Submission #828788

# Submission time Handle Problem Language Result Execution time Memory
828788 2023-08-17T16:12:18 Z fatemetmhr Keys (IOI21_keys) C++17
100 / 100
1712 ms 216760 KB
// Be Name Khoda //

//#pragma GCC optimize ("O3")
//#pragma GCC target("avx2")
//#pragma GCC optimize("unroll-loops,O3")

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

#define debug(x)  cerr << "(" << (#x) << "): " << (x) << endl;
#define all(x)    x.begin(), x.end()
#define MAX(x, y) ((x) > (y) ? (x) : (y))
#define MIN(x, y) ((x) < (y) ? (x) : (y))
#define fi        first
#define se        second
#define pb        push_back
#define mp        make_pair

const int maxn5 = 3e5 + 10;

set <int> key[maxn5];
set <pair<int, int>> ed[maxn5];
vector <int> edge[maxn5], av[maxn5];
vector <pair<int, int>> adj[maxn5];
int cmp[maxn5], r[maxn5], mark[maxn5];
bool bad[maxn5];

int merge(int a, int b){
	if(av[a].size() < av[b].size())
		swap(a, b);
	//cout << "here merging " << a << ' ' << b << endl;
	for(auto u : av[b]){
		cmp[u] = a;
		av[a].pb(u);
		key[r[u]].insert(a);
		for(auto it = ed[r[u]].lower_bound(mp(a, -1)); it != ed[r[u]].end() && (it -> fi) == a;){
			auto itt = it;
			it++;
			edge[a].pb(itt -> se);
			ed[r[u]].erase(itt);
		}
		for(auto [v, c] : adj[u]){
			if(key[c].find(a) != key[c].end())
				edge[a].pb(v);
			else
				ed[c].insert({a, v});
		}
	}
	av[b].clear();
	av[b].shrink_to_fit();
	return a;
}

bool dfs(int v){
	mark[v] = 1;
	//debug(v);
	while(edge[v].size()){
		int u = edge[v].back();
		u = cmp[u];
		//cout << "here is " << v << ' ' << u << ' ' << mark[u] << endl;
		edge[v].pop_back();
		if(u == v)
			continue;
		if(mark[u] == 0){
			if(dfs(u)){
				v = merge(v, cmp[u]);
				mark[v] = 1;
			}
			else{
				bad[v] = true;
				mark[v] = 2;
				return false;
			}
		}
		else if(mark[u] == 1){
			edge[v].pb(u);
			return true;
		}
		else{
			bad[v] = true;
			mark[v] = 2;
			return false;
		}
	}
	mark[v] = 2;
	return false;
}


std::vector<int> find_reachable(std::vector<int> R, std::vector<int> u, std::vector<int> v, std::vector<int> c) {
	
	int n = R.size();
	for(int i = 0; i < n; i++){
		r[i] = R[i];
		key[r[i]].insert(i);
		cmp[i] = i;
		av[i].pb(i);
	}
	for(int i = 0; i < int(u.size()); i++){
		adj[u[i]].pb({v[i], c[i]});
		adj[v[i]].pb({u[i], c[i]});
		if(r[u[i]] == c[i])
			edge[u[i]].pb(v[i]);
		if(r[v[i]] == c[i])
			edge[v[i]].pb(u[i]);
		ed[c[i]].insert({v[i], u[i]});
		ed[c[i]].insert({u[i], v[i]});
	}
	for(int i = 0; i < n; i++)
		adj[i].shrink_to_fit();

	for(int i = 0; i < n; i++) if(!mark[i])
		dfs(i);
	int mn = n;
	vector <int> good;
	for(int i = 0; i < n; i++) if(cmp[i] == i && !bad[i]){
		//cout << "ha " << i << ' ' << av[i].size() << endl;
		if(int(av[i].size()) < mn){
			good.clear();
			good = av[i];
			mn = av[i].size();
		}
		else if(int(av[i].size()) == mn)
			for(auto u : av[i])
				good.pb(u);
	}

	vector <int> ret;
	ret.resize(n);
	fill(all(ret), 0);
	for(auto u : good)
		ret[u] = true;
	return ret;

