Arguably a variant of Battleships, a significant difference is that solvers are not told how many clouds there are.
This puzzle appears in "Challenge Your Brain Math & Logic Puzzles" (Dave Tuller & Michael Rios, Puzzle Wright Press).
Puzzle and Goal
An unsolved puzzle consists of a rectangular grid with numbered clues at the end of each rank.
The goal is to color rectangular regions (cloud) to satisfy the clues.
The solved grid must satisfy the following conditions:
Rectangular regions do not neighbor each other (even diagonally).
Clues represent the number of colored cells in the corresponding rank.