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 Ruby (2.3.3) (judge verdict: Accepted)

n=gets.chop.to_i
array=[]
for i in 0..n do
 a=gets.to_i
 array[i]=a
end
max=0
index=0
for i in 0..n-1 do
 if array[i]>max
   max=array[i]
   index=i
   end
 end
 max2=max
for j in 0..n-1 do
 if j==index
 max=0
 for k in 0..n-1 do
  if k!=j
  if array[k]>max
    max=array[k]
    end
   end
  end
  
  end
  puts max
  if j==index
      max=max2
  end
end