// IOI 2011 - Race
// Lúcio Cardoso
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 2e5+10;
const int MAXD = 1e6+10;
const int MAXL = 20;
typedef pair<int, int> pii;
int n, k, size[MAXN], ans;
set<int> S[MAXD];
bool mark[MAXN];
vector<pii> grafo[MAXN];
int DFS(int u, int p)
{
size[u] = 1;
for (int i = 0; i < (int) grafo[u].size(); i++)
{
int v = grafo[u][i].first;
if (v == p || mark[v]) continue;
size[u] += DFS(v, u);
}
return size[u];
}
int centroid(int u, int x, int p)
{
for (int i = 0; i < (int) grafo[u].size(); i++)
{
int v = grafo[u][i].first;
if (v == p || mark[v]) continue;
if (size[v] > x/2) return centroid(v, x, u);
}
return u;
}
void upd(int u, int p, int d, int deep, int ok)
{
if (d > k) return;
if (ok) S[d].insert(deep);
else S[d].erase(deep);
for (int i = 0; i < (int) grafo[u].size(); i++)
{
int v = grafo[u][i].first;
if (v == p || mark[v]) continue;
upd(v, u, d+grafo[u][i].second, deep+1, ok);
}
}
int get(int u, int p, int d, int deep)
{
if (d > k) return 1e9;
int aux = 1e9;
if (S[k-d].size() > 0)
{
set<int>::iterator it = S[k-d].begin();
aux = deep+*it;
}
for (int i = 0; i < (int) grafo[u].size(); i++)
{
int v = grafo[u][i].first;
if (v == p || mark[v]) continue;
aux = min(aux, get(v, u, d+grafo[u][i].second, deep+1));
}
return aux;
}
void decompose(int u)
{
DFS(u, 0);
int c = centroid(u, size[u], 0);
mark[c] = 1;
upd(c, 0, 0, 0, 1);
int aux = 1e9;
for (int i = 0; i < (int) grafo[c].size(); i++)
{
int v = grafo[c][i].first;
if (mark[v]) continue;
upd(v, c, grafo[c][i].second, 1, 0);
aux = min(aux, get(v, c, grafo[c][i].second, 1));
upd(v, c, grafo[c][i].second, 1, 1);
}
ans = min(ans, aux);
upd(c, 0, 0, 0, 0);
for (int i = 0; i < (int) grafo[c].size(); i++)
{
int v = grafo[c][i].first;
if (!mark[v]) decompose(v);
}
}
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 a = H[i][0]+1, b = H[i][1]+1, c = L[i];
grafo[a].push_back(make_pair(b, c));
grafo[b].push_back(make_pair(a, c));
}
ans = 1e9;
decompose(1);
return (ans==1e9)?(-1):ans;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
52216 KB |
Output is correct |
2 |
Correct |
47 ms |
52216 KB |
Output is correct |
3 |
Correct |
47 ms |
52216 KB |
Output is correct |
4 |
Correct |
47 ms |
52220 KB |
Output is correct |
5 |
Correct |
46 ms |
52352 KB |
Output is correct |
6 |
Correct |
46 ms |
52544 KB |
Output is correct |
7 |
Correct |
46 ms |
52544 KB |
Output is correct |
8 |
Correct |
47 ms |
52544 KB |
Output is correct |
9 |
Correct |
47 ms |
52544 KB |
Output is correct |
10 |
Correct |
46 ms |
52544 KB |
Output is correct |
11 |
Correct |
47 ms |
52544 KB |
Output is correct |
12 |
Correct |
46 ms |
52544 KB |
Output is correct |
13 |
Correct |
47 ms |
52544 KB |
Output is correct |
14 |
Correct |
47 ms |
52544 KB |
Output is correct |
15 |
Correct |
47 ms |
52544 KB |
Output is correct |
16 |
Correct |
46 ms |
52544 KB |
Output is correct |
17 |
Correct |
49 ms |
52544 KB |
Output is correct |
18 |
Correct |
46 ms |
52640 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
52216 KB |
Output is correct |
2 |
Correct |
47 ms |
52216 KB |
Output is correct |
3 |
Correct |
47 ms |
52216 KB |
Output is correct |
4 |
Correct |
47 ms |
52220 KB |
Output is correct |
5 |
Correct |
46 ms |
52352 KB |
Output is correct |
6 |
Correct |
46 ms |
52544 KB |
Output is correct |
7 |
Correct |
46 ms |
52544 KB |
Output is correct |
8 |
Correct |
47 ms |
52544 KB |
Output is correct |
9 |
Correct |
47 ms |
52544 KB |
Output is correct |
10 |
Correct |
46 ms |
52544 KB |
Output is correct |
11 |
Correct |
47 ms |
52544 KB |
Output is correct |
