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: Accepted)

N = int(input())
A = [(i,int(input())) for i in range(N)]
B = sorted(A,key=lambda x:x[1],reverse=True)
cnt = 0
bmax = B[0][1]
for i in range(N):
    if B[i][1]==bmax:
        cnt += 1
    else:break
for i in range(N):
    if A[i][1] < bmax:
        print(bmax)
    elif A[i][1]==bmax and cnt==1:
        print(B[1][1])
    elif A[i][1]==bmax and cnt>1:
        print(bmax)