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Submission #351169

# Submission time Handle Problem Language Result Execution time Memory
351169 2021-01-19T13:29:17 Z Kenzo_1114 Race (IOI11_race) C++17
100 / 100
 951 ms 45676 KB 
#include<bits/stdc++.h>
#include "race.h"
using namespace std;
const int MAXN = 200010;
const int MAXK = 1000010;

int n, k, n_cur, sub[MAXN], best[MAXK], ans = MAXK;
vector<int> graph[MAXN], cost[MAXN];
bool marc[MAXN];

void find_sub(int v, int p)
{
	sub[v] = 1;
	for(int i = 0; i < (int) graph[v].size(); i++)
	{
		int u = graph[v][i];
		if(u == p || marc[u])	continue;
		find_sub(u, v), sub[v] += sub[u];	
	}
}

int find_centroid(int v, int p)
{
	for(int i = 0; i < (int) graph[v].size(); i++)
	{
		int u = graph[v][i];
		if(u == p || marc[u])	continue;
		if(2 * sub[u] >= n_cur)	return find_centroid(u, v);
	}

	return v;
}

void dfs(int v, int p, int dist, int depth, bool flag)
{	
	if(k < dist)	return;

	if(flag)	
	{
		if(best[dist] == 0)	best[dist] = depth;
		else	best[dist] = min(best[dist], depth);	
	}
	else		best[dist] = 0;

	for(int i = 0; i < (int) graph[v].size(); i++)
	{
		int u = graph[v][i];
		int c = cost[v][i];

		if(u != p && !marc[u])	dfs(u, v, dist + c, depth + 1, flag);
	}
}

void dfs2(int v, int p, int dist, int depth)
{
	if(k < dist)	return;

	if(best[k - dist])	ans = min(ans, best[k - dist] + depth);
	if(dist == k)	ans = min(ans, depth);

	for(int i = 0; i < (int) graph[v].size(); i++)
	{
		int u = graph[v][i];
		int c = cost[v][i];

		if(u != p && !marc[u]) dfs2(u, v, dist + c, depth + 1);
	}
}

void decompose(int v, int p)
{
	find_sub(v, p);
	n_cur = sub[v];
	int c = find_centroid(v, p);

//	printf("\nc = %d\n", c - 1);
	marc[c] = true;

	for(int i = 0; i < (int) graph[c].size(); i++)
	{
		int u = graph[c][i];

		if(u == p || marc[u])	continue;

		dfs2(u, c, cost[c][i], 1);
		dfs(u, c, cost[c][i], 1, true);
	}

//	for(int i = 0; i <= k; i++)	printf("best[%d] = %d\n", i, best[i]);

	dfs(c, c, 0, 0, false);

	for(int i = 0; i < (int) graph[c].size(); i++)
	{
		int u = graph[c][i];
		if(!marc[u])	decompose(u, c);
	}
}

int best_path(int N, int K, int h[][2], int l[])
{
	n = N, k = K;
	for(int i = 0; i < n - 1; i++)
	{
		int u = h[i][0] + 1;
		int v = h[i][1] + 1;
		int w = l[i];

		graph[u].push_back(v);
		graph[v].push_back(u);
		cost[u].push_back(w);
		cost[v].push_back(w);
	}

	decompose(1, 1);

