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: Wrong Answer)

#n=int(input())
#a=[int(input()) for i in range(n)]

n = 5
a = [1,2,3,4,5]

max1 = 0
max1_ind = 0
max2 = 0
max2_ind = 0
 
for i in range(n):
    if max2 <= a[i]:
        if max1 <= a[i]:
            max2 = max1
            max2_ind = max1_ind
            max1 = a[i]
            max1_ind = i
            
        else:
            max2 = a[i]
            max2_ind = i
    
for j in range(n):
    if j == max1_ind:
        print(max2)
    else:
        print(max1)
        
print(max1, max1_ind)
print(max2, max2_ind)