Submission #918487

# Submission time Handle Problem Language Result Execution time Memory
918487 2024-01-29T23:10:56 Z trMatherz Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
1042 ms 69240 KB
#include <bits/stdc++.h>
typedef long long ll;
using namespace std;

int cmp[100001];
ll sz[100001], ans = 0;
set<int> child[100001], graph[100001], rgraph[100001];
queue<pair<int, int>> to_merge;

void insert_weak_connection(int A, int B) {
	graph[A].insert(B);
	rgraph[B].insert(A);
	// If there's A new strong connection between A's and B's components, merge
	// them
	if (graph[B].count(A)) to_merge.push({A, B});
}

int dsu_size(int A) {
	return child[A].size() + graph[A].size() + rgraph[A].size();
}

int find(int A) { return (A == cmp[A] ? A : cmp[A] = find(cmp[A])); }

void onion(int A, int B) {
	if (A == B) return;
	// Merge the smaller component into the larger
	if (dsu_size(A) < dsu_size(B)) swap(A, B);

	// Add new contribution
	ans += sz[B] * child[A].size() + sz[A] * child[B].size();

	// DSU stuff
	cmp[B] = A;
	sz[A] += sz[B];

	// Merge children of B into A
	for (int i : child[B]) {
		if (child[A].count(i)) ans -= sz[A];
		else child[A].insert(i);
	}
	// Erase the connections
	graph[A].erase(B), rgraph[A].erase(B);
	graph[B].erase(A), rgraph[B].erase(A);
	// Merge the weak connections to other components
	for (int i : graph[B]) {
		rgraph[i].erase(B);
		insert_weak_connection(A, i);
	}
	for (int i : rgraph[B]) {
		graph[i].erase(B);
		insert_weak_connection(i, A);
	}
}

int main() {
	cin.tie(0)->sync_with_stdio(0);
	int n, m;
	cin >> n >> m;
	for (int i = 1; i <= n; i++) {
		cmp[i] = i;
		sz[i] = 1;
		child[i].insert(i);
	}
	while (m--) {
		int A, B;
		cin >> A >> B;

		B = find(B);
		// If A isn't in B's component and doesn't already follow someone in B's
		// component...
		if (find(A) != B && !child[B].count(A)) {
			// We insert A as A follower of B and add sz[find(B)] to the answer
			child[B].insert(A);
			ans += sz[B];

