diff --git a/codes/csharp/chapter_searching/binary_search_edge.cs b/codes/csharp/chapter_searching/binary_search_edge.cs new file mode 100644 index 000000000..4238ec935 --- /dev/null +++ b/codes/csharp/chapter_searching/binary_search_edge.cs @@ -0,0 +1,50 @@ +/** +* File: binary_search_edge.cs +* Created Time: 2023-08-06 +* Author: hpstory (hpstory1024@163.com) +*/ + +namespace hello_algo.chapter_searching; + +public class binary_search_edge { + /* 二分查找最左一个 target */ + public int binarySearchLeftEdge(int[] nums, int target) { + // 等价于查找 target 的插入点 + int i = binary_search_insertion.binarySearchInsertion(nums, target); + // 未找到 target ,返回 -1 + if (i == nums.Length || nums[i] != target) { + return -1; + } + // 找到 target ,返回索引 i + return i; + } + + /* 二分查找最右一个 target */ + public int binarySearchRightEdge(int[] nums, int target) { + // 转化为查找最左一个 target + 1 + int i = binary_search_insertion.binarySearchInsertion(nums, target + 1); + // j 指向最右一个 target ,i 指向首个大于 target 的元素 + int j = i - 1; + // 未找到 target ,返回 -1 + if (j == -1 || nums[j] != target) { + return -1; + } + // 找到 target ,返回索引 j + return j; + } + + [Test] + public void Test() { + // 包含重复元素的数组 + int[] nums = { 1, 3, 6, 6, 6, 6, 6, 10, 12, 15 }; + Console.WriteLine("\n数组 nums = " + nums.PrintList()); + + // 二分查找左边界和右边界 + foreach (int target in new int[] { 6, 7 }) { + int index = binarySearchLeftEdge(nums, target); + Console.WriteLine("最左一个元素 " + target + " 的索引为 " + index); + index = binarySearchRightEdge(nums, target); + Console.WriteLine("最右一个元素 " + target + " 的索引为 " + index); + } + } +} diff --git a/codes/csharp/chapter_searching/binary_search_insertion.cs b/codes/csharp/chapter_searching/binary_search_insertion.cs new file mode 100644 index 000000000..5dac69830 --- /dev/null +++ b/codes/csharp/chapter_searching/binary_search_insertion.cs @@ -0,0 +1,64 @@ +/** +* File: binary_search_insertion.cs +* Created Time: 2023-08-06 +* Author: hpstory (hpstory1024@163.com) +*/ + +namespace hello_algo.chapter_searching; + +public class binary_search_insertion { + /* 二分查找插入点(无重复元素) */ + public int binarySearchInsertionSimple(int[] nums, int target) { + int i = 0, j = nums.Length - 1; // 初始化双闭区间 [0, n-1] + while (i <= j) { + int m = i + (j - i) / 2; // 计算中点索引 m + if (nums[m] < target) { + i = m + 1; // target 在区间 [m+1, j] 中 + } else if (nums[m] > target) { + j = m - 1; // target 在区间 [i, m-1] 中 + } else { + return m; // 找到 target ,返回插入点 m + } + } + // 未找到 target ,返回插入点 i + return i; + } + + /* 二分查找插入点(存在重复元素) */ + public static int binarySearchInsertion(int[] nums, int target) { + int i = 0, j = nums.Length - 1; // 初始化双闭区间 [0, n-1] + while (i <= j) { + int m = i + (j - i) / 2; // 计算中点索引 m + if (nums[m] < target) { + i = m + 1; // target 在区间 [m+1, j] 中 + } else if (nums[m] > target) { + j = m - 1; // target 在区间 [i, m-1] 中 + } else { + j = m - 1; // 首个小于 target 的元素在区间 [i, m-1] 中 + } + } + // 返回插入点 i + return i; + } + + [Test] + public void Test() { + // 无重复元素的数组 + int[] nums = { 1, 3, 6, 8, 12, 15, 23, 26, 31, 35 }; + Console.WriteLine("\n数组 nums = " + nums.PrintList()); + // 二分查找插入点 + foreach (int target in new int[] { 6, 9 }) { + int index = binarySearchInsertionSimple(nums, target); + Console.WriteLine("元素 " + target + " 的插入点的索引为 " + index); + } + + // 包含重复元素的数组 + nums = new int[] { 1, 3, 6, 6, 6, 6, 6, 10, 12, 15 }; + Console.WriteLine("\n数组 nums = " + nums.PrintList()); + // 二分查找插入点 + foreach (int target in new int[] { 2, 6, 20 }) { + int index = binarySearchInsertion(nums, target); + Console.WriteLine("元素 " + target + " 的插入点的索引为 " + index); + } + } +} diff --git a/codes/java/chapter_searching/binary_search_insertion.java b/codes/java/chapter_searching/binary_search_insertion.java index cacf553a0..8bfcb802c 100644 --- a/codes/java/chapter_searching/binary_search_insertion.java +++ b/codes/java/chapter_searching/binary_search_insertion.java @@ -1,5 +1,5 @@ /** - * File: binary_search_edge.java + * File: binary_search_insertion.java * Created Time: 2023-08-04 * Author: Krahets (krahets@163.com) */