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Little Petya very much likes sequences. However, recently he received a sequence as a gift from his mother.
Petya didn't like it at all! He decided to make a single replacement. After this replacement, Petya would like to the sequence in increasing order.
He asks himself: What is the lowest possible value I could have got after making the replacement and sorting the sequence?

About the replacement

Choose exactly one element from the sequence and replace it with another integer > 0. You are not allowed to replace a number with itself, or to change no number at all.

Task

Find the lowest possible sequence after performing a valid replacement, and sorting the sequence.

Input:

Input contains sequence with N integers. All elements of the sequence > 0. The sequence will never be empty.

Output:

Return sequence with N integers β€” which includes the lowest possible values of each sequence element, after the single replacement and sorting has been performed.

Examples:

([1,2,3,4,5])  =>  [1,1,2,3,4]
([4,2,1,3,5])  =>  [1,1,2,3,4]
([2,3,4,5,6])  =>  [1,2,3,4,5]
([2,2,2])      =>  [1,2,2]
([42])         =>  [1]