diff --git a/codes/c/chapter_divide_and_conquer/CMakeLists.txt b/codes/c/chapter_divide_and_conquer/CMakeLists.txt index 34e23f6d..2f313319 100644 --- a/codes/c/chapter_divide_and_conquer/CMakeLists.txt +++ b/codes/c/chapter_divide_and_conquer/CMakeLists.txt @@ -1,2 +1,3 @@ add_executable(binary_search_recur binary_search_recur.c) add_executable(hanota hanota.c) +add_executable(build_tree build_tree.c) diff --git a/codes/c/chapter_divide_and_conquer/build_tree.c b/codes/c/chapter_divide_and_conquer/build_tree.c new file mode 100644 index 00000000..dbf925fd --- /dev/null +++ b/codes/c/chapter_divide_and_conquer/build_tree.c @@ -0,0 +1,60 @@ +/** + * File : build_tree.c + * Created Time: 2023-10-16 + * Author : lucas (superrat6@gmail.com) + */ + +#include "../utils/common.h" + +// 假设所有元素都小于 1000 +#define MAX_N 1000 + +/* 构建二叉树:分治 */ +TreeNode* dfs(int* preorder, int* inorderMap, int i, int l, int r, int size) { + // 子树区间为空时终止 + if (r - l < 0) + return NULL; + // 初始化根节点 + TreeNode* root = (TreeNode*)malloc(sizeof(TreeNode)); + root->val = preorder[i]; + root->left = NULL; + root->right = NULL; + // 查询 m ,从而划分左右子树 + int m = inorderMap[preorder[i]]; + // 子问题:构建左子树 + root->left = dfs(preorder, inorderMap, i + 1, l, m - 1, size); + // 子问题:构建右子树 + root->right = dfs(preorder, inorderMap, i + 1 + m - l, m + 1, r, size); + // 返回根节点 + return root; +} + +/* 构建二叉树 */ +TreeNode* buildTree(int* preorder, int preorderSize, int* inorder, int inorderSize) { + // 初始化哈希表,存储 inorder 元素到索引的映射 + int* inorderMap = (int*)malloc(sizeof(int) * MAX_N); + for (int i = 0; i < inorderSize; i++) { + inorderMap[inorder[i]] = i; + } + TreeNode* root = dfs(preorder, inorderMap, 0, 0, inorderSize - 1, inorderSize); + free(inorderMap); + return root; +} + +/* Driver Code */ +int main() { + int preorder[] = {3, 9, 2, 1, 7}; + int inorder[] = {9, 3, 1, 2, 7}; + int preorderSize = sizeof(preorder) / sizeof(preorder[0]); + int inorderSize = sizeof(inorder) / sizeof(inorder[0]); + printf("前序遍历 = "); + printArray(preorder, preorderSize); + printf("中序遍历 = "); + printArray(inorder, inorderSize); + + TreeNode* root = buildTree(preorder, preorderSize, inorder, inorderSize); + printf("构建的二叉树为:\n"); + printTree(root); + + return 0; +}