oj.uz

Submission #805304

# Submission time Handle Problem Language Result Execution time Memory
805304 2023-08-03T14:58:58 Z Kerim Race (IOI11_race) C++17
100 / 100
 347 ms 122516 KB 
#include "race.h"
#include "bits/stdc++.h"
#define ll long long

using namespace std;

typedef pair<int, int> pii;
const int N = 2e5+5;
const int INF = 1e9;
vector<pii> adj[N];
int K, answer;
int dp[N][105];

void dfs(int nd, int pr){
    dp[nd][0] = 0;
    for (int i = 1; i <= K; i++)
        dp[nd][i] = INF;
    for (auto [c, e]: adj[nd]){
        if (c == pr)
            continue;
        dfs(c, nd);
        //update answer
        for (int w1 = 0; w1 + e <= K; w1++){
            int w2 = K - e - w1;
            answer = min(answer, dp[nd][w1] + dp[c][w2]+1);
        }
        //update dp
        for (int p = 0; p+e <= K; p++)
            dp[nd][p+e] = min(dp[nd][p+e],dp[c][p]+1);
    }
}

void dfs1(int nd, int pr, int lvl, ll weight){
    if (weight == K)
        answer = min(answer, lvl);
    if (weight >= K)
        return;
    for (auto [c, e]: adj[nd]){
        if (c == pr)
            continue;
        dfs1(c, nd, lvl+1, weight+e);
    }
}

