Submission #673502

#TimeUsernameProblemLanguageResultExecution timeMemory
673502LoboPipes (BOI13_pipes)C++17
65 / 100
190 ms72928 KiB
#include<bits/stdc++.h>
using namespace std;
const long long inf = (long long) 1e18 + 10;
const int inf1 = (int) 1e9 + 10;
#define int long long
#define dbl long double
#define endl '\n'
#define sc second
#define fr first
#define mp make_pair
#define pb push_back
#define all(x) x.begin(), x.end()
const int maxn = 5e5+10;

int n, m, c[maxn], ans[maxn], gr[maxn];
vector<pair<int,int>> g[maxn], g1[maxn];
int sm = 0;
vector<int> vrt;
void dfs(int u, int ant, int cnt) {
    sm+= c[u]*cnt;
    auto V = g[u][0];
    if(V.fr == ant) V = g[u][1];
    int v = V.fr;
    if(v == vrt[0]) return;
    dfs(v,u,cnt*-1);
}

void solve() {
    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;
        g[u].pb(mp(v,i));
        g[v].pb(mp(u,i));
        gr[u]++;
        gr[v]++;
    }

    if(m > n) {
        cout << 0 << endl;
        return;
    }
    queue<int> q;
    for(int i = 1; i <= n; i++) {
        if(gr[i] == 1) q.push(i);
    }

    while(q.size()) {
        int u = q.front(); q.pop();
        gr[u] = -1;
        for(auto V : g[u]) {
            int v = V.fr;
            int id = V.sc;
            if(gr[v] == -1) continue;
            ans[id] = 2*c[u];
            c[v]-= c[u];
            if(--gr[v] == 1) q.push(v);
        }
    }

    if(n == m) {
        for(int i = 1; i <= n; i++) {
            if(gr[i] != -1) {
                vrt.pb(i);
                for(auto V : g[i]) {
                    if(gr[V.fr] != -1) {
                        g1[i].pb(V);
                    }
                }
            }
        }

        if(vrt.size()%2 == 1) {
            dfs(vrt[0],-1,1);
            ans[g1[vrt[0]][1].sc] = sm;
            c[g1[vrt[0]][1].fr]-= sm/2;
            c[vrt[0]]-= sm/2;
            gr[g1[vrt[0]][1].fr]--;
            gr[vrt[0]]--;
            q.push(g1[vrt[0]][1].fr);
            q.push(vrt[0]);
        }
        else {
            assert(0);
        }
        assert(0);

        while(q.size()) {
            int u = q.front(); q.pop();
            gr[u] = -1;
            for(auto V : g[u]) {
                int v = V.fr;
                int id = V.sc;
                if(gr[v] == -1 || id == g1[vrt[0]][1].sc) continue;
                ans[id] = 2*c[u];
                c[v]-= c[u];
                if(--gr[v] == 1) q.push(v);
            }
        }

    }



    for(int i = 1; i <= m; i++) {
        cout << ans[i] << endl;
    }
}

int32_t main() {
    ios::sync_with_stdio(false); cin.tie(0);

    // freopen("in.in", "r", stdin);
    // freopen("out.out", "w", stdout);
    int tt = 1;
    // cin >> tt;
    while(tt--) {
        solve();
    }

}
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