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p02632
C++
Runtime Error
/*input 37564 whydidyoudesertme */ // Nihesh Anderson - knandy #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; using namespace std; typedef long long ll; typedef long double ld; typedef tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> ordered_set; // find_by_order, order_of_key ll MOD = 1000000007; #define endl '\n' #define fast_cin() \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0); #define pb push_back ll INF = 2000000000000000001; long double EPS = 1e-9; ll power(ll a, ll n, ll md) { if (n == 0) { return 1; } else { ll res = power(a, n / 2, md); res = (res * res) % md; if (n % 2 != 0) { res = (res * a) % md; } return res; } } random_device rndm; mt19937 grndm(rndm()); void mix(ll *a, ll *b) { shuffle(a, b, grndm); } const ll MX = 1000006; ll fact[MX], ifact[MX], pow25[MX], pow26[MX]; ll choose(ll n, ll k) { return fact[n] * ifact[k] % MOD * ifact[n - k] % MOD; } int main() { fast_cin(); // freopen("input.in","r",stdin); // freopen("output.out","w",stdout); fact[0] = 1; for (ll i = 1; i < MX; i++) { fact[i] = (i * fact[i - 1]) % MOD; } for (ll i = 0; i < MX; i++) { ifact[i] = power(fact[i], MOD - 2, MOD); } pow25[0] = pow26[0] = 1; for (ll i = 1; i < MX; i++) { pow25[i] = (25 * pow25[i - 1]) % MOD; pow26[i] = (26 * pow26[i - 1]) % MOD; } ll k; cin >> k; string s; cin >> s; ll n = s.size(); ll ans = 0; for (ll i = n - 1; i <= n + k - 1; i++) { ans = (ans + choose(i, n - 1) * pow26[n + k - 1 - i] % MOD * pow25[i - n + 1] % MOD) % MOD; } cout << ans << endl; return 0; }
/*input 37564 whydidyoudesertme */ // Nihesh Anderson - knandy #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; using namespace std; typedef long long ll; typedef long double ld; typedef tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> ordered_set; // find_by_order, order_of_key ll MOD = 1000000007; #define endl '\n' #define fast_cin() \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0); #define pb push_back ll INF = 2000000000000000001; long double EPS = 1e-9; ll power(ll a, ll n, ll md) { if (n == 0) { return 1; } else { ll res = power(a, n / 2, md); res = (res * res) % md; if (n % 2 != 0) { res = (res * a) % md; } return res; } } random_device rndm; mt19937 grndm(rndm()); void mix(ll *a, ll *b) { shuffle(a, b, grndm); } const ll MX = 2000006; ll fact[MX], ifact[MX], pow25[MX], pow26[MX]; ll choose(ll n, ll k) { return fact[n] * ifact[k] % MOD * ifact[n - k] % MOD; } int main() { fast_cin(); // freopen("input.in","r",stdin); // freopen("output.out","w",stdout); fact[0] = 1; for (ll i = 1; i < MX; i++) { fact[i] = (i * fact[i - 1]) % MOD; } for (ll i = 0; i < MX; i++) { ifact[i] = power(fact[i], MOD - 2, MOD); } pow25[0] = pow26[0] = 1; for (ll i = 1; i < MX; i++) { pow25[i] = (25 * pow25[i - 1]) % MOD; pow26[i] = (26 * pow26[i - 1]) % MOD; } ll k; cin >> k; string s; cin >> s; ll n = s.size(); ll ans = 0; for (ll i = n - 1; i <= n + k - 1; i++) { ans = (ans + choose(i, n - 1) * pow26[n + k - 1 - i] % MOD * pow25[i - n + 1] % MOD) % MOD; } cout << ans << endl; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> // clang-format off using Int = long long; #define REP_(i, a_, b_, a, b, ...) for (Int i = (a), lim##i = (b); i < lim##i; i++) #define REP(i, ...) REP_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) struct SetupIO { SetupIO() { std::cin.tie(nullptr), std::ios::sync_with_stdio(false), std::cout << std::fixed << std::setprecision(13); } } setup_io; #ifndef dump #define dump(...) #endif // clang-format on /** * author: knshnb * created: Sun Jun 21 21:22:27 JST 2020 **/ template <class T> T pow(T x, long long n, const T UNION = 1) { T ret = UNION; while (n) { if (n & 1) ret *= x; x *= x; n >>= 1; } return ret; } /// @docs src/Math/ModInt.md template <int Mod> struct ModInt { int x; static int runtime_mod; static std::unordered_map<int, int> to_inv; // テンプレート引数が負のときは実行時ModInt static int mod() { return Mod < 0 ? runtime_mod : Mod; } static void set_runtime_mod(int mod) { static_assert(Mod < 0, "template parameter Mod must be negative for runtime ModInt"); runtime_mod = mod; to_inv.clear(); } ModInt() : x(0) {} ModInt(long long x_) { if ((x = x_ % mod() + mod()) >= mod()) x -= mod(); } ModInt &operator+=(ModInt rhs) { if ((x += rhs.x) >= mod()) x -= mod(); return *this; } ModInt &operator*=(ModInt rhs) { x = (unsigned long long)x * rhs.x % mod(); return *this; } ModInt &operator-=(ModInt rhs) { if ((x -= rhs.x) < 0) x += mod(); return *this; } ModInt &operator/=(ModInt rhs) { x = (unsigned long long)x * rhs.inv().x % mod(); return *this; } ModInt operator-() const { return -x < 0 ? mod() - x : -x; } ModInt operator+(ModInt rhs) const { return ModInt(*this) += rhs; } ModInt operator*(ModInt rhs) const { return ModInt(*this) *= rhs; } ModInt operator-(ModInt rhs) const { return ModInt(*this) -= rhs; } ModInt operator/(ModInt rhs) const { return ModInt(*this) /= rhs; } bool operator==(ModInt rhs) const { return x == rhs.x; } bool operator!=(ModInt rhs) const { return x != rhs.x; } ModInt inv() const { return to_inv.count(this->x) ? to_inv[this->x] : (to_inv[this->x] = pow(*this, mod() - 2).x); } friend std::ostream &operator<<(std::ostream &s, ModInt<Mod> a) { s << a.x; return s; } friend std::istream &operator>>(std::istream &s, ModInt<Mod> &a) { long long tmp; s >> tmp; a = ModInt<Mod>(tmp); return s; } friend std::string to_string(ModInt<Mod> a) { return std::to_string(a.x); } }; template <int Mod> std::unordered_map<int, int> ModInt<Mod>::to_inv; template <int Mod> int ModInt<Mod>::runtime_mod; #ifndef CALL_FROM_TEST using mint = ModInt<1000000007>; #endif template <class T> struct Combination { std::vector<T> fact, fact_inv; Combination(int n = 1000003) : fact(n + 1, 1), fact_inv(n + 1) { for (int i = 0; i < n; i++) fact[i + 1] = fact[i] * (i + 1); fact_inv[n] = (T)1 / fact[n]; for (int i = n - 1; i >= 0; i--) fact_inv[i] = fact_inv[i + 1] * (i + 1); // for (int i = 0; i < n + 1; i++) assert(fact[i] * fact_inv[i] == 1); } T operator()(int n, int r) { return fact[n] * fact_inv[r] * fact_inv[n - r]; } }; signed main() { Combination<mint> comb; Int K; std::string s; std::cin >> K >> s; Int n = s.size(); mint ans = 0; REP(i, n, n + K + 1) { ans += comb(n + K, i) * pow(mint(25), n + K - i); } std::cout << ans << std::endl; }
#include <bits/stdc++.h> // clang-format off using Int = long long; #define REP_(i, a_, b_, a, b, ...) for (Int i = (a), lim##i = (b); i < lim##i; i++) #define REP(i, ...) REP_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) struct SetupIO { SetupIO() { std::cin.tie(nullptr), std::ios::sync_with_stdio(false), std::cout << std::fixed << std::setprecision(13); } } setup_io; #ifndef dump #define dump(...) #endif // clang-format on /** * author: knshnb * created: Sun Jun 21 21:22:27 JST 2020 **/ template <class T> T pow(T x, long long n, const T UNION = 1) { T ret = UNION; while (n) { if (n & 1) ret *= x; x *= x; n >>= 1; } return ret; } /// @docs src/Math/ModInt.md template <int Mod> struct ModInt { int x; static int runtime_mod; static std::unordered_map<int, int> to_inv; // テンプレート引数が負のときは実行時ModInt static int mod() { return Mod < 0 ? runtime_mod : Mod; } static void set_runtime_mod(int mod) { static_assert(Mod < 0, "template parameter Mod must be negative for runtime ModInt"); runtime_mod = mod; to_inv.clear(); } ModInt() : x(0) {} ModInt(long long x_) { if ((x = x_ % mod() + mod()) >= mod()) x -= mod(); } ModInt &operator+=(ModInt rhs) { if ((x += rhs.x) >= mod()) x -= mod(); return *this; } ModInt &operator*=(ModInt rhs) { x = (unsigned long long)x * rhs.x % mod(); return *this; } ModInt &operator-=(ModInt rhs) { if ((x -= rhs.x) < 0) x += mod(); return *this; } ModInt &operator/=(ModInt rhs) { x = (unsigned long long)x * rhs.inv().x % mod(); return *this; } ModInt operator-() const { return -x < 0 ? mod() - x : -x; } ModInt operator+(ModInt rhs) const { return ModInt(*this) += rhs; } ModInt operator*(ModInt rhs) const { return ModInt(*this) *= rhs; } ModInt operator-(ModInt rhs) const { return ModInt(*this) -= rhs; } ModInt operator/(ModInt rhs) const { return ModInt(*this) /= rhs; } bool operator==(ModInt rhs) const { return x == rhs.x; } bool operator!=(ModInt rhs) const { return x != rhs.x; } ModInt inv() const { return to_inv.count(this->x) ? to_inv[this->x] : (to_inv[this->x] = pow(*this, mod() - 2).x); } friend std::ostream &operator<<(std::ostream &s, ModInt<Mod> a) { s << a.x; return s; } friend std::istream &operator>>(std::istream &s, ModInt<Mod> &a) { long long tmp; s >> tmp; a = ModInt<Mod>(tmp); return s; } friend std::string to_string(ModInt<Mod> a) { return std::to_string(a.x); } }; template <int Mod> std::unordered_map<int, int> ModInt<Mod>::to_inv; template <int Mod> int ModInt<Mod>::runtime_mod; #ifndef CALL_FROM_TEST using mint = ModInt<1000000007>; #endif template <class T> struct Combination { std::vector<T> fact, fact_inv; Combination(int n = 2000003) : fact(n + 1, 1), fact_inv(n + 1) { for (int i = 0; i < n; i++) fact[i + 1] = fact[i] * (i + 1); fact_inv[n] = (T)1 / fact[n]; for (int i = n - 1; i >= 0; i--) fact_inv[i] = fact_inv[i + 1] * (i + 1); // for (int i = 0; i < n + 1; i++) assert(fact[i] * fact_inv[i] == 1); } T operator()(int n, int r) { return fact[n] * fact_inv[r] * fact_inv[n - r]; } }; signed main() { Combination<mint> comb; Int K; std::string s; std::cin >> K >> s; Int n = s.size(); mint ans = 0; REP(i, n, n + K + 1) { ans += comb(n + K, i) * pow(mint(25), n + K - i); } std::cout << ans << std::endl; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define all(x) (x).begin(), (x).end() typedef long long ll; typedef pair<ll, ll> P; const int mod = 1000000007; // 出力は (ans % mod + mod) % mod (負の剰余を正にする) const int inf = 1e9; const long long INF = 1LL << 60; // INF = 11 #define N_MAX 201010 ll f[N_MAX], rf[N_MAX]; // f[n] := n! // rf[n] := (n!)^-1 ll modpow(ll a, ll b) { // aのb乗 ll ans = 1; while (b > 0) { if (b & 1) ans = ans * a % mod; a = a * a % mod; b /= 2; } return ans; } void init() { f[0] = 1; for (ll i = 1; i < N_MAX; i++) { f[i] = (i * f[i - 1]) % mod; } for (ll i = 0; i < N_MAX; i++) { rf[i] = modpow(f[i], mod - 2); } } ll com(ll n, ll k) { // init(); ll a = f[n]; ll b = rf[k]; ll c = rf[n - k]; ll bc = (b * c) % mod; return ((a * bc) % mod); } int main() { ll k; cin >> k; string s; cin >> s; ll n = s.size(); init(); ll ans = 0; for (ll i = 0; i <= k; i++) { ans += com((n - 1 + k - i), (n - 1)) * modpow(25, k - i) % mod * modpow(26, i) % mod; ans %= mod; } cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define all(x) (x).begin(), (x).end() typedef long long ll; typedef pair<ll, ll> P; const int mod = 1000000007; // 出力は (ans % mod + mod) % mod (負の剰余を正にする) const int inf = 1e9; const long long INF = 1LL << 60; // INF = 11 #define N_MAX 2010100 ll f[N_MAX], rf[N_MAX]; // f[n] := n! // rf[n] := (n!)^-1 ll modpow(ll a, ll b) { // aのb乗 ll ans = 1; while (b > 0) { if (b & 1) ans = ans * a % mod; a = a * a % mod; b /= 2; } return ans; } void init() { f[0] = 1; for (ll i = 1; i < N_MAX; i++) { f[i] = (i * f[i - 1]) % mod; } for (ll i = 0; i < N_MAX; i++) { rf[i] = modpow(f[i], mod - 2); } } ll com(ll n, ll k) { // init(); ll a = f[n]; ll b = rf[k]; ll c = rf[n - k]; ll bc = (b * c) % mod; return ((a * bc) % mod); } int main() { ll k; cin >> k; string s; cin >> s; ll n = s.size(); init(); ll ans = 0; for (ll i = 0; i <= k; i++) { ans += com((n - 1 + k - i), (n - 1)) * modpow(25, k - i) % mod * modpow(26, i) % mod; ans %= mod; } cout << ans << endl; }
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0
p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define finish(x) return cout << x << endl, 0 #define ll long long const int N = 1000001; int n, k, fact[N], inv[N], mod = 1e9 + 7; string s; int powlog(int a, int b) { if (b == 0) return 1; int ret = powlog(a, b / 2); if (b % 2) return 1LL * ret * ret % mod * a % mod; return 1LL * ret * ret % mod; } int C(int n, int r) { if (r > n) return 0; return 1LL * fact[n] * inv[n - r] % mod * inv[r] % mod; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); fact[0] = 1; for (int i = 1; i < N; i++) { fact[i] = 1LL * i * fact[i - 1] % mod; } inv[N - 1] = powlog(fact[N - 1], mod - 2); for (int i = N - 2; i >= 0; i--) { inv[i] = 1LL * (i + 1) * inv[i + 1] % mod; } cin >> k >> s; n = s.size(); int ans = 0; for (int i = 0; i <= k; i++) { ans = (ans + 1LL * powlog(25, k - i) * powlog(26, i) % mod * C(n - 1 + k - i, n - 1)) % mod; } cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; #define finish(x) return cout << x << endl, 0 #define ll long long const int N = 2000001; int n, k, fact[N], inv[N], mod = 1e9 + 7; string s; int powlog(int a, int b) { if (b == 0) return 1; int ret = powlog(a, b / 2); if (b % 2) return 1LL * ret * ret % mod * a % mod; return 1LL * ret * ret % mod; } int C(int n, int r) { if (r > n) return 0; return 1LL * fact[n] * inv[n - r] % mod * inv[r] % mod; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); fact[0] = 1; for (int i = 1; i < N; i++) { fact[i] = 1LL * i * fact[i - 1] % mod; } inv[N - 1] = powlog(fact[N - 1], mod - 2); for (int i = N - 2; i >= 0; i--) { inv[i] = 1LL * (i + 1) * inv[i + 1] % mod; } cin >> k >> s; n = s.size(); int ans = 0; for (int i = 0; i <= k; i++) { ans = (ans + 1LL * powlog(25, k - i) * powlog(26, i) % mod * C(n - 1 + k - i, n - 1)) % mod; } cout << ans << endl; }
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p02632
C++
Runtime Error
// #include "bits/stdc++.h" #define _USE_MATH_DEFINES #include <algorithm> #include <bitset> #include <cmath> #include <complex> #include <cstdio> #include <cstdlib> #include <cstring> #include <deque> #include <functional> #include <iomanip> #include <iostream> #include <iterator> #include <list> #include <map> #include <numeric> #include <queue> #include <set> #include <sstream> #include <stack> #include <string> #include <unordered_map> #include <unordered_set> #include <utility> #include <vector> using namespace std; #define rep(i, a, b) for (int i = (a), i##_len = (b); i < i##_len; i++) #define rrep(i, a, b) for (int i = (b)-1; i >= (a); i--) #define all(c) begin(c), end(c) #define int ll #define SZ(x) ((int)(x).size()) #define pb push_back #define mp make_pair // typedef unsigned long long ull; typedef long long ll; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef pair<ll, int> pli; typedef pair<double, double> pdd; typedef vector<vector<int>> mat; 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; } const int INF = sizeof(int) == sizeof(long long) ? 0x3f3f3f3f3f3f3f3fLL : 0x3f3f3f3f; const int MOD = (int)1e9 + 7; const double EPS = 1e-9; const int MAX = 1000010; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } int modpow(int x, int n, const int mo) { int res = 1; while (n > 0) { if (n & 1) (res *= x) %= mo; (x *= x) %= mo; n >>= 1; } return res; } int inverse(int x, const int mo) { return modpow(x, mo - 2, mo); } signed main() { cin.tie(0); ios::sync_with_stdio(false); COMinit(); int K; cin >> K; string S; cin >> S; int ans = 0; rep(i, 0, K + 1) { int l = modpow(25LL, i, MOD); int r = modpow(26LL, K - i, MOD); int con = COM(SZ(S) + i - 1, i); l *= r; l %= MOD; l *= con; l %= MOD; ans += l; ans %= MOD; } cout << ans << endl; return 0; }
// #include "bits/stdc++.h" #define _USE_MATH_DEFINES #include <algorithm> #include <bitset> #include <cmath> #include <complex> #include <cstdio> #include <cstdlib> #include <cstring> #include <deque> #include <functional> #include <iomanip> #include <iostream> #include <iterator> #include <list> #include <map> #include <numeric> #include <queue> #include <set> #include <sstream> #include <stack> #include <string> #include <unordered_map> #include <unordered_set> #include <utility> #include <vector> using namespace std; #define rep(i, a, b) for (int i = (a), i##_len = (b); i < i##_len; i++) #define rrep(i, a, b) for (int i = (b)-1; i >= (a); i--) #define all(c) begin(c), end(c) #define int ll #define SZ(x) ((int)(x).size()) #define pb push_back #define mp make_pair // typedef unsigned long long ull; typedef long long ll; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef pair<ll, int> pli; typedef pair<double, double> pdd; typedef vector<vector<int>> mat; 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; } const int INF = sizeof(int) == sizeof(long long) ? 0x3f3f3f3f3f3f3f3fLL : 0x3f3f3f3f; const int MOD = (int)1e9 + 7; const double EPS = 1e-9; const int MAX = 2000010; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } int modpow(int x, int n, const int mo) { int res = 1; while (n > 0) { if (n & 1) (res *= x) %= mo; (x *= x) %= mo; n >>= 1; } return res; } int inverse(int x, const int mo) { return modpow(x, mo - 2, mo); } signed main() { cin.tie(0); ios::sync_with_stdio(false); COMinit(); int K; cin >> K; string S; cin >> S; int ans = 0; rep(i, 0, K + 1) { int l = modpow(25LL, i, MOD); int r = modpow(26LL, K - i, MOD); int con = COM(SZ(S) + i - 1, i); l *= r; l %= MOD; l *= con; l %= MOD; ans += l; ans %= MOD; } cout << ans << endl; return 0; }
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p02632
C++
Runtime Error
// 四則演算 #pragma GCC target("avx") // 並列計算 #pragma GCC optimize("O3") // 条件分岐を減らす #pragma GCC optimize("unroll-loops") // 浮動小数点演算 #pragma GCC // target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; using VI = vector<int>; using VL = vector<ll>; using VS = vector<string>; template <class T> using PQ = priority_queue<T, vector<T>, greater<T>>; #define FOR(i, a, n) for (int i = (a); i < (n); ++i) #define eFOR(i, a, n) for (int i = (a); i <= (n); ++i) #define rFOR(i, a, n) for (int i = (n)-1; i >= (a); --i) #define erFOR(i, a, n) for (int i = (n); i >= (a); --i) #define each(i, a) for (auto &i : a) #define SORT(a) sort(a.begin(), a.end()) #define rSORT(a) sort(a.rbegin(), a.rend()) #define fSORT(a, f) sort(a.begin(), a.end(), f) #define all(a) a.begin(), a.end() #define out(y, x) ((y) < 0 || h <= (y) || (x) < 0 || w <= (x)) #define tp(a, i) get<i>(a) #define line cout << "-----------------------------\n" #define ENDL(i, n) ((i) == (n)-1 ? "\n" : " ") #define stop system("pause") constexpr ll INF = 1000000000; constexpr ll LLINF = 1LL << 60; constexpr ll mod = 1000000007; constexpr ll MOD = 998244353; constexpr ld eps = 1e-10; constexpr ld pi = 3.1415926535897932; template <class T> inline bool chmax(T &a, const T &b) { if (a < b) { a = b; return true; } return false; } template <class T> inline bool chmin(T &a, const T &b) { if (a > b) { a = b; return true; } return false; } inline void init() { cin.tie(nullptr); cout.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } template <class T> inline istream &operator>>(istream &is, vector<T> &v) { for (auto &a : v) is >> a; return is; } template <class T> inline istream &operator>>(istream &is, deque<T> &v) { for (auto &a : v) is >> a; return is; } template <class T, class U> inline istream &operator>>(istream &is, pair<T, U> &p) { is >> p.first >> p.second; return is; } template <class T> inline vector<T> vec(size_t a) { return vector<T>(a); } template <class T> inline vector<T> defvec(T def, size_t a) { return vector<T>(a, def); } template <class T, class... Ts> inline auto vec(size_t a, Ts... ts) { return vector<decltype(vec<T>(ts...))>(a, vec<T>(ts...)); } template <class T, class... Ts> inline auto defvec(T def, size_t a, Ts... ts) { return vector<decltype(defvec<T>(def, ts...))>(a, defvec<T>(def, ts...)); } template <class T> inline void print(const T &a) { cout << a << "\n"; } template <class T, class... Ts> inline void print(const T &a, const Ts &...ts) { cout << a << " "; print(ts...); } template <class T> inline void print(const vector<T> &v) { for (int i = 0; i < v.size(); ++i) cout << v[i] << (i == v.size() - 1 ? "\n" : " "); } template <class T> inline void print(const vector<vector<T>> &v) { for (auto &a : v) print(a); } inline string reversed(const string &s) { string t = s; reverse(all(t)); return t; } template <int modulo> struct ModInt { int x; ModInt() : x(0) {} ModInt(long long y) : x(y >= 0 ? y % modulo : (modulo - (-y) % modulo) % modulo) {} ModInt &operator+=(const ModInt &p) { if ((x += p.x) >= modulo) x -= modulo; return *this; } ModInt &operator-=(const ModInt &p) { if ((x += modulo - p.x) >= modulo) x -= modulo; return *this; } ModInt &operator*=(const ModInt &p) { x = (int)(1LL * x * p.x % modulo); 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 = modulo, u = 1, v = 0, t; while (b > 0) { t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return ModInt(u); } ModInt pow(int e) { long long a = 1, p = x; while (e > 0) { if (e % 2 == 0) { p = (p * p) % modulo; e /= 2; } else { a = (a * p) % modulo; e--; } } return ModInt(a); } friend ostream &operator<<(ostream &os, const ModInt<modulo> &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt<modulo> &a) { long long x; is >> x; a = ModInt<modulo>(x); return (is); } }; using modint = ModInt<mod>; const int MAX = 510000; ll fac[MAX], finv[MAX], inv[MAX]; bool Pre = true; void cominit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; FOR(i, 2, MAX) { fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod % i] * (mod / i) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } ll com(int n, int k) { if (Pre) { cominit(); Pre = false; } if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } int main() { init(); int k; cin >> k; string s; cin >> s; int n = s.length(); modint ans = 0; FOR(i, n - 1, n + k) { ans += modint(com(i, n - 1)) * modint(25).pow(i - n + 1) * modint(26).pow(n + k - i - 1); } print(ans); return 0; }
// 四則演算 #pragma GCC target("avx") // 並列計算 #pragma GCC optimize("O3") // 条件分岐を減らす #pragma GCC optimize("unroll-loops") // 浮動小数点演算 #pragma GCC // target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; using VI = vector<int>; using VL = vector<ll>; using VS = vector<string>; template <class T> using PQ = priority_queue<T, vector<T>, greater<T>>; #define FOR(i, a, n) for (int i = (a); i < (n); ++i) #define eFOR(i, a, n) for (int i = (a); i <= (n); ++i) #define rFOR(i, a, n) for (int i = (n)-1; i >= (a); --i) #define erFOR(i, a, n) for (int i = (n); i >= (a); --i) #define each(i, a) for (auto &i : a) #define SORT(a) sort(a.begin(), a.end()) #define rSORT(a) sort(a.rbegin(), a.rend()) #define fSORT(a, f) sort(a.begin(), a.end(), f) #define all(a) a.begin(), a.end() #define out(y, x) ((y) < 0 || h <= (y) || (x) < 0 || w <= (x)) #define tp(a, i) get<i>(a) #define line cout << "-----------------------------\n" #define ENDL(i, n) ((i) == (n)-1 ? "\n" : " ") #define stop system("pause") constexpr ll INF = 1000000000; constexpr ll LLINF = 1LL << 60; constexpr ll mod = 1000000007; constexpr ll MOD = 998244353; constexpr ld eps = 1e-10; constexpr ld pi = 3.1415926535897932; template <class T> inline bool chmax(T &a, const T &b) { if (a < b) { a = b; return true; } return false; } template <class T> inline bool chmin(T &a, const T &b) { if (a > b) { a = b; return true; } return false; } inline void init() { cin.tie(nullptr); cout.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } template <class T> inline istream &operator>>(istream &is, vector<T> &v) { for (auto &a : v) is >> a; return is; } template <class T> inline istream &operator>>(istream &is, deque<T> &v) { for (auto &a : v) is >> a; return is; } template <class T, class U> inline istream &operator>>(istream &is, pair<T, U> &p) { is >> p.first >> p.second; return is; } template <class T> inline vector<T> vec(size_t a) { return vector<T>(a); } template <class T> inline vector<T> defvec(T def, size_t a) { return vector<T>(a, def); } template <class T, class... Ts> inline auto vec(size_t a, Ts... ts) { return vector<decltype(vec<T>(ts...))>(a, vec<T>(ts...)); } template <class T, class... Ts> inline auto defvec(T def, size_t a, Ts... ts) { return vector<decltype(defvec<T>(def, ts...))>(a, defvec<T>(def, ts...)); } template <class T> inline void print(const T &a) { cout << a << "\n"; } template <class T, class... Ts> inline void print(const T &a, const Ts &...ts) { cout << a << " "; print(ts...); } template <class T> inline void print(const vector<T> &v) { for (int i = 0; i < v.size(); ++i) cout << v[i] << (i == v.size() - 1 ? "\n" : " "); } template <class T> inline void print(const vector<vector<T>> &v) { for (auto &a : v) print(a); } inline string reversed(const string &s) { string t = s; reverse(all(t)); return t; } template <int modulo> struct ModInt { int x; ModInt() : x(0) {} ModInt(long long y) : x(y >= 0 ? y % modulo : (modulo - (-y) % modulo) % modulo) {} ModInt &operator+=(const ModInt &p) { if ((x += p.x) >= modulo) x -= modulo; return *this; } ModInt &operator-=(const ModInt &p) { if ((x += modulo - p.x) >= modulo) x -= modulo; return *this; } ModInt &operator*=(const ModInt &p) { x = (int)(1LL * x * p.x % modulo); 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 = modulo, u = 1, v = 0, t; while (b > 0) { t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return ModInt(u); } ModInt pow(int e) { long long a = 1, p = x; while (e > 0) { if (e % 2 == 0) { p = (p * p) % modulo; e /= 2; } else { a = (a * p) % modulo; e--; } } return ModInt(a); } friend ostream &operator<<(ostream &os, const ModInt<modulo> &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt<modulo> &a) { long long x; is >> x; a = ModInt<modulo>(x); return (is); } }; using modint = ModInt<mod>; const int MAX = 2000001; ll fac[MAX], finv[MAX], inv[MAX]; bool Pre = true; void cominit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; FOR(i, 2, MAX) { fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod % i] * (mod / i) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } ll com(int n, int k) { if (Pre) { cominit(); Pre = false; } if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } int main() { init(); int k; cin >> k; string s; cin >> s; int n = s.length(); modint ans = 0; FOR(i, n - 1, n + k) { ans += modint(com(i, n - 1)) * modint(25).pow(i - n + 1) * modint(26).pow(n + k - i - 1); } print(ans); return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long ll; const int N = 1e6 + 10; const int mod = 1e9 + 7; ll fac[N], inv[N]; char s[N]; int k; ll qp(ll a, ll b) { ll res = 1; while (b) { if (b & 1) res = res * a % mod; a = a * a % mod; b >>= 1; } return res; } void init() { fac[0] = fac[1] = 1; for (int i = 2; i < N; i++) fac[i] = fac[i - 1] * i % mod; inv[N - 1] = qp(fac[N - 1], mod - 2); for (int i = N - 2; i >= 0; i--) inv[i] = inv[i + 1] * (i + 1) % mod; } ll C(ll a, ll b) { if (b > a) return 0ll; return fac[a] * inv[b] % mod * inv[a - b] % mod; } ll add(ll a, ll b) { return (a + b) % mod; } int main() { init(); scanf("%d", &k); scanf("%s", s); ll res = 0; int len = strlen(s); for (int i = len; i <= k + len; i++) // 枚举前i个字符为S的所在地,即第i个位置是字符s[len-1]的所在地 res = add(res, C(i - 1, len - 1) * qp(25ll, i - len) % mod * qp(26ll, k + len - i) % mod); printf("%lld\n", res); return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; const int N = 2e6 + 10; const int mod = 1e9 + 7; ll fac[N], inv[N]; char s[N]; int k; ll qp(ll a, ll b) { ll res = 1; while (b) { if (b & 1) res = res * a % mod; a = a * a % mod; b >>= 1; } return res; } void init() { fac[0] = fac[1] = 1; for (int i = 2; i < N; i++) fac[i] = fac[i - 1] * i % mod; inv[N - 1] = qp(fac[N - 1], mod - 2); for (int i = N - 2; i >= 0; i--) inv[i] = inv[i + 1] * (i + 1) % mod; } ll C(ll a, ll b) { if (b > a) return 0ll; return fac[a] * inv[b] % mod * inv[a - b] % mod; } ll add(ll a, ll b) { return (a + b) % mod; } int main() { init(); scanf("%d", &k); scanf("%s", s); ll res = 0; int len = strlen(s); for (int i = len; i <= k + len; i++) // 枚举前i个字符为S的所在地,即第i个位置是字符s[len-1]的所在地 res = add(res, C(i - 1, len - 1) * qp(25ll, i - len) % mod * qp(26ll, k + len - i) % mod); printf("%lld\n", res); return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long ll; #define rep(i, srt, end) for (long long i = (srt); i < (long long)(end); i++) const int MAX = 510000; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; ll mod_pow(ll a, ll n) { a %= MOD; ll ret = 1; while (n > 0) { if (n & 1LL) ret = (ret * a) % MOD; a = (a * a) % MOD; n = n >> 1; } return ret; } // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } int main() { COMinit(); ll k; string s; cin >> k >> s; ll n = s.size(); ll sum = n + k; ll ans = 0; rep(b, 0, k + 1) { ll f = sum - b; ll tmp = (COM(f - 1, n - 1) * mod_pow(25, k - b)) % MOD; tmp = (tmp * mod_pow(26, b)) % MOD; ans = (ans + tmp) % MOD; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; #define rep(i, srt, end) for (long long i = (srt); i < (long long)(end); i++) const int MAX = 2000010; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; ll mod_pow(ll a, ll n) { a %= MOD; ll ret = 1; while (n > 0) { if (n & 1LL) ret = (ret * a) % MOD; a = (a * a) % MOD; n = n >> 1; } return ret; } // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } int main() { COMinit(); ll k; string s; cin >> k >> s; ll n = s.size(); ll sum = n + k; ll ans = 0; rep(b, 0, k + 1) { ll f = sum - b; ll tmp = (COM(f - 1, n - 1) * mod_pow(25, k - b)) % MOD; tmp = (tmp * mod_pow(26, b)) % MOD; ans = (ans + tmp) % MOD; } cout << ans << endl; return 0; }
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p02632
C++
Runtime Error
/*================================================================ * * 创 建 者: badcw * 创建日期: 2020/6/21 20:51 * ================================================================*/ #include <bits/stdc++.h> #define ll long long using namespace std; const int maxn = 1e6 + 50; const int mod = 1e9 + 7; ll qp(ll a, ll n, ll mod = ::mod) { ll res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } ll jie[maxn] = {1}; char s[maxn]; ll inv(ll x) { return qp(x, mod - 2); } ll C(int x, int y) { if (x < y) return 0; if (x == 0) return 0; return jie[x] * inv(jie[y]) % mod * inv(jie[x - y]) % mod; } int main(int argc, char *argv[]) { int k; cin >> k >> s; int len = strlen(s); k += len; for (int i = 1; i <= k; ++i) jie[i] = jie[i - 1] * i % mod; ll res = qp(26, k); ll TC = 0; ll TQ = qp(25, k); ll tt = inv(25); for (int i = 0; i < len; ++i) { if (i == 0) { TC = 1; } else TC = TC * (k - i + 1) % mod * inv(i) % mod; res -= TC * TQ; res %= mod; TQ = TQ * tt % mod; // res -= C(k, i) * qp(25, k - i) % mod; // res %= mod; } if (res < 0) res += mod; cout << res << endl; // printf("%lld\n", res); return 0; }
/*================================================================ * * 创 建 者: badcw * 创建日期: 2020/6/21 20:51 * ================================================================*/ #include <bits/stdc++.h> #define ll long long using namespace std; const int maxn = 2e6 + 50; const int mod = 1e9 + 7; ll qp(ll a, ll n, ll mod = ::mod) { ll res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } ll jie[maxn] = {1}; char s[maxn]; ll inv(ll x) { return qp(x, mod - 2); } ll C(int x, int y) { if (x < y) return 0; if (x == 0) return 0; return jie[x] * inv(jie[y]) % mod * inv(jie[x - y]) % mod; } int main(int argc, char *argv[]) { int k; cin >> k >> s; int len = strlen(s); k += len; for (int i = 1; i <= k; ++i) jie[i] = jie[i - 1] * i % mod; ll res = qp(26, k); ll TC = 0; ll TQ = qp(25, k); ll tt = inv(25); for (int i = 0; i < len; ++i) { if (i == 0) { TC = 1; } else TC = TC * (k - i + 1) % mod * inv(i) % mod; res -= TC * TQ; res %= mod; TQ = TQ * tt % mod; // res -= C(k, i) * qp(25, k - i) % mod; // res %= mod; } if (res < 0) res += mod; cout << res << endl; // printf("%lld\n", res); return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; //.define // #define FILE_IN_OUT #define RET(_x) return cout << (_x) << '\n', 0; #define all(_obj) (_obj).begin(), (_obj).end() #define loop(_n) for (int i = 0; i < (_n); ++i) #define CeilDiv(_dividend, _divider) \ (((_dividend)-1LL + (_divider)) / (_divider)) #define sz(_obj) static_cast<int>((_obj).size()) #ifdef SHJ_LOCAL #define debug(_x) std::cerr << (#_x) << " = " << (_x) << '\n' << std::flush; #else #define debug(_x) \ {} #endif #define endl "\n" template <typename Tp> inline void outarr(Tp _begin, Tp _end, const char *_delim = " ") { for (Tp current = _begin; current != _end; ++current) { std::cout << *current << _delim; } std::cout << '\n'; } //.constant using ll = long long; using pii = std::pair<int, int>; constexpr int INF = 0x3f3f3f3f; constexpr int MOD = static_cast<const int>(1e9 + 7); //.data constexpr int MAXN = 1000005; int fact[MAXN]; int ifact[MAXN]; int Add(int x, int y) { x += y; return x < MOD ? x : x - MOD; } int Sub(int x, int y) { x -= y; return x >= 0 ? x : x + MOD; } int Mul(int x, int y) { return int(1LL * x * y % MOD); } int FastPow(int x, int p) { int res = 1; while (p > 0) { if (p & 1) { res = Mul(res, x); } p >>= 1; x = Mul(x, x); } return res; } int Inv(int x) { return FastPow(x, MOD - 2); } int C(int k, int n) { return Mul(fact[n], Mul(ifact[k], ifact[n - k])); } //.code int main() { #ifdef FILE_IN_OUT std::ifstream cin("input.txt", std::ios::in); std::ofstream cout("output.txt", std::ios::out); #else std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); #endif fact[0] = fact[1] = 1; for (int i = 2; i < MAXN; ++i) { fact[i] = Mul(i, fact[i - 1]); } ifact[MAXN - 1] = Inv(fact[MAXN - 1]); for (int i = MAXN - 2; i >= 0; --i) { ifact[i] = Mul(ifact[i + 1], i + 1); } int k; string s; cin >> k >> s; int n = k + sz(s); int ans = 0; for (int i = sz(s); i <= n; ++i) { ans = Add(ans, Mul(Mul(C(sz(s) - 1, i - 1), FastPow(25, i - sz(s))), FastPow(26, n - i))); } cout << ans << endl; #ifdef FILE_IN_OUT cin.close(); cout.close(); #endif return 0; }
#include <bits/stdc++.h> using namespace std; //.define // #define FILE_IN_OUT #define RET(_x) return cout << (_x) << '\n', 0; #define all(_obj) (_obj).begin(), (_obj).end() #define loop(_n) for (int i = 0; i < (_n); ++i) #define CeilDiv(_dividend, _divider) \ (((_dividend)-1LL + (_divider)) / (_divider)) #define sz(_obj) static_cast<int>((_obj).size()) #ifdef SHJ_LOCAL #define debug(_x) std::cerr << (#_x) << " = " << (_x) << '\n' << std::flush; #else #define debug(_x) \ {} #endif #define endl "\n" template <typename Tp> inline void outarr(Tp _begin, Tp _end, const char *_delim = " ") { for (Tp current = _begin; current != _end; ++current) { std::cout << *current << _delim; } std::cout << '\n'; } //.constant using ll = long long; using pii = std::pair<int, int>; constexpr int INF = 0x3f3f3f3f; constexpr int MOD = static_cast<const int>(1e9 + 7); //.data constexpr int MAXN = 2000005; int fact[MAXN]; int ifact[MAXN]; int Add(int x, int y) { x += y; return x < MOD ? x : x - MOD; } int Sub(int x, int y) { x -= y; return x >= 0 ? x : x + MOD; } int Mul(int x, int y) { return int(1LL * x * y % MOD); } int FastPow(int x, int p) { int res = 1; while (p > 0) { if (p & 1) { res = Mul(res, x); } p >>= 1; x = Mul(x, x); } return res; } int Inv(int x) { return FastPow(x, MOD - 2); } int C(int k, int n) { return Mul(fact[n], Mul(ifact[k], ifact[n - k])); } //.code int main() { #ifdef FILE_IN_OUT std::ifstream cin("input.txt", std::ios::in); std::ofstream cout("output.txt", std::ios::out); #else std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); #endif fact[0] = fact[1] = 1; for (int i = 2; i < MAXN; ++i) { fact[i] = Mul(i, fact[i - 1]); } ifact[MAXN - 1] = Inv(fact[MAXN - 1]); for (int i = MAXN - 2; i >= 0; --i) { ifact[i] = Mul(ifact[i + 1], i + 1); } int k; string s; cin >> k >> s; int n = k + sz(s); int ans = 0; for (int i = sz(s); i <= n; ++i) { ans = Add(ans, Mul(Mul(C(sz(s) - 1, i - 1), FastPow(25, i - sz(s))), FastPow(26, n - i))); } cout << ans << endl; #ifdef FILE_IN_OUT cin.close(); cout.close(); #endif return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define MOD 1000000007 // #define MOD 998244353 #define INF 1000000010 #define EPS 1e-9 #define F first #define S second #define debug(x) cout << x << endl; #define repi(i, x, n) for (int i = x; i < n; i++) #define rep(i, n) repi(i, 0, n) #define lp(i, n) repi(i, 0, n) #define repn(i, n) for (int i = n; i >= 0; i--) #define int long long #define endl "\n" typedef pair<int, int> PII; typedef pair<int, string> PIS; typedef pair<string, int> PSI; const int MAX = 500000; int fac[MAX], finv[MAX], inv[MAX]; void t() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; repi(i, 2, MAX) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } int calc(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } int modinv(int a, int m) { int b = m, u = 1, v = 0; while (b) { int t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= m; if (u < 0) u += m; return u; } signed main() { cin.tie(0); ios::sync_with_stdio(false); int k; string s; cin >> k >> s; int num = s.size(); int ans = 0; int now = 1; rep(i, k) { now *= 25; now %= MOD; } t(); rep(i, k + 1) { if (i != 0) { now = now * modinv(25, MOD) % MOD; now *= 26; now %= MOD; } // cout<<now<<" "<<ans<<endl; int kosuu = num - 1 + (k - i); int pl = now * calc(kosuu, k - i) % MOD; ans += pl; ans %= MOD; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define MOD 1000000007 // #define MOD 998244353 #define INF 1000000010 #define EPS 1e-9 #define F first #define S second #define debug(x) cout << x << endl; #define repi(i, x, n) for (int i = x; i < n; i++) #define rep(i, n) repi(i, 0, n) #define lp(i, n) repi(i, 0, n) #define repn(i, n) for (int i = n; i >= 0; i--) #define int long long #define endl "\n" typedef pair<int, int> PII; typedef pair<int, string> PIS; typedef pair<string, int> PSI; const int MAX = 5000000; int fac[MAX], finv[MAX], inv[MAX]; void t() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; repi(i, 2, MAX) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } int calc(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } int modinv(int a, int m) { int b = m, u = 1, v = 0; while (b) { int t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= m; if (u < 0) u += m; return u; } signed main() { cin.tie(0); ios::sync_with_stdio(false); int k; string s; cin >> k >> s; int num = s.size(); int ans = 0; int now = 1; rep(i, k) { now *= 25; now %= MOD; } t(); rep(i, k + 1) { if (i != 0) { now = now * modinv(25, MOD) % MOD; now *= 26; now %= MOD; } // cout<<now<<" "<<ans<<endl; int kosuu = num - 1 + (k - i); int pl = now * calc(kosuu, k - i) % MOD; ans += pl; ans %= MOD; } cout << ans << endl; return 0; }
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p02632
C++
Runtime Error
#include <iostream> #include <map> #include <vector> using namespace std; typedef long long ll; typedef vector<int> vi; const ll MOD = 1e9 + 7; const int M = 1e6 + 5; ll fac[M], ifac[M]; ll inv(ll x) { ll ans = 1; ll p = MOD - 2; while (p > 0) { if (p & 1) ans = (ans * x) % MOD; p >>= 1; x = (x * x) % MOD; } return ans; } ll ifa(int i) { if (!ifac[i]) ifac[i] = inv(fac[i]); return ifac[i]; } ll C(int n, int k) { return (((fac[n] * ifa(k)) % MOD) * ifa(n - k)) % MOD; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); fac[0] = 1; for (int i = 1; i < M; ++i) fac[i] = (fac[i - 1] * i) % MOD; int K; cin >> K; string S; cin >> S; int n = S.size(); ll ans = 0; ll p25 = 1, p26 = 1, i26 = inv(26); for (int k = 0; k < K; ++k) p26 = (p26 * 26) % MOD; for (int k = 0; k <= K; ++k) { ll a = (p25 * C(k + n - 1, n - 1)) % MOD; a = (a * p26) % MOD; ans = (ans + a) % MOD; p25 = (p25 * 25) % MOD; p26 = (p26 * i26) % MOD; } cout << ans << "\n"; return 0; }
#include <iostream> #include <map> #include <vector> using namespace std; typedef long long ll; typedef vector<int> vi; const ll MOD = 1e9 + 7; const int M = 2e6 + 5; ll fac[M], ifac[M]; ll inv(ll x) { ll ans = 1; ll p = MOD - 2; while (p > 0) { if (p & 1) ans = (ans * x) % MOD; p >>= 1; x = (x * x) % MOD; } return ans; } ll ifa(int i) { if (!ifac[i]) ifac[i] = inv(fac[i]); return ifac[i]; } ll C(int n, int k) { return (((fac[n] * ifa(k)) % MOD) * ifa(n - k)) % MOD; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); fac[0] = 1; for (int i = 1; i < M; ++i) fac[i] = (fac[i - 1] * i) % MOD; int K; cin >> K; string S; cin >> S; int n = S.size(); ll ans = 0; ll p25 = 1, p26 = 1, i26 = inv(26); for (int k = 0; k < K; ++k) p26 = (p26 * 26) % MOD; for (int k = 0; k <= K; ++k) { ll a = (p25 * C(k + n - 1, n - 1)) % MOD; a = (a * p26) % MOD; ans = (ans + a) % MOD; p25 = (p25 * 25) % MOD; p26 = (p26 * i26) % MOD; } cout << ans << "\n"; return 0; }
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p02632
C++
Runtime Error
// Optimise #include <bits/stdc++.h> using namespace std; #ifdef LOCAL #include "/home/shahraaz/bin/debug.h" #else #define db(...) #endif using ll = long long; #define f first #define s second #define pb push_back #define all(v) v.begin(), v.end() const int NAX = 2e5 + 5, MOD = 1000000007; const int _n = 2e5 + 10; vector<int> Fact(_n), Inv(_n); const int kmod = 1000000007; int mul(int a, int b, int mod = kmod) { return (long long)a * b % mod; } int add(int a, int b, int mod = kmod) { a += b; if (a >= mod) a -= mod; return a; } int sub(int a, int b, int mod = kmod) { a -= b; if (a < 0) a += mod; return a; } int power(int base, int index, int mod = kmod) { if (index == 0) return 1; int temp = power(base, index / 2, mod); temp = mul(temp, temp, mod); if (index & 1) temp = mul(temp, base, mod); return temp; } int mod_inv(int x, int mod = kmod) { return power(x, kmod - 2); } void pre() { Fact[0] = 1; for (int i = 1; i < _n; ++i) Fact[i] = mul(Fact[i - 1], i); Inv[_n - 1] = mod_inv(Fact[_n - 1]); for (int i = _n - 2; i >= 0; --i) Inv[i] = mul(Inv[i + 1], (1 + i)); } int ncr(int n, int r) { if (n < 0 || r < 0 || n - r < 0) return 0; return mul(Fact[n], mul(Inv[r], Inv[n - r])); } class Solution { private: public: Solution() {} ~Solution() {} void solveCase() { int k; cin >> k; pre(); int res = 0; string s; cin >> s; int n = s.length(); for (int len = n; len <= n + k; len++) res = add(res, mul(ncr(len - 1, n - 1), mul(power(26, n + k - len), power(25, len - n)))); cout << res << '\n'; } }; int32_t main() { #ifndef LOCAL ios_base::sync_with_stdio(0); cin.tie(0); #endif int t = 1; // cin >> t; Solution mySolver; for (int i = 1; i <= t; ++i) { mySolver.solveCase(); #ifdef LOCAL cerr << "Case #" << i << ": Time " << chrono::duration<double>(chrono::steady_clock::now() - TimeStart) .count() << " s.\n"; TimeStart = chrono::steady_clock::now(); #endif } return 0; }
