1. 833A The Meaningless Game
大意: 初始分数为$1$, 每轮选一个$k$, 赢的人乘$k^2$, 输的人乘$k$, 给定最终分数, 求判断是否成立.
判断一下$a\cdot b$是否是立方数, 以及能否被那个立方的因子整除即可. cbrt竟然有误差, 特判了一下, 好坑
#include <iostream> #include <sstream> #include <algorithm> #include <cstdio> #include <cmath> #include <set> #include <map> #include <queue> #include <string> #include <cstring> #include <bitset> #include <functional> #include <random> #define REP(i,a,n) for(int i=a;i<=n;++i) #define PER(i,a,n) for(int i=n;i>=a;--i) #define hr putchar(10) #define pb push_back #define lc (o<<1) #define rc (lc|1) #define mid ((l+r)>>1) #define ls lc,l,mid #define rs rc,mid+1,r #define x first #define y second #define io std::ios::sync_with_stdio(false) #define endl '\n' #define DB(a) ({REP(__i,1,n) cout<<a[__i]<<',';hr;}) using namespace std; typedef long long ll; typedef pair<int,int> pii; const int P = 1e9+7, INF = 0x3f3f3f3f; ll gcd(ll a,ll b) {return b?gcd(b,a%b):a;} ll qpow(ll a,ll n) {ll r=1%P;for (a%=P;n;a=a*a%P,n>>=1)if(n&1)r=r*a%P;return r;} ll inv(ll x){return x<=1?1:inv(P%x)*(P-P/x)%P;} inline int rd() {int x=0;char p=getchar();while(p<'0'||p>'9')p=getchar();while(p>='0'&&p<='9')x=x*10+p-'0',p=getchar();return x;} //head int main() { int n; scanf("%d", &n); while (n--) { int a, b; scanf("%d%d", &a, &b); ll x = (ll)a*b, t = cbrt(x); while (t*t*t>x) --t; while (t*t*t<x) ++t; puts(t*t*t==x&&a%t==0&&b%t==0?"Yes":"No"); } }