Submission #1085705

# Submission time Handle Problem Language Result Execution time Memory
1085705 2024-09-08T15:23:20 Z phong Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
1113 ms 161668 KB
#include<bits/stdc++.h>
#define ll long long
#define int long long
const int nmax = 3e5 + 5, N = 1e6;
const ll oo = 1e18 + 5, base = 311;
const int lg = 62, tx = 26;
const ll mod = 1e9 + 7;
#define pii pair<ll, ll>
#define fi first
#define se second
#define debug(a, n) for(int i = 1; i <= n; ++i) cout << a[i] << ' '; cout << "\n";
using namespace std;

int n, m;
int sz[nmax];
set<int> in[nmax], out[nmax], trh[nmax];
set<pii> one[nmax], two[nmax];
int r[nmax];
int get(int u){
    return r[u] ? r[u] = get(r[u]) : u;
}
ll ans = 0;
void Union(int u, int v){
    int x = get(u);
    int y = get(v);
    if(x != y){
        bool ok = 0;
        if(in[x].size() + out[x].size() + one[x].size() + two[x].size() > in[y].size() + out[y].size() + one[y].size() + two[y].size()) swap(x, y);
        ans -= sz[x] * (sz[x] - 1);
        ans -= sz[y] * (sz[y] - 1);
        int it = trh[x].size();
        ans -= it * sz[x];
        it = trh[y].size();
        ans -= it * sz[y];
        in[x].erase(y);
        out[x].erase(y);
        in[y].erase(x);
        out[y].erase(x);
        vector<int> lis;
        for(auto p : in[x]){
            if(out[y].count(p)) lis.push_back(p);
            out[p].erase(x);
            out[p].insert(y);
            in[y].insert(p);

        }
        for(auto p : out[x]){
            if(in[y].count(p)) lis.push_back(p);
            in[p].erase(x);
            out[y].insert(p);
            in[p].insert(y);
        }

        for(auto p : one[x]){
            if(get(p.fi) == y){
                two[y].erase(p);
            }
            else{
                one[y].insert(p);
                trh[y].insert(p.fi);
            }
        }
        for(auto p : two[x]){
            if(get(p.se) == y){
                one[y].erase(p);
                pii it = *one[v].lower_bound({p.fi, -oo});
                if(it.fi != p.fi) trh[y].erase(p.fi);
            }
            else{
                two[y].insert(p);
            }
        }
        sz[y] += sz[x];
        r[x] = y;
        it = trh[y].size();
        ans += it * sz[y];
        ans += sz[y] * (sz[y] - 1);
        for(auto p : lis) Union(x, p);
    }
}
bool check(int u, int v){
    int x = get(u);
    int y = get(v);
    return out[x].count(y) > 0;
}
pii a[nmax];

main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
//    freopen("code.inp", "r", stdin);
//    freopen("code.out", "w", stdout);
    cin >> n >> m;
    for(int i = 1; i <= m; ++i){
        int u, v;
        cin >> u >> v;
        a[i] = {u, v};
    }
    for(int i = 1; i <= n; ++i) sz[i] = 1;
    for(int i = 1; i <= m; ++i){
        int u = a[i].fi, v = a[i].se;
        if(get(u) == get(v)){
            cout <<ans << endl;
            continue;
        }
        u = get(u); v = get(v);
        if(!check(v, u)){
            pii it = *one[v].lower_bound({a[i].fi, -oo});
            if(it.fi != a[i].fi) ans += sz[v];
            in[v].insert(u);
            out[u].insert(v);
            one[v].insert(a[i]);
            two[u].insert(a[i]);
            trh[v].insert(a[i].fi);
        }
        else{
//                cout << i << ' ';
            Union(u, v);
        }
        cout <<ans << endl;
    }
}
/*
3 4
3 1
1 2
2 3
1 3



