If a, b and c are integers, with a^2,b^2 and c^2 each less than or equal to 100 and a+b+c= 2, what is the greatest possible value of the pro

If a, b and c are integers, with a^2,b^2 and c^2 each less than or equal to 100 and a+b+c= 2, what is the greatest possible value of the product abc?