Fillomino Skyscrapers (Logical Puzzles Series #2)

Welcome to a puzzle that masterfully blends two beloved logic types! This Fillomino Skyscrapers puzzle is the 2nd entry in our Logical Puzzles Series and was created for the Oğuz Atay Puzzle Contest (OAPC) in 2009. It combines the region-filling logic of Fillomino with the visibility counting of Skyscrapers. The rules are multifaceted: fill the grid with numbers so that each number forms a connected region of that same size, and no two adjacent regions can have the same size. Simultaneously, the numbers outside the grid act as Skyscraper clues, indicating how many "buildings" (numbers) are visible from that direction, with larger numbers blocking the view of smaller ones. This print-friendly puzzle offers a rich and rewarding solving experience for those who enjoy a deep logical challenge.

Rules of Fillomino Skyscrapers puzzle

Write a number in each square of the grid. Fields with the same numbers must form horizontally and vertically connected ranges, which consist of as many fields as the number indicates. Two different horizontally or vertically adjacent ranges may not have the same size. The numbers outside the grid indicate how many buildings are visible from that direction.