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| Jan 2, 2022 | » | Modular Arithmetic
4 min; updated Feb 12, 2023
Main resource: . What is Modular Arithmetic? Where \(A\) and \(B\) are integers, we can write: $$ \frac{A}{B} = Q \text{ remainder } R $$ Using the same \(A, B, Q, \text{ and } R\) as above, we have: $$ A \text{ mod } B = R $$ \(A \text{ mod } B\) can be visualized as taking \(A\) steps on a clock that runs from \(0\) to \(B-1\). If the number is positive we step clockwise, if it’s negative we step counterclockwise.... |
| Jan 7, 2022 | » | 019. Counting Sundays
6 min; updated Jan 7, 2022
Problem Statement You are given the following information, but you may prefer to do some research for yourself: 1 Jan 1900 was a Monday. Thirty days has September, April, June and November. All the rest have thirty-one, Saving February alone, Which has twenty-eight, rain or shine. And on leap years, twenty-nine. A leap year occurs on any year evenly divisible by 4, but not on a century unless it is divisible by 400.... |