A chess tournament will be held soon, where n chess players will take part. Every participant will play one game against every other participant. Each game ends in either a win for one player and a loss for another player, or a draw for both players.

Each of the players has their own expectations about the tournament, they can be one of two types:

  1. a player wants not to lose any game (i. e. finish the tournament with zero losses); 
  2. a player wants to win at least one game. 



You have to determine if there exists an outcome for all the matches such that all the players meet their expectations. If there are several possible outcomes, print any of them. If there are none, report that it's impossible.

Input

The first line contains a single integer t (1 ≤ t ≤ 200) — the number of test cases.

The first line of each test case contains one integer n (2 ≤ n ≤ 50) — the number of chess players.

The second line contains the string s (|s| = n; s_i ∈ \{1, 2\}). If s_i = 1, then the i-th player has expectations of the first type, otherwise of the second type.

Output

For each test case, print the answer in the following format:

In the first line, print NO if it is impossible to meet the expectations of all players.

Otherwise, print YES, and the matrix of size n × n in the next n lines.

The matrix element in the i-th row and j-th column should be equal to:

  * +, if the i-th player won in a game against the j-th player; 
  * -, if the i-th player lost in a game against the j-th player; 
  * =, if the i-th and j-th players' game resulted in a draw; 
  * X, if i = j. 

Example

Input


3
3
111
2
21
4
2122


Output


YES
X==
=X=
==X
NO
YES
X--+
+X++
+-X-
--+X
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.List;
import java.util.Map;
import java.util.Set;
import java.util.StringTokenizer;
import java.util.TreeMap;
import java.util.TreeSet;
import java.util.concurrent.CopyOnWriteArrayList;
import java.util.stream.Collectors;


public class Main implements Runnable {
    int n, m, k;
    long n1, s;
    static boolean use_n_tests = true;
    long mod = 1_000_000_007;
    long mod1 = 998244353L;
    List<Integer> primes = Collections.emptyList();//generatePrimes(31623);

    void solve(FastScanner in, PrintWriter out, int testNumber) {
        n = in.nextInt();
        char[] t = in.nextc();
        List<Integer> twoCnt = new ArrayList<>();
        for (int i = 0; i < n; i++) {
            if (t[i] == '2') {
                twoCnt.add(i);
            }
        }
        if (twoCnt.size() < 3 && !twoCnt.isEmpty()) {
            out.println("NO");
            return;
        }
        out.println("YES");
        char[][] res = new char[n][n];
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                res[i][j] = '=';
            }
            res[i][i] = 'X';
        }
        for (int i = 0; i < twoCnt.size(); i++) {
            int first = twoCnt.get(i);
            int second = twoCnt.get((i + 1) % twoCnt.size());
            res[first][second] = '+';
            res[second][first] = '-';
        }
        for (int i = 0; i < n; i++) {
            out.println(res[i]);
        }
    }

    // ****************************** template code ***********

    static public class LcaSparseTable {
        int len;
        int[][] up;
        int[] tin;
        int[] tout;
        int time;
        static List<Integer>[] tree;
        static LcaSparseTable t;

        void dfs(List<Integer>[] tree, int u, int p) {
            tin[u] = time++;
            up[0][u] = p;
            for (int i = 1; i < len; i++)
                up[i][u] = up[i - 1][up[i - 1][u]];
            for (int v : tree[u])
                if (v != p)
                    dfs(tree, v, u);
            tout[u] = time++;
        }

        public LcaSparseTable(List<Integer>[] tree, int root) {
            int n = tree.length;
            len = 1;
            while ((1 << len) <= n) ++len;
            up = new int[len][n];
            tin = new int[n];
            tout = new int[n];
            dfs(tree, root, root);
        }

        boolean isParent(int parent, int child) {
            return tin[parent] <= tin[child] && tout[child] <= tout[parent];
        }

        public int lca(int a, int b) {
            if (isParent(a, b))
                return a;
            if (isParent(b, a))
                return b;
            for (int i = len - 1; i >= 0; i--)
                if (!isParent(up[i][a], b))
                    a = up[i][a];
            return up[0][a];
        }

        public static void adaptGraph(Graph graph) {
            int n = graph.size() + 1;
            tree = new List[n];
            for (int i = 0; i < n; i++) {
                tree[i] = new ArrayList<>();
            }
            List<Integer> edges = graph.getEdges();
            for (int i = 0; i < edges.size() / 2; i++) {
                int v = edges.get(i * 2);
                int u = edges.get(i * 2 + 1);
                tree[v].add(u);
                tree[u].add(v);
            }
            t = new LcaSparseTable(tree, 0);
        }

        public static int getLca(int a, int b) {
            return t.lca(a, b);
        }
    }


