benchmarks.wiki / Public workspace
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Omni-MATH / The numbers 1,2,3,…,1024 are written on a blackboard. They are divided into pairs. Then each pair is wiped off the board and non-negative difference of its numbers is written on th…
Problem
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problem
The numbers are written on a blackboard. They are divided into pairs. Then each pair is wiped off the board and non-negative difference of its numbers is written on the board instead. numbers obtained in this way are divided into pairs and so on. One number remains on the blackboard after ten such operations. Determine all its possible values.
Plain-text mathematical notation (without MathML)
The numbers 1,2,3,…,1024 are written on a blackboard. They are divided into pairs. Then each pair is wiped off the board and non-negative difference of its numbers is written on the board instead. 512 numbers obtained in this way are divided into pairs and so on. One number remains on the blackboard after ten such operations. Determine all its possible values.
Original LaTeX notation
The numbers $1, 2, 3, \dots, 1024$ are written on a blackboard. They are divided into pairs. Then each pair is wiped off the board and non-negative difference of its numbers is written on the board instead. $512$ numbers obtained in this way are divided into pairs and so on. One number remains on the blackboard after ten such operations. Determine all its possible values.
Discussion
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Source and history
- task_id
1f7c91ba-871d-5af8-bc6f-e808ae59d5d2- task_key
test--1f7c91ba-871d-5af8-bc6f-e808ae59d5d2- task_revision_id
- 1
- config / split
- / test
initial import