oj.uz

Submission #963710

# Submission time Handle Problem Language Result Execution time Memory
963710 2024-04-15T14:04:13 Z GrindMachine Making Friends on Joitter is Fun (JOI20_joitter2) C++17
17 / 100
 517 ms 97552 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
 
using namespace std;
using namespace __gnu_pbds;
 
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
 
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
 
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
 
template<typename T>
void amin(T &a, T b) {
    a = min(a,b);
}
 
template<typename T>
void amax(T &a, T b) {
    a = max(a,b);
}
 
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
 
/*
 
read some solutions some time ago, remember some ideas from there
 
*/
 
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;

ll ans = 0;

struct DSU {
    vector<int> par, rankk, siz;
    vector<set<int>> inc, out;
    vector< map<int,set<int>> > inc_nodes;
    vector<vector<int>> nodes;
    vector<int> inc_deg;

    DSU() {
 
    }
 
    DSU(int n) {
        init(n);
    }
 
    void init(int n) {
        par = vector<int>(n + 1);
        rankk = vector<int>(n + 1);
        siz = vector<int>(n + 1);
        inc = vector<set<int>>(n + 1);
        out = vector<set<int>>(n + 1);
        inc_nodes = vector< map<int,set<int>> >(n + 1);
        nodes = vector<vector<int>>(n + 1);
        inc_deg = vector<int>(n + 1);
        rep(i, n + 1) create(i);
    }
 
    void create(int u) {
        par[u] = u;
        rankk[u] = 0;
        siz[u] = 1;
        nodes[u].pb(u);
    }
 
    int find(int u) {
        return par[u];
    }
 
    bool same(int u, int v) {
        return find(u) == find(v);
    }
 
    void merge(int u, int v) {
        u = find(u), v = find(v);
        if (u == v) return;
 
        // if (rankk[u] == rankk[v]) rankk[u]++;
        // if (rankk[u] < rankk[v]) swap(u, v);
 
        // par[v] = u;
        // siz[u] += siz[v];
        // if(sz(inc_nodes[u]) < sz(inc_nodes[v])){
        //     swap(inc_nodes[u],inc_nodes[v]);
        // }

        // trav(x,inc_nodes[v]){
        //     inc_nodes[u].insert(x);
        // }
 
        // inc_nodes[v].clear();
    }
 
    void merge_sets(set<int> &st1, set<int> &st2){
        if(sz(st1) < sz(st2)) swap(st1,st2);
        trav(x,st2) st1.insert(x);
        st2.clear();
    }

    void go(int u, int v){
        // merge u and v
        if(same(u,v)) return;

        if(sz(inc[u])+sz(out[u])+sz(nodes[u]) < sz(inc[v])+sz(out[v])+sz(nodes[v])){
            swap(u,v);
        }

        ans += siz[u]*siz[v]*2;
        ans -= inc_deg[u]*siz[u];
        ans -= inc_deg[v]*siz[v];
        siz[u] += siz[v];
        ans += inc_deg[u]*siz[u];
        inc_deg[v] = 0;

        for(auto &[cc,st] : inc_nodes[v]){
            if(cc == u) conts;

            ans -= inc_deg[u]*siz[u];
            inc_deg[u] -= sz(inc_nodes[u][cc]);

            if(sz(inc_nodes[u][cc]) < sz(st)){
                swap(inc_nodes[u][cc],st);
            }

            trav(x,st){
                inc_nodes[u][cc].insert(x);
            }

            inc_deg[u] += sz(inc_nodes[u][cc]);
            ans += inc_deg[u]*siz[u];
        }

        ans -= inc_deg[u]*siz[u];
        inc_deg[u] -= sz(inc_nodes[u][v]);
        ans += inc_deg[u]*siz[u];

        inc_nodes[u].erase(v);
        inc_nodes[v].clear();

        out[u].erase(v);
        inc[u].erase(v);
        out[v].erase(u);
        inc[v].erase(u);
 
        vector<pii> pending;
 
        trav(x,out[v]){
            out[u].insert(x);
            if(inc[u].count(x)){
                pending.pb({u,x});
            }
            inc[x].erase(v);
            inc[x].insert(u);
            merge_sets(inc_nodes[x][u],inc_nodes[x][v]);
        }
 
        trav(x,inc[v]){
            inc[u].insert(x);
            if(out[u].count(x)){
                pending.pb({u,x});
            }
            out[x].erase(v);
            out[x].insert(u);
        }

        trav(x,nodes[v]){
            nodes[u].pb(x);
            par[x] = u;
        }

        out[v].clear();
        inc[v].clear();
        nodes[v].clear();

        for(auto [x,y] : pending){
            go(x,y);
        }
    }
 
    void add_edge(int u, int v){
        int pu = find(u), pv = find(v);
        if(pu != pv){
            ll add = !inc_nodes[pv][pu].count(u);
            inc_deg[pv] += add;
            ans += add*siz[pv];
            if(add){
                inc_nodes[pv][pu].insert(u);
            }
        }

        u = pu, v = pv;
 
        if(u == v or out[u].count(v)) return;
 
        out[u].insert(v);
        inc[v].insert(u);
 
        if(inc[u].count(v)){
            // merge
            go(u,v);
        }
    }
};
 
void solve(int test_case)
{
    ll n,m; cin >> n >> m;
    DSU dsu(n+5);
 
    rep1(i,m){
        ll u,v; cin >> u >> v;
        dsu.add_edge(u,v);
        
