oj.uz

Submission #931347

# Submission time Handle Problem Language Result Execution time Memory
931347 2024-02-21T15:47:59 Z Ice_man Race (IOI11_race) C++14
100 / 100
 305 ms 81128 KB 
#include <bits/stdc++.h>
#include "race.h"
#include <vector>

#define maxn 2000005
#define mod 1000000007
#define INF 1000000005

#define X first
#define Y second

using namespace std;

vector <pair <int, int>> v[maxn];
int sz[maxn];

int used[maxn];


int find_sz(int node, int parent)
{
    sz[node] = 1;

    for(pair <int, int> e : v[node])
    {
        if(e.X == parent || used[e.X] == true)
            continue;

        sz[node] += find_sz(e.X , node);
    }

    return sz[node];
}



int find_centroid(int node, int parent, int _sz)
{
    for(pair <int, int> e : v[node])
    {
        if(e.X == parent || used[e.X] == true)
            continue;

        if(sz[e.X] * 2 > _sz)
            return find_centroid(e.X, node, _sz);

    }

    return node;
}

int c = 1e8;
int ans = INF;

int help[maxn];

void dfs1(int node, int parent, int depth, int weight, int k)
{
    if(weight > 0 && weight <= k)
        help[weight] = c;

    if(k > weight)
        help[k - weight] = c;

    for(pair <int, int> e : v[node])
    {
        if(e.X == parent || used[e.X] == true)
            continue;

        dfs1(e.X, node, depth + 1, weight + e.Y, k);
    }

}

void dfs2(int node, int parent, int depth, int weight, int k)
{
    if(weight <= k && parent != -1)
        ans = min(ans, help[k - weight] + depth);

    for(pair <int, int> e : v[node])
    {
        if(e.X == parent || used[e.X] == true)
            continue;

        dfs2(e.X, node, depth + 1, weight + e.Y, k);
    }

}


void dfs3(int node, int parent, int depth, int weight, int k)
{
    if (k >= weight && parent != -1)
        help[weight] = min(help[weight], depth);

    for (pair <int, int> e : v[node])
    {
        if (e.X == parent || used[e.X])
            continue;

        dfs3(e.X, node, depth + 1, weight + e.Y , k);
    }
}




void decompose(int node , int k)
{
    int cur_sz = find_sz(node , -1);

    int centroid = find_centroid(node , -1 , cur_sz);

    used[centroid] = true;

    for(pair <int , int> e : v[centroid])
    {
        if(used[e.X] == true)
            continue;

        dfs1(e.X , centroid , 1 , e.Y , k);
    }

    for(pair <int , int> e : v[centroid])
    {
        if(used[e.X] == true)
            continue;

        dfs2(e.X, centroid , 1 , e.Y , k);
        dfs3(e.X , centroid , 1 , e.Y , k);

    }

    for(pair <int , int> e : v[centroid])
    {
        if(used[e.X] == true)
            continue;

        decompose(e.X , k);
    }
}



int best_path(int n , int k , int h[][2] , int l[])
{
    for(int i = 0; i < n - 1; i++)
    {
        v[h[i][0]].push_back({h[i][1] , l[i]});
        v[h[i][1]].push_back({h[i][0] , l[i]});
    }

    help[0] = 0;
    decompose(0 , k);

    if(ans > n)
        return -1;

    return ans;

