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PASSED
e5f95453dc0c0954eaeda08b920a5a71
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class Solution { public static void main(String[] args) { Scanner in = new Scanner(System.in); for (int t = in.nextInt(); t > 0; t--) { long coord = in.nextLong(); long steps = in.nextLong(); for (long s = steps / 4 * 4 + 1; s <= steps;) { coord = nextCoord(coord, s++); } System.out.println(coord); } } private static long nextCoord(long coord, long step) { if ((coord & 1) == 0) return coord - step; else return coord + step; } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 8
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
c3ecdcb31dc608a3a8288d4da55b31c6
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.util.Arrays; import java.util.StringTokenizer; import java.util.*; import static java.lang.System.out; import static java.lang.Math.*; public class pre267 { static class FastReader { BufferedReader br; StringTokenizer st; public FastReader() { br = new BufferedReader( new InputStreamReader(System.in)); } String next() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } String nextLine() { String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } } static class MultiSet<K> { TreeMap<K, Integer> map; MultiSet() { map = new TreeMap<>(); } void add(K a) { map.put(a, map.getOrDefault(a, 0) + 1); } boolean contains(K a) { return map.containsKey(a); } void remove(K a) { map.put(a, map.get(a) - 1); if (map.get(a) == 0) map.remove(a); } int occrence(K a) { return map.get(a); } K floor(K a) { return map.floorKey(a); } K ceil(K a) { return map.ceilingKey(a); } @Override public String toString() { ArrayList<K> set = new ArrayList<>(); for (Map.Entry<K, Integer> i : map.entrySet()) { for (int j = 1; j <= i.getValue(); j++) set.add(i.getKey()); } return set.toString(); } } static class Pair<K, V> { K value1; V value2; Pair(K a, V b) { value1 = a; value2 = b; } @Override public boolean equals(Object o) { if (this == o) return true; if (!(o instanceof Pair)) return false; Pair<?, ?> p = (Pair<?, ?>) o; return Objects.equals(this.value1, p.value1) && Objects.equals(this.value2, p.value2); } @Override public int hashCode() { int result = this.value1.hashCode(); result = 31 * result + this.value2.hashCode(); return result; } @Override public String toString() { return ("[" + value1 + " <=> " + value2 + "]"); } } static ArrayList<Integer> primes; static void setPrimes(int n) { boolean p[] = new boolean[n]; Arrays.fill(p, true); for (int i = 2; i < p.length; i++) { if (p[i]) { primes.add(i); for (int j = i * 2; j < p.length; j += i) p[j] = false; } } } static int mod = (int) (1e9 + 7); static int gcd(int a, int b) { if (a == 0) return b; return gcd(b % a, a); } public static void main(String args[]) { FastReader obj = new FastReader(); int tc = obj.nextInt(); while(tc--!=0){ long x = obj.nextLong(),n = obj.nextLong(); if(x%2==0){ if(n%4==0) out.println(x); else if(n%4==1) out.println(x-n); else if(n%4==2) out.println(x+(n)-(n-1)); else if(n%4==3) out.println(x+n-(n-2)+(n-1)); }else{ if(n%4==0) out.println(x); else if(n%4==1) out.println(x+n); else if(n%4==2) out.println(x-(n)+(n-1)); else if(n%4==3) out.println(x-n+(n-2)-(n-1)); } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 8
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
625c73960757bf13ec66c0cbe6e28381
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.*; import java.util.*; /** * @author KaiXin * @version 11 * @date 2022-07-12 20:05 */ public class TaskB { static final int SIZE = (int)2E5 + 5; public static void solve(InputReader in,PrintWriter out){ long x0 = in.nextLong(),n = in.nextLong(); long ans = 0; long cnt = n / 4; long res = n % 4; if(x0 % 2 == 0){ if(res == 2) ans = x0 + 1; else if (res == 0) ans = x0; else if(res == 1){ ans = x0 - (1 + cnt * 4); } else ans = x0 + 4 + cnt * 4; } else { if(res == 0) ans = x0; else if(res == 1) ans = x0 + (1 + cnt * 4); else if(res == 2) ans = x0 - 1; else ans = x0 - (4 + cnt * 4); } out.println(ans); } private static class InputReader { private BufferedReader reader; private StringTokenizer tokenizer; public InputReader(InputStream stream) { reader = new BufferedReader(new InputStreamReader(stream), 32768); tokenizer = null; } public String next() { while (tokenizer == null || !tokenizer.hasMoreTokens()) { try { tokenizer = new StringTokenizer(reader.readLine()); } catch (IOException e) { throw new RuntimeException(e); } } return tokenizer.nextToken(); } public int nextInt() { return Integer.parseInt(next()); } public long nextLong() { return Long.parseLong(next()); } public double nextDouble() { return Double.parseDouble(next()); } public String nextLine() { String str = ""; try { str = reader.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } } public static void main(String[] args) { InputReader in = new InputReader(System.in); PrintWriter out = new PrintWriter(System.out); int T = 1; T = in.nextInt(); for(int i = 1; i <= T; ++i){ solve(in,out); } out.close(); } } /* 1 1000000000 923456789987654321 * */
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 8
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
03c4dbcdbbfaea30a7eab6eca4068dd2
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.*; import java.util.*; public class ProblemC { public static void main(String[] args) throws IOException { BufferedReader br=new BufferedReader(new InputStreamReader(System.in)); StringBuilder sb=new StringBuilder(); int test=Integer.parseInt(br.readLine()); while(test-->0) { String line[]=br.readLine().split(" "); long x=Long.parseLong(line[0]); long n=Long.parseLong(line[1]); long jump=(n/4)*4; for(long i=jump+1;i<=n;i++) { if(x%2==0) x-=i; else x+=i; } sb.append(x); sb.append("\n"); } System.out.println(sb); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 8
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
2e41e3bacd6df8e8817cb7512d97900d
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.*; import java.math.BigDecimal; import java.math.RoundingMode; import java.util.*; public class ProblemC { public static void main(String[] args) throws Exception { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); StringBuilder sb = new StringBuilder(); int test = Integer.parseInt(br.readLine()); while(test-->0){ String line[] = br.readLine().split(" "); long x = Long.parseLong(line[0]); long n = Long.parseLong(line[1]); long jump = (n/4)*4; for(long i = jump+1;i<=n;i++){ if(x%2 == 0)x-=i; else x+=i; } sb.append(x); sb.append("\n"); } System.out.println(sb); } public static void sort(int arr[]){ ArrayList<Integer>list = new ArrayList<>(); for(int it:arr)list.add(it); Collections.sort(list); for(int i = 0;i<list.size();i++)arr[i] = list.get(i); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 8
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
c622acc730a3120ed21163ecbb0715d1
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.HashMap; import java.util.HashSet; import java.util.Map; import java.util.Random; import java.util.Stack; import java.util.StringTokenizer; import java.util.TreeMap; // B -> CodeForcesProblemSet public final class B { static FastReader fr = new FastReader(); static PrintWriter out = new PrintWriter(System.out); static final int gigamod = 1000000007; static int t = 1; static double epsilon = 0.00000001; static boolean[] isPrime; static int[] smallestFactorOf; @SuppressWarnings("unused") public static void main(String[] args) { t = fr.nextInt(); OUTER: for (int tc = 0; tc < t; tc++) { long x0 = fr.nextLong(), n = fr.nextLong(); // x0 is just the offset // 'n' is the real deal long nEffect = -1; if (n % 4 == 0) nEffect = 0; if (n % 4 == 1) nEffect = -n; if (n % 4 == 2) nEffect = 1; if (n % 4 == 3) nEffect = n + 1; if (x0 % 2 == 0) out.println(x0 + nEffect); else out.println(x0 - nEffect); } out.close(); } static class Query { int type, idx; long val; Query(int tt, int ii, long xx) { type = tt; idx = ii; val = xx; } Query(int tt, long xx) { type = tt; val = xx; } } static class Tuple { int val, idx, numPairs; Tuple(int vv, int ii, int np) { val = vv; idx = ii; numPairs = np; } } static class UnionFind { // Uses weighted quick-union with path compression. private int[] parent; // parent[i] = parent of i private int[] size; // size[i] = number of sites in tree rooted at i // Note: not necessarily correct if i is not a root node private int count; // number of components public UnionFind(int n) { count = n; parent = new int[n]; size = new int[n]; for (int i = 0; i < n; i++) { parent[i] = i; size[i] = 1; } } // Number of connected components. public int count() { return count; } // Find the root of p. public int find(int p) { while (p != parent[p]) p = parent[p]; return p; } public boolean connected(int p, int q) { return find(p) == find(q); } public int numConnectedTo(int node) { return size[find(node)]; } // Weighted union. public void union(int p, int q) { int rootP = find(p); int rootQ = find(q); if (rootP == rootQ) return; // make smaller root point to larger one if (size[rootP] < size[rootQ]) { parent[rootP] = rootQ; size[rootQ] += size[rootP]; } else { parent[rootQ] = rootP; size[rootP] += size[rootQ]; } count--; } public static int[] connectedComponents(UnionFind uf) { // We can do this in nlogn. int n = uf.size.length; int[] compoColors = new int[n]; for (int i = 0; i < n; i++) compoColors[i] = uf.find(i); HashMap<Integer, Integer> oldToNew = new HashMap<>(); int newCtr = 0; for (int i = 0; i < n; i++) { int thisOldColor = compoColors[i]; Integer thisNewColor = oldToNew.get(thisOldColor); if (thisNewColor == null) thisNewColor = newCtr++; oldToNew.put(thisOldColor, thisNewColor); compoColors[i] = thisNewColor; } return compoColors; } } static class UGraph { // Adjacency list. private HashSet<Integer>[] adj; private static final String NEWLINE = "\n"; private int E; @SuppressWarnings("unchecked") public UGraph(int V) { adj = (HashSet<Integer>[]) new HashSet[V]; E = 0; for (int i = 0; i < V; i++) adj[i] = new HashSet<Integer>(); } public void addEdge(int from, int to) { if (adj[from].contains(to)) return; E++; adj[from].add(to); adj[to].add(from); } public HashSet<Integer> adj(int from) { return adj[from]; } public int degree(int v) { return adj[v].size(); } public int V() { return adj.length; } public int E() { return E; } public String toString() { StringBuilder s = new StringBuilder(); s.append(V() + " vertices, " + E() + " edges " + NEWLINE); for (int v = 0; v < V(); v++) { s.append(v + ": "); for (int w : adj[v]) { s.append(w + " "); } s.append(NEWLINE); } return s.toString(); } public static void dfsMark(int current, boolean[] marked, UGraph g) { if (marked[current]) return; marked[current] = true; Iterable<Integer> adj = g.adj(current); for (int adjc : adj) dfsMark(adjc, marked, g); } public static void dfsMark(int current, int from, long[] distTo, boolean[] marked, UGraph g, ArrayList<Integer> endPoints) { if (marked[current]) return; marked[current] = true; if (from != -1) distTo[current] = distTo[from] + 1; HashSet<Integer> adj = g.adj(current); int alreadyMarkedCtr = 0; for (int adjc : adj) { if (marked[adjc]) alreadyMarkedCtr++; dfsMark(adjc, current, distTo, marked, g, endPoints); } if (alreadyMarkedCtr == adj.size()) endPoints.add(current); } public static void bfsOrder(int current, UGraph g) { } public static void dfsMark(int current, int[] colorIds, int color, UGraph g) { if (colorIds[current] != -1) return; colorIds[current] = color; Iterable<Integer> adj = g.adj(current); for (int adjc : adj) dfsMark(adjc, colorIds, color, g); } public static int[] connectedComponents(UGraph g) { int n = g.V(); int[] componentId = new int[n]; Arrays.fill(componentId, -1); int colorCtr = 0; for (int i = 0; i < n; i++) { if (componentId[i] != -1) continue; dfsMark(i, componentId, colorCtr, g); colorCtr++; } return componentId; } public static boolean hasCycle(UGraph ug) { int n = ug.V(); boolean[] marked = new boolean[n]; boolean[] hasCycleFirst = new boolean[1]; for (int i = 0; i < n; i++) { if (marked[i]) continue; hcDfsMark(i, ug, marked, hasCycleFirst, -1); } return hasCycleFirst[0]; } // Helper for hasCycle. private static void hcDfsMark(int current, UGraph ug, boolean[] marked, boolean[] hasCycleFirst, int parent) { if (marked[current]) return; if (hasCycleFirst[0]) return; marked[current] = true; HashSet<Integer> adjc = ug.adj(current); for (int adj : adjc) { if (marked[adj] && adj != parent && parent != -1) { hasCycleFirst[0] = true; return; } hcDfsMark(adj, ug, marked, hasCycleFirst, current); } } } static class Digraph { // Adjacency list. private HashSet<Integer>[] adj; private static final String NEWLINE = "\n"; private int E; @SuppressWarnings("unchecked") public Digraph(int V) { adj = (HashSet<Integer>[]) new HashSet[V]; E = 0; for (int i = 0; i < V; i++) adj[i] = new HashSet<Integer>(); } public void addEdge(int from, int to) { if (adj[from].contains(to)) return; E++; adj[from].add(to); } public HashSet<Integer> adj(int from) { return adj[from]; } public int V() { return adj.length; } public int E() { return E; } public Digraph reversed() { Digraph dg = new Digraph(V()); for (int i = 0; i < V(); i++) for (int adjVert : adj(i)) dg.addEdge(adjVert, i); return dg; } public String toString() { StringBuilder s = new StringBuilder(); s.append(V() + " vertices, " + E() + " edges " + NEWLINE); for (int v = 0; v < V(); v++) { s.append(v + ": "); for (int w : adj[v]) { s.append(w + " "); } s.append(NEWLINE); } return s.toString(); } public static int[] KosarajuSharirSCC(Digraph dg) { int[] id = new int[dg.V()]; Digraph reversed = dg.reversed(); // Gotta perform topological sort on this one to get the stack. Stack<Integer> revStack = Digraph.topologicalSort(reversed); // Initializing id and idCtr. id = new int[dg.V()]; int idCtr = -1; // Creating a 'marked' array. boolean[] marked = new boolean[dg.V()]; while (!revStack.isEmpty()) { int vertex = revStack.pop(); if (!marked[vertex]) sccDFS(dg, vertex, marked, ++idCtr, id); } return id; } private static void sccDFS(Digraph dg, int source, boolean[] marked, int idCtr, int[] id) { marked[source] = true; id[source] = idCtr; for (Integer adjVertex : dg.adj(source)) if (!marked[adjVertex]) sccDFS(dg, adjVertex, marked, idCtr, id); } public static Stack<Integer> topologicalSort(Digraph dg) { // dg has to be a directed acyclic graph. // We'll have to run dfs on the digraph and push the deepest nodes on stack first. // We'll need a Stack<Integer> and a int[] marked. Stack<Integer> topologicalStack = new Stack<Integer>(); boolean[] marked = new boolean[dg.V()]; // Calling dfs for (int i = 0; i < dg.V(); i++) if (!marked[i]) runDfs(dg, topologicalStack, marked, i); return topologicalStack; } static void runDfs(Digraph dg, Stack<Integer> topologicalStack, boolean[] marked, int source) { marked[source] = true; for (Integer adjVertex : dg.adj(source)) if (!marked[adjVertex]) runDfs(dg, topologicalStack, marked, adjVertex); topologicalStack.add(source); } } static class FastReader { private BufferedReader bfr; private StringTokenizer st; public FastReader() { bfr = new BufferedReader(new InputStreamReader(System.in)); } String next() { if (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(bfr.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } char nextChar() { return next().toCharArray()[0]; } String nextString() { return next(); } int[] nextIntArray(int n) { int[] arr = new int[n]; for (int i = 0; i < n; i++) arr[i] = nextInt(); return arr; } double[] nextDoubleArray(int n) { double[] arr = new double[n]; for (int i = 0; i < arr.length; i++) arr[i] = nextDouble(); return arr; } long[] nextLongArray(int n) { long[] arr = new long[n]; for (int i = 0; i < n; i++) arr[i] = nextLong(); return arr; } int[][] nextIntGrid(int n, int m) { int[][] grid = new int[n][m]; for (int i = 0; i < n; i++) { char[] line = fr.next().toCharArray(); for (int j = 0; j < m; j++) grid[i][j] = line[j] - 48; } return grid; } } static class LCA { int[] height, first, segtree; ArrayList<Integer> euler; boolean[] visited; int n; LCA(ArrayList<Point>[] outFrom, int root) { n = outFrom.length; height = new int[n]; first = new int[n]; euler = new ArrayList<>(); visited = new boolean[n]; dfs(outFrom, root, 0); int m = euler.size(); segtree = new int[m * 4]; build(1, 0, m - 1); } void dfs(ArrayList<Point>[] outFrom, int node, int h) { visited[node] = true; height[node] = h; first[node] = euler.size(); euler.add(node); for (Point to : outFrom[node]) { if (!visited[(int) to.x]) { dfs(outFrom, (int) to.x, h + 1); euler.add(node); } } } void build(int node, int b, int e) { if (b == e) { segtree[node] = euler.get(b); } else { int mid = (b + e) / 2; build(node << 1, b, mid); build(node << 1 | 1, mid + 1, e); int l = segtree[node << 1], r = segtree[node << 1 | 1]; segtree[node] = (height[l] < height[r]) ? l : r; } } int query(int node, int b, int e, int L, int R) { if (b > R || e < L) return -1; if (b >= L && e <= R) return segtree[node]; int mid = (b + e) >> 1; int left = query(node << 1, b, mid, L, R); int right = query(node << 1 | 1, mid + 1, e, L, R); if (left == -1) return right; if (right == -1) return left; return height[left] < height[right] ? left : right; } int lca(int u, int v) { int left = first[u], right = first[v]; if (left > right) { int temp = left; left = right; right = temp; } return query(1, 0, euler.size() - 1, left, right); } } static class FenwickTree { long[] array; // 1-indexed array, In this array We save cumulative information to perform efficient range queries and updates public FenwickTree(int size) { array = new long[size + 1]; } public long rsq(int ind) { assert ind > 0; long sum = 0; while (ind > 0) { sum += array[ind]; //Extracting the portion up to the first significant one of the binary representation of 'ind' and decrementing ind by that number ind -= ind & (-ind); } return sum; } public long rsq(int a, int b) { assert b >= a && a > 0 && b > 0; return rsq(b) - rsq(a - 1); } public void update(int ind, long value) { assert ind > 0; while (ind < array.length) { array[ind] = value; //Extracting the portion up to the first significant one of the binary representation of 'ind' and incrementing ind by that number ind += ind & (-ind); } } public int size() { return array.length - 1; } } static final class RedBlackCountSet { // Manual implementation of RB-BST for C++ PBDS functionality. // Modification required according to requirements. // Colors for Nodes: private static final boolean RED = true; private static final boolean BLACK = false; // Pointer to the root: private Node root; // Public constructor: public RedBlackCountSet() { root = null; } // Node class for storing key value pairs: private class Node { long key; long value; Node left, right; boolean color; long size; // Size of the subtree rooted at that node. public Node(long key, long value, boolean color) { this.key = key; this.value = value; this.left = this.right = null; this.color = color; this.size = value; } } /***** Invariant Maintenance functions: *****/ // When a temporary 4 node is formed: private Node flipColors(Node node) { node.left.color = node.right.color = BLACK; node.color = RED; return node; } // When there's a right leaning red link and it is not a 3 node: private Node rotateLeft(Node node) { Node rn = node.right; node.right = rn.left; rn.left = node; rn.color = node.color; node.color = RED; return rn; } // When there are 2 red links in a row: private Node rotateRight(Node node) { Node ln = node.left; node.left = ln.right; ln.right = node; ln.color = node.color; node.color = RED; return ln; } /***** Invariant Maintenance functions end *****/ // Public functions: public void put(long key) { root = put(root, key); root.color = BLACK; // One of the invariants. } private Node put(Node node, long key) { // Standard insertion procedure: if (node == null) return new Node(key, 1, RED); // Recursing: int cmp = Long.compare(key, node.key); if (cmp < 0) node.left = put(node.left, key); else if (cmp > 0) node.right = put(node.right, key); else node.value++; // Invariant maintenance: if (node.left != null && node.right != null) { if (node.right.color = RED && node.left.color == BLACK) node = rotateLeft(node); if (node.left.color == RED && node.left.left.color == RED) node = rotateRight(node); if (node.left.color == RED && node.right.color == RED) node = flipColors(node); } // Property maintenance: node.size = node.value + size(node.left) + size(node.right); return node; } private long size(Node node) { if (node == null) return 0; else return node.size; } public long rank(long key) { return rank(root, key); } // Modify according to requirements. private long rank(Node node, long key) { if (node == null) return 0; int cmp = Long.compare(key, node.key); if (cmp < 0) return rank(node.left, key); else if (cmp > 0) return node.value + size(node.left) + rank(node.right, key); else return node.value + size(node.left); } } static class SegmentTree { private Node[] heap; private int[] array; private int size; public SegmentTree(int[] array) { this.array = Arrays.copyOf(array, array.length); //The max size of this array is about 2 * 2 ^ log2(n) + 1 size = (int) (2 * Math.pow(2.0, Math.floor((Math.log((double) array.length) / Math.log(2.0)) + 1))); heap = new Node[size]; build(1, 0, array.length); } public int size() { return array.length; } //Initialize the Nodes of the Segment tree private void build(int v, int from, int size) { heap[v] = new Node(); heap[v].from = from; heap[v].to = from + size - 1; if (size == 1) { heap[v].sum = array[from]; heap[v].min = array[from]; } else { //Build childs build(2 * v, from, size / 2); build(2 * v + 1, from + size / 2, size - size / 2); heap[v].sum = heap[2 * v].sum + heap[2 * v + 1].sum; //min = min of the children heap[v].min = Math.min(heap[2 * v].min, heap[2 * v + 1].min); } } public int rsq(int from, int to) { return rsq(1, from, to); } private int rsq(int v, int from, int to) { Node n = heap[v]; //If you did a range update that contained this node, you can infer the Sum without going down the tree if (n.pendingVal != null && contains(n.from, n.to, from, to)) { return (to - from + 1) * n.pendingVal; } if (contains(from, to, n.from, n.to)) { return heap[v].sum; } if (intersects(from, to, n.from, n.to)) { propagate(v); int leftSum = rsq(2 * v, from, to); int rightSum = rsq(2 * v + 1, from, to); return leftSum + rightSum; } return 0; } public int rMinQ(int from, int to) { return rMinQ(1, from, to); } private int rMinQ(int v, int from, int to) { Node n = heap[v]; //If you did a range update that contained this node, you can infer the Min value without going down the tree if (n.pendingVal != null && contains(n.from, n.to, from, to)) { return n.pendingVal; } if (contains(from, to, n.from, n.to)) { return heap[v].min; } if (intersects(from, to, n.from, n.to)) { propagate(v); int leftMin = rMinQ(2 * v, from, to); int rightMin = rMinQ(2 * v + 1, from, to); return Math.min(leftMin, rightMin); } return Integer.MAX_VALUE; } public void update(int from, int to, int value) { update(1, from, to, value); } private void update(int v, int from, int to, int value) { //The Node of the heap tree represents a range of the array with bounds: [n.from, n.to] Node n = heap[v]; if (contains(from, to, n.from, n.to)) { change(n, value); } if (n.size() == 1) return; if (intersects(from, to, n.from, n.to)) { propagate(v); update(2 * v, from, to, value); update(2 * v + 1, from, to, value); n.sum = heap[2 * v].sum + heap[2 * v + 1].sum; n.min = Math.min(heap[2 * v].min, heap[2 * v + 1].min); } } //Propagate temporal values to children private void propagate(int v) { Node n = heap[v]; if (n.pendingVal != null) { change(heap[2 * v], n.pendingVal); change(heap[2 * v + 1], n.pendingVal); n.pendingVal = null; //unset the pending propagation value } } //Save the temporal values that will be propagated lazily private void change(Node n, int value) { n.pendingVal = value; n.sum = n.size() * value; n.min = value; array[n.from] = value; } //Test if the range1 contains range2 private boolean contains(int from1, int to1, int from2, int to2) { return from2 >= from1 && to2 <= to1; } //check inclusive intersection, test if range1[from1, to1] intersects range2[from2, to2] private boolean intersects(int from1, int to1, int from2, int to2) { return from1 <= from2 && to1 >= from2 // (.[..)..] or (.[...]..) || from1 >= from2 && from1 <= to2; // [.(..]..) or [..(..).. } //The Node class represents a partition range of the array. static class Node { int sum; int min; //Here We store the value that will be propagated lazily Integer pendingVal = null; int from; int to; int size() { return to - from + 1; } } } @SuppressWarnings("serial") static class CountMap<T> extends TreeMap<T, Integer>{ CountMap() { } CountMap(T[] arr) { this.putCM(arr); } public Integer putCM(T key) { if (super.containsKey(key)) { return super.put(key, super.get(key) + 1); } else { return super.put(key, 1); } } public Integer removeCM(T key) { Integer count = super.get(key); if (count == null) return -1; if (count == 1) return super.remove(key); else return super.put(key, super.get(key) - 1); } public Integer getCM(T key) { Integer count = super.get(key); if (count == null) return 0; return count; } public void putCM(T[] arr) { for (T l : arr) this.putCM(l); } } static class Point implements Comparable<Point> { long x; long y; long id; Point() { x = y = id = 0; } Point(Point p) { this.x = p.x; this.y = p.y; this.id = p.id; } Point(long a, long b, long id) { this.x = a; this.y = b; this.id = id; } Point(long a, long b) { this.x = a; this.y = b; } @Override public int compareTo(Point o) { if (this.x < o.x) return -1; if (this.x > o.x) return 1; if (this.y < o.y) return -1; if (this.y > o.y) return 1; return 0; } public boolean equals(Point that) { return this.compareTo(that) == 0; } } static int longestPrefixPalindromeLen(char[] s) { int n = s.length; StringBuilder sb = new StringBuilder(); for (int i = 0; i < n; i++) sb.append(s[i]); StringBuilder sb2 = new StringBuilder(sb); sb.append('^'); sb.append(sb2.reverse()); // out.println(sb.toString()); char[] newS = sb.toString().toCharArray(); int m = newS.length; int[] pi = piCalcKMP(newS); return pi[m - 1]; } static int KMPNumOcc(char[] text, char[] pat) { int n = text.length; int m = pat.length; char[] patPlusText = new char[n + m + 1]; for (int i = 0; i < m; i++) patPlusText[i] = pat[i]; patPlusText[m] = '^'; // Seperator for (int i = 0; i < n; i++) patPlusText[m + i] = text[i]; int[] fullPi = piCalcKMP(patPlusText); int answer = 0; for (int i = 0; i < n + m + 1; i++) if (fullPi[i] == m) answer++; return answer; } static int[] piCalcKMP(char[] s) { int n = s.length; int[] pi = new int[n]; for (int i = 1; i < n; i++) { int j = pi[i - 1]; while (j > 0 && s[i] != s[j]) j = pi[j - 1]; if (s[i] == s[j]) j++; pi[i] = j; } return pi; } static String toBinaryString(long num, int bits) { StringBuilder sb = new StringBuilder(Long.toBinaryString(num)); sb.reverse(); for (int i = sb.length(); i < bits; i++) sb.append('0'); return sb.reverse().toString(); } static long modDiv(long a, long b) { return mod(a * power(b, gigamod - 2, gigamod)); } static void coprimeGenerator(int m, int n, ArrayList<Point> coprimes, int limit, int numCoprimes) { if (m > limit) return; if (m <= limit && n <= limit) coprimes.add(new Point(m, n)); if (coprimes.size() > numCoprimes) return; coprimeGenerator(2 * m - n, m, coprimes, limit, numCoprimes); coprimeGenerator(2 * m + n, m, coprimes, limit, numCoprimes); coprimeGenerator(m + 2 * n, n, coprimes, limit, numCoprimes); } static long hash(long i) { return (i * 2654435761L % gigamod); } static long hash2(long key) { long h = Long.hashCode(key); h ^= (h >>> 20) ^ (h >>> 12) ^ (h >>> 7) ^ (h >>> 4); return h & (gigamod-1); } static int mapTo1D(int row, int col, int n, int m) { // Maps elements in a 2D matrix serially to elements in // a 1D array. return row * m + col; } static int[] mapTo2D(int idx, int n, int m) { // Inverse of what the one above does. int[] rnc = new int[2]; rnc[0] = idx / m; rnc[1] = idx % m; return rnc; } static double distance(Point p1, Point p2) { return Math.sqrt(Math.pow(p2.y-p1.y, 2) + Math.pow(p2.x-p1.x, 2)); } static Map<Integer, Integer> smolNumPrimeFactorization(int num) { if (smallestFactorOf == null) primeGenerator(200001); CountMap<Integer> fnps = new CountMap<>(); while (num != 1) { fnps.putCM(smallestFactorOf[num]); num /= smallestFactorOf[num]; } return fnps; } static HashMap<Long, Integer> primeFactorization(long num) { // Returns map of factor and its power in the number. HashMap<Long, Integer> map = new HashMap<>(); while (num % 2 == 0) { num /= 2; Integer pwrCnt = map.get(2L); map.put(2L, pwrCnt != null ? pwrCnt + 1 : 1); } for (long i = 3; i * i <= num; i += 2) { while (num % i == 0) { num /= i; Integer pwrCnt = map.get(i); map.put(i, pwrCnt != null ? pwrCnt + 1 : 1); } } // If the number is prime, we have to add it to the // map. if (num != 1) map.put(num, 1); return map; } static HashSet<Long> divisors(long num) { HashSet<Long> divisors = new HashSet<Long>(); divisors.add(1L); divisors.add(num); for (long i = 2; i * i <= num; i++) { if (num % i == 0) { divisors.add(num/i); divisors.add(i); } } return divisors; } static int bsearch(int[] arr, int val, int lo, int hi) { // Returns the index of the first element // larger than or equal to val. int idx = -1; while (lo <= hi) { int mid = lo + (hi - lo)/2; if (arr[mid] >= val) { idx = mid; hi = mid - 1; } else lo = mid + 1; } return idx; } static int bsearch(long[] arr, long val, int lo, int hi) { int idx = -1; while (lo <= hi) { int mid = lo + (hi - lo)/2; if (arr[mid] >= val) { idx = mid; hi = mid - 1; } else lo = mid + 1; } return idx; } static int bsearch(long[] arr, long val, int lo, int hi, boolean sMode) { // Returns the index of the last element // smaller than or equal to val. int idx = -1; while (lo <= hi) { int mid = lo + (hi - lo)/2; if (arr[mid] >= val) { hi = mid - 1; } else { idx = mid; lo = mid + 1; } } return idx; } static int bsearch(int[] arr, long val, int lo, int hi, boolean sMode) { int idx = -1; while (lo <= hi) { int mid = lo + (hi - lo)/2; if (arr[mid] > val) { hi = mid - 1; } else { idx = mid; lo = mid + 1; } } return idx; } static long factorial(long n) { if (n <= 1) return 1; long factorial = 1; for (int i = 1; i <= n; i++) factorial = mod(factorial * i); return factorial; } static long factorialInDivision(long a, long b) { if (a == b) return 1; if (b < a) { long temp = a; a = b; b = temp; } long factorial = 1; for (long i = a + 1; i <= b; i++) factorial = mod(factorial * i); return factorial; } static long nCr(long n, long r, long[] fac) { long p = 998244353; // Base case if (r == 0) return 1; // Fill factorial array so that we // can find all factorial of r, n // and n-r /*long fac[] = new long[(int)n + 1]; fac[0] = 1; for (int i = 1; i <= n; i++) fac[i] = fac[i - 1] * i % p;*/ return (fac[(int)n] * modInverse(fac[(int)r], p) % p * modInverse(fac[(int)n - (int)r], p) % p) % p; } static long modInverse(long n, long p) { return power(n, p - 2, p); } static long power(long x, long y, long p) { long res = 1; // Initialize result x = x % p; // Update x if it is more than or // equal to p while (y > 0) { // If y is odd, multiply x with result if ((y & 1)==1) res = (res * x) % p; // y must be even now y = y >> 1; // y = y/2 x = (x * x) % p; } return res; } static long nPr(long n, long r) { return factorialInDivision(n, n - r); } static int logk(long n, long k) { return (int)(Math.log(n) / Math.log(k)); } static boolean[] primeGenerator(int upto) { // Sieve of Eratosthenes: isPrime = new boolean[upto + 1]; smallestFactorOf = new int[upto + 1]; Arrays.fill(smallestFactorOf, 1); Arrays.fill(isPrime, true); isPrime[1] = isPrime[0] = false; for (long i = 2; i < upto + 1; i++) if (isPrime[(int) i]) { smallestFactorOf[(int) i] = (int) i; // Mark all the multiples greater than or equal // to the square of i to be false. for (long j = i; j * i < upto + 1; j++) { if (isPrime[(int) j * (int) i]) { isPrime[(int) j * (int) i] = false; smallestFactorOf[(int) j * (int) i] = (int) i; } } } return isPrime; } static long gcd(long a, long b) { if (b == 0) { return a; } else { return gcd(b, a % b); } } static int gcd(int a, int b) { if (b == 0) { return a; } else { return gcd(b, a % b); } } static long gcd(long[] arr) { int n = arr.length; long gcd = arr[0]; for (int i = 1; i < n; i++) { gcd = gcd(gcd, arr[i]); } return gcd; } static int gcd(int[] arr) { int n = arr.length; int gcd = arr[0]; for (int i = 1; i < n; i++) { gcd = gcd(gcd, arr[i]); } return gcd; } static long lcm(long[] arr) { long lcm = arr[0]; int n = arr.length; for (int i = 1; i < n; i++) { lcm = (lcm * arr[i]) / gcd(lcm, arr[i]); } return lcm; } static long lcm(long a, long b) { return (a * b)/gcd(a, b); } static boolean less(int a, int b) { return a < b ? true : false; } static boolean isSorted(int[] a) { for (int i = 1; i < a.length; i++) { if (less(a[i], a[i - 1])) return false; } return true; } static boolean isSorted(long[] a) { for (int i = 1; i < a.length; i++) { if (a[i] <= a[i - 1]) return false; } return true; } static void swap(int[] a, int i, int j) { int temp = a[i]; a[i] = a[j]; a[j] = temp; } static void swap(long[] a, int i, int j) { long temp = a[i]; a[i] = a[j]; a[j] = temp; } static void swap(double[] a, int i, int j) { double temp = a[i]; a[i] = a[j]; a[j] = temp; } static void swap(char[] a, int i, int j) { char temp = a[i]; a[i] = a[j]; a[j] = temp; } static void sort(int[] arr) { shuffleArray(arr, 0, arr.length - 1); Arrays.sort(arr); } static void sort(char[] arr) { shuffleArray(arr, 0, arr.length - 1); Arrays.sort(arr); } static void sort(long[] arr) { shuffleArray(arr, 0, arr.length - 1); Arrays.sort(arr); } static void sort(double[] arr) { shuffleArray(arr, 0, arr.length - 1); Arrays.sort(arr); } static void reverseSort(int[] arr) { shuffleArray(arr, 0, arr.length - 1); Arrays.sort(arr); int n = arr.length; for (int i = 0; i < n/2; i++) swap(arr, i, n - 1 - i); } static void reverseSort(char[] arr) { shuffleArray(arr, 0, arr.length - 1); Arrays.sort(arr); int n = arr.length; for (int i = 0; i < n/2; i++) swap(arr, i, n - 1 - i); } static void reverse(char[] arr) { int n = arr.length; for (int i = 0; i < n / 2; i++) swap(arr, i, n - 1 - i); } static void reverseSort(long[] arr) { shuffleArray(arr, 0, arr.length - 1); Arrays.sort(arr); int n = arr.length; for (int i = 0; i < n/2; i++) swap(arr, i, n - 1 - i); } static void reverseSort(double[] arr) { shuffleArray(arr, 0, arr.length - 1); Arrays.sort(arr); int n = arr.length; for (int i = 0; i < n/2; i++) swap(arr, i, n - 1 - i); } static void shuffleArray(long[] arr, int startPos, int endPos) { Random rnd = new Random(); for (int i = startPos; i < endPos; ++i) { long tmp = arr[i]; int randomPos = i + rnd.nextInt(endPos - i); arr[i] = arr[randomPos]; arr[randomPos] = tmp; } } static void shuffleArray(int[] arr, int startPos, int endPos) { Random rnd = new Random(); for (int i = startPos; i < endPos; ++i) { int tmp = arr[i]; int randomPos = i + rnd.nextInt(endPos - i); arr[i] = arr[randomPos]; arr[randomPos] = tmp; } } static void shuffleArray(double[] arr, int startPos, int endPos) { Random rnd = new Random(); for (int i = startPos; i < endPos; ++i) { double tmp = arr[i]; int randomPos = i + rnd.nextInt(endPos - i); arr[i] = arr[randomPos]; arr[randomPos] = tmp; } } static void shuffleArray(char[] arr, int startPos, int endPos) { Random rnd = new Random(); for (int i = startPos; i < endPos; ++i) { char tmp = arr[i]; int randomPos = i + rnd.nextInt(endPos - i); arr[i] = arr[randomPos]; arr[randomPos] = tmp; } } static boolean isPrime(long n) { if (n <= 1) return false; if (n <= 3) return true; if (n % 2 == 0 || n % 3 == 0) return false; for (long i = 5; i * i <= n; i = i + 6) if (n % i == 0 || n % (i + 2) == 0) return false; return true; } static String toString(int[] dp) { StringBuilder sb = new StringBuilder(); for (int i = 0; i < dp.length; i++) sb.append(dp[i] + " "); return sb.toString(); } static String toString(boolean[] dp) { StringBuilder sb = new StringBuilder(); for (int i = 0; i < dp.length; i++) sb.append(dp[i] + " "); return sb.toString(); } static String toString(long[] dp) { StringBuilder sb = new StringBuilder(); for (int i = 0; i < dp.length; i++) sb.append(dp[i] + " "); return sb.toString(); } static String toString(char[] dp) { StringBuilder sb = new StringBuilder(); for (int i = 0; i < dp.length; i++) sb.append(dp[i] + ""); return sb.toString(); } static String toString(int[][] dp) { StringBuilder sb = new StringBuilder(); for (int i = 0; i < dp.length; i++) { for (int j = 0; j < dp[i].length; j++) { sb.append(dp[i][j] + " "); } sb.append('\n'); } return sb.toString(); } static String toString(long[][] dp) { StringBuilder sb = new StringBuilder(); for (int i = 0; i < dp.length; i++) { for (int j = 0; j < dp[i].length; j++) { sb.append(dp[i][j] + " "); } sb.append('\n'); } return sb.toString(); } static String toString(double[][] dp) { StringBuilder sb = new StringBuilder(); for (int i = 0; i < dp.length; i++) { for (int j = 0; j < dp[i].length; j++) { sb.append(dp[i][j] + " "); } sb.append('\n'); } return sb.toString(); } static String toString(char[][] dp) { StringBuilder sb = new StringBuilder(); for (int i = 0; i < dp.length; i++) { for (int j = 0; j < dp[i].length; j++) { sb.append(dp[i][j] + " "); } sb.append('\n'); } return sb.toString(); } static long mod(long a, long m) { return (a%m + m) % m; } static long mod(long num) { return (num % gigamod + gigamod) % gigamod; } } // NOTES: // ASCII VALUE OF 'A': 65 // ASCII VALUE OF 'a': 97 // Range of long: 9 * 10^18 // ASCII VALUE OF '0': 48 // Primes upto 'n' can be given by (n / (logn)).
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 8
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
c9a98e1c78f0433965f1e521a134b4e8
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.DataInputStream; import java.io.FileInputStream; import java.io.IOException; import java.io.InputStreamReader; import java.util.*; import java.util.StringTokenizer; public class Odd_Grasshopper { static class Reader { final private int BUFFER_SIZE = 1 << 16; private DataInputStream din; private byte[] buffer; private int bufferPointer, bytesRead; public Reader() { din = new DataInputStream(System.in); buffer = new byte[BUFFER_SIZE]; bufferPointer = bytesRead = 0; } public Reader(String file_name) throws IOException { din = new DataInputStream( new FileInputStream(file_name)); buffer = new byte[BUFFER_SIZE]; bufferPointer = bytesRead = 0; } public String readLine() throws IOException { byte[] buf = new byte[64]; // line length int cnt = 0, c; while ((c = read()) != -1) { if (c == '\n') { if (cnt != 0) { break; } else { continue; } } buf[cnt++] = (byte)c; } return new String(buf, 0, cnt); } public int nextInt() throws IOException { int ret = 0; byte c = read(); while (c <= ' ') { c = read(); } boolean neg = (c == '-'); if (neg) { c = read(); } do { ret = ret * 10 + c - '0'; } while ((c = read()) >= '0' && c <= '9'); if (neg) { return -ret; } return ret; } public long nextLong() throws IOException { long ret = 0; byte c = read(); while (c <= ' ') { c = read(); } boolean neg = (c == '-'); if (neg) { c = read(); } do { ret = ret * 10 + c - '0'; } while ((c = read()) >= '0' && c <= '9'); if (neg) { return -ret; } return ret; } public double nextDouble() throws IOException { double ret = 0, div = 1; byte c = read(); while (c <= ' ') { c = read(); } boolean neg = (c == '-'); if (neg) { c = read(); } do { ret = ret * 10 + c - '0'; } while ((c = read()) >= '0' && c <= '9'); if (c == '.') { while ((c = read()) >= '0' && c <= '9') { ret += (c - '0') / (div *= 10); } } if (neg) { return -ret; } return ret; } private void fillBuffer() throws IOException { bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE); if (bytesRead == -1) { buffer[0] = -1; } } private byte read() throws IOException { if (bufferPointer == bytesRead) { fillBuffer(); } return buffer[bufferPointer++]; } public void close() throws IOException { if (din == null) { return; } din.close(); } } public static void main(String Args[]) throws java.lang.Exception { try { Scanner obj = new Scanner (System.in); int t = obj.nextInt(); while (t > 0) { t--; long x = obj.nextLong(); long n = obj.nextLong(); if (n % 4 == 0) { System.out.println (x); } else if (n % 4 == 1) { if (x % 2 == 0) { System.out.println (x - n); } else { System.out.println (x + n); } } else if (n % 4 == 2) { if (x % 2 == 0) { System.out.println (x + 1); } else { System.out.println (x - 1); } } else { if (x % 2 == 0) { System.out.println (x + n + 1); } else { System.out.println (x - n - 1); } } } }catch(Exception e){ return; } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 8
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
128ff7b2a0b8e597af7741f160c25008
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.*; import java.util.*; public class B { public static void main(String[] args) throws IOException { Scanner sc = new Scanner(System.in); PrintWriter o = new PrintWriter(System.out); int t = sc.nextInt(); while (t-- > 0) { long x = sc.nextLong(),n = sc.nextLong(); long ans = 0l; if (x%2 == 1 || x%2 == -1) { if (n%4 == 0) { ans = x; }else if (n%4 == 1) { ans = x+n; }else if (n%4 == 2) { ans = x-1; }else { ans = x-n-1; } }else { if (n%4 == 0) { ans = x; }else if (n%4 == 1) { ans = x-n; }else if (n%4 == 2) { ans = x+1; }else { ans = x+n+1; } } o.println(ans); } o.close(); } static int gcd(int a, int b) { return b == 0 ? a : gcd(b, a % b); } static final Random random = new Random(); static void shuffleSort(int[] a) { int n = a.length; for (int i = 0; i < n; i++) { int r = random.nextInt(n), temp = a[r]; a[r] = a[i]; a[i] = temp; } Arrays.sort(a); } static void shuffleSort(long[] a) { int n = a.length; for (int i = 0; i < n; i++) { int r = random.nextInt(n); long temp = a[r]; a[r] = a[i]; a[i] = temp; } Arrays.sort(a); } static void sort(int[] a) { ArrayList<Integer> l = new ArrayList<>(); for (int i : a) l.add(i); Collections.sort(l); for (int i = 0; i < a.length; i++) a[i] = l.get(i); } static class Scanner { StringTokenizer st; BufferedReader br; public Scanner(InputStream s) { br = new BufferedReader(new InputStreamReader(s)); } public String next() throws IOException { while (st == null || !st.hasMoreTokens()) st = new StringTokenizer(br.readLine()); return st.nextToken(); } public int nextInt() throws IOException { return Integer.parseInt(next()); } public long nextLong() throws IOException { return Long.parseLong(next()); } public String nextLine() throws IOException { return br.readLine(); } public double nextDouble() throws IOException { String x = next(); StringBuilder sb = new StringBuilder("0"); double res = 0, f = 1; boolean dec = false, neg = false; int start = 0; if (x.charAt(0) == '-') { neg = true; start++; } for (int i = start; i < x.length(); i++) if (x.charAt(i) == '.') { res = Long.parseLong(sb.toString()); sb = new StringBuilder("0"); dec = true; } else { sb.append(x.charAt(i)); if (dec) f *= 10; } res += Long.parseLong(sb.toString()) / f; return res * (neg ? -1 : 1); } public boolean ready() throws IOException { return br.ready(); } int[] readArray(int n) throws IOException { int[] a = new int[n]; for (int i = 0; i < n; i++) a[i] = nextInt(); return a; } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 8
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
dd1d60692ba86a46779b32e2fe0f24d0
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.*; import java.util.*; public class B { public static void main(String[] args) throws IOException { Scanner sc = new Scanner(System.in); PrintWriter out = new PrintWriter(System.out); int t = sc.nextInt(); while (t-- > 0) { long x = sc.nextLong(), n = sc.nextLong(); long inc; if (n % 4 == 0) inc = 0; else if (n % 4 == 1) inc = -n; else if (n % 2 == 0) inc = 1; else inc = n+1; out.println(x % 2 == 0 ? x + inc : x - inc); } out.close(); } static final Random random = new Random(); static void shuffleSort(int[] a) { int n = a.length; for (int i = 0; i < n; i++) { int r = random.nextInt(n), temp = a[r]; a[r] = a[i]; a[i] = temp; } Arrays.sort(a); } static void shuffleSort(long[] a) { int n = a.length; for (int i = 0; i < n; i++) { int r = random.nextInt(n); long temp = a[r]; a[r] = a[i]; a[i] = temp; } Arrays.sort(a); } static void sort(int[] a) { ArrayList<Integer> l = new ArrayList<>(); for (int i : a) l.add(i); Collections.sort(l); for (int i = 0; i < a.length; i++) a[i] = l.get(i); } static class Scanner { StringTokenizer st; BufferedReader br; public Scanner(InputStream s){ br = new BufferedReader(new InputStreamReader(s));} public String next() throws IOException { while (st == null || !st.hasMoreTokens()) st = new StringTokenizer(br.readLine()); return st.nextToken(); } public int nextInt() throws IOException {return Integer.parseInt(next());} public long nextLong() throws IOException {return Long.parseLong(next());} public String nextLine() throws IOException {return br.readLine();} public double nextDouble() throws IOException { String x = next(); StringBuilder sb = new StringBuilder("0"); double res = 0, f = 1; boolean dec = false, neg = false; int start = 0; if(x.charAt(0) == '-') { neg = true; start++; } for(int i = start; i < x.length(); i++) if(x.charAt(i) == '.') { res = Long.parseLong(sb.toString()); sb = new StringBuilder("0"); dec = true; } else { sb.append(x.charAt(i)); if(dec) f *= 10; } res += Long.parseLong(sb.toString()) / f; return res * (neg?-1:1); } public boolean ready() throws IOException {return br.ready();} int[] readArray(int n) throws IOException { int[] a=new int[n]; for (int i=0; i<n; i++) a[i] = nextInt(); return a; } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 8
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
17a673efa5210e5c640cf4cecc5da325
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.FileNotFoundException; import java.util.Scanner; public class Rough11 { public static long customCeil(long dividend, long divisor) { if (dividend % divisor != 0) { return (dividend/divisor) + 1; } return dividend / divisor; } public static void main(String[] args) throws FileNotFoundException { // System.setIn(new FileInputStream("/Users/development/DevWork/Java/IdeaProjects/" + // "JavaCompetitiveProgramming/src/com/company/input.txt")); Scanner input = new Scanner(System.in); int t = input.nextInt(); input.nextLine(); while ((t--) > 0) { long initPos = input.nextLong(), jumps = input.nextLong(), ans = 0; if (jumps % 4 == 0) { ans = initPos; } else if (jumps % 4 == 1) { if (initPos % 2 == 0) { ans = initPos - jumps; } else { ans = initPos + jumps; } } else if (jumps % 4 == 2) { if (initPos % 2 == 0) { ans = initPos + 1; } else { ans = initPos - 1; } } else { if (initPos % 2 == 0) { ans = initPos + 1 + jumps; } else { ans = initPos - 1 - jumps; } } //System.out.print("ans = "); System.out.println(ans); } input.close(); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 8
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
bd892eac80a09ecde7b4a7e6a95a8018
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.io.*; public class Balabizo { static int GCD(int a , int b){ if(b == 0) return a; return GCD(b , a%b); } public static void main(String[] args) throws IOException { Scanner sc = new Scanner(System.in); PrintWriter pw = new PrintWriter(System.out); int tt = sc.nextInt(); while(tt-->0){ long x = sc.nextLong() , n = sc.nextLong(); if(n%4 == 0) pw.println(x); else if(n%4 == 1) { if(x%2 == 0) pw.println(x - n); else pw.println(x + n); } else if(n%4 == 2) { if(x%2 == 0) pw.println(x + 1); else pw.println(x - 1); } else { if(x%2 == 0) pw.println(x + n + 1); else pw.println(x - n - 1); } } pw.flush(); } static class Scanner { StringTokenizer st; BufferedReader br; public Scanner(InputStream s) { br = new BufferedReader(new InputStreamReader(s)); } public Scanner(String file) throws IOException { br = new BufferedReader(new FileReader(file)); } public Scanner(FileReader r) { br = new BufferedReader(r); } public String next() throws IOException { while (st == null || !st.hasMoreTokens()) st = new StringTokenizer(br.readLine()); return st.nextToken(); } public String readAllLines(BufferedReader reader) throws IOException { StringBuilder content = new StringBuilder(); String line; while ((line = reader.readLine()) != null) { content.append(line); content.append(System.lineSeparator()); } return content.toString(); } public int nextInt() throws IOException { return Integer.parseInt(next()); } public long nextLong() throws IOException { return Long.parseLong(next()); } public String nextLine() throws IOException { return br.readLine(); } public double nextDouble() throws IOException { String x = next(); StringBuilder sb = new StringBuilder("0"); double res = 0, f = 1; boolean dec = false, neg = false; int start = 0; if (x.charAt(0) == '-') { neg = true; start++; } for (int i = start; i < x.length(); i++) if (x.charAt(i) == '.') { res = Long.parseLong(sb.toString()); sb = new StringBuilder("0"); dec = true; } else { sb.append(x.charAt(i)); if (dec) f *= 10; } res += Long.parseLong(sb.toString()) / f; return res * (neg ? -1 : 1); } public long[] nextlongArray(int n) throws IOException { long[] a = new long[n]; for (int i = 0; i < n; i++) a[i] = nextLong(); return a; } public Long[] nextLongArray(int n) throws IOException { Long[] a = new Long[n]; for (int i = 0; i < n; i++) a[i] = nextLong(); return a; } public int[] nextIntArray(int n) throws IOException { int[] a = new int[n]; for (int i = 0; i < n; i++) a[i] = nextInt(); return a; } public Integer[] nextIntegerArray(int n) throws IOException { Integer[] a = new Integer[n]; for (int i = 0; i < n; i++) a[i] = nextInt(); return a; } public boolean ready() throws IOException { return br.ready(); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 8
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
4aee2be102286a144fb7deaf05895a65
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.lang.*; import java.io.*; /* Name of the class has to be "Main" only if the class is public. */ public class Codechef { static class FastReader { BufferedReader br; StringTokenizer st; public FastReader() { br = new BufferedReader( new InputStreamReader(System.in)); } String next() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } String nextLine() { String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } } public static void main (String[] args) throws java.lang.Exception { // your code goes here FastReader sc = new FastReader(); int t=sc.nextInt(); while(t-->0){ long x=sc.nextLong(); long n=sc.nextLong(); long ans=0; if(x%2==0){ if(n%4==0)ans=x; else if(n%4==1)ans=x-n; else if(n%4==2)ans=x+1; else ans=x+(n+1); } else{ if(n%4==0)ans=x; else if(n%4==1)ans=x+n; else if(n%4==2)ans=x-1; else ans=x-n-1; } System.out.println(ans); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
1046371f0fd4fd664d8fd36b3e184f6a
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
/* package codechef; // don't place package name! */ import java.util.*; import java.lang.*; import java.io.*; /* Name of the class has to be "Main" only if the class is public. */ public class Codechef { static class FastReader { BufferedReader br; StringTokenizer st; public FastReader() { br = new BufferedReader( new InputStreamReader(System.in)); } String next() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } String nextLine() { String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } } public static void main (String[] args) throws java.lang.Exception { // your code goes here FastReader sc = new FastReader(); int t = sc.nextInt(); while(t-->0){ long x = sc.nextLong(); long n = sc.nextLong(); if(x%2==0){ if(n%4==0) System.out.println(x); else if(n%4==2) System.out.println(x+1); else if(n%4==3) System.out.println(x+n+1); else System.out.println(x-n); }else{ if(n%4==0) System.out.println(x); else if(n%4==2) System.out.println(x-1); else if(n%4==3) System.out.println(x-n-1); else System.out.println(x+n); } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
ebb31bc394166fb2fa38815f63844c11
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class OddGrasshopper { static Scanner sc = new Scanner(System.in); public static void OGP(long start, long times) { if(times/4==0 && times>4) { System.out.println(start); } else { for(long i = ((times/4)*4)+1; i<=times; i++) { if(start%2!=0){ start+=i; } else { start-=i; } } System.out.println(start); } } public static void main (String args[]) { int t = sc.nextInt(); while(t-->0) { long x = sc.nextLong(); long y = sc.nextLong(); OGP(x, y); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
9b338b3fdccda8ef5326a4a7e08b2cbe
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.ArrayList; import java.util.List; import java.util.Scanner; /** * * @author Dell */ public class AA { public static void main(String[] args) { Scanner sc = new Scanner(System.in); int t = Integer.parseInt(sc.nextLine()); while (t-- > 0) { long x0 = sc.nextLong(); long n = sc.nextLong(); if(n == 0){ System.out.println(x0); continue; } long x1 = x0 % 2 == 0 ? x0 - 1 : x0 + 1; long i = 0; if (n > 1) { if (x1 % 2 != 0) { if (n % 2 != 0) { if ((n / 2) % 2 == 0) { x1 = x0 - n; } else { x1 = x0 + n + 1; } } else { if ((n / 2) % 2 == 0) { x1 = x0; } else { x1 = x0 + 1; } } } else { if (n % 2 == 0) { if ((n / 2) % 2 == 0) { x1 = x0; } else { x1 = x0 - 1; } } else { if ((n / 2) % 2 == 0) { x1 += (n - 1); } else { x1 = x0 - (n + 1); } } } } System.out.println(x1); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
00604c258bda350c77a0a9f60f550251
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner input = new Scanner(System.in); int total = input.nextInt(); for (int i = 0; i < total; i++) { long pos = input.nextLong(); long jumps = input.nextLong(); long answer = 0; if (pos % 2 == 0) { answer += 4 * ((jumps + 1) / 4); } else { answer -= 4 * ((jumps + 1) / 4); } long temp = pos + answer; for (long j = ((jumps + 1) / 4) * 4; j < jumps + 1; j++) { if (temp % 2 == 0) { temp -= j; } else { temp += j; } } System.out.println(temp); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
046e5d9ed24e25a57617d8cea2e600ac
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner in = new Scanner(System.in); int t = in.nextInt(); for(int j=0;j<t;j++) { long x = in.nextLong(); long n = in.nextLong(); for(long i=(n-(n%4)+1);i<=n;i++) { if(x%2==0) { x-=i; } else x+=i; } System.out.println(x); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
7354912ad438bdf49e16cbe9f482e7a8
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.io.*; public class cf1607B { public static void main(String[] args) { FastReader in = new FastReader(); int t = in.nextInt(); for (int i = 0; i < t; i++) { long x = in.nextLong(), n = in.nextLong(); int mod = (int) (n % 4); long d = 1; switch (mod){ case 0: d = 0; break; case 1: d = -n; break; case 2: d = 1; break; case 3: d = n + 1; break; } // long temp = x; // if (temp > Integer.MAX_VALUE){ // temp -= Integer.MAX_VALUE; // } if (x % 2 == 0){ System.out.println(x + d); } else { System.out.println(x - d); } } } static class FastReader { BufferedReader br; StringTokenizer st; public FastReader() { br = new BufferedReader( new InputStreamReader(System.in)); } String next() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } String nextLine() { String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
ae5f82b8bafb7e6f4c92b688348fd25f
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
/* package codechef; // don't place package name! */ import java.util.*; import java.lang.*; import java.io.*; /* Name of the class has to be "Main" only if the class is public. */ public class Codechef { public static void main (String[] args) throws java.lang.Exception { // your code goes here Scanner sc = new Scanner(System.in); int t = sc.nextInt(); while(t>0){ long co = sc.nextLong(); long jumps = sc.nextLong(); long res = 0; if(jumps%4 == 0) res = 0; else if(jumps%4 == 1) res = -jumps; else if(jumps%4 == 2) res = 1; else res = jumps+1; if(co%2 != 0){ System.out.println(co-res); }else{ System.out.println(co+res); } t= t-1; } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
59576b67fe6f88ea3cda4bd65879d855
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class B { public static void main(String[] args) { // TODO �Զ����ɵķ������ Scanner in = new Scanner(System.in); long t=in.nextLong(); for(int e=0;e<t;e++) { long x0= in.nextLong(); long n=in.nextLong(); if(n==0) { System.out.println(x0); continue; } long cur=0; int a=(int)n%4; if(a<0) { switch(a) { case -3:a=1;break; case -2:a=2;break; case -1:a=3;break; } } if(x0%2==0) { switch(a) { case 0:cur=x0;break; case 1:cur=x0-n;break; case 2:cur=x0+1;break; case 3:cur=x0+n+1;break; } } else { switch(a) { case 0:cur=x0;break; case 1:cur=x0+n;break; case 2:cur=x0-1;break; case 3:cur=x0-n-1;break; } } System.out.println(cur); } in.close(); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
ca6edfa0cc78ff4004af139ddea0bfc7
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner in = new Scanner(System.in); int t = in.nextInt(); for(int j=0;j<t;j++) { long x = in.nextLong(); long n = in.nextLong(); for(long i=(n-(n%4)+1);i<=n;i++) { if(x%2==0) { x-=i; } else x+=i; } System.out.println(x); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
f32e2559d142eb780280f201181c5593
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner in = new Scanner(System.in); int t = in.nextInt(); for(int j=0;j<t;j++) { long x = in.nextLong(); long n = in.nextLong(); for(long i=(n-(n%4)+1);i<=n;i++) { if(x%2==0) { x-=i; } else x+=i; } System.out.println(x); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
e752d18e51be1ed15fc88746e4011385
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner in = new Scanner(System.in); int t = in.nextInt(); for(int j=0;j<t;j++) { long x = in.nextLong(); long n = in.nextLong(); for(long i=(n-(n%4)+1);i<=n;i++) { if(x%2==0) { x-=i; } else x+=i; } System.out.println(x); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
b071b5243f0ecc513d296ed65fe6d4fe
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner in = new Scanner(System.in); int t = in.nextInt(); for(int j=0;j<t;j++) { long x = in.nextLong(); long n = in.nextLong(); for(long i=(n-(n%4)+1);i<=n;i++) { if(x%2==0) { x-=i; } else x+=i; } System.out.println(x); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
8f6435d8044c5a568e231531b3c3cbee
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; import java.util.function.Function; public class ProblemB { public static void main(String[] args) { Scanner scanner = new Scanner(System.in); int cases = Integer.parseInt(scanner.nextLine()); while (cases != 0) { cases--; long x0 = Long.parseLong(scanner.next()); long n = Long.parseLong(scanner.next()); scanner.nextLine(); Long mappingResult = mapping(value -> { if (value % 4 == 0) return 0L; if (value % 4 == 1) return value; if (value % 4 == 2) return -1L; else return -value - 1L; }, n); if (x0 % 2 == 0) { System.out.println(x0 - mappingResult); } else { System.out.println(x0 + mappingResult); } } } static Long mapping(Function<Long, Long> function, Long value) { return function.apply(value); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
