Problem:
Score : 600 points

Problem Statement

Given are two integer sequences of N elements each: A_1,...,A_N and B_1,...,B_N.
Determine if it is possible to do the following operation at most N-2 times (possibly zero) so that, for every integer i from 1 to N, A_i \leq B_i holds:

Choose two distinct integers x and y between 1 and N (inclusive), and swap the values of A_x and A_y.

Constraints

2 \leq N \leq 10^5

1 \leq A_i,B_i \leq 10^9

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 ... A_N
B_1 B_2 ... B_N

Output

If the objective is achievable, print Yes; if it is not, print No.

Sample Input 1

3
1 3 2
1 2 3

Sample Output 1

Yes

We should swap the values of A_2 and A_3.

Sample Input 2

3
1 2 3
2 2 2

Sample Output 2

No

Sample Input 3

6
3 1 2 6 3 4
2 2 8 3 4 3

Sample Output 3

Yes

Solution in Julia (0.5.0) (judge verdict: Wrong Answer)

#=
C:
- Julia version:
- Author: abap
- Date: 2019-11-09
=#
parseInt(x::SubString{String}) = parse(Int,x)


function main()
    count::Int64 = 0
    N::Int64 = parse(readline())
    A::Array{Int64} = parseInt.(split(readline()))
    B::Array{Int64} = parseInt.(split(readline()))
    sort!(A,alg = QuickSort)
    sort!(B,alg = QuickSort)
    @simd for i in 1:N
        if B[i] < A[N]
            @inbounds A[N], B[i] = B[i], A[N]
            sort!(A,alg = QuickSort)
            count += 1
        end
    end
    if count > N - 2
        println("No")
    else
        println("Yes")
    end
end

main()