#include<iostream>
#include<cstdio>
#include<cstring>
using namespace std;
const int N=1e4+10;
int h[N],w[N*2],nex[N*2],to[2*N],con=1;
int sz[N],ms,rt,sum;
int del[N],vis[100000010],dis[N],res[N],ires,m,q[128],ans[128],gc[N],igc;
void add(int a,int b,int c)
{
nex[con]=h[a];
h[a]=con;
to[con]=b;
w[con++]=c;
}
int dfs(int now,int fa)
{
// cout<<now<<endl;
sz[now]=1;
int tmp=0;
for(int i=h[now];i;i=nex[i])
{
if(to[i]==fa||del[to[i]])
continue;
int mid=dfs(to[i],now);
sz[now]+=mid;
tmp=max(tmp,mid);
}
tmp=max(tmp,sum-sz[now]);
if(tmp<ms)
{
ms=tmp;
rt=now;
}
return sz[now];
}
void getdis(int now,int fa)
{
// cout<<now<<endl;
res[ires++]=dis[now];
for(int i=h[now];i;i=nex[i])
{
if(to[i]==fa||del[to[i]])
continue;
dis[to[i]]=dis[now]+w[i];
getdis(to[i],now);
}
return;
}
void cal(int now)
{
igc=0;
for(int i=h[now];i;i=nex[i])
{
if(del[to[i]])
continue;
ires=0;
dis[to[i]]=w[i];
getdis(to[i],now);
for(int j=0;j<ires;++j)
for(int k=0;k<m;++k)
{
if(q[k]>=res[j])
ans[k]|=vis[q[k]-res[j]];
}
for(int j=0;j<ires;++j)
{
gc[igc++]=res[j];
vis[res[j]]=1;
}
}
for(int i=0;i<igc;++i)
vis[gc[i]]=0;
}
void div(int now)
{
//cout<<now<<endl;
del[now]=vis[0]=1;
cal(now);
for(int i=h[now];i;i=nex[i])
{
if(del[to[i]])
continue;
sum=sz[now];
ms=sum;
dfs(to[i],0);
dfs(rt,0);
div(rt);
}
}
int main()
{
// freopen("1.txt","r",stdin);
int n;cin>>n>>m;
for(int i=1;i<n;++i)
{
int x,y,z;
scanf("%d%d%d",&x,&y,&z);
add(x,y,z);
add(y,x,z);
}
for(int i=0;i<m;++i)
cin>>q[i];
sum=n;
ms=n+1;
dfs(1,0);
dfs(rt,0);
div(rt);
for(int i=0;i<m;++i)
{
if(ans[i])
cout<<"AYE"<<endl;
else
cout<<"NAY"<<endl;
}
return 0;
}
