typedef long long LL;
typedef pair<LL, LL> PLL;
const int maxm = 1e4+5;
const int maxn = 1e7+5;
int ans[maxn];
int head[maxm], cnt, siz[maxm], mxson[maxm], mxsum, rootsum, root, dis[maxm], point;
bool vis[maxm];
struct Node {
int v, next, val;
} Nodes[maxm*2];
void addedge(int u, int v, int val) {
Nodes[++cnt].v = v;
Nodes[cnt].val = val;
Nodes[cnt].next = head[u];
head[u] = cnt;
}
void getroot(int u, int fa) {
siz[u] = 1, mxson[u] = 0;
for(int i = head[u]; i; i = Nodes[i].next) {
int v = Nodes[i].v;
if(v == fa || vis[v]) continue;
getroot(v, u);
siz[u] += siz[v];
mxson[u] = max(mxson[u], siz[v]);
}
mxson[u] = max(mxson[u], rootsum - siz[u]);
if(mxson[u] < mxsum) {
root = u;
mxsum = mxson[u];
}
}
void getdist(int rt, int fa, int dist) {
dis[++point] = dist;
for(int i = head[rt]; i; i = Nodes[i].next) {
int v = Nodes[i].v;
if(v == fa || vis[v]) continue;
getdist(v, rt, dist+Nodes[i].val);
}
}
void solve(int rt, int dist, int key) {
point = 0;
getdist(rt, 0, dist);
for(int i = 1; i < point; ++i)
for(int j = i+1; j <= point; ++j)
ans[dis[i]+dis[j]] += key;
}
void Divide(int rt) {
vis[rt] = true;
solve(rt, 0, 1);
for(int i = head[rt]; i; i = Nodes[i].next) {
int v = Nodes[i].v;
if(vis[v]) continue;
solve(v, Nodes[i].val, -1);
rootsum = siz[v], mxsum = 0x3f3f3f3f;
root = 0;
getroot(v, 0);Divide(root);
}
}
int main() {
ios::sync_with_stdio(false), cin.tie(0);
int n, m, u, v, c, K;
cin >> n >> m;
for(int i = 0; i < n-1; ++i) {
cin >> u >> v >> c;
addedge(u, v, c), addedge(v, u, c);
}
mxsum = 0x3f3f3f3f, rootsum = n;
root = 0, getroot(1, 0);
Divide(root);
for(int i = 0; i < m; ++i) {
cin >> K;
if(ans[K]) cout << "AYE\n";
else cout << "NAY\n";
}
return 0;
}