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Rounded Roots

Problem

A special number machine will accept any whole number, find its square root and then output the result rounded off to the nearest whole number.
For example,

Input   Output
32mapsradical32 maps 5.6568542...maps6

If the output is 6, one possible input is 32, but which other numbers could have gone into the machine to give an output of 6?

Problem ID: 47 (May 2001)     Difficulty: 2 Star

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