}
# Verdict Execution time Memory Grader output
1 Correct 21 ms 49600 KB Output is correct
2 Correct 21 ms 49632 KB Output is correct
3 Correct 21 ms 49576 KB Output is correct
4 Correct 21 ms 49620 KB Output is correct
5 Correct 21 ms 49568 KB Output is correct
6 Correct 21 ms 49620 KB Output is correct
7 Correct 21 ms 49644 KB Output is correct
8 Correct 21 ms 49620 KB Output is correct
9 Correct 21 ms 49680 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 49600 KB Output is correct
2 Correct 21 ms 49632 KB Output is correct
3 Correct 21 ms 49576 KB Output is correct
4 Correct 21 ms 49620 KB Output is correct
5 Correct 21 ms 49568 KB Output is correct
6 Correct 21 ms 49620 KB Output is correct
7 Correct 21 ms 49644 KB Output is correct
8 Correct 21 ms 49620 KB Output is correct
9 Correct 21 ms 49680 KB Output is correct
10 Correct 21 ms 49620 KB Output is correct
11 Correct 23 ms 49692 KB Output is correct
12 Correct 20 ms 49612 KB Output is correct
13 Correct 21 ms 49540 KB Output is correct
14 Correct 21 ms 49524 KB Output is correct
15 Correct 21 ms 49620 KB Output is correct
16 Correct 22 ms 49620 KB Output is correct
17 Correct 21 ms 49640 KB Output is correct
18 Correct 21 ms 49636 KB Output is correct
19 Correct 21 ms 49576 KB Output is correct
20 Correct 25 ms 49620 KB Output is correct
21 Correct 21 ms 49632 KB Output is correct
22 Correct 21 ms 49588 KB Output is correct
23 Correct 21 ms 49604 KB Output is correct
24 Correct 24 ms 49648 KB Output is correct
25 Correct 21 ms 49624 KB Output is correct
26 Correct 21 ms 49688 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 49600 KB Output is correct
2 Correct 21 ms 49632 KB Output is correct
3 Correct 21 ms 49576 KB Output is correct
4 Correct 21 ms 49620 KB Output is correct
5 Correct 21 ms 49568 KB Output is correct
6 Correct 21 ms 49620 KB Output is correct
7 Correct 21 ms 49644 KB Output is correct
8 Correct 21 ms 49620 KB Output is correct
9 Correct 21 ms 49680 KB Output is correct
10 Correct 21 ms 49620 KB Output is correct
11 Correct 23 ms 49692 KB Output is correct
12 Correct 20 ms 49612 KB Output is correct
13 Correct 21 ms 49540 KB Output is correct
14 Correct 21 ms 49524 KB Output is correct
15 Correct 21 ms 49620 KB Output is correct
16 Correct 22 ms 49620 KB Output is correct
17 Correct 21 ms 49640 KB Output is correct
18 Correct 21 ms 49636 KB Output is correct
19 Correct 21 ms 49576 KB Output is correct
20 Correct 25 ms 49620 KB Output is correct
21 Correct 21 ms 49632 KB Output is correct
22 Correct 21 ms 49588 KB Output is correct
23 Correct 21 ms 49604 KB Output is correct
24 Correct 24 ms 49648 KB Output is correct
25 Correct 21 ms 49624 KB Output is correct
26 Correct 21 ms 49688 KB Output is correct
27 Correct 23 ms 50196 KB Output is correct
28 Correct 23 ms 50220 KB Output is correct
29 Correct 22 ms 50208 KB Output is correct
30 Correct 20 ms 49960 KB Output is correct
31 Correct 23 ms 49880 KB Output is correct
32 Correct 21 ms 49748 KB Output is correct
33 Correct 22 ms 49896 KB Output is correct
34 Correct 22 ms 50028 KB Output is correct
35 Correct 27 ms 49928 KB Output is correct
36 Correct 23 ms 50260 KB Output is correct
37 Correct 25 ms 50260 KB Output is correct
38 Correct 25 ms 50336 KB Output is correct
39 Correct 23 ms 50404 KB Output is correct
40 Correct 22 ms 49916 KB Output is correct
41 Correct 23 ms 50128 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 49600 KB Output is correct
2 Correct 21 ms 49632 KB Output is correct
3 Correct 21 ms 49576 KB Output is correct
4 Correct 21 ms 49620 KB Output is correct
5 Correct 21 ms 49568 KB Output is correct
