Lamps (481)

Find out the intensity of every lamp that is located in every empty cell outside the grid. Some lamps may have zero intensity. Other lamps shine into the grid in one horizontal or vertical and two diagonal directions. The intensity of the lamp is given by its number (integer from 0 to the N where N is the inner size of the grid) and it indicates the number of cells lit by the lamp in each direction. Numbers given in the grid indicate how many lamps shine at the corresponding cell.

Reference: WPC 2016 (65)