This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <stdio.h>
#include <map>
using namespace std;
const int mod = 1e9+7;
int N, M;
map<int, int> par, cnt;
int F(int x) {
if (!par.count(x)) par[x] = x;
if (par[x] == x) return x;
return (par[x] = F(par[x]));
}
int mul(int x, int y) { return (long long)x * y % mod; }
int fm(int x, int y) {
if (y == 0) return 1;
int r = fm(x, y / 2);
r = mul(r, r);
if (y % 2 == 1) r = mul(r, x);
return r;
}
int main() {
scanf("%d%d", &N, &M);
bool ok = 1;
for (int i = 1; i <= M; i++) {
int x, y; scanf("%d%d", &x, &y);
int px = F(x), py = F(y);
if (px == py) ok = 0;
else par[px] = py;
}
int res = 0;
if (ok) {
for (auto x : par) cnt[F(x.first)]++;
res = fm(N, N - par.size() + cnt.size() - 2);
if (res < 1) res = 1;
for (auto x : cnt) res = mul(res, x.second);
}
printf("%d", res);
}
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