Added JumpSearch algorithm

Search/jumpSearch.js

@@ -0,0 +1,37 @@
+/* The Jump Search algorithm allows to combine a linear search with a speed optimization.
+  * This means that instead of going 1 by 1, we will increase the step of √n and increase that 
+  * step of √n which make the step getting bigger and bigger.
+  * The asymptotic analysis of Jump Search is o(√n). Like the binary search, it needs to be sorted.
+  * The advantage against binary search is that Jump Search traversed back only once.
+ */
+
+const jumpSearch = (arr, value)=>{
+  const length = arr.length;
+  let step = Math.floor(Math.sqrt(length));
+  let lowerBound = 0;
+  while (arr[Math.min(step, length)-1] < value)
+  {
+    lowerBound = step;
+    step += step;
+    if (lowerBound >= length){
+      return -1;
+    }
+  }
+   
+  const upperBound = Math.min(step, length);
+  while (arr[lowerBound] < value)
+  {
+    lowerBound++;
+    if (lowerBound === upperBound){
+      return -1;
+    }
+  }
+  if (arr[lowerBound] === value){
+     return lowerBound;
+  }
+  return -1;
+}
+const arr = [0,0,4,7,10,23,34,40,55,68,77,90]
+jumpSearch(arr,4);
+jumpSearch(arr,34);
+jumpSearch(arr,77);