map<ll, int> m[N];
void dfs2(int nd, int pr, ll W, int L){
    m[nd].clear();
    m[nd][W] = L;
    for (auto [c, e]: adj[nd]){
        if (c == pr)
            continue;
        dfs2(c, nd, W+e, L+1);
        if (m[nd].size() < m[c].size())
            swap(m[nd], m[c]);
        //update answer
        for (auto [w1, l1]: m[c]){
            int w2 = K - w1 + 2*W;
            if (m[nd].find(w2) != m[nd].end()){
                int l2 = m[nd][w2];
                answer = min(answer, l1 + l2 - 2*L); 
            }
        }
        //update map
        for (auto [w1, l1]: m[c]){
            if (m[nd].find(w1) == m[nd].end())
                m[nd][w1] = l1;
            else
                m[nd][w1] = min(m[nd][w1], l1);
        }
        m[c].clear();
    }
}
int best_path(int n, int k, int H[][2], int L[]){
    K = k;
    answer = INF;
    for (int i = 0; i < n - 1; i++){
        int u = H[i][0], v = H[i][1], w = L[i];
        adj[u].push_back({v, w});
        adj[v].push_back({u, w});
    }
    if (k <= 100) //subtask 1 and 3
        dfs(1, -1);
    else if(n <= 1000){ //subtask 2
        for (int i = 0; i < n; i++)
            dfs1(i, -1, 0, 0);
    }
    else{
        dfs2(1, -1, 0, 0);
    }
    if (answer == INF)
        answer = -1;
    return answer;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14420 KB Output is correct
2 Correct 6 ms 14420 KB Output is correct
3 Correct 6 ms 14420 KB Output is correct
4 Correct 6 ms 14420 KB Output is correct
5 Correct 6 ms 14420 KB Output is correct
6 Correct 7 ms 14420 KB Output is correct
7 Correct 7 ms 14420 KB Output is correct
8 Correct 7 ms 14420 KB Output is correct
9 Correct 9 ms 14420 KB Output is correct
10 Correct 6 ms 14420 KB Output is correct
11 Correct 6 ms 14464 KB Output is correct
12 Correct 7 ms 14420 KB Output is correct
13 Correct 6 ms 14392 KB Output is correct
14 Correct 6 ms 14420 KB Output is correct
15 Correct 8 ms 14468 KB Output is correct
16 Correct 7 ms 14352 KB Output is correct
17 Correct 7 ms 14420 KB Output is correct
18 Correct 6 ms 14420 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14420 KB Output is correct
2 Correct 6 ms 14420 KB Output is correct
3 Correct 6 ms 14420 KB Output is correct
4 Correct 6 ms 14420 KB Output is correct
5 Correct 6 ms 14420 KB Output is correct
6 Correct 7 ms 14420 KB Output is correct
7 Correct 7 ms 14420 KB Output is correct
8 Correct 7 ms 14420 KB Output is correct
9 Correct 9 ms 14420 KB Output is correct
10 Correct 6 ms 14420 KB Output is correct
11 Correct 6 ms 14464 KB Output is correct
12 Correct 7 ms 14420 KB Output is correct
13 Correct 6 ms 14392 KB Output is correct
14 Correct 6 ms 14420 KB Output is correct
15 Correct 8 ms 14468 KB Output is correct
16 Correct 7 ms 14352 KB Output is correct
17 Correct 7 ms 14420 KB Output is correct
18 Correct 6 ms 14420 KB Output is correct
19 Correct 7 ms 14292 KB Output is correct
20 Correct 6 ms 14420 KB Output is correct
21 Correct 17 ms 14344 KB Output is correct
22 Correct 7 ms 14420 KB Output is correct
23 Correct 7 ms 14420 KB Output is correct
24 Correct 7 ms 14420 KB Output is correct
25 Correct 17 ms 14420 KB Output is correct
26 Correct 9 ms 14548 KB Output is correct
27 Correct 7 ms 14420 KB Output is correct
28 Correct 9 ms 14420 KB Output is correct
29 Correct 12 ms 14420 KB Output is correct
30 Correct 13 ms 14420 KB Output is correct
31 Correct 18 ms 14456 KB Output is correct
32 Correct 17 ms 14460 KB Output is correct
33 Correct 15 ms 14460 KB Output is correct
34 Correct 7 ms 14420 KB Output is correct
35 Correct 8 ms 14420 KB Output is correct
36 Correct 7 ms 14404 KB Output is correct
37 Correct 11 ms 14420 KB Output is correct
38 Correct 13 ms 14464 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14420 KB Output is correct
2 Correct 6 ms 14420 KB Output is correct
3 Correct 6 ms 14420 KB Output is correct
4 Correct 6 ms 14420 KB Output is correct
5 Correct 6 ms 14420 KB Output is correct
6 Correct 7 ms 14420 KB Output is correct
7 Correct 7 ms 14420 KB Output is correct
8 Correct 7 ms 14420 KB Output is correct
9 Correct 9 ms 14420 KB Output is correct
10 Correct 6 ms 14420 KB Output is correct
