Add Java and C++ code for the chapter of

divide and conquer.

codes/java/chapter_divide_and_conquer/binary_search_recur.java

@@ -0,0 +1,45 @@
+/**
+ * File: binary_search_recur.java
+ * Created Time: 2023-07-17
+ * Author: krahets (krahets@163.com)
+ */
+
+package chapter_divide_and_conquer;
+
+public class binary_search_recur {
+    /* 二分查找：问题 f(i, j) */
+    static 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 */
+    static 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);
+    }
+
+    public static void main(String[] args) {
+        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);
+        System.out.println("目标元素 6 的索引 = " + index);
+    }
+}