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
max = { val: 0, cnt: 0 }
arr = []

N.times do
  input = gets.to_i
  arr << input

  if max[:val] == input
    max[:cnt] += 1
  elsif max[:val] < input
    max[:val] = input
    max[:cnt] = 0
    max[:cnt] += 1
  end
end

if max[:cnt] > 1
  puts Array.new(arr.size, max[:val])
else
  arr2 = Array.new(arr.size, max[:val])
  index = arr.index(max[:val])
  arr2[index] = arr.sort[-2]
  puts arr2
end