Submission #523883

# Submission time Handle Problem Language Result Execution time Memory
523883 2022-02-08T11:08:30 Z prvocislo Keys (IOI21_keys) C++17
100 / 100
743 ms 56796 KB
// podla https://codeforces.com/blog/entry/92083?#comment-807994
#include <algorithm>
#include <iostream>
#include <string>
#include <random>
#include <chrono>
#include <vector>
#include <cmath>
#include <set>
#include <map>
#include <iomanip>
#include <queue>
#include <bitset>
#include <cmath>
#include <cassert>
typedef long long ll;
typedef long double ld;
using namespace std;

const int maxn = 3e5 + 5;
int par[maxn]; // aspon jeden z korenov tohto union-findu dava optimalnu odpoved.
int root(int u)
{
	return par[u] == u ? u : par[u] = root(par[u]);
}
void merge(int p, int v)
{
	par[root(v)] = root(p);
}
int ans = maxn; // minimalna dosiahnutelnost
vector<int> val; // hodnoty, ktore nadobudaju toto minimum
int mykey[maxn]; // moj kluc
vector<pair<int, int> > g[maxn]; // hrany
vector<int> locked[maxn]; // tie vrcholy, ku ktorym sa zatial neviem dostat
bool keys[maxn]; // keys[i] = mame kluc i?
int last[maxn]; // last[i] = posledna iteracia v ktorej sme navstivili ten vrchol i
bool out[maxn]; // out[i] = je i vrchol, z ktoreho sa uz nevieme dostat prec?
bool vis[maxn]; // vis[i] = navstiveny?
vector<int> reach; // kam sa vieme dostat?
void clear() // upraceme po bfsku
{
	for (int i : reach)
	{
		keys[mykey[i]] = 0;
		for (pair<int, int> j : g[i]) locked[j.second].clear();
	}
	reach.clear();
}
void find_better(int u, int round)
{
	queue<int> q;
	q.push(u);
	while (q.size())
	{
		int v = q.front();
		q.pop();
		if (root(v) != u) // nasli sme vrchol, ktory je aspon taky dobry ako u
		{
			merge(v, u);
			last[root(v)] = round;
			clear();
			return;
		}
		if (vis[v]) continue;
		vis[v] = true;
		reach.push_back(v);
		if (!keys[mykey[v]]) // dostali sme novy kluc
		{
			keys[mykey[v]] = true;
			for (int i : locked[mykey[v]]) q.push(i); // odomkli sa nam nove vrcholy
			locked[mykey[v]].clear();
		}
		for (pair<int, int> i : g[v]) // ideme popozerat hrany odtialto a rozsirit sa
		{
			if (keys[i.second]) q.push(i.first); // mame spravny kluc
			else locked[i.second].push_back(i.first); // nemame spravny kluc
		}
	}
	out[u] = true; // nevieme uz nikde inde ist, takze u je jeden z kandidatov na odpoved
	if (reach.size() < ans) ans = reach.size(), val.clear();
	if (reach.size() == ans) for (int i : reach) val.push_back(i);
	clear();
}
vector<int> find_reachable(vector<int> r, vector<int> u, vector<int> v, vector<int> c) 
{
	int n = r.size(), m = u.size();
	for (int i = 0; i < n; i++) mykey[i] = r[i], par[i] = i;
	for (int i = 0; i < m; i++) g[u[i]].push_back({ v[i],c[i] }), g[v[i]].push_back({ u[i], c[i] });
	for (int round = 1; ; round++)
	{
		fill(vis, vis + maxn, false);
		bool change = false;
		for (int i = 0; i < n; i++) if (i == par[i] && !out[i] && last[i] != round)
			find_better(i, round), change = true;
		if (!change) break;
	}
	vector<int> ans(n, 0);
	for (int i : val) ans[i] = 1;
	return ans;
}

Compilation message

keys.cpp: In function 'void find_better(int, int)':
keys.cpp:80:19: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   80 |  if (reach.size() < ans) ans = reach.size(), val.clear();
      |      ~~~~~~~~~~~~~^~~~~
keys.cpp:81:19: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   81 |  if (reach.size() == ans) for (int i : reach) val.push_back(i);
      |      ~~~~~~~~~~~~~^~~~~~
# Verdict Execution time Memory Grader output
1 Correct 7 ms 14668 KB Output is correct
