Positive Number In Array: Buggy Code in JavaScript (Time Complexity: O(n))


Inside the code editor we've tried to write a function that takes an array nums as argument and returns true if there exists at least one positive (greater than zero) number in the array; returns false otherwise.

So when we called the function for [-1, 2, 3], we expected our code to print:

Array has positive numbers

but it seems like we made some mistakes because when we run our code, it prints:

Array doesn't have positive numbers

Assignment:

Your task is to fix our function.

Understanding the Problem

The core challenge here is to identify if there is at least one positive number in the given array. This is a common problem in array manipulation and has applications in data validation, filtering, and more. A potential pitfall is not correctly iterating through the array or misinterpreting the conditions for checking positive numbers.

Approach

To solve this problem, we need to iterate through the array and check each element to see if it is greater than zero. If we find such an element, we can immediately return true. If we finish the iteration without finding any positive numbers, we return false.

Naive Solution

A naive solution would involve iterating through the array and using a flag to indicate if a positive number has been found. This approach is straightforward but can be optimized.

Optimized Solution

An optimized solution would involve iterating through the array and returning true as soon as we find a positive number. This reduces unnecessary checks once the condition is met.

Algorithm

Here is a step-by-step breakdown of the optimized algorithm:

  1. Start iterating through the array.
  2. For each element, check if it is greater than zero.
  3. If a positive number is found, return true immediately.
  4. If the loop completes without finding a positive number, return false.

Code Implementation

function hasPositiveNumber(nums) {
  // Iterate through each element in the array
  for (let i = 0; i < nums.length; i++) {
    // Check if the current element is greater than zero
    if (nums[i] > 0) {
      // If a positive number is found, return true
      return true;
    }
  }
  // If no positive number is found, return false
  return false;
}

// Test cases
console.log(hasPositiveNumber([-1, 2, 3])); // Expected output: true
console.log(hasPositiveNumber([-1, -2, -3])); // Expected output: false
console.log(hasPositiveNumber([0, 0, 0])); // Expected output: false
console.log(hasPositiveNumber([1, -1, -2])); // Expected output: true

Complexity Analysis

The time complexity of this solution is O(n), where n is the number of elements in the array. This is because in the worst case, we need to check each element once. The space complexity is O(1) as we are not using any extra space that scales with the input size.

Edge Cases

Potential edge cases include:

  • An empty array: The function should return false.
  • An array with all negative numbers: The function should return false.
  • An array with all zeros: The function should return false.
  • An array with a single positive number: The function should return true.

These edge cases are handled by the current implementation.

Testing

To test the solution comprehensively, we should include a variety of test cases:

  • Arrays with mixed positive and negative numbers.
  • Arrays with all negative numbers.
  • Arrays with all zeros.
  • Empty arrays.
  • Arrays with a single positive number.

Using a testing framework like Jest can help automate and manage these tests effectively.

Thinking and Problem-Solving Tips

When approaching such problems, it's important to:

  • Understand the problem requirements and constraints.
  • Think about edge cases and how to handle them.
  • Start with a simple solution and then optimize it.
  • Write clean, readable code with comments to explain your logic.

Practicing similar problems and studying different algorithms can help improve problem-solving skills.

Conclusion

In this blog post, we discussed how to identify if an array contains at least one positive number. We explored a naive solution and an optimized solution, provided a detailed algorithm, and implemented the solution in JavaScript. We also analyzed the complexity and discussed edge cases and testing strategies. Understanding and solving such problems is crucial for improving coding skills and preparing for technical interviews.

Additional Resources

For further reading and practice, consider the following resources: