Problem: Polycarp wants to assemble his own keyboard. Layouts with multiple rows are too complicated for him — his keyboard will consist of only one row, where all 26 lowercase Latin letters will be arranged in some order.

Polycarp uses the same password s on all websites where he is registered (it is bad, but he doesn't care). He wants to assemble a keyboard that will allow to type this password very easily. He doesn't like to move his fingers while typing the password, so, for each pair of adjacent characters in s, they should be adjacent on the keyboard. For example, if the password is abacaba, then the layout cabdefghi... is perfect, since characters a and c are adjacent on the keyboard, and a and b are adjacent on the keyboard. It is guaranteed that there are no two adjacent equal characters in s, so, for example, the password cannot be password (two characters s are adjacent).

Can you help Polycarp with choosing the perfect layout of the keyboard, if it is possible?

Input

The first line contains one integer T (1 ≤ T ≤ 1000) — the number of test cases.

Then T lines follow, each containing one string s (1 ≤ |s| ≤ 200) representing the test case. s consists of lowercase Latin letters only. There are no two adjacent equal characters in s.

Output

For each test case, do the following:

  * if it is impossible to assemble a perfect keyboard, print NO (in upper case, it matters in this problem); 
  * otherwise, print YES (in upper case), and then a string consisting of 26 lowercase Latin letters — the perfect layout. Each Latin letter should appear in this string exactly once. If there are multiple answers, print any of them. 

Example

Input


5
ababa
codedoca
abcda
zxzytyz
abcdefghijklmnopqrstuvwxyza


Output


YES
bacdefghijklmnopqrstuvwxyz
YES
edocabfghijklmnpqrstuvwxyz
NO
YES
xzytabcdefghijklmnopqrsuvw
NO

Solution (in PYTHON3):

Solution:
from sys import stdin
from bisect import bisect_left as bl
from bisect import bisect_right as br

def input():
    return stdin.readline()[:-1]


def intput():
    return int(input())


def sinput():
    return input().split()


def intsput():
    return map(int, sinput())


class RangedList:
    def __init__(self, start, stop, val=0):
        self.shift = 0 - start
        self.start = start
        self.stop = stop
        self.list = [val] * (stop - start)

    def __setitem__(self, key, value):
        self.list[key + self.shift] = value

    def __getitem__(self, key):
        return self.list[key + self.shift]

    def __repr__(self):
        return str(self.list)

    def __iter__(self):
        return iter(self.list)



# Code

alphas = 'abcdefghijklmnopqrstuvwxyz'
t = intput()
for _ in range(t):
    s = input()
    if len(s) == 1:
        print("YES")
        print(alphas)
        continue

    nextto = {}
    for alph in alphas:
        nextto[alph] = set()
    
    for i in range(len(s)):
        for j in (i - 1, i + 1):
            if j in range(len(s)):
                nextto[s[i]].add(s[j])

    if any(len(x) >= 3 for x in nextto.values()):
        print("NO")
        continue
    
    if not any(len(x) == 1 for x in nextto.values()):
        print("NO")
        continue

    for x in nextto:
        if len(nextto[x]) == 1:
            start = x
    
    ans = [start]
    covered = {}
    for x in alphas:
        covered[x] = False
    covered[start] = True
    gotcha = False
    while not all(covered.values()):
        if len(nextto[ans[-1]]) == 0 or len(nextto[ans[-1]]) == 1 and covered[list(nextto[ans[-1]])[0]]:
            for k in covered:
                if not covered[k] and len(nextto[k]) < 2:
                    ans.append(k)
                    break
            else:
                print("NO")
                gotcha = True
                break

        else:
            for d in nextto[ans[-1]]:
                if not covered[d]:
                    ans.append(d)
        covered[ans[-1]] = True
        '''
        print(ans)
        print(covered)
        input()
        '''
    
    if not gotcha:
        print("YES")
        print(''.join(ans))