2 Correct 7 ms 14668 KB Output is correct
3 Correct 7 ms 14668 KB Output is correct
4 Correct 7 ms 14668 KB Output is correct
5 Correct 7 ms 14668 KB Output is correct
6 Correct 7 ms 14644 KB Output is correct
7 Correct 8 ms 14624 KB Output is correct
8 Correct 8 ms 14668 KB Output is correct
9 Correct 8 ms 14632 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 14668 KB Output is correct
2 Correct 7 ms 14668 KB Output is correct
3 Correct 7 ms 14668 KB Output is correct
4 Correct 7 ms 14668 KB Output is correct
5 Correct 7 ms 14668 KB Output is correct
6 Correct 7 ms 14644 KB Output is correct
7 Correct 8 ms 14624 KB Output is correct
8 Correct 8 ms 14668 KB Output is correct
9 Correct 8 ms 14632 KB Output is correct
10 Correct 9 ms 14636 KB Output is correct
11 Correct 8 ms 14668 KB Output is correct
12 Correct 8 ms 14728 KB Output is correct
13 Correct 9 ms 14668 KB Output is correct
14 Correct 8 ms 14668 KB Output is correct
15 Correct 8 ms 14668 KB Output is correct
16 Correct 8 ms 14672 KB Output is correct
17 Correct 8 ms 14652 KB Output is correct
18 Correct 8 ms 14668 KB Output is correct
19 Correct 8 ms 14592 KB Output is correct
20 Correct 8 ms 14668 KB Output is correct
21 Correct 8 ms 14668 KB Output is correct
22 Correct 8 ms 14668 KB Output is correct
23 Correct 8 ms 14632 KB Output is correct
24 Correct 8 ms 14688 KB Output is correct
25 Correct 8 ms 14644 KB Output is correct
26 Correct 8 ms 14668 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 14668 KB Output is correct
2 Correct 7 ms 14668 KB Output is correct
3 Correct 7 ms 14668 KB Output is correct
4 Correct 7 ms 14668 KB Output is correct
5 Correct 7 ms 14668 KB Output is correct
6 Correct 7 ms 14644 KB Output is correct
7 Correct 8 ms 14624 KB Output is correct
8 Correct 8 ms 14668 KB Output is correct
9 Correct 8 ms 14632 KB Output is correct
10 Correct 9 ms 14636 KB Output is correct
11 Correct 8 ms 14668 KB Output is correct
12 Correct 8 ms 14728 KB Output is correct
13 Correct 9 ms 14668 KB Output is correct
14 Correct 8 ms 14668 KB Output is correct
15 Correct 8 ms 14668 KB Output is correct
16 Correct 8 ms 14672 KB Output is correct
17 Correct 8 ms 14652 KB Output is correct
18 Correct 8 ms 14668 KB Output is correct
19 Correct 8 ms 14592 KB Output is correct
20 Correct 8 ms 14668 KB Output is correct
21 Correct 8 ms 14668 KB Output is correct
22 Correct 8 ms 14668 KB Output is correct
23 Correct 8 ms 14632 KB Output is correct
24 Correct 8 ms 14688 KB Output is correct
25 Correct 8 ms 14644 KB Output is correct
26 Correct 8 ms 14668 KB Output is correct
27 Correct 9 ms 14944 KB Output is correct
28 Correct 11 ms 14924 KB Output is correct
29 Correct 9 ms 14908 KB Output is correct
30 Correct 11 ms 14764 KB Output is correct
31 Correct 9 ms 14804 KB Output is correct
32 Correct 8 ms 14668 KB Output is correct
33 Correct 8 ms 14672 KB Output is correct
34 Correct 9 ms 14820 KB Output is correct
35 Correct 8 ms 14800 KB Output is correct
36 Correct 9 ms 14836 KB Output is correct
37 Correct 10 ms 14924 KB Output is correct
38 Correct 10 ms 14928 KB Output is correct
39 Correct 9 ms 14920 KB Output is correct
40 Correct 9 ms 14796 KB Output is correct
41 Correct 12 ms 14796 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 14668 KB Output is correct
2 Correct 7 ms 14668 KB Output is correct
3 Correct 7 ms 14668 KB Output is correct
4 Correct 7 ms 14668 KB Output is correct
5 Correct 7 ms 14668 KB Output is correct
6 Correct 7 ms 14644 KB Output is correct
7 Correct 8 ms 14624 KB Output is correct
