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[Rust] Normalize mid calculation in case overflow (#1363)
* Normalize mid calculate in case overflow * Change ALL language * Update merge_sort.py * Update merge_sort.zig * Update binary_search_tree.zig * Update binary_search_recur.py --------- Co-authored-by: Yudong Jin <krahets@163.com>
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0e221540a3
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41 changed files with 57 additions and 59 deletions
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@ -43,7 +43,7 @@ void mergeSort(int *nums, int left, int right) {
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if (left >= right)
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return; // 当子数组长度为 1 时终止递归
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// 划分阶段
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int mid = (left + right) / 2; // 计算中点
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int mid = left + (right - left) / 2; // 计算中点
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mergeSort(nums, left, mid); // 递归左子数组
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mergeSort(nums, mid + 1, right); // 递归右子数组
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// 合并阶段
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@ -39,7 +39,7 @@ void mergeSort(vector<int> &nums, int left, int right) {
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if (left >= right)
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return; // 当子数组长度为 1 时终止递归
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// 划分阶段
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int mid = (left + right) / 2; // 计算中点
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int mid = left + (right - left) / 2; // 计算中点
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mergeSort(nums, left, mid); // 递归左子数组
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mergeSort(nums, mid + 1, right); // 递归右子数组
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// 合并阶段
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@ -39,7 +39,7 @@ public class merge_sort {
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// 终止条件
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if (left >= right) return; // 当子数组长度为 1 时终止递归
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// 划分阶段
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int mid = (left + right) / 2; // 计算中点
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int mid = left + (right - left) / 2; // 计算中点
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MergeSort(nums, left, mid); // 递归左子数组
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MergeSort(nums, mid + 1, right); // 递归右子数组
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// 合并阶段
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@ -36,7 +36,7 @@ void mergeSort(List<int> nums, int left, int right) {
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// 终止条件
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if (left >= right) return; // 当子数组长度为 1 时终止递归
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// 划分阶段
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int mid = (left + right) ~/ 2; // 计算中点
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int mid = left + (right - left) ~/ 2; // 计算中点
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mergeSort(nums, left, mid); // 递归左子数组
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mergeSort(nums, mid + 1, right); // 递归右子数组
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// 合并阶段
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@ -46,7 +46,7 @@ func mergeSort(nums []int, left, right int) {
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return
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}
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// 划分阶段
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mid := (left + right) / 2
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mid := left + (right - left) / 2
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mergeSort(nums, left, mid)
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mergeSort(nums, mid+1, right)
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// 合并阶段
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@ -42,7 +42,7 @@ public class merge_sort {
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if (left >= right)
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return; // 当子数组长度为 1 时终止递归
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// 划分阶段
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int mid = (left + right) / 2; // 计算中点
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int mid = left + (right - left) / 2; // 计算中点
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mergeSort(nums, left, mid); // 递归左子数组
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mergeSort(nums, mid + 1, right); // 递归右子数组
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// 合并阶段
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@ -39,7 +39,7 @@ function mergeSort(nums, left, right) {
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// 终止条件
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if (left >= right) return; // 当子数组长度为 1 时终止递归
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// 划分阶段
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let mid = Math.floor((left + right) / 2); // 计算中点
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let mid = Math.floor(left + (right - left) / 2); // 计算中点
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mergeSort(nums, left, mid); // 递归左子数组
