oj.uz

Submission #1117421

# Submission time Handle Problem Language Result Execution time Memory
1117421 2024-11-23T14:33:17 Z batata1 Race (IOI11_race) C++17
100 / 100
 386 ms 48460 KB 
#include<bits/stdc++.h>
#include "race.h"
using namespace std;
typedef long long ll;
#define pii pair<ll,int>
#define _caminho second
#define _k first
#define INF 1e9
vector<bool> previousCentroid;

void find_sub( int v , int paiV ,vector<int>& sub , vector<vector<int>>& A ) {
    sub[v] = 1;
    for( int viz : A[v] ) if( viz != paiV && !previousCentroid[viz] )
    { find_sub( viz , v , sub , A ); sub[v] += sub[viz]; }
}

int find_centroid( int v,  int paiV , int n , vector<int>& sub ,  vector<vector<int>>& A) {
    for( int viz : A[v] ) if( viz != paiV && !previousCentroid[viz] )
     if( 2*sub[viz] > n ) return find_centroid( viz , v , n , sub , A );
    return v;
}

void dfs( int v , int paiV , ll caminhoPai , int nDeAresta ,vector<pii>& kValidos ,vector<vector<ll>>& peso , vector<vector<int>>& A) {
    //if (caminhoPai > k) return;
    kValidos.push_back( make_pair( caminhoPai , nDeAresta) );
    if( !A[v].empty() ) for( int i = 0 , viz = A[v][0] ; i < A[v].size() ; viz = A[v][++i] ) if( viz != paiV && !previousCentroid[viz] )
     dfs( viz , v , caminhoPai + peso[v][i] , nDeAresta+1 , kValidos , peso , A );
}

ll divide_and_conquer( int v , vector<int>& sub, vector<int>& minComK , vector<vector<ll>>& peso , vector<vector<int>>& A) {
    int k = minComK.size()-1;
    find_sub( v , v , sub , A );
    v = find_centroid( v , v , sub[v] , sub , A );
    ll caminhoMin = INF;

    vector<int> kValidos;
    if( !A[v].empty() ) for( int i = 0 , viz = A[v][0] ; i < A[v].size() ; viz = A[v][++i] ) if( !previousCentroid[viz] ) {
        vector<pii> kValidosParaSub;
         dfs( viz , v , peso[v][i] , 1 , kValidosParaSub , peso , A );
        for( pii& e : kValidosParaSub ) if( e._k <= k ) caminhoMin = min( caminhoMin , e._caminho + ( long long ) minComK[ k - e._k ] );
        for( pii& e : kValidosParaSub ) if( e._k <= k ) {
            kValidos.push_back(e._k);
            minComK[e._k] = min( minComK[e._k] , e._caminho );
        }
    }
    for( int e : kValidos ) minComK[e] = INF;
    minComK[0] = 0;

    previousCentroid[v] = true;
    for( int viz : A[v] ) if(!previousCentroid[viz])
      caminhoMin = min( caminhoMin , divide_and_conquer( viz , sub , minComK , peso , A ) );
    return caminhoMin;
}

int best_path(int N, int K, int H[][2], int L[]) {
    //k = K;
    vector<int> minComK( K+1 , INF );
    minComK[0] = 0;
    previousCentroid.resize(N+1 , false );
    vector<vector<int>> A(N+1);
    vector<vector<ll>> peso(N+1);
    for(int i = 0;  i < N-1 ; i++ ) {
        peso[++H[i][1]].push_back(L[i]);
        peso[++H[i][0]].push_back(L[i]);
        A[H[i][1]].push_back(H[i][0]);
        A[H[i][0]].push_back(H[i][1]);
    }
    vector<int> sub( N+1 , 0 );
    int resp = ( int ) divide_and_conquer( 1 , sub , minComK , peso , A );
    previousCentroid.clear();
    return ( resp == INF ) ? -1 : resp;
}