8de62a42a28c403c116827809530947c
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class ProblemB { public static void main(String[] args) { Scanner scanner = new Scanner(System.in); int cases = Integer.parseInt(scanner.nextLine()); while (cases != 0) { cases--; long x0 = Long.parseLong(scanner.next()); long n = Long.parseLong(scanner.next()); scanner.nextLine(); if (n % 4 == 0) { System.out.println(x0); continue; } if (x0 % 2 == 0) { if (n % 4 == 1) { System.out.println(x0 - n); } else if (n % 4 == 2) { System.out.println(x0 + 1); } else { System.out.println(x0 + n + 1); } } else { if (n % 4 == 1) { System.out.println(x0 + n); } else if (n % 4 == 2) { System.out.println(x0 - 1); } else { System.out.println(x0 - n - 1); } } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
24d98f4ce30589781d75ef6ae8868e4e
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class ProblemB { public static void main(String[] args) { Scanner scanner = new Scanner(System.in); int cases = Integer.parseInt(scanner.nextLine()); while (cases != 0) { cases--; long x0 = Long.parseLong(scanner.next()); long n = Long.parseLong(scanner.next()); scanner.nextLine(); if (n % 4 == 0) { System.out.println(x0); continue; } if (x0 % 2 == 0) { if (n % 4 == 1) { System.out.println(x0 - n); continue; } if (n % 4 == 2) { System.out.println(x0 + 1); continue; } if (n % 4 == 3) { System.out.println(x0 + n + 1); continue; } } else { if (n % 4 == 1) { System.out.println(x0 + n); continue; } if (n % 4 == 2) { System.out.println(x0 - 1); continue; } if (n % 4 == 3) { System.out.println(x0 - n - 1); continue; } } System.out.println(x0); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
95d8eb97fb21b098ba504a3a019b69a2
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class OddGrasshopper { public static void main(String[] args) { Scanner ss = new Scanner(System.in); int n = ss.nextInt(); long x; long j; long k; for (int i = 0; i < n; i++) { x = ss.nextLong(); j = ss.nextLong(); if (x % 2 == 0) { if (j % 4 == 0 && x == 0) { x = x; } else if ((j - 1) % 4 == 0) { x = x - j; } else if ((j - 2) % 4 == 0) { x = x + 1; } else if ((j - 3) % 4 == 0) { x = x + 1 + j; } } else if(j == 0){ x = x; } else { if (j % 4 == 0 && x == 0) { x = x; } else if ((j - 1) % 4 == 0) { x = x + j; } else if ((j - 2) % 4 == 0) { x = x - 1; } else if ((j - 3) % 4 == 0) { x = x - 1 - j; } } System.out.println(x); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
b97e27b42e039c264a701580f6be5a56
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class oldgrasshopper { public static void main(String args[]) { Scanner Sc=new Scanner(System.in); int t=Sc.nextInt(); while(t-->0) { long x=Sc.nextLong(); long jumps=Sc.nextLong(); for(long i=(jumps-jumps%4+1);i<=jumps;i++) { if(x%2==0) { x-=i; } else { x+=i; } } System.out.println(x); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
ba06538df08e96024fa2d52a0a6d9406
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.*; import java.util.StringTokenizer; import static java.lang.Double.parseDouble; import static java.lang.Integer.parseInt; import static java.lang.Long.parseLong; import static java.lang.System.in; import static java.lang.System.out; public class Odd_Grasshopper { public static void main(String[] args) { try { FastReader in = new FastReader(); FastWriter out = new FastWriter(); int test = in.nextInt(); while (test > 0) { //Your Code Here long x = in.nextLong(); long n = in.nextLong(); out.println(calc(x, n)); test--; } out.close(); } catch (Exception e) { return; } } private static long calc(long x, long n) { if (n%4 == 0) { return x; } else if (1 + (n / 4) * 4 == n) { if (x % 2 == 0) { return x - n; } else { return x + n; } } else if (2 + (n / 4) * 4 == n) { if (x % 2 == 0) { return x + 1; } else { return x - 1; } } else if (3 + (n / 4) * 4 == n) { if (x % 2 == 0) { return (x + 1 + n); } else { return (x - 1 - n); } } else if (4 + (n / 4) * 4 == n) { return x; } else { return -1; } } public static void check(long x, long n) { } static class FastWriter { private final BufferedWriter bw; public FastWriter() { this.bw = new BufferedWriter(new OutputStreamWriter(out)); } public void print(Object object) throws IOException { bw.append("" + object); } public void println(Object object) throws IOException { print(object); bw.append("\n"); } public void close() throws IOException { bw.close(); } } public static class FastReader { BufferedReader br; StringTokenizer st; public FastReader() { br = new BufferedReader(new InputStreamReader(in)); } String next() { while (st == null || !st.hasMoreTokens()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return parseInt(next()); } long nextLong() { return parseLong(next()); } double nextDouble() { return parseDouble(next()); } String nextLine() { String str = ""; try { str = br.readLine().trim(); } catch (Exception e) { e.printStackTrace(); } return str; } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
f6c02bca97928750ab85bfeaee136797
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner scn = new Scanner(System.in); int t = scn.nextInt(); for(int k=0;k<t;k++){ long x = scn.nextLong(); long n = scn.nextLong(); long a=0; switch((int)(n%4)){ case 1: a = n; break; case 2: a = -1; break; case 3: a = -1*(n+1); } if(x%2==0){ x-=a; }else{ x+=a; } System.out.println(x); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
05193b36126c680d835d46b340de9c16
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class New{ public static void main(String[] args){ Scanner sc = new Scanner(System.in); int t = Integer.parseInt(sc.nextLine()); while(t-- != 0){ long x0 = sc.nextLong(); long n = sc.nextLong(); long [] l = new long[4]; for(int i=0; i<n%4;i++){ l[i] = n-i; } for(int i=0; i<l.length-1; i++){ for(int j=0; j<l.length-i-1;j++){ if (l[j] > l[j+1]) { // swap arr[j+1] and arr[j] long temp = l[j]; l[j] = l[j+1]; l[j+1] = temp; } } } for(int i=0; i<4; i++){ if(Math.abs(x0)%2 == 1){ x0 +=l[i]; } else{ x0 -= l[i]; } } System.out.println(x0); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
7714c9e30ad51d339a6e392c5e717df0
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class odd_grasshopper { public static void main(String[] args) { Scanner sc = new Scanner(System.in); long t = sc.nextLong(); for (long i = 0; i < t; i++) { long a = 0; long x0 = sc.nextLong(); long n = sc.nextLong(); // if (x0 % 2 == 0) { // a = x0 - 1; // } else { // a = x0 + 1; // } // for (long j = 2; j <= n; j++) { // if (a % 2 == 0) { // a = a - j; // } else { // a = a + j; // } // } // System.out.println("input " + x0 + " " + n); long x = n - (n % 4); long c = n % 4; if (c == 0) { System.out.println(x0); } else if (c == 1) { if (x0 % 2 == 0) { a = x0 - x - 1; } else { a = x0 + x + 1; } System.out.println(a); } else if (c == 2) { if (x0 % 2 == 0) { a = x0 - x - 1; a = a + x + 2; } else { a = x0 + x + 1; a = a - x - 2; } System.out.println(a); } else { if (x0 % 2 == 0) { a = x0 - x - 1; a = a + x + 2; a = a + x + 3; } else { a = x0 + x + 1; a = a - x - 2; a = a - x - 3; } System.out.println(a); } // System.out.println(a); } return; } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
6967c20b6879bf54d84aeb3cc94fb74b
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class odd_grasshopper { public static void main(String[] args) { Scanner sc = new Scanner(System.in); long t = sc.nextLong(); for (long i = 0; i < t; i++) { long a = 0; long x0 = sc.nextLong(); long n = sc.nextLong(); // if (x0 % 2 == 0) { // a = x0 - 1; // } else { // a = x0 + 1; // } // for (long j = 2; j <= n; j++) { // if (a % 2 == 0) { // a = a - j; // } else { // a = a + j; // } // } // System.out.println("input " + x0 + " " + n); long x = n - (n % 4); long c = n % 4; if (c == 0) { System.out.println(x0); } else if (c == 1) { if (x0 % 2 == 0) { a = x0 - x - 1; } else { a = x0 + x + 1; } System.out.println(a); } else if (c == 2) { if (x0 % 2 == 0) { a = x0 - x - 1; a = a + x + 2; } else { a = x0 + x + 1; a = a - x - 2; } System.out.println(a); } else { if (x0 % 2 == 0) { a = x0 - x - 1; a = a + x + 2; a = a + x + 3; } else { a = x0 + x + 1; a = a - x - 2; a = a - x - 3; } System.out.println(a); } // System.out.println(a); } return; } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
82c7a974ef91f9ee86870d30bb3d0e0e
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
//Abhishek Mallick import java.io.BufferedReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.text.CollationElementIterator; import java.util.*; import java.io.*; public class Main { public static void main(String[] args) throws IOException { try { /*--------------------------------------------------------------------------------------------------------------------------*/ // System.setIn(new FileInputStream("input.txt")); // System.setOut(new PrintStream(new FileOutputStream("output.txt"))); Scanner sc = new Scanner(System.in); int T; T=sc.nextInt(); for(int i=1;i<=T;i++) { long x,n; x=sc.nextLong(); n=sc.nextLong(); long a,b; a=n/4; b=n%4; long pos=0; if(x%2 == 0) { if(b == 0) pos=x; else if(b == 1) pos=x-(1+4*a); else if(b == 2) pos=x+1; else pos=x+4*(a+1); } // -1 // 1 // 11 // 110 // 190 // 9012345679 // -87611785637 // 1 // 0 else { if(b == 0) pos=x; else if(b == 1) pos=x+(1+4*a); else if(b == 2) pos=x-1; else pos=x-4*(a+1); } System.out.println(pos); } /*--------------------------------------------------------------------------------------------------------------------------*/ } catch (Exception e) { System.err.println("Errorrr"); } } } class FastReader { BufferedReader br; StringTokenizer st; public FastReader() { br = new BufferedReader(new InputStreamReader(System.in)); } String next() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } String nextLine() { String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
780235e15d4fde50ea21193cef9d9f4b
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.PrintWriter; import java.util.*; public class Main { public static void main(String[] args) { Scanner obj = new Scanner(System.in); PrintWriter out = new PrintWriter(System.out); int l = obj.nextInt(); while (l-- != 0) { long k = obj.nextLong(); long n = obj.nextLong(); long tut = k; if (k % 2 == 0) { if (n % 4 == 1) { tut -= n; } else if (n % 4 == 2) { tut += 1; } else if (n % 4 == 3) { tut += n + (n - 1) - (n - 2); } } else { if (n % 4 == 1) { tut += n; } else if (n % 4 == 2) { tut -= 1; } else if (n % 4 == 3) { tut -= n + (n - 1) - (n - 2); } } out.println(tut); } out.flush(); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
25155c890f1e8548b2491070dffef9ac
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.util.*; public class A { public static void main(String[] args) { FastScanner fs=new FastScanner(); int t=fs.nextInt(); while(t-->0) { long x,d; x=fs.nextLong(); d=fs.nextLong(); List<Long> al=new ArrayList<>(); long cur=x; for(long i=0;i<4;i++) { long min=i+1; if((cur&1)!=0) cur+=min; else cur-=min; al.add(cur); } int temp=(int)(d%4); if(temp==2||temp==0) { if(temp==0) temp+=4; System.out.println(al.get(temp-1)); } else { if(temp==1) { d--; double dem = d/4.0; if((x&1)!=0) System.out.println(al.get(temp-1)+(long)dem*4); else System.out.println(al.get(temp-1)-(long)dem*4); } else { d--; double dem = d/4.0; if((x&1)!=0) System.out.println(al.get(temp-1)-(long)dem*4); else System.out.println(al.get(temp-1)+(long)dem*4); } } } } static void sort(int[] a) { ArrayList<Integer> l=new ArrayList<>(); for (int i:a) l.add(i); Collections.sort(l); for (int i=0; i<a.length; i++) a[i]=l.get(i); } static class FastScanner { BufferedReader br=new BufferedReader(new InputStreamReader(System.in)); StringTokenizer st=new StringTokenizer(""); String next() { while (!st.hasMoreTokens()) try { st=new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } int[] readArray(int n) { int[] a=new int[n]; for (int i=0; i<n; i++) a[i]=nextInt(); return a; } long nextLong() { return Long.parseLong(next()); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
8fa35c9b6ce6b0a00593b82d95a62a90
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.util.Map; public class ddz { public static void main(String[] args) { System.out.println(); Scanner sc = new Scanner(System.in); int t= sc.nextInt(); while(t-->0) { long initialPosition=sc.nextLong(); long jumps=sc.nextLong(); long jump=jumps%4; long i=(jumps/4)*4+1; while(jump-->0){ if(initialPosition%2==0){ initialPosition-=i; } else initialPosition+=i; i++; } System.out.println(initialPosition); } sc.close(); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
97785738248809ceaed4656e2dd5f363
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class CodeforcesRound753 { public static void main(String[] args) { // TODO Auto-generated method stub Scanner sc= new Scanner(System.in); int t=sc.nextInt(); while(t-->0) { long x=sc.nextLong(); long n=sc.nextLong(); // long coordinate=x; // int time=1; long no=(n/4)*4; while(no<n) { if(x%2==0) { x-=no+1; }else { x+=no+1; } no++; } // while(no<n) { // // if(coordinate%2==0) { // coordinate=coordinate-time; // }else { // coordinate=coordinate+time; // } // time++; // no++; // } System.out.println(x); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
c41b8a3308365830bf87335dba2081d3
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class grassHoper { public static void main(String[] args) { Scanner sc= new Scanner(System.in); int t=sc.nextInt(); while(t-->0){ long x = sc.nextLong(); long n = sc.nextLong(); int b=0; if(x<0){ b=-1; x*=b; } else{ b=1; } if(x%2==1){ if(n<5){ if(n==0){ System.out.println(x*b); } if(n==1){ System.out.println(b*x+1); }if(n==2){ System.out.println(b*x-1); }if(n==3){ System.out.println(b*x-4); }if(n==4){ System.out.println(b*x); } } else{ //System.out.println("odd"); if((n-1)%4==0){ System.out.println(b*x+((n-1)/4)*4+1); }if((n-1)%4==1){ System.out.println(b*x-n+((n-1)/4)*4+1); }if((n-1)%4==3){ System.out.println(b*x+3-n+((n-1)/4)*4+1); }if((n-1)%4==2){ System.out.println(b*x-n-n+1+((n-1)/4)*4+1); } } }else { //System.out.println("even"); if(n<5){ //System.out.println("n<5"); if(n==1){ System.out.println(b*x-1); }if(n==2){ System.out.println(b*x+1); }if(n==3){ System.out.println(b*x+4); }if(n==4||n==0){ System.out.println(b*x); } } else{ //System.out.println("odd"); if((n-1)%4==0){ System.out.println(b*x-((n-1)/4)*4-1); }if((n-1)%4==1){ System.out.println(b*x+n-1-((n-1)/4)*4); }if((n-1)%4==3){ System.out.println(b*x-3+n-((n-1)/4)*4-1); }if((n-1)%4==2){ System.out.println(b*x+n+n-1-((n-1)/4)*4-1); } } } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
6c8bcbe1b7fe63eeef6ddd428f0e8e5a
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Keyboard{ public static void main(String[] args){ Scanner scn = new Scanner(System.in); int t = scn.nextInt(); while(t-- > 0){ long j = 0; long x = scn.nextLong(); long n = scn.nextLong(); int nmod4 = (int)(n % 4); long d = 0; switch(nmod4){ case 1: d = (x %2 == 0 ? -1 : 1)*( (n /4)*4 + 1 ); break; case 2: d = (x %2 == 0 ? -1 : 1)* (-1); break; case 3: d = (x %2 == 0 ? -1 : 1)* ( -1*((n /4)*4 + 3) - 1); break; default: d = 0; } x = x + d; System.out.println(x); // String keyboard = scn.next(); // String q = scn.next(); // int[] pos = new int[26]; // for(int i=0;i<keyboard.length();i++){ // char ch = keyboard.charAt(i); // pos[ch - 'a'] = i + 1; // } // int time = 0; // for(int i = 1;i < q.length();i++){ // char ch = q.charAt(i); // char prev = q.charAt(i-1); // time += Math.abs(pos[ch-'a'] - pos[prev-'a']); // } // System.out.println(time); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
a552785d6aa0e7f86fad93737938f523
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Ques1 { public static void main(String[] args) { Scanner s=new Scanner(System.in); long test=s.nextLong(); for(long i=0;i<test;i++){ long x0=s.nextLong(); long num=s.nextLong(); if(x0==0){ if(num%4==0){ System.out.println(0); } else if(num%4==1){ System.out.println(-num); } else if(num%4==2){ System.out.println(1); } else{ if(num%4==3){ System.out.println(num+1); } } } else if(Math.abs(x0)%2==1){ if(num%4==0){ System.out.println(x0); } else if(num%4==1){ System.out.println(x0+num); } else if(num%4==2){ System.out.println(x0-1); } else{ if(num%4==3){ System.out.println(x0-(num+1)); } } } else{ if(num%4==0){ System.out.println(x0); } else if(num%4==1){ System.out.println(x0-num); } else if(num%4==2){ System.out.println(x0+1); } else{ if(num%4==3){ System.out.println(x0+num+1); } } } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
8ddd04864be9d8145748874cab669daa
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner in = new Scanner(System.in); int t = in.nextInt(); for(int j=0;j<t;j++) { long x = in.nextLong(); long n = in.nextLong(); for(long i=(n-(n%4)+1);i<=n;i++) { if(x%2==0) { x-=i; } else x+=i; } System.out.println(x); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
f2d075f62e85d93277ffc3fd38b2f3eb
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner in = new Scanner(System.in); int t = in.nextInt(); in.nextLine(); long x = 0; long n = 0; for(int i=0;i<=t-1;i++) { String[] s = in.nextLine().split(" "); x = Long.parseLong(s[0]); n = Long.parseLong(s[1]); //even if(x%2==0 || x==0) { // ++ if(n%4 ==3) { x = x+n+1; } //+- if(n%4 ==0) { x = x; } //-+ if(n%4 ==2) { x = x+1; } //-- if(n%4 ==1) { x = x-n; } } //odd else if(x%2!=0) { // -- if(n%4 ==3) { x = x-(n+1); } //-+ if(n%4 ==0) { x = x; } //+- if(n%4 ==2) { x = x-1; } //++ if(n%4 ==1) { x = x+n; } } System.out.println(x); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
b19259969e1523785249e343971d9796
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class OddGrasshopper { public static void main(String[] args) { Scanner s = new Scanner(System.in); int t = s.nextInt(); Long[] ansArr = new Long[t]; for(int i=0;i<t;i++) { long start = s.nextLong(); long jmps = s.nextLong(); for(long j=(jmps-jmps%4+1);j<=jmps;j++) { if(start%2==0) start -= j; else start += j; } ansArr[i] = start; } for (int i=0;i<t;i++) System.out.println(ansArr[i]); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
128ed58104f8fd6d0e7b3e9901fd6208
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
//package div3; import java.util.*; //Status: in progress public class OldGrasshopper753 { public static void main(String args[]) { Scanner sc = new Scanner(System.in); int n = sc.nextInt(); sc.nextLine(); for (int r = 0; r < n; r++) { long s = sc.nextLong(); long j = sc.nextLong(); sc.nextLine(); System.out.println(op(s, j)); } sc.close(); } public static long op(long s, long j) { if (s % 2 == 0) { int a = (int) (j % 4); if (a == 0) return s; if (a == 1) return s - j; if (a == 2) return s + 1; else return s + 1 + j; } else { int a = (int) (j % 4); if (a == 0) return s; if (a == 1) return s + j; if (a == 2) return s - 1; else return s - 1 - j; } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
308c3906db0c08e6926c6c3357c6583a
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class S{ public static void main(String[] args){ Scanner sc=new Scanner(System.in); long ans=0,rem=0; long t=sc.nextLong(); while(t-->0){ long x0=sc.nextLong(); long n=sc.nextLong(); rem=n%4; long q=n/4; if(x0 % 2==0){ if(rem==0){ ans=x0; } else if(rem==1){ ans=x0 + -(1+4*q); } else if(rem==2){ ans= x0+1; } else{ ans=x0 + 4*(q+1); } } else{ if(rem==0){ ans=x0; } else if(rem==1){ ans=x0 +(1+4*q); } else if(rem==2){ ans=x0-1; } else{ ans=x0 - 4*(q+1); } } System.out.println(ans); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
3bdab384098352706cc8fc3b57bd40a1
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
//Avoid division by decimal digits :). Always try to multiply with whole numbers or fractions instead. //if getting wrong answer then use long/double instead of int/float //e + e = o; o + o = e; e + o = o; //see stuff in a jugaad way... if you are being complicated you are doing it wrong //If a=b+1 and b is even, then a∧b=1 //If there is a statement in the question that it can be proved that ... then it means there is a very very simple logic behind it, and is not a simulation or dp question. //Be confident in Maths you are not that bad at it. // add break statement where you are stopping. Do not forget that, as people may use that weakness to hack your solution. import java.io.BufferedReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.util.*; public class Main { public static void main(String[] args) { // write your code here Scanner reader = new Scanner(System.in); int test = reader.nextInt(); for (int o = 0; o < test; o++) { long x0 = reader.nextLong(); long n = reader.nextLong(); long step = 0; if (n % 4 == 0){ } if (n % 4 == 1){ step = -n; } if (n % 4 == 2){ step = 1; } if (n % 4 == 3){ step = n + 1; } if (x0 % 2 == 0) System.out.println(x0 + step); else System.out.println(x0 - step); } } } //------------------------------------XX---Templatecode---XX-------------------------------------- class Template{ public static long gcd(long a, long b){ if (b == 0) return a; return gcd(b, a % b); } public static long lcm(long a,long b){ return (a*b)/gcd(a, b); } } class FastReader { BufferedReader br; StringTokenizer st; public FastReader() { br = new BufferedReader(new InputStreamReader(System.in)); } String next() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } String nextLine() { String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
