Submission #383228

# Submission time Handle Problem Language Result Execution time Memory
383228 2021-03-29T08:54:27 Z fammo Pipes (BOI13_pipes) C++11
74.0741 / 100
287 ms 30192 KB
#include <bits/stdc++.h>

using namespace std;
typedef pair<int, int> pii;
typedef long long ll;
typedef long double ld;
#define X first
#define Y second
#define pb push_back
#define fastio ios_base::sync_with_stdio(0);cin.tie(nullptr);cout.tie(nullptr);
#define rndom mt19937 rng(chrono::steady_clock::now().time_since_epoch().count())

#define endl '\n'
//#define int long long
const int  N = 100 * 1000 + 20, L = 20, M = 100 * 1000 + 20;////////////////ya5e5
int n, m, c[N], ans[M], a[N], h[N], par[N];
vector<int>adj[N], ind[N];
int edg[N];
void dfst(int v, int p){
    int id = -1;
    for(int i = 0; i < (int)adj[v].size(); i ++){
        int u = adj[v][i], ed = ind[v][i];
        if(u == p){id = ed; continue;}
        dfst(u, v);
        a[v] -= ans[ed];
    }
    if(id!= -1)ans[id] = a[v], a[v] = 0;
}
void solvetree(){
    dfst(0, -1);
    for(int i = 0; i < n; i ++)if(a[i] != 0){cout << 0 << endl; exit(0);}
    for(int i = 0; i < m; i ++)cout << ans[i] << endl;
    exit(0);
}
bool mark[N], dead[M], cyc[M], leaf[N];
int S = -1, deg[N], sz = 0;
void markcyc(int v, int u){//cyc u --- v(-backedge-)u
    if(h[u] < h[v])swap(u,v);
    while(u != v){
        cyc[edg[par[u]]] = 1;
        u = par[u];
    }return;
}
void pre(int v, int id = -1){
    mark[v] = 1;
    for(int i = 0; i < (int)adj[v].size() ; i ++){
        int u = adj[v][i], ed = ind[v][i];
        //cout << "ADJ " << u << " VIA " << ed << endl;
        if(ed == id)continue;
        if(!mark[u]){
            par[u] = v;
            h[u] = h[v] + 1;
            pre(u, ed);
        }
    }
    edg[v] = id;return;
}
void findcyc(int v, int id = -1){
   // cout << "HERE " << v << " FROM " << id << endl;
    mark[v] = 1;
    for(int i = 0; i < (int)adj[v].size() ; i ++){
        int u = adj[v][i], ed = ind[v][i];
        //cout << "ADJ " << u << " VIA " << ed << endl;
        if(ed == id)continue;
        if(mark[u]){
            if((h[v] - h[u])%2){
               // cout << "h" <<v << " -h" << u << " = " << h[v] -h[u] << endl;
                cout << 0 << endl;
                exit(0);
            }
            cyc[ed] = 1;
            S=v;sz = abs(h[u]-h[v])+1;
            markcyc(v,u);
        }else{
            par[u] =v;
            h[u] = h[v] + 1;
            findcyc(u, ed);
        }
    }
    return;
}
int32_t main(){
    fastio;
    ///auto t = clock();
    cin >> n >> m;
    if(m > n) return cout << 0 << endl, 0;
    for(int i = 0; i < n; i ++)cin >> c[i], a[i] = c[i]*2;
    for(int i = 0; i < m; i ++){
        int u, v; cin >> u >> v;
        u --; v --;
        adj[u].pb(v), adj[v].pb(u);deg[u] ++, deg[v] ++;
        ind[u].pb(i), ind[v].pb(i);
    }
    if(m == n - 1) solvetree();
    ////////////////////////////////////////////////////////////////////////////////
    pre(0);
    for(int i = 0; i < n; i ++)mark[i] = 0;
    findcyc(0);
    set<pii>s;
    for(int i= 0; i < n; i ++)s.insert({deg[i], i});
    while(!s.empty()){
        auto it = s.begin();
        int d = it->X, v = it->Y;
        s.erase(s.begin());
        if(d > 1)break;
        for(int i= 0;i  < (int)adj[v].size() ; i ++){
            int u= adj[v][i], ed = ind[v][i]; pii pr ={deg[u], u};
            if(s.find(pr) != s.end()){
                s.erase(pr);deg[u] --;
                s.insert({deg[u],u});
                ans[ed]= a[v]; a[v] = 0;
                a[u]-=ans[ed];
                break;
            }
        }
    }
    vector<int>vec;
    int cur = S, pr = -1;
    for(int t = 0; t < sz; t ++){
        for(int i = 0; i < (int)adj[cur].size(); i ++){
            int u = adj[cur][i], ed =ind[cur][i];
            if(cyc[ed] && u != pr){
                vec.pb(ed);
                if(pr == -1){
                    ans[ed] = 0;
                }else{
                    ans[ed] = a[cur];
                    a[cur]=0;
                    a[u]-=ans[ed];
                }pr= cur; cur = u;goto hell;
            }
        }
        hell:;
    }
    //cout << "S : " << S << ": " << a[S] << endl;
    int df = a[S]/2;
    ans[vec[0]] = df;
    for(int i = 1; i < (int)vec.size(); i ++){ans[vec[i]] -= df; df*=-1;}

    for(int i = 0; i < m; i ++)cout << ans[i] << '\n';
    ///cout << clock() - t << "ms" << endl;
    return 0;

