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Added QuickSelect Algorithm #542

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Jan 6, 2021
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1 change: 1 addition & 0 deletions DIRECTORY.md
Original file line number Diff line number Diff line change
Expand Up @@ -178,6 +178,7 @@
* [InterpolationSearch](https://github.com/TheAlgorithms/Javascript/blob/master/Search/InterpolationSearch.js)
* [JumpSearch](https://github.com/TheAlgorithms/Javascript/blob/master/Search/JumpSearch.js)
* [LinearSearch](https://github.com/TheAlgorithms/Javascript/blob/master/Search/LinearSearch.js)
* [QuickSelect](https://github.com/TheAlgorithms/Javascript/blob/master/Search/QuickSelectSearch.js)
* [StringSearch](https://github.com/TheAlgorithms/Javascript/blob/master/Search/StringSearch.js)

## Sorts
Expand Down
55 changes: 55 additions & 0 deletions Search/QuickSelectSearch.js
Original file line number Diff line number Diff line change
@@ -0,0 +1,55 @@
/*
* Places the `k` smallest elements in `array` in the first `k` indices: `[0..k-1]`
* Modifies the passed in array *in place*
* Returns a slice of the wanted elements for convenience
* Efficient mainly because it never performs a full sort.
*
* The only guarantees are that:
*
* - The `k`th element is in its final sort index (if the array were to be sorted)
* - All elements before index `k` are smaller than the `k`th element
*
* [Reference](http://en.wikipedia.org/wiki/Quickselect)
*/
function quickSelectSearch (array, k) {
if (!array || array.length <= k) {
throw new Error('Invalid arguments')
}

let from = 0
let to = array.length - 1
while (from < to) {
let left = from
let right = to
const pivot = array[Math.ceil((left + right) * 0.5)]

while (left < right) {
if (array[left] >= pivot) {
const tmp = array[left]
array[left] = array[right]
array[right] = tmp
--right
} else {
++left
}
}

if (array[left] > pivot) {
--left
}

if (k <= left) {
to = left
} else {
from = left + 1
}
}
return array
}

/* ---------------------------------- Test ---------------------------------- */

const arr = [1121111, 21, 333, 41, 5, 66, 7777, 28, 19, 11110]
console.log(quickSelectSearch(arr, 5)) // [ 19, 21, 28, 41, 5, 66, 333, 11110, 1121111, 7777 ]
console.log(quickSelectSearch(arr, 2)) // [ 19, 5, 21, 41, 28, 333, 11110, 1121111, 7777, 66 ]
console.log(quickSelectSearch(arr, 7)) // [ 19, 5, 21, 41, 28, 66, 333, 7777, 11110, 1121111 ]