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.

Examples

Input

3
1
4
3


Output

4
3
4


Input

2
5
5


Output

5
5
import copy
def calcmax(a,b,fst,scd,n):
    for i in xrange(n):
        if fst == a[i]:
            count = i

    for i in xrange(n):
        if count == i:
            print scd
        else:
            print fst

if __name__ == '__main__':
    n = int(raw_input())
    a = [int(raw_input()) for i in xrange(n)]
    print("")

    fst = max(a)

    b = copy.deepcopy(a)
    b.remove(fst)

    scd = max(b)

    calcmax(a,b,fst,scd,n)
