Dynamic Programming21 sections · 916 units
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Lessons from LPS

summary

What you learned:

1.1. Interval DP uses dp[i][j]dp[i][j] to represent answers for ranges [i,j][i, j].

2.2. The recurrence focuses on endpoints: do they match or not?

3.3. Iteration order matters: compute shorter ranges before longer ones.

4.4. Not all interval DP needs split point enumeration. LPS is the simplest form. Next, you'll see Matrix Chain Multiplication, where we do need to try all split points. But now you understand the interval structure.