Cave: C1

This is one of my favorite puzzle. I have created many puzzles of this type. Will be posting all of them soon. This puzzle was part of World Puzzle Championship many times. It also appeared in Google US Puzzle Championship.

Draw a loop (along the sides of the small squares) into the grid that does not intersect nor touch itself (its interior is called a cave) so that it contains all the numbers inside and each number reveals the number of cells that are visible from the given number's square (which is included). No part of the cave may have a size of 2x2.

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