Q2) (Perfect Numbers) 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.
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- Mark the following statements as true or false: a. To use a predefined function in a program, you need to know only the name of the function and how to use it. (1) b. A value-returning function returns only one value. (2, 3) c. Parameters allow you to use different values each time the function is called. (2, 7, 9) d. When a return statement executes in a user-defined function, the function immediately exits. (3, 4) e. A value-returning function returns only integer values. (4) f. A variable name cannot be passed to a value parameter. (3, 6) g. If a C++ function does not use parameters, parentheses around the empty parameter list are still required. (2, 3, 6) h. In C + + , the names of the corresponding formal and actual parameters must be the same. (3, 4, 6) i. A function that changes the value of a reference parameter also changes the value of the actual parameter. (7) j. Whenever the value of a reference parameter changes, the value of the actual parameter changes. (7) k. In C++, function definitions can be nested; that is, the definition of one function can be enclosed in the body of another function. (9) l. Using global variables in a program is a better programming style than using local variables, because extra variables can be avoided. (10) m. In a program, global constants are as dangerous as global variables. (10) n. The memory for a static variable remains allocated between function calls. (11)(Numerical) a. The following is an extremely useful programming algorithm for rounding a real number to n decimal places: Step 1: Multiply the number by 10n Step 2: Add 0.5 Step 3: Delete the fractional part of the result Step 4: Divide by 10n For example, using this algorithm to round the number 78.374625 to three decimal places yields: Step1:78.374625103=78374.625 Step2:78374.625+0.5=78375.125 Step3:Retainingtheintegerpart=78375Step4:78375dividedby103=78.375 Using this algorithm, write a C++ function that accepts a user-entered value and returns the result rounded to two decimal places. b. Enter, compile, and run the program written for Exercise 11a.(Numerical) Heron’s formula for the area, A, of a triangle with sides of length a, b, and c is A=s(sa)(sb)(sc) where s=(a+b+c)2 Write, test, and execute a function that accepts the values of a, b, and c as parameters from a calling function, and then calculates the values of sand[s(sa)(sb)(sc)]. If this quantity is positive, the function calculates A. If the quantity is negative, a, b, and c do not form a triangle, and the function should set A=1. The value of A should be returned by the function.
- 2. Modular arithmetic Write a function that returns the result of any integer modulo of n (i.e., reduce theinteger modulo n). Note that the C++ operator % can be used, but it returns a negativevalue, for example, -1 % 3 yields -1, so we need to do something adjustment (recallthat -1 mod 3 = 2 because -1= (-1)×3+2). Therefore, we will use the mod() functionfrom this step to implement the later encode() and decode() functions. /* precondition: n is greater than 1,a can be negativepostcondition: return a mod n (as defined in class)a mod n = r if and only if a = nk+r, 0 =< r < n (note thatr needs to be non-negative).*/int mod (int a, int n); -Please write in c++Fix an error and show it please? And here are the information about the homework and for the error too. def kwargs_to_args_decorator(*args, **kwargs): This question is meant to test your knowledge of creating a decorator that accepts an arbitrary number of positional and keyword arguments, to decorate a function that accepts an arbitrary number of positional and keyword arguments, and alters the arguments before passing them to the decorated function. When the decorated function is invoked, this decorator should modify the arguments the decorated function receives. This decorator should filter out all positional arguments passed to the decorated function, which are found in the positional arguments passed to the decorator when the decorator was initialized. It should also filter out all keyword arguments with keys that are found in the keyword arguments given to the decorator when the decorator was initialized. After performing the modifications to the arguments, the decorator should…“Days Into Year (C++)” By using my code (photo is attached), implement a Days Into Year function. It MUST BE of this form: int daysIntoYear ( int year, int month, int day ) ; In terms of "Days Into Year," how many days are we into the year based on a given date? For example, January 1 is 1 day into the year. Please have the code display 12 test cases with the result from the function, and the number of days into the year from some other source. So you can hand calculate the days into the year or use an internet web page. The typical output might look like this: (Please make the format better but be sure to automatically calculate agree/disagree column) You must include a leap year function that returns a bool and takes as a parameter the year. This function must be used in your code. Year Month day Days Into Year Value expected Agree/Disagree 2020 1 1 1 1 agree 2020 1…
- Please help me with my homework, in computer programming as follows: A number, a is a power of b if it is divisible by b and a/b is a power of b. Write a function called is_power that takes parameters a and b and returns True if a is a power of b. Note: you will have to think of the base case.Sum of two squares def sum_of_two_squares(n): Some positive integers can be expressed as a sum of two squares of some positive integers greater than zero. For example, 74 = 49 + 25 = 72 + 52. This function should find and return a tuple of two positive integers whose squares together add up to n, or return None if the parameter n cannot be broken into a sum of two squares. To facilitate the automated testing, the returned tuple must present the larger of its two numbers first. Furthermore, if some integer can be broken down to a sum of squares in several ways, return the breakdown that maximizes the larger number. For example, the number 85 allows two such representations 72 + 62 and 92 + 22 , of which this function must return (9, 2). The technique of two approaching indices that start from the beginning and end of a sequence, respectively, and approach each other until they meet somewhere, used in the function two_summers in one of our class examples, is directly applicable to this…ex program for this
- State whether each of the following is true or false. If false, explain why.a) Function printf always begins printing at the beginning of a new lineQ13/ Write a program in c++ that asks the user to input two numbers. If the first number entered is greater than the second number, the program should print the message: "The first number is greater." Otherwise, it should print the message: "The first number is smaller." .By using functions(Perfect Numbers) An integer number is said to be a perfect number if its factors, including1 (but not the number itself), sum to the number. For example, 6 is a perfect number because 6 =1 + 2 + 3. Write a function isPerfect that determines whether parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1and 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.