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feat: refactor top_k.ts (#899)
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2 changed files with 61 additions and 35 deletions
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@ -122,32 +122,34 @@ class MaxHeap {
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}
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/* Driver Code */
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/* 初始化大顶堆 */
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const maxHeap = new MaxHeap([9, 8, 6, 6, 7, 5, 2, 1, 4, 3, 6, 2]);
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console.log('\n输入列表并建堆后');
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maxHeap.print();
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if (require.main === module) {
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/* 初始化大顶堆 */
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const maxHeap = new MaxHeap([9, 8, 6, 6, 7, 5, 2, 1, 4, 3, 6, 2]);
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console.log('\n输入列表并建堆后');
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maxHeap.print();
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/* 获取堆顶元素 */
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let peek = maxHeap.peek();
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console.log(`\n堆顶元素为 ${peek}`);
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/* 获取堆顶元素 */
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let peek = maxHeap.peek();
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console.log(`\n堆顶元素为 ${peek}`);
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/* 元素入堆 */
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const val = 7;
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maxHeap.push(val);
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console.log(`\n元素 ${val} 入堆后`);
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maxHeap.print();
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/* 元素入堆 */
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const val = 7;
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maxHeap.push(val);
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console.log(`\n元素 ${val} 入堆后`);
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maxHeap.print();
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/* 堆顶元素出堆 */
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peek = maxHeap.pop();
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console.log(`\n堆顶元素 ${peek} 出堆后`);
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maxHeap.print();
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/* 堆顶元素出堆 */
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peek = maxHeap.pop();
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console.log(`\n堆顶元素 ${peek} 出堆后`);
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maxHeap.print();
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/* 获取堆大小 */
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const size = maxHeap.size();
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console.log(`\n堆元素数量为 ${size}`);
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/* 获取堆大小 */
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const size = maxHeap.size();
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console.log(`\n堆元素数量为 ${size}`);
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/* 判断堆是否为空 */
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const isEmpty = maxHeap.isEmpty();
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console.log(`\n堆是否为空 ${isEmpty}`);
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/* 判断堆是否为空 */
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const isEmpty = maxHeap.isEmpty();
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console.log(`\n堆是否为空 ${isEmpty}`);
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}
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export { MaxHeap };
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@ -6,25 +6,49 @@
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import { MaxHeap } from './my_heap';
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/* 元素入堆 */
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function pushMinHeap(maxHeap: MaxHeap, val: number): void {
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// 元素取反
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maxHeap.push(-val);
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}
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/* 元素出堆 */
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function popMinHeap(maxHeap: MaxHeap): number {
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// 元素取反
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return -maxHeap.pop();
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}
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/* 访问堆顶元素 */
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function peekMinHeap(maxHeap: MaxHeap): number {
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// 元素取反
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return -maxHeap.peek();
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}
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/* 取出堆中元素 */
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function getMinHeap(maxHeap: MaxHeap): number[] {
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// 元素取反
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return maxHeap.getMaxHeap().map((num: number) => -num);
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}
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/* 基于堆查找数组中最大的 k 个元素 */
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function topKHeap(nums: number[], k: number): number[] {
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// 将堆中所有元素取反,从而用大顶堆来模拟小顶堆
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const invertedNums = nums.map((num) => -num);
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// 初始化小顶堆
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// 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
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const maxHeap = new MaxHeap([]);
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// 将数组的前 k 个元素入堆
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const heap = new MaxHeap(invertedNums.slice(0, k));
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for (let i = 0; i < k; i++) {
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pushMinHeap(maxHeap, nums[i]);
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}
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// 从第 k+1 个元素开始,保持堆的长度为 k
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for (let i = k; i < invertedNums.length; i++) {
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// 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
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if (invertedNums[i] < heap.peek()) {
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heap.pop();
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heap.push(invertedNums[i]);
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for (let i = k; i < nums.length; i++) {
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// 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
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if (nums[i] > peekMinHeap(maxHeap)) {
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popMinHeap(maxHeap);
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pushMinHeap(maxHeap, nums[i]);
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}
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}
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// 取出堆中元素
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const maxHeap = heap.getMaxHeap();
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// 对堆中元素取相反数
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const invertedMaxHeap = maxHeap.map((num) => -num);
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return invertedMaxHeap;
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// 返回堆中元素
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return getMinHeap(maxHeap);
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}
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/* Driver Code */
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