Dynamic ProgrammingIntermediate
Coin Change Problem
Classic dynamic programming problem that finds the minimum number of coins needed to make a target amount. Demonstrates optimal substructure where the solution depends on solutions to smaller amounts. Widely applied in financial systems, vending machines, and resource allocation optimization.
#dynamic-programming#optimization#unbounded-knapsack
Complexity Analysis
Time (Average)
O(amount × coins)Expected case performance
Space
O(amount)Memory requirements
Time (Best)
O(amount × coins)Best case performance
Time (Worst)
O(amount × coins)Worst case performance
Step: 1 / 0
500ms
SlowFast
Keyboard Shortcuts
Space Play/Pause← → StepR Reset1-4 Speed
Real-time Statistics
Algorithm Performance Metrics
Progress0%
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0
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0
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0
Steps
1/ 0
Algorithm Visualization
Step 1 of 0
Initialize array to begin
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Implementation