Title: Law of Averages

Rating: 3/5

The second alteration that gives the puzzle its title is listed in the new rule at the end of the following list.
The official rules:
 The digits 1 through 9 appear in each row and each column exactly once.
 Digits in each shaded region must add to the indicated sum.
 Squares with multiple colors contain a number that’s used in the sum for adjacent regions of each of those colors.
 Remember: numbers can repeat within a shaded region if that doesn't violate the first rule.
 Each corner cell contains a number that is the average of the two cells immediately adjacent to it.
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