// Optimise #include <bits/stdc++.h> using namespace std; #ifdef LOCAL #include "/home/shahraaz/bin/debug.h" #else #define db(...) #endif using ll = long long; #define f first #define s second #define pb push_back #define all(v) v.begin(), v.end() const int NAX = 2e5 + 5, MOD = 1000000007; const int _n = 2e6 + 10; vector<int> Fact(_n), Inv(_n); const int kmod = 1000000007; int mul(int a, int b, int mod = kmod) { return (long long)a * b % mod; } int add(int a, int b, int mod = kmod) { a += b; if (a >= mod) a -= mod; return a; } int sub(int a, int b, int mod = kmod) { a -= b; if (a < 0) a += mod; return a; } int power(int base, int index, int mod = kmod) { if (index == 0) return 1; int temp = power(base, index / 2, mod); temp = mul(temp, temp, mod); if (index & 1) temp = mul(temp, base, mod); return temp; } int mod_inv(int x, int mod = kmod) { return power(x, kmod - 2); } void pre() { Fact[0] = 1; for (int i = 1; i < _n; ++i) Fact[i] = mul(Fact[i - 1], i); Inv[_n - 1] = mod_inv(Fact[_n - 1]); for (int i = _n - 2; i >= 0; --i) Inv[i] = mul(Inv[i + 1], (1 + i)); } int ncr(int n, int r) { if (n < 0 || r < 0 || n - r < 0) return 0; return mul(Fact[n], mul(Inv[r], Inv[n - r])); } class Solution { private: public: Solution() {} ~Solution() {} void solveCase() { int k; cin >> k; pre(); int res = 0; string s; cin >> s; int n = s.length(); for (int len = n; len <= n + k; len++) res = add(res, mul(ncr(len - 1, n - 1), mul(power(26, n + k - len), power(25, len - n)))); cout << res << '\n'; } }; int32_t main() { #ifndef LOCAL ios_base::sync_with_stdio(0); cin.tie(0); #endif int t = 1; // cin >> t; Solution mySolver; for (int i = 1; i <= t; ++i) { mySolver.solveCase(); #ifdef LOCAL cerr << "Case #" << i << ": Time " << chrono::duration<double>(chrono::steady_clock::now() - TimeStart) .count() << " s.\n"; TimeStart = chrono::steady_clock::now(); #endif } return 0; }
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p02632
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 ll MOD = 1e9 + 7; const ll MX = 1e6 + 6; ll gcd(ll a, ll b) { if (b == 0) return a; return gcd(b, a % b); } ll extend_gcd(ll a, ll b, ll &x, ll &y) { if (b == 0) { x = 1, y = 0; return a; } else { ll r = extend_gcd(b, a % b, y, x); y -= x * (a / b); return r; } } ll inv(ll a, ll mod) { ll x, y; extend_gcd(a, mod, x, y); x = (x % mod + mod) % mod; return x; } ll K, NS, N; string S; ll fs[MX], ifs[MX]; ll mpow(ll a, ll n) { if (n == 0) return 1; ll r = mpow(a, n / 2); r *= r; r %= MOD; if (n % 2 == 1) r *= a; return r % MOD; } ll Cnm(ll n, ll m) { return (((((fs[n] * ifs[m]) % MOD + MOD) % MOD) * ifs[n - m]) % MOD + MOD) % MOD; } void init() { for (ll a = 0; a < MX; a++) { if (a == 0) fs[a] = 1; else fs[a] = (fs[a - 1] * a) % MOD; ifs[a] = (inv(fs[a], MOD) % MOD + MOD) % MOD; } } int main() { init(); cin >> K >> S; NS = S.size(); N = NS + K; ll res = 0; for (ll j = 0; j <= K; j++) { res += (Cnm(N, j + NS) * mpow(25, N - NS - j)) % MOD; res %= MOD; } cout << res << 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 ll MOD = 1e9 + 7; const ll MX = 2e6 + 6; ll gcd(ll a, ll b) { if (b == 0) return a; return gcd(b, a % b); } ll extend_gcd(ll a, ll b, ll &x, ll &y) { if (b == 0) { x = 1, y = 0; return a; } else { ll r = extend_gcd(b, a % b, y, x); y -= x * (a / b); return r; } } ll inv(ll a, ll mod) { ll x, y; extend_gcd(a, mod, x, y); x = (x % mod + mod) % mod; return x; } ll K, NS, N; string S; ll fs[MX], ifs[MX]; ll mpow(ll a, ll n) { if (n == 0) return 1; ll r = mpow(a, n / 2); r *= r; r %= MOD; if (n % 2 == 1) r *= a; return r % MOD; } ll Cnm(ll n, ll m) { return (((((fs[n] * ifs[m]) % MOD + MOD) % MOD) * ifs[n - m]) % MOD + MOD) % MOD; } void init() { for (ll a = 0; a < MX; a++) { if (a == 0) fs[a] = 1; else fs[a] = (fs[a - 1] * a) % MOD; ifs[a] = (inv(fs[a], MOD) % MOD + MOD) % MOD; } } int main() { init(); cin >> K >> S; NS = S.size(); N = NS + K; ll res = 0; for (ll j = 0; j <= K; j++) { res += (Cnm(N, j + NS) * mpow(25, N - NS - j)) % MOD; res %= MOD; } cout << res << endl; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> #define ALL(a) (a).begin(), (a).end() #define sz(x) int(x.size()) using namespace std; typedef long long ll; typedef pair<int, int> P; typedef pair<long long, long long> Pll; typedef vector<int> vi; typedef vector<vector<int>> vvi; typedef vector<long long> vll; typedef vector<vector<long long>> vvll; 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; } const long long INF = 1LL << 60; const int INT_INF = 1 << 30; const double PI = acos(-1.0); #define MOD 1000000007LL #define endl "\n" ll modbeki(ll x, ll n) { ll res = 1LL; while (n > 0) { if (n & 1) { res *= x % MOD; res %= MOD; } x = x * x % MOD; n >>= 1; } return res % MOD; } struct COM { ll modpow(ll x, ll nn) { ll res = 1; while (nn > 0) { if (nn & 1) res = res * x % MOD; x = x * x % MOD; nn >>= 1; } return res; } vll fact, ifact; COM(ll n) : fact(n + 1), ifact(n + 1) { assert(n < MOD); fact[0] = 1LL; for (ll i = 1; i <= n; i++) fact[i] = fact[i - 1] * i % MOD; ifact[n] = modpow(fact[n], MOD - 2); for (ll i = n; i >= 1; i--) ifact[i - 1] = ifact[i] * i % MOD; } ll operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n] * ifact[k] % MOD * ifact[n - k] % MOD; } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); srand((unsigned)time(NULL)); COM c(1000010); ll K; cin >> K; string S; cin >> S; ll N = S.size(); ll ans = 0LL; for (int i = N; i <= N + K; i++) { ans += c(i - 1, N - 1) * modbeki(25, i - N) % MOD * modbeki(26, N + K - i) % MOD; ans %= MOD; } cout << ans << endl; }
#include <bits/stdc++.h> #define ALL(a) (a).begin(), (a).end() #define sz(x) int(x.size()) using namespace std; typedef long long ll; typedef pair<int, int> P; typedef pair<long long, long long> Pll; typedef vector<int> vi; typedef vector<vector<int>> vvi; typedef vector<long long> vll; typedef vector<vector<long long>> vvll; 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; } const long long INF = 1LL << 60; const int INT_INF = 1 << 30; const double PI = acos(-1.0); #define MOD 1000000007LL #define endl "\n" ll modbeki(ll x, ll n) { ll res = 1LL; while (n > 0) { if (n & 1) { res *= x % MOD; res %= MOD; } x = x * x % MOD; n >>= 1; } return res % MOD; } struct COM { ll modpow(ll x, ll nn) { ll res = 1; while (nn > 0) { if (nn & 1) res = res * x % MOD; x = x * x % MOD; nn >>= 1; } return res; } vll fact, ifact; COM(ll n) : fact(n + 1), ifact(n + 1) { assert(n < MOD); fact[0] = 1LL; for (ll i = 1; i <= n; i++) fact[i] = fact[i - 1] * i % MOD; ifact[n] = modpow(fact[n], MOD - 2); for (ll i = n; i >= 1; i--) ifact[i - 1] = ifact[i] * i % MOD; } ll operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n] * ifact[k] % MOD * ifact[n - k] % MOD; } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); srand((unsigned)time(NULL)); COM c(2000010); ll K; cin >> K; string S; cin >> S; ll N = S.size(); ll ans = 0LL; for (int i = N; i <= N + K; i++) { ans += c(i - 1, N - 1) * modbeki(25, i - N) % MOD * modbeki(26, N + K - i) % MOD; ans %= MOD; } cout << ans << endl; }
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p02632
C++
Runtime Error
#include <algorithm> #include <iostream> #include <queue> #include <stack> #include <string> #include <unordered_map> #include <unordered_set> #include <vector> using namespace std; const int MAX = 1000001; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } long long modpow(long long a, long long n, long long mod) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } int K; string s; int main() { COMinit(); cin >> K >> s; int S = static_cast<int>(s.size()); int res = 0; for (int i = 0; i <= K; i++) { int tmp = (modpow(25, K - i, MOD) * modpow(26, i, MOD)) % MOD; tmp = (tmp * COM(S + K - i - 1, S - 1)) % MOD; res = (res + tmp) % MOD; } cout << res << endl; return 0; }
#include <algorithm> #include <iostream> #include <queue> #include <stack> #include <string> #include <unordered_map> #include <unordered_set> #include <vector> using namespace std; const int MAX = 3000000; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } long long modpow(long long a, long long n, long long mod) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } int K; string s; int main() { COMinit(); cin >> K >> s; int S = static_cast<int>(s.size()); int res = 0; for (int i = 0; i <= K; i++) { int tmp = (modpow(25, K - i, MOD) * modpow(26, i, MOD)) % MOD; tmp = (tmp * COM(S + K - i - 1, S - 1)) % MOD; res = (res + tmp) % MOD; } cout << res << endl; return 0; }
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p02632
C++
Runtime Error
/** * author: boutarou * created: 21.06.2020 21:30:14 **/ #include <bits/stdc++.h> using namespace std; #define rep(i, n) for (int i = 0; i < int(n); i++) #define fcout cout << fixed << setprecision(15) using lint = long long; using P = pair<int, int>; template <class T> inline bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } template <class T> inline bool chmin(T &a, const T &b) { if (b < a) { a = b; return 1; } return 0; } const double PI = 3.1415926535897932; const lint MOD = 1e9 + 7; long long mod_pow(long long n, long long p, long long m) { if (p == 0) return 1; if (p % 2 == 0) { long long t = mod_pow(n, p / 2, m); return (t * t) % m; } return n * mod_pow(n, p - 1, m) % m; } long long modinv(long long a, long long mod) { return mod_pow(a, mod - 2, mod); } const int MAX = 1000005; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } lint k; lint n; string s; lint ans; lint rest; int main() { cin.tie(0); ios::sync_with_stdio(false); cin >> k >> s; n = k + s.size(); ans = mod_pow(26, n, MOD); COMinit(); rep(i, s.size()) { rest += mod_pow(25, n - i, MOD) * COM(n, i) % MOD; rest %= MOD; } lint out = ans - rest; out %= MOD; if (out < 0) out += MOD; cout << out << endl; return 0; }
/** * author: boutarou * created: 21.06.2020 21:30:14 **/ #include <bits/stdc++.h> using namespace std; #define rep(i, n) for (int i = 0; i < int(n); i++) #define fcout cout << fixed << setprecision(15) using lint = long long; using P = pair<int, int>; template <class T> inline bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } template <class T> inline bool chmin(T &a, const T &b) { if (b < a) { a = b; return 1; } return 0; } const double PI = 3.1415926535897932; const lint MOD = 1e9 + 7; long long mod_pow(long long n, long long p, long long m) { if (p == 0) return 1; if (p % 2 == 0) { long long t = mod_pow(n, p / 2, m); return (t * t) % m; } return n * mod_pow(n, p - 1, m) % m; } long long modinv(long long a, long long mod) { return mod_pow(a, mod - 2, mod); } const lint MAX = 2000005; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } lint k; lint n; string s; lint ans; lint rest; int main() { cin.tie(0); ios::sync_with_stdio(false); cin >> k >> s; n = k + s.size(); ans = mod_pow(26, n, MOD); COMinit(); rep(i, s.size()) { rest += mod_pow(25, n - i, MOD) * COM(n, i) % MOD; rest %= MOD; } lint out = ans - rest; out %= MOD; if (out < 0) out += MOD; cout << out << endl; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using Int = long long; const Int MOD = 1000000007; const Int MAX = 1000100; Int fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = finv[0] = finv[1] = inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } Int COM(int n, int k) { if (n < k || n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } Int POW(Int n, Int m) { if (m == 0) return 1; if (m % 2 == 0) return POW(n * n % MOD, m / 2); return n * POW(n, m - 1) % MOD; } int main() { COMinit(); int K; cin >> K; string S; cin >> S; int N = S.size(); vector<Int> A(K + 1), B(K + 1); for (int i = 0; i <= K; i++) { A[i] = COM(N - 1 + i, i) * POW(25, i) % MOD; } for (int i = 0; i <= K; i++) { B[i] = A[i] + (i > 0 ? B[i - 1] * 26 : 0); B[i] %= MOD; } cout << B[K] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using Int = long long; const Int MOD = 1000000007; const Int MAX = 2000100; Int fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = finv[0] = finv[1] = inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } Int COM(int n, int k) { if (n < k || n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } Int POW(Int n, Int m) { if (m == 0) return 1; if (m % 2 == 0) return POW(n * n % MOD, m / 2); return n * POW(n, m - 1) % MOD; } int main() { COMinit(); int K; cin >> K; string S; cin >> S; int N = S.size(); vector<Int> A(K + 1), B(K + 1); for (int i = 0; i <= K; i++) { A[i] = COM(N - 1 + i, i) * POW(25, i) % MOD; } for (int i = 0; i <= K; i++) { B[i] = A[i] + (i > 0 ? B[i - 1] * 26 : 0); B[i] %= MOD; } cout << B[K] << endl; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; // a^n mod を計算する long long modpow(long long a, long long n, long long mod) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } const int MAX = 1000001; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } int main() { long long ans = 0; int K; // int MOD = 1000000007; string S; cin >> K >> S; int l = S.size(); COMinit(); for (int i = 0; i <= K; i++) { ans = (ans + ((COM(i + l - 1, i) * modpow(25, i, MOD)) % MOD) * modpow(26, K - i, MOD)) % MOD; // cout << ans << endl; } cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; // a^n mod を計算する long long modpow(long long a, long long n, long long mod) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } const int MAX = 2000001; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } int main() { long long ans = 0; int K; // int MOD = 1000000007; string S; cin >> K >> S; int l = S.size(); COMinit(); for (int i = 0; i <= K; i++) { ans = (ans + ((COM(i + l - 1, i) * modpow(25, i, MOD)) % MOD) * modpow(26, K - i, MOD)) % MOD; // cout << ans << endl; } cout << ans << endl; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; // 型定義 typedef long long ll; typedef pair<ll, ll> P; // forループ #define REP(i, n) for (ll i = 0; i < (ll)(n); ++i) // 定数宣言 const int INF = 1e9; const int MOD = 1e9 + 7; const ll LINF = 1e18; // グラフ表現 using Graph = vector<vector<int>>; // グラフの辺表現 using Edge = map<pair<int, int>, int>; // n次元配列の初期化。第2引数の型のサイズごとに初期化していく。 template <typename A, size_t N, typename T> void Fill(A (&array)[N], const T &val) { std::fill((T *)array, (T *)(array + N), val); } // 最大公約数 ll gcd(ll a, ll b) { if (a % b == 0) return (b); else return (gcd(b, a % b)); } // 最小公倍数 ll lcm(ll a, ll b) { return a * b / gcd(a, b); } const int MAX = 1000010; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } // コンビネーションを計算する関数 ll modpow(ll a, ll n) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % MOD; a = a * a % MOD; n >>= 1; } return res; } int main() { cout << fixed << setprecision(15); ll K; string S; cin >> K; cin >> S; ll N = S.length(); // 前処理 COMinit(); ll ans = 0; for (ll i = 0; i <= K; i++) { ans += (((modpow(26, K - i) * modpow(25, i)) % MOD) * COM(N - 1 + i, i)) % MOD; ans = ans % MOD; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; // 型定義 typedef long long ll; typedef pair<ll, ll> P; // forループ #define REP(i, n) for (ll i = 0; i < (ll)(n); ++i) // 定数宣言 const int INF = 1e9; const int MOD = 1e9 + 7; const ll LINF = 1e18; // グラフ表現 using Graph = vector<vector<int>>; // グラフの辺表現 using Edge = map<pair<int, int>, int>; // n次元配列の初期化。第2引数の型のサイズごとに初期化していく。 template <typename A, size_t N, typename T> void Fill(A (&array)[N], const T &val) { std::fill((T *)array, (T *)(array + N), val); } // 最大公約数 ll gcd(ll a, ll b) { if (a % b == 0) return (b); else return (gcd(b, a % b)); } // 最小公倍数 ll lcm(ll a, ll b) { return a * b / gcd(a, b); } const int MAX = 10000000; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } // コンビネーションを計算する関数 ll modpow(ll a, ll n) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % MOD; a = a * a % MOD; n >>= 1; } return res; } int main() { cout << fixed << setprecision(15); ll K; string S; cin >> K; cin >> S; ll N = S.length(); // 前処理 COMinit(); ll ans = 0; for (ll i = 0; i <= K; i++) { ans += (((modpow(26, K - i) * modpow(25, i)) % MOD) * COM(N - 1 + i, i)) % MOD; ans = ans % MOD; } cout << ans << endl; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> template <class T> inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } else { return false; } } template <class T> inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } else { return false; } } #define ll long long #define double long double #define rep(i, n) for (int i = 0; i < (n); i++) #define REP(i, n) for (int i = 1; i <= (n); i++) #define mod (ll)(1e9 + 7) #define inf (ll)(3e18 + 7) #define pi (double)acos(-1.0) #define P pair<int, int> #define PiP pair<int, pair<int, int>> #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() using namespace std; const int MAX = 1100000; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod % i] * (mod / i) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } ll modpow(ll a, ll n, ll modo) { ll res = 1; while (n > 0) { if (n & 1) res = res * a % modo; a = a * a % modo; n >>= 1; } return res; } int main() { ll k, ans = 0; string s; cin >> k >> s; COMinit(); rep(i, k + 1) { ans += ((COM(s.size() + k - i - 1, s.size() - 1) * modpow(25, k - i, mod) % mod) * modpow(26, i, mod)) % mod; ans %= mod; } cout << ans << endl; }
#include <bits/stdc++.h> template <class T> inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } else { return false; } } template <class T> inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } else { return false; } } #define ll long long #define double long double #define rep(i, n) for (int i = 0; i < (n); i++) #define REP(i, n) for (int i = 1; i <= (n); i++) #define mod (ll)(1e9 + 7) #define inf (ll)(3e18 + 7) #define pi (double)acos(-1.0) #define P pair<int, int> #define PiP pair<int, pair<int, int>> #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() using namespace std; const int MAX = 5000000; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod % i] * (mod / i) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } ll modpow(ll a, ll n, ll modo) { ll res = 1; while (n > 0) { if (n & 1) res = res * a % modo; a = a * a % modo; n >>= 1; } return res; } int main() { ll k, ans = 0; string s; cin >> k >> s; COMinit(); rep(i, k + 1) { ans += ((COM(s.size() + k - i - 1, s.size() - 1) * modpow(25, k - i, mod) % mod) * modpow(26, i, mod)) % mod; ans %= mod; } cout << ans << endl; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> #define rep(i, n) for (int i = 0; i < n; i++) #define PI 3.14159265359 #define INF 1000100100 #define MOD 1000000007 #define all(x) (x).begin(), (x).end() typedef long long ll; #define PP pair<P, P> using namespace std; // const int mod = 998244353; const int mod = 1000000007; struct mint { ll x; // typedef long long ll; mint(ll x = 0) : x((x % mod + mod) % mod) {} mint &operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint &operator-=(const mint a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { mint res(*this); return res += a; } mint operator-(const mint a) const { mint res(*this); return res -= a; } mint operator*(const mint a) const { mint res(*this); return res *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod - 2); } mint &operator/=(const mint a) { return (*this) *= a.inv(); } mint operator/(const mint a) const { mint res(*this); return res /= a; } }; // 出力は.xで!!!! struct combination { vector<mint> fact, ifact; combination(int n) : fact(n + 1), ifact(n + 1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n] * ifact[k] * ifact[n - k]; } }; int main() { int k; string s; cin >> k >> s; int sl = s.length(); combination c(1000010); mint ans = 0; mint fund = 1; rep(i, k) { fund *= 26; } mint fund2 = 1; rep(i, k + 1) { mint tmp = 0; tmp += fund2 * c(sl + i - 1, i); tmp *= fund; fund /= 26; fund2 *= 25; ans += tmp; } cout << ans.x << endl; return 0; }
#include <bits/stdc++.h> #define rep(i, n) for (int i = 0; i < n; i++) #define PI 3.14159265359 #define INF 1000100100 #define MOD 1000000007 #define all(x) (x).begin(), (x).end() typedef long long ll; #define PP pair<P, P> using namespace std; // const int mod = 998244353; const int mod = 1000000007; struct mint { ll x; // typedef long long ll; mint(ll x = 0) : x((x % mod + mod) % mod) {} mint &operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint &operator-=(const mint a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { mint res(*this); return res += a; } mint operator-(const mint a) const { mint res(*this); return res -= a; } mint operator*(const mint a) const { mint res(*this); return res *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod - 2); } mint &operator/=(const mint a) { return (*this) *= a.inv(); } mint operator/(const mint a) const { mint res(*this); return res /= a; } }; // 出力は.xで!!!! struct combination { vector<mint> fact, ifact; combination(int n) : fact(n + 1), ifact(n + 1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n] * ifact[k] * ifact[n - k]; } }; int main() { int k; string s; cin >> k >> s; int sl = s.length(); combination c(2000010); mint ans = 0; mint fund = 1; rep(i, k) { fund *= 26; } mint fund2 = 1; rep(i, k + 1) { mint tmp = 0; tmp += fund2 * c(sl + i - 1, i); tmp *= fund; fund /= 26; fund2 *= 25; ans += tmp; } cout << ans.x << endl; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; const int maxn = 3e5 + 10; const int mod = 1e9 + 7; int n, m; int fac[maxn], ifac[maxn]; char s[maxn]; int mul(int x, int y) { return 1ll * x * y % mod; } int fpw(int x, int y) { int r = 1; for (int i = y; i; i >>= 1, x = mul(x, x)) if (i & 1) r = mul(r, x); return r; } int inv(int x) { return fpw(x, mod - 2); } int mul(int x, int y, int z) { return mul(x, mul(y, z)); } int C(int n, int m) { return mul(fac[n], ifac[m], ifac[n - m]); } int read() { int x; scanf("%d", &x); return x; } int main() { #ifdef LOCAL freopen("1.in", "r", stdin); #endif n = read(); scanf("%s", s); m = strlen(s); fac[0] = ifac[0] = 1; for (int i = 1; i <= n + m; ++i) fac[i] = mul(fac[i - 1], i), ifac[i] = mul(ifac[i - 1], inv(i)); // new length = m + n int ans = 0; for (int i = 0; i <= n; ++i) { ans += mul(mul(C(m + i - 1, i), fpw(25, i)), fpw(26, n - i)); ans %= mod; } cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e6 + 10; const int mod = 1e9 + 7; int n, m; int fac[maxn], ifac[maxn]; char s[maxn]; int mul(int x, int y) { return 1ll * x * y % mod; } int fpw(int x, int y) { int r = 1; for (int i = y; i; i >>= 1, x = mul(x, x)) if (i & 1) r = mul(r, x); return r; } int inv(int x) { return fpw(x, mod - 2); } int mul(int x, int y, int z) { return mul(x, mul(y, z)); } int C(int n, int m) { return mul(fac[n], ifac[m], ifac[n - m]); } int read() { int x; scanf("%d", &x); return x; } int main() { #ifdef LOCAL freopen("1.in", "r", stdin); #endif n = read(); scanf("%s", s); m = strlen(s); fac[0] = ifac[0] = 1; for (int i = 1; i <= n + m; ++i) fac[i] = mul(fac[i - 1], i), ifac[i] = mul(ifac[i - 1], inv(i)); // new length = m + n int ans = 0; for (int i = 0; i <= n; ++i) { ans += mul(mul(C(m + i - 1, i), fpw(25, i)), fpw(26, n - i)); ans %= mod; } cout << ans << endl; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using ll = long long; using P = pair<ll, ll>; using Graph = vector<vector<ll>>; #define rep(i, n) for (ll i = 0; i < (ll)(n); i++) #define rep2(i, m, n) for (ll i = m; i < (ll)(n); i++) #define rrep(i, n, m) for (ll i = n; i >= (ll)(m); i--) const int dx[4] = {1, 0, -1, 0}; const int dy[4] = {0, 1, 0, -1}; const int ddx[8] = {0, 1, 1, 1, 0, -1, -1, -1}; const int ddy[8] = {1, 1, 0, -1, -1, -1, 0, 1}; const ll MOD = 1000000007; const ll INF = 1000000000000000000L; #ifdef __DEBUG /** * For DEBUG * https://github.com/ta7uw/cpp-pyprint */ #include "cpp-pyprint/pyprint.h" #endif class mint { public: long long x; constexpr mint(long long x = 0) : x((x % MOD + MOD) % MOD) {} constexpr mint operator-() const { return mint(-x); } constexpr mint &operator+=(const mint &rhs) { if ((x += rhs.x) >= MOD) x -= MOD; return *this; } constexpr mint &operator-=(const mint &rhs) { if ((x += MOD - rhs.x) >= MOD) x -= MOD; return *this; } constexpr mint &operator*=(const mint &rhs) { (x *= rhs.x) %= MOD; return *this; } constexpr mint operator+(const mint &rhs) const { mint res(*this); return res += rhs; } constexpr mint operator-(const mint &rhs) const { mint res(*this); return res -= rhs; } constexpr mint operator*(const mint &rhs) const { mint res(*this); return res *= rhs; } [[nodiscard]] constexpr mint pow(long long t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } [[nodiscard]] constexpr mint inv() const { return pow(MOD - 2); } mint &operator/=(mint rhs) { return *this *= rhs.inv(); } mint operator/(const mint rhs) const { return mint(*this) /= rhs; } constexpr bool operator==(const mint &rhs) const noexcept { return this->x == rhs.x; } constexpr bool operator!=(const mint &rhs) const noexcept { return this->x != rhs.x; } bool operator<(const mint &rhs) const noexcept { return this->x < rhs.x; } bool operator>(const mint &rhs) const noexcept { return this->x > rhs.x; } bool operator<=(const mint &rhs) const noexcept { return this->x <= rhs.x; } bool operator>=(const mint &rhs) const noexcept { return this->x >= rhs.x; } friend istream &operator>>(istream &is, mint &a) { long long t; is >> t; a = mint(t); return is; } friend ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } }; const int MAX = 510000; long long fac[MAX], finv[MAX], inv[MAX]; bool initialized = false; /** * @fn * This function must be called at first. */ void combination_init() { initialized = true; fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } /** * @fn * Calculates the combination ( nCK % p: N choose K mod p). * * @brief constraint: 1 ≤ k ≤ n ≤ 10^7 * @return nCK % MOD */ long long combination(int n, int k) { assert(initialized); if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } /** * @fn * Calculates the factorial of the number. * * @return N! % MOD */ long long factorial(int n) { assert(initialized); if (n < 0) return 0; return fac[n] % MOD; } /** * @fn * Calculates the combination ( nCK % p: N choose K mod p). * * @brief constraint: 1 ≤ k ≤ 10^7 and 1 ≤ n ≤ 10^9 * @return nCK % MOD */ long long combination2(int n, int k) { assert(initialized); if (n < k) return 0; if (n < 0 || k < 0) return 0; ll res = 1; k = min(k, n - k); for (long long x = 1; x <= k; x++) { res *= (n - x + 1); res %= MOD; res *= inv[x]; res %= MOD; } return res; } void solve() { ll K; string S; cin >> K >> S; mint ans = 0; combination_init(); ll N = S.size() + K; rep(i, K + 1) { ans += mint(26).pow(i) * mint(25).pow(K - i) * combination(N - i - 1, S.size() - 1); } cout << ans << '\n'; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using P = pair<ll, ll>; using Graph = vector<vector<ll>>; #define rep(i, n) for (ll i = 0; i < (ll)(n); i++) #define rep2(i, m, n) for (ll i = m; i < (ll)(n); i++) #define rrep(i, n, m) for (ll i = n; i >= (ll)(m); i--) const int dx[4] = {1, 0, -1, 0}; const int dy[4] = {0, 1, 0, -1}; const int ddx[8] = {0, 1, 1, 1, 0, -1, -1, -1}; const int ddy[8] = {1, 1, 0, -1, -1, -1, 0, 1}; const ll MOD = 1000000007; const ll INF = 1000000000000000000L; #ifdef __DEBUG /** * For DEBUG * https://github.com/ta7uw/cpp-pyprint */ #include "cpp-pyprint/pyprint.h" #endif class mint { public: long long x; constexpr mint(long long x = 0) : x((x % MOD + MOD) % MOD) {} constexpr mint operator-() const { return mint(-x); } constexpr mint &operator+=(const mint &rhs) { if ((x += rhs.x) >= MOD) x -= MOD; return *this; } constexpr mint &operator-=(const mint &rhs) { if ((x += MOD - rhs.x) >= MOD) x -= MOD; return *this; } constexpr mint &operator*=(const mint &rhs) { (x *= rhs.x) %= MOD; return *this; } constexpr mint operator+(const mint &rhs) const { mint res(*this); return res += rhs; } constexpr mint operator-(const mint &rhs) const { mint res(*this); return res -= rhs; } constexpr mint operator*(const mint &rhs) const { mint res(*this); return res *= rhs; } [[nodiscard]] constexpr mint pow(long long t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } [[nodiscard]] constexpr mint inv() const { return pow(MOD - 2); } mint &operator/=(mint rhs) { return *this *= rhs.inv(); } mint operator/(const mint rhs) const { return mint(*this) /= rhs; } constexpr bool operator==(const mint &rhs) const noexcept { return this->x == rhs.x; } constexpr bool operator!=(const mint &rhs) const noexcept { return this->x != rhs.x; } bool operator<(const mint &rhs) const noexcept { return this->x < rhs.x; } bool operator>(const mint &rhs) const noexcept { return this->x > rhs.x; } bool operator<=(const mint &rhs) const noexcept { return this->x <= rhs.x; } bool operator>=(const mint &rhs) const noexcept { return this->x >= rhs.x; } friend istream &operator>>(istream &is, mint &a) { long long t; is >> t; a = mint(t); return is; } friend ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } }; const int MAX = 5100000; long long fac[MAX], finv[MAX], inv[MAX]; bool initialized = false; /** * @fn * This function must be called at first. */ void combination_init() { initialized = true; fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } /** * @fn * Calculates the combination ( nCK % p: N choose K mod p). * * @brief constraint: 1 ≤ k ≤ n ≤ 10^7 * @return nCK % MOD */ long long combination(int n, int k) { assert(initialized); if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } /** * @fn * Calculates the factorial of the number. * * @return N! % MOD */ long long factorial(int n) { assert(initialized); if (n < 0) return 0; return fac[n] % MOD; } /** * @fn * Calculates the combination ( nCK % p: N choose K mod p). * * @brief constraint: 1 ≤ k ≤ 10^7 and 1 ≤ n ≤ 10^9 * @return nCK % MOD */ long long combination2(int n, int k) { assert(initialized); if (n < k) return 0; if (n < 0 || k < 0) return 0; ll res = 1; k = min(k, n - k); for (long long x = 1; x <= k; x++) { res *= (n - x + 1); res %= MOD; res *= inv[x]; res %= MOD; } return res; } void solve() { ll K; string S; cin >> K >> S; mint ans = 0; combination_init(); ll N = S.size() + K; rep(i, K + 1) { ans += mint(26).pow(i) * mint(25).pow(K - i) * combination(N - i - 1, S.size() - 1); } cout << ans << '\n'; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); solve(); return 0; }
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p02632
C++
Runtime Error
#include <algorithm> #include <bitset> #include <cmath> #include <deque> #include <functional> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <set> #include <string> #include <vector> using namespace std; #define REP(i, n) for (ll(i) = (0); (i) < (n); ++i) #define REV(i, n) for (ll(i) = (n)-1; (i) >= 0; --i) #define PB push_back #define EB emplace_back #define MP make_pair #define FI first #define SE second #define SHOW1d(v, n) \ { \ REP(WW, n) cerr << v[WW] << ' '; \ cerr << endl; \ } #define SHOW2d(v, WW, HH) \ { \ REP(W_, WW) { \ REP(H_, HH) cerr << v[W_][H_] << ' '; \ cerr << endl; \ } \ } #define ALL(v) v.begin(), v.end() #define Decimal fixed << setprecision(20) #define INF 1000000000 #define LLINF 1000000000000000000LL #define MOD 1000000007 typedef long long ll; typedef pair<ll, ll> P; // a^b % MOD long long mod_pow(ll a, ll b) { long long ret = 1; long long c = a; for (int i = 0; i <= 60; i++) { if (b & (1LL << i)) ret = (ret * c) % MOD; c = (c * c) % MOD; } return ret; } // aをbで割る long long mod_div(long long a, long long b) { long long tmp = MOD - 2, c = b, ret = 1; while (tmp > 0) { if (tmp & 1) { ret *= c; ret %= MOD; } c *= c; c %= MOD; tmp >>= 1; } return a * ret % MOD; } #define MAX_K 1111111 vector<long long> fact(MAX_K); long long combination(long long n, long long r) { if (n < r || n < 0 || r < 0) return 0; if (fact[0] != 1) { fact[0] = 1; for (long long i = 1; i < MAX_K; i++) fact[i] = (fact[i - 1] * i) % MOD; } long long ret = fact[n]; long long tmp = (fact[r] * fact[n - r]) % MOD; return mod_div(ret, tmp); } int main() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(false); ll n; cin >> n; string str; cin >> str; ll m = str.size(); ll ans = 0; for (ll i = m; i <= n + m; i++) { ll seica = combination(i - 1, m - 1); seica = seica * mod_pow(25, i - m) % MOD; seica = seica * mod_pow(26, n + m - i) % MOD; ans = (ans + seica) % MOD; // cout << "seica: " << seica << endl; } cout << ans << endl; return 0; }
#include <algorithm> #include <bitset> #include <cmath> #include <deque> #include <functional> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <set> #include <string> #include <vector> using namespace std; #define REP(i, n) for (ll(i) = (0); (i) < (n); ++i) #define REV(i, n) for (ll(i) = (n)-1; (i) >= 0; --i) #define PB push_back #define EB emplace_back #define MP make_pair #define FI first #define SE second #define SHOW1d(v, n) \ { \ REP(WW, n) cerr << v[WW] << ' '; \ cerr << endl; \ } #define SHOW2d(v, WW, HH) \ { \ REP(W_, WW) { \ REP(H_, HH) cerr << v[W_][H_] << ' '; \ cerr << endl; \ } \ } #define ALL(v) v.begin(), v.end() #define Decimal fixed << setprecision(20) #define INF 1000000000 #define LLINF 1000000000000000000LL #define MOD 1000000007 typedef long long ll; typedef pair<ll, ll> P; // a^b % MOD long long mod_pow(ll a, ll b) { long long ret = 1; long long c = a; for (int i = 0; i <= 60; i++) { if (b & (1LL << i)) ret = (ret * c) % MOD; c = (c * c) % MOD; } return ret; } // aをbで割る long long mod_div(long long a, long long b) { long long tmp = MOD - 2, c = b, ret = 1; while (tmp > 0) { if (tmp & 1) { ret *= c; ret %= MOD; } c *= c; c %= MOD; tmp >>= 1; } return a * ret % MOD; } #define MAX_K 2222222 vector<long long> fact(MAX_K); long long combination(long long n, long long r) { if (n < r || n < 0 || r < 0) return 0; if (fact[0] != 1) { fact[0] = 1; for (long long i = 1; i < MAX_K; i++) fact[i] = (fact[i - 1] * i) % MOD; } long long ret = fact[n]; long long tmp = (fact[r] * fact[n - r]) % MOD; return mod_div(ret, tmp); } int main() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(false); ll n; cin >> n; string str; cin >> str; ll m = str.size(); ll ans = 0; for (ll i = m; i <= n + m; i++) { ll seica = combination(i - 1, m - 1); seica = seica * mod_pow(25, i - m) % MOD; seica = seica * mod_pow(26, n + m - i) % MOD; ans = (ans + seica) % MOD; // cout << "seica: " << seica << endl; } cout << ans << endl; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using ll = long long; using P = pair<ll, ll>; using Graph = vector<vector<ll>>; #define rep(i, n) for (ll i = 0; i < (ll)(n); i++) #define rep2(i, m, n) for (ll i = m; i < (ll)(n); i++) #define rrep(i, n, m) for (ll i = n; i >= (ll)(m); i--) const int dx[4] = {1, 0, -1, 0}; const int dy[4] = {0, 1, 0, -1}; const int ddx[8] = {0, 1, 1, 1, 0, -1, -1, -1}; const int ddy[8] = {1, 1, 0, -1, -1, -1, 0, 1}; const ll MOD = 1000000007; const ll INF = 1000000000000000000L; #ifdef __DEBUG /** * For DEBUG * https://github.com/ta7uw/cpp-pyprint */ #include "cpp-pyprint/pyprint.h" #endif class mint { public: long long x; constexpr mint(long long x = 0) : x((x % MOD + MOD) % MOD) {} constexpr mint operator-() const { return mint(-x); } constexpr mint &operator+=(const mint &rhs) { if ((x += rhs.x) >= MOD) x -= MOD; return *this; } constexpr mint &operator-=(const mint &rhs) { if ((x += MOD - rhs.x) >= MOD) x -= MOD; return *this; } constexpr mint &operator*=(const mint &rhs) { (x *= rhs.x) %= MOD; return *this; } constexpr mint operator+(const mint &rhs) const { mint res(*this); return res += rhs; } constexpr mint operator-(const mint &rhs) const { mint res(*this); return res -= rhs; } constexpr mint operator*(const mint &rhs) const { mint res(*this); return res *= rhs; } [[nodiscard]] constexpr mint pow(long long t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } [[nodiscard]] constexpr mint inv() const { return pow(MOD - 2); } mint &operator/=(mint rhs) { return *this *= rhs.inv(); } mint operator/(const mint rhs) const { return mint(*this) /= rhs; } constexpr bool operator==(const mint &rhs) const noexcept { return this->x == rhs.x; } constexpr bool operator!=(const mint &rhs) const noexcept { return this->x != rhs.x; } bool operator<(const mint &rhs) const noexcept { return this->x < rhs.x; } bool operator>(const mint &rhs) const noexcept { return this->x > rhs.x; } bool operator<=(const mint &rhs) const noexcept { return this->x <= rhs.x; } bool operator>=(const mint &rhs) const noexcept { return this->x >= rhs.x; } friend istream &operator>>(istream &is, mint &a) { long long t; is >> t; a = mint(t); return is; } friend ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } }; const int MAX = 510000; long long fac[MAX], finv[MAX], inv[MAX]; bool initialized = false; /** * @fn * This function must be called at first. */ void combination_init() { initialized = true; fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } /** * @fn * Calculates the combination ( nCK % p: N choose K mod p). * * @brief constraint: 1 ≤ k ≤ n ≤ 10^7 * @return nCK % MOD */ long long combination(int n, int k) { assert(initialized); if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } /** * @fn * Calculates the factorial of the number. * * @return N! % MOD */ long long factorial(int n) { assert(initialized); if (n < 0) return 0; return fac[n] % MOD; } /** * @fn * Calculates the combination ( nCK % p: N choose K mod p). * * @brief constraint: 1 ≤ k ≤ 10^7 and 1 ≤ n ≤ 10^9 * @return nCK % MOD */ long long combination2(int n, int k) { assert(initialized); if (n < k) return 0; if (n < 0 || k < 0) return 0; ll res = 1; k = min(k, n - k); for (long long x = 1; x <= k; x++) { res *= (n - x + 1); res %= MOD; res *= inv[x]; res %= MOD; } return res; } void solve() { ll K; string S; combination_init(); cin >> K >> S; mint ans = 0; ll N = S.size(); rep(i, K + 1) { ans += mint(25).pow(K - i) * combination(N + K - i - 1, N - 1) * mint(26).pow(i); } cout << ans << '\n'; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using P = pair<ll, ll>; using Graph = vector<vector<ll>>; #define rep(i, n) for (ll i = 0; i < (ll)(n); i++) #define rep2(i, m, n) for (ll i = m; i < (ll)(n); i++) #define rrep(i, n, m) for (ll i = n; i >= (ll)(m); i--) const int dx[4] = {1, 0, -1, 0}; const int dy[4] = {0, 1, 0, -1}; const int ddx[8] = {0, 1, 1, 1, 0, -1, -1, -1}; const int ddy[8] = {1, 1, 0, -1, -1, -1, 0, 1}; const ll MOD = 1000000007; const ll INF = 1000000000000000000L; #ifdef __DEBUG /** * For DEBUG * https://github.com/ta7uw/cpp-pyprint */ #include "cpp-pyprint/pyprint.h" #endif class mint { public: long long x; constexpr mint(long long x = 0) : x((x % MOD + MOD) % MOD) {} constexpr mint operator-() const { return mint(-x); } constexpr mint &operator+=(const mint &rhs) { if ((x += rhs.x) >= MOD) x -= MOD; return *this; } constexpr mint &operator-=(const mint &rhs) { if ((x += MOD - rhs.x) >= MOD) x -= MOD; return *this; } constexpr mint &operator*=(const mint &rhs) { (x *= rhs.x) %= MOD; return *this; } constexpr mint operator+(const mint &rhs) const { mint res(*this); return res += rhs; } constexpr mint operator-(const mint &rhs) const { mint res(*this); return res -= rhs; } constexpr mint operator*(const mint &rhs) const { mint res(*this); return res *= rhs; } [[nodiscard]] constexpr mint pow(long long t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } [[nodiscard]] constexpr mint inv() const { return pow(MOD - 2); } mint &operator/=(mint rhs) { return *this *= rhs.inv(); } mint operator/(const mint rhs) const { return mint(*this) /= rhs; } constexpr bool operator==(const mint &rhs) const noexcept { return this->x == rhs.x; } constexpr bool operator!=(const mint &rhs) const noexcept { return this->x != rhs.x; } bool operator<(const mint &rhs) const noexcept { return this->x < rhs.x; } bool operator>(const mint &rhs) const noexcept { return this->x > rhs.x; } bool operator<=(const mint &rhs) const noexcept { return this->x <= rhs.x; } bool operator>=(const mint &rhs) const noexcept { return this->x >= rhs.x; } friend istream &operator>>(istream &is, mint &a) { long long t; is >> t; a = mint(t); return is; } friend ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } }; const int MAX = 2000000; long long fac[MAX], finv[MAX], inv[MAX]; bool initialized = false; /** * @fn * This function must be called at first. */ void combination_init() { initialized = true; fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } /** * @fn * Calculates the combination ( nCK % p: N choose K mod p). * * @brief constraint: 1 ≤ k ≤ n ≤ 10^7 * @return nCK % MOD */ long long combination(int n, int k) { assert(initialized); if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } /** * @fn * Calculates the factorial of the number. * * @return N! % MOD */ long long factorial(int n) { assert(initialized); if (n < 0) return 0; return fac[n] % MOD; } /** * @fn * Calculates the combination ( nCK % p: N choose K mod p). * * @brief constraint: 1 ≤ k ≤ 10^7 and 1 ≤ n ≤ 10^9 * @return nCK % MOD */ long long combination2(int n, int k) { assert(initialized); if (n < k) return 0; if (n < 0 || k < 0) return 0; ll res = 1; k = min(k, n - k); for (long long x = 1; x <= k; x++) { res *= (n - x + 1); res %= MOD; res *= inv[x]; res %= MOD; } return res; } void solve() { ll K; string S; combination_init(); cin >> K >> S; mint ans = 0; ll N = S.size(); rep(i, K + 1) { ans += mint(25).pow(K - i) * combination(N + K - i - 1, N - 1) * mint(26).pow(i); } cout << ans << '\n'; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); solve(); return 0; }
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p02632
C++
Runtime Error
// #pragma GCC optimize("Ofast") // #pragma GCC optimize ("unroll-loops") // #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #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; typedef long long int ll; #define endl '\n' #define ld long double #define all(a) a.begin(), a.end() #define int long long #define pb push_back #define pii pair<int, int> #define ff first #define ss second #define sz(v) (int)v.size() #define UB upper_bound #define LB lower_bound #define BP(x) __builtin_popcountll(x) #define OST \ tree<pii, null_type, less<pii>, rb_tree_tag, \ tree_order_statistics_node_update> mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); int getRand(int l, int r) { uniform_int_distribution<int> uid(l, r); return uid(rng); } const int INF = 1e18 + 0; const int mod = 1e9 + 7; const int mex = 1e6 + 0; int fact[mex + 5], inv[mex + 5]; int toPower(int a, int p) { int res = 1; while (p) { if (p & 1) res = ll(res) * a % mod; p >>= 1; a = ll(a) * a % mod; } return res; } int Inv(int x) { return toPower(x, mod - 2); } int add(int a, int b) { a %= mod; b %= mod; return ((a + b) % mod); } int sub(int a, int b) { a %= mod; b %= mod; return ((a - b + mod) % mod); } int mul(int a, int b) { a %= mod; b %= mod; return ((a * b) % mod); } void initialize() { inv[0] = Inv(fact[0]); fact[0] = inv[0] = 1; for (int i = 1; i <= mex; i++) { fact[i] = (ll(i) * fact[i - 1]) % mod; inv[i] = Inv(fact[i]); } } int C(int n, int k) { if (n < 0 || k < 0 || k > n) return 0; return ll(fact[n]) * inv[k] % mod * inv[n - k] % mod; } void solve() { int n, k; cin >> k; int ans = 0; string s; cin >> s; n = k + sz(s); int t = sz(s); for (int i = t; i <= n; i++) { int cur = toPower(26, n - i); cur = mul(cur, toPower(25, i - t)); cur = mul(cur, C(i - 1, t - 1)); ans = add(ans, cur); } cout << ans << '\n'; } signed main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif initialize(); int t = 1; // cin >> t; for (int i = 1; i <= t; i++) { solve(); } }
