Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Check whether a series of operations yields a given number with JavaScript Recursion
By starting from the number 1 and repeatedly either adding 5 or multiplying by 3, an infinite amount of new numbers can be produced. We are required to write a function that, given a number, tries to find a sequence of such additions and multiplications that produce that number. And returns a boolean based on the fact whether or not there exists any such sequence
For example,
The number 13 could be reached by first multiplying by 3 and then adding 5 twice, so the function should return true for 13. Whereas the number 15 cannot be reached at all, so the function should return false for 15.
Approach
We will use a recursive approach, where we repeatedly try all possibilities that lead to the desired solution. The code for this approach will be −
Example
const sequenceExists = (num, curr = 1) => {
if(curr > num){
return false;
};
if(curr === num){
return true;
};
return sequenceExists(num, curr+5) || sequenceExists(num, curr*3);
};
console.log(sequenceExists(18));
console.log(sequenceExists(15));
console.log(sequenceExists(32));
console.log(sequenceExists(167));
console.log(sequenceExists(17));
console.log(sequenceExists(1119));Output
The output in the console will be −
true false true true false true
55 Views
