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Submission #924992

# Submission time Handle Problem Language Result Execution time Memory
924992 2024-02-10T10:32:35 Z thinknoexit Beads and wires (APIO14_beads) C++17
100 / 100
 104 ms 29020 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 200200;
const ll INF = 5e17;
vector<pair<int, int>> adj[N];
ll dp[4][N];
void dfs(int v, int p = -1) {
    ll mx0 = 0;
    pair<ll, int> mxr[2] = { {-INF,0}, {-INF,0} };
    pair<ll, int> mxb[2] = { {-INF,0}, {-INF,0} };
    for (auto& [x, w] : adj[v]) {
        if (x == p) continue;
        dfs(x, v);
        ll val = max(dp[1][x], dp[2][x] + w);
        dp[0][v] += val;
        dp[1][v] += val;
        dp[2][v] += val;
        dp[3][v] += val;
        mx0 = max(mx0, max(dp[0][x], dp[3][x] + w) - val);
        mxr[1] = max(mxr[1], { dp[1][x] + w - val, x });
        mxb[1] = max(mxb[1], { dp[0][x] + w - val, x });
        if (mxr[0] < mxr[1]) swap(mxr[0], mxr[1]);
        if (mxb[0] < mxb[1]) swap(mxb[0], mxb[1]);
    }
    ll mx1;
    if (mxr[0].second != mxb[0].second) mx1 = mxr[0].first + mxb[0].first;
    else mx1 = max(mxr[0].first + mxb[1].first, mxr[1].first + mxb[0].first);
    dp[0][v] += max(mx0, mx1);
    dp[2][v] += mxr[0].first;
    dp[3][v] += mxb[0].first;
}
int main() {
    cin.tie(nullptr)->sync_with_stdio(false);
    int n;
    cin >> n;
    for (int i = 1;i < n;i++) {
        int u, v, w;
        cin >> u >> v >> w;
        adj[u].push_back({ v, w });
        adj[v].push_back({ u, w });
    }
    dfs(1);
    cout << max(dp[0][1], dp[1][1]);
    return 0;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9052 KB Output is correct
2 Correct 2 ms 9052 KB Output is correct
3 Correct 2 ms 9052 KB Output is correct
4 Correct 3 ms 9308 KB Output is correct
5 Correct 2 ms 9140 KB Output is correct
6 Correct 2 ms 9052 KB Output is correct
7 Correct 2 ms 9052 KB Output is correct
8 Correct 2 ms 9192 KB Output is correct
9 Correct 2 ms 9052 KB Output is correct
10 Correct 2 ms 9052 KB Output is correct
11 Correct 2 ms 9052 KB Output is correct
12 Correct 2 ms 9192 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9052 KB Output is correct
2 Correct 2 ms 9052 KB Output is correct
3 Correct 2 ms 9052 KB Output is correct
4 Correct 3 ms 9308 KB Output is correct
5 Correct 2 ms 9140 KB Output is correct
6 Correct 2 ms 9052 KB Output is correct
7 Correct 2 ms 9052 KB Output is correct
8 Correct 2 ms 9192 KB Output is correct
9 Correct 2 ms 9052 KB Output is correct
10 Correct 2 ms 9052 KB Output is correct
11 Correct 2 ms 9052 KB Output is correct
12 Correct 2 ms 9192 KB Output is correct
13 Correct 2 ms 9048 KB Output is correct
14 Correct 3 ms 9052 KB Output is correct
15 Correct 2 ms 9052 KB Output is correct
16 Correct 3 ms 9308 KB Output is correct
17 Correct 2 ms 9096 KB Output is correct
18 Correct 2 ms 9052 KB Output is correct
19 Correct 2 ms 9048 KB Output is correct
20 Correct 2 ms 9052 KB Output is correct
21 Correct 2 ms 9052 KB Output is correct
22 Correct 2 ms 9140 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9052 KB Output is correct
