replace | 77 | 89 | 77 | 83 | 0 | |
p02571 | C++ | Time Limit Exceeded | #include <bits/stdc++.h>
#include <cmath>
#define ll long long
#define PI 3.14159265358979323846
#define IOS \
ios::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0);
#define pb emplace_back
#define watch5(a, b, c, d, e) \
cerr << #a << ": " << a << " | " << #b << ": " << b << " | " << #c << ": " \
<< c << " | " << #d << ": " << d << " | " << #e << ": " << e << endl;
#define watch4(a, b, c, d) \
cerr << #a << ": " << a << " | " << #b << ": " << b << " | " << #c << ": " \
<< c << " | " << #d << ": " << d << endl;
#define watch3(a, b, c) \
cerr << #a << ": " << a << " | " << #b << ": " << b << " | " << #c << ": " \
<< c << endl;
#define watch2(a, b) \
cerr << #a << ": " << a << " | " << #b << ": " << b << endl;
#define watch(a) cerr << #a << ": " << a << endl;
#define F first
#define S second
#define mod 1073741824
using namespace std;
int min(int a, int b) { return a < b ? a : b; }
int32_t main() {
IOS;
string s, t;
cin >> s >> t;
int ans = t.size();
int n = s.size();
int m = t.size();
for (int i = 0; i < n - m + 1; i++) {
int cnt = 0;
for (int j = 0; j < m; j++) {
watch2(i + j, j) if (s[i + j] != t[j]) {
// watch2(s[i+j],t[j])
cnt++;
}
}
ans = min(ans, cnt);
}
cout << ans;
} | #include <bits/stdc++.h>
#include <cmath>
#define ll long long
#define PI 3.14159265358979323846
#define IOS \
ios::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0);
#define pb emplace_back
#define watch5(a, b, c, d, e) \
cerr << #a << ": " << a << " | " << #b << ": " << b << " | " << #c << ": " \
<< c << " | " << #d << ": " << d << " | " << #e << ": " << e << endl;
#define watch4(a, b, c, d) \
cerr << #a << ": " << a << " | " << #b << ": " << b << " | " << #c << ": " \
<< c << " | " << #d << ": " << d << endl;
#define watch3(a, b, c) \
cerr << #a << ": " << a << " | " << #b << ": " << b << " | " << #c << ": " \
<< c << endl;
#define watch2(a, b) \
cerr << #a << ": " << a << " | " << #b << ": " << b << endl;
#define watch(a) cerr << #a << ": " << a << endl;
#define F first
#define S second
#define mod 1073741824
using namespace std;
int min(int a, int b) { return a < b ? a : b; }
int32_t main() {
IOS;
string s, t;
cin >> s >> t;
int ans = t.size();
int n = s.size();
int m = t.size();
for (int i = 0; i < n - m + 1; i++) {
int cnt = 0;
for (int j = 0; j < m; j++) {
// watch2(i+j,j)
if (s[i + j] != t[j]) {
// watch2(s[i+j],t[j])
cnt++;
}
}
ans = min(ans, cnt);
}
cout << ans;
} | replace | 38 | 39 | 38 | 40 | TLE | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
int main() {
string s, t;
cin >> s >> t;
int ns = s.size();
int nt = t.size();
vector<int> match(ns - nt + 1);
match[0] = nt;
for (int i = 0; i < ns - nt + 1; i++) {
int mat = nt;
for (int j = 0; j < nt; j++) {
if (t[j] == s[i + j]) {
mat--;
}
}
match[i + 1] = min(match[i], mat);
}
cout << match[ns - nt + 1] << endl;
}
| #include <bits/stdc++.h>
using namespace std;
int main() {
string s, t;
cin >> s >> t;
int ns = s.size();
int nt = t.size();
vector<int> match(ns - nt + 2);
match[0] = nt;
for (int i = 0; i < ns - nt + 1; i++) {
int mat = nt;
for (int j = 0; j < nt; j++) {
if (t[j] == s[i + j]) {
mat--;
}
}
match[i + 1] = min(match[i], mat);
}
cout << match[ns - nt + 1] << endl;
}
| replace | 9 | 10 | 9 | 10 | 0 | |
p02571 | C++ | Time Limit Exceeded | #include <bits/stdc++.h>
#define FAST_IO \
ios::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0)
#define int long long int
#define nl "\n"
using namespace std;
void code() {
string s, t;
cin >> s >> t;
int maxm = INT_MIN;
for (int i = 0; i <= ((int)s.size() - (int)t.size()); i++) {
int count = 0;
for (int j = i; j < (int)t.size(); i++) {
if (s[j] == t[j - i])
count++;
}
maxm = max(maxm, count);
}
cout << (int)t.size() - maxm;
}
signed main()
{
#ifndef ONLINE_JUDGE
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
FAST_IO;
int t = 1;
// cin>>t;
while (t--) {
code();
}
#ifndef ONLINE_JUDGE
cout << "\nTime Elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " sec\n";
#endif
return 0;
}
| #include <bits/stdc++.h>
#define FAST_IO \
ios::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0)
#define int long long int
#define nl "\n"
using namespace std;
void code() {
string s, t;
cin >> s >> t;
int maxm = INT_MIN;
for (int i = 0; i <= ((int)s.size() - (int)t.size()); i++) {
int count = 0;
for (int j = i; j < i + (int)t.size(); j++) {
if (s[j] == t[j - i])
count++;
}
maxm = max(maxm, count);
}
cout << (int)t.size() - maxm;
}
signed main()
{
#ifndef ONLINE_JUDGE
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
FAST_IO;
int t = 1;
// cin>>t;
while (t--) {
code();
}
#ifndef ONLINE_JUDGE
cout << "\nTime Elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " sec\n";
#endif
return 0;
}
| replace | 15 | 16 | 15 | 16 | TLE | |
p02571 | C++ | Runtime Error | #include <iostream>
#include <string>
using namespace std;
int main(void) {
string s, t;
cin >> s >> t;
int cost = -1;
for (int i = 0; i < s.length() - t.length() - 1; i++) {
int cnt = 0;
for (int j = 0; j < t.length(); j++) {
if (s[i + j] != t[j])
cnt++;
}
if (cost > cnt || cost == -1) {
cost = cnt;
}
}
cout << cost << '\n';
return 0;
} | #include <iostream>
#include <string>
using namespace std;
int main(void) {
string s, t;
cin >> s >> t;
int cost = -1;
for (int i = 0; i < s.length() - t.length() + 1; i++) {
int cnt = 0;
for (int j = 0; j < t.length(); j++) {
if (s[i + j] != t[j])
cnt++;
}
if (cost > cnt || cost == -1) {
cost = cnt;
}
}
cout << cost << '\n';
return 0;
} | replace | 9 | 10 | 9 | 10 | 0 | |
p02571 | C++ | Time Limit Exceeded | #include <iostream>
using namespace std;
int main() {
string s, t;
int i = 0;
int z = t.size();
while (s.size() - i >= t.size()) {
int r = 0;
for (int j = 0; j < t.size(); j++)
if (s[i + j] != t[j])
r++;
if (r < z)
z = r;
i++;
}
cout << z << endl;
} | #include <iostream>
using namespace std;
int main() {
string s, t;
cin >> s >> t;
int i = 0;
int z = t.size();
while (s.size() - i >= t.size()) {
int r = 0;
for (int j = 0; j < t.size(); j++)
if (s[i + j] != t[j])
r++;
if (r < z)
z = r;
i++;
}
cout << z << endl;
} | insert | 5 | 5 | 5 | 6 | TLE | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (n); ++i)
using namespace std;
typedef long long ll;
int main() {
string s;
cin >> s;
string t;
cin >> t;
int sl = s.length();
int tl = t.length();
vector<int> v(sl - tl);
for (int i = 0; i < sl - tl; i++) {
for (int j = 0; j < tl; j++) {
if (s[i + j] == t[j])
v[i]++;
}
}
cout << tl - *max_element(v.begin(), v.end());
} | #include <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (n); ++i)
using namespace std;
typedef long long ll;
int main() {
string s;
cin >> s;
string t;
cin >> t;
int sl = s.length();
int tl = t.length();
vector<int> v(sl - tl + 1);
for (int i = 0; i <= sl - tl; i++) {
for (int j = 0; j < tl; j++) {
if (s[i + j] == t[j])
v[i]++;
}
}
cout << tl - *max_element(v.begin(), v.end());
} | replace | 12 | 14 | 12 | 14 | 0 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
using ll = long long int;
int main() {
string S, T;
cin >> S >> T;
int N = S.size();
int M = T.size();
vector<int> V;
int P = 0;
for (int i = 0; i < N - M + 1; i++) {
for (int j = 0; j < M; j++) {
if (S.at(i + j) == T.at(j))
P++;
}
V.push_back(M - P);
P = 0;
}
sort(V.begin(), V.end());
cout << V.at(1) << endl;
} | #include <bits/stdc++.h>
using namespace std;
using ll = long long int;
int main() {
string S, T;
cin >> S >> T;
