Suppose I've a number x>1, and have decreasing positive powers of x in an array.
ie - a_0 >= a_1 >= a_2.....
Now suppose I put x^a_0 into 1 set and want to put the x^a_i into another set, so as to decreasing the difference of 2 sets' sum, so I keep putting x^a_1, x^a_2 ...... into 2nd set, is it sure that there will come a time when the sum of elements in the 2 sets will exactly be same?