Submission #784641

# Submission time Handle Problem Language Result Execution time Memory
784641 2023-07-16T11:24:48 Z faruk Race (IOI11_race) C++17
100 / 100
474 ms 27756 KB
#include "race.h"
#include <bits/stdc++.h>

using namespace std;

typedef pair<int, int> pii;

int n, k;
vector<vector<pii> > graph;
vector<bool> marked;
vector<int> sz;
int min_len = 1e9;

int find_centroid(int curr, int par, int all) {
	for (auto &[a, w] : graph[curr])
		if (a != par and !marked[a] and sz[a] * 2 > all)
			return find_centroid(a, curr, all);
	return curr;
}

vector<int> min_length_for_siz;
void reset_mlfs(int curr, int par, int depth) {
	sz[curr] = 0;
	if (depth > k)
		return;
	min_length_for_siz[depth] = 1e9;
	sz[curr] = 1;
	for (auto &[a, w] : graph[curr])
		if (!marked[a] and a != par)
			reset_mlfs(a, curr, depth + w), sz[curr] += sz[a];
}

void update_mlfs(int curr, int par, int depth, int len) {
	if (depth > k)
		return;
	min_length_for_siz[depth] = min(min_length_for_siz[depth], len);
	for (auto &[a, w] : graph[curr])
		if (!marked[a] and a != par)
			update_mlfs(a, curr, depth + w, len + 1);
}

void update_k(int curr, int par, int depth, int len) {
	if (depth > k)
		return;
	min_len = min(min_len, len + min_length_for_siz[k-depth]);
	for (auto &[a, w] : graph[curr])
		if (!marked[a] and a != par)
			update_k(a, curr, depth + w, len + 1);
}

void dfs(int curr) {
	reset_mlfs(curr, 0, 0);
	int cent = find_centroid(curr, 0, sz[curr]);
	marked[cent] = true;
	min_length_for_siz[0] = 0;
	for (auto &[a, w] : graph[cent]) {
		if (marked[a])
			continue;
		update_k(a, cent, w, 1);
		update_mlfs(a, cent, w, 1);
	}
	reset_mlfs(cent, 0, 0);
	for (auto &[a, w] : graph[cent])
		if (!marked[a])
			dfs(a);
}

int best_path(int N, int K, int H[][2], int L[])
{
    n = N;
	k = K;
    graph.resize(n+1);
	marked.resize(n+1);
	sz.resize(n+1);
	min_len = 1e9;
	min_length_for_siz.resize(K+1, 1e9);
	for (int i = 0; i < n - 1; i++) {
		graph[H[i][0]].push_back(pair<int,int>(H[i][1], L[i]));
		graph[H[i][1]].push_back(pair<int,int>(H[i][0], L[i]));
	}
	dfs(1);
	if (min_len == 1e9)
    	return -1;
	return min_len;
}

