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 fi first
#define se second
#define pitem item*
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef vector<int> vi;
typedef vector<ll> vl;
const int N=1e6+10;
const int SS=1<<19;
const int INFi=2e9;
const ll INFl=1e13;
const ll mod2=998244353;
const ll mod=1e9+7;
const ll mod3=1000696969;
const ll p=70032301;
const ull p2=913;
const int L=20;
int t[N],ans[N],val[N];
vector<pair<int,int> >graf[N];
vi __curr;
bool vis[N];
void wa(){
cout<<0<<"\n";
exit(0);
}
ll dfs(int v){
if(vis[v]) return 0;
vis[v]=1;
ll sum=0;
for(auto u:graf[v]){
ll curr=dfs(u.fi);
sum+=curr,ans[u.se]=(curr<<1);
}
return (ll)t[v]-sum;
}
void dfs2(int v,vi *c,int o,int num){
if(c->size()) return;
val[v]=num;
if(vis[v]){
c->push_back(v);
while(__curr[__curr.size()-1]!=v) c->push_back(__curr[__curr.size()-1]),__curr.pop_back();
return;
}
vis[v]=1;
__curr.push_back(v);
for(auto u:graf[v]) if(o!=u.fi) dfs2(u.fi,c,v,u.se);
__curr.pop_back();
}
void solve(){
int n,m;
cin>>n>>m;
for(int i=1;i<=n;i++) cin>>t[i];
for(int a,b,i=1;i<=m;i++){
cin>>a>>b;
graf[a].push_back({b,i}),graf[b].push_back({a,i});
}
if(m>n) wa();
if(m==n-1){
if(dfs(1)) wa();
for(int i=1;i<=m;i++) cout<<ans[i]<<"\n";
return;
}
vi c;
dfs2(1,&c,1,0);
if(!(c.size()&1)) wa();
reverse(c.begin(),c.end());
for(int i=1;i<=n;i++) vis[i]=0;
for(int i=0;i<c.size();i++){
int pop=(i==0?c[c.size()-1]:c[i-1]),nxt=(i==c.size()-1?c[0]:c[i+1]);
vis[pop]=1,vis[nxt]=1;
t[c[i]]=dfs(c[i]);
vis[pop]=0,vis[nxt]=0;
}
ll sum1=0,sum2=0;
for(int i=1;i<c.size();i+=2) sum1+=(ll)t[c[i]];
sum1<<=1LL;
for(int i=0;i<c.size();i++) sum2+=(ll)t[c[i]];
ans[val[c[0]]]=sum2-sum1;
if(ans[val[c[0]]]&1LL) wa();
for(int i=1;i<c.size();i++) ans[val[c[i]]]=(t[c[i-1]]-(ans[val[c[i-1]]]>>1))<<1LL;
if(t[c[c.size()-1]]!=((ans[val[c[c.size()-1]]]+ans[val[c[0]]])>>1)) wa();
for(int i=1;i<=m;i++) cout<<ans[i]<<"\n";
}
int main(){
ios_base::sync_with_stdio(0),cin.tie(0);
int tt=1;
while(tt--) solve();
}
Compilation message (stderr)
pipes.cpp: In function 'void solve()':
pipes.cpp:70:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
70 | for(int i=0;i<c.size();i++){
| ~^~~~~~~~~
pipes.cpp:71:51: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
71 | int pop=(i==0?c[c.size()-1]:c[i-1]),nxt=(i==c.size()-1?c[0]:c[i+1]);
| ~^~~~~~~~~~~~
pipes.cpp:77:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
77 | for(int i=1;i<c.size();i+=2) sum1+=(ll)t[c[i]];
| ~^~~~~~~~~
pipes.cpp:79:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
79 | for(int i=0;i<c.size();i++) sum2+=(ll)t[c[i]];
| ~^~~~~~~~~
pipes.cpp:82:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
82 | for(int i=1;i<c.size();i++) ans[val[c[i]]]=(t[c[i-1]]-(ans[val[c[i-1]]]>>1))<<1LL;
| ~^~~~~~~~~
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