Detailed description of the Daily StoStone

Every day 6 new StoStone puzzles. Solve the puzzle by following the rules. The game area is divided in regions. All black cells in a region must be connected horizontally or vertically. A cell with a number indicates how many cells in the region must be blackened. In regions without a number any amount of cells may be blackened (at least one). Black cells cannot touch across regions horizontally or vertically and if all stones "fall down", they must cover exactly the bottom half of the grid.