oj.uz

답안 #1100766

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1100766 2024-10-14T15:48:30 Z lmToT27 조이터에서 친구를 만드는건 재밌어 (JOI20_joitter2) C++17
100 / 100
 667 ms 69196 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;
}

Subtask #1
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 14928 KB Output is correct
2 Correct 2 ms 14928 KB Output is correct
3 Correct 3 ms 15004 KB Output is correct
4 Correct 3 ms 14932 KB Output is correct
5 Correct 3 ms 14932 KB Output is correct
6 Correct 3 ms 14932 KB Output is correct
7 Correct 3 ms 14932 KB Output is correct
8 Correct 4 ms 14932 KB Output is correct
9 Correct 3 ms 14932 KB Output is correct
10 Correct 3 ms 15096 KB Output is correct
11 Correct 3 ms 14996 KB Output is correct
12 Correct 3 ms 14932 KB Output is correct
13 Correct 3 ms 14932 KB Output is correct
14 Correct 3 ms 15096 KB Output is correct
15 Correct 3 ms 14932 KB Output is correct
16 Correct 3 ms 14932 KB Output is correct
17 Correct 3 ms 14932 KB Output is correct
18 Correct 3 ms 14932 KB Output is correct
19 Correct 3 ms 15004 KB Output is correct
20 Correct 3 ms 14932 KB Output is correct
21 Correct 4 ms 14932 KB Output is correct
22 Correct 3 ms 14932 KB Output is correct
23 Correct 3 ms 14932 KB Output is correct
24 Correct 4 ms 14932 KB Output is correct
25 Correct 3 ms 14932 KB Output is correct
26 Correct 3 ms 14932 KB Output is correct
27 Correct 3 ms 14964 KB Output is correct
28 Correct 3 ms 14932 KB Output is correct
29 Correct 3 ms 15000 KB Output is correct
30 Correct 3 ms 14932 KB Output is correct
31 Correct 3 ms 14932 KB Output is correct
32 Correct 3 ms 14932 KB Output is correct
33 Correct 4 ms 14932 KB Output is correct

Subtask #2
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 14928 KB Output is correct
2 Correct 2 ms 14928 KB Output is correct
3 Correct 3 ms 15004 KB Output is correct
4 Correct 3 ms 14932 KB Output is correct
5 Correct 3 ms 14932 KB Output is correct
6 Correct 3 ms 14932 KB Output is correct
7 Correct 3 ms 14932 KB Output is correct
8 Correct 4 ms 14932 KB Output is correct
9 Correct 3 ms 14932 KB Output is correct
10 Correct 3 ms 15096 KB Output is correct
11 Correct 3 ms 14996 KB Output is correct
12 Correct 3 ms 14932 KB Output is correct
13 Correct 3 ms 14932 KB Output is correct
14 Correct 3 ms 15096 KB Output is correct
15 Correct 3 ms 14932 KB Output is correct
16 Correct 3 ms 14932 KB Output is correct
17 Correct 3 ms 14932 KB Output is correct
18 Correct 3 ms 14932 KB Output is correct
19 Correct 3 ms 15004 KB Output is correct
20 Correct 3 ms 14932 KB Output is correct
21 Correct 4 ms 14932 KB Output is correct
22 Correct 3 ms 14932 KB Output is correct
23 Correct 3 ms 14932 KB Output is correct
24 Correct 4 ms 14932 KB Output is correct
25 Correct 3 ms 14932 KB Output is correct
26 Correct 3 ms 14932 KB Output is correct
27 Correct 3 ms 14964 KB Output is correct
28 Correct 3 ms 14932 KB Output is correct
29 Correct 3 ms 15000 KB Output is correct
30 Correct 3 ms 14932 KB Output is correct
31 Correct 3 ms 14932 KB Output is correct
32 Correct 3 ms 14932 KB Output is correct
33 Correct 4 ms 14932 KB Output is correct
34 Correct 5 ms 15012 KB Output is correct
35 Correct 56 ms 20820 KB Output is correct
36 Correct 82 ms 23540 KB Output is correct
37 Correct 78 ms 23628 KB Output is correct
38 Correct 71 ms 23124 KB Output is correct
39 Correct 5 ms 15188 KB Output is correct
40 Correct 6 ms 15700 KB Output is correct
41 Correct 6 ms 15700 KB Output is correct
42 Correct 5 ms 15188 KB Output is correct
43 Correct 6 ms 15188 KB Output is correct
44 Correct 6 ms 15188 KB Output is correct
45 Correct 6 ms 15188 KB Output is correct
46 Correct 5 ms 15188 KB Output is correct
47 Correct 6 ms 15516 KB Output is correct
48 Correct 6 ms 15444 KB Output is correct
49 Correct 12 ms 16212 KB Output is correct
50 Correct 76 ms 23860 KB Output is correct
51 Correct 8 ms 15444 KB Output is correct
52 Correct 66 ms 22092 KB Output is correct
53 Correct 11 ms 15956 KB Output is correct
54 Correct 68 ms 22752 KB Output is correct
55 Correct 7 ms 15700 KB Output is correct
56 Correct 7 ms 15752 KB Output is correct
57 Correct 6 ms 15864 KB Output is correct
58 Correct 6 ms 15544 KB Output is correct
59 Correct 5 ms 15864 KB Output is correct
60 Correct 49 ms 20556 KB Output is correct
61 Correct 6 ms 15444 KB Output is correct
62 Correct 72 ms 23028 KB Output is correct

