oj.uz

Submission #1055085

# Submission time Handle Problem Language Result Execution time Memory
1055085 2024-08-12T14:33:08 Z racsosabe Race (IOI11_race) C++14
100 / 100
 204 ms 34804 KB 
#include "race.h"
#include<bits/stdc++.h>
using namespace::std;

struct CentroidDecomposition {
	int n;
	int L;
	int T;
	vector<int> a;
	vector<int> h;
	vector<int> in;
	vector<int> sz;
	vector<int> out;
	vector<int> best;
	vector<int> depth;
	vector<bool> removed;
	vector<vector<pair<int, int>>> G;

	CentroidDecomposition(int n, int k) : 
		n(n),
		L(k),
		a(n),
		h(n),
		in(n),
		sz(n),
		out(n),
		best(k + 1, -1),
		depth(n),
		removed(n, false),
		G(n)
	{}

	void add_edge(int u, int v, int w) {
		G[u].emplace_back(v, w);
		G[v].emplace_back(u, w);
	}

	void DFS(int u, int p = -1) {
		sz[u] = 1;
		for(auto e : G[u]) {
			if(e.first == p or removed[e.first]) continue;
			DFS(e.first, u);
			sz[u] += sz[e.first];
		}
	}

	int centroid(int u, int p, int n) {
		for(auto e : G[u]) {
			if(e.first == p or removed[e.first]) continue;
			if(2 * sz[e.first] > n) return centroid(e.first, u, n);
		}
		return u;
	}

	void set_info(int u, int p = -1) {
		a[T] = u;
		in[u] = T++;
		for(auto e : G[u]) {
			int v, w;
			tie(v, w) = e;
			if(v == p or removed[v]) continue;
			depth[v] = depth[u] + 1;
			h[v] = h[u] + w;
			set_info(v, u);
		}
		out[u] = T - 1;
	}

	int compute(int u) {
		h[u] = depth[u] = T = 0;
		set_info(u);
		int res = -1;
		best[0] = 0;
		for(auto e : G[u]) {
			if(removed[e.first]) continue;
			int v, w;
			tie(v, w) = e;
			for(int i = in[v]; i <= out[v]; i++) {
				int x = a[i];
				if(h[x] > L) continue;
				if(~best[L - h[x]]) {
					int cand = best[L - h[x]] + depth[x];
					if(res == -1 or cand < res) res = cand;
				}
			}
			for(int i = in[v]; i <= out[v]; i++) {
				int x = a[i];
				if(h[x] > L) continue;
				if(best[h[x]] == -1 or best[h[x]] > depth[x]) best[h[x]] = depth[x];
			}
		}
		for(int i = in[u]; i <= out[u]; i++) {
			int x = a[i];
			if(h[x] > L) continue;
			best[h[x]] = -1;
		}
		return res;
	}

	int decompose(int rt, int p = -1) {
		DFS(rt, p);
		int c = centroid(rt, p, sz[rt]);
		int res = compute(c);
		removed[c] = true;
		for(auto e : G[c]) {
			if(removed[e.first]) continue;
			int cur = decompose(e.first, c);
			if(cur == -1) continue;
			if(res == -1 or res > cur) res = cur;
		}
		return res;
	}

	int solve() {
		return decompose(0);
	}

};

