#include <iostream>
#include <cstdio>
#include <queue>
#include <algorithm>
#include <cmath>
#include <cstring>
#define inf 2147483647
#define N 1000010
#define p(a) putchar(a)
#define For(i,a,b) for(int i=a;i<=b;++i)
//by war
//2019.8.24
using namespace std;
int n,m,x,y,v,rt,sum,cnt;
int k[N],f[N],siz[N],d[N],ans[N];
bool vis[N],fg[N];
queue<int>q;
struct node{
int n;
int v;
node *next;
}*e[N];
void in(int &x){
int y=1;char c=getchar();x=0;
while(c<'0'||c>'9'){if(c=='-')y=-1;c=getchar();}
while(c<='9'&&c>='0'){ x=(x<<1)+(x<<3)+c-'0';c=getchar();}
x*=y;
}
void o(int x){
if(x<0){p('-');x=-x;}
if(x>9)o(x/10);
p(x%10+'0');
}
void push(int x,int y,int v){
node *p;
p=new node();
p->n=y;
p->v=v;
if(e[x]==0)
e[x]=p;
else{
p->next=e[x]->next;
e[x]->next=p;
}
}
void GET_ROOT(int x,int fa){
siz[x]=1;f[x]=0;
for(node *i=e[x];i;i=i->next){
if(i->n==fa||vis[i->n]) continue;
GET_ROOT(i->n,x);
f[x]=max(f[x],siz[i->n]);
siz[x]+=siz[i->n];
}
f[x]=max(f[x],sum-siz[x]);
if(f[x]<f[rt]) rt=x;
}
void GET_DIST(int x,int fa,int w){
for(node *i=e[x];i;i=i->next){
if(i->n==fa||vis[i->n]) continue;
d[++cnt]=w+i->v;
GET_DIST(i->n,x,d[cnt]);
}
}
void GET_ANS(int x,int fa){
fg[0]=1;q.push(0);vis[x]=1;
for(node *i=e[x];i;i=i->next){
if(i->n==fa||vis[i->n]) continue;
d[++cnt]=i->v;
GET_DIST(i->n,x,i->v);
For(i,1,cnt)
For(j,1,m)
if(k[j]>=d[i]) ans[j]|=fg[k[j]-d[i]];
For(i,1,cnt) q.push(d[i]),fg[d[i]]=1;
cnt=0;
}
while(!q.empty())
fg[q.front()]=0,q.pop();
}
void dfs(int x,int fa){
GET_ANS(x,fa);
for(node *i=e[x];i;i=i->next){
if(i->n==fa||vis[i->n]) continue;
sum=siz[i->n];
rt=0;
f[rt]=inf;
GET_ROOT(i->n,x);
GET_ROOT(rt,rt);
dfs(rt,x);
}
}
signed main(){
in(n);in(m);
For(i,1,n-1){
in(x);in(y);in(v);
push(x,y,v);
push(y,x,v);
}
For(i,1,m)
in(k[i]);
f[rt]=inf;
sum=n;
GET_ROOT(1,1);
GET_ROOT(rt,rt);
dfs(rt,rt);
For(i,1,m)
if(ans[i])
puts("AYE");
else
puts("NAY");
return 0;
}