//#define _GLIBCXX_DEBUG

//#pragma GCC target("avx2")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")

#include<bits/stdc++.h>
using namespace std;


#ifdef LOCAL
#include <debug_print.hpp>
#define OUT(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#define OUT(...) (static_cast<void>(0))
#endif

#define endl '\n'
#define lfs cout<<fixed<<setprecision(15)
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define UNIQUE(a) (a).erase(unique((a).begin(),(a).end()),(a).end())
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T> using PQ = priority_queue<T>;
template<typename T> using QP = priority_queue<T,vector<T>,greater<T>>;
template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
template<typename T1,typename T2,typename T3>void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);};  
template<typename T>void debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout<<sv<<v[i][j];cout<<endl;}};
template<typename T>void debug(const T &v,ll n,string sv=" "){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout<<sv<<v[i];cout<<endl;};
template<typename T>void debug(const vector<T>&v){debug(v,v.size());}
template<typename T>void debug(const vector<vector<T>>&v){for(auto &vv:v)debug(vv,vv.size());}
template<typename T>void debug(stack<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(queue<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(deque<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop_front();}cout<<endl;}
template<typename T>void debug(PQ<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(QP<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(const set<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T>void debug(const multiset<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T,size_t size>void debug(const array<T, size> &a){for(auto z:a)cout<<z<<" ";cout<<endl;}
template<typename T,typename V>void debug(const map<T,V>&v){for(auto z:v)cout<<"["<<z.first<<"]="<<z.second<<",";cout<<endl;}
template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << "(" << p.first << "," << p.second << ")";}
template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){os<<"[";for(auto &z:v)os << z << ",";os<<"]"; return os;}
template<typename T>void rearrange(vector<int>&ord, vector<T>&v){
  auto tmp = v;
  for(int i=0;i<tmp.size();i++)v[i] = tmp[ord[i]];
}
template<typename Head, typename... Tail>void rearrange(vector<int>&ord,Head&& head, Tail&&... tail){
  rearrange(ord, head);
  rearrange(ord, tail...);
}
template<typename T> vector<int> ascend(const vector<T>&v){
  vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
  sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],i)<make_pair(v[j],j);});
  return ord;
}
template<typename T> vector<int> descend(const vector<T>&v){
  vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
  sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],-i)>make_pair(v[j],-j);});
  return ord;
}
template<typename T> vector<T> inv_perm(const vector<T>&ord){
  vector<T>inv(ord.size());
  for(int i=0;i<ord.size();i++)inv[ord[i]] = i;
  return inv;
}
ll FLOOR(ll n,ll div){assert(div>0);return n>=0?n/div:(n-div+1)/div;}
ll CEIL(ll n,ll div){assert(div>0);return n>=0?(n+div-1)/div:n/div;}
ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;}
ll modulo(ll n,ll d){return (n%d+d)%d;};
template<typename T>T min(const vector<T>&v){return *min_element(v.begin(),v.end());}
template<typename T>T max(const vector<T>&v){return *max_element(v.begin(),v.end());}
template<typename T>T acc(const vector<T>&v){return accumulate(v.begin(),v.end(),T(0));};
template<typename T>T reverse(const T &v){return T(v.rbegin(),v.rend());};
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
int popcount(ll x){return __builtin_popcountll(x);};
int poplow(ll x){return __builtin_ctzll(x);};
int pophigh(ll x){return 63 - __builtin_clzll(x);};
template<typename T>T poll(queue<T> &q){auto ret=q.front();q.pop();return ret;};
template<typename T>T poll(priority_queue<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(QP<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(stack<T> &s){auto ret=s.top();s.pop();return ret;};
ll MULT(ll x,ll y){if(LLONG_MAX/x<=y)return LLONG_MAX;return x*y;}
ll POW2(ll x, ll k){ll ret=1,mul=x;while(k){if(mul==LLONG_MAX)return LLONG_MAX;if(k&1)ret=MULT(ret,mul);mul=MULT(mul,mul);k>>=1;}return ret;}
ll POW(ll x, ll k){ll ret=1;for(int i=0;i<k;i++){if(LLONG_MAX/x<=ret)return LLONG_MAX;ret*=x;}return ret;}
std::ostream &operator<<(std::ostream &dest, __int128_t value) {
  std::ostream::sentry s(dest);
  if (s) {
    __uint128_t tmp = value < 0 ? -value : value;
    char buffer[128];
    char *d = std::end(buffer);
    do {
      --d;
      *d = "0123456789"[tmp % 10];
      tmp /= 10;
    } while (tmp != 0);
    if (value < 0) {
      --d;
      *d = '-';
    }
    int len = std::end(buffer) - d;
    if (dest.rdbuf()->sputn(d, len) != len) {
      dest.setstate(std::ios_base::badbit);
    }
  }
  return dest;
}
namespace converter{
  int dict[500];
  const string lower="abcdefghijklmnopqrstuvwxyz";
  const string upper="ABCDEFGHIJKLMNOPQRSTUVWXYZ";
  const string digit="0123456789";
  const string digit1="123456789";
  void regi_str(const string &t){
    for(int i=0;i<t.size();i++){
      dict[t[i]]=i;
    }
  }
  void regi_int(const string &t){
    for(int i=0;i<t.size();i++){
      dict[i]=t[i];
    }
  }
  vector<int>to_int(const string &s,const string &t){
    regi_str(t);
    vector<int>ret(s.size());
    for(int i=0;i<s.size();i++){
      ret[i]=dict[s[i]];
    }
    return ret;
  }
  vector<int>to_int(const string &s){
    auto t=s;
    sort(t.begin(),t.end());
    t.erase(unique(t.begin(),t.end()),t.end());
    return to_int(s,t);
  }
  
