To help you navigate the challenge of catching all the chess pawns with the jump of the horse (knight), let's break down the task and provide you with the necessary hints and strategies for each difficulty level.

Game Mechanics Recap:

• Objective: Catch all pawns using the knight's move, taking each pawn only once.
• Knight's Move: The knight moves in an L-shape: two squares in one direction and one square perpendicular, or one square in one direction and two squares perpendicular.
• Pawns: Once a pawn is taken, it's removed from the board.
• Pattern: Pawn positions change according to a predetermined pattern after each move.
• Commands:
  • back - Undo the last move.
  • reset - Restart the game.
• Hints:
  • Green Pawns: Start with these.
  • Blue Pawns: End with these.

Difficulty Levels and Strategies:

Easy (6 Pawns):

• Pattern: The pawns might shift one square to the right after each move.
• Hint for Green Pawns: Start with the pawn in the center if possible. This gives you more options for subsequent moves.
• Hint for Blue Pawns: Aim to finish with the pawn in the corner or edge, as these are often harder to reach last.

Medium (10 Pawns):

• Pattern: Pawns might shift diagonally (one square up and one square right) after each move.
• Hint for Green Pawns: Begin with a pawn that allows the knight to access a cluster of pawns easily. Look for a pawn that, once taken, opens up paths to at least two more pawns.
• Hint for Blue Pawns: The last pawn should be positioned such that it's reachable from the second-to-last pawn with a single knight's move.

Hard (20 Pawns):

• Pattern: Pawns could shift in a more complex pattern, like two squares up and one square left.
• Hint for Green Pawns: Start with a pawn that's part of a larger group. Consider starting in the middle of the board where pawns are denser.
• Hint for Blue Pawns: Plan to end on a pawn that might be isolated after the pattern shifts. Ensure it's reachable from the second-to-last pawn.

Master (50 Pawns):

• Pattern: The pattern could be highly complex, such as shifting in a spiral or in a wave-like motion across the board.
• Hint for Green Pawns: Begin with a pawn that's part of a strategic path that can lead you through as many pawns as possible in the early stages. Look for a pawn that, once taken, creates a chain reaction of accessible pawns.
• Hint for Blue Pawns: The final pawn should be carefully chosen after mapping out the entire sequence. It should be reachable from the second-to-last pawn, and its position after the final shift should be considered.

General Tips:

• Plan Ahead: Always think several moves ahead, considering the pattern of pawn movement.
• Centralize: Starting from the center often gives you more flexibility in your moves.
• Use the back Command: If you find yourself stuck, use the back command to explore different paths.
• Reset if Necessary: Don't hesitate to use the reset command if you realize a different starting pawn might lead to a better outcome.

By following these hints and understanding the mechanics, you should be able to successfully navigate the challenge of catching all the pawns with your knight. Good luck!