답안 #1000268

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1000268 2024-06-17T07:40:23 Z snpmrnhlol 조이터에서 친구를 만드는건 재밌어 (JOI20_joitter2) C++17
17 / 100
5000 ms 82260 KB
#include<bits/stdc++.h>
//#define cin fin
//#define cout fout
using namespace std;
//ifstream fin("a.in");
//ofstream fout("a.out");
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);
    ///check new edges
    int nr1 = -1;
    for(auto i:dsu[x].boys){
        if(leader(i) == x || leader(i) == y)continue;
        if(check(leader(i),y) && check(x,leader(i))){
            nr1 = leader(i);
        }
        if(check(leader(i),x) && check(x,leader(i))){
            nr1 = leader(i);
        }
        if(check(leader(i),y) && check(y,leader(i))){
            nr1 = leader(i);
        }
        if(check(leader(i),x) && check(y,leader(i))){
            nr1 = leader(i);
        }
    }
    for(auto k:dsu[x].comp){
        for(auto i:edges[k]){
            if(leader(i) == x || leader(i) == y)continue;
            if(check(leader(i),y) && check(x,leader(i))){
                nr1 = leader(i);
            }
            if(check(leader(i),x) && check(x,leader(i))){
                nr1 = leader(i);
            }
            if(check(leader(i),y) && check(y,leader(i))){
                nr1 = leader(i);
            }
            if(check(leader(i),x) && check(y,leader(i))){
                nr1 = leader(i);
            }
        }
    }
    for(auto i:compedges[x]){
        if(leader(i) == x || leader(i) == y)continue;
        if(check(leader(i),y) && check(x,leader(i))){
            nr1 = leader(i);
        }
        if(check(leader(i),x) && check(x,leader(i))){
            nr1 = leader(i);
        }
        if(check(leader(i),y) && check(y,leader(i))){
            nr1 = leader(i);
        }
        if(check(leader(i),x) && check(y,leader(i))){
            nr1 = leader(i);
        }
    }
    for(auto i:dsu[y].boys){
        if(leader(i) == x || leader(i) == y)continue;
        if(check(leader(i),y) && check(x,leader(i))){
            nr1 = leader(i);
        }
        if(check(leader(i),x) && check(x,leader(i))){
            nr1 = leader(i);
        }
        if(check(leader(i),y) && check(y,leader(i))){
            nr1 = leader(i);
        }
        if(check(leader(i),x) && check(y,leader(i))){
            nr1 = leader(i);
        }
    }
    ///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].p = y;
    dsu[y].sz+=dsu[x].sz;
    dsu[x].comp.clear();
    dsu[x].boys.clear();
    compedges[x].clear();
    if(nr1 != -1){
        connect(y,nr1);
    }
}
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:171:9: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
  171 |         for(auto j:dsu[i].boys)cout<<j<<' ';cout<<'\n';
      |         ^~~
joitter2.cpp:171:45: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  171 |         for(auto j:dsu[i].boys)cout<<j<<' ';cout<<'\n';
      |                                             ^~~~
joitter2.cpp:172:9: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
  172 |         for(auto j:dsu[i].comp)cout<<j<<' ';cout<<'\n';
      |         ^~~
joitter2.cpp:172:45: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  172 |         for(auto j:dsu[i].comp)cout<<j<<' ';cout<<'\n';
      |                                             ^~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 34652 KB Output is correct
2 Correct 5 ms 34680 KB Output is correct
3 Correct 5 ms 34652 KB Output is correct
4 Correct 5 ms 34652 KB Output is correct
