Submission #553644

# Submission time Handle Problem Language Result Execution time Memory
553644 2022-04-26T12:54:43 Z timreizin Race (IOI11_race) C++17
100 / 100
850 ms 65512 KB
#include "race.h"
#include <vector>
#include <array>

using namespace std;

using ll = long long;

struct CentroidDecomposition
{
    int n, k;
    vector<bool> used;
    vector<vector<pair<int, ll>>> adj;
    vector<int> sizes, del1, del2;
    array<int, 1000001> counter1{}, counter2{};
    int res = -1;

    int calc(int v, int p)
    {
        sizes[v] = 1;
        for (auto [u, w] : adj[v])  if (u != p && !used[u]) sizes[v] += calc(u, v);
        return sizes[v];
    }

    int findCentroid(int v, int p, int all)
    {
        for (auto [u, w] : adj[v]) if (u != p && !used[u] && sizes[u] > all / 2) return findCentroid(u, v, all);
        return v;
    }

    void dfs(int v, int p, int l, ll d)
    {
        if (d <= k)
        {
            counter2[d] = min(counter2[d], l);
            del1.push_back(d);
            del2.push_back(d);
        }
        for (auto [u, w] : adj[v]) if (u != p && !used[u]) dfs(u, v, l + 1, d + w);
    }

    int build(int v)
    {
        int all = calc(v, 0);
        int centroid = findCentroid(v, 0, all);
        //calc res
        int res = 1e9;
        counter1[0] = 0;
        del1.push_back(0);
        for (auto [u, w]: adj[centroid])
        {
            if (!used[u])
            {
                dfs(u, centroid, 1, w);
                for (int i : del2) if (k - i >= 0) res = min(res, counter2[i] + counter1[k - i]);
                for (int i : del2)
                {
                    counter1[i] = min(counter1[i], counter2[i]);
                    counter2[i] = 1e9;
                }
                del2.clear();
            }
        }
        for (int i : del1) counter1[i] = 1e9;
        del1.clear();
        used[centroid] = true;
        for (auto [u, w] : adj[centroid]) if (!used[u]) res = min(res, build(u));
        return res;
    }

    CentroidDecomposition(vector<vector<pair<int, ll>>> adj, int k) : adj(adj), k(k)
    {
        int n = (int)adj.size() - 1;
        used.resize(n + 1);
        sizes.resize(n + 1);
        counter1.fill(1e9);
        counter2.fill(1e9);
        res = build(0);
        if (res == 1e9) res = -1;
    }

    int operator()()
    {
        return res;
    }

};


int best_path(int n, int k, int H[][2], int L[])
{
    vector<vector<pair<int, ll>>> adj(n + 1);
    for (int i = 0; i + 1 < n; ++i)
    {
        adj[H[i][0]].emplace_back(H[i][1], L[i]);
        adj[H[i][1]].emplace_back(H[i][0], L[i]);
    }
    return CentroidDecomposition(adj, k)();
}

