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)

def solve():
    n=int(input())
    num=[]
    def append(num1):
        num.append(num1)
    def count1(num2):
        return num.count(num2)
    for i in range(n):
        a=int(input())
        append(a)
    max1=max(num)
    count=count1(max1)
    if count>1:
        for i in range(n):
            print(max1)
    else:
        for i in range(n):
            if num[i]==max1:
                if i==0:
                    print(max(num[1:]))
                elif i==n-1:
                    print(max(num[:n-1]))
                else:
                    print(max(max(num[:i]),max(num[i+1:])))
            else:
                print(max1)
solve()