Submission #697257

# Submission time Handle Problem Language Result Execution time Memory
697257 2023-02-09T01:23:31 Z Hacv16 Race (IOI11_race) C++17
100 / 100
351 ms 51640 KB
#include <bits/stdc++.h>
using namespace std;

#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")

#define fr first
#define sc second

typedef long long ll;
const int MAX = 1e6 + 15;
const int INF = 0x3f3f3f3f;

int n, k, ans, sub[MAX], f[MAX];
vector<pair<int, int>> adj[MAX], update;
vector<int> fixupdate;
bool removed[MAX];

void dfsInit(int u, int p){
    sub[u] = 1;

    for(auto e : adj[u]){
        if(e.fr == p || removed[e.fr]) continue;
        dfsInit(e.fr, u);
        sub[u] += sub[e.fr];
    }
}

int findCentroid(ll u, ll p, ll sz){
    for(auto e : adj[u]){
        if(e.fr == p || removed[e.fr]) continue;
        if(sub[e.fr] > sz / 2) 
            return findCentroid(e.fr, u, sz);
    }

    return u;
}

void dfsCalc(int u, int p, int edges, int length){
    if(length <= k) ans = min(ans, edges + f[k - length]);
    update.emplace_back(length, edges);
    fixupdate.emplace_back(length);

    for(auto e : adj[u]){
        ll v = e.fr, w = e.sc;
        if(v == p || removed[v]) continue;
        if(length + w <= k)
            dfsCalc(v, u, edges + 1, length + w);
    }
}

void decompose(ll u){
    dfsInit(u, u);
    ll centroid = findCentroid(u, u, sub[u]);
    removed[centroid] = true;   

    f[0] = 0;

    for(auto e : adj[centroid]){
        if(removed[e.fr]) continue; 
        dfsCalc(e.fr, centroid, 1, e.sc);

        for(auto p : update)
            if(p.fr <= k) f[p.fr] = min(f[p.fr], p.sc);

        update.clear();
    }

    for(auto x : fixupdate) f[x] = INF;
    fixupdate.clear();

    for(auto e : adj[centroid])
        if(!removed[e.fr]) decompose(e.fr);
}

int best_path(int _n, int _k, int h[][2], int l[]){
    n = _n, k = _k;

    for(int i = 0; i < n - 1; i++){
        ll u = h[i][0], v = h[i][1], w = l[i];
        adj[u].emplace_back(v, w);
        adj[v].emplace_back(u, w);
    }

    ans = INF;
    for(int i = 0; i <= k; i++) f[i] = INF;

    decompose(0);

    return (ans == INF ? -1 : ans);
}

// int main(){
//     ios_base::sync_with_stdio(false);
//     cin.tie(NULL);

//     cin >> n >> k;

//     for(int i = 0; i < n - 1; i++)
//         cin >> H[i][0] >> H[i][1] >> L[i];