int N = S.size();
int M = T.size();
vector<int> V;
int P = 0;
for (int i = 0; i < N - M + 1; i++) {
for (int j = 0; j < M; j++) {
if (S.at(i + j) == T.at(j))
P++;
}
V.push_back(M - P);
P = 0;
}
sort(V.begin(), V.end());
cout << V.at(0) << endl;
} | replace | 22 | 23 | 22 | 23 | 0 | |
p02571 | C++ | Runtime Error | #include <iostream>
using namespace std;
int main() {
string a, b;
cin >> a >> b;
int i, d = 0, c = 0, j;
for (i = 0; i <= a.size() - b.size() - 1; i++) {
c = 0;
for (j = i; j <= i + b.size() - 1; j++) {
if (a[j] == b[j - i]) {
c++;
}
}
if (c > d) {
d = c;
}
}
cout << b.size() - d;
return 0;
} | #include <iostream>
using namespace std;
int main() {
string a, b;
cin >> a >> b;
int i, d = 0, c = 0, j;
for (i = 0; i <= a.size() - b.size(); i++) {
c = 0;
for (j = i; j <= i + b.size() - 1; j++) {
if (a[j] == b[j - i]) {
c++;
}
}
if (c > d) {
d = c;
}
}
cout << b.size() - d;
return 0;
} | replace | 6 | 7 | 6 | 7 | 0 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define rep(i, N) for (int i = 0; i < (N); i++)
#define erep(i, N) for (int i = N - 1; i >= 0; i--)
const ll INF = 1000000000;
const ll MOD = 1000000007;
const ld PI = (acos(-1));
using Graph = vector<vector<int>>;
template <class T> inline bool chmin(T &a, T b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template <class T> inline bool chmax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
typedef pair<int, int> P;
typedef pair<ll, ll> PLL;
double rad(double a) { return a * 180 / PI; }
struct UnionFind {
vector<int> par; // par[i]:iの親の番号 (例) par[3] = 2 : 3の親が2
UnionFind(int N) : par(N) { // 最初は全てが根であるとして初期化
for (int i = 0; i < N; i++)
par[i] = i;
}
int root(int x) { // データxが属する木の根を再帰で得る：root(x) = {xの木の根}
if (par[x] == x)
return x;
return par[x] = root(par[x]);
}
void unite(int x, int y) { // xとyの木を併合
int rx = root(x); // xの根をrx
int ry = root(y); // yの根をry
if (rx == ry)
return; // xとyの根が同じ(=同じ木にある)時はそのまま
par[rx] =
ry; // xとyの根が同じでない(=同じ木にない)時：xの根rxをyの根ryにつける
}
bool same(int x, int y) { // 2つのデータx, yが属する木が同じならtrueを返す
int rx = root(x);
int ry = root(y);
return rx == ry;
}
};
long long modinv(long long a, long long m) {
long long b = m, u = 1, v = 0;
while (b) {
long long t = a / b;
a -= t * b;
swap(a, b);
u -= t * v;
swap(u, v);
}
u %= m;
if (u < 0)
u += m;
return u;
}
// dpTable
int dp[100050];
int main() {
string S, T;
cin >> S >> T;
int Ss = S.size(), Ts = T.size();
int ans = 100000;
for (int i = 0; i < Ss - Ts + 1; i++) {
int hoge = 0;
for (int j = i; j < Ts + i; j++) {
if (S.at(j) != T.at(j))
hoge++;
}
ans = min(ans, hoge);
}
cout << ans << endl;
return 0;
}
| #include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define rep(i, N) for (int i = 0; i < (N); i++)
#define erep(i, N) for (int i = N - 1; i >= 0; i--)
const ll INF = 1000000000;
const ll MOD = 1000000007;
const ld PI = (acos(-1));
using Graph = vector<vector<int>>;
template <class T> inline bool chmin(T &a, T b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template <class T> inline bool chmax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
typedef pair<int, int> P;
typedef pair<ll, ll> PLL;
double rad(double a) { return a * 180 / PI; }
struct UnionFind {
vector<int> par; // par[i]:iの親の番号 (例) par[3] = 2 : 3の親が2
UnionFind(int N) : par(N) { // 最初は全てが根であるとして初期化
for (int i = 0; i < N; i++)
par[i] = i;
}
int root(int x) { // データxが属する木の根を再帰で得る：root(x) = {xの木の根}
if (par[x] == x)
return x;
return par[x] = root(par[x]);
}
void unite(int x, int y) { // xとyの木を併合
int rx = root(x); // xの根をrx
int ry = root(y); // yの根をry
if (rx == ry)
return; // xとyの根が同じ(=同じ木にある)時はそのまま
par[rx] =
ry; // xとyの根が同じでない(=同じ木にない)時：xの根rxをyの根ryにつける
}
bool same(int x, int y) { // 2つのデータx, yが属する木が同じならtrueを返す
int rx = root(x);
int ry = root(y);
return rx == ry;
}
};
long long modinv(long long a, long long m) {
long long b = m, u = 1, v = 0;
while (b) {
long long t = a / b;
a -= t * b;
swap(a, b);
u -= t * v;
swap(u, v);
}
u %= m;
if (u < 0)
u += m;
return u;
}
// dpTable
int dp[100050];
int main() {
string S, T;
cin >> S >> T;
int Ss = S.size(), Ts = T.size();
int ans = 100000;
for (int i = 0; i < Ss - Ts + 1; i++) {
int hoge = 0;
for (int j = i; j < Ts + i; j++) {
if (S.at(j) != T.at(j - i))
hoge++;
}
ans = min(ans, hoge);
}
cout << ans << endl;
return 0;
}
| replace | 84 | 85 | 84 | 85 | -6 | terminate called after throwing an instance of 'std::out_of_range'
what(): basic_string::at: __n (which is 3) >= this->size() (which is 3)
|
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
#define int long long
#define rep(i, a, b) for (int i = a; i < b; ++i)
#define rrep(i, z, a) for (int i = z; i >= a; --i)
#define rep0(n) for (int i = 0; i < n; ++i)
#define rep1(n) for (int i = 1; i <= n; ++i)
#define pb push_back
#define sd(x) scanf("%d", &x)
#define tc \
int test; \
cin >> test; \
while (test--)
#define all(v) v.begin(), v.end()
#define ff first
#define ss second
#define mp make_pair
#define IOS \
ios::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0);
#define endl "\n"
#define spc " "
#define mem0(a) memset(a, 0, sizeof(a))
#define extime \
cout << endl << endl << "____" << (float)clock() / CLOCKS_PER_SEC << "s____";
#define maxn 998244353
#define mod 1000000007
// #define ll long long int
// typedef vector<ll> vll;
typedef pair<int, int> pi;
typedef vector<int> vi;
typedef vector<pi> vii;
void OJ() {
#ifndef ONLINE_JUDGE
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
}
int solve() {
string s, t;
cin >> s >> t;
int n = s.size(), m = t.size();
int ans = INT_MAX;
rep(i, 0, n - m + 1) {
int tcnt = 0;
rep(j, 0, m) if (s[i + j] != t[j]) tcnt++;
ans = min(tcnt, ans);
}
cout << ans;
}
signed main() {
OJ();
IOS
// tc
solve();
// extime
return 0;
} | #include <bits/stdc++.h>
using namespace std;
#define int long long
#define rep(i, a, b) for (int i = a; i < b; ++i)
#define rrep(i, z, a) for (int i = z; i >= a; --i)
#define rep0(n) for (int i = 0; i < n; ++i)
#define rep1(n) for (int i = 1; i <= n; ++i)
#define pb push_back
#define sd(x) scanf("%d", &x)
#define tc \
int test; \
cin >> test; \
while (test--)
#define all(v) v.begin(), v.end()
#define ff first
#define ss second
#define mp make_pair
#define IOS \
ios::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0);
#define endl "\n"
#define spc " "
#define mem0(a) memset(a, 0, sizeof(a))
#define extime \
cout << endl << endl << "____" << (float)clock() / CLOCKS_PER_SEC << "s____";
#define maxn 998244353
#define mod 1000000007
// #define ll long long int
// typedef vector<ll> vll;
typedef pair<int, int> pi;
typedef vector<int> vi;
typedef vector<pi> vii;
void OJ() {
#ifndef ONLINE_JUDGE
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
}
int solve() {
string s, t;
cin >> s >> t;
int n = s.size(), m = t.size();
int ans = INT_MAX;
rep(i, 0, n - m + 1) {
int tcnt = 0;
rep(j, 0, m) if (s[i + j] != t[j]) tcnt++;
ans = min(tcnt, ans);
}
cout << ans;
return 0;
}
signed main() {
OJ();
IOS
// tc
solve();
// extime
return 0;
} | insert | 50 | 50 | 50 | 51 | 0 | |
p02571 | C++ | Runtime Error | #pragma GCC optimize("O3")
#pragma GCC target("sse4")
// #include <bits/stdc++.h>
#include <algorithm>
#include <climits>
#include <complex>
#include <cstring>
#include <deque>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <unordered_map>
#include <unordered_set>
#include <vector>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;
typedef pair<ld, ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;
typedef vector<cd> vcd;
