Submission #877056

# Submission time Handle Problem Language Result Execution time Memory
877056 2023-11-22T19:51:32 Z parsadox2 Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
1205 ms 77608 KB
#include <bits/stdc++.h>

using namespace std;

const int N = 1e5 + 10 , M = 3e5 + 10;
int n , m;
long long fin_ans = 0;

struct DSU{
	set <int> st[N] , in[N] , out[N];
	int sz[N] , par[N];
	void Build()
	{
		for(int i = 1 ; i <= n ; i++)
		{
			sz[i] = 1;
			st[i].insert(i);
			in[i].insert(i);
			out[i].insert(i);
		}
	}
	int root(int v)
	{
		return (par[v] == 0 ? v : par[v] = root(par[v]));
	}
	bool Check(int a , int b)
	{
		if(out[a].find(b) != out[a].end() && in[a].find(b) != in[a].end())
			return true;
		return false;
	}
	void Merge(int a , int b)
	{
		fin_ans -= 1LL * sz[a] * ((long long)st[a].size() - 1);
		fin_ans -= 1LL * sz[b] * ((long long)st[b].size() - 1);
		if(sz[a] > sz[b])
			swap(a , b);
		for(auto u : st[a])
			st[b].insert(u);
		vector <int> tmp;
		for(auto u : out[a])   if(u != a && u != b)
		{
			in[u].erase(a);
			out[b].insert(u);
			in[u].insert(b);
			tmp.push_back(u);		
		}
		for(auto u : in[a])  if(u != a && u != b)
		{
			out[u].erase(a);
			in[b].insert(u);
			out[u].insert(b);
			tmp.push_back(u);
		}
		st[a].clear();
		in[a].clear();
		out[a].clear();
		par[a] = b;
		sz[b] += sz[a];
		fin_ans += 1LL * sz[b] * ((long long)st[b].size() - 1);
		for(auto u : tmp)  if(root(b) != root(u) && Check(root(b) , root(u)))
			Merge(root(b) , root(u));
	}
	void Add(int a , int b)
	{
		int ra = root(a) , rb = root(b);
		if(st[ra].find(b) != st[ra].end())
			return;
		st[ra].insert(b);
		out[ra].insert(rb);
		in[rb].insert(ra);
		fin_ans += sz[ra];
		if(Check(ra , rb))
		{
			Merge(ra , rb);
			return;
		}
	}
} dsu;

