Space Optimization Comparison in Dynamic Programming

Step 1 of 5

2D Table Approach

Example strings: s1 = "ABC", s2 = "XYZ"
Memory Usage: 16 cells

Optimized 1D Arrays

Example strings: s1 = "ABC", s2 = "XYZ"
Current Row:
Previous Row:
Memory Usage: 8 cells

2D Table Memory

(m+1) × (n+1) = 4 × 4 = 16 cells

Optimized 1D Arrays Memory

2 × (n+1) = 2 × 4 = 8 cells

Space Optimization in Dynamic Programming:

Welcome to the comparison of memory usage between a standard 2D DP table and an optimized approach using two 1D arrays.

Click "Next" to see how the space optimization works.