typedef vector<string> vs;
typedef vector<vi> vvi;
typedef vector<vl> vvl;
#define FOR(i, a, b) for (int i = a; i < b; i++)
#define F0R(i, a) for (int i = 0; i < (a); i++)
#define FORd(i, a, b) for (int i = b; i > a; i--)
#define F0Rd(i, a) for (int i = a; i > -1; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define pob pop_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
#define ins insert
#define que queue
#define pa pair
#define ex(m, i) m.find(i) != m.end()
#define nex(m, i) m.find(i) == m.end()
#define uniq(x) x.resize(unique(all(x)) - x.begin())
// mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001; // check the limits, dummy
const double epsilon = 1e-12;
const int ds[4][2] = {{-1, 0}, {1, 0}, {0, -1}, {0, 1}};
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
string s1, t1;
cin >> s1 >> t1;
int cmax = 0;
int ci = 0;
do {
int t = 0;
for (int i = ci; i < ci + sz(t1); i++) {
if (s1[i] == t1[i - ci])
t++;
}
cmax = max(cmax, t);
if (ci + sz(t1) == sz(s1) - 1)
break;
ci++;
} while (1);
printf("%d\n", sz(t1) - cmax);
return 0;
}
// read the question correctly (ll vs int)
// template by bqi343 | #pragma GCC optimize("O3")
#pragma GCC target("sse4")
// #include <bits/stdc++.h>
#include <algorithm>
#include <climits>
#include <complex>
#include <cstring>
#include <deque>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <unordered_map>
#include <unordered_set>
#include <vector>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;
typedef pair<ld, ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;
typedef vector<cd> vcd;
typedef vector<string> vs;
typedef vector<vi> vvi;
typedef vector<vl> vvl;
#define FOR(i, a, b) for (int i = a; i < b; i++)
#define F0R(i, a) for (int i = 0; i < (a); i++)
#define FORd(i, a, b) for (int i = b; i > a; i--)
#define F0Rd(i, a) for (int i = a; i > -1; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define pob pop_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
#define ins insert
#define que queue
#define pa pair
#define ex(m, i) m.find(i) != m.end()
#define nex(m, i) m.find(i) == m.end()
#define uniq(x) x.resize(unique(all(x)) - x.begin())
// mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001; // check the limits, dummy
const double epsilon = 1e-12;
const int ds[4][2] = {{-1, 0}, {1, 0}, {0, -1}, {0, 1}};
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
string s1, t1;
cin >> s1 >> t1;
int cmax = 0;
int ci = 0;
do {
int t = 0;
for (int i = ci; i < ci + sz(t1); i++) {
if (s1[i] == t1[i - ci])
t++;
}
cmax = max(cmax, t);
// printf("%d\n",t);
if (ci + sz(t1) >= sz(s1))
break;
ci++;
} while (1);
printf("%d\n", sz(t1) - cmax);
return 0;
}
// read the question correctly (ll vs int)
// template by bqi343 | replace | 90 | 92 | 90 | 92 | 0 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
int main() {
string b, t;
cin >> b >> t;
int ct = 0;
int minct = t.size();
for (int i = 0; i < (int)b.size(); i++) {
if (b.at(i) != t.at(0))
continue;
for (int j = 0; j < (int)t.size(); j++) {
if (b.at(i + j) != t.at(j)) {
ct++;
}
}
minct = min(minct, ct);
ct = 0;
}
cout << minct;
} | #include <bits/stdc++.h>
using namespace std;
int main() {
string b, t;
cin >> b >> t;
int ct = 0;
int minct = t.size();
for (int i = 0; i < (int)b.size(); i++) {
if (i + (int)t.size() > (int)b.size())
break;
for (int j = 0; j < (int)t.size(); j++) {
if (b.at(i + j) != t.at(j)) {
ct++;
}
}
minct = min(minct, ct);
ct = 0;
}
cout << minct;
} | replace | 9 | 11 | 9 | 11 | 0 | |
p02571 | C++ | Runtime Error | // #include <tourist>
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> p;
const int INF = 1e9;
const ll LINF = ll(1e18);
const int MOD = 1000000007;
const int dx[4] = {0, 1, 0, -1}, dy[4] = {-1, 0, 1, 0};
const int Dx[8] = {0, 1, 1, 1, 0, -1, -1, -1},
Dy[8] = {-1, -1, 0, 1, 1, 1, 0, -1};
#define yes cout << "Yes" << endl
#define YES cout << "YES" << endl
#define no cout << "No" << endl
#define NO cout << "NO" << endl
#define rep(i, n) for (int i = 0; i < n; i++)
#define ALL(v) v.begin(), v.end()
#define debug(v) \
cout << #v << ":"; \
for (auto x : v) { \
cout << x << ' '; \
} \
cout << endl;
template <class T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T> bool chmin(T &a, const T &b) {
if (b < a) {
a = b;
return 1;
}
return 0;
}
// cout<<fixed<<setprecision(15);有効数字15桁
//-std=c++14
//-std=gnu++17
ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
int main() {
cin.tie(0);
ios::sync_with_stdio(false);
string t, s;
cin >> s >> t;
int ans = INF;
for (int i = 0; i < s.size() - t.size() - 1; i++) {
int sum = 0;
for (int j = 0; j < t.size(); j++) {
if (s[i + j] != t[j])
sum++;
}
chmin(ans, sum);
}
cout << ans << "\n";
} | // #include <tourist>
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> p;
const int INF = 1e9;
const ll LINF = ll(1e18);
const int MOD = 1000000007;
const int dx[4] = {0, 1, 0, -1}, dy[4] = {-1, 0, 1, 0};
const int Dx[8] = {0, 1, 1, 1, 0, -1, -1, -1},
Dy[8] = {-1, -1, 0, 1, 1, 1, 0, -1};
#define yes cout << "Yes" << endl
#define YES cout << "YES" << endl
#define no cout << "No" << endl
#define NO cout << "NO" << endl
#define rep(i, n) for (int i = 0; i < n; i++)
#define ALL(v) v.begin(), v.end()
#define debug(v) \
cout << #v << ":"; \
for (auto x : v) { \
cout << x << ' '; \
} \
cout << endl;
template <class T> bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T> bool chmin(T &a, const T &b) {
if (b < a) {
a = b;
return 1;
}
return 0;
}
// cout<<fixed<<setprecision(15);有効数字15桁
//-std=c++14
//-std=gnu++17
ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
int main() {
cin.tie(0);
ios::sync_with_stdio(false);
string t, s;
cin >> s >> t;
int ans = INF;
for (int i = 0; i < s.size() - t.size() + 1; i++) {
int sum = 0;
for (int j = 0; j < t.size(); j++) {
if (s[i + j] != t[j])
sum++;
}
chmin(ans, sum);
}
cout << ans << "\n";
} | replace | 48 | 49 | 48 | 49 | 0 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
#define EPS (1e-7)
#define INF (1e9)
#define PI (acos(-1))
#define deg_to_rad(deg) (((deg) / 360) * 2 * M_PI)
#define rad_to_deg(rad) (((rad) / 2 / M_PI) * 360)
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i < (int)(n); i++)
typedef long long ll;
int main() {
int ans = INF;
string S, T;
cin >> S >> T;
for (int i = 0; i < S.size() - T.size() - 1; i++) {
int cnt = 0;
for (int j = 0; j < T.size(); j++) {
if (S[i + j] != T[j]) {
cnt++;
}
}
ans = min(ans, cnt);
}
cout << ans << endl;
return 0;
}
| #include <bits/stdc++.h>
using namespace std;
#define EPS (1e-7)
#define INF (1e9)
#define PI (acos(-1))
#define deg_to_rad(deg) (((deg) / 360) * 2 * M_PI)
#define rad_to_deg(rad) (((rad) / 2 / M_PI) * 360)
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i < (int)(n); i++)
typedef long long ll;
int main() {
int ans = INF;
string S, T;
cin >> S >> T;
for (int i = 0; i < S.size() - T.size() + 1; i++) {
int cnt = 0;
for (int j = 0; j < T.size(); j++) {
if (S[i + j] != T[j]) {
cnt++;
}
}
ans = min(ans, cnt);
}
cout << ans << endl;
return 0;
}
| replace | 18 | 19 | 18 | 19 | 0 | |
p02571 | C++ | Time Limit Exceeded | #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define rep(i, n) for (ll i = 0; i < n; i++)
int main() {
string S, T;
cin >> S >> T;
ll nS = S.size();
ll nT = T.size();
ll sameTS = 0;
rep(i, i <= nS - nT) {
ll j = 0;
while (S[i + j] == T[j] && j < nT)
j++;
if (sameTS < j)
sameTS = j;
}
cout << nT - sameTS;
cin >> S;
return 0;
}