c4b938a6ad6130bce13ad4fa7f3fa402
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
// हर हर महादेव import java.util.*; import java.lang.*; import java.io.*; import java.text.DecimalFormat; public final class Solution { static int inf = Integer.MAX_VALUE; static long mod = 1000000000 + 7; // static long md=998244353L; // 998244353 static void ne(Scanner sc, BufferedWriter op) throws Exception { long x=sc.nextLong(); long n=sc.nextLong(); long rem=n/4; long curr=x; // bruteForce(x,n); long left=rem*4; for(long i=left+1;i<=n;i++){ if(curr%2==0){ curr-=i; }else{ curr+=i; } } op.write(curr+"\n"); } static void bruteForce(long x,long n){ long curr=x; for(long i=1;i<=n;i++){ if(curr%2==0){ curr-=i; }else{ curr+=i; } System.out.println(curr+" "+i); } } static long gcd(long a, long b){ if(a==0) return b; return gcd(b%a,a); } static long lcm(long a, long b){ return (a*b)/gcd(a,b); } public static void main(String[] args) throws Exception { BufferedWriter op = new BufferedWriter(new OutputStreamWriter(System.out)); // Reader sc = new Reader(); Scanner sc= new Scanner(System.in); int t = sc.nextInt(); while (t-->0){ne(sc, op);} // ne(sc,op); op.flush(); } static void print(Object o) { System.out.println(String.valueOf(o)); } static int[] toIntArr(String s){ int[] val= new int[s.length()]; for(int i=0;i<s.length();i++){ val[i]=s.charAt(i)-'a'; } return val; } static void sort(int[] arr){ ArrayList<Integer> list= new ArrayList<>(); for(int i=0;i<arr.length;i++){ list.add(arr[i]); } Collections.sort(list); for(int i=0;i<arr.length;i++){ arr[i]=list.get(i); } } static void sort(long[] arr){ ArrayList<Long> list= new ArrayList<>(); for(int i=0;i<arr.length;i++){ list.add(arr[i]); } Collections.sort(list); for(int i=0;i<arr.length;i++){ arr[i]=list.get(i); } } } // return -1 to put no ahed in array class pair { int xx; int yy; pair(int xx, int yy ) { this.xx = xx; this.yy = yy; } } class sortY implements Comparator<pair> { public int compare(pair p1, pair p2) { if (p1.yy > p2.yy) { return -1; } else if (p1.yy == p2.yy) { if (p1.xx > p2.xx) { return 1; } else if (p1.xx < p2.xx) { return -1; } return 0; } return 1; } } class sortX implements Comparator<pair> { public int compare(pair p1, pair p2) { if (p1.xx > p2.xx) { return 1; } else if (p1.xx == p2.xx) { if (p1.yy > p2.yy) { return 1; } else if (p1.yy < p2.yy) { return -1; } return 0; } return -1; } } class debug { static void print1d(long[] arr) { System.out.println(); for (int i = 0; i < arr.length; i++) { System.out.print(arr[i] + " "); } } static void print1d(int[] arr) { System.out.println(); for (int i = 0; i < arr.length; i++) { System.out.print(arr[i] + " "); } } static void print1d(boolean[] arr) { System.out.println(); for (int i = 0; i < arr.length; i++) { System.out.println(i + "= " + arr[i] + " "); } } static void print2d(int[][] arr) { System.out.println(); int n = arr.length; int n2 = arr[0].length; for (int i = 0; i < n; i++) { for (int j = 0; j < n2; j++) { System.out.print(arr[i][j] + " "); } System.out.println(); } } static void print2d(long[][] arr) { System.out.println(); int n = arr.length; int n2 = arr[0].length; for (int i = 0; i < n; i++) { for (int j = 0; j < n2; j++) { System.out.print(arr[i][j] + " "); } System.out.println(); } } static void printPair(ArrayList<pair> list) { if(list.size()==0){ System.out.println("empty list"); return; } System.out.println(); for(int i=0;i<list.size();i++){ System.out.println(list.get(i).xx+"-"+list.get(i).yy); } } } class Reader { final private int BUFFER_SIZE = 1 << 16; private DataInputStream din; private byte[] buffer; private int bufferPointer, bytesRead; public Reader() { din = new DataInputStream(System.in); buffer = new byte[BUFFER_SIZE]; bufferPointer = bytesRead = 0; } public Reader(String file_name) throws IOException { din = new DataInputStream(new FileInputStream(file_name)); buffer = new byte[BUFFER_SIZE]; bufferPointer = bytesRead = 0; } public String readLine() throws IOException { byte[] buf = new byte[64]; // line length int cnt = 0, c; while ((c = read()) != -1) { if (c == '\n') { if (cnt != 0) { break; } else { continue; } } buf[cnt++] = (byte) c; } return new String(buf, 0, cnt); } public int nextInt() throws IOException { int ret = 0; byte c = read(); while (c <= ' ') { c = read(); } boolean neg = (c == '-'); if (neg) c = read(); do { ret = ret * 10 + c - '0'; } while ((c = read()) >= '0' && c <= '9'); if (neg) return -ret; return ret; } public long nextLong() throws IOException { long ret = 0; byte c = read(); while (c <= ' ') c = read(); boolean neg = (c == '-'); if (neg) c = read(); do { ret = ret * 10 + c - '0'; } while ((c = read()) >= '0' && c <= '9'); if (neg) return -ret; return ret; } public double nextDouble() throws IOException { double ret = 0, div = 1; byte c = read(); while (c <= ' ') c = read(); boolean neg = (c == '-'); if (neg) c = read(); do { ret = ret * 10 + c - '0'; } while ((c = read()) >= '0' && c <= '9'); if (c == '.') { while ((c = read()) >= '0' && c <= '9') { ret += (c - '0') / (div *= 10); } } if (neg) return -ret; return ret; } private void fillBuffer() throws IOException { bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE); if (bytesRead == -1) buffer[0] = -1; } private byte read() throws IOException { if (bufferPointer == bytesRead) fillBuffer(); return buffer[bufferPointer++]; } public void close() throws IOException { if (din == null) return; din.close(); } } class MultiTreeSet<E> { TreeMap<E, Integer> freqTreeMap = new TreeMap<E, Integer>(); int size; public MultiTreeSet() {} public MultiTreeSet(Collection<? extends E> c) { for(E element : c) add(element); } public int size() { return size; } public int disCount(){ return freqTreeMap.size(); } public void add(E element) { Integer freq = freqTreeMap.get(element); if(freq==null) freqTreeMap.put(element, 1); else freqTreeMap.put(element,freq+1); ++size; } public void remove(E element) { Integer freq = freqTreeMap.get(element); if(freq!=null) { if(freq==1) freqTreeMap.remove(element); else freqTreeMap.put(element, freq-1); --size; } } public int get(E element) { Integer freq = freqTreeMap.get(element); if(freq==null) return 0; return freq; } public boolean contains(E element) { return get(element)>0; } public void print(){ for(E k : freqTreeMap.keySet()){ System.out.print(k+"="+freqTreeMap.get(k)+" "); } System.out.println(); } public boolean isEmpty() { return size==0; } public E first() { return freqTreeMap.firstKey(); } public E last() { return freqTreeMap.lastKey(); } public E ceiling(E element) { return freqTreeMap.ceilingKey(element); } public E floor(E element) { return freqTreeMap.floorKey(element); } public E higher(E element) { return freqTreeMap.higherKey(element); } public E lower(E element) { return freqTreeMap.lowerKey(element); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
25d648ff76bea1b458d84a8d85225a99
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class B_Odd_Grasshopper { public static void main(String Args[]) { Scanner sc = new Scanner(System.in); int t = sc.nextInt(); while(sc.hasNext()) { long init = sc.nextLong(); long jumps = sc.nextLong(); long ans = jumps%4; long j = (jumps-ans)+1; while(ans!=0) { if(init%2 == 0) { init -= j; j++; ans--; } else { init += j; j++; ans--; } } System.out.println(init); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
980b37e19039af107c7c2b93e941ca22
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.io.*; public class test { public static void main(String[] args) { Scanner sc = new Scanner(System.in); if (System.getProperty("ONLINE_JUDGE") == null) { try { System.setOut(new PrintStream( new FileOutputStream("output.txt"))); sc = new Scanner(new File("input.txt")); } catch (Exception e) { e.printStackTrace(); } } int tc = sc.nextInt(); StringBuilder sb = new StringBuilder(); while (tc-- > 0) { long x = sc.nextLong(); long n = sc.nextLong(); if (n <= 4) { for (int i = 1 ; i <= n ; i++) { if (x % 2 == 0) { x = x - i; } else { x = x + i; } } sb.append(x); } else { long[] arr = new long[4]; for (int i = 1; i < 5; i++) { long num = (n - i) / 4 + 1 ; long sum = num * (i + (num - 1) * 2); arr[i - 1] = sum; } long a = arr[0] + arr[3]; long b = arr[2] + arr[1]; if (x % 2 == 0) { sb.append(x + b - a); } else { sb.append(x + a - b); } } sb.append("\n"); } System.out.println(sb.toString()); sc.close(); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
7496ee6da6d1fb04e81061d2e0d4dda0
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.BufferedOutputStream; import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.Scanner; import java.util.StringTokenizer; public class hi { public static void main(String[] args) { Scanner sc = new Scanner(System.in); int t = sc.nextInt(); while (t-- > 0) { long x = sc.nextLong(); long n = sc.nextLong(); long x2 = x % 2 == 0 ? x - 1 : x + 1; if(n == 0){ System.out.println(x); continue; } long i = 0; if (n > 1) { if (x2 % 2 != 0) { if (n % 2 != 0) { if ((n / 2) % 2 == 0) { x2 = x - n; } else { x2 = x + n + 1; } } else { if ((n / 2) % 2 == 0) { x2 = x; } else { x2 = x + 1; } } } else { if (n % 2 == 0) { if ((n / 2) % 2 == 0) { x2 = x; } else { x2 = x - 1; } } else { if ((n / 2) % 2 == 0) { x2 += (n - 1); } else { x2 = x - (n + 1); } } } } System.out.println(x2); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
a763add3147d85ef0babfda9900cde1f
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
/* * To change this license header, choose License Headers in Project Properties. * To change this template file, choose Tools | Templates * and open the template in the editor. */ import java.util.Scanner; /** * * @author ASUS */ public class OddGrasshopper{ /** * @param args the command line arguments */ public static void main(String[] args){ // TODO code application logic here Scanner inp=new Scanner(System.in); int t=inp.nextInt(); for (int i=0;i<t;i++){ long xi=inp.nextLong(); long n=inp.nextLong(); long x=find(n); if (n!=0){x-=1L;} if (xi%2==1 || xi%2==-1)x*=-1L; System.out.println(x+xi); } } public static long find(long num){ if (num==3){return 5L;} if (num==2){return 2L;} if (num==1){return 0L;} if (num==0){return 0L;} long nm=num%4L; if (nm==2){ return (-4)*(num/4)+(num); }else if (nm==3){ return (-4)*(num/4)+(num-1)+(num); }else if (nm==0){ return (-4)*(num/4-1)+(num-2)+(num-1)-(num); }else { return (-4)*(num/4); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
6dd005faa3ed348241e4a2424fd1c926
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class Contest { public static long solve(long c,long j){ if(j==0){ return c; } else{ if(c%2==0){ if(j%4==0){ return c; } else if(j%4==1){ c = c - j; return c; } else if(j%4==2){ c = c + 1; return c; } else if(j%4==3){ c = c + j + 1; return c; } } else{ if(j%4==0){ return c; } else if(j%4==1){ c = c + j; return c; } else if(j%4==2){ c = c - 1; return c; } else if(j%4==3){ c = c - j - 1; return c; } } } return c; } public static void main(String h[]){ Scanner sc = new Scanner(System.in); int t = sc.nextInt(); for(int i=0;i<t;i++){ long c = sc.nextLong(); long j = sc.nextLong(); long ans = solve(c,j); System.out.println(ans); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
db547b8f25efe70841bd78477e508f89
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class Main { public static void main(String[] args) { Scanner sc = new Scanner(System.in); long t = sc.nextLong(); while(t-->0){ long x = sc.nextLong(); long n = sc.nextLong(); long ans = 0; if(x%2==0){ if(n%4==0){ ans = x; }else if(n%4==1){ ans = x-n; }else if(n%4==2){ ans = x+1; }else if(n%4==3){ ans = x+(n+1); } }else{ if(n%4==0){ ans = x; }else if(n%4==1){ ans = x+n; }else if(n%4==2){ ans = x-1; }else if(n%4==3){ ans = x-(n+1); } } System.out.println(ans); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
99fd8c5fe86f2c5548a4d6406a0fb42b
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class Main { static Scanner scanner = new Scanner(System.in); public static void solve() { long start = scanner.nextLong(); long step = scanner.nextLong(); long t = step % 4; long turn = step / 4; step = step - (t - 1); long ans = start; if (start % 2 == 0) { if (t >= 1) { ans -= step; step++; } if (t >= 2) { ans += step; step++; } if (t == 3) { ans += step; } } else { if (t >= 1) { ans += step; step++; } if (t >= 2) { ans -= step; step++; } if (t == 3) { ans -= step; } } System.out.println(ans); } public static void main(String[] args) { int n = scanner.nextInt(); while(n-- > 0) { solve(); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
5e788d96c9b237e22f6617f3175d06cd
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.IOException; import java.io.InputStream; import java.io.OutputStream; import java.util.InputMismatchException; /** * @author ethan55 */ public class Solution { public static void main(String[] args) { TestRunner.run(); } public static class TestCase { static final boolean MULTIPLE = true; public void solve(InputReader in, OutputWriter out) { long x = in.nextLong(); long i = in.nextLong(); long move = Math.floorMod(i, 4L); if (x % 2L == 0L) { if (move == 1L) { out.println((x - 1L) - 4L * (i / 4L)); } else if (move == 2L) { out.println(x + 1L); } else if (move == 3L) { out.println(((x + 4) + (4L * ((i / 4L))))); } else if (move == 0L) { out.println(x); } } else { if (move == 1L) { out.println((x + 1L) + 4L * (i / 4L)); } else if (move == 2L) { out.println(x - 1L); } else if (move == 3L) { out.println(((x - 4L) - (4L * ((i / 4L))))); } else if (move == 0L) { out.println(x); } } } } public static class TestRunner { public static void run() { InputReader in = new InputReader(System.in); try (OutputWriter out = new OutputWriter(System.out)) { int testCases = TestCase.MULTIPLE ? in.nextInt() : 1; for (int i = 1; i <= testCases; i++) { new TestCase().solve(in, out); } } } } public static class OutputWriter implements AutoCloseable { private static final int BUFFER_SIZE = 1 << 13; private final byte[] outputBuffer = new byte[BUFFER_SIZE]; private final OutputStream outputStream; private int outputBufferIndex = 0; public OutputWriter(OutputStream os) { this.outputStream = os; } public OutputWriter println(long x) { return writeln(x); } public void flush() { innerFlush(); try { outputStream.flush(); } catch (IOException e) { throw new IllegalStateException("Failed to flush"); } } private OutputWriter write(byte b) { outputBuffer[outputBufferIndex++] = b; if (outputBufferIndex == BUFFER_SIZE) { innerFlush(); } return this; } private OutputWriter write(String s) { s.chars() .forEach( c -> { outputBuffer[outputBufferIndex++] = (byte) c; if (outputBufferIndex == BUFFER_SIZE) { innerFlush(); } }); return this; } private static int countDigits(long l) { if (l >= 1000000000000000000L) { return 19; } if (l >= 100000000000000000L) { return 18; } if (l >= 10000000000000000L) { return 17; } if (l >= 1000000000000000L) { return 16; } if (l >= 100000000000000L) { return 15; } if (l >= 10000000000000L) { return 14; } if (l >= 1000000000000L) { return 13; } if (l >= 100000000000L) { return 12; } if (l >= 10000000000L) { return 11; } if (l >= 1000000000L) { return 10; } if (l >= 100000000L) { return 9; } if (l >= 10000000L) { return 8; } if (l >= 1000000L) { return 7; } if (l >= 100000L) { return 6; } if (l >= 10000L) { return 5; } if (l >= 1000L) { return 4; } if (l >= 100L) { return 3; } if (l >= 10L) { return 2; } return 1; } private OutputWriter write(long x) { if (x == Long.MIN_VALUE) { return write("" + x); } if (outputBufferIndex + 21 >= BUFFER_SIZE) { innerFlush(); } if (x < 0) { write((byte) '-'); x = -x; } int d = countDigits(x); for (int i = outputBufferIndex + d - 1; i >= outputBufferIndex; i--) { outputBuffer[i] = (byte) ('0' + x % 10); x /= 10; } outputBufferIndex += d; return this; } private OutputWriter writeln(long x) { return write(x).writeln(); } private OutputWriter writeln() { return write((byte) '\n'); } private void innerFlush() { try { outputStream.write(outputBuffer, 0, outputBufferIndex); outputBufferIndex = 0; } catch (IOException e) { throw new IllegalStateException("Failed to inner flush"); } } @Override public void close() { flush(); } } public static class InputReader { private final InputStream inputStream; private final byte[] inputBuffer = new byte[1024]; private int bytesRead = 0; private int inputBufferIndex = 0; public InputReader(InputStream inputStream) { this.inputStream = inputStream; } private int readByte() { if (bytesRead == -1) { throw new InputMismatchException(); } if (inputBufferIndex >= bytesRead) { inputBufferIndex = 0; try { bytesRead = inputStream.read(inputBuffer); } catch (IOException e) { throw new InputMismatchException(); } if (bytesRead <= 0) { return -1; } } return inputBuffer[inputBufferIndex++]; } public int nextInt() { return (int) nextLong(); } public long nextLong() { long num = 0; int b; boolean minus = false; do { b = readByte(); } while (b != -1 && !((b >= '0' && b <= '9') || b == '-')); if (b == '-') { minus = true; b = readByte(); } while (true) { if (b >= '0' && b <= '9') { num = num * 10 + (b - '0'); } else { return minus ? -num : num; } b = readByte(); } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
51afe461fa9a29f8e81b586a6ebee053
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class Jump { public static void main(String args[]) { Scanner in = new Scanner(System.in); int i,j,t; long n,x; t=in.nextInt(); for(i=1;i<=t;i++) { x=in.nextLong(); n=in.nextLong(); if(n%4==0) System.out.println(x); else if(n%4==1) { if(x%2==0) x=x-n; else x=x+n; System.out.println(x); } else if(n%4==2) { if(x%2==0) System.out.println(x+1); else System.out.println(x-1); } else { if(x%2==0) x=x+n+1; else x=x-n-1; System.out.println(x); } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
ff2aaf9d654978266ffbe6eb35093284
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class tp { public static void main(String[] args) { Scanner scan = new Scanner(System.in); int t = scan.nextInt(); for(int i = 0; i< t; i++){ long x = scan.nextLong(); long n = scan.nextLong(); long rem = n%4; long qo = n-rem; for(long j = 1; j <= rem; j++){ if(x%2 == 0){ x -= (j+qo); }else{ x += (j+qo); } } System.out.println(x); } scan.close(); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
dc0dc5ea333f57b5883b2ea4991da8d0
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.*; import java.util.*; public class Solution { public static long gcd(long a,long b) { if(a==0) return b; return gcd(b%a,a); } public static long lcm(long a,long b) { return (a*b)/gcd(a,b); } public static long [] arrayInput(BufferedReader br,int n) throws java.lang.Exception { long out[]=new long[n]; String input[]=br.readLine().split(" "); for(int i=0;i<n;i++) { out[i]=Long.parseLong(input[i]); } return out; } public static long [] simpleInput(BufferedReader br,int n) throws java.lang.Exception{ long ans[]=new long[n]; String input[]=br.readLine().split(" "); for(int i=0;i<n;i++) { ans[i]=Long.parseLong(input[i]); } return ans; } public static void main(String[] args) throws java.lang.Exception { BufferedReader br=new BufferedReader(new InputStreamReader(System.in)); PrintWriter out=new PrintWriter(System.out); int testCases=Integer.parseInt(br.readLine()); while(testCases-->0) { long input[]=simpleInput(br, 2); long x=input[0]; long n=input[1]; if(n==0) out.println(x); else if(x%2==0) { long total=-1-4*((n-1)/4); long rem=(n-1)%4; if(rem==2) total+=n+n-1; else if(rem==1) total+=n; else if(rem==3) total+=-2+n-1; out.println(x+total); }else { long total=1+4*((n-1)/4); long rem=(n-1)%4; if(rem==2) total+=-n-n+1; else if(rem==1) total+=-n; else if(rem==3) total+=2-n+1; out.println(x+total); } } out.close(); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
c4501dd57eeaea737fb279179d40dedd
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
/* package codechef; // don't place package name! */ import java.util.*; import java.lang.*; import java.io.*; /* Name of the class has to be "Main" only if the class is public. */ public class Main { public static void main (String[] args) throws java.lang.Exception { Scanner sc = new Scanner(System.in); long t,x0,n; t=sc.nextLong(); while(t-- > 0){ x0 = sc.nextLong(); n = sc.nextLong(); if((x0&1) == 1){ if(n%4 == 0){ System.out.println(x0); }else{ if(n%4 == 1){ System.out.println(x0+n); } else if(n%4 == 2){ System.out.println(x0-1); } else if(n%4 == 3){ System.out.println(x0 - ((n/4)+1)*4); } } }else{ if(n%4 == 0){ System.out.println(x0); }else{ if(n%4 == 1){ System.out.println(x0-n); } else if(n%4 == 2){ System.out.println(x0+1); } else if(n%4 == 3){ System.out.println(x0 + ((n/4)+1)*4); } } } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
9f0a9ed9a9599a888dad969763fa06bf
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class Training1 { public static void main(String[] args) { Scanner sc = new Scanner(System.in); int t=sc.nextInt(); for (int k = 0; k < t; k++) { long x=sc.nextLong(); long n=sc.nextLong(); long res=0; if (x%2==0) { if ((n-2)%4==0) { res=x+1; }else if((n-2)%4==1){ res=x+1+n; }else if((n-2)%4==2){ res=x+0; }else { res=x+0-n; } }else{ if ((n-2)%4==0) { res=x-1; }else if((n-2)%4==1){ res=x-1-n; }else if((n-2)%4==2){ res=x+0; }else { res=x+0+n; } } System.out.println(res); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