5 Correct 5 ms 34648 KB Output is correct
6 Correct 5 ms 34900 KB Output is correct
7 Correct 6 ms 34908 KB Output is correct
8 Correct 6 ms 34908 KB Output is correct
9 Correct 6 ms 34908 KB Output is correct
10 Correct 5 ms 34652 KB Output is correct
11 Correct 6 ms 34908 KB Output is correct
12 Correct 6 ms 34652 KB Output is correct
13 Correct 7 ms 34652 KB Output is correct
14 Correct 5 ms 34652 KB Output is correct
15 Correct 6 ms 34904 KB Output is correct
16 Correct 5 ms 34904 KB Output is correct
17 Correct 5 ms 34652 KB Output is correct
18 Correct 6 ms 34908 KB Output is correct
19 Correct 5 ms 34652 KB Output is correct
20 Correct 6 ms 34908 KB Output is correct
21 Correct 6 ms 34908 KB Output is correct
22 Correct 5 ms 34652 KB Output is correct
23 Correct 6 ms 34908 KB Output is correct
24 Correct 6 ms 34908 KB Output is correct
25 Correct 8 ms 34752 KB Output is correct
26 Correct 6 ms 34904 KB Output is correct
27 Correct 5 ms 34908 KB Output is correct
28 Correct 5 ms 34908 KB Output is correct
29 Correct 5 ms 34748 KB Output is correct
30 Correct 5 ms 34652 KB Output is correct
31 Correct 6 ms 34908 KB Output is correct
32 Correct 6 ms 34696 KB Output is correct
33 Correct 6 ms 34904 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 34652 KB Output is correct
2 Correct 5 ms 34680 KB Output is correct
3 Correct 5 ms 34652 KB Output is correct
4 Correct 5 ms 34652 KB Output is correct
5 Correct 5 ms 34648 KB Output is correct
6 Correct 5 ms 34900 KB Output is correct
7 Correct 6 ms 34908 KB Output is correct
8 Correct 6 ms 34908 KB Output is correct
9 Correct 6 ms 34908 KB Output is correct
10 Correct 5 ms 34652 KB Output is correct
11 Correct 6 ms 34908 KB Output is correct
12 Correct 6 ms 34652 KB Output is correct
13 Correct 7 ms 34652 KB Output is correct
14 Correct 5 ms 34652 KB Output is correct
15 Correct 6 ms 34904 KB Output is correct
16 Correct 5 ms 34904 KB Output is correct
17 Correct 5 ms 34652 KB Output is correct
18 Correct 6 ms 34908 KB Output is correct
19 Correct 5 ms 34652 KB Output is correct
20 Correct 6 ms 34908 KB Output is correct
21 Correct 6 ms 34908 KB Output is correct
22 Correct 5 ms 34652 KB Output is correct
23 Correct 6 ms 34908 KB Output is correct
24 Correct 6 ms 34908 KB Output is correct
25 Correct 8 ms 34752 KB Output is correct
26 Correct 6 ms 34904 KB Output is correct
27 Correct 5 ms 34908 KB Output is correct
28 Correct 5 ms 34908 KB Output is correct
29 Correct 5 ms 34748 KB Output is correct
30 Correct 5 ms 34652 KB Output is correct
31 Correct 6 ms 34908 KB Output is correct
32 Correct 6 ms 34696 KB Output is correct
33 Correct 6 ms 34904 KB Output is correct
34 Correct 7 ms 34904 KB Output is correct
35 Correct 114 ms 38352 KB Output is correct
36 Correct 431 ms 40708 KB Output is correct
37 Correct 401 ms 41120 KB Output is correct
38 Correct 378 ms 40532 KB Output is correct
39 Correct 7 ms 34904 KB Output is correct
40 Correct 8 ms 35164 KB Output is correct
41 Correct 8 ms 35164 KB Output is correct
42 Correct 7 ms 34908 KB Output is correct
43 Correct 44 ms 35124 KB Output is correct
44 Correct 42 ms 34908 KB Output is correct
45 Correct 7 ms 34908 KB Output is correct
46 Correct 7 ms 34908 KB Output is correct
47 Correct 9 ms 34928 KB Output is correct
48 Correct 9 ms 35164 KB Output is correct
49 Correct 73 ms 35672 KB Output is correct
50 Correct 437 ms 40864 KB Output is correct
51 Correct 70 ms 35164 KB Output is correct
52 Correct 311 ms 39252 KB Output is correct