12 |
Correct |
46 ms |
52544 KB |
Output is correct |
13 |
Correct |
47 ms |
52544 KB |
Output is correct |
14 |
Correct |
47 ms |
52544 KB |
Output is correct |
15 |
Correct |
47 ms |
52544 KB |
Output is correct |
16 |
Correct |
46 ms |
52544 KB |
Output is correct |
17 |
Correct |
49 ms |
52544 KB |
Output is correct |
18 |
Correct |
46 ms |
52640 KB |
Output is correct |
19 |
Correct |
46 ms |
52640 KB |
Output is correct |
20 |
Correct |
46 ms |
52640 KB |
Output is correct |
21 |
Correct |
48 ms |
52644 KB |
Output is correct |
22 |
Correct |
53 ms |
52852 KB |
Output is correct |
23 |
Correct |
50 ms |
52852 KB |
Output is correct |
24 |
Correct |
49 ms |
52852 KB |
Output is correct |
25 |
Correct |
51 ms |
52852 KB |
Output is correct |
26 |
Correct |
47 ms |
52852 KB |
Output is correct |
27 |
Correct |
48 ms |
52852 KB |
Output is correct |
28 |
Correct |
50 ms |
52852 KB |
Output is correct |
29 |
Correct |
51 ms |
52852 KB |
Output is correct |
30 |
Correct |
49 ms |
52856 KB |
Output is correct |
31 |
Correct |
50 ms |
52868 KB |
Output is correct |
32 |
Correct |
71 ms |
52884 KB |
Output is correct |
33 |
Correct |
50 ms |
52900 KB |
Output is correct |
34 |
Correct |
48 ms |
52916 KB |
Output is correct |
35 |
Correct |
49 ms |
52932 KB |
Output is correct |
36 |
Correct |
50 ms |
53072 KB |
Output is correct |
37 |
Correct |
50 ms |
53072 KB |
Output is correct |
38 |
Correct |
49 ms |
53072 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
52216 KB |
Output is correct |
2 |
Correct |
47 ms |
52216 KB |
Output is correct |
3 |
Correct |
47 ms |
52216 KB |
Output is correct |
4 |
Correct |
47 ms |
52220 KB |
Output is correct |
5 |
Correct |
46 ms |
52352 KB |
Output is correct |
6 |
Correct |
46 ms |
52544 KB |
Output is correct |
7 |
Correct |
46 ms |
52544 KB |
Output is correct |
8 |
Correct |
47 ms |
52544 KB |
Output is correct |
9 |
Correct |
47 ms |
52544 KB |
Output is correct |
10 |
Correct |
46 ms |
52544 KB |
Output is correct |
11 |
Correct |
47 ms |
52544 KB |
Output is correct |
12 |
Correct |
46 ms |
52544 KB |
Output is correct |
13 |
Correct |
47 ms |
52544 KB |
Output is correct |
14 |
Correct |
47 ms |
52544 KB |
Output is correct |
15 |
Correct |
47 ms |
52544 KB |
Output is correct |
16 |
Correct |
46 ms |
52544 KB |
Output is correct |
17 |
Correct |
49 ms |
52544 KB |
Output is correct |
18 |
Correct |
46 ms |
52640 KB |
Output is correct |
19 |
Correct |
401 ms |
59656 KB |
Output is correct |
20 |
Correct |
406 ms |
61080 KB |
Output is correct |
21 |
Correct |
448 ms |
62340 KB |
Output is correct |
22 |
Correct |
407 ms |
63716 KB |
Output is correct |
23 |
Correct |
195 ms |
65332 KB |
Output is correct |
24 |
Correct |
182 ms |
66788 KB |
Output is correct |
25 |
Correct |
544 ms |
70000 KB |
Output is correct |
26 |
Correct |
595 ms |
78148 KB |
Output is correct |
27 |
Correct |
366 ms |
78148 KB |
Output is correct |
28 |
Correct |
452 ms |
88800 KB |
Output is correct |
29 |
Correct |
461 ms |
91376 KB |
Output is correct |
30 |
Correct |
392 ms |
91376 KB |
Output is correct |
31 |
Correct |
375 ms |
91376 KB |
Output is correct |
32 |
Correct |
391 ms |
92892 KB |
Output is correct |
33 |
Correct |
568 ms |
94564 KB |
Output is correct |
34 |
Correct |
347 ms |
98296 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
52216 KB |
Output is correct |
2 |
Correct |
47 ms |
52216 KB |
Output is correct |
3 |
Correct |
47 ms |
52216 KB |
Output is correct |
4 |
Correct |
47 ms |
52220 KB |
Output is correct |
5 |
Correct |
46 ms |
52352 KB |
