$1.$ Write a C$++$ program that does the following:

a$.$ Create a C$++$ file with the name problem$2.$cpp$.$

b$.$ Prompt the user for two positive integers, where the difference between the two integers must be at least $10,$ validating the input until the user enters two positive integers$$whose difference is at least $10.$

c$.$ Print a random integer from the range of the smaller integer to the larger integer.

Sample run of the program:

Enter two positive integers with a difference of at least $10$: $-115$

Invalid input! Try again: $59$

Invalid input! Try again: $1539$

Random integer between $15$ and $39$ is $23.$

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