53 Correct 71 ms 35940 KB Output is correct
54 Correct 392 ms 40020 KB Output is correct
55 Correct 64 ms 35704 KB Output is correct
56 Correct 53 ms 35668 KB Output is correct
57 Correct 47 ms 35664 KB Output is correct
58 Correct 46 ms 35668 KB Output is correct
59 Correct 7 ms 34908 KB Output is correct
60 Correct 52 ms 37408 KB Output is correct
61 Correct 16 ms 35164 KB Output is correct
62 Correct 401 ms 40280 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 34652 KB Output is correct
2 Correct 5 ms 34680 KB Output is correct
3 Correct 5 ms 34652 KB Output is correct
4 Correct 5 ms 34652 KB Output is correct
5 Correct 5 ms 34648 KB Output is correct
6 Correct 5 ms 34900 KB Output is correct
7 Correct 6 ms 34908 KB Output is correct
8 Correct 6 ms 34908 KB Output is correct
9 Correct 6 ms 34908 KB Output is correct
10 Correct 5 ms 34652 KB Output is correct
11 Correct 6 ms 34908 KB Output is correct
12 Correct 6 ms 34652 KB Output is correct
13 Correct 7 ms 34652 KB Output is correct
14 Correct 5 ms 34652 KB Output is correct
15 Correct 6 ms 34904 KB Output is correct
16 Correct 5 ms 34904 KB Output is correct
17 Correct 5 ms 34652 KB Output is correct
18 Correct 6 ms 34908 KB Output is correct
19 Correct 5 ms 34652 KB Output is correct
20 Correct 6 ms 34908 KB Output is correct
21 Correct 6 ms 34908 KB Output is correct
22 Correct 5 ms 34652 KB Output is correct
23 Correct 6 ms 34908 KB Output is correct
24 Correct 6 ms 34908 KB Output is correct
25 Correct 8 ms 34752 KB Output is correct
26 Correct 6 ms 34904 KB Output is correct
27 Correct 5 ms 34908 KB Output is correct
28 Correct 5 ms 34908 KB Output is correct
29 Correct 5 ms 34748 KB Output is correct
30 Correct 5 ms 34652 KB Output is correct
31 Correct 6 ms 34908 KB Output is correct
32 Correct 6 ms 34696 KB Output is correct
33 Correct 6 ms 34904 KB Output is correct
34 Correct 7 ms 34904 KB Output is correct
35 Correct 114 ms 38352 KB Output is correct
36 Correct 431 ms 40708 KB Output is correct
37 Correct 401 ms 41120 KB Output is correct
38 Correct 378 ms 40532 KB Output is correct
39 Correct 7 ms 34904 KB Output is correct
40 Correct 8 ms 35164 KB Output is correct
41 Correct 8 ms 35164 KB Output is correct
42 Correct 7 ms 34908 KB Output is correct
43 Correct 44 ms 35124 KB Output is correct
44 Correct 42 ms 34908 KB Output is correct
45 Correct 7 ms 34908 KB Output is correct
46 Correct 7 ms 34908 KB Output is correct
47 Correct 9 ms 34928 KB Output is correct
48 Correct 9 ms 35164 KB Output is correct
49 Correct 73 ms 35672 KB Output is correct
50 Correct 437 ms 40864 KB Output is correct
51 Correct 70 ms 35164 KB Output is correct
52 Correct 311 ms 39252 KB Output is correct
53 Correct 71 ms 35940 KB Output is correct
54 Correct 392 ms 40020 KB Output is correct
55 Correct 64 ms 35704 KB Output is correct
56 Correct 53 ms 35668 KB Output is correct
57 Correct 47 ms 35664 KB Output is correct
58 Correct 46 ms 35668 KB Output is correct
59 Correct 7 ms 34908 KB Output is correct
60 Correct 52 ms 37408 KB Output is correct
61 Correct 16 ms 35164 KB Output is correct
62 Correct 401 ms 40280 KB Output is correct
63 Correct 293 ms 82256 KB Output is correct
64 Correct 312 ms 82080 KB Output is correct
65 Correct 281 ms 82260 KB Output is correct
66 Correct 85 ms 47024 KB Output is correct
67 Correct 147 ms 52204 KB Output is correct
68 Correct 96 ms 47300 KB Output is correct
69 Execution timed out 5046 ms 43572 KB Time limit exceeded
70 Halted 0 ms 0 KB -