Select the partitions of the set {2,*,c,+}: O {{2,*},{},{c},{+}} □ {{2,*},{c,+}} O {{2,*,c,+},{c}} □ {{2,*},{+}} □ {{2,*},{},{c},{+}} □ {{2},{*},{},{c},{+}} □ {{c},{+},{2},{*}} □ {{2,*,c,+},{}}
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- Define a function called bell which takes a non-negative integer n and returns the number of partitions of a set of n elements. For example: Test Result print(bell(0)) 1 print(bell(1)) 1 print(bell(2)) 2A = {1,2,3} B = {1,2,3} C = {5,6,7} D = {0,1,2,3,4,5} Is A = C?Code this in C program A set of integers 0..MAX may be implemented using an array of boolean values. This particular implementation is called a bit-vector implementation of a Set. Since C doesn’t have the Boolean data type, then substitute TRUE with 1 and FALSE with 0, or define 1 and 0 as TRUE and FALSE, respectively.For example, if the integer 3 is an element of the set, then the array element indexed by 3 is TRUE. On the other hand, if 3 is not an element, then the array element indexed by 3 is FALSE. For example: if s = {3,4,6,8}, the array looks like this: 0 1 2 3 4 5 6 7 8 9 FALSE FALSE FALSE TRUE TRUE FALSE TRUE FALSE TRUE FALSE Implement a programmer-defined data type called BitSet to represent a set as follows:typedef int BitSet[MAX];Implement the following functions:void initialize(BitSet s); - set all array elements to FALSEvoid add(int elem,BitSet s);- set the item indexed by elem to TRUEvoid display(BitSet s);- display the set on the screen using set notation,…
- Let L = {w = [a, b}*: every a in w is immediately followed by at least one b}.∑ = {C,A,G,T}, L = { w : w = CAjGnTmC, m = j + n }. For example, CAGTTC ∈ L; CTAGTC ∉ L because the symbols are not in the order specified by the characteristic function; CAGTT ∉ L because it does not end with C; and CAGGTTC ∉ L because the number of T's do not equal the number of A's plus the number of G's. Prove that L ∉ RLs using the RL pumping theorem.int sum, k, i, j; int x[4] [4]={5,6,7,8},{1,2,3,4},{9,8,7,3},{2,1,7,1}; sum=0; for (i=1; i x[i-1][j] ) sum++; Give the value of sum after the statements are executed.
- 4. True or FalseFor any two elements define [a,b] = { {a}, {a,b} } and check the true statementsa ∈ [a,b] T [ ] F [ ]{a} ∈ [a,b] T [ ] F [ ]{a.b} ∈ [a,b] T [ ] F [ ]{b} ∈ [a,b] T [ ] F [ ][a,b] = [b,a] T [ ] F [ ][a,a] = { {a} } T [ ] F [ ]S={0,1,2,3} define a "+" and "-" process to be set of S is create a areaCreate a set-based implementation of an abstract data type with the following operations. insert(S, x) Insert x into the set S. delete(S, x) Delete x fromthe set S. member(S, x) Return true if x ∈ S, false otherwise. position(S, x) Return the number of elements of S less than x. concatenate(S, T) Set S to the union of S and T, assuming every element in S is smaller than every element of T. All operations on sets with n elements must finish in O(log n) time.
- Write a python program to implement the different set operation Union, Intersection, Difference and Symmetric for the set. E= {A, B, Z, J, F} N= {B, H, I, F, A}When working with enumeration types, such as the arithmetic operators and the stream operators, is it possible to rapidly access operators that are often used, such as the arithmetic operators and the stream operators? Is it conceivable, for instance, to overload these operators in order to arrive at a result that is satisfactory? What are the arguments for and against doing so?IN JAVAScript - Create a function that takes an object and returns the keys and values as separate arrays. Return the keys sorted alphabetically, and their corresponding values in the same order. Examples keysAndValues({ a: 1, b: 2, c: 3 }) → [["a", "b", "c"], [1, 2, 3]] keysAndValues({ a: "Apple", b: "Microsoft", c: "Google" }) - → [["a", "b", "c"], ["Apple", "Microsoft", "Google"]] keysAndValues({ key1: true, key2: false, key3: undefined }) [["key1", "key2", "key3"], [true, false, undefined]]