Subtask #3
83.0 / 83.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 14928 KB Output is correct
2 Correct 2 ms 14928 KB Output is correct
3 Correct 3 ms 15004 KB Output is correct
4 Correct 3 ms 14932 KB Output is correct
5 Correct 3 ms 14932 KB Output is correct
6 Correct 3 ms 14932 KB Output is correct
7 Correct 3 ms 14932 KB Output is correct
8 Correct 4 ms 14932 KB Output is correct
9 Correct 3 ms 14932 KB Output is correct
10 Correct 3 ms 15096 KB Output is correct
11 Correct 3 ms 14996 KB Output is correct
12 Correct 3 ms 14932 KB Output is correct
13 Correct 3 ms 14932 KB Output is correct
14 Correct 3 ms 15096 KB Output is correct
15 Correct 3 ms 14932 KB Output is correct
16 Correct 3 ms 14932 KB Output is correct
17 Correct 3 ms 14932 KB Output is correct
18 Correct 3 ms 14932 KB Output is correct
19 Correct 3 ms 15004 KB Output is correct
20 Correct 3 ms 14932 KB Output is correct
21 Correct 4 ms 14932 KB Output is correct
22 Correct 3 ms 14932 KB Output is correct
23 Correct 3 ms 14932 KB Output is correct
24 Correct 4 ms 14932 KB Output is correct
25 Correct 3 ms 14932 KB Output is correct
26 Correct 3 ms 14932 KB Output is correct
27 Correct 3 ms 14964 KB Output is correct
28 Correct 3 ms 14932 KB Output is correct
29 Correct 3 ms 15000 KB Output is correct
30 Correct 3 ms 14932 KB Output is correct
31 Correct 3 ms 14932 KB Output is correct
32 Correct 3 ms 14932 KB Output is correct
33 Correct 4 ms 14932 KB Output is correct
34 Correct 5 ms 15012 KB Output is correct
35 Correct 56 ms 20820 KB Output is correct
36 Correct 82 ms 23540 KB Output is correct
37 Correct 78 ms 23628 KB Output is correct
38 Correct 71 ms 23124 KB Output is correct
39 Correct 5 ms 15188 KB Output is correct
40 Correct 6 ms 15700 KB Output is correct
41 Correct 6 ms 15700 KB Output is correct
42 Correct 5 ms 15188 KB Output is correct
43 Correct 6 ms 15188 KB Output is correct
44 Correct 6 ms 15188 KB Output is correct
45 Correct 6 ms 15188 KB Output is correct
46 Correct 5 ms 15188 KB Output is correct
47 Correct 6 ms 15516 KB Output is correct
48 Correct 6 ms 15444 KB Output is correct
49 Correct 12 ms 16212 KB Output is correct
50 Correct 76 ms 23860 KB Output is correct
51 Correct 8 ms 15444 KB Output is correct
52 Correct 66 ms 22092 KB Output is correct
53 Correct 11 ms 15956 KB Output is correct
54 Correct 68 ms 22752 KB Output is correct
55 Correct 7 ms 15700 KB Output is correct
56 Correct 7 ms 15752 KB Output is correct
57 Correct 6 ms 15864 KB Output is correct
58 Correct 6 ms 15544 KB Output is correct
59 Correct 5 ms 15864 KB Output is correct
60 Correct 49 ms 20556 KB Output is correct
61 Correct 6 ms 15444 KB Output is correct
62 Correct 72 ms 23028 KB Output is correct
63 Correct 319 ms 68036 KB Output is correct
64 Correct 334 ms 67916 KB Output is correct
65 Correct 343 ms 67916 KB Output is correct
66 Correct 145 ms 34124 KB Output is correct
67 Correct 293 ms 61124 KB Output is correct
68 Correct 148 ms 34124 KB Output is correct
69 Correct 263 ms 35148 KB Output is correct
70 Correct 171 ms 34124 KB Output is correct
71 Correct 145 ms 34124 KB Output is correct
72 Correct 270 ms 45132 KB Output is correct
73 Correct 329 ms 46852 KB Output is correct
74 Correct 667 ms 68684 KB Output is correct
75 Correct 377 ms 42060 KB Output is correct
76 Correct 503 ms 54048 KB Output is correct
77 Correct 511 ms 54172 KB Output is correct
78 Correct 190 ms 37768 KB Output is correct
79 Correct 272 ms 42060 KB Output is correct
80 Correct 149 ms 36428 KB Output is correct
81 Correct 255 ms 40268 KB Output is correct
82 Correct 573 ms 54604 KB Output is correct
83 Correct 516 ms 54556 KB Output is correct
84 Correct 413 ms 53448 KB Output is correct
85 Correct 420 ms 53460 KB Output is correct
86 Correct 220 ms 66892 KB Output is correct
87 Correct 229 ms 69196 KB Output is correct
88 Correct 259 ms 46000 KB Output is correct
89 Correct 410 ms 51964 KB Output is correct