.If originally x=4, what is the value of x aft e evaluation of the expression: x -=4
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- 31. If originally x=4, what is the value of x after the evaluation of the expression: x++Problem-1: Check if an integer is Prime An integer greater than 1 is prime if its only positive divisor is 1 or itself. For example, 2, 3, 5, and 7 are prime numbers, but 4, 6, 8, and 9 are not. Key idea: To test whether a number is prime, check whether it is divisible by 2, 3, 4, and so on up to number/2. If a divisor is found, the number is not a prime. The algorithm can be described as follows: Use a boolean variable isPrime to denote whether the number is prime; Set isPrime to true initially; for (int divisor = 2; divisor <= number / 2; divisor++) { if (number % divisor == 0) { Set isPrime to false Exit the loop; } }The following statement should determine if x is not greater than 20. What is wrong with it?
- TRUE OR FALSE. Write TRUE if the statement is true, otherwise, writeFALSE.If P and Q are true statements and R is a false statement, then the statement (P ∧ Q) ∨ R ⇒ (¬Q) is true.What will be the final value of the variable x after execution of the given statement. Initial value of x is 3. x = ++x + ++xCorrect the following wrong statements. All binary operators except for the assignment operators are evaluated as user intention.
- Exercise III: Catalan numbers For n e N, denote by c, to be the number of ways to form a "mountain range" with n upstrokes (U) and n downstrokes (D) that all stay above a horizontal line. For instance: for n = 1, only UD is allowed, so c = 1; • for n = 2, only UUDD and UDUD are allowed, so c2 = 2. 1. Check that c3 = 5 by writing down or drawing all possible options. 2. Consider the power series +00 g(x) = 2 n=0 (by definition co = 1) called the generating function of the sequence (en). Justify that cn < 4" for each n, and deduce that the radius of convergence of g is at least 1/4. 3. It can be show that for r E (-1/4, 1/4), g(x) = 1+ xg(r)? and therefore 1- VI 4.x g(x) = 2.x Use this formula and the known power series of V1+ x to write the first terms of the power series expansion of g, in the form g(x) = co + c1x + c2x2 + C3x + c4x* + ·.. Show how you obtain a few terms, but you do not need to show all computations and you can use a calculator for fractions. Check that you recover co,…Scenario As you surely know, due to some astronomical reasons, years may be leap or common. The former are 366 days long, while the latter are 365 days long. Since the introduction of the Gregorian calendar (in 1582), the following rule is used to determine the kind of year: if the year number isn't divisible by four, it's a common year, otherwise, if the year number isn't divisible by 100, it's a leap year. otherwise, if the year number isn't divisible by 400, it's a common year. otherwise, it's a leap year. none of the above year int(input("enter the year")) if (year%4 1-0) and (year%400 -0) or (year % 1000): print (year is common year") else: print(year, is leap year") year= int(input ("enter the year")) if (years !-0) or (year480 1-0) and (year % 1001-0): print(year is common year") else: print(year, "is leap year") D year= int(input("enter the year"))Correct answer only. Code and output screenshot. Nastia has 2 positive integers An and B. She characterizes that: The integer is acceptable in case it is detachable by A⋅B; In any case, the integer is almost acceptable, in case it is detachable by A. For instance, if A=6 and B=4, the integers 24 and 72 are acceptable, the integers 6, 660 and 12 are almost acceptable, the integers 16, 7 are neither acceptable nor almost great. Discover 3 unique positive integers x, y, and z to such an extent that precisely one of them is acceptable and the other 2 are almost acceptable, and x+y=z. Input The main line contains a solitary integer t (1≤t≤10000) — the number of experiments. The primary line of each experiment contains two integers An and B (1≤A≤106, 1≤B≤106) — numbers that Nastia has. Output For each experiment print: "Indeed" and 3 distinct positive integers x, y, and z (1≤x,y,z≤1018) to such an extent that precisely one of them is acceptable and the other 2…
- 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]}Th e following sta tement should determine if x has a value other than 1 or 2.What is wrong with it?if (x ! = 1 11 x ! = 2)When you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making periodic payments over a certain period of time. Of course, the lending company will charge interest on the loan. Every periodic payment consists of the interest on the loan and the payment toward the principal amount. To be specific, suppose that you borrow $1,000 at an interest rate of 7.2% per year and the payments are monthly. Suppose that your monthly payment is $25. Now, the interest is 7.2% per year and the payments are monthly, so the interest rate per month is 7.2/12 = 0.6%. The first months interest on $1,000 is 1000 0.006 = 6. Because the payment is $25 and the interest for the first month is $6, the payment toward the principal amount is 25 6 = 19. This means after making the first payment, the loan amount is 1,000 19 = 981. For the second payment, the interest is calculated on $981. So the interest for the second month is 981 0.006 = 5.886, that is, approximately $5.89. This implies that the payment toward the principal is 25 5.89 = 19.11 and the remaining balance after the second payment is 981 19.11 = 961.89. This process is repeated until the loan is paid. Write a program that accepts as input the loan amount, the interest rate per year, and the monthly payment. (Enter the interest rate as a percentage. For example, if the interest rate is 7.2% per year, then enter 7.2.) The program then outputs the number of months it would take to repay the loan. (Note that if the monthly payment is less than the first months interest, then after each payment, the loan amount will increase. In this case, the program must warn the borrower that the monthly payment is too low, and with this monthly payment, the loan amount could not be repaid.)