Submission #556229

# Submission time Handle Problem Language Result Execution time Memory
556229 2022-05-02T15:34:02 Z Dan4Life Race (IOI11_race) C++17
100 / 100
653 ms 53964 KB
#include "race.h"
#include <bits/stdc++.h>
using namespace std;

int answ, KK, cnt[1000010], subtree[200010], timer=-1, a[1000010];
set<pair<int,int>> adj[200010];

void dfs(int s, int p){
    subtree[s]=1;
    for(auto x : adj[s]){
        int u = x.first;
        if(u!=p) dfs(u,s), subtree[s]+=subtree[u];
    }
}

void dfs2(int s, int p, int dep, int weight, bool ok){
    if(weight>KK) return;
    for(auto u : adj[s])
        if(u.first!=p)
            dfs2(u.first,s,dep+1,weight+u.second, ok);
    int D = KK-weight;
    if(!ok){
        if(D and a[D]<timer) cnt[D] = cnt[KK+1], a[D]=timer;
        answ = min(answ, dep+cnt[D]);
    }
    else{
        if(a[weight]<timer) cnt[weight] = cnt[KK+1];
        a[weight]=timer; cnt[weight] = min(cnt[weight], dep);
    }
}

int find_centroid(int s, int p, int sz){
    for(auto u : adj[s])
        if(u.first!=p and subtree[u.first]>sz/2)
            return find_centroid(u.first, s, sz);
    return s;
}

void centroid_decomp(int s, int p){
    dfs(s,-1); int sz = subtree[s];
    int centroid = find_centroid(s,-1,sz);
    // at each level, i should reset cnt[], but that will take O(K) every time so...
    // I use another array, a[], which stores the last time i updated cnt[]
    timer++;
    for(auto w : adj[centroid]){
        int u = w.first; if(u==p) continue;
        dfs2(u,centroid,1,w.second,0), dfs2(u,centroid,1,w.second,1);
    }
    while(!adj[centroid].empty()){
        int x = adj[centroid].begin()->first;
        adj[x].erase(adj[x].lower_bound({centroid,-1}));
        adj[centroid].erase(adj[centroid].begin());
        centroid_decomp(x,centroid);
    }
}

