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Submission #752019

# Submission time Handle Problem Language Result Execution time Memory
752019 2023-06-02T05:27:59 Z vjudge1 Beads and wires (APIO14_beads) C++17
100 / 100
 193 ms 36656 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 5076 KB Output is correct
3 Correct 2 ms 5076 KB Output is correct
4 Correct 3 ms 5024 KB Output is correct
5 Correct 4 ms 5024 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 5076 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 4 ms 4948 KB Output is correct
11 Correct 3 ms 4948 KB Output is correct
12 Correct 3 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 5076 KB Output is correct
3 Correct 2 ms 5076 KB Output is correct
4 Correct 3 ms 5024 KB Output is correct
5 Correct 4 ms 5024 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 5076 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 4 ms 4948 KB Output is correct
11 Correct 3 ms 4948 KB Output is correct
12 Correct 3 ms 4948 KB Output is correct
13 Correct 3 ms 5076 KB Output is correct
14 Correct 3 ms 5076 KB Output is correct
15 Correct 3 ms 5076 KB Output is correct
16 Correct 3 ms 5092 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 5076 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 5076 KB Output is correct
3 Correct 2 ms 5076 KB Output is correct
4 Correct 3 ms 5024 KB Output is correct
5 Correct 4 ms 5024 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 5076 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 4 ms 4948 KB Output is correct
11 Correct 3 ms 4948 KB Output is correct
12 Correct 3 ms 4948 KB Output is correct
13 Correct 3 ms 5076 KB Output is correct
14 Correct 3 ms 5076 KB Output is correct
15 Correct 3 ms 5076 KB Output is correct
16 Correct 3 ms 5092 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 5076 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 6 ms 5648 KB Output is correct
24 Correct 7 ms 5684 KB Output is correct
25 Correct 5 ms 5716 KB Output is correct
26 Correct 8 ms 6356 KB Output is correct
27 Correct 8 ms 6492 KB Output is correct
28 Correct 6 ms 6352 KB Output is correct
29 Correct 7 ms 6228 KB Output is correct
30 Correct 6 ms 6356 KB Output is correct
31 Correct 7 ms 6740 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 5076 KB Output is correct
3 Correct 2 ms 5076 KB Output is correct
4 Correct 3 ms 5024 KB Output is correct
5 Correct 4 ms 5024 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 5076 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 4 ms 4948 KB Output is correct
11 Correct 3 ms 4948 KB Output is correct
12 Correct 3 ms 4948 KB Output is correct
13 Correct 3 ms 5076 KB Output is correct
14 Correct 3 ms 5076 KB Output is correct
15 Correct 3 ms 5076 KB Output is correct
16 Correct 3 ms 5092 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 5076 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 6 ms 5648 KB Output is correct
24 Correct 7 ms 5684 KB Output is correct
25 Correct 5 ms 5716 KB Output is correct
26 Correct 8 ms 6356 KB Output is correct
27 Correct 8 ms 6492 KB Output is correct
28 Correct 6 ms 6352 KB Output is correct
29 Correct 7 ms 6228 KB Output is correct
30 Correct 6 ms 6356 KB Output is correct
31 Correct 7 ms 6740 KB Output is correct
32 Correct 38 ms 11916 KB Output is correct
33 Correct 39 ms 11852 KB Output is correct
34 Correct 33 ms 11824 KB Output is correct
35 Correct 188 ms 32760 KB Output is correct
36 Correct 193 ms 32868 KB Output is correct
37 Correct 182 ms 32768 KB Output is correct
38 Correct 119 ms 32140 KB Output is correct
39 Correct 121 ms 30460 KB Output is correct
40 Correct 138 ms 32040 KB Output is correct
41 Correct 173 ms 36656 KB Output is correct