Problem:
Score : 300 points

Problem Statement

You are given a sequence of length N: A_1, A_2, ..., A_N.
For each integer i between 1 and N (inclusive), answer the following question:

Find the maximum value among the N-1 elements other than A_i in the sequence.

Constraints

2 \leq N \leq 200000

1 \leq A_i \leq 200000

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A_1
:
A_N

Output

Print N lines. The i-th line (1 \leq i \leq N) should contain the maximum value among the N-1 elements other than A_i in the sequence.

Sample Input 1

3
1
4
3

Sample Output 1

4
3
4

The maximum value among the two elements other than A_1, that is, A_2 = 4 and A_3 = 3, is 4.

The maximum value among the two elements other than A_2, that is, A_1 = 1 and A_3 = 3, is 3.

The maximum value among the two elements other than A_3, that is, A_1 = 1 and A_2 = 4, is 4.

Sample Input 2

2
5
5

Sample Output 2

5
5

Solution in Ruby (2.3.3) (judge verdict: Accepted)

def main(argv)
	n = gets.chomp.to_i
  
  a = [0] * n
	n.times{|i| a[i] = gets.chomp.to_i}
  
  max_1 = a.max
  cnt_1 = a.count(max_1)
  
  b = a.dup
  b.delete(max_1)
  max_2 = b.size == 0 ? -1 : b.max
  cnt_2 = b.size == 0 ? -1 : b.count(max_2)
  
  n.times do |i|
    if cnt_1 == 1 then
      puts ((a[i] == max_1) ? max_2 : max_1).to_s
    else
      puts max_1.to_s
    end
  end
end

if self.to_s === 'main'
	main(ARGV)
end