답안 #1000242

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1000242 2024-06-17T07:05:54 Z snpmrnhlol 조이터에서 친구를 만드는건 재밌어 (JOI20_joitter2) C++17
17 / 100
5000 ms 85148 KB
#include<bits/stdc++.h>
using namespace std;
const int N = 2e5;
typedef long long ll;
ll ans = 0;
int n,m;
struct DSU{
    int p,sz;
    set <int> boys;
    vector <int> comp;
}dsu[N];
set <int> edges[N];
multiset <int> compedges[N];
int leader(int x){
    if(x == dsu[x].p)return x;
    return dsu[x].p = leader(dsu[x].p);
}
bool checkedge(int x,int y){
    int compx = leader(x);
    int compy = leader(y);
    if(compx == compy)return 1;
    if(dsu[compy].boys.find(x) != dsu[compy].boys.end())return 1;
    return 0;
}
bool check(int x,int y){
    if(x == y)return 1;
    if(compedges[x].find(y) != compedges[x].end())return 1;
    return 0;
}
void connect(int x,int y){
    x = leader(x);
    y = leader(y);
    if(x == y)return;
    if(dsu[x].sz + dsu[x].boys.size() + compedges[x].size() > dsu[y].sz + dsu[y].boys.size() + compedges[y].size())swap(x,y);
    ///y connected to x
    auto it = dsu[x].boys.begin();
    while(it != dsu[x].boys.end()){
        if(leader(*it) == y){
            ans-=dsu[x].sz;
            it = dsu[x].boys.erase(it);
            edges[*it].erase(x);
            compedges[y].erase(compedges[y].find(x));
        }else{
            it++;
        }
    }
    ///x connected to y
    for(auto i:dsu[x].comp){
        auto it = dsu[y].boys.find(i);
        if(it != dsu[y].boys.end()){
            ans-=dsu[y].sz;
            dsu[y].boys.erase(it);
            edges[*it].erase(y);
            compedges[x].erase(compedges[x].find(y));
        }
        dsu[y].comp.push_back(i);
    }
    ans+=1ll*dsu[x].boys.size()*dsu[y].sz;
    ans+=1ll*dsu[y].boys.size()*dsu[x].sz;
    ///x and y connected to random node
    for(auto i:dsu[x].boys){
        assert(leader(i) != y);
        if(dsu[y].boys.find(i) != dsu[y].boys.end()){
            ans-=dsu[x].sz;
            ans-=dsu[y].sz;
        }
        dsu[y].boys.insert(i);
        edges[i].erase(x);
        compedges[leader(i)].erase(compedges[leader(i)].find(leader(x)));
        edges[i].insert(y);
        compedges[leader(i)].insert(leader(y));
    }
    for(auto i:compedges[x]){
        compedges[y].insert(i);
    }
    ans+=2ll*dsu[x].sz*dsu[y].sz;
    dsu[x].comp.clear();
    dsu[x].boys.clear();
    compedges[x].clear();
    dsu[x].p = y;
    dsu[y].sz+=dsu[x].sz;
    ///check for new connections
    for(auto i:dsu[y].boys){
        if(check(leader(i),y) && check(y,leader(i))){
            connect(leader(i),y);
            break;
        }
    }
}
void addedge(int x,int y){
    int compx = leader(x);
    int compy = leader(y);
    if(checkedge(x,y))return;
    if(check(compy,compx)){
        connect(x,y);
    }else{
        dsu[compy].boys.insert(x);
        edges[x].insert(compy);
        compedges[compx].insert(compy);
        ans+=dsu[compy].sz;
    }
}
void dbg(){
    for(int i = 0;i < n;i++){
        cout<<"dsuinvestigate:"<<i<<'\n';
        cout<<dsu[i].p<<' '<<dsu[i].sz<<'\n';
        for(auto j:dsu[i].boys)cout<<j<<' ';cout<<'\n';
        for(auto j:dsu[i].comp)cout<<j<<' ';cout<<'\n';
    }
}
int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin>>n>>m;
    for(int i = 0;i < n;i++){
        dsu[i] = {i,1};
        dsu[i].comp.push_back(i);
    }
    for(int i = 0;i < m;i++){
        int u,w;
        cin>>u>>w;
        u--;w--;
        addedge(u,w);
        //dbg();
        cout<<ans<<'\n';
    }
    return 0;
}
/**
5 20
4 2
1 5
2 3
2 5
3 2
3 1
4 5
1 2
5 2
1 4
4 1
3 4
5 1
2 4
2 1
4 3
1 3
5 4
3 5
5 3

**/

Compilation message

joitter2.cpp: In function 'void dbg()':
joitter2.cpp:107:9: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
  107 |         for(auto j:dsu[i].boys)cout<<j<<' ';cout<<'\n';
      |         ^~~
