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Omni-MATH / Call an positive integer almost-square if it can be written as a⋅b, where a and b are integers and a≤b≤(4)/(3)a. How many almost-square positive integers are less than or equal to …

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problem

Call an positive integer almost-square if it can be written as a⋅ba \cdot b, where aa and bb are integers and a≤b≤43aa \leq b \leq \frac{4}{3} a. How many almost-square positive integers are less than or equal to 1000000 ? Your score will be equal to 25−65|A−C|min(A,C)25-65 \frac{|A-C|}{\min (A, C)}.
Plain-text mathematical notation (without MathML)
Call an positive integer almost-square if it can be written as a⋅b, where a and b are integers and a≤b≤(4)/(3)a. How many almost-square positive integers are less than or equal to 1000000 ? Your score will be equal to 25−65(|A−C|)/(min(A,C)).
Original LaTeX notation
Call an positive integer almost-square if it can be written as $a \cdot b$, where $a$ and $b$ are integers and $a \leq b \leq \frac{4}{3} a$. How many almost-square positive integers are less than or equal to 1000000 ? Your score will be equal to $25-65 \frac{|A-C|}{\min (A, C)}$.

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Source and history

task_id
786d2a43-8607-5775-8184-8b8042b0241f
task_key
test--786d2a43-8607-5775-8184-8b8042b0241f
task_revision_id
1
config / split
/ test

Official source

initial import