Algorithm for insertion in BST

archie94 · archie94 · commit c6a22c0f3dd4 · 2016-06-04T15:14:56.000+05:30
diff --git a/algorithm/tree/binary_search_tree/bst_insert/code.js b/algorithm/tree/binary_search_tree/bst_insert/code.js
@@ -0,0 +1,34 @@
+function bst_insert ( root, element, parent ) { // node = current node , parent = previous node
+    tracer._visit ( root, parent )._wait ();
+    if ( element < root ) {
+        if ( T[root][0] === -1 ) {  // insert as left child of root
+            T[root][0] = element;
+            G[root][element] = 1; // update in graph
+            tracer._visit ( element, root )._wait ();
+            logger._print( element + ' Inserted ');
+        } else {
+            //tracer._clear ();
+            bst_insert ( T[root][0], element, root );
+        }
+    } else if ( element > root ) { // insert as right child of root
+        if( T[root][1] === -1 ) {
+            T[root][1] = element;
+            G[root][element] = 1; // update in graph
+            tracer._visit ( element, root )._wait ();
+            logger._print ( element + ' Inserted ');
+        } else {
+            //tracer._clear ();
+            bst_insert ( T[root][1], element, root );
+        }
+    }
+}
+
+var Root = elements[0]; // take first element as root
+logger._print ( Root + ' Inserted as root of tree ');
+tracer._setTreeData ( G, Root );
+
+for (var i = 1; i < elements.length; i++) {
+    tracer2._select ( i )._wait();
+    bst_insert ( Root, elements[i] ); // insert ith element
+    tracer2._deselect( i );
+}
diff --git a/algorithm/tree/binary_search_tree/bst_insert/data.js b/algorithm/tree/binary_search_tree/bst_insert/data.js
@@ -0,0 +1,34 @@
+var G = [ // G[i][j] indicates whether the path from the i-th node to the j-th node exists or not
+    [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
+    [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
+    [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
+    [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
+    [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
+    [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
+    [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
+    [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
+    [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
+    [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
+    [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
+];
+
+
+var T = [ // mapping to G as a binary tree , [i][0] indicates left child, [i][1] indicates right child
+        [-1,-1],
+        [-1,-1],
+        [-1,-1],
+        [-1,-1],
+        [-1,-1],
+        [-1,-1],
+        [-1,-1],
+        [-1,-1],
+        [-1,-1],
+        [-1,-1],
+        [-1,-1]
+];
+
+var elements = [5,8,10,3,1,6,9,7,2,0,4]; // item to be searched
+var tracer = new DirectedGraphTracer( " BST - Elements marked red indicates the current status of tree ");
+var tracer2 = new Array1DTracer ( " Elements ")._setData ( elements );
+var logger = new LogTracer ( " Log ");
+tracer.attach ( logger );
diff --git a/algorithm/tree/binary_search_tree/desc.json b/algorithm/tree/binary_search_tree/desc.json
@@ -4,13 +4,14 @@
     "Search applications where data is constantly entering/leaving such as map and set objects in many languages' library."
   ],
   "Complexity": {
-    "time": "Best : O(1) Average : O(logN) Worst : O(N)",
+    "time": " Best : O(1) Average : O(logN) Worst : O(N) ",
     "space": "O(n)"
   },
   "References": [
     "<a href='https://en.wikipedia.org/wiki/Binary_search_tree'>Wikipedia</a>"
   ],
   "files": {
-    "bst_search": "Search in Binary Search Tree"
+    "bst_search": "Search in Binary Search Tree",
+    "bst_insert": "Insert in Binary Search Tree"
   }
 }
