Minimum Swaps brackets balancing
Detailed guide and Python implementation for the 'Minimum Swaps brackets balancing' problem.
1. Concept Overview
The 'Minimum Swaps brackets balancing' problem is a key challenge in the Greedy section.
This implementation focuses on easy-level logic in Python.
We prioritize technical accuracy and code readability in our provided solutions.
2. Real-World Applications
3. Visual Intuition
Visualizing the logic flow for Minimum Swaps brackets balancing.
4. Prerequisites
5. Step-by-Step Thinking
1. Understand the problem
Read the problem statement for Minimum Swaps brackets balancing carefully.
2. Formulate brute force
Draft a simple iterative solution.
3. Identify inefficiency
Look for redundant calculations.
4. Optimize search path
Use hashing or sorting to speed up the process.
5. Final Implementation
Clean up the code for production standards.
Problem Statement
Write a function minimum_swaps_balancing(s) that takes a string s of square brackets [ and ] containing equal numbers of opening and closing brackets, and returns the minimum number of swaps of adjacent characters needed to balance the string.
- •2 <= len(s) <= 10^5
- •s contains only '[' and ']'
- •Count of '[' equals count of ']'
Examples
minimum_swaps_balancing('[]][[]')1
Swap index 2 and 3 -> '[][][]', which is balanced. (1 swap)
minimum_swaps_balancing(']]][[[')6
We can swap adjacent brackets to make it balanced, requiring 6 swaps in total.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
Ready to Solve?
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Interview Insights & Variations
Complexity Analysis Breakdown
Why Time: Directly evaluates all possibilities.
Why Space: Uses standard local memory.
Why Time: Optimized paths reduce total operations.
Why Space: May trade memory for speed.
Optimized Solution Python Code
Optimized Solution Python Code
def min_swaps_opt(s):
res = count = 0
for char in s:
if char == '[': count -= 1
else:
count += 1
if count > 0: res += count
return resBrute Force Code (Spoiler Guarded)
Brute Force Code (Spoiler Guarded)
def min_swaps_brute(s):
# Simulating swaps (not practical)
return min_swaps_opt(s)Algorithm Pattern Checklist
When dealing with Greedy data patterns.
Core Prerequisites
Revision Key Notes
Common Mistakes & Pitfalls
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