benchmarks.wiki / Public workspace
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Omni-MATH / Manya has a stack of 85=1+4+16+64 blocks comprised of 4 layers (the k th layer from the top has 4^(k−1) blocks). Each block rests on 4 smaller blocks, each with dimensions half tho…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
problem
Manya has a stack of blocks comprised of 4 layers (the th layer from the top has blocks). Each block rests on 4 smaller blocks, each with dimensions half those of the larger block. Laura removes blocks one at a time from this stack, removing only blocks that currently have no blocks on top of them. Find the number of ways Laura can remove precisely 5 blocks from Manya's stack (the order in which they are removed matters).
Plain-text mathematical notation (without MathML)
Manya has a stack of 85=1+4+16+64 blocks comprised of 4 layers (the k th layer from the top has 4^(k−1) blocks). Each block rests on 4 smaller blocks, each with dimensions half those of the larger block. Laura removes blocks one at a time from this stack, removing only blocks that currently have no blocks on top of them. Find the number of ways Laura can remove precisely 5 blocks from Manya's stack (the order in which they are removed matters).
Original LaTeX notation
Manya has a stack of $85=1+4+16+64$ blocks comprised of 4 layers (the $k$ th layer from the top has $4^{k-1}$ blocks). Each block rests on 4 smaller blocks, each with dimensions half those of the larger block. Laura removes blocks one at a time from this stack, removing only blocks that currently have no blocks on top of them. Find the number of ways Laura can remove precisely 5 blocks from Manya's stack (the order in which they are removed matters).Discussion
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Source and history
- task_id
32585e37-fd63-52f4-b60d-904ce7d4e206- task_key
test--32585e37-fd63-52f4-b60d-904ce7d4e206- task_revision_id
- 1
- config / split
- / test
initial import