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steps

Step 1: Understand the problem

  • Read the problem description at least twice to fully grasp the requirements
    • Identify the input and output
    • Note the constraints (e.g., input size, value ranges)
    • Study the examples to understand the expected behavior

Step 2: Analyze and develop an approach

  • Determine the problem's core essence (e.g., array manipulation, dynamic programming)
  • Test the problem with a small example to uncover patterns or rules
  • Brainstorm a solution approach (e.g., brute force, optimized method)
  • Classify the problem category (e.g., DP, graph, binary search)
  • Validate your idea by mentally running it on examples, including edge cases

Step 3: Write pseudocode

  • Outline your solution in pseudocode to clarify the logic and steps before coding

Step 4: Analyze time and space complexity

  • Estimate the time complexity (e.g., O(n²))
  • Estimate the space complexity (e.g., O(n))
  • Check if the solution meets the problem's constraints

Step 5: Write the code

  • Implement the solution in your chosen language, ensuring clarity and correctness

Step 6: Test and debug

  • Run your code on the provided examples and edge cases
  • Debug any issues by tracing the code and fixing errors

Step 7: Optimize the solution

  • Look for ways to reduce time or space complexity
  • Minimize constant factors (e.g., avoid redundant operations)
  • Compare with other solutions to learn better approaches