1975 Canadian MO Problems/Problem 3

Problem 3

For each real number $r$ , $[r]$ denotes the largest integer less than or equal to $r$ , $e.g.,$ $[6] = 6, [\pi] = 3, [-1.5] = -2.$ Indicate on the $(x,y)$ -plane the set of all points $(x,y)$ for which $[x]^2+[y]^2 = 4$ .

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1975 Canadian MO (Problems)
Preceded by Problem 2	1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 •	Followed by Problem 4

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1975 Canadian MO Problems/Problem 3

Problem 3

Solution