*/

Compilation message

joitter2.cpp: In function 'void Union(long long int, long long int)':
joitter2.cpp:27:14: warning: unused variable 'ok' [-Wunused-variable]
   27 |         bool ok = 0;
      |              ^~
joitter2.cpp: At global scope:
joitter2.cpp:88:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   88 | main(){
      | ^~~~
# Verdict Execution time Memory Grader output
1 Correct 29 ms 70744 KB Output is correct
2 Correct 32 ms 70744 KB Output is correct
3 Correct 34 ms 70844 KB Output is correct
4 Correct 38 ms 70740 KB Output is correct
5 Correct 37 ms 70848 KB Output is correct
6 Correct 35 ms 70892 KB Output is correct
7 Correct 36 ms 70992 KB Output is correct
8 Correct 36 ms 71004 KB Output is correct
9 Correct 36 ms 71004 KB Output is correct
10 Correct 32 ms 70748 KB Output is correct
11 Correct 30 ms 70800 KB Output is correct
12 Correct 33 ms 70748 KB Output is correct
13 Correct 35 ms 70676 KB Output is correct
14 Correct 32 ms 70752 KB Output is correct
15 Correct 38 ms 70748 KB Output is correct
16 Correct 32 ms 70900 KB Output is correct
17 Correct 31 ms 70740 KB Output is correct
18 Correct 32 ms 70720 KB Output is correct
19 Correct 33 ms 70744 KB Output is correct
20 Correct 30 ms 70748 KB Output is correct
21 Correct 32 ms 71000 KB Output is correct
22 Correct 39 ms 70736 KB Output is correct
23 Correct 34 ms 71004 KB Output is correct
24 Correct 32 ms 70744 KB Output is correct
25 Correct 33 ms 70996 KB Output is correct
26 Correct 32 ms 70748 KB Output is correct
27 Correct 32 ms 70744 KB Output is correct
28 Correct 33 ms 70748 KB Output is correct
29 Correct 32 ms 70740 KB Output is correct
30 Correct 37 ms 70748 KB Output is correct
31 Correct 34 ms 70748 KB Output is correct
32 Correct 30 ms 70748 KB Output is correct
33 Correct 34 ms 70972 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 29 ms 70744 KB Output is correct
2 Correct 32 ms 70744 KB Output is correct
3 Correct 34 ms 70844 KB Output is correct
4 Correct 38 ms 70740 KB Output is correct
5 Correct 37 ms 70848 KB Output is correct
6 Correct 35 ms 70892 KB Output is correct
7 Correct 36 ms 70992 KB Output is correct
8 Correct 36 ms 71004 KB Output is correct
9 Correct 36 ms 71004 KB Output is correct
10 Correct 32 ms 70748 KB Output is correct
11 Correct 30 ms 70800 KB Output is correct
12 Correct 33 ms 70748 KB Output is correct
13 Correct 35 ms 70676 KB Output is correct
14 Correct 32 ms 70752 KB Output is correct
15 Correct 38 ms 70748 KB Output is correct
16 Correct 32 ms 70900 KB Output is correct
17 Correct 31 ms 70740 KB Output is correct
18 Correct 32 ms 70720 KB Output is correct
19 Correct 33 ms 70744 KB Output is correct
20 Correct 30 ms 70748 KB Output is correct
21 Correct 32 ms 71000 KB Output is correct
22 Correct 39 ms 70736 KB Output is correct
23 Correct 34 ms 71004 KB Output is correct
24 Correct 32 ms 70744 KB Output is correct
25 Correct 33 ms 70996 KB Output is correct
26 Correct 32 ms 70748 KB Output is correct
27 Correct 32 ms 70744 KB Output is correct
28 Correct 33 ms 70748 KB Output is correct
29 Correct 32 ms 70740 KB Output is correct
30 Correct 37 ms 70748 KB Output is correct
31 Correct 34 ms 70748 KB Output is correct
32 Correct 30 ms 70748 KB Output is correct
33 Correct 34 ms 70972 KB Output is correct
34 Correct 42 ms 71252 KB Output is correct
35 Correct 385 ms 83028 KB Output is correct
36 Correct 409 ms 88192 KB Output is correct
37 Correct 426 ms 88400 KB Output is correct
38 Correct 427 ms 87632 KB Output is correct
39 Correct 45 ms 71260 KB Output is correct
40 Correct 35 ms 71216 KB Output is correct
41 Correct 38 ms 71256 KB Output is correct
42 Correct 37 ms 71248 KB Output is correct
43 Correct 38 ms 71252 KB Output is correct
44 Correct 39 ms 71252 KB Output is correct
45 Correct 38 ms 71248 KB Output is correct
46 Correct 39 ms 71252 KB Output is correct
47 Correct 39 ms 71252 KB Output is correct
48 Correct 39 ms 71260 KB Output is correct
49 Correct 57 ms 73296 KB Output is correct
50 Correct 435 ms 88660 KB Output is correct
51 Correct 49 ms 72020 KB Output is correct
52 Correct 412 ms 84940 KB Output is correct
53 Correct 52 ms 72916 KB Output is correct
54 Correct 400 ms 86660 KB Output is correct
55 Correct 41 ms 72020 KB Output is correct