// #pragma GCC optimize("Ofast") // #pragma GCC optimize ("unroll-loops") // #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #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; typedef long long int ll; #define endl '\n' #define ld long double #define all(a) a.begin(), a.end() #define int long long #define pb push_back #define pii pair<int, int> #define ff first #define ss second #define sz(v) (int)v.size() #define UB upper_bound #define LB lower_bound #define BP(x) __builtin_popcountll(x) #define OST \ tree<pii, null_type, less<pii>, rb_tree_tag, \ tree_order_statistics_node_update> mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); int getRand(int l, int r) { uniform_int_distribution<int> uid(l, r); return uid(rng); } const int INF = 1e18 + 0; const int mod = 1e9 + 7; const int mex = 2e6 + 0; int fact[mex + 5], inv[mex + 5]; int toPower(int a, int p) { int res = 1; while (p) { if (p & 1) res = ll(res) * a % mod; p >>= 1; a = ll(a) * a % mod; } return res; } int Inv(int x) { return toPower(x, mod - 2); } int add(int a, int b) { a %= mod; b %= mod; return ((a + b) % mod); } int sub(int a, int b) { a %= mod; b %= mod; return ((a - b + mod) % mod); } int mul(int a, int b) { a %= mod; b %= mod; return ((a * b) % mod); } void initialize() { inv[0] = Inv(fact[0]); fact[0] = inv[0] = 1; for (int i = 1; i <= mex; i++) { fact[i] = (ll(i) * fact[i - 1]) % mod; inv[i] = Inv(fact[i]); } } int C(int n, int k) { if (n < 0 || k < 0 || k > n) return 0; return ll(fact[n]) * inv[k] % mod * inv[n - k] % mod; } void solve() { int n, k; cin >> k; int ans = 0; string s; cin >> s; n = k + sz(s); int t = sz(s); for (int i = t; i <= n; i++) { int cur = toPower(26, n - i); cur = mul(cur, toPower(25, i - t)); cur = mul(cur, C(i - 1, t - 1)); ans = add(ans, cur); } cout << ans << '\n'; } signed main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif initialize(); int t = 1; // cin >> t; for (int i = 1; i <= t; i++) { solve(); } }
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p02632
C++
Runtime Error
#include "bits/stdc++.h" using namespace std; using ll = long long; const ll MOD = 1e9 + 7; const int mx = 1e6 + 9; inline void normal(ll &a) { if (a >= MOD) a %= MOD; (a < 0) && (a += MOD); } inline ll modMul(ll a, ll b) { normal(a), normal(b); return (a * b) % MOD; } inline ll modAdd(ll a, ll b) { normal(a), normal(b); return (a + b) % MOD; } inline ll modSub(ll a, ll b) { normal(a), normal(b); a -= b; normal(a); return a; } inline ll modPow(ll b, ll p) { ll r = 1; while (p) { if (p & 1) r = modMul(r, b); b = modMul(b, b); p >>= 1; } return r; } // if MOD is prime, modPow(b, p % (MOD-1)) inline ll modInverse(ll a) { return modPow(a, MOD - 2); } inline ll modDiv(ll a, ll b) { return modMul(a, modInverse(b)); } ll f[mx]; ll nCr(ll n, ll r) { return modDiv(f[n], modMul(f[r], f[n - r])); } int main() { f[0] = 1; for (int i = 1; i < mx; i++) f[i] = modMul(i, f[i - 1]); int k; string s; cin >> k >> s; int sz = s.size(); int n = k + sz; int z = 26; ll ans = 0; for (int m = 0; m < sz; m++) { ll temp = nCr(n, m); temp = modMul(temp, modPow(z - 1, n - m)); ans = modAdd(ans, temp); } ans = modSub(modPow(z, n), ans); cout << ans << endl; }
#include "bits/stdc++.h" using namespace std; using ll = long long; const ll MOD = 1e9 + 7; const int mx = 3e6 + 9; inline void normal(ll &a) { if (a >= MOD) a %= MOD; (a < 0) && (a += MOD); } inline ll modMul(ll a, ll b) { normal(a), normal(b); return (a * b) % MOD; } inline ll modAdd(ll a, ll b) { normal(a), normal(b); return (a + b) % MOD; } inline ll modSub(ll a, ll b) { normal(a), normal(b); a -= b; normal(a); return a; } inline ll modPow(ll b, ll p) { ll r = 1; while (p) { if (p & 1) r = modMul(r, b); b = modMul(b, b); p >>= 1; } return r; } // if MOD is prime, modPow(b, p % (MOD-1)) inline ll modInverse(ll a) { return modPow(a, MOD - 2); } inline ll modDiv(ll a, ll b) { return modMul(a, modInverse(b)); } ll f[mx]; ll nCr(ll n, ll r) { return modDiv(f[n], modMul(f[r], f[n - r])); } int main() { f[0] = 1; for (int i = 1; i < mx; i++) f[i] = modMul(i, f[i - 1]); int k; string s; cin >> k >> s; int sz = s.size(); int n = k + sz; int z = 26; ll ans = 0; for (int m = 0; m < sz; m++) { ll temp = nCr(n, m); temp = modMul(temp, modPow(z - 1, n - m)); ans = modAdd(ans, temp); } ans = modSub(modPow(z, n), ans); cout << ans << endl; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define INF 1000000007 #define LINF (1LL << 61) #define PI 3.14159265358979 typedef long long i64; typedef pair<i64, i64> P; inline i64 mod(i64 a, i64 m) { return (a % m + m) % m; } 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; } int k; string s; i64 mod_pow(i64 x, i64 y, i64 mod) { i64 res = 1; while (y > 0) { if (y & 1) res = res * x % mod; x = x * x % mod; y >>= 1; } return res; } const int MAX = 1010101, MOD = INF; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; inv[0] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long C(i64 n, i64 k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; /*i64 res = 1; for(int i = 1; i <= k; i++){ res *= n-i+1; res %= MOD; res *= inv[i]; res %= MOD; } return res; */ } void solve() { cin >> k >> s; int n = s.size(); COMinit(); // 文字列sを部分列に含む k+|s|文字の文字列の数は? i64 ans = 0; for (int i = n; i <= n + k; i++) { ans += mod_pow(26, n + k - i, INF) * mod_pow(25, i - n, INF) % INF * C(i - 1, n - 1) % INF; ans %= INF; } cout << ans << endl; } int main() { std::cin.tie(0); std::ios::sync_with_stdio(false); int t = 1; // cin >> t; while (t--) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; #define INF 1000000007 #define LINF (1LL << 61) #define PI 3.14159265358979 typedef long long i64; typedef pair<i64, i64> P; inline i64 mod(i64 a, i64 m) { return (a % m + m) % m; } 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; } int k; string s; i64 mod_pow(i64 x, i64 y, i64 mod) { i64 res = 1; while (y > 0) { if (y & 1) res = res * x % mod; x = x * x % mod; y >>= 1; } return res; } const int MAX = 2010101, MOD = INF; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; inv[0] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long C(i64 n, i64 k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; /*i64 res = 1; for(int i = 1; i <= k; i++){ res *= n-i+1; res %= MOD; res *= inv[i]; res %= MOD; } return res; */ } void solve() { cin >> k >> s; int n = s.size(); COMinit(); // 文字列sを部分列に含む k+|s|文字の文字列の数は? i64 ans = 0; for (int i = n; i <= n + k; i++) { ans += mod_pow(26, n + k - i, INF) * mod_pow(25, i - n, INF) % INF * C(i - 1, n - 1) % INF; ans %= INF; } cout << ans << endl; } int main() { std::cin.tie(0); std::ios::sync_with_stdio(false); int t = 1; // cin >> t; while (t--) { solve(); } return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> #define foi(i, k, n) for (int i = (int)k; i < (int)n; ++i) using namespace std; constexpr int MOD = 7 + 1e9; constexpr int MAXN = 5 + 1e6; int add(int a, int b) { int ans = a + b; if (ans >= MOD) ans -= MOD; return ans; } int mul(int a, int b) { return (int)((1LL * a * b) % MOD); } int fpow(int b, int e) { int ans = 1; for (; e; e >>= 1) { if (e & 1) ans = mul(ans, b); b = mul(b, b); } return ans; } int f[MAXN]; int choose(int n, int k) { assert(k <= n); return mul(f[n], fpow(mul(f[k], f[n - k]), MOD - 2)); } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); f[0] = 1; for (int i = 1; i < MAXN; ++i) { f[i] = mul(f[i - 1], i); } int n, k, ans = 0; cin >> k; string s; cin >> s; n = s.size() + k; k = s.size(); for (int j = 0; j <= n - k; ++j) { ans = add(ans, mul(choose(n, j + k), fpow(25, n - k - j))); } cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> #define foi(i, k, n) for (int i = (int)k; i < (int)n; ++i) using namespace std; constexpr int MOD = 7 + 1e9; constexpr int MAXN = 5 + 3e6; int add(int a, int b) { int ans = a + b; if (ans >= MOD) ans -= MOD; return ans; } int mul(int a, int b) { return (int)((1LL * a * b) % MOD); } int fpow(int b, int e) { int ans = 1; for (; e; e >>= 1) { if (e & 1) ans = mul(ans, b); b = mul(b, b); } return ans; } int f[MAXN]; int choose(int n, int k) { assert(k <= n); return mul(f[n], fpow(mul(f[k], f[n - k]), MOD - 2)); } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); f[0] = 1; for (int i = 1; i < MAXN; ++i) { f[i] = mul(f[i - 1], i); } int n, k, ans = 0; cin >> k; string s; cin >> s; n = s.size() + k; k = s.size(); for (int j = 0; j <= n - k; ++j) { ans = add(ans, mul(choose(n, j + k), fpow(25, n - k - j))); } cout << ans << '\n'; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> #define pb push_back #define F first #define S second #define all(x) x.begin(), x.end() using namespace std; typedef long long ll; typedef long double ld; typedef pair<ll, ll> pll; const ll N = 1e6 + 30, Mod = 1e9 + 7; const ll SQ = 330; ll F[N], I[N]; ll mul(ll a, ll b) { return (a * b) % Mod; } ll sum(ll a, ll b) { return (a + b + Mod) % Mod; } ll Pow(ll a, ll b) { ll res = 1; for (; b; b >>= 1, a = mul(a, a)) if (b & 1) res = mul(res, a); return res; } ll C(ll r, ll n) { if (r < 0 || r > n) return 0; return mul(F[n], mul(I[r], I[n - r])); } ll inv(ll x) { return Pow(x, Mod - 2); } int main() { ios::sync_with_stdio(0), cin.tie(0); F[0] = 1; for (int i = 1; i < N; i++) F[i] = mul(i, F[i - 1]); I[N - 1] = Pow(F[N - 1], Mod - 2); for (int i = N - 2; ~i; i--) I[i] = mul(i + 1, I[i + 1]); ll ans = 0; ll k; cin >> k; string s; cin >> s; ll n = s.size(); for (int i = 0; i <= k; i++) { ll res = 0; res = C(n - 1, k + n - i - 1); res = mul(res, Pow(25, k - i)); res = mul(res, Pow(26, i)); ans = sum(ans, res); } cout << ans << endl; }
#include <bits/stdc++.h> #define pb push_back #define F first #define S second #define all(x) x.begin(), x.end() using namespace std; typedef long long ll; typedef long double ld; typedef pair<ll, ll> pll; const ll N = 2e6 + 30, Mod = 1e9 + 7; const ll SQ = 330; ll F[N], I[N]; ll mul(ll a, ll b) { return (a * b) % Mod; } ll sum(ll a, ll b) { return (a + b + Mod) % Mod; } ll Pow(ll a, ll b) { ll res = 1; for (; b; b >>= 1, a = mul(a, a)) if (b & 1) res = mul(res, a); return res; } ll C(ll r, ll n) { if (r < 0 || r > n) return 0; return mul(F[n], mul(I[r], I[n - r])); } ll inv(ll x) { return Pow(x, Mod - 2); } int main() { ios::sync_with_stdio(0), cin.tie(0); F[0] = 1; for (int i = 1; i < N; i++) F[i] = mul(i, F[i - 1]); I[N - 1] = Pow(F[N - 1], Mod - 2); for (int i = N - 2; ~i; i--) I[i] = mul(i + 1, I[i + 1]); ll ans = 0; ll k; cin >> k; string s; cin >> s; ll n = s.size(); for (int i = 0; i <= k; i++) { ll res = 0; res = C(n - 1, k + n - i - 1); res = mul(res, Pow(25, k - i)); res = mul(res, Pow(26, i)); ans = sum(ans, res); } cout << ans << endl; }
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p02632
C++
Runtime Error
#include <algorithm> // min, max, swap, sort, reverse, lower_bound, upper_bound #include <bitset> // bitset #include <cctype> // isupper, islower, isdigit, toupper, tolower #include <cmath> //sqrt pow #include <cstdint> // int64_t, int*_t #include <cstdio> // printf #include <deque> // dequef #include <iostream> // cout, endl, cin #include <map> // map #include <queue> // queue, priority_queue #include <set> // set #include <stack> // stack #include <string> // string, to_string, stoi #include <tuple> // tuple, make_tuple #include <unordered_map> // unordered_map #include <unordered_set> // unordered_set #include <utility> // pair, make_pair #include <vector> // vector #define rep(i, n) for (int i = 0; i < n; i++) #define vi vector<int> #define vvi vector<vi> #define pii pair<int, int> #define all(a) (a).begin(), (a).end() #define mod 1000000007 using ll = long long; using namespace std; ll modPow(ll a, ll n, ll p) { // 繰り返し二乗法 a**n % p if (!n) return 1; if (n == 1) return a % p; if (n & 1) return (a * modPow(a, n - 1, p)) % p; ll t = modPow(a, n / 2, p); return (t * t) % p; } ll choose(ll n, ll k, vector<ll> &fact, vector<ll> &inv) { return fact[n] * (inv[k] * inv[n - k] % mod) % mod; } int main() { const int len = 100000; vector<ll> fact(len), inv(len); fact[0] = fact[1] = 1; for (int i = 2; i < len; i++) fact[i] = fact[i - 1] * i % mod; inv[len - 1] = modPow(fact[len - 1], mod - 2, mod); for (int i = len - 2; i >= 0; i--) inv[i] = inv[i + 1] * (i + 1) % mod; int k; string s; cin >> k >> s; int n = s.size(); ll ans = 0; rep(x, k + 1) { ll num = choose(k + n - x - 1, n - 1, fact, inv); (num *= modPow(26, x, mod)) %= mod; (num *= modPow(25, k - x, mod)) % mod; (ans += num) %= mod; } cout << ans << endl; }
#include <algorithm> // min, max, swap, sort, reverse, lower_bound, upper_bound #include <bitset> // bitset #include <cctype> // isupper, islower, isdigit, toupper, tolower #include <cmath> //sqrt pow #include <cstdint> // int64_t, int*_t #include <cstdio> // printf #include <deque> // dequef #include <iostream> // cout, endl, cin #include <map> // map #include <queue> // queue, priority_queue #include <set> // set #include <stack> // stack #include <string> // string, to_string, stoi #include <tuple> // tuple, make_tuple #include <unordered_map> // unordered_map #include <unordered_set> // unordered_set #include <utility> // pair, make_pair #include <vector> // vector #define rep(i, n) for (int i = 0; i < n; i++) #define vi vector<int> #define vvi vector<vi> #define pii pair<int, int> #define all(a) (a).begin(), (a).end() #define mod 1000000007 using ll = long long; using namespace std; ll modPow(ll a, ll n, ll p) { // 繰り返し二乗法 a**n % p if (!n) return 1; if (n == 1) return a % p; if (n & 1) return (a * modPow(a, n - 1, p)) % p; ll t = modPow(a, n / 2, p); return (t * t) % p; } ll choose(ll n, ll k, vector<ll> &fact, vector<ll> &inv) { return fact[n] * (inv[k] * inv[n - k] % mod) % mod; } int main() { const int len = 2000002; vector<ll> fact(len), inv(len); fact[0] = fact[1] = 1; for (int i = 2; i < len; i++) fact[i] = fact[i - 1] * i % mod; inv[len - 1] = modPow(fact[len - 1], mod - 2, mod); for (int i = len - 2; i >= 0; i--) inv[i] = inv[i + 1] * (i + 1) % mod; int k; string s; cin >> k >> s; int n = s.size(); ll ans = 0; rep(x, k + 1) { ll num = choose(k + n - x - 1, n - 1, fact, inv); (num *= modPow(26, x, mod)) %= mod; (num *= modPow(25, k - x, mod)) % mod; (ans += num) %= mod; } cout << ans << endl; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<ll, ll> P; const ll MOD = 1e9 + 7; const ll INF = 1e18; #define rep(i, m, n) for (ll i = (m); i <= (n); i++) #define zep(i, m, n) for (ll i = (m); i < (n); i++) #define rrep(i, m, n) for (ll i = (m); i >= (n); i--) #define print(x) cout << (x) << endl; #define printa(x, m, n) \ for (int i = (m); i <= n; i++) { \ cout << (x[i]) << " "; \ } \ cout << endl; const long long MAX = 1e6 + 100; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } long long powmod(long long a, long long x) { if (x == 0) return 1; long long r = powmod(a, x / 2); return (x % 2) ? (r * r % MOD) * a % MOD : r * r % MOD; } int main() { cin.tie(0); ios::sync_with_stdio(false); COMinit(); ll k; cin >> k; string s; cin >> s; ll n = s.size(); ll ans = 0; rep(i, 0, k) { ans += COM(n - 1 + k - i, k - i) * powmod(25, k - i) % MOD * powmod(26, i) % MOD; ans %= MOD; } print(ans) return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<ll, ll> P; const ll MOD = 1e9 + 7; const ll INF = 1e18; #define rep(i, m, n) for (ll i = (m); i <= (n); i++) #define zep(i, m, n) for (ll i = (m); i < (n); i++) #define rrep(i, m, n) for (ll i = (m); i >= (n); i--) #define print(x) cout << (x) << endl; #define printa(x, m, n) \ for (int i = (m); i <= n; i++) { \ cout << (x[i]) << " "; \ } \ cout << endl; const long long MAX = 2e6 + 100; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } long long powmod(long long a, long long x) { if (x == 0) return 1; long long r = powmod(a, x / 2); return (x % 2) ? (r * r % MOD) * a % MOD : r * r % MOD; } int main() { cin.tie(0); ios::sync_with_stdio(false); COMinit(); ll k; cin >> k; string s; cin >> s; ll n = s.size(); ll ans = 0; rep(i, 0, k) { ans += COM(n - 1 + k - i, k - i) * powmod(25, k - i) % MOD * powmod(26, i) % MOD; ans %= MOD; } print(ans) return 0; }
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p02632
C++
Runtime Error
#include <fstream> #include <iostream> // BE CAREFUL WITH HASH TABLE & UNORDERED MAP // #include <ext/pb_ds/assoc_container.hpp> // using namespace __gnu_pbds; using namespace std; #define MOD 1000000007 #define FOR(i, a, b) for (int i = (a); i < (b); i++) #define F0R(i, b) FOR(i, 0, b) #define RFO(i, a, b) for (int i = (b - 1); i >= (a); i--) #define RF0(i, b) RFO(i, 0, b) #define lli long long int #define pii pair<int, int> #define add(a, b) ((int)(((lli)(a) + (b)) % MOD)) #define mul(a, b) ((int)(((lli)(a) * (b)) % MOD)) #define PB emplace_back // ifstream cin ("cinput.in"); // ofstream cout ("coutput.out"); int K; string S; int fact[2000000]; int modexp(int a, int e) { int ans = 1; int cur = a; while (e) { if (e & 1) { ans = mul(ans, cur); e--; } e /= 2; cur = mul(cur, cur); } return ans; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> K >> S; fact[0] = 1; FOR(i, 1, K + S.size() + 1) fact[i] = mul(fact[i - 1], i); int ans = 0; FOR(av, S.size(), K + S.size() + 1) { int nck = mul(fact[av - 1], modexp(mul(fact[S.size() - 1], fact[av - S.size()]), MOD - 2)); int p1 = modexp(25, av - S.size()); int p2 = modexp(26, K + S.size() - av); ans = add(ans, mul(mul(p1, p2), nck)); } cout << ans << '\n'; }
#include <fstream> #include <iostream> // BE CAREFUL WITH HASH TABLE & UNORDERED MAP // #include <ext/pb_ds/assoc_container.hpp> // using namespace __gnu_pbds; using namespace std; #define MOD 1000000007 #define FOR(i, a, b) for (int i = (a); i < (b); i++) #define F0R(i, b) FOR(i, 0, b) #define RFO(i, a, b) for (int i = (b - 1); i >= (a); i--) #define RF0(i, b) RFO(i, 0, b) #define lli long long int #define pii pair<int, int> #define add(a, b) ((int)(((lli)(a) + (b)) % MOD)) #define mul(a, b) ((int)(((lli)(a) * (b)) % MOD)) #define PB emplace_back // ifstream cin ("cinput.in"); // ofstream cout ("coutput.out"); int K; string S; int fact[2000001]; int modexp(int a, int e) { int ans = 1; int cur = a; while (e) { if (e & 1) { ans = mul(ans, cur); e--; } e /= 2; cur = mul(cur, cur); } return ans; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> K >> S; fact[0] = 1; FOR(i, 1, K + S.size() + 1) fact[i] = mul(fact[i - 1], i); int ans = 0; FOR(av, S.size(), K + S.size() + 1) { int nck = mul(fact[av - 1], modexp(mul(fact[S.size() - 1], fact[av - S.size()]), MOD - 2)); int p1 = modexp(25, av - S.size()); int p2 = modexp(26, K + S.size() - av); ans = add(ans, mul(mul(p1, p2), nck)); } cout << ans << '\n'; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; // #define int long long typedef long long ll; // const int INF = 2e9; // const ll INF = 9e18; const int mod = 1000000007; struct mint { ll x; // typedef long long ll; mint(ll x = 0) : x((x % mod + mod) % mod) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint &operator-=(const mint a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod - 2); } mint &operator/=(const mint a) { return *this *= a.inv(); } mint operator/(const mint a) const { return mint(*this) /= a; } }; istream &operator>>(istream &is, const mint &a) { return is >> a.x; } ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } struct combination { vector<mint> fact, ifact; combination(int n) : fact(n + 1), ifact(n + 1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n] * ifact[k] * ifact[n - k]; } } comb(1000100); mint perm(int n, int k) { mint res = comb(n, k); res *= comb.fact[k]; return res; } signed main() { ios::sync_with_stdio(false); cin.tie(0); int K; cin >> K; string S; cin >> S; int n = S.size(); mint ans = 0; for (int i = 0; i <= K; i++) { mint now = mint(26).pow(K - i); now *= mint(25).pow(i); now *= comb(i + n - 1, n - 1); ans += now; } cout << ans << "\n"; }
#include <bits/stdc++.h> using namespace std; // #define int long long typedef long long ll; // const int INF = 2e9; // const ll INF = 9e18; const int mod = 1000000007; struct mint { ll x; // typedef long long ll; mint(ll x = 0) : x((x % mod + mod) % mod) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint &operator-=(const mint a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod - 2); } mint &operator/=(const mint a) { return *this *= a.inv(); } mint operator/(const mint a) const { return mint(*this) /= a; } }; istream &operator>>(istream &is, const mint &a) { return is >> a.x; } ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } struct combination { vector<mint> fact, ifact; combination(int n) : fact(n + 1), ifact(n + 1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n] * ifact[k] * ifact[n - k]; } } comb(2000100); mint perm(int n, int k) { mint res = comb(n, k); res *= comb.fact[k]; return res; } signed main() { ios::sync_with_stdio(false); cin.tie(0); int K; cin >> K; string S; cin >> S; int n = S.size(); mint ans = 0; for (int i = 0; i <= K; i++) { mint now = mint(26).pow(K - i); now *= mint(25).pow(i); now *= comb(i + n - 1, n - 1); ans += now; } cout << ans << "\n"; }
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p02632
C++
Runtime Error
/*#include <boost/multiprecision/cpp_dec_float.hpp> #include <boost/multiprecision/cpp_int.hpp> #include <boost/rational.hpp> */ #include <bits/stdc++.h> using namespace std; #define _GLIBCXX_DEBUG #define rep(i, n) for (ll i = 0; i < (ll)(n); i++) using ll = long long; using ld = long double; #define rep2(i, s, n) for (ll i = (s); i < (ll)(n); i++) #define rep3(i, n) for (ll i = 1; i < (ll)(n + 1); i++) #define rep4(i, s, n) for (ll i = (s); i < (ll)(n + 1); i++) #define repr(i, n) for (ll i = (n - 1); i >= 0; i--) #define repr3(i, n) for (ll i = (n); i > 0; i--) #define repr4(i, s, n) for (ll i = (n); i >= (s); i--) #define stlen(s) ll s.size() - 1 #define all(v) v.begin(), v.end() #define cout(n) cout << std::fixed << std::setprecision(n) using Graph = vector<vector<int>>; using Graphw = vector<vector<pair<ll, ll>>>; #define INF1 INT_MAX; #define INF2 LLONG_MAX; #define PI 3.14159265358979323846; #define MOD 1000000007; /* 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>; */ const int mod = 1000000007; struct mint { ll x; // typedef long long ll; mint(ll x = 0) : x((x % mod + mod) % mod) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint &operator-=(const mint a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod - 2); } mint &operator/=(const mint a) { return *this *= a.inv(); } mint operator/(const mint a) const { return mint(*this) /= a; } }; istream &operator>>(istream &is, const mint &a) { return is >> a.x; } ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } struct combination { vector<mint> fact, ifact; combination(int n) : fact(n + 1), ifact(n + 1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n] * ifact[k] * ifact[n - k]; } } comb(1000005); int main() { int K, n; string S; cin >> K >> S; n = S.size(); mint ans = 0; rep(i, K + 1) { ans += comb(n + i - 1, n - 1) * mint(25).pow(i) * mint(26).pow(K - i); } cout << ans << endl; return 0; }
/*#include <boost/multiprecision/cpp_dec_float.hpp> #include <boost/multiprecision/cpp_int.hpp> #include <boost/rational.hpp> */ #include <bits/stdc++.h> using namespace std; #define _GLIBCXX_DEBUG #define rep(i, n) for (ll i = 0; i < (ll)(n); i++) using ll = long long; using ld = long double; #define rep2(i, s, n) for (ll i = (s); i < (ll)(n); i++) #define rep3(i, n) for (ll i = 1; i < (ll)(n + 1); i++) #define rep4(i, s, n) for (ll i = (s); i < (ll)(n + 1); i++) #define repr(i, n) for (ll i = (n - 1); i >= 0; i--) #define repr3(i, n) for (ll i = (n); i > 0; i--) #define repr4(i, s, n) for (ll i = (n); i >= (s); i--) #define stlen(s) ll s.size() - 1 #define all(v) v.begin(), v.end() #define cout(n) cout << std::fixed << std::setprecision(n) using Graph = vector<vector<int>>; using Graphw = vector<vector<pair<ll, ll>>>; #define INF1 INT_MAX; #define INF2 LLONG_MAX; #define PI 3.14159265358979323846; #define MOD 1000000007; /* 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>; */ const int mod = 1000000007; struct mint { ll x; // typedef long long ll; mint(ll x = 0) : x((x % mod + mod) % mod) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint &operator-=(const mint a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod - 2); } mint &operator/=(const mint a) { return *this *= a.inv(); } mint operator/(const mint a) const { return mint(*this) /= a; } }; istream &operator>>(istream &is, const mint &a) { return is >> a.x; } ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } struct combination { vector<mint> fact, ifact; combination(int n) : fact(n + 1), ifact(n + 1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n] * ifact[k] * ifact[n - k]; } } comb(2000005); int main() { int K, n; string S; cin >> K >> S; n = S.size(); mint ans = 0; rep(i, K + 1) { ans += comb(n + i - 1, n - 1) * mint(25).pow(i) * mint(26).pow(K - i); } cout << ans << endl; return 0; }
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p02632
C++
Runtime Error
const int LG = 21; const int N = 1e6 + 88; const long long MOD = 1e9 + 7; const long long INF = 1e9; const long long INFLL = 1e18; #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef vector<int> vi; typedef vector<vector<int>> vvi; typedef vector<ll> vll; #define forn(i, n) for (int(i) = 0; (i) != (n); (i)++) #define all(v) (v).begin(), (v).end() #define rall(v) (v).rbegin(), (v).rend() #define popcount(x) __builtin_popcount(x) #define popcountll(x) __builtin_popcountll(x) #define fi first #define se second #define re return #define pb push_back #define uniq(x) \ sort(all(x)); \ (x).resize(unique(all(x)) - (x).begin()) #ifdef LOCAL #define dbg(x) cerr << __LINE__ << " " << #x << " " << x << endl #define ln cerr << __LINE__ << endl #else #define dbg(x) void(0) #define ln void(0) #endif // LOCAL int cx[4] = {-1, 0, 1, 0}; int cy[4] = {0, -1, 0, 1}; string Yes[2] = {"No", "Yes"}; string YES[2] = {"NO", "YES"}; ll inq(ll x, ll y) { if (!y) re 1 % MOD; ll l = inq(x, y / 2); if (y % 2) re l *l % MOD *x % MOD; re l *l % MOD; } ll rev(ll x) { return inq(x, MOD - 2); } bool __precomputed_combinatorics = 0; vector<ll> __fact, __ufact, __rev; void __precompute_combinatorics() { __precomputed_combinatorics = 1; __fact.resize(N); __ufact.resize(N); __rev.resize(N); __rev[1] = 1; for (int i = 2; i < N; i++) __rev[i] = MOD - __rev[MOD % i] * (MOD / i) % MOD; __fact[0] = 1, __ufact[0] = 1; for (int i = 1; i < N; i++) __fact[i] = __fact[i - 1] * i % MOD, __ufact[i] = __ufact[i - 1] * __rev[i] % MOD; } ll fact(int x) { if (!__precomputed_combinatorics) __precompute_combinatorics(); return __fact[x]; } ll cnk(int n, int k) { if (k < 0 || k > n) return 0; if (!__precomputed_combinatorics) __precompute_combinatorics(); return __fact[n] * __ufact[n - k] % MOD * __ufact[k] % MOD; } int Root(int x, vector<int> &root) { if (x == root[x]) return x; return root[x] = Root(root[x], root); } void Merge(int v, int u, vector<int> &root, vector<int> &sz) { v = Root(v, root), u = Root(u, root); if (v == u) return; if (sz[v] < sz[u]) { sz[u] += sz[v]; root[v] = u; } else { sz[v] += sz[u]; root[u] = v; } } int ok(int x, int n) { return 0 <= x && x < n; } void bfs(int v, vi &dist, vector<vi> &graph) { fill(all(dist), -1); dist[v] = 0; vi q = {v}; for (int i = 0; i < q.size(); i++) { for (auto u : graph[q[i]]) { if (dist[u] == -1) { dist[u] = dist[q[i]] + 1; q.push_back(u); } } } } vector<int> z_func(string &s) { vector<int> z(s.size()); z[0] = s.size(); int L = 0, R = 0; for (int i = 1; i < s.size(); i++) { z[i] = max(0, min(z[i - L], R - i)); while (i + z[i] < s.size() && s[i + z[i]] == s[z[i]]) z[i]++; if (i + z[i] > R) { R = i + z[i]; L = i; } } return z; } vector<int> p_func(string &s) { vector<int> p(s.size()); for (int i = 1; i < s.size(); i++) { int j = p[i - 1]; while (j > 0 && s[i] != s[j]) j = p[j - 1]; if (s[i] == s[j]) j++; p[i] = j; } return p; } vector<int> d1_func(string &s) { vector<int> d1(s.size()); int L = 0, R = -1; for (int i = 0; i < s.size(); i++) { int k = 0; if (i <= R) k = min(R - i + 1, d1[R - i + L]); while (i + k < s.size() && i - k >= 0 && s[i - k] == s[i + k]) k++; d1[i] = k--; if (i + k > R) { L = i - k; R = i + k; } } return d1; } vector<int> d2_func(string &s) { vector<int> d2(s.size()); int L = 0, R = -1; for (int i = 1; i < s.size(); i++) { int k = 0; if (i <= R) k = min(R - i + 1, d2[R - i + L + 1]); while (i + k < s.size() && i - k - 1 >= 0 && s[i - k - 1] == s[i + k]) k++; d2[i] = k--; if (i + k > R) { L = i - k - 1; R = i + k; } } return d2; } ll log10(ll x) { if (x < 10) re 1; re 1 + log10(x / 10); } ll ds(ll x) { if (x < 10) return x; re x % 10 + ds(x / 10); } double sqr(double x) { return x * x; } bool in(int bit, int mask) { return (mask & (1 << bit)) > 0; } void Del(vector<int> &v, int pos) { swap(v[pos], v[v.size() - 1]); v.pop_back(); } long long g(vector<long long> &p, int pos) { if (ok(pos, p.size())) return p[pos]; if (pos < 0 || p.size() == 0) return 0; return p.back(); } int g(vector<int> &p, int pos) { if (ok(pos, p.size())) return p[pos]; if (pos < 0 || p.size() == 0) return 0; return p.back(); } signed main() { srand(time(NULL)); ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); ll n, k; cin >> k; string s; cin >> s; n = s.size(); ll ans = 0; for (int c = n; c <= n + k; c++) ans += inq(25, n + k - c) * cnk(n + k, c) % MOD; cout << ans % MOD; } /* Note: Check constants at the beginning of the code. N is set to 4e5 but be careful in problems with large constant factor. Setting N in every problem is more effective. Check corner cases. N = 1 No def int long long for now. Add something here. */
const int LG = 21; const int N = 2e6 + 88; const long long MOD = 1e9 + 7; const long long INF = 1e9; const long long INFLL = 1e18; #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef vector<int> vi; typedef vector<vector<int>> vvi; typedef vector<ll> vll; #define forn(i, n) for (int(i) = 0; (i) != (n); (i)++) #define all(v) (v).begin(), (v).end() #define rall(v) (v).rbegin(), (v).rend() #define popcount(x) __builtin_popcount(x) #define popcountll(x) __builtin_popcountll(x) #define fi first #define se second #define re return #define pb push_back #define uniq(x) \ sort(all(x)); \ (x).resize(unique(all(x)) - (x).begin()) #ifdef LOCAL #define dbg(x) cerr << __LINE__ << " " << #x << " " << x << endl #define ln cerr << __LINE__ << endl #else #define dbg(x) void(0) #define ln void(0) #endif // LOCAL int cx[4] = {-1, 0, 1, 0}; int cy[4] = {0, -1, 0, 1}; string Yes[2] = {"No", "Yes"}; string YES[2] = {"NO", "YES"}; ll inq(ll x, ll y) { if (!y) re 1 % MOD; ll l = inq(x, y / 2); if (y % 2) re l *l % MOD *x % MOD; re l *l % MOD; } ll rev(ll x) { return inq(x, MOD - 2); } bool __precomputed_combinatorics = 0; vector<ll> __fact, __ufact, __rev; void __precompute_combinatorics() { __precomputed_combinatorics = 1; __fact.resize(N); __ufact.resize(N); __rev.resize(N); __rev[1] = 1; for (int i = 2; i < N; i++) __rev[i] = MOD - __rev[MOD % i] * (MOD / i) % MOD; __fact[0] = 1, __ufact[0] = 1; for (int i = 1; i < N; i++) __fact[i] = __fact[i - 1] * i % MOD, __ufact[i] = __ufact[i - 1] * __rev[i] % MOD; } ll fact(int x) { if (!__precomputed_combinatorics) __precompute_combinatorics(); return __fact[x]; } ll cnk(int n, int k) { if (k < 0 || k > n) return 0; if (!__precomputed_combinatorics) __precompute_combinatorics(); return __fact[n] * __ufact[n - k] % MOD * __ufact[k] % MOD; } int Root(int x, vector<int> &root) { if (x == root[x]) return x; return root[x] = Root(root[x], root); } void Merge(int v, int u, vector<int> &root, vector<int> &sz) { v = Root(v, root), u = Root(u, root); if (v == u) return; if (sz[v] < sz[u]) { sz[u] += sz[v]; root[v] = u; } else { sz[v] += sz[u]; root[u] = v; } } int ok(int x, int n) { return 0 <= x && x < n; } void bfs(int v, vi &dist, vector<vi> &graph) { fill(all(dist), -1); dist[v] = 0; vi q = {v}; for (int i = 0; i < q.size(); i++) { for (auto u : graph[q[i]]) { if (dist[u] == -1) { dist[u] = dist[q[i]] + 1; q.push_back(u); } } } } vector<int> z_func(string &s) { vector<int> z(s.size()); z[0] = s.size(); int L = 0, R = 0; for (int i = 1; i < s.size(); i++) { z[i] = max(0, min(z[i - L], R - i)); while (i + z[i] < s.size() && s[i + z[i]] == s[z[i]]) z[i]++; if (i + z[i] > R) { R = i + z[i]; L = i; } } return z; } vector<int> p_func(string &s) { vector<int> p(s.size()); for (int i = 1; i < s.size(); i++) { int j = p[i - 1]; while (j > 0 && s[i] != s[j]) j = p[j - 1]; if (s[i] == s[j]) j++; p[i] = j; } return p; } vector<int> d1_func(string &s) { vector<int> d1(s.size()); int L = 0, R = -1; for (int i = 0; i < s.size(); i++) { int k = 0; if (i <= R) k = min(R - i + 1, d1[R - i + L]); while (i + k < s.size() && i - k >= 0 && s[i - k] == s[i + k]) k++; d1[i] = k--; if (i + k > R) { L = i - k; R = i + k; } } return d1; } vector<int> d2_func(string &s) { vector<int> d2(s.size()); int L = 0, R = -1; for (int i = 1; i < s.size(); i++) { int k = 0; if (i <= R) k = min(R - i + 1, d2[R - i + L + 1]); while (i + k < s.size() && i - k - 1 >= 0 && s[i - k - 1] == s[i + k]) k++; d2[i] = k--; if (i + k > R) { L = i - k - 1; R = i + k; } } return d2; } ll log10(ll x) { if (x < 10) re 1; re 1 + log10(x / 10); } ll ds(ll x) { if (x < 10) return x; re x % 10 + ds(x / 10); } double sqr(double x) { return x * x; } bool in(int bit, int mask) { return (mask & (1 << bit)) > 0; } void Del(vector<int> &v, int pos) { swap(v[pos], v[v.size() - 1]); v.pop_back(); } long long g(vector<long long> &p, int pos) { if (ok(pos, p.size())) return p[pos]; if (pos < 0 || p.size() == 0) return 0; return p.back(); } int g(vector<int> &p, int pos) { if (ok(pos, p.size())) return p[pos]; if (pos < 0 || p.size() == 0) return 0; return p.back(); } signed main() { srand(time(NULL)); ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); ll n, k; cin >> k; string s; cin >> s; n = s.size(); ll ans = 0; for (int c = n; c <= n + k; c++) ans += inq(25, n + k - c) * cnk(n + k, c) % MOD; cout << ans % MOD; } /* Note: Check constants at the beginning of the code. N is set to 4e5 but be careful in problems with large constant factor. Setting N in every problem is more effective. Check corner cases. N = 1 No def int long long for now. Add something here. */
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p02632
C++
Runtime Error
#include <bits/stdc++.h> #define rep(i, n) for (int i = 0; i < (int)(n); ++i) #define rep2(i, s, n) for (int i = (s); i < (int)(n); i++) using namespace std; const int MAX = 200100; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } long long modpow(long long a, long long n, long long mod) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } int main() { long k; cin >> k; string s; cin >> s; long n = s.size(); COMinit(); long ans = 0; rep2(i, n, k + n + 1) { ans = (ans + modpow(25, i - n, MOD) * modpow(26, k + n - i, MOD) % MOD * COM(i - 1, n - 1)) % MOD; } cout << ans << endl; }
#include <bits/stdc++.h> #define rep(i, n) for (int i = 0; i < (int)(n); ++i) #define rep2(i, s, n) for (int i = (s); i < (int)(n); i++) using namespace std; const int MAX = 2000100; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } long long modpow(long long a, long long n, long long mod) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } int main() { long k; cin >> k; string s; cin >> s; long n = s.size(); COMinit(); long ans = 0; rep2(i, n, k + n + 1) { ans = (ans + modpow(25, i - n, MOD) * modpow(26, k + n - i, MOD) % MOD * COM(i - 1, n - 1)) % MOD; } cout << ans << endl; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; // template {{{ #define range(i, l, r) for (int i = (int)(l); i < (int)(r); (i) += 1) #define rrange(i, l, r) for (int i = (int)(r)-1; i >= (int)(l); (i) -= 1) #define whole(f, x, ...) \ ([&](decltype((x)) container) { \ return (f)(begin(container), end(container), ##__VA_ARGS__); \ })(x) #define rwhole(f, x, ...) \ ([&](decltype((x)) container) { \ return (f)(rbegin(container), rend(container), ##__VA_ARGS__); \ })(x) #define debug(x) cerr << "(" << __LINE__ << ")" << #x << ": " << (x) << endl using i32 = int; using u32 = unsigned int; using i64 = long long; using u64 = unsigned long long; // constexpr i32 mod = 998244353; constexpr i32 mod = 1e9 + 7; constexpr i32 inf = 1001001001; constexpr i64 infll = 1001001001001001001ll; constexpr int dx[] = {0, -1, 1, 0, -1, 1, -1, 1}; constexpr int dy[] = {-1, 0, 0, 1, -1, -1, 1, 1}; struct IoSetup { IoSetup(int x = 15) { cin.tie(0); ios::sync_with_stdio(0); cout << fixed << setprecision(x); cerr << fixed << setprecision(x); } } iosetup; template <typename T = i64> T input() { T x; cin >> x; return x; } template <typename T> ostream &operator<<(ostream &os, vector<T> &v) { range(i, 0, v.size()) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template <typename T> istream &operator>>(istream &is, vector<T> &v) { for (T &in : v) is >> in; return is; } template <typename T1, typename T2> ostream &operator<<(ostream &os, pair<T1, T2> p) { os << "(" << p.first << ", " << p.second << ")"; return os; } template <typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p) { is >> p.first >> p.second; return is; } template <typename T> vector<T> make_vector(size_t a, T b) { return vector<T>(a, b); } template <typename... Ts> auto make_vector(size_t a, Ts... ts) { return vector<decltype(make_vector(ts...))>(a, make_vector(ts...)); } template <typename T1, typename T2> inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template <typename T1, typename T2> inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } // }}} // mod_int {{{ template <int mod> class mod_int { using i32 = int_fast32_t; using i64 = int_fast64_t; i32 num_; public: mod_int() : num_(0) {} mod_int(i64 num_) : num_(num_ >= 0 ? num_ % mod : (mod + num_ % mod) % mod) {} inline i32 num() const { return num_; } operator i64() { return num_; } inline mod_int inverse() const { i32 a = num_, b = mod, u = 1, v = 0, t; while (b) { t = a / b; std::swap(a -= t * b, b); std::swap(u -= t * v, v); } return mod_int(u); } mod_int operator~() const { return inverse(); } mod_int operator+() const { return *this; } mod_int operator-() const { return mod_int(-num_); } mod_int &operator+=(const mod_int &rhs) { if ((num_ += rhs.num_) >= mod) num_ -= mod; return *this; } mod_int &operator-=(const mod_int &rhs) { if ((num_ -= rhs.num_) < 0) num_ += mod; return *this; } mod_int &operator*=(const mod_int &rhs) { num_ = i64(num_) * rhs.num_ % mod; return *this; } mod_int &operator/=(const mod_int &rhs) { return *this *= rhs.inverse(); } mod_int operator+(const mod_int &rhs) const { return mod_int(*this) += rhs; } mod_int operator-(const mod_int &rhs) const { return mod_int(*this) -= rhs; } mod_int operator*(const mod_int &rhs) const { return mod_int(*this) *= rhs; } mod_int operator/(const mod_int &rhs) const { return mod_int(*this) /= rhs; } bool operator==(const mod_int &rhs) const { return num_ == rhs.num_; } bool operator!=(const mod_int &rhs) const { return num_ != rhs.num_; } friend std::ostream &operator<<(std::ostream &os, const mod_int &rhs) { return os << rhs.num_; } friend std::istream &operator>>(std::istream &is, mod_int &rhs) { i64 num; is >> num; rhs = mod_int<mod>(num); return is; } friend mod_int pow(mod_int lhs, i64 rhs) { mod_int res(1); for (; rhs; rhs >>= 1) { if (rhs & 1) res *= lhs; lhs *= lhs; } return res; } }; // }}} using modint = mod_int<mod>; // mod combination {{{ template <typename T> class mod_combinatorics { std::size_t size_; std::vector<T> fact_, finv_, invs_; public: mod_combinatorics(std::size_t size) : size_(size + 1), fact_(size_), finv_(size_), invs_(size_) { fact_[0] = 1; for (int i = 1; i < size_; ++i) fact_[i] = fact_[i - 1] * T(i); finv_.back() = fact_.back().inverse(); for (int i = int_fast32_t(size_) - 2; i >= 0; --i) finv_[i] = finv_[i + 1] * T(i + 1); for (int i = 0; i < size; ++i) invs_[i] = finv_[i] * fact_[i - 1]; } inline void boundary_check(int n) const { if (size_ < n) { std::cerr << "boudary error" << std::endl; } } // k! T fact(int k) const { boundary_check(k); return fact_[k]; } // P(n, k) T permutation(int n, int k) const { boundary_check(n); if (k < 0 || n < k) return T(0); return fact_[n] * finv_[n - k]; } // C(n, k) T combination(int n, int k) const { boundary_check(n); if (k < 0 || n < k) return T(0); return fact_[n] * finv_[k] * finv_[n - k]; } // H(n, k) T multichoose(int n, int k) const { boundary_check(n + k - 1); if (n < 0 || k < 0) return T(0); return fact_[n + k - 1] * finv_[k] * finv_[n - 1]; } }; // }}} void solver() { int k = input(); string s; cin >> s; vector<int> cnt(26); for (auto c : s) cnt[c - 'a']++; mod_combinatorics<modint> mc(300000); modint ans = 0; range(i, s.size(), s.size() + k + 1) { ans += mc.combination(i - 1, s.size() - 1) * pow(modint(25), i - s.size()) * pow(modint(26), s.size() + k - i); } cout << ans << endl; } signed main(int argc, char *argv[]) { solver(); }
