题意:一棵树,给两个点,求树上有多少点到他俩距离相等
倍增lca,分好多情况讨论。。
#include<cstdio> #include<cstring> #include<iostream> #include<algorithm> #include<cmath> #define N 100500 using namespace std; int e=1,head[N]; struct edge{ int u,v,next; }ed[2*N]; void add(int u,int v){ ed[e].u=u;ed[e].v=v; ed[e].next=head[u]; head[u]=e++; } int n,m; int dep[N],fa[N][22],size[N]; void dfs(int x){ size[x]=1; for(int i=1;(1<<i)<=dep[x];i++) fa[x][i]=fa[fa[x][i-1]][i-1]; for(int i=head[x];i;i=ed[i].next){ int v=ed[i].v; if(v==fa[x][0])continue; fa[v][0]=x;dep[v]=dep[x]+1; dfs(v); size[x]+=size[v]; } } int getlca(int x,int y){ if(dep[x]<dep[y])swap(x,y); for(int i=20;~i;i--) if(dep[fa[x][i]]>=dep[y]){ x=fa[x][i]; } if(x==y) return x; for(int i=20;~i;i--) if(fa[x][i]!=fa[y][i]){ x=fa[x][i];y=fa[y][i]; } return fa[x][0]; } int find(int x,int y){ int d=dep[x]-y; for(int i=20;~i;i--) if(dep[fa[x][i]]>=d) x=fa[x][i]; return x; } int main(){ scanf("%d",&n);int u,v; for(int i=1;i<n;i++){ scanf("%d%d",&u,&v); add(u,v);add(v,u); } dep[1]=1;fa[1][0]=0; dfs(1); scanf("%d",&m); for(int i=1;i<=m;i++){ scanf("%d%d",&u,&v); if(u==v){printf("%d ",n);continue;} if(dep[u]>dep[v])swap(u,v); int lca=getlca(v,u),mid,len; if(lca==u){ len=dep[v]-dep[u]; if(len%2==1){printf("%d ",0);continue;} else{ mid=find(v,len/2); printf("%d ",size[mid]-size[find(v,dep[v]-dep[mid]-1)]); continue; } } len=dep[u]+dep[v]-2*dep[lca]; if(len%2==1){printf("%d ",0);continue;} else{ mid=find(v,len/2); if(mid==lca){ printf("%d ",n-size[find(u,dep[u]-dep[lca]-1)]-size[find(v,dep[v]-dep[lca]-1)]); continue; } else{ printf("%d ",size[mid]-size[find(v,dep[v]-dep[mid]-1)]); continue; } } } return 0; }