Longest common subsequence

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Problem Description

The longest common subsequence (LCS) problem is the problem of finding the longest subsequence common to all sequences in a set of sequences (often just two sequences).

Bounds Chart

Longest common subsequenceBoundsChart.png

Step Chart

Longest common subsequenceStepChart.png

Improvement Table

Complexity Classes Algorithm Paper Links Lower Bounds Paper Links
Exp/Factorial
Polynomial > 3
Cubic
Quadratic
nlogn
Linear
logn