#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define Mp make_pair
#define pb push_back
#define SZ(a) (int(a.size()))

typedef long long ll;
typedef double db;
typedef std::pair<int, int> pii;
typedef std::vector<int> vi;
std::mt19937_64 gen(std::chrono::system_clock::now().time_since_epoch().count());
ll get(ll l, ll r) { std::uniform_int_distribution<ll> dist(l, r); return dist(gen); }

void solve() {
    int n, m;
    cin >> n >> m;
    vector G(n + 1, vector<pii>());
    vector e(m + 1, pii());
    for(int i = 1; i <= m; i++) {
        int u, v;
        cin >> u >> v;
        G[u].pb(Mp(v, i));
        G[v].pb(Mp(u, i));
        e[i] = Mp(u, v);
    }
    vi a(n + 1);
    for(int i = 1; i <= n; i++) {
        cin >> a[i];
    }
    sort(a.begin() + 1, a.end());

    vi fe(n + 1), dfn(n + 1);
    vi low(n + 1), cut(n + 1);
    vi bel(n + 1), cnt(n + 1);
    int dfc = 0, tot = 0;
    function<void(int)> tarjan = [&](int x) {
        dfn[x] = ++dfc, low[x] = dfc;
        for(auto [y, eid] : G[x]) {
            if(!dfn[y]) {
                fe[y] = eid;
                tarjan(y);
                if(low[x] > low[y]) {
                    low[x] = low[y];
                }
            } else if(fe[x] != eid && low[x] > dfn[y]) {
                low[x] = dfn[y];
            }
        }
        if(fe[x] && low[x] == dfn[x]) {
            cut[fe[x]] = 1;
        }
    };
    tarjan(1);

    function<void(int, int)> dfs = [&](int x, int c) {
        bel[x] = c, cnt[c]++;
        for(auto [y, eid] : G[x]) {
            if(bel[y] || cut[eid]) continue;
            dfs(y, c);
        }
    };
    for(int i = 1; i <= n; i++) {
        if(!bel[i]) {
            dfs(i, ++tot);
        }
    }
    
    // cerr << "tot = " << tot << endl;
    // for(int i = 1; i <= n; i++) {
    //     cerr << bel[i] << " \n"[i == n];
    // }

    vector nG(tot + 1, vi());
    for(int i = 1; i <= m; i++) {
        auto [u, v] = e[i];
        u = bel[u], v = bel[v];
        if(u == v) {
            continue;
        }
        nG[u].pb(v);
        nG[v].pb(u);
    }

    int diff_cnt = 0;
    vi diff(n + 1);
    for(int i = 1; i < n; i++) {
        if(a[i] != a[i + 1]) {
            diff_cnt++;
            diff[i] = 1;
        }
    }

    vector f(tot + 1, vi(2)), g(tot + 1, vi(2));
    vi sz(tot + 1), ans(tot + 1), fa(tot + 1);
    int fl = 0;
    function<void(int, int)> dfs2 = [&](int x, int fz) {
        sz[x] = cnt[x], fa[x] = fz, g[x] = {x, x};
        for(auto y : nG[x]) if(y != fz && !fl) {
            dfs2(y, x);
            sz[x] += sz[y];
            if(f[x][1] + f[y][0] + diff[sz[y]] == diff_cnt && !fl) {
                fl = 1;
                for(int t = g[y][0]; t != x; t = fa[t]) {
                    ans[t] = a[sz[t]];
                }
                for(int t = g[x][1]; t != x; t = fa[t]) {
                    ans[t] = a[n - sz[t] + 1];
                }
                ans[x] = a[sz[y] + 1];
            }
            if(f[x][0] + f[y][1] + diff[n - sz[y]] == diff_cnt && !fl) {
                fl = 1;
                for(int t = g[y][1]; t != x; t = fa[t]) {
                    ans[t] = a[n - sz[t] + 1];
                }
                for(int t = g[x][0]; t != x; t = fa[t]) {
                    ans[t] = a[sz[t]];
                }
                ans[x] = a[n - sz[y]];
            }
            if(f[y][0] + diff[sz[y]] > f[x][0]) {
                f[x][0] = f[y][0] + diff[sz[y]];
                g[x][0] = g[y][0];
            }
            if(f[y][1] + diff[n - sz[y]]) {
                f[x][1] = f[y][1] + diff[n - sz[y]];
                g[x][1] = g[y][1];
            }
        }
    };
    dfs2(1, 0);
    
    if(!fl) {
        cout << "No\n";
        return;
    }
    cout << "Yes\n";
    queue<int> q;
    for(int i = 1; i <= tot; i++) {
        if(ans[i]) q.push(i);
    }
    while(SZ(q)) {
        int x = q.front(); q.pop();
        for(int y : nG[x]) if(!ans[y]) {
            ans[y] = ans[x];
            q.push(y);
        }
    }
    for(int i = 1; i <= n; i++)
        cout << ans[bel[i]] << " \n"[i == n];
}
signed main() {
    atexit([](){cerr << "time: " << (db)clock()/CLOCKS_PER_SEC << "s\n";});
    ios::sync_with_stdio(false), cin.tie(0), cout.tie(0);
    int t = 1;
    cin >> t;
    while(t--) solve();
    return 0;
}
/*
5
5 4
1 2
2 3
3 4
4 5
1 2 3 4 5
5 4
1 2
1 3
1 4
1 5
1 2 3 4 5
5 4
1 2
1 3
1 4
1 5
1 2 2 2 3
5 6
1 2
1 2
2 3
3 4
4 5
3 5
1 2 1 2 1
2 2
1 2
1 2
1 2

*/