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 c
  integer :: N,i,mx,mx1
  integer,allocatable :: A(:),left(:,:)
  read(*,*) N
  allocate(A(N))
  do i=1,N
  read(*,*) A(i)
  enddo
  allocate(left(N,2))
  mx=maxval(A)
  left(1,1)=A(1)
  left(1,2)=A(N)
  do i=2,N
     left(i,1)=max(left(i-1,1),A(i))
     left(i,2)=max(left(i-1,2),A(N-i+1))
  enddo

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

end program c