oj.uz

Submission #963714

# Submission time Handle Problem Language Result Execution time Memory
963714 2024-04-15T14:05:38 Z GrindMachine Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
 1203 ms 95568 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;
    vector<ll> siz;
    vector<set<int>> inc, out;
    vector< map<int,set<int>> > inc_nodes;
    vector<vector<int>> nodes;
    vector<ll> inc_deg;

    DSU() {
 
    }
 
    DSU(int n) {
        init(n);
    }
 
    void init(int n) {
        par = vector<int>(n + 1);
        rankk = vector<int>(n + 1);
        siz = vector<ll>(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<ll>(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 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 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 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 600 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 0 ms 388 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 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 348 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 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 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 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 600 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 0 ms 388 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 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 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 2 ms 604 KB Output is correct
35 Correct 59 ms 4924 KB Output is correct
36 Correct 98 ms 9044 KB Output is correct
37 Correct 102 ms 9304 KB Output is correct
38 Correct 98 ms 8784 KB Output is correct
39 Correct 3 ms 864 KB Output is correct
40 Correct 3 ms 1116 KB Output is correct
41 Correct 3 ms 1116 KB Output is correct
42 Correct 2 ms 860 KB Output is correct
43 Correct 3 ms 1116 KB Output is correct
44 Correct 3 ms 1116 KB Output is correct
45 Correct 2 ms 860 KB Output is correct
46 Correct 2 ms 860 KB Output is correct
47 Correct 3 ms 1116 KB Output is correct
48 Correct 4 ms 1368 KB Output is correct
49 Correct 13 ms 2400 KB Output is correct
50 Correct 88 ms 9480 KB Output is correct
51 Correct 7 ms 1372 KB Output is correct
52 Correct 73 ms 6584 KB Output is correct
53 Correct 10 ms 2136 KB Output is correct
54 Correct 76 ms 7856 KB Output is correct
55 Correct 7 ms 1628 KB Output is correct
56 Correct 6 ms 1880 KB Output is correct
57 Correct 6 ms 2140 KB Output is correct
58 Correct 6 ms 2140 KB Output is correct
59 Correct 2 ms 860 KB Output is correct
60 Correct 59 ms 3124 KB Output is correct
61 Correct 4 ms 1116 KB Output is correct
62 Correct 88 ms 8504 KB Output is correct

Subtask #3
83.0 / 83.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 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 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 600 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 0 ms 388 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 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 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 2 ms 604 KB Output is correct
35 Correct 59 ms 4924 KB Output is correct
36 Correct 98 ms 9044 KB Output is correct
37 Correct 102 ms 9304 KB Output is correct
38 Correct 98 ms 8784 KB Output is correct
39 Correct 3 ms 864 KB Output is correct
40 Correct 3 ms 1116 KB Output is correct
41 Correct 3 ms 1116 KB Output is correct
42 Correct 2 ms 860 KB Output is correct
43 Correct 3 ms 1116 KB Output is correct
44 Correct 3 ms 1116 KB Output is correct
45 Correct 2 ms 860 KB Output is correct
46 Correct 2 ms 860 KB Output is correct
47 Correct 3 ms 1116 KB Output is correct
48 Correct 4 ms 1368 KB Output is correct
49 Correct 13 ms 2400 KB Output is correct
50 Correct 88 ms 9480 KB Output is correct
51 Correct 7 ms 1372 KB Output is correct
52 Correct 73 ms 6584 KB Output is correct
53 Correct 10 ms 2136 KB Output is correct
54 Correct 76 ms 7856 KB Output is correct
55 Correct 7 ms 1628 KB Output is correct
56 Correct 6 ms 1880 KB Output is correct
57 Correct 6 ms 2140 KB Output is correct
58 Correct 6 ms 2140 KB Output is correct
59 Correct 2 ms 860 KB Output is correct
60 Correct 59 ms 3124 KB Output is correct
61 Correct 4 ms 1116 KB Output is correct
62 Correct 88 ms 8504 KB Output is correct
63 Correct 575 ms 94716 KB Output is correct
64 Correct 554 ms 94568 KB Output is correct
65 Correct 535 ms 94800 KB Output is correct
66 Correct 146 ms 24884 KB Output is correct
67 Correct 309 ms 38036 KB Output is correct
68 Correct 134 ms 27176 KB Output is correct
69 Correct 386 ms 38844 KB Output is correct
70 Correct 141 ms 27168 KB Output is correct
71 Correct 130 ms 27196 KB Output is correct
72 Correct 377 ms 39392 KB Output is correct
73 Correct 348 ms 39452 KB Output is correct
74 Correct 1203 ms 67452 KB Output is correct
75 Correct 539 ms 47508 KB Output is correct
76 Correct 809 ms 59280 KB Output is correct
77 Correct 827 ms 59792 KB Output is correct
78 Correct 169 ms 37404 KB Output is correct
79 Correct 272 ms 40940 KB Output is correct
80 Correct 202 ms 39800 KB Output is correct
81 Correct 360 ms 43188 KB Output is correct
82 Correct 791 ms 73748 KB Output is correct
83 Correct 847 ms 73692 KB Output is correct
84 Correct 801 ms 95228 KB Output is correct
85 Correct 756 ms 95568 KB Output is correct
86 Correct 135 ms 31560 KB Output is correct
87 Correct 155 ms 33864 KB Output is correct
88 Correct 363 ms 39464 KB Output is correct
89 Correct 797 ms 57352 KB Output is correct