Rope Cutting DSA Problem - Recursion, easy explanation!

The Rope Cutting Problem is a classic problem in recursion. You are given a rope of length n, and you need to cut it into as many pieces as possible. However, the possible lengths of the pieces you can cut are restricted to three specific values: a, b, and c. The task is to find the maximum number of pieces the rope can be divided into, where each piece's length is exactly a, b, or c.
Input:
n: The length of the rope.
a, b, c: The allowed lengths for each cut.
Output:
The maximum number of pieces the rope can be cut into. If it's impossible to cut the rope using the given lengths, return -1.
The problem is a recursive one, where:
We start with a rope of length n.
We recursively try cutting the rope using the three allowed lengths: a, b, and c.
After each cut, we reduce the length of the rope and repeat the process on the remaining rope.
The goal is to maximize the number of cuts until the length of the rope becomes zero. If a negative length is encountered, that path is invalid.
The recursive function follows these steps:
Base Case 1: If the rope length n becomes exactly 0, return 0 because no more cuts are needed.
Base Case 2: If the rope length n becomes negative, return -1 indicating an invalid path (cutting more than the available rope).
Recursive Step: For each cut size a, b, or c, recursively calculate the number of cuts on the remaining rope length. Then, take the maximum result from the three options, and if any valid cut is possible, add 1 to the result to account for the current cut.
Example:
If the rope length n = 5 and the allowed cuts are a = 2, b = 1, and c = 5:
The rope can be cut into 5 pieces: (cut 1 unit four times and one final piece of 1 unit).
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[@82yroldotaku]

Thank you sir, the explanation was quite easy to grasp.

[@Aakashchauhan2385]

@@82yroldotaku Share for better reach 😊

[@Ingenuity_0]

Can you also add the code editorial and run the program? It will be helpful

[@Aakashchauhan2385]

Sure I'll do it in the next vid, Share for better reach