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: Runtime Error)

n = int(input())
a = []
b = []

for i in range(n):
    t = int(input())
    a.append(t)
    b.append(t)

b.sort()
m = 0
l = n+1

for i in range(n):
    m = 0
    l = n+1
    if a[i] != b[-1]:
        print(b[-1])
        continue
    while a[i] != b[(m+l)//2]:
        if a[i] < b[(m+l)//2]:
            l //= 2
        else:
            m = i
    tmp = b[(m+l)//2]
    b[(m+l)//2] = 0
    print(max(b))
    b[(m+l)//2] = tmp