| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 383350 |
2021-03-29T17:53:39 Z |
Aryan_Raina |
Race (IOI11_race) |
C++14 |
|
590 ms |
40172 KB |
#include "race.h"
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
#define ar array
const int INF = 1e9;
const int MOD = 1e9 + 7;
const int MXN = 2e5+9, MXK = 1e6+9;
vector<ar<int,2>> g[MXN];
int length[MXK], lastcnt[MXK], sz[MXN];
bool dead[MXK];
int n, k, ans = INT_MAX, cnt = 0;
int OneCentroid(int rt) {
function<void(int,int)> get_sz = [&](int u, int pu) {
sz[u] = 1;
for (auto v : g[u]) if (v[1] != pu && !dead[v[1]]) {
get_sz(v[1], u);
sz[u] += sz[v[1]];
}
};
get_sz(rt, rt);
function<int(int,int)> cent = [&](int u, int pu) {
for (auto v : g[u]) if (v[1] != pu && !dead[v[1]]) {
if (sz[v[1]] > sz[rt]/2) return cent(v[1], u);
}
return u;
};
return cent(rt, rt);
}
void dfs(int u, int pu, int len, int dist, bool update) {
if (k < dist || len > ans) return;
if (!update && lastcnt[k-dist] == cnt)
ans = min(ans, length[k-dist] + len);
if (update && (lastcnt[dist] < cnt || len < length[dist]))
length[dist] = len, lastcnt[dist] = cnt;
for (auto v : g[u]) if (v[1] != pu && !dead[v[1]])
dfs(v[1], u, len + 1, dist + v[0], update);
}
void decompose(int start) {
int cen = OneCentroid(start);
length[0] = 0; lastcnt[0] = ++cnt;
// get length, distance to each node in subtree of centroid from centroid
// ans = min(ans, length) if distance corresponding to it is k
for (auto v : g[cen]) if (!dead[v[1]]) {
dfs(v[1], cen, 1, v[0], false);
dfs(v[1], cen, 1, v[0], true);
}
dead[cen] = true;
for (auto v : g[cen]) if (!dead[v[1]]) decompose(v[1]);
dead[cen] = false;
}
int best_path(int N, int K, int H[][2], int L[]) {
n = N, k = K;
for (int i = 0; i < N-1; i++) {
g[H[i][0]].push_back({L[i], H[i][1]});
g[H[i][1]].push_back({L[i], H[i][0]});
}
decompose(0);
return (ans < INF/2) ? ans : -1;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 2 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 3 |
Correct |
5 ms |
5100 KB |
Output is correct |
| 4 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 5 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 6 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 7 |
Correct |
4 ms |
5120 KB |
Output is correct |
| 8 |
Correct |
5 ms |
5112 KB |
Output is correct |
| 9 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 10 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 11 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 12 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 13 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 14 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 15 |
Correct |
4 ms |
5120 KB |
Output is correct |
| 16 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 17 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 18 |
Correct |
4 ms |
5100 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 2 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 3 |
Correct |
5 ms |
5100 KB |
Output is correct |
| 4 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 5 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 6 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 7 |
Correct |
4 ms |
5120 KB |
Output is correct |
| 8 |
Correct |
5 ms |
5112 KB |
Output is correct |
| 9 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 10 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 11 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 12 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 13 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 14 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 15 |
Correct |
4 ms |
5120 KB |
Output is correct |
| 16 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 17 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 18 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 19 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 20 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 21 |
Correct |
6 ms |
5228 KB |
Output is correct |
| 22 |
Correct |
8 ms |
10092 KB |
Output is correct |
| 23 |
Correct |
8 ms |
9324 KB |
Output is correct |
| 24 |
Correct |
9 ms |
10860 KB |
Output is correct |
| 25 |
Correct |
8 ms |
8556 KB |
Output is correct |
| 26 |
Correct |
7 ms |
7788 KB |
Output is correct |
| 27 |
Correct |
5 ms |
5100 KB |
Output is correct |
| 28 |
Correct |
6 ms |
6636 KB |
Output is correct |
| 29 |
Correct |
7 ms |
7660 KB |
Output is correct |
| 30 |
Correct |
7 ms |
7916 KB |
Output is correct |
| 31 |
Correct |
8 ms |
8684 KB |
Output is correct |
| 32 |
Correct |
8 ms |
8812 KB |
Output is correct |
| 33 |
Correct |
9 ms |
10476 KB |
Output is correct |
| 34 |
Correct |
8 ms |
9580 KB |
Output is correct |
| 35 |
Correct |
9 ms |
10988 KB |
Output is correct |
| 36 |
Correct |
9 ms |
11500 KB |
Output is correct |
| 37 |
Correct |
8 ms |
8940 KB |
Output is correct |
| 38 |
Correct |
7 ms |
7404 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 2 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 3 |
Correct |
5 ms |
5100 KB |
Output is correct |
| 4 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 5 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 6 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 7 |
Correct |
4 ms |
5120 KB |
Output is correct |
| 8 |
Correct |
5 ms |
5112 KB |
Output is correct |
