oj.uz

Submission #875461

# Submission time Handle Problem Language Result Execution time Memory
875461 2023-11-19T19:03:43 Z AleXutzZu Race (IOI11_race) C++14
100 / 100
 1060 ms 47272 KB 
#include "race.h"
#include <vector>
#include <map>

struct Graph {
private:
    std::vector<std::vector<std::pair<int, int>>> adj;
    int size;
    std::vector<int> subtree;
    std::vector<bool> removed;
    std::map<int, int> min_edges;
    int answer = -1;

    int calc_subtree(int node, int root = -1) {
        subtree[node] = 1;
        for (const auto &[x, weight]: adj[node]) {
            if (x == root || removed[x]) continue;
            subtree[node] += calc_subtree(x, node);
        }
        return subtree[node];
    }

    int find_centroid(int node, int tree_size, int root = -1) {
        for (const auto &[x, weight]: adj[node]) {
            if (x == root || removed[x]) continue;
            if (subtree[x] > tree_size / 2) return find_centroid(x, tree_size, node);
        }
        return node;
    }

    void search(int node, int root, bool assign, int sum, int target, int depth) {
        if (sum > target) return;
        if (assign) {
            if (min_edges[sum] == 0 || depth < min_edges[sum]) min_edges[sum] = depth;
        } else {
            if (sum == target) {
                if (answer == -1 || depth < answer) answer = depth;
            } else {
                if (min_edges[target - sum] != 0) {
                    if (answer == -1 || min_edges[target - sum] + depth < answer) {
                        answer = min_edges[target - sum] + depth;
                    }
                }
            }
        }

        for (const auto &[x, weight]: adj[node]) {
            if (x == root || removed[x]) continue;
            search(x, node, assign, sum + weight, target, depth + 1);
        }
    }


    void decompose(int node, int target) {
        int centroid = find_centroid(node, calc_subtree(node));
        removed[centroid] = true;


        for (const auto &[x, weight]: adj[centroid]) {
            if (removed[x]) continue;

            search(x, centroid, false, weight, target, 1);
            search(x, centroid, true, weight, target, 1);
        }

        min_edges.clear();

        for (const auto &[x, weight]: adj[centroid]) {
            if (removed[x]) continue;
            decompose(x, target);
        }

    }

public:
    explicit Graph(int size) : size(size) {
        adj.resize(size);
        subtree.resize(size, 0);
        removed.resize(size, false);
    }

    void add_edge(int x, int y, int c) {
        adj[x].emplace_back(y, c);
        adj[y].emplace_back(x, c);
    }

    int get_answer(int target) {
        decompose(0, target);
        return answer;
    }
};


int best_path(int N, int K, int H[][2], int L[]) {
    Graph tree(N);
    for (int i = 0; i < N - 1; ++i) {
        tree.add_edge(H[i][0], H[i][1], L[i]);
    }

    return tree.get_answer(K);
}

Compilation message

race.cpp: In member function 'int Graph::calc_subtree(int, int)':
race.cpp:16:26: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   16 |         for (const auto &[x, weight]: adj[node]) {
      |                          ^
race.cpp: In member function 'int Graph::find_centroid(int, int, int)':
race.cpp:24:26: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   24 |         for (const auto &[x, weight]: adj[node]) {
      |                          ^
race.cpp: In member function 'void Graph::search(int, int, bool, int, int, int)':
race.cpp:47:26: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   47 |         for (const auto &[x, weight]: adj[node]) {
      |                          ^
race.cpp: In member function 'void Graph::decompose(int, int)':
race.cpp:59:26: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   59 |         for (const auto &[x, weight]: adj[centroid]) {
      |                          ^
race.cpp:68:26: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   68 |         for (const auto &[x, weight]: adj[centroid]) {
      |                          ^

