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.chomp.to_i
a_arr = n.times.map{gets.to_i}

max = 0
max_i = -1
a_arr.each_with_index do |a, i|
  if a > max then
    max = a
    max_i = i
  end
end

second = 0
a_arr.each_with_index do |a, i|
  if a > second && i != max_i then
    second = a
  end
end

(0..a_arr.length-1).each do |i|
  if max_i == i then
    puts second
  else
    puts max
  end
end