2 Correct 2 ms 9052 KB Output is correct
3 Correct 2 ms 9052 KB Output is correct
4 Correct 3 ms 9308 KB Output is correct
5 Correct 2 ms 9140 KB Output is correct
6 Correct 2 ms 9052 KB Output is correct
7 Correct 2 ms 9052 KB Output is correct
8 Correct 2 ms 9192 KB Output is correct
9 Correct 2 ms 9052 KB Output is correct
10 Correct 2 ms 9052 KB Output is correct
11 Correct 2 ms 9052 KB Output is correct
12 Correct 2 ms 9192 KB Output is correct
13 Correct 2 ms 9048 KB Output is correct
14 Correct 3 ms 9052 KB Output is correct
15 Correct 2 ms 9052 KB Output is correct
16 Correct 3 ms 9308 KB Output is correct
17 Correct 2 ms 9096 KB Output is correct
18 Correct 2 ms 9052 KB Output is correct
19 Correct 2 ms 9048 KB Output is correct
20 Correct 2 ms 9052 KB Output is correct
21 Correct 2 ms 9052 KB Output is correct
22 Correct 2 ms 9140 KB Output is correct
23 Correct 3 ms 9304 KB Output is correct
24 Correct 3 ms 9304 KB Output is correct
25 Correct 3 ms 9308 KB Output is correct
26 Correct 6 ms 9820 KB Output is correct
27 Correct 6 ms 9820 KB Output is correct
28 Correct 4 ms 9820 KB Output is correct
29 Correct 4 ms 9564 KB Output is correct
30 Correct 4 ms 10072 KB Output is correct
31 Correct 5 ms 10328 KB Output is correct

Subtask #4
43.0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9052 KB Output is correct
2 Correct 2 ms 9052 KB Output is correct
3 Correct 2 ms 9052 KB Output is correct
4 Correct 3 ms 9308 KB Output is correct
5 Correct 2 ms 9140 KB Output is correct
6 Correct 2 ms 9052 KB Output is correct
7 Correct 2 ms 9052 KB Output is correct
8 Correct 2 ms 9192 KB Output is correct
9 Correct 2 ms 9052 KB Output is correct
10 Correct 2 ms 9052 KB Output is correct
11 Correct 2 ms 9052 KB Output is correct
12 Correct 2 ms 9192 KB Output is correct
13 Correct 2 ms 9048 KB Output is correct
14 Correct 3 ms 9052 KB Output is correct
15 Correct 2 ms 9052 KB Output is correct
16 Correct 3 ms 9308 KB Output is correct
17 Correct 2 ms 9096 KB Output is correct
18 Correct 2 ms 9052 KB Output is correct
19 Correct 2 ms 9048 KB Output is correct
20 Correct 2 ms 9052 KB Output is correct
21 Correct 2 ms 9052 KB Output is correct
22 Correct 2 ms 9140 KB Output is correct
23 Correct 3 ms 9304 KB Output is correct
24 Correct 3 ms 9304 KB Output is correct
25 Correct 3 ms 9308 KB Output is correct
26 Correct 6 ms 9820 KB Output is correct
27 Correct 6 ms 9820 KB Output is correct
28 Correct 4 ms 9820 KB Output is correct
29 Correct 4 ms 9564 KB Output is correct
30 Correct 4 ms 10072 KB Output is correct
31 Correct 5 ms 10328 KB Output is correct
32 Correct 18 ms 13912 KB Output is correct
33 Correct 23 ms 12484 KB Output is correct
34 Correct 20 ms 13652 KB Output is correct
35 Correct 90 ms 22164 KB Output is correct
36 Correct 91 ms 21932 KB Output is correct
37 Correct 102 ms 22108 KB Output is correct
38 Correct 78 ms 22720 KB Output is correct
39 Correct 62 ms 22576 KB Output is correct
40 Correct 67 ms 22456 KB Output is correct
41 Correct 104 ms 29020 KB Output is correct