diff --git a/codes/c/chapter_divide_and_conquer/CMakeLists.txt b/codes/c/chapter_divide_and_conquer/CMakeLists.txt index 04f0bf4f1..34e23f6de 100644 --- a/codes/c/chapter_divide_and_conquer/CMakeLists.txt +++ b/codes/c/chapter_divide_and_conquer/CMakeLists.txt @@ -1 +1,2 @@ +add_executable(binary_search_recur binary_search_recur.c) add_executable(hanota hanota.c) diff --git a/codes/c/chapter_divide_and_conquer/binary_search_recur.c b/codes/c/chapter_divide_and_conquer/binary_search_recur.c new file mode 100644 index 000000000..72b579bf5 --- /dev/null +++ b/codes/c/chapter_divide_and_conquer/binary_search_recur.c @@ -0,0 +1,47 @@ +/** + * File: binary_search_recur.c + * Created Time: 2023-10-01 + * Author: Zuoxun (845242523@qq.com) + */ + +#include "../utils/common.h" + +/* 二分查找:问题 f(i, j) */ +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 */ +int binarySearch(int nums[], int target, int numsSize) { + int n = numsSize; + // 求解问题 f(0, n-1) + return dfs(nums, target, 0, n - 1); +} + +/* Driver Code */ +int main() { + int target = 6; + int nums[] = {1, 3, 6, 8, 12, 15, 23, 26, 31, 35}; + int numsSize = sizeof(nums) / sizeof(nums[0]); + + // 二分查找(双闭区间) + int index = binarySearch(nums, target, numsSize); + printf("目标元素 6 的索引 = %d\n", index); + + return 0; +}