Fibonacci Series – Dynamic Programming (Tabulation)
Interactive visualization of Fibonacci using bottom-up dynamic programming
Algorithm: Fibonacci Series
Technique: Dynamic Programming (Tabulation)
Pseudocode: Shown and executed step-by-step below
1.5s
Pseudocode Execution
Watch the algorithm execute line by line
Tabulation Table
Bottom-up dynamic programming approach
Current Step
Step Number:
0
Click "Start" to begin the visualization
Complexity Analysis
Time Complexity
O(n)
Linear iteration through table
Space Complexity
O(n)
Array storage for all values
Current Values
Target (n)
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Current Index (i)
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Result
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About Tabulation Method
The Tabulation Method is a bottom-up dynamic programming approach to solve the Fibonacci sequence. Unlike recursion with memoization (top-down), tabulation builds the solution iteratively from the smallest subproblems.
✓ Advantages
- • No recursion overhead or stack space
- • Predictable memory usage
- • Simple iteration-based logic
- • Optimal for problems with clear dependencies
💡 Key Concept
- • Store results in a table (array)
- • Fill table from base cases upward
- • Each cell uses previously computed values
- • Final answer is in table[n]