Submission #1053809

# Submission time Handle Problem Language Result Execution time Memory
1053809 2024-08-11T17:53:35 Z codexistent Pipes (BOI13_pipes) C++14
74.0741 / 100
521 ms 100176 KB
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define MAXN 100005
#define MAXM 500005
#define FOR(i, a, b) for(ll i = a; i <= b; i++)
#define f first
#define s second

ll n, m, w[MAXN], d[MAXM];
set<ll> adj[MAXN];
pair<ll, pair<ll, ll>> e[MAXM];
bool v[MAXM];
map<pair<ll, ll>, ll> eid;

int main(){
    cin >> n >> m;
    FOR(i, 1, n) cin >> w[i];
    FOR(i, 1, m){
        e[i].f = 0;
        cin >> e[i].s.f >> e[i].s.s;
        adj[e[i].s.f].insert(e[i].s.s), adj[e[i].s.s].insert(e[i].s.f);

        eid.insert({{min(e[i].s.f, e[i].s.s), max(e[i].s.f, e[i].s.s)}, i});
    }

    priority_queue<pair<ll, ll>> pq;
    FOR(i, 1, m) {
        v[i] = false;
        e[i].f = adj[e[i].s.f].size() + adj[e[i].s.s].size() - 2;
        //cout << "FOR EDGE " << i << " WE HAVE " << e[i].f << " CT " << endl;
        for(auto j : adj[e[i].s.f]){
            if(j != e[i].s.s && adj[j].size() == 2 && adj[e[i].s.s].find(j) != adj[e[i].s.s].end()){
                e[i].f -= 2;
            }
        }

        if(e[i].f == 0){
            pq.push({0, i});
        } else if(adj[e[i].s.f].size() == 1 || adj[e[i].s.s].size() == 1){
            pq.push({1, i});
        }
    }
    while(pq.size()){
        //cout << pq.top().f << " ~ " << pq.top().s << " ==> " << e[pq.top().s].f << endl;
        auto pqi = pq.top(); pq.pop();
        if(v[pqi.s]) continue;
        v[pqi.s] = true;

        if(pqi.f == 0){
            ll s = 0;
            for(ll i2 : adj[e[pqi.s].s.f]) s += w[i2];
            for(ll i2 : adj[e[pqi.s].s.s]) s += w[i2];

            d[pqi.s] = w[e[pqi.s].s.f] + w[e[pqi.s].s.s] - s;
        }else if(adj[e[pqi.s].s.f].size() == 1){
            d[pqi.s] = w[e[pqi.s].s.f] * 2;
        }else{
            d[pqi.s] = w[e[pqi.s].s.s] * 2;
        }

        adj[e[pqi.s].s.f].erase(e[pqi.s].s.s);
        adj[e[pqi.s].s.s].erase(e[pqi.s].s.f);
        w[e[pqi.s].s.f] -= d[pqi.s] / 2;
        w[e[pqi.s].s.s] -= d[pqi.s] / 2;

        if(adj[e[pqi.s].s.f].size() == 2){
            ll a = *(adj[e[pqi.s].s.f].begin());
            ll b = *next(adj[e[pqi.s].s.f].begin(), 1);

            if(eid.find({min(a, b), max(a, b)}) != eid.end()){
                e[eid[{min(a, b), max(a, b)}]].f -= 2;

                if(!v[eid[{min(a, b), max(a, b)}]] && e[eid[{min(a, b), max(a, b)}]].f == 0){
                    pq.push({0, eid[{min(a, b), max(a, b)}]});
                }
            }
        }else if(adj[e[pqi.s].s.f].size() == 1){
            ll a = *(adj[e[pqi.s].s.f].begin());
            if(!v[eid[{min(a, e[pqi.s].s.f), max(a, e[pqi.s].s.f)}]]){
                pq.push({1, eid[{min(a, e[pqi.s].s.f), max(a, e[pqi.s].s.f)}]});
            }
        }

        if(adj[e[pqi.s].s.s].size() == 2){
            ll a = *(adj[e[pqi.s].s.s].begin());
            ll b = *next(adj[e[pqi.s].s.s].begin());

            if(eid.find({min(a, b), max(a, b)}) != eid.end()){
                e[eid[{min(a, b), max(a, b)}]].f -= 2;

                if(!v[eid[{min(a, b), max(a, b)}]] && e[eid[{min(a, b), max(a, b)}]].f == 0){
                    pq.push({0, eid[{min(a, b), max(a, b)}]});
                }
            }
        }else if(adj[e[pqi.s].s.s].size() == 1){
            ll a = *(adj[e[pqi.s].s.s].begin());
            if(!v[eid[{min(a, e[pqi.s].s.s), max(a, e[pqi.s].s.s)}]]){
                pq.push({1, eid[{min(a, e[pqi.s].s.s), max(a, e[pqi.s].s.s)}]});
            }
        }
    }

