| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 1000809 |
2024-06-18T09:31:17 Z |
saayan007 |
Race (IOI11_race) |
C++17 |
|
299 ms |
32536 KB |
/*
This problem can be found at https://oj.uz/problem/view/IOI11_race.
SOLUTION
Consider the problem of finding a path of length K containing minimum edges THAT GOES A FIXED NODE x.
This can be done in O(Size of Tree) time. Once this is done, we can remove the node x and edges connected to it. Then we can solve the problem for the remaining connected components.
The best choice of x is the centroid of the tree.
*/
#include "race.h"
#include "bits/stdc++.h"
using namespace std;
const int mxN = 2e5L + 10;
const int mxK = 1e6L + 10;
int n, k;
vector<pair<int, int>> adj[mxN];
int ans = mxN;
int sz[mxN];
bool proc[mxN] = {};
int dp[mxK];
int get_sz(int x, int p) {
sz[x] = 1;
for(auto [y, w] : adj[x]) {
if(proc[y] || y == p) continue;
sz[x] += get_sz(y, x);
}
return sz[x];
}
int get_cen(int x, int p, int tot) {
for(auto [y, w] : adj[x]) {
if(proc[y] || y == p || sz[y] * 2 <= tot) continue;
return get_cen(y, x, tot);
}
return x;
}
void dfs(int x, int p, int dep, int dis, int flag) {
if(dis > k) return;
if(flag == 0) {
if(dp[k - dis] != mxN) ans = min(ans, dep + dp[k - dis]);
}
else if(flag == 1) {
dp[dis] = min(dp[dis], dep);
}
else if(flag == 2) {
dp[dis] = mxN;
}
for(auto [y, w] : adj[x]) {
if(proc[y] || y == p) continue;
dfs(y, x, dep + 1, dis + w, flag);
}
}
void solve(int x = 1, int p = -1) {
int c = get_cen(x, p, get_sz(x, p));
dp[0] = 0;
for(auto [d, w] : adj[c]) {
if(proc[d]) continue;
dfs(d, c, 1, w, 0);
dfs(d, c, 1, w, 1);
}
for(auto [d, w] : adj[c]) {
if(proc[d]) continue;
dfs(d, c, 1, w, 2);
}
dp[0] = mxN;
proc[c] = 1;
for(auto [d, w] : adj[c]) {
if(proc[d]) continue;
solve(d, c);
}
}
int best_path(int N, int K, int H[][2], int L[])
{
for(int i = 0; i < mxK; ++i) dp[i] = mxN;
n = N; k = K;
for(int i = 0; i < n - 1; ++i) {
adj[H[i][0] + 1].emplace_back(H[i][1] + 1, L[i]);
adj[H[i][1] + 1].emplace_back(H[i][0] + 1, L[i]);
}
solve();
return (ans > n - 1 ? -1 : ans);
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 2 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 3 |
Correct |
4 ms |
8920 KB |
Output is correct |
| 4 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 5 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 6 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 7 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 8 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 9 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 10 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 11 |
Correct |
4 ms |
8844 KB |
Output is correct |
| 12 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 13 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 14 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 15 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 16 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 17 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 18 |
Correct |
4 ms |
9052 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 2 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 3 |
Correct |
4 ms |
8920 KB |
Output is correct |
| 4 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 5 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 6 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 7 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 8 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 9 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 10 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 11 |
Correct |
4 ms |
8844 KB |
Output is correct |
| 12 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 13 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 14 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 15 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 16 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 17 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 18 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 19 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 20 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 21 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 22 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 23 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 24 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 25 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 26 |
Correct |
4 ms |
9012 KB |
Output is correct |
| 27 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 28 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 29 |
Correct |
4 ms |
8992 KB |
Output is correct |
| 30 |
Correct |
4 ms |
8980 KB |
Output is correct |
| 31 |
Correct |
4 ms |
9048 KB |
Output is correct |
| 32 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 33 |
Correct |
8 ms |
9052 KB |
Output is correct |
| 34 |
Correct |
5 ms |
9052 KB |
Output is correct |
| 35 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 36 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 37 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 38 |
Correct |
4 ms |
9052 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 2 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 3 |
Correct |
4 ms |
8920 KB |
Output is correct |