int best_path(int N, int K, int H[][2], int L[])
{
    answ = N+1; KK = K; cnt[0]=0;
    for(int i = 1; i <= K+1; i++) cnt[i]=N+1;
    for(int i = 0; i < N-1; i++)
        adj[++H[i][0]].insert({++H[i][1],L[i]}),
        adj[H[i][1]].insert({H[i][0],L[i]});
    centroid_decomp(1,-1);
    return (answ==N+1?-1:answ);
}
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 5 ms 9684 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 5 ms 9684 KB Output is correct
12 Correct 5 ms 9684 KB Output is correct
13 Correct 5 ms 9684 KB Output is correct
14 Correct 5 ms 9684 KB Output is correct
15 Correct 6 ms 9684 KB Output is correct
16 Correct 5 ms 9684 KB Output is correct
17 Correct 5 ms 9684 KB Output is correct
18 Correct 5 ms 9672 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 5 ms 9684 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 5 ms 9684 KB Output is correct
12 Correct 5 ms 9684 KB Output is correct
13 Correct 5 ms 9684 KB Output is correct
14 Correct 5 ms 9684 KB Output is correct
15 Correct 6 ms 9684 KB Output is correct
16 Correct 5 ms 9684 KB Output is correct
17 Correct 5 ms 9684 KB Output is correct
18 Correct 5 ms 9672 KB Output is correct
19 Correct 5 ms 9684 KB Output is correct
20 Correct 5 ms 9684 KB Output is correct
21 Correct 6 ms 9812 KB Output is correct
22 Correct 9 ms 16724 KB Output is correct
23 Correct 9 ms 15444 KB Output is correct
24 Correct 9 ms 16452 KB Output is correct
25 Correct 10 ms 16212 KB Output is correct
26 Correct 7 ms 12372 KB Output is correct
27 Correct 7 ms 12884 KB Output is correct
28 Correct 7 ms 11348 KB Output is correct
29 Correct 7 ms 12372 KB Output is correct
30 Correct 8 ms 12628 KB Output is correct
31 Correct 9 ms 14932 KB Output is correct
32 Correct 9 ms 15316 KB Output is correct
33 Correct 9 ms 15828 KB Output is correct
34 Correct 8 ms 14456 KB Output is correct
35 Correct 10 ms 16084 KB Output is correct
36 Correct 10 ms 17108 KB Output is correct
37 Correct 9 ms 15924 KB Output is correct
38 Correct 8 ms 13676 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 5 ms 9684 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 5 ms 9684 KB Output is correct
12 Correct 5 ms 9684 KB Output is correct
13 Correct 5 ms 9684 KB Output is correct
14 Correct 5 ms 9684 KB Output is correct
15 Correct 6 ms 9684 KB Output is correct
16 Correct 5 ms 9684 KB Output is correct
17 Correct 5 ms 9684 KB Output is correct
18 Correct 5 ms 9672 KB Output is correct
19 Correct 198 ms 20676 KB Output is correct
20 Correct 171 ms 20668 KB Output is correct
21 Correct 201 ms 20676 KB Output is correct
22 Correct 200 ms 20628 KB Output is correct
23 Correct 111 ms 20640 KB Output is correct
24 Correct 92 ms 20676 KB Output is correct
25 Correct 197 ms 24672 KB Output is correct
26 Correct 115 ms 28492 KB Output is correct
27 Correct 258 ms 31656 KB Output is correct
28 Correct 357 ms 47192 KB Output is correct
29 Correct 355 ms 46116 KB Output is correct
30 Correct 263 ms 31436 KB Output is correct
31 Correct 267 ms 31504 KB Output is correct
32 Correct 314 ms 31608 KB Output is correct
33 Correct 314 ms 31740 KB Output is correct
34 Correct 268 ms 31704 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 5 ms 9684 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 5 ms 9684 KB Output is correct
9 Correct 5 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 5 ms 9684 KB Output is correct
12 Correct 5 ms 9684 KB Output is correct
13 Correct 5 ms 9684 KB Output is correct
14 Correct 5 ms 9684 KB Output is correct
15 Correct 6 ms 9684 KB Output is correct
16 Correct 5 ms 9684 KB Output is correct
17 Correct 5 ms 9684 KB Output is correct
18 Correct 5 ms 9672 KB Output is correct
19 Correct 5 ms 9684 KB Output is correct
20 Correct 5 ms 9684 KB Output is correct
21 Correct 6 ms 9812 KB Output is correct
22 Correct 9 ms 16724 KB Output is correct
23 Correct 9 ms 15444 KB Output is correct
24 Correct 9 ms 16452 KB Output is correct
25 Correct 10 ms 16212 KB Output is correct
26 Correct 7 ms 12372 KB Output is correct
27 Correct 7 ms 12884 KB Output is correct
28 Correct 7 ms 11348 KB Output is correct
29 Correct 7 ms 12372 KB Output is correct
30 Correct 8 ms 12628 KB Output is correct
31 Correct 9 ms 14932 KB Output is correct
32 Correct 9 ms 15316 KB Output is correct
33 Correct 9 ms 15828 KB Output is correct
34 Correct 8 ms 14456 KB Output is correct
35 Correct 10 ms 16084 KB Output is correct
36 Correct 10 ms 17108 KB Output is correct
37 Correct 9 ms 15924 KB Output is correct
38 Correct 8 ms 13676 KB Output is correct
39 Correct 198 ms 20676 KB Output is correct
40 Correct 171 ms 20668 KB Output is correct
41 Correct 201 ms 20676 KB Output is correct
42 Correct 200 ms 20628 KB Output is correct
43 Correct 111 ms 20640 KB Output is correct
44 Correct 92 ms 20676 KB Output is correct
45 Correct 197 ms 24672 KB Output is correct
46 Correct 115 ms 28492 KB Output is correct
47 Correct 258 ms 31656 KB Output is correct
48 Correct 357 ms 47192 KB Output is correct
49 Correct 355 ms 46116 KB Output is correct
50 Correct 263 ms 31436 KB Output is correct
51 Correct 267 ms 31504 KB Output is correct
52 Correct 314 ms 31608 KB Output is correct
53 Correct 314 ms 31740 KB Output is correct
54 Correct 268 ms 31704 KB Output is correct
55 Correct 15 ms 10840 KB Output is correct
56 Correct 17 ms 10748 KB Output is correct
57 Correct 101 ms 20732 KB Output is correct
58 Correct 66 ms 20664 KB Output is correct
59 Correct 138 ms 29816 KB Output is correct
60 Correct 653 ms 53964 KB Output is correct
61 Correct 282 ms 31564 KB Output is correct
62 Correct 311 ms 35532 KB Output is correct
63 Correct 387 ms 35488 KB Output is correct
64 Correct 644 ms 35728 KB Output is correct
65 Correct 319 ms 31624 KB Output is correct
66 Correct 511 ms 51308 KB Output is correct
67 Correct 295 ms 35500 KB Output is correct
68 Correct 400 ms 37764 KB Output is correct
69 Correct 474 ms 38040 KB Output is correct
70 Correct 384 ms 36744 KB Output is correct