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 ll long long
const int M=5e5+7;
const int inf=1e9+7;
int color[M],dp[M][3][3],pre[3][3],num_child[M];
vector<vector<int> >a;
int n;
bool minimize(int &a,int b)
{
if(a>b)
{
a=b;
return true;
}
return false;
}
void dfs(int x,int cha)
{
num_child[x]=(!color[x]);
for(int node:a[x])
{
if(node==cha)continue;
dfs(node,x);
num_child[x]+=num_child[node];
}
if(!num_child[x])return ;
dp[x][1-color[x]][0]=1;
dp[x][1-color[x]][1]=1;
dp[x][1-color[x]][2]=1;
for(int node:a[x])
{
if(node==cha||!num_child[node])continue;
for(int new_color=0;new_color<=1;new_color++)
{
for(int type=0;type<=2;type++)pre[new_color][type]=inf;
}
for(int new_color=0;new_color<=1;new_color++)
{
minimize(pre[new_color][0],dp[x][1-new_color][0]+dp[node][1][0]+1);
minimize(pre[new_color][0],dp[x][new_color][0]+dp[node][0][0]+3);
minimize(pre[new_color][1],dp[x][1-new_color][1]+dp[node][1][0]+1);
minimize(pre[new_color][1],dp[x][new_color][1]+dp[node][1][0]+3);
minimize(pre[new_color][1],dp[x][new_color][0]+dp[node][1][1]);
minimize(pre[new_color][1],dp[x][1-new_color][0]+dp[node][0][1]+2);
minimize(pre[new_color][2],dp[x][new_color][1]+dp[node][1][1]);
minimize(pre[new_color][2],dp[x][1-new_color][1]+dp[node][0][1]+2);
minimize(pre[new_color][2],dp[x][new_color][0]+dp[node][0][2]+1);
minimize(pre[new_color][2],dp[x][1-new_color][0]+dp[node][1][2]+3);
minimize(pre[new_color][2],dp[x][1-new_color][2]+dp[node][1][0]+1);
minimize(pre[new_color][2],dp[x][new_color][2]+dp[node][0][0]+3);
}
for(int new_color=0;new_color<=1;new_color++)
{
for(int type=1;type<=2;type++)pre[new_color][type]=min(pre[new_color][type],pre[new_color][type-1]);
}
for(int new_color=0;new_color<=1;new_color++)
{
for(int type=0;type<=2;type++)dp[x][new_color][type]=pre[new_color][type];
}
}
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin>>n;
string s;
cin>>s;
a.resize(n+7);
for(int i=1;i<=n;i++)color[i]=s[i-1]-'0';
for(int i=1;i<=n-1;i++)
{
int x,y;
cin>>x>>y;
a[x].push_back(y);
a[y].push_back(x);
}
for(int node=1;node<=n;node++)
{
for(int new_color=0;new_color<=1;new_color++)
{
for(int type=0;type<=2;type++)dp[node][new_color][type]=inf;
}
}
int start_node=1;
while(color[start_node])start_node++;
dfs(start_node,0);
cout<<dp[start_node][1][2];
}
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