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Submission #407683

# Submission time Handle Problem Language Result Execution time Memory
407683 2021-05-19T04:18:32 Z talant117408 Duathlon (APIO18_duathlon) C++17
10 / 100
 1000 ms 29116 KB 
/*
    Code written by Talant I.D.
*/
 
#include <bits/stdc++.h>
//~ #include <ext/pb_ds/assoc_container.hpp>
 
//~ using namespace __gnu_pbds;
using namespace std;
 
typedef long long ll;
typedef pair <int, int> pii;
typedef pair <ll, ll> pll;
//~ typedef tree <int, null_type, less <int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
 
#define precision(n) fixed << setprecision(n)
#define pb push_back
#define ub upper_bound
#define lb lower_bound
#define mp make_pair
#define eps (double)1e-9
#define PI 2*acos(0.0)
//~ #define endl "\n"
#define sz(v) int((v).size())
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
#define do_not_disturb ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define OK cout << "OK" << endl;
 
const int mod = 1e9+7;
 
ll mode(ll a) {
    while (a < 0) {
        a += mod;
    }
    return a % mod;
}
 
ll subt(ll a, ll b) {
    return mode(mode(a)-mode(b));
}
 
ll add(ll a, ll b) {
    return mode(mode(a)+mode(b));
}
 
ll mult(ll a, ll b) {
    return mode(mode(a)*mode(b));
}
 
ll binpow(ll a, ll b) {
    ll res = 1;
    while (b) {
        if (b&1) res = mult(res, a);
        a = mult(a, a);
        b >>= 1;
    }
    return res;
}

const int N = 1e5+7;
vector <int> graph[N], comps_graph[N];
map <pii, bool> isBridge;
int timer, ind[N], fup[N], tin[N], used[N];
ll dp[N], ans, val[N], subtree[N];
int n, m, compsn;

void find_bridges(int v, int p = -1) {
    used[v] = 1;
    tin[v] = fup[v] = ++timer;
    for (auto to : graph[v]) {
        if (to == p) {
            continue;
        }
        if (used[to]) {
            fup[v] = min(fup[v], tin[to]);
        }
        else {
            find_bridges(to, v);
            fup[v] = min(fup[v], fup[to]);
            if (fup[to] > tin[v]) {
                isBridge[mp(v, to)] = isBridge[mp(to, v)] = 1;
            }
        }
    }
}

void find_comps(int v, int p = -1) {
    used[v] = 1;
    ind[v] = timer;
    for (auto to : graph[v]) {
        if (to == p) {
            continue;
        }
        if (isBridge[mp(to, v)]) {
            continue;
        }
        if (!used[to]) {
            find_comps(to, v);
        }
    }
}

void dfs(int v, int p = -1) {
    subtree[v] = val[v];
    dp[v] = (val[v] - 1) * (val[v] - 1);
    for (auto to : comps_graph[v]) {
        if (to == p) {
            continue;
        }
        dfs(to, v);
        subtree[v] += subtree[to];
        dp[v] += val[v]*subtree[to]+dp[to];
    }
}

int main() {
    do_not_disturb
    
    cin >> n >> m;
    for (int i = 0; i < m; i++) {
        int x, y;
        cin >> x >> y;
        graph[x].pb(y);
        graph[y].pb(x);
    }
    
    for (int i = 1; i <= n; i++) {
        if (!used[i]) {
            find_bridges(i);
        }
    }
    
    for (int i = 1; i <= n; i++) {
        used[i] = 0;
    }
    timer = 0;
    
    for (int i = 1; i <= n; i++) {
        if (!used[i]) {
            timer++;
            find_comps(i);
        }
    }
    compsn = timer;
    
    for (int i = 1; i <= n; i++) {
        val[ind[i]]++;
        for (auto to : graph[i]) {
            if (ind[to] != ind[i]) {
                comps_graph[ind[to]].pb(ind[i]);
            }
        }
    }
    
    for (int i = 1; i <= compsn; i++) {
        dfs(i);
        ans += val[i]*(val[i]-1)*(val[i]-2);
        for (auto to : comps_graph[i]) {
            ans += (val[i]-1)*(val[i]-1)*subtree[to];
        }
        for (auto to : comps_graph[i]) {
            ans += val[i]*dp[to];
        }
    }
    
    cout << ans;
    
    return 0;
}

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 5068 KB Output is correct
2 Correct 6 ms 5056 KB Output is correct
3 Correct 5 ms 5028 KB Output is correct
4 Correct 4 ms 5020 KB Output is correct
5 Correct 5 ms 4960 KB Output is correct
6 Correct 5 ms 5024 KB Output is correct
7 Incorrect 5 ms 5024 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 5068 KB Output is correct
2 Correct 6 ms 5056 KB Output is correct
3 Correct 5 ms 5028 KB Output is correct
4 Correct 4 ms 5020 KB Output is correct
5 Correct 5 ms 4960 KB Output is correct
6 Correct 5 ms 5024 KB Output is correct
7 Incorrect 5 ms 5024 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #3
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 176 ms 28140 KB Output is correct
2 Correct 176 ms 28124 KB Output is correct
3 Execution timed out 1081 ms 28500 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 5264 KB Output is correct
2 Correct 21 ms 5284 KB Output is correct
3 Correct 23 ms 5260 KB Output is correct
4 Correct 31 ms 5284 KB Output is correct
5 Correct 29 ms 5324 KB Output is correct
6 Correct 28 ms 5196 KB Output is correct
7 Correct 28 ms 5352 KB Output is correct
8 Correct 28 ms 5308 KB Output is correct
9 Correct 25 ms 5288 KB Output is correct
10 Correct 21 ms 5280 KB Output is correct
11 Correct 19 ms 5196 KB Output is correct
12 Correct 14 ms 5160 KB Output is correct
13 Correct 9 ms 5288 KB Output is correct
14 Correct 5 ms 5232 KB Output is correct
15 Correct 5 ms 5156 KB Output is correct
16 Correct 5 ms 5124 KB Output is correct
17 Correct 16 ms 5292 KB Output is correct
18 Correct 15 ms 5288 KB Output is correct
19 Correct 18 ms 5300 KB Output is correct
20 Correct 15 ms 5304 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1078 ms 29052 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 5292 KB Output is correct
2 Correct 23 ms 5400 KB Output is correct
3 Incorrect 11 ms 5196 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1061 ms 29116 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 5068 KB Output is correct
2 Correct 6 ms 5056 KB Output is correct
3 Correct 5 ms 5028 KB Output is correct
4 Correct 4 ms 5020 KB Output is correct
5 Correct 5 ms 4960 KB Output is correct
6 Correct 5 ms 5024 KB Output is correct
7 Incorrect 5 ms 5024 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 5068 KB Output is correct
2 Correct 6 ms 5056 KB Output is correct
3 Correct 5 ms 5028 KB Output is correct
4 Correct 4 ms 5020 KB Output is correct
5 Correct 5 ms 4960 KB Output is correct
6 Correct 5 ms 5024 KB Output is correct
7 Incorrect 5 ms 5024 KB Output isn't correct
8 Halted 0 ms 0 KB -