Tabulation: The Power of Anime and Manga

One of the powerful techniques used in dynamic programming is tabulation, which allows us to solve complex problems by filling a table with pre-computed values. It's like having a collection of your favorite animes and mangas that you can refer to anytime you need.

Imagine you're a fan of an anime series with a complex storyline and you want to keep track of the events that occur in each episode. Instead of rewatching the entire series multiple times, you decide to create a table that contains a summary of each episode. With this table in hand, you can quickly refer to it whenever you need to recall a specific event, saving you time and effort.

In dynamic programming, tabulation works in a similar way. It involves creating a table, usually represented as a two-dimensional array, to store the solutions of subproblems. Each cell in the table represents a specific state or combination of inputs. By filling the table with pre-computed values in a specific order, we can efficiently solve the original problem.

Here's an example of tabulation in Python:

1# Python code to demonstrate tabulation
2
3# Tabulation table
4table = [0] * (n+1)
5
6# Base cases
7table[0] = 0
8
9# Tabulate the values
10for i in range(1, n+1):
11    table[i] = table[i-1] + 1
12
13# Retrieve the solution
14solution = table[n]
15
16print('The solution is:', solution)

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const player = 'Kobe Bryant'