Compilation message

race.cpp: In constructor 'CentroidDecomposition::CentroidDecomposition(std::vector<std::vector<std::pair<int, long long int> > >, int)':
race.cpp:13:35: warning: 'CentroidDecomposition::adj' will be initialized after [-Wreorder]
   13 |     vector<vector<pair<int, ll>>> adj;
      |                                   ^~~
race.cpp:11:12: warning:   'int CentroidDecomposition::k' [-Wreorder]
   11 |     int n, k;
      |            ^
race.cpp:71:5: warning:   when initialized here [-Wreorder]
   71 |     CentroidDecomposition(vector<vector<pair<int, ll>>> adj, int k) : adj(adj), k(k)
      |     ^~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 8148 KB Output is correct
2 Correct 5 ms 8148 KB Output is correct
3 Correct 7 ms 8152 KB Output is correct
4 Correct 5 ms 8100 KB Output is correct
5 Correct 5 ms 8104 KB Output is correct
6 Correct 5 ms 8148 KB Output is correct
7 Correct 5 ms 8148 KB Output is correct
8 Correct 6 ms 8104 KB Output is correct
9 Correct 5 ms 8148 KB Output is correct
10 Correct 5 ms 8148 KB Output is correct
11 Correct 6 ms 8020 KB Output is correct
12 Correct 5 ms 8148 KB Output is correct
13 Correct 6 ms 8148 KB Output is correct
14 Correct 5 ms 8144 KB Output is correct
15 Correct 5 ms 8104 KB Output is correct
16 Correct 5 ms 8108 KB Output is correct
17 Correct 5 ms 8100 KB Output is correct
18 Correct 6 ms 8104 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 8148 KB Output is correct
2 Correct 5 ms 8148 KB Output is correct
3 Correct 7 ms 8152 KB Output is correct
4 Correct 5 ms 8100 KB Output is correct
5 Correct 5 ms 8104 KB Output is correct
6 Correct 5 ms 8148 KB Output is correct
7 Correct 5 ms 8148 KB Output is correct
8 Correct 6 ms 8104 KB Output is correct
9 Correct 5 ms 8148 KB Output is correct
10 Correct 5 ms 8148 KB Output is correct
11 Correct 6 ms 8020 KB Output is correct
12 Correct 5 ms 8148 KB Output is correct
13 Correct 6 ms 8148 KB Output is correct
14 Correct 5 ms 8144 KB Output is correct
15 Correct 5 ms 8104 KB Output is correct
16 Correct 5 ms 8108 KB Output is correct
17 Correct 5 ms 8100 KB Output is correct
18 Correct 6 ms 8104 KB Output is correct
19 Correct 5 ms 8020 KB Output is correct
20 Correct 5 ms 8148 KB Output is correct
21 Correct 6 ms 8276 KB Output is correct
22 Correct 6 ms 8276 KB Output is correct
23 Correct 6 ms 8360 KB Output is correct
24 Correct 6 ms 8276 KB Output is correct
25 Correct 6 ms 8364 KB Output is correct
26 Correct 6 ms 8276 KB Output is correct
27 Correct 6 ms 8276 KB Output is correct
28 Correct 6 ms 8276 KB Output is correct
29 Correct 9 ms 8276 KB Output is correct
30 Correct 6 ms 8276 KB Output is correct
31 Correct 6 ms 8276 KB Output is correct
32 Correct 6 ms 8376 KB Output is correct
33 Correct 7 ms 8276 KB Output is correct
34 Correct 6 ms 8244 KB Output is correct
35 Correct 6 ms 8404 KB Output is correct
36 Correct 6 ms 8276 KB Output is correct
37 Correct 6 ms 8236 KB Output is correct
38 Correct 6 ms 8344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 8148 KB Output is correct
2 Correct 5 ms 8148 KB Output is correct
3 Correct 7 ms 8152 KB Output is correct
4 Correct 5 ms 8100 KB Output is correct
5 Correct 5 ms 8104 KB Output is correct
6 Correct 5 ms 8148 KB Output is correct
7 Correct 5 ms 8148 KB Output is correct
8 Correct 6 ms 8104 KB Output is correct
9 Correct 5 ms 8148 KB Output is correct
10 Correct 5 ms 8148 KB Output is correct
11 Correct 6 ms 8020 KB Output is correct
12 Correct 5 ms 8148 KB Output is correct
13 Correct 6 ms 8148 KB Output is correct
14 Correct 5 ms 8144 KB Output is correct
15 Correct 5 ms 8104 KB Output is correct
16 Correct 5 ms 8108 KB Output is correct
17 Correct 5 ms 8100 KB Output is correct
18 Correct 6 ms 8104 KB Output is correct
