I played around with what I thought were the rules to Oasis today, and came up with this variant.

Rules Shade some cells, to leave a connected area of unshaded cells that includes all given numbers and doesn’t cover any 2×2 square. Some shaded cells are given. Numbers indicate how many other numbers can be reached through unshaded, unnumbered cells.

Example (a poor example: shaded cells can be adjacent)

Puzzles