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Programming Assignment III- COSC 1336 An interesting problem in mathematics is called the "necklace problem". This problem begins with two single-digit numbers. The next number in the sequence is obtained by adding the first two numbers together and saving only the ones digit. This process is repeated until the "necklace" closes by returning to the original two numbers. For example, if the starting two numbers are 1 and 8, twelve steps are required to close the necklace: 189763 92134718 1. Create a Necklace Java program that prompts the user to enter two single-digit integers and then displays the sequence of numbers. The application output should look similar to: Enter the first starting number: 1 Enter the second starting number: 8 1 897 6 3 9 2 1 3 47 18