Solve Inside Outside Corral Logic Puzzle Challenge

The Inside/Outside Corral puzzle first caught my attention when it appeared in the US Puzzle Championship 2009. I immediately liked the concept because it adds an interesting twist to the classic Corral puzzle by allowing clues to describe either the inside or outside of the loop. Inspired by this innovative puzzle type, I created this puzzle for the 10th 24 Hour Championship. If you enjoy loop puzzles, Corral puzzles, and other logic puzzles that require careful deduction, this puzzle should provide an enjoyable challenge.

Rules of Inside/Outside Corral Puzzle

Draw a single closed loop along the grid lines. If a number is inside the loop, then it equals the count of interior squares that are directly in line (horizontally and vertically) with that number's square, including the square itself. Similarly, if a number is outside the loop, then it equals the count of exterior squares that are directly in line with that number's square, including the square itself.