56 Correct 41 ms 72020 KB Output is correct
57 Correct 41 ms 72532 KB Output is correct
58 Correct 40 ms 72416 KB Output is correct
59 Correct 40 ms 71248 KB Output is correct
60 Correct 387 ms 80796 KB Output is correct
61 Correct 40 ms 71504 KB Output is correct
62 Correct 398 ms 87244 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 29 ms 70744 KB Output is correct
2 Correct 32 ms 70744 KB Output is correct
3 Correct 34 ms 70844 KB Output is correct
4 Correct 38 ms 70740 KB Output is correct
5 Correct 37 ms 70848 KB Output is correct
6 Correct 35 ms 70892 KB Output is correct
7 Correct 36 ms 70992 KB Output is correct
8 Correct 36 ms 71004 KB Output is correct
9 Correct 36 ms 71004 KB Output is correct
10 Correct 32 ms 70748 KB Output is correct
11 Correct 30 ms 70800 KB Output is correct
12 Correct 33 ms 70748 KB Output is correct
13 Correct 35 ms 70676 KB Output is correct
14 Correct 32 ms 70752 KB Output is correct
15 Correct 38 ms 70748 KB Output is correct
16 Correct 32 ms 70900 KB Output is correct
17 Correct 31 ms 70740 KB Output is correct
18 Correct 32 ms 70720 KB Output is correct
19 Correct 33 ms 70744 KB Output is correct
20 Correct 30 ms 70748 KB Output is correct
21 Correct 32 ms 71000 KB Output is correct
22 Correct 39 ms 70736 KB Output is correct
23 Correct 34 ms 71004 KB Output is correct
24 Correct 32 ms 70744 KB Output is correct
25 Correct 33 ms 70996 KB Output is correct
26 Correct 32 ms 70748 KB Output is correct
27 Correct 32 ms 70744 KB Output is correct
28 Correct 33 ms 70748 KB Output is correct
29 Correct 32 ms 70740 KB Output is correct
30 Correct 37 ms 70748 KB Output is correct
31 Correct 34 ms 70748 KB Output is correct
32 Correct 30 ms 70748 KB Output is correct
33 Correct 34 ms 70972 KB Output is correct
34 Correct 42 ms 71252 KB Output is correct
35 Correct 385 ms 83028 KB Output is correct
36 Correct 409 ms 88192 KB Output is correct
37 Correct 426 ms 88400 KB Output is correct
38 Correct 427 ms 87632 KB Output is correct
39 Correct 45 ms 71260 KB Output is correct
40 Correct 35 ms 71216 KB Output is correct
41 Correct 38 ms 71256 KB Output is correct
42 Correct 37 ms 71248 KB Output is correct
43 Correct 38 ms 71252 KB Output is correct
44 Correct 39 ms 71252 KB Output is correct
45 Correct 38 ms 71248 KB Output is correct
46 Correct 39 ms 71252 KB Output is correct
47 Correct 39 ms 71252 KB Output is correct
48 Correct 39 ms 71260 KB Output is correct
49 Correct 57 ms 73296 KB Output is correct
50 Correct 435 ms 88660 KB Output is correct
51 Correct 49 ms 72020 KB Output is correct
52 Correct 412 ms 84940 KB Output is correct
53 Correct 52 ms 72916 KB Output is correct
54 Correct 400 ms 86660 KB Output is correct
55 Correct 41 ms 72020 KB Output is correct
56 Correct 41 ms 72020 KB Output is correct
57 Correct 41 ms 72532 KB Output is correct
58 Correct 40 ms 72416 KB Output is correct
59 Correct 40 ms 71248 KB Output is correct
60 Correct 387 ms 80796 KB Output is correct
61 Correct 40 ms 71504 KB Output is correct
62 Correct 398 ms 87244 KB Output is correct
63 Correct 821 ms 161604 KB Output is correct
64 Correct 822 ms 161476 KB Output is correct
65 Correct 832 ms 161668 KB Output is correct
66 Correct 335 ms 90960 KB Output is correct
67 Correct 431 ms 98640 KB Output is correct
68 Correct 363 ms 90976 KB Output is correct
69 Correct 521 ms 95828 KB Output is correct
70 Correct 336 ms 90928 KB Output is correct
71 Correct 328 ms 90900 KB Output is correct
72 Correct 476 ms 98640 KB Output is correct
73 Correct 462 ms 98640 KB Output is correct
74 Correct 1113 ms 153684 KB Output is correct
75 Correct 903 ms 110476 KB Output is correct
76 Correct 943 ms 130536 KB Output is correct
77 Correct 926 ms 130880 KB Output is correct
78 Correct 377 ms 101460 KB Output is correct
79 Correct 631 ms 109700 KB Output is correct
80 Correct 382 ms 100176 KB Output is correct
81 Correct 657 ms 107092 KB Output is correct
82 Correct 946 ms 136268 KB Output is correct
83 Correct 892 ms 136276 KB Output is correct
84 Correct 937 ms 153172 KB Output is correct
85 Correct 951 ms 153412 KB Output is correct
86 Correct 335 ms 89936 KB Output is correct
87 Correct 466 ms 93780 KB Output is correct
88 Correct 463 ms 99108 KB Output is correct
89 Correct 891 ms 126772 KB Output is correct