Lesson 285
Palindrome Partitioning
Minimum Cuts · Dynamic Programming
1:00How to find the minimum number of cuts to split a string into palindromic pieces using a two-phase DP — a precomputed isPal table followed by a cut recurrence.
By the end, you can
- Explain why brute force and greedy are both suboptimal for minimum-cut palindrome partitioning.
- Build the isPal[i][j] table from scratch, filling it by increasing length using the correct recurrence.
- Trace the cut recurrence to compute cut[i] for a short example string like "aab".
- Identify the base case (isPal[0][i] = True implies cut[i] = 0) and the general recurrence.
- State the time and space complexities of the DP solution and name the optimization that reduces space to O(n).
- Handle the all-palindrome and all-distinct edge cases directly from the algorithm's logic.
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