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 Lua (Lua 5.3.5) (judge verdict: Accepted)

n = io.read("*n")
t = {}
for i = 1, n do
  t[i] = io.read("*n")
end
local mma = math.max
left = {t[1]}
for i = 2, n do
  left[i] = mma(left[i - 1], t[i])
end
local right = {}
for i = 1, n do right[i] = 0 end
right[n] = t[n]
for i = n - 1, 1, -1 do
  right[i] = mma(right[i + 1], t[i])
end
print(right[2])
for i = 2, n - 1 do
  print(math.max(left[i - 1], right[i + 1]))
end
print(left[n - 1])