Algorithm Analysis: Space Complexity and Data Space

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18 Questions

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

Constant Space Complexity

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

Linear Space Complexity

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

Linear Time Complexity

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

Exponential Space Complexity

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

Logarithmic Time Complexity

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

Linear Space Complexity

What is the primary goal of analyzing algorithms?

To choose the best algorithm from multiple options for a given problem

Which of the following is not part of space complexity?

Execution Time

What is the primary focus of performance analysis in algorithms?

Predicting the resources required for an algorithm

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

Space complexity involves predicting memory usage, while time complexity involves predicting the number of operations

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

Data Space

What is the main purpose of understanding constant space complexity?

To understand the algorithms that require no additional space or very less space

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

Constant Time Complexity

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; }'?

Linear Time Complexity

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

Delta Notation

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

The input is already sorted in descending order

What is considered as constant space complexity?

When the space required by the algorithm is not dependent on the input size

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

It performs sequential execution

Explore how to analyze algorithms based on their Space complexity by considering only Data Space and ignoring Instruction Space and Environmental Stack usage. Calculate memory required to store variables, constants, structures, etc. through examples like the given square function.

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