pyPython Practice LabFrom first print to final round
TOPIC 17 OF 18

Dynamic Programming Python lessons

State design, recurrences, memoization, tabulation, optimization, and overlapping subproblems.

11 exercises8+ conceptsBeginner → interview context
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WHAT YOU WILL LEARN

Core concepts

Count ways to climb stairsMaximize nonadjacent house lootFind minimum coinsSolve 0/1 knapsackFind longest increasing subsequence lengthFind longest common subsequence lengthCalculate edit distancePartition values into equal sums
REUSABLE THINKING

Problem-solving patterns

  • dynamic programming · Fibonacci
  • house robber · DP
  • coin change · bottom-up DP
  • knapsack · space optimization
  • LIS · binary search
LESSON OUTCOME

What this topic builds

Learn the idea once, trace it through two verified cases, then explain why your approach works.

ORDERED LESSONS

All 11 lessons in this topic

Work from top to bottom to build each concept gradually.

  1. #164
    Count ways to climb stairs

    Count different one-step and two-step sequences that reach stair five.

    BeginnerPremium
  2. #165
    Maximize nonadjacent house loot

    Find the maximum value without choosing adjacent houses.

    IntermediatePremium
  3. #166
    Find minimum coins

    Find the fewest coins needed to make eleven.

    IntermediatePremium
  4. #167
    Solve 0/1 knapsack

    Maximize value under a small carrying capacity.

    IntermediatePremium
  5. #168
    Find longest increasing subsequence length

    Find the LIS length in a common interview example.

    AdvancedPremium
  6. #169
    Find longest common subsequence length

    Find the LCS length for two strings with characters in common order.

    AdvancedPremium
  7. #170
    Calculate edit distance

    Find the minimum edits needed to convert kitten to sitting.

    AdvancedPremium
  8. #171
    Partition values into equal sums

    Determine that the values can be split into two equal-sum groups.

    Interview-LevelPremium
  9. #172
    Segment a string into dictionary words

    Check whether the complete string can be split into dictionary entries.

    Interview-LevelPremium
  10. #173
    Count numeric message decodings

    Count all A-to-Z interpretations of a digit string.

    Interview-LevelPremium
  11. #174
    Count unique paths with obstacles

    Count right-and-down routes that avoid a blocked cell.

    Interview-LevelPremium