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 308 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 308 KB Output is correct
6 Correct 1 ms 304 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 264 KB Output is correct
10 Correct 0 ms 312 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 304 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 308 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 308 KB Output is correct
6 Correct 1 ms 304 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 264 KB Output is correct
10 Correct 0 ms 312 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 304 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 308 KB Output is correct
21 Correct 1 ms 312 KB Output is correct
22 Correct 2 ms 3924 KB Output is correct
23 Correct 2 ms 3284 KB Output is correct
24 Correct 2 ms 3796 KB Output is correct
25 Correct 2 ms 3648 KB Output is correct
26 Correct 1 ms 1620 KB Output is correct
27 Correct 2 ms 3540 KB Output is correct
28 Correct 1 ms 1108 KB Output is correct
29 Correct 2 ms 1620 KB Output is correct
30 Correct 2 ms 1748 KB Output is correct
31 Correct 2 ms 2900 KB Output is correct
32 Correct 3 ms 3132 KB Output is correct
33 Correct 2 ms 3412 KB Output is correct
34 Correct 2 ms 2644 KB Output is correct
35 Correct 3 ms 3540 KB Output is correct
36 Correct 2 ms 3924 KB Output is correct
37 Correct 2 ms 3412 KB Output is correct
38 Correct 2 ms 2364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 308 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 308 KB Output is correct
6 Correct 1 ms 304 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 264 KB Output is correct
10 Correct 0 ms 312 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 304 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 125 ms 9252 KB Output is correct
20 Correct 85 ms 9164 KB Output is correct
21 Correct 118 ms 9272 KB Output is correct
22 Correct 99 ms 9240 KB Output is correct
23 Correct 39 ms 9548 KB Output is correct
24 Correct 38 ms 9460 KB Output is correct
25 Correct 74 ms 8792 KB Output is correct
26 Correct 81 ms 11868 KB Output is correct
27 Correct 136 ms 18552 KB Output is correct
28 Correct 90 ms 23588 KB Output is correct
29 Correct 126 ms 21488 KB Output is correct
30 Correct 102 ms 18552 KB Output is correct
31 Correct 110 ms 18556 KB Output is correct
32 Correct 155 ms 18660 KB Output is correct
33 Correct 121 ms 17272 KB Output is correct
34 Correct 87 ms 18248 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 308 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 308 KB Output is correct
6 Correct 1 ms 304 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 264 KB Output is correct
10 Correct 0 ms 312 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 304 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 308 KB Output is correct
21 Correct 1 ms 312 KB Output is correct
22 Correct 2 ms 3924 KB Output is correct
23 Correct 2 ms 3284 KB Output is correct
24 Correct 2 ms 3796 KB Output is correct
25 Correct 2 ms 3648 KB Output is correct
26 Correct 1 ms 1620 KB Output is correct
27 Correct 2 ms 3540 KB Output is correct
28 Correct 1 ms 1108 KB Output is correct
29 Correct 2 ms 1620 KB Output is correct
30 Correct 2 ms 1748 KB Output is correct
31 Correct 2 ms 2900 KB Output is correct
32 Correct 3 ms 3132 KB Output is correct
33 Correct 2 ms 3412 KB Output is correct
34 Correct 2 ms 2644 KB Output is correct
35 Correct 3 ms 3540 KB Output is correct
36 Correct 2 ms 3924 KB Output is correct
37 Correct 2 ms 3412 KB Output is correct
38 Correct 2 ms 2364 KB Output is correct
39 Correct 125 ms 9252 KB Output is correct
40 Correct 85 ms 9164 KB Output is correct
41 Correct 118 ms 9272 KB Output is correct
42 Correct 99 ms 9240 KB Output is correct
43 Correct 39 ms 9548 KB Output is correct
44 Correct 38 ms 9460 KB Output is correct
45 Correct 74 ms 8792 KB Output is correct
46 Correct 81 ms 11868 KB Output is correct
47 Correct 136 ms 18552 KB Output is correct
48 Correct 90 ms 23588 KB Output is correct
49 Correct 126 ms 21488 KB Output is correct
50 Correct 102 ms 18552 KB Output is correct
51 Correct 110 ms 18556 KB Output is correct
52 Correct 155 ms 18660 KB Output is correct
53 Correct 121 ms 17272 KB Output is correct
54 Correct 87 ms 18248 KB Output is correct
55 Correct 7 ms 1180 KB Output is correct
56 Correct 9 ms 1108 KB Output is correct
57 Correct 79 ms 9492 KB Output is correct
58 Correct 32 ms 9140 KB Output is correct
59 Correct 87 ms 15260 KB Output is correct
60 Correct 364 ms 27756 KB Output is correct
61 Correct 122 ms 18680 KB Output is correct
62 Correct 165 ms 22584 KB Output is correct
63 Correct 183 ms 22656 KB Output is correct
64 Correct 474 ms 20976 KB Output is correct
65 Correct 110 ms 19524 KB Output is correct
66 Correct 276 ms 21652 KB Output is correct
67 Correct 107 ms 23268 KB Output is correct
68 Correct 176 ms 23196 KB Output is correct
69 Correct 187 ms 23372 KB Output is correct
70 Correct 166 ms 22448 KB Output is correct