VMO 1998 Problem 5

What is the minimum value of √( (x+1) $^2$ + (y-1) $^2$ ) + √( (x-1) $^2$ + (y+1) $^2$ ) + √( (x+2) $^2$ + (y+2) $^2$ )?

Community text Kalva (prase.cz mirror). Quoted with source.

Solutions

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