Problem:
Score : 600 points

Problem Statement

Given are two sequences A and B, both of length N.
A and B are each sorted in the ascending order.
Check if it is possible to reorder the terms of B so that for each i (1 \leq i \leq N) A_i \neq B_i holds, and if it is possible, output any of the reorderings that achieve it.

Constraints

1\leq N \leq 2 \times 10^5

1\leq A_i,B_i \leq N

A and B are each sorted in the ascending order.

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 \cdots A_N
B_1 B_2 \cdots B_N

Output

If there exist no reorderings that satisfy the condition, print No.

If there exists a reordering that satisfies the condition, print Yes on the first line.
After that, print a reordering of B on the second line, separating terms with a whitespace.

If there are multiple reorderings that satisfy the condition, you can print any of them.

Sample Input 1

6
1 1 1 2 2 3
1 1 1 2 2 3

Sample Output 1

Yes
2 2 3 1 1 1

Sample Input 2

3
1 1 2
1 1 3

Sample Output 2

No

Sample Input 3

4
1 1 2 3
1 2 3 3

Sample Output 3

Yes
3 3 1 2

Solution in Ruby (2.7.1) (judge verdict: Wrong Answer)

END { load __FILE__ unless $stdin.eof? }

n = gets.to_i
a = gets.split.map!(&:to_i)
b = gets.split.map!(&:to_i)

c = []

while (x = a[0])
  xi = a.find_index { |e| e > x } || a.size
  a.slice!(0, xi)

  yj = (b[-1] > x) ? b.find_index { |e| e > x } : 0
  b_sub1 = b.slice!(yj, xi)
  b_sub2 = (b_sub1.size < xi) ? b.slice!(0, xi - b_sub1.size) : []

  if b_sub2.any?(x)
    puts :No
    exit
  end

  c.concat(b_sub1, b_sub2)
end

puts :Yes
puts c * " "