Let L1, L2, and L3 be languages over some alphabet. In each case below, two languages are given. Say what the relationship is between them. (Are they always equal? If not, is one always a subset of the other?) Give reasons for your answers, including counterexamples if appropriate. L¡L;, (L,L2)*
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- Python answer only. Correct answer will upvoted else downvoted. It is the ideal opportunity for your very first race in the game against Ronnie. To make the race intriguing, you have wagered a dollars and Ronnie has wagered b dollars. Yet, the fans appear to be frustrated. The fervor of the fans is given by gcd(a,b), where gcd(x,y) means the best normal divisor (GCD) of integers x and y. To make the race seriously invigorating, you can perform two kinds of activities: Increment both an and b by 1. Diminishing both an and b by 1. This activity must be performed if both an and b are more noteworthy than 0. In one action, you can play out any of these activities. You can perform self-assertive (potentially zero) number of moves. Decide the greatest energy the fans can get and the base number of moves needed to accomplish it. Note that gcd(x,0)=x for any x≥0. Input The principal line of input contains a solitary integer t (1≤t≤5⋅103) — the number of experiments.…Correct answer will be upvoted else downvoted. Computer science. string a matches an example b if for every I from 1 to k either bi is a special case character or bi=ai. You are approached to improve the examples so that the primary example the j-th string matches is p[mtj]. You are permitted to leave the request for the examples unaltered. Would you be able to perform such an improvement? Assuming you can, print any legitimate request. Input The primary line contains three integers n, m and k (1≤n,m≤105, 1≤k≤4) — the number of examples, the number of strings and the length of each example and string. Every one of the following n lines contains an example — k characters that are either lowercase Latin letters or highlights. All examples are pairwise unmistakable. Every one of the following m lines contains a string — k lowercase Latin letters, and an integer mt (1≤mt≤n) — the record of the main example the relating string should coordinate. Output Print "NO"…Let ∑={a,b} and T be the set of words in ∑* that have no consecutive a’s (i.e. there cannot be 2 or more a’s in a row). (a) Give a recursive definition for the set T. (b) Use your recursive definition to show that the string “abbaba” is in T. (c) Is your recursive definition uniquely determined? Explain why or why not.
- Describe algorithms to enumerate these sets. (You do not need to discuss the mechanics of constructing Turing machines to execute the algorithms.) The set of all pairs (n, m) for which n and m are relatively prime positive integers (“relatively prime” means having no common factor bigger than 1) The set of all strings over {0, 1} that contain a nonnull substring of the form www Please answer as soon as possible. It is really needed.The correct statements are: If L₁ and L2 are not regular languages, then L₁ U L₂ cannot be regular. If L₁ and L₂ are regular languages, then L₁ L₂ = {w: w€ (L₁-L₂) or w€ (L₂-L₁)} is regular. It is possible that the union of a regular language and a nonregular language is regular. Every subset of a regular language is regular.Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. coordinating, we can observe the number of times some white string meets some dark string. We process the number of sets of distinctively shaded strings that cross rather than the number of convergence focuses, so one convergence point might be counted on numerous occasions if various sets of strings meet at a similar point. In case c is a legitimate shading, let f(c) mean the base number of such convergences out of all conceivable matchings. circle above is portrayed by the shading bwbbbwww. In the wake of coordinating with the spools as displayed, there is one convergence between contrastingly shaded strings. It tends to be demonstrated that it is the base conceivable, so f(bwbbbwww)=1. You are given a string s addressing an incomplete shading, with dark, white, and uncolored spools. A shading c is called s-reachable if you can accomplish it by allocating tones to the uncolored…
- Let A and B be sets such that ACB. Consider the following statements: (1) If A is finite, then B is finite. (2) If A is infinite, then B is infinite. (3) If B is finite, then A is finite. (4) If B is infinite, then A is infinite. Which of the following is true? Statements (1) and (2) are true. Statements (1) and (3) are true. Statements (1) and (4) are true. Statements (2) and (3) are true. Statements (2) and (4) are true. Statements (3) and (4) are true. None of the above is correct.Use DrRacket. Define the procedures below. Write a procedure reverse-digits (n) which returns a number with the digits of n in reverse order. For example, (reverse-digits 397164) → 461793. Define a predicate same-digits? (a b) which returns #t if the integers a and b contain the same digits. If a digit occurs n times in a, it must also occur n times in b. For example, (same-digits? 133042 420313) → #t, but (same-digits? 133042 42013) → #f. To solve the problem, one technique would be to add some extra procedures for manipulating digits inside a number. Here are some hints: To find the number of digits in a number, count how many times you need to divide it by 10 until you reach 0. To extract the second digit of 5784: floor( 5784/102 ) mod 10=7. Note that mod in racket is modulo or remainder To assemble the digits 3, 4, and 5 into a number: 3×102+4×101+5×100 = 345 The standard Scheme procedures modulo and floor may prove useful. The solution only needs to consider non-negative…The correct statements are: A set is countable iff it is either finite or countably infinite. The set of natural numbers is countable. The power set of the set of natural numbers is countable. For any Σ Ø, Σ* is countably infinite.
- Set B = { a,b,c,d} and Set C = {b,d,f,g}. Find B U C.Determine big Theta for the following code fragments in the average case. Assume that all variables are of type int. Explain your answers.A lecturer intends to separate his students into 2 groups based in their index numbers those with odd numbers in group A and Even numbers in B.Use if-else staement to implement this.