}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 53848 KB Output is correct
2 Correct 13 ms 53848 KB Output is correct
3 Correct 13 ms 53996 KB Output is correct
4 Correct 12 ms 53852 KB Output is correct
5 Correct 12 ms 53852 KB Output is correct
6 Correct 12 ms 53852 KB Output is correct
7 Correct 12 ms 53852 KB Output is correct
8 Correct 13 ms 54020 KB Output is correct
9 Correct 12 ms 53848 KB Output is correct
10 Correct 12 ms 53852 KB Output is correct
11 Correct 12 ms 53852 KB Output is correct
12 Correct 12 ms 53852 KB Output is correct
13 Correct 12 ms 53936 KB Output is correct
14 Correct 12 ms 53852 KB Output is correct
15 Correct 12 ms 53852 KB Output is correct
16 Correct 12 ms 53852 KB Output is correct
17 Correct 13 ms 53852 KB Output is correct
18 Correct 12 ms 53852 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 53848 KB Output is correct
2 Correct 13 ms 53848 KB Output is correct
3 Correct 13 ms 53996 KB Output is correct
4 Correct 12 ms 53852 KB Output is correct
5 Correct 12 ms 53852 KB Output is correct
6 Correct 12 ms 53852 KB Output is correct
7 Correct 12 ms 53852 KB Output is correct
8 Correct 13 ms 54020 KB Output is correct
9 Correct 12 ms 53848 KB Output is correct
10 Correct 12 ms 53852 KB Output is correct
11 Correct 12 ms 53852 KB Output is correct
12 Correct 12 ms 53852 KB Output is correct
13 Correct 12 ms 53936 KB Output is correct
14 Correct 12 ms 53852 KB Output is correct
15 Correct 12 ms 53852 KB Output is correct
16 Correct 12 ms 53852 KB Output is correct
17 Correct 13 ms 53852 KB Output is correct
18 Correct 12 ms 53852 KB Output is correct
19 Correct 12 ms 53852 KB Output is correct
20 Correct 14 ms 53852 KB Output is correct
21 Correct 14 ms 53852 KB Output is correct
22 Correct 13 ms 58080 KB Output is correct
23 Correct 13 ms 57944 KB Output is correct
24 Correct 16 ms 58204 KB Output is correct
25 Correct 14 ms 57948 KB Output is correct
26 Correct 13 ms 55896 KB Output is correct
27 Correct 12 ms 53852 KB Output is correct
28 Correct 12 ms 56000 KB Output is correct
29 Correct 13 ms 56116 KB Output is correct
30 Correct 13 ms 55896 KB Output is correct
31 Correct 13 ms 57948 KB Output is correct
32 Correct 13 ms 57944 KB Output is correct
33 Correct 14 ms 57948 KB Output is correct
34 Correct 13 ms 56116 KB Output is correct
35 Correct 15 ms 58176 KB Output is correct
36 Correct 14 ms 57948 KB Output is correct
37 Correct 15 ms 58160 KB Output is correct
38 Correct 13 ms 55900 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 53848 KB Output is correct
2 Correct 13 ms 53848 KB Output is correct
3 Correct 13 ms 53996 KB Output is correct
4 Correct 12 ms 53852 KB Output is correct
5 Correct 12 ms 53852 KB Output is correct
6 Correct 12 ms 53852 KB Output is correct
7 Correct 12 ms 53852 KB Output is correct
8 Correct 13 ms 54020 KB Output is correct
9 Correct 12 ms 53848 KB Output is correct
10 Correct 12 ms 53852 KB Output is correct
11 Correct 12 ms 53852 KB Output is correct
12 Correct 12 ms 53852 KB Output is correct
13 Correct 12 ms 53936 KB Output is correct
14 Correct 12 ms 53852 KB Output is correct
15 Correct 12 ms 53852 KB Output is correct
16 Correct 12 ms 53852 KB Output is correct
17 Correct 13 ms 53852 KB Output is correct
18 Correct 12 ms 53852 KB Output is correct
19 Correct 123 ms 60244 KB Output is correct
20 Correct 116 ms 60240 KB Output is correct
21 Correct 116 ms 60224 KB Output is correct
22 Correct 97 ms 60244 KB Output is correct
23 Correct 87 ms 60496 KB Output is correct
24 Correct 57 ms 60324 KB Output is correct
