Algorithm Analysis: Space Complexity and Data Space

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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?

Exponential Space Complexity (C) 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?

Logarithmic Time Complexity (B) Signup and view all the answers

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

Linear Space Complexity (B) Signup and view all the answers

What is the primary goal of analyzing algorithms?

To choose the best algorithm from multiple options for a given problem (D) Signup and view all the answers

Which of the following is not part of space complexity?

Execution Time (C) Signup and view all the answers

What is the primary focus of performance analysis in algorithms?

Predicting the resources required for an algorithm (B) Signup and view all the answers

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 (D) Signup and view all the answers

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

Data Space (D) Signup and view all the answers

What is the main purpose of understanding constant space complexity?

To understand the algorithms that require no additional space or very less space (C) Signup and view all the answers

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

Constant Time Complexity (B) 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; }'?

Linear Time Complexity (A) Signup and view all the answers

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

Delta Notation (C) Signup and view all the answers

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

The input is already sorted in descending order (B) Signup and view all the answers

What is considered as constant space complexity?

When the space required by the algorithm is not dependent on the input size (B) Signup and view all the answers

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

It performs sequential execution (B) Signup and view all the answers