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;
#define int long long
const int mod = 1e9 + 7;
int power(int a,int b)
{
int ans=1;
while (b)
{
if (b&1)
ans=ans*a%mod;
a=a*a%mod;
b>>=1;
}
return ans;
}
const int M = 5001;
vector<int> nei[M],prs[M],fir[M],sec[M];
unordered_map<int,int> ind;
int dep[M],par[M],dir[M],ans=1;
bool vis[M];
int val(int u,int v)
{
return min(u,v)*(M-1)+u+v;
}
void dfs(int u)
{
for (int i:nei[u])
if (i!=par[u])
{
par[i]=u;
dep[i]=dep[u]+1;
dfs(i);
}
}
void lca(int u,int v,int i)
{
while (dep[u]>dep[v])
{
int x=val(u,par[u]);
fir[i].push_back(ind[x]);
prs[ind[x]].push_back(i);
u=par[u];
}
while (dep[v]>dep[u])
{
int x=val(v,par[v]);
sec[i].push_back(ind[x]);
prs[ind[x]].push_back(-i);
v=par[v];
}
while (u!=v)
{
int x=val(u,par[u]);
fir[i].push_back(ind[x]);
prs[ind[x]].push_back(i);
u=par[u];
x=val(v,par[v]);
sec[i].push_back(ind[x]);
prs[ind[x]].push_back(-i);
v=par[v];
}
}
void make_path(int id,int dr)
{
if (vis[id])
return;
vis[id]=1;
for (int i:fir[id])
{
if (dir[i] && dir[i]!=dr)
ans=0;
dir[i]=dr;
}
for (int i:sec[id])
{
if (dir[i] && dir[i]!=3-dr)
ans=0;
dir[i]=3-dr;
}
for (int i:fir[id])
for (int j:prs[i])
{
if (j>0)
make_path(j,dr);
else
make_path(-j,3-dr);
}
for (int i:sec[id])
for (int j:prs[i])
{
if (j>0)
make_path(j,3-dr);
else
make_path(-j,dr);
}
}
signed main()
{
int n,m;
cin>>n>>m;
if (n<=5000)
{
for (int i=1;i<n;i++)
{
int u,v;
cin>>u>>v;
nei[u].push_back(v);
nei[v].push_back(u);
ind[val(u,v)]=i;
}
dfs(1);
int a[m+1],b[m+1];
for (int i=1;i<=m;i++)
{
cin>>a[i]>>b[i];
lca(a[i],b[i],i);
}
for (int i=1;i<=m;i++)
{
if (!vis[i])
{
make_path(i,1);
ans=ans*2%mod;
}
}
for (int i=1;i<n;i++)
if (!dir[i])
ans=ans*2%mod;
cout<<ans<<endl;
}
return 0;
}
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