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 pb push_back
#define ll long long
#define ff first
#define ss second
#define all(s) s.begin(),s.end()
int main(){
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
ll n,m;
cin>>n>>m;
if(m>n){
cout<<0;
return 0;
}
map<pair<ll,ll>,ll>mp;
set<ll>s[n+5];
ll c[n+5],p[n+5];
fill(p,p+n+1,0);
for(ll i=1;i<=n;i++){
cin>>c[i];
}
vector<pair<ll,ll>>edge;
for(ll i=1;i<=m;i++){
ll u,v;
cin>>u>>v;
edge.pb({u,v});
s[u].insert(v);
s[v].insert(u);
p[u]++;
p[v]++;
}
if(m==n-1){
queue<ll>q;
for(ll i=1;i<=n;i++){
if(p[i]==1){
q.push(i);
}
}
for(ll i=1;i<n;i++){
ll x=q.front();
q.pop();
if(p[x]==0){
continue;
}
ll y=*s[x].begin();
mp[{x,y}]=2*c[x];
c[y]-=c[x];
p[y]--;
p[x]--;
s[x].erase(y);
s[y].erase(x);
if(p[y]==1){
q.push(y);
}
}
if(c[q.front()]!=0){
cout<<0;
return 0;
}
for(auto [u,v]:edge){
cout<<mp[{u,v}]+mp[{v,u}]<<"\n";
}
}
else{
queue<ll>q;
ll used[n+5];
fill(used,used+n+1,0);
for(ll i=1;i<=n;i++){
if(p[i]==1){
q.push(i);
}
}
ll cnt=n;
while(!q.empty()){
ll x=q.front();
q.pop();
if(used[x]==1){
continue;
}
used[x]=1;
cnt--;
ll y=*s[x].begin();
mp[{x,y}]=2*c[x];
c[y]-=c[x];
p[y]--;
p[x]--;
s[x].erase(y);
s[y].erase(x);
if(p[y]==1){
q.push(y);
}
}
if(cnt%2==0){
cout<<0;
return 0;
}
vector<ll>node;
ll sum=0;
function <void(ll)> dfs=[&](ll x){
used[x]=1;
node.pb(x);
sum+=c[x];
for(auto y:s[x]){
if(used[y]==0){
dfs(y);
}
}
};
for(ll i=1;i<=n;i++){
if(used[i]==0){
dfs(i);
break;
}
}
sum/=2;
ll sz=node.size();
node.insert(node.end(),all(node));
ll a[sz*2+5];
a[0]=c[node[0]];
a[1]=c[node[1]];
for(ll i=2;i<sz*2;i++){
a[i]=a[i-2]+c[node[i]];
}
for(ll i=0;i<sz;i++){
mp[{node[i],node[i+1]}]=sum-(a[i+(sz-1)]-a[i]);
}
for(auto [u,v]:edge){
cout<<mp[{u,v}]+mp[{v,u}]<<"\n";
}
}
}
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