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Re-orgainze files and folders in the repository (#172)
* Re-orgainze files and folders in the repository * updating DIRECTORY.md Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
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68
Data-Structures/Array/QuickSelect.js
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68
Data-Structures/Array/QuickSelect.js
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/**
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* QuickSelect is an algorithm to find the kth smallest number
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*
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* Notes:
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* -QuickSelect is related to QuickSort, thus has optimal best and average
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* case (O(n)) but unlikely poor worst case (O(n^2))
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* -This implementation uses randomly selected pivots for better performance
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*
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* @complexity: O(n) (on average )
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* @complexity: O(n^2) (worst case)
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* @flow
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*/
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function QuickSelect (items, kth) {
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return RandomizedSelect(items, 0, items.length - 1, kth)
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}
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function RandomizedSelect (
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items,
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left,
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right,
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i
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) {
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if (left === right) return items[left]
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const pivotIndex = RandomizedPartition(items, left, right)
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const k = pivotIndex - left + 1
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if (i === k) return items[pivotIndex]
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if (i < k) return RandomizedSelect(items, left, pivotIndex - 1, i)
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return RandomizedSelect(items, pivotIndex + 1, right, i - k)
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}
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function RandomizedPartition (items, left, right) {
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const rand = getRandomInt(left, right)
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Swap(items, rand, right)
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return Partition(items, left, right)
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}
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function Partition (items, left, right) {
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const x = items[right]
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let pivotIndex = left - 1
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for (let j = left; j < right; j++) {
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if (items[j] <= x) {
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pivotIndex++
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Swap(items, pivotIndex, j)
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}
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}
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Swap(items, pivotIndex + 1, right)
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return pivotIndex + 1
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}
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function getRandomInt (min, max) {
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return Math.floor(Math.random() * (max - min + 1)) + min
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}
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function Swap (arr, x, y) {
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const temp = arr[x]
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arr[x] = arr[y]
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arr[y] = temp
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}
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// testing
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console.log(QuickSelect([1, 4, 2, -2, 4, 5]))
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