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|1-|2-...|(n-1)-|n-x||...||=x

Source: China Northern MO 2011 p8 CNMO

May 4, 2024

algebra

Problem Statement

It is known that

n

is a positive integer, and the real number

x

satisfies

|1-|2-...|(n-1)-|n-x||...||=x.

Find the value of

x