Problem: You are given a string, consisting of lowercase Latin letters.

A pair of neighbouring letters in a string is considered ugly if these letters are also neighbouring in a alphabet. For example, string "abaca" contains ugly pairs at positions (1, 2) — "ab" and (2, 3) — "ba". Letters 'a' and 'z' aren't considered neighbouring in a alphabet.

Can you rearrange the letters of a given string so that there are no ugly pairs? You can choose any order of the letters of the given string but you can't add any new letters or remove the existing ones. You can also leave the order the same.

If there are multiple answers, print any of them.

You also have to answer T separate queries.

Input

The first line contains a single integer T (1 ≤ T ≤ 100) — the number of queries.

Each of the next T lines contains string s (1 ≤ |s| ≤ 100) — the string for the next query. It is guaranteed that it contains only lowercase Latin letters.

Note that in hacks you have to set T = 1.

Output

Print T lines. The i-th line should contain the answer to the i-th query.

If the answer for the i-th query exists, then print such a rearrangment of letters of the given string that it contains no ugly pairs. You can choose any order of the letters of the given string but you can't add any new letters or remove the existing ones. You can also leave the order the same.

If there are multiple answers, print any of them.

Otherwise print "No answer" for that query.

Example

Input


4
abcd
gg
codeforces
abaca


Output


cadb
gg
codfoerces
No answer

Note

In the first example answer "bdac" is also correct.

The second example showcases the fact that only neighbouring in alphabet letters are not allowed. The same letter is ok.

There are lots of valid answers for the third example.

Solution (in PYTHON3):

Solution:
# https://codeforces.com/problemset/problem/1156/B

def position(a):
    if a == 'a':
        return 1
    if a == 'b':
        return 2
    if a == 'c':
        return 3
    if a == 'd':
        return 4
    if a == 'e':
        return 5
    if a == 'f':
        return 6
    if a == 'g':
        return 7
    if a == 'h':
        return 8
    if a == 'i':
        return 9
    if a == 'j':
        return 10
    if a == 'k':
        return 11
    if a == 'l':
        return 12
    if a == 'm':
        return 13
    if a == 'n':
        return 14
    if a == 'o':
        return 15
    if a == 'p':
        return 16
    if a == 'q':
        return 17
    if a == 'r':
        return 18
    if a == 's':
        return 19
    if a == 't':
        return 20
    if a == 'u':
        return 21
    if a == 'v':
        return 22
    if a == 'w':
        return 23
    if a == 'x':
        return 24
    if a == 'y':
        return 25
    if a == 'z':
        return 26

trials = int(input())

for i in range(trials):
    sequence = list(input())
    odds = []
    evens = []
    impossible = ''

    # Make list of even and odd letters

    for j in sequence:
        if j in ['a', 'c', 'e', 'g', 'i', 'k', 'm', 'o', 'q', 's', 'u', 'w', 'y']:
            odds.append(j)
        if j in ['b', 'd', 'f', 'h', 'j', 'l', 'n', 'p', 'r', 't', 'v', 'x', 'z']:
            evens.append(j)

    # Sort ascending

    odds_up = sorted(odds)
    evens_up = sorted(evens)

    final_1 = odds_up + evens_up
    final_2 = evens_up + odds_up

    for j in range(len(final_1) - 1):
        if abs(position(final_1[j]) - position(final_1[j + 1])) == 1:
            impossible = 'True'
    if impossible == '':
        print(''.join(final_1))

    # If that didn't work, we try the opposite ordering

    else:
        impossible = ''
        for j in range(len(final_2) - 1):
            if abs(position(final_2[j]) - position(final_2[j + 1])) == 1:
                impossible = 'True'
        if impossible == '':
            print(''.join(final_2))
        else:
            print('No answer')