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())

list_A = []
for i in range(n):
    list_A.append(int(input()))

#リスト内の最大の値を格納
max_val = max(list_A)

#リスト内の最大の値の位置を格納
for i in range(len(list_A)):
    if list_A[i] == max_val:
        max_val_position = i
        break

#リスト内のから最大の要素を除いた後の，最大の要素
max_val_2 = max(list_A[:max_val_position] + list_A[max_val_position+1:])

for i in range(len(list_A)):
    
    #リスト内の最大の数が除かれたときは二番目に大きい数を出力する
    if i == max_val_position:
        print(max_val_2)
    else:
        print(max_val)