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Submission #1084212

# Submission time Handle Problem Language Result Execution time Memory
1084212 2024-09-05T16:00:02 Z NHristov Race (IOI11_race) C++17
100 / 100
 272 ms 38020 KB 
#include "race.h"
#include <bits/stdc++.h>
///#include "grader.cpp"

using namespace std;

const int N_max = 2e5 + 2;
const int K_max = 1e6 + 2;
const int INF = 1e9 + 7;

vector < pair <int, int> > g[N_max];
bool vis[N_max];
int sz[N_max], k;
int ans;
int br[K_max];

void dfs1(int u, int p)
{
    sz[u] = 1;

    for (auto [v, w] : g[u])
    {
        if (v == p || vis[v])
        {
            continue;
        }

        dfs1(v, u);
        sz[u] += sz[v];
    }
}

int centroid(int u, int p, int n)
{
    for (auto [v, w] : g[u])
    {
        if (v == p || vis[v])
        {
            continue;
        }

        if (sz[v] * 2 > n)
        {
            return centroid(v, u, n);
        }
    }

    return u;
}

void dfs2(int u, int p, int len, int d)
{
    if (len > k)
    {
        return;
    }

    ans = min(ans, d + br[k - len]);

    for (auto [v, w] : g[u])
    {
        if (v == p || vis[v])
        {
            continue;
        }

        dfs2(v, u, len + w, d + 1);
    }
}

void dfs3(int u, int p, int len, int d, vector <int> &tmp)
{
    if (len > k)
    {
        return;
    }

    tmp.push_back(len);
    br[len] = min(br[len], d);

    for (auto [v, w] : g[u])
    {
        if (v == p || vis[v])
        {
            continue;
        }

        dfs3(v, u, len + w, d + 1, tmp);
    }
}

void solve(int u)
{
    dfs1(u, -1);

    vector <int> tmp;

    for (auto [v, w] : g[u])
    {
        if (vis[v])
        {
            continue;
        }

        dfs2(v, u, w, 1);
        dfs3(v, u, w, 1, tmp);
    }

    vis[u] = 1;

    for (auto c : tmp)
    {
        br[c] = INF;
    }

    for (auto [v, w] : g[u])
    {
        if (vis[v])
        {
            continue;
        }

        solve(centroid(v, u, sz[v]));
    }
}

int best_path(int N, int K, int H[][2], int L[])
{
    k = K;
    ans = INF;

    for (int i = 0; i < N - 1; i++)
    {
        int u = H[i][0], v = H[i][1], w = L[i];

        g[u].push_back({v, w});
        g[v].push_back({u, w});
    }

    for (int i = 1; i <= k; i++)
    {
        br[i] = INF;
    }

    dfs1(0, -1);
    solve(centroid(0, -1, sz[0]));

