Product Skyscraper puzzles are a mathematical variant of Skyscraper puzzles. Unlike in regular Skyscraper puzzles the clues represent the product of the number of visible 'skyscrapers' in a row or column.
Each digit placed in the grid should be imagined as a building of that many storeys, so for example a '3' would be a 3-storey building. Each given number outside the grid reveals the product of the number of 'buildings' that can be seen from that point, looking along the adjacent row or column. Every building blocks the view of all buildings of a lower height from view, while taller buildings are still visible beyond it, so in the row 13254 from the left you would see 1, 3 and 5, and from the right you would see 4 and 5.
Every puzzle has a unique solution that can be reached using only reasonable logical deduction. Scroll down to see the solution in the 'sample' section.
