# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|
20019 | | emppu | 트리 (kriii4_X) | C++14 | | 169 ms | 10812 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <ctime>
#include <cstring>
#include <cassert>
#include <algorithm>
#include <vector>
#include <string>
#include <set>
#include <map>
#include <queue>
#include <deque>
#include <list>
#include <bitset>
#include <tuple>
using namespace std;
#define f0(_X,_Y) for(int (_X)=0;(_X)<(_Y);++(_X))
#define f1(_X,_Y) for(int (_X)=1;(_X)<=(_Y);++(_X))
#define ff(_X,_Y,_Z) for(int (_X)=(_Y);(_X)<=(_Z);++(_X))
#define fF(_X,_Y,_Z) for(int (_X)=(_Y);(_X)<(_Z);++(_X))
#define rf0(_X,_Y) for(int _X=(_Y)-1;(_X)>=0;--(_X))
#define rf1(_X,_Y) for(int _X=(_Y);(_X)>0;--(_X))
#define rff(_X,_Y,_Z) for(int _X=(_Y);(_X)>=(_Z);--(_X))
#define rfF(_X,_Y,_Z) for(int _X=(_Y);(_X)>(_Z);--(_X))
#define PRT(_X) std::cout<< #_X ": "<<_X<<std::endl;
#define scan1(_X) scanf("%d",&_X);
#define scan2(_X,_Y) scanf("%d%d",&_X,&_Y);
#define scan3(_X,_Y,_Z) scanf("%d%d%d",&_X,&_Y,&_Z);
#define define1(_1) int _1; scan1(_1)
#define define2(_1,_2) int _1,_2; scan2(_1,_2)
#define define3(_1,_2,_3) int _1,_2,_3; scan3(_1,_2,_3)
#define EXPAND(_1) _1
#define SELECT(_1,_2,_3,_4,NAME,...) NAME
#define scan(...) EXPAND(SELECT(__VA_ARGS__, scan4, scan3, scan2, scan1)(__VA_ARGS__))
#define define(...) EXPAND(SELECT(__VA_ARGS__, define4, define3, define2, define1)(__VA_ARGS__))
#define print(_X) printf("%d\n",_X)
#define PAIR_STRUCT(_T,_X,_Y,...) struct _T{int _X,_Y,##__VA_ARGS__; bool friend operator < (const _T &p, const _T &q){if(p._X!=q._X) return p._X<q._X; return p._Y<q._Y;}}
typedef long long ll;
const int MOD = 1000000007;
ll mul(ll a, ll b){return a*b%MOD;}
ll add(ll a, ll b){return (a+b)%MOD;}
ll inv(ll a, ll b=MOD)
{
ll s = 0; ll old_s = 1;
ll r = b; ll old_r = a;
while (r!=0)
{
ll quotient = old_r / r;
tie(old_r, r) = make_tuple(r, old_r - quotient * r);
tie(old_s, s) = make_tuple(s, old_s - quotient * s);
}
ll inv = old_s%MOD;
if(inv<0) inv += MOD;
return inv;
}
const int N = 200002;
map<int,int> no;
int r[N],sz[N];
int root(int node)
{
if(r[node]) return r[node]=root(r[node]);
return node;
}
ll powmod(ll a, ll b)
{
a %= MOD;
b %= MOD-1;
ll p = 1;
ll sq = a;
for(int i=1;i<=b;i*=2)
{
if(b&i)
{
p = mul(p,sq);
}
sq = mul(sq,sq);
}
return p;
}
int main()
{
define(n,m);
int cnt=0;
bool cycle = false;
f1(i,m)
{
define(s,e);
if(no.find(s)==no.end()) no[s]=++cnt, s=cnt, sz[cnt]=1; else s=no[s];
if(no.find(e)==no.end()) no[e]=++cnt, e=cnt, sz[cnt]=1; else e=no[e];
int r1 = root(s);
int r2 = root(e);
if(r1!=r2)
{
r[r2]=r1;
sz[r1]+=sz[r2];
}
else
{
cycle=true;
break;
}
}
if(cycle)
{
print(0);
return 0;
}
if(m==n-1)
{
print(1);
return 0;
}
ll ans=1;
f1(i,cnt) if(r[i]==0) ans=mul(ans,sz[i]);
ans = mul(ans,powmod(n,n-m-2));
printf("%lld\n",ans);
return 0;
}
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