Write a program that receives a value n and prints the expansion of the binomial (x + y) n. To do this, define the following auxiliary functions: - Define a function that calculates the binomial coefficient of two numbers. - Define a function that receives a character representing a variable and a positive integer value, n, and returns a string representing the variable raised to the power n.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem statement
Write a program that receives a value n and prints the expansion of the binomial (x + y) n. To do this, define the following auxiliary functions: - Define a function that calculates the binomial coefficient of two numbers. - Define a function that receives a character representing a variable and a positive integer value, n, and returns a string representing the variable raised to the power n.

 

Entry
A positive integer. Which will meet the following condition 1≤n≤25.


Departure
A character string representing the expansion of the binomial (x + y) n. The string must be written in pythonic style. It should end with a line change.


Examples

Input Example 1

4
Output Example 1

x ** 4 + 4 * x ** 3 * y + 6 * x ** 2 * y ** 2 + 4 * x * y ** 3 + y ** 4

Input Example 2

3
Output Example 2

x ** 3 + 3 * x ** 2 * y + 3 * x * y ** 2 + y ** 3

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