#include "bits/stdc++.h"
using namespace std;
#define ff first
#define ss second
#define all(v) v.begin(), v.end()
#define ll long long
#define pb push_back
#define pii pair<int, int>
#define pli pair<ll, int>
#define pll pair<ll, ll>
#define tr(i, c) for(auto i = c.begin(); i != c.end(); ++i)
#define wr puts("----------------")
template<class T>bool umin(T& a,T b){if(a>b){a=b;return 1;}return 0;}
template<class T>bool umax(T& a,T b){if(a<b){a=b;return 1;}return 0;}
const int N = 1e5+5;
set<pii> adj[N];
ll c[N], ans[N], p[N];
bool vis[N];;
int main(){
int n, m;
scanf("%d%d", &n, &m);
for(int i = 1; i <= n; ++i)
scanf("%lld", c+i);
for(int i = 1; i <= m; ++i){
int a, b;
scanf("%d%d", &a, &b);
adj[a].insert({b, i});
adj[b].insert({a, i});
}
if(m>n){
puts("0");
return 0;
}
queue<int> q;
for(int i = 1; i <= n; ++i)
if((int)adj[i].size()<2)
q.push(i), vis[i]=1;
int cnt = 0;
while(!q.empty()){
int x = q.front();
q.pop();
pii P = *adj[x].begin();
cnt++;
ans[P.ss] += c[x];
c[P.ff] -= c[x];
adj[P.ff].erase({x, P.ss});
if((int)adj[P.ff].size()<2 and !vis[P.ff])
q.push(P.ff), vis[P.ff]=1;
}
/*
m>n => infinity
m=n-1 => cnt=n => always answer
m=n => we will remove all trees under all nodes, (n-cnt)%2==0 => there is even length cycle => infinity,else one answer.
*/
if(cnt<n){
if((n-cnt)%2==0){
puts("0");
return 0; // We found even length cycle
}
int ad = -1;
for(int i = 1; i <= n; ++i)
if(!vis[i])
ad = i;
int x = ad;
vector<int> a, b;
while(x!=ad or a.empty()){
pii P;
if(a.empty() or adj[x].begin()->ff!=a.back())
P = *adj[x].begin();
else
P = *--adj[x].end();
a.pb(x);
b.pb(P.ss);
x = P.ff;
}
int sz = (int)a.size();
ll mal = 0;
p[sz-1] = c[a[sz-1]];
for(int i = n-2; i >= 0; --i)
p[i] = c[a[i]]-p[i+1];
for(int i = 0; i < n; ++i){
mal = c[a[i]]-mal;
if(i<n-1)
ans[b[i]] = (mal+p[i+1])/2;
else
ans[b[i]] = mal/2;
}
}
// cnt!=n => m=n-1 => normal tree
for(int i = 1; i <= m; ++i)
printf("%lld\n", ans[i]*2);
return 0;
}
Compilation message (stderr)
pipes.cpp: In function 'int main()':
pipes.cpp:22:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
22 | scanf("%d%d", &n, &m);
| ~~~~~^~~~~~~~~~~~~~~~
pipes.cpp:24:22: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
24 | scanf("%lld", c+i);
| ~~~~~^~~~~~~~~~~~~
pipes.cpp:27:22: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
27 | scanf("%d%d", &a, &b);
| ~~~~~^~~~~~~~~~~~~~~~
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |