Title Description Description
There is an apple tree, if the branch has a fork, it must be divided into 2 forks (that is, there are no only 1 sons of nodes) this tree has N nodes (Leaf Point or Branch fork Point), numbered 1-n, the root number must be 1. We describe the position of a branch with the number of nodes connected at each end of a branch. Now there are too many branches to prune. But some branches have apples on them.
Given the number of branches that need to be retained, find out how many apples you can keep.
Enter a description input Description
The 1th line is 2 digits, N and Q (1<=q<= n,1<n<=100).
n represents the number of nodes in the tree, and Q indicates how many branches to keep. Next, the N-1 line describes the information of the branch.
3 integers per line, the first two being the number of nodes to which it is connected. The 3rd number is the number of apples on this branch.
There are no more than 30,000 apples on each branch.
outputs description output Description
The maximum number of remaining apples.
sample input to sample
5 2
1 3 1
1 4 10
2 3 20
3 5 20
Sample output Sample outputs
21st
data size & Hint
For 20% data n<=20;
For 100% data 1<n<=100,1<=q<= N.
Problems encountered: The given node does not have a parent-child relationship, need to build two-way side to go DFS when the judge, this part by its attention, to determine whether to return to the parent, in the Update Father node
The code is as follows
#include <stdio.h>#include<algorithm>using namespacestd;intn,q,cnt,f[ About][ About],fa[ About],first[ About];structedge{intTo,next,val;} edge[ About];voidAddint from,intTo,intval) {edge[++cnt].to=to ; Edge[cnt].val=Val; Edge[cnt].next=first[ from]; first[ from]=CNT;}voidDfsint from){ for(inti=first[ from];i;i=Edge[i].next) { intto=edge[i].to; if(To = = fa[ from])Continue; Fa[to]= from; DFS (to); for(intj=q;j>=1;--j)//using backward Pushing, j is the total number of sides for(intk=0; k<j;++k)//K is the number of child nodes, cannot exceed the total number of branchesf[ from][j]=max (f[ from][j],f[to][k]+f[ from][j-k-1]+edge[i].val);//F[to][k] Sub-node having K-branch Val, F[from][j-k-1] parent node remaining branch of Val,edge[i].val current branch of Val }}intMain () {scanf ("%d%d",&n,&q); for(intI=1; i<n;++i) {int from, To,val; scanf ("%d%d%d",& from,&to,&val); Add ( from, To,val); Add (To, from, Val); } DFS (1); printf ("%d", f[1][q]); return 0;}
Two-fork apple tree (Codevs 5565) tree DP