Practice Arena

Python Coding Challenges

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925 challenges 556 easy 323 medium 46 hard
Dynamic Programming medium

Partition Equal Subset

Determine whether a given list of positive integers can be partitioned into two subsets with equal sum.

dynamic-programming subset-sum memoization
+30 pts 25m
Dynamic Programming medium

Target Sum Subsets

Write a function that counts the number of subsets of a list of positive integers that sum exactly to a target.

subset-sum dp counting
+25 pts 30m
Dynamic Programming medium

Coin Change Ways

Count the number of distinct combinations of coins that sum to a target amount.

dynamic programming coins counting
+30 pts 25m
Dynamic Programming medium

Perfect Squares Sum

Given a positive integer n, return the least number of perfect squares (e.g., 1, 4, 9, 16, ...) that sum to n.

dynamic-programming math optimization
+25 pts 25m
Dynamic Programming medium

Integer Break Product

Given a positive integer n, break it into at least two positive integers that sum to n and maximize their product.

integer-break dynamic-programming max-product
+25 pts 30m
Dynamic Programming medium

Minimum Falling Path Sum

Compute the minimum falling path sum in an n x n matrix by moving down or diagonally each step.

dynamic programming grid path sum
+25 pts 25m
Dynamic Programming medium

Count subsets with sum

Given a list of integers and a target sum, count how many subsets of the list sum to the target.

subset-sum dynamic-programming counting
+20 pts 25m
Dynamic Programming medium

Target sum assignments

Given a list of integers and a target, count how many ways to assign + or - to each number so the total equals the target.

dynamic programming combinatorics arrays
+30 pts 25m
Dynamic Programming medium

Subset Sum Exists

Given a list of positive integers and a target sum, return whether some subset adds up exactly to the target.

subset sum dynamic programming knapsack
+25 pts 30m
Dynamic Programming medium

Minimum Path Sum Matrix

Implement a function that computes the minimum path sum from the top-left to the bottom-right of a grid moving only right or down.

dynamic-programming matrix path
+20 pts 25m

Showing 1–10 of 10 challenges · medium · Dynamic Programming

Dynamic Programming — Python coding challenges

What you will find here

This page lists dynamic programming challenges — real Python problems you solve in the browser IDE with instant test feedback. Each challenge includes a clear brief, starter code, and automated checks.

Challenges vs tutorials and quizzes

Challenges test what you can build under constraints. For guided teaching, use our Python tutorials. For quick checks, try quizzes or copy snippets from code samples.