Added binary search

Binary search.java

@@ -0,0 +1,39 @@
+import  java.util.*;  
+class Binarysearch {  
+public static void main(String[] args) 
+{  
+  int[] arr = {16, 19, 20, 23, 45, 56, 78, 90, 96, 100};  
+    int item, location = -1;  
+    System.out.println("Enter the item which you want to search");  
+    Scanner sc = new Scanner(System.in);  
+    n = sc.nextInt();  
+    address = binarySearch(arr,0,9,item);  
+    if(address != -1)  
+    System.out.println("the location of the item is "+location);  
+    else   
+        System.out.println("Item not found");  
+ }  
+
+public static int binarySearch(int[] a, int beg, int end, int n)  
+{  
+    int mid;  
+    if(end >= beg)   
+    {     
+        mid = (beg + end)/2;  
+        if(a[mid] == n)  
+        {  
+            return mid+1;  
+        }  
+        else if(a[mid] < n)   
+        {  
+            return binarySearch(a,mid+1,end,n);  
+        }  
+        else   
+        {  
+            return binarySearch(a,beg,mid-1,n);  
+        }  
+
+    }  
+    return -1;   
+}  
+}  

heap Sort.java

@@ -0,0 +1,68 @@
+/*A heap is a tree with some special properties, so value of node should be greater
+than or equal to(less than or equal to in case of min heap) children of the node and
+tree should be complete binary tree */
+
+import java.util.*;
+
+public class HeapSortMain {
+
+   public static void buildheap(int []arr) {
+
+    /*
+     * As last non leaf node will be at (arr.length-1)/2 
+     * so we will start from this location for heapifying the elements
+     * */
+    for(int i=(arr.length-1)/2; i>=0; i--){
+           heapify(arr,i,arr.length-1);
+      }
+   }
+
+   public static void heapify(int[] arr, int i,int size) { 
+      int left = 2*i+1;
+      int right = 2*i+2;
+      int max;
+      if(left <= size && arr[left] > arr[i]){
+         max=left;
+      } else {
+         max=i;
+      }
+
+      if(right <= size && arr[right] > arr[max]) {
+         max=right;
+      }
+      // If max is not current node, exchange it with max of left and right child
+      if(max!=i) {
+         exchange(arr,i, max);
+         heapify(arr, max,size);
+      }
+   }
+
+   public static void exchange(int[] arr,int i, int j) {
+        int t = arr[i];
+        arr[i] = arr[j];
+        arr[j] = t; 
+   }
+
+   public static int[] heapSort(int[] arr) {
+
+      buildheap(arr);
+      int sizeOfHeap=arr.length-1;
+      for(int i=sizeOfHeap; i>0; i--) {
+         exchange(arr,0, i);
+         sizeOfHeap=sizeOfHeap-1;
+         heapify(arr, 0,sizeOfHeap);
+      }
+      return arr;
+   }
+
+   public static void main(String[] args) {
+      int[] arr={1,10,16,19,3,5};
+      System.out.println("Before Heap Sort : ");
+      System.out.println(Arrays.toString(arr));
+      arr=heapSort(arr);
+      System.out.println("=====================");
+      System.out.println("After Heap Sort : ");
+      System.out.println(Arrays.toString(arr));
+   }
+}
+