	return (ans == MAXK) ? -1 : ans;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9708 KB Output is correct
2 Correct 7 ms 9708 KB Output is correct
3 Correct 7 ms 9708 KB Output is correct
4 Correct 7 ms 9708 KB Output is correct
5 Correct 7 ms 9708 KB Output is correct
6 Correct 6 ms 9708 KB Output is correct
7 Correct 7 ms 9708 KB Output is correct
8 Correct 6 ms 9836 KB Output is correct
9 Correct 7 ms 9708 KB Output is correct
10 Correct 7 ms 9708 KB Output is correct
11 Correct 7 ms 9836 KB Output is correct
12 Correct 7 ms 9784 KB Output is correct
13 Correct 8 ms 9708 KB Output is correct
14 Correct 7 ms 9836 KB Output is correct
15 Correct 8 ms 9708 KB Output is correct
16 Correct 6 ms 9708 KB Output is correct
17 Correct 6 ms 9708 KB Output is correct
18 Correct 6 ms 9708 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9708 KB Output is correct
2 Correct 7 ms 9708 KB Output is correct
3 Correct 7 ms 9708 KB Output is correct
4 Correct 7 ms 9708 KB Output is correct
5 Correct 7 ms 9708 KB Output is correct
6 Correct 6 ms 9708 KB Output is correct
7 Correct 7 ms 9708 KB Output is correct
8 Correct 6 ms 9836 KB Output is correct
9 Correct 7 ms 9708 KB Output is correct
10 Correct 7 ms 9708 KB Output is correct
11 Correct 7 ms 9836 KB Output is correct
12 Correct 7 ms 9784 KB Output is correct
13 Correct 8 ms 9708 KB Output is correct
14 Correct 7 ms 9836 KB Output is correct
15 Correct 8 ms 9708 KB Output is correct
16 Correct 6 ms 9708 KB Output is correct
17 Correct 6 ms 9708 KB Output is correct
18 Correct 6 ms 9708 KB Output is correct
19 Correct 6 ms 9708 KB Output is correct
20 Correct 6 ms 9708 KB Output is correct
21 Correct 8 ms 9836 KB Output is correct
22 Correct 10 ms 12268 KB Output is correct
23 Correct 9 ms 12012 KB Output is correct
24 Correct 9 ms 12780 KB Output is correct
25 Correct 9 ms 11628 KB Output is correct
26 Correct 8 ms 11116 KB Output is correct
27 Correct 7 ms 9836 KB Output is correct
28 Correct 9 ms 10604 KB Output is correct
29 Correct 8 ms 11116 KB Output is correct
30 Correct 9 ms 11244 KB Output is correct
31 Correct 9 ms 11628 KB Output is correct
32 Correct 10 ms 11756 KB Output is correct
33 Correct 11 ms 12524 KB Output is correct
34 Correct 9 ms 12140 KB Output is correct
35 Correct 10 ms 12780 KB Output is correct
36 Correct 12 ms 13056 KB Output is correct
37 Correct 9 ms 11756 KB Output is correct
38 Correct 8 ms 10988 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9708 KB Output is correct
2 Correct 7 ms 9708 KB Output is correct
3 Correct 7 ms 9708 KB Output is correct
4 Correct 7 ms 9708 KB Output is correct
5 Correct 7 ms 9708 KB Output is correct
6 Correct 6 ms 9708 KB Output is correct
7 Correct 7 ms 9708 KB Output is correct
8 Correct 6 ms 9836 KB Output is correct
9 Correct 7 ms 9708 KB Output is correct
10 Correct 7 ms 9708 KB Output is correct
11 Correct 7 ms 9836 KB Output is correct
12 Correct 7 ms 9784 KB Output is correct
13 Correct 8 ms 9708 KB Output is correct
14 Correct 7 ms 9836 KB Output is correct
15 Correct 8 ms 9708 KB Output is correct
16 Correct 6 ms 9708 KB Output is correct
17 Correct 6 ms 9708 KB Output is correct
18 Correct 6 ms 9708 KB Output is correct
19 Correct 251 ms 19180 KB Output is correct
20 Correct 240 ms 19180 KB Output is correct
21 Correct 291 ms 19308 KB Output is correct
22 Correct 278 ms 19308 KB Output is correct
23 Correct 154 ms 19052 KB Output is correct
24 Correct 115 ms 19564 KB Output is correct
