Pascal's Triangle in Python | Leetcode Problems Tutorial - in ಕನ್ನಡ | Microdegree ಕನ್ನಡ

The Pascal triangle is an exciting concept of mathematics where a triangular array is formed by summing adjacent elements in the preceding row. In simple words, every number is generated by taking up the sum of the adjacent row, and the outside edges of a triangle are always 1. It is named after the famous French mathematician Blaise Pascal.

Solve the Problem from the below link:
https://leetcode.com/problems/pascals-triangle/

Pascal’s triangle is a pattern of the triangle which is based on nCr, below is the pictorial representation of Pascal’s triangle.

Method 1: Using nCr formula i.e. n!/(n-r)!r!

Algorithm:
Take a number of rows to be printed, let's assume it to be n
Make outer iteration i from 0 to n times to print the rows.
Make inner iteration for j from 0 to (N – 1).
Print single blank space ” “.
Close inner loop (j loop) //its needed for left spacing.
Make inner iteration for j from 0 to i.
Print nCr of i and j.
Close inner loop.
Print newline character (\n) after each inner iteration.

Time complexity: O(N2)

Method 2: We can optimize the above code by the following concept of a Binomial Coefficient, the i’th entry in a line number line is Binomial Coefficient C(line, i) and all lines start with value 1. The idea is to calculate C(line, i) using C(line, i-1).

C(line, i) = C(line, i-1) * (line - i + 1) / i

Time complexity: O(N2)

Method 3: This is the most optimized approach to printing Pascal’s triangle, this approach is based on powers of 11.

Trainer Name: Shreyas V

- About MicroDegree Platform
MicroDegree is an ed-tech platform teaching coding and job-ready skills in Kannada at an affordable price. Our vision is to empower local engineering talent from non-metro with foundational clarity in Kannada and connect them with the right job opportunities.

For more details reach out to [email protected]

Speak to MicroDegree's Career Guide at: +91 831 0882 795

?Join Microdegree Courses ?
https://bit.ly/3Ku9aAm

?Join MicroDegree's Telegram Channel?
https://t.me/microdegreekannada

? Subscribe to our Channel: https://bit.ly/3ajK4Cz

Also, Support us through our Social Media Platform ?
Website: https://microdegree.work
LinkedIn : https://www.linkedin.com/company/microdegree/
Facebook: https://www.facebook.com/microdegree
Instagram: https://www.instagram.com/micro.degree
Twitter: https://twitter.com/micro_degree

Tags:
Blaise Pascal, Coefficients of a binomial expansion, Binomial coefficients, Exponents, Decimal expansion, Statistics, leetcode, algorithms, data, data structures, programming, coding, testing, pascals, triangle, explained, hackerrank, interview, questions, solutions, java, python, Microdegree ಕನ್ನಡ, Pascal's Triangle, Pascal's Triangle in Python, Leetcode Problems, Leetcode Kannada