Falling Numbers Puzzle

Falling Numbers is a puzzle game that is similar to 2048. In the game of 2048, you slide two of the same number together to become one number. You keep doing this by sliding two numbers until you get the largest number you can possibly get. Falling Numbers is similar except that you drop the numbers from above. If you have a 2 you want to drop it above another 2 so that the numbers combine to become 4. Then you would want to drop 4 on top of another 4. You can also use this opportunity to push two other numbers together if there is no matching number in sight. Your objective is to add together the numbers until you reach the highest number possible without running out of space.