#include <bits/stdc++.h> using namespace std; // template {{{ #define range(i, l, r) for (int i = (int)(l); i < (int)(r); (i) += 1) #define rrange(i, l, r) for (int i = (int)(r)-1; i >= (int)(l); (i) -= 1) #define whole(f, x, ...) \ ([&](decltype((x)) container) { \ return (f)(begin(container), end(container), ##__VA_ARGS__); \ })(x) #define rwhole(f, x, ...) \ ([&](decltype((x)) container) { \ return (f)(rbegin(container), rend(container), ##__VA_ARGS__); \ })(x) #define debug(x) cerr << "(" << __LINE__ << ")" << #x << ": " << (x) << endl using i32 = int; using u32 = unsigned int; using i64 = long long; using u64 = unsigned long long; // constexpr i32 mod = 998244353; constexpr i32 mod = 1e9 + 7; constexpr i32 inf = 1001001001; constexpr i64 infll = 1001001001001001001ll; constexpr int dx[] = {0, -1, 1, 0, -1, 1, -1, 1}; constexpr int dy[] = {-1, 0, 0, 1, -1, -1, 1, 1}; struct IoSetup { IoSetup(int x = 15) { cin.tie(0); ios::sync_with_stdio(0); cout << fixed << setprecision(x); cerr << fixed << setprecision(x); } } iosetup; template <typename T = i64> T input() { T x; cin >> x; return x; } template <typename T> ostream &operator<<(ostream &os, vector<T> &v) { range(i, 0, v.size()) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template <typename T> istream &operator>>(istream &is, vector<T> &v) { for (T &in : v) is >> in; return is; } template <typename T1, typename T2> ostream &operator<<(ostream &os, pair<T1, T2> p) { os << "(" << p.first << ", " << p.second << ")"; return os; } template <typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p) { is >> p.first >> p.second; return is; } template <typename T> vector<T> make_vector(size_t a, T b) { return vector<T>(a, b); } template <typename... Ts> auto make_vector(size_t a, Ts... ts) { return vector<decltype(make_vector(ts...))>(a, make_vector(ts...)); } template <typename T1, typename T2> inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template <typename T1, typename T2> inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } // }}} // mod_int {{{ template <int mod> class mod_int { using i32 = int_fast32_t; using i64 = int_fast64_t; i32 num_; public: mod_int() : num_(0) {} mod_int(i64 num_) : num_(num_ >= 0 ? num_ % mod : (mod + num_ % mod) % mod) {} inline i32 num() const { return num_; } operator i64() { return num_; } inline mod_int inverse() const { i32 a = num_, b = mod, u = 1, v = 0, t; while (b) { t = a / b; std::swap(a -= t * b, b); std::swap(u -= t * v, v); } return mod_int(u); } mod_int operator~() const { return inverse(); } mod_int operator+() const { return *this; } mod_int operator-() const { return mod_int(-num_); } mod_int &operator+=(const mod_int &rhs) { if ((num_ += rhs.num_) >= mod) num_ -= mod; return *this; } mod_int &operator-=(const mod_int &rhs) { if ((num_ -= rhs.num_) < 0) num_ += mod; return *this; } mod_int &operator*=(const mod_int &rhs) { num_ = i64(num_) * rhs.num_ % mod; return *this; } mod_int &operator/=(const mod_int &rhs) { return *this *= rhs.inverse(); } mod_int operator+(const mod_int &rhs) const { return mod_int(*this) += rhs; } mod_int operator-(const mod_int &rhs) const { return mod_int(*this) -= rhs; } mod_int operator*(const mod_int &rhs) const { return mod_int(*this) *= rhs; } mod_int operator/(const mod_int &rhs) const { return mod_int(*this) /= rhs; } bool operator==(const mod_int &rhs) const { return num_ == rhs.num_; } bool operator!=(const mod_int &rhs) const { return num_ != rhs.num_; } friend std::ostream &operator<<(std::ostream &os, const mod_int &rhs) { return os << rhs.num_; } friend std::istream &operator>>(std::istream &is, mod_int &rhs) { i64 num; is >> num; rhs = mod_int<mod>(num); return is; } friend mod_int pow(mod_int lhs, i64 rhs) { mod_int res(1); for (; rhs; rhs >>= 1) { if (rhs & 1) res *= lhs; lhs *= lhs; } return res; } }; // }}} using modint = mod_int<mod>; // mod combination {{{ template <typename T> class mod_combinatorics { std::size_t size_; std::vector<T> fact_, finv_, invs_; public: mod_combinatorics(std::size_t size) : size_(size + 1), fact_(size_), finv_(size_), invs_(size_) { fact_[0] = 1; for (int i = 1; i < size_; ++i) fact_[i] = fact_[i - 1] * T(i); finv_.back() = fact_.back().inverse(); for (int i = int_fast32_t(size_) - 2; i >= 0; --i) finv_[i] = finv_[i + 1] * T(i + 1); for (int i = 0; i < size; ++i) invs_[i] = finv_[i] * fact_[i - 1]; } inline void boundary_check(int n) const { if (size_ < n) { std::cerr << "boudary error" << std::endl; } } // k! T fact(int k) const { boundary_check(k); return fact_[k]; } // P(n, k) T permutation(int n, int k) const { boundary_check(n); if (k < 0 || n < k) return T(0); return fact_[n] * finv_[n - k]; } // C(n, k) T combination(int n, int k) const { boundary_check(n); if (k < 0 || n < k) return T(0); return fact_[n] * finv_[k] * finv_[n - k]; } // H(n, k) T multichoose(int n, int k) const { boundary_check(n + k - 1); if (n < 0 || k < 0) return T(0); return fact_[n + k - 1] * finv_[k] * finv_[n - 1]; } }; // }}} void solver() { int k = input(); string s; cin >> s; mod_combinatorics<modint> mc(3000000); modint ans = 0; range(i, s.size(), s.size() + k + 1) { ans += mc.combination(i - 1, s.size() - 1) * pow(modint(25), i - s.size()) * pow(modint(26), s.size() + k - i); } cout << ans << endl; } signed main(int argc, char *argv[]) { solver(); }
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Runtime Error
#include <bits/stdc++.h> using namespace std; const int maxn = 1e6 + 10, mod = 1e9 + 7; typedef long long ll; ll fact[maxn], inv[maxn]; ll exp(ll a, ll b) { ll res = 1LL; for (; b; b >>= 1, a = (a * a) % mod) if (b & 1) res = (res * a) % mod; return res; } void precalc() { fact[0] = 1LL; for (int i = 1; i < maxn; i++) fact[i] = (fact[i - 1] * i) % mod; inv[maxn - 1] = exp(fact[maxn - 1], mod - 2); for (int i = maxn - 2; i >= 0; i--) inv[i] = (inv[i + 1] * (i + 1)) % mod; } ll ncr(ll n, ll r) { if (n < r) return 0LL; return ((fact[n] * inv[n - r]) % mod * inv[r]) % mod; } int main() { precalc(); ll k; cin >> k; string s; cin >> s; ll n = (int)s.size(); ll l = n + k; ll ans = 0LL; for (ll i = n; i <= l; i++) ans = (ans + ((ncr(i - 1, n - 1) * exp(25, i - n)) % mod * exp(26, l - i)) % mod) % mod; cout << ans << "\n"; }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e6 + 10, mod = 1e9 + 7; typedef long long ll; ll fact[maxn], inv[maxn]; ll exp(ll a, ll b) { ll res = 1LL; for (; b; b >>= 1, a = (a * a) % mod) if (b & 1) res = (res * a) % mod; return res; } void precalc() { fact[0] = 1LL; for (int i = 1; i < maxn; i++) fact[i] = (fact[i - 1] * i) % mod; inv[maxn - 1] = exp(fact[maxn - 1], mod - 2); for (int i = maxn - 2; i >= 0; i--) inv[i] = (inv[i + 1] * (i + 1)) % mod; } ll ncr(ll n, ll r) { if (n < r) return 0LL; return ((fact[n] * inv[n - r]) % mod * inv[r]) % mod; } int main() { precalc(); ll k; cin >> k; string s; cin >> s; ll n = (int)s.size(); ll l = n + k; ll ans = 0LL; for (ll i = n; i <= l; i++) ans = (ans + ((ncr(i - 1, n - 1) * exp(25, i - n)) % mod * exp(26, l - i)) % mod) % mod; cout << ans << "\n"; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; const long long MOD = 1000000007; using ll = long long; const int MAX = 1010000; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } // a^n mod を計算する long long modpow(long long a, long long n, long long mod) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } void solve(long long K, std::string S) { ll ans = 0; COMinit(); for (int i = 0; i <= K; i++) { ans += (COM(K - i + (int)S.size() - 1, (int)S.size() - 1) * modpow(26, i, MOD)) % MOD * modpow(25, K - i, MOD); ans %= MOD; } cout << ans << endl; } int main() { long long K; scanf("%lld", &K); std::string S; std::cin >> S; solve(K, S); return 0; }
#include <bits/stdc++.h> using namespace std; const long long MOD = 1000000007; using ll = long long; const int MAX = 2010000; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } // a^n mod を計算する long long modpow(long long a, long long n, long long mod) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } void solve(long long K, std::string S) { ll ans = 0; COMinit(); for (int i = 0; i <= K; i++) { ans += (COM(K - i + (int)S.size() - 1, (int)S.size() - 1) * modpow(26, i, MOD)) % MOD * modpow(25, K - i, MOD); ans %= MOD; } cout << ans << endl; } int main() { long long K; scanf("%lld", &K); std::string S; std::cin >> S; solve(K, S); return 0; }
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p02632
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Runtime Error
// I SELL YOU...! #include <algorithm> #include <chrono> #include <functional> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <set> #include <vector> using namespace std; using ll = long long; using P = pair<ll, ll>; using TP = tuple<ll, ll, ll>; void init_io() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } #define MAX 1100000 #define MOD 1000000007 ll fac[MAX], finv[MAX], inv[MAX]; ll pv0[MAX], pv1[MAX]; long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; pv0[0] = 1; pv0[1] = 25; pv1[0] = 1; pv1[1] = 26; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; pv0[i] = (pv0[i - 1] * 25) % MOD; pv1[i] = (pv1[i - 1] * 26) % MOD; } } signed main() { COMinit(); init_io(); ll k, n, all = 0, c = 1, ans = 0; string s; cin >> k >> s; n = s.size(); all = n + k; for (ll i = all; i >= n; i--) { ll tmp = (pv0[i - n] * pv1[all - i]) % MOD; tmp *= COM(i - 1, n - 1); tmp %= MOD; ans += tmp; ans %= MOD; } cout << ans << endl; }
// I SELL YOU...! #include <algorithm> #include <chrono> #include <functional> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <set> #include <vector> using namespace std; using ll = long long; using P = pair<ll, ll>; using TP = tuple<ll, ll, ll>; void init_io() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } #define MAX 3100000 #define MOD 1000000007 ll fac[MAX], finv[MAX], inv[MAX]; ll pv0[MAX], pv1[MAX]; long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; pv0[0] = 1; pv0[1] = 25; pv1[0] = 1; pv1[1] = 26; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; pv0[i] = (pv0[i - 1] * 25) % MOD; pv1[i] = (pv1[i - 1] * 26) % MOD; } } signed main() { COMinit(); init_io(); ll k, n, all = 0, c = 1, ans = 0; string s; cin >> k >> s; n = s.size(); all = n + k; for (ll i = all; i >= n; i--) { ll tmp = (pv0[i - n] * pv1[all - i]) % MOD; tmp *= COM(i - 1, n - 1); tmp %= MOD; ans += tmp; ans %= MOD; } cout << ans << endl; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> #define ll long long int #define uu first #define vv second #define pii pair<int, int> #define pll pair<ll, ll> #define INF 1e9 #define fastRead \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0) using namespace std; const int MAX = 1e6 + 6; const ll MOD = 1e9 + 7; ll fact[MAX], invFact[MAX]; ll bigMod(ll a, ll b) { if (b == 0) return 1LL; ll ret = bigMod(a, b / 2); ret = (ret * ret) % MOD; if (b & 1) ret = (ret * a) % MOD; return ret; } ll invMod(ll x) { return bigMod(x, MOD - 2); } void pre() { fact[0] = 1; for (int i = 1; i < MAX; i++) { fact[i] = (fact[i - 1] * i) % MOD; } invFact[MAX - 1] = invMod(fact[MAX - 1]); for (int i = MAX - 2; i >= 0; i--) { invFact[i] = (invFact[i + 1] * (i + 1)) % MOD; } // for(int i =0 ; i < 5; i++ ) cout<<invFact[i]<<" "; } ll ncr(ll n, ll r) { ll lob = fact[n]; ll hor = (invFact[r] * invFact[n - r]) % MOD; return (lob * hor) % MOD; } int main() { fastRead; pre(); int k; string s; cin >> k >> s; int n = s.size(); int tot = n + k; ll ans = bigMod(26, tot); for (int i = 0; i < n; i++) { ll tmp = (ncr(tot, i) * bigMod(25, tot - i)) % MOD; ans = (ans - tmp) % MOD; ans = (ans + MOD) % MOD; } cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> #define ll long long int #define uu first #define vv second #define pii pair<int, int> #define pll pair<ll, ll> #define INF 1e9 #define fastRead \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0) using namespace std; const int MAX = 2e6 + 6; const ll MOD = 1e9 + 7; ll fact[MAX], invFact[MAX]; ll bigMod(ll a, ll b) { if (b == 0) return 1LL; ll ret = bigMod(a, b / 2); ret = (ret * ret) % MOD; if (b & 1) ret = (ret * a) % MOD; return ret; } ll invMod(ll x) { return bigMod(x, MOD - 2); } void pre() { fact[0] = 1; for (int i = 1; i < MAX; i++) { fact[i] = (fact[i - 1] * i) % MOD; } invFact[MAX - 1] = invMod(fact[MAX - 1]); for (int i = MAX - 2; i >= 0; i--) { invFact[i] = (invFact[i + 1] * (i + 1)) % MOD; } // for(int i =0 ; i < 5; i++ ) cout<<invFact[i]<<" "; } ll ncr(ll n, ll r) { ll lob = fact[n]; ll hor = (invFact[r] * invFact[n - r]) % MOD; return (lob * hor) % MOD; } int main() { fastRead; pre(); int k; string s; cin >> k >> s; int n = s.size(); int tot = n + k; ll ans = bigMod(26, tot); for (int i = 0; i < n; i++) { ll tmp = (ncr(tot, i) * bigMod(25, tot - i)) % MOD; ans = (ans - tmp) % MOD; ans = (ans + MOD) % MOD; } cout << ans << '\n'; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long ll; #define FOR(var, begin, end) for (int var = (begin); var <= (end); var++) #define RFOR(var, begin, end) for (int var = (begin); var >= (end); var--) #define REP(var, length) FOR(var, 0, length - 1) #define RREP(var, length) RFOR(var, length - 1, 0) #define EACH(value, var) for (auto value : var) #define SORT(var) sort(var.begin(), var.end()) #define REVERSE(var) reverse(var.begin(), var.end()) #define RSORT(var) \ SORT(var); \ REVERSE(var) #define OPTIMIZE_STDIO \ ios::sync_with_stdio(false); \ cin.tie(0); \ cout.precision(10); \ cout << fixed #define endl '\n' const int INF = 1e9; const int MOD = 1e9 + 7; const ll LINF = 1e18; struct mint { ll x; mint() : x(0) {} mint(ll x) : x((x % MOD + MOD) % MOD) {} mint &operator+=(const mint &r) { if ((x += r.x) >= MOD) { x -= MOD; } return *this; } mint &operator-=(const mint &r) { if ((x -= r.x) < 0) { x += MOD; } return *this; } mint &operator*=(const mint &r) { if ((x *= r.x) > MOD) { x %= MOD; } return *this; } mint &operator++() { if ((++x) >= MOD) { x -= MOD; } return *this; } mint operator++(int) { mint ret = x; if ((++x) >= MOD) { x -= MOD; } return ret; } mint &operator--() { if ((--x) < 0) { x += MOD; } return *this; } mint operator--(int) { mint ret = x; if ((--x) < 0) { x += MOD; } return ret; } mint operator+(const mint &r) { mint ret; return ret = x + r.x; } mint operator-(const mint &r) { mint ret; return ret = x - r.x; } mint operator*(const mint &r) { mint ret; return ret = x * r.x; } mint operator-() { return mint() - *this; } mint pow(ll t) { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } bool operator<(const mint &a) { return x < a.x; } bool operator>(const mint &a) { return x > a.x; } bool operator<=(const mint &a) { return x <= a.x; } bool operator>=(const mint &a) { return x >= a.x; } bool operator==(const mint &a) { return x == a.x; } bool operator!=(const mint &a) { return x != a.x; } }; ostream &operator<<(ostream &os, const mint &r) { os << r.x; return os; } ostream &operator>>(ostream &os, const mint &r) { os >> r.x; return os; } struct PCMod { vector<ll> fact, inv, finv; PCMod(int n) : fact(n + 1), inv(n + 1), finv(n + 1) { fact[0] = 1; fact[1] = 1; inv[0] = 1; inv[1] = 1; finv[0] = 1; finv[1] = 1; FOR(i, 2, n + 1) { fact[i] = fact[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } ll C(int m, int n) { if (m < n) return 0; return fact[m] * (finv[n] * finv[m - n] % MOD) % MOD; } mint operator()(int m, int n) { // return P(m, n); return C(m, n); } } C(200005); void solve(istream &cin, ostream &cout) { ll k; string s; cin >> k >> s; ll n = s.size(); mint ans = 0; FOR(i, 0, k) { mint add = C(n + i - 1, n - 1); add *= mint(25).pow(i); add *= mint(26).pow(k - i); ans += add; } cout << ans << endl; } #ifndef TEST int main() { OPTIMIZE_STDIO; solve(cin, cout); return 0; } #endif
#include <bits/stdc++.h> using namespace std; typedef long long ll; #define FOR(var, begin, end) for (int var = (begin); var <= (end); var++) #define RFOR(var, begin, end) for (int var = (begin); var >= (end); var--) #define REP(var, length) FOR(var, 0, length - 1) #define RREP(var, length) RFOR(var, length - 1, 0) #define EACH(value, var) for (auto value : var) #define SORT(var) sort(var.begin(), var.end()) #define REVERSE(var) reverse(var.begin(), var.end()) #define RSORT(var) \ SORT(var); \ REVERSE(var) #define OPTIMIZE_STDIO \ ios::sync_with_stdio(false); \ cin.tie(0); \ cout.precision(10); \ cout << fixed #define endl '\n' const int INF = 1e9; const int MOD = 1e9 + 7; const ll LINF = 1e18; struct mint { ll x; mint() : x(0) {} mint(ll x) : x((x % MOD + MOD) % MOD) {} mint &operator+=(const mint &r) { if ((x += r.x) >= MOD) { x -= MOD; } return *this; } mint &operator-=(const mint &r) { if ((x -= r.x) < 0) { x += MOD; } return *this; } mint &operator*=(const mint &r) { if ((x *= r.x) > MOD) { x %= MOD; } return *this; } mint &operator++() { if ((++x) >= MOD) { x -= MOD; } return *this; } mint operator++(int) { mint ret = x; if ((++x) >= MOD) { x -= MOD; } return ret; } mint &operator--() { if ((--x) < 0) { x += MOD; } return *this; } mint operator--(int) { mint ret = x; if ((--x) < 0) { x += MOD; } return ret; } mint operator+(const mint &r) { mint ret; return ret = x + r.x; } mint operator-(const mint &r) { mint ret; return ret = x - r.x; } mint operator*(const mint &r) { mint ret; return ret = x * r.x; } mint operator-() { return mint() - *this; } mint pow(ll t) { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } bool operator<(const mint &a) { return x < a.x; } bool operator>(const mint &a) { return x > a.x; } bool operator<=(const mint &a) { return x <= a.x; } bool operator>=(const mint &a) { return x >= a.x; } bool operator==(const mint &a) { return x == a.x; } bool operator!=(const mint &a) { return x != a.x; } }; ostream &operator<<(ostream &os, const mint &r) { os << r.x; return os; } ostream &operator>>(ostream &os, const mint &r) { os >> r.x; return os; } struct PCMod { vector<ll> fact, inv, finv; PCMod(int n) : fact(n + 1), inv(n + 1), finv(n + 1) { fact[0] = 1; fact[1] = 1; inv[0] = 1; inv[1] = 1; finv[0] = 1; finv[1] = 1; FOR(i, 2, n + 1) { fact[i] = fact[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } ll C(int m, int n) { if (m < n) return 0; return fact[m] * (finv[n] * finv[m - n] % MOD) % MOD; } mint operator()(int m, int n) { return C(m, n); } } C(2000005); void solve(istream &cin, ostream &cout) { ll k; string s; cin >> k >> s; ll n = s.size(); mint ans = 0; FOR(i, 0, k) { mint add = C(n + i - 1, n - 1); add *= mint(25).pow(i); add *= mint(26).pow(k - i); ans += add; } cout << ans << endl; } #ifndef TEST int main() { OPTIMIZE_STDIO; solve(cin, cout); return 0; } #endif
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p02632
C++
Runtime Error
#pragma GCC optimize("O3") #define _CRT_SECURE_NO_WARNINGS #include <bits/stdc++.h> using namespace std; using base = complex<double>; #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; #define M 1000000007 #define M2 998244353 #define ll long long #define pll pair<long, long> #define REP(i, a, b) for (ll i = a; i < b; i++) #define REPI(i, a, b) for (ll i = b - 1; i >= a; i--) #define ff first #define ss second #define pb push_back #define db pop_back #define mp make_pair #define mt make_tuple #define g(a, b) get<a>(b) #define INF (ll)1e18 + 100 #define vl vector<ll> #define vi vector<int> #define vll vector<pair<ll, ll>> #define vii vector<pair<int, int>> #define all(v) v.begin(), v.end() #define bset(a, p) ((a) | (1ll << (p))) #define bchk(a, p) ((a) & (1ll << (p))) #define bxor(a, p) ((a) ^ (1ll << (p))); #define brem(a, p) (bchk(a, p) ? (bxor(a, p)) : (a)) #define INT_SIZE 32 /*SOME BITMASK KNOWLEDGE 1)x & (x - 1):sets the last one bit of x to zero power of two exactly when x & (x − 1) = 0. 2)x & -x:sets all the one bits to zero, except last one bit 3)x | (x - 1):inverts all the bits after the last one bit*/ #define endl "\n" #define p0(a) cout << a << " " #define p1(a) cout << a << endl #define p2(a, b) cout << a << " " << b << endl #define p3(a, b, c) cout << a << " " << b << " " << c << endl #define p4(a, b, c, d) cout << a << " " << b << " " << c << " " << d << endl #define o_set \ tree<int, null_type, less<int>, rb_tree_tag, \ tree_order_statistics_node_update> #define o_setll \ tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> // member functions : // 1. order_of_key(k) : number of elements strictly lesser than k // 2. find_by_order(k) : k-th element in the set ll powM(ll x, ll y, ll m) { ll ans = 1, r = 1; x %= m; while (r > 0 && r <= y) { if (r & y) { ans *= x; ans %= m; } r <<= 1; x *= x; x %= m; } return ans; } ll modI(ll a, ll m) { ll m0 = m, y = 0, x = 1; if (m == 1) return 0; while (a > 1) { ll q = a / m; ll t = m; m = a % m; a = t; t = y; y = x - q * y; x = t; } if (x < 0) x += m0; return x; } ll logint(ll x, ll y) { ll ans = 0; ll a = 1; for (ll i = 0; i <= x; i++) { if (x < a) { return ans; } ans++; a *= y; } return -1; } ll extended(ll a, ll b, ll &x, ll &y) { if (a == 0) { x = 0; y = 1; return b; } ll x1, y1; ll d = extended(b % a, a, x1, y1); x = y1 - (b / a) * x1; y = x1; return d; } const int N = 1e6 + 5; ll fact[N]; ll inv(ll i) { if (i < 0) { return 1; } else { return modI(fact[i], M); } } void solve() { ll k; cin >> k; string s; cin >> s; ll n = s.size(); fact[0] = 1; REP(i, 1, N) { fact[i] = fact[i - 1] * i; fact[i] %= M; // inv[i] = modI(fact[i], M); } // ll dp[n + 1]; // REP(i, 0, n + 1) { // dp[i] = 0; // } // dp[0] = 1; // REP(i, 0, n + k) { // dp[n] *= 26; // dp[n] %= M; // for (ll j = n - 1; j >= 0; j--) { // dp[j] *= 25; // dp[j] %= M; // if (j > 0) { // dp[j] += dp[j - 1]; // dp[j] %= M; // } // } // } // cout << dp[n] % M; ll ans = 0; REP(i, 0, k + 1) { // ans += ((powM(26, k - i, M) * powM(25, i, M)) % M * (fact[n + i - 1] * // (((inv(i - 1) * inv(n)) % M) % M)) % M; ll temp = (powM(26, k - i, M) * powM(25, i, M)) % M; temp *= fact[n + i - 1]; temp %= M; temp *= inv(n - 1) % M; temp %= M; temp *= inv(i) % M; temp %= M; ans += temp; ans %= M; } cout << ans; } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); // freopen("input.txt", "r", stdin); // freopen("input.txt", "w", stdout); ll ntc; // cin >> ntc; ntc = 1; REP(tc, 1, ntc + 1) { // cout << "Case #" << tc << ": "; solve(); } }
#pragma GCC optimize("O3") #define _CRT_SECURE_NO_WARNINGS #include <bits/stdc++.h> using namespace std; using base = complex<double>; #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; #define M 1000000007 #define M2 998244353 #define ll long long #define pll pair<long, long> #define REP(i, a, b) for (ll i = a; i < b; i++) #define REPI(i, a, b) for (ll i = b - 1; i >= a; i--) #define ff first #define ss second #define pb push_back #define db pop_back #define mp make_pair #define mt make_tuple #define g(a, b) get<a>(b) #define INF (ll)1e18 + 100 #define vl vector<ll> #define vi vector<int> #define vll vector<pair<ll, ll>> #define vii vector<pair<int, int>> #define all(v) v.begin(), v.end() #define bset(a, p) ((a) | (1ll << (p))) #define bchk(a, p) ((a) & (1ll << (p))) #define bxor(a, p) ((a) ^ (1ll << (p))); #define brem(a, p) (bchk(a, p) ? (bxor(a, p)) : (a)) #define INT_SIZE 32 /*SOME BITMASK KNOWLEDGE 1)x & (x - 1):sets the last one bit of x to zero power of two exactly when x & (x − 1) = 0. 2)x & -x:sets all the one bits to zero, except last one bit 3)x | (x - 1):inverts all the bits after the last one bit*/ #define endl "\n" #define p0(a) cout << a << " " #define p1(a) cout << a << endl #define p2(a, b) cout << a << " " << b << endl #define p3(a, b, c) cout << a << " " << b << " " << c << endl #define p4(a, b, c, d) cout << a << " " << b << " " << c << " " << d << endl #define o_set \ tree<int, null_type, less<int>, rb_tree_tag, \ tree_order_statistics_node_update> #define o_setll \ tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> // member functions : // 1. order_of_key(k) : number of elements strictly lesser than k // 2. find_by_order(k) : k-th element in the set ll powM(ll x, ll y, ll m) { ll ans = 1, r = 1; x %= m; while (r > 0 && r <= y) { if (r & y) { ans *= x; ans %= m; } r <<= 1; x *= x; x %= m; } return ans; } ll modI(ll a, ll m) { ll m0 = m, y = 0, x = 1; if (m == 1) return 0; while (a > 1) { ll q = a / m; ll t = m; m = a % m; a = t; t = y; y = x - q * y; x = t; } if (x < 0) x += m0; return x; } ll logint(ll x, ll y) { ll ans = 0; ll a = 1; for (ll i = 0; i <= x; i++) { if (x < a) { return ans; } ans++; a *= y; } return -1; } ll extended(ll a, ll b, ll &x, ll &y) { if (a == 0) { x = 0; y = 1; return b; } ll x1, y1; ll d = extended(b % a, a, x1, y1); x = y1 - (b / a) * x1; y = x1; return d; } const int N = 2e6 + 5; ll fact[N]; ll inv(ll i) { if (i < 0) { return 1; } else { return modI(fact[i], M); } } void solve() { ll k; cin >> k; string s; cin >> s; ll n = s.size(); fact[0] = 1; REP(i, 1, N) { fact[i] = fact[i - 1] * i; fact[i] %= M; // inv[i] = modI(fact[i], M); } // ll dp[n + 1]; // REP(i, 0, n + 1) { // dp[i] = 0; // } // dp[0] = 1; // REP(i, 0, n + k) { // dp[n] *= 26; // dp[n] %= M; // for (ll j = n - 1; j >= 0; j--) { // dp[j] *= 25; // dp[j] %= M; // if (j > 0) { // dp[j] += dp[j - 1]; // dp[j] %= M; // } // } // } // cout << dp[n] % M; ll ans = 0; REP(i, 0, k + 1) { // ans += ((powM(26, k - i, M) * powM(25, i, M)) % M * (fact[n + i - 1] * // (((inv(i - 1) * inv(n)) % M) % M)) % M; ll temp = (powM(26, k - i, M) * powM(25, i, M)) % M; temp *= fact[n + i - 1]; temp %= M; temp *= inv(n - 1) % M; temp %= M; temp *= inv(i) % M; temp %= M; ans += temp; ans %= M; } cout << ans; } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); // freopen("input.txt", "r", stdin); // freopen("input.txt", "w", stdout); ll ntc; // cin >> ntc; ntc = 1; REP(tc, 1, ntc + 1) { // cout << "Case #" << tc << ": "; solve(); } }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long int ll; typedef pair<int, int> ii; struct fastio { fastio() { ios::sync_with_stdio(false); cout << setprecision(10) << fixed; cin.tie(0); } }; fastio _fast_io; const int mod = 1e9 + 7; int k; string s; const int N = 1e6 + 1; ll fac[N]; ll inv[N]; ll power(ll a, ll b) { ll res = 1; while (b) { if (b & 1) { res = (res * a) % mod; } a = a * a % mod; b >>= 1; } return res; } void init() { fac[0] = 1; for (int i = 1; i < N; ++i) { fac[i] = fac[i - 1] * i % mod; } inv[N - 1] = power(fac[N - 1], mod - 2); for (int i = N - 2; i >= 0; --i) { inv[i] = inv[i + 1] * (i + 1) % mod; } } ll C(ll a, ll b) { return fac[a] * inv[b] % mod * inv[a - b] % mod; } int main() { init(); cin >> k >> s; int n = s.length(); ll res = 0; ll sum = k + n; for (int i = 0; i <= k; ++i) { res = (res + power(26, i) * C(sum - 1 - i, n - 1) % mod * power(25, k - i) % mod) % mod; } cout << res << endl; return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long int ll; typedef pair<int, int> ii; struct fastio { fastio() { ios::sync_with_stdio(false); cout << setprecision(10) << fixed; cin.tie(0); } }; fastio _fast_io; const int mod = 1e9 + 7; int k; string s; const int N = 1e6 * 2 + 10; ll fac[N]; ll inv[N]; ll power(ll a, ll b) { ll res = 1; while (b) { if (b & 1) { res = (res * a) % mod; } a = a * a % mod; b >>= 1; } return res; } void init() { fac[0] = 1; for (int i = 1; i < N; ++i) { fac[i] = fac[i - 1] * i % mod; } inv[N - 1] = power(fac[N - 1], mod - 2); for (int i = N - 2; i >= 0; --i) { inv[i] = inv[i + 1] * (i + 1) % mod; } } ll C(ll a, ll b) { return fac[a] * inv[b] % mod * inv[a - b] % mod; } int main() { init(); cin >> k >> s; int n = s.length(); ll res = 0; ll sum = k + n; for (int i = 0; i <= k; ++i) { res = (res + power(26, i) * C(sum - 1 - i, n - 1) % mod * power(25, k - i) % mod) % mod; } cout << res << endl; return 0; }
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0
p02632
C++
Runtime Error
#include <bits/stdc++.h> #define MSET(x, y) memset(x, y, sizeof(x)) #define F first #define S second #define MP make_pair #define PB push_back #define SZ size() #define M 3000005 #define ll long long #define ld long double #define INF 1e18 #define endl "\n" #define fastio \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0) using namespace std; ll MOD = 1000000007; string yes = "YES\n"; string no = "NO\n"; #define PI 3.1415926535 ll k; string s; ll power(ll x, ll y, ll p) { ll res = 1; x = x % p; while (y > 0) { if (y & 1) res = (res * x) % p; y = y >> 1; // y = y/2 x = (x * x) % p; } return res; } ll fac[M], invfac[M]; ll pre() { fac[0] = 1; for (ll i = 1; i < M; i++) fac[i] = (fac[i - 1] * i) % MOD; invfac[M - 1] = power(fac[M - 1], MOD - 2, MOD); for (ll i = M - 2; i >= 0; i--) { invfac[i] = (invfac[i + 1] * (i + 1)) % MOD; } } ll ncr(ll n, ll r, ll p) { if (r < 0 or r > n) return 0; return ((((fac[n] * invfac[r]) % p) * invfac[n - r]) % p); } int32_t main() { fastio; cin >> k; cin >> s; ll n = s.size(); pre(); ll ans = 0; for (ll i = 0; i <= k; i++) { ans += ((((ncr(n + k - i - 1, n - 1, MOD) * power(25, k - i, MOD)) % MOD) * power(26, i, MOD) % MOD) % MOD); ans %= MOD; } cout << ans << endl; }
#include <bits/stdc++.h> #define MSET(x, y) memset(x, y, sizeof(x)) #define F first #define S second #define MP make_pair #define PB push_back #define SZ size() #define M 3000005 #define ll long long #define ld long double #define INF 1e18 #define endl "\n" #define fastio \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0) using namespace std; ll MOD = 1000000007; string yes = "YES\n"; string no = "NO\n"; #define PI 3.1415926535 ll k; string s; ll power(ll x, ll y, ll p) { ll res = 1; x = x % p; while (y > 0) { if (y & 1) res = (res * x) % p; y = y >> 1; // y = y/2 x = (x * x) % p; } return res; } ll fac[M], invfac[M]; void pre() { fac[0] = 1; for (ll i = 1; i < M; i++) fac[i] = (fac[i - 1] * i) % MOD; invfac[M - 1] = power(fac[M - 1], MOD - 2, MOD); for (ll i = M - 2; i >= 0; i--) { invfac[i] = (invfac[i + 1] * (i + 1)) % MOD; } } ll ncr(ll n, ll r, ll p) { if (r < 0 or r > n) return 0; return ((((fac[n] * invfac[r]) % p) * invfac[n - r]) % p); } int32_t main() { fastio; cin >> k; cin >> s; ll n = s.size(); pre(); ll ans = 0; for (ll i = 0; i <= k; i++) { ans += ((((ncr(n + k - i - 1, n - 1, MOD) * power(25, k - i, MOD)) % MOD) * power(26, i, MOD) % MOD) % MOD); ans %= MOD; } cout << ans << endl; }
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0
p02632
C++
Runtime Error
#include <iostream> using namespace std; const int MOD = 1000000007; const int BUF = 1000005; int factorial[BUF]; int add(int a, int b) { return (1LL * a + b) % MOD; } int mul(int a, int b) { return 1LL * a * b % MOD; } int modpow(int p, int n) { if (n == 0) return 1; int t = modpow(p, n / 2); return n & 1 ? mul(t, mul(t, p)) : mul(t, t); } int inv(int v) { return modpow(v, MOD - 2); } int nCk(int n, int k) { return mul(factorial[n], mul(inv(factorial[k]), inv(factorial[n - k]))); } int nHk(int n, int k) { return nCk(n + k - 1, k); } int K; int sLeng; void read() { string dummy; cin >> K >> dummy; sLeng = dummy.size(); } void work() { int ans = 0; for (int i = 0; i <= K; ++i) { ans = add(ans, mul(nHk(sLeng, i), mul(modpow(25, i), modpow(26, K - i)))); } cout << ans << endl; } int main() { factorial[0] = 1; for (int i = 1; i < BUF; ++i) { factorial[i] = mul(i, factorial[i - 1]); } read(); work(); return 0; }
#include <iostream> using namespace std; const int MOD = 1000000007; const int BUF = 2000005; int factorial[BUF]; int add(int a, int b) { return (1LL * a + b) % MOD; } int mul(int a, int b) { return 1LL * a * b % MOD; } int modpow(int p, int n) { if (n == 0) return 1; int t = modpow(p, n / 2); return n & 1 ? mul(t, mul(t, p)) : mul(t, t); } int inv(int v) { return modpow(v, MOD - 2); } int nCk(int n, int k) { return mul(factorial[n], mul(inv(factorial[k]), inv(factorial[n - k]))); } int nHk(int n, int k) { return nCk(n + k - 1, k); } int K; int sLeng; void read() { string dummy; cin >> K >> dummy; sLeng = dummy.size(); } void work() { int ans = 0; for (int i = 0; i <= K; ++i) { ans = add(ans, mul(nHk(sLeng, i), mul(modpow(25, i), modpow(26, K - i)))); } cout << ans << endl; } int main() { factorial[0] = 1; for (int i = 1; i < BUF; ++i) { factorial[i] = mul(i, factorial[i - 1]); } read(); work(); return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; int const nax = 1e3 + 10; const int mod = 1000000007; // void plusle(int &a, int b) { if ((a += b) >= mod) a -= mod; } void minun(int &a, int b) { if ((a -= b) < 0) a += mod; } int add(int a, int b) { return ((a += b) >= mod) ? a - mod : a; } int sub(int a, int b) { return ((a -= b) < 0) ? a + mod : a; } int mul(int a, int b) { return 1LL * a * b % mod; } int power(int a, int b) { int res = 1; for (; b > 0; b >>= 1, a = mul(a, a)) if (b & 1) res = mul(res, a); return res; } const int Mx = 2e6 + 10; int fac[Mx], invf[Mx]; void prefact() { fac[0] = 1; for (int i = 1; i < Mx; i++) { fac[i] = mul(fac[i - 1], i); } invf[Mx - 1] = power(fac[Mx - 1], mod - 2); for (int i = Mx - 2; i >= 0; i--) { invf[i] = mul(invf[i + 1], i + 1); } } int ncr(int N, int R) { if (R > N) return 0; if (R == 0 || R == N) return 1; return mul(fac[N], mul(invf[N - R], invf[R])); } int k; char s[nax]; int main() { prefact(); scanf("%d", &k); scanf("%s", s + 1); int n = strlen(s + 1); int ans = 0; for (int i = 0; i <= k; ++i) { plusle(ans, mul(ncr(n + k, i), power(25, i))); } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; int const nax = 2e6 + 10; const int mod = 1000000007; // void plusle(int &a, int b) { if ((a += b) >= mod) a -= mod; } void minun(int &a, int b) { if ((a -= b) < 0) a += mod; } int add(int a, int b) { return ((a += b) >= mod) ? a - mod : a; } int sub(int a, int b) { return ((a -= b) < 0) ? a + mod : a; } int mul(int a, int b) { return 1LL * a * b % mod; } int power(int a, int b) { int res = 1; for (; b > 0; b >>= 1, a = mul(a, a)) if (b & 1) res = mul(res, a); return res; } const int Mx = 2e6 + 10; int fac[Mx], invf[Mx]; void prefact() { fac[0] = 1; for (int i = 1; i < Mx; i++) { fac[i] = mul(fac[i - 1], i); } invf[Mx - 1] = power(fac[Mx - 1], mod - 2); for (int i = Mx - 2; i >= 0; i--) { invf[i] = mul(invf[i + 1], i + 1); } } int ncr(int N, int R) { if (R > N) return 0; if (R == 0 || R == N) return 1; return mul(fac[N], mul(invf[N - R], invf[R])); } int k; char s[nax]; int main() { prefact(); scanf("%d", &k); scanf("%s", s + 1); int n = strlen(s + 1); int ans = 0; for (int i = 0; i <= k; ++i) { plusle(ans, mul(ncr(n + k, i), power(25, i))); } printf("%d\n", ans); }
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0
p02632
C++
Runtime Error
#include <bits/stdc++.h> using ll = long long; using namespace std; const int N = 1e6 + 10; const int mod = 1e9 + 7; ll fac[N], inv[N]; ll binpow(ll a, ll b) { ll res = 1; while (b) { if (b & 1) res = res * a % mod; a = a * a % mod; b >>= 1; } return res; } void init() { fac[0] = 1; for (int i = 1; i < N; i++) fac[i] = fac[i - 1] * i % mod; inv[N - 1] = binpow(fac[N - 1], mod - 2); for (int i = N - 2; i >= 0; i--) inv[i] = inv[i + 1] * (i + 1) % mod; } ll C(ll n, ll m) { return fac[n] * inv[m] % mod * inv[n - m] % mod; } int main() { init(); int k; string s; cin >> k >> s; int n = k + s.size(); ll ans = 0; for (int i = s.size(); i <= n; i++) ans += C(n, i) * binpow(25, n - i) % mod, ans %= mod; cout << ans << "\n"; }
#include <bits/stdc++.h> using ll = long long; using namespace std; const int N = 2e6 + 10; const int mod = 1e9 + 7; ll fac[N], inv[N]; ll binpow(ll a, ll b) { ll res = 1; while (b) { if (b & 1) res = res * a % mod; a = a * a % mod; b >>= 1; } return res; } void init() { fac[0] = 1; for (int i = 1; i < N; i++) fac[i] = fac[i - 1] * i % mod; inv[N - 1] = binpow(fac[N - 1], mod - 2); for (int i = N - 2; i >= 0; i--) inv[i] = inv[i + 1] * (i + 1) % mod; } ll C(ll n, ll m) { return fac[n] * inv[m] % mod * inv[n - m] % mod; } int main() { init(); int k; string s; cin >> k >> s; int n = k + s.size(); ll ans = 0; for (int i = s.size(); i <= n; i++) ans += C(n, i) * binpow(25, n - i) % mod, ans %= mod; cout << ans << "\n"; }
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0
p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int MAX = 510000; vector<long> fact(MAX), finv(MAX), inve(MAX); void init() { fact.at(0) = fact.at(1) = 1; finv.at(0) = finv.at(1) = 1; inve.at(1) = 1; for (int i = 2; i < MAX; i++) { fact.at(i) = fact.at(i - 1) * i % MOD; inve.at(i) = MOD - inve.at(MOD % i) * (MOD / i) % MOD; finv.at(i) = finv.at(i - 1) * inve.at(i) % MOD; } } long com(long n, long r) { if (n < r || n < 0 || r < 0) return 0; return fact.at(n) * (finv.at(r) * finv.at(n - r) % MOD) % MOD; } long mpow(long a, long b) { long res = 1; while (b > 0) { if (b & 1) res = res * a % MOD; a = a * a % MOD; b >>= 1; } return res; } int main() { init(); cin.tie(nullptr); ios::sync_with_stdio(false); int N; string S; cin >> N >> S; int M = S.size(); N += M; long ans = 0; for (int i = M; i <= N; i++) { long tmp = com(i - 1, M - 1); (tmp *= mpow(25, i - M)) %= MOD; (tmp *= mpow(26, N - i)) %= MOD; (ans += tmp) %= MOD; } cout << ans << "\n"; }
#include <bits/stdc++.h> using namespace std; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int MAX = 3000000; vector<long> fact(MAX), finv(MAX), inve(MAX); void init() { fact.at(0) = fact.at(1) = 1; finv.at(0) = finv.at(1) = 1; inve.at(1) = 1; for (int i = 2; i < MAX; i++) { fact.at(i) = fact.at(i - 1) * i % MOD; inve.at(i) = MOD - inve.at(MOD % i) * (MOD / i) % MOD; finv.at(i) = finv.at(i - 1) * inve.at(i) % MOD; } } long com(long n, long r) { if (n < r || n < 0 || r < 0) return 0; return fact.at(n) * (finv.at(r) * finv.at(n - r) % MOD) % MOD; } long mpow(long a, long b) { long res = 1; while (b > 0) { if (b & 1) res = res * a % MOD; a = a * a % MOD; b >>= 1; } return res; } int main() { init(); cin.tie(nullptr); ios::sync_with_stdio(false); int N; string S; cin >> N >> S; int M = S.size(); N += M; long ans = 0; for (int i = M; i <= N; i++) { long tmp = com(i - 1, M - 1); (tmp *= mpow(25, i - M)) %= MOD; (tmp *= mpow(26, N - i)) %= MOD; (ans += tmp) %= MOD; } cout << ans << "\n"; }
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p02632
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; #define ll long long int #define endl "\n" #define F first #define S second #define def(x) cerr << #x << " is " << x << endl; #define mod 1000000007 #define pb push_back #define FOR(i, a, n) for (ll i = a; i < n; i++) #define ios \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0); #define all(a) a.begin(), a.end() const int NUM = 2e5 + 5; #define error(args...) \ { \ string _s = #args; \ replace(_s.begin(), _s.end(), ',', ' '); \ stringstream _ss(_s); \ istream_iterator<string> _it(_ss); \ err(_it, args); \ } void err(istream_iterator<string> it) {} template <typename T, typename... Args> void err(istream_iterator<string> it, T a, Args... args) { cerr << *it << " = " << a << endl; err(++it, args...); } ll const N = 2e6; ll dp[N], f[N], inv[N]; // f = factorial, inv[i] = 1/f[i] ll len, n, ans = 0; ll bp(ll x, ll n, ll MOD) { if (n == 0) return 1; ll ans = bp(x, n / 2, MOD) % MOD; ans = (ans * ans) % MOD; if (n % 2 == 0) return ans; else return (ans * x) % MOD; } ll calc(ll n, ll r) { return (f[n] * inv[n - r] % mod) * inv[r] % mod; } int main() { ios int num_tests = 1; // cin>>num_tests; while (num_tests-- > 0) { string s; cin >> len >> s; n = s.size(); len += n; // ans = summation of (C(len,i)*pow(25,len-i)) // previous one got TLE // So we have to precompute f[0] = inv[0] = 1; FOR(i, 1, len + 1) { f[i] = f[i - 1] * i % mod; inv[i] = bp(f[i], mod - 2, mod); } dp[len] = 1; for (ll i = len - 1; i >= 1; i--) { dp[i] = calc(len, i) * bp(25, len - i, mod) % mod; dp[i] += mod; dp[i] %= mod; } FOR(i, n, len + 1) { ans = (ans + dp[i]) % mod; } cout << ans; } }
#include <bits/stdc++.h> using namespace std; #define ll long long int #define endl "\n" #define F first #define S second #define def(x) cerr << #x << " is " << x << endl; #define mod 1000000007 #define pb push_back #define FOR(i, a, n) for (ll i = a; i < n; i++) #define ios \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0); #define all(a) a.begin(), a.end() const int NUM = 2e5 + 5; #define error(args...) \ { \ string _s = #args; \ replace(_s.begin(), _s.end(), ',', ' '); \ stringstream _ss(_s); \ istream_iterator<string> _it(_ss); \ err(_it, args); \ } void err(istream_iterator<string> it) {} template <typename T, typename... Args> void err(istream_iterator<string> it, T a, Args... args) { cerr << *it << " = " << a << endl; err(++it, args...); } ll const N = 2e6; ll dp[N], f[N], inv[N]; // f = factorial, inv[i] = 1/f[i] ll len, n, ans = 0; ll bp(ll x, ll y, ll MOD) { ll ans = 1; while (y) { if (y & 1) ans = ans * x % MOD; x = x * x % MOD, y >>= 1; } return ans; } ll calc(ll n, ll r) { return (f[n] * inv[n - r] % mod) * inv[r] % mod; } int main() { ios int num_tests = 1; // cin>>num_tests; while (num_tests-- > 0) { string s; cin >> len >> s; n = s.size(); len += n; // ans = summation of (C(len,i)*pow(25,len-i)) // previous one got TLE // So we have to precompute f[0] = inv[0] = 1; FOR(i, 1, len + 1) { f[i] = f[i - 1] * i % mod; inv[i] = bp(f[i], mod - 2, mod); } dp[len] = 1; for (ll i = len - 1; i >= 1; i--) { dp[i] = calc(len, i) * bp(25, len - i, mod) % mod; dp[i] += mod; dp[i] %= mod; } FOR(i, n, len + 1) { ans = (ans + dp[i]) % mod; } cout << ans; } }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define lli long long int #define REP(i, s, n) for (int i = s; i < n; i++) #define NUM 2520 #define INF (1LL << 50) #define DEBUG 1 #define mp(a, b) make_pair(a, b) #define SORT(V) sort(V.begin(), V.end()) #define PI (3.141592653589794) #define TO_STRING(VariableName) #VariableName #define LOG(x) \ if (DEBUG) \ cout << TO_STRING(x) << "=" << x << " " << endl; #define LOG2(x, y) \ if (DEBUG) \ cout << TO_STRING(x) << "=" << x << " " << TO_STRING(y) << "=" << y << endl; #define LOG3(x, y, z) \ if (DEBUG) \ cout << TO_STRING(x) << "=" << x << " " << TO_STRING(y) << "=" << y << " " \ << TO_STRING(z) << "=" << z << endl; #define LOG4(w, x, y, z) \ if (DEBUG) \ cout << TO_STRING(w) << "=" << w << " " << TO_STRING(x) << "=" << x << " " \ << TO_STRING(y) << "=" << y << " " << TO_STRING(z) << "=" << z \ << 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; } const long long MOD = 1000000007; // modint: mod 計算を int を扱うように扱える構造体 template <int MOD> struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % MOD) { if (val < 0) val += MOD; } constexpr int getmod() { return MOD; } constexpr Fp operator-() const noexcept { return val ? MOD - val : 0; } constexpr Fp operator+(const Fp &r) const noexcept { return Fp(*this) += r; } constexpr Fp operator-(const Fp &r) const noexcept { return Fp(*this) -= r; } constexpr Fp operator*(const Fp &r) const noexcept { return Fp(*this) *= r; } constexpr Fp operator/(const Fp &r) const noexcept { return Fp(*this) /= r; } constexpr Fp &operator+=(const Fp &r) noexcept { val += r.val; if (val >= MOD) val -= MOD; return *this; } constexpr Fp &operator-=(const Fp &r) noexcept { val -= r.val; if (val < 0) val += MOD; return *this; } constexpr Fp &operator*=(const Fp &r) noexcept { val = val * r.val % MOD; return *this; } constexpr Fp &operator/=(const Fp &r) noexcept { long long a = r.val, 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); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } constexpr bool operator==(const Fp &r) const noexcept { return this->val == r.val; } constexpr bool operator!=(const Fp &r) const noexcept { return this->val != r.val; } friend constexpr ostream &operator<<(ostream &os, const Fp<MOD> &x) noexcept { return os << x.val; } friend constexpr Fp<MOD> modpow(const Fp<MOD> &a, long long n) noexcept { if (n == 0) return 1; auto t = modpow(a, n / 2); t = t * t; if (n & 1) t = t * a; return t; } }; // a^n mod を計算する lli modpow(lli a, lli n, lli mod) { lli res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } // a^-1 lli modinv(lli a, lli mod) { lli b = mod, u = 1, v = 0; while (b) { lli t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= mod; if (u < 0) u += mod; return u; } // const int MOD = 1000000007; using mint = Fp<MOD>; const lli MAX = 1000100; lli fac[MAX], finv[MAX], inv[MAX]; /*use method: COMinit(),COM(x,y)*/ // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (lli i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(lli n, lli k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } void func(long long K, std::string S) { mint ans = 0; REP(i, 0, K + 1) { mint now = COM(i + S.size() - 1, S.size() - 1); now *= modpow(26, K - i, MOD); now *= modpow(25, i, MOD); ans += now; } cout << ans << endl; } int main() { // cout << fixed << setprecision(5); COMinit(); long long K; scanf("%lld", &K); std::string S; std::cin >> S; func(K, S); return 0; }
