CF 161D Distance in tree DP

Source: Internet
Author: User

A tree, the side length is 1, ask this tree how many points to the distance is just K


Make tree (i) a subtree that is rooted in I


DP[I][J][1]: In tree (i), through node I, length J, where one endpoint is the number of paths of I
Dp[i][j][0]: In tree (i), through node I, Length J, the end of the path is not the number of I


Then target: ∑ (dp[i][k][0]+dp[i][k][1])
Initialize: dp[i][0][1]=1, the remaining 0


Siz[i]:tree (i), I and the distance from the farthest point of I
Recursion:
DP[I][J][0]+=DP[I][J-L][1]*DP[SONI][L-1][1]
DP[I][J][1]=∑DP[SONI][J-1][1]


Note: When updating each dp[i], update dp[i][j][0], and then update dp[i][j][1]

1#include <cstdio>2#include <cstring>3#include <iostream>4 5 using namespacestd;6 7 Const intmaxn=50000+5;8 Const intmaxk=505;9 #defineLL Long LongTen  OneInlineintMaxintAintb) A { -     returnA>b?a:b; - } the  -InlineintMinintAintb) - { -     returnA<b?a:b; + } -  +LL dp[maxn][maxk][2]; A intSIZ[MAXN]; at structEdge - { -     intTo,next; - }; -Edge edge[maxn<<1]; - intHEAD[MAXN]; in inttot; - intK; to  + voidInit () - { thememset (head,-1,sizeofhead); *tot=0; $Memset (DP,0,sizeofDP);Panax Notoginseng } -  the voidAddedge (intUintv) + { Aedge[tot].to=v; theedge[tot].next=Head[u]; +head[u]=tot++; - } $  $ voidSolveint,int ); - voidDfsint,int ); -  the intMain () - {Wuyi init (); the     intN; -scanf"%d%d",&n,&k); Wu      for(intI=1; i<n;i++) -     { About         intu,v; $scanf"%d%d",&u,&v); - Addedge (u,v); - Addedge (v,u); -     } A solve (n,k); +     return 0; the } -  $ voidSolveintNintk) the { theDfs1,0); theLL ans=0; the      for(intI=1; i<=n;i++) -     { inans+= (dp[i][k][0]+dp[i][k][1]); the     } thecout<<ans<<Endl; About     return ; the } the  the voidDfsintUintpre) + { -dp[u][0][1]=1; thesiz[u]=0;Bayi      for(intI=head[u];~i;i=edge[i].next) the     { the         intv=edge[i].to; -         if(v==pre) -             Continue; the DFS (v,u); the          for(intL=1; l<=siz[v]+1; l++) the         { the              for(intj=l+1; j<=siz[u]+l;j++) -             { the                 if(j>k) the                     Continue; thedp[u][j][0]+=dp[u][j-l][1]*dp[v][l-1][1];94             } the         } the          for(intj=1; j<=siz[v]+1; j + +) thedp[u][j][1]+=dp[v][j-1][1];98Siz[u]=max (siz[u],siz[v]+1); Aboutsiz[u]=min (siz[u],k); -     }101}
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CF 161D Distance in tree DP

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