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
=#
N = parse(readline())
A = parse.(split(readline()))
B  = parse.(split(readline()))
sort!(A)
sort!(B)
count = 0
for i in 1:N
    if B[i] < A[N]
        a = A[N]
        A[N] = B[i]
        B[i] = a
        sort!(A)
        count += 1
        #=println("B $i -> $(A[N])")
        print(B)=#
        println(A)
    end
end

if count > N-2
    print("No")
else
    print("Yes")
end