25 Correct 210 ms 23148 KB Output is correct
26 Correct 137 ms 26988 KB Output is correct
27 Correct 329 ms 29804 KB Output is correct
28 Correct 405 ms 44268 KB Output is correct
29 Correct 416 ms 43136 KB Output is correct
30 Correct 343 ms 29676 KB Output is correct
31 Correct 326 ms 29924 KB Output is correct
32 Correct 394 ms 29804 KB Output is correct
33 Correct 402 ms 28652 KB Output is correct
34 Correct 333 ms 29548 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9708 KB Output is correct
2 Correct 7 ms 9708 KB Output is correct
3 Correct 7 ms 9708 KB Output is correct
4 Correct 7 ms 9708 KB Output is correct
5 Correct 7 ms 9708 KB Output is correct
6 Correct 6 ms 9708 KB Output is correct
7 Correct 7 ms 9708 KB Output is correct
8 Correct 6 ms 9836 KB Output is correct
9 Correct 7 ms 9708 KB Output is correct
10 Correct 7 ms 9708 KB Output is correct
11 Correct 7 ms 9836 KB Output is correct
12 Correct 7 ms 9784 KB Output is correct
13 Correct 8 ms 9708 KB Output is correct
14 Correct 7 ms 9836 KB Output is correct
15 Correct 8 ms 9708 KB Output is correct
16 Correct 6 ms 9708 KB Output is correct
17 Correct 6 ms 9708 KB Output is correct
18 Correct 6 ms 9708 KB Output is correct
19 Correct 6 ms 9708 KB Output is correct
20 Correct 6 ms 9708 KB Output is correct
21 Correct 8 ms 9836 KB Output is correct
22 Correct 10 ms 12268 KB Output is correct
23 Correct 9 ms 12012 KB Output is correct
24 Correct 9 ms 12780 KB Output is correct
25 Correct 9 ms 11628 KB Output is correct
26 Correct 8 ms 11116 KB Output is correct
27 Correct 7 ms 9836 KB Output is correct
28 Correct 9 ms 10604 KB Output is correct
29 Correct 8 ms 11116 KB Output is correct
30 Correct 9 ms 11244 KB Output is correct
31 Correct 9 ms 11628 KB Output is correct
32 Correct 10 ms 11756 KB Output is correct
33 Correct 11 ms 12524 KB Output is correct
34 Correct 9 ms 12140 KB Output is correct
35 Correct 10 ms 12780 KB Output is correct
36 Correct 12 ms 13056 KB Output is correct
37 Correct 9 ms 11756 KB Output is correct
38 Correct 8 ms 10988 KB Output is correct
39 Correct 251 ms 19180 KB Output is correct
40 Correct 240 ms 19180 KB Output is correct
41 Correct 291 ms 19308 KB Output is correct
42 Correct 278 ms 19308 KB Output is correct
43 Correct 154 ms 19052 KB Output is correct
44 Correct 115 ms 19564 KB Output is correct
45 Correct 210 ms 23148 KB Output is correct
46 Correct 137 ms 26988 KB Output is correct
47 Correct 329 ms 29804 KB Output is correct
48 Correct 405 ms 44268 KB Output is correct
49 Correct 416 ms 43136 KB Output is correct
50 Correct 343 ms 29676 KB Output is correct
51 Correct 326 ms 29924 KB Output is correct
52 Correct 394 ms 29804 KB Output is correct
53 Correct 402 ms 28652 KB Output is correct
54 Correct 333 ms 29548 KB Output is correct
55 Correct 18 ms 10732 KB Output is correct
56 Correct 20 ms 10604 KB Output is correct
57 Correct 127 ms 19052 KB Output is correct
58 Correct 53 ms 19548 KB Output is correct
59 Correct 140 ms 27244 KB Output is correct
60 Correct 861 ms 45676 KB Output is correct
61 Correct 389 ms 29968 KB Output is correct
62 Correct 430 ms 29932 KB Output is correct
63 Correct 508 ms 30060 KB Output is correct
64 Correct 951 ms 30564 KB Output is correct
65 Correct 406 ms 29952 KB Output is correct
66 Correct 646 ms 44772 KB Output is correct
67 Correct 250 ms 30532 KB Output is correct
68 Correct 506 ms 33260 KB Output is correct
69 Correct 491 ms 33356 KB Output is correct
70 Correct 467 ms 32364 KB Output is correct