Describe an algorithm in pseudocode that returns last location of the second smallest integer that occurs in a finite list of integers, possibly not distinct (meaning some can have the same value).
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- Suppose that the check digit is computed as described in Example . Prove that transposition errors of adjacent digits will not be detected unless one of the digits is the check digit. Example Using Check Digits Many companies use check digits for security purposes or for error detection. For example, an the digit may be appended to a -bit identification number to obtain the -digit invoice number of the form where the th bit, , is the check digit, computed as . If congruence modulo is used, then the check digit for an identification number . Thus the complete correct invoice number would appear as . If the invoice number were used instead and checked, an error would be detected, since .Write an algorithm in pseudocode for generating a sequence of pseudorandom numbers using a linear congruential generator.How do you usse the Extended Euclidean Algorithm to express each gcd(a, b) as a linear combination? gcd(465, 2205)gcd(2021, 531)gcd(1234, 5678)
- Write the pseudocode for an algorithm that takes as input a list of numbers that are sorted in nondecreasing order, and finds the location(s) of the most frequently occurring element(s) in the list. If there are more than one element that is the most frequently occurring, then return the locations of all of them. Analyze the worst-case time complexity of this algorithm and give the O() estimate. (A list is in nondecreasing order if each number in the list is greater than or equal to the number preceding it.) ((Thank you for your help))A librarian wants to organize a shelf of books by arranging it through a catalog with codes. She wantsto use a code that begins with 4 letters followed by 4 non-zero digits. Using that algorithm, what is thechance of selecting one of the books following a code with second letter a consonant and the last digitodd.Suppose an algorithm requires 2n steps to complete a task for an input of size n. If the size of the input is doubled, what happens to the number of steps?