signed main()
{
	ios::sync_with_stdio(false);
	cin.tie(0);   cout.tie(0);
	cin >> n >> m;
	dsu.Build();
	while(m--)
	{
		int u , v;  cin >> u >> v;
		dsu.Add(v , u);
		cout << fin_ans << '\n';
	}
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 14940 KB Output is correct
2 Correct 3 ms 14940 KB Output is correct
3 Correct 3 ms 14956 KB Output is correct
4 Correct 3 ms 14968 KB Output is correct
5 Correct 3 ms 14940 KB Output is correct
6 Correct 4 ms 14940 KB Output is correct
7 Correct 3 ms 14940 KB Output is correct
8 Correct 3 ms 14940 KB Output is correct
9 Correct 3 ms 14940 KB Output is correct
10 Correct 4 ms 14940 KB Output is correct
11 Correct 3 ms 14940 KB Output is correct
12 Correct 3 ms 14940 KB Output is correct
13 Correct 3 ms 14940 KB Output is correct
14 Correct 3 ms 14940 KB Output is correct
15 Correct 3 ms 14940 KB Output is correct
16 Correct 3 ms 14940 KB Output is correct
17 Correct 3 ms 14940 KB Output is correct
18 Correct 3 ms 14940 KB Output is correct
19 Correct 3 ms 14940 KB Output is correct
20 Correct 3 ms 14940 KB Output is correct
21 Correct 3 ms 15012 KB Output is correct
22 Correct 3 ms 14940 KB Output is correct
23 Correct 3 ms 14940 KB Output is correct
24 Correct 3 ms 14944 KB Output is correct
25 Correct 3 ms 14936 KB Output is correct
26 Correct 3 ms 14940 KB Output is correct
27 Correct 3 ms 14940 KB Output is correct
28 Correct 3 ms 14940 KB Output is correct
29 Correct 3 ms 14940 KB Output is correct
30 Correct 3 ms 14940 KB Output is correct
31 Correct 3 ms 14940 KB Output is correct
32 Correct 3 ms 14940 KB Output is correct
33 Correct 4 ms 14940 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 14940 KB Output is correct
2 Correct 3 ms 14940 KB Output is correct
3 Correct 3 ms 14956 KB Output is correct
4 Correct 3 ms 14968 KB Output is correct
5 Correct 3 ms 14940 KB Output is correct
6 Correct 4 ms 14940 KB Output is correct
7 Correct 3 ms 14940 KB Output is correct
8 Correct 3 ms 14940 KB Output is correct
9 Correct 3 ms 14940 KB Output is correct
10 Correct 4 ms 14940 KB Output is correct
11 Correct 3 ms 14940 KB Output is correct
12 Correct 3 ms 14940 KB Output is correct
13 Correct 3 ms 14940 KB Output is correct
14 Correct 3 ms 14940 KB Output is correct
15 Correct 3 ms 14940 KB Output is correct
16 Correct 3 ms 14940 KB Output is correct
17 Correct 3 ms 14940 KB Output is correct
18 Correct 3 ms 14940 KB Output is correct
19 Correct 3 ms 14940 KB Output is correct
20 Correct 3 ms 14940 KB Output is correct
21 Correct 3 ms 15012 KB Output is correct
22 Correct 3 ms 14940 KB Output is correct
23 Correct 3 ms 14940 KB Output is correct
24 Correct 3 ms 14944 KB Output is correct
25 Correct 3 ms 14936 KB Output is correct
26 Correct 3 ms 14940 KB Output is correct
27 Correct 3 ms 14940 KB Output is correct
28 Correct 3 ms 14940 KB Output is correct
29 Correct 3 ms 14940 KB Output is correct
30 Correct 3 ms 14940 KB Output is correct
31 Correct 3 ms 14940 KB Output is correct
32 Correct 3 ms 14940 KB Output is correct
33 Correct 4 ms 14940 KB Output is correct
34 Correct 4 ms 14940 KB Output is correct
35 Correct 76 ms 18512 KB Output is correct
36 Correct 99 ms 21328 KB Output is correct
37 Correct 98 ms 21328 KB Output is correct
38 Correct 95 ms 21072 KB Output is correct
39 Correct 6 ms 15192 KB Output is correct
40 Correct 8 ms 15452 KB Output is correct
41 Correct 9 ms 15452 KB Output is correct
42 Correct 6 ms 15196 KB Output is correct
43 Correct 6 ms 15196 KB Output is correct
44 Correct 5 ms 15448 KB Output is correct
45 Correct 5 ms 15212 KB Output is correct
46 Correct 5 ms 15192 KB Output is correct
47 Correct 7 ms 15452 KB Output is correct
48 Correct 7 ms 15452 KB Output is correct
49 Correct 12 ms 15964 KB Output is correct
50 Correct 99 ms 21332 KB Output is correct
51 Correct 8 ms 15448 KB Output is correct
52 Correct 91 ms 19784 KB Output is correct
53 Correct 11 ms 15964 KB Output is correct
54 Correct 94 ms 20552 KB Output is correct
55 Correct 7 ms 15960 KB Output is correct
56 Correct 7 ms 15960 KB Output is correct
57 Correct 7 ms 16220 KB Output is correct
