Another puzzle: Food for thought

Satan-Cantor Puzzle

Rules of the game

• Version 1: A single natural number $n \geq 0$
• Version 2: Any integer (positive and negative)
• Version 3: 2 integers (order also must be guessed)
• Version 4: k integers (k is known to Cantor)
• Version 5: k integers (k unknown to Cantor)