Programmation dynamiqueIntermediate

Longest Increasing Subsequence

Find the longest subsequence where all elements are in increasing order. Classic DP problem.

#dynamic-programming#binary-search#optimization#sequences

Complexity Analysis

Time (Average)

O(n log n)

Expected case performance

Space

O(n)

Memory requirements

Time (Best)

O(n log n)

Best case performance

Time (Worst)

O(n log n)

Worst case performance

How it works

  • • Find longest subsequence in increasing order
  • • Dynamic programming approach
  • • O(n²) time complexity (DP solution)
  • • O(n) space complexity
  • • Classic DP problem with optimal substructure
Step: 1 / 0
500ms
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Real-time Statistics

Algorithm Performance Metrics

Progress0%
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Array Accesses
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Steps
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Algorithm Visualization

Step 1 of 0

Initialize array to begin

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Code Execution

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Implementation

Longest Increasing Subsequence (LIS) - Algorithm Vision