25 Correct 125 ms 63648 KB Output is correct
26 Correct 94 ms 65776 KB Output is correct
27 Correct 145 ms 64432 KB Output is correct
28 Correct 288 ms 75720 KB Output is correct
29 Correct 297 ms 74852 KB Output is correct
30 Correct 145 ms 64520 KB Output is correct
31 Correct 145 ms 64564 KB Output is correct
32 Correct 172 ms 64672 KB Output is correct
33 Correct 205 ms 63412 KB Output is correct
34 Correct 199 ms 63252 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 53848 KB Output is correct
2 Correct 13 ms 53848 KB Output is correct
3 Correct 13 ms 53996 KB Output is correct
4 Correct 12 ms 53852 KB Output is correct
5 Correct 12 ms 53852 KB Output is correct
6 Correct 12 ms 53852 KB Output is correct
7 Correct 12 ms 53852 KB Output is correct
8 Correct 13 ms 54020 KB Output is correct
9 Correct 12 ms 53848 KB Output is correct
10 Correct 12 ms 53852 KB Output is correct
11 Correct 12 ms 53852 KB Output is correct
12 Correct 12 ms 53852 KB Output is correct
13 Correct 12 ms 53936 KB Output is correct
14 Correct 12 ms 53852 KB Output is correct
15 Correct 12 ms 53852 KB Output is correct
16 Correct 12 ms 53852 KB Output is correct
17 Correct 13 ms 53852 KB Output is correct
18 Correct 12 ms 53852 KB Output is correct
19 Correct 12 ms 53852 KB Output is correct
20 Correct 14 ms 53852 KB Output is correct
21 Correct 14 ms 53852 KB Output is correct
22 Correct 13 ms 58080 KB Output is correct
23 Correct 13 ms 57944 KB Output is correct
24 Correct 16 ms 58204 KB Output is correct
25 Correct 14 ms 57948 KB Output is correct
26 Correct 13 ms 55896 KB Output is correct
27 Correct 12 ms 53852 KB Output is correct
28 Correct 12 ms 56000 KB Output is correct
29 Correct 13 ms 56116 KB Output is correct
30 Correct 13 ms 55896 KB Output is correct
31 Correct 13 ms 57948 KB Output is correct
32 Correct 13 ms 57944 KB Output is correct
33 Correct 14 ms 57948 KB Output is correct
34 Correct 13 ms 56116 KB Output is correct
35 Correct 15 ms 58176 KB Output is correct
36 Correct 14 ms 57948 KB Output is correct
37 Correct 15 ms 58160 KB Output is correct
38 Correct 13 ms 55900 KB Output is correct
39 Correct 123 ms 60244 KB Output is correct
40 Correct 116 ms 60240 KB Output is correct
41 Correct 116 ms 60224 KB Output is correct
42 Correct 97 ms 60244 KB Output is correct
43 Correct 87 ms 60496 KB Output is correct
44 Correct 57 ms 60324 KB Output is correct
45 Correct 125 ms 63648 KB Output is correct
46 Correct 94 ms 65776 KB Output is correct
47 Correct 145 ms 64432 KB Output is correct
48 Correct 288 ms 75720 KB Output is correct
49 Correct 297 ms 74852 KB Output is correct
50 Correct 145 ms 64520 KB Output is correct
51 Correct 145 ms 64564 KB Output is correct
52 Correct 172 ms 64672 KB Output is correct
53 Correct 205 ms 63412 KB Output is correct
54 Correct 199 ms 63252 KB Output is correct
55 Correct 19 ms 54364 KB Output is correct
56 Correct 19 ms 54364 KB Output is correct
57 Correct 69 ms 60628 KB Output is correct
58 Correct 40 ms 61380 KB Output is correct
59 Correct 86 ms 68900 KB Output is correct
60 Correct 305 ms 81128 KB Output is correct
61 Correct 145 ms 65976 KB Output is correct
62 Correct 145 ms 68692 KB Output is correct
63 Correct 178 ms 68680 KB Output is correct
64 Correct 296 ms 67372 KB Output is correct
65 Correct 225 ms 67668 KB Output is correct
66 Correct 300 ms 77140 KB Output is correct
67 Correct 84 ms 70248 KB Output is correct
68 Correct 176 ms 71024 KB Output is correct
69 Correct 213 ms 69396 KB Output is correct
70 Correct 165 ms 71148 KB Output is correct