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.

Difficulty: VERY_HARD

Solutions:
import sys
input = sys.stdin.readline
for _ in range(int(input())):
	n = int(input())
	a = list(input().strip())
	b = list(input().strip())
	if a.count('0') != b.count('0'):
		print('NO')
		continue
	if a == b:
		print('YES')
		continue
	flag = 0
	flag1 = 0
	for i in range(1, n):
		if a[i] == a[i - 1]:
			flag = 1
		if b[i] == b[i - 1]:
			flag1 = 1
	if flag and flag1:
		print('YES')
	else:
		print('NO')


t = int(input())
for _ in range(t):
	n = int(input())
	a = list(map(int, list(input())))
	b = list(map(int, list(input())))
	a0 = a.count(0)
	b0 = b.count(0)
	if a == b:
		print('YES')
	elif a0 != b0:
		print('NO')
	else:
		flag = 0
		for i in range(n - 1):
			if a[i] == a[i + 1]:
				flag |= 1
			if b[i] == b[i + 1]:
				flag |= 2
		if flag == 3:
			print('YES')
		else:
			print('NO')