Chinese-Remainder-Theorem | given set of modular constraints
kandi X-RAY | Chinese-Remainder-Theorem Summary
kandi X-RAY | Chinese-Remainder-Theorem Summary
This program solves the multiple congruences given by the integer arrays constraints and mods. It returns a single congruence via the Chinese Remainder Theorem.
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- Runs the algorithm
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- Returns the least positive integer equivalent to a mod m
Chinese-Remainder-Theorem Key Features
Chinese-Remainder-Theorem Examples and Code Snippets
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QUESTION
I have been trying to solve Advent of Code 2020 day 13 part 2 task. I found a lot of hints talking about something called Chinese Remainder Theorem. I have tried some implementations following npm's nodejs-chinesse-remainders but this implementation since to be quite old (2014) and also requires extra libraries for Big Int cases.
How could I implement the modular multiplicative inverse ? How could I refactor the CRT algorithm define in the npm module for which I provided a link?
...ANSWER
Answered 2020-Dec-13 at 13:07As a self response and with the purpose of make a wiki to find this solution for those who in the future need a CRT implementation in javascript/typescript:
First think is to implement Modular Multiplicative Inverse, for this task what we try to find is an x such that:
a*x % modulus = 1
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Install Chinese-Remainder-Theorem
You can use Chinese-Remainder-Theorem like any standard Java library. Please include the the jar files in your classpath. You can also use any IDE and you can run and debug the Chinese-Remainder-Theorem component as you would do with any other Java program. Best practice is to use a build tool that supports dependency management such as Maven or Gradle. For Maven installation, please refer maven.apache.org. For Gradle installation, please refer gradle.org .
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