Table of Contents
How will you measure the input size of an algorithm?
If an algorithm takes in a single number as input, we typically use the number of bits in the number. Sometimes, however, we just take the input number itself as the “size”. For example, if the task is “generate objects such that they satisfy the following constraints”, then would be the natural choice for the size.
Is a measure of minimum time that the algorithm will require for an input of size n?
52.233 Complexity. Complexity of an algorithm is a measure of the amount of time and/or space required by an algorithm for an input of a given size (n).
When determining the efficiency of algorithm is measured by?
time factor
Explanation: To determine the efficiency of an algorithm the time factor is measured by counting number of key operations.
What is the input size of a problem?
Summarizing, the size of the input is always the number of cell / tape positions containing the input, but the interpretation of this quantity depends on the model. More concretely, in your first example, the input includes the input array of length n as well as the number n, so the input length should be at least n+1.
When determining the efficiency of algorithm the time factor is measured by?
counting number of key operations
What is the need of measuring the complexity of an algorithm?
The execution speed of a program depends on the complexity of the algorithm, which is executed. If this complexity is low, the program will execute fast even for a big number of elements. If the complexity is high, the program will execute slowly or will not even work (it will hang) for a big number of elements.
How many inputs can an algorithm have?
Answer: nput: An algorithm has zero or more inputs, taken from a specified set of objects. output: An algorithm has one or more outputs, which have a specified relation to the inputs.
How do we measure the efficiency of algorithm Mcq?
1 . Two main measures for the efficiency of an algorithm are
- Processor and memory.
- Complexity and capacity.
- Time and space.
- Data and space.
What is the input size of a divisor algorithm?
However, for something like “determine whether the set of divisors of a number n has a subset for which the sum has properties X and Y ”, the input size would be log 2 n (the number of bits in n ). It depends, mostly on what the algorithm does. If an algorithm takes in a single number as input, we typically use the number of bits in the number.
How is the size of a number determined in an algorithm?
It depends, mostly on what the algorithm does. If an algorithm takes in a single number as input, we typically use the number of bits in the number. Sometimes, however, we just take the input number itself as the “size”. For example, if the task is “generate objects such…
What is the complexity of a 32-bit array of integers?
Your values will be uniform in the number of bits required to encode each value. If the input is a list of 32bit integers, then c = 32, the number of bits per integer. Complexity would be 32*n => O (n). In terms of L, if L is the largest value, and lg L is the number of bits required to encode L, then lg L is the constant c.
How do we choose the size of an input number?
If an algorithm takes in a single number as input, we typically use the number of bits in the number. Sometimes, however, we just take the input number itself as the “size”. For example, if the task is “generate n objects such that they satisfy the following constraints”, then n would be the natural choice for the size.