			A = find(A);
			// Add connections between components
			insert_weak_connection(A, B);
			// We may have to merge multiple components for each new event
			while (to_merge.size()) {
				tie(A, B) = to_merge.front();
				to_merge.pop();
				onion(find(A), find(B));
			}
		}
		cout << ans << '\n';
	}
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 4 ms 14940 KB Output is correct
2 Correct 5 ms 14940 KB Output is correct
3 Correct 3 ms 14940 KB Output is correct
4 Correct 4 ms 14996 KB Output is correct
5 Correct 6 ms 14940 KB Output is correct
6 Correct 4 ms 14992 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 4 ms 14940 KB Output is correct
9 Correct 4 ms 14936 KB Output is correct
10 Correct 4 ms 14940 KB Output is correct
11 Correct 4 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 14964 KB Output is correct
15 Correct 4 ms 14996 KB Output is correct
16 Correct 3 ms 14940 KB Output is correct
17 Correct 4 ms 14940 KB Output is correct
18 Correct 3 ms 14940 KB Output is correct
19 Correct 4 ms 14940 KB Output is correct
20 Correct 4 ms 14940 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 4 ms 14940 KB Output is correct
23 Correct 4 ms 14940 KB Output is correct
24 Correct 4 ms 15000 KB Output is correct
25 Correct 5 ms 14940 KB Output is correct
26 Correct 4 ms 14940 KB Output is correct
27 Correct 4 ms 14936 KB Output is correct
28 Correct 4 ms 14940 KB Output is correct
29 Correct 6 ms 14940 KB Output is correct
30 Correct 3 ms 14936 KB Output is correct
31 Correct 4 ms 14936 KB Output is correct
32 Correct 4 ms 14936 KB Output is correct
33 Correct 4 ms 14936 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 14940 KB Output is correct
2 Correct 5 ms 14940 KB Output is correct
3 Correct 3 ms 14940 KB Output is correct
4 Correct 4 ms 14996 KB Output is correct
5 Correct 6 ms 14940 KB Output is correct
6 Correct 4 ms 14992 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 4 ms 14940 KB Output is correct
9 Correct 4 ms 14936 KB Output is correct
10 Correct 4 ms 14940 KB Output is correct
11 Correct 4 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 14964 KB Output is correct
15 Correct 4 ms 14996 KB Output is correct
16 Correct 3 ms 14940 KB Output is correct
17 Correct 4 ms 14940 KB Output is correct
18 Correct 3 ms 14940 KB Output is correct
19 Correct 4 ms 14940 KB Output is correct
20 Correct 4 ms 14940 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 4 ms 14940 KB Output is correct
23 Correct 4 ms 14940 KB Output is correct
24 Correct 4 ms 15000 KB Output is correct
25 Correct 5 ms 14940 KB Output is correct
26 Correct 4 ms 14940 KB Output is correct
27 Correct 4 ms 14936 KB Output is correct
28 Correct 4 ms 14940 KB Output is correct
29 Correct 6 ms 14940 KB Output is correct
30 Correct 3 ms 14936 KB Output is correct
31 Correct 4 ms 14936 KB Output is correct
32 Correct 4 ms 14936 KB Output is correct
33 Correct 4 ms 14936 KB Output is correct
34 Correct 5 ms 15136 KB Output is correct
35 Correct 60 ms 20820 KB Output is correct
36 Correct 86 ms 23760 KB Output is correct
37 Correct 82 ms 23532 KB Output is correct
38 Correct 76 ms 23140 KB Output is correct
39 Correct 5 ms 15196 KB Output is correct
40 Correct 6 ms 15708 KB Output is correct
41 Correct 6 ms 15708 KB Output is correct
42 Correct 5 ms 15196 KB Output is correct
43 Correct 6 ms 15196 KB Output is correct
44 Correct 6 ms 15196 KB Output is correct
45 Correct 6 ms 15300 KB Output is correct
46 Correct 5 ms 15196 KB Output is correct
47 Correct 7 ms 15520 KB Output is correct
48 Correct 7 ms 15452 KB Output is correct
49 Correct 13 ms 16216 KB Output is correct
50 Correct 83 ms 23760 KB Output is correct
51 Correct 9 ms 15448 KB Output is correct
52 Correct 76 ms 21932 KB Output is correct
53 Correct 11 ms 15960 KB Output is correct
54 Correct 72 ms 22868 KB Output is correct
55 Correct 7 ms 15704 KB Output is correct
56 Correct 8 ms 15536 KB Output is correct
57 Correct 7 ms 15708 KB Output is correct
