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)

import numpy as np
N = int(input()) #1行目のNを取得する
s = [input() for i in range(N)] #複数行の数値の入力を取得

max_ind = [i for i, a in enumerate(s) if a == max(s)]
max_num = max(s)

if len(max_ind) > 1:
    for i in range(N):
        print(max_num)

else:
    max_ind = s.index(max(s))
    max_num = max(s)
    s.pop(max_ind)
    max2_num = max(s)

    for i in range(N):
        if i == max_ind:
            print(max2_num)
        else:
            print(max_num)