"Here's a puzzle game. I call it Reverse the List of Integers."

Re:"Here's a puzzle game. I call it Reverse the List of Inte... by Tao3300 on Friday April 12, 2024 @12:20PM (#40014624)

Negative numbers would break the game by making the number of possible splits infinite. E.g. 1 could split into [-2, 3], [-3, 4], [-4, 5], etc.

It also violates Rule 1 because one of the splits is larger than the original number.

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Re:"Here's a puzzle game. I call it Reverse the List of Inte... by basil-rash on Friday April 12, 2024 @12:44PM (#40014926)

Rules say you can’t ever produce a number greater than the original largest number, so the possibilities will always be finite. (fixed number of ways to make a list of distinct integers that sum to N such that all values are <=M).

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Re:"Here's a puzzle game. I call it Reverse the List of Inte... by kleiba on Sunday April 14, 2024 @01:39PM (#40032803)

You're right in the first sentence, but you're second sentence if we're talking about splitting the largest original number itself that way.

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