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Omni-MATH / Let N be the number of distinct roots of ….GivelowerandupperboundsLandUonN.If0<L …,thenyourscorewillbe[(23)/((U/L)^(1.7))⌋. Otherwise, your score will be 0 .

Problem

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problem

Let NN be the number of distinct roots of \prod_{k=1}^{2012}\left(x^{k}-1\right).Givelowerandupperbounds. Give lower and upper bounds Land and Uon on N.If. If 0<L \leq N \leq U,thenyourscorewillbe[23(U/L)1.7⌋, then your score will be \left[\frac{23}{(U / L)^{1.7}}\right\rfloor. Otherwise, your score will be 0 .
Plain-text mathematical notation (without MathML)
Let N be the number of distinct roots of \prod_{k=1}^{2012}\left(x^{k}-1\right).GivelowerandupperboundsLandUonN.If0<L \leq N \leq U,thenyourscorewillbe[(23)/((U/L)^(1.7))⌋. Otherwise, your score will be 0 .
Original LaTeX notation
Let $N$ be the number of distinct roots of \prod_{k=1}^{2012}\left(x^{k}-1\right)$. Give lower and upper bounds $L$ and $U$ on $N$. If $0<L \leq N \leq U$, then your score will be \left[\frac{23}{(U / L)^{1.7}}\right\rfloor$. Otherwise, your score will be 0 .

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Source and history

task_id
44e75748-6924-5c9c-a4ed-85c204ca61db
task_key
test--44e75748-6924-5c9c-a4ed-85c204ca61db
task_revision_id
1
config / split
/ test

Official source

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