#include <bits/stdc++.h> using namespace std; #define lli long long int #define REP(i, s, n) for (int i = s; i < n; i++) #define NUM 2520 #define INF (1LL << 50) #define DEBUG 1 #define mp(a, b) make_pair(a, b) #define SORT(V) sort(V.begin(), V.end()) #define PI (3.141592653589794) #define TO_STRING(VariableName) #VariableName #define LOG(x) \ if (DEBUG) \ cout << TO_STRING(x) << "=" << x << " " << endl; #define LOG2(x, y) \ if (DEBUG) \ cout << TO_STRING(x) << "=" << x << " " << TO_STRING(y) << "=" << y << endl; #define LOG3(x, y, z) \ if (DEBUG) \ cout << TO_STRING(x) << "=" << x << " " << TO_STRING(y) << "=" << y << " " \ << TO_STRING(z) << "=" << z << endl; #define LOG4(w, x, y, z) \ if (DEBUG) \ cout << TO_STRING(w) << "=" << w << " " << TO_STRING(x) << "=" << x << " " \ << TO_STRING(y) << "=" << y << " " << TO_STRING(z) << "=" << z \ << 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; } const long long MOD = 1000000007; // modint: mod 計算を int を扱うように扱える構造体 template <int MOD> struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % MOD) { if (val < 0) val += MOD; } constexpr int getmod() { return MOD; } constexpr Fp operator-() const noexcept { return val ? MOD - val : 0; } constexpr Fp operator+(const Fp &r) const noexcept { return Fp(*this) += r; } constexpr Fp operator-(const Fp &r) const noexcept { return Fp(*this) -= r; } constexpr Fp operator*(const Fp &r) const noexcept { return Fp(*this) *= r; } constexpr Fp operator/(const Fp &r) const noexcept { return Fp(*this) /= r; } constexpr Fp &operator+=(const Fp &r) noexcept { val += r.val; if (val >= MOD) val -= MOD; return *this; } constexpr Fp &operator-=(const Fp &r) noexcept { val -= r.val; if (val < 0) val += MOD; return *this; } constexpr Fp &operator*=(const Fp &r) noexcept { val = val * r.val % MOD; return *this; } constexpr Fp &operator/=(const Fp &r) noexcept { long long a = r.val, 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); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } constexpr bool operator==(const Fp &r) const noexcept { return this->val == r.val; } constexpr bool operator!=(const Fp &r) const noexcept { return this->val != r.val; } friend constexpr ostream &operator<<(ostream &os, const Fp<MOD> &x) noexcept { return os << x.val; } friend constexpr Fp<MOD> modpow(const Fp<MOD> &a, long long n) noexcept { if (n == 0) return 1; auto t = modpow(a, n / 2); t = t * t; if (n & 1) t = t * a; return t; } }; // a^n mod を計算する lli modpow(lli a, lli n, lli mod) { lli res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } // a^-1 lli modinv(lli a, lli mod) { lli b = mod, u = 1, v = 0; while (b) { lli t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= mod; if (u < 0) u += mod; return u; } // const int MOD = 1000000007; using mint = Fp<MOD>; const lli MAX = 2000100; lli fac[MAX], finv[MAX], inv[MAX]; /*use method: COMinit(),COM(x,y)*/ // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (lli i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(lli n, lli k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } void func(long long K, std::string S) { mint ans = 0; REP(i, 0, K + 1) { mint now = COM(i + S.size() - 1, S.size() - 1); now *= modpow(26, K - i, MOD); now *= modpow(25, i, MOD); ans += now; } cout << ans << endl; } int main() { // cout << fixed << setprecision(5); COMinit(); long long K; scanf("%lld", &K); std::string S; std::cin >> S; func(K, S); return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> #define ll long long #define pb push_back #define mp make_pair #define F first #define S second #define pii pair<int, int> #define pll pair<ll, ll> #define pcc pair<char, char> #define vi vector<int> #define vl vector<ll> #define sd(x) scanf("%d", &x) #define slld(x) scanf("%lld", &x) #define pd(x) printf("%d", x) #define plld(x) printf("%lld", x) #define pds(x) printf("%d ", x) #define pllds(x) printf("%lld ", x) #define pdn(x) printf("%d\n", x) #define plldn(x) printf("%lld\n", x) #define INF 2e9 #define INFLL 4e18 using namespace std; ll powmod(ll base, ll exponent, ll mod) { // with mod < 1e9 ll ans = 1; while (exponent) { if (exponent & 1) ans = (ans * base) % mod; base = (base * base) % mod; exponent /= 2; } return ans; } ll gcd(ll a, ll b) { if (b == 0) return a; else return gcd(b, a % b); } const int upperlimit = 1e6 + 100; const int mod = 1e9 + 7; ll fact[upperlimit]; ll invfact[upperlimit]; ll ncr(int n, int r) { ll ans = fact[n]; ans *= invfact[r]; ans %= mod; ans *= invfact[n - r]; ans %= mod; return ans; } int main() { // freopen(".in","r",stdin);freopen(".out","w",stdout); fact[0] = 1; invfact[0] = 1; for (int i = 1; i < upperlimit; i++) { fact[i] = fact[i - 1]; fact[i] *= i; fact[i] %= mod; invfact[i] = powmod(fact[i], mod - 2, mod); } int n; string s; cin >> n >> s; int k = s.size(); ll ans = 0; for (int i = k; i <= n + k; i++) { ll calc = ncr(i - 1, k - 1); calc *= powmod(25, i - k, mod); calc %= mod; calc *= powmod(26, n + k - i, mod); calc %= mod; ans += calc; ans %= mod; } plld(ans); return 0; }
#include <bits/stdc++.h> #define ll long long #define pb push_back #define mp make_pair #define F first #define S second #define pii pair<int, int> #define pll pair<ll, ll> #define pcc pair<char, char> #define vi vector<int> #define vl vector<ll> #define sd(x) scanf("%d", &x) #define slld(x) scanf("%lld", &x) #define pd(x) printf("%d", x) #define plld(x) printf("%lld", x) #define pds(x) printf("%d ", x) #define pllds(x) printf("%lld ", x) #define pdn(x) printf("%d\n", x) #define plldn(x) printf("%lld\n", x) #define INF 2e9 #define INFLL 4e18 using namespace std; ll powmod(ll base, ll exponent, ll mod) { // with mod < 1e9 ll ans = 1; while (exponent) { if (exponent & 1) ans = (ans * base) % mod; base = (base * base) % mod; exponent /= 2; } return ans; } ll gcd(ll a, ll b) { if (b == 0) return a; else return gcd(b, a % b); } const int upperlimit = 2e6 + 100; const int mod = 1e9 + 7; ll fact[upperlimit]; ll invfact[upperlimit]; ll ncr(int n, int r) { ll ans = fact[n]; ans *= invfact[r]; ans %= mod; ans *= invfact[n - r]; ans %= mod; return ans; } int main() { // freopen(".in","r",stdin);freopen(".out","w",stdout); fact[0] = 1; invfact[0] = 1; for (int i = 1; i < upperlimit; i++) { fact[i] = fact[i - 1]; fact[i] *= i; fact[i] %= mod; invfact[i] = powmod(fact[i], mod - 2, mod); } int n; string s; cin >> n >> s; int k = s.size(); ll ans = 0; for (int i = k; i <= n + k; i++) { ll calc = ncr(i - 1, k - 1); calc *= powmod(25, i - k, mod); calc %= mod; calc *= powmod(26, n + k - i, mod); calc %= mod; ans += calc; ans %= mod; } plld(ans); return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define REP(i, a, n) for (int i = (a); i < (int)(n); i++) #define rep(i, n) REP(i, 0, n) #define FOR(it, c) \ for (__typeof((c).begin()) it = (c).begin(); it != (c).end(); ++it) #define ALLOF(c) (c).begin(), (c).end() typedef long long ll; typedef unsigned long long ull; static const long long mod = 1000000007; struct mint { long long x; mint(ll x = 0) : x(x % mod) {} mint &operator+=(const mint a) { (x += a.x) %= mod; return *this; } mint &operator-=(const mint a) { (x += mod - a.x) %= mod; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { mint ret(*this); return ret += a; } mint operator-(const mint a) const { mint ret(*this); return ret -= a; } mint operator*(const mint a) const { mint ret(*this); return ret *= a; } mint pow(ll t) const { if (t == 0) return mint(1); mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod - 2); } mint &operator/=(const mint a) { return (*this) *= a.inv(); } mint operator/(const mint a) const { mint ret(*this); return ret /= a; } }; ostream &operator<<(ostream &os, const mint &x) { os << x.x; return os; } class modutils { vector<mint> fact, invfact; public: modutils(int n = 1000005) : fact(n + 1), invfact(n + 1) { fact[0] = 1; for (int i = 1; i <= n; i++) fact[i] = fact[i - 1] * i; invfact[n] = fact[n].inv(); for (int i = n; i >= 1; i--) invfact[i - 1] = invfact[i] * i; } mint pow(mint x, ll n) { return x.pow(n); } mint comb(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fact[n] * invfact[k] * invfact[n - k]; } mint perm(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fact[n] * invfact[n - k]; } mint fac(ll n) { return fact[n]; } }; modutils mutil; int main() { ll K; string S; cin >> K; cin >> S; ll N = S.size(); mint ret(0); for (ll x = 0; x <= K; x++) { mint tmp(1); tmp *= mutil.comb(N - 1 + K - x, K - x); tmp *= mutil.pow(25, K - x); tmp *= mutil.pow(26, x); ret += tmp; } cout << ret << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define REP(i, a, n) for (int i = (a); i < (int)(n); i++) #define rep(i, n) REP(i, 0, n) #define FOR(it, c) \ for (__typeof((c).begin()) it = (c).begin(); it != (c).end(); ++it) #define ALLOF(c) (c).begin(), (c).end() typedef long long ll; typedef unsigned long long ull; static const long long mod = 1000000007; struct mint { long long x; mint(ll x = 0) : x(x % mod) {} mint &operator+=(const mint a) { (x += a.x) %= mod; return *this; } mint &operator-=(const mint a) { (x += mod - a.x) %= mod; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { mint ret(*this); return ret += a; } mint operator-(const mint a) const { mint ret(*this); return ret -= a; } mint operator*(const mint a) const { mint ret(*this); return ret *= a; } mint pow(ll t) const { if (t == 0) return mint(1); mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod - 2); } mint &operator/=(const mint a) { return (*this) *= a.inv(); } mint operator/(const mint a) const { mint ret(*this); return ret /= a; } }; ostream &operator<<(ostream &os, const mint &x) { os << x.x; return os; } class modutils { vector<mint> fact, invfact; public: modutils(int n = 2000005) : fact(n + 1), invfact(n + 1) { fact[0] = 1; for (int i = 1; i <= n; i++) fact[i] = fact[i - 1] * i; invfact[n] = fact[n].inv(); for (int i = n; i >= 1; i--) invfact[i - 1] = invfact[i] * i; } mint pow(mint x, ll n) { return x.pow(n); } mint comb(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fact[n] * invfact[k] * invfact[n - k]; } mint perm(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fact[n] * invfact[n - k]; } mint fac(ll n) { return fact[n]; } }; modutils mutil; int main() { ll K; string S; cin >> K; cin >> S; ll N = S.size(); mint ret(0); for (ll x = 0; x <= K; x++) { mint tmp(1); tmp *= mutil.comb(N - 1 + K - x, K - x); tmp *= mutil.pow(25, K - x); tmp *= mutil.pow(26, x); ret += tmp; } cout << ret << endl; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> #include <iostream> using namespace std; typedef long long int ll; typedef long double ld; #define mp make_pair #define v vector #define inp_push(no, v) \ ll no; \ cin >> no; \ v.push_back(no); #define pb push_back #define fi first #define se second #define ALL(v) v.begin(), v.end() #define UN(v) \ sort((v).begin(), (v).end()), v.erase(unique(v.begin(), v.end()), v.end()) #define N 1000006 #define mod 1000000007 #define INF INT64_MAX //////////////////////////IMPORTANT ///FUNCTIONS///////////////////////////////////////////// /* Guidlines berfore submitting solution 1. Check N value before submitting 2. Check all constant kind of values you are using. Might give WA. Think 3. Check mod value */ v<ll> fact(N); v<ll> prime_check(1e7 + 2); v<ll> primes; long long powmod(long long x, long long y, long long m) { long long res = 1LL; while (y) { if (y & 1) res = (res * x) % m; x = (x * x) % m; y /= 2; } return res; } void init_fact() { fact[0] = 1; for (ll i = 1; i < N; i++) { fact[i] = (fact[i - 1] * i) % mod; } } ll C(ll n, ll r) { if (n < r) return 0; ll temp = fact[n] * powmod(fact[r], mod - 2, mod) % mod; temp *= powmod(fact[n - r], mod - 2, mod); temp %= mod; return temp; } void Sieve() { for (ll i = 2; i <= 1e7 + 1; i++) { if (prime_check[i]) continue; primes.pb(i); for (ll j = 2 * i; j <= 1e7 + 1; j += i) prime_check[j] = i; } } ll phi(ll n) { ll i, res = n; for (i = 2; i * i <= n; i++) if (n % i == 0) { while (n % i == 0) n /= i; res -= res / i; } if (n > 1) res -= res / n; return res; } /////////////////////////////////////START CODE ///HERE///////////////////////////////////////////// ll k, n; string s; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); init_fact(); // Sieve(); cin >> k >> s; n = s.size(); ll ans = 0; for (ll i = 0; i <= k; i++) { ll temp = (C(n + k - i - 1, n - 1) * ((powmod(26, i, mod) * powmod(25, k - i, mod)) % mod)); // cout << C(n + k - i - 1, n - 1) << " " << n + k - i - 1 << " " << n - 1; ans = (ans + temp) % mod; } cout << ans << "\n"; }
#include <bits/stdc++.h> #include <iostream> using namespace std; typedef long long int ll; typedef long double ld; #define mp make_pair #define v vector #define inp_push(no, v) \ ll no; \ cin >> no; \ v.push_back(no); #define pb push_back #define fi first #define se second #define ALL(v) v.begin(), v.end() #define UN(v) \ sort((v).begin(), (v).end()), v.erase(unique(v.begin(), v.end()), v.end()) #define N 2000006 #define mod 1000000007 #define INF INT64_MAX //////////////////////////IMPORTANT ///FUNCTIONS///////////////////////////////////////////// /* Guidlines berfore submitting solution 1. Check N value before submitting 2. Check all constant kind of values you are using. Might give WA. Think 3. Check mod value */ v<ll> fact(N); v<ll> prime_check(1e7 + 2); v<ll> primes; long long powmod(long long x, long long y, long long m) { long long res = 1LL; while (y) { if (y & 1) res = (res * x) % m; x = (x * x) % m; y /= 2; } return res; } void init_fact() { fact[0] = 1; for (ll i = 1; i < N; i++) { fact[i] = (fact[i - 1] * i) % mod; } } ll C(ll n, ll r) { if (n < r) return 0; ll temp = fact[n] * powmod(fact[r], mod - 2, mod) % mod; temp *= powmod(fact[n - r], mod - 2, mod); temp %= mod; return temp; } void Sieve() { for (ll i = 2; i <= 1e7 + 1; i++) { if (prime_check[i]) continue; primes.pb(i); for (ll j = 2 * i; j <= 1e7 + 1; j += i) prime_check[j] = i; } } ll phi(ll n) { ll i, res = n; for (i = 2; i * i <= n; i++) if (n % i == 0) { while (n % i == 0) n /= i; res -= res / i; } if (n > 1) res -= res / n; return res; } /////////////////////////////////////START CODE ///HERE///////////////////////////////////////////// ll k, n; string s; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); init_fact(); // Sieve(); cin >> k >> s; n = s.size(); ll ans = 0; for (ll i = 0; i <= k; i++) { ll temp = (C(n + k - i - 1, n - 1) * ((powmod(26, i, mod) * powmod(25, k - i, mod)) % mod)); // cout << C(n + k - i - 1, n - 1) << " " << n + k - i - 1 << " " << n - 1; ans = (ans + temp) % mod; } cout << ans << "\n"; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define fi first #define se second #define SZ(x) (int)x.size() #define ll long long #define pb push_back #define pq priority_queue #define pii pair<int, int> #define mod 1000000007 #define inf 0x3f3f3f3f #define debug(x) cerr << #x << "=" << x << '\n' #define rep(i, a, b) for (int i = a; i < (b); i++) const int maxn = 1e6 + 10; int n, m; ll fac[maxn]; ll p0w(ll base, int p) { ll res = 1; while (p) { if (p % 2 == 1) res *= base, res %= mod; base = base * base % mod; p >>= 1; } return res; } ll C(int x, int y) { return fac[x] * p0w(fac[x - y], mod - 2) % mod * p0w(fac[y], mod - 2) % mod; } int main() { std::ios::sync_with_stdio(false); fac[0] = 1; rep(i, 1, maxn) fac[i] = fac[i - 1] * (ll)i % mod; cin >> n; string s; cin >> s; n += SZ(s); int m = SZ(s); ll ans = 0; for (int i = m; i <= n; i++) { ans += C(i - 1, m - 1) * p0w(25, i - m) % mod * p0w(26, n - i) % mod; ans %= mod; } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; #define fi first #define se second #define SZ(x) (int)x.size() #define ll long long #define pb push_back #define pq priority_queue #define pii pair<int, int> #define mod 1000000007 #define inf 0x3f3f3f3f #define debug(x) cerr << #x << "=" << x << '\n' #define rep(i, a, b) for (int i = a; i < (b); i++) const int maxn = 3e6 + 10; int n, m; ll fac[maxn]; ll p0w(ll base, int p) { ll res = 1; while (p) { if (p % 2 == 1) res *= base, res %= mod; base = base * base % mod; p >>= 1; } return res; } ll C(int x, int y) { return fac[x] * p0w(fac[x - y], mod - 2) % mod * p0w(fac[y], mod - 2) % mod; } int main() { std::ios::sync_with_stdio(false); fac[0] = 1; rep(i, 1, maxn) fac[i] = fac[i - 1] * (ll)i % mod; cin >> n; string s; cin >> s; n += SZ(s); int m = SZ(s); ll ans = 0; for (int i = m; i <= n; i++) { ans += C(i - 1, m - 1) * p0w(25, i - m) % mod * p0w(26, n - i) % mod; ans %= mod; } cout << ans; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using ll = long long; using vin = vector<int>; using vll = vector<long long>; using vvin = vector<vector<int>>; using vvll = vector<vector<long long>>; using vstr = vector<string>; using vvstr = vector<vector<string>>; using vch = vector<char>; using vvch = vector<vector<char>>; using vbo = vector<bool>; using vvbo = vector<vector<bool>>; using vpii = vector<pair<int, int>>; using pqsin = priority_queue<int, vector<int>, greater<int>>; #define mp make_pair #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep2(i, s, n) for (int i = (s); i < (int)(n); i++) #define all(v) v.begin(), v.end() #define decp(n) cout << fixed << setprecision((int)n) const ll inf = 1e9 + 7; const ll INF = 1e18; const int MAX = 1000010; vll fac(MAX); vll finv(MAX); vll inv(MAX); void combinit(ll m) { fac[0] = 1; fac[1] = 1; finv[0] = 1; finv[1] = 1; inv[1] = 1; rep2(i, 2, MAX) { fac[i] = fac[i - 1] * i % m; inv[i] = m - inv[m % i] * (m / i) % m; finv[i] = finv[i - 1] * inv[i] % m; } } ll combi(ll n, ll k, ll m = inf) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % m) % m; } int main() { ll k; cin >> k; string s; cin >> s; ll n = s.size(); ll ans = (ll)0, tmp = (ll)1; vll tf(k + 1); tf[0] = (ll)1; rep(i, k) { tf[i + 1] = tf[i] * (ll)25; tf[i + 1] %= inf; } combinit(inf); for (ll i = (ll)0; i <= k; i++) { ans += (combi(n + k - i - (ll)1, n - (ll)1) * ((tf[k - i] * tmp) % inf)) % inf; ans %= inf; tmp *= (ll)26; tmp %= inf; } cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using vin = vector<int>; using vll = vector<long long>; using vvin = vector<vector<int>>; using vvll = vector<vector<long long>>; using vstr = vector<string>; using vvstr = vector<vector<string>>; using vch = vector<char>; using vvch = vector<vector<char>>; using vbo = vector<bool>; using vvbo = vector<vector<bool>>; using vpii = vector<pair<int, int>>; using pqsin = priority_queue<int, vector<int>, greater<int>>; #define mp make_pair #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep2(i, s, n) for (int i = (s); i < (int)(n); i++) #define all(v) v.begin(), v.end() #define decp(n) cout << fixed << setprecision((int)n) const ll inf = 1e9 + 7; const ll INF = 1e18; const int MAX = 2000010; vll fac(MAX); vll finv(MAX); vll inv(MAX); void combinit(ll m) { fac[0] = 1; fac[1] = 1; finv[0] = 1; finv[1] = 1; inv[1] = 1; rep2(i, 2, MAX) { fac[i] = fac[i - 1] * i % m; inv[i] = m - inv[m % i] * (m / i) % m; finv[i] = finv[i - 1] * inv[i] % m; } } ll combi(ll n, ll k, ll m = inf) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % m) % m; } int main() { ll k; cin >> k; string s; cin >> s; ll n = s.size(); ll ans = (ll)0, tmp = (ll)1; vll tf(k + 1); tf[0] = (ll)1; rep(i, k) { tf[i + 1] = tf[i] * (ll)25; tf[i + 1] %= inf; } combinit(inf); for (ll i = (ll)0; i <= k; i++) { ans += (combi(n + k - i - (ll)1, n - (ll)1) * ((tf[k - i] * tmp) % inf)) % inf; ans %= inf; tmp *= (ll)26; tmp %= inf; } cout << ans << endl; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; const int N = 1000000 + 5, yzh = 1e9 + 7; int k, n, fac[N], ifac[N]; char ch[N]; int quick_pow(int a, int b) { int ans = 1; while (b) { if (b & 1) ans = 1ll * a * ans % yzh; b >>= 1, a = 1ll * a * a % yzh; } return ans; } int C(int n, int m) { return 1ll * fac[n] * ifac[m] % yzh * ifac[n - m] % yzh; } int main() { scanf("%d%s", &k, ch + 1); n = strlen(ch + 1); ifac[0] = ifac[1] = fac[0] = 1; for (int i = 2; i <= n + k; i++) ifac[i] = -1ll * yzh / i * ifac[yzh % i] % yzh; for (int i = 1; i <= n + k; i++) { fac[i] = 1ll * fac[i - 1] * i % yzh; ifac[i] = 1ll * ifac[i] * ifac[i - 1] % yzh; } int ans = 0; for (int i = 0; i <= k; i++) (ans += 1ll * quick_pow(25, k - i) * quick_pow(26, i) % yzh * C(n + k - i - 1, n - 1) % yzh) %= yzh; printf("%d\n", (ans + yzh) % yzh); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2000000 + 5, yzh = 1e9 + 7; int k, n, fac[N], ifac[N]; char ch[N]; int quick_pow(int a, int b) { int ans = 1; while (b) { if (b & 1) ans = 1ll * a * ans % yzh; b >>= 1, a = 1ll * a * a % yzh; } return ans; } int C(int n, int m) { return 1ll * fac[n] * ifac[m] % yzh * ifac[n - m] % yzh; } int main() { scanf("%d%s", &k, ch + 1); n = strlen(ch + 1); ifac[0] = ifac[1] = fac[0] = 1; for (int i = 2; i <= n + k; i++) ifac[i] = -1ll * yzh / i * ifac[yzh % i] % yzh; for (int i = 1; i <= n + k; i++) { fac[i] = 1ll * fac[i - 1] * i % yzh; ifac[i] = 1ll * ifac[i] * ifac[i - 1] % yzh; } int ans = 0; for (int i = 0; i <= k; i++) (ans += 1ll * quick_pow(25, k - i) * quick_pow(26, i) % yzh * C(n + k - i - 1, n - 1) % yzh) %= yzh; printf("%d\n", (ans + yzh) % yzh); return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> #define ALL(A) (A).begin(), (A).end() #define ll long long #define rep(i, n) for (int i = 0; i < (n); i++) using namespace std; 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; } int dx[] = {0, 1, -1, 0, 1, -1, 1, -1}; // i<4:4way i<8:8way int dy[] = {1, 0, 0, -1, 1, -1, -1, 1}; const ll mod = 1e9 + 7; const ll INF = -1 * ((1LL << 63) + 1); const int inf = -1 * ((1 << 31) + 1); const int MAX = 510000; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } 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; } int main(void) { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); COMinit(); int k; cin >> k; string s; cin >> s; int n = s.size(); // n + k の長さの文字列について // n 回元の文字列の要素を含めばいい ll ans = 0; for (int i = 0; i <= k; i++) { // iはsの末尾以外に挿入する数 ll t = 1; t *= modpow(25, i); t %= mod; t *= modpow(26, k - i); t %= mod; t *= COM(n - 1 + i, i); t %= mod; ans += t % mod; ans %= mod; } cout << ans << endl; }
#include <bits/stdc++.h> #define ALL(A) (A).begin(), (A).end() #define ll long long #define rep(i, n) for (int i = 0; i < (n); i++) using namespace std; 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; } int dx[] = {0, 1, -1, 0, 1, -1, 1, -1}; // i<4:4way i<8:8way int dy[] = {1, 0, 0, -1, 1, -1, -1, 1}; const ll mod = 1e9 + 7; const ll INF = -1 * ((1LL << 63) + 1); const int inf = -1 * ((1 << 31) + 1); const int MAX = 5100000; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } 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; } int main(void) { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); COMinit(); int k; cin >> k; string s; cin >> s; int n = s.size(); // n + k の長さの文字列について // n 回元の文字列の要素を含めばいい ll ans = 0; for (int i = 0; i <= k; i++) { // iはsの末尾以外に挿入する数 ll t = 1; t *= modpow(25, i); t %= mod; t *= modpow(26, k - i); t %= mod; t *= COM(n - 1 + i, i); t %= mod; ans += t % mod; ans %= mod; } cout << ans << endl; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> #define all(x) (x).begin(), (x).end() typedef long long ll; #define MOD 1000000007 using namespace std; #define MAX 1000001 ll fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } ll COM(ll n, ll k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll modpow(ll a, ll n, ll mod = MOD) { ll res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } int main() { ll k; cin >> k; string s; cin >> s; ll n = s.size(); ll ans = 0; COMinit(); for (int i = 0; i <= k; i++) { ans += (COM(k + n - i - 1, n - 1) * modpow(25, k - i) % MOD) * modpow(26, i); ans %= MOD; } cout << ans << endl; }
#include <bits/stdc++.h> #define all(x) (x).begin(), (x).end() typedef long long ll; #define MOD 1000000007 using namespace std; #define MAX 2000001 ll fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } ll COM(ll n, ll k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll modpow(ll a, ll n, ll mod = MOD) { ll res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } int main() { ll k; cin >> k; string s; cin >> s; ll n = s.size(); ll ans = 0; COMinit(); for (int i = 0; i <= k; i++) { ans += (COM(k + n - i - 1, n - 1) * modpow(25, k - i) % MOD) * modpow(26, i); ans %= MOD; } cout << ans << endl; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> #ifdef LOCAL #include "lib/debug.hpp" #else #define debug(...) 1 #endif #define ALL(a) (a).begin(), (a).end() #define rep(i, n) REP(i, 0, (n)) #define repc(i, n) REPC(i, 0, (n)) #define REP(i, n, m) for (int i = (int)(n); i < (int)(m); i++) #define REPC(i, n, m) for (int i = (int)(n); i <= (int)(m); i++) #define REPCM(i, n, m) for (int i = (int)(n); i >= (int)(m); i--) using namespace std; using ll = int_fast64_t; using pr = pair<ll, ll>; using vll = vector<ll>; using vpr = vector<pr>; template <class T> inline bool chmin(T &a, const T &b) { if (a > b) { a = b; return true; } else return false; } template <class T> inline bool chmax(T &a, const T &b) { if (a < b) { a = b; return true; } else return false; } struct mint { ll divisor = 1000000007; ll val; constexpr mint(ll v = 0) noexcept : val(v % divisor) { if (val < 0) val += divisor; } constexpr mint operator+(const mint &rhs) const noexcept { return mint(*this) += rhs; } constexpr mint operator-(const mint &rhs) const noexcept { return mint(*this) -= rhs; } constexpr mint operator*(const mint &rhs) const noexcept { return mint(*this) *= rhs; } constexpr mint operator/(const mint &rhs) const noexcept { return mint(*this) /= rhs; } constexpr mint operator~() const noexcept { ll a = this->val, b = divisor, u = 1, v = 0; while (b > 0) { ll t = a / b; a -= t * b; u -= t * v; ll c = a; a = b; b = c; ll w = u; u = v; v = w; } if (u < 0) u += divisor; u %= divisor; return u; } constexpr mint &operator+=(const mint &rhs) noexcept { val += rhs.val; if (val >= divisor) val -= divisor; return *this; } constexpr mint &operator-=(const mint &rhs) noexcept { if (val < rhs.val) val += divisor; val -= rhs.val; return *this; } constexpr mint &operator*=(const mint &rhs) noexcept { val = val * rhs.val % divisor; return *this; } constexpr mint &operator/=(const mint &rhs) noexcept { val = val * (~(mint(rhs))).val % divisor; return *this; } friend mint modpow(mint a, ll n) noexcept { auto res = mint(1); while (n > 0) { if (n & 1) res *= a; a *= a; n >>= 1; } return res; } friend std::ostream &operator<<(std::ostream &os, const mint &a) noexcept { return os << a.val; } }; namespace combinatorics { const int limit = 1000010; const int mod = 1000000007; bool initialized = false; long long fac_table[limit], inv_table[limit], finv_table[limit]; void initialize() { fac_table[0] = fac_table[1] = 1; inv_table[1] = 1; finv_table[0] = finv_table[1] = 1; for (int i = 2; i < limit; i++) { fac_table[i] = fac_table[i - 1] * i % mod; inv_table[i] = mod - inv_table[mod % i] * (mod / i) % mod; finv_table[i] = finv_table[i - 1] * inv_table[i] % mod; } initialized = true; } long long com(int n, int k) { if (!initialized) initialize(); if (n < k || n < 0 || k < 0) return 0; else return fac_table[n] * (finv_table[k] * finv_table[n - k] % mod) % mod; } } // namespace combinatorics using combinatorics::com; void answer() { int k; string s; cin >> k >> s; int sz = s.size(); mint ans = 0; REPC(i, sz, sz + k) { mint cur = 1; int lk = i - sz, rk = k - lk; cur *= com(i - 1, sz - 1); cur *= modpow(mint(25), lk); cur *= modpow(mint(26), rk); ans += cur; } cout << ans << "\n"; } int main() { std::ios::sync_with_stdio(false); std::cin.tie(0); answer(); return 0; }
#include <bits/stdc++.h> #ifdef LOCAL #include "lib/debug.hpp" #else #define debug(...) 1 #endif #define ALL(a) (a).begin(), (a).end() #define rep(i, n) REP(i, 0, (n)) #define repc(i, n) REPC(i, 0, (n)) #define REP(i, n, m) for (int i = (int)(n); i < (int)(m); i++) #define REPC(i, n, m) for (int i = (int)(n); i <= (int)(m); i++) #define REPCM(i, n, m) for (int i = (int)(n); i >= (int)(m); i--) using namespace std; using ll = int_fast64_t; using pr = pair<ll, ll>; using vll = vector<ll>; using vpr = vector<pr>; template <class T> inline bool chmin(T &a, const T &b) { if (a > b) { a = b; return true; } else return false; } template <class T> inline bool chmax(T &a, const T &b) { if (a < b) { a = b; return true; } else return false; } struct mint { ll divisor = 1000000007; ll val; constexpr mint(ll v = 0) noexcept : val(v % divisor) { if (val < 0) val += divisor; } constexpr mint operator+(const mint &rhs) const noexcept { return mint(*this) += rhs; } constexpr mint operator-(const mint &rhs) const noexcept { return mint(*this) -= rhs; } constexpr mint operator*(const mint &rhs) const noexcept { return mint(*this) *= rhs; } constexpr mint operator/(const mint &rhs) const noexcept { return mint(*this) /= rhs; } constexpr mint operator~() const noexcept { ll a = this->val, b = divisor, u = 1, v = 0; while (b > 0) { ll t = a / b; a -= t * b; u -= t * v; ll c = a; a = b; b = c; ll w = u; u = v; v = w; } if (u < 0) u += divisor; u %= divisor; return u; } constexpr mint &operator+=(const mint &rhs) noexcept { val += rhs.val; if (val >= divisor) val -= divisor; return *this; } constexpr mint &operator-=(const mint &rhs) noexcept { if (val < rhs.val) val += divisor; val -= rhs.val; return *this; } constexpr mint &operator*=(const mint &rhs) noexcept { val = val * rhs.val % divisor; return *this; } constexpr mint &operator/=(const mint &rhs) noexcept { val = val * (~(mint(rhs))).val % divisor; return *this; } friend mint modpow(mint a, ll n) noexcept { auto res = mint(1); while (n > 0) { if (n & 1) res *= a; a *= a; n >>= 1; } return res; } friend std::ostream &operator<<(std::ostream &os, const mint &a) noexcept { return os << a.val; } }; namespace combinatorics { const int limit = 2000020; const int mod = 1000000007; bool initialized = false; long long fac_table[limit], inv_table[limit], finv_table[limit]; void initialize() { fac_table[0] = fac_table[1] = 1; inv_table[1] = 1; finv_table[0] = finv_table[1] = 1; for (int i = 2; i < limit; i++) { fac_table[i] = fac_table[i - 1] * i % mod; inv_table[i] = mod - inv_table[mod % i] * (mod / i) % mod; finv_table[i] = finv_table[i - 1] * inv_table[i] % mod; } initialized = true; } long long com(int n, int k) { if (!initialized) initialize(); if (n < k || n < 0 || k < 0) return 0; else return fac_table[n] * (finv_table[k] * finv_table[n - k] % mod) % mod; } } // namespace combinatorics using combinatorics::com; void answer() { int k; string s; cin >> k >> s; int sz = s.size(); mint ans = 0; REPC(i, sz, sz + k) { mint cur = 1; int lk = i - sz, rk = k - lk; cur *= com(i - 1, sz - 1); cur *= modpow(mint(25), lk); cur *= modpow(mint(26), rk); ans += cur; } cout << ans << "\n"; } int main() { std::ios::sync_with_stdio(false); std::cin.tie(0); answer(); return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; long long mpow(long long a, int n) { if (n == 0) return 1; if (n == 1) return a; if (n % 2) return (a * (mpow(a, n - 1) % mod)) % mod; else { long long tmp = mpow(a, n / 2) % mod; return tmp * tmp % mod; } } const int MAX = 1000001; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod % i] * (mod / i) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } long long nCk(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } int main() { int k; string s; cin >> k >> s; COMinit(); long long ans = 0; for (int i = 0; i <= k; i++) { ans = (ans + mpow(26, i) * mpow(25, k - i) % mod * (nCk(s.size() + k - 1 - i, s.size() - 1)) % mod) % mod; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; long long mpow(long long a, int n) { if (n == 0) return 1; if (n == 1) return a; if (n % 2) return (a * (mpow(a, n - 1) % mod)) % mod; else { long long tmp = mpow(a, n / 2) % mod; return tmp * tmp % mod; } } const int MAX = 2000006; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod % i] * (mod / i) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } long long nCk(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } int main() { int k; string s; cin >> k >> s; COMinit(); long long ans = 0; for (int i = 0; i <= k; i++) { ans = (ans + mpow(26, i) * mpow(25, k - i) % mod * (nCk(s.size() + k - 1 - i, s.size() - 1)) % mod) % mod; } cout << ans << endl; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; const int MOD = 1000000007; struct mint { int64_t x; mint(int64_t x = 0) : x((x % MOD + MOD) % MOD) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint &operator-=(const mint a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= MOD; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(int64_t n) const { if (n == 0) return 1; mint t = pow(n >> 1); t *= t; if (n & 1) t *= *this; return t; } mint inv() const { return pow(MOD - 2); } mint &operator/=(const mint a) { return *this *= a.inv(); } mint operator/(const mint a) const { return mint(*this) /= a; } }; istream &operator>>(istream &is, const mint &a) { return is >> a.x; } ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } vector<mint> fac; vector<mint> fac_inv; vector<mint> inv; void init_comb(int mx) { fac = vector<mint>(mx + 1), fac_inv = vector<mint>(mx + 1), inv = vector<mint>(mx + 1); fac.at(0) = fac.at(1) = 1; fac_inv.at(0) = fac_inv.at(1) = 1; inv.at(1) = 1; for (int i = 2; i <= mx; i++) { fac.at(i) = fac.at(i - 1) * i; inv.at(i) = -inv.at(MOD % i) * (MOD / i); fac_inv.at(i) = fac_inv.at(i - 1) * inv.at(i); } } mint comb(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac.at(n) * fac_inv.at(k) * fac_inv.at(n - k); } void solve(int K, string S) { init_comb((int)1e6 + 1); int len = K + S.size(); mint res = 0; for (int r = 0; r <= K; r++) { res += comb(len - r - 1, S.size() - 1) * mint(25).pow(K - r) * mint(26).pow(r); } cout << res << endl; } int main() { int K; cin >> K; string S; cin >> S; solve(K, S); return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = 1000000007; struct mint { int64_t x; mint(int64_t x = 0) : x((x % MOD + MOD) % MOD) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint &operator-=(const mint a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= MOD; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(int64_t n) const { if (n == 0) return 1; mint t = pow(n >> 1); t *= t; if (n & 1) t *= *this; return t; } mint inv() const { return pow(MOD - 2); } mint &operator/=(const mint a) { return *this *= a.inv(); } mint operator/(const mint a) const { return mint(*this) /= a; } }; istream &operator>>(istream &is, const mint &a) { return is >> a.x; } ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } vector<mint> fac; vector<mint> fac_inv; vector<mint> inv; void init_comb(int mx) { fac = vector<mint>(mx + 1), fac_inv = vector<mint>(mx + 1), inv = vector<mint>(mx + 1); fac.at(0) = fac.at(1) = 1; fac_inv.at(0) = fac_inv.at(1) = 1; inv.at(1) = 1; for (int i = 2; i <= mx; i++) { fac.at(i) = fac.at(i - 1) * i; inv.at(i) = -inv.at(MOD % i) * (MOD / i); fac_inv.at(i) = fac_inv.at(i - 1) * inv.at(i); } } mint comb(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac.at(n) * fac_inv.at(k) * fac_inv.at(n - k); } void solve(int K, string S) { init_comb((int)1e6 * 2 + 1); int len = K + S.size(); mint res = 0; for (int r = 0; r <= K; r++) { res += comb(len - r - 1, S.size() - 1) * mint(25).pow(K - r) * mint(26).pow(r); } cout << res << endl; } int main() { int K; cin >> K; string S; cin >> S; solve(K, S); return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define Sz(a) ((int)(a).size()) const int maxn = 1000009; const int MOD = 1e9 + 7; int64_t fac[maxn], invfac[maxn]; int64_t pw(int64_t a, int64_t b) { int64_t c = 1; while (b) { if (b & 1ll) c = c * a % MOD; b >>= 1; a = a * a % MOD; } return c; } int64_t C(int a, int b) { return fac[a] * invfac[b] % MOD * invfac[a - b] % MOD; } int main() { #ifdef LOCAL freopen("a.in", "r", stdin); #endif ios_base::sync_with_stdio(false), cout.tie(0), cin.tie(0); fac[0] = 1; for (int i = 1; i < maxn; ++i) fac[i] = fac[i - 1] * i % MOD; invfac[maxn - 1] = pw(fac[maxn - 1], MOD - 2); for (int i = maxn - 2; i >= 0; --i) invfac[i] = invfac[i + 1] * (i + 1) % MOD; int K, n; string s; cin >> K >> s; n = Sz(s); int64_t ans = 1, deg = 1; for (int i = 0; i < K; ++i) { deg = deg * 25 % MOD; ans = (ans * 26 + C(n + i, n - 1) * deg) % MOD; } cout << ans << "\n"; return 0; } // 2020.06.23 19:49:09
#include <bits/stdc++.h> using namespace std; #define Sz(a) ((int)(a).size()) const int maxn = 2000009; const int MOD = 1e9 + 7; int64_t fac[maxn], invfac[maxn]; int64_t pw(int64_t a, int64_t b) { int64_t c = 1; while (b) { if (b & 1ll) c = c * a % MOD; b >>= 1; a = a * a % MOD; } return c; } int64_t C(int a, int b) { return fac[a] * invfac[b] % MOD * invfac[a - b] % MOD; } int main() { #ifdef LOCAL freopen("a.in", "r", stdin); #endif ios_base::sync_with_stdio(false), cout.tie(0), cin.tie(0); fac[0] = 1; for (int i = 1; i < maxn; ++i) fac[i] = fac[i - 1] * i % MOD; invfac[maxn - 1] = pw(fac[maxn - 1], MOD - 2); for (int i = maxn - 2; i >= 0; --i) invfac[i] = invfac[i + 1] * (i + 1) % MOD; int K, n; string s; cin >> K >> s; n = Sz(s); int64_t ans = 1, deg = 1; for (int i = 0; i < K; ++i) { deg = deg * 25 % MOD; ans = (ans * 26 + C(n + i, n - 1) * deg) % MOD; } cout << ans << "\n"; return 0; } // 2020.06.23 19:49:09
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p02632
C++
Runtime Error
#include <bits/stdc++.h> #define REP(i, n) for (int(i) = 0; (i) < (n); ++(i)) #define REPV(iter, v) \ for (auto(iter) = (v).begin(); (iter) != (v).end(); ++(iter)) #define ALL(v) (v).begin(), (v).end() #define MOD 1000000007 using namespace std; typedef long long ll; const ll MAX = 510000; ll fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (ll i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 ll COM(ll n, ll k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } int main() { ll K; cin >> K; string S; cin >> S; ll N = S.size(); COMinit(); vector<ll> p25(K + 1), p26(K + 1); p25[0] = 1; p26[0] = 1; REP(i, K) { p25[i + 1] = (p25[i] * 25) % MOD; p26[i + 1] = (p26[i] * 26) % MOD; } ll ans = 0; REP(i, K + 1) { ll t; t = (p25[K - i] * p26[i]) % MOD; t = (t * (COM(K - i + N - 1, N - 1))) % MOD; ans = (ans + t) % MOD; } cout << ans << endl; }
#include <bits/stdc++.h> #define REP(i, n) for (int(i) = 0; (i) < (n); ++(i)) #define REPV(iter, v) \ for (auto(iter) = (v).begin(); (iter) != (v).end(); ++(iter)) #define ALL(v) (v).begin(), (v).end() #define MOD 1000000007 using namespace std; typedef long long ll; const ll MAX = 2000001; ll fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (ll i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 ll COM(ll n, ll k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } int main() { ll K; cin >> K; string S; cin >> S; ll N = S.size(); COMinit(); vector<ll> p25(K + 1), p26(K + 1); p25[0] = 1; p26[0] = 1; REP(i, K) { p25[i + 1] = (p25[i] * 25) % MOD; p26[i + 1] = (p26[i] * 26) % MOD; } ll ans = 0; REP(i, K + 1) { ll t; t = (p25[K - i] * p26[i]) % MOD; t = (t * (COM(K - i + N - 1, N - 1))) % MOD; ans = (ans + t) % MOD; } cout << ans << endl; }
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0
p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using lint = long long int; template <int64_t MOD> struct Mint { int64_t v; Mint() { v = 0; } Mint(int64_t x) { v = x % MOD; if (v < 0) v += MOD; } Mint operator-() { return Mint{-v}; }; Mint operator+(Mint x) { return Mint(v + x.v); }; Mint operator-(Mint x) { return Mint(v - x.v); }; Mint operator*(Mint x) { return Mint(v * x.v); }; Mint operator/(Mint x) { return Mint(v * pow(x.v, MOD - 2).v); }; Mint &operator+=(Mint x) { return *this = (*this + x); }; Mint &operator-=(Mint x) { return *this = (*this - x); }; Mint &operator*=(Mint x) { return *this = (*this * x); }; Mint &operator/=(Mint x) { return *this = (*this / x); }; static Mint pow(Mint base, int64_t exp) { if (exp == 0) return Mint(1); return pow(base * base, exp / 2) * (exp & 1 ? base : Mint(1)); } friend ostream &operator<<(ostream &os, Mint x) { return os << x.v; } }; using mint = Mint<1000000007>; template <class T> struct Counting { Counting(int64_t n) { _fact.assign(n + 1, 1); for (int64_t i = 1; i <= n; i++) _fact[i] = T(i) * _fact[i - 1]; } T fact(int64_t n) { assert(0 <= n && n < (int)_fact.size()); return _fact[n]; } T perm(int64_t n, int64_t k) { if (n < k) return 0; return fact(n) / fact(n - k); } T comb(int64_t n, int64_t k) { if (n < k) return 0; return fact(n) / (fact(k) * fact(n - k)); } private: vector<T> _fact; }; int main() { Counting<mint> cnt(1123456); lint K; cin >> K; string S; cin >> S; lint N = S.size(); mint sum = 0; for (lint i = N; i <= N + K; i++) { sum += cnt.comb(i - 1, N - 1) * mint::pow(25, i - N) * mint::pow(26, N + K - i); } cout << sum << endl; }
#include <bits/stdc++.h> using namespace std; using lint = long long int; template <int64_t MOD> struct Mint { int64_t v; Mint() { v = 0; } Mint(int64_t x) { v = x % MOD; if (v < 0) v += MOD; } Mint operator-() { return Mint{-v}; }; Mint operator+(Mint x) { return Mint(v + x.v); }; Mint operator-(Mint x) { return Mint(v - x.v); }; Mint operator*(Mint x) { return Mint(v * x.v); }; Mint operator/(Mint x) { return Mint(v * pow(x.v, MOD - 2).v); }; Mint &operator+=(Mint x) { return *this = (*this + x); }; Mint &operator-=(Mint x) { return *this = (*this - x); }; Mint &operator*=(Mint x) { return *this = (*this * x); }; Mint &operator/=(Mint x) { return *this = (*this / x); }; static Mint pow(Mint base, int64_t exp) { if (exp == 0) return Mint(1); return pow(base * base, exp / 2) * (exp & 1 ? base : Mint(1)); } friend ostream &operator<<(ostream &os, Mint x) { return os << x.v; } }; using mint = Mint<1000000007>; template <class T> struct Counting { Counting(int64_t n) { _fact.assign(n + 1, 1); for (int64_t i = 1; i <= n; i++) _fact[i] = T(i) * _fact[i - 1]; } T fact(int64_t n) { assert(0 <= n && n < (int)_fact.size()); return _fact[n]; } T perm(int64_t n, int64_t k) { if (n < k) return 0; return fact(n) / fact(n - k); } T comb(int64_t n, int64_t k) { if (n < k) return 0; return fact(n) / (fact(k) * fact(n - k)); } private: vector<T> _fact; }; int main() { Counting<mint> cnt(2123456); lint K; cin >> K; string S; cin >> S; lint N = S.size(); mint sum = 0; for (lint i = N; i <= N + K; i++) { sum += cnt.comb(i - 1, N - 1) * mint::pow(25, i - N) * mint::pow(26, N + K - i); } cout << sum << endl; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> #define int long long using namespace std; const int MOD = 1e9 + 7; const int MAXN = 1e6 + 100; int qpow(int a, int b) { int res = 1; while (b) { if (b & 1) res = res * a % MOD; a = a * a % MOD; b /= 2; } return res; } int inv(int x) { return qpow(x, MOD - 2); } int fact[MAXN]; int comb(int n, int k) { return fact[n] * inv(fact[n - k] * fact[k] % MOD) % MOD; } int32_t main() { ios_base::sync_with_stdio(0); cin.tie(0); fact[0] = 1; for (int i = 1; i < MAXN; i++) fact[i] = fact[i - 1] * i % MOD; int K; string S; cin >> K >> S; int N = S.size(); int tot = qpow(26, K + N); for (int i = 0; i < N; i++) { tot = (tot + MOD - comb(N + K, i) * qpow(25, N + K - i) % MOD) % MOD; } cout << tot << '\n'; return 0; }
