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 PyPy3 (2.4.0) (judge verdict: Wrong Answer)

N = int(input())

a = []
for i in range(N):
    a.append(int(input()))
a_max = max(a[1:])
print(a_max)
for i in range(1,N-1):
    if(a[i]==a_max):
        a_max = max(a[:i])
        n_a_max = max(a[i+1:])
        if(a_max>=n_a_max):
            print(a_max)
        else:
            print(n_a_max)
    else:
        if(a[i-1]>a_max):
            print(a[i-1])
        else:
            print(a_max)
print(max(a[:N-1]))