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Submission #363128

# Submission time Handle Problem Language Result Execution time Memory
363128 2021-02-05T05:47:12 Z ijxjdjd Beads and wires (APIO14_beads) C++14
100 / 100
 447 ms 40472 KB 
#include <bits/stdc++.h>
#define FR(i, N) for (int i = 0; i < int(N); i++)
#define all(x) begin(x), end(x)

#define f first
#define s second
using namespace std;

using ll = long long;

const int MAXN = (int)(2e5) + 5;
vector<pair<int, int>> adj[MAXN];
int dp[MAXN][2];
multiset<int> trans[MAXN];
int sm[MAXN];
void dfs(int n, int p, int w) {
    int allSum = 0;
    for (auto& e : adj[n]) {
        if (e.f != p) {
            dfs(e.f, n, e.s);
            trans[n].insert(e.s + dp[e.f][0] - dp[e.f][1]);
            allSum += dp[e.f][1];
        }
    }
    sm[n] = allSum;
    dp[n][0] = allSum;
    dp[n][1] = allSum + (trans[n].size() > 0 ? max(0, *trans[n].rbegin() + w): 0);
}

int ans = 0;
void sol(int n, int p) {
    ans = max(dp[n][0], ans);
    if (trans[n].size() >= 2) {
        ans = max(ans, dp[n][0] + *trans[n].rbegin() + *next(trans[n].rbegin()));
    }
    ans = max(ans, dp[n][0]);
    for (auto e : adj[n]) {
        if (e.f != p) {
            int orin0 = dp[n][0];
            int orin1 = dp[n][1];
            int orinsm = sm[n];
            trans[n].erase(trans[n].find(e.s + dp[e.f][0] - dp[e.f][1]));
            sm[n] -= dp[e.f][1];
            dp[n][0] = sm[n];
            dp[n][1] = sm[n] + (trans[n].size() > 0 ? max(0, *trans[n].rbegin() + e.s): 0);
            int orie0 = dp[e.f][0];
            int orie1 = dp[e.f][1];
            int oriesm = sm[e.f];
            sm[e.f] += dp[n][1];
            dp[e.f][0] = sm[e.f];
            dp[e.f][1] = sm[e.f] + (trans[e.f].size() > 0 ? max(0, *trans[e.f].rbegin() + e.s): 0);
            trans[e.f].insert(e.s + dp[n][0] - dp[n][1]);
            sol(e.f, n);
            trans[e.f].erase(trans[e.f].find(e.s + dp[n][0] - dp[n][1]));
            sm[n] = orinsm;
            dp[n][0] = orin0;
            dp[n][1] = orin1;
            dp[e.f][0] = orie0;
            dp[e.f][1] = orie1;
            sm[e.f] = oriesm;
            trans[n].insert(e.s + dp[e.f][0] - dp[e.f][1]);
        }
    }
}
int main() {
//    freopen("input.in", "r", stdin);
	cin.tie(0);
	cin.sync_with_stdio(0);
	int N;
	cin >> N;
	FR(i, N-1) {
        int u, v, w;
        cin >> u >> v >> w;
        u--, v--;
        adj[u].push_back({v, w});
        adj[v].push_back({u, w});
	}
	dfs(0, 0, 0);
	sol(0, 0);
	cout << ans << '\n';
	return 0;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 14444 KB Output is correct
2 Correct 10 ms 14444 KB Output is correct
3 Correct 10 ms 14444 KB Output is correct
4 Correct 10 ms 14444 KB Output is correct
5 Correct 11 ms 14444 KB Output is correct
6 Correct 11 ms 14444 KB Output is correct
7 Correct 10 ms 14444 KB Output is correct
8 Correct 10 ms 14444 KB Output is correct
9 Correct 10 ms 14444 KB Output is correct
10 Correct 10 ms 14444 KB Output is correct
11 Correct 10 ms 14444 KB Output is correct
12 Correct 10 ms 14444 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 14444 KB Output is correct
2 Correct 10 ms 14444 KB Output is correct
3 Correct 10 ms 14444 KB Output is correct
4 Correct 10 ms 14444 KB Output is correct
5 Correct 11 ms 14444 KB Output is correct
6 Correct 11 ms 14444 KB Output is correct
7 Correct 10 ms 14444 KB Output is correct
8 Correct 10 ms 14444 KB Output is correct
9 Correct 10 ms 14444 KB Output is correct
10 Correct 10 ms 14444 KB Output is correct
11 Correct 10 ms 14444 KB Output is correct
12 Correct 10 ms 14444 KB Output is correct
13 Correct 10 ms 14444 KB Output is correct
14 Correct 10 ms 14444 KB Output is correct
15 Correct 10 ms 14444 KB Output is correct
16 Correct 10 ms 14444 KB Output is correct
17 Correct 10 ms 14444 KB Output is correct
18 Correct 10 ms 14444 KB Output is correct
19 Correct 10 ms 14444 KB Output is correct
20 Correct 10 ms 14444 KB Output is correct
21 Correct 10 ms 14444 KB Output is correct
22 Correct 10 ms 14444 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 14444 KB Output is correct
2 Correct 10 ms 14444 KB Output is correct
3 Correct 10 ms 14444 KB Output is correct
4 Correct 10 ms 14444 KB Output is correct
5 Correct 11 ms 14444 KB Output is correct
6 Correct 11 ms 14444 KB Output is correct
7 Correct 10 ms 14444 KB Output is correct
8 Correct 10 ms 14444 KB Output is correct
9 Correct 10 ms 14444 KB Output is correct
10 Correct 10 ms 14444 KB Output is correct
11 Correct 10 ms 14444 KB Output is correct
12 Correct 10 ms 14444 KB Output is correct
13 Correct 10 ms 14444 KB Output is correct
14 Correct 10 ms 14444 KB Output is correct
15 Correct 10 ms 14444 KB Output is correct
16 Correct 10 ms 14444 KB Output is correct
17 Correct 10 ms 14444 KB Output is correct
18 Correct 10 ms 14444 KB Output is correct
19 Correct 10 ms 14444 KB Output is correct
20 Correct 10 ms 14444 KB Output is correct
21 Correct 10 ms 14444 KB Output is correct
22 Correct 10 ms 14444 KB Output is correct
23 Correct 16 ms 14956 KB Output is correct
24 Correct 14 ms 14976 KB Output is correct
25 Correct 14 ms 14956 KB Output is correct
26 Correct 18 ms 15340 KB Output is correct
27 Correct 19 ms 15340 KB Output is correct
28 Correct 20 ms 15468 KB Output is correct
29 Correct 20 ms 15468 KB Output is correct
30 Correct 25 ms 15468 KB Output is correct
31 Correct 19 ms 15980 KB Output is correct