855220aafa7a0bbe58a26fb6a9be1636
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner sc = new Scanner(System.in); int t = sc.nextInt(); for (int i = 1; i <= t; i++) { long x = sc.nextLong(); long jump = sc.nextLong(); long temp = ((jump % 4)); for (long j = jump - temp + 1; j <= jump; j++) { if (x % 2 != 0) { x += j; } else { x -= j; } } System.out.println(x); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
4b5efb39bd7d936b384ada2d4e2841f2
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.*; import java.util.*; import static java.lang.Math.*; //TLE SE DARNE KA NAHI RE! public class B1607 { static class FastReader { BufferedReader br; StringTokenizer st; public FastReader() { br = new BufferedReader( new InputStreamReader(System.in)); } public FastReader(String file_name)throws IOException { br = new BufferedReader( new FileReader(file_name)); } String next() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } String nextLine() { String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } public int[] nextArray(int n){ int ar[] = new int[n]; for(int i=0;i<n;i++) ar[i] = this.nextInt(); return (ar); } } static class OutputWriter{ BufferedWriter writer; public OutputWriter(OutputStream stream){ writer = new BufferedWriter(new OutputStreamWriter(stream)); } public OutputWriter(String file_name) throws IOException{ writer = new BufferedWriter(new FileWriter("output.txt")); } public void print(int i) throws IOException { writer.write(i); } public void print(String s) throws IOException { writer.write(s); } public void print(char []c) throws IOException { writer.write(c); } public void println(int i) throws IOException { writer.write(i+"\n"); } public void println(long i) throws IOException { writer.write(i+"\n"); } public void println(String s) throws IOException { writer.write(s+"\n"); } public void println(char []c) throws IOException { writer.write(c+"\n"); } public void close() throws IOException { writer.close(); } } public static long gcd(long a,long b){ return(a==0?b:gcd(b%a,a)); } public static long lcm(long a,long b){ //return (a*b)/gcd(a,b); //this is modified to avoid integer overflow by multiplying a*b return((a/gcd(a,b))*b); } public static void initialize_io_redirection()throws IOException{ try{ boolean MP = System.getProperty("MY_PC")!=null; if(MP){ fs = new FastReader("input.txt"); op = new OutputWriter("output.txt"); System.setOut(new PrintStream(new File("output.txt"))); } else{ fs = new FastReader(); op = new OutputWriter(System.out); } } catch(Exception e){ fs = new FastReader(); op = new OutputWriter(System.out); } } static FastReader fs; static OutputWriter op; public static void main(String[] args)throws IOException{ initialize_io_redirection(); int t = fs.nextInt(); while(t-- > 0) solve(); op.close(); } public static void solve()throws IOException{ long x0=fs.nextLong(),n=fs.nextLong(),ta; if(x0%2!=0){ if(n%2==0){ if((n/2)%2==0) ta = 0; else ta=-1; } else{ if((n/2)%2!=0){ ta=-n-1; } else{ ta = n; } } } else{ if(n%2==0){ if((n/2)%2==0) ta = 0; else ta=1; } else{ if((n/2)%2!=0){ ta=n+1; } else{ ta = -n; } } } System.out.println(x0+ta); ///////////////////////////////////////////////////////////// } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
cab573a5069e7fa95ff2b4c79a75f682
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.*; import java.util.*; import static java.lang.Math.*; //TLE SE DARNE KA NAHI RE! public class B1607 { static class FastReader { BufferedReader br; StringTokenizer st; public FastReader() { br = new BufferedReader( new InputStreamReader(System.in)); } public FastReader(String file_name)throws IOException { br = new BufferedReader( new FileReader(file_name)); } String next() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } String nextLine() { String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } public int[] nextArray(int n){ int ar[] = new int[n]; for(int i=0;i<n;i++) ar[i] = this.nextInt(); return (ar); } } static class OutputWriter{ BufferedWriter writer; public OutputWriter(OutputStream stream){ writer = new BufferedWriter(new OutputStreamWriter(stream)); } public OutputWriter(String file_name) throws IOException{ writer = new BufferedWriter(new FileWriter("output.txt")); } public void print(int i) throws IOException { writer.write(i); } public void print(String s) throws IOException { writer.write(s); } public void print(char []c) throws IOException { writer.write(c); } public void println(int i) throws IOException { writer.write(i+"\n"); } public void println(long i) throws IOException { writer.write(i+"\n"); } public void println(String s) throws IOException { writer.write(s+"\n"); } public void println(char []c) throws IOException { writer.write(c+"\n"); } public void close() throws IOException { writer.close(); } } public static long gcd(long a,long b){ return(a==0?b:gcd(b%a,a)); } public static long lcm(long a,long b){ //return (a*b)/gcd(a,b); //this is modified to avoid integer overflow by multiplying a*b return((a/gcd(a,b))*b); } public static void initialize_io_redirection()throws IOException{ try{ boolean MP = System.getProperty("MY_PC")!=null; if(MP){ fs = new FastReader("input.txt"); op = new OutputWriter("output.txt"); System.setOut(new PrintStream(new File("output.txt"))); } else{ fs = new FastReader(); op = new OutputWriter(System.out); } } catch(Exception e){ fs = new FastReader(); op = new OutputWriter(System.out); } } static FastReader fs; static OutputWriter op; public static void main(String[] args)throws IOException{ initialize_io_redirection(); int t = fs.nextInt(); while(t-- > 0) solve(); op.close(); } public static void solve()throws IOException{ long x0=fs.nextLong(),n=fs.nextLong(),ta; if(x0%2!=0){ if(n%2==0){ if((n/2)%2==0) ta = 0; else ta=-1; } else{ if((n/2)%2!=0){ ta=-n-1; } else{ ta = n; } } } else{ if(n%2==0){ if((n/2)%2==0) ta = 0; else ta=1; } else{ if((n/2)%2!=0){ ta=n+1; } else{ ta = -n; } } } System.out.println(x0+ta); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
8edcb10e0399b52bf38a29277da703f5
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.io.*; public class Main { static String io[], ss; static int n, m, k, t, N = 200010, M = 100010, P = (int)1e6+7; static int[] a = new int[N]; static void solve() throws Exception { long x = nl(), p = nl(); long ac = p%4, ak = p/4, s = (long)Math.pow(-1, x&1); long[] op = {0, -1, 1, 4}; if (ac == 2){ out.println(x+s); }else if (ac == 0){ out.println(x); }else if (ac == 1){ out.println(x+(-1-ak*4)*s); }else{ out.println(x+4*(ak+1)*s); } } public static void main(String[] args) throws Exception { t = Integer.parseInt(in.readLine()); while (t-- > 0) solve(); out.flush(); } static int ni() throws IOException{input.nextToken();return (int) input.nval;} static long nl() throws IOException{input.nextToken();return (long) input.nval;} static int max(int a, int b) {return a > b ? a : b;} static int min(int a, int b) {return a < b ? a : b;} static long max(long a, long b) {return a > b ? a : b;} static long min(long a, long b) {return a < b ? a : b;} static int abs(int a) {return a > 0?a:-a;} static BufferedReader in = new BufferedReader(new InputStreamReader(System.in)); static StreamTokenizer input = new StreamTokenizer(in); static PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out)); }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
56d9bfb7d4323114c8a19af49dc3045f
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.io.*; import java.io.DataInputStream; import java.io.FileInputStream; import java.io.IOException; import java.io.InputStreamReader; import java.util.Scanner; import java.util.StringTokenizer; import java.math.BigInteger; public final class Main{ static class Reader { final private int BUFFER_SIZE = 1 << 16; private DataInputStream din; private byte[] buffer; private int bufferPointer, bytesRead; public Reader() { din = new DataInputStream(System.in); buffer = new byte[BUFFER_SIZE]; bufferPointer = bytesRead = 0; } public Reader(String file_name) throws IOException { din = new DataInputStream( new FileInputStream(file_name)); buffer = new byte[BUFFER_SIZE]; bufferPointer = bytesRead = 0; } public String readLine() throws IOException { byte[] buf = new byte[64]; // line length int cnt = 0, c; while ((c = read()) != -1) { if (c == '\n') { if (cnt != 0) { break; } else { continue; } } buf[cnt++] = (byte)c; } return new String(buf, 0, cnt); } public int nextInt() throws IOException { int ret = 0; byte c = read(); while (c <= ' ') { c = read(); } boolean neg = (c == '-'); if (neg) c = read(); do { ret = ret * 10 + c - '0'; } while ((c = read()) >= '0' && c <= '9'); if (neg) return -ret; return ret; } public long nextLong() throws IOException { long ret = 0; byte c = read(); while (c <= ' ') c = read(); boolean neg = (c == '-'); if (neg) c = read(); do { ret = ret * 10 + c - '0'; } while ((c = read()) >= '0' && c <= '9'); if (neg) return -ret; return ret; } public double nextDouble() throws IOException { double ret = 0, div = 1; byte c = read(); while (c <= ' ') c = read(); boolean neg = (c == '-'); if (neg) c = read(); do { ret = ret * 10 + c - '0'; } while ((c = read()) >= '0' && c <= '9'); if (c == '.') { while ((c = read()) >= '0' && c <= '9') { ret += (c - '0') / (div *= 10); } } if (neg) return -ret; return ret; } private void fillBuffer() throws IOException { bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE); if (bytesRead == -1) buffer[0] = -1; } private byte read() throws IOException { if (bufferPointer == bytesRead) fillBuffer(); return buffer[bufferPointer++]; } public void close() throws IOException { if (din == null) return; din.close(); } } static class Kattio extends PrintWriter { private BufferedReader r; private StringTokenizer st; // standard input public Kattio() { this(System.in, System.out); } public Kattio(InputStream i, OutputStream o) { super(o); r = new BufferedReader(new InputStreamReader(i)); } // USACO-style file input public Kattio(String problemName) throws IOException { super(new FileWriter(problemName + ".out")); r = new BufferedReader(new FileReader(problemName + ".in")); } // returns null if no more input public String next() { try { while (st == null || !st.hasMoreTokens()) st = new StringTokenizer(r.readLine()); return st.nextToken(); } catch (Exception e) { } return null; } public int nextInt() { return Integer.parseInt(next()); } public double nextDouble() { return Double.parseDouble(next()); } public long nextLong() { return Long.parseLong(next()); } } static Kattio sc = new Kattio(); static long mod = 998244353l; static PrintWriter out =new PrintWriter(System.out); //Heapify function to maintain heap property. public static void swap(int i,int j,int arr[]) { int temp = arr[i]; arr[i] = arr[j]; arr[j] = temp; } public static void swap(int i,int j,long arr[]) { long temp = arr[i]; arr[i] = arr[j]; arr[j] = temp; } public static void swap(int i,int j,char arr[]) { char temp = arr[i]; arr[i] = arr[j]; arr[j] = temp; } static String endl = "\n" , gap = " "; public static void main(String[] args)throws IOException { int t =ri(); // List<Integer> list = new ArrayList<>(); // int MAX = (int)4e4; // for(int i =1;i<=MAX;i++) { // if(isPalindrome(i + "")) list.add(i); // } // // System.out.println(list); // long dp[] = new long[MAX +1]; // dp[0] = 1; // long mod = (long)(1e9+7); // for(int x : list) { // for(int i =1;i<=MAX;i++) { // if(i >= x) { // dp[i] += dp[i-x]; // dp[i] %= mod; // } // } // } // int MAK = (int)1e6; // boolean seive[] = new boolean[MAK]; // Arrays.fill(seive , true); // seive[1] = false; // seive[0] = false; // for (int i = 1; i < MAK; i++) { // if(seive[i]) { // for (int j = i+i; j < MAK; j+=i) { // seive[j] = false; // } // } // } // for (int i = 1; i <= MAK; i++) { // seive[i] += seive[i - 1]; // } int test_case = 1; while(t-->0) { // out.write("Case #"+(test_case++)+": "); solve(); } out.close(); } static HashMap<Integer , Boolean>dp; public static void solve()throws IOException { long n = rl() , time = rl(); long ans =0; if(time%4 == 0) { ans =0; } if(time%4 == 1) { ans = time; } if(time%4 == 2) { ans = -1; } if(time%4 == 3) { ans = -time- 1; } if(n%2==0) ans = n-ans; else ans = n+ans; System.out.println(ans); } public static long callfun(int n) { if(n == 1) return 1; return n + n*callfun(n-1); } public static double getSlope(int a , int b,int x,int y) { if(a-x == 0) return Double.MAX_VALUE; if(b-y == 0) return 0.0; return ((double)b-(double)y)/((double)a-(double)x); } public static int callfun(int a[], int []b) { HashMap<Integer , Integer> map = new HashMap<>(); int n = a.length; for(int i =0;i<b.length;i++) { map.put(b[i] , i); } HashMap<Integer , Integer> cnt = new HashMap<>(); for(int i =0;i<n;i++) { int move = (map.get(a[i])-i+n)%n; cnt.put(move , cnt.getOrDefault(move,0) + 1); } int max =0; for(int x : cnt.keySet()) max = Math.max(max , cnt.get(x)); return max; } public static boolean collinearr(long a[] , long b[] , long c[]) { return (b[1]-a[1])*(b[0]-c[0]) == (b[0]-a[0])*(b[1]-c[1]); } public static boolean isSquare(int sum) { int root = (int)Math.sqrt(sum); return root*root == sum; } public static boolean canPlcae(int prev,int len , int sum,int arr[],int idx) { // System.out.println(sum + " is sum prev " + prev); if(len == 0) { if(isSquare(sum)) return true; return false; } for(int i = prev;i<=9;i++) { arr[idx] = i; if(canPlcae(i, len-1,sum + i*i,arr,idx + 1)) { return true; } } return false; } public static boolean isPalindrome(String s) { int i =0 , j = s.length() -1; while(i <= j && s.charAt(i) == s.charAt(j)) { i++; j--; } return i>j; } // digit dp hint; public static long callfun(String num , int N, int last ,int secondLast ,int bound ,long dp[][][][]) { if(N == 1) { if(last == -1 || secondLast == -1) return 0; long answer = 0; int max = (bound==1)?(num.charAt(num.length()-N)-'0') : 9; for(int i = 0;i<=max;i++) { if(last > secondLast && last > i) { answer++; } if(last < secondLast && last < i) { answer++; } } return answer; } if(secondLast == -1 || last == -1 ){ long answer = 0l; int max = (bound==1)?(num.charAt(num.length()-N)-'0') : 9; for(int i =0;i<=max;i++) { int nl , nsl , newbound = bound==0?0:i==max?1:0; if(last == - 1&& secondLast == -1 && i == 0) { nl = -1 ; nsl = -1; } else { nl = i;nsl = last; } long temp = callfun(num , N-1 , nl , nsl ,newbound, dp); answer += temp; if(last != -1 && secondLast != -1 &&((last > secondLast && last > i)||(last < secondLast && last < i))) answer++; } return answer; } if(dp[N][last][secondLast][bound] != -1) return dp[N][last][secondLast][bound]; long answer = 0l; int max = (bound==1)?(num.charAt(num.length()-N)-'0') : 9; for(int i =0;i<=max;i++) { int nl , nsl , newbound = bound==0?0:i==max?1:0; if(last == - 1&& secondLast == -1 && i == 0) { nl = -1 ; nsl = -1; } else { nl = i;nsl = last; } long temp = callfun(num , N-1 , nl , nsl ,newbound,dp); answer += temp; if(last != -1 && secondLast != -1 &&((last > secondLast && last > i)||(last < secondLast && last < i))) answer++; } return dp[N][last][secondLast][bound] = answer; } public static Long callfun(int index ,int pair,int arr[],Long dp[][]) { long mod = (long)998244353l; if(index >= arr.length) return 1l; if(dp[index][pair] != null) return dp[index][pair]; Long sum = 0l , ans = 0l; if(arr[index]%2 == pair) { return dp[index][pair] = callfun(index + 1,pair^1 , arr,dp)%mod + callfun(index + 1 ,pair , arr , dp)%mod; } else { return dp[index][pair] = callfun(index + 1,pair , arr,dp)%mod; } // for(int i =index;i<arr.length;i++) { // sum += arr[i]; // if(sum%2 == pair) { // ans = ans + callfun(i + 1,pair^1,arr , dp)%mod; // ans%=mod; // } // } // return dp[index][pair] = ans; } public static boolean callfun(int index , int n,int neg , int pos , String s) { if(neg < 0 || pos < 0) return false; if(index >= n) return true; if(s.charAt(0) == 'P') { if(neg <= 0) return false; return callfun(index + 1,n , neg-1 , pos , s.charAt(1) + "N"); } else { if(pos <= 0) return false; return callfun(index + 1 , n , neg , pos-1 , s.charAt(1) + "P"); } } public static void getPerm(int n , char arr[] , String s ,List<String>list) { if(n == 0) { list.add(s); return; } for(char ch : arr) { getPerm(n-1 , arr , s+ ch,list); } } public static int getLen(int i ,int j , char s[]) { while(i >= 0 && j < s.length && s[i] == s[j]) { i--; j++; } i++; j--; if(i>j) return 0; return j-i + 1; } public static int getMaxCount(String x) { char s[] = x.toCharArray(); int max = 0; int n = s.length; for(int i =0;i<n;i++) { max = Math.max(max,Math.max(getLen(i , i,s) , getLen(i ,i+1,s))); } return max; } public static double getDis(int arr[][] , int x, int y) { double ans = 0.0; for(int a[] : arr) { int x1 = a[0] , y1 = a[1]; ans += Math.sqrt((x-x1)*(x-x1) + (y-y1)*(y-y1)); } return ans; } public static boolean valid(String x ) { if(x.length() == 0) return true; if(x.length() == 1) return false; char s[] = x.toCharArray(); if(x.length() == 2) { if(s[0] == s[1]) { return false; } return true; } int r = 0 , b = 0; for(char ch : x.toCharArray()) { if(ch == 'R') r++; else b++; } return (r >0 && b >0); } public static long callfun(int day , int k, int limit,int n) { if(k > limit) return 0; if(day > n) return 1; long ans = callfun(day + 1 , k , limit, n)*k + callfun(day + 1,k+1,limit,n)*(k+1); return ans; } public static void primeDivisor(HashMap<Long , Long >cnt , long num) { for(long i = 2;i*i<=num;i++) { while(num%i == 0) { cnt.put(i ,(cnt.getOrDefault(i,0l) + 1)); num /= i; } } if(num > 2) { cnt.put(num ,(cnt.getOrDefault(num,0l) + 1)); } } public static boolean isSubsequene(char a[], char b[] ) { int i =0 , j = 0; while(i < a.length && j <b.length) { if(a[i] == b[j]) { j++; } i++; } return j >= b.length; } public static long fib(int n ,long M) { if (n == 0) { return 0; } else if (n == 1) { return 1; } else { long[][] mat = {{1, 1}, {1, 0}}; mat = pow(mat, n-1 , M); return mat[0][0]; } } public static long[][] pow(long[][] mat, int n ,long M) { if (n == 1) return mat; else if (n % 2 == 0) return pow(mul(mat, mat , M), n/2 , M); else return mul(pow(mul(mat, mat,M), n/2,M), mat , M); } static long[][] mul(long[][] p, long[][] q,long M) { long a = (p[0][0]*q[0][0] + p[0][1]*q[1][0])%M; long b = (p[0][0]*q[0][1] + p[0][1]*q[1][1])%M; long c = (p[1][0]*q[0][0] + p[1][1]*q[1][0])%M; long d = (p[1][0]*q[0][1] + p[1][1]*q[1][1])%M; return new long[][] {{a, b}, {c, d}}; } public static long[] kdane(long arr[]) { int n = arr.length; long dp[] = new long[n]; dp[0] = arr[0]; long ans = dp[0]; for(int i = 1;i<n;i++) { dp[i] = Math.max(dp[i-1] + arr[i] , arr[i]); ans = Math.max(ans , dp[i]); } return dp; } public static void update(int low , int high , int l , int r, int val , int treeIndex ,int tree[]) { if(low > r || high < l || high < low) return; if(l <= low && high <= r) { System.out.println("At " +low + " and " + high + " ans ttreeIndex " + treeIndex); tree[treeIndex] += val; return; } int mid = low + (high - low)/2; update(low , mid , l , r , val , treeIndex*2 + 1, tree); update(mid + 1 , high , l , r , val , treeIndex*2 + 2 , tree); } static int colx[] = {1 ,-1, 0,0 , 1,1,-1,-1}; static int coly[] = {0 ,0, 1,-1,1,-1,1,-1}; public static void reverse(char arr[]) { int i =0 , j = arr.length-1; while(i < j) { swap(i , j , arr); i++; j--; } } public static long[] reverse(long arr[]) { long newans[] = arr.clone(); int i =0 , j = arr.length-1; while(i < j) { swap(i , j , newans); i++; j--; } return newans; } public static long inverse(long x , long mod) { return pow(x , mod -2 , mod); } public static int maxArray(int arr[]) { int ans = arr[0] , n = arr.length; for(int i =1;i<n;i++) { ans = Math.max(ans , arr[i]); } return ans; } public static long maxArray(long arr[]) { long ans = arr[0]; int n = arr.length; for(int i =1;i<n;i++) { ans = Math.max(ans , arr[i]); } return ans; } public static int minArray(int arr[]) { int ans = arr[0] , n = arr.length; for(int i =0;i<n;i++ ) { ans = Math.min(ans ,arr[i]); } return ans; } public static long minArray(long arr[]) { long ans = arr[0]; int n = arr.length; for(int i =0;i<n;i++ ) { ans = Math.min(ans ,arr[i]); } return ans; } public static int sumArray(int arr[]) { int ans = 0; for(int x : arr) { ans += x; } return ans; } public static long sumArray(long arr[]) { long ans = 0; for(long x : arr) { ans += x; } return ans; } public static long rl() { return sc.nextLong(); } public static char[] rac() { return sc.next().toCharArray(); } public static String rs() { return sc.next(); } public static char rc() { return sc.next().charAt(0); } public static int [] rai(int n) { int ans[] = new int[n]; for(int i =0;i<n;i++) { ans[i] = sc.nextInt(); } return ans; } public static long [] ral(int n) { long ans[] = new long[n]; for(int i =0;i<n;i++) { ans[i] = sc.nextLong(); } return ans; } public static int ri() { return sc.nextInt(); } public static int getValue(int num ) { int ans = 0; while(num > 0) { ans++; num = num&(num-1); } return ans; } public static boolean isValid(int x ,int y , int n,char arr[][],boolean visited[][][][]) { return x>=0 && x<n && y>=0 && y <n && !