思路
010会分出两种情况100和001
100会分出两种情况100和010
001会分出两种情况100和001
经过i次交换后,可以得到个010
当n为偶数,
当n为奇数,
代码
// Problem: PLEASE // Contest: NowCoder // URL: https://ac.nowcoder.com/acm/problem/111563 // Memory Limit: 524288 MB // Time Limit: 2000 ms // // Powered by CP Editor (https://cpeditor.org) #include <bits/stdc++.h> using namespace std; #define pb push_back #define mp(aa,bb) make_pair(aa,bb) #define _for(i,b) for(int i=(0);i<(b);i++) #define rep(i,a,b) for(int i=(a);i<=(b);i++) #define per(i,b,a) for(int i=(b);i>=(a);i--) #define mst(abc,bca) memset(abc,bca,sizeof abc) #define X first #define Y second #define lowbit(a) (a&(-a)) #define debug(a) cout<<#a<<":"<<a<<"\n" typedef long long ll; typedef pair<int,int> pii; typedef unsigned long long ull; typedef long double ld; const int N=100010; const int INF=0x3f3f3f3f; const int mod=1e9+7; const double eps=1e-6; const double PI=acos(-1.0); ll fpow(ll a,ll b){ if(mod==1) return 0; ll ans=1%mod; while(b){ if(b&1) ans=ans*a%mod; a=a*a%mod; b>>=1; } return ans; } void solve(){ bool ou=0; ll t=2; //t=2^(n-1) int n;cin>>n; rep(i,1,n){ ll a;cin>>a; t=fpow(t,a); if(a%2==0) ou=1; } t=t*fpow(2,mod-2)%mod; if(ou) cout<<(t+1)*fpow(3,mod-2)%mod<<"/"<<t<<"\n"; else cout<<(t-1+mod)%mod*fpow(3,mod-2)%mod<<"/"<<t<<"\n"; } int main(){ ios::sync_with_stdio(0);cin.tie(0); // int t;cin>>t;while(t--) solve(); return 0; }