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 Julia (0.5.0) (judge verdict: Wrong Answer)

function main()
  
  N = parse(Int,readline())
  A = zeros(Int,N)
  
  for i in 1:N
    A[i] = parse(Int,readline())
  end
  
  max = maximum(A)
  second = minimum(A)
  
  for i in 1:N

    if maximum([second,A[i]]) < max
      second = maximum([second,A[i]])
    end
    
  end
  
  for i in 1:N
    
    if A[i] == max
      println(second)
    else
      println(max)
    end
    
  end
  
end

main()