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Omni-MATH / There are n≥2 coins, each with a different positive integer value. Call an integer m sticky if some subset of these n coins have total value m. We call the entire set of coins a st…

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problem

There are n≥2n \geq 2 coins, each with a different positive integer value. Call an integer mm sticky if some subset of these nn coins have total value mm. We call the entire set of coins a stick if all the sticky numbers form a consecutive range of integers. Compute the minimum total value of a stick across all sticks containing a coin of value 100.
Plain-text mathematical notation (without MathML)
There are n≥2 coins, each with a different positive integer value. Call an integer m sticky if some subset of these n coins have total value m. We call the entire set of coins a stick if all the sticky numbers form a consecutive range of integers. Compute the minimum total value of a stick across all sticks containing a coin of value 100.
Original LaTeX notation
There are $n \geq 2$ coins, each with a different positive integer value. Call an integer $m$ sticky if some subset of these $n$ coins have total value $m$. We call the entire set of coins a stick if all the sticky numbers form a consecutive range of integers. Compute the minimum total value of a stick across all sticks containing a coin of value 100.

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Source and history

task_id
728e0518-c93e-558f-b7fb-7fc2244db55d
task_key
test--728e0518-c93e-558f-b7fb-7fc2244db55d
task_revision_id
1
config / split
/ test

Official source

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