Created
June 11, 2024 14:16
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Quick Select Algorithm for finding Kth Max Element
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function partition(a, lo, hi) { | |
/* | |
//Improve partition choice for the worst case | |
const randomIndex = Math.floor(Math.random() * (hi - lo + 1)) + lo; | |
swap(a, lo, randomIndex); // Move the random pivot to the start | |
*/ | |
let i = lo; | |
let j = hi + 1; | |
let P = a[lo]; | |
while (true) { | |
do { | |
i++; | |
} while (a[i] < P); | |
do { | |
j--; | |
} while (a[j] > P); | |
if (i >= j) break; | |
swap(a, i, j); | |
} | |
swap(a, lo, j); | |
return j; | |
} | |
const swap = (a, i, j) => ([a[i], a[j]] = [a[j], a[i]]); | |
function findKthLargest(nums, k) { | |
k = nums.length - k; | |
let lo = 0; | |
let hi = nums.length - 1; | |
while (lo <= hi) { | |
const j = partition(nums, lo, hi); | |
if (j === k) return nums[k]; | |
else if (j < k) lo = j + 1; | |
else hi = j - 1; | |
} | |
} |
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