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mergeSort(nums, mid + 1, right); // 递归右子数组
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// 合并阶段
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@ -40,7 +40,7 @@ fun mergeSort(nums: IntArray, left: Int, right: Int) {
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// 终止条件
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if (left >= right) return // 当子数组长度为 1 时终止递归
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// 划分阶段
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val mid = (left + right) / 2 // 计算中点
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val mid = left + (right - left) / 2 // 计算中点
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mergeSort(nums, left, mid) // 递归左子数组
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mergeSort(nums, mid + 1, right) // 递归右子数组
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// 合并阶段
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@ -53,4 +53,4 @@ fun main() {
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val nums = intArrayOf(7, 3, 2, 6, 0, 1, 5, 4)
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mergeSort(nums, 0, nums.size - 1)
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println("归并排序完成后 nums = ${nums.contentToString()}")
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}
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}
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@ -41,7 +41,7 @@ def merge_sort(nums: list[int], left: int, right: int):
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if left >= right:
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return # 当子数组长度为 1 时终止递归
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# 划分阶段
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mid = (left + right) // 2 # 计算中点
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mid = (left + right) // 2 # 计算中点
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merge_sort(nums, left, mid) # 递归左子数组
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merge_sort(nums, mid + 1, right) # 递归右子数组
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# 合并阶段
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@ -45,7 +45,7 @@ def merge_sort(nums, left, right)
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# 当子数组长度为 1 时终止递归
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return if left >= right
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# 划分阶段
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mid = (left + right) / 2 # 计算中点
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mid = left + (right - left) / 2 # 计算中点
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merge_sort(nums, left, mid) # 递归左子数组
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merge_sort(nums, mid + 1, right) # 递归右子数组
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# 合并阶段
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@ -10,7 +10,7 @@ fn dfs(nums: &[i32], target: i32, i: i32, j: i32) -> i32 {
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if i > j {
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return -1;
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}
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let m: i32 = (i + j) / 2;
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let m: i32 = i + (j - i) / 2;
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if nums[m as usize] < target {
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// 递归子问题 f(m+1, j)
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return dfs(nums, target, m + 1, j);
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@ -48,7 +48,7 @@ fn merge_sort(nums: &mut [i32], left: usize, right: usize) {
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}
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// 划分阶段
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let mid = (left + right) / 2; // 计算中点
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let mid = left + (right - left) / 2; // 计算中点
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merge_sort(nums, left, mid); // 递归左子数组
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merge_sort(nums, mid + 1, right); // 递归右子数组
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@ -35,9 +35,7 @@ fn counting_sort_digit(nums: &mut [i32], exp: i32) {
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counter[d] -= 1; // 将 d 的数量减 1
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}
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// 使用结果覆盖原数组 nums
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for i in 0..n {
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nums[i] = res[i];
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}
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nums.copy_from_slice(&res);
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}
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/* 基数排序 */
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@ -46,7 +46,7 @@ func mergeSort(nums: inout [Int], left: Int, right: Int) {
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return
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}
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// 划分阶段
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let mid = (left + right) / 2 // 计算中点
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let mid = left + (right - left) / 2 // 计算中点
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mergeSort(nums: &nums, left: left, right: mid) // 递归左子数组
