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: Time Limit Exceeded)

program c
  integer :: N,i,mx,mx1
  integer,allocatable :: A(:)
  read(*,*) N
  allocate(A(N))
  do i=1,N
  read(*,*) A(i)
  enddo

  mx=maxval(A)
  do i=1,N
     if(mx.eq.A(i)) then
        if(i.eq.1) then
           write(*,'(i0)') maxval(A(2:N))
        elseif(i.eq.N) then
           write(*,'(i0)') maxval(A(1:N-1))
        else
           mx1=max(maxval(A(1:i-1)),maxval(A(i+1:N)))
           write(*,'(i0)') mx1
        endif
     else
        write(*,'(i0)') mx
     endif
  enddo

end program c