diff --git a/codes/csharp/chapter_divide_and_conquer/binary_search_recur.cs b/codes/csharp/chapter_divide_and_conquer/binary_search_recur.cs new file mode 100644 index 000000000..e8f932a56 --- /dev/null +++ b/codes/csharp/chapter_divide_and_conquer/binary_search_recur.cs @@ -0,0 +1,46 @@ +/** +* File: binary_search_recur.cs +* Created Time: 2023-07-18 +* Author: hpstory (hpstory1024@163.com) +*/ + +namespace hello_algo.chapter_divide_and_conquer; + +public class binary_search_recur { + /* 二分查找:问题 f(i, j) */ + public int dfs(int[] nums, int target, int i, int j) { + // 若区间为空,代表无目标元素,则返回 -1 + if (i > j) { + return -1; + } + // 计算中点索引 m + int m = (i + j) / 2; + if (nums[m] < target) { + // 递归子问题 f(m+1, j) + return dfs(nums, target, m + 1, j); + } else if (nums[m] > target) { + // 递归子问题 f(i, m-1) + return dfs(nums, target, i, m - 1); + } else { + // 找到目标元素,返回其索引 + return m; + } + } + + /* 二分查找 */ + public int binarySearch(int[] nums, int target) { + int n = nums.Length; + // 求解问题 f(0, n-1) + return dfs(nums, target, 0, n - 1); + } + + [Test] + public void Test() { + int target = 6; + int[] nums = { 1, 3, 6, 8, 12, 15, 23, 26, 31, 35 }; + + // 二分查找(双闭区间) + int index = binarySearch(nums, target); + Console.WriteLine("目标元素 6 的索引 = " + index); + } +} diff --git a/codes/csharp/chapter_divide_and_conquer/build_tree.cs b/codes/csharp/chapter_divide_and_conquer/build_tree.cs new file mode 100644 index 000000000..104a4b55b --- /dev/null +++ b/codes/csharp/chapter_divide_and_conquer/build_tree.cs @@ -0,0 +1,49 @@ +/** +* File: build_tree.cs +* Created Time: 2023-07-18 +* Author: hpstory (hpstory1024@163.com) +*/ + +namespace hello_algo.chapter_divide_and_conquer; + +public class build_tree { + /* 构建二叉树:分治 */ + public TreeNode dfs(int[] preorder, int[] inorder, Dictionary hmap, int i, int l, int r) { + // 子树区间为空时终止 + if (r - l < 0) + return null; + // 初始化根节点 + TreeNode root = new TreeNode(preorder[i]); + // 查询 m ,从而划分左右子树 + int m = hmap[preorder[i]]; + // 子问题:构建左子树 + root.left = dfs(preorder, inorder, hmap, i + 1, l, m - 1); + // 子问题:构建右子树 + root.right = dfs(preorder, inorder, hmap, i + 1 + m - l, m + 1, r); + // 返回根节点 + return root; + } + + /* 构建二叉树 */ + public TreeNode buildTree(int[] preorder, int[] inorder) { + // 初始化哈希表,存储 inorder 元素到索引的映射 + Dictionary hmap = new Dictionary(); + for (int i = 0; i < inorder.Length; i++) { + hmap.TryAdd(inorder[i], i); + } + TreeNode root = dfs(preorder, inorder, hmap, 0, 0, inorder.Length - 1); + return root; + } + + [Test] + public void Test() { + int[] preorder = { 3, 9, 2, 1, 7 }; + int[] inorder = { 9, 3, 1, 2, 7 }; + Console.WriteLine("前序遍历 = " + string.Join(", ", preorder)); + Console.WriteLine("中序遍历 = " + string.Join(", ", inorder)); + + TreeNode root = buildTree(preorder, inorder); + Console.WriteLine("构建的二叉树为:"); + PrintUtil.PrintTree(root); + } +} diff --git a/codes/csharp/chapter_divide_and_conquer/hanota.cs b/codes/csharp/chapter_divide_and_conquer/hanota.cs new file mode 100644 index 000000000..d5f7f01fa --- /dev/null +++ b/codes/csharp/chapter_divide_and_conquer/hanota.cs @@ -0,0 +1,59 @@ +/** +* File: hanota.cs +* Created Time: 2023-07-18 +* Author: hpstory (hpstory1024@163.com) +*/ + +namespace hello_algo.chapter_divide_and_conquer; + +public class hanota { + /* 移动一个圆盘 */ + public void move(List src, List tar) { + // 从 src 顶部拿出一个圆盘 + int pan = src[^1]; + src.RemoveAt(src.Count - 1); + // 将圆盘放入 tar 顶部 + tar.Add(pan); + } + + /* 求解汉诺塔:问题 f(i) */ + public void dfs(int i, List src, List buf, List tar) { + // 若 src 只剩下一个圆盘,则直接将其移到 tar + if (i == 1) { + move(src, tar); + return; + } + // 子问题 f(i-1) :将 src 顶部 i-1 个圆盘借助 tar 移到 buf + dfs(i - 1, src, tar, buf); + // 子问题 f(1) :将 src 剩余一个圆盘移到 tar + move(src, tar); + // 子问题 f(i-1) :将 buf 顶部 i-1 个圆盘借助 src 移到 tar + dfs(i - 1, buf, src, tar); + } + + /* 求解汉诺塔 */ + public void solveHanota(List A, List B, List C) { + int n = A.Count; + // 将 A 顶部 n 个圆盘借助 B 移到 C + dfs(n, A, B, C); + } + + [Test] + public void Test() { + // 列表尾部是柱子顶部 + List A = new List { 5, 4, 3, 2, 1 }; + List B = new List(); + List C = new List(); + Console.WriteLine("初始状态下:"); + Console.WriteLine("A = " + string.Join(", ", A)); + Console.WriteLine("B = " + string.Join(", ", B)); + Console.WriteLine("C = " + string.Join(", ", C)); + + solveHanota(A, B, C); + + Console.WriteLine("圆盘移动完成后:"); + Console.WriteLine("A = " + string.Join(", ", A)); + Console.WriteLine("B = " + string.Join(", ", B)); + Console.WriteLine("C = " + string.Join(", ", C)); + } +} diff --git a/docs/chapter_divide_and_conquer/hanota_problem.md b/docs/chapter_divide_and_conquer/hanota_problem.md index 5deb01bee..fd4b9440d 100644 --- a/docs/chapter_divide_and_conquer/hanota_problem.md +++ b/docs/chapter_divide_and_conquer/hanota_problem.md @@ -153,7 +153,7 @@ [class]{hanota}-[func]{dfs} - [class]{hanota}-[func]{hanota} + [class]{hanota}-[func]{solveHanota} ``` === "Swift"