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)

# 最大値と二番目に大きいやつをとっておく。最大値のときだけ二番目に大きいやつ採用
n = int(input())
arr = []
for i in range(n):
  t = int(input()) 
  arr.append([i, t])

sorted_arr = list(sorted(arr, key = lambda x : x[1]))
biggest = sorted_arr[-1]
second_biggest = sorted_arr[-2]

for i in range(n):
  if i != biggest[0]:
    print(biggest[1])
  else:
    print(second_biggest[1])