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 ;
const int MAX = 1e6 + 10 ;
int arr[MAX] , dpdown[MAX] , dpup[MAX] ;
int n ;
vector< vector<int> >adj(MAX) ;
int Max = 0 ;
void dfs(int node , int par)
{
if(arr[node] == 1)
dpdown[node] = 1 ;
else
dpdown[node] = 0 ;
int a = 0 , b = 0 ;
for(auto &child : adj[node])
{
if(child == par)
continue ;
dfs(child , node) ;
if(dpdown[node])
{
dpdown[node] = max(dpdown[node] , dpdown[child]+1) ;
if(dpdown[child] > a)
b = a , a = dpdown[child] ;
else if(dpdown[child] > b)
b = dpdown[child] ;
}
}
if(arr[node] == 1)
Max = max(Max , a+b+1) ;
}
bool flag = false ;
void dfs2(int node , int par)
{
int cnt = 0 ;
for(auto &child : adj[node])
{
if(child == par)
continue ;
dfs2(child , node) ;
if(arr[node] == 2)
cnt += (dpdown[child] == Max) ;
}
if(cnt > 1)
flag = true ;
return ;
}
void dfs3(int node , int par , int best)
{
dpup[node] = best + 1 ;
if(arr[node] != 1)
{
dpup[node] = 0 ;
for(auto &child : adj[node])
{
if(child == par)
continue ;
dfs3(child , node , 0) ;
}
if(arr[node] == 2)
{
for(auto &child : adj[node])
{
if(child == par)
continue ;
if(dpdown[child] == Max && best == Max)
flag = true ;
}
}
return ;
}
int mx = dpup[node] , c = node ;
for(auto &child : adj[node])
{
if(child == par)
continue ;
if(dpdown[child]+1 > mx)
mx = dpdown[child]+1 , c = child ;
}
for(auto &child : adj[node])
{
if(child == par)
continue ;
if(c != child)
dfs3(child , node , mx) ;
else
{
int mx2 = dpup[node] ;
for(auto &child2 : adj[node])
{
if(child2 == par || child == child2)
continue ;
if(dpdown[child2]+1 > mx2)
mx2 = dpdown[child2]+1 ;
}
dfs3(child , node , mx2) ;
}
}
return ;
}
int main()
{
ios_base::sync_with_stdio(0) ;
cin.tie(0) ;
cin>>n ;
for(int i = 0 ; i < n-1 ; ++i)
{
int x , y ;
cin>>x>>y ;
adj[x].push_back(y) ;
adj[y].push_back(x) ;
}
int cnt = 0 ;
for(int i = 1 ; i <= n ; ++i)
{
cin>>arr[i] ;
cnt += (arr[i] == 1) ;
}
if(!cnt)
return cout<<*min_element(arr+1 , arr+n+1)<<"/"<<1<<"\n" , 0 ;
dfs(1 , -1) ;
int ans = Max ;
dfs2(1 , -1) ;
dfs3(1 , -1 , 0) ;
if(flag == true)
return cout<<2<<"/"<<ans*2+1<<"\n" , 0 ;
else
return cout<<1<<"/"<<ans<<"\n" , 0 ;
}
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