(arr[x][y] == '#'); } // public static Pair join(Pair a , Pair b) { // Pair res = new Pair(Math.min(a.min , b.min) , Math.max(a.max , b.max) , a.count + b.count); // return res; // } // segment tree query over range // public static int query(int node,int l , int r,int a,int b ,Pair tree[] ) { // if(tree[node].max < a || tree[node].min > b) return 0; // if(l > r) return 0; // if(tree[node].min >= a && tree[node].max <= b) { // return tree[node].count; // } // int mid = l + (r-l)/2; // int ans = query(node*2 ,l , mid ,a , b , tree) + query(node*2 +1,mid + 1, r , a , b, tree); // return ans; // } // // segment tree update over range // public static void update(int node, int i , int j ,int l , int r,long value, long arr[] ) { // if(l >= i && j >= r) { // arr[node] += value; // return; // } // if(j < l|| r < i) return; // int mid = l + (r-l)/2; // update(node*2 ,i ,j ,l,mid,value, arr); // update(node*2 +1,i ,j ,mid + 1,r, value , arr); // } public static long pow(long a , long b , long mod) { if(b == 1) return a; if(b == 0) return 1; long ans = pow(a , b/2 , mod)%mod; if(b%2 == 0) { return (ans*ans)%mod; } else { return ((ans*ans)%mod*a)%mod; } } public static long pow(long a , long b ) { if(b == 1) return a; if(b == 0) return 1; long ans = pow(a , b/2); if(b%2 == 0) { return (ans*ans); } else { return ((ans*ans)*a); } } public static boolean isVowel(char ch) { if(ch == 'a' || ch == 'e'||ch == 'i' || ch == 'o' || ch == 'u') return true; if((ch == 'A' || ch == 'E'||ch == 'I' || ch == 'O' || ch == 'U')) return true; return false; } public static int getFactor(int num) { if(num==1) return 1; int ans = 2; int k = num/2; for(int i = 2;i<=k;i++) { if(num%i==0) ans++; } return Math.abs(ans); } public static int[] readarr()throws IOException { int n = sc.nextInt(); int arr[] = new int[n]; for(int i =0;i<n;i++) { arr[i] = sc.nextInt(); } return arr; } public static boolean isPowerOfTwo (long x) { return x!=0 && ((x&(x-1)) == 0); } public static boolean isPrime(long num) { if(num==1) return false; if(num<=3) return true; if(num%2==0||num%3==0) return false; for(long i =5;i*i<=num;i+=6) { if(num%i==0 || num%(i+2) == 0) return false; } return true; } public static boolean isPrime(int num) { // System.out.println("At pr " + num); if(num==1) return false; if(num<=3) return true; if(num%2==0||num%3==0) return false; for(int i =5;i*i<=num;i+=6) { if(num%i==0 || num%(i+2) == 0) return false; } return true; } // public static boolean isPrime(long num) { // if(num==1) return false; // if(num<=3) return true; // if(num%2==0||num%3==0) return false; // for(int i =5;i*i<=num;i+=6) { // if(num%i==0) return false; // } // return true; // } public static long gcd(long a , long b) { if (b == 0) return a; return gcd(b, a % b); } public static int gcd(int a , int b) { if (b == 0) return a; return gcd(b, a % b); } public static int get_gcd(int a , int b) { if (b == 0) return a; return gcd(b, a % b); } public static long get_gcd(long a , long b) { if (b == 0) return a; return gcd(b, a % b); } // public static long fac(long num) { // long ans = 1; // int mod = (int)1e9+7; // for(long i = 2;i<=num;i++) { // ans = (ans*i)%mod; // } // return ans; // } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
f7dec4bcfa1b3979d89e4fb464309017
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Grass{ static Scanner scan; public static void main(String[] args) { scan = new Scanner(System.in); long testCases=scan.nextLong(); for(int i=0; i<testCases; i++){ long initialPosition=scan.nextLong(); long numberOfJumps=scan.nextLong(); System.out.println(findPosition(initialPosition, numberOfJumps)); } } public static long findPosition(long initialPosition, long numberOfJumps){ long repeater=initialPosition-1; if(initialPosition%2==0){ repeater+=2; } long remainingJumps=(long)((numberOfJumps-2)%4); if(numberOfJumps-2<numberOfJumps){ remainingJumps=(long)((numberOfJumps-2+4)%4); } for(long i=(long)(numberOfJumps-remainingJumps+1); i<=numberOfJumps; i++){ if(repeater%2==0){ repeater-=i; }else{ repeater+=i; } } return repeater; } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
faeb08050a44ac2d64704aa38aa86423
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.Scanner; public class B { public static void main(String[] args) { Scanner in = new Scanner(new InputStreamReader(System.in)); PrintWriter out = new PrintWriter(System.out); int T= in.nextInt(); for (int t = 0; t < T; t++) { long x = in.nextLong(); long n = in.nextLong(); long r = n % 4; n -= r; for (int i = 1; i <= r; i++) { if (x % 2 == 0) { x -= (n + i); } else { x += (n + i); } } out.println(x); } out.close(); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
4d9cafe19747648bdf8297fbd99da4ab
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.BufferedReader; import java.io.InputStreamReader; import java.util.*; public class Main{ public static void main(String args[])throws Exception{ BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); StringBuilder result = new StringBuilder(); int testCases = Integer.parseInt(br.readLine()); StringTokenizer str; while(testCases-- > 0){ str = new StringTokenizer(br.readLine()); long x = Long.parseLong(str.nextToken()); long n = Long.parseLong(str.nextToken()); for(long i = n - (n % 4) + 1; i <= n; i++){ if(x % 2 == 0){ x -= i; }else{ x += i; } } result.append(x +"\n"); } System.out.println(result); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
21369840bd05d16262eed10acf094ccb
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.BufferedReader; import java.io.InputStreamReader; import java.util.*; public class OldGrasshopper{ public static void main(String args[])throws Exception{ BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); StringBuilder result = new StringBuilder(); int testCases = Integer.parseInt(br.readLine()); StringTokenizer str; while(testCases-- > 0){ str = new StringTokenizer(br.readLine()); long x = Long.parseLong(str.nextToken()); long n = Long.parseLong(str.nextToken()); for(long i = n - (n % 4) + 1; i <= n; i++){ if(x % 2 == 0){ x -= i; }else{ x += i; } } result.append(x +"\n"); } System.out.println(result); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
0fb9a68d6022e7695e474191f3784c1c
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.io.*; public class Main{ public static void main(String args[]) { Scanner scn = new Scanner (System.in); int x = scn.nextInt(); while(x-->0){ long pos = scn.nextLong(); long t = scn.nextLong(); long z = t/4; if(pos%2==0){ if(t%4==0){ System.out.println(pos); } else if(t%4==1){ System.out.println(pos-(4*z)-1); } else if(t%4==2){ System.out.println(pos+1); } else{ System.out.println(pos+(4*z)+4); } } else{ if(t%4==0){ System.out.println(pos); } else if(t%4==1){ System.out.println(pos+1+(4*z)); } else if(t%4==2){ System.out.println(pos-1); } else{ System.out.println(pos-(4*z)-4); } } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
78cf60f5aa75f8250868e0206720ba5d
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Arrays; import java.util.Scanner; public class Q3 { public static void main(String[] args) { Scanner scanner = new Scanner(System.in); int t = scanner.nextInt(); while (t-- > 0) { long x = scanner.nextLong(); long n = scanner.nextLong(); long rm = n % 4; if (n<4){ for (int i=0;i<=n;i++){ if (x % 2 ==0){ x = x -i; } else { x+=i; } } System.out.println(x); } else { long start = (n - rm) + 1; for (long i = start; i <= n; i++) { if (Math.abs(x) % 2 == 0) { x -= i; } else { x += i; } } System.out.println(x); } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
4995d2a865faac900ddc3870397b9cf9
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class q33 { public static void main(String[] args) { Scanner sc=new Scanner(System.in); int t= sc.nextInt(); for(int i=0;i<t;i++) { long x=sc.nextLong(); long n0_of_jumps= sc.nextLong(); long ans=solution(x,n0_of_jumps); System.out.println(ans); } } public static long solution(long x,long n) { /*for(int i=1;i<=n;i++) { if(Math.abs(x)%2==0) { //even ho to me left jaunga x=x-i; } else { x=x+i; } } return x;*/ long ans=0; if(n%4==0) { ans=x; } else if(n%4==1) { if(x%2==0) { ans=x-n; } else { ans=x+n; } }else if(n%4==2) { if(x%2==0) { ans=x+1; } else { ans=x-1; } } else { long moves=((n+3)/4)*4; if(x%2==0) { ans=x+moves; } else { ans=x-moves; } } return ans; } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
4da7a5c0c3734d6df9095a109a1a2e03
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner scan = new Scanner(System.in); int testCases = scan.nextInt(); while (testCases--!= 0) { long x = scan.nextLong(); long n = scan.nextLong(); if (n == 0) { } else if (x % 2 == 0) { x--; x -= 4 * ((n - 1) / 4); if ((n - 1) % 4 == 1) { x += n; } else if ((n - 1) % 4 == 2) { x += 2 * n - 1; } else if ((n - 1) % 4 == 3) { x += n - 3; } } else { x++; x += 4 * ((n - 1) / 4); if ((n - 1) % 4 == 1) { x -= n; } else if ((n - 1) % 4 == 2) { x -= 2 * n - 1; } else if ((n - 1) % 4 == 3) { x -= n - 3; } } System.out.println(x); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
ef85e755cb51dd1dc6fce17927cc0057
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; /** * Problem: CodeForces 1607B * * @author atulanand */ public class Solution { private static long spot(long initialPosition, long jumpCount) { switch ((int) (jumpCount % 2)) { case 0: switch ((int) (jumpCount % 4)) { case 1: return initialPosition + (initialPosition % 2 == 0 ? -1 : 1) * jumpCount; case 2: return initialPosition + (initialPosition % 2 == 0 ? 1 : -1); case 3: return 1 + (initialPosition % 2 == 0 ? 1 : -1) * (jumpCount + initialPosition); case 0: return initialPosition; } case 1: switch ((int) (jumpCount % 4)) { case 1: return initialPosition + (initialPosition % 2 == 0 ? -1 : 1) * jumpCount; case 2: return initialPosition + (initialPosition % 2 == 0 ? 0 : 1); case 3: return initialPosition + (initialPosition % 2 == 0 ? 1 : -1) * (jumpCount + 1); case 0: return initialPosition + (initialPosition % 2 == 0 ? 1 : 0); } default: return 0; } } public static void main(String[] args) throws IOException { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); int t = inputInt(br); StringBuilder sb = new StringBuilder(); while (t-- > 0) { long[] x = inputLongArray(br); sb.append(spot(x[0], x[1])).append("\n"); } System.out.println(sb); } public static int inputInt(BufferedReader br) throws IOException { return Integer.parseInt(br.readLine().trim()); } public static long inputLong(BufferedReader br) throws IOException { return Long.parseLong(br.readLine().trim()); } public static long[] inputLongArray(BufferedReader br) throws IOException { String[] spec = br.readLine().split(" "); return getInts(spec); } private static long[] getInts(String[] spec) { long[] arr = new long[spec.length]; for (int i = 0; i < spec.length; i++) arr[i] = Long.parseLong(spec[i]); return arr; } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
23513cb4fb9f34889b44a98502932e04
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.io.*; import java.math.*; public class Test { public static void main(String[] args) throws Exception { Scanner s = new Scanner(System.in); int n = s.nextInt(); for (int i = 0; i < n; i++) { long start = s.nextLong(); long jumps = s.nextLong(); long[] indexes = new long[4]; if (start % 2 == 0) { indexes[0] = start; indexes[1] = start - 1; indexes[2] = start + 1; indexes[3] = start + 4; long index = jumps % 4; int index1 = (int)(index); if (index == 0 || index == 2) { System.out.println(indexes[index1]); } else if (index == 1) { long jump = jumps / 4; long result = indexes[1] - 4 * jump; System.out.println(result); } else if (index == 3) { long jump = jumps / 4; long result = indexes[3] + 4 * jump; System.out.println(result); } } else { indexes[0] = start; indexes[1] = start + 1; indexes[2] = start - 1; indexes[3] = start - 4; long index = jumps % 4; int index1 = (int)(index); if (index == 0 || index == 2) { System.out.println(indexes[index1]); } else if (index == 1) { long jump = jumps / 4; long result = indexes[1] + 4 * jump; System.out.println(result); } else if (index == 3) { long jump = jumps / 4; long result = indexes[3] - 4 * jump; System.out.println(result); } } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
e23470187206f72b9fd9b4a08f106e78
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.*; public class oddGrasshopper { public static void main(String args[]) throws IOException { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); int t = Integer.parseInt(br.readLine()); while(t-- > 0) { long x0, n; String[] input = br.readLine().split(" "); x0 = Long.parseLong(input[0]); n = Long.parseLong(input[1]); long fp = x0, i = 0; if(n > 4) i = ((n / 4) * 4) + 1; else i = Math.abs(x0); while(i <= n) { if(fp % 2 == 0) fp -= i; else fp += i; ++i; } System.out.println(fp); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
9409a2ef89ab81fc3c12e5a3a6515aff
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.*; public class oddGrasshopper { public static void main(String args[]) throws IOException { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); int t = Integer.parseInt(br.readLine()); while(t-- > 0) { long x0, n; String[] input = br.readLine().split(" "); x0 = Long.parseLong(input[0]); n = Long.parseLong(input[1]); long a1, a2, an1, an2, fp = x0, i = 0; if(n > 4) i = ((n / 4) * 4) + 1; else i = Math.abs(x0); while(i <= n) { if(fp % 2 == 0) fp -= i; else fp += i; ++i; } System.out.println(fp); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
cecb1f101ad59e9155194d10a7841670
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class B_Odd_Grasshopper{ public static void main(String[] args) { Scanner scan = new Scanner(System.in); int testCases = scan.nextInt(); while(testCases-->0){ long initialPos = scan.nextLong(); long turns = scan.nextLong(); long distance = 0; if(turns%4==0){ distance = initialPos; }else if(turns%4==2){ distance = 1; }else if(turns%4==1){ long t = ((turns-1)/4)+1; if(t==1){ distance = 1; }else{ distance = ((t-1)*4)+1; } distance = distance*-1; }else if(turns%4==3){ distance = ((turns+1)/4)*4; } if(initialPos%2==0){ if(turns%4==0){ System.out.println(initialPos); }else{ System.out.println(initialPos+distance); } }else{ if(turns%4==0){ System.out.println(initialPos); }else{ System.out.println(initialPos-distance); } } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
d2a8240e5a62e87a7565f1bb404a4af7
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.BufferedOutputStream; import java.io.BufferedReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.InputMismatchException; import java.util.StringTokenizer; public class A2 { void solve() { long x0 = clong(); long n = clong(); if (x0 % 2 == 0) { if (n % 4 == 0) { cout(x0); } else if (n % 4 == 1) { cout(x0 - n); } else if (n % 4 == 2) { cout(x0 + 1); } else { cout(x0 + n + 1); } } else { if (n % 4 == 0) { cout(x0); } else if (n % 4 == 1) { cout(x0 + n); } else if (n % 4 == 2) { cout(x0 - 1); } else { cout(x0 - n - 1); } } //cout(value(x0, n)); } long value(long x0, long n) { for (int i = 1; i <= n; i++) { if (x0 % 2 == 0) { x0 -= i; } else { x0 += i; } } return x0; } public static void main(String... args) { int t = in.nextInt(); for (int test = 0; test < t; test++) { new A2().solve(); } out.flush(); } static final QuickReader in = new QuickReader(System.in); static final PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out, 131_072)); static int cint() { return in.nextInt(); } static long clong() { return in.nextLong(); } static String cstr() { return in.nextLine(); } static int[] carr_int(int n) { return in.nextInts(n); } static long[] carr_long(int n) { return in.nextLongs(n); } static void cout(int... a) { StringBuilder buf = new StringBuilder(); for (int i = 0; i < a.length; i++) { if (i != 0) { buf.append(' '); } buf.append(a[i]); } out.println(buf); } static void cout(long... a) { StringBuilder buf = new StringBuilder(); for (int i = 0; i < a.length; i++) { if (i != 0) { buf.append(' '); } buf.append(a[i]); } out.println(buf); } static void cout(Object o) { out.println(o); } static class QuickReader { BufferedReader in; StringTokenizer token; public QuickReader(InputStream ins) { in = new BufferedReader(new InputStreamReader(ins)); token = new StringTokenizer(""); } public boolean hasNext() { while (!token.hasMoreTokens()) { try { String s = in.readLine(); if (s == null) { return false; } token = new StringTokenizer(s); } catch (IOException e) { throw new InputMismatchException(); } } return true; } public String next() { hasNext(); return token.nextToken(); } public String nextLine() { try { String s = in.readLine(); token = new StringTokenizer(""); return s; } catch (IOException e) { throw new InputMismatchException(); } } public int nextInt() { return Integer.parseInt(next()); } public int[] nextInts(int n) { int[] res = new int[n]; for (int i = 0; i < n; i++) { res[i] = nextInt(); } return res; } public long nextLong() { return Long.parseLong(next()); } public long[] nextLongs(int n) { long[] res = new long[n]; for (int i = 0; i < n; i++) { res[i] = nextLong(); } return res; } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
d61953f2b583dc158a6663c4dd4bb10d
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class pariNa { public static void main(String[] args) { Scanner sc=new Scanner(System.in); long t=sc.nextLong(); StringBuilder finalAnswer=new StringBuilder(); outer: while(t-->0) { long a=sc.nextLong(); long b=sc.nextLong(); if(a%2==0) { if(b%4==0) { System.out.println(a); } else if(b%4==3) { System.out.println(a+b+1); } else if(b%4==2) { System.out.println(a+1); } else { System.out.println(a-b); } } else { if(b%4==0) { System.out.println(a); } else if(b%4==3) { System.out.println(-(b-(a-1))); } else if(b%4==2) { System.out.println(a-1); } else { System.out.println(b+a); } } } System.out.println(finalAnswer); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
7a7b168d2891cbe10f06e4e7efa07ea5
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class pariNa { public static void main(String[] args) { Scanner sc=new Scanner(System.in); long t=sc.nextLong(); while(t-->0) { long a=sc.nextLong(); long b=sc.nextLong(); if(b==0) { System.out.println(a); } else if(a%2==0) { if(b%4==0) { System.out.println(a); } else if((b+1)%4==0) { System.out.println(a+(b+1)); } else if((b+2)%4==0) { System.out.println(a+1); } else { System.out.println(a-b); } } else { if(b==1) { System.out.println(a+1); } else if((b-5)%4==0) { System.out.println(a+b); } else if(b%4==0) { System.out.println(a); } else if((b-3)%4==0) { System.out.println(a-(b+1)); } else { System.out.println(a-1); } } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
399b851231a2ab80f49f226bc78f0d7a
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; public class Main { public static void main(String[] args) { Scanner sc = new Scanner(System.in); int t=sc.nextInt(); while(t-->0){ long x=sc.nextLong(),n=sc.nextLong(); if(n%4==0)n=0; else if(n%4==2)n=-1; else if(n%4==3)n=-1-n; if(x%2!=0)System.out.println(x+n); else System.out.println(x-n); } sc.close(); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
d5540e64ea2df7bceceadf8348b40757
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.*; import java.util.*; public class Main { public static void main(String[] args) throws IOException { InputStream inputStream = System.in; OutputStream outputStream = System.out; InputReader in = new InputReader(inputStream); InputReader.OutputWriter out = new InputReader.OutputWriter(outputStream); int t = in.nextInt(); while (t-->0) { long x = in.nextLong(); long n = in.nextLong(); long ost = n%4; if (ost==0) out.println(x); else if(ost == 1){ long m = n/4; if(x%2==0) { out.println(x - m * 4 - 1); } else { out.println(x + m * 4 + 1); } } else if(ost == 2) { if(x%2==0) out.println(x+1); else out.println(x-1); } else { long m = n/4 + 1; if(x%2==0) { out.println(x + m*4); } else { out.println(x-m*4); } } } out.flush(); } private static boolean sameCase(char c, char c1) { return Character.isLowerCase(c) && Character.isLowerCase(c1) || Character.isUpperCase(c) && Character.isUpperCase(c1); } private static boolean sameType(boolean b, char c) { return !b && Character.isLowerCase(c) || b && Character.isUpperCase(c); } static long sum(long a, long b) { long n = b - a + 1; return ((a+b) * n) / 2; } } class InputReader extends BufferedReader { StringTokenizer tokenizer; public InputReader(InputStream inputStream) { super(new InputStreamReader(inputStream), 32768); } public InputReader(String filename) { super(new InputStreamReader(Thread.currentThread().getContextClassLoader().getResourceAsStream(filename))); } public String next() { while (tokenizer == null || !tokenizer.hasMoreTokens()) { try { tokenizer = new StringTokenizer(readLine()); } catch (IOException e) { throw new RuntimeException(); } } return tokenizer.nextToken(); } public Integer nextInt() { return Integer.valueOf(next()); } public Long nextLong() { return Long.valueOf(next()); } public Double nextDouble () { return Double.valueOf(next()); } static class OutputWriter extends PrintWriter { public OutputWriter(OutputStream outputStream) { super(outputStream); } public OutputWriter(Writer writer) { super(writer); } public OutputWriter(String filename) throws FileNotFoundException { super(filename); } public void close() { super.close(); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
