hdu5293 lca+dp+ tree-like array + timestamp

Source: Internet
Author: User

Test instructions is to give n points of the tree, there will be a link between the M chain two points, calculated that they do not have the maximum value of the public point, the public point when this calculation as long as they have a common point in their LCA chain, they intersect

Dp[i] The maximum value that can be obtained for the subtree contained in this point

Sum[i] Indicates that this point has no option to pass the total value of this point chain

Two options

This point has not been chosen.

Dp[i]=sum[i]=sigma (Dp[k]) K is a subtree of I

A chain was selected

Suppose this chain is (Tyuijk)

Then dp[i]= (Sum[i]-dp[u]-dp[j]) + (Sum[j]-dp[k]) +dp[k] + (Sum[u]-dp[y]) + (sum[y]-dp[t]) +sum[t];

Finishing found Dp[i]=sum[i] + (Sum[j]-dp[j]) + (Sum[k]-dp[k]) + (Sum[u]-dp[u]) + (Sum[y]-dp[y]) + (sum[t]-dp[t]);

Using LCA to calculate the nearest common ancestor of each strand, judging whether the chain is used in this recent public ancestor, and we can use time stamps and tree arrays to find sum and DP

#include <iostream>#include<algorithm>#include<string.h>#include<cstdio>#include<vector>using namespacestd;Const intmaxn=100000+Ten;intto[maxn*2],nx[maxn*2],h[maxn*2],numofedg,timoflook;intfa[maxn][ -],FIRST[MAXN],LAST[MAXN],DEPTH[MAXN];voidADDEDG (intUintv) {NUMOFEDG++; To[numofedg]=v; Nx[numofedg]=h[u]; h[u]=NUMOFEDG; NUMOFEDG++; To[numofedg]=u; NX[NUMOFEDG]=H[V]; h[v]=numofedg;}voidDfsintCurintPerintDEP) {First[cur]=++Timoflook; Depth[cur]=DEP; fa[cur][0]=per;  for(intI=1; i< -; i++) {Fa[cur][i]=fa[fa[cur][i-1] [i1 ]; }     for(intI=h[cur]; I I=Nx[i]) {            if(To[i]==per)Continue; DFS (TO[I],CUR,DEP+1); } Last[cur]=++Timoflook;}intGetlca (intUintv) {     if(depth[u]<Depth[v]) swap (U,V);  for(intI= +; i>=0; i--)        {             if(depth[fa[u][i]]>=depth[v]) u=Fa[u][i]; if(U==V)returnu; }      for(intI= +; i>=0; i--)        {             if(fa[u][i]!=Fa[v][i]) {u=Fa[u][i]; V=Fa[v][i]; }        }        returnfa[u][0];}structedg{intU,v,lca,val;} P[maxn];vector<int>E[MAXN];intdp[maxn],sum[maxn],cs[maxn*3],cd[maxn*3];intLowbit (intx) {     returnx&-x;}voidAddintXintDint*b) {       while(x<=Timoflook) {C[x]+=E; X+=lowbit (x); }}intGetsum (intXint*C) {     intret=0;  while(x>0) {ret+=C[x]; X-=lowbit (x); }        returnret;}voidSolveintCurintper) {Dp[cur]=sum[cur]=0;  for(intI=h[cur]; I I=Nx[i]) {            if(To[i]==per)Continue;            Solve (to[i],cur); Sum[cur]+=Dp[to[i]]; } Dp[cur]=Sum[cur];  for(intI=0; I<e[cur].size (); i++)        {              intId=E[cur][i]; intu=p[id].u; intv=p[id].v; intt1=getsum (FIRST[U],CS); intT2=getsum (FIRST[V],CS); intt3=getsum (FIRST[U],CD); intt4=getsum (FIRST[V],CD); inttmp=t1+t2-t3-T4; Dp[cur]=max (dp[cur],tmp+p[id].val+Sum[cur]);     } add (First[cur],sum[cur],cs); Add (Last[cur],-Sum[cur],cs);     Add (FIRST[CUR],DP[CUR],CD); Add (Last[cur],-dp[cur],cd);}intMain () {intCAs; scanf ("%d",&CAs);  for(intCc=1; cc<=cas; Cc++)        {              intn,m; Timoflook=numofedg=0; scanf ("%d%d",&n,&m);  for(intI=0; i<=n; i++) {cs[i*2]=cs[i*2+1]=cd[i*2]=cd[i*2+1]=0; H[i]=0;                E[i].clear (); }               for(intI=1; i<n; i++)                {                    intu,v; scanf ("%d%d",&u,&v);                ADDEDG (U,V); } fa[1][0]=1; DFS (1,1,0);  for(intI=0; i<m; i++) {scanf ("%d%d%d",&p[i].u,&p[i].v,&p[i].val); P[i].lca=Getlca (P[I].U,P[I].V);                    E[p[i].lca].push_back (i); } Solve (1,-1); printf ("%d\n", dp[1]); }    return 0;}
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hdu5293 lca+dp+ tree-like array + timestamp

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