added Backtracking/AllCombinationsOfSizeK

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Chiranjeev
2021-10-06 00:13:25 +05:30
parent 51c5ea48b8
commit 6919e85c01
3 changed files with 12488 additions and 10 deletions

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/*
Problem: Given two numbers, n and k, make all unique combinations of k numbers from 1 to n and in sorted order
What is combinations?
- Combinations is selecting items froms a collections without considering order of selection
Example:
- We have an apple, a banana, and a jackfruit
- We have three objects, and need to choose two items, then combinations will be
1. Apple & Banana
2. Apple & Jackfruit
3. Banana & Jackfruit
To read more about combinations, you can visit the following link:
- https://betterexplained.com/articles/easy-permutations-and-combinations/
Solution:
- We will be using backtracking to solve this questions
- Take one element, and make all them combinations for k-1 elements
- Once we get all combinations of that element, pop it and do same for next element
*/
class Combinations {
constructor (n, k) {
this.n = n
this.k = k
this.combinationArray = [] // will be used for storing current combination
}
findCombinations (high = this.n, total = this.k, low = 1) {
if (total === 0) {
console.log(this.combinationArray)
return
}
for (let i = low; i <= high; i++) {
this.combinationArray.push(i)
this.findCombinations(high, total - 1, i + 1)
this.combinationArray.pop()
}
};
}
/*
Driver Code
Test Case 1: n = 3, k = 2
Test Case 2: n = 4, k = 2
*/
console.log('\nFirst Test Case')
const test1 = new Combinations(3, 2)
test1.findCombinations()
console.log('\nSecond Test Case')
const test2 = new Combinations(4, 2)
test2.findCombinations()

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