function to heapify a subtree. Here 'i' is the index of root node in array a[], and 'n' is the size of heap. */

Standard Kadane's Algorithm for maximum sum subarray.

Turn turtle left by angle units. Aliases: left | lt Argument: angle -- a number (integer or float) Turn turtle left

Move snake forward one segment.

Create a node

Bind fun to mouse-click event on this turtle on canvas. Arguments: fun -- a function with two arguments, to which will be assigned

This function takes last element as pivot, places the pivot element at its correct position in sorted array, and places all smaller (smaller than pivo

RECURSIVE DFS PREORDER

function to print the array elements */

Given a binary tree, print its Nodes in inorder*/

Print the tree

reversal using recursion

Set the orientation of the turtle to to_angle. Aliases: setheading | seth Argument: to_angle -- a number (integer or float)

Rotate the turtleshape to point in the specified direction Argument: angle -- number Rotate the turtleshape to point in the directio

Set the size and position of the main window. Arguments: width: as integer a size in pixels, as float a fraction of the screen.

Set/return turtle's stretchfactors/outline. Set resizemode to "user". Optional arguments: stretch_wid : positive number

Stamp a copy of the turtleshape onto the canvas and return its id. No argument. Stamp a copy of the turtle shape onto the canvas at

A utility function to swap two elements

Set title of turtle-window Argument: titlestring -- a string, to appear in the titlebar of the turtle graphics

Turns turtle animation on/off and set delay for update drawings. Optional arguments: n -- nonnegative integer delay -- nonne

Return the list of turtles on the screen. Example (for a TurtleScreen instance named screen): >>> screen.turtles() [<turtle.T

undo (repeatedly) the last turtle action. No argument. undo (repeatedly) the last turtle action. Number of available undo ac

Append Function

Function to check whether two characters are opening and closing of same type.

-ve on left side and +ve on right side

Average Function