Jump search

jumpSearch.cpp

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+/*
+Title - Jump search Algorithm
+It will search an array
+time complexity - O(N^0.5)
+*/
+
+#include<iostream>
+#include<cmath>
+
+using namespace std;
+int jump_Search(int a[], int n, int item) {
+   int i = 0;
+   int m = sqrt(n); //initializing block size= √(n)
+
+   while(a[m] <= item && m < n) { 
+      // the control will continue to jump the blocks 
+      i = m;  // shift the block
+      m += sqrt(n);
+      if(m > n - 1)  // if m exceeds the array size
+         return -1; 
+   }
+
+   for(int x = i; x<m; x++) { //linear search in current block
+      if(a[x] == item)
+         return x; //position of element being searched 
+   }
+   return -1;
+}
+
+int main() {
+   int n, item, loc;
+   cout << "\n Enter number of items: ";
+   cin >> n;
+   int arr[n]; //creating an array of size n
+   cout << "\n Enter items: ";
+
+   for(int i = 0; i< n; i++) {
+      cin >> arr[i];
+   }
+
+   cout << "\n Enter search key to be found in the array: ";
+   cin >> item;
+   loc = jump_Search(arr, n, item);
+   if(loc>=0)
+      cout << "\n Item found at location: " << loc;
+   else
+      cout << "\n Item is not found in the list.";
+}