
树剖上维护可持久化01trie即可

#include<bits/stdc++.h>
using namespace std;
#define rep(i,a,b) for(int i=(a);i<=(b);i++)
#define repp(i,a,b) for(int i=(a);i>=(b);--i)
#define ll long long
#define see(x) (cerr<<(#x)<<'='<<(x)<<endl)
#define inf 0x3f3f3f3f
#define CLR(A,v) memset(A,v,sizeof A)
//////////////////////////////////
const int N=2e6+10;
int T[N],Siz[N<<5],t[N<<5][2],ncnt;
void upnode(int k,int val,int pre,int &pos)
{
pos=++ncnt;
Siz[pos]=Siz[pre]+1;
t[pos][0]=t[pre][0];
t[pos][1]=t[pre][1];
if(k<0)return ;
int c=(val>>k)&1;
upnode(k-1,val,t[pre][c],t[pos][c]);
}
int qmax(int k,int val,int pre,int pos)
{
if(k<0)return 0;
int c=(val>>k)&1;
int si=Siz[t[pos][c^1]]-Siz[t[pre][c^1]];
if(si)return (1<<k)+qmax(k-1,val,t[pre][c^1],t[pos][c^1]);
else return qmax(k-1,val,t[pre][c],t[pos][c]);
}
int head[N],top[N],pos,id[N],tot,fa[N],dep[N],son[N],siz[N],n,m,node[N];
struct Edge{int to,nex;}edge[N<<1];
void add(int a,int b){edge[++pos]=(Edge){b,head[a]};head[a]=pos;}
void dfs1(int x,int f)
{
fa[x]=f;dep[x]=dep[f]+1;siz[x]=1;son[x]=0;
for(int i=head[x];i;i=edge[i].nex)
{
int v=edge[i].to;
if(v==f)continue;
dfs1(v,x);siz[x]+=siz[v];
if(siz[son[x]]<siz[v])son[x]=v;
}
}
void dfs2(int x,int topf)
{
top[x]=topf;id[x]=++tot;
upnode(30,node[x],T[tot-1],T[tot]);
if(son[x])dfs2(son[x],topf);
for(int i=head[x];i;i=edge[i].nex)
{
int v=edge[i].to;if(v==fa[x]||v==son[x])continue;
dfs2(v,v);
}
}
int Qmax(int x,int y,int val)
{
int ans=0;
while(top[x]!=top[y])
{
if(dep[top[x]]<dep[top[y]])swap(x,y);
ans=max(ans,qmax(30,val,T[id[top[x]]-1],T[id[x]]));
x=fa[top[x]];
}
if(dep[x]>dep[y])swap(x,y);
ans=max(ans,qmax(30,val,T[id[x]-1],T[id[y]]));
return ans;
}
int main()
{
scanf("%d%d",&n,&m);
rep(i,1,n)
scanf("%d",&node[i]);
rep(i,1,n-1)
{
int a,b;scanf("%d%d",&a,&b);
add(a,b);add(b,a);
}
dfs1(1,0);
dfs2(1,1);int x,y,z,op;
while(m--)
{
scanf("%d",&op);
if(op==1)scanf("%d%d",&x,&y),printf("%d\n",qmax(30,y,T[ id[x]-1 ],T[ id[x]+siz[x]-1 ] ));
else scanf("%d%d%d",&x,&y,&z), printf("%d\n",Qmax(x,y,z));
}
return 0;
}
