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動的計画法Intermediate

Kadane's Algorithm (Maximum Subarray)

Elegant dynamic programming algorithm that finds the contiguous subarray with maximum sum in O(n) time. Combines greedy and DP principles by deciding at each step whether to extend the current subarray or start a new one. Essential for stock profit optimization, signal processing, and understanding DP optimization techniques.

#dynamic-programming#greedy#optimization#stock-market

Complexity Analysis

Time (Average)

O(n)

Expected case performance

Space

O(1)

Memory requirements

Time (Best)

O(n)

Best case performance

Time (Worst)

O(n)

Worst case performance

Step: 1 / 0
500ms
SlowFast
Keyboard Shortcuts
Space Play/Pause← → StepR Reset1-4 Speed

Real-time Statistics

Algorithm Performance Metrics

Progress0%
Comparisons
0
Swaps
0
Array Accesses
0
Steps
1/ 0

Algorithm Visualization

Step 1 of 0

Initialize array to begin

Default
Comparing
Swapped
Sorted

Code Execution

Currently executing
Previously executed

Implementation

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Kadane's Algorithm (Maximum Subarray) - Algorithm Vision