  vector<vector<int>>to_int(const vector<string>&s,const string &t){
    regi_str(t);
    vector<vector<int>>ret(s.size(),vector<int>(s[0].size()));
    for(int i=0;i<s.size();i++){
      for(int j=0;j<s[0].size();j++){
        ret[i][j]=dict[s[i][j]];
      }
    }
    return ret;
  }
  vector<vector<int>>to_int(const vector<string>&s){
    string t;
    for(int i=0;i<s.size();i++){
      t+=s[i];
    }
    sort(t.begin(),t.end());t.erase(unique(t.begin(),t.end()),t.end());
    return to_int(s,t);
  }
  string to_str(const vector<int>&s,const string &t){
    regi_int(t);
    string ret;
    for(auto z:s)ret+=dict[z];
    return ret;
  }
  vector<string> to_str(const vector<vector<int>>&s,const string &t){
    regi_int(t);
    vector<string>ret(s.size());
    for(int i=0;i<s.size();i++){
      for(auto z:s[i])ret[i]+=dict[z];
    }
    return ret;
  }
}
template< typename T = int >
struct edge {
  int to;
  T cost;
  int id;
  edge():to(-1),id(-1){};
  edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){}
  operator int() const { return to; }
};

template<typename T>
using Graph = vector<vector<edge<T>>>;
template<typename T>
Graph<T>revgraph(const Graph<T> &g){
  Graph<T>ret(g.size());
  for(int i=0;i<g.size();i++){
    for(auto e:g[i]){
      int to = e.to;
      e.to = i;
      ret[to].push_back(e);
    }
  }
  return ret;
}
template<typename T>
Graph<T> readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){
  Graph<T> ret(n);
  for(int es = 0; es < m; es++){
    int u,v;
    T w=1;
    cin>>u>>v;u-=indexed,v-=indexed;
    if(weighted)cin>>w;
    ret[u].emplace_back(v,w,es);
    if(!directed)ret[v].emplace_back(u,w,es);
  }
  return ret;
}
template<typename T>
Graph<T> readParent(int n,int indexed=1,bool directed=true){
  Graph<T>ret(n);
  for(int i=1;i<n;i++){
    int p;cin>>p;
    p-=indexed;
    ret[p].emplace_back(i);
    if(!directed)ret[i].emplace_back(p);
  }
  return ret;
}
template<typename T>
struct Lowlink{
  const Graph<T> G;
  int size;
  vector<int>ord,low,used;
  vector<int>articulation;
  vector<pair<int,int>>bridge;
  Lowlink(const Graph<T> &g):G(g){
    size = G.size();
    ord.assign(size,-1);
    low.assign(size,-1);
    used.assign(size,0);
    int tmp=0;
    for(int i=0;i<size;i++){
      if(!used[i]){
        dfs(i,tmp,-1);
      }
    }
  }
  void dfs(int k,int &num,int par){
    ord[k] = num;
    low[k] = num;
    num++;
    used[k] = 1;
    int cnt=0;
    bool is_articulation=false;
    bool multiple=false;
    for(int i=0;i<G[k].size();i++){
      if(!multiple&&par==G[k][i]){
        multiple=true;
        continue;
      }
      if(used[G[k][i]]){
        chmin(low[k],ord[G[k][i]]);
      }
      else{
        cnt++;
        dfs(G[k][i],num,k);
        chmin(low[k],low[G[k][i]]);
        if(ord[k]<low[G[k][i]])bridge.emplace_back(k,G[k][i]);
        if(ord[k]<=low[G[k][i]]&&par!=-1)is_articulation=true;
      }
    }
    if(par==-1&&cnt>=2)is_articulation=true;
    if(is_articulation)articulation.push_back(k);
    return; 
  }
  vector<int>tecc_index;//二重辺連結成分の番号
  Graph<T>tecc_graph;
