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
if __name__ == "__main__":
    N = input()
    for i in range(int(N)):
        tmpA = input()
        if i == 0:
            A = np.array(int(tmpA))
        else:
            A = np.vstack((A,np.array(int(tmpA))))
    allmaxi = np.argmax(A)
    allmax = np.max(A)
    secondA = np.delete(A,allmaxi,axis=0)
    secondmaxi = np.argmax(secondA)
    secondmax = np.max(secondA)

    for i in range(int(N)):
        if i == allmaxi:
            print(secondmax)
        else:
            print(allmax)