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: Time Limit Exceeded)

def calculate(arr):
    arr2 = rank(arr.copy())

    max = arr2[len(arr2) - 1]
    second = arr2[len(arr2) - 2]

    for i in range(len(arr)):
        value = arr[i]
        if max != value:
            print(max)
        else:
            print(second)



def rank(arr):
    lastIndex = len(arr) - 1
    while lastIndex > 0:

        for i in range(lastIndex):
            if arr[i + 1] < arr[i]:
                tmp = arr[i + 1]
                arr[i + 1] = arr[i]
                arr[i] = tmp

        lastIndex = lastIndex - 1

    return arr



N = int(input())
arr = []
for i in range(N):
    arr.append(int(input()))

calculate(arr)