    List<Integer> factorize(int a) {
        List<Integer> res = new ArrayList<>();
        for (int i = 0; i < primes.size(); i++) {
            int p = primes.get(i);
            while (a % p == 0) {
                res.add(p);
                a /= p;
            }
            if (a == 1 && p > a) {
                break;
            }
        }
        if (a != 1) {
            res.add(a);
        }
        return res;
    }

    void impossible() {
        out.println(-1);
    }

    void yes() {
        out.println("YES");
    }

    void no() {
        out.println("NO");
    }

    static boolean next_permutation(char[] p) {
        for (int a = p.length - 2; a >= 0; --a)
            if (p[a] < p[a + 1])
                for (int b = p.length - 1; ; --b)
                    if (p[b] > p[a]) {
                        char t = p[a];
                        p[a] = p[b];
                        p[b] = t;
                        for (++a, b = p.length - 1; a < b; ++a, --b) {
                            t = p[a];
                            p[a] = p[b];
                            p[b] = t;
                        }
                        return true;
                    }
        return false;
    }

    public static class DisjointSets {
        int[] p;

        DisjointSets(int size) {
            p = new int[size];
            for (int i = 0; i < size; i++)
                p[i] = i;
        }

        public int root(int x) {
            return x == p[x] ? x : (p[x] = root(p[x]));
        }

        public void unite(int a, int b) {
            a = root(a);
            b = root(b);
            if (a != b)
                p[a] = b;
        }
    }

    boolean triangleCheck(int a, int b, int c) {
        return a + b > c && a + c > b && b + c > a;
    }

    Map<Integer, Integer> numberCompression(List<Integer> ls) {
        Collections.sort(ls);
        int id = 1;
        Map<Integer, Integer> comp = new HashMap<>();
        for (int num : ls) {
            if (!comp.containsKey(num)) {
                comp.put(num, id++);
            }
        }
        return comp;
    }

    long lcm(long a, long b) {
        return (a / gcd(a, b)) * b;
    }

    long gcd(long a, long b) {
        return b == 0 ? a : gcd(b, a % b);
    }

    class Pt {
        int x, y;

        Pt(int x, int y) {
            this.x = x;
            this.y = y;
        }

        public int getX() {
            return x;
        }

        public int getY() {
            return y;
        }

        boolean sameAxis(Pt b) {
            return b.x == x || b.y == y;
        }

        int manxDist(Pt b) {
            return Math.abs(x - b.x) + Math.abs(y - b.y);
        }

        void read() {
            x = in.nextInt();
            y = in.nextInt();
        }
    }

    void swap(Integer[] a, int i, int j) {
        Integer tmp = a[i];
        a[i] = a[j];
        a[j] = tmp;
    }

    void swap(List<Integer> a, int i, int j) {
        Integer tmp = a.get(i);
        a.set(i, a.get(j));
        a.set(j, tmp);
    }

    long manhDist(long x, long y, long x1, long y1) {
        return Math.abs(x - x1) + Math.abs(y - y1);
    }

    double dist(double x, double y, double x1, double y1) {
        return Math.sqrt(Math.pow(x - x1, 2.0) + Math.pow(y - y1, 2.0));
    }

    public static class FW {
        public static void add(long[] t, int i, long value) {
            for (; i < t.length; i |= i + 1)
                t[i] += value;
        }

        public static long sum(long[] t, int i) {
            long res = 0;
            for (; i >= 0; i = (i & (i + 1)) - 1)
                res += t[i];
            return res;
        }

        public static void add(long[] t, int a, int b, long value) {
            add(t, a, value);
            add(t, b + 1, -value);
        }
    }

    int sign(int a) {
        if (a < 0) {
            return -1;
        }
        return 1;
    }

    long binpow(long a, int b) {
        long res = 1;
        while (b != 0) {
            if (b % 2 == 0) {
                b /= 2;
                a *= a;
                a %= mod;
            }

            b--;
            res *= a;
            res %= mod;
        }
        return res;
    }

    List<Integer> getDigits(long n) {
        List<Integer> res = new ArrayList<>();
        while (n != 0) {
            res.add((int) (n % 10L));
            n /= 10;
        }
        return res;
    }

