oj.uz

Submission #330607

# Submission time Handle Problem Language Result Execution time Memory
330607 2020-11-25T23:55:32 Z limabeans Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
 753 ms 128876 KB 
#include <bits/stdc++.h>
using namespace std;






using ll = long long;


const int maxn = 1e6 + 5;


ll nc2(ll x) {
    return x*(x-1)/2;
}

int n, q;
ll ans = 0;
int par[maxn], siz[maxn];


int parent(int x) {
    return par[x]==x?x:par[x]=parent(par[x]);
}


set<int> in[maxn]; //in[par]={node..}
set<pair<int,int>> out[maxn]; //out[par]={(par,node)..}

void join(int u, int v) {
    int x = parent(u);
    int y = parent(v);
    if (x==y) return;
    auto iter = out[y].lower_bound({x,0});
    if (iter!=out[y].end() && iter->first==x) {
	if (in[x].size()+out[x].size()<in[y].size()+out[y].size()) {
	    swap(x,y);
	}

	vector<pair<int,int>> vo;
	for (auto p: out[y]) {
	    ans -= siz[p.first];
	    in[p.first].erase(p.second);
	    if (p.first != x) vo.push_back(p);
	}

	out[y].clear();

	ans += 1ll*siz[y]*(2*siz[x] + in[x].size() - in[y].size());
	//                 internal   into x -> y    remove stuff pointing at y


	vector<int> vi;
	for (int i: in[y]) {
	    int pi = parent(i);
	    out[pi].erase({y,i});
	    if (pi != x) vi.push_back(i);
	}

	in[y].clear();


	par[y]=x;
	siz[x] += siz[y];

	for (int i: vi) join(i,x);
	for (auto p: vo) join(p.second,p.first);
	
    } else if (!in[y].count(u)) {
	ans += siz[y];
	in[y].insert(u);
	out[x].insert({y,u});
    }
}


int main() {
    ios_base::sync_with_stdio(false); cin.tie(0);  cout.tie(0);

    cin>>n>>q;

    for (int i=0; i<n; i++) {
	par[i]=i;
	siz[i]=1;
    }

    while (q--) {
	int u,v;
	cin>>u>>v;
	--u; --v;
	join(u,v);
	cout<<ans<<"\n";
    }
    
