#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<cmath>
#define fo(i,a,b) for(i=a;i<=b;i++)
#define fod(i,a,b) for(i=a;i>=b;i--)
#define rep(i,a) for(i=first[a];i;i=next[i])
#define rep1(i,a) for(i=first1[a];i;i=next1[i])
#define rep2(i,a) for(i=first2[a];i;i=next2[i])
#define rep3(i,a) for(i=first3[a];i;i=next3[i])
using namespace std;
const int maxn=300007;
int i,j,k,l,t,n,m,ans[maxn],o,b;
int first[maxn*20],last[maxn*2],next[maxn*2],num;
int first1[maxn*20],last1[maxn*2],next1[maxn*2],num1;
int first2[maxn*20],last2[maxn*2],next2[maxn*2],num2;
int first3[maxn*20],last3[maxn*2],next3[maxn*2],num3;
int a[maxn],deep[maxn],f[maxn][21];
int ci[maxn];
int shang[maxn*2],xia[maxn*2];
void add(int x,int y){last[++num]=y,next[num]=first[x],first[x]=num;}
void add1(int x,int y){last1[++num1]=y,next1[num1]=first1[x],first1[x]=num1;}
void add2(int x,int y){last2[++num2]=y,next2[num2]=first2[x],first2[x]=num2;}
void add3(int x,int y){last3[++num3]=y,next3[num3]=first3[x],first3[x]=num3;}
void dfs(int x,int y){
int i;
deep[x]=deep[y]+1,f[x][0]=y;
rep(i,x)if(last[i]!=y)dfs(last[i],x);
}
int lca(int x,int y){
int i;if(deep[x]<deep[y])swap(x,y);
fod(i,20,0)if(deep[f[x][i]]>deep[y])x=f[x][i];
if(deep[x]!=deep[y])x=f[x][0];
fod(i,20,0)if(f[x][i]!=f[y][i])x=f[x][i],y=f[y][i];
return(x!=y)?f[x][0]:x;
}
void dfs1(int x,int y){
int u=xia[deep[x]+a[x]],v=shang[deep[x]-a[x]+maxn],i;
xia[deep[x]]+=ci[x];
rep1(i,x)shang[last1[i]+maxn]++;
rep(i,x)if(last[i]!=y)dfs1(last[i],x);
ans[x]=xia[deep[x]+a[x]]+shang[deep[x]-a[x]+maxn]-u-v;
rep2(i,x){xia[last2[i]]--;if(last2[i]==deep[x]+a[x])ans[x]--;}
rep3(i,x)shang[last3[i]+maxn]--;
}
int main(){
freopen("running.in","r",stdin);
freopen("running.out","w",stdout);
scanf("%d%d",&n,&m);
fo(i,1,n-1){
scanf("%d%d",&k,&l);
add(k,l),add(l,k);
}
dfs(1,0);
fo(j,1,20)fo(i,1,n)f[i][j]=f[f[i][j-1]][j-1];
fo(i,1,n)scanf("%d",&a[i]);
fo(i,1,m){
scanf("%d%d",&k,&l);
o=lca(k,l);t=deep[k]+deep[l]-2*deep[o];
ci[k]++;b=deep[l]-t;
add1(l,b);add2(o,deep[k]);add3(o,b);
}
dfs1(1,0);
fo(i,1,n)printf("%d ",ans[i]);
}