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Submission #403927

# Submission time Handle Problem Language Result Execution time Memory
403927 2021-05-13T15:14:28 Z LucaDantas Toy Train (IOI17_train) C++17
100 / 100
 1400 ms 2884 KB 
#include "train.h"
#include <bits/stdc++.h>
using namespace std;

#define pb push_back
#define all(a) (a).begin(), (a).end()
#define sz(a) (int)(a.size())

constexpr int maxn = 5010;

int a[maxn], ligado[maxn], comp[maxn], brabo[maxn], grau[maxn], atv[maxn], cor[maxn];
int n, m, t;

bool mark[maxn];

vector<int> g[maxn], g_rev[maxn], meus[maxn], g_comp[maxn], g_rev_comp[maxn], ord;

void dfs(int u) {
	mark[u] = 1;
	for(int v : g[u])
		if(a[v] && !mark[v]) dfs(v);
	ord.pb(u);
}

void go(int u, int& ok) {
	ok |= ligado[u]<<1;
	comp[u] = t;
	meus[t].pb(u);
	for(int v : g_rev[u]) {
		if(!comp[v] && a[v]) go(v, ok);
		else if(comp[v] == comp[u] && a[v]) ok |= 1;
	}
}

void limpar(int u) {
	brabo[u] = 1, mark[u] = 1;
	for(int v : g_rev_comp[u])
		if(!mark[v] && !cor[v]) limpar(v);
}

vector<int> who_wins(vector<int> A, vector<int> R, vector<int> U, vector<int> V) {
	n = (int)(A.size()), m = (int)(U.size());
	
	for(int i = 0; i < n; i++)
		a[i] = A[i], ligado[i] = R[i];
	
	for(int i = 0; i < m; i++)
		g[U[i]].pb(V[i]), g_rev[V[i]].pb(U[i]);
	
	for(int i = 0; i < n; i++)
		if(a[i] && !mark[i]) dfs(i);
	
	reverse(all(ord));
	for(int i = 0; i < sz(ord); i++) {
		if(comp[ord[i]]) continue;
		int ok = 0; ++t;
		go(ord[i], ok);
		if(ok == 3) brabo[t] = 1;
		if(ok&2) atv[t] = 1;
	}

	for(int i = 0; i < n; i++)
		if(!a[i]) comp[i] = ++t, cor[t] = 1, atv[t] = R[i], meus[t] = {i};

	memset(mark, 0, sizeof mark);
	for(int i = 1; i <= t; i++) {
		for(int u : meus[i])
			for(int v : g[u])
				if(!mark[comp[v]])
					mark[comp[v]] = 1, g_comp[i].pb(comp[v]), g_rev_comp[comp[v]].pb(i);
		for(int x : g_comp[i])
			mark[x] = 0;
	}

	memset(mark, 0, sizeof mark);
	for(int i = 1; i <= t; i++)
		if(brabo[i] && !mark[i]) limpar(i);

	for(int rep = 0; rep < n; rep++) {
		vector<int> fontes;

		memset(mark, 0, sizeof mark);
		for(int i = 1; i <= t; i++)
			if(atv[i]) mark[i] = 1, fontes.pb(i);

		for(int i = 1; i <= t; i++)
			grau[i] = sz(g_comp[i]);
		
		while(fontes.size()) {
			int u = fontes.back(); fontes.pop_back();
			for(int v : g_rev_comp[u]) {
				if(mark[v]) continue;
				--grau[v];
				if(!grau[v] || !cor[v]) fontes.pb(v), mark[v] = 1;
			}
		}

		for(int i = 1; i <= t; i++) {
			grau[i] = sz(g_comp[i]);
			if(!mark[i] && !brabo[i]) fontes.pb(i);
		}

		memset(mark, 0, sizeof mark);

		for(int x : fontes)
			mark[x] = 1;

		while(fontes.size()) {
			int u = fontes.back(); fontes.pop_back();
			for(int v : g_rev_comp[u]) {
				if(mark[v]) continue;
				--grau[v];
				if((!grau[v] && !brabo[v]) || cor[v]) fontes.pb(v), mark[v] = 1;
			}
		}

		for(int i = 1; i <= t; i++)
			atv[i] &= !mark[i];
	}

	vector<int> ans(n);

	for(int i = 0; i < n; i++)
		ans[i] = !mark[comp[i]];

