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Dynamic Programming

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Dynamic Programming is a powerful technique in computer science and mathematics that's used to solve problems by breaking them down into smaller subproblems and storing their solutions to avoid redundant calculations. It's particularly useful for optimization problems where you want to find the best solution among many possible solutions.

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Dynamic Programming
Those who cannot remember the past are condemned to
repeat it ...




1|Page

,Climbing Stairs :
Recursion :




Memoization : (Top Down)




2|Page

,Tabulation : Bottom up




Space Optimization :




Shortcut :
1) Try to represent the problem in terms of index.
2) Do all possible stuffs on that according to the problem statement.
3) Sum of all stuff  count all ways.
4) Minimum/Maximum (of all stuff)  find minimum/maximum
5) All possible ways means  Recursion

Frog Jump :
Recursion :

3|Page

, Memoization :




4|Page

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Uploaded on
August 18, 2023
Number of pages
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Written in
2023/2024
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Madhav
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