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)

N = gets.to_i
as = N.times.map{gets.to_i}
max, max_2, max_index = 0, 0, []
as.each_with_index do |a, i|
  if a > max
    max, max_2 = a, max
    max_index = [i]
  elsif a == max
    max_index.push(i)
  elsif a > max_2
    max_2 = a
  end
end
if max_index.length >= 2
  N.times{print "#{max}\n"}
else
  N.times{|i|
    if max_index.include?(i)
      puts max_2
    else
      puts max
    end
  }
end