    
    return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 94316 KB Output is correct
2 Correct 63 ms 94316 KB Output is correct
3 Correct 63 ms 94316 KB Output is correct
4 Correct 62 ms 94444 KB Output is correct
5 Correct 65 ms 94316 KB Output is correct
6 Correct 62 ms 94316 KB Output is correct
7 Correct 68 ms 94316 KB Output is correct
8 Correct 64 ms 94316 KB Output is correct
9 Correct 62 ms 94316 KB Output is correct
10 Correct 62 ms 94316 KB Output is correct
11 Correct 63 ms 94316 KB Output is correct
12 Correct 63 ms 94316 KB Output is correct
13 Correct 65 ms 94316 KB Output is correct
14 Correct 62 ms 94316 KB Output is correct
15 Correct 63 ms 94316 KB Output is correct
16 Correct 63 ms 94316 KB Output is correct
17 Correct 62 ms 94316 KB Output is correct
18 Correct 62 ms 94316 KB Output is correct
19 Correct 62 ms 94316 KB Output is correct
20 Correct 62 ms 94316 KB Output is correct
21 Correct 64 ms 94316 KB Output is correct
22 Correct 63 ms 94316 KB Output is correct
23 Correct 63 ms 94316 KB Output is correct
24 Correct 62 ms 94316 KB Output is correct
25 Correct 62 ms 94316 KB Output is correct
26 Correct 63 ms 94336 KB Output is correct
27 Correct 64 ms 94316 KB Output is correct
28 Correct 62 ms 94316 KB Output is correct
29 Correct 62 ms 94316 KB Output is correct
30 Correct 63 ms 94316 KB Output is correct
31 Correct 64 ms 94316 KB Output is correct
32 Correct 62 ms 94316 KB Output is correct
33 Correct 64 ms 94316 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 94316 KB Output is correct
2 Correct 63 ms 94316 KB Output is correct
3 Correct 63 ms 94316 KB Output is correct
4 Correct 62 ms 94444 KB Output is correct
5 Correct 65 ms 94316 KB Output is correct
6 Correct 62 ms 94316 KB Output is correct
7 Correct 68 ms 94316 KB Output is correct
8 Correct 64 ms 94316 KB Output is correct
9 Correct 62 ms 94316 KB Output is correct
10 Correct 62 ms 94316 KB Output is correct
11 Correct 63 ms 94316 KB Output is correct
12 Correct 63 ms 94316 KB Output is correct
13 Correct 65 ms 94316 KB Output is correct
14 Correct 62 ms 94316 KB Output is correct
15 Correct 63 ms 94316 KB Output is correct
16 Correct 63 ms 94316 KB Output is correct
17 Correct 62 ms 94316 KB Output is correct
18 Correct 62 ms 94316 KB Output is correct
19 Correct 62 ms 94316 KB Output is correct
20 Correct 62 ms 94316 KB Output is correct
21 Correct 64 ms 94316 KB Output is correct
22 Correct 63 ms 94316 KB Output is correct
23 Correct 63 ms 94316 KB Output is correct
24 Correct 62 ms 94316 KB Output is correct
25 Correct 62 ms 94316 KB Output is correct
26 Correct 63 ms 94336 KB Output is correct
27 Correct 64 ms 94316 KB Output is correct
28 Correct 62 ms 94316 KB Output is correct
29 Correct 62 ms 94316 KB Output is correct
30 Correct 63 ms 94316 KB Output is correct
31 Correct 64 ms 94316 KB Output is correct
32 Correct 62 ms 94316 KB Output is correct
33 Correct 64 ms 94316 KB Output is correct
34 Correct 75 ms 94444 KB Output is correct
35 Correct 147 ms 99692 KB Output is correct
36 Correct 167 ms 101868 KB Output is correct
37 Correct 166 ms 101868 KB Output is correct
38 Correct 167 ms 101752 KB Output is correct
39 Correct 63 ms 94444 KB Output is correct
40 Correct 64 ms 94444 KB Output is correct
41 Correct 66 ms 94444 KB Output is correct
42 Correct 64 ms 94444 KB Output is correct
43 Correct 68 ms 94572 KB Output is correct
44 Correct 65 ms 94444 KB Output is correct
45 Correct 65 ms 94444 KB Output is correct
46 Correct 64 ms 94444 KB Output is correct
47 Correct 66 ms 94444 KB Output is correct
48 Correct 65 ms 94572 KB Output is correct
49 Correct 71 ms 95084 KB Output is correct
50 Correct 170 ms 101996 KB Output is correct
51 Correct 68 ms 94700 KB Output is correct
52 Correct 158 ms 100844 KB Output is correct
53 Correct 70 ms 94956 KB Output is correct
54 Correct 163 ms 101420 KB Output is correct
55 Correct 67 ms 94828 KB Output is correct
56 Correct 66 ms 94700 KB Output is correct
57 Correct 66 ms 94828 KB Output is correct
58 Correct 66 ms 94956 KB Output is correct
59 Correct 64 ms 94444 KB Output is correct
60 Correct 148 ms 99308 KB Output is correct
61 Correct 66 ms 94444 KB Output is correct
62 Correct 162 ms 101484 KB Output is correct

