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A set of integers 0..MAX may be implemented using an array of boolean values. This
particular implementation is called a bit-
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 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:
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 FALSE
void add(int elem,BitSet s);
- set the item indexed by elem to TRUE
void display(BitSet s);
- display the set on the screen using set notation, e.g. {3,4,5,6}
- this means that you will print the index value if the content of that cell is TRUE
void getUnion(BitSet result,BitSet s1,BitSet s2);
- store in the array result the set resulting from the union of s1 and s2
- x is an element of s1 union s2 if x is an element of s1 or x is an element of s2
void intersection(BitSet result,BitSet s1,BitSet s2);
- store in the array result the set resulting from the intersection of s1 and s2
- x is an element of s1 intersection s2 if x is an element of s1 and x is an element of s2
void difference(BitSet result,BitSet s1,BitSet s2);
- store in the array result the set resulting from the difference of s1 and s2
- x is an element of s1 - s2 if x is an element of s1 and x is not an element of s2
int isEmpty(BitSet s);
- the set is empty of all array elements are false
int contains(BitSet s,int elem);
- elem is an element of s if the array value indexed by elem is TRUE
int disjoint(BitSet s1,BitSet s2);
- two sets are disjoint if the intersection is empty
int equal(BitSet s1,BitSet s2);
- two sets are equal if they have exactly the same elements
int cardinality(BitSet s);
- the cardinality of the set is the number of TRUE elements
int subset(BitSet s1,BitSet s2);
- s1 is a subset of s2 if all elements of s1 are in s2
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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
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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 FALSE
void add(int elem, BitSet s);
set the item indexed by elem to TRUE
void display(BitSet s);
display the set on the screen using set notation, e.g. {3,4,5,6)
- this means that you will print the index value if the content of that cell is TRUE
void getUnion (BitSet result, BitSet s1, BitSet s2);
store in the array result the set resulting from the union of s1 and s2
- x is an element of s1 union s2 if x is an element of s1 or x is an element of s2
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void intersection (BitSet result, BitSet s1, BitSet s2);
store in the array result the set resulting from the intersection of s1 and s2
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- An array is special if every even index contains an even number and every odd index contains an odd number. Create a function that returns true if an array is special, and false otherwise. Examples isSpecialArray([2, 7, 4, 9, 6, 1, 6, 3]) → true // Even indices: [2, 4, 6, 6]; Odd indices: [7, 9, 1, 3] isSpecialArray([2, 7, 9, 1, 6, 1, 6, 3]) → false // Index 2 has an odd number 9. isSpecialArray ([2, 7, 8, 8, 6, 1, 6, 3]) → false // Index 3 has an even number 8.arrow_forwardWrite a program in c that create a 5-by-6 array. All elements in the array are random integer numbers between 1 and 100. Then, calculate the mean values of each column, and also find the minimums and maximums of each column. Print out the array, mean values, minimums,arrow_forwardGiven two arrays A and B of equal size N, the task is to find a vector containing only those elements which belong to exactly one array - either A or B - but not both. That is, if some element x appears in both A and B it should not be included in the output vector. Complete the implementation of "getVector(vector<ll>A, vector<ll>B, int N)" function. Example: Input: 1 3 5 7 1 3 2 4 6 7 8 Output: 3 5 1 3 2 4 6 8 The driver codes are attached in the images below. DO NOT CHANGE THE PROVIDED DRIVER CODES AT ALL, LEAVE THEM EXACTLY THE SAME. ONLY ADD CODE TO THE "getVector(vector<ll>A, vector<ll>B, int N)" FUNCTIONarrow_forward
- Write a function that accepts a number, N, and a vector of numbers, V. The function will return two vectors which will make up any pairs of numbers in the vector that add together to be N. Do this with nested loops so the the inner loop will search the vector for the number N-V(n) == V(m). n and m are indices in the vector of numbers. Example A = [1,2,3,4,5,6, 7] Google(5, A) Return [1,2,3,4] and [4,3,2,1] being the pairs that sum to 5. Notice that each pair appears twice. Try to write code that does not do this.arrow_forwardWrite a JAVA program to add two matrix using pointers. JAVA program to input two matrix from user and find sum of both matrices using dynamic array.Example InputInput matrix1: 123456789Input matrix2: 987654321 OutputSum of both matrices:10 10 1010 10 1010 10 10arrow_forwardWrite a function to find the maximum sum of a subarray within a given array of integers. The subarray should be contiguous, meaning the elements are adjacent to each other in the array. For example, given the array [-2, 1, -3, 4, -1, 2, 1, -5, 4], the maximum sum of a subarray is 6, which corresponds to the subarray [4, -1, 2, 1]. Write a function named `maxSubarraySum` that takes an array of integers as input and returns the maximum sum of a subarray. Note: If all the elements in the array are negative, the function should return O. Example: Input: [-2, 1, -3, 4, -1, 2, 1, -5, 4] Output: 6 Input: [-1, -2, -3, -4] Output: 0 Write the 'maxSubarraySum` function that solves this problem efficiently.arrow_forward
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