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Submission #974313

# Submission time Handle Problem Language Result Execution time Memory
974313 2024-05-03T08:17:08 Z efedmrlr Duathlon (APIO18_duathlon) C++17
0 / 100
 1000 ms 1048576 KB 
#include <bits/stdc++.h>

#define lli long long int
#define ld long double
#define pb push_back
#define MP make_pair
#define REP(i, n) for(int i = 0; (i) < (n); (i)++)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()

using namespace std;

void fastio() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
}

const int N = 1e5 + 5;
const int INF = 1e9 + 500;
int n, m;
vector<vector<array<int, 2> > > adj(N, vector<array<int, 2> >());
int tim = 0;
vector<int> tin(N, -1), low(N, 0);
vector<array<int, 2> > edg(N);
vector<bool> isBr(N, 0);
vector<int> comp(N, -1), cmpsz(N, 0);
vector<vector<int> > cadj(N, vector<int>());
vector<int> subsz(N, 0);
vector<int> rt;
lli ans = 0;
void find_bridge(int node, int par) {
    tin[node] = low[node] = tim++;
    for(auto c : adj[node]) {
        if(c[0] == par) {
            continue;
        }
        if(tin[c[0]] != -1) {
            low[node] = min(low[node], tin[c[0]]);
        }
        else {
            find_bridge(c[0], node);
            low[node] = min(low[node], low[c[0]]);
            if(low[c[0]] > tin[node]) {
                //bridge
                isBr[c[1]] = 1;
            }
        }
    }
}

void get_comp(int node, int par, int cm) {
    comp[node] = cm;
    cmpsz[cm]++;
    for(auto c : adj[node]) {
        if(c[0] == par || isBr[c[1]]) continue;
        get_comp(c[0], node, cm);
    }
}

void prec(int node, int par) {
    subsz[node] = cmpsz[node];
    for(auto c : cadj[node]) {
        if(c == par) continue;
        prec(c, node);
        subsz[node] += subsz[c];
    }
}

void dfs(int node, int par) {
    lli ret = 0;
    lli x = n - cmpsz[node];
    for(auto c : cadj[node]) {
        if(c == par) {
            int sbt = n - subsz[node];
            ret += 1ll * cmpsz[node] * sbt * (x - sbt); 
            continue;
        }
        int sbt = subsz[c];
        ret += 1ll * cmpsz[node] * sbt * (x - sbt);
        dfs(c, node);
    }
    ans += ret;
}


void solve() {
    cin >> n >> m;
    REP(i, m) {
        int u, v;
        cin >> u >> v;
        edg[i] = {u, v};
        adj[u].pb({v, i});
        adj[v].pb({u, i});
    }    
    for(int i = 1; i <= n; i++) {
        if(tin[i] != -1) continue;
        rt.pb(i);
        find_bridge(1, 0);
    }
    int cur = 1;
    for(int i = 1; i <= n; i++) {
        if(comp[i] == -1) {
            get_comp(i, 0, cur++);
        }
        // cout << "i:" << i << " comp:" << comp[i] << "\n";
    }
    for(int i = 0; i < m; i++) {
        if(isBr[i]) {
            // cout << edg[i][0] << " " << edg[i][1] << "\n";
            cadj[comp[edg[i][0]]].pb(edg[i][1]);
            cadj[comp[edg[i][1]]].pb(edg[i][0]);
        }
    }
    for(auto c : rt) {
        prec(comp[c], 0);
    }
    for(int i = 1; i < cur; i++) {
        ans += 1ll * cmpsz[i] * (cmpsz[i] - 1) * (cmpsz[i] - 2);
    }
    for(int c : rt) {
        
        dfs(comp[c], 0);
    }
    cout << ans << "\n";
}


signed main() {
    fastio();
    solve();
}

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Runtime error 916 ms 1048576 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Runtime error 916 ms 1048576 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1063 ms 940052 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7772 KB Output is correct
2 Correct 4 ms 7772 KB Output is correct
3 Correct 4 ms 7772 KB Output is correct
4 Correct 4 ms 8028 KB Output is correct
5 Correct 4 ms 8028 KB Output is correct
6 Correct 3 ms 7768 KB Output is correct
7 Correct 4 ms 8024 KB Output is correct
8 Correct 4 ms 8004 KB Output is correct
9 Correct 5 ms 8024 KB Output is correct
10 Incorrect 4 ms 8024 KB Output isn't correct
11 Halted 0 ms 0 KB -

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 14744 KB Output is correct
2 Correct 51 ms 14676 KB Output is correct
3 Correct 55 ms 14684 KB Output is correct
4 Correct 52 ms 14672 KB Output is correct
5 Correct 55 ms 14856 KB Output is correct
6 Correct 57 ms 18260 KB Output is correct
7 Correct 58 ms 17236 KB Output is correct
8 Correct 80 ms 16508 KB Output is correct
9 Correct 69 ms 15768 KB Output is correct
10 Incorrect 40 ms 13516 KB Output isn't correct
11 Halted 0 ms 0 KB -

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7768 KB Output is correct
2 Correct 4 ms 7772 KB Output is correct
3 Runtime error 588 ms 1048576 KB Execution killed with signal 9
4 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 14676 KB Output is correct
2 Correct 58 ms 14676 KB Output is correct
3 Runtime error 645 ms 1048576 KB Execution killed with signal 9
4 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Runtime error 916 ms 1048576 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Runtime error 916 ms 1048576 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -