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OlympiadBench / 1750 / A diagonal of a regular 2006-gon is called odd if its endpoints divide the…

Problem

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answer type

Numerical

is multiple answer

false

language

English

question

A diagonal of a regular 2006-gon is called odd if its endpoints divide the boundary into two parts, each composed of an odd number of sides. Sides are also regarded as odd diagonals.

Suppose the 2006-gon has been dissected into triangles by 2003 nonintersecting diagonals. Find the maximum possible number of isosceles triangles with two odd sides.

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 1750
task_id: 4648e50b-ff81-5ab4-b3de-2bb7e04d7d57
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--1750
task_revision_id: 1
config / split: OE_TO_maths_en_COMP / train

Official source

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