#P1553B. Reverse String

    ID: 1971 Type: RemoteJudge 3000ms 256MiB Tried: 0 Accepted: 0 Difficulty: 4 Uploaded By: Tags>brute forcedphashingimplementationstrings*1300

Reverse String

Description

You have a string ss and a chip, which you can place onto any character of this string.

After placing the chip, you move it to the right several (maybe zero) times, i. e. you perform the following operation several times: if the current position of the chip is ii, you move it to the position i+1i + 1. Of course, moving the chip to the right is impossible if it is already in the last position.

After moving the chip to the right, you move it to the left several (maybe zero) times, i. e. you perform the following operation several times: if the current position of the chip is ii, you move it to the position i1i - 1. Of course, moving the chip to the left is impossible if it is already in the first position.

When you place a chip or move it, you write down the character where the chip ends up after your action. For example, if ss is abcdef, you place the chip onto the 33-rd character, move it to the right 22 times and then move it to the left 33 times, you write down the string cdedcb.

You are given two strings ss and tt. Your task is to determine whether it's possible to perform the described operations with ss so that you write down the string tt as a result.

The first line contains one integer qq (1q5001 \le q \le 500) — the number of test cases.

Each test case consists of two lines. The first line contains the string ss (1s5001 \le |s| \le 500), the second line contains the string tt (1t2s11 \le |t| \le 2 \cdot |s| - 1). Both strings consist of lowercase English characters.

It is guaranteed that the sum of s|s| over all test cases does not exceed 500500.

For each test case, print "YES" if you can obtain the string tt by performing the process mentioned in the statement with the string ss, or "NO" if you cannot.

You may print each letter in any case (YES, yes, Yes will all be recognized as positive answer, NO, no and nO will all be recognized as negative answer).

Input

The first line contains one integer qq (1q5001 \le q \le 500) — the number of test cases.

Each test case consists of two lines. The first line contains the string ss (1s5001 \le |s| \le 500), the second line contains the string tt (1t2s11 \le |t| \le 2 \cdot |s| - 1). Both strings consist of lowercase English characters.

It is guaranteed that the sum of s|s| over all test cases does not exceed 500500.

Output

For each test case, print "YES" if you can obtain the string tt by performing the process mentioned in the statement with the string ss, or "NO" if you cannot.

You may print each letter in any case (YES, yes, Yes will all be recognized as positive answer, NO, no and nO will all be recognized as negative answer).

Sample Input 1

6
abcdef
cdedcb
aaa
aaaaa
aab
baaa
ab
b
abcdef
abcdef
ba
baa

Sample Output 1

YES
YES
NO
YES
YES
NO

Note

Consider the examples.

The first test case is described in the statement.

In the second test case, you can place the chip on the 11-st position, move it twice to the right, and then move it twice to the left.

In the fourth test case, you can place the chip on the 22-nd position, and then don't move it at all.

In the fifth test case, you can place the chip on the 11-st position, move it 55 times to the right, and then finish the process.