| #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define rep(i, n) for (ll i = 0; i < n; i++)
int main() {
string S, T;
cin >> S >> T;
ll nS = S.size();
ll nT = T.size();
ll sameTS = 0;
for (ll i = 0; i <= nS - nT; i++) {
ll sam = 0;
for (ll j = 0; j < nT; j++) {
if (S[i + j] == T[j])
sam++;
}
if (sameTS < sam)
sameTS = sam;
}
cout << nT - sameTS;
cin >> S;
return 0;
}
| replace | 11 | 17 | 11 | 19 | TLE | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
#include <cmath>
using namespace std;
#define coutv(v) \
for (int i = 0; i < (v).size(); ++i) \
cout << v[i] << ' '; \
cout << endl;
#define coutvv(v) \
for (int i = 0; i < (v).size(); ++i) { \
for (int j = 0; j < (v[i]).size(); ++j) \
cout << v[i][j] << ' '; \
cout << endl; \
}
#define debugv(v) \
{ \
for (int i = 0; i < (v).size(); ++i) \
cerr << v[i] << ' '; \
cerr << endl; \
}
#define debugvv(v) \
{ \
for (int i = 0; i < (v).size(); ++i) { \
for (int j = 0; j < (v[i]).size(); ++j) \
cerr << v[i][j] << ' '; \
cerr << endl; \
} \
}
#define stringtovector(s, v) \
{ \
for (int i = 0; i < (s).size(); ++i) \
v.push_back(s[i]); \
};
#define TC \
int TESTCASE; \
cin >> TESTCASE; \
while (TESTCASE--)
typedef long long ll;
const int mod = 1000000007;
int main() {
string s;
string t;
cin >> s >> t;
vector<int> c;
for (int i = 0; i < s.length() - t.length(); i++) {
c.push_back(0);
for (int j = 0; j < t.length(); j++) {
if (s[i + j] != t[j]) {
c[i] += 1;
}
}
}
sort(c.begin(), c.end());
cout << c[0];
}
| #include <bits/stdc++.h>
#include <cmath>
using namespace std;
#define coutv(v) \
for (int i = 0; i < (v).size(); ++i) \
cout << v[i] << ' '; \
cout << endl;
#define coutvv(v) \
for (int i = 0; i < (v).size(); ++i) { \
for (int j = 0; j < (v[i]).size(); ++j) \
cout << v[i][j] << ' '; \
cout << endl; \
}
#define debugv(v) \
{ \
for (int i = 0; i < (v).size(); ++i) \
cerr << v[i] << ' '; \
cerr << endl; \
}
#define debugvv(v) \
{ \
for (int i = 0; i < (v).size(); ++i) { \
for (int j = 0; j < (v[i]).size(); ++j) \
cerr << v[i][j] << ' '; \
cerr << endl; \
} \
}
#define stringtovector(s, v) \
{ \
for (int i = 0; i < (s).size(); ++i) \
v.push_back(s[i]); \
};
#define TC \
int TESTCASE; \
cin >> TESTCASE; \
while (TESTCASE--)
typedef long long ll;
const int mod = 1000000007;
int main() {
string s;
string t;
cin >> s >> t;
vector<int> c;
for (int i = 0; i < s.length() - t.length() + 1; i++) {
c.push_back(0);
for (int j = 0; j < t.length(); j++) {
if (s[i + j] != t[j]) {
c[i] += 1;
}
}
}
sort(c.begin(), c.end());
cout << c[0];
}
| replace | 45 | 46 | 45 | 46 | 0 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
int main() {
string t, s;
cin >> t >> s;
int ans = t.size();
for (int start = 0; start <= s.size() - t.size(); start++) {
int diff = 0;
for (int i = 0; i < t.size(); i++) {
if (t[i] != s[start + i]) {
diff++;
}
}
ans = min(ans, diff);
}
cout << ans << endl;
return 0;
}
| #include <bits/stdc++.h>
using namespace std;
int main() {
string s, t;
cin >> s >> t;
int ans = t.size();
for (int start = 0; start <= s.size() - t.size(); start++) {
int diff = 0;
for (int i = 0; i < t.size(); i++) {
if (t[i] != s[start + i]) {
diff++;
}
}
ans = min(ans, diff);
}
cout << ans << endl;
return 0;
}
| replace | 4 | 6 | 4 | 6 | -11 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
using ll = long long;
using P = pair<ll, ll>;
#define rep(i, n) for (int i = 0; i < (int)n; i++)
#define PI acos(-1)
#define fast_io \
ios_base::sync_with_stdio(false); \
cin.tie(0); \
cout.tie(0);
ll mod = 1e9 + 7;
int main() {
fast_io
string s,
t;
cin >> s >> t;
int ans = 0;
vector<int> vec;
rep(i, s.size() - t.size()) {
int cnt = 0;
for (int j = 0; j < t.size(); j++) {
if (s[i + j] == t[j])
cnt++;
}
vec.push_back(cnt);
}
sort(vec.begin(), vec.end());
cout << t.size() - vec[vec.size() - 1] << endl;
return 0;
}
| #include <bits/stdc++.h>
using namespace std;
using ll = long long;
using P = pair<ll, ll>;
#define rep(i, n) for (int i = 0; i < (int)n; i++)
#define PI acos(-1)
#define fast_io \
ios_base::sync_with_stdio(false); \
cin.tie(0); \
cout.tie(0);
ll mod = 1e9 + 7;
int main() {
fast_io
string s,
t;
cin >> s >> t;
int ans = 0;
vector<int> vec;
rep(i, s.size() - t.size() + 1) {
int cnt = 0;
for (int j = 0; j < t.size(); j++) {
if (s[i + j] == t[j])
cnt++;
}
vec.push_back(cnt);
}
sort(vec.begin(), vec.end());
cout << t.size() - vec[vec.size() - 1] << endl;
return 0;
}
| replace | 20 | 21 | 20 | 21 | 0 | |
p02571 | Python | Time Limit Exceeded | S = input()
T = input()
min_dist = 10**10
for i in range(len(S) - len(T) + 1):
for k in range(len(T)):
dist = sum(s != t for s, t in zip(S[i : i + len(T)], T))
min_dist = min(dist, min_dist)
if min_dist == 0:
print(0)
exit()
print(min_dist)
| S = input()
T = input()
min_dist = 10**10
for i in range(len(S) - len(T) + 1):
for k in range(len(T)):
dist = 0
for s, t in zip(S[i : i + len(T)], T):
if s != t:
dist += 1
if dist >= min_dist:
break
min_dist = min(dist, min_dist)
if min_dist == 0:
print(0)
exit()
print(min_dist)
| replace | 6 | 7 | 6 | 13 | TLE | |
p02571 | Python | Runtime Error | #!/Library/Frameworks/Python.framework/Versions/3.5/bin/python3
s = input()
t = input()
a = []
for i in range(len(s) - len(t)):
cnt = 0
for j in range(len(t)):
if t[j] == s[i + j]:
cnt += 1
a.append(cnt)
print(len(t) - max(a))
| #!/Library/Frameworks/Python.framework/Versions/3.5/bin/python3
s = input()
t = input()
a = []
for i in range(len(s) - len(t) + 1):
cnt = 0
for j in range(len(t)):
if t[j] == s[i + j]:
cnt += 1
a.append(cnt)
print(len(t) - max(a))
| replace | 6 | 7 | 6 | 7 | 0 | |
p02571 | Python | Runtime Error | s = input().strip()
t = input().strip()
if t in s:
print(0)
else:
ans = 1000
for i in range(len(s) - len(t) - 1):
count = len(t) - 1
for j in range(len(t) - 1):
if s[i + j] == t[i]:
count -= 1
ans = min(count, ans)
print(ans)
| s = input().strip()
t = input().strip()
if t in s:
print(0)
else:
ans = 10001
for i in range(len(s) - len(t) + 1):
count = 0
cnt = i
for j in range(len(t)):
if s[cnt] != t[j]:
count += 1
cnt += 1
ans = min(count, ans)
print(ans)
| replace | 6 | 12 | 6 | 14 | 0 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
using ll = long long;
using P = pair<int, int>;
int main() {
string s, t;
cin >> s >> t;
int i = 0;
vector<int> zure(s.size() - t.size(), 0);
do {
rep(j, t.size()) {
if (s[i + j] != t[j]) {
zure[i]++;
}
}
i++;
} while (i < s.size() - t.size());
sort(zure.begin(), zure.end());
cout << zure[0] << endl;
}
| #include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
using ll = long long;
using P = pair<int, int>;
int main() {
string s, t;
cin >> s >> t;
int i = 0, sz;
if (s.size() == t.size()) {
sz = 1;
} else {
sz = s.size() - t.size();
}
vector<int> zure(sz, 0);
do {
rep(j, t.size()) {
if (s[i + j] != t[j]) {
zure[i]++;
}
}
i++;
} while (i < s.size() - t.size());
sort(zure.begin(), zure.end());
cout << zure[0] << endl;
}
| replace | 8 | 10 | 8 | 15 | 0 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
#define fast_IO \
ios_base::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0);
#define endl '\n'
#define pb push_back
#define F first
#define S second
#define int long long int
#define ll long long
#define ld long double
bool isPrime(ll n) {
if (n < 2)
return false;
for (ll i = 2; i * i <= n; ++i) {
if (n % i == 0) {
return false;
}
}
return true;
}
ll lcm(ll x, ll y) { return (x * y) / (__gcd(x, y)); }
signed main() {
fast_IO;
int t = 1;
// cin>>t;
while (t--) {
string s, t;
cin >> s >> t;
int ans = s.size();