        // rep1(i,n){
        //     debug(dsu.find(i));
        // }

        cout << ans << endl;
        
        // rep1(i,n){
        //     debug(dsu.find(i));
        //     debug(dsu.inc_deg[i]);
        // }

        // ll add = 0;
        // rep1(j,n){
        //     if(dsu.find(j) != j) conts;
        //     ll s = dsu.siz[j];
        //     for(auto [cc,st] : dsu.inc_nodes[j]){
        //         add += sz(st)*s;
        //     }
        // }

        // ans += add;
        // cout << ans << endl;
        // ans -= add;
    }
}
 
int main()
{
    fastio;
 
    int t = 1;
    // cin >> t;
 
    rep1(i, t) {
        solve(i);
    }
 
    return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 600 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 456 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 456 KB Output is correct
21 Correct 1 ms 472 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 456 KB Output is correct
33 Correct 1 ms 348 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 600 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 456 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 456 KB Output is correct
21 Correct 1 ms 472 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 456 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 3 ms 468 KB Output is correct
35 Correct 60 ms 7312 KB Output is correct
36 Correct 86 ms 11732 KB Output is correct
37 Correct 88 ms 11844 KB Output is correct
38 Correct 83 ms 11348 KB Output is correct
39 Correct 3 ms 856 KB Output is correct
40 Correct 3 ms 1112 KB Output is correct
41 Correct 4 ms 1116 KB Output is correct
42 Correct 2 ms 856 KB Output is correct
43 Correct 4 ms 1116 KB Output is correct
44 Correct 4 ms 1112 KB Output is correct
45 Correct 2 ms 812 KB Output is correct
46 Correct 2 ms 860 KB Output is correct
47 Correct 3 ms 1116 KB Output is correct
48 Correct 3 ms 1116 KB Output is correct
49 Correct 11 ms 2360 KB Output is correct
50 Correct 95 ms 12136 KB Output is correct
51 Correct 7 ms 1372 KB Output is correct
52 Correct 75 ms 9416 KB Output is correct
53 Correct 10 ms 2392 KB Output is correct
54 Correct 78 ms 10576 KB Output is correct
55 Correct 6 ms 1880 KB Output is correct
56 Correct 7 ms 1744 KB Output is correct
57 Correct 6 ms 2324 KB Output is correct
58 Correct 6 ms 2140 KB Output is correct
59 Correct 2 ms 860 KB Output is correct
60 Correct 72 ms 5716 KB Output is correct
61 Correct 4 ms 1112 KB Output is correct
62 Correct 81 ms 10920 KB Output is correct

Subtask #3
0 / 83.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 600 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 456 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 456 KB Output is correct
21 Correct 1 ms 472 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 456 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 3 ms 468 KB Output is correct
35 Correct 60 ms 7312 KB Output is correct
36 Correct 86 ms 11732 KB Output is correct
37 Correct 88 ms 11844 KB Output is correct
38 Correct 83 ms 11348 KB Output is correct
39 Correct 3 ms 856 KB Output is correct
40 Correct 3 ms 1112 KB Output is correct
41 Correct 4 ms 1116 KB Output is correct
42 Correct 2 ms 856 KB Output is correct
43 Correct 4 ms 1116 KB Output is correct
44 Correct 4 ms 1112 KB Output is correct
45 Correct 2 ms 812 KB Output is correct
46 Correct 2 ms 860 KB Output is correct
47 Correct 3 ms 1116 KB Output is correct
48 Correct 3 ms 1116 KB Output is correct
49 Correct 11 ms 2360 KB Output is correct
50 Correct 95 ms 12136 KB Output is correct
51 Correct 7 ms 1372 KB Output is correct
52 Correct 75 ms 9416 KB Output is correct
53 Correct 10 ms 2392 KB Output is correct
54 Correct 78 ms 10576 KB Output is correct
55 Correct 6 ms 1880 KB Output is correct
56 Correct 7 ms 1744 KB Output is correct
57 Correct 6 ms 2324 KB Output is correct
58 Correct 6 ms 2140 KB Output is correct
59 Correct 2 ms 860 KB Output is correct
60 Correct 72 ms 5716 KB Output is correct
61 Correct 4 ms 1112 KB Output is correct
62 Correct 81 ms 10920 KB Output is correct
63 Correct 506 ms 97552 KB Output is correct
64 Correct 517 ms 97428 KB Output is correct
65 Correct 494 ms 97364 KB Output is correct
66 Correct 125 ms 26400 KB Output is correct
67 Incorrect 336 ms 39636 KB Output isn't correct
68 Halted 0 ms 0 KB -