Add Jump Search algorithm in searching/jump_search.cpp

searching/jump_search.cpp

@@ -0,0 +1,40 @@
+#include <iostream>
+#include <vector>
+#include <cmath>
+using namespace std;
+
+/**
+ * @brief Performs Jump Search on a sorted vector.
+ * 
+ * @param arr The sorted vector to search in.
+ * @param target The value to search for.
+ * @return Index of target if found, else -1.
+ */
+int jump_search(const vector<int>& arr, int target) {
+    int n = arr.size();
+    int step = sqrt(n);
+    int prev = 0;
+
+    while (arr[min(step, n) - 1] < target) {
+        prev = step;
+        step += sqrt(n);
+        if (prev >= n) return -1;
+    }
+
+    for (int i = prev; i < min(step, n); i++) {
+        if (arr[i] == target) return i;
+    }
+
+    return -1;
+}
+
+int main() {
+    vector<int> arr = {1, 3, 5, 7, 9, 13, 17, 21};
+    int target = 13;
+    int result = jump_search(arr, target);
+    if (result != -1)
+        cout << "Found at index: " << result << endl;
+    else
+        cout << "Not found" << endl;
+    return 0;
+}