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Submission #752021

# Submission time Handle Problem Language Result Execution time Memory
752021 2023-06-02T05:28:23 Z boyliguanhan Beads and wires (APIO14_beads) C++17
100 / 100
 191 ms 33104 KB 
#include<bits/stdc++.h>
#define N 200100
#define int long long
using namespace std;
int n,f[N], a3[N],dp[N][2],dp2[N][2], a1[N],a2[N], bst[N],I=1e18;
vector<pair<int, int>> adj[N];
void dfs(int x){
	dp[x][0]=0;
	int m1=I,m2=I+1;
	for(auto [i,j]:adj[x])
        if(f[x]!=i){
            a3[i]=j;
            f[i]=x,dfs(i);
            int m=max(dp[i][1]+j,dp[i][0]);
            dp[x][0]+=m,m-=(dp[i][0]+j);
            if(m<m1)
                m2=m1,m1=m,bst[x]=i;
            else if(m<m2)
                m2=m;
        }
	a1[x]=m1,a2[x]=m2,dp[x][1]=dp[x][0]-a1[x];
}
void dfs2(int x){
	for(auto [i, j]:adj[x])
        if(i!=f[x]){
            dp2[i][0]=dp[x][0]-max(dp[i][1]+j,dp[i][0]);
            if(x>1)dp2[i][0]+=max(dp2[x][1]+a3[x],dp2[x][0]);
            int M=((bst[x]==i)?a2[x]:a1[x]);
            if(x>1)M=min(M,max(dp2[x][1]+a3[x],dp2[x][0])-(dp2[x][0]+a3[x]));
            dp2[i][1]=dp2[i][0]-M;
            dfs2(i);
        }
}
signed main(){
    cin.sync_with_stdio(false);
    cin.tie(nullptr);
	cin >> n;
	for(int i=1;i<n;i++){
        int a, b, c;
		cin >> a >> b >> c;
        adj[a].push_back({b, c});
        adj[b].push_back({a, c});
	}
	dfs(1);
	dfs2(1);
	int ans=-I;
	for(int i=1;i<=n;i++){
		int temp=dp[i][0];
		if(i > 1)
            temp+=max(dp2[i][0],dp2[i][1]+a3[i]);
		ans=max(ans,temp);
	}
	cout << ans << '\n';
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 4 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 3 ms 5076 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 4 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 4948 KB Output is correct
12 Correct 2 ms 4948 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 4 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 3 ms 5076 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 4 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 4948 KB Output is correct
12 Correct 2 ms 4948 KB Output is correct
13 Correct 3 ms 5076 KB Output is correct
14 Correct 2 ms 5076 KB Output is correct
15 Correct 3 ms 5076 KB Output is correct
16 Correct 2 ms 5076 KB Output is correct
17 Correct 3 ms 5076 KB Output is correct
18 Correct 3 ms 5076 KB Output is correct
19 Correct 3 ms 5028 KB Output is correct
20 Correct 4 ms 5076 KB Output is correct
21 Correct 3 ms 5076 KB Output is correct
22 Correct 3 ms 5076 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 4 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 3 ms 5076 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 4 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 4948 KB Output is correct
12 Correct 2 ms 4948 KB Output is correct
13 Correct 3 ms 5076 KB Output is correct
14 Correct 2 ms 5076 KB Output is correct
15 Correct 3 ms 5076 KB Output is correct
16 Correct 2 ms 5076 KB Output is correct
17 Correct 3 ms 5076 KB Output is correct
18 Correct 3 ms 5076 KB Output is correct
19 Correct 3 ms 5028 KB Output is correct
20 Correct 4 ms 5076 KB Output is correct
21 Correct 3 ms 5076 KB Output is correct
22 Correct 3 ms 5076 KB Output is correct
23 Correct 4 ms 5588 KB Output is correct
24 Correct 5 ms 5716 KB Output is correct
25 Correct 4 ms 5672 KB Output is correct
26 Correct 7 ms 6228 KB Output is correct
27 Correct 7 ms 6228 KB Output is correct
28 Correct 6 ms 6224 KB Output is correct
29 Correct 6 ms 6100 KB Output is correct
30 Correct 6 ms 6228 KB Output is correct
31 Correct 7 ms 6580 KB Output is correct

Subtask #4
43.0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 4 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 4948 KB Output is correct
7 Correct 3 ms 5076 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 4 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 4948 KB Output is correct
12 Correct 2 ms 4948 KB Output is correct
13 Correct 3 ms 5076 KB Output is correct
14 Correct 2 ms 5076 KB Output is correct
15 Correct 3 ms 5076 KB Output is correct
16 Correct 2 ms 5076 KB Output is correct
17 Correct 3 ms 5076 KB Output is correct
18 Correct 3 ms 5076 KB Output is correct
19 Correct 3 ms 5028 KB Output is correct
20 Correct 4 ms 5076 KB Output is correct
21 Correct 3 ms 5076 KB Output is correct
22 Correct 3 ms 5076 KB Output is correct
23 Correct 4 ms 5588 KB Output is correct
24 Correct 5 ms 5716 KB Output is correct
25 Correct 4 ms 5672 KB Output is correct
26 Correct 7 ms 6228 KB Output is correct
27 Correct 7 ms 6228 KB Output is correct
28 Correct 6 ms 6224 KB Output is correct
29 Correct 6 ms 6100 KB Output is correct
30 Correct 6 ms 6228 KB Output is correct
31 Correct 7 ms 6580 KB Output is correct
32 Correct 38 ms 11148 KB Output is correct
33 Correct 47 ms 11048 KB Output is correct
34 Correct 47 ms 11124 KB Output is correct
35 Correct 189 ms 29356 KB Output is correct
36 Correct 185 ms 29352 KB Output is correct
37 Correct 191 ms 29376 KB Output is correct
38 Correct 134 ms 28612 KB Output is correct
39 Correct 121 ms 26928 KB Output is correct
40 Correct 116 ms 28500 KB Output is correct
41 Correct 172 ms 33104 KB Output is correct