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Omni-MATH / Let a₁,a₂,⋯,a_(n) be a permutation of 1,2,⋯,n. Among all possible permutations, find the minimum of ∑_(i=1)^(n)min{a_(i),2i−1}.

Problem

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problem

Let

a_1,a_2,\cdots,a_n

be a permutation of

1,2,\cdots,n

. Among all possible permutations, find the minimum of

\sum_{i=1}^n \min \{ a_i,2i-1 \}.

Plain-text mathematical notation (without MathML)

Let a₁,a₂,⋯,a_(n) be a permutation of 1,2,⋯,n. Among all possible permutations, find the minimum of  ∑_(i=1)^(n)min{a_(i),2i−1}.

Original LaTeX notation

Let $a_1,a_2,\cdots,a_n$ be a permutation of $1,2,\cdots,n$. Among all possible permutations, find the minimum of  $$\sum_{i=1}^n \min \{ a_i,2i-1 \}.$$

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task_id: 50e44d22-4c81-517c-b313-c9b928995160
task_key: test--50e44d22-4c81-517c-b313-c9b928995160
task_revision_id: 3
config / split: / test

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