Problem: Vasya has a multiset s consisting of n integer numbers. Vasya calls some number x nice if it appears in the multiset exactly once. For example, multiset \{1, 1, 2, 3, 3, 3, 4\} contains nice numbers 2 and 4.

Vasya wants to split multiset s into two multisets a and b (one of which may be empty) in such a way that the quantity of nice numbers in multiset a would be the same as the quantity of nice numbers in multiset b (the quantity of numbers to appear exactly once in multiset a and the quantity of numbers to appear exactly once in multiset b).

Input

The first line contains a single integer n~(2 ≤ n ≤ 100).

The second line contains n integers s_1, s_2, ... s_n~(1 ≤ s_i ≤ 100) — the multiset s.

Output

If there exists no split of s to satisfy the given requirements, then print "NO" in the first line.

Otherwise print "YES" in the first line.

The second line should contain a string, consisting of n characters. i-th character should be equal to 'A' if the i-th element of multiset s goes to multiset a and 'B' if if the i-th element of multiset s goes to multiset b. Elements are numbered from 1 to n in the order they are given in the input.

If there exist multiple solutions, then print any of them.

Examples

Input

4
3 5 7 1


Output

YES
BABA


Input

3
3 5 1


Output

NO

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.FileReader;
import java.io.InputStreamReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        Scanner in = new Scanner(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        CVasyaAndMultisets solver = new CVasyaAndMultisets();
        solver.solve(1, in, out);
        out.close();
    }

    static class CVasyaAndMultisets {
        public void solve(int testNumber, Scanner sc, PrintWriter pw) {
            int n = sc.nextInt();
            int biggerThan2 = -1;
            int ones = 0;
            int[] count = new int[101];
            int[] arr = new int[n];
            for (int i = 0; i < n; i++) {
                arr[i] = sc.nextInt();
                count[arr[i]]++;
            }
            for (int i = 0; i < n; i++) {
                if (count[arr[i]] == 1)
                    ones++;
                if (count[arr[i]] > 2)
                    biggerThan2 = i;
            }
            if (ones % 2 == 0) {
                pw.println("YES");
                int A = ones / 2;
                for (int i = 0; i < n; i++) {
                    if (count[arr[i]] == 1) {
                        if (A > 0) {
                            pw.print('A');
                            A--;
                        } else
                            pw.print('B');
                    } else {
                        pw.print('B');
                    }
                }
            } else {
                if (biggerThan2 == -1)
                    pw.println("NO");
                else {
                    pw.println("YES");
                    int A = ones / 2;
                    char[] ans = new char[n];
                    ans[biggerThan2] = 'A';
                    for (int i = 0; i < n; i++) {
                        if (i == biggerThan2)
                            continue;
                        if (count[arr[i]] == 1) {
                            if (A > 0) {
                                ans[i] = 'A';
                                A--;
                            } else
                                ans[i] = 'B';
                        } else
                            ans[i] = 'B';
                    }
                    for (int i = 0; i < n; i++)
                        pw.print(ans[i]);
                }
            }
        }

    }

    static class Scanner {
        StringTokenizer st;
        BufferedReader br;

        public Scanner(FileReader r) {
            br = new BufferedReader(r);
        }

        public Scanner(InputStream s) {
            br = new BufferedReader(new InputStreamReader(s));
        }

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

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

    }
}