Problem 963
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Comments, questions and clarifications about PE problems.
As your posts will be visible to the general public you are requested to be thoughtful in not posting anything that might explicitly give away how to solve a particular problem.
This forum is NOT meant to discuss solution methods for a problem.
In particular don't post any code fragments or results.
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Don't start begging others to give partial answers to problems
Don't ask for hints how to solve a problem
Don't start a new topic for a problem if there already exists one
See also the topics:
Don't post any spoilers
Comments, questions and clarifications about PE problems.
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byhill
- Posts: 29
- Joined: Mon Aug 01, 2022 3:13 am
Problem 963
Presumably, a player loses if they don't have any available moves to play? I don't think this is mentioned explicitly.
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philiplu
- Posts: 92
- Joined: Wed Aug 02, 2017 8:51 pm
- Location: Redmond, WA, USA
Re: Problem 963
Correct. That's pretty standard with combinatorial games - the winner is the last person to make a move; the loser is the first person who is unable to move for whatever reason. The alternative to this "normal play condition" is a misère game, where the first player unable to move wins, but that's less common. I don't think there's been a PE problem in CGT operating by misère rules, but I could be forgetting a case.
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phatmo
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Momotaro
- Posts: 2
- Joined: Mon Aug 26, 2024 6:50 am
Re: Problem 963
Is it permissible to remove the leading 1 from 101 to make it 1?
I sensed two possible interpretations from the statement “Leading zeros are not allowed in any ternary expansion”:
* Case 1: Since leading 0s are not allowed, transitioning from 101 to 01 is not permitted.
* Case 2: Since leading 0s are not allowed, removing the leading 1 from 101 causes an immediate transition to 1.
I sensed two possible interpretations from the statement “Leading zeros are not allowed in any ternary expansion”:
* Case 1: Since leading 0s are not allowed, transitioning from 101 to 01 is not permitted.
* Case 2: Since leading 0s are not allowed, removing the leading 1 from 101 causes an immediate transition to 1.
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amic
- Posts: 4
- Joined: Mon Feb 17, 2025 6:06 pm