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 method_name(n, ai)
  max = ai.max
  cnt = ai.count(max)
  size = ai.size

  if cnt == 1
    max_index = ai.index(max)
    for i in 0..size-1
      if i == max_index
        bi = ai.clone
        bi[max_index] = 0
        puts bi.max
      else
        puts max
      end
    end
  else
    size.times{puts max}
  end
end

n = gets.chomp.to_i
ai = []
n.times{ai << gets.chomp.to_i}
method_name(n, ai)