Day 39: Dynamic Programming - 1D Problems

After reading this chapter and engaging in the embedded activities and reflections, you should be able to:

• Set up one-dimensional DP tables for sequential decision problems
• Identify and initialize base cases in DP solutions
• Formulate recurrence relations from problem constraints
• Solve the climbing stairs problem using bottom-up DP
• Solve the house robber problem with non-adjacent constraints
• Solve the coin change problem with multiple approaches
• Apply space optimization techniques to reduce memory usage from O(n) to O(1)
• Recognize common patterns in 1D DP problems