58 Correct 7 ms 16220 KB Output is correct
59 Correct 8 ms 15448 KB Output is correct
60 Correct 80 ms 17744 KB Output is correct
61 Correct 8 ms 15448 KB Output is correct
62 Correct 95 ms 20820 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 14940 KB Output is correct
2 Correct 3 ms 14940 KB Output is correct
3 Correct 3 ms 14956 KB Output is correct
4 Correct 3 ms 14968 KB Output is correct
5 Correct 3 ms 14940 KB Output is correct
6 Correct 4 ms 14940 KB Output is correct
7 Correct 3 ms 14940 KB Output is correct
8 Correct 3 ms 14940 KB Output is correct
9 Correct 3 ms 14940 KB Output is correct
10 Correct 4 ms 14940 KB Output is correct
11 Correct 3 ms 14940 KB Output is correct
12 Correct 3 ms 14940 KB Output is correct
13 Correct 3 ms 14940 KB Output is correct
14 Correct 3 ms 14940 KB Output is correct
15 Correct 3 ms 14940 KB Output is correct
16 Correct 3 ms 14940 KB Output is correct
17 Correct 3 ms 14940 KB Output is correct
18 Correct 3 ms 14940 KB Output is correct
19 Correct 3 ms 14940 KB Output is correct
20 Correct 3 ms 14940 KB Output is correct
21 Correct 3 ms 15012 KB Output is correct
22 Correct 3 ms 14940 KB Output is correct
23 Correct 3 ms 14940 KB Output is correct
24 Correct 3 ms 14944 KB Output is correct
25 Correct 3 ms 14936 KB Output is correct
26 Correct 3 ms 14940 KB Output is correct
27 Correct 3 ms 14940 KB Output is correct
28 Correct 3 ms 14940 KB Output is correct
29 Correct 3 ms 14940 KB Output is correct
30 Correct 3 ms 14940 KB Output is correct
31 Correct 3 ms 14940 KB Output is correct
32 Correct 3 ms 14940 KB Output is correct
33 Correct 4 ms 14940 KB Output is correct
34 Correct 4 ms 14940 KB Output is correct
35 Correct 76 ms 18512 KB Output is correct
36 Correct 99 ms 21328 KB Output is correct
37 Correct 98 ms 21328 KB Output is correct
38 Correct 95 ms 21072 KB Output is correct
39 Correct 6 ms 15192 KB Output is correct
40 Correct 8 ms 15452 KB Output is correct
41 Correct 9 ms 15452 KB Output is correct
42 Correct 6 ms 15196 KB Output is correct
43 Correct 6 ms 15196 KB Output is correct
44 Correct 5 ms 15448 KB Output is correct
45 Correct 5 ms 15212 KB Output is correct
46 Correct 5 ms 15192 KB Output is correct
47 Correct 7 ms 15452 KB Output is correct
48 Correct 7 ms 15452 KB Output is correct
49 Correct 12 ms 15964 KB Output is correct
50 Correct 99 ms 21332 KB Output is correct
51 Correct 8 ms 15448 KB Output is correct
52 Correct 91 ms 19784 KB Output is correct
53 Correct 11 ms 15964 KB Output is correct
54 Correct 94 ms 20552 KB Output is correct
55 Correct 7 ms 15960 KB Output is correct
56 Correct 7 ms 15960 KB Output is correct
57 Correct 7 ms 16220 KB Output is correct
58 Correct 7 ms 16220 KB Output is correct
59 Correct 8 ms 15448 KB Output is correct
60 Correct 80 ms 17744 KB Output is correct
61 Correct 8 ms 15448 KB Output is correct
62 Correct 95 ms 20820 KB Output is correct
63 Correct 480 ms 73180 KB Output is correct
64 Correct 473 ms 73192 KB Output is correct
65 Correct 472 ms 73300 KB Output is correct
66 Correct 235 ms 31316 KB Output is correct
67 Correct 992 ms 45292 KB Output is correct
68 Correct 229 ms 31480 KB Output is correct
69 Correct 349 ms 38408 KB Output is correct
70 Correct 254 ms 31312 KB Output is correct
71 Correct 282 ms 31436 KB Output is correct
72 Correct 667 ms 40196 KB Output is correct
73 Correct 678 ms 41596 KB Output is correct
74 Correct 1205 ms 53072 KB Output is correct
75 Correct 530 ms 43140 KB Output is correct
76 Correct 843 ms 49284 KB Output is correct
77 Correct 841 ms 49236 KB Output is correct
78 Correct 225 ms 37712 KB Output is correct
79 Correct 412 ms 39252 KB Output is correct
80 Correct 211 ms 37712 KB Output is correct
81 Correct 356 ms 39240 KB Output is correct
82 Correct 666 ms 58704 KB Output is correct
83 Correct 672 ms 59124 KB Output is correct
84 Correct 649 ms 77608 KB Output is correct
85 Correct 633 ms 77608 KB Output is correct
86 Correct 898 ms 45256 KB Output is correct
87 Correct 884 ms 46260 KB Output is correct
88 Correct 739 ms 41152 KB Output is correct
89 Correct 827 ms 48060 KB Output is correct