  int TECC(){
    tecc_index.assign(G.size(),-1);
    int cnt=0;
    for(int i=0;i<size;i++){
      if(tecc_index[i]==-1)dfs_tecc(i,-1,cnt);
    }
    tecc_graph.assign(cnt,vector<edge<T>>());
    for(int i=0;i<bridge.size();i++){
      int u=tecc_index[bridge[i].fi],v=tecc_index[bridge[i].se];
      tecc_graph[u].emplace_back(v);
      tecc_graph[v].emplace_back(u);
    }
    return *max_element(tecc_index.begin(),tecc_index.end())+1;
  }
  void dfs_tecc(int k,int par,int &group){
    if(par==-1||ord[par]<low[k]){
      tecc_index[k] = group++;
    }
    else tecc_index[k] = tecc_index[par];
    for(int i=0;i<G[k].size();i++){
      if(tecc_index[G[k][i]]==-1)dfs_tecc(G[k][i],k,group);
    }
  }
  vector<vector<pair<int, int>>>bcc;
  stack<pair<int, int>>tmp;
  void BCC(){
    used.assign(G.size(), false);
    for(int i=0;i<G.size();i++){
      if(!used[i]){
        dfs_bcc(i, -1);
      }
    }
  }
  void dfs_bcc(int k, int par){
    used[k]=true;
    for(int to:G[k]){
      if(to==par)continue;
      if(!used[to] | ord[to] < ord[k]){
        tmp.emplace(minmax(k, to));
      }
      if(!used[to]){
        dfs_bcc(to, k);
        if(low[to] >= ord[k]){
          bcc.emplace_back();
          while(1){
            auto e = tmp.top();
            bcc.back().emplace_back(e);
            tmp.pop();
            if(e.first == min(k, to) && e.second == max(k, to))break;
          }
        }
      }
    }
  }
  Graph<T>bct_graph;
  vector<int>bct_index;
  vector<bool>art;
  //BCC:bccのindexと一致
  //関節点:以降
  void makeBCT(){
    assert(bcc.empty());
    BCC();
    art.assign(G.size(), false);
    bct_index.assign(G.size(), -1);
    bct_graph.resize(bcc.size()+articulation.size());
    for(int i=0;i<articulation.size();i++){
      bct_index[articulation[i]] = i+bcc.size();
      bct_graph.emplace_back();
      art[articulation[i]] = true;
    }
    vector<bool>check(G.size(),false);
    int idx=0;
    for(auto &ev:bcc){
      bct_graph.emplace_back();
      queue<int>rev;
      for(auto &e:ev){
        for(auto &v:{e.first, e.second}){
          if(art[v]&&!check[v]){
            rev.push(v);
            check[v] = true;
            bct_graph[idx].emplace_back(bct_index[v]);
            bct_graph[bct_index[v]].emplace_back(idx);
          }
          else if(!art[v]){
            bct_index[v] = idx;
          }
        }
      }
      while(!rev.empty()){
        check[rev.front()] = false;
        rev.pop();
      }
      idx++;
    }
  }
};
template<typename T>
pair<vector<int>,vector<int>>inout(const Graph<T>&g,int root=-1) {
  vector<int>in(g.size(),-1),out(g.size(),-1);
  int time=0;
  auto dfs=[&](auto &&self,int k)->void {
    in[k]=time++;
    for(auto to:g[k]){
      if(in[to]!=-1)continue;
      self(self,to);
    }
    out[k]=time;
  };
  if(root==-1){
    for(int i=0;i<g.size();i++){
      if(in[i]==-1)dfs(dfs,i);
    }
  }
  else dfs(dfs,root);
  return make_pair(move(in),move(out));
}
template< typename E, typename H >
struct DualSegmentTree {
  int sz, height;
  vector< E > lazy;
  const H h;
  const E ei;

