Submission #852287

# Submission time Handle Problem Language Result Execution time Memory
852287 2023-09-21T14:18:52 Z mat_jur Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
842 ms 68344 KB
#include <bits/stdc++.h>
using namespace std;
#ifdef DEBUG
auto&operator<<(auto &o, pair<auto, auto> p) {o << "(" << p.first << ", " << p.second << ")"; return o;}
auto operator<<(auto &o, auto x)->decltype(x.end(), o) {o<<"{"; for(auto e : x) o<<e<<", "; return o<<"}";}
#define debug(X) cerr << "["#X"]: " << X << '\n';
#else 
#define debug(X) ;
#endif
#define ll long long
#define all(v) (v).begin(), (v).end()
#define FOR(i,l,r) for(int i=(l);i<=(r);++i)
#define ROF(i,r,l) for(int i=(r);i>=(l);--i)
#define REP(i,n) FOR(i,0,(n)-1)
#define ssize(x) int(x.size())
#define fi first
#define se second
#define mp make_pair
#define eb emplace_back

class UF {
public:
	int N;
	vector<int> e;
	vector<set<int>> to;
	vector<set<int>> c;
	vector<set<int>> rev;
	queue<pair<int, int>> to_merge;
	ll res;
	UF(int n) {
		N = n;
		e.resize(N, -1);
		to.resize(N);
		c.resize(N);
		rev.resize(N);
		REP(i, N) c[i].insert(i);
		res = 0;
	}
	int get(int a) {return e[a]<0?a:e[a] = get(e[a]);}
	int sz(int a) {return -e[get(a)];}
	int all_sz(int a) {return ssize(rev[a])+ssize(to[a])+ssize(c[a]);}
	void addEdge(int a, int b) {
		a = get(a); b = get(b);
		if (a == b) return;
		to[a].insert(b);
		rev[b].insert(a);
		if (to[b].count(a)) to_merge.push(mp(a, b));
	}
	void merge(int a, int b) {
		a = get(a); b = get(b);
		if (a == b) return;
		res += (ll)sz(a)*(ll)ssize(c[b])+(ll)sz(b)*(ll)ssize(c[a]);
		if (all_sz(a) > all_sz(b)) swap(a, b);
		for (int x : c[a]) {
			if (c[b].count(x)) res -= sz(a)+sz(b);
			else c[b].insert(x);
		}
		to[a].erase(b); to[b].erase(a);
		rev[b].erase(a); rev[a].erase(b);
		for (int x : to[a]) {
			rev[x].erase(a);
			addEdge(b, x);
		}
		for (int x : rev[a]) {
			to[x].erase(a);
			addEdge(x, b);
		}

		e[b] += e[a];
		e[a] = b;
	}
	void add(int a, int b) {
		b = get(b);
		if (get(a) != b && !c[b].count(a)){
			c[b].insert(a);
			res += sz(b);
			a = get(a);
			addEdge(a, b);
			while (to_merge.size() > 0) {
				pair<int, int> p = to_merge.front();
				to_merge.pop();
				merge(p.fi, p.se);
			}
		}
	}
};

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

	int n, m;
	cin >> n >> m;
	UF u(n);
	REP(i, m) {
		int a, b;
		cin >> a >> b;
		a--; b--;
		u.add(a, b);	
		cout << u.res << '\n';
		debug(u.e);
	}

