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 abc134c3
   implicit none
   integer(8) :: n, i, lowMax, ans, highmax
   integer(8), allocatable :: a(:)

   read(*,*) n
   allocate(a(n))
   do i = 1, n
      read(*,*) a(i)
   enddo

   highmax = 0
   lowMax = 0
   do i = 1, n
      if (i ==1) then
         highmax = maxval(a(2:n))
         write(*,*) highmax
         lowMax = a(1)
         cycle
      else if ( i == n) then
         write(*,*) lowMax
         cycle
      endif

      !lowMax = max(lowmax, a(i-1))
      if (highmax == a(i)) then
         highmax = maxval(a(i+1:n))
      endif
      write(*,*) max(lowMax, highMax)
      lowMax = max(lowmax, a(i))
   enddo

end