Grokking Dynamic Programming Patterns for Coding Interviews
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Solution: Maximum Ribbon Cut

Introduction

We are given a ribbon of length ‘n’ and a set of possible ribbon lengths. We need to cut the ribbon into the maximum number of pieces that comply with the above-mentioned possible lengths. Write a method that will return the count of pieces.

Example 1:

n: 5
Ribbon Lengths: {2,3,5}
Output: 2
Explanation: Ribbon pieces will be {2,3}.

Example 2:

n: 7
Ribbon Lengths: {2,3}
Output: 3
Explanation: Ribbon pieces will be {2,2,3}.

Example 3:

n: 13
Ribbon Lengths: {3,5,7}
Output: 3
Explanation: Ribbon pieces will be {3,3,7}.

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