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Submission #1097828

# Submission time Handle Problem Language Result Execution time Memory
1097828 2024-10-08T09:56:17 Z SiddharthJoshi6263 Race (IOI11_race) C++17
21 / 100
 3000 ms 38484 KB 
#include <bits/stdc++.h>

using namespace std;

#define f first
#define s second
#define pb push_back
#define all(x) x.begin(), x.end()
#define sz(x) (long long)(x).size()
#define pii pair<long long, long long>

long long ANS = LLONG_MAX;

void dfs_sze(long long u, long long par, vector<vector<pii>> &adj, vector<long long> &sze, vector<long long> &len, vector<long long> &depth) {
    sze[u] = 1;
    for (auto v : adj[u]) {
        if (v.f != par) {
            len[v.f] = len[u] + v.s;
            depth[v.f] = depth[u] + 1;
            dfs_sze(v.f, u, adj, sze, len, depth);
            sze[u] += sze[v.f];
        }
    }
}

void small_to_large_merging(long long K, long long u, long long par, vector<long long> &sze, vector<long long> &len, vector<long long> &depth, vector<vector<pii>> &adj, vector<multiset<pii>> &sets) {
    multiset<pii> smalls1, smalls2;
    for (auto x : adj[u]) {
        if (x.f != par) {
            small_to_large_merging(K, x.f, u, sze, len, depth, adj, sets);
            for (auto y : sets[x.f]) {
                long long len1 = y.f - len[u];
                long long dep = y.s - depth[u];
                pii find = {K - len1, -1ll};
                auto it = smalls2.lower_bound(find);
                if (it != smalls2.end()) {
                    if (it->f == find.f) {
                        ANS = min(ANS, dep + it->s);
                    }
                }
            }
            for (auto y : sets[x.f]) {
                smalls1.insert(y);
                smalls2.insert({y.f - len[u], y.s - depth[u]});
            }
          	sets[x.f].clear();
        }
    }
    sets[u] = smalls1;  // Do not clear after this assignment
    sets[u].insert({len[u], depth[u]});  // Include the current node's length and depth

    pii find = {K + len[u], -1ll};
    auto it = sets[u].lower_bound(find);
    if (it != sets[u].end()) {
        if (it->f == find.f) {
            ANS = min(ANS, it->s - depth[u]);
        }
    }
}

int best_path(int N, int k, int H[][2], int L[]) {
    ANS = LLONG_MAX;
    long long n = N, K = k;

    vector<vector<pii>> adj(n);
    for (long long i = 0; i < n - 1; i++) {
        adj[H[i][0]].pb({H[i][1], L[i]});
        adj[H[i][1]].pb({H[i][0], L[i]});
    }

    vector<long long> sze(n, 0);
    vector<long long> len(n, 0);
    vector<long long> depth(n, 0);
    dfs_sze(0, -1, adj, sze, len, depth);

    vector<multiset<pii>> sets(n);
    small_to_large_merging(K, 0, -1, sze, len, depth, adj, sets);

    if (ANS == LLONG_MAX) {
        return -1;
    }
    return ANS;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 2 ms 2396 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 2 ms 348 KB Output is correct
10 Correct 2 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 360 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 2 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 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 2 ms 2396 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 2 ms 348 KB Output is correct
10 Correct 2 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 360 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 2 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 3 ms 2652 KB Output is correct
22 Correct 6 ms 600 KB Output is correct
23 Correct 5 ms 2652 KB Output is correct
24 Correct 3 ms 2812 KB Output is correct
25 Correct 2 ms 2652 KB Output is correct
26 Correct 3 ms 2744 KB Output is correct
27 Correct 2 ms 2652 KB Output is correct
28 Correct 4 ms 2648 KB Output is correct
29 Correct 2 ms 2652 KB Output is correct
30 Correct 2 ms 2652 KB Output is correct
31 Correct 4 ms 2652 KB Output is correct
32 Correct 2 ms 2652 KB Output is correct
33 Correct 4 ms 2680 KB Output is correct
34 Correct 15 ms 2648 KB Output is correct
35 Correct 33 ms 2648 KB Output is correct
36 Correct 20 ms 2808 KB Output is correct
37 Correct 10 ms 2820 KB Output is correct
38 Correct 7 ms 2812 KB Output is correct

Subtask #3
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 2 ms 2396 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 2 ms 348 KB Output is correct
10 Correct 2 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 360 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 2 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 735 ms 37968 KB Output is correct
20 Correct 786 ms 37972 KB Output is correct
21 Correct 609 ms 37972 KB Output is correct
22 Correct 592 ms 37968 KB Output is correct
23 Correct 808 ms 38484 KB Output is correct
24 Correct 399 ms 37532 KB Output is correct
25 Execution timed out 3080 ms 37304 KB Time limit exceeded
26 Halted 0 ms 0 KB -

Subtask #4
0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 2 ms 2396 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 2 ms 348 KB Output is correct
10 Correct 2 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 360 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 2 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 3 ms 2652 KB Output is correct
22 Correct 6 ms 600 KB Output is correct
23 Correct 5 ms 2652 KB Output is correct
24 Correct 3 ms 2812 KB Output is correct
25 Correct 2 ms 2652 KB Output is correct
26 Correct 3 ms 2744 KB Output is correct
27 Correct 2 ms 2652 KB Output is correct
28 Correct 4 ms 2648 KB Output is correct
29 Correct 2 ms 2652 KB Output is correct
30 Correct 2 ms 2652 KB Output is correct
31 Correct 4 ms 2652 KB Output is correct
32 Correct 2 ms 2652 KB Output is correct
33 Correct 4 ms 2680 KB Output is correct
34 Correct 15 ms 2648 KB Output is correct
35 Correct 33 ms 2648 KB Output is correct
36 Correct 20 ms 2808 KB Output is correct
37 Correct 10 ms 2820 KB Output is correct
38 Correct 7 ms 2812 KB Output is correct
39 Correct 735 ms 37968 KB Output is correct
40 Correct 786 ms 37972 KB Output is correct
41 Correct 609 ms 37972 KB Output is correct
42 Correct 592 ms 37968 KB Output is correct
43 Correct 808 ms 38484 KB Output is correct
44 Correct 399 ms 37532 KB Output is correct
45 Execution timed out 3080 ms 37304 KB Time limit exceeded
46 Halted 0 ms 0 KB -