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OlympiadBench / 2151 / Let n≥1 be an integer. What is the maximum number of disjoint pairs of…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

answer type

Expression

is multiple answer

false

language

English

question

Let

n \geq 1

be an integer. What is the maximum number of disjoint pairs of elements of the set

\{1,2, \ldots, n\}

such that the sums of the different pairs are different integers not exceeding

n

Plain-text mathematical notation (without MathML)

Let n≥1 be an integer. What is the maximum number of disjoint pairs of elements of the set {1,2,…,n} such that the sums of the different pairs are different integers not exceeding n ?

Original LaTeX notation

Let $n \geq 1$ be an integer. What is the maximum number of disjoint pairs of elements of the set $\{1,2, \ldots, n\}$ such that the sums of the different pairs are different integers not exceeding $n$ ?

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 2151
task_id: 0cc2c95a-d9c1-5869-b615-3ed61178355b
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--2151
task_revision_id: 1
config / split: OE_TO_maths_en_COMP / train

Official source

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