Zeta-Nim Game CodeChef Solution

Problem -Zeta-Nim Game CodeChef Solution

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Zeta-Nim Game CodeChef Solution in C++14

#include <bits/stdc++.h>
using namespace std;
int main(int argc, char** argv) {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << fixed << setprecision(12);

    const int MAXN = 2012;
    vector<vector<int>> SG(MAXN +1, vector<int>(MAXN + 1, 0));
    const int N = MAXN + 100;
    vector<char> ok(N + 1, false);

    vector<int> que(MAXN + 10);
    for (int i = 1; i <= MAXN; ++i) {
        int mex = 0;
        int sz = 0;
        for (int j = 1; j <= MAXN; ++j) {
            if (j <= i) {
                int x = SG[i - j][j];
                if (!ok[x]) {
                    ok[x] = true;
                    que[sz++] = x;
                }
            }
            while (ok[mex]) {
                ++mex;
            }
            SG[i][j] = mex;
        }
        for (int j = 0; j < sz; ++j) {
            ok[que[j]] = false;
        }
    }


    int t;
    cin >> t;
    while (t-- > 0) {
        int n;
        cin >> n;
        int K;
        cin >> K;
        vector<int> A(n);
        for (int i = 0; i < n; ++i) {
            cin >> A[i];
        }

        int ans = 0;
        K = min(K, MAXN);
        for (auto x : A) {
            ans ^= SG[x][K];
        }
        if (ans != 0) {
            cout << "Nancy\n";
        } else {
            cout << "Zeta\n";
        }
    }



    return 0;
}

Zeta-Nim Game CodeChef Solution in C

#include<stdio.h>
int G[2015][2015];
int main(){
	int t,k,n,A[55],i,j,B[2015],a,xor=0;

	
		
		for(i=0;i<=2012;i++)G[0][i]=0;
		for(i=1;i<=2012;i++){
			a=0;
			for(j=0;j<=i;j++)B[j]=0;
			for(j=1;j<=i;j++){
				B[G[i-j][j]]=1;
				while(B[a]==1)a++;
				G[i][j]=a;
			}
			for(;j<=2012;j++)G[i][j]=G[i][i];
                 }
		


	scanf("%d",&t);
	while(t--){
		xor=0;
		scanf("%d %d",&n,&k);
		if(k>=2012)k=2012;
		for(i=0;i<n;i++)scanf("%d",&A[i]);
		for(i=0;i<n;i++){xor^=G[A[i]][k];}
		if(xor)printf("Nancy\n");
		else printf("Zeta\n");

	}

return(0);


}

Zeta-Nim Game CodeChef Solution in JAVA

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main{
	public static void main(String[] args) throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String input[];
		int T = Integer.parseInt(br.readLine());
		int N, K;
		int i, j, k;
		int A[];
		int G[][] = new int[2013][2013];
		int points[] = new int[2013];
		long ans = 0;
		int mex;

		for (i = 1; i < 2013; i++) {
			for (j = 0; j <= i; j++) {
				points[j] = 0;
			}
			mex = 0;
			k = 0;
			for (j = 1; j < 2013; j++) {
				if (j <= i) {
					points[G[i - j][j]] = 1;
				}
				while (k <= 2013) {
					if (points[k] == 0) {
						mex = k;
						break;
					}
					k++;
				}
				G[i][j] = mex;
			}
		}

		for (k = 0; k < T; k++) {
			input = br.readLine().split(" ");
			N = Integer.parseInt(input[0]);
			K = Integer.parseInt(input[1]);
			A = new int[N];

			input = br.readLine().split(" ");
			for (i = 0; i < N; i++) {
				A[i] = Integer.parseInt(input[i]);
			}

			ans = 0;
			for (i = 0; i < N; i++) {
				ans ^= G[A[i]][Math.min(A[i], K)];
			}

			if (ans == 0) {
				System.out.println("Zeta");
			} else {
				System.out.println("Nancy");
			}
		}
	}
}

Zeta-Nim Game CodeChef Solution in GO

package main

import (
	"bufio"
	"fmt"
	"os"
)

func readInt(bytes []byte, from int, val *int) int {
	i := from
	sign := 1
	if bytes[i] == '-' {
		sign = -1
		i++
	}
	tmp := 0
	for i < len(bytes) && bytes[i] != ' ' {
		tmp = tmp*10 + int(bytes[i]-'0')
		i++
	}
	*val = tmp * sign
	return i
}

func readNum(scanner *bufio.Scanner) (a int) {
	scanner.Scan()
	readInt(scanner.Bytes(), 0, &a)
	return
}

func readTwoNums(scanner *bufio.Scanner) (a int, b int) {
	res := readNNums(scanner, 2)
	a, b = res[0], res[1]
	return
}

func readNNums(scanner *bufio.Scanner, n int) []int {
	res := make([]int, n)
	filleNNums(scanner, n, res)
	return res
}

func filleNNums(scanner *bufio.Scanner, n int, res []int) {
	x := 0
	scanner.Scan()
	for i := 0; i < n; i++ {
		for x < len(scanner.Bytes()) && scanner.Bytes()[x] == ' ' {
			x++
		}
		x = readInt(scanner.Bytes(), x, &res[i])
	}
}

func main() {
	scanner := bufio.NewScanner(os.Stdin)

	tc := readNum(scanner)

	for tc > 0 {
		tc--
		n, k := readTwoNums(scanner)
		filleNNums(scanner, n, nums)
		res := solve(n, k, nums)
		if res {
			fmt.Println("Nancy")
		} else {
			fmt.Println("Zeta")
		}
	}
}

const MAX = 2013

var grundy [MAX * MAX]int
var nums []int

func init() {
	var used [MAX]bool
	for stones := 1; stones < MAX; stones++ {
		for i := 0; i < MAX; i++ {
			used[i] = false
		}
		var next int
		for k := 1; k < MAX; k++ {
			if stones >= k {
				used[grundy[(stones-k)*MAX+k]] = true
				for next < MAX && used[next] {
					next++
				}
			}
			grundy[stones*MAX+k] = next
		}
	}
	nums = make([]int, 60)
}

func solve(n int, k int, stones []int) bool {
	var res int
	for i := 0; i < n; i++ {
		x := min(stones[i], k)
		res ^= grundy[stones[i]*MAX+x]
	}
	return res != 0
}

func min(a, b int) int {
	if a <= b {
		return a
	}
	return b
}
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