제출 #407799

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
407799		talant117408	철인 이종 경기 (APIO18_duathlon)	C++17	0 / 100	1100 ms	27096 KiB

count_triplets

/*
    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];
    for (auto to : comps_graph[v]) {
        if (to == p) {
            continue;
        }
        dfs(to, v);
        subtree[v] += subtree[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);
        for (int j = 1; j <= compsn; j++) {
            if (j == i) {
                ans += (val[i]-1)*(val[i]-1)*(subtree[i]-val[i]);
                ans += (val[i])*(val[i]-1)*(val[i]-2);
            }
            else { 
                ans += val[i]*val[j]*(subtree[j]-val[j]);
                ans += val[i]*(val[j]-1)*(val[j]-1);
            }
        }
    }
    
    cout << ans;
    
    return 0;
}

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