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
#!/usr/bin/env python
# -*- coding: utf-8 -*-

import itertools as ite
import math
import random
import sys
import codecs
from collections import defaultdict

INF = 10 ** 18
MOD = 10 ** 9 + 7

sys.setrecursionlimit(1000000)

N = input()
A = [input() for i in range(N)]
maxA = max(A)
if A.count(maxA) > 1:
    for i in range(N):
        print maxA
else:
    for i in range(N):
        if A[i] == maxA:
            print max(A[:i] + A[i + 1:])
        else:
            print maxA