    List<Integer> generatePrimes(int n) {
        List<Integer> res = new ArrayList<>();
        boolean[] sieve = new boolean[n + 1];
        for (int i = 2; i <= n; i++) {
            if (!sieve[i]) {
                res.add(i);
            }
            if ((long) i * i <= n) {
                for (int j = i * i; j <= n; j += i) {
                    sieve[j] = true;
                }
            }
        }
        return res;
    }

    static int stack_size = 1 << 29;

    static class Coeff {
        long mod;
        long[][] C;
        long[] fact;
        boolean cycleWay = false;

        Coeff(int n, long mod) {
            this.mod = mod;
            fact = new long[n + 1];
            fact[0] = 1;
            for (int i = 1; i <= n; i++) {
                fact[i] = i;
                fact[i] %= mod;
                fact[i] *= fact[i - 1];
                fact[i] %= mod;
            }
        }

        Coeff(int n, int m, long mod) {
            // n > m
            cycleWay = true;
            this.mod = mod;
            C = new long[n + 1][m + 1];
            for (int i = 0; i <= n; i++) {
                for (int j = 0; j <= Math.min(i, m); j++) {
                    if (j == 0 || j == i) {
                        C[i][j] = 1;
                    } else {
                        C[i][j] = C[i - 1][j - 1] + C[i - 1][j];
                        C[i][j] %= mod;
                    }
                }
            }
        }

        public long C(int n, int m) {
            if (cycleWay) {
                return C[n][m];
            }
            return fC(n, m);
        }

        private long fC(int n, int m) {
            return (fact[n] * inv(fact[n - m] * fact[m] % mod)) % mod;
        }

        private long inv(long r) {
            if (r == 1)
                return 1;
            return ((mod - mod / r) * inv(mod % r)) % mod;
        }
    }

    class Pair {
        int first;
        long second;

        Pair(int f, long s) {
            first = f;
            second = s;
        }

        public int getFirst() {
            return first;
        }

        public long getSecond() {
            return second;
        }
    }

    class MultisetTree<T> {
        int size = 0;

        TreeMap<T, Integer> mp = new TreeMap<>();

        void add(T x) {
            mp.merge(x, 1, Integer::sum);
            size++;
        }

        void remove(T x) {
            if (mp.containsKey(x)) {
                mp.merge(x, -1, Integer::sum);
                if (mp.get(x) == 0) {
                    mp.remove(x);
                }
                size--;
            }
        }

        boolean contains(T x) {
            return mp.containsKey(x);
        }

        T greatest() {
            return mp.lastKey();
        }

        T higher(T x) {
            return mp.higherKey(x);
        }

        T smallest() {
            return mp.firstKey();
        }

        T biggest() {
            return mp.lastKey();
        }

        int size() {
            return size;
        }

        int diffSize() {
            return mp.size();
        }
    }

    class Multiset<T> {
        int size = 0;

        Map<T, Integer> mp = new HashMap<>();

        void add(T x) {
            mp.merge(x, 1, Integer::sum);
            size++;
        }

        boolean contains(T x) {
            return mp.containsKey(x);
        }

        void remove(T x) {
            if (mp.containsKey(x)) {
                mp.merge(x, -1, Integer::sum);
                if (mp.get(x) == 0) {
                    mp.remove(x);
                }
                size--;
            }
        }

        int size() {
            return size;
        }

        int diffSize() {
            return mp.size();
        }
    }

    static class Range {
        int l, r;
        int id;

        public int getL() {
            return l;
        }

        public int getR() {
            return r;
        }

        public Range(int l, int r, int id) {
            this.l = l;
            this.r = r;
            this.id = id;
        }
    }

    static class Array {
        static Range[] readRanges(int n, FastScanner in) {
            Range[] result = new Range[n];
            for (int i = 0; i < n; i++) {
                result[i] = new Range(in.nextInt(), in.nextInt(), i);
            }
            return result;
        }

        static List<List<Integer>> intInit2D(int n) {
            List<List<Integer>> res = new ArrayList<>();
            for (int i = 0; i < n; i++) {
                res.add(new ArrayList<>());
            }
            return res;
        }

        static boolean isSorted(Integer[] a) {
            for (int i = 0; i < a.length - 1; i++) {
                if (a[i] > a[i + 1]) {
                    return false;
                }
            }
            return true;
        }

        static public long sum(List<Integer> a) {
            long sum = 0;
            for (int x : a) {
                sum += x;
            }
            return sum;
        }

