Write a Java program that calculates the sum of the numbers from 1 to 1,000,000 (including 1 and 1,000,000) but omitting the numbers that are divisible by three and the numbers whose hundred digit is 2 or 3 (for example 1200 or 3312). Explain your solution. A work submitted without sufficient explanations may be assigned the score of zero, without right of recovery. You must justify all the qualifiers used (private, public, protected, static): you cannot use the keyword "static" without justifying it. Hint: the operators / and% are useful for this problem. Hint: can the sum be represented by a variable of type int? Make sure to discuss this point in your solution