11 Correct 6 ms 14464 KB Output is correct
12 Correct 7 ms 14420 KB Output is correct
13 Correct 6 ms 14392 KB Output is correct
14 Correct 6 ms 14420 KB Output is correct
15 Correct 8 ms 14468 KB Output is correct
16 Correct 7 ms 14352 KB Output is correct
17 Correct 7 ms 14420 KB Output is correct
18 Correct 6 ms 14420 KB Output is correct
19 Correct 99 ms 60316 KB Output is correct
20 Correct 101 ms 60280 KB Output is correct
21 Correct 108 ms 60304 KB Output is correct
22 Correct 114 ms 60336 KB Output is correct
23 Correct 84 ms 60564 KB Output is correct
24 Correct 80 ms 60464 KB Output is correct
25 Correct 112 ms 68352 KB Output is correct
26 Correct 74 ms 69064 KB Output is correct
27 Correct 153 ms 105956 KB Output is correct
28 Correct 201 ms 122516 KB Output is correct
29 Correct 232 ms 116360 KB Output is correct
30 Correct 172 ms 105928 KB Output is correct
31 Correct 153 ms 105880 KB Output is correct
32 Correct 217 ms 105876 KB Output is correct
33 Correct 188 ms 104960 KB Output is correct
34 Correct 147 ms 104512 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14420 KB Output is correct
2 Correct 6 ms 14420 KB Output is correct
3 Correct 6 ms 14420 KB Output is correct
4 Correct 6 ms 14420 KB Output is correct
5 Correct 6 ms 14420 KB Output is correct
6 Correct 7 ms 14420 KB Output is correct
7 Correct 7 ms 14420 KB Output is correct
8 Correct 7 ms 14420 KB Output is correct
9 Correct 9 ms 14420 KB Output is correct
10 Correct 6 ms 14420 KB Output is correct
11 Correct 6 ms 14464 KB Output is correct
12 Correct 7 ms 14420 KB Output is correct
13 Correct 6 ms 14392 KB Output is correct
14 Correct 6 ms 14420 KB Output is correct
15 Correct 8 ms 14468 KB Output is correct
16 Correct 7 ms 14352 KB Output is correct
17 Correct 7 ms 14420 KB Output is correct
18 Correct 6 ms 14420 KB Output is correct
19 Correct 7 ms 14292 KB Output is correct
20 Correct 6 ms 14420 KB Output is correct
21 Correct 17 ms 14344 KB Output is correct
22 Correct 7 ms 14420 KB Output is correct
23 Correct 7 ms 14420 KB Output is correct
24 Correct 7 ms 14420 KB Output is correct
25 Correct 17 ms 14420 KB Output is correct
26 Correct 9 ms 14548 KB Output is correct
27 Correct 7 ms 14420 KB Output is correct
28 Correct 9 ms 14420 KB Output is correct
29 Correct 12 ms 14420 KB Output is correct
30 Correct 13 ms 14420 KB Output is correct
31 Correct 18 ms 14456 KB Output is correct
32 Correct 17 ms 14460 KB Output is correct
33 Correct 15 ms 14460 KB Output is correct
34 Correct 7 ms 14420 KB Output is correct
35 Correct 8 ms 14420 KB Output is correct
36 Correct 7 ms 14404 KB Output is correct
37 Correct 11 ms 14420 KB Output is correct
38 Correct 13 ms 14464 KB Output is correct
39 Correct 99 ms 60316 KB Output is correct
40 Correct 101 ms 60280 KB Output is correct
41 Correct 108 ms 60304 KB Output is correct
42 Correct 114 ms 60336 KB Output is correct
43 Correct 84 ms 60564 KB Output is correct
44 Correct 80 ms 60464 KB Output is correct
45 Correct 112 ms 68352 KB Output is correct
46 Correct 74 ms 69064 KB Output is correct
47 Correct 153 ms 105956 KB Output is correct
48 Correct 201 ms 122516 KB Output is correct
49 Correct 232 ms 116360 KB Output is correct
50 Correct 172 ms 105928 KB Output is correct
51 Correct 153 ms 105880 KB Output is correct
52 Correct 217 ms 105876 KB Output is correct
53 Correct 188 ms 104960 KB Output is correct
54 Correct 147 ms 104512 KB Output is correct
55 Correct 16 ms 15316 KB Output is correct
56 Correct 12 ms 14928 KB Output is correct
57 Correct 58 ms 61832 KB Output is correct
58 Correct 48 ms 20492 KB Output is correct
59 Correct 71 ms 45000 KB Output is correct
60 Correct 226 ms 62916 KB Output is correct
61 Correct 150 ms 29296 KB Output is correct
62 Correct 120 ms 27600 KB Output is correct
63 Correct 150 ms 27684 KB Output is correct
64 Correct 347 ms 36572 KB Output is correct
65 Correct 331 ms 40740 KB Output is correct
66 Correct 216 ms 72340 KB Output is correct
67 Correct 116 ms 27964 KB Output is correct
68 Correct 258 ms 38704 KB Output is correct
69 Correct 259 ms 43320 KB Output is correct
70 Correct 248 ms 37704 KB Output is correct