#include <bits/stdc++.h> #define int long long using namespace std; const int MOD = 1e9 + 7; const int MAXN = 2e6 + 100; int qpow(int a, int b) { int res = 1; while (b) { if (b & 1) res = res * a % MOD; a = a * a % MOD; b /= 2; } return res; } int inv(int x) { return qpow(x, MOD - 2); } int fact[MAXN]; int comb(int n, int k) { return fact[n] * inv(fact[n - k] * fact[k] % MOD) % MOD; } int32_t main() { ios_base::sync_with_stdio(0); cin.tie(0); fact[0] = 1; for (int i = 1; i < MAXN; i++) fact[i] = fact[i - 1] * i % MOD; int K; string S; cin >> K >> S; int N = S.size(); int tot = qpow(26, K + N); for (int i = 0; i < N; i++) { tot = (tot + MOD - comb(N + K, i) * qpow(25, N + K - i) % MOD) % MOD; } cout << tot << '\n'; return 0; }
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p02632
C++
Runtime Error
// #pragma GCC target("avx,avx2,fma") // #pragma GCC optimization ("Ofast") // #pragma GCC optimization ("unroll-loops") #include <bits/stdc++.h> using namespace std; // #include <ext/pb_ds/assoc_container.hpp> // #include <ext/pb_ds/tree_policy.hpp> // using namespace __gnu_pbds; // template <typename T> // using o_set = tree <T, null_type, less<T>, rb_tree_tag, // tree_order_statistics_node_update>; #define sfind(i) find_by_order(i) #define // ord(i) order_of_key(i) typedef long long ll; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef vector<pii> vii; typedef vector<pll> vll; #define mod 1000000007 #define rep(i, a, b) for (ll i = a; i < b; i++) #define repc(i, a, b, c) \ for (ll i = a; (c > 0 ? i < b : i > b) and c != 0; i += c) #define vi vector<int> #define vl vector<ll> #define _max(vec) (*max_element(all(vec))) #define _min(vec) (*min_element(all(vec))) #define fi first #define si second #define pb push_back #define all(name) name.begin(), name.end() #define ral(name) name.rbegin(), name.rend() #define fact(n) rep(i, 1, n + 1) ft.pb((ft[i - 1] * i) % mod) #define mod_in(a) power(a, mod - 2) #define ncr(n, r) \ (n >= r ? ((ft[n] * mod_in((ft[r] * ft[(n) - (r)]) % mod)) % mod) : 0LL) #define deb(x) cerr << "[" << #x << " " << x << "]" << endl; #define endl '\n' //....???? #define int ll vl ft(1, 1LL); /*======================================================================*/ ll power(ll x, ll y) { ll res = 1; x %= mod; while (y > 0) { if (y & 1) res = (res * x) % mod; y = y >> 1; x = (x * x) % mod; } return res % mod; } void solve() { fact(1000005); int k; string s; cin >> k >> s; int ans = 0, n = s.size(); rep(i, 0, k + 1) { ans += (ncr(n + k, i + n) * power(25, k - i)) % mod; if (ans >= mod) ans -= mod; } cout << ans; } signed main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); int t = 1; // cin >> t; while (t--) { solve(); } }
// #pragma GCC target("avx,avx2,fma") // #pragma GCC optimization ("Ofast") // #pragma GCC optimization ("unroll-loops") #include <bits/stdc++.h> using namespace std; // #include <ext/pb_ds/assoc_container.hpp> // #include <ext/pb_ds/tree_policy.hpp> // using namespace __gnu_pbds; // template <typename T> // using o_set = tree <T, null_type, less<T>, rb_tree_tag, // tree_order_statistics_node_update>; #define sfind(i) find_by_order(i) #define // ord(i) order_of_key(i) typedef long long ll; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef vector<pii> vii; typedef vector<pll> vll; #define mod 1000000007 #define rep(i, a, b) for (ll i = a; i < b; i++) #define repc(i, a, b, c) \ for (ll i = a; (c > 0 ? i < b : i > b) and c != 0; i += c) #define vi vector<int> #define vl vector<ll> #define _max(vec) (*max_element(all(vec))) #define _min(vec) (*min_element(all(vec))) #define fi first #define si second #define pb push_back #define all(name) name.begin(), name.end() #define ral(name) name.rbegin(), name.rend() #define fact(n) rep(i, 1, n + 1) ft.pb((ft[i - 1] * i) % mod) #define mod_in(a) power(a, mod - 2) #define ncr(n, r) \ (n >= r ? ((ft[n] * mod_in((ft[r] * ft[(n) - (r)]) % mod)) % mod) : 0LL) #define deb(x) cerr << "[" << #x << " " << x << "]" << endl; #define endl '\n' //....???? #define int ll vl ft(1, 1LL); /*======================================================================*/ ll power(ll x, ll y) { ll res = 1; x %= mod; while (y > 0) { if (y & 1) res = (res * x) % mod; y = y >> 1; x = (x * x) % mod; } return res % mod; } void solve() { fact(2000005); int k; string s; cin >> k >> s; int ans = 0, n = s.size(); rep(i, 0, k + 1) { ans += (ncr(n + k, i + n) * power(25, k - i)) % mod; if (ans >= mod) ans -= mod; } cout << ans; } signed main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); int t = 1; // cin >> t; while (t--) { solve(); } }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using lint = long long; using P = pair<int, int>; using vec = vector<int>; using mat = vector<vector<int>>; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define endl "\n" constexpr int MOD = 1000000007; const int INF = 1 << 30; const int MAX = 1100000; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } lint log_mul(lint base, lint bit) { lint res = 0; while (bit) { if (bit & 1) res = (res + base) % MOD; base = (base + base) % MOD; bit >>= 1; } return res; } 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; } int main() { lint k; cin >> k; string s; cin >> s; int n = s.size(); COMinit(); lint res = 0; for (int x = 0; x <= k; x++) { lint t; t = COM(n - 1 + k - x, k - x); t *= modpow(25, k - x); t %= MOD; t *= modpow(26, x); t %= MOD; res += t; res %= MOD; } cout << res << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using lint = long long; using P = pair<int, int>; using vec = vector<int>; using mat = vector<vector<int>>; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define endl "\n" constexpr int MOD = 1000000007; const int INF = 1 << 30; const int MAX = 2100000; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } lint log_mul(lint base, lint bit) { lint res = 0; while (bit) { if (bit & 1) res = (res + base) % MOD; base = (base + base) % MOD; bit >>= 1; } return res; } 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; } int main() { lint k; cin >> k; string s; cin >> s; int n = s.size(); COMinit(); lint res = 0; for (int x = 0; x <= k; x++) { lint t; t = COM(n - 1 + k - x, k - x); t *= modpow(25, k - x); t %= MOD; t *= modpow(26, x); t %= MOD; res += t; res %= MOD; } cout << res << endl; return 0; }
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p02632
C++
Runtime Error
// Problem : F - Strivore // Contest : AtCoder - AtCoder Beginner Contest 171 // URL : https://atcoder.jp/contests/abc171/tasks/abc171_f // Memory Limit : 1024 MB // Time Limit : 2000 ms // Powered by CP Editor (https://github.com/cpeditor/cpeditor) /* We want to count the number of strings T of length |S|+K such that the given string S is a subsequence of T. Let's fix T and try to build an algorithm to check if S is a subsequence. Our algorithm if successful will return a1,a2,...,a|S| such that Si=Tai. Let's build a in a way such that ai is minimum possible for all i. Note that for each i<|S|, characters Tai+1,...,Tai+1−1 can't be equal to Tai+1 (otherwise we can minimize ai+1), so for those characters we have limited choices (only 25). Characters after a|S| can be anything (26 choices). So, let's loop over how many characters will be after a|S|; let that number be x. We have 26x choices for that suffix. For each of the other K−x characters, we only have 25 choices, so we have 25K−x choices for them in total. Still, we have to decide how to distribute these K−x characters. We have |S| slots for them ( before the first character of S, between the first and the second character, ...). Using stars and bars, we can distribute them in (|S|−1−k−x|S|−1) ways. So, we will loop over x and add to the answer 25K−x∗26x∗(|S|−1−k−x|S|−1). */ /* ID: vqt LANG: C++14 PROB: namenum */ #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("Ofast") #include <bits/stdc++.h> #include <unistd.h> using namespace std; // for PDBS use only: // #include <ext/pb_ds/assoc_container.hpp> // #include <ext/pb_ds/tree_policy.hpp> // using namespace __gnu_pbds; // template <typename T> using o_set = tree<T, null_type, greater<T>, // rb_tree_tag, tree_order_statistics_node_update>; typedef long long ll; // #define ordered_set tree<pair<ll,ll>, null_type,less<pair<ll,ll>>, // rb_tree_tag,tree_order_statistics_node_update> // defines #define int long long // #define double long double #define vec vector #define vi vector<int> #define vvi vector<vector<int>> #define ii pair<int, int> #define F first #define S second #define MP make_pair #define vii vector<ii> #define PQ priority_queue #define minPQ priority_queue<int, vt<int>, greater<int>> #define PB push_back #define LB lower_bound #define UB upper_bound #define ER equal_range #define ALL(x) begin(x), end(x) #define SZ(x) ((int)(x).size()) #define FOR(i, a, b) for (int i = (a); i < (b); i++) #define FORE(i, a, b) for (int i = (a); i <= (b); i++) #define FORD(i, a, b) for (int i = (a); i >= (b); i--) #define UNI(c) c.resize(distance(c.begin(), unique(c.begin(), c.end()))); #define SORT_UNI(c) \ (sort(c.begin(), c.end()), \ c.resize(distance(c.begin(), unique(c.begin(), c.end())))) #define POS(c, x) (lower_bound(c.begin(), c.end(), (x)) - c.begin()) #define max(a, b) ((a) < (b) ? b : a) #define min(a, b) ((a) < (b) ? a : b) #define setmin(a, b) a = min(a, b) #define setmax(a, b) a = max(a, b) #define MINMAX(x) minmax_element(begin(x), end(x)) // permanent constants const long long INF64 = 1e18; const int INF32 = 1e9; const double EPS = static_cast<double>(1e-10); const double PI = 2.0 * acos(0.0); // acos(-1.0L); const int MOD = (int)1e9 + 7; // 998244353 ll powMod(ll a, ll b) { ll res = 1; a %= MOD; assert(b >= 0); for (; b; b >>= 1) { if (b & 1) res = res * a % MOD; a = a * a % MOD; } return res; } ll invMod(ll a) { ll b = MOD, u = 1, v = 0; while (b) { ll t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return (MOD + u) % MOD; } const int day[12] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; // random mt19937 rnd( 239); //(chrono::high_resolution_clock::now().time_since_epoch().count()); // Tricks: // Sort w Lambda Function: sort(begin(v), end(v), [] (int a, int b) { return a // > b; }); Sort vector cua bo ba so: struct MyStr {int a, b, c;}; // vector<MyStr> v; ...fill v... sort(all(v), [](MyStr &A, MyStr &B) { return // tie(A.a, A.b, A.c) < tie(B.a, B.b, B.c); }); #define odd(x) ((x)&1) #define even(x) !((x)&1) // vec - vector, p(x) - predicate so that p(x) = true for all elements of some // prefix of vector vec and false on all others. To find the first place where // p(x) doesn't hold one can simply use: #define FIRST_FAIL(vec, p) partition_point(ALL(vec), p) - vec.begin() // partition_point(begin, end, p) returns the first ITERATOR it that p(*it) = // false #define isIn(vec, key) binary_search(ALL(vec), key) #define toBool(num) !!(num) #define bin(N, num) cerr << bitset<N>(num) << "\n" // vector a: tinh XOR sum tu l den r: #define XORsum(a, l, r) \ accumulate(a.begin() + l - 1, a.begin() + r, 0, \ [](int x, int y) { return x ^ y; }) // BASIC STRING: just like vector but allows to use a few string member // functions/operators: operator+ and operator+=.: /* int n; basic_string<int> a; cin >> n; FOR(i, 0, n) { int x; cin >> x; a += x; } a += a; a = a.substr(n/2, n); cout << (a + a).find({1, 2, 1}) << '\n'; */ // count(a.begin(), a.end(), val) - count how many val in an array a vector<int> prefixSum(vector<int> &a) { vi b; std::partial_sum(a.begin(), a.end(), b.begin()); return b; } int mostSignDigit(int n) { double k = log10(n); return (int)pow(10, k - floor(k)); } int numOfDigits(int n) { return (int)floor(log10(n)) + 1; } bool isPowerOfTwo(int x) { return x && (!(x & (x - 1))); } // first x is for the case x=0 bool allPositive(vector<int> &a) { return all_of(begin(a), end(a), [](int x) { return x > 0; }); } // are all of the elements positive? // CHECK there is all numbers in array is positive: bool ok=true; for(auto z: a) // ok &= (z>0); bool anyPositive(vector<int> &a) { return any_of(begin(a), end(a), [](int x) { return x > 0; }); } // is there at least one positive element? bool nonePositive(vector<int> &a) { return none_of(begin(a), end(a), [](int x) { return x > 0; }); } // are none of the elements positive? void FILEIO() { freopen("in.txt", "r", stdin); freopen("out.txt", "w", stdout); } // void FILEIO() { freopen("berries.in", "r", stdin); freopen("berries.out", // "w", stdout); } // USACO /****************** DEBUG *******************/ // Universal DEBUG: https://codeforces.com/blog/entry/68809 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 ? "T" : "F"); } 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...); } // #define ONLINE_JUDGE #ifndef ONLINE_JUDGE #define debug(x...) \ cerr << "[" << #x << "] = ["; \ _print(x) #else #define debug(x...) #endif //********************** Codes go here *********************/ //************ MODULAR ARITHMETIC LIB ***************************/ template <int MOD> struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % MOD) { // dinh nghia Fp(v) = (v % MOD) if (val < 0) val += MOD; } constexpr int getmod() { return MOD; } // get MOD constexpr Fp operator-() const noexcept { return val ? MOD - val : 0; } // phep toan "-" constexpr Fp operator+(const Fp &r) const noexcept { return Fp(*this) += r; } // phep toan "+=" constexpr Fp operator-(const Fp &r) const noexcept { return Fp(*this) -= r; } // phep toan "-=" constexpr Fp operator*(const Fp &r) const noexcept { return Fp(*this) *= r; } // phep toan "*=" constexpr Fp operator/(const Fp &r) const noexcept { return Fp(*this) /= r; } // phep toan "/=" constexpr Fp &operator+=(const Fp &r) noexcept { val += r.val; if (val >= MOD) val -= MOD; return *this; } constexpr Fp &operator-=(const Fp &r) noexcept { val -= r.val; if (val < 0) val += MOD; return *this; } constexpr Fp &operator*=(const Fp &r) noexcept { val = val * r.val % MOD; return *this; } constexpr Fp &operator/=( const Fp &r) noexcept { // dinh nghia phep chia, dung thuat toan inverse long long a = r.val, 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); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } constexpr bool operator==(const Fp &r) const noexcept { return this->val == r.val; } constexpr bool operator!=(const Fp &r) const noexcept { return this->val != r.val; } friend constexpr ostream &operator<<(ostream &os, const Fp<MOD> &x) noexcept { return os << x.val; } friend constexpr Fp<MOD> modpow(const Fp<MOD> &a, long long n) noexcept { if (n == 0) return 1; auto t = modpow(a, n / 2); t = t * t; if (n & 1) t = t * a; return t; } }; template <class T> struct BiCoef { // tinh C(k, n) vector<T> fact_, inv_, finv_; constexpr BiCoef() {} constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) { init(n); } constexpr void init(int n) noexcept { fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1); // int MOD = fact_[0].getmod(); // thuong trong code se co global const nay for (int i = 2; i < n; i++) { fact_[i] = fact_[i - 1] * i; // i! inv_[i] = -inv_[MOD % i] * (MOD / i); // inverse cua so i finv_[i] = finv_[i - 1] * inv_[i]; // factorial inverse } } constexpr T C(int k, int n) const noexcept { // tinh C(k, n) if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[k] * finv_[n - k]; } constexpr T fact(int n) const noexcept { if (n < 0) return 0; return fact_[n]; } constexpr T inv(int n) const noexcept { if (n < 0) return 0; return inv_[n]; } constexpr T finv(int n) const noexcept { if (n < 0) return 0; return finv_[n]; } }; // const int MOD = 1000000007; using mint = Fp<MOD>; // mint = modular int BiCoef<mint> bc; // tao class de tinh C(k, n) void preCalc() { bc.init(1000050); } // precompute tat ca C(k,n) voi n = 500050, k = 1, n void solve() { int k; string s; cin >> k >> s; int n = s.length(); preCalc(); mint sum = 0; FORE(x, 0, k) { mint a = powMod(26, x) * powMod(25, k - x) % MOD; sum += a * bc.C(k - x, k - x + n - 1); ; } cout << sum << endl; } signed main() { ios_base::sync_with_stdio(false); cin.tie(); // FILEIO(); // auto beginProgram = chrono::steady_clock::now(); // preCalc(); // any 1-time precalculation need to do before many test cases? // int t; cin >> t; FORE(i, 1, t) { // cout << "Case #" << i << ": "; // Google CodeJam style solve(); } // auto endProgram = chrono::steady_clock::now(); // cerr << chrono::duration_cast<chrono::milliseconds>(endProgram - // beginProgram).count() << " ms" << endl; return 0; }
// Problem : F - Strivore // Contest : AtCoder - AtCoder Beginner Contest 171 // URL : https://atcoder.jp/contests/abc171/tasks/abc171_f // Memory Limit : 1024 MB // Time Limit : 2000 ms // Powered by CP Editor (https://github.com/cpeditor/cpeditor) /* We want to count the number of strings T of length |S|+K such that the given string S is a subsequence of T. Let's fix T and try to build an algorithm to check if S is a subsequence. Our algorithm if successful will return a1,a2,...,a|S| such that Si=Tai. Let's build a in a way such that ai is minimum possible for all i. Note that for each i<|S|, characters Tai+1,...,Tai+1−1 can't be equal to Tai+1 (otherwise we can minimize ai+1), so for those characters we have limited choices (only 25). Characters after a|S| can be anything (26 choices). So, let's loop over how many characters will be after a|S|; let that number be x. We have 26x choices for that suffix. For each of the other K−x characters, we only have 25 choices, so we have 25K−x choices for them in total. Still, we have to decide how to distribute these K−x characters. We have |S| slots for them ( before the first character of S, between the first and the second character, ...). Using stars and bars, we can distribute them in (|S|−1−k−x|S|−1) ways. So, we will loop over x and add to the answer 25K−x∗26x∗(|S|−1−k−x|S|−1). */ /* ID: vqt LANG: C++14 PROB: namenum */ #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("Ofast") #include <bits/stdc++.h> #include <unistd.h> using namespace std; // for PDBS use only: // #include <ext/pb_ds/assoc_container.hpp> // #include <ext/pb_ds/tree_policy.hpp> // using namespace __gnu_pbds; // template <typename T> using o_set = tree<T, null_type, greater<T>, // rb_tree_tag, tree_order_statistics_node_update>; typedef long long ll; // #define ordered_set tree<pair<ll,ll>, null_type,less<pair<ll,ll>>, // rb_tree_tag,tree_order_statistics_node_update> // defines #define int long long // #define double long double #define vec vector #define vi vector<int> #define vvi vector<vector<int>> #define ii pair<int, int> #define F first #define S second #define MP make_pair #define vii vector<ii> #define PQ priority_queue #define minPQ priority_queue<int, vt<int>, greater<int>> #define PB push_back #define LB lower_bound #define UB upper_bound #define ER equal_range #define ALL(x) begin(x), end(x) #define SZ(x) ((int)(x).size()) #define FOR(i, a, b) for (int i = (a); i < (b); i++) #define FORE(i, a, b) for (int i = (a); i <= (b); i++) #define FORD(i, a, b) for (int i = (a); i >= (b); i--) #define UNI(c) c.resize(distance(c.begin(), unique(c.begin(), c.end()))); #define SORT_UNI(c) \ (sort(c.begin(), c.end()), \ c.resize(distance(c.begin(), unique(c.begin(), c.end())))) #define POS(c, x) (lower_bound(c.begin(), c.end(), (x)) - c.begin()) #define max(a, b) ((a) < (b) ? b : a) #define min(a, b) ((a) < (b) ? a : b) #define setmin(a, b) a = min(a, b) #define setmax(a, b) a = max(a, b) #define MINMAX(x) minmax_element(begin(x), end(x)) // permanent constants const long long INF64 = 1e18; const int INF32 = 1e9; const double EPS = static_cast<double>(1e-10); const double PI = 2.0 * acos(0.0); // acos(-1.0L); const int MOD = (int)1e9 + 7; // 998244353 ll powMod(ll a, ll b) { ll res = 1; a %= MOD; assert(b >= 0); for (; b; b >>= 1) { if (b & 1) res = res * a % MOD; a = a * a % MOD; } return res; } ll invMod(ll a) { ll b = MOD, u = 1, v = 0; while (b) { ll t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return (MOD + u) % MOD; } const int day[12] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; // random mt19937 rnd( 239); //(chrono::high_resolution_clock::now().time_since_epoch().count()); // Tricks: // Sort w Lambda Function: sort(begin(v), end(v), [] (int a, int b) { return a // > b; }); Sort vector cua bo ba so: struct MyStr {int a, b, c;}; // vector<MyStr> v; ...fill v... sort(all(v), [](MyStr &A, MyStr &B) { return // tie(A.a, A.b, A.c) < tie(B.a, B.b, B.c); }); #define odd(x) ((x)&1) #define even(x) !((x)&1) // vec - vector, p(x) - predicate so that p(x) = true for all elements of some // prefix of vector vec and false on all others. To find the first place where // p(x) doesn't hold one can simply use: #define FIRST_FAIL(vec, p) partition_point(ALL(vec), p) - vec.begin() // partition_point(begin, end, p) returns the first ITERATOR it that p(*it) = // false #define isIn(vec, key) binary_search(ALL(vec), key) #define toBool(num) !!(num) #define bin(N, num) cerr << bitset<N>(num) << "\n" // vector a: tinh XOR sum tu l den r: #define XORsum(a, l, r) \ accumulate(a.begin() + l - 1, a.begin() + r, 0, \ [](int x, int y) { return x ^ y; }) // BASIC STRING: just like vector but allows to use a few string member // functions/operators: operator+ and operator+=.: /* int n; basic_string<int> a; cin >> n; FOR(i, 0, n) { int x; cin >> x; a += x; } a += a; a = a.substr(n/2, n); cout << (a + a).find({1, 2, 1}) << '\n'; */ // count(a.begin(), a.end(), val) - count how many val in an array a vector<int> prefixSum(vector<int> &a) { vi b; std::partial_sum(a.begin(), a.end(), b.begin()); return b; } int mostSignDigit(int n) { double k = log10(n); return (int)pow(10, k - floor(k)); } int numOfDigits(int n) { return (int)floor(log10(n)) + 1; } bool isPowerOfTwo(int x) { return x && (!(x & (x - 1))); } // first x is for the case x=0 bool allPositive(vector<int> &a) { return all_of(begin(a), end(a), [](int x) { return x > 0; }); } // are all of the elements positive? // CHECK there is all numbers in array is positive: bool ok=true; for(auto z: a) // ok &= (z>0); bool anyPositive(vector<int> &a) { return any_of(begin(a), end(a), [](int x) { return x > 0; }); } // is there at least one positive element? bool nonePositive(vector<int> &a) { return none_of(begin(a), end(a), [](int x) { return x > 0; }); } // are none of the elements positive? void FILEIO() { freopen("in.txt", "r", stdin); freopen("out.txt", "w", stdout); } // void FILEIO() { freopen("berries.in", "r", stdin); freopen("berries.out", // "w", stdout); } // USACO /****************** DEBUG *******************/ // Universal DEBUG: https://codeforces.com/blog/entry/68809 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 ? "T" : "F"); } 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...); } // #define ONLINE_JUDGE #ifndef ONLINE_JUDGE #define debug(x...) \ cerr << "[" << #x << "] = ["; \ _print(x) #else #define debug(x...) #endif //********************** Codes go here *********************/ //************ MODULAR ARITHMETIC LIB ***************************/ template <int MOD> struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % MOD) { // dinh nghia Fp(v) = (v % MOD) if (val < 0) val += MOD; } constexpr int getmod() { return MOD; } // get MOD constexpr Fp operator-() const noexcept { return val ? MOD - val : 0; } // phep toan "-" constexpr Fp operator+(const Fp &r) const noexcept { return Fp(*this) += r; } // phep toan "+=" constexpr Fp operator-(const Fp &r) const noexcept { return Fp(*this) -= r; } // phep toan "-=" constexpr Fp operator*(const Fp &r) const noexcept { return Fp(*this) *= r; } // phep toan "*=" constexpr Fp operator/(const Fp &r) const noexcept { return Fp(*this) /= r; } // phep toan "/=" constexpr Fp &operator+=(const Fp &r) noexcept { val += r.val; if (val >= MOD) val -= MOD; return *this; } constexpr Fp &operator-=(const Fp &r) noexcept { val -= r.val; if (val < 0) val += MOD; return *this; } constexpr Fp &operator*=(const Fp &r) noexcept { val = val * r.val % MOD; return *this; } constexpr Fp &operator/=( const Fp &r) noexcept { // dinh nghia phep chia, dung thuat toan inverse long long a = r.val, 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); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } constexpr bool operator==(const Fp &r) const noexcept { return this->val == r.val; } constexpr bool operator!=(const Fp &r) const noexcept { return this->val != r.val; } friend constexpr ostream &operator<<(ostream &os, const Fp<MOD> &x) noexcept { return os << x.val; } friend constexpr Fp<MOD> modpow(const Fp<MOD> &a, long long n) noexcept { if (n == 0) return 1; auto t = modpow(a, n / 2); t = t * t; if (n & 1) t = t * a; return t; } }; template <class T> struct BiCoef { // tinh C(k, n) vector<T> fact_, inv_, finv_; constexpr BiCoef() {} constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) { init(n); } constexpr void init(int n) noexcept { fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1); // int MOD = fact_[0].getmod(); // thuong trong code se co global const nay for (int i = 2; i < n; i++) { fact_[i] = fact_[i - 1] * i; // i! inv_[i] = -inv_[MOD % i] * (MOD / i); // inverse cua so i finv_[i] = finv_[i - 1] * inv_[i]; // factorial inverse } } constexpr T C(int k, int n) const noexcept { // tinh C(k, n) if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[k] * finv_[n - k]; } constexpr T fact(int n) const noexcept { if (n < 0) return 0; return fact_[n]; } constexpr T inv(int n) const noexcept { if (n < 0) return 0; return inv_[n]; } constexpr T finv(int n) const noexcept { if (n < 0) return 0; return finv_[n]; } }; // const int MOD = 1000000007; using mint = Fp<MOD>; // mint = modular int BiCoef<mint> bc; // tao class de tinh C(k, n) void preCalc() { bc.init(2000050); } // precompute tat ca C(k,n) voi n = 500050, k = 1, n void solve() { int k; string s; cin >> k >> s; int n = s.length(); preCalc(); mint sum = 0; FORE(x, 0, k) { mint a = powMod(26, x) * powMod(25, k - x) % MOD; sum += a * bc.C(k - x, k - x + n - 1); ; } cout << sum << endl; } signed main() { ios_base::sync_with_stdio(false); cin.tie(); // FILEIO(); // auto beginProgram = chrono::steady_clock::now(); // preCalc(); // any 1-time precalculation need to do before many test cases? // int t; cin >> t; FORE(i, 1, t) { // cout << "Case #" << i << ": "; // Google CodeJam style solve(); } // auto endProgram = chrono::steady_clock::now(); // cerr << chrono::duration_cast<chrono::milliseconds>(endProgram - // beginProgram).count() << " ms" << endl; return 0; }
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#include <algorithm> #include <assert.h> #include <cmath> #include <cstdio> #include <fstream> #include <iomanip> #include <iostream> #include <iterator> #include <list> #include <map> #include <numeric> #include <queue> #include <set> #include <sstream> #include <stack> #include <unordered_map> #include <vector> #define fast ios_base::sync_with_stdio(false) #define mxn (ll)(1e5 + 5) #define mod (ll)(1e9 + 7) #define mod1 (ll)(998244353) #define ll long long int #define ld long double #define vi vector<ll> #define vvi vector<vi> #define pi pair<ll, ll> #define vvpi vector<vector<pi>> #define vpi vector<pi> #define vppi vector<pair<ll, pi>> #define vs vector<string> #define all(v) v.begin(), v.end() #define rall(v) v.rbegin(), v.rend() #define pb push_back #define eb emplace_back #define mkp make_pair #define fs first #define se second #define crz(v, n) v.clear(), v.resize(n + 1, 0) #define print(v) \ for (ll it = 0; it < v.size(); it++) \ cout << v[it] << " "; \ cout << endl #define printp(v) \ for (ll it = 0; it < v.size(); it++) \ cout << v[it].first << " " << v[it].second << endl using namespace std; vi fact(mxn, 1); ll powe(ll x, ll y) { ll s = 1; while (y) { if (y % 2) s = (s * x) % mod; y /= 2; x = (x * x) % mod; } return s; } ll ncr(ll n, ll r) { ll den = (powe(fact[r], mod - 2) * powe(fact[n - r], mod - 2)) % mod; return (fact[n] * den) % mod; } int main() { fast; int k; string s; cin >> k >> s; int n = s.size() + k, i; for (i = 1; i <= n; i++) fact[i] = (fact[i - 1] * i) % mod; ll c = powe(26, n); for (i = 0; i < (int)s.size(); i++) { ll x = (powe(25, n - i) * ncr(n, i)) % mod; c = (c - x + mod) % mod; } cout << c << endl; }
#include <algorithm> #include <assert.h> #include <cmath> #include <cstdio> #include <fstream> #include <iomanip> #include <iostream> #include <iterator> #include <list> #include <map> #include <numeric> #include <queue> #include <set> #include <sstream> #include <stack> #include <unordered_map> #include <vector> #define fast ios_base::sync_with_stdio(false) #define mxn (ll)(2e6 + 5) #define mod (ll)(1e9 + 7) #define mod1 (ll)(998244353) #define ll long long int #define ld long double #define vi vector<ll> #define vvi vector<vi> #define pi pair<ll, ll> #define vvpi vector<vector<pi>> #define vpi vector<pi> #define vppi vector<pair<ll, pi>> #define vs vector<string> #define all(v) v.begin(), v.end() #define rall(v) v.rbegin(), v.rend() #define pb push_back #define eb emplace_back #define mkp make_pair #define fs first #define se second #define crz(v, n) v.clear(), v.resize(n + 1, 0) #define print(v) \ for (ll it = 0; it < v.size(); it++) \ cout << v[it] << " "; \ cout << endl #define printp(v) \ for (ll it = 0; it < v.size(); it++) \ cout << v[it].first << " " << v[it].second << endl using namespace std; vi fact(mxn, 1); ll powe(ll x, ll y) { ll s = 1; while (y) { if (y % 2) s = (s * x) % mod; y /= 2; x = (x * x) % mod; } return s; } ll ncr(ll n, ll r) { ll den = (powe(fact[r], mod - 2) * powe(fact[n - r], mod - 2)) % mod; return (fact[n] * den) % mod; } int main() { fast; int k; string s; cin >> k >> s; int n = s.size() + k, i; for (i = 1; i <= n; i++) fact[i] = (fact[i - 1] * i) % mod; ll c = powe(26, n); for (i = 0; i < (int)s.size(); i++) { ll x = (powe(25, n - i) * ncr(n, i)) % mod; c = (c - x + mod) % mod; } cout << c << endl; }
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C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using ll = long long; const int maxn = 2e5 + 555; const int MOD = 1e9 + 7; ll xpow(ll a, ll b) { ll ret = 1; a %= MOD; assert(b >= 0); while (b) { if (b & 1) ret = ret * a % MOD; a = a * a % MOD; b >>= 1; } return ret; } int32_t main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cout.precision(10); cout << fixed; static ll inv[maxn + 555], invp[maxn + 555], p[maxn + 555]; inv[1] = 1; for (int i = 2; i <= maxn; i++) inv[i] = inv[MOD % i] * (MOD - MOD / i) % MOD; p[0] = 1; for (int i = 1; i <= maxn; i++) p[i] = p[i - 1] * i % MOD; invp[0] = 1; for (int i = 1; i <= maxn; i++) invp[i] = invp[i - 1] * inv[i] % MOD; auto C = [&](int a, int b) -> ll { if (a < b) return 0; else return p[a] * invp[b] % MOD * invp[a - b] % MOD; }; int n; string s; cin >> n >> s; ll ans = 0; int tot = n + (int)s.size(); for (int i = (int)s.size(); i <= tot; i++) { // 枚举放i个a,剩下地方放b..z (ans += C(tot, i) * xpow(25, tot - i)) %= MOD; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; const int maxn = 2e6 + 555; const int MOD = 1e9 + 7; ll xpow(ll a, ll b) { ll ret = 1; a %= MOD; assert(b >= 0); while (b) { if (b & 1) ret = ret * a % MOD; a = a * a % MOD; b >>= 1; } return ret; } int32_t main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cout.precision(10); cout << fixed; static ll inv[maxn + 555], invp[maxn + 555], p[maxn + 555]; inv[1] = 1; for (int i = 2; i <= maxn; i++) inv[i] = inv[MOD % i] * (MOD - MOD / i) % MOD; p[0] = 1; for (int i = 1; i <= maxn; i++) p[i] = p[i - 1] * i % MOD; invp[0] = 1; for (int i = 1; i <= maxn; i++) invp[i] = invp[i - 1] * inv[i] % MOD; auto C = [&](int a, int b) -> ll { if (a < b) return 0; else return p[a] * invp[b] % MOD * invp[a - b] % MOD; }; int n; string s; cin >> n >> s; ll ans = 0; int tot = n + (int)s.size(); for (int i = (int)s.size(); i <= tot; i++) { // 枚举放i个a,剩下地方放b..z (ans += C(tot, i) * xpow(25, tot - i)) %= MOD; } cout << ans << endl; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define REP(i, s) for (int i = 0; i < s; ++i) #define ALL(v) (v).begin(), (v).end() #define COUT(x) cout << #x << " = " << (x) << " (L" << __LINE__ << ")" << endl #define EACH(i, s) \ for (__typeof__((s).begin()) i = (s).begin(); i != (s).end(); ++i) #define DEBUG #define int long long #define INF 1e18 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; } template <class T1, class T2> ostream &operator<<(ostream &s, pair<T1, T2> P) { return s << '<' << P.first << ", " << P.second << '>'; } template <class T> ostream &operator<<(ostream &s, vector<T> P) { for (int i = 0; i < P.size(); ++i) { if (i > 0) { s << " "; } s << P[i]; } return s; } template <class T> ostream &operator<<(ostream &s, vector<vector<T>> P) { for (int i = 0; i < P.size(); ++i) { s << endl << P[i]; } return s << endl; } template <class T> ostream &operator<<(ostream &s, set<T> P) { EACH(it, P) { s << "<" << *it << "> "; } return s << endl; } template <class T1, class T2> ostream &operator<<(ostream &s, map<T1, T2> P) { EACH(it, P) { s << "<" << it->first << "->" << it->second << "> "; } return s << endl; } template <class T> void show(vector<T> v) { for (int i = 0; i < v.size(); i++) { cerr << v[i] << " "; } cerr << "\n"; } typedef long long ll; const int MAX = 1000010; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll add(ll x, ll y) { x += y; if (x >= MOD) return x - MOD; return x; } ll sub(ll x, ll y) { x -= y; if (x < 0) return x + MOD; return x; } ll mult(ll x, ll y) { return (x * y) % MOD; } ll bin_pow(ll x, ll p) { if (p == 0) return 1; if (p & 1) return mult(x, bin_pow(x, p - 1)); return bin_pow(mult(x, x), p / 2); } signed main() { ios::sync_with_stdio(false); cin.tie(nullptr); int k; cin >> k; string s; cin >> s; int N = (int)s.size() + k; int n = (int)s.size(); COMinit(); int ans = 0; for (int i = n; i <= N; i++) { int x = bin_pow(25, i - n); int y = bin_pow(26, N - i); int z = COM(i - 1, n - 1); // cerr<<i-n<<" "<<N-i<<" "<<z<<" "<<ans<<endl; ans += mult(z, mult(x, y)); ans %= MOD; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define REP(i, s) for (int i = 0; i < s; ++i) #define ALL(v) (v).begin(), (v).end() #define COUT(x) cout << #x << " = " << (x) << " (L" << __LINE__ << ")" << endl #define EACH(i, s) \ for (__typeof__((s).begin()) i = (s).begin(); i != (s).end(); ++i) #define DEBUG #define int long long #define INF 1e18 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; } template <class T1, class T2> ostream &operator<<(ostream &s, pair<T1, T2> P) { return s << '<' << P.first << ", " << P.second << '>'; } template <class T> ostream &operator<<(ostream &s, vector<T> P) { for (int i = 0; i < P.size(); ++i) { if (i > 0) { s << " "; } s << P[i]; } return s; } template <class T> ostream &operator<<(ostream &s, vector<vector<T>> P) { for (int i = 0; i < P.size(); ++i) { s << endl << P[i]; } return s << endl; } template <class T> ostream &operator<<(ostream &s, set<T> P) { EACH(it, P) { s << "<" << *it << "> "; } return s << endl; } template <class T1, class T2> ostream &operator<<(ostream &s, map<T1, T2> P) { EACH(it, P) { s << "<" << it->first << "->" << it->second << "> "; } return s << endl; } template <class T> void show(vector<T> v) { for (int i = 0; i < v.size(); i++) { cerr << v[i] << " "; } cerr << "\n"; } typedef long long ll; const int MAX = 2000010; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll add(ll x, ll y) { x += y; if (x >= MOD) return x - MOD; return x; } ll sub(ll x, ll y) { x -= y; if (x < 0) return x + MOD; return x; } ll mult(ll x, ll y) { return (x * y) % MOD; } ll bin_pow(ll x, ll p) { if (p == 0) return 1; if (p & 1) return mult(x, bin_pow(x, p - 1)); return bin_pow(mult(x, x), p / 2); } signed main() { ios::sync_with_stdio(false); cin.tie(nullptr); int k; cin >> k; string s; cin >> s; int N = (int)s.size() + k; int n = (int)s.size(); COMinit(); int ans = 0; for (int i = n; i <= N; i++) { int x = bin_pow(25, i - n); int y = bin_pow(26, N - i); int z = COM(i - 1, n - 1); // cerr<<i-n<<" "<<N-i<<" "<<z<<" "<<ans<<endl; ans += mult(z, mult(x, y)); ans %= MOD; } cout << ans << endl; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> #define rgi register int #define ll long long class fastin { private: int _ch, _f; public: inline fastin &operator>>(char &c) { c = getchar(); return *this; } template <typename _Tp> inline fastin &operator>>(_Tp &_x) { _x = 0; while (!isdigit(_ch)) _f |= (_ch == 45), _ch = getchar(); while (isdigit(_ch)) _x = (_x << 1) + (_x << 3) + (_ch ^ 48), _ch = getchar(); _f && (_x = -_x, _f = 0); return *this; } fastin() { _ch = _f = 0; } } fin; class fastout { #define endl '\n' private: int _num[32], _head; public: inline fastout &operator<<(char c) { putchar(c); return *this; } template <typename _Tp> inline fastout &operator<<(_Tp _x) { _Tp _k; if (_x == 0) { putchar('0'); return *this; } if (_x < 0) putchar('-'), _x = -_x; while (_x > 0) _k = _x / 10, ++_head, _num[_head] = (_x - (_k << 1) - (_k << 3)) ^ 48, _x = _k; while (_head > 0) putchar(_num[_head]), --_head; return *this; } fastout() { _head = 0; } } fout; // ---------------------------- // #define int ll // using namespace std; const int maxn = 1000004; const int mod = 1000000007, inf = 1000000007; std::string s; inline ll powmod(ll a, ll b) { ll res = 1; while (b > 0) { if (b & 1) (res *= a) %= mod; (a *= a) %= mod, b >>= 1; } return res; } ll fact[maxn], invfact[maxn]; inline void init() { fact[0] = invfact[0] = 1; for (rgi i = 1; i < maxn; ++i) fact[i] = fact[i - 1] * i % mod, invfact[i] = powmod(fact[i], mod - 2); } inline ll C(ll n, ll m) { return fact[n] * invfact[m] % mod * invfact[n - m] % mod; } signed main() { int n; fin >> n; std::cin >> s; init(); int len = s.length() - 1; ll ans = 0; for (rgi i = 0; i <= n; ++i) (ans += powmod(26, i) * powmod(25, n - i) % mod * C(n - i + len, len)) %= mod; fout << ans; return 0; } // ---------------------------- // by imzzy
#include <bits/stdc++.h> #define rgi register int #define ll long long class fastin { private: int _ch, _f; public: inline fastin &operator>>(char &c) { c = getchar(); return *this; } template <typename _Tp> inline fastin &operator>>(_Tp &_x) { _x = 0; while (!isdigit(_ch)) _f |= (_ch == 45), _ch = getchar(); while (isdigit(_ch)) _x = (_x << 1) + (_x << 3) + (_ch ^ 48), _ch = getchar(); _f && (_x = -_x, _f = 0); return *this; } fastin() { _ch = _f = 0; } } fin; class fastout { #define endl '\n' private: int _num[32], _head; public: inline fastout &operator<<(char c) { putchar(c); return *this; } template <typename _Tp> inline fastout &operator<<(_Tp _x) { _Tp _k; if (_x == 0) { putchar('0'); return *this; } if (_x < 0) putchar('-'), _x = -_x; while (_x > 0) _k = _x / 10, ++_head, _num[_head] = (_x - (_k << 1) - (_k << 3)) ^ 48, _x = _k; while (_head > 0) putchar(_num[_head]), --_head; return *this; } fastout() { _head = 0; } } fout; // ---------------------------- // #define int ll // using namespace std; const int maxn = 2000004; const int mod = 1000000007, inf = 1000000007; std::string s; inline ll powmod(ll a, ll b) { ll res = 1; while (b > 0) { if (b & 1) (res *= a) %= mod; (a *= a) %= mod, b >>= 1; } return res; } ll fact[maxn], invfact[maxn]; inline void init() { fact[0] = invfact[0] = 1; for (rgi i = 1; i < maxn; ++i) fact[i] = fact[i - 1] * i % mod, invfact[i] = powmod(fact[i], mod - 2); } inline ll C(ll n, ll m) { return fact[n] * invfact[m] % mod * invfact[n - m] % mod; } signed main() { int n; fin >> n; std::cin >> s; init(); int len = s.length() - 1; ll ans = 0; for (rgi i = 0; i <= n; ++i) (ans += powmod(26, i) * powmod(25, n - i) % mod * C(n - i + len, len)) %= mod; fout << ans; return 0; } // ---------------------------- // by imzzy
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p02632
C++
Time Limit Exceeded
const int isDebugMode = 1; #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<long long, long long> P; struct edge { long long to, cost; }; const int inf = 1 << 27; const long long INF = 1LL << 60; const int COMBMAX = 1001001; const long long MOD = 1000000007; const long long dy[] = {-1, 0, 0, 1}; const long long dx[] = {0, -1, 1, 0}; string abc = "abcdefghijklmnopqrstuvwxyz"; #define rep(i, n) for (int i = 0; i < (n); ++i) #define eachdo(v, e) for (const auto &e : (v)) #define all(v) (v).begin(), (v).end() #define lower_index(v, e) \ (long long)distance((v).begin(), lower_bound((v).begin(), (v).end(), e)) #define upper_index(v, e) \ (long long)distance((v).begin(), upper_bound((v).begin(), (v).end(), e)) long long mpow(long long a, long long n, long long mod = MOD) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } void pt() { cout << endl; return; } template <class Head> void pt(Head &&head) { cout << head; pt(); return; } template <class Head, class... Tail> void pt(Head &&head, Tail &&...tail) { cout << head << " "; pt(forward<Tail>(tail)...); } void dpt() { if (!isDebugMode) return; cout << endl; return; } template <class Head> void dpt(Head &&head) { if (!isDebugMode) return; cout << head; pt(); return; } template <class Head, class... Tail> void dpt(Head &&head, Tail &&...tail) { if (!isDebugMode) return; cout << head << " "; pt(forward<Tail>(tail)...); } template <class T> void debug(T v) { if (!isDebugMode) return; rep(i, v.size()) cout << v[i] << " "; cout << endl; } template <class T> void debug2(T v) { if (!isDebugMode) return; rep(i, v.size()) { rep(j, v[i].size()) cout << v[i][j] << " "; cout << endl; } } template <class T1, class T2> inline bool chmin(T1 &a, T2 b) { if (a > b) { a = b; return true; } return false; } template <class T1, class T2> inline bool chmax(T1 &a, T2 b) { if (a < b) { a = b; return true; } return false; } template <class T1, class T2> long long gcd(T1 a, T2 b) { return a % b ? gcd(b, a % b) : b; } template <class T1, class T2> void reduce(T1 &a, T2 &b) { ll g = gcd(a, b); a /= g; b /= g; return; } bool valid(long long H, long long W, long long h, long long w) { return 0 <= h && h < H && 0 <= w && w < W; } struct mint { long long x; mint(long long x = 0) : x((x % MOD + MOD) % MOD) {} mint &operator+=(const mint a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint &operator-=(const mint a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= MOD; return *this; } mint operator+(const mint a) const { mint res(*this); return res += a; } mint operator-(const mint a) const { mint res(*this); return res -= a; } mint operator*(const mint a) const { mint res(*this); return res *= a; } mint pow(long long t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } mint inv() const { return pow(MOD - 2); } mint &operator/=(const mint a) { return (*this) *= a.inv(); } mint operator/(const mint a) const { mint res(*this); return res /= a; } }; class combination { public: vector<mint> fact, ifact; combination(int n) : fact(n + 1), ifact(n + 1) { assert(n < MOD); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; if (COMBMAX < n) { mint ret = 1; for (long long i = 1; i <= k; i++) { ret *= (n - i + 1); ret /= i; } return ret; } return fact[n] * ifact[k] * ifact[n - k]; } mint multi(long long n, long long sum, long long l, long long r) { long long m = r - l + 1; long long t = sum - n * (l - 1); mint ans = 0; for (long long k = 0; k <= (t - n) / m; k++) { long long sign = k % 2 == 0 ? 1 : -1; mint temp = this->operator()(n, k); temp *= this->operator()(n + (t - n - m * k - 1), t - n - m * k); temp *= sign; ans += temp; } return ans; } } com(COMBMAX); int main() { ll K; cin >> K; string s; cin >> s; ll N = s.size(); mint ans = 0; rep(i, K + 1) { mint t = 0; t += mpow(26, i); t *= mpow(25, K - i); t *= com.multi(N, K - i, 0, INF); ans += t; } pt(ans.x); return 0; }
