Ashish has n elements arranged in a line. 

These elements are represented by two integers a_i — the value of the element and b_i — the type of the element (there are only two possible types: 0 and 1). He wants to sort the elements in non-decreasing values of a_i.

He can perform the following operation any number of times: 

  * Select any two elements i and j such that b_i ≠ b_j and swap them. That is, he can only swap two elements of different types in one move. 



Tell him if he can sort the elements in non-decreasing values of a_i after performing any number of operations.

Input

The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases. The description of the test cases follows.

The first line of each test case contains one integer n (1 ≤ n ≤ 500) — the size of the arrays.

The second line contains n integers a_i (1 ≤ a_i ≤ 10^5) — the value of the i-th element.

The third line containts n integers b_i (b_i ∈ \{0, 1\}) — the type of the i-th element.

Output

For each test case, print "Yes" or "No" (without quotes) depending on whether it is possible to sort elements in non-decreasing order of their value.

You may print each letter in any case (upper or lower).

Example

Input


5
4
10 20 20 30
0 1 0 1
3
3 1 2
0 1 1
4
2 2 4 8
1 1 1 1
3
5 15 4
0 0 0
4
20 10 100 50
1 0 0 1


Output


Yes
Yes
Yes
No
Yes

Note

For the first case: The elements are already in sorted order.

For the second case: Ashish may first swap elements at positions 1 and 2, then swap elements at positions 2 and 3.

For the third case: The elements are already in sorted order.

For the fourth case: No swap operations may be performed as there is no pair of elements i and j such that b_i ≠ b_j. The elements cannot be sorted.

For the fifth case: Ashish may swap elements at positions 3 and 4, then elements at positions 1 and 2.
"""
  ____          _      _____
 / ___|___   __| | ___|  ___|__  _ __ ___ ___  ___
| |   / _ \ / _` |/ _ \ |_ / _ \| '__/ __/ _ \/ __|
| |__| (_) | (_| |  __/  _| (_) | | | (_|  __/\__ \
 \____\___/ \__,_|\___|_|  \___/|_|  \___\___||___/

"""
"""
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"""

import sys
import math
import collections
from collections import deque

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

from functools import reduce
from sys import stdin, stdout, setrecursionlimit
setrecursionlimit(2**20)


def isPowerOfTwo(x):
    return (x and (not(x & (x - 1))))


def factors(n):
    return list(set(reduce(list.__add__, ([i, n // i] for i in range(1, int(n**0.5) + 1) if n % i == 0))))

T = 1
T = int(stdin.readline())
for _ in range(T):
    #s = str(stdin.readline().strip('\n'))
    #a, b = list(map(int, stdin.readline().split()))
    #s = list(stdin.readline().strip('\n'))
    #b = list(stdin.readline().strip('\n'))
    n = int(stdin.readline())
    #n, m = list(map(int, stdin.readline().split()))
    a = list(map(int, stdin.readline().split()))
    b = list(map(int, stdin.readline().split()))
    c = a.copy()
    c.sort()
    if n == b.count(0) or n == b.count(1):
        if c == a:
            print('Yes')
            continue
        else:
            print('No')
            continue

    if b.count(1) != 0 and b.count(0) != 0:
        print('Yes')
    else:
        print('No')

    '''
    ai = [0] * (n + 1)
    bi = [0] * (n + 1)
    for i in range(n):
        ai[a[i]] = i
        bi[b[i]] = i
    #print(a, b)
    d = {}
    for k in range(1, n + 1):
        sft = ai[k] - bi[k]
        if sft >= 0:
            if sft not in d:
                d[sft] = 0
            d[sft] += 1
        else:
            if n - abs(sft) not in d:
                d[n - abs(sft)] = 0
            d[n - abs(sft)] += 1
    print(max(d.values()))
'''
