The Will Rogers phenomenon is the apparent paradox which occurs when, upon moving an element from one set of numbers to another set, the means (averages) of both sets increase.
For example, the sets { 1, 2, 3 } and { 4, 5, 6 } have means 2 and 5, respectively. Moving the 4 to the first set would increase its mean to 2.5, while also increasing the mean of the second set to 5.5.
More precisely, we will consider the phenomenon to have occured if, upon moving a number between sets, the mean of both of the sets has strictly increased. An element may be moved from a set only if the set contains at least two elements.
You are to move exactly one number from one of the sets to the other. Given the initial configuration of the sets as two int[]s, set1 and set2, return the number of elements which trigger the phenomenon when chosen to be moved.