| 4 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 5 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 6 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 7 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 8 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 9 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 10 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 11 |
Correct |
4 ms |
8844 KB |
Output is correct |
| 12 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 13 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 14 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 15 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 16 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 17 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 18 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 19 |
Correct |
89 ms |
14420 KB |
Output is correct |
| 20 |
Correct |
85 ms |
15440 KB |
Output is correct |
| 21 |
Correct |
102 ms |
15304 KB |
Output is correct |
| 22 |
Correct |
85 ms |
15700 KB |
Output is correct |
| 23 |
Correct |
47 ms |
15960 KB |
Output is correct |
| 24 |
Correct |
36 ms |
15700 KB |
Output is correct |
| 25 |
Correct |
92 ms |
18348 KB |
Output is correct |
| 26 |
Correct |
69 ms |
20756 KB |
Output is correct |
| 27 |
Correct |
101 ms |
21328 KB |
Output is correct |
| 28 |
Correct |
153 ms |
32536 KB |
Output is correct |
| 29 |
Correct |
149 ms |
31828 KB |
Output is correct |
| 30 |
Correct |
98 ms |
21840 KB |
Output is correct |
| 31 |
Correct |
116 ms |
21844 KB |
Output is correct |
| 32 |
Correct |
111 ms |
21840 KB |
Output is correct |
| 33 |
Correct |
138 ms |
21060 KB |
Output is correct |
| 34 |
Correct |
112 ms |
20800 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 2 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 3 |
Correct |
4 ms |
8920 KB |
Output is correct |
| 4 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 5 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 6 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 7 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 8 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 9 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 10 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 11 |
Correct |
4 ms |
8844 KB |
Output is correct |
| 12 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 13 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 14 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 15 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 16 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 17 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 18 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 19 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 20 |
Correct |
3 ms |
9052 KB |
Output is correct |
| 21 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 22 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 23 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 24 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 25 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 26 |
Correct |
4 ms |
9012 KB |
Output is correct |
| 27 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 28 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 29 |
Correct |
4 ms |
8992 KB |
Output is correct |
| 30 |
Correct |
4 ms |
8980 KB |
Output is correct |
| 31 |
Correct |
4 ms |
9048 KB |
Output is correct |
| 32 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 33 |
Correct |
8 ms |
9052 KB |
Output is correct |
| 34 |
Correct |
5 ms |
9052 KB |
Output is correct |
| 35 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 36 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 37 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 38 |
Correct |
4 ms |
9052 KB |
Output is correct |
| 39 |
Correct |
89 ms |
14420 KB |
Output is correct |
| 40 |
Correct |
85 ms |
15440 KB |
Output is correct |
| 41 |
Correct |
102 ms |
15304 KB |
Output is correct |
| 42 |
Correct |
85 ms |
15700 KB |
Output is correct |
| 43 |
Correct |
47 ms |
15960 KB |
Output is correct |
| 44 |
Correct |
36 ms |
15700 KB |
Output is correct |
| 45 |
Correct |
92 ms |
18348 KB |
Output is correct |
| 46 |
Correct |
69 ms |
20756 KB |
Output is correct |
| 47 |
Correct |
101 ms |
21328 KB |
Output is correct |
| 48 |
Correct |
153 ms |
32536 KB |
Output is correct |
| 49 |
Correct |
149 ms |
31828 KB |
Output is correct |
| 50 |
Correct |
98 ms |
21840 KB |
Output is correct |
| 51 |
Correct |
116 ms |
21844 KB |
Output is correct |
| 52 |
Correct |
111 ms |
21840 KB |
Output is correct |
| 53 |
Correct |
138 ms |
21060 KB |
Output is correct |
| 54 |
Correct |
112 ms |
20800 KB |
Output is correct |
| 55 |
Correct |
10 ms |
9560 KB |
Output is correct |
| 56 |
Correct |
10 ms |
9596 KB |
Output is correct |
| 57 |
Correct |
52 ms |
14804 KB |
Output is correct |
| 58 |
Correct |
28 ms |
15568 KB |
Output is correct |
| 59 |
Correct |
71 ms |
20820 KB |
Output is correct |
| 60 |
Correct |
299 ms |
32128 KB |
Output is correct |
| 61 |
Correct |
123 ms |
21328 KB |
Output is correct |
| 62 |
Correct |
117 ms |
21768 KB |
Output is correct |
| 63 |
Correct |
159 ms |
21844 KB |
Output is correct |
| 64 |
Correct |
280 ms |
20560 KB |
Output is correct |
| 65 |
Correct |
112 ms |
22652 KB |
Output is correct |
| 66 |
Correct |
246 ms |
27988 KB |
Output is correct |
| 67 |
Correct |
64 ms |
23240 KB |
Output is correct |
| 68 |
Correct |
151 ms |
22276 KB |
Output is correct |
| 69 |
Correct |
142 ms |
20252 KB |
Output is correct |
| 70 |
Correct |
135 ms |
21836 KB |
Output is correct |