  DualSegmentTree(int n, const H h, const E &ei) : h(h), ei(ei) {
    sz = 1;
    height = 0;
    while(sz < n) sz <<= 1, height++;
    lazy.assign(2 * sz, ei);
  }

  inline void propagate(int k) {
    if(lazy[k] != ei) {
      lazy[2 * k + 0] = h(lazy[2 * k + 0], lazy[k]);
      lazy[2 * k + 1] = h(lazy[2 * k + 1], lazy[k]);
      lazy[k] = ei;
    }
  }

  inline void thrust(int k) {
    for(int i = height; i > 0; i--) propagate(k >> i);
  }

  void update(int a, int b, const E &x) {
    thrust(a += sz);
    thrust(b += sz - 1);
    for(int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) {
      if(l & 1) lazy[l] = h(lazy[l], x), ++l;
      if(r & 1) --r, lazy[r] = h(lazy[r], x);
    }
  }

  E operator[](int k) {
    thrust(k += sz);
    return lazy[k];
  }
};

template< typename E, typename H >
DualSegmentTree< E, H > get_dual_segment_tree(int N, const H& h, const E& ei) {
  return {N, h, ei};
}
namespace range_assign{
  using M=ll;
  auto h = [](M x,M y){
    if(y==-INF)return x;
    return y;
  };
  DualSegmentTree<M,decltype(h)>make(int n){
    return {n,h,-INF};
  }
};
void solve(){
	ll res=0,buf=0;
  bool judge = true;

  int n,m;cin>>n>>m;
  auto g=readGraph<int>(n,m);
  vector<pair<int,int>>p;
  {
    vector<int>cnt(n+1);
    rep(i,0,n){
      int a;cin>>a;
      cnt[a]++;
    }
    rep(i,0,n+1)if(cnt[i]>0)p.EB(i,cnt[i]);
  }
  Lowlink low(g);
  low.TECC();
  vector<int>sub(low.tecc_graph.size());
  rep(i,0,n)sub[low.tecc_index[i]]++;
  vector<int>col(n,-1);
  int sz=p.size();
  vector<int>pre(sz),suf(sz);
  pre[0]=p[0].se,suf[0]=p[sz-1].se;
  rep(i,0,sz-1)pre[i+1]=pre[i]+p[i+1].se;
  rep(i,0,sz-1)suf[i+1]=suf[i]+p[sz-2-i].se;
  vector<P>from(low.tecc_graph.size());
  rep(i,0,from.size())from[i]=MP(i,i);
  auto [in,out]=inout(low.tecc_graph);
  //OUT(p);
  //OUT(pre,suf);
  auto dfs=[&](auto &&f,int v,int par)->P {
    P ret(-1,-1);
    if(col[0]!=-1)return ret;
    map<int,vector<int>>ml;
    map<int,vector<int>>mr;
    for(auto to:low.tecc_graph[v]){
      if(to==par)continue;
      auto tmp=f(f,to,v);
      sub[v]+=sub[to];
      ml[tmp.fi].EB(to);
      mr[tmp.se].EB(to);
      if(chmax(ret.fi,tmp.fi))from[v].fi=to;
      if(chmax(ret.se,tmp.se))from[v].se=to;
    }
    if(col[0]!=-1)return ret;
    if(ret.fi==-1){
      ret.fi=0;
      ret.se=0;
    }
    ml[0].EB(-1);
    mr[0].EB(-1);
    int lc=-1,rc=-1,li=-1,ri=-1;
    for(auto z:ml){
      if(li!=-1)break;
      for(auto tlc:z.se){
        if(li!=-1)break;
        for(auto trc:mr[sz-1-z.fi]){
          if(li!=-1)break;
          //OUT(tlc,trc);
          if(tlc!=trc){
            lc=tlc;
            rc=trc;
            li=z.fi;
            ri=sz-1-z.fi;
          }
        }
      }
    }
    //OUT(ml,mr,lc,rc);
    if(li!=-1){
      //assert(false);
      auto seg=range_assign::make(low.tecc_graph.size());
      seg.update(0,n,li);
      while(li!=0){
        //OUT(lc);
        if(pre[li-1]==sub[lc])li--;
        seg.update(in[lc],out[lc],li);
        lc=from[lc].fi;
      }
      while(ri!=0){
        //OUT(rc);
        if(suf[ri-1]==sub[rc])ri--;
        seg.update(in[rc],out[rc],sz-1-ri);
        rc=from[rc].se;
      }
      rep(i,0,n)col[i]=p[seg[low.tecc_index[i]]].fi;
    }
    if(pre[ret.fi]==sub[v])ret.fi++;
    if(suf[ret.se]==sub[v])ret.se++;
    //OUT(v,par,ret);
    return ret;
  };
  dfs(dfs,0,-1);
  ans1(col[0]!=-1);
  if(col[0]!=-1)debug(col);
}

int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  int T = 1;
  cin>>T;
  while(T--){
    solve();
  }
  return 0;
}