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 pb push_back
#define fi first
#define se second
#define pii pair<int, int>
#define pipii pair<int, pair<int, int>>
#define vi vector<int>
#define vpi vector<pair<int, int>>
#define inp(name) if(fopen(name, "r")) freopen(name, "r", stdin);
#define out(name) if(fopen(name, "w")) freopen(name, "w", stdout);
#define int long long
const int N = 1e6 + 5;
const int mod = 1e9 + 7;
using namespace std;
long long n, m, c[N], ans[N];
vpi ad[N];
void dfs(int u, int p, int id = 0)
{
long long res = 0;
for (auto [v, pos] : ad[u])
{
if (v == p) continue;
dfs(v, u, pos);
res += ans[pos];
}
ans[id] = c[u] - res;
}
void sub1()
{
dfs(1, 0);
for (int i = 1; i <= m; ++i)
{
cout << 2 * ans[i] << "\n";
}
}
long long del[N], deg[N], ok[N], tmp, x, root, vis[N];
queue<int> q;
void dfs2(int u, int p, int dau)
{
tmp += dau * c[u];
ok[u] = 1;
for (auto [v, i] : ad[u])
{
if (v == p || del[v]) continue;
if (ok[v] == 0)
{
dfs2(v, u, dau * (-1));
}
else
{
ans[x] = tmp;
root = v;
vis[u] = 1;
break;
}
}
}
void dfs3(int u = root, int p = root, int pos = x)
{
vis[u] = 1;
for (auto [v, i] : ad[u])
{
if (v == p || del[v] || vis[v]) continue;
ans[i] = 2 * c[u] - ans[pos];
dfs3(v, u, i);
}
}
void sub2()
{
for (int i = 1; i <= n; ++i)
{
if (ad[i].size() == 1)
{
q.push(i);
}
deg[i] = ad[i].size();
}
if ((n - q.size()) % 2 == 0)
{
cout << 0;
return;
}
while (!q.empty())
{
int u = q.front(); q.pop();
for (auto [v, i] : ad[u])
{
if (del[v]) continue;
ans[i] = 2 * c[u];
c[v] -= c[u];
deg[v]--;
if (deg[v] == 1)
{
q.push(v);
}
}
del[u] = 1;
}
long long des = -1;
for (int i = 1; i <= n; ++i)
{
if (!del[i])
{
des = i;
break;
}
}
if (des != -1)
{
dfs2(des, des, 1);
dfs3();
}
for (int i = 1; i <= m; ++i)
{
cout << ans[i] << "\n";
}
}
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(0);
cin >> n >> m;
for (int i = 1; i <= n; ++i)
{
cin >> c[i];
}
for (int i = 1; i <= m; ++i)
{
int u, v;
cin >> u >> v;
ad[u].pb({v, i});
ad[v].pb({u, i});
}
if (m > n)
{
cout << 0;
return 0;
}
if (m == (n - 1))
{
sub1();
return 0;
}
sub2();
return 0;
}
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