#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define int ll
typedef pair<int,int> pii;
#define X first
#define Y second
#define pb push_back
#define All(a) a.begin(), a.end()
#define SZ(a) ((int)a.size())
#define endl '\n'
#define yn(ok) cout << (ok ? "Yes" : "No") << endl;
void db() {cout << '\n';}
template <typename T, typename ...U> void db(T a, U ...b) {
cout << a << ' ', db(b...);}
const ll mod = 1e9+7;
const ll inf = 1LL << 60;
const int NN = 2e5+5;
int n, m, k;
vector<int> g[NN];
set<int> ch[NN];
vector<int> id, chnum;
vector<tuple<int, int, int>> q[NN];
vector<int> chnow, ans;
void dfs(int k, int p){
chnum[k] = 1;
chnow[k] = k;
int mx = 0, mxch = k;
for(int nt : g[k]){
if(nt != p){
dfs(nt, k);
// ch[k].insert(id[nt]);
if(chnum[nt] > mx){
mx = chnum[nt], mxch = nt;
}
chnum[k] += chnum[nt];
}
}
chnow[k] = chnow[mxch];
ch[chnow[k]].insert(id[k]);
for(int nt : g[k]){
if(nt != p && nt != mxch){
for(int i : ch[chnow[nt]])
ch[chnow[k]].insert(i);
}
}
// db(k, ":", chnow[k]);
// for(int i : ch[chnow[k]]) cout << i << ' '; cout << endl;
for(auto[l, r, ansid] : q[k]){
auto it = ch[chnow[k]].lower_bound(l);
if(it != ch[chnow[k]].end() && *it <= r) ans[ansid] = 1;
}
}
void solve(){
cin >> n >> m;
id.resize(n + 1);
chnum.resize(n + 1);
chnow.resize(n + 1);
ans.assign(m, 0);
for(int i = 0; i < n - 1; i++){
int x, y; cin >> x >> y;
g[x].pb(y);
g[y].pb(x);
}
vector<int> p(n + 1);
for(int i = 1; i <= n; i++) cin >> p[i], id[p[i]] = i;
for(int i = 0; i < m; i++){
int x, y, z;
cin >> x >> y >> z;
q[z].pb({x, y, i});
}
dfs(1, 0);
for(int i : ans) yn(i);
for(int i = 0; i <= n; i++) g[i].clear(), ch[i].clear();
for(int i = 0; i <= m; i++) q[i].clear();
}
signed main(){
ios_base::sync_with_stdio(false); cin.tie(0);
int t = 1;
cin >> t;
while(t--)
solve();
return 0;
}
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