Time Limit: 0.5 s

Memory Limit: 256.0 MB

Description

You are given two binary strings s and p, both of length n. A binary string is a string consisting only of the characters '0' and '1'.

You are allowed to perform the following operation any number of times (possibly zero):

• Choose two consecutive indices \(i\) and \(i+1\) (\(1 ≤ i < n\)), and replace the substring s[\(i..i+1\)] with either 01 or 10.

Determine whether it is possible to transform s into p.

Input

• The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases.

• Each test case consists of three lines:

  • The first line contains an integer n (1 ≤ n ≤ 30) — the length of the strings.

  • The second line contains the binary string s of length n.

  • The third line contains the binary string p of length n.

Output

• For each test case, print YES if it is possible to transform s into p, otherwise print NO.

Sample

5
4
1100
1010
4
1110
1101
2
01
00
1
1
0
2
00
10

YES
YES
NO
NO
YES

First test case :
In the first test case, s = 1100 can be changed to p = 1010 by selecting positions 2 and 3 and replacing 10 with 01.
Hence, the answer is YES.

Fifth test case :
s = 00 and p = 10, we can directly apply one operation on positions 1 and 2 to change 00 → 10.
Hence, the answer is YES.