int best_path(int N, int K, int H[][2], int L[]) {
	CentroidDecomposition Solver(N, K);
	for(int i = 0; i < N - 1; i++) {
		Solver.add_edge(H[i][0], H[i][1], L[i]);
	}
	return Solver.solve();
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2488 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2488 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2488 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2488 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 2 ms 5980 KB Output is correct
23 Correct 2 ms 5468 KB Output is correct
24 Correct 2 ms 5980 KB Output is correct
25 Correct 1 ms 5724 KB Output is correct
26 Correct 1 ms 3676 KB Output is correct
27 Correct 2 ms 5724 KB Output is correct
28 Correct 1 ms 3164 KB Output is correct
29 Correct 1 ms 3676 KB Output is correct
30 Correct 1 ms 3784 KB Output is correct
31 Correct 1 ms 4956 KB Output is correct
32 Correct 2 ms 5260 KB Output is correct
33 Correct 1 ms 5468 KB Output is correct
34 Correct 1 ms 4700 KB Output is correct
35 Correct 2 ms 5724 KB Output is correct
36 Correct 1 ms 6236 KB Output is correct
37 Correct 1 ms 5468 KB Output is correct
38 Correct 1 ms 4444 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2488 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2488 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 79 ms 14428 KB Output is correct
20 Correct 79 ms 14428 KB Output is correct
21 Correct 76 ms 14408 KB Output is correct
22 Correct 65 ms 14540 KB Output is correct
23 Correct 57 ms 14684 KB Output is correct
24 Correct 38 ms 14552 KB Output is correct
25 Correct 86 ms 16000 KB Output is correct
26 Correct 53 ms 17868 KB Output is correct
27 Correct 85 ms 24524 KB Output is correct
28 Correct 186 ms 31312 KB Output is correct
29 Correct 179 ms 30804 KB Output is correct
30 Correct 93 ms 24400 KB Output is correct
31 Correct 85 ms 24540 KB Output is correct
32 Correct 109 ms 24492 KB Output is correct
33 Correct 136 ms 23120 KB Output is correct
34 Correct 136 ms 24216 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2488 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2488 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 2 ms 5980 KB Output is correct
23 Correct 2 ms 5468 KB Output is correct
24 Correct 2 ms 5980 KB Output is correct
25 Correct 1 ms 5724 KB Output is correct
26 Correct 1 ms 3676 KB Output is correct
27 Correct 2 ms 5724 KB Output is correct
28 Correct 1 ms 3164 KB Output is correct
29 Correct 1 ms 3676 KB Output is correct
30 Correct 1 ms 3784 KB Output is correct
31 Correct 1 ms 4956 KB Output is correct
32 Correct 2 ms 5260 KB Output is correct
33 Correct 1 ms 5468 KB Output is correct
34 Correct 1 ms 4700 KB Output is correct
35 Correct 2 ms 5724 KB Output is correct
36 Correct 1 ms 6236 KB Output is correct
37 Correct 1 ms 5468 KB Output is correct
38 Correct 1 ms 4444 KB Output is correct
39 Correct 79 ms 14428 KB Output is correct
40 Correct 79 ms 14428 KB Output is correct
41 Correct 76 ms 14408 KB Output is correct
42 Correct 65 ms 14540 KB Output is correct
43 Correct 57 ms 14684 KB Output is correct
44 Correct 38 ms 14552 KB Output is correct
45 Correct 86 ms 16000 KB Output is correct
46 Correct 53 ms 17868 KB Output is correct
47 Correct 85 ms 24524 KB Output is correct
48 Correct 186 ms 31312 KB Output is correct
49 Correct 179 ms 30804 KB Output is correct
50 Correct 93 ms 24400 KB Output is correct
51 Correct 85 ms 24540 KB Output is correct
52 Correct 109 ms 24492 KB Output is correct
53 Correct 136 ms 23120 KB Output is correct
54 Correct 136 ms 24216 KB Output is correct
55 Correct 6 ms 3416 KB Output is correct
56 Correct 6 ms 3280 KB Output is correct
57 Correct 44 ms 14684 KB Output is correct
58 Correct 19 ms 14288 KB Output is correct
59 Correct 52 ms 18512 KB Output is correct
60 Correct 194 ms 34804 KB Output is correct
61 Correct 100 ms 24656 KB Output is correct
62 Correct 88 ms 28492 KB Output is correct
63 Correct 117 ms 28504 KB Output is correct
64 Correct 179 ms 26712 KB Output is correct
65 Correct 152 ms 25684 KB Output is correct
66 Correct 204 ms 33612 KB Output is correct
67 Correct 59 ms 28992 KB Output is correct
68 Correct 128 ms 29068 KB Output is correct
69 Correct 125 ms 29372 KB Output is correct
70 Correct 109 ms 28288 KB Output is correct