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mergeSort(nums: &nums, left: mid + 1, right: right) // 递归右子数组
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// 合并阶段
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@ -54,7 +54,7 @@ func medianThree(nums: [Int], left: Int, mid: Int, right: Int) -> Int {
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/* 哨兵划分(三数取中值) */
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func partitionMedian(nums: inout [Int], left: Int, right: Int) -> Int {
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// 选取三个候选元素的中位数
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let med = medianThree(nums: nums, left: left, mid: (left + right) / 2, right: right)
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let med = medianThree(nums: nums, left: left, mid: left + (right - left) / 2, right: right)
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// 将中位数交换至数组最左端
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nums.swapAt(left, med)
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return partition(nums: &nums, left: left, right: right)
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@ -39,7 +39,7 @@ function mergeSort(nums: number[], left: number, right: number): void {
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// 终止条件
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if (left >= right) return; // 当子数组长度为 1 时终止递归
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// 划分阶段
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let mid = Math.floor((left + right) / 2); // 计算中点
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let mid = Math.floor(left + (right - left) / 2); // 计算中点
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mergeSort(nums, left, mid); // 递归左子数组
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mergeSort(nums, mid + 1, right); // 递归右子数组
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// 合并阶段
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@ -15,10 +15,10 @@ fn merge(nums: []i32, left: usize, mid: usize, right: usize) !void {
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const mem_allocator = mem_arena.allocator();
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var tmp = try mem_allocator.alloc(i32, right + 1 - left);
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std.mem.copy(i32, tmp, nums[left..right+1]);
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// 左子数组的起始索引和结束索引
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// 左子数组的起始索引和结束索引
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var leftStart = left - left;
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var leftEnd = mid - left;
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// 右子数组的起始索引和结束索引
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// 右子数组的起始索引和结束索引
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var rightStart = mid + 1 - left;
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var rightEnd = right - left;
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// i, j 分别指向左子数组、右子数组的首元素
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// 终止条件
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if (left >= right) return; // 当子数组长度为 1 时终止递归
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// 划分阶段
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var mid = (left + right) / 2; // 计算中点
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var mid = left + (right - left) / 2; // 计算中点
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try mergeSort(nums, left, mid); // 递归左子数组
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try mergeSort(nums, mid + 1, right); // 递归右子数组
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// 合并阶段
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@ -64,4 +64,4 @@ pub fn main() !void {
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inc.PrintUtil.printArray(i32, &nums);
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_ = try std.io.getStdIn().reader().readByte();
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}
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}
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@ -34,7 +34,7 @@ pub fn BinarySearchTree(comptime T: type) type {
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fn buildTree(self: *Self, nums: []T, i: usize, j: usize) !?*inc.TreeNode(T) {
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if (i > j) return null;
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// 将数组中间节点作为根节点
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var mid = (i + j) / 2;
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var mid = i + (j - i) / 2;
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var node = try self.mem_allocator.create(inc.TreeNode(T));
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node.init(nums[mid]);
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// 递归建立左子树和右子树
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@ -145,7 +145,7 @@ pub fn BinarySearchTree(comptime T: type) type {
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cur.?.val = tmp_val;
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}
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}
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};
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};
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}
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// Driver Code
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@ -179,4 +179,4 @@ pub fn main() !void {
