jump search

Jump Search

@@ -0,0 +1,48 @@
+//Jump Search is a searching algorithm for sorted arrays
+//suppose we have an array arr[] of size n and a block (to be jumped) of size m.
+//Then we search in the indexes arr[0], arr[m], arr[2m]…..arr[km] and so on. 
+//Once we find the interval (arr[km] < x < arr[(k+1)m]), 
+//we perform a linear search operation from the index km to find the element x
+#include <bits/stdc++.h>
+using namespace std;
+
+int jumpSearch(int arr[], int x, int n)
+{
+    int step = sqrt(n);
+    int prev = 0;
+    while (arr[min(step, n)-1] < x)
+    {
+        prev = step;
+        step += sqrt(n);
+        if (prev >= n)
+            return -1;
+    }
+
+    while (arr[prev] < x)
+    {
+        prev++;
+
+        if (prev == min(step, n))
+            return -1;
+    }
+
+    if (arr[prev] == x)
+        return prev;
+
+    return -1;
+}
+
+
+int main()
+{
+    int arr[] = { 0, 1, 1, 2, 3, 5, 8, 13, 21,
+                34, 55, 89, 144, 233, 377, 610 };
+    int x = 55;
+    int n = sizeof(arr) / sizeof(arr[0]);
+
+
+    int index = jumpSearch(arr, x, n);
+
+    cout << "\nNumber " << x << " is at index " << index;
+    return 0;
+}