Algorithm Analysis: Space Complexity and Data Space
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Questions and Answers

What is the space complexity of the 'square' function?

  • Logarithmic Space Complexity
  • Constant Space Complexity (correct)
  • Linear Space Complexity
  • Exponential Space Complexity

    • What is the space complexity of the 'sum' function?

  • Exponential Space Complexity
  • Linear Space Complexity (correct)
  • Logarithmic Space Complexity
  • Constant Space Complexity

    • What is the time complexity of an algorithm that iterates through an array of size n?

  • Logarithmic Time Complexity
  • Exponential Time Complexity
  • Linear Time Complexity (correct)
  • Constant Time Complexity

    • What is the space complexity of an algorithm that uses a recursive function?

    <p>Exponential Space Complexity</p> Signup and view all the answers

    What is the time complexity of an algorithm that uses a binary search to find an element in a sorted array?

    <p>Logarithmic Time Complexity</p> Signup and view all the answers

    What is the space complexity of an algorithm that uses a dynamic programming approach to solve a problem?

    <p>Linear Space Complexity</p> Signup and view all the answers

    What is the primary goal of analyzing algorithms?

    <p>To choose the best algorithm from multiple options for a given problem</p> Signup and view all the answers

    Which of the following is not part of space complexity?

    <p>Execution Time</p> Signup and view all the answers

    What is the primary focus of performance analysis in algorithms?

    <p>Predicting the resources required for an algorithm</p> Signup and view all the answers

    What is the primary difference between space complexity and time complexity?

    <p>Space complexity involves predicting memory usage, while time complexity involves predicting the number of operations</p> Signup and view all the answers

    What type of space complexity would be used for storing variables and constants in an algorithm?

    <p>Data Space</p> Signup and view all the answers

    What is the main purpose of understanding constant space complexity?

    <p>To understand the algorithms that require no additional space or very less space</p> Signup and view all the answers

    What is the time complexity of the function 'int square(int a) { return a*a; }'?

    <p>Constant Time Complexity</p> Signup and view all the answers

    What is the time complexity of the function 'int sum(int A[], int n) { int sum = 0, i; for(i = 0; i < n; i++) sum = sum + A[i]; return sum; }'?

    <p>Linear Time Complexity</p> Signup and view all the answers

    Which of the following is NOT a type of asymptotic notation?

    <p>Delta Notation</p> Signup and view all the answers

    Which of the following is NOT a best case scenario in algorithm analysis?

    <p>The input is already sorted in descending order</p> Signup and view all the answers

    What is considered as constant space complexity?

    <p>When the space required by the algorithm is not dependent on the input size</p> Signup and view all the answers

    Which of the following statements is true about the single processor machine mentioned in the text?

    <p>It performs sequential execution</p> Signup and view all the answers

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