| 9 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 10 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 11 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 12 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 13 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 14 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 15 |
Correct |
4 ms |
5120 KB |
Output is correct |
| 16 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 17 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 18 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 19 |
Correct |
138 ms |
10348 KB |
Output is correct |
| 20 |
Correct |
134 ms |
10476 KB |
Output is correct |
| 21 |
Correct |
144 ms |
10476 KB |
Output is correct |
| 22 |
Correct |
135 ms |
10604 KB |
Output is correct |
| 23 |
Correct |
87 ms |
10604 KB |
Output is correct |
| 24 |
Correct |
66 ms |
10476 KB |
Output is correct |
| 25 |
Correct |
142 ms |
14956 KB |
Output is correct |
| 26 |
Correct |
108 ms |
19180 KB |
Output is correct |
| 27 |
Correct |
198 ms |
15980 KB |
Output is correct |
| 28 |
Correct |
332 ms |
36588 KB |
Output is correct |
| 29 |
Correct |
340 ms |
35180 KB |
Output is correct |
| 30 |
Correct |
200 ms |
18932 KB |
Output is correct |
| 31 |
Correct |
200 ms |
18884 KB |
Output is correct |
| 32 |
Correct |
245 ms |
19052 KB |
Output is correct |
| 33 |
Correct |
267 ms |
17864 KB |
Output is correct |
| 34 |
Correct |
227 ms |
18668 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 2 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 3 |
Correct |
5 ms |
5100 KB |
Output is correct |
| 4 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 5 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 6 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 7 |
Correct |
4 ms |
5120 KB |
Output is correct |
| 8 |
Correct |
5 ms |
5112 KB |
Output is correct |
| 9 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 10 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 11 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 12 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 13 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 14 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 15 |
Correct |
4 ms |
5120 KB |
Output is correct |
| 16 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 17 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 18 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 19 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 20 |
Correct |
4 ms |
5100 KB |
Output is correct |
| 21 |
Correct |
6 ms |
5228 KB |
Output is correct |
| 22 |
Correct |
8 ms |
10092 KB |
Output is correct |
| 23 |
Correct |
8 ms |
9324 KB |
Output is correct |
| 24 |
Correct |
9 ms |
10860 KB |
Output is correct |
| 25 |
Correct |
8 ms |
8556 KB |
Output is correct |
| 26 |
Correct |
7 ms |
7788 KB |
Output is correct |
| 27 |
Correct |
5 ms |
5100 KB |
Output is correct |
| 28 |
Correct |
6 ms |
6636 KB |
Output is correct |
| 29 |
Correct |
7 ms |
7660 KB |
Output is correct |
| 30 |
Correct |
7 ms |
7916 KB |
Output is correct |
| 31 |
Correct |
8 ms |
8684 KB |
Output is correct |
| 32 |
Correct |
8 ms |
8812 KB |
Output is correct |
| 33 |
Correct |
9 ms |
10476 KB |
Output is correct |
| 34 |
Correct |
8 ms |
9580 KB |
Output is correct |
| 35 |
Correct |
9 ms |
10988 KB |
Output is correct |
| 36 |
Correct |
9 ms |
11500 KB |
Output is correct |
| 37 |
Correct |
8 ms |
8940 KB |
Output is correct |
| 38 |
Correct |
7 ms |
7404 KB |
Output is correct |
| 39 |
Correct |
138 ms |
10348 KB |
Output is correct |
| 40 |
Correct |
134 ms |
10476 KB |
Output is correct |
| 41 |
Correct |
144 ms |
10476 KB |
Output is correct |
| 42 |
Correct |
135 ms |
10604 KB |
Output is correct |
| 43 |
Correct |
87 ms |
10604 KB |
Output is correct |
| 44 |
Correct |
66 ms |
10476 KB |
Output is correct |
| 45 |
Correct |
142 ms |
14956 KB |
Output is correct |
| 46 |
Correct |
108 ms |
19180 KB |
Output is correct |
| 47 |
Correct |
198 ms |
15980 KB |
Output is correct |
| 48 |
Correct |
332 ms |
36588 KB |
Output is correct |
| 49 |
Correct |
340 ms |
35180 KB |
Output is correct |
| 50 |
Correct |
200 ms |
18932 KB |
Output is correct |
| 51 |
Correct |
200 ms |
18884 KB |
Output is correct |
| 52 |
Correct |
245 ms |
19052 KB |
Output is correct |
| 53 |
Correct |
267 ms |
17864 KB |
Output is correct |
| 54 |
Correct |
227 ms |
18668 KB |
Output is correct |
| 55 |
Correct |
12 ms |
5740 KB |
Output is correct |
| 56 |
Correct |
13 ms |
5740 KB |
Output is correct |
| 57 |
Correct |
92 ms |
12012 KB |
Output is correct |
| 58 |
Correct |
44 ms |
11744 KB |
Output is correct |
| 59 |
Correct |
114 ms |
21356 KB |
Output is correct |
| 60 |
Correct |
538 ms |
40172 KB |
Output is correct |
| 61 |
Correct |
213 ms |
19180 KB |
Output is correct |
| 62 |
Correct |
237 ms |
19052 KB |
Output is correct |
| 63 |
Correct |
311 ms |
19052 KB |
Output is correct |
| 64 |
Correct |
590 ms |
21484 KB |
Output is correct |
| 65 |
Correct |
292 ms |
19692 KB |
Output is correct |
| 66 |
Correct |
488 ms |
40092 KB |
Output is correct |
| 67 |
Correct |
134 ms |
19548 KB |
Output is correct |
| 68 |
Correct |
281 ms |
24428 KB |
Output is correct |
| 69 |
Correct |
250 ms |
22892 KB |
Output is correct |
| 70 |
Correct |
243 ms |
24300 KB |
Output is correct |