19 Correct 165 ms 32720 KB Output is correct
20 Correct 175 ms 32716 KB Output is correct
21 Correct 149 ms 32972 KB Output is correct
22 Correct 153 ms 33412 KB Output is correct
23 Correct 155 ms 33044 KB Output is correct
24 Correct 93 ms 32268 KB Output is correct
25 Correct 226 ms 34324 KB Output is correct
26 Correct 114 ms 37044 KB Output is correct
27 Correct 202 ms 57228 KB Output is correct
28 Correct 691 ms 64676 KB Output is correct
29 Correct 735 ms 64076 KB Output is correct
30 Correct 233 ms 57276 KB Output is correct
31 Correct 197 ms 57160 KB Output is correct
32 Correct 323 ms 57388 KB Output is correct
33 Correct 493 ms 56360 KB Output is correct
34 Correct 559 ms 57208 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 8148 KB Output is correct
2 Correct 5 ms 8148 KB Output is correct
3 Correct 7 ms 8152 KB Output is correct
4 Correct 5 ms 8100 KB Output is correct
5 Correct 5 ms 8104 KB Output is correct
6 Correct 5 ms 8148 KB Output is correct
7 Correct 5 ms 8148 KB Output is correct
8 Correct 6 ms 8104 KB Output is correct
9 Correct 5 ms 8148 KB Output is correct
10 Correct 5 ms 8148 KB Output is correct
11 Correct 6 ms 8020 KB Output is correct
12 Correct 5 ms 8148 KB Output is correct
13 Correct 6 ms 8148 KB Output is correct
14 Correct 5 ms 8144 KB Output is correct
15 Correct 5 ms 8104 KB Output is correct
16 Correct 5 ms 8108 KB Output is correct
17 Correct 5 ms 8100 KB Output is correct
18 Correct 6 ms 8104 KB Output is correct
19 Correct 5 ms 8020 KB Output is correct
20 Correct 5 ms 8148 KB Output is correct
21 Correct 6 ms 8276 KB Output is correct
22 Correct 6 ms 8276 KB Output is correct
23 Correct 6 ms 8360 KB Output is correct
24 Correct 6 ms 8276 KB Output is correct
25 Correct 6 ms 8364 KB Output is correct
26 Correct 6 ms 8276 KB Output is correct
27 Correct 6 ms 8276 KB Output is correct
28 Correct 6 ms 8276 KB Output is correct
29 Correct 9 ms 8276 KB Output is correct
30 Correct 6 ms 8276 KB Output is correct
31 Correct 6 ms 8276 KB Output is correct
32 Correct 6 ms 8376 KB Output is correct
33 Correct 7 ms 8276 KB Output is correct
34 Correct 6 ms 8244 KB Output is correct
35 Correct 6 ms 8404 KB Output is correct
36 Correct 6 ms 8276 KB Output is correct
37 Correct 6 ms 8236 KB Output is correct
38 Correct 6 ms 8344 KB Output is correct
39 Correct 165 ms 32720 KB Output is correct
40 Correct 175 ms 32716 KB Output is correct
41 Correct 149 ms 32972 KB Output is correct
42 Correct 153 ms 33412 KB Output is correct
43 Correct 155 ms 33044 KB Output is correct
44 Correct 93 ms 32268 KB Output is correct
45 Correct 226 ms 34324 KB Output is correct
46 Correct 114 ms 37044 KB Output is correct
47 Correct 202 ms 57228 KB Output is correct
48 Correct 691 ms 64676 KB Output is correct
49 Correct 735 ms 64076 KB Output is correct
50 Correct 233 ms 57276 KB Output is correct
51 Correct 197 ms 57160 KB Output is correct
52 Correct 323 ms 57388 KB Output is correct
53 Correct 493 ms 56360 KB Output is correct
54 Correct 559 ms 57208 KB Output is correct
55 Correct 16 ms 10656 KB Output is correct
56 Correct 17 ms 10664 KB Output is correct
57 Correct 99 ms 33720 KB Output is correct
58 Correct 57 ms 32668 KB Output is correct
59 Correct 107 ms 37016 KB Output is correct
60 Correct 850 ms 65512 KB Output is correct
61 Correct 212 ms 57676 KB Output is correct
62 Correct 221 ms 58344 KB Output is correct
63 Correct 306 ms 58316 KB Output is correct
64 Correct 550 ms 59288 KB Output is correct
65 Correct 392 ms 58292 KB Output is correct
66 Correct 805 ms 62940 KB Output is correct
67 Correct 190 ms 58752 KB Output is correct
68 Correct 328 ms 57964 KB Output is correct
69 Correct 351 ms 58092 KB Output is correct
70 Correct 280 ms 55656 KB Output is correct