| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 852455 |
2023-09-21T20:12:31 Z |
kawchar85 |
Race (IOI11_race) |
C++17 |
|
289 ms |
37456 KB |
/*
https://oj.uz/problem/view/IOI11_race
You are given a weight tree with N nodes, indexed from 1 to N.
Find the minimum number of edges used in a path with length K or
print “-1” if the path doesn’t exist.
1≤N≤2×10^5,1≤wi,j∈N≤10^6,1≤K≤10^6
*/
#include <bits/stdc++.h>
using namespace std;
#define MAX 200005
typedef long long ll;
vector<pair<int, int>> adj[MAX];
bool is_removed[MAX];
int n, k, ans, sz[MAX], cnt[1000006];
int get_size(int u, int p = -1) {
sz[u] = 1;
for(auto [v, w] : adj[u]) {
if(v == p || is_removed[v]) continue;
sz[u] += get_size(v, u);
}
return sz[u];
}
int get_centroid(int u, int n, int p = -1) {
for(auto [v, w] : adj[u]) {
if(v == p || is_removed[v]) continue;
if(sz[v] * 2 > n) return get_centroid(v, n, u);
}
return u;
}
void get_cnts(int sum, int u, int p, bool f, int depth = 1) {
if(sum > k) return;
if(f) cnt[sum] = min(cnt[sum], depth);
else ans = min(ans, depth + cnt[k - sum]);
for(auto [v, w] : adj[u]) {
if(v == p || is_removed[v]) continue;
get_cnts(sum + w, v, u, f, depth + 1);
}
}
void del(int sum, int u, int p = -1) {
if(sum > k) return;
cnt[sum] = 2e7;
for(auto [v, w] : adj[u]) {
if(v == p || is_removed[v]) continue;
del(sum + w, v, u);
}
}
void build_centroid_decomposition(int u = 0) {
int c = get_centroid(u, get_size(u));
cnt[0] = 0;
for(auto [v, w] : adj[c]) {
if(is_removed[v]) continue;
get_cnts(w, v, c, 0);
get_cnts(w, v, c, 1);
}
for(auto [v, w] : adj[c]) {
if(is_removed[v]) continue;
del(w, v, c);
}
is_removed[c] = 1;
for(auto [v, w] : adj[c]) {
if(is_removed[v]) continue;
build_centroid_decomposition(v);
}
}
int best_path(int N, int K, int h[][2], int l[]) {
n = N;
k = K;
for(int i = 0; i < n; i++) {
adj[i].clear();
is_removed[i] = 0;
sz[i] = 0;
}
for(int i = 0; i < 1000006; i++) {
cnt[i] = 2e7;
}
for(int i = 0, u, v; i < n - 1; ++i) {
u = h[i][0];
v = h[i][1];
adj[u].push_back(make_pair(v, l[i]));
adj[v].push_back(make_pair(u, l[i]));
}
ans = 2e7;
build_centroid_decomposition();
if(ans > 1e7) ans = -1;
return ans;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 2 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 3 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 4 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 5 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 6 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 7 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 8 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 9 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 10 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 11 |
Correct |
3 ms |
13912 KB |
Output is correct |
| 12 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 13 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 14 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 15 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 16 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 17 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 18 |
Correct |
3 ms |
13656 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 2 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 3 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 4 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 5 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 6 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 7 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 8 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 9 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 10 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 11 |
Correct |
3 ms |
13912 KB |
Output is correct |
| 12 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 13 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 14 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 15 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 16 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 17 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 18 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 19 |
Correct |
4 ms |
13652 KB |
Output is correct |
| 20 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 21 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 22 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 23 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 24 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 25 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 26 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 27 |
Correct |
3 ms |
13912 KB |
Output is correct |
| 28 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 29 |
Correct |
4 ms |
13656 KB |
Output is correct |
| 30 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 31 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 32 |
Correct |
3 ms |
13860 KB |
Output is correct |
| 33 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 34 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 35 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 36 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 37 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 38 |
Correct |
3 ms |
13660 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 2 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 3 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 4 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 5 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 6 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 7 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 8 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 9 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 10 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 11 |