const int isDebugMode = 1; #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<long long, long long> P; struct edge { long long to, cost; }; const int inf = 1 << 27; const long long INF = 1LL << 60; const int COMBMAX = 3000000; const long long MOD = 1000000007; const long long dy[] = {-1, 0, 0, 1}; const long long dx[] = {0, -1, 1, 0}; string abc = "abcdefghijklmnopqrstuvwxyz"; #define rep(i, n) for (int i = 0; i < (n); ++i) #define eachdo(v, e) for (const auto &e : (v)) #define all(v) (v).begin(), (v).end() #define lower_index(v, e) \ (long long)distance((v).begin(), lower_bound((v).begin(), (v).end(), e)) #define upper_index(v, e) \ (long long)distance((v).begin(), upper_bound((v).begin(), (v).end(), e)) long long mpow(long long a, long long n, long long mod = MOD) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % mod; a = a * a % mod; n >>= 1; } return res; } void pt() { cout << endl; return; } template <class Head> void pt(Head &&head) { cout << head; pt(); return; } template <class Head, class... Tail> void pt(Head &&head, Tail &&...tail) { cout << head << " "; pt(forward<Tail>(tail)...); } void dpt() { if (!isDebugMode) return; cout << endl; return; } template <class Head> void dpt(Head &&head) { if (!isDebugMode) return; cout << head; pt(); return; } template <class Head, class... Tail> void dpt(Head &&head, Tail &&...tail) { if (!isDebugMode) return; cout << head << " "; pt(forward<Tail>(tail)...); } template <class T> void debug(T v) { if (!isDebugMode) return; rep(i, v.size()) cout << v[i] << " "; cout << endl; } template <class T> void debug2(T v) { if (!isDebugMode) return; rep(i, v.size()) { rep(j, v[i].size()) cout << v[i][j] << " "; cout << endl; } } template <class T1, class T2> inline bool chmin(T1 &a, T2 b) { if (a > b) { a = b; return true; } return false; } template <class T1, class T2> inline bool chmax(T1 &a, T2 b) { if (a < b) { a = b; return true; } return false; } template <class T1, class T2> long long gcd(T1 a, T2 b) { return a % b ? gcd(b, a % b) : b; } template <class T1, class T2> void reduce(T1 &a, T2 &b) { ll g = gcd(a, b); a /= g; b /= g; return; } bool valid(long long H, long long W, long long h, long long w) { return 0 <= h && h < H && 0 <= w && w < W; } struct mint { long long x; mint(long long x = 0) : x((x % MOD + MOD) % MOD) {} mint &operator+=(const mint a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint &operator-=(const mint a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= MOD; return *this; } mint operator+(const mint a) const { mint res(*this); return res += a; } mint operator-(const mint a) const { mint res(*this); return res -= a; } mint operator*(const mint a) const { mint res(*this); return res *= a; } mint pow(long long t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } mint inv() const { return pow(MOD - 2); } mint &operator/=(const mint a) { return (*this) *= a.inv(); } mint operator/(const mint a) const { mint res(*this); return res /= a; } }; class combination { public: vector<mint> fact, ifact; combination(int n) : fact(n + 1), ifact(n + 1) { assert(n < MOD); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; if (COMBMAX < n) { mint ret = 1; for (long long i = 1; i <= k; i++) { ret *= (n - i + 1); ret /= i; } return ret; } return fact[n] * ifact[k] * ifact[n - k]; } mint multi(long long n, long long sum, long long l, long long r) { long long m = r - l + 1; long long t = sum - n * (l - 1); mint ans = 0; for (long long k = 0; k <= (t - n) / m; k++) { long long sign = k % 2 == 0 ? 1 : -1; mint temp = this->operator()(n, k); temp *= this->operator()(n + (t - n - m * k - 1), t - n - m * k); temp *= sign; ans += temp; } return ans; } } com(COMBMAX); int main() { ll K; cin >> K; string s; cin >> s; ll N = s.size(); mint ans = 0; rep(i, K + 1) { mint t = 0; t += mpow(26, i); t *= mpow(25, K - i); t *= com.multi(N, K - i, 0, INF); ans += t; } pt(ans.x); return 0; }
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TLE
p02632
C++
Runtime Error
#include <bits/stdc++.h> #define rep(i, n) for (int i = 0; i < (n); ++i) using namespace std; using ll = long long; using P = pair<int, int>; const int MAX = 1000005; const ll MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } long long pow(long long a, long long b) { long long res = 1; while (b > 0) { if (b & 1) res = res * a % MOD; a = a * a % MOD; b >>= 1; } return res; } int main() { int k; string s; cin >> k >> s; int n = s.size(); ll ans = 0; COMinit(); rep(i, k + 1) { ll tmp = pow(25ll, (ll)i) * COM(i + n - 1, n - 1) % MOD; tmp *= pow(26ll, (ll)(k - i)); tmp %= MOD; ans += tmp; ans %= MOD; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> #define rep(i, n) for (int i = 0; i < (n); ++i) using namespace std; using ll = long long; using P = pair<int, int>; const int MAX = 2000005; const ll MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } long long COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } long long pow(long long a, long long b) { long long res = 1; while (b > 0) { if (b & 1) res = res * a % MOD; a = a * a % MOD; b >>= 1; } return res; } int main() { int k; string s; cin >> k >> s; int n = s.size(); ll ans = 0; COMinit(); rep(i, k + 1) { ll tmp = pow(25ll, (ll)i) * COM(i + n - 1, n - 1) % MOD; tmp *= pow(26ll, (ll)(k - i)); tmp %= MOD; ans += tmp; ans %= MOD; } cout << ans << endl; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define IOS \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define int long long int #define ld long double #define endl "\n" #define rep(i, a, b) for (int i = a; i < b; i++) #define reprev(i, a, b) for (int i = b - 1; i >= a; i--) #define all(c) c.begin(), c.end() #define sz(c) (int)c.size() #define ff first #define ss second #define pii pair<int, int> #define vi vector<int> #define vii vector<pii> #define vin(a, n) \ vi a(n); \ rep(i, 0, n) cin >> a[i]; #define vout(a) \ rep(i, 0, sz(a)) cout << a[i] << " "; \ cout << endl; #define pb push_back #define mp make_pair #define mod 1000000007 #define mod2 998244353 #define inf LLONG_MAX #define pi 3.1415926535897932384626 #define tr(container, it) \ for (auto it = container.begin(); it != container.end(); it++) int power(int x, unsigned int y, int p) { int res = 1; // Initialize result x = x % p; // Update x if it is more than or // equal to p if (x == 0) return 0; // In case x is divisible by p; while (y > 0) { // If y is odd, multiply x with result if (y & 1) res = (res * x) % p; // y must be even now y = y >> 1; // y = y/2 x = (x * x) % p; } return res; } int modInverse(int n, int p) { return power(n, p - 2, p); } const int N = 1000000; int fac[N + 1]; void precomp(int p) { fac[0] = 1; for (int i = 1; i <= N; i++) fac[i] = fac[i - 1] * i % p; } // Returns nCr % p using Fermat's little // theorem. int nCrModPFermat(int n, int r, int p) { // Base case if (r == 0) return 1; // Fill factorial array so that we // can find all factorial of r, n // and n-r return (fac[n] * modInverse(fac[r], p) % p * modInverse(fac[n - r], p) % p) % p; } signed main() { IOS precomp(mod); int k; cin >> k; string s; cin >> s; int n = s.length(); int final_ans = 0; rep(i, n, n + k + 1) { int ans = 1; int x1 = nCrModPFermat(i - 1, n - 1, mod); ans *= x1; ans %= mod; ans *= power(25, i - n, mod); ans %= mod; ans *= power(26, n + k - i, mod); ans %= mod; final_ans += ans; final_ans %= mod; } cout << final_ans; return 0; }
#include <bits/stdc++.h> using namespace std; #define IOS \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define int long long int #define ld long double #define endl "\n" #define rep(i, a, b) for (int i = a; i < b; i++) #define reprev(i, a, b) for (int i = b - 1; i >= a; i--) #define all(c) c.begin(), c.end() #define sz(c) (int)c.size() #define ff first #define ss second #define pii pair<int, int> #define vi vector<int> #define vii vector<pii> #define vin(a, n) \ vi a(n); \ rep(i, 0, n) cin >> a[i]; #define vout(a) \ rep(i, 0, sz(a)) cout << a[i] << " "; \ cout << endl; #define pb push_back #define mp make_pair #define mod 1000000007 #define mod2 998244353 #define inf LLONG_MAX #define pi 3.1415926535897932384626 #define tr(container, it) \ for (auto it = container.begin(); it != container.end(); it++) int power(int x, unsigned int y, int p) { int res = 1; // Initialize result x = x % p; // Update x if it is more than or // equal to p if (x == 0) return 0; // In case x is divisible by p; while (y > 0) { // If y is odd, multiply x with result if (y & 1) res = (res * x) % p; // y must be even now y = y >> 1; // y = y/2 x = (x * x) % p; } return res; } int modInverse(int n, int p) { return power(n, p - 2, p); } const int N = 2000000; int fac[N + 1]; void precomp(int p) { fac[0] = 1; for (int i = 1; i <= N; i++) fac[i] = fac[i - 1] * i % p; } // Returns nCr % p using Fermat's little // theorem. int nCrModPFermat(int n, int r, int p) { // Base case if (r == 0) return 1; // Fill factorial array so that we // can find all factorial of r, n // and n-r return (fac[n] * modInverse(fac[r], p) % p * modInverse(fac[n - r], p) % p) % p; } signed main() { IOS precomp(mod); int k; cin >> k; string s; cin >> s; int n = s.length(); int final_ans = 0; rep(i, n, n + k + 1) { int ans = 1; int x1 = nCrModPFermat(i - 1, n - 1, mod); ans *= x1; ans %= mod; ans *= power(25, i - n, mod); ans %= mod; ans *= power(26, n + k - i, mod); ans %= mod; final_ans += ans; final_ans %= mod; } cout << final_ans; return 0; }
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p02632
C++
Time Limit Exceeded
#pragma GCC optimize("O2") #pragma GCC target("avx2") // #include<bits/stdc++.h> #include <iostream> using namespace std; typedef long long ll; #define rep(i, n) for (int i = 0; i < (n); i++) #define rep1(i, n) for (int i = 1; i <= (n); i++) #define co(x) cout << (x) << "\n" #define cosp(x) cout << (x) << " " #define ce(x) cerr << (x) << "\n" #define cesp(x) cerr << (x) << " " #define pb push_back #define mp make_pair #define chmin(x, y) x = min(x, y) #define chmax(x, y) x = max(x, y) #define Would #define you #define please const int mod = 1e9 + 7; const int IMAX = 2000010; constexpr ll modpow(ll A, ll B) { ll kotae = 1; while (B > 0) { if (B & 1) kotae = kotae * A % mod; A = A * A % mod; B >>= 1; } return kotae; } class unko { public: int inv[IMAX + 1]; unko() : inv() { inv[0] = 1; inv[1] = 1; rep1(i, IMAX - 1) inv[i + 1] = ll(inv[i]) * i % mod; ll tmp = modpow(ll(inv[IMAX]) * IMAX % mod, mod - 2); for (int i = IMAX; i > 0; i--) { inv[i] = inv[i] * tmp % mod; tmp = tmp * i % mod; } } } f; int main() { cin.tie(0); ios::sync_with_stdio(false); int K; cin >> K; string S; cin >> S; int M = S.size(); const ll are = 423076927; ll tmp = modpow(26, K); ll kotae = 0; rep(i, K + 1) { ce(f.inv[i]); tmp = tmp * f.inv[i] % mod; kotae += tmp; tmp = tmp * (M + i) % mod; tmp = tmp * are % mod; } co(kotae % mod); Would you please return 0; }
#pragma GCC optimize("O2") #pragma GCC target("avx2") // #include<bits/stdc++.h> #include <iostream> using namespace std; typedef long long ll; #define rep(i, n) for (int i = 0; i < (n); i++) #define rep1(i, n) for (int i = 1; i <= (n); i++) #define co(x) cout << (x) << "\n" #define cosp(x) cout << (x) << " " #define ce(x) cerr << (x) << "\n" #define cesp(x) cerr << (x) << " " #define pb push_back #define mp make_pair #define chmin(x, y) x = min(x, y) #define chmax(x, y) x = max(x, y) #define Would #define you #define please const int mod = 1e9 + 7; const int IMAX = 2000010; constexpr ll modpow(ll A, ll B) { ll kotae = 1; while (B > 0) { if (B & 1) kotae = kotae * A % mod; A = A * A % mod; B >>= 1; } return kotae; } class unko { public: int inv[IMAX + 1]; unko() : inv() { inv[0] = 1; inv[1] = 1; rep1(i, IMAX - 1) inv[i + 1] = ll(inv[i]) * i % mod; ll tmp = modpow(ll(inv[IMAX]) * IMAX % mod, mod - 2); for (int i = IMAX; i > 0; i--) { inv[i] = inv[i] * tmp % mod; tmp = tmp * i % mod; } } } f; int main() { cin.tie(0); ios::sync_with_stdio(false); int K; cin >> K; string S; cin >> S; int M = S.size(); const ll are = 423076927; ll tmp = modpow(26, K); ll kotae = 0; rep(i, K + 1) { tmp = tmp * f.inv[i] % mod; kotae += tmp; tmp = tmp * (M + i) % mod; tmp = tmp * are % mod; } co(kotae % mod); Would you please return 0; }
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TLE
p02632
C++
Runtime Error
#include <bits/stdc++.h> // ver2.7.1 #define int long long #define endl "\n" // fflush(stdout); #define ALL(v) (v).begin(), (v).end() #define Vi vector<int> #define VVi vector<Vi> #define VVVi vector<VVi> #define Vm vector<mint> #define Vs vector<string> #define Vd vector<double> #define Vc vector<char> #define Pii pair<int, int> #define Pdd pair<double, double> #define VPii vector<Pii> #define Tiii tuple<int, int, int> #define VTiii vector<Tiii> #define PQi priority_queue<int> #define PQir priority_queue<int, vector<int>, greater<int>> #define pb push_back #define mp make_pair #define mt make_tuple #define itos to_string #define stoi stoll #define FI first #define SE second #define cYES cout << "YES" << endl #define cNO cout << "NO" << endl #define cYes cout << "Yes" << endl #define cNo cout << "No" << endl #define cyes cout << "yes" << endl #define cno cout << "no" << endl #define sortr(v) sort(v, greater<>()) #define rep(i, a, b) for (int i = a; i < b; i++) #define repeq(i, a, b) for (int i = a; i <= b; i++) #define repreq(i, a, b) for (int i = a; i >= b; i--) #define dem(a, b) ((a + b - 1) / (b)) #define INF 3000000000000000000 // 3.0*10^18 #define MAX LLONG_MAX #define PI acos(-1.0L) // int MOD = 998244353; // case const int MOD = 1000000007; // 10^9 + 7 const double EPS = 1e-10; using namespace std; struct mint { int x; mint(int x = 0) : x((x % MOD + MOD) % MOD) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint &operator-=(const mint a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= MOD; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(int t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } mint inv() const { return pow(MOD - 2); } mint &operator/=(const mint a) { return *this *= a.inv(); } mint operator/(const mint a) const { return mint(*this) /= a; } }; istream &operator>>(istream &is, const mint &a) { return is >> a.x; } ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } /* debug */ template <typename T> // vector ostream &operator<<(ostream &os, const vector<T> &V) { int N = V.size(); if (N == 0) { os << '.'; return os; } rep(i, 0, N - 1) { os << V[i] << ' '; } os << V[N - 1]; return os; } template <typename T> // vector vector ostream &operator<<(ostream &os, const vector<vector<T>> &V) { int N = V.size(); rep(i, 0, N - 1) cout << V[i] << endl; cout << V[N - 1]; return os; } template <typename T, typename S> // pair ostream &operator<<(ostream &os, pair<T, S> const &P) { os << P.FI << ' ' << P.SE; return os; } template <typename T> // set ostream &operator<<(ostream &os, set<T> &S) { auto it = S.begin(); while (it != S.end()) { os << *it; if (next(it, 1) != S.end()) os << ' '; it++; }; return os; } template <typename T> // deque ostream &operator<<(ostream &os, deque<T> &q) { for (auto it = q.begin(); it < q.end(); it++) { os << *it; if (it + 1 != q.end()) os << " "; } return os; } /* useful */ template <typename T> void Vin(vector<T> &v) { int n = v.size(); rep(i, 0, n) cin >> v[i]; } int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } int lcm(int a, int b) { return a / gcd(a, b) * b; } int mypow(int x, int n, int m) { if (n == 0) return 1; if (n % 2 == 0) return mypow(x * x % m, n / 2, m); else return x * mypow(x, n - 1, m) % m; } int scomb(int n, int r) { if (r < 0 || r > n) return 0; if ((n - r) < r) r = n - r; // nCr int a = 1; for (int i = n; i > n - r; --i) { a = a * i; } for (int i = 1; i < r + 1; ++i) { a = a / i; } return a; } Vi vis(Vi &v) { Vi S(v.size() + 1); rep(i, 1, S.size()) S[i] += v[i - 1] + S[i - 1]; return S; } int digitsum(int n) { int ret = 0; while (n > 0) { ret += n % 10; n /= 10; } return ret; } int digit(int k, int i) { string s = itos(k); return s[s.size() - i] - '0'; } // i桁目の数字 template <typename T> void press(T &v) { v.erase(unique(ALL(v)), v.end()); } // 圧縮 Vi zip(Vi b) { int Z = b.size(); // 座標圧縮 Pii p[Z + 10]; int a = b.size(); Vi l(a); for (int i = 0; i < a; i++) p[i] = mp(b[i], i); sort(p, p + a); int w = 0; for (int i = 0; i < a; i++) { if (i && p[i].first != p[i - 1].first) w++; l[p[i].second] = w; } return l; } Vi nibe2V() { Vi a(63); int q = 1; rep(i, 0, 63) { a[i] = q; q *= 2; } return a; } Vi nibe = nibe2V(); // 2^n int modiv(int a, int b) { return a * mypow(b, MOD - 2, MOD) % MOD; } // a÷b(%MOD) int SMALLER(Vi &a, int x) { return lower_bound(a.begin(), a.end(), x) - a.begin(); } int orSMALLER(Vi &a, int x) { return upper_bound(a.begin(), a.end(), x) - a.begin(); } int BIGGER(Vi &a, int x) { return a.size() - orSMALLER(a, x); } int orBIGGER(Vi &a, int x) { return a.size() - SMALLER(a, x); } int COUNT(Vi &a, int x) { return upper_bound(ALL(a), x) - lower_bound(ALL(a), x); } int maxind(Vi &a) { return max_element(ALL(a)) - a.begin(); } int minind(Vi &a) { return min_element(ALL(a)) - a.begin(); } Vi stpowV() { Vi a(300005); a[0] = 1; repeq(i, 1, 300004) a[i] = a[i - 1] * i % MOD; return a; } // Vi stpow = stpowV(); // 階乗配列(%MOD) /****************************** START ******************************/ const int MAX_N = 200005; struct combination { vector<mint> fact, ifact; combination(int n) : fact(n + 1), ifact(n + 1) { assert(n < MOD); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n] * ifact[k] * ifact[n - k]; } } comb(MAX_N); signed main() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(0); cout << fixed << setprecision(12); int k; cin >> k; string s; cin >> s; int n = s.size(); mint ans = 0; repeq(i, 0, k) { mint tmp = mypow(26, i, MOD); tmp *= mypow(25, k - i, MOD); tmp *= comb(n + k - i - 1, n - 1); ans += tmp; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> // ver2.7.1 #define int long long #define endl "\n" // fflush(stdout); #define ALL(v) (v).begin(), (v).end() #define Vi vector<int> #define VVi vector<Vi> #define VVVi vector<VVi> #define Vm vector<mint> #define Vs vector<string> #define Vd vector<double> #define Vc vector<char> #define Pii pair<int, int> #define Pdd pair<double, double> #define VPii vector<Pii> #define Tiii tuple<int, int, int> #define VTiii vector<Tiii> #define PQi priority_queue<int> #define PQir priority_queue<int, vector<int>, greater<int>> #define pb push_back #define mp make_pair #define mt make_tuple #define itos to_string #define stoi stoll #define FI first #define SE second #define cYES cout << "YES" << endl #define cNO cout << "NO" << endl #define cYes cout << "Yes" << endl #define cNo cout << "No" << endl #define cyes cout << "yes" << endl #define cno cout << "no" << endl #define sortr(v) sort(v, greater<>()) #define rep(i, a, b) for (int i = a; i < b; i++) #define repeq(i, a, b) for (int i = a; i <= b; i++) #define repreq(i, a, b) for (int i = a; i >= b; i--) #define dem(a, b) ((a + b - 1) / (b)) #define INF 3000000000000000000 // 3.0*10^18 #define MAX LLONG_MAX #define PI acos(-1.0L) // int MOD = 998244353; // case const int MOD = 1000000007; // 10^9 + 7 const double EPS = 1e-10; using namespace std; struct mint { int x; mint(int x = 0) : x((x % MOD + MOD) % MOD) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint &operator-=(const mint a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= MOD; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(int t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } mint inv() const { return pow(MOD - 2); } mint &operator/=(const mint a) { return *this *= a.inv(); } mint operator/(const mint a) const { return mint(*this) /= a; } }; istream &operator>>(istream &is, const mint &a) { return is >> a.x; } ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } /* debug */ template <typename T> // vector ostream &operator<<(ostream &os, const vector<T> &V) { int N = V.size(); if (N == 0) { os << '.'; return os; } rep(i, 0, N - 1) { os << V[i] << ' '; } os << V[N - 1]; return os; } template <typename T> // vector vector ostream &operator<<(ostream &os, const vector<vector<T>> &V) { int N = V.size(); rep(i, 0, N - 1) cout << V[i] << endl; cout << V[N - 1]; return os; } template <typename T, typename S> // pair ostream &operator<<(ostream &os, pair<T, S> const &P) { os << P.FI << ' ' << P.SE; return os; } template <typename T> // set ostream &operator<<(ostream &os, set<T> &S) { auto it = S.begin(); while (it != S.end()) { os << *it; if (next(it, 1) != S.end()) os << ' '; it++; }; return os; } template <typename T> // deque ostream &operator<<(ostream &os, deque<T> &q) { for (auto it = q.begin(); it < q.end(); it++) { os << *it; if (it + 1 != q.end()) os << " "; } return os; } /* useful */ template <typename T> void Vin(vector<T> &v) { int n = v.size(); rep(i, 0, n) cin >> v[i]; } int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } int lcm(int a, int b) { return a / gcd(a, b) * b; } int mypow(int x, int n, int m) { if (n == 0) return 1; if (n % 2 == 0) return mypow(x * x % m, n / 2, m); else return x * mypow(x, n - 1, m) % m; } int scomb(int n, int r) { if (r < 0 || r > n) return 0; if ((n - r) < r) r = n - r; // nCr int a = 1; for (int i = n; i > n - r; --i) { a = a * i; } for (int i = 1; i < r + 1; ++i) { a = a / i; } return a; } Vi vis(Vi &v) { Vi S(v.size() + 1); rep(i, 1, S.size()) S[i] += v[i - 1] + S[i - 1]; return S; } int digitsum(int n) { int ret = 0; while (n > 0) { ret += n % 10; n /= 10; } return ret; } int digit(int k, int i) { string s = itos(k); return s[s.size() - i] - '0'; } // i桁目の数字 template <typename T> void press(T &v) { v.erase(unique(ALL(v)), v.end()); } // 圧縮 Vi zip(Vi b) { int Z = b.size(); // 座標圧縮 Pii p[Z + 10]; int a = b.size(); Vi l(a); for (int i = 0; i < a; i++) p[i] = mp(b[i], i); sort(p, p + a); int w = 0; for (int i = 0; i < a; i++) { if (i && p[i].first != p[i - 1].first) w++; l[p[i].second] = w; } return l; } Vi nibe2V() { Vi a(63); int q = 1; rep(i, 0, 63) { a[i] = q; q *= 2; } return a; } Vi nibe = nibe2V(); // 2^n int modiv(int a, int b) { return a * mypow(b, MOD - 2, MOD) % MOD; } // a÷b(%MOD) int SMALLER(Vi &a, int x) { return lower_bound(a.begin(), a.end(), x) - a.begin(); } int orSMALLER(Vi &a, int x) { return upper_bound(a.begin(), a.end(), x) - a.begin(); } int BIGGER(Vi &a, int x) { return a.size() - orSMALLER(a, x); } int orBIGGER(Vi &a, int x) { return a.size() - SMALLER(a, x); } int COUNT(Vi &a, int x) { return upper_bound(ALL(a), x) - lower_bound(ALL(a), x); } int maxind(Vi &a) { return max_element(ALL(a)) - a.begin(); } int minind(Vi &a) { return min_element(ALL(a)) - a.begin(); } Vi stpowV() { Vi a(300005); a[0] = 1; repeq(i, 1, 300004) a[i] = a[i - 1] * i % MOD; return a; } // Vi stpow = stpowV(); // 階乗配列(%MOD) /****************************** START ******************************/ const int MAX_N = 2000005; struct combination { vector<mint> fact, ifact; combination(int n) : fact(n + 1), ifact(n + 1) { assert(n < MOD); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n] * ifact[k] * ifact[n - k]; } } comb(MAX_N); signed main() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(0); cout << fixed << setprecision(12); int k; cin >> k; string s; cin >> s; int n = s.size(); mint ans = 0; repeq(i, 0, k) { mint tmp = mypow(26, i, MOD); tmp *= mypow(25, k - i, MOD); tmp *= comb(n + k - i - 1, n - 1); ans += tmp; } cout << ans << endl; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define repl(i, l, r) for (ll i = (l); i < (r); i++) #define rep(i, n) repl(i, 0, n) using ll = long long; const ll MOD = 1000000007; const ll MAX = 1100000; ll fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; repl(i, 2, MAX) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } ll COM(int n, int k) { if (n < k) return 0; if (n < 0 or k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll modpow(ll a, ll n) { ll res = 1; while (n > 0) { if (n & 1) res = res * a % MOD; a = a * a % MOD; n >>= 1; } return res; } int main() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(false); COMinit(); int k; string s; cin >> k >> s; int n = s.size(); ll ans = 0; rep(i, k + 1) { ll p = COM(n + k - i - 1, n - 1) * modpow(25, k - i) % MOD * modpow(26, i) % MOD; ans = (ans + p) % MOD; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define repl(i, l, r) for (ll i = (l); i < (r); i++) #define rep(i, n) repl(i, 0, n) using ll = long long; const ll MOD = 1000000007; const ll MAX = 2100000; ll fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; repl(i, 2, MAX) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } ll COM(int n, int k) { if (n < k) return 0; if (n < 0 or k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll modpow(ll a, ll n) { ll res = 1; while (n > 0) { if (n & 1) res = res * a % MOD; a = a * a % MOD; n >>= 1; } return res; } int main() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(false); COMinit(); int k; string s; cin >> k >> s; int n = s.size(); ll ans = 0; rep(i, k + 1) { ll p = COM(n + k - i - 1, n - 1) * modpow(25, k - i) % MOD * modpow(26, i) % MOD; ans = (ans + p) % MOD; } cout << ans << endl; return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using ll = long long; #define N 1000001 // size of array const ll MOD = 1e9 + 7; ll fac[N], inv[N], finv[N]; void com_init() { fac[0] = 1; fac[1] = 1; finv[0] = 1; finv[1] = 1; inv[1] = 1; for (int i = 2; i < N; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } ll combination(int a, int b) { if (a < b) return 0; if (a < 0 || b < 0) return 0; return fac[a] * (finv[b] * finv[a - b] % MOD) % MOD; } int main() { int K; string S; cin >> K >> S; int n = S.size(); ll p = 1, ans = 0; com_init(); for (int i = 0; i < K; i++) { p *= 25; p %= MOD; } for (int i = 0; i <= K; i++) { ans += combination(n + K - i - 1, n - 1) * p % MOD; ans %= MOD; p *= 26; p %= MOD; p *= inv[25]; p %= MOD; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; #define N 2000000 // size of array const ll MOD = 1e9 + 7; ll fac[N], inv[N], finv[N]; void com_init() { fac[0] = 1; fac[1] = 1; finv[0] = 1; finv[1] = 1; inv[1] = 1; for (int i = 2; i < N; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } ll combination(int a, int b) { if (a < b) return 0; if (a < 0 || b < 0) return 0; return fac[a] * (finv[b] * finv[a - b] % MOD) % MOD; } int main() { int K; string S; cin >> K >> S; int n = S.size(); ll p = 1, ans = 0; com_init(); for (int i = 0; i < K; i++) { p *= 25; p %= MOD; } for (int i = 0; i <= K; i++) { ans += combination(n + K - i - 1, n - 1) * p % MOD; ans %= MOD; p *= 26; p %= MOD; p *= inv[25]; p %= MOD; } cout << ans << endl; return 0; }
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p02632
C++
Runtime Error
#include "bits/stdc++.h" using namespace std; #define rep(i, n) for (int(i) = 0; (i) < (n); (i)++) #define rep3(i, m, n) for (int(i) = m; (i) <= (n); (i)++) #define rep3rev(i, m, n) for (int(i) = m; (i) >= (n); (i)--) #define all(a) (a.begin()), (a.end()) #define rall(a) (a.rbegin()), (a.rend()) #define fi first #define se second #define pb push_back #define eb emplace_back using ll = long long; using vll = vector<ll>; using vi = vector<int>; using vvi = vector<vector<int>>; using P = pair<int, int>; /*** MOD CALCULATION ***/ const int MOD = 1e9 + 7; const int MAX = 510000; ll addM(ll a, ll b) { return (a + b) % MOD; } ll mulM(ll a, ll b) { ll temp = ((a % MOD) * (b % MOD)) % MOD; return temp; } ll powM(ll a, ll b) { if (b == 0) return 1; else if (b == 1) return a % MOD; else if (b % 2 == 0) return mulM(powM(a, b / 2), powM(a, b / 2)); else return mulM(a, mulM(powM(a, (b - 1) / 2), powM(a, (b - 1) / 2))); } // b^{-1} = b^{p-2} (mod p) // a/b = a*b^{p-2} (mod p) ll divM(ll a, ll b) { return mulM(a, powM(b, MOD - 2)); } // n!, (n!)^{-1} のテーブル作成 ll fac[MAX], finv[MAX], inv[MAX]; void COMBinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; rep3(i, 2, MAX - 1) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 ll COMB(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } /*** MOD CALCULATION ここまで ***/ void Main() { const int A = 26; int k; string s; cin >> k >> s; int n = s.size(); COMBinit(); ll tot = 0; rep3(last, n, n + k) { ll temp = COMB(last - 1, n - 1); temp = mulM(temp, powM(A - 1, last - n)); temp = mulM(temp, powM(A, n + k - last)); tot = addM(tot, temp); } cout << tot << endl; return; } int main() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(15); Main(); return 0; }
#include "bits/stdc++.h" using namespace std; #define rep(i, n) for (int(i) = 0; (i) < (n); (i)++) #define rep3(i, m, n) for (int(i) = m; (i) <= (n); (i)++) #define rep3rev(i, m, n) for (int(i) = m; (i) >= (n); (i)--) #define all(a) (a.begin()), (a.end()) #define rall(a) (a.rbegin()), (a.rend()) #define fi first #define se second #define pb push_back #define eb emplace_back using ll = long long; using vll = vector<ll>; using vi = vector<int>; using vvi = vector<vector<int>>; using P = pair<int, int>; /*** MOD CALCULATION ***/ const int MOD = 1e9 + 7; const int MAX = 2'000'005; ll addM(ll a, ll b) { return (a + b) % MOD; } ll mulM(ll a, ll b) { ll temp = ((a % MOD) * (b % MOD)) % MOD; return temp; } ll powM(ll a, ll b) { if (b == 0) return 1; else if (b == 1) return a % MOD; else if (b % 2 == 0) return mulM(powM(a, b / 2), powM(a, b / 2)); else return mulM(a, mulM(powM(a, (b - 1) / 2), powM(a, (b - 1) / 2))); } // b^{-1} = b^{p-2} (mod p) // a/b = a*b^{p-2} (mod p) ll divM(ll a, ll b) { return mulM(a, powM(b, MOD - 2)); } // n!, (n!)^{-1} のテーブル作成 ll fac[MAX], finv[MAX], inv[MAX]; void COMBinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; rep3(i, 2, MAX - 1) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 ll COMB(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } /*** MOD CALCULATION ここまで ***/ void Main() { const int A = 26; int k; string s; cin >> k >> s; int n = s.size(); COMBinit(); ll tot = 0; rep3(last, n, n + k) { ll temp = COMB(last - 1, n - 1); temp = mulM(temp, powM(A - 1, last - n)); temp = mulM(temp, powM(A, n + k - last)); tot = addM(tot, temp); } cout << tot << endl; return; } int main() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(15); Main(); return 0; }
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p02632
C++
Runtime Error
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,sse4.1,sse4.2,popcnt,abm,mmx,avx") // #pragma comment(linker, "/stack:200000000"] #include <algorithm> #include <bitset> #include <chrono> #include <cmath> #include <deque> #include <fstream> #include <iostream> #include <map> #include <queue> #include <random> #include <set> #include <sstream> #include <stack> #include <unordered_map> #include <unordered_set> #include <vector> #define fi first #define se second #define pb push_back #define ll long long #define ld long double #define hm unordered_map #define pii pair<int, int> #define sz(a) (int)a.size() #define all(a) a.begin(), a.end() #define cinv(v) \ for (auto &x : v) \ cin >> x #define fr(i, n) for (int i = 0; i < n; ++i) #define fl(i, l, n) for (int i = l; i < n; ++i) #define int ll using namespace std; #ifdef __LOCAL #define dbg(x) cerr << #x << " : " << x << '\n' const int maxn = 20; #else #define dbg(x) const int maxn = 1e6 + 20; #endif // tg: @galebickosikasa const ll inf = (ll)2e9; const ld pi = asin(1) * 2; const ld eps = 1e-8; const ll mod = (ll)1e9 + 7; const ll ns = 97; mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count()); ll mult(ll a, ll b) { return a * b % mod; } ll add(ll a, ll b) { int c = a + b; if (c >= mod) c -= mod; return c; } ll powmod(ll a, ll n) { if (n == 0) return 1; if (n % 2) return mult(a, powmod(a, n - 1)); ll b = powmod(a, n / 2); return mult(b, b); } ll inv(int a) { return powmod(a, mod - 2); } int f[maxn], rev[maxn]; int C(int n, int k) { return mult(f[n], mult(rev[k], rev[n - k])); } signed main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); f[0] = rev[0] = 1; fl(i, 1, maxn) { f[i] = mult(f[i - 1], i); rev[i] = inv(f[i]); } int k; string s; cin >> k >> s; int n = sz(s); int ans = 0; fl(i, n, k + n + 1) { ans = add(ans, mult(C(k + n, i), powmod(25, k + n - i))); // dbg (C (k + n, i)); // dbg (powmod (25, k + n - i)); // dbg (ans); } cout << ans << '\n'; }
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,sse4.1,sse4.2,popcnt,abm,mmx,avx") // #pragma comment(linker, "/stack:200000000"] #include <algorithm> #include <bitset> #include <chrono> #include <cmath> #include <deque> #include <fstream> #include <iostream> #include <map> #include <queue> #include <random> #include <set> #include <sstream> #include <stack> #include <unordered_map> #include <unordered_set> #include <vector> #define fi first #define se second #define pb push_back #define ll long long #define ld long double #define hm unordered_map #define pii pair<int, int> #define sz(a) (int)a.size() #define all(a) a.begin(), a.end() #define cinv(v) \ for (auto &x : v) \ cin >> x #define fr(i, n) for (int i = 0; i < n; ++i) #define fl(i, l, n) for (int i = l; i < n; ++i) #define int ll using namespace std; #ifdef __LOCAL #define dbg(x) cerr << #x << " : " << x << '\n' const int maxn = 20; #else #define dbg(x) const int maxn = 2e6 + 20; #endif // tg: @galebickosikasa const ll inf = (ll)2e9; const ld pi = asin(1) * 2; const ld eps = 1e-8; const ll mod = (ll)1e9 + 7; const ll ns = 97; mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count()); ll mult(ll a, ll b) { return a * b % mod; } ll add(ll a, ll b) { int c = a + b; if (c >= mod) c -= mod; return c; } ll powmod(ll a, ll n) { if (n == 0) return 1; if (n % 2) return mult(a, powmod(a, n - 1)); ll b = powmod(a, n / 2); return mult(b, b); } ll inv(int a) { return powmod(a, mod - 2); } int f[maxn], rev[maxn]; int C(int n, int k) { return mult(f[n], mult(rev[k], rev[n - k])); } signed main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); f[0] = rev[0] = 1; fl(i, 1, maxn) { f[i] = mult(f[i - 1], i); rev[i] = inv(f[i]); } int k; string s; cin >> k >> s; int n = sz(s); int ans = 0; fl(i, n, k + n + 1) { ans = add(ans, mult(C(k + n, i), powmod(25, k + n - i))); // dbg (C (k + n, i)); // dbg (powmod (25, k + n - i)); // dbg (ans); } cout << ans << '\n'; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; void fst() { ios::sync_with_stdio(0); cin.tie(0); #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); #endif } int nxt() { int x; cin >> x; return x; } int nex_l() { long long x; cin >> x; return x; } typedef long long ll; typedef vector<int> vi; typedef vector<bool> vb; typedef vector<vi> vvi; typedef vector<vb> vvb; typedef vector<ll> vl; typedef vector<vl> vvl; typedef pair<int, int> pii; typedef vector<pair<int, int>> vpii; #define fr first #define sc second #define mp make_pair #define pb push_back #define all(v) v.begin(), v.end() #define binary(n) cout << bitset<31>(n) << "\n"; #define FOR(i, n) for (int i = 0; i < n; i++) #define rep(i, a, b) for (int i = a; i < b; i++) #define input_arr(a, n) \ for (int i = 0; i < n; i++) \ cin >> a[i]; #define print_arr(a, n) \ for (int i = 0; i < n; i++) \ cout << a[i] << " "; #define deb(n) cerr << #n << "=" << n << "\n"; const int MS = 1e6 + 5, mod = 1e9 + 7; ll fact[MS]; void cal_fact() { fact[0] = 1; for (int i = 1; i < MS; i++) { fact[i] = i * fact[i - 1]; fact[i] %= mod; } } ll binpow(ll val, ll deg, ll mod) { if (!deg) return 1 % mod; if (deg & 1) return binpow(val, deg - 1, mod) * val % mod; ll res = binpow(val, deg >> 1, mod); return (res * res) % mod; } ll cal_c(ll n, ll i) { ll res = fact[n]; ll div = fact[n - i] * fact[i]; div %= mod; // using fermat little theorum div = binpow(div, mod - 2, mod); return (res * div) % mod; } int main() { cal_fact(); ll n, k; cin >> k; string s; cin >> s; n = s.size(); ll ans = 0; for (int i = n; i <= n + k; i++) { ans += cal_c(n + k, i) * binpow(25, n + k - i, mod); ans %= mod; } cout << ans << "\n"; }
#include <bits/stdc++.h> using namespace std; void fst() { ios::sync_with_stdio(0); cin.tie(0); #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); #endif } int nxt() { int x; cin >> x; return x; } int nex_l() { long long x; cin >> x; return x; } typedef long long ll; typedef vector<int> vi; typedef vector<bool> vb; typedef vector<vi> vvi; typedef vector<vb> vvb; typedef vector<ll> vl; typedef vector<vl> vvl; typedef pair<int, int> pii; typedef vector<pair<int, int>> vpii; #define fr first #define sc second #define mp make_pair #define pb push_back #define all(v) v.begin(), v.end() #define binary(n) cout << bitset<31>(n) << "\n"; #define FOR(i, n) for (int i = 0; i < n; i++) #define rep(i, a, b) for (int i = a; i < b; i++) #define input_arr(a, n) \ for (int i = 0; i < n; i++) \ cin >> a[i]; #define print_arr(a, n) \ for (int i = 0; i < n; i++) \ cout << a[i] << " "; #define deb(n) cerr << #n << "=" << n << "\n"; const int MS = 2e6 + 5, mod = 1e9 + 7; ll fact[MS]; void cal_fact() { fact[0] = 1; for (int i = 1; i < MS; i++) { fact[i] = i * fact[i - 1]; fact[i] %= mod; } } ll binpow(ll val, ll deg, ll mod) { if (!deg) return 1 % mod; if (deg & 1) return binpow(val, deg - 1, mod) * val % mod; ll res = binpow(val, deg >> 1, mod); return (res * res) % mod; } ll cal_c(ll n, ll i) { ll res = fact[n]; ll div = fact[n - i] * fact[i]; div %= mod; // using fermat little theorum div = binpow(div, mod - 2, mod); return (res * div) % mod; } int main() { cal_fact(); ll n, k; cin >> k; string s; cin >> s; n = s.size(); ll ans = 0; for (int i = n; i <= n + k; i++) { ans += cal_c(n + k, i) * binpow(25, n + k - i, mod); ans %= mod; } cout << ans << "\n"; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> const int64_t MOD = 1000000007; int64_t ff[1000006]; int64_t fact(int n) { if (n == 0) return 1; if (n == 1) return 1; if (ff[n] != 0) return ff[n]; ff[n] = (fact(n - 1) * n) % MOD; return ff[n] % MOD; } int64_t pm(int64_t a, int64_t b) { if (b == 0) return 1; if (b == 1) return a % MOD; int64_t v = pm(a, b / 2) % MOD; v = v * v % MOD; if (b % 2) { return v * a % MOD; } return v; } int main() { int64_t ans = 0; int N; int K; std::cin >> K; std::string s; std::cin >> s; N = s.size(); int64_t st = N + K; for (; st >= N; --st) { int64_t v = pm(26, N + K - st) * pm(25, st - N) % MOD; v = v * fact(st - 1) % MOD; v = v * pm(fact(st - N), MOD - 2) % MOD; v = v * pm(fact(N - 1), MOD - 2) % MOD; ans += v; ans = ans % MOD; } printf("%lld\n", ans % MOD); }
#include <bits/stdc++.h> const int64_t MOD = 1000000007; int64_t ff[2000006]; int64_t fact(int n) { if (n == 0) return 1; if (n == 1) return 1; if (ff[n] != 0) return ff[n]; ff[n] = (fact(n - 1) * n) % MOD; return ff[n] % MOD; } int64_t pm(int64_t a, int64_t b) { if (b == 0) return 1; if (b == 1) return a % MOD; int64_t v = pm(a, b / 2) % MOD; v = v * v % MOD; if (b % 2) { return v * a % MOD; } return v; } int main() { int64_t ans = 0; int N; int K; std::cin >> K; std::string s; std::cin >> s; N = s.size(); int64_t st = N + K; for (; st >= N; --st) { int64_t v = pm(26, N + K - st) * pm(25, st - N) % MOD; v = v * fact(st - 1) % MOD; v = v * pm(fact(st - N), MOD - 2) % MOD; v = v * pm(fact(N - 1), MOD - 2) % MOD; ans += v; ans = ans % MOD; } printf("%lld\n", ans % MOD); }
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0
p02632
C++
Runtime Error
#include <algorithm> #include <cstdio> #include <iostream> using namespace std; typedef long long ll; const int mod = 1e9 + 7; const int N = 1e6 + 10; int fact[N], infact[N]; int qmi(int a, int b) { int res = 1; while (b) { if (b & 1) res = (ll)res * a % mod; a = (ll)a * a % mod; b >>= 1; } return res; } void init() { fact[0] = 1, infact[0] = 1; for (int i = 1; i < N; ++i) { fact[i] = (ll)fact[i - 1] * i % mod; infact[i] = (ll)infact[i - 1] * qmi(i, mod - 2) % mod; } } ll C(int a, int b) { return (ll)fact[a] * infact[b] % mod * (ll)infact[a - b] % mod; } int main() { int k; string s; cin >> k >> s; int len = s.length(); int n = k + len; init(); // 预处理阶乘 ll ans = 0; for (int i = len; i <= n; i++) { ll t = C(i - 1, len - 1) * qmi(25, i - len) % mod * (ll)qmi(26, n - i) % mod; ans = (ans % mod + t % mod) % mod; } cout << ans << endl; return 0; }
#include <algorithm> #include <cstdio> #include <iostream> using namespace std; typedef long long ll; const int mod = 1e9 + 7; const int N = 2e6 + 10; int fact[N], infact[N]; int qmi(int a, int b) { int res = 1; while (b) { if (b & 1) res = (ll)res * a % mod; a = (ll)a * a % mod; b >>= 1; } return res; } void init() { fact[0] = 1, infact[0] = 1; for (int i = 1; i < N; ++i) { fact[i] = (ll)fact[i - 1] * i % mod; infact[i] = (ll)infact[i - 1] * qmi(i, mod - 2) % mod; } } ll C(int a, int b) { return (ll)fact[a] * infact[b] % mod * (ll)infact[a - b] % mod; } int main() { int k; string s; cin >> k >> s; int len = s.length(); int n = k + len; init(); // 预处理阶乘 ll ans = 0; for (int i = len; i <= n; i++) { ll t = C(i - 1, len - 1) * qmi(25, i - len) % mod * (ll)qmi(26, n - i) % mod; ans = (ans % mod + t % mod) % mod; } cout << ans << endl; return 0; }
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0
p02632
