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)

integer N
integer,allocatable,dimension(:)::A
integer premax,maxnum,cnt
read*,N
allocate(A(N))
do i=1,N
  read*,A(i)
end do
premax=0
maxnum=A(1)
cnt=1
do i=2,N
  if(A(i)>maxnum)then
    premax=maxnum
    maxnum=A(i)
    cnt=1
  else if(A(i)==maxnum)then
    cnt=2
  else if(A(i)>=premax)then
    premax=A(i)
  endif
end do
do i=1,N
  if(A(i)/=maxnum.or.cnt==2)then
    print"(i0)",maxnum
  else
    print"(i0)",premax
  endif
end do
end