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 Python (3.4.3) (judge verdict: Accepted)

N = int(input())

idx_1st=1
val_1st=1
idx_2nd=0
val_2nd=0

for i in range(N):
  Ai = int(input())
  if Ai>=val_1st:
    idx_2nd=idx_1st
    val_2nd=val_1st
    
    idx_1st=i
    val_1st=Ai
    
  elif Ai<val_1st:
    if Ai>val_2nd:
      idx_2nd=i
      val_2nd=Ai
  else:
    raise ValueError

for i in range(N):
  if i!=idx_1st:
    print(val_1st)
  elif i==idx_1st:
    print(val_2nd)
  else:
    raise ValueError