Normal sudoku rules apply. Along a thermometer, digits must increase from the bulb to the tip. Place 9 straight, vertical thermometers, each of different lengths, in the grid. All the thermometers must start from row 9 of the grid. Ie the thermometers all have their bulbs in row 9. No two 9s in the grid share a diagonal. The clues outside the grid are skyscraper clues ie they indicate how many numbers can be "seen" when looking into the grid along the column. A number is visible only when it is larger than all numbers that appear before it along the line of sight.