CompetitiveProgramming/codeforces/317/D.cpp at master · phonglnDEV/CompetitiveProgramming · GitHub

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#include <sstream>
#include <iomanip>
#include <iostream>
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <algorithm>
#include <vector>
#include <set>
#include <map>
#include <stack>
#include <queue>
#include <string>
#include <deque>
#include <complex>

#define FOR(i,a,b) for(int i=(a),_b=(b); i<=_b; i++)
#define FORD(i,a,b) for(int i=(a),_b=(b); i>=_b; i--)
#define REP(i,a) for(int i=0,_a=(a); i<_a; i++)
#define ll long long
#define F first
#define S second
#define PB push_back
#define MP make_pair

#define DEBUG(x) cout << #x << " = "; cout << x << endl;
#define PR(a,n) cout << #a << " = "; FOR(_,1,n) cout << a[_] << ' '; cout << endl;
#define PR0(a,n) cout << #a << " = "; REP(_,n) cout << a[_] << ' '; cout << endl;
using namespace std;

//Buffer reading
int INP,AM,REACHEOF;
#define BUFSIZE (1<<12)
char BUF[BUFSIZE+1], *inp=BUF;
#define GETCHAR(INP) { \
    if(!*inp) { \
        if (REACHEOF) return 0;\
        memset(BUF,0,sizeof BUF);\
        int inpzzz = fread(BUF,1,BUFSIZE,stdin);\
        if (inpzzz != BUFSIZE) REACHEOF = true;\
        inp=BUF; \
    } \
    INP=*inp++; \
}
#define DIG(a) (((a)>='0')&&((a)<='9'))
#define GN(j) { \
    AM=0;\
    GETCHAR(INP); while(!DIG(INP) && INP!='-') GETCHAR(INP);\
    if (INP=='-') {AM=1;GETCHAR(INP);} \
    j=INP-'0'; GETCHAR(INP); \
    while(DIG(INP)){j=10*j+(INP-'0');GETCHAR(INP);} \
    if (AM) j=-j;\
}
//End of buffer reading

int grundy[31] = {0,1,2,1,4,3,2,1,5,6,2,1,8,7,5,9,8,7,3,4,7,4,2,1,10,9,3,6,11,12,14};
bool mark[100111];

int main(){
//    freopen("input.txt", "r", stdin);
    int n;
    while (cin >> n) {
        int ln = 1;
        while (ln * ln <= n) ++ln;
        --ln;
//        DEBUG(ln);
        int rev = n - ln;

        memset(mark, false, sizeof mark);
        int sum = 0;
        FOR(i,1,ln) if (!mark[i]) {
            if (i == 1) {
                sum ^= grundy[1];
                continue;
            }
            int t = 1;
            long long p = i;
            while (p * i <= n) {
                p *= i;
                if (p > ln) --rev;
                else mark[p] = true;
                ++t;
            }
//            cout << i << ' ' << t << endl;
            sum ^= grundy[t];
        }
        rev %= 2;

        if (sum ^ rev) puts("Vasya");
        else puts("Petya");
    }
    return 0;
}