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try inc.PrintUtil.printTree(bst.getRoot(), null, false);
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_ = try std.io.getStdIn().reader().readByte();
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}
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}
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@ -13,7 +13,7 @@ int dfs(vector<int> &nums, int target, int i, int j) {
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return -1;
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}
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// Calculate midpoint index m
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int m = (i + j) / 2;
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int m = i + (j - i) / 2;
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if (nums[m] < target) {
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// Recursive subproblem f(m+1, j)
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return dfs(nums, target, m + 1, j);
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cout << "Index of target element 6 =" << index << endl;
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return 0;
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}
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}
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@ -39,7 +39,7 @@ void mergeSort(vector<int> &nums, int left, int right) {
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if (left >= right)
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return; // Terminate recursion when subarray length is 1
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// Partition stage
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int mid = (left + right) / 2; // Calculate midpoint
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int mid = left + (right - left) / 2; // Calculate midpoint
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mergeSort(nums, left, mid); // Recursively process the left subarray
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mergeSort(nums, mid + 1, right); // Recursively process the right subarray
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// Merge stage
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@ -14,7 +14,7 @@ public class binary_search_recur {
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return -1;
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}
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// Calculate midpoint index m
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int m = (i + j) / 2;
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int m = i + (j - i) / 2;
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if (nums[m] < target) {
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// Recursive subproblem f(m+1, j)
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return dfs(nums, target, m + 1, j);
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@ -42,7 +42,7 @@ public class merge_sort {
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if (left >= right)
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return; // Terminate recursion when subarray length is 1
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// Partition stage
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int mid = (left + right) / 2; // Calculate midpoint
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int mid = left + (right - left) / 2; // Calculate midpoint
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mergeSort(nums, left, mid); // Recursively process the left subarray
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mergeSort(nums, mid + 1, right); // Recursively process the right subarray
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// Merge stage
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@ -12,7 +12,7 @@ def binary_search(nums: list[int], target: int) -> int:
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# Loop until the search interval is empty (when i > j, it is empty)
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while i <= j:
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# Theoretically, Python's numbers can be infinitely large (depending on memory size), so there is no need to consider large number overflow
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m = (i + j) // 2 # Calculate midpoint index m
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m = i + (j - i) // 2 # Calculate midpoint index m
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if nums[m] < target:
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i = m + 1 # This situation indicates that target is in the interval [m+1, j]
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elif nums[m] > target:
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i, j = 0, len(nums)
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# Loop until the search interval is empty (when i = j, it is empty)
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while i < j:
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m = (i + j) // 2 # Calculate midpoint index m
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m = i + (j - i) // 2 # Calculate midpoint index m
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if nums[m] < target:
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i = m + 1 # This situation indicates that target is in the interval [m+1, j)
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elif nums[m] > target:
