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>
#define rep(i, a, b) for(int i=(a) ; i<=(b) ; ++i)
#define Task ""
using namespace std;
const int N=300005;
const int mod=1000000007;
int par[N][22], n, m, h[N], d[N], dd[N];
vector <int > g[N];
vector <pair<int, int > > g2[N];
void setup() {
cin >> n >> m;
rep(i, 2, n) {
int u, v; cin >> u >> v;
g[u].push_back(v); g[v].push_back(u);
}
}
void DFS(int u) {
for(int v:g[u]) {
if(v==par[u][0]) continue;
par[v][0]=u;
rep(i, 1, 18) par[v][i]=par[par[v][i-1]][i-1];
d[v]=d[u]+1;
DFS(v);
}
}
int LCA(int u, int v) {
if(d[u]<d[v]) swap(u, v);
int delta=d[u]-d[v];
rep(i, 0, 18) {
if((delta>>i)&1) u=par[u][i];
}
if(u==v) return u;
for(int i=18 ; i>=0 ; --i) {
if(par[u][i]!=par[v][i]) u=par[u][i], v=par[v][i];
}
return par[u][0];
}
int build(int u) {
for(int v:g[u]) {
if(v==par[u][0]) continue;
int val=build(v);
h[u]=min(h[u], val);
if(val<d[u]) {
g2[u].push_back(make_pair(v, 0));
g2[v].push_back(make_pair(u, 0));
}
}
return h[u];
}
bool DFS2(int u, bool color) {
if(dd[u]!=-1) return (dd[u]==color);
dd[u]=color;
for(auto P:g2[u]) {
if(!DFS2(P.first, color^P.second)) return 0;
}
return 1;
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
//freopen(Task".inp", "r", stdin);
//freopen(Task".out", "w", stdout);
setup();
DFS(1);
int ans=1;
rep(i, 1, n) h[i]=d[i];
while(m--) {
int u, v;
cin >> u >> v;
int cha=LCA(u, v);
h[u]=min(h[u], d[cha]);
h[v]=min(h[v], d[cha]);
if(u!=cha&&v!=cha) {
g2[u].push_back(make_pair(v, 1));
g2[v].push_back(make_pair(u, 1));
}
}
build(1);
memset(dd, -1, sizeof dd);
rep(i, 2, n) {
if(dd[i]==-1) {
bool ok=DFS2(i, 0);
if(ok==false) return cout << 0, 0;
ans=(ans*2ll)%mod;
}
}
cout << ans;
return 0;
}
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