Rainclouds

Rainclouds (Weather Radar, Radar) is a logic puzzle. Your task is to shade some cells in the grid to form rectangular “rain clouds”.

Rules: Colour the grey cells of the grid black or white. The black cells must form rectangular areas (rain clouds), and their side length must be at least 2.
A number at the left and top of the grid indicates how many cells in the respective row or column are to be blackened. The rain clouds must not be adjacent to each other, not even diagonally.