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@ -9,7 +9,7 @@ def binary_search_insertion_simple(nums: list[int], target: int) -> int:
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"""Binary search for insertion point (no duplicate elements)"""
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i, j = 0, len(nums) - 1 # Initialize double closed interval [0, n-1]
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while i <= j:
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m = (i + j) // 2 # Calculate midpoint index m
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m = i + (j - i) // 2 # Calculate midpoint index m
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if nums[m] < target:
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i = m + 1 # Target is in interval [m+1, j]
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elif nums[m] > target:
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"""Binary search for insertion point (with duplicate elements)"""
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i, j = 0, len(nums) - 1 # Initialize double closed interval [0, n-1]
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while i <= j:
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m = (i + j) // 2 # Calculate midpoint index m
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m = i + (j - i) // 2 # Calculate midpoint index m
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if nums[m] < target:
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i = m + 1 # Target is in interval [m+1, j]
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elif nums[m] > target:
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if left >= right:
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return # Terminate recursion when subarray length is 1
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# Partition stage
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mid = (left + right) // 2 # Calculate midpoint
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mid = left + (right - left) // 2 # Calculate midpoint
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merge_sort(nums, left, mid) # Recursively process the left subarray
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merge_sort(nums, mid + 1, right) # Recursively process the right subarray
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# Merge stage
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if (left >= right)
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return; // 當子陣列長度為 1 時終止遞迴
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// 劃分階段
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int mid = (left + right) / 2; // 計算中點
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int mid = left + (right - left) / 2; // 計算中點
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mergeSort(nums, left, mid); // 遞迴左子陣列
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mergeSort(nums, mid + 1, right); // 遞迴右子陣列
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// 合併階段
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@ -39,7 +39,7 @@ void mergeSort(vector<int> &nums, int left, int right) {
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if (left >= right)
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return; // 當子陣列長度為 1 時終止遞迴
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// 劃分階段
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int mid = (left + right) / 2; // 計算中點
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int mid = left + (right - left) / 2; // 計算中點
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mergeSort(nums, left, mid); // 遞迴左子陣列
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mergeSort(nums, mid + 1, right); // 遞迴右子陣列
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// 合併階段
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@ -39,7 +39,7 @@ public class merge_sort {
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// 終止條件
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if (left >= right) return; // 當子陣列長度為 1 時終止遞迴
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// 劃分階段
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int mid = (left + right) / 2; // 計算中點
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int mid = left + (right - left) / 2; // 計算中點
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MergeSort(nums, left, mid); // 遞迴左子陣列
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MergeSort(nums, mid + 1, right); // 遞迴右子陣列
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// 合併階段
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@ -36,7 +36,7 @@ void mergeSort(List<int> nums, int left, int right) {
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// 終止條件
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if (left >= right) return; // 當子陣列長度為 1 時終止遞迴
|
||||
// 劃分階段
|
||||
int mid = (left + right) ~/ 2; // 計算中點
|
||||
int mid = left + (right - left) ~/ 2; // 計算中點
|
||||
mergeSort(nums, left, mid); // 遞迴左子陣列
|
||||
mergeSort(nums, mid + 1, right); // 遞迴右子陣列
|
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// 合併階段
|
||||
|
|
|
@ -46,7 +46,7 @@ func mergeSort(nums []int, left, right int) {
|
|||
return
|
||||
}
|
||||
// 劃分階段
|
||||
mid := (left + right) / 2
|
||||
mid := left + (right - left) / 2
|
||||
mergeSort(nums, left, mid)
|
||||
mergeSort(nums, mid+1, right)
|
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// 合併階段
|
||||
|
|
|
@ -42,7 +42,7 @@ public class merge_sort {
|
|||
if (left >= right)
|
||||
return; // 當子陣列長度為 1 時終止遞迴
|
||||
// 劃分階段
|
||||
int mid = (left + right) / 2; // 計算中點
|
||||