//     cout << best_path(n, k, H, L) << '\n';
// }
# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 13 ms 23800 KB Output is correct
3 Correct 11 ms 23800 KB Output is correct
4 Correct 13 ms 23796 KB Output is correct
5 Correct 13 ms 23764 KB Output is correct
6 Correct 12 ms 23764 KB Output is correct
7 Correct 13 ms 23764 KB Output is correct
8 Correct 14 ms 23764 KB Output is correct
9 Correct 13 ms 23764 KB Output is correct
10 Correct 12 ms 23792 KB Output is correct
11 Correct 13 ms 23796 KB Output is correct
12 Correct 12 ms 23764 KB Output is correct
13 Correct 12 ms 23796 KB Output is correct
14 Correct 13 ms 23796 KB Output is correct
15 Correct 12 ms 23764 KB Output is correct
16 Correct 13 ms 23796 KB Output is correct
17 Correct 12 ms 23764 KB Output is correct
18 Correct 12 ms 23800 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 13 ms 23800 KB Output is correct
3 Correct 11 ms 23800 KB Output is correct
4 Correct 13 ms 23796 KB Output is correct
5 Correct 13 ms 23764 KB Output is correct
6 Correct 12 ms 23764 KB Output is correct
7 Correct 13 ms 23764 KB Output is correct
8 Correct 14 ms 23764 KB Output is correct
9 Correct 13 ms 23764 KB Output is correct
10 Correct 12 ms 23792 KB Output is correct
11 Correct 13 ms 23796 KB Output is correct
12 Correct 12 ms 23764 KB Output is correct
13 Correct 12 ms 23796 KB Output is correct
14 Correct 13 ms 23796 KB Output is correct
15 Correct 12 ms 23764 KB Output is correct
16 Correct 13 ms 23796 KB Output is correct
17 Correct 12 ms 23764 KB Output is correct
18 Correct 12 ms 23800 KB Output is correct
19 Correct 12 ms 23728 KB Output is correct
20 Correct 12 ms 23796 KB Output is correct
21 Correct 12 ms 23800 KB Output is correct
22 Correct 15 ms 27604 KB Output is correct
23 Correct 14 ms 27324 KB Output is correct
24 Correct 14 ms 27264 KB Output is correct
25 Correct 15 ms 27132 KB Output is correct
26 Correct 13 ms 25172 KB Output is correct
27 Correct 14 ms 26964 KB Output is correct
28 Correct 14 ms 24660 KB Output is correct
29 Correct 14 ms 25172 KB Output is correct
30 Correct 15 ms 25284 KB Output is correct
31 Correct 14 ms 26452 KB Output is correct
32 Correct 14 ms 26580 KB Output is correct
33 Correct 14 ms 26852 KB Output is correct
34 Correct 14 ms 26112 KB Output is correct
35 Correct 14 ms 26964 KB Output is correct
36 Correct 14 ms 27532 KB Output is correct
37 Correct 15 ms 26964 KB Output is correct
38 Correct 14 ms 25808 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 13 ms 23800 KB Output is correct
3 Correct 11 ms 23800 KB Output is correct
4 Correct 13 ms 23796 KB Output is correct
5 Correct 13 ms 23764 KB Output is correct
6 Correct 12 ms 23764 KB Output is correct
7 Correct 13 ms 23764 KB Output is correct
8 Correct 14 ms 23764 KB Output is correct
9 Correct 13 ms 23764 KB Output is correct
10 Correct 12 ms 23792 KB Output is correct
11 Correct 13 ms 23796 KB Output is correct
12 Correct 12 ms 23764 KB Output is correct
13 Correct 12 ms 23796 KB Output is correct
14 Correct 13 ms 23796 KB Output is correct
15 Correct 12 ms 23764 KB Output is correct
16 Correct 13 ms 23796 KB Output is correct
17 Correct 12 ms 23764 KB Output is correct
18 Correct 12 ms 23800 KB Output is correct
19 Correct 107 ms 29616 KB Output is correct
20 Correct 113 ms 29628 KB Output is correct
21 Correct 112 ms 29980 KB Output is correct
22 Correct 111 ms 30292 KB Output is correct
23 Correct 73 ms 30796 KB Output is correct
24 Correct 58 ms 30660 KB Output is correct
25 Correct 104 ms 31616 KB Output is correct
26 Correct 89 ms 35652 KB Output is correct
27 Correct 160 ms 37588 KB Output is correct
28 Correct 218 ms 42936 KB Output is correct
29 Correct 224 ms 42460 KB Output is correct
30 Correct 162 ms 37612 KB Output is correct
31 Correct 151 ms 37604 KB Output is correct
32 Correct 180 ms 37608 KB Output is correct
33 Correct 189 ms 36300 KB Output is correct
34 Correct 196 ms 41316 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 13 ms 23800 KB Output is correct
3 Correct 11 ms 23800 KB Output is correct
4 Correct 13 ms 23796 KB Output is correct
5 Correct 13 ms 23764 KB Output is correct
6 Correct 12 ms 23764 KB Output is correct
7 Correct 13 ms 23764 KB Output is correct
8 Correct 14 ms 23764 KB Output is correct
9 Correct 13 ms 23764 KB Output is correct
10 Correct 12 ms 23792 KB Output is correct
11 Correct 13 ms 23796 KB Output is correct
12 Correct 12 ms 23764 KB Output is correct
13 Correct 12 ms 23796 KB Output is correct
14 Correct 13 ms 23796 KB Output is correct
15 Correct 12 ms 23764 KB Output is correct
16 Correct 13 ms 23796 KB Output is correct
17 Correct 12 ms 23764 KB Output is correct
18 Correct 12 ms 23800 KB Output is correct
19 Correct 12 ms 23728 KB Output is correct
20 Correct 12 ms 23796 KB Output is correct
21 Correct 12 ms 23800 KB Output is correct
22 Correct 15 ms 27604 KB Output is correct
23 Correct 14 ms 27324 KB Output is correct
24 Correct 14 ms 27264 KB Output is correct
25 Correct 15 ms 27132 KB Output is correct
26 Correct 13 ms 25172 KB Output is correct
27 Correct 14 ms 26964 KB Output is correct
28 Correct 14 ms 24660 KB Output is correct
29 Correct 14 ms 25172 KB Output is correct
30 Correct 15 ms 25284 KB Output is correct
31 Correct 14 ms 26452 KB Output is correct
32 Correct 14 ms 26580 KB Output is correct
33 Correct 14 ms 26852 KB Output is correct
34 Correct 14 ms 26112 KB Output is correct
35 Correct 14 ms 26964 KB Output is correct
36 Correct 14 ms 27532 KB Output is correct
37 Correct 15 ms 26964 KB Output is correct
38 Correct 14 ms 25808 KB Output is correct
39 Correct 107 ms 29616 KB Output is correct
40 Correct 113 ms 29628 KB Output is correct
41 Correct 112 ms 29980 KB Output is correct
42 Correct 111 ms 30292 KB Output is correct
43 Correct 73 ms 30796 KB Output is correct
44 Correct 58 ms 30660 KB Output is correct
45 Correct 104 ms 31616 KB Output is correct
46 Correct 89 ms 35652 KB Output is correct
47 Correct 160 ms 37588 KB Output is correct
48 Correct 218 ms 42936 KB Output is correct
49 Correct 224 ms 42460 KB Output is correct
50 Correct 162 ms 37612 KB Output is correct
51 Correct 151 ms 37604 KB Output is correct
52 Correct 180 ms 37608 KB Output is correct
53 Correct 189 ms 36300 KB Output is correct
54 Correct 196 ms 41316 KB Output is correct
55 Correct 19 ms 24532 KB Output is correct
56 Correct 20 ms 24572 KB Output is correct
57 Correct 77 ms 31544 KB Output is correct
58 Correct 41 ms 31272 KB Output is correct
59 Correct 90 ms 36440 KB Output is correct
60 Correct 351 ms 51640 KB Output is correct
61 Correct 152 ms 37996 KB Output is correct
62 Correct 176 ms 42544 KB Output is correct
63 Correct 229 ms 42576 KB Output is correct
64 Correct 350 ms 41940 KB Output is correct
65 Correct 216 ms 42488 KB Output is correct
66 Correct 301 ms 45596 KB Output is correct
67 Correct 107 ms 43964 KB Output is correct
68 Correct 226 ms 42752 KB Output is correct
69 Correct 215 ms 42916 KB Output is correct
70 Correct 200 ms 42172 KB Output is correct