for (int i = 0; i < s.length() - t.length() - 1; i++) {
int p = 0, cnt = 0;
for (int j = i; j < i + t.length(); j++) {
if (s[j] != t[p++])
cnt++;
}
ans = min(ans, cnt);
}
cout << ans;
}
return 0;
} | #include <bits/stdc++.h>
using namespace std;
#define fast_IO \
ios_base::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0);
#define endl '\n'
#define pb push_back
#define F first
#define S second
#define int long long int
#define ll long long
#define ld long double
bool isPrime(ll n) {
if (n < 2)
return false;
for (ll i = 2; i * i <= n; ++i) {
if (n % i == 0) {
return false;
}
}
return true;
}
ll lcm(ll x, ll y) { return (x * y) / (__gcd(x, y)); }
signed main() {
fast_IO;
int t = 1;
// cin>>t;
while (t--) {
string s, t;
cin >> s >> t;
int ans = t.size();
for (int i = 0; i + t.length() - 1 < s.length(); i++) {
int p = 0, cnt = 0;
for (int j = i; j < i + t.length(); j++) {
if (s[j] != t[p++])
cnt++;
}
ans = min(ans, cnt);
}
cout << ans;
}
return 0;
} | replace | 35 | 37 | 35 | 37 | 0 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
int main() {
string S, T;
cin >> S >> T;
int ans = T.size();
for (int i = 0; i < S.size() - T.size() + 1; i++) {
int count = 0;
for (int j = 0; j < T.size(); j++) {
if (T.at(i) != S.at(i + j))
count++;
}
ans = min(ans, count);
}
cout << ans << endl;
} | #include <bits/stdc++.h>
using namespace std;
int main() {
string S, T;
cin >> S >> T;
int ans = T.size();
for (int i = 0; i < S.size() - T.size() + 1; i++) {
int count = 0;
for (int j = 0; j < T.size(); j++) {
if (T.at(j) != S.at(i + j))
count++;
}
ans = min(ans, count);
}
cout << ans << endl;
} | replace | 12 | 13 | 12 | 13 | -6 | terminate called after throwing an instance of 'std::out_of_range'
what(): basic_string::at: __n (which is 3) >= this->size() (which is 3)
|
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int maxn = 100000 + 5;
// ------------------------------------
vector<int> v;
// ------------------------------------
// 1 is tru
int main() {
string s, t, subs;
int a = 0;
cin >> s >> t;
for (int i = 0; i < s.length(); i++) {
for (int j = 0; j < t.length(); j++) {
if (s[i] == t[j]) {
if (i - j >= 0 && i - j + t.length() <= s.length()) {
subs = s.substr(i - j, t.length());
for (int k = 0; k < t.length(); k++) {
if (subs[k] != t[k]) {
a++;
}
}
v.push_back(a);
a = 0;
}
}
}
}
cout << *min_element(v.begin(), v.end()) << endl;
}
| #include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int maxn = 100000 + 5;
// ------------------------------------
vector<int> v;
// ------------------------------------
// 1 is tru
int main() {
string s, t, subs;
int a = 0;
cin >> s >> t;
v.push_back(t.length());
for (int i = 0; i < s.length(); i++) {
for (int j = 0; j < t.length(); j++) {
if (s[i] == t[j]) {
if (i - j >= 0 && i - j + t.length() <= s.length()) {
subs = s.substr(i - j, t.length());
for (int k = 0; k < t.length(); k++) {
if (subs[k] != t[k]) {
a++;
}
}
v.push_back(a);
a = 0;
}
}
}
}
cout << *min_element(v.begin(), v.end()) << endl;
}
| insert | 13 | 13 | 13 | 14 | 0 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
void __print(int x) { cerr << x; }
void __print(long x) { cerr << x; }
void __print(long long x) { cerr << x; }
void __print(unsigned x) { cerr << x; }
void __print(unsigned long x) { cerr << x; }
void __print(unsigned long long x) { cerr << x; }
void __print(float x) { cerr << x; }
void __print(double x) { cerr << x; }
void __print(long double x) { cerr << x; }
void __print(char x) { cerr << '\'' << x << '\''; }
void __print(const char *x) { cerr << '\"' << x << '\"'; }
void __print(const string &x) { cerr << '\"' << x << '\"'; }
void __print(bool x) { cerr << (x ? "true" : "false"); }
template <typename T, typename V> void __print(const pair<T, V> &x) {
cerr << '{';
__print(x.first);
cerr << ',';
__print(x.second);
cerr << '}';
}
template <typename T> void __print(const T &x) {
int f = 0;
cerr << '{';
for (auto &i : x)
cerr << (f++ ? "," : ""), __print(i);
cerr << "}";
}
void _print() { cerr << "]\n"; }
template <typename T, typename... V> void _print(T t, V... v) {
__print(t);
if (sizeof...(v))
cerr << ", ";
_print(v...);
}
#ifndef ONLINE_JUDGE
#define debug(x...) \
cerr << "[" << #x << "] = ["; \
_print(x)
#else
#define debug(x...)
#endif
const long long INF = 1e18;
int md = 1e9 + 7;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
string s, t;
cin >> s >> t;
assert(t.length() < s.length());
int ans = INT_MAX;
for (int i = 0; i <= s.length() - t.length(); i++) {
int j = 0;
int cnt = 0;
for (int it = i; j < t.length(); it++, j++) {
if (s[it] != t[j]) {
cnt++;
}
}
// debug(i,cnt);
ans = min(ans, cnt);
}
cout << ans;
}
// https://www.youtube.com/watch?v=ZQqccia8bVo | #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
void __print(int x) { cerr << x; }
void __print(long x) { cerr << x; }
void __print(long long x) { cerr << x; }
void __print(unsigned x) { cerr << x; }
void __print(unsigned long x) { cerr << x; }
void __print(unsigned long long x) { cerr << x; }
void __print(float x) { cerr << x; }
void __print(double x) { cerr << x; }
void __print(long double x) { cerr << x; }
void __print(char x) { cerr << '\'' << x << '\''; }
void __print(const char *x) { cerr << '\"' << x << '\"'; }
void __print(const string &x) { cerr << '\"' << x << '\"'; }
void __print(bool x) { cerr << (x ? "true" : "false"); }
template <typename T, typename V> void __print(const pair<T, V> &x) {
cerr << '{';
__print(x.first);
cerr << ',';
__print(x.second);
cerr << '}';
}
template <typename T> void __print(const T &x) {
int f = 0;
cerr << '{';
for (auto &i : x)
cerr << (f++ ? "," : ""), __print(i);
cerr << "}";
}
void _print() { cerr << "]\n"; }
template <typename T, typename... V> void _print(T t, V... v) {
__print(t);
if (sizeof...(v))
cerr << ", ";
_print(v...);
}
#ifndef ONLINE_JUDGE
#define debug(x...) \
cerr << "[" << #x << "] = ["; \
_print(x)
#else
#define debug(x...)
#endif
const long long INF = 1e18;
int md = 1e9 + 7;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
string s, t;
cin >> s >> t;
int ans = INT_MAX;
for (int i = 0; i <= s.length() - t.length(); i++) {
int j = 0;
int cnt = 0;
for (int it = i; j < t.length(); it++, j++) {
if (s[it] != t[j]) {
cnt++;
}
}
// debug(i,cnt);
ans = min(ans, cnt);
}
cout << ans;
}
// https://www.youtube.com/watch?v=ZQqccia8bVo | delete | 54 | 55 | 54 | 54 | 0 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
typedef uint64_t u64;
typedef int64_t i64;
typedef uint32_t u32;
typedef int32_t i32;
#define MAX_NUM (1000000007)
#define PI 3.14159265358979323846
using namespace std;
template <typename T> static inline void ArrayInput(vector<T> &A) {
for (auto itr = A.begin(); itr < A.end(); ++itr)
cin >> *itr;
}
template <typename T> static inline void ArrayPut(const vector<T> &A) {
for (auto itr = A.begin(); itr < A.end(); ++itr)
cout << *itr << " ";
cout << endl;
}
template <typename T> static inline T ArraySum(vector<T> &A) {
T res = 0;
for (auto itr = A.begin(); itr < A.end(); ++itr)
res += *itr;
return res;
}
bool Sec_compare(pair<uint64_t, uint64_t> a, pair<uint64_t, uint64_t> b) {
if (a.second != b.second) {
return a.second < b.second;
} else {
return a.first > b.first;
}
}
u64 dec_dig(u64 num) {
u64 res = 0;
while (num > 0) {
num /= 10;
++res;
}
return res;
}
i64 modinv(i64 a, i64 m) {
i64 b = m, u = 1, v = 0;
while (b) {
i64 t = a / b;
a -= t * b;
swap(a, b);
u -= t * v;
swap(u, v);
}
u %= m;
if (u < 0)
u += m;
return u;
}
u64 gcd(u64 a, u64 b) {
