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added subsequenceRecursive.js file under Recursion #654

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raklaptudirm merged 2 commits into from
Aug 17, 2021
Merged

added subsequenceRecursive.js file under Recursion #654

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57a52aa
added subsequenceRecursive.js file under Recursion
chiranjeev-thapliyal Aug 16, 2021
eb3c325
Update Recursive/SubsequenceRecursive.js
chiranjeev-thapliyal Aug 17, 2021
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32 changes: 32 additions & 0 deletions Recursive/SubsequenceRecursive.js
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Original file line number Diff line number Diff line change
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/*
* Problem Statement: Find all distinct, non-empty subsequence of given string in lexicographical order using recursive approach.
*
* What is subsequence?
* A Subsequence is sequence obtained by deleting some or no elements without changing the order of elements
* Example: Given a string = "abcd"
* 1. "abc" is a subsequence
* 2. "abd" is a subsequence
* 3. But "ba" is not a subsequence (because order is changed)
*
* What is lexicographical order?
* In simple terms, lexicographical order is dictionary order.
* Example: Given a string = "abcd"
* 1. "abc" will come before "abcd".
* 2. "abd" will come before "ac".
*
* References for meaning of subsequence & lexicographical:
* https://en.wikipedia.org/wiki/Subsequence
* https://en.wikipedia.org/wiki/Lexicographic_order
*/

const subsequence = (str, seq, low) => {
if (low <= str.length && str.length !== 0) {
console.log(seq)
}
for (let i = low; i < str.length; i++) {
subsequence(str, seq + str[i], i + 1)
}
}

const str = 'abcd'
subsequence(str, '', 0)