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Omni-MATH / The following image is 1024 pixels by 1024 pixels, and each pixel is either…

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problem

The following image is 1024 pixels by 1024 pixels, and each pixel is either black or white. The border defines the boundaries of the image, but is not part of the image. Let aa be the proportion of pixels that are black. Estimate A=⌊10000a⌋A=\lfloor 10000 a\rfloor. An estimate of EE will earn ⌊20min(AE,EA)12⌋\left\lfloor 20 \min \left(\frac{A}{E}, \frac{E}{A}\right)^{12}\right\rfloor points.
Plain-text mathematical notation (without MathML)
The following image is 1024 pixels by 1024 pixels, and each pixel is either black or white. The border defines the boundaries of the image, but is not part of the image. Let a be the proportion of pixels that are black. Estimate A=⌊10000a⌋. An estimate of E will earn ⌊20min((A)/(E),(E)/(A))¹²⌋ points.
Original LaTeX notation
The following image is 1024 pixels by 1024 pixels, and each pixel is either black or white. The border defines the boundaries of the image, but is not part of the image. Let $a$ be the proportion of pixels that are black. Estimate $A=\lfloor 10000 a\rfloor$. An estimate of $E$ will earn $\left\lfloor 20 \min \left(\frac{A}{E}, \frac{E}{A}\right)^{12}\right\rfloor$ points.

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Source and history

task_id
cd674d6f-aa31-57e0-9656-fc9187ce287a
task_key
test--cd674d6f-aa31-57e0-9656-fc9187ce287a
task_revision_id
1
config / split
/ test

Official source

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