Luogu P2420 让我们异或吧
用LCA可做~
基本上可以算是LCA模板题了,套一顿LCA模板即可实现~
注:以下floor[i]为第i个点的层数,fa[i,j]为i节点向上的第2^j个节点的编号,f[i,j]为i节点向上跑2^j条边的答案(也就是异或值)。
P.S.:话说为什么最近Pascal的题解越来越少了qwq……
pascal代码如下:
var n,m,i,j,k,x,y,z,ans:longint; en,dis,find,next,last,floor:array[0..200000]of longint; f,fa:array[0..100000,0..17]of longint; b:array[1..100000]of boolean; procedure build(x,y:longint); begin inc(k); next[k]:=last[x]; last[x]:=k; en[k]:=y; dis[k]:=z; end; begin readln(n); for m:=1 to n-1 do//邻接表存边(因为无向,所以存两遍,注意数组也要开大一倍) begin readln(x,y,z); build(x,y); build(y,x); end; find[1]:=1; x:=1; y:=1; b[1]:=true; floor[1]:=1; while x<=y do//BFS建树 begin i:=last[find[x]]; while i>0 do begin if not b[en[i]] then begin inc(y); find[y]:=en[i]; fa[en[i],0]:=find[x]; f[en[i],0]:=dis[i]; b[en[i]]:=true; floor[en[i]]:=floor[find[x]]+1; end; i:=next[i]; end; inc(x); end; for j:=1 to 17 do//处理ST表 for i:=1 to n do begin fa[i,j]:=fa[fa[i,j-1],j-1]; f[i,j]:=f[i,j-1] xor f[fa[i,j-1],j-1]; end; readln(m); for i:=1 to m do//LCA模板(倍增)(注意答案是在求异或值就行了qwq) begin readln(x,y); if floor[x]<floor[y] then begin z:=x; x:=y; y:=z; end; ans:=0; if floor[x]>floor[y] then for j:=17 downto 0 do if floor[fa[x,j]]>=floor[y] then begin ans:=ans xor f[x,j]; x:=fa[x,j]; end; if x=y then begin writeln(ans); continue; end; for j:=17 downto 0 do if fa[x,j]<>fa[y,j] then begin ans:=ans xor f[x,j] xor f[y,j]; x:=fa[x,j]; y:=fa[y,j]; end; writeln(ans xor f[x,0] xor f[y,0]); end; end.