joitter2.cpp:107:45: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  107 |         for(auto j:dsu[i].boys)cout<<j<<' ';cout<<'\n';
      |                                             ^~~~
joitter2.cpp:108:9: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
  108 |         for(auto j:dsu[i].comp)cout<<j<<' ';cout<<'\n';
      |         ^~~
joitter2.cpp:108:45: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  108 |         for(auto j:dsu[i].comp)cout<<j<<' ';cout<<'\n';
      |                                             ^~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 16 ms 34648 KB Output is correct
2 Correct 12 ms 34652 KB Output is correct
3 Correct 12 ms 34652 KB Output is correct
4 Correct 13 ms 34652 KB Output is correct
5 Correct 12 ms 34652 KB Output is correct
6 Correct 13 ms 34900 KB Output is correct
7 Correct 13 ms 34908 KB Output is correct
8 Correct 14 ms 34908 KB Output is correct
9 Correct 13 ms 35204 KB Output is correct
10 Correct 13 ms 34904 KB Output is correct
11 Correct 17 ms 34652 KB Output is correct
12 Correct 12 ms 34904 KB Output is correct
13 Correct 12 ms 34820 KB Output is correct
14 Correct 13 ms 34908 KB Output is correct
15 Correct 13 ms 34668 KB Output is correct
16 Correct 13 ms 34648 KB Output is correct
17 Correct 13 ms 34828 KB Output is correct
18 Correct 16 ms 34652 KB Output is correct
19 Correct 13 ms 34776 KB Output is correct
20 Correct 13 ms 34904 KB Output is correct
21 Correct 13 ms 34908 KB Output is correct
22 Correct 13 ms 34908 KB Output is correct
23 Correct 15 ms 34940 KB Output is correct
24 Correct 13 ms 34908 KB Output is correct
25 Correct 13 ms 34908 KB Output is correct
26 Correct 13 ms 34908 KB Output is correct
27 Correct 13 ms 34908 KB Output is correct
28 Correct 13 ms 34908 KB Output is correct
29 Correct 12 ms 34908 KB Output is correct
30 Correct 13 ms 34652 KB Output is correct
31 Correct 15 ms 34908 KB Output is correct
32 Correct 13 ms 34908 KB Output is correct
33 Correct 13 ms 34908 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 16 ms 34648 KB Output is correct
2 Correct 12 ms 34652 KB Output is correct
3 Correct 12 ms 34652 KB Output is correct
4 Correct 13 ms 34652 KB Output is correct
5 Correct 12 ms 34652 KB Output is correct
6 Correct 13 ms 34900 KB Output is correct
7 Correct 13 ms 34908 KB Output is correct
8 Correct 14 ms 34908 KB Output is correct
9 Correct 13 ms 35204 KB Output is correct
10 Correct 13 ms 34904 KB Output is correct
11 Correct 17 ms 34652 KB Output is correct
12 Correct 12 ms 34904 KB Output is correct
13 Correct 12 ms 34820 KB Output is correct
14 Correct 13 ms 34908 KB Output is correct
15 Correct 13 ms 34668 KB Output is correct
16 Correct 13 ms 34648 KB Output is correct
17 Correct 13 ms 34828 KB Output is correct
18 Correct 16 ms 34652 KB Output is correct
19 Correct 13 ms 34776 KB Output is correct
20 Correct 13 ms 34904 KB Output is correct
21 Correct 13 ms 34908 KB Output is correct
22 Correct 13 ms 34908 KB Output is correct
23 Correct 15 ms 34940 KB Output is correct
24 Correct 13 ms 34908 KB Output is correct
25 Correct 13 ms 34908 KB Output is correct
26 Correct 13 ms 34908 KB Output is correct
27 Correct 13 ms 34908 KB Output is correct
28 Correct 13 ms 34908 KB Output is correct
29 Correct 12 ms 34908 KB Output is correct
30 Correct 13 ms 34652 KB Output is correct
31 Correct 15 ms 34908 KB Output is correct
32 Correct 13 ms 34908 KB Output is correct
33 Correct 13 ms 34908 KB Output is correct
34 Correct 15 ms 34908 KB Output is correct
35 Correct 63 ms 40320 KB Output is correct
36 Correct 80 ms 43088 KB Output is correct
37 Correct 84 ms 43088 KB Output is correct
38 Correct 77 ms 42972 KB Output is correct
39 Correct 14 ms 34908 KB Output is correct
40 Correct 15 ms 35184 KB Output is correct
41 Correct 15 ms 35172 KB Output is correct
42 Correct 14 ms 34908 KB Output is correct
43 Correct 26 ms 35160 KB Output is correct
44 Correct 25 ms 35164 KB Output is correct
