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Omni-MATH / Suppose Harvard Yard is a 17×17 square. There are 14 dorms located on the perimeter of the Yard. If s is the minimum distance between two dorms, the maximum possible value of s can…

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problem

Suppose Harvard Yard is a 17×1717 \times 17 square. There are 14 dorms located on the perimeter of the Yard. If ss is the minimum distance between two dorms, the maximum possible value of ss can be expressed as a−ba-\sqrt{b} where a,ba, b are positive integers. Compute 100a+b100a+b.
Plain-text mathematical notation (without MathML)
Suppose Harvard Yard is a 17×17 square. There are 14 dorms located on the perimeter of the Yard. If s is the minimum distance between two dorms, the maximum possible value of s can be expressed as a−√(b) where a,b are positive integers. Compute 100a+b.
Original LaTeX notation
Suppose Harvard Yard is a $17 \times 17$ square. There are 14 dorms located on the perimeter of the Yard. If $s$ is the minimum distance between two dorms, the maximum possible value of $s$ can be expressed as $a-\sqrt{b}$ where $a, b$ are positive integers. Compute $100a+b$.

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Source and history

task_id
b2dcbfb5-4652-56b6-b984-1297022e5c9d
task_key
test--b2dcbfb5-4652-56b6-b984-1297022e5c9d
task_revision_id
1
config / split
/ test

Official source

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