oj.uz

답안 #766738

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
766738 2023-06-26T06:03:47 Z qwerasdfzxcl 조이터에서 친구를 만드는건 재밌어 (JOI20_joitter2) C++17
100 / 100
 691 ms 74100 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

set<int> G[100100];
ll ans;
queue<pair<int, int>> mergeQ;

struct DSU{
	ll path[100100], sz[100100];
	set<int> st[100100], elem[100100];

	void init(int n){
		for (int i=1;i<=n;i++){
			path[i] = i;
			st[i].clear();
			elem[i].clear();
			elem[i].insert(i);
			sz[i] = 1;
		}
	}

	int find(int s){
		if (s==path[s]) return s;
		return path[s] = find(path[s]);
	}

	void merge(int x, int y){
		// printf(" merge %d %d\n", x, y);
		x = find(x), y = find(y);
		if (x==y) return;

		if (st[x].size() + elem[x].size() + G[x].size() < st[y].size() + elem[y].size() + G[y].size()) swap(x, y);

		ans -= (ll)st[x].size() * sz[x];
		ans -= (ll)st[y].size() * sz[y];
		ans -= sz[x] * (sz[x]-1);
		ans -= sz[y] * (sz[y]-1);
		// printf(" delete -> %lld\n", ans);

		for (auto p:st[y]) if (find(p)!=x){
			st[x].insert(p);
			G[find(p)].insert(x);

			if (G[x].find(find(p))!=G[x].end()) mergeQ.emplace(x, find(p));
		} 

		for (auto p:elem[y]){
			auto iter = st[x].find(p);
			if (iter!=st[x].end()) st[x].erase(iter);
			elem[x].insert(p);
		}

		for (auto p:G[y]){
			int fp = find(p);
			if (G[fp].find(x)!=G[fp].end()) mergeQ.emplace(x, find(p));
			G[x].insert(find(p));
		}

		sz[x] += sz[y];
		ans += (ll)st[x].size() * sz[x];
		ans += sz[x] * (sz[x]-1);
		// printf(" add -> %lld (%d %lld)\n", ans, (int)st[x].size(), sz[x]);

		path[y] = x;
	}

	void insert(int x, int y){
		y = find(y);
		if (st[y].find(x)!=st[y].end()) return;

		ans += sz[y];
		st[y].insert(x);
		G[find(x)].insert(y);
	}
}dsu;

void update(int x, int y){
	int cx = dsu.find(x), cy = dsu.find(y);
	if (cx==cy) return;
	
	if (G[cy].find(cx)!=G[cy].end()){
		mergeQ.emplace(cx, cy);
		while(!mergeQ.empty()){
			auto [p, q] = mergeQ.front(); mergeQ.pop();
			dsu.merge(p, q);
		}
	} 
	
	else dsu.insert(x, cy);
}

int adj[55][55];
int naive(int n, int x, int y){
	adj[x][y] = 1;

	while(true){
		int flag = 0;
		for (int i=1;i<=n;i++){
			for (int j=1;j<=n;j++){
				for (int k=1;k<=n;k++) if (i!=j && j!=k && i!=k){
					if (flag) break;
					if (adj[i][j] && adj[j][k] && adj[k][j] && !adj[i][k]){
						adj[i][k] = 1;
						flag = 1;
					}
				}
				if (flag) break;
			}
			if (flag) break;
		}

		if (!flag) break;
	}

	int ret = 0;
	for (int i=1;i<=n;i++){
		for (int j=1;j<=n;j++) ret += adj[i][j];
	}

	return ret;
}

int main(){
	int n, m;
	scanf("%d %d", &n, &m);

	dsu.init(n);

	for (int i=1;i<=m;i++){
		int x, y;
		scanf("%d %d", &x, &y);
		update(x, y);
		// int tmp = naive(n, x, y);
		// printf("%lld (%d)\n", ans, tmp);
		// assert(tmp==ans);
		
