Rod Cutting
Detailed guide and Python implementation for the 'Rod Cutting' problem.
Problem Statement
Write a function cut_rod(price, n) that takes a list of prices price where price[i] is the price of a rod of length i+1, and a total length n. Return the maximum value obtainable by cutting up the rod of length n and selling the pieces.
- •1 <= n <= 1000
- •len(price) >= n
- •1 <= price[i] <= 10000
Examples
cut_rod([1, 5, 8, 9, 10, 17, 17, 20], 8)
22
Cut the rod of length 8 into two pieces of length 2 and 6. The total value is 5 + 17 = 22.
cut_rod([3, 5, 8, 9, 10, 17, 17, 20], 8)
24
Cut the rod of length 8 into eight pieces of length 1. The total value is 8 * 3 = 24.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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