if (a < b) {
a ^= b;
b ^= a;
a ^= b;
}
return b ? gcd(b, a % b) : a;
}
i64 My_Comb(u64 n, u64 k, i64 m) {
if (n < k)
return 0;
if (k == 0 || n == k)
return 1;
u64 res = 1;
k = (n / 2 < k) ? n - k : k;
for (u64 i = 1; i <= k; ++i)
res = (((res * (n + 1 - i)) % m) * modinv(i, m)) % m;
return res;
}
i64 My_Pow(u64 a, u64 n, i64 m) {
u64 tmp = n, calc = 1;
while (tmp > 0) {
if (tmp % 2) {
tmp--;
calc *= a;
calc %= m;
} else {
a *= a;
a %= m;
tmp /= 2;
}
}
return calc;
}
class UnionFind {
public:
vector<u64> Par;
vector<u64> sz;
UnionFind(u64 n);
u64 root(u64 x);
bool same(u64 x, u64 y);
void unite(u64 x, u64 y);
u64 size(u64 x);
};
UnionFind::UnionFind(u64 n) {
Par.resize(n);
sz.assign(n, 1);
for (u64 i = 0; i < n; ++i)
Par[i] = i;
}
u64 UnionFind::root(u64 x) {
if (Par[x] == x) {
return x;
} else {
return Par[x] = root(Par[x]);
}
}
bool UnionFind::same(u64 x, u64 y) { return root(x) == root(y); }
u64 UnionFind::size(u64 x) { return sz[root(x)]; }
void UnionFind::unite(u64 x, u64 y) {
x = root(x);
y = root(y);
if (x == y)
return;
if (sz[x] < sz[y])
swap(x, y);
sz[x] += sz[y];
Par[y] = x;
}
template <typename T> i64 BinSearch(vector<T> &V, i64 comp) {
i64 l = 0, r = V.size() - 1;
if (V[l] > V[r])
swap(l, r);
if (V[l] >= comp)
return l;
if (V[r] <= comp)
return r;
while (abs(r - l) > 1) {
i64 index = (l + r) / 2;
if (V[index] == comp)
return index;
else if (V[index] > comp)
r = index;
else
l = index;
}
if (abs(V[l] - comp) < abs(V[r] - comp))
return l;
else
return r;
}
bool isPrime(u32 n) {
if (n == 2)
return true;
if (n % 2)
return false;
for (u32 i = 3; i * i <= n; i += 2) {
if (n % i == 0)
return false;
}
return true;
}
i64 calc(vector<i64> &A, u32 K) {
i64 res = 1;
for (u32 i = 0; i < K; ++i) {
res *= A[i];
res %= MAX_NUM;
if (res < 0)
res += MAX_NUM;
}
return res;
}
int main() {
cout << setprecision(18);
string S, T;
cin >> S >> T;
vector<u32> res;
for (u32 i = 0; i < S.size() - T.size(); ++i) {
u32 tmp = 0;
for (u32 j = 0; j < T.size(); ++j) {
if (S[i + j] != T[j]) {
tmp++;
}
}
res.push_back(tmp);
}
cout << *min_element(res.begin(), res.end()) << endl;
return 0;
}
| #include <bits/stdc++.h>
typedef uint64_t u64;
typedef int64_t i64;
typedef uint32_t u32;
typedef int32_t i32;
#define MAX_NUM (1000000007)
#define PI 3.14159265358979323846
using namespace std;
template <typename T> static inline void ArrayInput(vector<T> &A) {
for (auto itr = A.begin(); itr < A.end(); ++itr)
cin >> *itr;
}
template <typename T> static inline void ArrayPut(const vector<T> &A) {
for (auto itr = A.begin(); itr < A.end(); ++itr)
cout << *itr << " ";
cout << endl;
}
template <typename T> static inline T ArraySum(vector<T> &A) {
T res = 0;
for (auto itr = A.begin(); itr < A.end(); ++itr)
res += *itr;
return res;
}
bool Sec_compare(pair<uint64_t, uint64_t> a, pair<uint64_t, uint64_t> b) {
if (a.second != b.second) {
return a.second < b.second;
} else {
return a.first > b.first;
}
}
u64 dec_dig(u64 num) {
u64 res = 0;
while (num > 0) {
num /= 10;
++res;
}
return res;
}
i64 modinv(i64 a, i64 m) {
i64 b = m, u = 1, v = 0;
while (b) {
i64 t = a / b;
a -= t * b;
swap(a, b);
u -= t * v;
swap(u, v);
}
u %= m;
if (u < 0)
u += m;
return u;
}
u64 gcd(u64 a, u64 b) {
if (a < b) {
a ^= b;
b ^= a;
a ^= b;
}
return b ? gcd(b, a % b) : a;
}
i64 My_Comb(u64 n, u64 k, i64 m) {
if (n < k)
return 0;
if (k == 0 || n == k)
return 1;
u64 res = 1;
k = (n / 2 < k) ? n - k : k;
for (u64 i = 1; i <= k; ++i)
res = (((res * (n + 1 - i)) % m) * modinv(i, m)) % m;
return res;
}
i64 My_Pow(u64 a, u64 n, i64 m) {
u64 tmp = n, calc = 1;
while (tmp > 0) {
if (tmp % 2) {
tmp--;
calc *= a;
calc %= m;
} else {
a *= a;
a %= m;
tmp /= 2;
}
}
return calc;
}
class UnionFind {
public:
vector<u64> Par;
vector<u64> sz;
UnionFind(u64 n);
u64 root(u64 x);
bool same(u64 x, u64 y);
void unite(u64 x, u64 y);
u64 size(u64 x);
};
UnionFind::UnionFind(u64 n) {
Par.resize(n);
sz.assign(n, 1);
for (u64 i = 0; i < n; ++i)
Par[i] = i;
}
u64 UnionFind::root(u64 x) {
if (Par[x] == x) {
return x;
} else {
return Par[x] = root(Par[x]);
}
}
bool UnionFind::same(u64 x, u64 y) { return root(x) == root(y); }
u64 UnionFind::size(u64 x) { return sz[root(x)]; }
void UnionFind::unite(u64 x, u64 y) {
x = root(x);
y = root(y);
if (x == y)
return;
if (sz[x] < sz[y])
swap(x, y);
sz[x] += sz[y];
Par[y] = x;
}
template <typename T> i64 BinSearch(vector<T> &V, i64 comp) {
i64 l = 0, r = V.size() - 1;
if (V[l] > V[r])
swap(l, r);
if (V[l] >= comp)
return l;
if (V[r] <= comp)
return r;
while (abs(r - l) > 1) {
i64 index = (l + r) / 2;
if (V[index] == comp)
return index;
else if (V[index] > comp)
r = index;
else
l = index;
}
if (abs(V[l] - comp) < abs(V[r] - comp))
return l;
else
return r;
}
bool isPrime(u32 n) {
if (n == 2)
return true;
if (n % 2)
return false;
for (u32 i = 3; i * i <= n; i += 2) {
if (n % i == 0)
return false;
}
return true;
}
i64 calc(vector<i64> &A, u32 K) {
i64 res = 1;
for (u32 i = 0; i < K; ++i) {
res *= A[i];
res %= MAX_NUM;
if (res < 0)
res += MAX_NUM;
}
return res;
}
int main() {
cout << setprecision(18);
string S, T;
cin >> S >> T;
vector<u32> res;
for (u32 i = 0; i <= S.size() - T.size(); ++i) {
u32 tmp = 0;
for (u32 j = 0; j < T.size(); ++j) {
if (S[i + j] != T[j]) {
tmp++;
}
}
res.push_back(tmp);
}
cout << *min_element(res.begin(), res.end()) << endl;
return 0;
}
| replace | 193 | 194 | 193 | 194 | 0 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
int main() {
int kekka, kari;
kekka = 0;
kari = 0;
string iti, ni;
cin >> iti >> ni;
for (int i = 0; i < iti.size() - ni.size(); i++) {
for (int s = 0; s <= ni.size(); s++) {
if (iti.at(i + s) == ni.at(s)) {
kari++;
}
}
if (kekka < kari) {
kekka = kari;
}
kari = 0;
}
cout << ni.size() - kekka << endl;
} | #include <bits/stdc++.h>
using namespace std;
int main() {
int kekka, kari;
kekka = 0;
kari = 0;
string iti, ni;
cin >> iti >> ni;
for (int i = 0; i <= iti.size() - ni.size(); i++) {
for (int s = 0; s < ni.size(); s++) {
if (iti.at(i + s) == ni.at(s)) {
kari++;
}
}
if (kekka < kari) {
kekka = kari;
}
kari = 0;
}
cout << ni.size() - kekka << endl;
} | replace | 9 | 11 | 9 | 11 | -6 | terminate called after throwing an instance of 'std::out_of_range'
what(): basic_string::at: __n (which is 3) >= this->size() (which is 3)
|
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
const long long MOD = 1000000007;
const long long INF = 9999999999999999;
using ll = long long;
int main() {
string s, t;
cin >> s >> t;
int ans = MOD;
int temp = 0;
for (int i = 0; i < (s.size() - t.size() - 1); i++) {
temp = 0;
for (int k = 0; k < t.size(); k++) {
if (s.at(i + k) != t.at(k)) {
temp++;
}
}
ans = min(ans, temp);
}
cout << ans << endl;
return 0;
} | #include <bits/stdc++.h>
using namespace std;
const long long MOD = 1000000007;
const long long INF = 9999999999999999;
using ll = long long;
int main() {
string s, t;
cin >> s >> t;
int ans = MOD;
int temp = 0;
if (s.size() == t.size()) {
for (int i = 0; i < s.size(); i++) {
if (s.at(i) != t.at(i)) {
temp++;
}
}
ans = temp;
}
for (int i = 0; i < (s.size() - t.size()); i++) {
temp = 0;
for (int k = 0; k < t.size(); k++) {
if (s.at(i + k) != t.at(k)) {
temp++;
}
}
ans = min(ans, temp);
}
cout << ans << endl;
return 0;
} | replace | 10 | 11 | 10 | 19 | 0 | |
p02571 | C++ | Runtime Error | #include <iostream>
#include <string>
using namespace std;
int main() {
string S, T;
cin >> S;
cin >> T;
const char *cS = S.c_str();
const char *cT = T.c_str();
int max_count = 0;