    if (ans == INF)
    {
        return -1;
    }

    return ans;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4952 KB Output is correct
2 Correct 3 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 3 ms 4956 KB Output is correct
5 Correct 2 ms 4956 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 4956 KB Output is correct
8 Correct 2 ms 4956 KB Output is correct
9 Correct 2 ms 5144 KB Output is correct
10 Correct 2 ms 5076 KB Output is correct
11 Correct 2 ms 5052 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 2 ms 4956 KB Output is correct
14 Correct 2 ms 4956 KB Output is correct
15 Correct 2 ms 4956 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 3 ms 4956 KB Output is correct
18 Correct 3 ms 5140 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4952 KB Output is correct
2 Correct 3 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 3 ms 4956 KB Output is correct
5 Correct 2 ms 4956 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 4956 KB Output is correct
8 Correct 2 ms 4956 KB Output is correct
9 Correct 2 ms 5144 KB Output is correct
10 Correct 2 ms 5076 KB Output is correct
11 Correct 2 ms 5052 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 2 ms 4956 KB Output is correct
14 Correct 2 ms 4956 KB Output is correct
15 Correct 2 ms 4956 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 3 ms 4956 KB Output is correct
18 Correct 3 ms 5140 KB Output is correct
19 Correct 3 ms 4956 KB Output is correct
20 Correct 2 ms 4956 KB Output is correct
21 Correct 3 ms 5212 KB Output is correct
22 Correct 5 ms 8796 KB Output is correct
23 Correct 5 ms 8028 KB Output is correct
24 Correct 4 ms 8540 KB Output is correct
25 Correct 4 ms 8284 KB Output is correct
26 Correct 3 ms 6492 KB Output is correct
27 Correct 4 ms 8284 KB Output is correct
28 Correct 3 ms 6024 KB Output is correct
29 Correct 4 ms 6492 KB Output is correct
30 Correct 4 ms 6492 KB Output is correct
31 Correct 4 ms 7772 KB Output is correct
32 Correct 5 ms 7772 KB Output is correct
33 Correct 5 ms 8252 KB Output is correct
34 Correct 3 ms 7516 KB Output is correct
35 Correct 4 ms 8192 KB Output is correct
36 Correct 4 ms 8796 KB Output is correct
37 Correct 4 ms 8284 KB Output is correct
38 Correct 4 ms 7004 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4952 KB Output is correct
2 Correct 3 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 3 ms 4956 KB Output is correct
5 Correct 2 ms 4956 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 4956 KB Output is correct
8 Correct 2 ms 4956 KB Output is correct
9 Correct 2 ms 5144 KB Output is correct
10 Correct 2 ms 5076 KB Output is correct
11 Correct 2 ms 5052 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 2 ms 4956 KB Output is correct
14 Correct 2 ms 4956 KB Output is correct
15 Correct 2 ms 4956 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 3 ms 4956 KB Output is correct
18 Correct 3 ms 5140 KB Output is correct
19 Correct 85 ms 11872 KB Output is correct
20 Correct 88 ms 11860 KB Output is correct
21 Correct 86 ms 12156 KB Output is correct
22 Correct 78 ms 12464 KB Output is correct
23 Correct 55 ms 12120 KB Output is correct
24 Correct 37 ms 11868 KB Output is correct
25 Correct 88 ms 15444 KB Output is correct
26 Correct 66 ms 19888 KB Output is correct
27 Correct 96 ms 18772 KB Output is correct
28 Correct 176 ms 33184 KB Output is correct
29 Correct 155 ms 32084 KB Output is correct
30 Correct 97 ms 19112 KB Output is correct
31 Correct 113 ms 18956 KB Output is correct
32 Correct 120 ms 19000 KB Output is correct
33 Correct 137 ms 17744 KB Output is correct
34 Correct 112 ms 18516 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4952 KB Output is correct
2 Correct 3 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 3 ms 4956 KB Output is correct
5 Correct 2 ms 4956 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 4956 KB Output is correct
8 Correct 2 ms 4956 KB Output is correct
9 Correct 2 ms 5144 KB Output is correct
10 Correct 2 ms 5076 KB Output is correct
11 Correct 2 ms 5052 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 2 ms 4956 KB Output is correct
14 Correct 2 ms 4956 KB Output is correct
15 Correct 2 ms 4956 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 3 ms 4956 KB Output is correct
18 Correct 3 ms 5140 KB Output is correct
19 Correct 3 ms 4956 KB Output is correct
20 Correct 2 ms 4956 KB Output is correct
21 Correct 3 ms 5212 KB Output is correct
22 Correct 5 ms 8796 KB Output is correct
23 Correct 5 ms 8028 KB Output is correct
24 Correct 4 ms 8540 KB Output is correct
25 Correct 4 ms 8284 KB Output is correct
26 Correct 3 ms 6492 KB Output is correct
27 Correct 4 ms 8284 KB Output is correct
28 Correct 3 ms 6024 KB Output is correct
29 Correct 4 ms 6492 KB Output is correct
30 Correct 4 ms 6492 KB Output is correct
31 Correct 4 ms 7772 KB Output is correct
32 Correct 5 ms 7772 KB Output is correct
33 Correct 5 ms 8252 KB Output is correct
34 Correct 3 ms 7516 KB Output is correct
35 Correct 4 ms 8192 KB Output is correct
36 Correct 4 ms 8796 KB Output is correct
37 Correct 4 ms 8284 KB Output is correct
38 Correct 4 ms 7004 KB Output is correct
39 Correct 85 ms 11872 KB Output is correct
40 Correct 88 ms 11860 KB Output is correct
41 Correct 86 ms 12156 KB Output is correct
42 Correct 78 ms 12464 KB Output is correct
43 Correct 55 ms 12120 KB Output is correct
44 Correct 37 ms 11868 KB Output is correct
45 Correct 88 ms 15444 KB Output is correct
46 Correct 66 ms 19888 KB Output is correct
47 Correct 96 ms 18772 KB Output is correct
48 Correct 176 ms 33184 KB Output is correct
49 Correct 155 ms 32084 KB Output is correct
50 Correct 97 ms 19112 KB Output is correct
51 Correct 113 ms 18956 KB Output is correct
52 Correct 120 ms 19000 KB Output is correct
53 Correct 137 ms 17744 KB Output is correct
54 Correct 112 ms 18516 KB Output is correct
55 Correct 8 ms 5720 KB Output is correct
56 Correct 9 ms 5736 KB Output is correct
57 Correct 51 ms 12612 KB Output is correct
58 Correct 24 ms 12496 KB Output is correct
59 Correct 65 ms 20636 KB Output is correct
60 Correct 272 ms 38020 KB Output is correct
61 Correct 106 ms 19388 KB Output is correct
62 Correct 122 ms 23760 KB Output is correct
63 Correct 154 ms 23884 KB Output is correct
64 Correct 255 ms 22728 KB Output is correct
65 Correct 130 ms 19768 KB Output is correct
66 Correct 232 ms 33800 KB Output is correct
67 Correct 62 ms 25168 KB Output is correct
68 Correct 154 ms 24524 KB Output is correct
69 Correct 143 ms 24912 KB Output is correct
70 Correct 126 ms 24008 KB Output is correct