Subtask #3
83.0 / 83.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 94316 KB Output is correct
2 Correct 63 ms 94316 KB Output is correct
3 Correct 63 ms 94316 KB Output is correct
4 Correct 62 ms 94444 KB Output is correct
5 Correct 65 ms 94316 KB Output is correct
6 Correct 62 ms 94316 KB Output is correct
7 Correct 68 ms 94316 KB Output is correct
8 Correct 64 ms 94316 KB Output is correct
9 Correct 62 ms 94316 KB Output is correct
10 Correct 62 ms 94316 KB Output is correct
11 Correct 63 ms 94316 KB Output is correct
12 Correct 63 ms 94316 KB Output is correct
13 Correct 65 ms 94316 KB Output is correct
14 Correct 62 ms 94316 KB Output is correct
15 Correct 63 ms 94316 KB Output is correct
16 Correct 63 ms 94316 KB Output is correct
17 Correct 62 ms 94316 KB Output is correct
18 Correct 62 ms 94316 KB Output is correct
19 Correct 62 ms 94316 KB Output is correct
20 Correct 62 ms 94316 KB Output is correct
21 Correct 64 ms 94316 KB Output is correct
22 Correct 63 ms 94316 KB Output is correct
23 Correct 63 ms 94316 KB Output is correct
24 Correct 62 ms 94316 KB Output is correct
25 Correct 62 ms 94316 KB Output is correct
26 Correct 63 ms 94336 KB Output is correct
27 Correct 64 ms 94316 KB Output is correct
28 Correct 62 ms 94316 KB Output is correct
29 Correct 62 ms 94316 KB Output is correct
30 Correct 63 ms 94316 KB Output is correct
31 Correct 64 ms 94316 KB Output is correct
32 Correct 62 ms 94316 KB Output is correct
33 Correct 64 ms 94316 KB Output is correct
34 Correct 75 ms 94444 KB Output is correct
35 Correct 147 ms 99692 KB Output is correct
36 Correct 167 ms 101868 KB Output is correct
37 Correct 166 ms 101868 KB Output is correct
38 Correct 167 ms 101752 KB Output is correct
39 Correct 63 ms 94444 KB Output is correct
40 Correct 64 ms 94444 KB Output is correct
41 Correct 66 ms 94444 KB Output is correct
42 Correct 64 ms 94444 KB Output is correct
43 Correct 68 ms 94572 KB Output is correct
44 Correct 65 ms 94444 KB Output is correct
45 Correct 65 ms 94444 KB Output is correct
46 Correct 64 ms 94444 KB Output is correct
47 Correct 66 ms 94444 KB Output is correct
48 Correct 65 ms 94572 KB Output is correct
49 Correct 71 ms 95084 KB Output is correct
50 Correct 170 ms 101996 KB Output is correct
51 Correct 68 ms 94700 KB Output is correct
52 Correct 158 ms 100844 KB Output is correct
53 Correct 70 ms 94956 KB Output is correct
54 Correct 163 ms 101420 KB Output is correct
55 Correct 67 ms 94828 KB Output is correct
56 Correct 66 ms 94700 KB Output is correct
57 Correct 66 ms 94828 KB Output is correct
58 Correct 66 ms 94956 KB Output is correct
59 Correct 64 ms 94444 KB Output is correct
60 Correct 148 ms 99308 KB Output is correct
61 Correct 66 ms 94444 KB Output is correct
62 Correct 162 ms 101484 KB Output is correct
63 Correct 465 ms 128876 KB Output is correct
64 Correct 469 ms 128876 KB Output is correct
65 Correct 468 ms 128748 KB Output is correct
66 Correct 158 ms 99636 KB Output is correct
67 Correct 234 ms 103404 KB Output is correct
68 Correct 158 ms 99564 KB Output is correct
69 Correct 305 ms 104320 KB Output is correct
70 Correct 171 ms 99436 KB Output is correct
71 Correct 166 ms 99436 KB Output is correct
72 Correct 272 ms 103532 KB Output is correct
73 Correct 269 ms 103660 KB Output is correct
74 Correct 753 ms 112828 KB Output is correct
75 Correct 471 ms 109036 KB Output is correct
76 Correct 564 ms 111724 KB Output is correct
77 Correct 563 ms 111852 KB Output is correct
78 Correct 237 ms 103020 KB Output is correct
79 Correct 347 ms 106732 KB Output is correct
80 Correct 212 ms 103020 KB Output is correct
81 Correct 310 ms 106220 KB Output is correct
82 Correct 556 ms 117548 KB Output is correct
83 Correct 539 ms 117596 KB Output is correct
84 Correct 491 ms 117996 KB Output is correct
85 Correct 494 ms 117868 KB Output is correct
86 Correct 165 ms 98668 KB Output is correct
87 Correct 194 ms 100972 KB Output is correct
88 Correct 281 ms 103660 KB Output is correct
89 Correct 552 ms 111468 KB Output is correct