58 Correct 8 ms 15708 KB Output is correct
59 Correct 6 ms 15708 KB Output is correct
60 Correct 59 ms 20500 KB Output is correct
61 Correct 10 ms 15452 KB Output is correct
62 Correct 78 ms 22960 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 14940 KB Output is correct
2 Correct 5 ms 14940 KB Output is correct
3 Correct 3 ms 14940 KB Output is correct
4 Correct 4 ms 14996 KB Output is correct
5 Correct 6 ms 14940 KB Output is correct
6 Correct 4 ms 14992 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 4 ms 14940 KB Output is correct
9 Correct 4 ms 14936 KB Output is correct
10 Correct 4 ms 14940 KB Output is correct
11 Correct 4 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 14964 KB Output is correct
15 Correct 4 ms 14996 KB Output is correct
16 Correct 3 ms 14940 KB Output is correct
17 Correct 4 ms 14940 KB Output is correct
18 Correct 3 ms 14940 KB Output is correct
19 Correct 4 ms 14940 KB Output is correct
20 Correct 4 ms 14940 KB Output is correct
21 Correct 4 ms 14940 KB Output is correct
22 Correct 4 ms 14940 KB Output is correct
23 Correct 4 ms 14940 KB Output is correct
24 Correct 4 ms 15000 KB Output is correct
25 Correct 5 ms 14940 KB Output is correct
26 Correct 4 ms 14940 KB Output is correct
27 Correct 4 ms 14936 KB Output is correct
28 Correct 4 ms 14940 KB Output is correct
29 Correct 6 ms 14940 KB Output is correct
30 Correct 3 ms 14936 KB Output is correct
31 Correct 4 ms 14936 KB Output is correct
32 Correct 4 ms 14936 KB Output is correct
33 Correct 4 ms 14936 KB Output is correct
34 Correct 5 ms 15136 KB Output is correct
35 Correct 60 ms 20820 KB Output is correct
36 Correct 86 ms 23760 KB Output is correct
37 Correct 82 ms 23532 KB Output is correct
38 Correct 76 ms 23140 KB Output is correct
39 Correct 5 ms 15196 KB Output is correct
40 Correct 6 ms 15708 KB Output is correct
41 Correct 6 ms 15708 KB Output is correct
42 Correct 5 ms 15196 KB Output is correct
43 Correct 6 ms 15196 KB Output is correct
44 Correct 6 ms 15196 KB Output is correct
45 Correct 6 ms 15300 KB Output is correct
46 Correct 5 ms 15196 KB Output is correct
47 Correct 7 ms 15520 KB Output is correct
48 Correct 7 ms 15452 KB Output is correct
49 Correct 13 ms 16216 KB Output is correct
50 Correct 83 ms 23760 KB Output is correct
51 Correct 9 ms 15448 KB Output is correct
52 Correct 76 ms 21932 KB Output is correct
53 Correct 11 ms 15960 KB Output is correct
54 Correct 72 ms 22868 KB Output is correct
55 Correct 7 ms 15704 KB Output is correct
56 Correct 8 ms 15536 KB Output is correct
57 Correct 7 ms 15708 KB Output is correct
58 Correct 8 ms 15708 KB Output is correct
59 Correct 6 ms 15708 KB Output is correct
60 Correct 59 ms 20500 KB Output is correct
61 Correct 10 ms 15452 KB Output is correct
62 Correct 78 ms 22960 KB Output is correct
63 Correct 573 ms 68296 KB Output is correct
64 Correct 540 ms 67924 KB Output is correct
65 Correct 561 ms 67952 KB Output is correct
66 Correct 186 ms 34032 KB Output is correct
67 Correct 384 ms 61008 KB Output is correct
68 Correct 188 ms 34384 KB Output is correct
69 Correct 315 ms 35152 KB Output is correct
70 Correct 197 ms 34136 KB Output is correct
71 Correct 191 ms 34160 KB Output is correct
72 Correct 402 ms 45136 KB Output is correct
73 Correct 410 ms 46780 KB Output is correct
74 Correct 1042 ms 68800 KB Output is correct
75 Correct 504 ms 42096 KB Output is correct
76 Correct 757 ms 53872 KB Output is correct
77 Correct 752 ms 54244 KB Output is correct
78 Correct 222 ms 37968 KB Output is correct
79 Correct 367 ms 42068 KB Output is correct
80 Correct 194 ms 36792 KB Output is correct
81 Correct 308 ms 40224 KB Output is correct
82 Correct 794 ms 55216 KB Output is correct
83 Correct 847 ms 55044 KB Output is correct
84 Correct 657 ms 53404 KB Output is correct
85 Correct 646 ms 53332 KB Output is correct
86 Correct 316 ms 66884 KB Output is correct
87 Correct 355 ms 69240 KB Output is correct
88 Correct 409 ms 46020 KB Output is correct
89 Correct 701 ms 51968 KB Output is correct