Create Levels for Puzzle Game

This puzzle game is simple: The board is laid out in a 10 x 7 grid. On this grid are pads. The player can start on any pad. Player can jump up to two squares (but cannot jump diagonally). When a player jumps OFF of a pad, it disappears. When a player jumps OVER a pad, nothing happens to that pad. Grid also contains 3 stars. The stars could be on a pad, or they could be in between pads. When the player jumps on or over a star, they collect the star. Stars disappear from the board every 30 seconds (so at 90 seconds, all three stars will be gone). The player wins the game by jumping onto every pad and finally on to the "exit" which is a special pad that must be jumped on last, effectively clearing the board (except for the "exit" pad). Player does NOT need to collect all stars to win, only clear all pads and jump on the exit. Stars could be arranged so that they are optional (i.e. the level could be solved without collecting all stars) or the challenge could be that the level is difficult and it's a race against time to collect the stars. Project is to design 60 levels AND their solutions. You will need illustrate both the position of the pads, player starting position, star locations (and order in which the stars disappear from the map), and the best path through the map. Levels should start out very basic and get progressively harder. Note: This is actually going into a game that has basically been completely designed minus the final art and the levels. Examples of the game mechanics can be provided as a video or screenshots if any of this is not clear.