//这回只花了114514min就打完了。
//真好。记得多手造几组。
#include <bits/stdc++.h>
#define int long long
#define pai 3.141592653589793238462643383279502884197169399375105820
#define MOD 1000000007
#define eps 0.00000001
inline int min(int a,int b) {return a<b?a:b;}
inline int max(int a,int b) {return a>b?a:b;}
#define ULL unsigned long long
#define LL long long
#define INF 0x3f3f3f3f
#define INF_LL 0x3f3f3f3f3f3f3f3f
static char buf[1000000],*paa=buf,*pd=buf;
static char buf2[1000000],*pp=buf2;
#define getchar() paa==pd&&(pd=(paa=buf)+fread(buf,1,1000000,stdin),paa==pd)?EOF:*paa++
inline void pc(char ch){
	if(pp-buf2==1000000) fwrite(buf2,1,1000000,stdout),pp=buf2;
	*pp++=ch;
}
inline void pcc(){
	fwrite(buf2,1,pp-buf2,stdout);
	pp=buf2;
}
inline int read(void) {
	int w=1;
	register int x(0);register char c(getchar());
	while(c<'0'||c>'9') {if(c=='-') w=-1;c=getchar();}
	while(c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar();
	return w*x;
}
void write(__int128 x) {
	if(x<0) pc('-'),x=-x;
	static int sta[40];
	int top=0;
	do {
		sta[top++]=x%10,x/=10;
	} while(x);
	while(top) pc(sta[--top]+48);
}
void we(__int128 x) {
	write(x);
	pc('\n');
}
inline bool cmp_xi(int a,int b) {return a<b;}
inline bool cmp_da(int a,int b) {return a>b;}
int N,Q,hd[100009],pa[100009],dep[100009],a[100009],nxt[200009],to[200009],k,b[100009],ls[40000009],rs[40000009],siz[100009],rt[400009],dfn[100009],
kd,kq,anc[100009][17];
__int128 su;
struct n_t{
	int s1,s2;
	__int128 s3;
} seg[40000009];
inline void l(int u,int v) {nxt[++k]=hd[u],to[k]=v,hd[u]=k;}
//step1: 建出 dfn
//step2: 线段树-个数，和，平方和
//step3：修改+查询
//step4: main 函数改掉
//step5: 卡常数。 
void dfs(int n,int f) {
	anc[n][0]=f;
	pa[n]=f;dep[n]=dep[f]+1;
	siz[n]=1;dfn[n]=++kq;
	for(int i=hd[n];i;i=nxt[i]) {
		if(to[i]==f) continue;
		dfs(to[i],n);
		siz[n]+=siz[to[i]];
	}
}
inline n_t mm(n_t a,n_t b) {
	return (n_t){a.s1+b.s1,a.s2+b.s2,a.s3+b.s3};
}
#define md ((l+r)>>1)
inline void up(int n,int p,int v,int x) {
	int l=0,r=INF;
	while(1) {
		seg[n].s1+=x;
		seg[n].s2+=v*x;
		seg[n].s3+=v*v*x;
		if(l==r) return;
		if(p<=md) {
			if(!ls[n]) ls[n]=++kd;
			n=ls[n];
			r=md;
		} else {
			if(!rs[n]) rs[n]=++kd;
			n=rs[n];
			l=md+1;
		}
	}
}
inline n_t q(int n,int x) {
	n_t ans=(n_t){0,0,0};
	int l=0,r=INF;
	while(n) {
		if(l==r) {
			ans=mm(ans,seg[n]);
			break;
		} else if(x>md) {
			n=rs[n];
			l=md+1;
		} else {
			ans=mm(ans,seg[rs[n]]);
			n=ls[n];
			r=md;			
		}
	}
	return ans;
}
#define ls (n<<1)
#define rs ((n<<1)|1)
void up2(int n,int l,int r,int L,int R,int x,int y) {
	if(r<L||R<l) return;
	if(L<=l&&r<=R) {
		if(!rt[n]) rt[n]=++kd;
		if(x!=-1) up(rt[n],x,x,-1);
		up(rt[n],y,y,1);
		return;
	}
	up2(ls,l,md,L,R,x,y);up2(rs,md+1,r,L,R,x,y);
}
n_t q2(int n,int l,int r,int p,int v) {
	n_t ans=q(rt[n],v);
	if(l==r) return ans;
	if(p<=md) ans=mm(ans,q2(ls,l,md,p,v));else ans=mm(ans,q2(rs,md+1,r,p,v));
	return ans;
}
#undef ls 
#undef rs
#undef md
inline n_t sv(int x,int y,int m,int v) {
	n_t A=q2(1,1,N,dfn[x],v),B=q2(1,1,N,dfn[y],v),C=q2(1,1,N,dfn[m],v);
	A.s1=A.s1+B.s1-2*C.s1;
	A.s2=A.s2+B.s2-2*C.s2;
	A.s3=A.s3+B.s3-2*C.s3;
	if(a[m]>=v) A.s1++,A.s2+=a[m],A.s3+=a[m]*a[m];
	return A;
}
signed main(void) {
    freopen("m.in","r",stdin);
    freopen("m.out","w",stdout);
	N=read();Q=read();
	for(int i=1;i<N;i++) {
		int u=read(),v=read();
		l(u,v),l(v,u);
	} 
	dfs(1,0);
	for(int i=1;i<=N;i++) a[i]=read(),su+=a[i]*a[i];
	for(int i=1;i<=N;i++) up2(1,1,N,dfn[i],dfn[i]+siz[i]-1,-1,a[i]);
	for(int i=1;i<=16;i++) for(int j=1;j<=N;j++) anc[j][i]=anc[anc[j][i-1]][i-1];
	while(Q--) {
		int op=read();
		if(op==1) {
			int x=read(),v=read();
			up2(1,1,N,dfn[x],dfn[x]+siz[x]-1,a[x],v);
			su-=a[x]*a[x];
			su+=v*v;
			a[x]=v;
		} else {
			int m=read(),n=read(),v=read(),x=m,y=n;
			if(dep[m]<dep[n]) std::swap(m,n);
			for(int i=16;i>=0;i--) {
				if(dep[anc[m][i]]>=dep[n]) {
					m=anc[m][i];
				}
			}
			for(int i=16;i>=0;i--) {
				if(anc[m][i]!=anc[n][i]) {
					m=anc[m][i];
					n=anc[n][i];
				}
			}
			if(m!=n) m=anc[m][0];
			int l=0,r=INF,md;
			while(l<r) {
				md=(l+r)>>1;
				n_t tp=sv(x,y,m,md);
				int as=tp.s2-tp.s1*md;
				if(as<=v) r=md;else l=md+1;
			}
			n_t tp=sv(x,y,m,l);
			int as=tp.s2-tp.s1*l;
			if(l==0) {
				we(su-tp.s3);
				continue;
			}
			__int128 aq=(__int128)l*l*tp.s1-tp.s3;
			we(aq-(v-as)*(2*l-1)+su);
		}
	}
	pcc();
    return 0;
}