6 Correct 21 ms 49620 KB Output is correct
7 Correct 21 ms 49644 KB Output is correct
8 Correct 21 ms 49620 KB Output is correct
9 Correct 21 ms 49680 KB Output is correct
10 Correct 734 ms 117756 KB Output is correct
11 Correct 928 ms 152844 KB Output is correct
12 Correct 147 ms 68124 KB Output is correct
13 Correct 1196 ms 140208 KB Output is correct
14 Correct 378 ms 161540 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 49600 KB Output is correct
2 Correct 21 ms 49632 KB Output is correct
3 Correct 21 ms 49576 KB Output is correct
4 Correct 21 ms 49620 KB Output is correct
5 Correct 21 ms 49568 KB Output is correct
6 Correct 21 ms 49620 KB Output is correct
7 Correct 21 ms 49644 KB Output is correct
8 Correct 21 ms 49620 KB Output is correct
9 Correct 21 ms 49680 KB Output is correct
10 Correct 21 ms 49620 KB Output is correct
11 Correct 23 ms 49692 KB Output is correct
12 Correct 20 ms 49612 KB Output is correct
13 Correct 21 ms 49540 KB Output is correct
14 Correct 21 ms 49524 KB Output is correct
15 Correct 21 ms 49620 KB Output is correct
16 Correct 22 ms 49620 KB Output is correct
17 Correct 21 ms 49640 KB Output is correct
18 Correct 21 ms 49636 KB Output is correct
19 Correct 21 ms 49576 KB Output is correct
20 Correct 25 ms 49620 KB Output is correct
21 Correct 21 ms 49632 KB Output is correct
22 Correct 21 ms 49588 KB Output is correct
23 Correct 21 ms 49604 KB Output is correct
24 Correct 24 ms 49648 KB Output is correct
25 Correct 21 ms 49624 KB Output is correct
26 Correct 21 ms 49688 KB Output is correct
27 Correct 23 ms 50196 KB Output is correct
28 Correct 23 ms 50220 KB Output is correct
29 Correct 22 ms 50208 KB Output is correct
30 Correct 20 ms 49960 KB Output is correct
31 Correct 23 ms 49880 KB Output is correct
32 Correct 21 ms 49748 KB Output is correct
33 Correct 22 ms 49896 KB Output is correct
34 Correct 22 ms 50028 KB Output is correct
35 Correct 27 ms 49928 KB Output is correct
36 Correct 23 ms 50260 KB Output is correct
37 Correct 25 ms 50260 KB Output is correct
38 Correct 25 ms 50336 KB Output is correct
39 Correct 23 ms 50404 KB Output is correct
40 Correct 22 ms 49916 KB Output is correct
41 Correct 23 ms 50128 KB Output is correct
42 Correct 734 ms 117756 KB Output is correct
43 Correct 928 ms 152844 KB Output is correct
44 Correct 147 ms 68124 KB Output is correct
45 Correct 1196 ms 140208 KB Output is correct
46 Correct 378 ms 161540 KB Output is correct
47 Correct 21 ms 49620 KB Output is correct
48 Correct 23 ms 49624 KB Output is correct
49 Correct 21 ms 49648 KB Output is correct
50 Correct 520 ms 159420 KB Output is correct
51 Correct 436 ms 146764 KB Output is correct
52 Correct 341 ms 110408 KB Output is correct
53 Correct 298 ms 110360 KB Output is correct
54 Correct 302 ms 110420 KB Output is correct
55 Correct 575 ms 121776 KB Output is correct
56 Correct 560 ms 143728 KB Output is correct
57 Correct 622 ms 138272 KB Output is correct
58 Correct 416 ms 144564 KB Output is correct
59 Correct 741 ms 149488 KB Output is correct
60 Correct 561 ms 131924 KB Output is correct
61 Correct 918 ms 155364 KB Output is correct
62 Correct 1669 ms 216732 KB Output is correct
63 Correct 265 ms 134492 KB Output is correct
64 Correct 29 ms 51444 KB Output is correct
65 Correct 31 ms 51592 KB Output is correct
66 Correct 1649 ms 216760 KB Output is correct
67 Correct 48 ms 60876 KB Output is correct
68 Correct 67 ms 68284 KB Output is correct
69 Correct 723 ms 149016 KB Output is correct
70 Correct 114 ms 86760 KB Output is correct
71 Correct 309 ms 161952 KB Output is correct
72 Correct 754 ms 149048 KB Output is correct
73 Correct 1712 ms 216644 KB Output is correct