Question: Create a program that uses a recursive function to check whether a number is in a list of Sorted numbers. In order to understand recursion

Create a program that uses a recursive function to check whether a number is in a list of

Sorted numbers.

In order to understand recursion read your note from pre-requisite course (district math)

Specifications

The program should begin by generating list of 10 random numbers from 1 to 100.

The program should allow the user to enter a number from 1 to 100. Then, it should display whether that number is or isnt in the list of random numbers.

Use binary search algorithm to search the list of random numbers

Sample console output

Binary Search

Enter 'x' to exit

Random numbers: [13, 16, 18, 29, 32, 71, 71, 77, 78, 90]

Enter a number from 1 to 100: 1

1 is NOT in random numbers.

Enter a number from 1 to 100: 32

32 is in random numbers.

Enter a number from 1 to 100: 100

100 is NOT in random numbers.

Design: Draw an UML class diagram for the class and coding

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