B. Trouble Sort

Ashish has n elements arranged in a line.

These elements are represented by two integers ai — the value of the element and bi — 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 ai.

He can perform the following operation any number of times:

Select any two elements i and j such that bi≠bj 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 ai 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 ai (1≤ai≤105) — the value of the i-th element.

The third line containts n integers bi (bi∈{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
inputCopy
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
outputCopy
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 bi≠bj. 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.
只要有一对不一样，就可以一直换

#include <iostream>
#include <algorithm>
#include <set>
#include<cstring>
using namespace std;
#define int long long
int a[1001];
int b[1001];
int c[1001];
signed main()
{int t;cin >> t;while (t--){int n;cin>>n;for (int i=0;i<n;i++){cin>>a[i];c[i] = a[i];}bool flag1 = false;bool flag2 = false;for (int i=0;i<n;i++){cin>>b[i];if (b[i]==0) flag1=true;if (b[i]==1) flag2=true;}sort(a,a+n);bool flag = true;for (int i=0;i<n;i++){if (a[i]!=c[i]){flag = false;} }if (flag==true) cout<<"YES"<<endl;else{if (flag1==true&&flag2==true) cout<<"YES"<<endl;else cout<<"NO"<<endl;}}
}