	return ans;	
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 649 ms 2092 KB Output is correct
2 Correct 694 ms 2096 KB Output is correct
3 Correct 684 ms 2092 KB Output is correct
4 Correct 640 ms 2088 KB Output is correct
5 Correct 651 ms 2088 KB Output is correct
6 Correct 653 ms 2080 KB Output is correct
7 Correct 564 ms 1996 KB Output is correct
8 Correct 617 ms 2124 KB Output is correct
9 Correct 685 ms 2056 KB Output is correct
10 Correct 659 ms 2116 KB Output is correct
11 Correct 472 ms 2068 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 844 KB Output is correct
2 Correct 1 ms 844 KB Output is correct
3 Correct 1 ms 932 KB Output is correct
4 Correct 1 ms 844 KB Output is correct
5 Correct 1 ms 844 KB Output is correct
6 Correct 1 ms 844 KB Output is correct
7 Correct 1 ms 844 KB Output is correct
8 Correct 1 ms 844 KB Output is correct
9 Correct 1 ms 844 KB Output is correct
10 Correct 1 ms 896 KB Output is correct
11 Correct 1 ms 844 KB Output is correct
12 Correct 1 ms 844 KB Output is correct
13 Correct 1 ms 844 KB Output is correct
14 Correct 1 ms 844 KB Output is correct
15 Correct 1 ms 844 KB Output is correct
16 Correct 1 ms 844 KB Output is correct
17 Correct 1 ms 844 KB Output is correct
18 Correct 2 ms 844 KB Output is correct
19 Correct 1 ms 844 KB Output is correct
20 Correct 1 ms 844 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 439 ms 2884 KB Output is correct
2 Correct 394 ms 2764 KB Output is correct
3 Correct 388 ms 2712 KB Output is correct
4 Correct 42 ms 2124 KB Output is correct
5 Correct 133 ms 2204 KB Output is correct
6 Correct 145 ms 2148 KB Output is correct
7 Correct 82 ms 2104 KB Output is correct
8 Correct 20 ms 2060 KB Output is correct
9 Correct 24 ms 2032 KB Output is correct
10 Correct 62 ms 2008 KB Output is correct
11 Correct 171 ms 2060 KB Output is correct
12 Correct 641 ms 2508 KB Output is correct
13 Correct 21 ms 2124 KB Output is correct
14 Correct 25 ms 2252 KB Output is correct
15 Correct 26 ms 2272 KB Output is correct
16 Correct 28 ms 2176 KB Output is correct
17 Correct 26 ms 2256 KB Output is correct
18 Correct 439 ms 2392 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 779 ms 2332 KB Output is correct
2 Correct 1241 ms 2380 KB Output is correct
3 Correct 727 ms 2560 KB Output is correct
4 Correct 699 ms 2584 KB Output is correct
5 Correct 1122 ms 2612 KB Output is correct
6 Correct 1276 ms 2568 KB Output is correct
7 Correct 1287 ms 2572 KB Output is correct
8 Correct 729 ms 2560 KB Output is correct
9 Correct 1070 ms 2480 KB Output is correct
10 Correct 1203 ms 2636 KB Output is correct
11 Correct 918 ms 2572 KB Output is correct
12 Correct 1250 ms 2520 KB Output is correct
13 Correct 1182 ms 2536 KB Output is correct
14 Correct 1296 ms 2420 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1400 ms 2532 KB Output is correct
2 Correct 181 ms 2252 KB Output is correct
3 Correct 961 ms 2420 KB Output is correct
4 Correct 708 ms 2276 KB Output is correct
5 Correct 3 ms 972 KB Output is correct
6 Correct 530 ms 1916 KB Output is correct
7 Correct 14 ms 1612 KB Output is correct
8 Correct 13 ms 1648 KB Output is correct
9 Correct 14 ms 1668 KB Output is correct
10 Correct 3 ms 1100 KB Output is correct
11 Correct 27 ms 1612 KB Output is correct