for (size_t i = 0; i < (S.size() - T.size() - 1); ++i) {
int count = 0;
for (size_t j = 0; j < T.size(); ++j) {
if (cS[i + j] == cT[j]) {
++count;
}
}
if (max_count < count) {
max_count = count;
}
}
cout << (static_cast<int>(T.size()) - max_count) << endl;
return 0;
}
| #include <iostream>
#include <string>
using namespace std;
int main() {
string S, T;
cin >> S;
cin >> T;
const char *cS = S.c_str();
const char *cT = T.c_str();
int max_count = 0;
for (size_t i = 0; i < (S.size() - T.size() + 1); ++i) {
int count = 0;
for (size_t j = 0; j < T.size(); ++j) {
if (cS[i + j] == cT[j]) {
++count;
}
}
if (max_count < count) {
max_count = count;
}
}
cout << (static_cast<int>(T.size()) - max_count) << endl;
return 0;
}
| replace | 14 | 15 | 14 | 15 | 0 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
#define make_it_fast \
ios_base::sync_with_stdio(false); \
cin.tie(NULL); \
cout.tie(NULL)
#define mp make_pair
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define ll long long
#define ld long double
#define endl "\n"
#define ff first
#define ss second
#define imn INT_MIN
#define imx INT_MAX
void __print(int x) { cerr << x; }
void __print(long x) { cerr << x; }
void __print(long long x) { cerr << x; }
void __print(unsigned x) { cerr << x; }
void __print(unsigned long x) { cerr << x; }
void __print(unsigned long long x) { cerr << x; }
void __print(float x) { cerr << x; }
void __print(double x) { cerr << x; }
void __print(long double x) { cerr << x; }
void __print(char x) { cerr << '\'' << x << '\''; }
void __print(const char *x) { cerr << '\"' << x << '\"'; }
void __print(const string &x) { cerr << '\"' << x << '\"'; }
void __print(bool x) { cerr << (x ? "true" : "false"); }
template <typename T, typename V> void __print(const pair<T, V> &x) {
cerr << '{';
__print(x.first);
cerr << ',';
__print(x.second);
cerr << '}';
}
template <typename T> void __print(const T &x) {
int f = 0;
cerr << '{';
for (auto &i : x)
cerr << (f++ ? "," : ""), __print(i);
cerr << "}";
}
void _print() { cerr << "]\n"; }
template <typename T, typename... V> void _print(T t, V... v) {
__print(t);
if (sizeof...(v))
cerr << ", ";
_print(v...);
}
#ifndef ONLINE_JUDGE
#define debug(x...) \
cerr << "[" << #x << "] = ["; \
_print(x)
#else
#define debug(x...) 20
#endif
ll power(ll a, ll b, ll m = 1e9 + 7) {
a %= m;
if (b == 1)
return a;
if (b == 0)
return 1;
ll ret = power(a, b / 2);
ret = (ret % m * ret % m) % m;
if (b & 1)
ret = (ret % m * a % m) % m;
return ret;
}
ll lcm(ll a, ll b) { return (a * b) / (__gcd(a, b)); }
void solve() {
string s, t;
cin >> s >> t;
ll i, j;
ll ans = imx;
for (i = 0; i < s.size() - t.size() - 1; i++) {
ll k = 0;
for (j = 0; j < t.size(); j++) {
if (t[j] != s[j + i])
k++;
}
ans = min(ans, k);
}
cout << ans << endl;
}
int main() {
int TEST_CASES = 1;
// cin>>TEST_CASES;
while (TEST_CASES--) {
solve();
}
return 0;
}
| #include <bits/stdc++.h>
using namespace std;
#define make_it_fast \
ios_base::sync_with_stdio(false); \
cin.tie(NULL); \
cout.tie(NULL)
#define mp make_pair
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define ll long long
#define ld long double
#define endl "\n"
#define ff first
#define ss second
#define imn INT_MIN
#define imx INT_MAX
void __print(int x) { cerr << x; }
void __print(long x) { cerr << x; }
void __print(long long x) { cerr << x; }
void __print(unsigned x) { cerr << x; }
void __print(unsigned long x) { cerr << x; }
void __print(unsigned long long x) { cerr << x; }
void __print(float x) { cerr << x; }
void __print(double x) { cerr << x; }
void __print(long double x) { cerr << x; }
void __print(char x) { cerr << '\'' << x << '\''; }
void __print(const char *x) { cerr << '\"' << x << '\"'; }
void __print(const string &x) { cerr << '\"' << x << '\"'; }
void __print(bool x) { cerr << (x ? "true" : "false"); }
template <typename T, typename V> void __print(const pair<T, V> &x) {
cerr << '{';
__print(x.first);
cerr << ',';
__print(x.second);
cerr << '}';
}
template <typename T> void __print(const T &x) {
int f = 0;
cerr << '{';
for (auto &i : x)
cerr << (f++ ? "," : ""), __print(i);
cerr << "}";
}
void _print() { cerr << "]\n"; }
template <typename T, typename... V> void _print(T t, V... v) {
__print(t);
if (sizeof...(v))
cerr << ", ";
_print(v...);
}
#ifndef ONLINE_JUDGE
#define debug(x...) \
cerr << "[" << #x << "] = ["; \
_print(x)
#else
#define debug(x...) 20
#endif
ll power(ll a, ll b, ll m = 1e9 + 7) {
a %= m;
if (b == 1)
return a;
if (b == 0)
return 1;
ll ret = power(a, b / 2);
ret = (ret % m * ret % m) % m;
if (b & 1)
ret = (ret % m * a % m) % m;
return ret;
}
ll lcm(ll a, ll b) { return (a * b) / (__gcd(a, b)); }
void solve() {
string s, t;
cin >> s >> t;
ll i, j;
ll ans = imx;
for (i = 0; i < s.size() - t.size() + 1; i++) {
ll k = 0;
for (j = 0; j < t.size(); j++) {
if (t[j] != s[j + i])
k++;
}
ans = min(ans, k);
}
cout << ans << endl;
}
int main() {
int TEST_CASES = 1;
// cin>>TEST_CASES;
while (TEST_CASES--) {
solve();
}
return 0;
}
| replace | 86 | 87 | 86 | 87 | 0 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
#define LL long long
#define MOD 1000000007
#define rep(i, n) for (int i = 0; i < (n); i++)
using namespace std;
LL gcd(LL C, LL D) {
if (C < D)
gcd(D, C);
if (C % D == 0)
return D;
else
gcd(D, C % D);
}
int main() {
string s, t;
int ans = 0;
cin >> s >> t;
for (int i = 0; i < s.length() - t.length() + 1; i++) {
int cnt = 0;
rep(j, t.length()) {
if (s[i + j] == t[j]) {
cnt++;
}
}
ans = max(ans, cnt);
}
return t.length() - ans;
}
| #include <bits/stdc++.h>
#define LL long long
#define MOD 1000000007
#define rep(i, n) for (int i = 0; i < (n); i++)
using namespace std;
LL gcd(LL C, LL D) {
if (C < D)
gcd(D, C);
if (C % D == 0)
return D;
else
gcd(D, C % D);
}
int main() {
string s, t;
int ans = 0;
cin >> s >> t;
for (int i = 0; i < s.length() - t.length() + 1; i++) {
int cnt = 0;
rep(j, t.length()) {
if (s[i + j] == t[j]) {
cnt++;
}
}
ans = max(ans, cnt);
}
cout << t.length() - ans << endl;
return 0;
}
| replace | 33 | 34 | 33 | 35 | 1 | |
p02571 | C++ | Time Limit Exceeded | #include <bits/stdc++.h>
using namespace std;
int main() {
string s, t;
cin >> s >> t;
int e = s.size();
int b = t.size();
int c = 0;
int m = 0;
for (int i = 0; i <= e - b; i++) {
for (int j = 0; j < b; i++) {
if (t[j] == s[j + i]) {
c++;
}
}
m = max(m, c);
c = 0;
}
cout << b - m;
} | #include <bits/stdc++.h>
using namespace std;
int main() {
string s, t;
cin >> s >> t;
int e = s.size();
int b = t.size();
int c = 0;
int m = 0;
for (int i = 0; i <= e - b; i++) {
for (int j = 0; j < b; j++) {
if (t[j] == s[j + i]) {
c++;
}
}
m = max(m, c);
c = 0;
}
cout << b - m;
} | replace | 10 | 11 | 10 | 11 | TLE | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
int main() {
string s, t;
cin >> s >> t;
int minx = 1001;
for (int i = 0; i < s.size() - t.size() - 1; i++) {
int x = 0;
for (int j = 0; j < t.size(); j++) {
if (t.at(j) != s.at(i + j)) {
x += 1;
}
}
minx = min(minx, x);
}
cout << minx << endl;
}
| #include <bits/stdc++.h>
using namespace std;
int main() {
string s, t;
cin >> s >> t;
int minx = 10000;
for (int i = 0; i < s.size() - t.size() + 1; i++) {
int x = 0;
for (int j = 0; j < t.size(); j++) {
if (t.at(j) != s.at(i + j)) {
x += 1;
}
}
minx = min(minx, x);
}
cout << minx << endl;
}
| replace | 5 | 7 | 5 | 7 | 0 | |
p02571 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
#define ll long long
#define sort(v) sort(v.begin(), v.end())
#define pb push_back