        static public long sum(int[] a) {
            long sum = 0;
            for (int x : a) {
                sum += x;
            }
            return sum;
        }

        static public long sum(long[] a) {
            long sum = 0;
            for (long x : a) {
                sum += x;
            }
            return sum;
        }

        static public long sum(Integer[] a) {
            long sum = 0;
            for (int x : a) {
                sum += x;
            }
            return sum;
        }

        static public int min(Integer[] a) {
            int mn = Integer.MAX_VALUE;
            for (int x : a) {
                mn = Math.min(mn, x);
            }
            return mn;
        }

        static public int min(int[] a) {
            int mn = Integer.MAX_VALUE;
            for (int x : a) {
                mn = Math.min(mn, x);
            }
            return mn;
        }

        static public int max(Integer[] a) {
            int mx = Integer.MIN_VALUE;
            for (int x : a) {
                mx = Math.max(mx, x);
            }
            return mx;
        }

        static public int max(int[] a) {
            int mx = Integer.MIN_VALUE;
            for (int x : a) {
                mx = Math.max(mx, x);
            }
            return mx;
        }

        static public int[] readint(int n, FastScanner in) {
            int[] out = new int[n];
            for (int i = 0; i < out.length; i++) {
                out[i] = in.nextInt();
            }
            return out;
        }
    }

    class Graph {
        List<List<Integer>> graph;
        List<Integer> edges;

        Graph(int n) {
            create(n);
        }

        private void create(int n) {
            List<List<Integer>> graph = new ArrayList<>();
            for (int i = 0; i < n; i++) {
                graph.add(new ArrayList<>());
            }
            this.graph = graph;
            edges = new ArrayList<>();
        }

        int size() {
            return graph.size();
        }

        List<Integer> abj(int v) {
            return graph.get(v);
        }

        void read(int m, FastScanner in) {
            for (int i = 0; i < m; i++) {
                int v = in.nextInt() - 1;
                int u = in.nextInt() - 1;
                graph.get(v).add(u);
            }
        }

        void readBi(int m, FastScanner in) {
            for (int i = 0; i < m; i++) {
                int v = in.nextInt() - 1;
                int u = in.nextInt() - 1;
                addEdge(v, u);
            }
        }

        public void addEdge(int v, int u) {
            graph.get(v).add(u);
            graph.get(u).add(v);
            edges.add(v);
            edges.add(u);
        }

        public List<Integer> getEdges() {
            return edges;
        }
    }

    class FastScanner {
        BufferedReader br;
        StringTokenizer st;

        public FastScanner(InputStream io) {
            br = new BufferedReader(new InputStreamReader(io));
        }

        public String line() {
            String result = "";
            try {
                result = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return result;
        }

        public String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        public char[] nextc() {
            return next().toCharArray();
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }

        public double nextDouble() {
            return Double.parseDouble(next());
        }

        public int[] nextArray(int n) {
            int[] res = new int[n];
            for (int i = 0; i < n; i++) {
                res[i] = in.nextInt();
            }
            return res;
        }

        public int[] nextArray() {
            int n = in.nextInt();
            return nextArray(n);
        }

        public long[] nextArrayL(int n) {
            long[] res = new long[n];
            for (int i = 0; i < n; i++) {
                res[i] = in.nextLong();
            }
            return res;
        }

        public Long[] nextArrayL2(int n) {
            Long[] res = new Long[n];
            for (int i = 0; i < n; i++) {
                res[i] = in.nextLong();
            }
            return res;
        }


        public Integer[] nextArray2(int n) {
            Integer[] res = new Integer[n];
            for (int i = 0; i < n; i++) {
                res[i] = in.nextInt();
            }
            return res;
        }

        public long nextLong() {
            return Long.parseLong(next());
        }

    }

    void run_t_tests() {
        int t = in.nextInt();
        int i = 0;
        while (t-- > 0) {
            solve(in, out, i++);
        }
    }

    void run_one() {
        solve(in, out, -1);
    }

    @Override
    public void run() {
        in = new FastScanner(System.in);
        out = new PrintWriter(System.out);
        if (use_n_tests) {
            run_t_tests();
        } else {
            run_one();
        }
        out.close();
    }

    static FastScanner in;
    static PrintWriter out;

    public static void main(String[] args) throws InterruptedException {
        Thread thread = new Thread(null, new Main(), "", stack_size);
        thread.start();
        thread.join();
    }
}