8 Correct 8 ms 14668 KB Output is correct
9 Correct 8 ms 14632 KB Output is correct
10 Correct 198 ms 39152 KB Output is correct
11 Correct 255 ms 48460 KB Output is correct
12 Correct 54 ms 20684 KB Output is correct
13 Correct 249 ms 43316 KB Output is correct
14 Correct 175 ms 45620 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 14668 KB Output is correct
2 Correct 7 ms 14668 KB Output is correct
3 Correct 7 ms 14668 KB Output is correct
4 Correct 7 ms 14668 KB Output is correct
5 Correct 7 ms 14668 KB Output is correct
6 Correct 7 ms 14644 KB Output is correct
7 Correct 8 ms 14624 KB Output is correct
8 Correct 8 ms 14668 KB Output is correct
9 Correct 8 ms 14632 KB Output is correct
10 Correct 9 ms 14636 KB Output is correct
11 Correct 8 ms 14668 KB Output is correct
12 Correct 8 ms 14728 KB Output is correct
13 Correct 9 ms 14668 KB Output is correct
14 Correct 8 ms 14668 KB Output is correct
15 Correct 8 ms 14668 KB Output is correct
16 Correct 8 ms 14672 KB Output is correct
17 Correct 8 ms 14652 KB Output is correct
18 Correct 8 ms 14668 KB Output is correct
19 Correct 8 ms 14592 KB Output is correct
20 Correct 8 ms 14668 KB Output is correct
21 Correct 8 ms 14668 KB Output is correct
22 Correct 8 ms 14668 KB Output is correct
23 Correct 8 ms 14632 KB Output is correct
24 Correct 8 ms 14688 KB Output is correct
25 Correct 8 ms 14644 KB Output is correct
26 Correct 8 ms 14668 KB Output is correct
27 Correct 9 ms 14944 KB Output is correct
28 Correct 11 ms 14924 KB Output is correct
29 Correct 9 ms 14908 KB Output is correct
30 Correct 11 ms 14764 KB Output is correct
31 Correct 9 ms 14804 KB Output is correct
32 Correct 8 ms 14668 KB Output is correct
33 Correct 8 ms 14672 KB Output is correct
34 Correct 9 ms 14820 KB Output is correct
35 Correct 8 ms 14800 KB Output is correct
36 Correct 9 ms 14836 KB Output is correct
37 Correct 10 ms 14924 KB Output is correct
38 Correct 10 ms 14928 KB Output is correct
39 Correct 9 ms 14920 KB Output is correct
40 Correct 9 ms 14796 KB Output is correct
41 Correct 12 ms 14796 KB Output is correct
42 Correct 198 ms 39152 KB Output is correct
43 Correct 255 ms 48460 KB Output is correct
44 Correct 54 ms 20684 KB Output is correct
45 Correct 249 ms 43316 KB Output is correct
46 Correct 175 ms 45620 KB Output is correct
47 Correct 7 ms 14668 KB Output is correct
48 Correct 7 ms 14668 KB Output is correct
49 Correct 7 ms 14656 KB Output is correct
50 Correct 164 ms 45872 KB Output is correct
51 Correct 207 ms 47412 KB Output is correct
52 Correct 238 ms 44220 KB Output is correct
53 Correct 236 ms 44012 KB Output is correct
54 Correct 231 ms 44096 KB Output is correct
55 Correct 279 ms 41328 KB Output is correct
56 Correct 332 ms 52984 KB Output is correct
57 Correct 274 ms 49896 KB Output is correct
58 Correct 291 ms 56796 KB Output is correct
59 Correct 442 ms 51092 KB Output is correct
60 Correct 301 ms 48580 KB Output is correct
61 Correct 359 ms 50648 KB Output is correct
62 Correct 743 ms 45968 KB Output is correct
63 Correct 167 ms 46176 KB Output is correct
64 Correct 12 ms 15184 KB Output is correct
65 Correct 10 ms 15180 KB Output is correct
66 Correct 692 ms 45880 KB Output is correct
67 Correct 24 ms 17860 KB Output is correct
68 Correct 37 ms 20036 KB Output is correct
69 Correct 424 ms 51216 KB Output is correct
70 Correct 59 ms 25316 KB Output is correct
71 Correct 204 ms 47216 KB Output is correct
72 Correct 387 ms 51004 KB Output is correct
73 Correct 658 ms 45876 KB Output is correct