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What are some beginner level dynamic programming problems that one can try practicing on CodeChef and other online judges?

To get started with dynamic programming (DP) and practice beginner-level problems, here are some suggestions from various resources:

Simple DP Problems

Coin Change and Subset Sum

  • Coin Change - Count Ways to Make Sum: Given an integer array of coins and a sum, count all combinations of coins to make the given value sum4.
  • Subset Sum Problem: Check if there is a subset of the given array whose sum is equal to the given sum4.

Basic DP Problems on CodeChef

  • House Robber: Determine the maximum amount of money you can rob from a series of houses without robbing two adjacent houses1.
  • Min Cost Path: Find the minimum cost path from the top-left to the bottom-right of a matrix1.
  • Decode Ways: Given a string of digits, determine how many ways it can be decoded into letters1.
  • Climbing Stairs: Calculate the number of ways to climb a staircase with a given number of steps, either 1 or 2 steps at a time1.

Other Beginner-Friendly Problems

  • Fibonacci Numbers: Calculate the nth Fibonacci number using DP14.
  • Longest Common Subsequence: Find the longest common subsequence between two strings14.
  • Edit Distance: Calculate the minimum number of operations to transform one string into another14.
  • Rod Cutting: Determine the maximum value obtainable by cutting up a rod and selling the pieces4.

Problems on Codeforces and CodeChef

Codeforces

  • New Year and the Permutation Concatenation: A simple DP problem involving permutations and concatenation3.
  • Consecutive Subsequence: Find the longest subsequence that consists of consecutive integers3.

CodeChef

  • Practice Problems: CodeChef offers a set of 21 practice problems on dynamic programming, covering various aspects such as climbing stairs, min cost path, and more5.

Additional Resources

  • CodeChef's Dynamic Programming Section: This section includes a variety of problems categorized by difficulty level, making it easier for beginners to start practicing5.
  • GeeksforGeeks DP Problems: This resource lists several beginner-level DP problems, including detailed explanations and examples14.

By starting with these problems, you can develop a solid understanding of dynamic programming and gradually move on to more complex problems.

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