Rating changes for the last round are temporarily rolled back. They will be returned soon. ×

C. Perfect Keyboard
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

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 $$$T$$$ ($$$1 \le T \le 1000$$$) — the number of test cases.

Then $$$T$$$ lines follow, each containing one string $$$s$$$ ($$$1 \le |s| \le 200$$$) 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