<ul><li>Brute force is a direct problem-solving strategy where all possible solutions are explored until the correct one is found.</li><li>It doesn’t rely on advanced heuristics and optimizations and so helps in understanding and solving problems.</li><li>Here are some common brute force problems with Python code, detailed time and space complexity analysis, and optimized patterns:</li><li>1. String Matching - Time Complexity: O(n * m) and Space Complexity: O(1)</li><li>2. Finding Duplicates - Time Complexity: O(n²) and Space Complexity: O(1)</li><li>3. Maximum Subarray Sum - Time Complexity: O(n³) and Space Complexity: O(1)</li><li>4. Palindrome Check - Time Complexity: O(n³) and Space Complexity: O(1)</li><li>5. Two Sum Problem - Time Complexity: O(n²) and Space Complexity: O(1)</li><li>6. Fibonacci Sequence - Time Complexity: O(2ⁿ) and Space Complexity: O(n)</li><li>By identifying patterns like Dynamic Programming, Hashing, and Matrix Exponentiation, performance and scalability can be improved.</li></ul>

Demystifying Algorithms: Brute Force

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