Dynamic ProgrammingIntermediate

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

Array (comma-separated numbers)

Example Arrays:

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

Animation Speed500ms

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Real-time Statistics

Algorithm Performance Metrics

Progress0%

Comparisons

Swaps

Array Accesses

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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O(n³)

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O(n)

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O(m × n)

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