Submission #217647

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
217647	2020-03-30T11:35:44 Z	VEGAnn	Duathlon (APIO18_duathlon)	C++14	66 / 100	254 ms	20604 KB

count_triplets

#include <bits/stdc++.h>
#define all(x) x.begin(),x.end()
#define sz(x) ((int)x.size())
#define PB push_back
#define pii pair<int,int>
#define ft first
#define sd second
#define MP make_pair
using namespace std;
typedef long long ll;
const int N = 100100;
const int M = 200100;
const int oo = 2e9;
vector<int> g[N];
vector<pii> gr[N];
int n, m, tin[N], fup[N], tt = 0, U[M], V[M], pr[N], siz[N];
int nw_siz[N];
bool mrk[N], bridge[M];
ll ans = 0, SZ;

void dfs(int v, int p){
    mrk[v] = 1;
    tin[v] = fup[v] = ++tt;

    for (int nm : g[v]){
        int u = (U[nm] == v ? V[nm] : U[nm]);

        if (u == p) continue;

        if (mrk[u])
            fup[v] = min(fup[v], tin[u]);
        else {
            dfs(u, v);
            fup[v] = min(fup[v], fup[u]);

            if (fup[u] > tin[v])
                bridge[nm] = 1;
        }
    }
}

int get(int x) { return (x == pr[x] ? x : pr[x] = get(pr[x])); }

void dfs1(int v, int p){
    nw_siz[v] = siz[v];
    mrk[v] = 1;

    for (pii u : gr[v]){
        if (u.sd == p) continue;

        dfs1(u.sd, v);
        nw_siz[v] += nw_siz[u.sd];
    }
}

void dfs2(int v, int p){
    ans += ll(siz[v]) * (ll(siz[v]) - 1ll) * (ll(siz[v]) - 2ll) / 2ll; // first

    ans += (SZ - ll(siz[v])) * (ll(siz[v]) - 1ll) * (ll(siz[v]) - 1ll);

    ll sum = 0ll;

    for (int it = 0; it < sz(gr[v]); ){

        int j = it;
        ll sim = 0;

        while (j < sz(gr[v]) && gr[v][it].ft == gr[v][j].ft){
            int u = gr[v][j].sd;
            if (u != p) {
                dfs2(u, v);
                ans += sim * ll(nw_siz[u]);
                sim += ll(nw_siz[u]);
            } else {
                ans += sim * (SZ - ll(nw_siz[v]));
                sim += (SZ - ll(nw_siz[v]));
            }
            j++;
        }

        ans += sum * ll(siz[v]) * sim;

        sum += sim;

        it = j;
    }
}

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);

//    freopen("in.txt","r",stdin);

    cin >> n >> m;

    for (int i = 0; i < m; i++){
        cin >> U[i] >> V[i];
        U[i]--; V[i]--;

        g[U[i]].PB(i);
        g[V[i]].PB(i);
    }

    for (int i = 0; i < n; i++) {
        if (!mrk[i])
            dfs(i, -1);

        pr[i] = i;
        siz[i] = 1;
    }


    for (int i = 0; i < m; i++) {
        if (bridge[i]) continue;

        int x = get(U[i]), y = get(V[i]);

        if (x == y) continue;

        pr[x] = y;
        siz[y] += siz[x];
    }

    for (int i = 0; i < m; i++)
        if (bridge[i]){
            int x = get(U[i]), y = get(V[i]);

            gr[x].PB(MP(U[i], y));
            gr[y].PB(MP(V[i], x));
        }

    fill(mrk, mrk + n, 0);
    for (int i = 0; i < n; i++)
        if (sz(gr[i])){
            sort(all(gr[i]));
        }

    for (int i = 0; i < n; i++){
        if (get(i) != i) continue;
        if (mrk[i]) continue;

        dfs1(i, -1);
        SZ = nw_siz[i];
        dfs2(i, -1);
    }

    cout << ans * 2;

    return 0;
}

Subtask #1
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	8 ms	5120 KB	Output is correct
2	Correct	9 ms	5120 KB	Output is correct
3	Correct	8 ms	5120 KB	Output is correct
4	Correct	8 ms	5120 KB	Output is correct
5	Correct	7 ms	5120 KB	Output is correct
6	Correct	8 ms	5120 KB	Output is correct
7	Correct	8 ms	5120 KB	Output is correct
8	Incorrect	8 ms	5120 KB	Output isn't correct
9	Halted	0 ms	0 KB	-

Subtask #2
0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	8 ms	5120 KB	Output is correct
2	Correct	9 ms	5120 KB	Output is correct
3	Correct	8 ms	5120 KB	Output is correct
4	Correct	8 ms	5120 KB	Output is correct
5	Correct	7 ms	5120 KB	Output is correct
6	Correct	8 ms	5120 KB	Output is correct
7	Correct	8 ms	5120 KB	Output is correct
8	Incorrect	8 ms	5120 KB	Output isn't correct
9	Halted	0 ms	0 KB	-

Subtask #3
8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	121 ms	19704 KB	Output is correct
2	Correct	112 ms	19832 KB	Output is correct
3	Correct	181 ms	17856 KB	Output is correct
4	Correct	132 ms	18936 KB	Output is correct
5	Correct	136 ms	15952 KB	Output is correct
6	Correct	153 ms	17272 KB	Output is correct
7	Correct	182 ms	16092 KB	Output is correct
8	Correct	150 ms	16376 KB	Output is correct
9	Correct	144 ms	15196 KB	Output is correct
10	Correct	177 ms	15352 KB	Output is correct
11	Correct	108 ms	13688 KB	Output is correct
12	Correct	133 ms	13560 KB	Output is correct
13	Correct	99 ms	13432 KB	Output is correct
14	Correct	99 ms	13304 KB	Output is correct
15	Correct	94 ms	12664 KB	Output is correct
16	Correct	124 ms	12408 KB	Output is correct
17	Correct	11 ms	7168 KB	Output is correct
18	Correct	10 ms	7168 KB	Output is correct
19	Correct	11 ms	7168 KB	Output is correct
20	Correct	11 ms	7168 KB	Output is correct
21	Correct	14 ms	7168 KB	Output is correct
22	Correct	10 ms	7168 KB	Output is correct

Subtask #4
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	9 ms	5248 KB	Output is correct
2	Correct	8 ms	5120 KB	Output is correct
3	Correct	8 ms	5120 KB	Output is correct
4	Correct	8 ms	5248 KB	Output is correct
5	Correct	9 ms	5248 KB	Output is correct
6	Correct	8 ms	5248 KB	Output is correct
7	Correct	10 ms	5248 KB	Output is correct
8	Correct	9 ms	5248 KB	Output is correct
9	Correct	8 ms	5248 KB	Output is correct
10	Correct	8 ms	5248 KB	Output is correct
11	Correct	8 ms	5120 KB	Output is correct
12	Correct	8 ms	5248 KB	Output is correct
13	Correct	8 ms	5120 KB	Output is correct
14	Correct	9 ms	5120 KB	Output is correct
15	Correct	8 ms	5120 KB	Output is correct
16	Correct	8 ms	5120 KB	Output is correct
17	Correct	8 ms	5248 KB	Output is correct
18	Correct	8 ms	5248 KB	Output is correct
19	Correct	8 ms	5248 KB	Output is correct
20	Correct	8 ms	5248 KB	Output is correct

Subtask #5
13.0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	149 ms	16248 KB	Output is correct
2	Correct	149 ms	16248 KB	Output is correct
3	Correct	181 ms	16248 KB	Output is correct
4	Correct	157 ms	16376 KB	Output is correct
5	Correct	180 ms	16344 KB	Output is correct
6	Correct	186 ms	20604 KB	Output is correct
7	Correct	184 ms	19448 KB	Output is correct
8	Correct	172 ms	18576 KB	Output is correct
9	Correct	176 ms	17784 KB	Output is correct
10	Correct	160 ms	16248 KB	Output is correct
11	Correct	166 ms	16180 KB	Output is correct
12	Correct	168 ms	16248 KB	Output is correct
13	Correct	171 ms	16312 KB	Output is correct
14	Correct	140 ms	15736 KB	Output is correct
15	Correct	131 ms	15096 KB	Output is correct
16	Correct	99 ms	12872 KB	Output is correct
17	Correct	95 ms	16748 KB	Output is correct
18	Correct	92 ms	16744 KB	Output is correct
19	Correct	89 ms	16632 KB	Output is correct
20	Correct	140 ms	16720 KB	Output is correct

Subtask #6
15.0 / 15.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	9 ms	5248 KB	Output is correct
2	Correct	10 ms	5248 KB	Output is correct
3	Correct	9 ms	5248 KB	Output is correct
4	Correct	8 ms	5120 KB	Output is correct
5	Correct	8 ms	5120 KB	Output is correct
6	Correct	8 ms	5120 KB	Output is correct
7	Correct	8 ms	5120 KB	Output is correct
8	Correct	8 ms	5120 KB	Output is correct
9	Correct	8 ms	5120 KB	Output is correct
10	Correct	9 ms	5120 KB	Output is correct
11	Correct	8 ms	5248 KB	Output is correct
12	Correct	8 ms	5248 KB	Output is correct
13	Correct	9 ms	5248 KB	Output is correct
14	Correct	8 ms	5248 KB	Output is correct
15	Correct	8 ms	5248 KB	Output is correct
16	Correct	8 ms	5120 KB	Output is correct
17	Correct	8 ms	5248 KB	Output is correct
18	Correct	8 ms	5248 KB	Output is correct
19	Correct	8 ms	5120 KB	Output is correct
20	Correct	8 ms	5120 KB	Output is correct
21	Correct	10 ms	5248 KB	Output is correct
22	Correct	8 ms	5120 KB	Output is correct
23	Correct	8 ms	5248 KB	Output is correct
24	Correct	8 ms	5248 KB	Output is correct
25	Correct	8 ms	5120 KB	Output is correct
26	Correct	9 ms	5120 KB	Output is correct
27	Correct	7 ms	5120 KB	Output is correct

Subtask #7
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	156 ms	16520 KB	Output is correct
2	Correct	148 ms	16120 KB	Output is correct
3	Correct	143 ms	15224 KB	Output is correct
4	Correct	130 ms	14328 KB	Output is correct
5	Correct	129 ms	13560 KB	Output is correct
6	Correct	121 ms	13176 KB	Output is correct
7	Correct	129 ms	12920 KB	Output is correct
8	Correct	104 ms	12792 KB	Output is correct
9	Correct	109 ms	12664 KB	Output is correct
10	Correct	103 ms	12664 KB	Output is correct
11	Correct	103 ms	12536 KB	Output is correct
12	Correct	102 ms	12664 KB	Output is correct
13	Correct	117 ms	12640 KB	Output is correct
14	Correct	116 ms	14104 KB	Output is correct
15	Correct	160 ms	18168 KB	Output is correct
16	Correct	254 ms	17656 KB	Output is correct
17	Correct	239 ms	18424 KB	Output is correct
18	Correct	139 ms	16632 KB	Output is correct
19	Correct	141 ms	14332 KB	Output is correct
20	Correct	138 ms	14328 KB	Output is correct
21	Correct	124 ms	14328 KB	Output is correct
22	Correct	137 ms	13816 KB	Output is correct
23	Correct	124 ms	13336 KB	Output is correct
24	Correct	122 ms	15472 KB	Output is correct
25	Correct	121 ms	15732 KB	Output is correct
26	Correct	128 ms	14968 KB	Output is correct
27	Correct	122 ms	14844 KB	Output is correct

Subtask #8
0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	8 ms	5120 KB	Output is correct
2	Correct	9 ms	5120 KB	Output is correct
3	Correct	8 ms	5120 KB	Output is correct
4	Correct	8 ms	5120 KB	Output is correct
5	Correct	7 ms	5120 KB	Output is correct
6	Correct	8 ms	5120 KB	Output is correct
7	Correct	8 ms	5120 KB	Output is correct
8	Incorrect	8 ms	5120 KB	Output isn't correct
9	Halted	0 ms	0 KB	-

Subtask #9
0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	8 ms	5120 KB	Output is correct
2	Correct	9 ms	5120 KB	Output is correct
3	Correct	8 ms	5120 KB	Output is correct
4	Correct	8 ms	5120 KB	Output is correct
5	Correct	7 ms	5120 KB	Output is correct
6	Correct	8 ms	5120 KB	Output is correct
7	Correct	8 ms	5120 KB	Output is correct
8	Incorrect	8 ms	5120 KB	Output isn't correct
9	Halted	0 ms	0 KB	-

Submission #217647

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