		printf("%lld\n", ans);
	}
}

Compilation message

joitter2.cpp: In function 'int main()':
joitter2.cpp:127:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  127 |  scanf("%d %d", &n, &m);
      |  ~~~~~^~~~~~~~~~~~~~~~~
joitter2.cpp:133:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  133 |   scanf("%d %d", &x, &y);
      |   ~~~~~^~~~~~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 14292 KB Output is correct
2 Correct 7 ms 14420 KB Output is correct
3 Correct 7 ms 14300 KB Output is correct
4 Correct 7 ms 14356 KB Output is correct
5 Correct 8 ms 14400 KB Output is correct
6 Correct 8 ms 14420 KB Output is correct
7 Correct 8 ms 14420 KB Output is correct
8 Correct 8 ms 14420 KB Output is correct
9 Correct 8 ms 14344 KB Output is correct
10 Correct 7 ms 14412 KB Output is correct
11 Correct 7 ms 14420 KB Output is correct
12 Correct 8 ms 14316 KB Output is correct
13 Correct 8 ms 14420 KB Output is correct
14 Correct 7 ms 14420 KB Output is correct
15 Correct 7 ms 14308 KB Output is correct
16 Correct 7 ms 14340 KB Output is correct
17 Correct 9 ms 14408 KB Output is correct
18 Correct 7 ms 14420 KB Output is correct
19 Correct 8 ms 14408 KB Output is correct
20 Correct 7 ms 14420 KB Output is correct
21 Correct 9 ms 14468 KB Output is correct
22 Correct 8 ms 14420 KB Output is correct
23 Correct 7 ms 14420 KB Output is correct
24 Correct 7 ms 14420 KB Output is correct
25 Correct 8 ms 14400 KB Output is correct
26 Correct 8 ms 14408 KB Output is correct
27 Correct 7 ms 14420 KB Output is correct
28 Correct 7 ms 14420 KB Output is correct
29 Correct 10 ms 14420 KB Output is correct
30 Correct 8 ms 14372 KB Output is correct
31 Correct 8 ms 14420 KB Output is correct
32 Correct 6 ms 14420 KB Output is correct
33 Correct 8 ms 14420 KB Output is correct

Subtask #2
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 14292 KB Output is correct
2 Correct 7 ms 14420 KB Output is correct
3 Correct 7 ms 14300 KB Output is correct
4 Correct 7 ms 14356 KB Output is correct
5 Correct 8 ms 14400 KB Output is correct
6 Correct 8 ms 14420 KB Output is correct
7 Correct 8 ms 14420 KB Output is correct
8 Correct 8 ms 14420 KB Output is correct
9 Correct 8 ms 14344 KB Output is correct
10 Correct 7 ms 14412 KB Output is correct
11 Correct 7 ms 14420 KB Output is correct
12 Correct 8 ms 14316 KB Output is correct
13 Correct 8 ms 14420 KB Output is correct
14 Correct 7 ms 14420 KB Output is correct
15 Correct 7 ms 14308 KB Output is correct
16 Correct 7 ms 14340 KB Output is correct
17 Correct 9 ms 14408 KB Output is correct
18 Correct 7 ms 14420 KB Output is correct
19 Correct 8 ms 14408 KB Output is correct
20 Correct 7 ms 14420 KB Output is correct
21 Correct 9 ms 14468 KB Output is correct
22 Correct 8 ms 14420 KB Output is correct
23 Correct 7 ms 14420 KB Output is correct
24 Correct 7 ms 14420 KB Output is correct
25 Correct 8 ms 14400 KB Output is correct
26 Correct 8 ms 14408 KB Output is correct
27 Correct 7 ms 14420 KB Output is correct
28 Correct 7 ms 14420 KB Output is correct
29 Correct 10 ms 14420 KB Output is correct
30 Correct 8 ms 14372 KB Output is correct
31 Correct 8 ms 14420 KB Output is correct
32 Correct 6 ms 14420 KB Output is correct
33 Correct 8 ms 14420 KB Output is correct
34 Correct 9 ms 14548 KB Output is correct
35 Correct 79 ms 19960 KB Output is correct
36 Correct 112 ms 22248 KB Output is correct
37 Correct 117 ms 22328 KB Output is correct
38 Correct 98 ms 22044 KB Output is correct
39 Correct 8 ms 14804 KB Output is correct
40 Correct 10 ms 15188 KB Output is correct
41 Correct 10 ms 15160 KB Output is correct
42 Correct 9 ms 14804 KB Output is correct
43 Correct 9 ms 14804 KB Output is correct
44 Correct 11 ms 14844 KB Output is correct
45 Correct 8 ms 14892 KB Output is correct
46 Correct 10 ms 14932 KB Output is correct
47 Correct 10 ms 15060 KB Output is correct
48 Correct 11 ms 15064 KB Output is correct
49 Correct 17 ms 15632 KB Output is correct
50 Correct 96 ms 22420 KB Output is correct
51 Correct 11 ms 15188 KB Output is correct
52 Correct 96 ms 21036 KB Output is correct
53 Correct 14 ms 15572 KB Output is correct
54 Correct 119 ms 21700 KB Output is correct
55 Correct 11 ms 15228 KB Output is correct
56 Correct 10 ms 15156 KB Output is correct
57 Correct 10 ms 15188 KB Output is correct
58 Correct 13 ms 15188 KB Output is correct
59 Correct 9 ms 15188 KB Output is correct
60 Correct 77 ms 20132 KB Output is correct
61 Correct 10 ms 15060 KB Output is correct
62 Correct 93 ms 21828 KB Output is correct