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 fi first #define se second #define mp make_pair #define pb push_back #define fbo find_by_order #define ook order_of_key typedef long long ll; typedef pair<ll, ll> ii; typedef vector<int> vi; typedef long double ld; typedef tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> pbds; vector<int> fact; vector<int> ifact; vector<int> inv; vector<int> pow2; const int MOD = (1e9 + 7); int add(int a, int b) { a += b; while (a >= MOD) a -= MOD; return a; } void radd(int &a, int b) { a = add(a, b); } int mult(int a, int b) { return (a * 1LL * b) % MOD; } void rmult(int &a, int b) { a = mult(a, b); } int modpow(int a, int b) { int r = 1; while (b) { if (b & 1) r = mult(r, a); a = mult(a, a); b >>= 1; } return r; } int choose(int a, int b) { if (a < b) return 0; if (b == 0) return 1; if (a == b) return 1; return mult(fact[a], mult(ifact[b], ifact[a - b])); } int inverse(int a) { return modpow(a, MOD - 2); } void init(int _n) { fact.clear(); ifact.clear(); inv.clear(); pow2.clear(); fact.resize(_n + 1); ifact.resize(_n + 1); inv.resize(_n + 1); pow2.resize(_n + 1); pow2[0] = 1; ifact[0] = 1; fact[0] = 1; for (int i = 1; i <= _n; i++) { pow2[i] = add(pow2[i - 1], pow2[i - 1]); fact[i] = mult(fact[i - 1], i); // ifact[i]=mult(ifact[i-1],inv[i]); } ifact[_n] = inverse(fact[_n]); for (int i = _n - 1; i >= 1; i--) { ifact[i] = mult(ifact[i + 1], i + 1); } for (int i = 1; i <= _n; i++) { inv[i] = mult(fact[i - 1], ifact[i]); } } int pw[1111111]; int pw3[1111111]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); init(1222222); int k; cin >> k; string s; cin >> s; int n = s.length(); pw[0] = 1; pw3[0] = 1; for (int i = 1; i <= 1001111; i++) pw[i] = mult(pw[i - 1], 25); int ans = 0; for (int i = 1; i <= 1001111; i++) pw3[i] = mult(pw3[i - 1], 26); for (int i = 0; i <= k; i++) { radd(ans, mult(pw3[i], mult(pw[k - i], choose(k - i + n - 1, n - 1)))); } // int ans = mult(pw,choose(k+n,n)); cout << ans << '\n'; }
#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 fi first #define se second #define mp make_pair #define pb push_back #define fbo find_by_order #define ook order_of_key typedef long long ll; typedef pair<ll, ll> ii; typedef vector<int> vi; typedef long double ld; typedef tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> pbds; vector<int> fact; vector<int> ifact; vector<int> inv; vector<int> pow2; const int MOD = (1e9 + 7); int add(int a, int b) { a += b; while (a >= MOD) a -= MOD; return a; } void radd(int &a, int b) { a = add(a, b); } int mult(int a, int b) { return (a * 1LL * b) % MOD; } void rmult(int &a, int b) { a = mult(a, b); } int modpow(int a, int b) { int r = 1; while (b) { if (b & 1) r = mult(r, a); a = mult(a, a); b >>= 1; } return r; } int choose(int a, int b) { if (a < b) return 0; if (b == 0) return 1; if (a == b) return 1; return mult(fact[a], mult(ifact[b], ifact[a - b])); } int inverse(int a) { return modpow(a, MOD - 2); } void init(int _n) { fact.clear(); ifact.clear(); inv.clear(); pow2.clear(); fact.resize(_n + 1); ifact.resize(_n + 1); inv.resize(_n + 1); pow2.resize(_n + 1); pow2[0] = 1; ifact[0] = 1; fact[0] = 1; for (int i = 1; i <= _n; i++) { pow2[i] = add(pow2[i - 1], pow2[i - 1]); fact[i] = mult(fact[i - 1], i); // ifact[i]=mult(ifact[i-1],inv[i]); } ifact[_n] = inverse(fact[_n]); for (int i = _n - 1; i >= 1; i--) { ifact[i] = mult(ifact[i + 1], i + 1); } for (int i = 1; i <= _n; i++) { inv[i] = mult(fact[i - 1], ifact[i]); } } int pw[1111111]; int pw3[1111111]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); init(2222222); int k; cin >> k; string s; cin >> s; int n = s.length(); pw[0] = 1; pw3[0] = 1; for (int i = 1; i <= 1001111; i++) pw[i] = mult(pw[i - 1], 25); int ans = 0; for (int i = 1; i <= 1001111; i++) pw3[i] = mult(pw3[i - 1], 26); for (int i = 0; i <= k; i++) { radd(ans, mult(pw3[i], mult(pw[k - i], choose(k - i + n - 1, n - 1)))); } // int ans = mult(pw,choose(k+n,n)); cout << ans << '\n'; }
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p02632
C++
Runtime Error
#include <algorithm> #include <assert.h> #include <bitset> #include <deque> #include <functional> #include <iomanip> #include <iostream> #include <iterator> #include <limits> #include <list> #include <map> #include <math.h> #include <numeric> #include <queue> #include <set> #include <sstream> #include <stack> #include <stdio.h> #include <stdlib.h> #include <string.h> #include <string> #include <time.h> #include <utility> #include <vector> #define debug(x) cout << #x << " = " << x << endl #define fori(i, ini, lim) for (int i = int(ini); i < int(lim); i++) #define ford(i, ini, lim) for (int i = int(ini); i >= int(lim); i--) using namespace std; typedef long long ll; typedef long double ld; typedef pair<int, int> ii; const int MAX = 1e6 + 6; const int MOD = 1e9 + 7; int fat[MAX]; inline int add(int a, int b) { a += b; if (a >= MOD) a -= MOD; return a; } inline int sub(int a, int b) { a -= b; if (0 > a) a += MOD; return a; } inline int mult(int a, int b) { return (1LL * a * b) % MOD; } int f_exp(int x, int e) { if (e <= 0) return 1; if (e & 1) return mult(x, f_exp(x, e - 1)); return f_exp(mult(x, x), e / 2); } inline int inv(int x) { return f_exp(x, MOD - 2); } inline int comb(int n, int k) { if (k > n) return 0; return mult(fat[n], mult(inv(fat[n - k]), inv(fat[k]))); } void preprocess() { fat[0] = 1; fori(i, 1, MAX) { fat[i] = mult(fat[i - 1], i); } } void solve() { preprocess(); int k; cin >> k; string s; cin >> s; int n = s.size(); int t = n + k; int ans = 0; fori(i, n, t + 1) { int b = i - 1; int c = comb(b, n - 1); int f = t - i; int p = mult(f_exp(26, f), f_exp(25, t - f - n)); ans = add(ans, mult(c, p)); } cout << ans << endl; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); solve(); return 0; }
#include <algorithm> #include <assert.h> #include <bitset> #include <deque> #include <functional> #include <iomanip> #include <iostream> #include <iterator> #include <limits> #include <list> #include <map> #include <math.h> #include <numeric> #include <queue> #include <set> #include <sstream> #include <stack> #include <stdio.h> #include <stdlib.h> #include <string.h> #include <string> #include <time.h> #include <utility> #include <vector> #define debug(x) cout << #x << " = " << x << endl #define fori(i, ini, lim) for (int i = int(ini); i < int(lim); i++) #define ford(i, ini, lim) for (int i = int(ini); i >= int(lim); i--) using namespace std; typedef long long ll; typedef long double ld; typedef pair<int, int> ii; const int MAX = 3e6 + 6; const int MOD = 1e9 + 7; int fat[MAX]; inline int add(int a, int b) { a += b; if (a >= MOD) a -= MOD; return a; } inline int sub(int a, int b) { a -= b; if (0 > a) a += MOD; return a; } inline int mult(int a, int b) { return (1LL * a * b) % MOD; } int f_exp(int x, int e) { if (e <= 0) return 1; if (e & 1) return mult(x, f_exp(x, e - 1)); return f_exp(mult(x, x), e / 2); } inline int inv(int x) { return f_exp(x, MOD - 2); } inline int comb(int n, int k) { if (k > n) return 0; return mult(fat[n], mult(inv(fat[n - k]), inv(fat[k]))); } void preprocess() { fat[0] = 1; fori(i, 1, MAX) { fat[i] = mult(fat[i - 1], i); } } void solve() { preprocess(); int k; cin >> k; string s; cin >> s; int n = s.size(); int t = n + k; int ans = 0; fori(i, n, t + 1) { int b = i - 1; int c = comb(b, n - 1); int f = t - i; int p = mult(f_exp(26, f), f_exp(25, t - f - n)); ans = add(ans, mult(c, p)); } cout << ans << endl; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); solve(); return 0; }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef vector<ll> vll; typedef vector<vll> vvll; typedef pair<ll, ll> P; typedef vector<P> vp; typedef vector<string> vs; typedef vector<bool> vb; const ll mod = 1e9 + 7; const ll inf = 1e16; #define rep(i, m, n) for (ll i = m; i < n; i++) #define repr(i, m, n) for (ll i = m - 1; i >= n; i--) #define fi first #define se second #define chmax(x, y) x = max(x, y) #define chmin(x, y) x = min(x, y) #define eb(x) emplace_back(x) #define all(x) x.begin(), x.end() #define gll greater<ll>() const ll nmax = 1000000; ll fac[nmax], finv[nmax], inv[nmax]; void comint() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (ll i = 2; i < nmax; i++) { fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod % i] * (mod / i) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } ll com(ll n, ll k) { if (n < k || n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } ll mod_pow(ll x, ll n) { ll res = 1; while (n > 0) { if (n & 1) res = res * x % mod; x = x * x % mod; n >>= 1; } return res; } void solve() { ll k; string s; cin >> k >> s; ll n = s.size(); comint(); ll ans = 0; repr(i, n + k, n - 1) { ll r = n + k - 1 - i; ll tot = mod_pow(26, r) * mod_pow(25, k - r); tot %= mod; tot *= com(n + k - r - 1, n - 1); tot %= mod; ans += tot; ans %= mod; } cout << ans << endl; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); solve(); }
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef vector<ll> vll; typedef vector<vll> vvll; typedef pair<ll, ll> P; typedef vector<P> vp; typedef vector<string> vs; typedef vector<bool> vb; const ll mod = 1e9 + 7; const ll inf = 1e16; #define rep(i, m, n) for (ll i = m; i < n; i++) #define repr(i, m, n) for (ll i = m - 1; i >= n; i--) #define fi first #define se second #define chmax(x, y) x = max(x, y) #define chmin(x, y) x = min(x, y) #define eb(x) emplace_back(x) #define all(x) x.begin(), x.end() #define gll greater<ll>() const ll nmax = 2000005; ll fac[nmax], finv[nmax], inv[nmax]; void comint() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (ll i = 2; i < nmax; i++) { fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod % i] * (mod / i) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } ll com(ll n, ll k) { if (n < k || n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } ll mod_pow(ll x, ll n) { ll res = 1; while (n > 0) { if (n & 1) res = res * x % mod; x = x * x % mod; n >>= 1; } return res; } void solve() { ll k; string s; cin >> k >> s; ll n = s.size(); comint(); ll ans = 0; repr(i, n + k, n - 1) { ll r = n + k - 1 - i; ll tot = mod_pow(26, r) * mod_pow(25, k - r); tot %= mod; tot *= com(n + k - r - 1, n - 1); tot %= mod; ans += tot; ans %= mod; } cout << ans << endl; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); solve(); }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using ll = long long; const int N = 1e6 + 5; const ll mod = 1e9 + 7; int k, n; string s; ll f[N], inv[N]; ll pw(ll x, ll i) { ll b = 1; for (; i; i >>= 1, x = x * x % mod) if (i & 1) b = b * x % mod; return b; } ll ckn(int n, int k) { return f[n] * inv[k] % mod * inv[n - k] % mod; } signed main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> k >> s; n = s.size(); s = ' ' + s; ll ans = 0; f[0] = 1; for (int i = 1; i <= n + k; ++i) f[i] = f[i - 1] * i % mod; inv[n + k] = pw(f[n + k], mod - 2); for (int i = n + k; i >= 1; --i) inv[i - 1] = inv[i] * i % mod; for (int i = 0; i <= k; ++i) { ll tmp = pw(25, k - i) * pw(26, i) % mod * ckn(k - i + n - 1, n - 1) % mod; ans = (ans + tmp) % mod; } cout << ans << '\n'; }
#include <bits/stdc++.h> using namespace std; using ll = long long; const int N = 2e6 + 5; const ll mod = 1e9 + 7; int k, n; string s; ll f[N], inv[N]; ll pw(ll x, ll i) { ll b = 1; for (; i; i >>= 1, x = x * x % mod) if (i & 1) b = b * x % mod; return b; } ll ckn(int n, int k) { return f[n] * inv[k] % mod * inv[n - k] % mod; } signed main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> k >> s; n = s.size(); s = ' ' + s; ll ans = 0; f[0] = 1; for (int i = 1; i <= n + k; ++i) f[i] = f[i - 1] * i % mod; inv[n + k] = pw(f[n + k], mod - 2); for (int i = n + k; i >= 1; --i) inv[i - 1] = inv[i] * i % mod; for (int i = 0; i <= k; ++i) { ll tmp = pw(25, k - i) * pw(26, i) % mod * ckn(k - i + n - 1, n - 1) % mod; ans = (ans + tmp) % mod; } cout << ans << '\n'; }
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p02632
C++
Runtime Error
// #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<int, int> pint; typedef pair<ll, ll> pll; typedef pair<int, pint> ppint; typedef pair<ll, pll> ppll; typedef vector<int> vint; typedef vector<ll> vll; const double pi = M_PI; const int INF10 = 1000000001; const ll INF15 = 1e15 + 1; const long long INF18 = 1e18 + 1; const int mod = 1000000007; // const int mod = 998244353; const double EPS = 0.00001; #define rep(i, n) for (int i = 0; i < (ll)(n); i++) #define rep1(i, n) for (int i = 1; i <= (ll)(n); i++) #define rep2(i, start, end) for (int i = (ll)start; i <= (ll)end; i++) #define vrep(i, n) for (int i = (ll)n - 1; i >= 0; i--) #define vrep1(i, n) for (int i = (ll)n; i > 0; i--) #define all(n) n.begin(), n.end() #define pb push_back #define debug(x) cerr << #x << ": " << x << '\n' struct edge { edge(int i, long c = 1) { to = i; cost = c; } int to; long cost; }; typedef vector<edge> vedge; // bを何回足せばaを超えるか(O(a/b)) // a+b-1/bとすればよし // 2進数表示したときの最高桁(O(log n)) int bi_max(long n) { int m = 0; for (m; (1 << m) <= n; m++) ; m = m - 1; return m; } // bi_eに二進数表示したやつを代入(O(log^2 n)) // bitset<N> // a(n)でnの二進数表示が得られて、a[i]=0or1でi番目のfragが立ってるかわかる x^n // mod m (nが負の時は0)(O(log n)) long myPow(long x, long n, long m = mod) { if (n < 0) return 0; if (n == 0) return 1; if (n % 2 == 0) return myPow(x * x % m, n / 2, m); else return x * myPow(x, n - 1, m) % m; } // auto mod int // https://youtu.be/L8grWxBlIZ4?t=9858 // https://youtu.be/ERZuLAxZffQ?t=4807 : optimize // https://youtu.be/8uowVvQ_-Mo?t=1329 : division struct mint { ll x; // typedef long long ll; mint(ll x = 0) : x((x % mod + mod) % mod) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint &operator-=(const mint a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod - 2); } mint &operator/=(const mint a) { return *this *= a.inv(); } mint operator/(const mint a) const { return mint(*this) /= a; } bool operator!=(const int a) { return this->x != a; } bool operator==(const int a) { return this->x == a; } }; istream &operator>>(istream &is, const mint &a) { return is >> a.x; } ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } // combination mod prime // https://www.youtube.com/watch?v=8uowVvQ_-Mo&feature=youtu.be&t=1619 struct combination { vector<mint> fact, ifact; combination(int n) : fact(n + 1), ifact(n + 1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n] * ifact[k] * ifact[n - k]; } }; template <class T> bool maxin(T &a, T b) { if (a < b) { a = b; return 1; } return 0; } template <class T> bool minin(T &a, T b) { if (a > b) { a = b; return 1; } return 0; } template <class M, class N> constexpr common_type_t<M, N> gcd(M a, N b) { a = abs(a); b = abs(b); if (a < b) return gcd(b, a); M r; while ((r = a % b)) { a = b; b = r; } return b; } template <class M, class N> constexpr common_type_t<M, N> lcm(M a, N b) { return a * b / gcd(a, b); } const int N_MAX = 100005; int k; string s; void Main() { int x = 0, y = INF10, z = 1; // 入力 cin >> k; cin >> s; // 処理 int n = s.size(); mint ans; combination c(2 * N_MAX); rep2(i, n - 1, n + k - 1) { ans += mint(25).pow(i + 1 - n) * mint(26).pow(n + k - i - 1) * c(i, n - 1); } // 出力 cout << ans << endl; } int main() { cin.tie(nullptr); cout << fixed << setprecision(12); Main(); }
// #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<int, int> pint; typedef pair<ll, ll> pll; typedef pair<int, pint> ppint; typedef pair<ll, pll> ppll; typedef vector<int> vint; typedef vector<ll> vll; const double pi = M_PI; const int INF10 = 1000000001; const ll INF15 = 1e15 + 1; const long long INF18 = 1e18 + 1; const int mod = 1000000007; // const int mod = 998244353; const double EPS = 0.00001; #define rep(i, n) for (int i = 0; i < (ll)(n); i++) #define rep1(i, n) for (int i = 1; i <= (ll)(n); i++) #define rep2(i, start, end) for (int i = (ll)start; i <= (ll)end; i++) #define vrep(i, n) for (int i = (ll)n - 1; i >= 0; i--) #define vrep1(i, n) for (int i = (ll)n; i > 0; i--) #define all(n) n.begin(), n.end() #define pb push_back #define debug(x) cerr << #x << ": " << x << '\n' struct edge { edge(int i, long c = 1) { to = i; cost = c; } int to; long cost; }; typedef vector<edge> vedge; // bを何回足せばaを超えるか(O(a/b)) // a+b-1/bとすればよし // 2進数表示したときの最高桁(O(log n)) int bi_max(long n) { int m = 0; for (m; (1 << m) <= n; m++) ; m = m - 1; return m; } // bi_eに二進数表示したやつを代入(O(log^2 n)) // bitset<N> // a(n)でnの二進数表示が得られて、a[i]=0or1でi番目のfragが立ってるかわかる x^n // mod m (nが負の時は0)(O(log n)) long myPow(long x, long n, long m = mod) { if (n < 0) return 0; if (n == 0) return 1; if (n % 2 == 0) return myPow(x * x % m, n / 2, m); else return x * myPow(x, n - 1, m) % m; } // auto mod int // https://youtu.be/L8grWxBlIZ4?t=9858 // https://youtu.be/ERZuLAxZffQ?t=4807 : optimize // https://youtu.be/8uowVvQ_-Mo?t=1329 : division struct mint { ll x; // typedef long long ll; mint(ll x = 0) : x((x % mod + mod) % mod) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint &operator-=(const mint a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod - 2); } mint &operator/=(const mint a) { return *this *= a.inv(); } mint operator/(const mint a) const { return mint(*this) /= a; } bool operator!=(const int a) { return this->x != a; } bool operator==(const int a) { return this->x == a; } }; istream &operator>>(istream &is, const mint &a) { return is >> a.x; } ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } // combination mod prime // https://www.youtube.com/watch?v=8uowVvQ_-Mo&feature=youtu.be&t=1619 struct combination { vector<mint> fact, ifact; combination(int n) : fact(n + 1), ifact(n + 1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i - 1] * i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i - 1] = ifact[i] * i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n] * ifact[k] * ifact[n - k]; } }; template <class T> bool maxin(T &a, T b) { if (a < b) { a = b; return 1; } return 0; } template <class T> bool minin(T &a, T b) { if (a > b) { a = b; return 1; } return 0; } template <class M, class N> constexpr common_type_t<M, N> gcd(M a, N b) { a = abs(a); b = abs(b); if (a < b) return gcd(b, a); M r; while ((r = a % b)) { a = b; b = r; } return b; } template <class M, class N> constexpr common_type_t<M, N> lcm(M a, N b) { return a * b / gcd(a, b); } const int N_MAX = 1000005; int k; string s; void Main() { int x = 0, y = INF10, z = 1; // 入力 cin >> k; cin >> s; // 処理 int n = s.size(); mint ans; combination c(2 * N_MAX); rep2(i, n - 1, n + k - 1) { ans += mint(25).pow(i + 1 - n) * mint(26).pow(n + k - i - 1) * c(i, n - 1); } // 出力 cout << ans << endl; } int main() { cin.tie(nullptr); cout << fixed << setprecision(12); Main(); }
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p02632
C++
Runtime Error
#include <algorithm> #include <cmath> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <stack> #include <string> #include <time.h> #include <vector> #define int long long #define double long double #define rep(i, n) for (int i = 0; i < n; i++) #define REP(i, n) for (int i = 1; i <= n; i++) #define ggr \ getchar(); \ getchar(); \ return 0; #define prique priority_queue constexpr auto mod = 1000000007; #define inf 1e15 #define key 1e9 using namespace std; typedef pair<int, int> P; template <class T> inline void chmax(T &a, T b) { a = std::max(a, b); } template <class T> inline void chmin(T &a, T b) { a = std::min(a, b); } // combination(Nが小さい時はこれを使う const int MAX = 330000; int fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod % i] * (mod / i) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } long long COMB(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } bool prime(int n) { int cnt = 0; for (int i = 1; i <= sqrt(n); i++) { if (n % i == 0) cnt++; } if (cnt != 1) return false; else return n != 1; } int gcd(int x, int y) { if (y == 0) return x; return gcd(y, x % y); } int lcm(int x, int y) { return x / gcd(x, y) * y; } // 繰り返し二乗法(Nが大きい時の場合のcombination) int mod_pow(int x, int y, int m) { int res = 1; while (y) { if (y & 1) { res = res * x % m; } x = x * x % m; y >>= 1; } return res; } int kai(int x, int y) { int res = 1; for (int i = x - y + 1; i <= x; i++) { res *= (i % mod); res %= mod; } return res; } int comb(int x, int y) { if (y > x) return 0; return kai(x, y) * mod_pow(kai(y, y), mod - 2, mod) % mod; } // UnionFind class UnionFind { protected: int *par, *rank, *size; public: UnionFind(unsigned int size) { par = new int[size]; rank = new int[size]; this->size = new int[size]; rep(i, size) { par[i] = i; rank[i] = 0; this->size[i] = 1; } } int find(int n) { if (par[n] == n) return n; return par[n] = find(par[n]); } void unite(int n, int m) { n = find(n); m = find(m); if (n == m) return; if (rank[n] < rank[m]) { par[n] = m; size[m] += size[n]; } else { par[m] = n; size[n] += size[m]; if (rank[n] == rank[m]) rank[n]++; } } bool same(int n, int m) { return find(n) == find(m); } int getsize(int n) { return size[find(n)]; } }; int dight(int n) { int ans = 1; while (n >= 10) { n /= 10; ans++; } return ans; } int dight_sum(int n) { int sum = 0; rep(i, 20) sum += (n % (int)pow(10, i + 1)) / (pow(10, i)); return sum; } int dight_min(int n) { int ans = 9; while (n >= 10) { ans = min(ans, n % 10); n /= 10; } ans = min(ans, n); return ans; } int dight_max(int n) { int ans = 0; while (n >= 10) { ans = max(ans, n % 10); n /= 10; } ans = max(ans, n); return ans; } 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; } string myxor(int a, int b) { string s; int ppp = a, qqq = b; while (ppp != 0 || qqq != 0) { int nn = ppp % 2; int mm = qqq % 2; if (nn == mm) s += '0'; else s += '1'; ppp /= 2; qqq /= 2; } return s; } int k; string s; signed main() { COMinit(); cin >> k >> s; int n = s.size(); int ans = 0; rep(i, k + 1) { ans += ((mod_pow(26, i, mod) * COMB(n + k - i - 1, n - 1)) % mod * mod_pow(25, k - i, mod)) % mod; ans %= mod; } cout << ans << endl; ggr }
#include <algorithm> #include <cmath> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <stack> #include <string> #include <time.h> #include <vector> #define int long long #define double long double #define rep(i, n) for (int i = 0; i < n; i++) #define REP(i, n) for (int i = 1; i <= n; i++) #define ggr \ getchar(); \ getchar(); \ return 0; #define prique priority_queue constexpr auto mod = 1000000007; #define inf 1e15 #define key 1e9 using namespace std; typedef pair<int, int> P; template <class T> inline void chmax(T &a, T b) { a = std::max(a, b); } template <class T> inline void chmin(T &a, T b) { a = std::min(a, b); } // combination(Nが小さい時はこれを使う const int MAX = 2330000; int fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % mod; inv[i] = mod - inv[mod % i] * (mod / i) % mod; finv[i] = finv[i - 1] * inv[i] % mod; } } long long COMB(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % mod) % mod; } bool prime(int n) { int cnt = 0; for (int i = 1; i <= sqrt(n); i++) { if (n % i == 0) cnt++; } if (cnt != 1) return false; else return n != 1; } int gcd(int x, int y) { if (y == 0) return x; return gcd(y, x % y); } int lcm(int x, int y) { return x / gcd(x, y) * y; } // 繰り返し二乗法(Nが大きい時の場合のcombination) int mod_pow(int x, int y, int m) { int res = 1; while (y) { if (y & 1) { res = res * x % m; } x = x * x % m; y >>= 1; } return res; } int kai(int x, int y) { int res = 1; for (int i = x - y + 1; i <= x; i++) { res *= (i % mod); res %= mod; } return res; } int comb(int x, int y) { if (y > x) return 0; return kai(x, y) * mod_pow(kai(y, y), mod - 2, mod) % mod; } // UnionFind class UnionFind { protected: int *par, *rank, *size; public: UnionFind(unsigned int size) { par = new int[size]; rank = new int[size]; this->size = new int[size]; rep(i, size) { par[i] = i; rank[i] = 0; this->size[i] = 1; } } int find(int n) { if (par[n] == n) return n; return par[n] = find(par[n]); } void unite(int n, int m) { n = find(n); m = find(m); if (n == m) return; if (rank[n] < rank[m]) { par[n] = m; size[m] += size[n]; } else { par[m] = n; size[n] += size[m]; if (rank[n] == rank[m]) rank[n]++; } } bool same(int n, int m) { return find(n) == find(m); } int getsize(int n) { return size[find(n)]; } }; int dight(int n) { int ans = 1; while (n >= 10) { n /= 10; ans++; } return ans; } int dight_sum(int n) { int sum = 0; rep(i, 20) sum += (n % (int)pow(10, i + 1)) / (pow(10, i)); return sum; } int dight_min(int n) { int ans = 9; while (n >= 10) { ans = min(ans, n % 10); n /= 10; } ans = min(ans, n); return ans; } int dight_max(int n) { int ans = 0; while (n >= 10) { ans = max(ans, n % 10); n /= 10; } ans = max(ans, n); return ans; } 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; } string myxor(int a, int b) { string s; int ppp = a, qqq = b; while (ppp != 0 || qqq != 0) { int nn = ppp % 2; int mm = qqq % 2; if (nn == mm) s += '0'; else s += '1'; ppp /= 2; qqq /= 2; } return s; } int k; string s; signed main() { COMinit(); cin >> k >> s; int n = s.size(); int ans = 0; rep(i, k + 1) { ans += ((mod_pow(26, i, mod) * COMB(n + k - i - 1, n - 1)) % mod * mod_pow(25, k - i, mod)) % mod; ans %= mod; } cout << ans << endl; ggr }
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0
p02632
C++
Runtime Error
#include <algorithm> #include <cctype> #include <cmath> #include <cstdio> #include <cstring> #include <deque> #include <functional> #include <iostream> #include <map> #include <queue> #include <set> #include <sstream> #include <stack> #include <string> #include <vector> #define fir first #define sec second using namespace std; typedef long long ll; typedef pair<int, int> P; typedef pair<P, int> Q; const int inf1 = 1e9 + 9; const ll inf2 = 8e18 + 9; const ll mol = 1e9 + 7; const int maxn = 1e6 + 9; const ll maxx = 1e5 + 9; int n, len; string s; ll fac[maxn] = {1}; inline ll qpow(ll x, ll t) { ll res = 1; while (t) { if (t & 1) res = (res * x) % mol; t >>= 1; x = (x * x) % mol; } return res; } void init() { cin >> n >> s; len = s.size(); for (int i = 1; i < maxn; i++) fac[i] = fac[i - 1] * i % mol; } inline ll inv(ll t) { return qpow(t, mol - 2); } inline ll c(ll n, ll r) { if (!n || !r) return 1; return fac[n] * inv(fac[r]) % mol * inv(fac[n - r]) % mol; } int main() { init(); ll ans = 0; for (int i = len; i <= len + n; i++) { ll tmp = c(i - 1, len - 1); tmp = (tmp * qpow(25, i - len)) % mol; tmp = (tmp * qpow(26, len + n - i)) % mol; ans = (ans + tmp) % mol; } cout << ans << endl; }
#include <algorithm> #include <cctype> #include <cmath> #include <cstdio> #include <cstring> #include <deque> #include <functional> #include <iostream> #include <map> #include <queue> #include <set> #include <sstream> #include <stack> #include <string> #include <vector> #define fir first #define sec second using namespace std; typedef long long ll; typedef pair<int, int> P; typedef pair<P, int> Q; const int inf1 = 1e9 + 9; const ll inf2 = 8e18 + 9; const ll mol = 1e9 + 7; const int maxn = 2e6 + 9; const ll maxx = 1e5 + 9; int n, len; string s; ll fac[maxn] = {1}; inline ll qpow(ll x, ll t) { ll res = 1; while (t) { if (t & 1) res = (res * x) % mol; t >>= 1; x = (x * x) % mol; } return res; } void init() { cin >> n >> s; len = s.size(); for (int i = 1; i < maxn; i++) fac[i] = fac[i - 1] * i % mol; } inline ll inv(ll t) { return qpow(t, mol - 2); } inline ll c(ll n, ll r) { if (!n || !r) return 1; return fac[n] * inv(fac[r]) % mol * inv(fac[n - r]) % mol; } int main() { init(); ll ans = 0; for (int i = len; i <= len + n; i++) { ll tmp = c(i - 1, len - 1); tmp = (tmp * qpow(25, i - len)) % mol; tmp = (tmp * qpow(26, len + n - i)) % mol; ans = (ans + tmp) % mol; } cout << ans << endl; }
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27
0
p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long ll; const ll M = 1e9 + 7; ll n, m, ans = 0, fac[1000010]; string s; ll mpow(ll a, ll n) { int ret = 1; for (ll i = n; i; i >>= 1, a = a * a % M) if (i & 1) ret = ret * a % M; return ret; } int main() { cin >> n >> s; m = s.size(); fac[0] = 1; for (int i = 1; i < m + n; i++) fac[i] = (fac[i - 1] * i) % M; for (int i = 0; i <= n; i++) { ll c = (fac[m + n - i - 1] * mpow((fac[m - 1] * fac[n - i]) % M, M - 2)) % M; ans = (ans + (mpow(26, i) * c) % M * mpow(25, n - i)) % M; } cout << ans; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; const ll M = 1e9 + 7; ll n, m, ans = 0, fac[2000010]; string s; ll mpow(ll a, ll n) { int ret = 1; for (ll i = n; i; i >>= 1, a = a * a % M) if (i & 1) ret = ret * a % M; return ret; } int main() { cin >> n >> s; m = s.size(); fac[0] = 1; for (int i = 1; i < m + n; i++) fac[i] = (fac[i - 1] * i) % M; for (int i = 0; i <= n; i++) { ll c = (fac[m + n - i - 1] * mpow((fac[m - 1] * fac[n - i]) % M, M - 2)) % M; ans = (ans + (mpow(26, i) * c) % M * mpow(25, n - i)) % M; } cout << ans; }
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0
p02632
C++
Time Limit Exceeded
#include <algorithm> #include <iomanip> #include <iostream> #include <map> #include <math.h> #include <numeric> #include <queue> #include <set> #include <stack> #include <stdio.h> #define rep(i, n) for (int i = 0; i < (n); ++i) using namespace std; using ll = long long; using P = pair<int, int>; ll N, K; ll m; string S; ll d; ll M = 1000000007; vector<ll> fac(5000001); // n!(mod M) vector<ll> ifac(5000001); // k!^{M-2} (mod M) // a,bの範囲的にこれだけ配列を用意していけば十分 ll mpow(ll x, ll n) { // x^n(mod M) ←普通にpow(x,n)では溢れてしまうため,随時mod計算 ll ans = 1; while (n != 0) { if (n & 1) ans = ans * x % M; x = x * x % M; n = n >> 1; } return ans; } ll comb(ll a, ll b) { // aCbをmod計算 if (a == 0 && b == 0) return 1; if (a < b || a < 0) return 0; ll tmp = ifac[a - b] * ifac[b] % M; return tmp * fac[a] % M; } int main() { fac[0] = 1; ifac[0] = 1; for (ll i = 0; i < 5000000; i++) { fac[i + 1] = fac[i] * (i + 1) % M; // n!(mod M) ifac[i + 1] = ifac[i] * mpow(i + 1, M - 2) % M; // k!^{M-2} (mod M) ←累乗にmpowを採用 } cin >> K >> S; N = S.size(); for (ll i = 0; i <= K; i++) { d = comb(i + N - 1, N - 1); d = (d * mpow(25, i)) % M; d = (d * mpow(26, (K - i))) % M; m = (m + d) % M; } cout << m << endl; }
#include <algorithm> #include <iomanip> #include <iostream> #include <map> #include <math.h> #include <numeric> #include <queue> #include <set> #include <stack> #include <stdio.h> #define rep(i, n) for (int i = 0; i < (n); ++i) using namespace std; using ll = long long; using P = pair<int, int>; ll N, K; ll m; string S; ll d; ll M = 1000000007; vector<ll> fac(5000001); // n!(mod M) vector<ll> ifac(5000001); // k!^{M-2} (mod M) // a,bの範囲的にこれだけ配列を用意していけば十分 ll mpow(ll x, ll n) { // x^n(mod M) ←普通にpow(x,n)では溢れてしまうため,随時mod計算 ll ans = 1; while (n != 0) { if (n & 1) ans = ans * x % M; x = x * x % M; n = n >> 1; } return ans; } ll comb(ll a, ll b) { // aCbをmod計算 if (a == 0 && b == 0) return 1; if (a < b || a < 0) return 0; ll tmp = ifac[a - b] * ifac[b] % M; return tmp * fac[a] % M; } int main() { fac[0] = 1; ifac[0] = 1; for (ll i = 0; i < 2000000; i++) { fac[i + 1] = fac[i] * (i + 1) % M; // n!(mod M) ifac[i + 1] = ifac[i] * mpow(i + 1, M - 2) % M; // k!^{M-2} (mod M) ←累乗にmpowを採用 } cin >> K >> S; N = S.size(); for (ll i = 0; i <= K; i++) { d = comb(i + N - 1, N - 1); d = (d * mpow(25, i)) % M; d = (d * mpow(26, (K - i))) % M; m = (m + d) % M; } cout << m << endl; }
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TLE
p02632
C++
Runtime Error
#include <bits/stdc++.h> #define endl "\n" using namespace std; typedef long long int lli; const lli M = 1e9 + 7, N = 1e6 + 5; lli fact[N]; lli binpow(lli a, lli b) { if (b == 0) return 1; lli res = binpow(a, b / 2); res = (res * res) % M; if (b % 2) return (res * a) % M; return res; } lli inv(lli a) { return binpow(a, M - 2); } lli add(lli a, lli b) { lli res = a + b; if (res >= M) return res - M; return res; } lli mul(lli a, lli b) { lli res = a * b; if (res >= M) return res % M; return res; } lli sub(lli a, lli b) { return (a % M - b % M + M) % M; } void pre() { fact[0] = 1; for (int i = 1; i < N; i++) fact[i] = mul(fact[i - 1], i); } lli ncr(lli n, lli r) { return mul(fact[n], inv(mul(fact[n - r], fact[r]))); } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); pre(); lli k; string s; cin >> k >> s; lli i, n = s.length(), ans = binpow(26, n + k); for (i = 0; i < n; i++) ans = sub(ans, mul(ncr(n + k, i), binpow(25, n + k - i))); cout << ans; return 0; }
#include <bits/stdc++.h> #define endl "\n" using namespace std; typedef long long int lli; const lli M = 1e9 + 7, N = 2e6 + 5; lli fact[N]; lli binpow(lli a, lli b) { if (b == 0) return 1; lli res = binpow(a, b / 2); res = (res * res) % M; if (b % 2) return (res * a) % M; return res; } lli inv(lli a) { return binpow(a, M - 2); } lli add(lli a, lli b) { lli res = a + b; if (res >= M) return res - M; return res; } lli mul(lli a, lli b) { lli res = a * b; if (res >= M) return res % M; return res; } lli sub(lli a, lli b) { return (a % M - b % M + M) % M; } void pre() { fact[0] = 1; for (int i = 1; i < N; i++) fact[i] = mul(fact[i - 1], i); } lli ncr(lli n, lli r) { return mul(fact[n], inv(mul(fact[n - r], fact[r]))); } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); pre(); lli k; string s; cin >> k >> s; lli i, n = s.length(), ans = binpow(26, n + k); for (i = 0; i < n; i++) ans = sub(ans, mul(ncr(n + k, i), binpow(25, n + k - i))); cout << ans; return 0; }
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0
p02632
C++
Runtime Error
#pragma GCC optimize("O3") #include <bits/stdc++.h> using namespace std; #ifdef LOCAL #include <prettyprint.hpp> #define debug(...) cerr << "[" << #__VA_ARGS__ << "]: ", d_err(__VA_ARGS__); #else #define debug(...) 83; #endif void d_err() { cerr << endl; } template <typename H, typename... T> void d_err(H h, T... t) { cerr << h << " "; d_err(t...); } template <typename T> void print(T x) { cout << x << endl; } #define ALL(x) (x).begin(), (x).end() #define FOR(i, m, n) for (int i = (m); i < (n); ++i) #define REP(i, n) FOR(i, 0, n) #define fi first #define se second #define pb push_back #define mp make_pair #define eb emplace_back #define bcnt __builtin_popcountll typedef long long ll; typedef vector<int> vi; typedef vector<ll> vll; typedef pair<ll, ll> Pll; typedef pair<int, int> Pin; ll INF = 1e16; int inf = 1e9; ll MOD = 1e9 + 7; struct mint { ll x; // typedef long long ll; mint(ll x = 0) : x((x % MOD + MOD) % MOD) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint &operator-=(const mint a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= MOD; return *this; } mint operator+(const mint a) const { mint res(*this); return res += a; } mint operator-(const mint a) const { mint res(*this); return res -= a; } mint operator*(const mint a) const { mint res(*this); return res *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime MOD mint inv() const { return pow(MOD - 2); } mint &operator/=(const mint a) { return (*this) *= a.inv(); } mint operator/(const mint a) const { mint res(*this); return res /= a; } }; ostream &operator<<(ostream &os, const mint a) { os << a.x; return os; } //////////////////////////////// const int NMAX = int(1e6); ll fact[NMAX + 1], finv[NMAX + 1], inv[NMAX + 1]; void comb_init(int N) { // init REP(i, 2) { fact[i] = 1; finv[i] = 1; inv[i] = 1; } FOR(i, 2, N + 1) { fact[i] = fact[i - 1] * i % MOD; inv[i] = MOD - MOD / i * inv[MOD % i] % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } mint comb(int n, int k) { if (n < k || n < 0 || k < 0) return 0; return mint(fact[n]) * finv[k] * finv[n - k]; } int main() { cin.tie(0); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); int K; cin >> K; string S; cin >> S; comb_init(K + S.size() + 10); mint ans = 0; REP(k, K + 1) { mint c = comb(S.size() + k - 1, k); ans += c * mint(25).pow(k) * mint(26).pow(K - k); } print(ans); }
#pragma GCC optimize("O3") #include <bits/stdc++.h> using namespace std; #ifdef LOCAL #include <prettyprint.hpp> #define debug(...) cerr << "[" << #__VA_ARGS__ << "]: ", d_err(__VA_ARGS__); #else #define debug(...) 83; #endif void d_err() { cerr << endl; } template <typename H, typename... T> void d_err(H h, T... t) { cerr << h << " "; d_err(t...); } template <typename T> void print(T x) { cout << x << endl; } #define ALL(x) (x).begin(), (x).end() #define FOR(i, m, n) for (int i = (m); i < (n); ++i) #define REP(i, n) FOR(i, 0, n) #define fi first #define se second #define pb push_back #define mp make_pair #define eb emplace_back #define bcnt __builtin_popcountll typedef long long ll; typedef vector<int> vi; typedef vector<ll> vll; typedef pair<ll, ll> Pll; typedef pair<int, int> Pin; ll INF = 1e16; int inf = 1e9; ll MOD = 1e9 + 7; struct mint { ll x; // typedef long long ll; mint(ll x = 0) : x((x % MOD + MOD) % MOD) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint &operator-=(const mint a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint &operator*=(const mint a) { (x *= a.x) %= MOD; return *this; } mint operator+(const mint a) const { mint res(*this); return res += a; } mint operator-(const mint a) const { mint res(*this); return res -= a; } mint operator*(const mint a) const { mint res(*this); return res *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime MOD mint inv() const { return pow(MOD - 2); } mint &operator/=(const mint a) { return (*this) *= a.inv(); } mint operator/(const mint a) const { mint res(*this); return res /= a; } }; ostream &operator<<(ostream &os, const mint a) { os << a.x; return os; } //////////////////////////////// const int NMAX = int(1e7); ll fact[NMAX + 1], finv[NMAX + 1], inv[NMAX + 1]; void comb_init(int N) { // init REP(i, 2) { fact[i] = 1; finv[i] = 1; inv[i] = 1; } FOR(i, 2, N + 1) { fact[i] = fact[i - 1] * i % MOD; inv[i] = MOD - MOD / i * inv[MOD % i] % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } mint comb(int n, int k) { if (n < k || n < 0 || k < 0) return 0; return mint(fact[n]) * finv[k] * finv[n - k]; } int main() { cin.tie(0); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); int K; cin >> K; string S; cin >> S; comb_init(K + S.size() + 10); mint ans = 0; REP(k, K + 1) { mint c = comb(S.size() + k - 1, k); ans += c * mint(25).pow(k) * mint(26).pow(K - k); } print(ans); }
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p02632
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define int long long #define rep(i, n) for (int i = 0; i < n; i++) #define REP(i, n) for (int i = 1; i < n; i++) #define rev(i, n) for (int i = n - 1; i >= 0; i--) #define all(v) v.begin(), v.end() #define P pair<int, int> #define len(s) (int)s.size() #define pb push_back 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; } constexpr int mod = 1e9 + 7; constexpr int inf = 3e18; int K; string S; int mod_pow(int x, int y, int m = mod) { int res = 1; while (y > 0) { if (y & 1) (res *= x) %= m; (x *= x) %= m; y >>= 1; } return res; } vector<int> perm, inv; void init_perm() { int x = 1e6 + 1; perm.resize(x); inv.resize(x); perm[0] = 1; REP(i, x + 1) perm[i] = perm[i - 1] * i % mod; inv[x] = mod_pow(perm[x], mod - 2); for (int i = x - 1; i >= 0; i--) { inv[i] = inv[i + 1] * (i + 1) % mod; } } int nCk(int x, int y) { if (x < y) return 0; return perm[x] * inv[x - y] % mod * inv[y] % mod; } signed main() { init_perm(); cin >> K >> S; int N = K + len(S), M = len(S); int ans = 0; for (int i = M; i <= N; i++) { int p = nCk(N, i); int q = mod_pow(25, N - i); ans += p * q % mod; ans %= mod; } cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; #define int long long #define rep(i, n) for (int i = 0; i < n; i++) #define REP(i, n) for (int i = 1; i < n; i++) #define rev(i, n) for (int i = n - 1; i >= 0; i--) #define all(v) v.begin(), v.end() #define P pair<int, int> #define len(s) (int)s.size() #define pb push_back 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; } constexpr int mod = 1e9 + 7; constexpr int inf = 3e18; int K; string S; int mod_pow(int x, int y, int m = mod) { int res = 1; while (y > 0) { if (y & 1) (res *= x) %= m; (x *= x) %= m; y >>= 1; } return res; } vector<int> perm, inv; void init_perm() { int x = 2e6 + 1; perm.resize(x); inv.resize(x); perm[0] = 1; REP(i, x + 1) perm[i] = perm[i - 1] * i % mod; inv[x] = mod_pow(perm[x], mod - 2); for (int i = x - 1; i >= 0; i--) { inv[i] = inv[i + 1] * (i + 1) % mod; } } int nCk(int x, int y) { if (x < y) return 0; return perm[x] * inv[x - y] % mod * inv[y] % mod; } signed main() { init_perm(); cin >> K >> S; int N = K + len(S), M = len(S); int ans = 0; for (int i = M; i <= N; i++) { int p = nCk(N, i); int q = mod_pow(25, N - i); ans += p * q % mod; ans %= mod; } cout << ans << endl; }
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p02632
C++
Time Limit Exceeded
#include <bits/stdc++.h> #define ll long long #define ull unsigned long long #define MP make_pair #define PII pair<int, int> #define PLL pair<ll, ll> #define PLI pair<ll, int> #define PIL pair<int, ll> #define STR string #define Fst first #define Snd second #define SHN 1e9 #define LSHN 1e18 using namespace std; ll n, m; char str[1000010]; ll md = 1e9 + 7; ll inv[2000010]; ll ksm[2000010]; ll ksmi(ll x, ll y) { ksm[0] = x; for (int i = 1; i <= 60; i++) ksm[i] = (ksm[i - 1] * ksm[i - 1]) % md; ll res = 1; for (int i = 0; i <= 60; i++) if (y & (1ll << i)) res = (res * ksm[i]) % md; return res; } int main() { scanf("%lld%s", &n, &str); string s = str; m = s.size(), n += m; for (int i = 1; i <= n; i++) inv[i] = ksmi(i, md - 2); vector<ll> com; ll t = 1; for (ll i = m - 1; i < n; i++) { // cout <<t<<" ##\n"; if (!(m - 1)) com.push_back(1); else { com.push_back(t); t = (t * inv[i - (m - 1) + 1]) % md; t = (t * (i + 1)) % md; } } // for (int i=0;i<com.size();i++) cout <<com[i]<<" "; // cout <<"\n"; t = 1; for (int i = 0; i < com.size(); i++) com[i] = (com[i] * t) % md, t = (t * 25) % md; ll res = 0; for (int i = 0; i < com.size(); i++) res = (((res * 26) % md) + com[i]) % md; printf("%lld", res); return 0; }
#include <bits/stdc++.h> #define ll long long #define ull unsigned long long #define MP make_pair #define PII pair<int, int> #define PLL pair<ll, ll> #define PLI pair<ll, int> #define PIL pair<int, ll> #define STR string #define Fst first #define Snd second #define SHN 1e9 #define LSHN 1e18 using namespace std; ll n, m; char str[1000010]; ll md = 1e9 + 7; ll inv[2000010]; ll ksm[2000010]; ll ksmi(ll x, ll y) { ksm[0] = x; for (int i = 1; i <= 60; i++) ksm[i] = (ksm[i - 1] * ksm[i - 1]) % md; ll res = 1; for (int i = 0; i <= 60; i++) if (y & (1ll << i)) res = (res * ksm[i]) % md; return res; } int main() { scanf("%lld%s", &n, &str); string s = str; m = s.size(), n += m; for (int i = 1; i < n - (m - 1) + 1; i++) inv[i] = ksmi(i, md - 2); vector<ll> com; ll t = 1; for (ll i = m - 1; i < n; i++) { // cout <<t<<" ##\n"; if (!(m - 1)) com.push_back(1); else { com.push_back(t); t = (t * inv[i - (m - 1) + 1]) % md; t = (t * (i + 1)) % md; } } // for (int i=0;i<com.size();i++) cout <<com[i]<<" "; // cout <<"\n"; t = 1; for (int i = 0; i < com.size(); i++) com[i] = (com[i] * t) % md, t = (t * 25) % md; ll res = 0; for (int i = 0; i < com.size(); i++) res = (((res * 26) % md) + com[i]) % md; printf("%lld", res); return 0; }
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TLE