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 Fortran (gfortran v4.8.4) (judge verdict: Accepted)

program main
  implicit none
  integer :: n, i, largest, second
  integer, allocatable :: a(:)
  read (*, *) n
  allocate (a(n))
  read (*, *) (a(i), i = 1, n)
  largest = 0
  second = 0
  do i = 1, n
    if (a(i) > largest) then
      second = largest
      largest = a(i)
    else if (a(i) > second) then
      second = a(i)
    end if
  end do

  do i = 1, n
    if (a(i) == largest) then
      write (*, "(i0)") second
    else
      write (*, "(i0)") largest
    end if
  end do
end program main