mplete the following program that collects an input word from the keyboard and finds if th indrome. A word is palindrome if the sequence of characters are the same from left-to-rig nt-to-left, for example, "dad", "racecar" or "rotor" are all palindrome words because they c same either forward or backward.
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- Computer Science A code C runs T seconds to obtain results for an input of size S. How to find the order of runtime for the code Cfor given pairs. Hint the answer is a formula that uses logarithm.(a) (S1,T1), (S2,T2)?(b) (S1,T1), (S2,T2), (S3, T3)?(xiii) Determine all the permutations of the numbers less than or equal to some given number n. For example, if n = 123, then the permutations are: 123 321 231 132 213 312 (xiv) Find a series of five consecutive numbers, the sum of the squares of the first three of which is equal to the sum of the squares of the last two. For example, (– 2)2+ (– 1)2+ 02= 12+ 22 (xv) Limit the checking within 1000, to show all the triad numbers within 10,000. A number is said to be a triad number if the double and triple of the number contain all separate digits with no repetition of any one of them. (xvi) Identify and show the integer values of x, y, and z that satisfy the equation: Z²= X²+ y²What is the new value of a after execution of following code? Consider ch=2 a. 57 b. 55 c. 47 d. 45
- Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × A# Exercise 1. Implement the algorithm covered in lectures that determines if an integer n is prime. Your function should return True, if n is prime, and False otherwise. Your algorithm has to be effective for n ~ 1,000,000,000,000.def isPrime(n):Need expression for "d" I already have expression for "g" Do asap. Please.
- Encryption is commonly used to disguise messageson the internet. A Caesar cipher performs a shift ofall of the characters in a string (based on their ASCIIvalues, see Table 2.1), e.g.h e l l o → m j q q tThe example shows a shift with a distance of 5characters, i.e. h(ASCII:104) → m(ASCII:109)Write a C/C++ program that asks the user to input aline of plaintext and the distance value and outputsan encrypted text using a Caesar cipher, with theASCII values range from 0 through 127. Useunderscores (ASCII: 95) to represent spacecharacters.Underscore characters should not be encrypted,and any character that is encrypted may notbecome an underscore. In this case, the charactershould be changed to the next character in theASCII table.The program should work for any printablecharacters.NB: No strings (datatype) or library functions maybe used.See Figure 2.1 for example output.3. Please Help me to solve the following all the subparts perfectly on word: PS: You just need to show the prove or disprove (for a) and show the prove or show if it is true (for b).4. ~(~C ≡ ~A) ѵ [(B ѵ C) • X] a) Replace each statement with the given assigned truth-values and rewrite the problem with the assigned truth-values ~(~t ≡ ~t) ѵ [(t ѵ t) • f] b) Using the truth-table, solve for the truth-value of the compound statement