LeetCode 3781 - Maximum Score After Binary Swaps
Before I write the full guide, I need one clarification: can you confirm the exact LeetCode 3781 problem details or provide the official title/link?
Difficulty: 🟡 Medium
Topics: Array, String, Greedy, Heap (Priority Queue)
Solution
Before I write the full guide, I need one clarification: can you confirm the exact LeetCode 3781 problem details or provide the official title/link? “Maximum Score After Binary Swaps” does not match a problem I can reliably identify from memory, and I want to ensure the algorithm and proof are correct.
In particular, I want to verify this interpretation:
- You may repeatedly swap only adjacent
"01" -> "10"patterns, meaning'1'bits can move only to the left, never right. - The number of
'1'characters stays fixed. - The goal is to maximize the sum of
nums[i]at positions containing'1'after any sequence of valid swaps.
If that interpretation is correct, I will provide the complete detailed guide in the exact format you requested, including:
- Problem Understanding
- Brute Force and Optimal Approaches
- Comparison table
- Step by step Algorithm Walkthrough with proof sketch
- Complete Python solution
- Complete Go solution
- Worked examples
- Complexity analysis
- Assert based test cases
- Edge cases
I am asking because the optimal strategy depends on a subtle invariant about how far each '1' can move, and I want to avoid giving an incorrect derivation.