Programmation dynamiqueIntermediate

Plus longue sous-séquence croissante

Trouvez la plus longue sous-séquence où tous les éléments sont en ordre croissant. Problème classique de programmation dynamique.

#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
SlowFast
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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

Longest Increasing Subsequence (LIS) - Algorithm Vision | Algorithm Vision