Subtask #3
83.0 / 83.0

# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 14292 KB Output is correct
2 Correct 7 ms 14420 KB Output is correct
3 Correct 7 ms 14300 KB Output is correct
4 Correct 7 ms 14356 KB Output is correct
5 Correct 8 ms 14400 KB Output is correct
6 Correct 8 ms 14420 KB Output is correct
7 Correct 8 ms 14420 KB Output is correct
8 Correct 8 ms 14420 KB Output is correct
9 Correct 8 ms 14344 KB Output is correct
10 Correct 7 ms 14412 KB Output is correct
11 Correct 7 ms 14420 KB Output is correct
12 Correct 8 ms 14316 KB Output is correct
13 Correct 8 ms 14420 KB Output is correct
14 Correct 7 ms 14420 KB Output is correct
15 Correct 7 ms 14308 KB Output is correct
16 Correct 7 ms 14340 KB Output is correct
17 Correct 9 ms 14408 KB Output is correct
18 Correct 7 ms 14420 KB Output is correct
19 Correct 8 ms 14408 KB Output is correct
20 Correct 7 ms 14420 KB Output is correct
21 Correct 9 ms 14468 KB Output is correct
22 Correct 8 ms 14420 KB Output is correct
23 Correct 7 ms 14420 KB Output is correct
24 Correct 7 ms 14420 KB Output is correct
25 Correct 8 ms 14400 KB Output is correct
26 Correct 8 ms 14408 KB Output is correct
27 Correct 7 ms 14420 KB Output is correct
28 Correct 7 ms 14420 KB Output is correct
29 Correct 10 ms 14420 KB Output is correct
30 Correct 8 ms 14372 KB Output is correct
31 Correct 8 ms 14420 KB Output is correct
32 Correct 6 ms 14420 KB Output is correct
33 Correct 8 ms 14420 KB Output is correct
34 Correct 9 ms 14548 KB Output is correct
35 Correct 79 ms 19960 KB Output is correct
36 Correct 112 ms 22248 KB Output is correct
37 Correct 117 ms 22328 KB Output is correct
38 Correct 98 ms 22044 KB Output is correct
39 Correct 8 ms 14804 KB Output is correct
40 Correct 10 ms 15188 KB Output is correct
41 Correct 10 ms 15160 KB Output is correct
42 Correct 9 ms 14804 KB Output is correct
43 Correct 9 ms 14804 KB Output is correct
44 Correct 11 ms 14844 KB Output is correct
45 Correct 8 ms 14892 KB Output is correct
46 Correct 10 ms 14932 KB Output is correct
47 Correct 10 ms 15060 KB Output is correct
48 Correct 11 ms 15064 KB Output is correct
49 Correct 17 ms 15632 KB Output is correct
50 Correct 96 ms 22420 KB Output is correct
51 Correct 11 ms 15188 KB Output is correct
52 Correct 96 ms 21036 KB Output is correct
53 Correct 14 ms 15572 KB Output is correct
54 Correct 119 ms 21700 KB Output is correct
55 Correct 11 ms 15228 KB Output is correct
56 Correct 10 ms 15156 KB Output is correct
57 Correct 10 ms 15188 KB Output is correct
58 Correct 13 ms 15188 KB Output is correct
59 Correct 9 ms 15188 KB Output is correct
60 Correct 77 ms 20132 KB Output is correct
61 Correct 10 ms 15060 KB Output is correct
62 Correct 93 ms 21828 KB Output is correct
63 Correct 353 ms 54172 KB Output is correct
64 Correct 335 ms 54356 KB Output is correct
65 Correct 321 ms 54228 KB Output is correct
66 Correct 210 ms 39228 KB Output is correct
67 Correct 365 ms 65732 KB Output is correct
68 Correct 211 ms 39308 KB Output is correct
69 Correct 253 ms 36676 KB Output is correct
70 Correct 232 ms 39252 KB Output is correct
71 Correct 217 ms 39176 KB Output is correct
72 Correct 351 ms 49296 KB Output is correct
73 Correct 321 ms 51064 KB Output is correct
74 Correct 691 ms 73268 KB Output is correct
75 Correct 381 ms 44240 KB Output is correct
76 Correct 511 ms 58088 KB Output is correct
77 Correct 504 ms 58292 KB Output is correct
78 Correct 157 ms 38044 KB Output is correct
79 Correct 326 ms 45952 KB Output is correct
80 Correct 183 ms 36796 KB Output is correct
81 Correct 302 ms 41772 KB Output is correct
82 Correct 528 ms 57108 KB Output is correct
83 Correct 515 ms 57248 KB Output is correct
84 Correct 438 ms 57044 KB Output is correct
85 Correct 411 ms 57128 KB Output is correct
86 Correct 275 ms 71956 KB Output is correct
87 Correct 330 ms 74100 KB Output is correct
88 Correct 311 ms 50268 KB Output is correct
89 Correct 505 ms 56784 KB Output is correct