45 Correct 14 ms 34908 KB Output is correct
46 Correct 14 ms 34908 KB Output is correct
47 Correct 16 ms 35164 KB Output is correct
48 Correct 16 ms 35076 KB Output is correct
49 Correct 23 ms 35928 KB Output is correct
50 Correct 86 ms 43344 KB Output is correct
51 Correct 29 ms 35408 KB Output is correct
52 Correct 75 ms 41552 KB Output is correct
53 Correct 22 ms 35932 KB Output is correct
54 Correct 78 ms 42488 KB Output is correct
55 Correct 22 ms 35672 KB Output is correct
56 Correct 22 ms 35764 KB Output is correct
57 Correct 21 ms 35672 KB Output is correct
58 Correct 23 ms 35676 KB Output is correct
59 Correct 14 ms 35164 KB Output is correct
60 Correct 61 ms 39840 KB Output is correct
61 Correct 17 ms 35164 KB Output is correct
62 Correct 77 ms 42708 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 16 ms 34648 KB Output is correct
2 Correct 12 ms 34652 KB Output is correct
3 Correct 12 ms 34652 KB Output is correct
4 Correct 13 ms 34652 KB Output is correct
5 Correct 12 ms 34652 KB Output is correct
6 Correct 13 ms 34900 KB Output is correct
7 Correct 13 ms 34908 KB Output is correct
8 Correct 14 ms 34908 KB Output is correct
9 Correct 13 ms 35204 KB Output is correct
10 Correct 13 ms 34904 KB Output is correct
11 Correct 17 ms 34652 KB Output is correct
12 Correct 12 ms 34904 KB Output is correct
13 Correct 12 ms 34820 KB Output is correct
14 Correct 13 ms 34908 KB Output is correct
15 Correct 13 ms 34668 KB Output is correct
16 Correct 13 ms 34648 KB Output is correct
17 Correct 13 ms 34828 KB Output is correct
18 Correct 16 ms 34652 KB Output is correct
19 Correct 13 ms 34776 KB Output is correct
20 Correct 13 ms 34904 KB Output is correct
21 Correct 13 ms 34908 KB Output is correct
22 Correct 13 ms 34908 KB Output is correct
23 Correct 15 ms 34940 KB Output is correct
24 Correct 13 ms 34908 KB Output is correct
25 Correct 13 ms 34908 KB Output is correct
26 Correct 13 ms 34908 KB Output is correct
27 Correct 13 ms 34908 KB Output is correct
28 Correct 13 ms 34908 KB Output is correct
29 Correct 12 ms 34908 KB Output is correct
30 Correct 13 ms 34652 KB Output is correct
31 Correct 15 ms 34908 KB Output is correct
32 Correct 13 ms 34908 KB Output is correct
33 Correct 13 ms 34908 KB Output is correct
34 Correct 15 ms 34908 KB Output is correct
35 Correct 63 ms 40320 KB Output is correct
36 Correct 80 ms 43088 KB Output is correct
37 Correct 84 ms 43088 KB Output is correct
38 Correct 77 ms 42972 KB Output is correct
39 Correct 14 ms 34908 KB Output is correct
40 Correct 15 ms 35184 KB Output is correct
41 Correct 15 ms 35172 KB Output is correct
42 Correct 14 ms 34908 KB Output is correct
43 Correct 26 ms 35160 KB Output is correct
44 Correct 25 ms 35164 KB Output is correct
45 Correct 14 ms 34908 KB Output is correct
46 Correct 14 ms 34908 KB Output is correct
47 Correct 16 ms 35164 KB Output is correct
48 Correct 16 ms 35076 KB Output is correct
49 Correct 23 ms 35928 KB Output is correct
50 Correct 86 ms 43344 KB Output is correct
51 Correct 29 ms 35408 KB Output is correct
52 Correct 75 ms 41552 KB Output is correct
53 Correct 22 ms 35932 KB Output is correct
54 Correct 78 ms 42488 KB Output is correct
55 Correct 22 ms 35672 KB Output is correct
56 Correct 22 ms 35764 KB Output is correct
57 Correct 21 ms 35672 KB Output is correct
58 Correct 23 ms 35676 KB Output is correct
59 Correct 14 ms 35164 KB Output is correct
60 Correct 61 ms 39840 KB Output is correct
61 Correct 17 ms 35164 KB Output is correct
62 Correct 77 ms 42708 KB Output is correct
63 Correct 307 ms 85148 KB Output is correct
64 Correct 310 ms 85044 KB Output is correct
65 Correct 337 ms 85072 KB Output is correct
66 Correct 81 ms 47048 KB Output is correct
67 Correct 146 ms 52044 KB Output is correct
68 Correct 97 ms 47408 KB Output is correct
69 Execution timed out 5058 ms 44172 KB Time limit exceeded
70 Halted 0 ms 0 KB -