Let L={ w in(0 + 1)* 1 | w has even number of 1s}, i.e. L is the set of all bit strings with even number of 1s. Which one of the regular expression below represents L? (A) (0* 10* 1)* (B) 0* (10* 10* )* (C) 0* (10* 1* )* 0* (D) 0* 1(10* 1)* 10*
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Let L={ w in(0 + 1)* 1 | w has even number of 1s}, i.e. L is the set of all bit strings with even number of 1s. Which one of the regular expression below represents L?
(A) (0* 10* 1)*
(B) 0* (10* 10* )*
(C) 0* (10* 1* )* 0*
(D) 0* 1(10* 1)* 10*
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- Consider the code C={00010, 01100,01011,11010,01010}. What is the minimum distance of C? For what k is the code C k-error detecting? Write the set of error patterns that C can detect?Write a program that having as an input a positive integer n, lists all the bit sequences of length n that do not have a pair of consecutive 0s.Let A denote the set of bit strings of length 5 that begins with 10 and B denote the set of bit strings of length 5 that terminate at 00. the number of elements in A∩B is ____
- Let U={0,1,2,3,4,5,6,7}. What bitstring represents the subset of all integers in U that are less that 4?You are given a string X of length n and another string Y of length m ≤n. Say,the indexes p1, p2, p3, p4 and q1, q2, q3, q4 form two sub-sequences, i.e., 0 ≤ p1 < p2 < p3 < p4 < nand 0 ≤q1 < q2 < q3 < q4 < n; then, they are non-overlapping if p4 < q1.The task is to count the maximum number of non-overlapping sub-sequences of X that are thesame as Y . Thus, if X = GAXTYAWBGTAUGBTABGRGTAXB and Y = GTAB, then the answer is3 as shown by the red fonts. We cannot select the underlined GTAB as it overlaps with a red GTAB(i.e., among overlapping sub-sequences, you can select only one of them).Describe an O(m + n) time algorithm to obtain the count. Write a pseudo-code.Let's say that the components of U are arranged in ascending order, with U = l, 2, 3, 4, 5, 6, 7, 8, 9, and 1 O, which means that aj = i. What bit strings encompass the subsets of all odd numbers in U, all even integers in U, and all integers in U that do not exceed 5?
- Give regular expressions for: a) All binary strings with exactly two 1’s b) All binary strings with double bit (contains 00 or 11) c) All binary strings without a double bGiven two arrays X and Y of positive integers, find the number of pairs such that xy > yx (raised to power of) where x is an element from X and y is an element from Y. Example 1: Input: M = 3, X[] = [2 1 6] N = 2, Y[] = [1 5]Output: 3Explanation: The pairs which follow xy > yx are as such: 21 > 12, 25 > 52 and 61 > 16 .Example 2: Input: M = 4, X[] = [2 3 4 5]N = 3, Y[] = [1 2 3]Output: 5Explanation: The pairs for the given input are 21 > 12 , 31 > 13 , 32 > 23 , 41 > 14 , 51 > 15 . Your Task:This is a function problem. You only need to complete the function countPairs() that takes X, Y, M, N as parameters and returns the total number of pairs. Expected Time Complexity: O((N + M)log(N)).Expected Auxiliary Space: O(1). Constraints:1 ≤ M, N ≤ 1051 ≤ X[i], Y[i] ≤ 103Let A be the set of all strings of decimal digits of length 5. For example 24157 and05189 are strings in A.(a) How many strings in A have exactly one 7?(b) How many strings in A have at least two 2’s?(c) How many strings in A have the digits in a strictly decreasing order? For example97643 and 54321 are such strings, but 14820 and 95421 are not.
- Given two numbers: n: number of consecutive letters beginning at a k: string length Output all possible k-length possible strings containing the first n letters of the alphabet. Letter repeats are allowed. Sample Run: # of letters: 4 length: 3 aaa aab aac aad aba abb abc abd aca acb acc acd ada adb adc add baa bab bac bad bba bbb bbc bbd bca bcb bcc bcd bda bdb bdc bdd caa cab cac cad cba cbb cbc cbd cca ccb ccc ccd cda cdb cdc cdd daa dab dac dad dba dbb dbc dbd dca dcb dcc dcd dda ddb ddc dddHow many bit strings contain exactly five 0s and fourteen 1s if every 0 must be immediately followed by two 1s? write an algorithm in C/C++ to implement this computationSuppose E = {a, b, c, d, e, f, g}. Find:(a) the representation of {d, f, a, g} as a bit string(b) the set represented by the bit string 0111011