/*
ll ar[1000000+9]={0};
void seiv() {
ll n=1000000,i,j;
ar[1]=1;
for(i=4;i<=n;i+=2)ar[i]=1;
for(i=3;i<=n;i+=2)
{ if(ar[i]==0)
{ for(j=i*i;j<=n;j+=i*2)ar[j]=1; }
}
}*/
int main() {
string s, t;
ll a, b, c, d, i, j, k, l;
cin >> s >> t;
l = 11000000000;
d = 0;
for (i = 0; i < s.size() - t.size() - 1; i++) {
d = 0;
for (j = 0, k = i; j < t.size(); j++, k++) {
if (s[k] != t[j])
d++;
}
// cout<<k<<endl;
l = min(l, d);
}
cout << l << endl;
} | #include <bits/stdc++.h>
using namespace std;
#define ll long long
#define sort(v) sort(v.begin(), v.end())
#define pb push_back
/*
ll ar[1000000+9]={0};
void seiv() {
ll n=1000000,i,j;
ar[1]=1;
for(i=4;i<=n;i+=2)ar[i]=1;
for(i=3;i<=n;i+=2)
{ if(ar[i]==0)
{ for(j=i*i;j<=n;j+=i*2)ar[j]=1; }
}
}*/
int main() {
string s, t;
ll a, b, c, d, i, j, k, l;
cin >> s >> t;
l = 11000000000;
d = 0;
for (i = 0; i <= s.size() - t.size(); i++) {
d = 0;
for (j = 0, k = i; j < t.size(); j++, k++) {
if (s[k] != t[j])
d++;
}
// cout<<k<<endl;
l = min(l, d);
}
cout << l << endl;
} | replace | 22 | 23 | 22 | 23 | 0 | |
p02571 | C++ | Runtime Error | #define _USE_MATH_DEFINES // M_PI等のフラグ
#include <algorithm>
#include <bitset>
#include <cmath>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <list>
#include <map>
#include <string>
#include <vector>
#define MOD 1000000007
#define COUNTOF(array) (sizeof(array) / sizeof(array[0]))
using namespace std;
void solve() {
string S, T;
cin >> S >> T;
int ans = T.size();
for (int i = 0; i < S.size() - T.size() - 1; i++) {
int ret = 0;
for (int j = 0; j < T.size(); j++) {
if (S.at(i + j) != T.at(j))
ret++;
}
ans = min(ans, ret);
}
cout << ans << endl;
}
int main(int argc, char const *argv[]) {
solve();
return 0;
} | #define _USE_MATH_DEFINES // M_PI等のフラグ
#include <algorithm>
#include <bitset>
#include <cmath>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <list>
#include <map>
#include <string>
#include <vector>
#define MOD 1000000007
#define COUNTOF(array) (sizeof(array) / sizeof(array[0]))
using namespace std;
void solve() {
string S, T;
cin >> S >> T;
int ans = T.size();
for (int i = 0; i <= S.size() - T.size(); i++) {
int ret = 0;
for (int j = 0; j < T.size(); j++) {
if (S.at(i + j) != T.at(j))
ret++;
}
ans = min(ans, ret);
}
cout << ans << endl;
}
int main(int argc, char const *argv[]) {
solve();
return 0;
} | replace | 23 | 24 | 23 | 24 | 0 | |
p02572 | C++ | Time Limit Exceeded | #include <bits/stdc++.h>
using namespace std;
#define gc getchar_unlocked
#define fo(i, n) for (int i = 0; i < n; i++)
#define ll long long
#define deb(x) cout << #x << "=" << x << endl
#define deb2(x, y) cout << #x << "=" << x << "," << #y << "=" << y << endl
#define all(x) x.begin(), x.end()
#define clr(x) memset(x, 0, sizeof(x))
#define sortall(x) sort(all(x))
#define PI 3.1415926535897932384626
typedef map<ll, ll> mp;
typedef pair<int, int> pii;
typedef vector<ll> vi;
typedef vector<pii> vpii;
typedef vector<vi> vvi;
int main() {
#ifndef ONLINE_JUDGE
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int m = 1000000007;
int n;
cin >> n;
vi a(n);
fo(i, n) cin >> a[i];
int sum = 0;
for (int i = 0; i < n - 1; i++) {
for (int j = i + 1; j < n; j++) {
sum = ((sum) % m + (a[i] * a[j]) % m) % m;
}
}
cout << sum << endl;
return 0;
} | #include <bits/stdc++.h>
using namespace std;
#define gc getchar_unlocked
#define fo(i, n) for (int i = 0; i < n; i++)
#define ll long long
#define deb(x) cout << #x << "=" << x << endl
#define deb2(x, y) cout << #x << "=" << x << "," << #y << "=" << y << endl
#define all(x) x.begin(), x.end()
#define clr(x) memset(x, 0, sizeof(x))
#define sortall(x) sort(all(x))
#define PI 3.1415926535897932384626
typedef map<ll, ll> mp;
typedef pair<int, int> pii;
typedef vector<ll> vi;
typedef vector<pii> vpii;
typedef vector<vi> vvi;
int main() {
#ifndef ONLINE_JUDGE
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int m = 1000000007;
int n;
cin >> n;
vi a(n);
fo(i, n) cin >> a[i];
ll sum = 0, sum1 = 0;
// vi temp;
for (int i = 0; i < n; i++) {
sum1 += a[i];
sum1 %= m;
}
for (int i = 0; i < a.size(); i++) {
sum1 -= a[i];
if (sum1 < 0)
sum1 += m;
sum += a[i] * sum1;
sum %= m;
}
cout << sum << endl;
return 0;
} | replace | 30 | 35 | 30 | 43 | TLE | |
p02572 | C++ | Time Limit Exceeded | #include <bits/stdc++.h>
using namespace std;
int main() {
int N;
cin >> N;
vector<long long> V(N);
for (int i = 0; i < N; i++) {
cin >> V.at(i);
}
long long C = 1000000007;
long long Sum = 0;
for (int i = 0; i < N; i++) {
for (int j = (i + 1); j < N; j++) {
Sum += (V.at(i) * V.at(j)) % C;
}
}
cout << Sum % C << endl;
} | #include <bits/stdc++.h>
using namespace std;
int main() {
int N;
cin >> N;
vector<long long> V(N);
for (int i = 0; i < N; i++) {
cin >> V.at(i);
}
long long C = 1000000007;
long long Sum = 0;
vector<long long> W(N - 1);
W.at(0) = V.at(0);
for (int i = 1; i < N - 1; i++) {
W.at(i) = W.at(i - 1) + V.at(i);
}
for (int i = 0; i < N - 1; i++) {
Sum += ((W.at(i) % C) * V.at(i + 1)) % C;
}
cout << Sum % C << endl;
} | replace | 12 | 16 | 12 | 19 | TLE | |
p02572 | C++ | Runtime Error | #include <bits/stdc++.h>
#define rep(X, N) for (ll X = 0LL; X < (N); X++)
#define ALL(V) (V).begin(), (V).end()
#define endl "\n"
using namespace std;
typedef long long ll;
const double PI = 3.1415926535897932384626;
const ll MODN = 1000000007;
const ll MODN2 = 998244353;
const double EPS = 1e-10;
int main() {
int n;
cin >> n;
vector<ll> a(n);
vector<ll> b(1);
rep(i, n) {
cin >> a[i];
b.push_back((b[i] + a[i]) % MODN);
}
ll ans = 0;
rep(i, n) {
ll sum = b[n] - b[i + 1];
assert(sum >= 0);
sum = sum % MODN;
ans = (ans + (a[i] * sum) % MODN) % MODN;
}
cout << ans << endl;
return 0;
} | #include <bits/stdc++.h>
#define rep(X, N) for (ll X = 0LL; X < (N); X++)
#define ALL(V) (V).begin(), (V).end()
#define endl "\n"
using namespace std;
typedef long long ll;
const double PI = 3.1415926535897932384626;
const ll MODN = 1000000007;
const ll MODN2 = 998244353;
const double EPS = 1e-10;
int main() {
int n;
cin >> n;
vector<ll> a(n);
vector<ll> b(1);
rep(i, n) {
cin >> a[i];
b.push_back((b[i] + a[i]) % MODN);
}
ll ans = 0;
rep(i, n) {
ll sum = b[n] - b[i + 1];
if (sum < 0)
sum += MODN;
sum = sum % MODN;
ans = (ans + (a[i] * sum) % MODN) % MODN;
}
cout << ans << endl;
return 0;
}
| replace | 31 | 32 | 31 | 33 | 0 | |
p02572 | C++ | Runtime Error | #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll mod = 1000000007;
int main() {
ll n;
cin >> n;
vector<ll> a(n);
for (ll i = 0; i < n; ++i) {
cin >> a[i];
}
vector<ll> sum(n, 0);
sum[0] = 0;
for (ll i = 0; i < n; ++i) {
sum[i + 1] = (sum[i] + a[n - 1 - i]) % mod;
}
ll res = 0;
for (ll i = 1; i < n; ++i) {
res += (sum[i] * a[n - 1 - i]) % mod;
}
res %= mod;
cout << res << endl;
return 0;
} | #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll mod = 1000000007;
int main() {
ll n;
cin >> n;
vector<ll> a(n);
for (ll i = 0; i < n; ++i) {
cin >> a[i];
}
vector<ll> sum(n, 0);
sum[0] = 0;
for (ll i = 0; i < n - 1; ++i) {
sum[i + 1] = (sum[i] + a[n - 1 - i]) % mod;
}
ll res = 0;
for (ll i = 1; i < n; ++i) {
res += (sum[i] * a[n - 1 - i]) % mod;
}
res %= mod;
cout << res << endl;
return 0;
} | replace | 13 | 14 | 13 | 14 | -6 | Fatal glibc error: malloc assertion failure in sysmalloc: (old_top == initial_top (av) && old_size == 0) || ((unsigned long) (old_size) >= MINSIZE && prev_inuse (old_top) && ((unsigned long) old_end & (pagesize - 1)) == 0)
|
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