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>
#pragma GCC optimize("O3")
#pragma GCC target("sse4")
using namespace std;
#define FOR(a,b) for(int a=0;a<b;a++)
#define F0R(a,b,c) for(int a = b; a<=c; a++)
#define f first
#define s second
#define m0(x) memset(x,0,sizeof(x))
typedef pair<int,int> pi;
typedef long long ll;
typedef vector<int> vi;
typedef vector<pi> vpi;
int n,m;
const int large = 1e5;
vpi edges[large+1];
vpi parents;
vi found;
vi change;
vi ans;
bool ef = 0;
pair<int,pi> ge;
int dfs(int p,int child, int height){
found[child] = height;
int upedge = 0;
int got = 0;
// cerr << child << " " << found[child] << "\n";
for(auto &a: edges[child]){
if(a.f == p){
upedge = a.s; continue;
}
if(!found[a.f]){
got += dfs(child,a.f,height+1);
}else if(found[a.f] < found[child]){
int dist = found[child]-found[a.f];
if(dist&1 || ef){
// cerr << found[child] << " " << found[a.f] << " " << child << " " << a.f << " " << ge.s.f << " " << ge.s.s << "\n";
cout << 0 << "\n";
exit(0);
}else{
ef = 1;
ge = {a.s,{child,a.f}};
}
}
}
parents[child] = {p,upedge};
ans[upedge] = change[child]-got;
return ans[upedge];
}
int main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> n >> m;
if(m > n){
cout << "0\n"; return 0;
}
parents.resize(n+1);
found.resize(n+1);
change.resize(n+1);
ans.resize(m+1);
F0R(i,1,n) cin >> change[i];
F0R(i,1,m){
int u,v; cin >> u >> v;
edges[u].push_back({v,i});
edges[v].push_back({u,i});
}
int rem = dfs(0,1,1);
if(rem&1 || (rem != 0 && ef == 0)){
cout << "0\n"; return 0;
}
if(ef){
int add = rem/2;
if((found[ge.s.s]-1)&1){
add = -add;
}
ans[ge.f] = add;
int ptr = ge.s.f;
bool m1 = 1;
for(; ptr != 1; ){
if(ptr == ge.s.s) add *= 2;
if(m1) ans[parents[ptr].s] -= add;
else ans[parents[ptr].s] += add;
ptr = parents[ptr].f;
m1 = !m1;
}
}
F0R(i,1,m) cout << 2*ans[i] << "\n";
return 0;
}
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