Submission #19258

#TimeUsernameProblemLanguageResultExecution timeMemory
19258kaTkaHr트리 (kriii4_X)C++14
100 / 100
199 ms10300 KiB
#include <stdio.h> #include<vector> #include <algorithm> #include <map> using namespace std; typedef long long ll; const int MX = 200005, MM = 1000000007; ll pw(ll A, ll B){ ll R = 1; while(B){ if( B&1 ) R = R * A % MM; A = A * A % MM; B /= 2; } return R; } ll rv(ll A){ return pw(A, MM-2); } struct frac{ ll A, B; frac(ll A):A(A), B(1){} frac(ll a, ll b){ A = (a%MM+MM) % MM; B = (b%MM+MM) % MM; } frac(){A = 0, B = 1;} frac operator+ (const frac &l)const{ return frac((A * l.B + B * l.A) % MM, B * l.B % MM); } frac operator*(const frac &l)const{ return frac(A*l.A % MM, B*l.B % MM); } frac operator/(const frac &l)const{ return frac(A*l.B % MM, B*l.A % MM); } frac operator- (const frac &l)const{ return frac((A*l.B - B*l.A%MM + MM) % MM, B*l.B % MM); } ll v(){ return A * rv(B) % MM; } }; map<int, int> label; struct UF{ int p[MX], cnt[MX]; UF(){ fill(cnt, cnt+MX, 1); } int find(int x){ return !p[x]? x : p[x] = find(p[x]); } int merge(int x, int y){ x = find(x), y = find(y); if( x == y ) return false; p[x] = y; cnt[y] += cnt[x]; return true; } }uf; int main() { int N, M, cnt = 0; scanf("%d%d", &N, &M); for(int i = 1; i <= M; i++){ int A, B; scanf("%d%d", &A, &B); if( label[A] == 0 ) label[A] = ++cnt; if( label[B] == 0 ) label[B] = ++cnt; A = label[A], B = label[B]; if( !uf.merge(A, B) ) return !printf("0"); } frac ans = 1, tot = 0; for(int i = 1; i <= cnt; i++){ if( i == uf.find(i) ) ans = ans * uf.cnt[i]; } ans = ans * pw(N, N-M-2); if(M+1 == N) return !printf("1"); printf("%lld\n", ans.v()); }
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