}

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5100 KB Output is correct
2 Correct 4 ms 5100 KB Output is correct
3 Correct 5 ms 5100 KB Output is correct
4 Correct 109 ms 13548 KB Output is correct
5 Correct 4 ms 5100 KB Output is correct
6 Correct 4 ms 5100 KB Output is correct
7 Correct 5 ms 5100 KB Output is correct
8 Correct 5 ms 5228 KB Output is correct
9 Correct 5 ms 5100 KB Output is correct
10 Correct 6 ms 5100 KB Output is correct
11 Correct 5 ms 5100 KB Output is correct
12 Correct 5 ms 5228 KB Output is correct
13 Correct 86 ms 11756 KB Output is correct
14 Correct 112 ms 13036 KB Output is correct
15 Correct 112 ms 13548 KB Output is correct
16 Correct 96 ms 12268 KB Output is correct
17 Correct 118 ms 13548 KB Output is correct
18 Correct 121 ms 13676 KB Output is correct
19 Correct 123 ms 17132 KB Output is correct
20 Correct 4 ms 5100 KB Output is correct
21 Correct 5 ms 5100 KB Output is correct
22 Correct 112 ms 13548 KB Output is correct
23 Correct 87 ms 11756 KB Output is correct
24 Correct 110 ms 13548 KB Output is correct
25 Correct 92 ms 12268 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 4 ms 5100 KB Output isn't correct
2 Incorrect 5 ms 5356 KB Output isn't correct
3 Correct 110 ms 18284 KB Output is correct
4 Correct 4 ms 5100 KB Output is correct
5 Correct 4 ms 5100 KB Output is correct
6 Correct 4 ms 5100 KB Output is correct
7 Incorrect 5 ms 5100 KB Output isn't correct
8 Incorrect 4 ms 5100 KB Output isn't correct
9 Correct 4 ms 5100 KB Output is correct
10 Correct 4 ms 5100 KB Output is correct
11 Correct 4 ms 5100 KB Output is correct
12 Correct 4 ms 5100 KB Output is correct
13 Correct 4 ms 5100 KB Output is correct
14 Incorrect 4 ms 5100 KB Output isn't correct
15 Incorrect 5 ms 5356 KB Output isn't correct
16 Incorrect 6 ms 5228 KB Output isn't correct
17 Correct 5 ms 5228 KB Output is correct
18 Correct 4 ms 5100 KB Output is correct
19 Correct 5 ms 5100 KB Output is correct
20 Correct 5 ms 5100 KB Output is correct
21 Correct 5 ms 5100 KB Output is correct
22 Incorrect 5 ms 5356 KB Output isn't correct
23 Incorrect 168 ms 22944 KB Output isn't correct
24 Incorrect 236 ms 25576 KB Output isn't correct
25 Correct 116 ms 18304 KB Output is correct
26 Correct 4 ms 5100 KB Output is correct
27 Correct 4 ms 5100 KB Output is correct
28 Correct 4 ms 5100 KB Output is correct
29 Correct 4 ms 5100 KB Output is correct
30 Incorrect 210 ms 28740 KB Output isn't correct
31 Incorrect 192 ms 29572 KB Output isn't correct
32 Incorrect 287 ms 21612 KB Output isn't correct
33 Correct 123 ms 19820 KB Output is correct
34 Correct 4 ms 5100 KB Output is correct
35 Correct 4 ms 5100 KB Output is correct
36 Correct 4 ms 5100 KB Output is correct
37 Correct 4 ms 5100 KB Output is correct
38 Incorrect 250 ms 27756 KB Output isn't correct
39 Incorrect 277 ms 20844 KB Output isn't correct
40 Incorrect 236 ms 25064 KB Output isn't correct
41 Correct 130 ms 23276 KB Output is correct
42 Correct 5 ms 5100 KB Output is correct
43 Correct 4 ms 5100 KB Output is correct
44 Correct 4 ms 5100 KB Output is correct
45 Correct 4 ms 5100 KB Output is correct
46 Incorrect 229 ms 30192 KB Output isn't correct
47 Incorrect 287 ms 25320 KB Output isn't correct
48 Incorrect 199 ms 29164 KB Output isn't correct
49 Correct 101 ms 14956 KB Output is correct
50 Correct 4 ms 5100 KB Output is correct
51 Correct 4 ms 5100 KB Output is correct
52 Correct 4 ms 5100 KB Output is correct
53 Correct 4 ms 5100 KB Output is correct
54 Incorrect 281 ms 26860 KB Output isn't correct