7. A prime number is an integer greater than one that is only divisible by one and itself. Write a function in the form of Prime(n) that determines whether or not n is a prime number. Use your Prime function to determine the prime numbers in x, where x-np.arange(8).
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- 3. Find Relatively Prime Write a function to return a number that is relatively prime with the given number. /* return an integer that is relatively prime with n, and greater than 1i.e., the gcd of the returned int and n is 1 Note: Although gcd(n,n-1)=1, we don't want to return n-1*/int RelativelyPrime (int n) 4. Find Inverse Then implement the following function, which returns the inverse modulo, and test it.Note that you need to check whether a and n are relative prime before calling thisfunction. Recall that a and n are relatively prime means that gcd(a,n)=1, i.e., theirgreatest common divisor is 1. Also recall that the extended Euclidean Algorithm canfind the integer s and t for a and n such that as+nt=gcd(a,n), where s is the inverseof a modulo n. /* n>1, a is nonnegative *//* a<=n *//* a and n are relative prime to each other *//* return s such that a*s mod n is 1 */int inverse (int a, int n){int s, t;int d = ExtednedEuclidAlgGCD (n, a, s, t);if (d==1){return (mod (t,…Write a function that asks the user for their birthday month and day and then the function should call a nested function to find out the person’s zodiac sign. Test your program with some user input. Aries: March 21 - April 19 Taurus: April 20 – May 20 Gemini: May 21- June 21 Cancer: June 22- July 22 Leo: July 23 – August 22 Virgo: August 23 – September 22 Libra: September 23 – October 23 Scorpio: October 24 – November 21 Sagittarius: November 22 – December 21 Capricorn: December 22 – January 19 Aquarius: January 20 – February 18 Pisces: February 19 – March 20What is the best statement about the following function, f1? void f1 (int i) { int j; for (j = 0; j < i; ++j); cout << ‘*’; cout << endl; } Group of answer choices The f1 function prints a star. The f1 function prints a start on the ith line. The f1 function prints a line of i-1 stars. The f1 function prints a start on each of the i lines. The f1 function prints a start on each of the i-1 lines.
- Let 1 represent true and 0 represent false. The function Conjunction(), whose incomplete code is given below, computes p∧q: def Conjunction(p,q):#FIX ME#return 1else:return 0 What should the line of code which contains the expression #FIX ME# be replaced with in order to complete the code? Question 3 options: if p != q: if p == 0 and q == 0: if p == q: if p == 1 and q == 1:An integer number is said to be a perfect number if its factors, including 1 (but not the number itself), sum to the number. For example, 6 is a perfect number because 6 =1 + 2 + 3. Write a function perfect that determines if parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1 and 1000. Print the factors of each perfect number to confirm that the number is indeed perfect. Challenge the power of your computer by testing numbers much larger than 1000.14. In written text small numbers are often written out, e.g. you'd write 'I have twobrothers and one sister', rather than 'I have 2 brothers and 1 sister'. Here we want toimplement one (1?) function that helps us realize this. Write a function smallnr() thattakes a number x and if x is an integer between 0 and 6 it returns the name of thenumber, otherwise it simply returns x as a string.>>> smallnr(2)'two'>>> smallnr(0)'zero'>>> smallnr(7)'7'
- What is the output of the code below? def mystery_func(input, num, t = 0, x = 10, y = 10)[this function multiples all arguments together (except t) and raises the result to the power of t and returns this]print(mystery_func(2, 3))How could a create a function that drops the lowest grade on this grading calculator? For example: John 100 100 0 = D Create a function to drop the lowest grade so John 100 100 (0 dropped) = A #include<iostream>#include<string>using namespace std; char getGrade(double average){ if(average>=90)return 'A'; else if(average>=80)return 'B'; else if(average>=70)return 'C'; else if(average>=60)return 'D'; else return 'F';} void sort(string lastnames[] , char grades[], int n){ for(int i=0;i<n;i++){ for(int j=0; j<n-i-1;j++){ if(lastnames[j].compare(lastnames[j+1])>0){ string temp = lastnames[j];lastnames[j]=lastnames[j+1];lastnames[j+1]=temp; char t = grades[j];grades[j]=grades[j+1];grades[j+1]=t; } } }} int main(){ int students; int s1,s2,s3; double average; cout<<"This is an automatic grade calculator. Please enter the number of students in the class:\n"; cin…A natural number is prime if it is greater than 1 and has no divisors other than 1 and itself.Example: 8 isn't a prime number, as you can divide it by 2 and 4 (we can't use divisors equal to 1 and 8 as the definition prohibits this). On the other hand, 7 is a prime number as we can't find any legal divisors for it.Your task is to write a function checking whether a number is prime or not.The function:•is called IsPrime()•takes one argument (the value to check)•returns True if the argument is a prime number, and False otherwise.Hint: try to divide the argument by all subsequent values (starting from 2) and check the remainder - if it's zero, your number cannot be a prime; think carefully about when you should stop the process.If you need to know the square root of any value you can utilize the ** operator. Remember: the square root of x is the same as x**0.5Python programming question Write a code that calculates all the prime numbers between 1 and 20. (Hint: Use a loop and call the…
- A natural number is prime if it is greater than 1 and has no divisors other than 1 and itself. Example: 8 isn't a prime number, as you can divide it by 2 and 4 (we can't use divisors equal to 1 and 8 as the definition prohibits this). On the other hand, 7 is a prime number as we can't find any legal divisors for it. Your task is to write a function checking whether a number is prime or not. Please us phython language The function: is called IsPrime() takes one argument (the value to check) returns True if the argument is a prime number, and False otherwise. Hint: try to divide the argument by all subsequent values (starting from 2) and check the remainder - if it's zero, your number cannot be a prime; think carefully about when you should stop the process. If you need to know the square root of any value you can utilize the ** operator. Remember: the square root of x is the same as x**0.5 Write a code that calculates all the prime numbers between 1 and 20. (Hint: Use a loop and…Please code in python Using the function from the previous problem, write a function durdle_game(target) which takes in as an argument a single string that will be the target to guess, and lets the user attempt to guess the target word. Each time the user makes a guess, the function will print out the result of the previous function to tell the user how close they are. If the user guesses correctly, then the game is over. Have the function return the number of guesses that it took the user to get the correct answer Hints: You may assume that the target and all of the input strings are 5 letters and all lowercase.What is the output of the code below? def mystery_func(input, num, t = 0, x = 10, y = 10)[this function multiples all arguments together (except t) and raises the result to the power of t and returns it]print(mystery_func(num = 9, input = 3, t = 1, y = 1))