Correct |
3 ms |
13912 KB |
Output is correct |
| 12 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 13 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 14 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 15 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 16 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 17 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 18 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 19 |
Correct |
84 ms |
20816 KB |
Output is correct |
| 20 |
Correct |
95 ms |
20712 KB |
Output is correct |
| 21 |
Correct |
100 ms |
20816 KB |
Output is correct |
| 22 |
Correct |
80 ms |
20816 KB |
Output is correct |
| 23 |
Correct |
48 ms |
21208 KB |
Output is correct |
| 24 |
Correct |
38 ms |
21092 KB |
Output is correct |
| 25 |
Correct |
79 ms |
23896 KB |
Output is correct |
| 26 |
Correct |
81 ms |
26708 KB |
Output is correct |
| 27 |
Correct |
102 ms |
26460 KB |
Output is correct |
| 28 |
Correct |
142 ms |
37456 KB |
Output is correct |
| 29 |
Correct |
147 ms |
36616 KB |
Output is correct |
| 30 |
Correct |
106 ms |
26216 KB |
Output is correct |
| 31 |
Correct |
101 ms |
26192 KB |
Output is correct |
| 32 |
Correct |
115 ms |
26452 KB |
Output is correct |
| 33 |
Correct |
126 ms |
25168 KB |
Output is correct |
| 34 |
Correct |
108 ms |
26296 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 2 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 3 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 4 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 5 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 6 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 7 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 8 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 9 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 10 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 11 |
Correct |
3 ms |
13912 KB |
Output is correct |
| 12 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 13 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 14 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 15 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 16 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 17 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 18 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 19 |
Correct |
4 ms |
13652 KB |
Output is correct |
| 20 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 21 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 22 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 23 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 24 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 25 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 26 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 27 |
Correct |
3 ms |
13912 KB |
Output is correct |
| 28 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 29 |
Correct |
4 ms |
13656 KB |
Output is correct |
| 30 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 31 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 32 |
Correct |
3 ms |
13860 KB |
Output is correct |
| 33 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 34 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 35 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 36 |
Correct |
3 ms |
13656 KB |
Output is correct |
| 37 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 38 |
Correct |
3 ms |
13660 KB |
Output is correct |
| 39 |
Correct |
84 ms |
20816 KB |
Output is correct |
| 40 |
Correct |
95 ms |
20712 KB |
Output is correct |
| 41 |
Correct |
100 ms |
20816 KB |
Output is correct |
| 42 |
Correct |
80 ms |
20816 KB |
Output is correct |
| 43 |
Correct |
48 ms |
21208 KB |
Output is correct |
| 44 |
Correct |
38 ms |
21092 KB |
Output is correct |
| 45 |
Correct |
79 ms |
23896 KB |
Output is correct |
| 46 |
Correct |
81 ms |
26708 KB |
Output is correct |
| 47 |
Correct |
102 ms |
26460 KB |
Output is correct |
| 48 |
Correct |
142 ms |
37456 KB |
Output is correct |
| 49 |
Correct |
147 ms |
36616 KB |
Output is correct |
| 50 |
Correct |
106 ms |
26216 KB |
Output is correct |
| 51 |
Correct |
101 ms |
26192 KB |
Output is correct |
| 52 |
Correct |
115 ms |
26452 KB |
Output is correct |
| 53 |
Correct |
126 ms |
25168 KB |
Output is correct |
| 54 |
Correct |
108 ms |
26296 KB |
Output is correct |
| 55 |
Correct |
9 ms |
14168 KB |
Output is correct |
| 56 |
Correct |
9 ms |
14168 KB |
Output is correct |
| 57 |
Correct |
60 ms |
21012 KB |
Output is correct |
| 58 |
Correct |
28 ms |
20676 KB |
Output is correct |
| 59 |
Correct |
77 ms |
26608 KB |
Output is correct |
| 60 |
Correct |
289 ms |
36944 KB |
Output is correct |
| 61 |
Correct |
112 ms |
26448 KB |
Output is correct |
| 62 |
Correct |
126 ms |
26192 KB |
Output is correct |
| 63 |
Correct |
141 ms |
26216 KB |
Output is correct |
| 64 |
Correct |
253 ms |
26452 KB |
Output is correct |
| 65 |
Correct |
120 ms |
27216 KB |
Output is correct |
| 66 |
Correct |
219 ms |
34640 KB |
Output is correct |
| 67 |
Correct |
72 ms |
26836 KB |
Output is correct |
| 68 |
Correct |
135 ms |
27008 KB |
Output is correct |
| 69 |
Correct |
139 ms |
27216 KB |
Output is correct |
| 70 |
Correct |
143 ms |
26704 KB |
Output is correct |
