Draw a flow chart of perfect number.
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Perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128.
Draw a flow chart of perfect number.
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- Programming Exercise 10 in Chapter 6 asks you find the mean and standard deviation of five numbers. Extend this programming exercise to find the mean and standard deviation of up to 100 numbers. Suppose that the mean (average) of n numbers x1, x2, . . ., xn is x. Then the standard deviation of these numbers is:S=sqrt(((x1-x)^2+(x2-x)^2+...+(xi-x)^2+...+(xn-x)^2)/n)Number system is base 10, because it strings together the digits 0 – 9 to form any whole number (there is a 1’s place, a 10’s place, a 10-squared’s place, etc). Hexadecimal numbers are written in base 16. This means they string together the digits 0 – 9 and the letters A – F to form any whole number (there is a 1’s place, a 16’s place, a 16-squared’s place, etc). For example, BD3C8 and 305A2 are two different 5-digit hexadecimal numbers. How many 9-digit hexadecimal numbers are there that have exactly 4 zeroes. (Note: Hexadecimal numbers, like our normal base 10 numbers, cannot start with a 0).Correct answer will be upvoted else Multiple Downvoted. Computer science. You are given two positive integer groupings a1,… ,an and b1,… ,bm. For each j=1,… ,m track down the best normal divisor of a1+bj,… ,an+bj. Input :The primary line contains two integers n and m (1≤n,m≤2⋅105). The subsequent line contains n integers a1,… ,an (1≤ai≤1018). The third line contains m integers b1,… ,bm (1≤bj≤1018). Output :Print m integers. The j-th of them ought to be equivalent to GCD(a1+bj,… ,an+bj).
- palindromic prime is a prime number and also palindromic.For example, 131 is a prime and also a palindromic prime, as are 313 and 757.Write a program that displays the first 120 palindromic prime numbers. Display10 numbers per line, separated by exactly one space, as follows:2 3 5 7 11 101 131 151 181 191313 353 373 383 727 757 787 797 919 929hexadecimal We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10 different “digits” {0, 1, . . . , 9}. Sometimes though it is useful to write numbers hexadecimal or base 16. Now there are 16 distinct digits that can be used to form numbers: {0,1,...,9,A,B,C,D,E,F}. So for example, a 3 digit hexadecimal number might be 2B8. (d) How many 3-digit hexadecimals start with a letter (A-F) or end with a numeral (0-9) (or both)? Explain (please answer it the way i can make myself understand)1- Each Student Creates the F1 & F2 Equation With Their Own Number For example: Student Number: 249176126876 FI=2X^5+4X^4+9X^3+1X^2+7X^1+6X^0 F2 =1X^5+2X^4+6X^3+8X^2+7X^1+6X^0 For two equations: 1. Perform addition and the result (T) is variable. 2. Subtract and the result (C) is variable. 3. If: X = linspace (-5, 5, 100), plot the relationship between X and T. 4. Do the multiplication and the result (V) is a variable. 5. Divide and the result (A, B) is variable. 6. Introduce (T/F1) as a transfer function in MATLAB. 2- Program the desired operation using MATLAB commands for the given transfer function. write as: H1/H2=2X^5+9X^3+6/X^6+2X^4+8X^2+7X For X=linspace (1, 5, 10), if H1>H2, Draw the relationship between X and H1 or? Draw the relationship between X and H2 Note: Student number to be used in the solution; 207106106015 To be solved using the Matlap program
- Question 5: (30 marks) In mathematics, a prime number is a natural number greater than 1 that is not a product of two smaller natural numbers, i.e. is it has only two factors 1 and itself. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. Note that the prime number series is: 2, 3, 4, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, … a. Write a Java method named isPrime that takes a natural number as a parameter and returns the if the given number is prime or not using the following header: Public static boolean isPrime(int num) b. Write a Java class called PrimeNumbers that: o Reads from the user a natural value n (should be less than or equal 200). o Prints a list of the prime numbers from 2 to n and their number and values. o The program has to work EXACTLY as given in the following sample run. Hints: • You should create a single dimension…Question: 1A perfect number is an integer that is the sum of its positive proper divisors (all divisors except itself). For example, 6 is a perfect number. The divisors of 6 except itself are 1,2 and 3. The sum of the proper divisors of 6 is 6. Thus 6 is a perfect number. You have to take integers as input and continue taking input until the word “STOP” is given as input. After taking the inputs you have to classify the integers as Perfect and Imperfect and store it in a dictionary(Please see the output for better understanding).[Note: You CANNOT use any built in functions EXCEPT input(),range(),print()]Sample Input :61082528100496530STOPSample Output:(No need to follow the output format. Just print the resultant dictionary.){Perfect: [6,28,496],Imperfect: [10,8,25,100,530]}The greatest common divisor (gcd) of the two integers 4 and 2 is 2. The greatest common divisor of the two integers 16 and 24 is 8. How would you write this program to find the greatest common divisor?
- 5-Star Restaurant by Jay Vince Serato I'm running a 5-star restaurant and I can only have the best items on my menu. My menu offers 6 items, each represented by a number from 1-6. If an item on my menu does not sell or does not sell that much compared to others, I must act and replace it with something that sells! Identify which dishes do not sell. If every dish sells, print the set of dishes that were ordered least. Input A single line containing the dish number that were ordered. Treat as one number. 156356231 Output The list of dishes not ordered in numerical order. If every dish sells, print the set of dishes that were ordered least. Separate each number with a new line. 4Question # 8: Write a program that inputs a number and checks whether it is a perfect number or not. A perfect number is the number that is numerically equal to the sum of its divisors. For example, 6 is a perfect number because the divisors of 6 are 1, 2, 3 and 1+2+3=6Lucky Pairs Richie and Raechal are participating in a game called "Lucky pairs" at the Annual Game Fair in their Company. As per the rules of the contest, two members form a team and Richie initially has the number A and Raechal has the number B.There are a total of N turns in the game, and Richie and Raechal alternatively take turns. In each turn, the player's number is multiplied by 2. Richie has the first turn. Suppose after the entire N turns, Richie’s number has become C, and Raechal’s number has become D, the final score of the team will be the sum of the scores (C+D) of both the players after N turns. Write a program to facilitate the quiz organizers to find the final scores of the team. Input and Output Format:The only line of input contains 3 integers A, B, and N.Output a single line that contains the integer that gives the final score of the team which will be the sum of the scores of both the players after N turns.Refer sample input and output for formatting specifications.…