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Submission #798149

# Submission time Handle Problem Language Result Execution time Memory
798149 2023-07-30T11:59:22 Z jlallas384 Race (IOI11_race) C++17
100 / 100
 667 ms 50852 KB 
#include <bits/stdc++.h>
#include "race.h"
using namespace std;
const int MX = 1e6;
vector<vector<pair<int,int>>> g;
vector<int> sz, dead;

int dfs_sz(int v, int p){
    sz[v] = 1;
    for(auto [u, w]: g[v]) if(u != p && !dead[u]){
        sz[v] += dfs_sz(u, v);
    }
    return sz[v];
}

int cent(int v, int p, int n){
    for(auto [u, w]: g[v]) if(u != p && !dead[u] && sz[u] > n / 2){
        return cent(u, v, n);
    }
    return v;
}

void dfs(int v, int p, int ws, vector<pair<int,int>> &ps, int ln){
    if(ws > MX) return;
    ps.emplace_back(ws, ln);
    for(auto [u, w]: g[v]) if(u != p && !dead[u]){
        dfs(u, v, ws + w, ps, ln + 1);
    }
}

int dc(int v, int k){
    int n = dfs_sz(v, -1);
    int c = cent(v, -1, n);
    dead[c] = 1;
    vector<vector<pair<int,int>>> ps;
    for(auto [u, w]: g[c]) if(!dead[u]){
        ps.emplace_back();
        dfs(u, c, w, ps.back(), 1);
    }
    int ans = 1e9;
    map<int,int> mins;
    mins[0] = 0;
    for(auto chld: ps){
        for(auto [x, ln]: chld){
            if(k - x >= 0){
                if(mins.find(k - x) != mins.end()) ans = min(ans, mins[k - x] + ln);
            }
        }
        for(auto [x, ln]: chld){
            if(mins.find(x) != mins.end()) mins[x] = min(mins[x], ln);
            else mins[x] = ln;
        }
    }
    for(auto [u, w]: g[c]) if(!dead[u]){
        ans = min(ans, dc(u, k));
    }
    return ans;
}

int best_path(int n, int k, int h[][2], int l[]){
    g.resize(n);
    sz.resize(n);
    dead.resize(n);
    for(int i = 0; i < n - 1; i++){
        g[h[i][0]].emplace_back(h[i][1], l[i]);
        g[h[i][1]].emplace_back(h[i][0], l[i]);
    }    
    int ans = dc(0, k);
    if(ans >= 1e9) ans = -1;
    return ans;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 212 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 2 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 2 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 2 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 468 KB Output is correct
29 Correct 2 ms 468 KB Output is correct
30 Correct 2 ms 468 KB Output is correct
31 Correct 2 ms 468 KB Output is correct
32 Correct 2 ms 468 KB Output is correct
33 Correct 2 ms 468 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 468 KB Output is correct
38 Correct 2 ms 468 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 182 ms 9952 KB Output is correct
20 Correct 172 ms 11452 KB Output is correct
21 Correct 169 ms 11460 KB Output is correct
22 Correct 155 ms 11392 KB Output is correct
23 Correct 228 ms 11704 KB Output is correct
24 Correct 118 ms 11116 KB Output is correct
25 Correct 150 ms 14664 KB Output is correct
26 Correct 87 ms 17328 KB Output is correct
27 Correct 238 ms 21744 KB Output is correct
28 Correct 560 ms 40388 KB Output is correct
29 Correct 578 ms 39444 KB Output is correct
30 Correct 277 ms 21776 KB Output is correct
31 Correct 232 ms 21780 KB Output is correct
32 Correct 274 ms 21916 KB Output is correct
33 Correct 404 ms 22016 KB Output is correct
34 Correct 166 ms 19020 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 2 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 2 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 2 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 468 KB Output is correct
29 Correct 2 ms 468 KB Output is correct
30 Correct 2 ms 468 KB Output is correct
31 Correct 2 ms 468 KB Output is correct
32 Correct 2 ms 468 KB Output is correct
33 Correct 2 ms 468 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 468 KB Output is correct
38 Correct 2 ms 468 KB Output is correct
39 Correct 182 ms 9952 KB Output is correct
40 Correct 172 ms 11452 KB Output is correct
41 Correct 169 ms 11460 KB Output is correct
42 Correct 155 ms 11392 KB Output is correct
43 Correct 228 ms 11704 KB Output is correct
44 Correct 118 ms 11116 KB Output is correct
45 Correct 150 ms 14664 KB Output is correct
46 Correct 87 ms 17328 KB Output is correct
47 Correct 238 ms 21744 KB Output is correct
48 Correct 560 ms 40388 KB Output is correct
49 Correct 578 ms 39444 KB Output is correct
50 Correct 277 ms 21776 KB Output is correct
51 Correct 232 ms 21780 KB Output is correct
52 Correct 274 ms 21916 KB Output is correct
53 Correct 404 ms 22016 KB Output is correct
54 Correct 166 ms 19020 KB Output is correct
55 Correct 18 ms 2024 KB Output is correct
56 Correct 12 ms 1364 KB Output is correct
57 Correct 119 ms 11320 KB Output is correct
58 Correct 47 ms 14960 KB Output is correct
59 Correct 248 ms 24224 KB Output is correct
60 Correct 667 ms 50852 KB Output is correct
61 Correct 270 ms 23196 KB Output is correct
62 Correct 232 ms 21736 KB Output is correct
63 Correct 267 ms 21768 KB Output is correct
64 Correct 636 ms 34160 KB Output is correct
65 Correct 178 ms 20348 KB Output is correct
66 Correct 466 ms 29588 KB Output is correct
67 Correct 119 ms 30936 KB Output is correct
68 Correct 320 ms 28916 KB Output is correct
69 Correct 313 ms 29212 KB Output is correct
70 Correct 287 ms 27864 KB Output is correct