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 <bits/stdc++.h>
using namespace std;
int n, m;
namespace SUBT1 {
const int N = 1e5+10;
vector<int> g[N];
struct DSU {
vector<int> e;
DSU(int n) {
e=vector<int>(n+1, -1);
}
int get(int x) {
if(e[x] < 0)return x;
return e[x] = get(e[x]);
}
int sz(int x) {
return -e[get(x)];
}
bool unite(int a, int b) {
a=get(a),b=get(b);
if(a == b)return false;
if(-e[a] > -e[b]) {
swap(a,b);
}
e[b]+=e[a];
e[a] = b;
return true;
}
};
void solve() {
cin >> m;
for(int i = 0;i<m;i++) {
int u, v;
cin >> u >> v;
u--,v--;
g[u].push_back(v);
}
int ans=0;
for(int mask = 1;mask<(1<<n);mask++) {
DSU d(n);
int cnt=0;
int f=-1, sz=0;
for(int j = 0;j<n;j++) {
if(mask&(1<<j)) {
sz++;
f=j;
for(int to:g[j]){
if(mask&(1<<to)) {
d.unite(to, j);
cnt++;
}
}
}
}
if(d.sz(f) == sz and cnt==sz-1){
ans++;
}
}
cout << ans <<"\n";
}
}
namespace SUBT2 {
const int N = 1e5+10;
const long long mod = 1e9+7;
long long dp[N];
long long ans=0;
vector<int> g[N];
void dfs(int at, int p) {
dp[at]=1;
long long res=1;
for(int to:g[at]) {
if(to==p)continue;
dfs(to,at);
res*=dp[to];
res%=mod;
}
dp[at]=res;
ans+=dp[at];
dp[at]++;
ans%=mod;
}
void solve() {
cin >> m;
for(int i = 0;i<m;i++) {
int u, v;
cin >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
dfs(1, 0);
cout << ans << "\n";
}
};
int main () {
cin.tie(0)->sync_with_stdio(0);
cin >> n;
if(n <= 20) {
SUBT1::solve();
}
else {
SUBT2::solve();
}
}
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