Write a program called NumberPlay.java that determines if a 6-digit number, when the digits are added together, is modularly divisible by 11. To find this out you will need to randomly generate or enter a 6-digit number. Each digit will then be added together and then modularly divided by 11, to see if its digits are evenly divided by 11.

Number Sum Formula:

d₁ + d₂ + d₃ + d₄ + d₅ + d₆ 0 (mod 11) (where d₁ is the first digit of the number, starting on the left-hand side, d₂ is the next digit, and so on.)

Example 1, if the number was 674398, then you would add up:

6 + 7 + 4 + 3 + 9 + 8 = 37 % 11 = 4, so not divisible by 11.

Example 2, if the number was 103765, then you would add up:

1 + 0 + 3 + 7 + 6 + 5 = 22 % 11 = 0, so divisible by 11.

The program will first ask the user if they would like to randomly generate a number or enter it. If the user picks the randomly generated number, the program will use Math.random() to randomly generate the 6-digit number and will display the 6-digit number to the user. If the user wants to enter the number, then the program will ask the user for a 6-digit number.

The program will output whether the number is divisible by 11 or not divisible by 11. If it is, the program will display the number with a space after it and the text, is divisible by 11. If it is not, then the computer displays the number with a space after it and the text, is not divisible by 11.

The program will also be able to handle incorrect integer input. If the user does not enter a number that is expected the program will state, Incorrect input.

Here are some sample runs:

Would you like to randomly generate a number (1) or enter it yourself (2)? (Note this is one line of output)

2

Enter a 6-digit number

674398

674398 is not divisible by 11

Would you like to randomly generate a number (1) or enter it yourself (2)? (Note this is one line of output)

1

103765

103765 is divisible by 11

Would you like to randomly generate a number (1) or enter it yourself (2)? (Note this is one line of output)

25

Incorrect input

Would you like to randomly generate a number (1) or enter it yourself (2)? (Note this is one line of output)

2

Enter a 6-digit number

743

Incorrect input