Number of Paths Efficient Code

In this class, We discuss the Number of Paths Efficient Code.

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Question:

Given MXN matrix

Our task is to find the number of paths from the top left to the bottom right corner.

Condition:

From each cell, we can move either down or right.

Example:

Input: 3X3

Output: 6

The below diagram shows the possible six paths.

Time complexity: O(MXN)

Space complexity: O(N)

Logic:

We discuss different ways to solve this example.

1) Using Back Tracking

2) Dynamic Programming

3) Permutations and Combinations

The explanation provided will help the user in solving the remaining examples.

We understand the way we need to think in competitive coding.

We provide a step-by-step explanation in the video.

Code: