Problem: the number 70 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?
Rationale: "i think brute force with some common sense should be used to solve this problem . write down all perfect squares less than 70 : 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 . now , 70 should be the sum of 3 of those 8 numbers . also to simplify a little bit trial and error , we can notice that as 70 is an odd numbers then either all three numbers must be odd ( odd + odd + odd = odd ) or two must be even and one odd ( even + even + odd = odd ) . we can find that 60 equals to 9 + 25 + 36 = 3 ^ 2 + 5 ^ 2 + 6 ^ 2 = 70 - - > 3 + 5 + 6 = 14 . answer : d ."
annotated_formula: add(add(add(const_4, 3), add(3, const_2)), 3)