Subtask #4
43.0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 14444 KB Output is correct
2 Correct 10 ms 14444 KB Output is correct
3 Correct 10 ms 14444 KB Output is correct
4 Correct 10 ms 14444 KB Output is correct
5 Correct 11 ms 14444 KB Output is correct
6 Correct 11 ms 14444 KB Output is correct
7 Correct 10 ms 14444 KB Output is correct
8 Correct 10 ms 14444 KB Output is correct
9 Correct 10 ms 14444 KB Output is correct
10 Correct 10 ms 14444 KB Output is correct
11 Correct 10 ms 14444 KB Output is correct
12 Correct 10 ms 14444 KB Output is correct
13 Correct 10 ms 14444 KB Output is correct
14 Correct 10 ms 14444 KB Output is correct
15 Correct 10 ms 14444 KB Output is correct
16 Correct 10 ms 14444 KB Output is correct
17 Correct 10 ms 14444 KB Output is correct
18 Correct 10 ms 14444 KB Output is correct
19 Correct 10 ms 14444 KB Output is correct
20 Correct 10 ms 14444 KB Output is correct
21 Correct 10 ms 14444 KB Output is correct
22 Correct 10 ms 14444 KB Output is correct
23 Correct 16 ms 14956 KB Output is correct
24 Correct 14 ms 14976 KB Output is correct
25 Correct 14 ms 14956 KB Output is correct
26 Correct 18 ms 15340 KB Output is correct
27 Correct 19 ms 15340 KB Output is correct
28 Correct 20 ms 15468 KB Output is correct
29 Correct 20 ms 15468 KB Output is correct
30 Correct 25 ms 15468 KB Output is correct
31 Correct 19 ms 15980 KB Output is correct
32 Correct 83 ms 19308 KB Output is correct
33 Correct 65 ms 19304 KB Output is correct
34 Correct 74 ms 19428 KB Output is correct
35 Correct 376 ms 33764 KB Output is correct
36 Correct 358 ms 33644 KB Output is correct
37 Correct 358 ms 33752 KB Output is correct
38 Correct 438 ms 34012 KB Output is correct
39 Correct 447 ms 34232 KB Output is correct
40 Correct 412 ms 33876 KB Output is correct
41 Correct 423 ms 40472 KB Output is correct