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())
max_1st = -1
max_1st_index = -1
max_2nd = -1
only_max = False
for i in range(0, N):
  if i == 0:
    max_1st = int(input())
    max_1st_index = 0
  elif i == 1:
    tmp = int(input())
    if (tmp > max_1st):
      max_1st, max_2nd = tmp, max_1st
      max_1st_index = 1
    else:
      max_2nd = tmp
  else:
    tmp = int(input())
    if (max_2nd < tmp) and (tmp < max_1st):
      max_2nd = tmp
    elif (max_1st < tmp):
      max_1st, max_1st_index = tmp, i
      only_max = False
    elif (max_1st == tmp):
      only_max = True

for j in range(0, N):
  if only_max:
    print(max_1st)
  else:
    if j == max_1st_index:
      print(max_2nd)
    else:
      print(max_1st)