Output is correct |
6 |
Correct |
46 ms |
52544 KB |
Output is correct |
7 |
Correct |
46 ms |
52544 KB |
Output is correct |
8 |
Correct |
47 ms |
52544 KB |
Output is correct |
9 |
Correct |
47 ms |
52544 KB |
Output is correct |
10 |
Correct |
46 ms |
52544 KB |
Output is correct |
11 |
Correct |
47 ms |
52544 KB |
Output is correct |
12 |
Correct |
46 ms |
52544 KB |
Output is correct |
13 |
Correct |
47 ms |
52544 KB |
Output is correct |
14 |
Correct |
47 ms |
52544 KB |
Output is correct |
15 |
Correct |
47 ms |
52544 KB |
Output is correct |
16 |
Correct |
46 ms |
52544 KB |
Output is correct |
17 |
Correct |
49 ms |
52544 KB |
Output is correct |
18 |
Correct |
46 ms |
52640 KB |
Output is correct |
19 |
Correct |
46 ms |
52640 KB |
Output is correct |
20 |
Correct |
46 ms |
52640 KB |
Output is correct |
21 |
Correct |
48 ms |
52644 KB |
Output is correct |
22 |
Correct |
53 ms |
52852 KB |
Output is correct |
23 |
Correct |
50 ms |
52852 KB |
Output is correct |
24 |
Correct |
49 ms |
52852 KB |
Output is correct |
25 |
Correct |
51 ms |
52852 KB |
Output is correct |
26 |
Correct |
47 ms |
52852 KB |
Output is correct |
27 |
Correct |
48 ms |
52852 KB |
Output is correct |
28 |
Correct |
50 ms |
52852 KB |
Output is correct |
29 |
Correct |
51 ms |
52852 KB |
Output is correct |
30 |
Correct |
49 ms |
52856 KB |
Output is correct |
31 |
Correct |
50 ms |
52868 KB |
Output is correct |
32 |
Correct |
71 ms |
52884 KB |
Output is correct |
33 |
Correct |
50 ms |
52900 KB |
Output is correct |
34 |
Correct |
48 ms |
52916 KB |
Output is correct |
35 |
Correct |
49 ms |
52932 KB |
Output is correct |
36 |
Correct |
50 ms |
53072 KB |
Output is correct |
37 |
Correct |
50 ms |
53072 KB |
Output is correct |
38 |
Correct |
49 ms |
53072 KB |
Output is correct |
39 |
Correct |
401 ms |
59656 KB |
Output is correct |
40 |
Correct |
406 ms |
61080 KB |
Output is correct |
41 |
Correct |
448 ms |
62340 KB |
Output is correct |
42 |
Correct |
407 ms |
63716 KB |
Output is correct |
43 |
Correct |
195 ms |
65332 KB |
Output is correct |
44 |
Correct |
182 ms |
66788 KB |
Output is correct |
45 |
Correct |
544 ms |
70000 KB |
Output is correct |
46 |
Correct |
595 ms |
78148 KB |
Output is correct |
47 |
Correct |
366 ms |
78148 KB |
Output is correct |
48 |
Correct |
452 ms |
88800 KB |
Output is correct |
49 |
Correct |
461 ms |
91376 KB |
Output is correct |
50 |
Correct |
392 ms |
91376 KB |
Output is correct |
51 |
Correct |
375 ms |
91376 KB |
Output is correct |
52 |
Correct |
391 ms |
92892 KB |
Output is correct |
53 |
Correct |
568 ms |
94564 KB |
Output is correct |
54 |
Correct |
347 ms |
98296 KB |
Output is correct |
55 |
Correct |
72 ms |
98296 KB |
Output is correct |
56 |
Correct |
76 ms |
98296 KB |
Output is correct |
57 |
Correct |
308 ms |
98296 KB |
Output is correct |
58 |
Correct |
109 ms |
98296 KB |
Output is correct |
59 |
Correct |
451 ms |
106812 KB |
Output is correct |
60 |
Correct |
1637 ms |
123656 KB |
Output is correct |
61 |
Correct |
435 ms |
123656 KB |
Output is correct |
62 |
Correct |
609 ms |
123656 KB |
Output is correct |
63 |
Correct |
730 ms |
123656 KB |
Output is correct |
64 |
Correct |
1731 ms |
127520 KB |
Output is correct |
65 |
Correct |
343 ms |
127520 KB |
Output is correct |
66 |
Correct |
1265 ms |
132344 KB |
Output is correct |
67 |
Correct |
268 ms |
132344 KB |
Output is correct |
68 |
Correct |
779 ms |
137464 KB |
Output is correct |
69 |
Correct |
751 ms |
141132 KB |
Output is correct |
70 |
Correct |
683 ms |
143980 KB |
Output is correct |