Law of Averages

Title: Law of Averages

Rating: 3/5

Some fun alterations this week.  In the intersections of rows 2 and 8 and columns 2 and 8, the regions overlap (and the colors are the RGB-averages of the colors of the overlapping regions).  So, for example, the cell in row 8, column 2 belongs to both the horizontal and vertical shaded region passing through it.

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.