int mid = left + (right - left) / 2; // 計算中點
|
||||
mergeSort(nums, left, mid); // 遞迴左子陣列
|
||||
mergeSort(nums, mid + 1, right); // 遞迴右子陣列
|
||||
// 合併階段
|
||||
|
|
|
@ -39,7 +39,7 @@ function mergeSort(nums, left, right) {
|
|||
// 終止條件
|
||||
if (left >= right) return; // 當子陣列長度為 1 時終止遞迴
|
||||
// 劃分階段
|
||||
let mid = Math.floor((left + right) / 2); // 計算中點
|
||||
let mid = Math.floor(left + (right - left) / 2); // 計算中點
|
||||
mergeSort(nums, left, mid); // 遞迴左子陣列
|
||||
mergeSort(nums, mid + 1, right); // 遞迴右子陣列
|
||||
// 合併階段
|
||||
|
|
|
@ -19,7 +19,7 @@ fun merge(nums: IntArray, left: Int, mid: Int, right: Int) {
|
|||
while (i <= mid && j <= right) {
|
||||
if (nums[i] <= nums[j])
|
||||
tmp[k++] = nums[i++]
|
||||
else
|
||||
else
|
||||
tmp[k++] = nums[j++]
|
||||
}
|
||||
// 將左子陣列和右子陣列的剩餘元素複製到臨時陣列中
|
||||
|
@ -40,7 +40,7 @@ fun mergeSort(nums: IntArray, left: Int, right: Int) {
|
|||
// 終止條件
|
||||
if (left >= right) return // 當子陣列長度為 1 時終止遞迴
|
||||
// 劃分階段
|
||||
val mid = (left + right) / 2 // 計算中點
|
||||
val mid = left + (right - left) / 2 // 計算中點
|
||||
mergeSort(nums, left, mid) // 遞迴左子陣列
|
||||
mergeSort(nums, mid + 1, right) // 遞迴右子陣列
|
||||
// 合併階段
|
||||
|
@ -53,4 +53,4 @@ fun main() {
|
|||
val nums = intArrayOf(7, 3, 2, 6, 0, 1, 5, 4)
|
||||
mergeSort(nums, 0, nums.size - 1)
|
||||
println("合併排序完成後 nums = ${nums.contentToString()}")
|
||||
}
|
||||
}
|
||||
|
|
|
@ -41,7 +41,7 @@ def merge_sort(nums: list[int], left: int, right: int):
|
|||
if left >= right:
|
||||
return # 當子陣列長度為 1 時終止遞迴
|
||||
# 劃分階段
|
||||
mid = (left + right) // 2 # 計算中點
|
||||
mid = left + (right - left) // 2 # 計算中點
|
||||
merge_sort(nums, left, mid) # 遞迴左子陣列
|
||||
merge_sort(nums, mid + 1, right) # 遞迴右子陣列
|
||||
# 合併階段
|
||||
|
|
|
@ -45,7 +45,7 @@ def merge_sort(nums, left, right)
|
|||
# 當子陣列長度為 1 時終止遞迴
|
||||
return if left >= right
|
||||
# 劃分階段
|
||||
mid = (left + right) / 2 # 計算中點
|
||||
mid = left + (right - left) / 2 # 計算中點
|
||||
merge_sort(nums, left, mid) # 遞迴左子陣列
|
||||
merge_sort(nums, mid + 1, right) # 遞迴右子陣列
|
||||
# 合併階段
|
||||
|
|
|
@ -48,7 +48,7 @@ fn merge_sort(nums: &mut [i32], left: usize, right: usize) {
|
|||
}
|
||||
|
||||
// 劃分階段
|
||||
let mid = (left + right) / 2; // 計算中點
|
||||
let mid = left + (right - left) / 2; // 計算中點
|
||||
merge_sort(nums, left, mid); // 遞迴左子陣列
|
||||
merge_sort(nums, mid + 1, right); // 遞迴右子陣列
|
||||
|
||||
|
|
|
@ -46,7 +46,7 @@ func mergeSort(nums: inout [Int], left: Int, right: Int) {
|
|||
return
|
||||
}
|
||||
// 劃分階段
|
||||
let mid = (left + right) / 2 // 計算中點
|
||||
let mid = left + (right - left) / 2 // 計算中點
|
||||
mergeSort(nums: &nums, left: left, right: mid) // 遞迴左子陣列
|
||||
mergeSort(nums: &nums, left: mid + 1, right: right) // 遞迴右子陣列
|
||||
// 合併階段
|
||||
|
|
|
@ -54,7 +54,7 @@ func medianThree(nums: [Int], left: Int, mid: Int, right: Int) -> Int {
|
|||
/* 哨兵劃分(三數取中值) */
|
||||
func partitionMedian(nums: inout [Int], left: Int, right: Int) -> Int {
|
||||
// 選取三個候選元素的中位數
|
||||
let med = medianThree(nums: nums, left: left, mid: (left + right) / 2, right: right)
|
||||
let med = medianThree(nums: nums, left: left, mid: left + (right - left) / 2, right: right)
|
||||
// 將中位數交換至陣列最左端
|
||||
nums.swapAt(left, med)
|
||||
return partition(nums: &nums, left: left, right: right)
|
||||
|
|
|
@ -39,7 +39,7 @@ function mergeSort(nums: number[], left: number, right: number): void {
|
|||
// 終止條件
|
||||
if (left >= right) return; // 當子陣列長度為 1 時終止遞迴
|
||||
// 劃分階段
|
||||
let mid = Math.floor((left + right) / 2); // 計算中點
|
||||
let mid = Math.floor(left + (right - left) / 2); // 計算中點
|
||||
mergeSort(nums, left, mid); // 遞迴左子陣列
|
||||
mergeSort(nums, mid + 1, right); // 遞迴右子陣列
|
||||
// 合併階段
|
||||
|
|
|
@ -15,10 +15,10 @@ fn merge(nums: []i32, left: usize, mid: usize, right: usize) !void {
|
|||
const mem_allocator = mem_arena.allocator();
|
||||
var tmp = try mem_allocator.alloc(i32, right + 1 - left);
|
||||
std.mem.copy(i32, tmp, nums[left..right+1]);
|
||||
// 左子陣列的起始索引和結束索引
|
||||
// 左子陣列的起始索引和結束索引
|
||||
var leftStart = left - left;
|
||||
var leftEnd = mid - left;
|
||||
// 右子陣列的起始索引和結束索引
|
||||
// 右子陣列的起始索引和結束索引
|
||||
var rightStart = mid + 1 - left;
|
||||
var rightEnd = right - left;
|
||||
// i, j 分別指向左子陣列、右子陣列的首元素
|
||||
|
@ -48,7 +48,7 @@ fn mergeSort(nums: []i32, left: usize, right: usize) !void {
|
|||
// 終止條件
|
||||
if (left >= right) return; // 當子陣列長度為 1 時終止遞迴
|
||||
// 劃分階段
|
||||
var mid = (left + right) / 2; // 計算中點
|
||||
var mid = left + (right - left) / 2; // 計算中點
|
||||
try mergeSort(nums, left, mid); // 遞迴左子陣列
|
||||
try mergeSort(nums, mid + 1, right); // 遞迴右子陣列
|
||||
// 合併階段
|
||||
|
@ -64,4 +64,4 @@ pub fn main() !void {
|
|||
inc.PrintUtil.printArray(i32, &nums);
|
||||
|
||||
_ = try std.io.getStdIn().reader().readByte();
|
||||
}
|
||||
}
|
||||
|
|
|
@ -34,7 +34,7 @@ pub fn BinarySearchTree(comptime T: type) type {
|
|||
fn buildTree(self: *Self, nums: []T, i: usize, j: usize) !?*inc.TreeNode(T) {
|
||||
if (i > j) return null;
|
||||
// 將陣列中間節點作為根節點
|
||||
var mid = (i + j) / 2;
|
||||
var mid = i + (j - i) / 2;
|
||||
var node = try self.mem_allocator.create(inc.TreeNode(T));
|
||||
node.init(nums[mid]);
|
||||
// 遞迴建立左子樹和右子樹
|
||||
|
@ -145,7 +145,7 @@ pub fn BinarySearchTree(comptime T: type) type {
|
|||
cur.?.val = tmp_val;
|
||||
}
|
||||
}
|
||||
};
|
||||
};
|
||||
}
|
||||
|
||||
// Driver Code
|
||||
|
@ -179,4 +179,4 @@ pub fn main() !void {
|
|||
try inc.PrintUtil.printTree(bst.getRoot(), null, false);
|
||||
|
||||
_ = try std.io.getStdIn().reader().readByte();
|
||||
}
|
||||
}
|
||||
|
|
Loading…
Reference in a new issue