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@ -139,7 +139,7 @@ comments: true
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=== "JavaScript"
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``` js title="quick_sort.js"
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```javascript title="quick_sort.js"
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/* 元素交换 */
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function swap(nums, i, j) {
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let tmp = nums[i];
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@ -349,14 +349,14 @@ comments: true
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```javascript title="quick_sort.js"
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/* 快速排序 */
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function quickSort(nums, left, right) {
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quickSort(nums, left, right) {
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// 子数组长度为 1 时终止递归
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if (left >= right) return;
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// 哨兵划分
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const pivot = partition(nums, left, right);
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const pivot = this.partition(nums, left, right);
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// 递归左子数组、右子数组
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quickSort(nums, left, pivot - 1);
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quickSort(nums, pivot + 1, right);
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this.quickSort(nums, left, pivot - 1);
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this.quickSort(nums, pivot + 1, right);
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}
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```
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@ -364,16 +364,16 @@ comments: true
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```typescript title="quick_sort.ts"
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/* 快速排序 */
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function quickSort(nums: number[], left: number, right: number): void {
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quickSort(nums: number[], left: number, right: number): void {
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// 子数组长度为 1 时终止递归
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if (left >= right) {
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return;
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}
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// 哨兵划分
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const pivot = partition(nums, left, right);
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const pivot = this.partition(nums, left, right);
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// 递归左子数组、右子数组
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quickSort(nums, left, pivot - 1);
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quickSort(nums, pivot + 1, right);
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this.quickSort(nums, left, pivot - 1);
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this.quickSort(nums, pivot + 1, right);
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}
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```
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@ -585,25 +585,29 @@ comments: true
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```javascript title="quick_sort.js"
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/* 选取三个元素的中位数 */
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function medianThree(nums, left, mid, right) {
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medianThree(nums, left, mid, right) {
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// 使用了异或操作来简化代码
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// 异或规则为 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1
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if ((nums[left] < nums[mid]) ^ (nums[left] < nums[right]))
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return left;
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else if ((nums[mid] < nums[left]) ^ (nums[mid] < nums[right]))
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return mid;
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else
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return right;
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if ((nums[left] < nums[mid]) ^ (nums[left] < nums[right])) return left;
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else if ((nums[mid] < nums[left]) ^ (nums[mid] < nums[right])) return mid;
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else return right;
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}
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/* 哨兵划分(三数取中值) */
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function partition(nums, left, right) {
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partition(nums, left, right) {
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// 选取三个候选元素的中位数
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let med = medianThree(nums, left, Math.floor((left + right) / 2), right);
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let med = this.medianThree(nums, left, Math.floor((left + right) / 2), right);
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// 将中位数交换至数组最左端
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swap(nums, left, med);
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this.swap(nums, left, med);
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// 以 nums[left] 作为基准数
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// 下同省略...
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let i = left, j = right;
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while (i < j) {
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while (i < j && nums[j] >= nums[left]) j--; // 从右向左找首个小于基准数的元素
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while (i < j && nums[i] <= nums[left]) i++; // 从左向右找首个大于基准数的元素
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this.swap(nums, i, j); // 交换这两个元素
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}
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this.swap(nums, i, left); // 将基准数交换至两子数组的分界线
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return i; // 返回基准数的索引
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}
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```
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@ -611,7 +615,7 @@ comments: true
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```typescript title="quick_sort.ts"
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/* 选取三个元素的中位数 */
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function medianThree(nums: number[], left: number, mid: number, right: number): number {
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medianThree(nums: number[], left: number, mid: number, right: number): number {
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// 使用了异或操作来简化代码
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// 异或规则为 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1
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if (Number(nums[left] < nums[mid]) ^ Number(nums[left] < nums[right])) {
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@ -624,13 +628,25 @@ comments: true
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}
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/* 哨兵划分(三数取中值) */
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function partition(nums: number[], left: number, right: number): number {
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partition(nums: number[], left: number, right: number): number {
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// 选取三个候选元素的中位数
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let med = medianThree(nums, left, Math.floor((left + right) / 2), right);
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let med = this.medianThree(nums, left, Math.floor((left + right) / 2), right);
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// 将中位数交换至数组最左端
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swap(nums, left, med);
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this.swap(nums, left, med);
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// 以 nums[left] 作为基准数
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// 下同省略...
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let i = left, j = right;
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while (i < j) {
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while (i < j && nums[j] >= nums[left]) {
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j--; // 从右向左找首个小于基准数的元素
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}
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while (i < j && nums[i] <= nums[left]) {
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i++; // 从左向右找首个大于基准数的元素
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}
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this.swap(nums, i, j); // 交换这两个元素
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}
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this.swap(nums, i, left); // 将基准数交换至两子数组的分界线
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return i; // 返回基准数的索引
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}
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```
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=== "C"
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@ -789,17 +805,17 @@ comments: true
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```javascript title="quick_sort.js"
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/* 快速排序(尾递归优化) */
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function quickSort(nums, left, right) {
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quickSort(nums, left, right) {
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// 子数组长度为 1 时终止
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while (left < right) {
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// 哨兵划分操作
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let pivot = partition(nums, left, right);
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let pivot = this.partition(nums, left, right);
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// 对两个子数组中较短的那个执行快排
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if (pivot - left < right - pivot) {
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quickSort(nums, left, pivot - 1); // 递归排序左子数组
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left = pivot + 1; // 剩余待排序区间为 [pivot + 1, right]
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this.quickSort(nums, left, pivot - 1); // 递归排序左子数组
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left = pivot + 1; // 剩余待排序区间为 [pivot + 1, right]
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} else {
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quickSort(nums, pivot + 1, right); // 递归排序右子数组
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this.quickSort(nums, pivot + 1, right); // 递归排序右子数组
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right = pivot - 1; // 剩余待排序区间为 [left, pivot - 1]
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}
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}
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@ -810,17 +826,17 @@ comments: true
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```typescript title="quick_sort.ts"
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/* 快速排序(尾递归优化) */
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function quickSort(nums: number[], left: number, right: number): void {
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quickSort(nums: number[], left: number, right: number): void {
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// 子数组长度为 1 时终止
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while (left < right) {
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// 哨兵划分操作
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let pivot = partition(nums, left, right);
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let pivot = this.partition(nums, left, right);
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// 对两个子数组中较短的那个执行快排
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if (pivot - left < right - pivot) {
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quickSort(nums, left, pivot - 1); // 递归排序左子数组
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this.quickSort(nums, left, pivot - 1); // 递归排序左子数组
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left = pivot + 1; // 剩余待排序区间为 [pivot + 1, right]
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} else {
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quickSort(nums, pivot + 1, right); // 递归排序右子数组
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this.quickSort(nums, pivot + 1, right); // 递归排序右子数组
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right = pivot - 1; // 剩余待排序区间为 [left, pivot - 1]
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}
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}
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