    FOR(i, 1, m) if(!v[i] || d[i] % 2 == 1){
        cout << 0 << endl;
        return 0;
    } 

    FOR(i, 1, m) cout << d[i] << endl;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct
2 Correct 2 ms 10588 KB Output is correct
3 Correct 2 ms 10844 KB Output is correct
4 Correct 213 ms 30360 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 1 ms 10588 KB Output is correct
7 Correct 2 ms 10584 KB Output is correct
8 Correct 1 ms 10584 KB Output is correct
9 Correct 2 ms 10676 KB Output is correct
10 Correct 3 ms 10868 KB Output is correct
11 Correct 3 ms 10844 KB Output is correct
12 Correct 3 ms 10844 KB Output is correct
13 Correct 161 ms 26868 KB Output is correct
14 Correct 186 ms 29472 KB Output is correct
15 Correct 194 ms 30400 KB Output is correct
16 Correct 164 ms 27852 KB Output is correct
17 Correct 210 ms 30412 KB Output is correct
18 Correct 185 ms 30508 KB Output is correct
19 Correct 190 ms 29780 KB Output is correct
20 Correct 2 ms 10588 KB Output is correct
21 Correct 2 ms 10844 KB Output is correct
22 Correct 201 ms 30504 KB Output is correct
23 Correct 172 ms 26848 KB Output is correct
24 Correct 192 ms 30396 KB Output is correct
25 Correct 162 ms 27600 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 10588 KB Output isn't correct
2 Incorrect 2 ms 10844 KB Output isn't correct
3 Correct 82 ms 28880 KB Output is correct
4 Correct 88 ms 29556 KB Output is correct
5 Correct 100 ms 29840 KB Output is correct
6 Correct 478 ms 100132 KB Output is correct
7 Incorrect 2 ms 10584 KB Output isn't correct
8 Incorrect 1 ms 10588 KB Output isn't correct
9 Correct 1 ms 10588 KB Output is correct
10 Correct 1 ms 10588 KB Output is correct
11 Correct 1 ms 10588 KB Output is correct
12 Correct 1 ms 10588 KB Output is correct
13 Correct 1 ms 10588 KB Output is correct
14 Incorrect 1 ms 10588 KB Output isn't correct
15 Incorrect 2 ms 10844 KB Output isn't correct
16 Incorrect 2 ms 10844 KB Output isn't correct
17 Correct 1 ms 10844 KB Output is correct
18 Correct 1 ms 10844 KB Output is correct
19 Correct 2 ms 10844 KB Output is correct
20 Correct 1 ms 10844 KB Output is correct
21 Correct 3 ms 11100 KB Output is correct
22 Incorrect 2 ms 10844 KB Output isn't correct
23 Incorrect 70 ms 26452 KB Output isn't correct
24 Incorrect 88 ms 29724 KB Output isn't correct
25 Correct 84 ms 28876 KB Output is correct
26 Correct 88 ms 29524 KB Output is correct
27 Correct 73 ms 29268 KB Output is correct
28 Correct 92 ms 30664 KB Output is correct
29 Correct 381 ms 84560 KB Output is correct
30 Incorrect 85 ms 29008 KB Output isn't correct
31 Incorrect 73 ms 29328 KB Output isn't correct
32 Incorrect 106 ms 30276 KB Output isn't correct
33 Correct 90 ms 29644 KB Output is correct
34 Correct 79 ms 29520 KB Output is correct
35 Correct 82 ms 29520 KB Output is correct
36 Correct 92 ms 29908 KB Output is correct
37 Correct 521 ms 100176 KB Output is correct
38 Incorrect 88 ms 29536 KB Output isn't correct
39 Incorrect 104 ms 30152 KB Output isn't correct
40 Incorrect 88 ms 29648 KB Output isn't correct
41 Correct 80 ms 29268 KB Output is correct
42 Correct 70 ms 29264 KB Output is correct
43 Correct 68 ms 29268 KB Output is correct
44 Correct 104 ms 29904 KB Output is correct
45 Correct 472 ms 88704 KB Output is correct
46 Incorrect 91 ms 29268 KB Output isn't correct
47 Incorrect 97 ms 29648 KB Output isn't correct
48 Incorrect 75 ms 29524 KB Output isn't correct
49 Correct 104 ms 29384 KB Output is correct
50 Correct 84 ms 29900 KB Output is correct
51 Correct 89 ms 29648 KB Output is correct
52 Correct 83 ms 29220 KB Output is correct
53 Correct 448 ms 90192 KB Output is correct
54 Incorrect 97 ms 29396 KB Output isn't correct