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)

# -*- coding: utf-8 -*-

N = int(input())

values = [0]*N
max_value_count = 0
max_value = 0
next_max_value = max_value

for i in range(N):
    in_value = int(input())
    values[i] = in_value

    if in_value == max_value:
        max_value_count = max_value_count + 1
    elif in_value > max_value:
        next_max_value = max_value
        max_value = in_value
        max_value_count = 1
    elif in_value > next_max_value:
        next_max_value = in_value

for row in range(N):
    if values[row] == max_value and max_value_count == 1:
        print(next_max_value)
    else:
        print(max_value)