Problem solutions

Below you can find some proposed solutions to the problems posted here.

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This post contains my proposed solution to Problem #024 - hats in a line. Please do not read this solution before making a serious attempt at the problem.

This post contains my proposed solution to Problem #023 - guess the polynomial. Please do not read this solution before making a serious attempt at the problem.

This post contains my proposed solution to Problem #022 - coprimes in the crowd. Please do not read this solution before making a serious attempt at the problem.