Tabulation Playground
PlaygroundsEasyMonitor bottom-up table updates and loop sequences in tabulated DP.
Alt+Shift+T
Configuration Panel
Bottom-Up Tabulation Grid (dp[i])
Time Complexity
O(N) time
Space Complexity
O(N) array storage space
Conceptual Overview
Tabulation (Bottom-Up Dynamic Programming) solves all subproblems iteratively in a specified topological order (usually from smallest to largest), filling up a table sequentially without recursive overhead.
Recurrence Relation
dp[i] = dp[i-1] + dp[i-2] with base cases dp[0]=0, dp[1]=1
State Transitions
Reads precomputed values at indices i-1 and i-2, computing dp[i] directly in O(1) time without recursion stack frames.
Source: CP-Algorithms dynamic programming reference