Subtask #6
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 649 ms 2092 KB Output is correct
2 Correct 694 ms 2096 KB Output is correct
3 Correct 684 ms 2092 KB Output is correct
4 Correct 640 ms 2088 KB Output is correct
5 Correct 651 ms 2088 KB Output is correct
6 Correct 653 ms 2080 KB Output is correct
7 Correct 564 ms 1996 KB Output is correct
8 Correct 617 ms 2124 KB Output is correct
9 Correct 685 ms 2056 KB Output is correct
10 Correct 659 ms 2116 KB Output is correct
11 Correct 472 ms 2068 KB Output is correct
12 Correct 2 ms 844 KB Output is correct
13 Correct 1 ms 844 KB Output is correct
14 Correct 1 ms 932 KB Output is correct
15 Correct 1 ms 844 KB Output is correct
16 Correct 1 ms 844 KB Output is correct
17 Correct 1 ms 844 KB Output is correct
18 Correct 1 ms 844 KB Output is correct
19 Correct 1 ms 844 KB Output is correct
20 Correct 1 ms 844 KB Output is correct
21 Correct 1 ms 896 KB Output is correct
22 Correct 1 ms 844 KB Output is correct
23 Correct 1 ms 844 KB Output is correct
24 Correct 1 ms 844 KB Output is correct
25 Correct 1 ms 844 KB Output is correct
26 Correct 1 ms 844 KB Output is correct
27 Correct 1 ms 844 KB Output is correct
28 Correct 1 ms 844 KB Output is correct
29 Correct 2 ms 844 KB Output is correct
30 Correct 1 ms 844 KB Output is correct
31 Correct 1 ms 844 KB Output is correct
32 Correct 439 ms 2884 KB Output is correct
33 Correct 394 ms 2764 KB Output is correct
34 Correct 388 ms 2712 KB Output is correct
35 Correct 42 ms 2124 KB Output is correct
36 Correct 133 ms 2204 KB Output is correct
37 Correct 145 ms 2148 KB Output is correct
38 Correct 82 ms 2104 KB Output is correct
39 Correct 20 ms 2060 KB Output is correct
40 Correct 24 ms 2032 KB Output is correct
41 Correct 62 ms 2008 KB Output is correct
42 Correct 171 ms 2060 KB Output is correct
43 Correct 641 ms 2508 KB Output is correct
44 Correct 21 ms 2124 KB Output is correct
45 Correct 25 ms 2252 KB Output is correct
46 Correct 26 ms 2272 KB Output is correct
47 Correct 28 ms 2176 KB Output is correct
48 Correct 26 ms 2256 KB Output is correct
49 Correct 439 ms 2392 KB Output is correct
50 Correct 779 ms 2332 KB Output is correct
51 Correct 1241 ms 2380 KB Output is correct
52 Correct 727 ms 2560 KB Output is correct
53 Correct 699 ms 2584 KB Output is correct
54 Correct 1122 ms 2612 KB Output is correct
55 Correct 1276 ms 2568 KB Output is correct
56 Correct 1287 ms 2572 KB Output is correct
57 Correct 729 ms 2560 KB Output is correct
58 Correct 1070 ms 2480 KB Output is correct
59 Correct 1203 ms 2636 KB Output is correct
60 Correct 918 ms 2572 KB Output is correct
61 Correct 1250 ms 2520 KB Output is correct
62 Correct 1182 ms 2536 KB Output is correct
63 Correct 1296 ms 2420 KB Output is correct
64 Correct 1400 ms 2532 KB Output is correct
65 Correct 181 ms 2252 KB Output is correct
66 Correct 961 ms 2420 KB Output is correct
67 Correct 708 ms 2276 KB Output is correct
68 Correct 3 ms 972 KB Output is correct
69 Correct 530 ms 1916 KB Output is correct
70 Correct 14 ms 1612 KB Output is correct
71 Correct 13 ms 1648 KB Output is correct
72 Correct 14 ms 1668 KB Output is correct
73 Correct 3 ms 1100 KB Output is correct
74 Correct 27 ms 1612 KB Output is correct
75 Correct 425 ms 2584 KB Output is correct
76 Correct 512 ms 2616 KB Output is correct
77 Correct 472 ms 2508 KB Output is correct
78 Correct 443 ms 2528 KB Output is correct
79 Correct 454 ms 2628 KB Output is correct
80 Correct 921 ms 2396 KB Output is correct
81 Correct 817 ms 2464 KB Output is correct
82 Correct 1321 ms 2540 KB Output is correct
83 Correct 198 ms 2232 KB Output is correct
84 Correct 218 ms 2312 KB Output is correct
85 Correct 695 ms 2556 KB Output is correct
86 Correct 185 ms 2124 KB Output is correct
87 Correct 679 ms 2552 KB Output is correct
88 Correct 782 ms 2512 KB Output is correct
89 Correct 1179 ms 2548 KB Output is correct
90 Correct 647 ms 2540 KB Output is correct
91 Correct 366 ms 2252 KB Output is correct
92 Correct 451 ms 2324 KB Output is correct
93 Correct 976 ms 2548 KB Output is correct
94 Correct 772 ms 2504 KB Output is correct
95 Correct 947 ms 2488 KB Output is correct
96 Correct 1349 ms 2424 KB Output is correct
97 Correct 671 ms 2588 KB Output is correct
98 Correct 869 ms 2472 KB Output is correct
99 Correct 850 ms 2524 KB Output is correct
100 Correct 429 ms 2252 KB Output is correct