Title: Topic background
ural:http://acm.timus.ru/problem.aspx?space=1&num=1018
Title 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, the 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. Here is a tree with 4 branches:
2 5
\ /
3 4
\ /
1
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.
Input format
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 are the number of nodes it connects to, and the 3rd number is the number of apples on this branch.
There are no more than 30,000 apples on each branch.
Output format
A number, the maximum number of apples that can be retained.
Sample Data 1
Enter [Copy]
5 2
1 3 1
1 4 10
2 3 20
3 5
Output
+
Exercises
DP[I][J]: Indicates the subtree of point I (including myself) the maximum number of apples that can be left by a J-point
Pay attention to this problem, I turn the reserved m edge into a reserved m+1 point to ask for
Also note that the memory search When you are doing a tree DP Dfs
Code:
#include <iostream>#include<cstdio>#include<cstdlib>#include<cmath>#include<ctime>#include<cctype>#include<cstring>#include<string>#include<algorithm>using namespacestd;Const intn= the;intfirst[n],next[n*2],go[n*2],val[n*2],tot;intn,m;intDp[n][n];inlinevoidComb (intAintBintc) {next[++tot]=first[a],first[a]=tot,go[tot]=b,val[tot]=C; next[++tot]=first[b],first[b]=tot,go[tot]=a,val[tot]=C;} InlinevoidDfsintUintFaintVal,intk) { if(u==0|| k==0) {Dp[u][k]=0; return; } if(dp[u][k]!=-1) return; DP[U][K]=0; for(intI=0; i<k;i++) { intL=0, r=0, VL,VR; for(intE=first[u];e;e=Next[e]) { intv=Go[e]; if(V==FA)Continue; if(l==0) L=v,vl=Val[e]; Else{R=v,vr=Val[e]; Break; }} dfs (L,u,vl,i); DFS (R,u,vr,k-i-1); DP[U][K]=max (dp[l][i]+dp[r][k-i-1]+Val,dp[u][k]); } return;}intMain () {Freopen ("a.in","R", stdin); scanf ("%d%d",&n,&m); M++; Memset (DP,-1,sizeof(DP)); intA,b,c; for(intI=1; i<n;i++) {scanf ("%d%d%d",&a,&b,&c); Comb (A,B,C); } DFS (1,0,0, M); cout<<dp[1][m]<<Endl; return 0;}
Brush Title Summary--Two fork apple tree (ssoj tree-shaped dp+ memory search)