	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 460 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 412 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 460 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 412 KB Output is correct
34 Correct 2 ms 348 KB Output is correct
35 Correct 55 ms 4068 KB Output is correct
36 Correct 76 ms 6668 KB Output is correct
37 Correct 73 ms 6708 KB Output is correct
38 Correct 70 ms 6484 KB Output is correct
39 Correct 2 ms 856 KB Output is correct
40 Correct 4 ms 1372 KB Output is correct
41 Correct 4 ms 1368 KB Output is correct
42 Correct 2 ms 860 KB Output is correct
43 Correct 3 ms 860 KB Output is correct
44 Correct 3 ms 860 KB Output is correct
45 Correct 2 ms 860 KB Output is correct
46 Correct 2 ms 860 KB Output is correct
47 Correct 4 ms 1116 KB Output is correct
48 Correct 4 ms 1116 KB Output is correct
49 Correct 8 ms 1884 KB Output is correct
50 Correct 77 ms 6880 KB Output is correct
51 Correct 5 ms 1112 KB Output is correct
52 Correct 67 ms 5336 KB Output is correct
53 Correct 8 ms 1640 KB Output is correct
54 Correct 67 ms 5984 KB Output is correct
55 Correct 5 ms 1372 KB Output is correct
56 Correct 5 ms 1632 KB Output is correct
57 Correct 4 ms 1372 KB Output is correct
58 Correct 4 ms 1372 KB Output is correct
59 Correct 3 ms 1372 KB Output is correct
60 Correct 53 ms 3664 KB Output is correct
61 Correct 5 ms 1116 KB Output is correct
62 Correct 70 ms 6256 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 460 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 412 KB Output is correct
34 Correct 2 ms 348 KB Output is correct
35 Correct 55 ms 4068 KB Output is correct
36 Correct 76 ms 6668 KB Output is correct
37 Correct 73 ms 6708 KB Output is correct
38 Correct 70 ms 6484 KB Output is correct
39 Correct 2 ms 856 KB Output is correct
40 Correct 4 ms 1372 KB Output is correct
41 Correct 4 ms 1368 KB Output is correct
42 Correct 2 ms 860 KB Output is correct
43 Correct 3 ms 860 KB Output is correct
44 Correct 3 ms 860 KB Output is correct
45 Correct 2 ms 860 KB Output is correct
46 Correct 2 ms 860 KB Output is correct
47 Correct 4 ms 1116 KB Output is correct
48 Correct 4 ms 1116 KB Output is correct
49 Correct 8 ms 1884 KB Output is correct
50 Correct 77 ms 6880 KB Output is correct
51 Correct 5 ms 1112 KB Output is correct
52 Correct 67 ms 5336 KB Output is correct
53 Correct 8 ms 1640 KB Output is correct
54 Correct 67 ms 5984 KB Output is correct
55 Correct 5 ms 1372 KB Output is correct
56 Correct 5 ms 1632 KB Output is correct
57 Correct 4 ms 1372 KB Output is correct
58 Correct 4 ms 1372 KB Output is correct
59 Correct 3 ms 1372 KB Output is correct
60 Correct 53 ms 3664 KB Output is correct
61 Correct 5 ms 1116 KB Output is correct
62 Correct 70 ms 6256 KB Output is correct
63 Correct 460 ms 64280 KB Output is correct
64 Correct 448 ms 63816 KB Output is correct
65 Correct 492 ms 64096 KB Output is correct
66 Correct 162 ms 31056 KB Output is correct
67 Correct 331 ms 58048 KB Output is correct
68 Correct 184 ms 31056 KB Output is correct
69 Correct 307 ms 32288 KB Output is correct
70 Correct 172 ms 31060 KB Output is correct
71 Correct 170 ms 31056 KB Output is correct
72 Correct 336 ms 42064 KB Output is correct
73 Correct 348 ms 43604 KB Output is correct
74 Correct 842 ms 64528 KB Output is correct
75 Correct 461 ms 41244 KB Output is correct
76 Correct 625 ms 53096 KB Output is correct
77 Correct 633 ms 53444 KB Output is correct
78 Correct 216 ms 36948 KB Output is correct
79 Correct 339 ms 41380 KB Output is correct
80 Correct 181 ms 35672 KB Output is correct
81 Correct 276 ms 39516 KB Output is correct
82 Correct 748 ms 54268 KB Output is correct
83 Correct 758 ms 54252 KB Output is correct
84 Correct 617 ms 52624 KB Output is correct
85 Correct 544 ms 52744 KB Output is correct
86 Correct 288 ms 66144 KB Output is correct
87 Correct 289 ms 68344 KB Output is correct
88 Correct 387 ms 45300 KB Output is correct
89 Correct 719 ms 51168 KB Output is correct