Question 2: Identifying a function's time and space efficiencyAn AI assistant was asked the following:"Please create a pseudocode function that can check if a given number n is prime or not, where n > 1."The assistant returned the three following functions:Function AFunction BFunction Cfunction isPrime(number n) for i from 2 to square root of n rounded down inclusive if n mod i is 0 return false return truefunction isPrime(number n) factors = generated array of numbers from 2 to n-1 inclusive for i in factors: if n mod i is not equal to 0 remove i from factors if factors is not empty return false return truefunction isPrime(number n) for i from 1 to n inclusive if i ≠ 1 and i ≠ n and n mod i equals 0 return false return trueQuestion:With respect to memory efficiency and time complexity, please select which function is the most efficient while still being a valid implementation.Function A is the most efficient functionFunction B is the most efficient functionFunction C is the most efficient functionAll three functions are the same in terms of efficiencyExplanationIn 2-3+ complete sentences, please provide your reasoning for your above selection.
Question
Question 2: Identifying a function's time and space efficiencyAn AI assistant was asked the following:"Please create a pseudocode function that can check if a given number n is prime or not, where n > 1."The assistant returned the three following functions:Function AFunction BFunction Cfunction isPrime(number n) for i from 2 to square root of n rounded down inclusive if n mod i is 0 return false return truefunction isPrime(number n) factors = generated array of numbers from 2 to n-1 inclusive for i in factors: if n mod i is not equal to 0 remove i from factors if factors is not empty return false return truefunction isPrime(number n) for i from 1 to n inclusive if i ≠ 1 and i ≠ n and n mod i equals 0 return false return trueQuestion:With respect to memory efficiency and time complexity, please select which function is the most efficient while still being a valid implementation.Function A is the most efficient functionFunction B is the most efficient functionFunction C is the most efficient functionAll three functions are the same in terms of efficiencyExplanationIn 2-3+ complete sentences, please provide your reasoning for your above selection.
Solution
Function A is the most efficient function. This is because it only iterates up to the square root of n, which significantly reduces the number of iterations compared to the other two functions. Additionally, it does not use any additional memory to store factors like Function B, making it more memory efficient. Function B and C iterate up to n, making them less time efficient, and Function B also uses additional memory to store factors, making it less memory efficient.
Similar Questions
An AI assistant was asked the following:"Please create a pseudocode function that can check if a given number n is prime or not, where n > 1."The assistant returned the three following functions:Function AFunction BFunction Cfunction isPrime(number n) for i from 2 to square root of n rounded down inclusive if n mod i is 0 return false return truefunction isPrime(number n) factors = generated array of numbers from 2 to n-1 inclusive for i in factors: if n mod i is not equal to 0 remove i from factors if factors is not empty return false return truefunction isPrime(number n) for i from 1 to n inclusive if i ≠ 1 and i ≠ n and n mod i equals 0 return false return trueQuestion:With respect to memory efficiency and time complexity, please select which function is the most efficient while still being a valid implementation.Function A is the most efficient functionFunction B is the most efficient functionFunction C is the most efficient functionAll three functions are the same in terms of efficiencyExplanationIn 2-3+ complete sentences, please provide your reasoning for your above selection.
A prime number is an integer greater or equal to 2 that is only divisible by 1 and by itself. The first few primes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 …N is a prime if and only if it is not divisible evenly by any of the numbers from 2 to N−1. Let’s implement this decision as a function.In the same program numbers.cpp, add a functionbool isPrime(int n);The function should return true if n is a prime, otherwise return false. Change the main function to test your new code.
Please create a pseudocode function that can check if a given number n is prime or not, where n > 1.
When determining the efficiency of algorithm the time factor is measured byQuestion 9Answera.Counting the number of key operationsb.Counting the kilobytes of algorithmc.Counting microsecond’sd.Counting the number of statements
An algorithm returns one of five prime numbers using a zero-indexed array to store the numbers.01 function ReturnPrime(x)02 prime = [9369319,2521008887,1442968193,10619863,6692367337]03 c = 004 for i = 1 to x05 if c > prime.length -1 then06 c = 007 endif08 p = prime[c]09 c = c + 110 next i11 return p12 endfunctionRewrite the function ReturnPrime to make it more efficient.
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