083e38acb9a09c220faa987525298b28
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; /** * Write a description of class twentyone here. * * @author (your name) * @version (a version number or a date) */ public class twentyone { public static void main(String[] args) { Scanner in = new Scanner(System.in); System.out.print(""); int t = in.nextInt(); for (int i = 0; i < t; i++) { long x = in.nextLong(); long n = in.nextLong(); if (x % 2 == 0) { if (n % 2 == 0) { if (n == 1 || (n / 2) % 2 == 0) { x = x; } else { x += 1; } } else { if (((n - 1) / 2) % 2 == 0) { x -= n; } else { x += n + 1; } } } else { if (n % 2 == 0) { if ((n / 2) % 2 == 0) { x = x; } else { x -= 1; } } else { if (((n - 1) / 2) % 2 == 0) { x += n; } else { x -= n + 1; } } } System.out.println(x); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
9d0c70f420bb0e944e801b8dd69b26b3
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
// Working program with FastReader import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.util.StringTokenizer; // public class Example { static class FastReader { BufferedReader br; StringTokenizer st; public FastReader() { br = new BufferedReader( new InputStreamReader(System.in)); } String next() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } String nextLine() { String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } } public static void main(String[] args) { FastReader sc = new FastReader(); /// div 2 ==> 24-10-2021; int t = sc.nextInt(); while (t > 0) { t--; long x0=sc.nextLong(); long n = sc.nextLong(); if(x0%2==0){ long a=n%4; if(a==0){ System.out.println(x0); }else if(a==1){ System.out.println(x0-n); }else if(a==2){ System.out.println(x0+1); }else{ System.out.println(x0+n+1); } }else{ long a=n%4; if(a==0){ System.out.println(x0); }else if(a==1){ System.out.println(x0+n); }else if(a==2){ System.out.println(x0-1); }else{ System.out.println(x0-n-1); } } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
a6334146b612a7d0f5e8393afaf021ad
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.lang.*; import java.io.*; /* Name of the class has to be "Main" only if the class is public. */ public class Ideone { public static void main (String[] args) throws java.lang.Exception { Scanner in=new Scanner(System.in); int t=in.nextInt(); while(t-->0) { long x=in.nextLong(); long n=in.nextLong(); System.out.println(print(x,n)); } } public static long print(long x, long n) { if(x%2==0) { if(n%4==0) return x; else if(n%4==1) return x-n; else if(n%4==2) return x+1; else if(n%4==3) return x+n+1; } else { if(n%4==0) return (x); else if(n%4==1) return (x+n); else if(n%4==2) return (x-1); else if(n%4==3) return (x-n-1); } return 0; } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
de2227681e1be24dec829c10a2b58334
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.lang.*; import java.math.*; import java.io.*; public class snackDown3 { public static class FastReader { BufferedReader b; StringTokenizer s; public FastReader() { b=new BufferedReader(new InputStreamReader(System.in)); } String next() { while(s==null ||!s.hasMoreElements()) { try { s=new StringTokenizer(b.readLine()); } catch(IOException e) { e.printStackTrace(); } } return s.nextToken(); } public int nextInt() { return Integer.parseInt(next()); } public long nextLong() { return Long.parseLong(next()); } public double nextDouble() { return Double.parseDouble(next()); } String nextLine() { String str=""; try { str=b.readLine(); } catch(IOException e) { e.printStackTrace(); } return str; } boolean hasNext() { if (s != null && s.hasMoreTokens()) { return true; } String tmp; try { b.mark(1000); tmp = b.readLine(); if (tmp == null) { return false; } b.reset(); } catch (IOException e) { return false; } return true; } } public static void main (String[] args) throws Exception { // your code goes here FastReader sc=new FastReader(); BufferedWriter log = new BufferedWriter(new OutputStreamWriter(System.out)); // OutputStream log = new BufferedOutputStream ( System.out ); int t=sc.nextInt(); while(t--!=0) { long start=sc.nextLong(); long n=sc.nextLong(); long ans=0; if(n>0) { long pairs=(n-1)/4; long rem=(n-1)%4; if(start%2==0) { ans=(start-1)+((-4)*(pairs)); if(rem==3) { ans+=n-3; } else if(rem==2) { ans+=2*n-1; } else if(rem==1) { ans+=n; } } else { ans=(start+1)+(4*pairs); if(rem==3) { ans+=3-n; } else if(rem==2) { ans+=1-2*n; } else if(rem==1) { ans-=n; } } log.write(ans+""); } else log.write(start+""); log.write("\n"); log.flush(); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
688bffde587c750df464db137f9d2d63
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.BufferedReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.io.OutputStream; import java.io.PrintWriter; import java.math.BigDecimal; import java.math.BigInteger; import java.sql.Array; import java.sql.Timestamp; import java.time.LocalDate; import java.time.LocalDateTime; import java.time.ZoneOffset; import java.time.format.DateTimeFormatter; import java.util.*; import java.util.Map.Entry; import java.util.concurrent.atomic.AtomicInteger; import java.util.stream.IntStream; import java.util.stream.Stream; /** * for competitive programming * @author BrolyCode * @version 1.0.0 */ public class CP { static Random random; private static void mySort(int[] s) { for (int i = 0; i < s.length; ++i) { int j = random.nextInt(i + 1); int t = s[i]; s[i] = s[j]; s[j] = t; } Arrays.sort(s); } static class Pair<A,B>{ A x; B y; public Pair(A x, B y) { this.x=x; this.y=y; } } public static void pairSort(Pair[] p, Comparator<? super Pair> c) { Arrays.sort(p, c); } static class Trie { Map<Character,Trie> children; boolean end; public Trie() { children = new HashMap<>(); } } private static void insert(String s, Trie node) { insertRec(s, node, 0); } public static void insertRec(String s, Trie node, int index) { if(index == s.length()){ node.end = true; }else if(node.children.containsKey(s.charAt(index))) { insertRec(s, node.children.get(s.charAt(index)), index + 1); } else { node.children.put(s.charAt(index),new Trie()); insertRec(s, node.children.get(s.charAt(index)), index + 1); } } private static int contains(String s, Trie node) { return containsRec(s, node, 0); } public static int containsRec(String s, Trie node, int index) { if(index == s.length() && node.end == true) return 0; else if(index == s.length()) return 1; else if(node.children.containsKey(s.charAt(index))) { return containsRec(s, node.children.get(s.charAt(index)), index + 1); } else return -1; } public static void main(String[] args) { random = new Random(543534151132L + System.currentTimeMillis()); InputStream inputStream = System.in; OutputStream outputStream = System.out; InputReader in = new InputReader(inputStream); PrintWriter out = new PrintWriter(outputStream); task(in,out); out.close(); } private static void task(InputReader in, PrintWriter out) { int t = in.nextInt(); while(--t >= 0) { long x = in.nextLong(); long n = in.nextLong(); for(long i = n / 4 * 4 + 1; i <= n; i++) { if(x % 2 == 0) { x -= i; } else { x += i; } } out.println(x); } } public static int find(int[] T, int x) { if(x == T[x]) return x; return find(T,T[x]); } public static void add(int[] T, int a, int b) { T[b] = find(T, a); } public static int gcd(int a, int b) { BigInteger b1 = BigInteger.valueOf(a); BigInteger b2 = BigInteger.valueOf(b); BigInteger gcd = b1.gcd(b2); return gcd.intValue(); } public static long gcd(long a, long b) { BigInteger b1 = BigInteger.valueOf(a); BigInteger b2 = BigInteger.valueOf(b); BigInteger gcd = b1.gcd(b2); return gcd.longValue(); } static class InputReader { public BufferedReader reader; public StringTokenizer tokenizer; public InputReader(InputStream stream) { reader = new BufferedReader(new InputStreamReader(stream), 32768); tokenizer = null; } public String next() { while (tokenizer == null || !tokenizer.hasMoreTokens()) { try { tokenizer = new StringTokenizer(reader.readLine()); } catch (IOException e) { throw new RuntimeException(e); } } return tokenizer.nextToken(); } public int nextInt() { return Integer.parseInt(next()); } public long nextLong() { return Long.parseLong(next()); } public double nextDouble() { return Double.parseDouble(next()); } public float nextFloat() { return Float.parseFloat(next()); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
bec25a40b1de6c0b08bb8613583f8999
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner sc=new Scanner(System.in); int t; long zm,n,ans,x,i; t=sc.nextInt(); while (t>0) { zm=sc.nextLong(); n=sc.nextLong(); ans=zm; x=n-(n%4)+1; for (i=x; i<=n; i++) { if (zm%2!=0) {ans+=x; zm=ans;} else {ans-=x; zm=ans;} x++; } System.out.println(ans); t--; } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
b4d05bc47a51b9c2bbc12e0645309467
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class Main { public static void main(String[] args) { Scanner in = new Scanner(System.in); int t = in.nextInt(); long[][] info = new long[t][2]; for (int i = 0; i < t; i++) { info[i][0] = in.nextLong(); info[i][1] = in.nextLong(); } for (int i = 0; i < t; i++) { System.out.println(pivot(info[i][0],info[i][1])); } } static long pivot(long pos,long times) { long pos1=pos; for(long i=times-(times%4)+1;i<=times;i++) { if(pos1%2==0){ pos1-=i; }else{ pos1+=i; } } return pos1; } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
4904f61c3d61dd715aa24913fdc8984a
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.lang.*; import java.io.*; public class Main { public static void main(String[] args) throws java.lang.Exception { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); int t = Integer.parseInt(br.readLine()); while(t-->0) { String w=br.readLine(); String[] inp=w.trim().split("\\s+"); long x= Long.parseLong(inp[0]); long d=Long.parseLong(inp[1]); //odd if(x%2!=0) { if(d%4==0) System.out.println(x); else if(d%4==1) System.out.println(x+d); else if(d%4==2) System.out.println(x-1); else System.out.println(x-d-1); } //even else { if(d%4==0) System.out.println(x); else if(d%4==1) System.out.println(x-d); else if(d%4==2) System.out.println(x+1); else System.out.println(x+d+1); } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
2b83f4f2a04ce54fc53eadd0daa89aff
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.lang.*; import java.io.*; public class Main { public static void main(String[] args) throws java.lang.Exception { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); int t = Integer.parseInt(br.readLine()); while(t-->0) { String w=br.readLine(); String[] inp=w.trim().split("\\s+"); long x= Long.parseLong(inp[0]); long d=Long.parseLong(inp[1]); long a=x; List<Long> l= new ArrayList<>(); for(long i = 0 ; i < 4 ; i++) { long min=i+1; if((a&1) ==1) a+=min; else a-=min; l.add(a); } long temp = d%4; if(temp==2 || temp==0) { if(temp==0) temp+=4; System.out.println(l.get((int) (temp - 1))); } else{ d--; long div = d / 4; if (temp == 1) { if ((x & 1)==1) System.out.println(l.get((0))+ div * 4); else System.out.println(l.get((0))- div * 4); } else { if ((x & 1) ==1) System.out.println(l.get((int) (temp - 1)) - div * 4); else System.out.println(l.get((int) (temp - 1)) + div * 4 ); } } } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
742883ee32238d74ec63450337f7a835
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.io.BufferedReader; import java.io.IOException; import java.io.InputStreamReader; import java.util.ArrayList; import java.util.Collections; import java.util.StringTokenizer; import java.util.*; import java.lang.*; import java.io.*; public class Grasshopper { public static long calculateSum(long startPoint, long numJumps){ long remainingJumps = numJumps%4; long genMultiplier =-1; if(startPoint % 2==0){ genMultiplier = -1; } else{ genMultiplier = 1; } boolean firstElementFound = false; long sum =0; int count=-1; for(long i=numJumps-remainingJumps+1;i<=numJumps;i++){ if(count==2){ genMultiplier*=-1; count=0; } sum+= (genMultiplier*i); if(!firstElementFound){ firstElementFound=true; genMultiplier*=-1; } count+=1; } return sum; } public static void solve(FastScanner fs) { long startPoint = fs.nextLong(); long numJumps = fs.nextLong(); long sum = calculateSum(startPoint,numJumps); System.out.println(startPoint+sum); } public static void main(String args[]) { FastScanner fs = new FastScanner(); int t = 1; t = fs.nextInt(); while (t-- > 0) { solve(fs); } } static class FastScanner { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); StringTokenizer st = new StringTokenizer(""); String next() { while (!st.hasMoreTokens()) try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } int[] readArray(int n) { int[] a = new int[n]; for (int i = 0; i < n; i++) a[i] = nextInt(); return a; } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } String nextLine() { String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
3d53dfee6d29f86052b1b5bde88122af
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.BufferedReader; import java.io.FileNotFoundException; import java.io.FileReader; import java.io.IOException; import java.io.InputStreamReader; import java.util.StringTokenizer; import java.io.OutputStream; import java.io.BufferedOutputStream; import java.util.*; import java.math.BigInteger; public class CodeForces_753_B { public static void main(String[] args)throws Exception{ FastScanner in = new FastScanner();OutputStream out = new BufferedOutputStream ( System.out ); int t=in.nextInt(); while(t-->0){ String[] s=in.nextLine().split(" "); BigInteger x=new BigInteger(s[0]);BigInteger n=new BigInteger(s[1]); BigInteger y=n.mod(BigInteger.valueOf(4)); if(((n.compareTo(BigInteger.valueOf(0)))==0)||(((y.compareTo(BigInteger.valueOf(0)))==0))){ System.out.println(x); continue; } BigInteger ind= n.add(BigInteger.valueOf(1)).subtract(y); BigInteger val=ind;BigInteger i=BigInteger.valueOf(2);ind=ind.add(BigInteger.valueOf(1)); while((i.compareTo(y))<=0){ i=i.add(BigInteger.valueOf(1)); val=val.subtract(ind); ind=ind.add(BigInteger.valueOf(1)); } if(((x.mod(BigInteger.valueOf(2))).compareTo(BigInteger.valueOf(0)))==0) x=x.subtract(val); else x=x.add(val); System.out.println(x); } } public static class FastScanner { BufferedReader br; StringTokenizer st; public FastScanner(String s) { try { br = new BufferedReader(new FileReader(s)); } catch (FileNotFoundException e) { // TODO Auto-generated catch block e.printStackTrace(); } } public FastScanner() { br = new BufferedReader(new InputStreamReader(System.in)); } String nextToken() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { // TODO Auto-generated catch block e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(nextToken()); } long nextLong() { return Long.parseLong(nextToken()); } double nextDouble() { return Double.parseDouble(nextToken()); } String nextLine() { String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } return str; } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
eae4f16ceafbdce10c00f44b3000e135
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.*; import java.util.*; public class P1607B { public static void main(String[] args) throws IOException { MyScanner scanner = new MyScanner(System.in); PrintWriter writer = new PrintWriter(System.out); int t = scanner.nextInt(); while(t != 0) { long x0 = scanner.nextLong(); long n = scanner.nextLong(); long ans = x0; long m = n / 4 * 4 + 1; while (m <= n) { if (ans % 2 == 0) { ans -= m; } else { ans += m; } m++; } writer.println(ans); t--; } writer.close(); } private static class MyScanner { private BufferedReader reader; private StringTokenizer st; public MyScanner(InputStream inputStream) { reader = new BufferedReader(new InputStreamReader(inputStream)); } private String nextToken() throws IOException { while(st == null || !st.hasMoreTokens()) { st = new StringTokenizer(reader.readLine()); } return st.nextToken(); } public int nextInt() throws IOException { return Integer.parseInt(nextToken()); } public long nextLong() throws IOException { return Long.parseLong(nextToken()); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
3465e067cbd7a057987050203d810d86
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.io.*; import java.util.*; public class P1607B { public static void main(String[] args) throws IOException { BufferedReader reader = new BufferedReader(new InputStreamReader(System.in)); PrintWriter writer = new PrintWriter(System.out); String line = reader.readLine(); int t = Integer.parseInt(line); while(t != 0) { line = reader.readLine(); StringTokenizer st = new StringTokenizer(line); long x0 = Long.parseLong(st.nextToken()); long n = Long.parseLong(st.nextToken()); long ans = x0; long m = n / 4 * 4 + 1; while (m <= n) { if (ans % 2 == 0) { ans -= m; } else { ans += m; } m++; } writer.println(ans); t--; } writer.close(); } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
25bdba32bc5e78cfc9e459cb0b587775
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.Scanner; public class oddGrasshopper { public static void main(String[] args) { Scanner s = new Scanner(System.in); int t = s.nextInt(); long arr[] = new long[t]; for(int i=0;i<t;i++){ long x0 = s.nextLong(); long jump = s.nextLong(); arr[i] = finalCoordinate(x0,jump); } for(long i:arr){ System.out.println(i); } } private static long finalCoordinate(long i, long jump) { long prev; long f = i; long a = jump%4; //System.out.println(a); for(long j=jump-a+1;j<=jump;j++){ prev = f; if(prev%2==0) f -= j; else f += j; } return f; } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output
PASSED
e9e2e2aedc4ddd0f0ca749c49d1242ca
train_108.jsonl
1635863700
The grasshopper is located on the numeric axis at the point with coordinate $$$x_0$$$.Having nothing else to do he starts jumping between integer points on the axis. Making a jump from a point with coordinate $$$x$$$ with a distance $$$d$$$ to the left moves the grasshopper to a point with a coordinate $$$x - d$$$, while jumping to the right moves him to a point with a coordinate $$$x + d$$$.The grasshopper is very fond of positive integers, so for each integer $$$i$$$ starting with $$$1$$$ the following holds: exactly $$$i$$$ minutes after the start he makes a jump with a distance of exactly $$$i$$$. So, in the first minutes he jumps by $$$1$$$, then by $$$2$$$, and so on.The direction of a jump is determined as follows: if the point where the grasshopper was before the jump has an even coordinate, the grasshopper jumps to the left, otherwise he jumps to the right.For example, if after $$$18$$$ consecutive jumps he arrives at the point with a coordinate $$$7$$$, he will jump by a distance of $$$19$$$ to the right, since $$$7$$$ is an odd number, and will end up at a point $$$7 + 19 = 26$$$. Since $$$26$$$ is an even number, the next jump the grasshopper will make to the left by a distance of $$$20$$$, and it will move him to the point $$$26 - 20 = 6$$$.Find exactly which point the grasshopper will be at after exactly $$$n$$$ jumps.
256 megabytes
import java.util.*; import java.lang.*; import java.io.*; public class Main { public static void main (String[] args) { FastReader sc = new FastReader(); PrintWriter pr = new PrintWriter(System.out); int t = sc.nextInt(); while(t-- > 0) { long x = sc.nextLong(); long n = sc.nextLong(); pr.println(solve(x, n)); pr.flush(); } } private static long solve(long x, long n) { long d = 0; int m = (int)(n % (long)4); switch (m) { case 1: d = -n; break; case 2: d = 1; break; case 3: d = n + 1; break; } if(x % 2 == 0) { return x + d; } return x - d; } static class FastReader { BufferedReader br; StringTokenizer st; public FastReader() { br = new BufferedReader(new InputStreamReader(System.in)); } String next() { while (st == null || !st.hasMoreElements()) { try { st = new StringTokenizer(br.readLine()); } catch (IOException e) { e.printStackTrace(); } } return st.nextToken(); } int nextInt() { return Integer.parseInt(next()); } long nextLong() { return Long.parseLong(next()); } double nextDouble() { return Double.parseDouble(next()); } } }
Java
["9\n0 1\n0 2\n10 10\n10 99\n177 13\n10000000000 987654321\n-433494437 87178291199\n1 0\n-1 1"]
1 second
["-1\n1\n11\n110\n190\n9012345679\n-87611785637\n1\n0"]
NoteThe first two test cases in the example correspond to the first two jumps from the point $$$x_0 = 0$$$. Since $$$0$$$ is an even number, the first jump of length $$$1$$$ is made to the left, and the grasshopper ends up at the point $$$0 - 1 = -1$$$.Then, since $$$-1$$$ is an odd number, a jump of length $$$2$$$ is made to the right, bringing the grasshopper to the point with coordinate $$$-1 + 2 = 1$$$.
Java 11
standard input
[ "math" ]
dbe12a665c374ce3745e20b4a8262eac
The first line of input contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases. Each of the following $$$t$$$ lines contains two integers $$$x_0$$$ ($$$-10^{14} \leq x_0 \leq 10^{14}$$$) and $$$n$$$ ($$$0 \leq n \leq 10^{14}$$$) — the coordinate of the grasshopper's initial position and the number of jumps.
900
Print exactly $$$t$$$ lines. On the $$$i$$$-th line print one integer — the answer to the $$$i$$$-th test case — the coordinate of the point the grasshopper will be at after making $$$n$$$ jumps from the point $$$x_0$$$.
standard output