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2392 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2392 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 2 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 2 ms 2636 KB Output is correct
26 Correct 1 ms 2392 KB Output is correct
27 Correct 1 ms 2392 KB Output is correct
28 Correct 2 ms 2396 KB Output is correct
29 Correct 2 ms 2396 KB Output is correct
30 Correct 2 ms 2396 KB Output is correct
31 Correct 2 ms 2392 KB Output is correct
32 Correct 2 ms 2396 KB Output is correct
33 Correct 2 ms 2396 KB Output is correct
34 Correct 2 ms 2396 KB Output is correct
35 Correct 2 ms 2392 KB Output is correct
36 Correct 2 ms 2396 KB Output is correct
37 Correct 2 ms 2396 KB Output is correct
38 Correct 2 ms 2396 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2392 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 167 ms 9272 KB Output is correct
20 Correct 165 ms 9280 KB Output is correct
21 Correct 169 ms 9292 KB Output is correct
22 Correct 162 ms 9352 KB Output is correct
23 Correct 63 ms 9424 KB Output is correct
24 Correct 65 ms 9416 KB Output is correct
25 Correct 108 ms 10840 KB Output is correct
26 Correct 84 ms 15564 KB Output is correct
27 Correct 156 ms 21228 KB Output is correct
28 Correct 196 ms 28120 KB Output is correct
29 Correct 170 ms 27456 KB Output is correct
30 Correct 159 ms 21228 KB Output is correct
31 Correct 176 ms 21240 KB Output is correct
32 Correct 154 ms 21072 KB Output is correct
33 Correct 252 ms 19792 KB Output is correct
34 Correct 111 ms 20844 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2392 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 2 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 2 ms 2636 KB Output is correct
26 Correct 1 ms 2392 KB Output is correct
27 Correct 1 ms 2392 KB Output is correct
28 Correct 2 ms 2396 KB Output is correct
29 Correct 2 ms 2396 KB Output is correct
30 Correct 2 ms 2396 KB Output is correct
31 Correct 2 ms 2392 KB Output is correct
32 Correct 2 ms 2396 KB Output is correct
33 Correct 2 ms 2396 KB Output is correct
34 Correct 2 ms 2396 KB Output is correct
35 Correct 2 ms 2392 KB Output is correct
36 Correct 2 ms 2396 KB Output is correct
37 Correct 2 ms 2396 KB Output is correct
38 Correct 2 ms 2396 KB Output is correct
39 Correct 167 ms 9272 KB Output is correct
40 Correct 165 ms 9280 KB Output is correct
41 Correct 169 ms 9292 KB Output is correct
42 Correct 162 ms 9352 KB Output is correct
43 Correct 63 ms 9424 KB Output is correct
44 Correct 65 ms 9416 KB Output is correct
45 Correct 108 ms 10840 KB Output is correct
46 Correct 84 ms 15564 KB Output is correct
47 Correct 156 ms 21228 KB Output is correct
48 Correct 196 ms 28120 KB Output is correct
49 Correct 170 ms 27456 KB Output is correct
50 Correct 159 ms 21228 KB Output is correct
51 Correct 176 ms 21240 KB Output is correct
52 Correct 154 ms 21072 KB Output is correct
53 Correct 252 ms 19792 KB Output is correct
54 Correct 111 ms 20844 KB Output is correct
55 Correct 23 ms 3416 KB Output is correct
56 Correct 17 ms 3164 KB Output is correct
57 Correct 135 ms 10868 KB Output is correct
58 Correct 49 ms 10436 KB Output is correct
59 Correct 338 ms 22228 KB Output is correct
60 Correct 949 ms 47272 KB Output is correct
61 Correct 267 ms 21620 KB Output is correct
62 Correct 276 ms 21552 KB Output is correct
63 Correct 300 ms 21664 KB Output is correct
64 Correct 1060 ms 30728 KB Output is correct
65 Correct 141 ms 21972 KB Output is correct
66 Correct 618 ms 26724 KB Output is correct
67 Correct 89 ms 21960 KB Output is correct
68 Correct 385 ms 29036 KB Output is correct
69 Correct 456 ms 29216 KB Output is correct
70 Correct 405 ms 28232 KB Output is correct