CF135A.Replacement

普及/提高-

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题目描述

Little Petya very much likes arrays consisting of nn integers, where each of them is in the range from 11 to 10910^{9} , inclusive. Recently he has received one such array as a gift from his mother. Petya didn't like it at once. He decided to choose exactly one element from the array and replace it with another integer that also lies in the range from 11 to 10910^{9} , inclusive. It is not allowed to replace a number with itself or to change no number at all.

After the replacement Petya sorted the array by the numbers' non-decreasing. Now he wants to know for each position: what minimum number could occupy it after the replacement and the sorting.

输入格式

The first line contains a single integer nn ( 1<=n<=1051<=n<=10^{5} ), which represents how many numbers the array has. The next line contains nn space-separated integers — the array's description. All elements of the array lie in the range from 11 to 10910^{9} , inclusive.

输出格式

Print nn space-separated integers — the minimum possible values of each array element after one replacement and the sorting are performed.

输入输出样例

  • 输入#1

    5
    1 2 3 4 5
    

    输出#1

    1 1 2 3 4
    
  • 输入#2

    5
    2 3 4 5 6
    

    输出#2

    1 2 3 4 5
    
  • 输入#3

    3
    2 2 2
    

    输出#3

    1 2 2
    
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