Compilation message

race.cpp: In function 'void dfs(int, int, ll, int, std::vector<std::pair<long long int, int> >&, std::vector<std::vector<long long int> >&, std::vector<std::vector<int> >&)':
race.cpp:26:60: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 |     if( !A[v].empty() ) for( int i = 0 , viz = A[v][0] ; i < A[v].size() ; viz = A[v][++i] ) if( viz != paiV && !previousCentroid[viz] )
      |                                                          ~~^~~~~~~~~~~~~
race.cpp: In function 'll divide_and_conquer(int, std::vector<int>&, std::vector<int>&, std::vector<std::vector<long long int> >&, std::vector<std::vector<int> >&)':
race.cpp:37:60: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   37 |     if( !A[v].empty() ) for( int i = 0 , viz = A[v][0] ; i < A[v].size() ; viz = A[v][++i] ) if( !previousCentroid[viz] ) {
      |                                                          ~~^~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 504 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 504 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 592 KB Output is correct
22 Correct 5 ms 4176 KB Output is correct
23 Correct 3 ms 3408 KB Output is correct
24 Correct 4 ms 3920 KB Output is correct
25 Correct 4 ms 3664 KB Output is correct
26 Correct 2 ms 1872 KB Output is correct
27 Correct 3 ms 3676 KB Output is correct
28 Correct 2 ms 1360 KB Output is correct
29 Correct 2 ms 1616 KB Output is correct
30 Correct 3 ms 1872 KB Output is correct
31 Correct 3 ms 3152 KB Output is correct
32 Correct 3 ms 3152 KB Output is correct
33 Correct 5 ms 3408 KB Output is correct
34 Correct 3 ms 2896 KB Output is correct
35 Correct 3 ms 3664 KB Output is correct
36 Correct 4 ms 4176 KB Output is correct
37 Correct 3 ms 3664 KB Output is correct
38 Correct 3 ms 2384 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 504 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 127 ms 14980 KB Output is correct
20 Correct 136 ms 14912 KB Output is correct
21 Correct 145 ms 15264 KB Output is correct
22 Correct 111 ms 15144 KB Output is correct
23 Correct 125 ms 14784 KB Output is correct
24 Correct 60 ms 14628 KB Output is correct
25 Correct 156 ms 21676 KB Output is correct
26 Correct 114 ms 22700 KB Output is correct
27 Correct 192 ms 27208 KB Output is correct
28 Correct 358 ms 44640 KB Output is correct
29 Correct 351 ms 43428 KB Output is correct
30 Correct 195 ms 27252 KB Output is correct
31 Correct 166 ms 27208 KB Output is correct
32 Correct 221 ms 27208 KB Output is correct
33 Correct 249 ms 28704 KB Output is correct
34 Correct 222 ms 27588 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 504 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 592 KB Output is correct
22 Correct 5 ms 4176 KB Output is correct
23 Correct 3 ms 3408 KB Output is correct
24 Correct 4 ms 3920 KB Output is correct
25 Correct 4 ms 3664 KB Output is correct
26 Correct 2 ms 1872 KB Output is correct
27 Correct 3 ms 3676 KB Output is correct
28 Correct 2 ms 1360 KB Output is correct
29 Correct 2 ms 1616 KB Output is correct
30 Correct 3 ms 1872 KB Output is correct
31 Correct 3 ms 3152 KB Output is correct
32 Correct 3 ms 3152 KB Output is correct
33 Correct 5 ms 3408 KB Output is correct
34 Correct 3 ms 2896 KB Output is correct
35 Correct 3 ms 3664 KB Output is correct
36 Correct 4 ms 4176 KB Output is correct
37 Correct 3 ms 3664 KB Output is correct
38 Correct 3 ms 2384 KB Output is correct
39 Correct 127 ms 14980 KB Output is correct
40 Correct 136 ms 14912 KB Output is correct
41 Correct 145 ms 15264 KB Output is correct
42 Correct 111 ms 15144 KB Output is correct
43 Correct 125 ms 14784 KB Output is correct
44 Correct 60 ms 14628 KB Output is correct
45 Correct 156 ms 21676 KB Output is correct
46 Correct 114 ms 22700 KB Output is correct
47 Correct 192 ms 27208 KB Output is correct
48 Correct 358 ms 44640 KB Output is correct
49 Correct 351 ms 43428 KB Output is correct
50 Correct 195 ms 27252 KB Output is correct
51 Correct 166 ms 27208 KB Output is correct
52 Correct 221 ms 27208 KB Output is correct
53 Correct 249 ms 28704 KB Output is correct
54 Correct 222 ms 27588 KB Output is correct
55 Correct 12 ms 1872 KB Output is correct
56 Correct 9 ms 1872 KB Output is correct
57 Correct 80 ms 15268 KB Output is correct
58 Correct 34 ms 15044 KB Output is correct
59 Correct 91 ms 23476 KB Output is correct
60 Correct 337 ms 48460 KB Output is correct
61 Correct 171 ms 27696 KB Output is correct
62 Correct 178 ms 32176 KB Output is correct
63 Correct 229 ms 32176 KB Output is correct
64 Correct 350 ms 32252 KB Output is correct
65 Correct 288 ms 29120 KB Output is correct
66 Correct 386 ms 47012 KB Output is correct
67 Correct 122 ms 33456 KB Output is correct
68 Correct 246 ms 33468 KB Output is correct
69 Correct 239 ms 33776 KB Output is correct
70 Correct 203 ms 32472 KB Output is correct