## 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 | |||

32 | 32 5.6568542... | 6 |

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