Write a method in Java to determine if an array contains two elements whose product (x*y) is equal to the sum of the entire array. The two elements may have the same value but they should have different indexes. Print out a line that looks like this.

Two elements with products equal to array sum: 2 and 3

Put no after the colon instead of "x and y" if there is no such x and y according to the definition. Your code should not call any methods from Java or any 3rd party to assist your work. Instead, you should perform all calculations yourself using basic math operations.