Problem: This is the easy version of the problem. The difference between the versions is the constraint on n and the required number of operations. You can make hacks only if all versions of the problem are solved.

There are two binary strings a and b of length n (a binary string is a string consisting of symbols 0 and 1). In an operation, you select a prefix of a, and simultaneously invert the bits in the prefix (0 changes to 1 and 1 changes to 0) and reverse the order of the bits in the prefix.

For example, if a=001011 and you select the prefix of length 3, it becomes 011011. Then if you select the entire string, it becomes 001001.

Your task is to transform the string a into b in at most 3n operations. It can be proved that it is always possible.

Input

The first line contains a single integer t (1≤ t≤ 1000) — the number of test cases. Next 3t lines contain descriptions of test cases.

The first line of each test case contains a single integer n (1≤ n≤ 1000) — the length of the binary strings.

The next two lines contain two binary strings a and b of length n.

It is guaranteed that the sum of n across all test cases does not exceed 1000.

Output

For each test case, output an integer k (0≤ k≤ 3n), followed by k integers p_1,…,p_k (1≤ p_i≤ n). Here k is the number of operations you use and p_i is the length of the prefix you flip in the i-th operation.

Example

Input


5
2
01
10
5
01011
11100
2
01
01
10
0110011011
1000110100
1
0
1


Output


3 1 2 1
6 5 2 5 3 1 2
0
9 4 1 2 10 4 1 2 1 5
1 1

Note

In the first test case, we have 01→ 11→ 00→ 10.

In the second test case, we have 01011→ 00101→ 11101→ 01000→ 10100→ 00100→ 11100.

In the third test case, the strings are already the same. Another solution is to flip the prefix of length 2, which will leave a unchanged.

Solution (in PYTHON):

Solution:
"""Template for Python Competitive Programmers prepared by pajengod and   many others """
#  ////////// SHUBHAM SHARMA \\\\\\\\\\\\\
# to use the print and division function of Python3
from __future__ import division, print_function

"""value of mod"""
MOD = 998244353
mod = 10 ** 9 + 7

"""use resource"""
# import resource
# resource.setrlimit(resource.RLIMIT_STACK, [0x100000000, resource.RLIM_INFINITY])

"""for factorial"""


def prepare_factorial():
    fact = [1]
    for i in range(1, 100005):
        fact.append((fact[-1] * i) % mod)
    ifact = [0] * 100005
    ifact[100004] = pow(fact[100004], mod - 2, mod)
    for i in range(100004, 0, -1):
        ifact[i - 1] = (i * ifact[i]) % mod
    return fact, ifact


"""uncomment next 4 lines while doing recursion based question"""
# import threading
# threading.stack_size(1<<27)
import sys

# sys.setrecursionlimit(10000)


"""uncomment modules according to your need"""
from bisect import bisect_left, bisect_right, insort
# from itertools import repeat
from math import floor, ceil, sqrt, degrees, atan, pi, log, sin, radians
from heapq import heappop, heapify, heappush
# from random import randint as rn
# from Queue import Queue as Q
from collections import Counter, defaultdict, deque


# from copy import deepcopy
# from decimal import *
# import re
# import operator


def modinv(n, p):
    return pow(n, p - 2, p)


def ncr(n, r, fact, ifact):  # for using this uncomment the lines calculating fact and ifact
    t = (fact[n] * (ifact[r] * ifact[n - r]) % mod) % mod
    return t


def intarray(): return map(int, sys.stdin.readline().strip().split())


def array(): return list(map(int, sys.stdin.readline().strip().split()))


def input(): return sys.stdin.readline().strip()


"""*****************************************************************************************"""


def GCD(x, y):
    while y:
        x, y = y, x % y
    return x


def lcm(x, y):
    return (x * y) // (GCD(x, y))


def get_xor(n):
    return [n, 1, n + 1, 0][n % 4]


def fast_expo(a, b):
    res = 1
    while b:
        if b & 1:
            res = (res * a)
            res %= MOD
            b -= 1
        else:
            a = (a * a)
            a %= MOD
            b >>= 1
    res %= MOD
    return res


def get_n(P):  # this function returns the maximum n for which Summation(n) <= Sum

    ans = (-1 + sqrt(1 + 8 * P)) // 2
    return ans


""" ********************************************************************************************* """
"""
 array() # for araay
 intarray() # for map array
 SAMPLE INPUT HERE
5
2
01
10
5
01011
11100
2
01
01
10
0110011011
1000110100
1
0
1



"""
""" OM SAI RAM """

def solve():
    n = int(input())
    a= list(input())
    b= list(input())
    out = []
    l = 0
    r =n-1
    flag= False
    for i in range(n-1,-1,-1):
        if not flag:
            if a[l]==b[i]:
                out.append(1)
                out.append(i+1)
            else:
                out.append(i+1)
            l+=1
            flag=  not flag
        else:
            if a[r]=='0':
                a[r]='1'
            else:
                a[r]='0'
            if a[r]==b[i]:
                out.append(1)
                out.append(i+1)
            else:
                out.append(i+1)
            flag = not flag
            r-=1

    print(len(out),*out)
    #print(''.join(a),''.join(b))
    return

def main():
    T = int(input())
    while T:
        solve()
        T -= 1


"""OM SAI RAM """


""" -------- Python 2 and 3 footer by Pajenegod and c1729 ---------"""

py2 = round(0.5)
if py2:
    from future_builtins import ascii, filter, hex, map, oct, zip

    range = xrange

import os, sys
from io import IOBase, BytesIO

BUFSIZE = 8192


class FastIO(BytesIO):
    newlines = 0

    def __init__(self, file):
        self._file = file
        self._fd = file.fileno()
        self.writable = "x" in file.mode or "w" in file.mode
        self.write = super(FastIO, self).write if self.writable else None

    def _fill(self):
        s = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
        self.seek((self.tell(), self.seek(0, 2), super(FastIO, self).write(s))[0])
        return s

    def read(self):
        while self._fill(): pass
        return super(FastIO, self).read()

    def readline(self):
        while self.newlines == 0:
            s = self._fill();
            self.newlines = s.count(b"\n") + (not s)
        self.newlines -= 1
        return super(FastIO, self).readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.getvalue())
            self.truncate(0), self.seek(0)


class IOWrapper(IOBase):

    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        if py2:
            self.write = self.buffer.write
            self.read = self.buffer.read
            self.readline = self.buffer.readline
        else:
            self.write = lambda s: self.buffer.write(s.encode('ascii'))
            self.read = lambda: self.buffer.read().decode('ascii')
            self.readline = lambda: self.buffer.readline().decode('ascii')


sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip('\r\n')

# sys.stdin = open('input.txt', 'r')
# sys.stdout = open('output.txt', 'w')

""" main function"""

if __name__ == '__main__':
    main()
    # threading.Thread(target=main).start()