feat: refactor top_k.ts (#899)

pull/901/head
Justin Tse 1 year ago committed by GitHub
parent f98b337144
commit c37f0981f0
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@ -122,6 +122,7 @@ class MaxHeap {
}
/* Driver Code */
if (require.main === module) {
/* 初始化大顶堆 */
const maxHeap = new MaxHeap([9, 8, 6, 6, 7, 5, 2, 1, 4, 3, 6, 2]);
console.log('\n输入列表并建堆后');
@ -149,5 +150,6 @@ console.log(`\n堆元素数量为 ${size}`);
/* 判断堆是否为空 */
const isEmpty = maxHeap.isEmpty();
console.log(`\n堆是否为空 ${isEmpty}`);
}
export { MaxHeap };

@ -6,25 +6,49 @@
import { MaxHeap } from './my_heap';
/* 元素入堆 */
function pushMinHeap(maxHeap: MaxHeap, val: number): void {
// 元素取反
maxHeap.push(-val);
}
/* 元素出堆 */
function popMinHeap(maxHeap: MaxHeap): number {
// 元素取反
return -maxHeap.pop();
}
/* 访问堆顶元素 */
function peekMinHeap(maxHeap: MaxHeap): number {
// 元素取反
return -maxHeap.peek();
}
/* 取出堆中元素 */
function getMinHeap(maxHeap: MaxHeap): number[] {
// 元素取反
return maxHeap.getMaxHeap().map((num: number) => -num);
}
/* 基于堆查找数组中最大的 k 个元素 */
function topKHeap(nums: number[], k: number): number[] {
// 将堆中所有元素取反,从而用大顶堆来模拟小顶堆
const invertedNums = nums.map((num) => -num);
// 初始化小顶堆
// 请注意:我们将堆中所有元素取反,从而用大顶堆来模拟小顶堆
const maxHeap = new MaxHeap([]);
// 将数组的前 k 个元素入堆
const heap = new MaxHeap(invertedNums.slice(0, k));
for (let i = 0; i < k; i++) {
pushMinHeap(maxHeap, nums[i]);
}
// 从第 k+1 个元素开始,保持堆的长度为 k
for (let i = k; i < invertedNums.length; i++) {
// 若当前元素小于堆顶元素,则将堆顶元素出堆、当前元素入堆
if (invertedNums[i] < heap.peek()) {
heap.pop();
heap.push(invertedNums[i]);
}
}
// 取出堆中元素
const maxHeap = heap.getMaxHeap();
// 对堆中元素取相反数
const invertedMaxHeap = maxHeap.map((num) => -num);
return invertedMaxHeap;
for (let i = k; i < nums.length; i++) {
// 若当前元素大于堆顶元素,则将堆顶元素出堆、当前元素入堆
if (nums[i] > peekMinHeap(maxHeap)) {
popMinHeap(maxHeap);
pushMinHeap(maxHeap, nums[i]);
}
}
// 返回堆中元素
return getMinHeap(maxHeap);
}
/* Driver Code */

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