Chef has two binary strings A and B, each of length N. He can perform the following operation on A any number of times:

Choose L and R (1 ≤ L ≤ R ≤ N), such that, in the [substring] A[L,R], the number of 1s is not equal to the number of 0s and reverse the substring A[L,R].

Find whether Chef can convert the string A into the string B by performing the above operation any (possibly zero) number of times on A.

------ Input Format ------

• The first line of the input contains a single integer T, the number of test cases. The descriptions of the test cases follow.
• The first line of each test case contains one integer N, the length of the binary strings.
• The second line of each test case contains the string A.
• The third line of each test case contains the string B.

------ Output Format ------

For each test case, print $\texttt{YES}$ if it is possible to convert the string A into the string B by performing any (possibly zero) number of given operations on A. Otherwise, print $\texttt{NO}$.

You may print each character of the string in uppercase or lowercase (for example, the strings $\texttt{YeS}, \texttt{yEs}, \texttt{yes}$ and $\texttt{YES}$ will all be treated as identical).

------ Constraints ------

$1 ≤ T ≤ 10^{3}$
$1 ≤ N ≤ 10^{5}$
$|A|=|B|=N$
- The sum of $N$ over all test cases does not exceed $10^{5}$.

----- Sample Input 1 ------
3
2
11
00
5
10110
11001
2
10
01
----- Sample Output 1 ------
NO
YES
NO
----- explanation 1 ------
Test Case $1$: It is impossible to convert $11$ to $00$ by performing any number of operations.

Test Case $2$: We can convert the string $A$ into string $B$ as:
- Operation $1$: Choose $L = 2$ and $R = 4$. Hence, the chosen substring is $1{\underline{011}}0$. On reversing this substring, we get $11100$.
- Operation $2$: Choose $L = 3$ and $R = 5$. Hence, the chosen substring is $11{\underline{100}}$. On reversing it, we get $11001$.

Note that the number of $1$s is not equal to the number of $0$s in the chosen substrings.

Test Case $3$: It is impossible to convert $10$ to $01$ by performing any number of operations.

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