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OlympiadBench / 1612 / Find (in closed form) the difference between the number of positive integers at…

Problem

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question

Find (in closed form) the difference between the number of positive integers at most

2^{2017}

with even weight and the number of positive integers at most

2^{2017}

with odd weight.

Plain-text mathematical notation (without MathML)

Find (in closed form) the difference between the number of positive integers at most 2²⁰¹⁷ with even weight and the number of positive integers at most 2²⁰¹⁷ with odd weight.

Original LaTeX notation

Find (in closed form) the difference between the number of positive integers at most $2^{2017}$ with even weight and the number of positive integers at most $2^{2017}$ with odd weight.

answer type

Numerical

is multiple answer

false

language

English

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 1612
task_id: c6950168-ade5-5cce-94b5-7461b486e30e
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--1612
task_revision_id: 3
config / split: OE_TO_maths_en_COMP / train

Official source

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