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- In c++ Please Write the InOrder() function, which receives a vector of integers as a parameter, and returns true if the numbers are sorted (in order from low to high) or false otherwise. The program outputs "In order" if the vector is sorted, or "Not in order" if the vector is not sorted. Ex: If the vector passed to the InOrder() function is [5, 6, 7, 8, 3], then the function returns false and the program outputs: Not in order Ex: If the vector passed to the InOrder() function is [5, 6, #include <iostream>#include <vector>using namespace std; bool InOrder(vector<int> nums) { /* Type your code here */} int main() { vector<int> nums1(5); nums1.at(0) = 5; nums1.at(1) = 6; nums1.at(2) = 7; nums1.at(3) = 8; nums1.at(4) = 3; if (InOrder(nums1)) { cout << "In order" << endl; } else { cout << "Not in order" << endl; } vector<int> nums2(5); nums2.at(0) = 5; nums2.at(1) = 6;…Because floating-point numbers are imprecise, it is common to compute data values of type float that are very close but not exactly equal to the value 0.0. a) In Python, Write a function countNZdata that counts number of elements in a list of type float whose absolute value is less than or equal to a positive tolerance parameter. The function takes the list as its first parameter; the second parameter is the positive float value that is the tolerance. Function should return the number of data values that meet this criterion. For example, for the given list: [2.19, -0.04, 1.66, 0.05, 4.70, -6.53, -0.11, -1.07, 1.94, -2.23] and a tolerance = 0.1, the function should return the value 3. b) Demonstrate that the function works by inputting different example values.] ] has_perfect You are to write a function has "perfect (graph)" that takes in a BIPARTITE graph as its input, and then determintes whether or not the graph has a perfect matching. In other words, it will return the Boolean value True if it has one, and False if it does not. After compiling the above cell, you should be able to compile the following cell and obtain the desired outputs. print (has perfect({"A" : ["B", "C"], "B" : ["A", "D"], "C" : ["A", "D"], "D" : ["B", "C"]}), has perfect ( {"A" : ["B"], "B" : ["A", "D", "E"], "C" : ["E"], "D":["B"], "E": ["B","C","F"], "F":["E"]})) This should return True False Python Python
- 3. What will be printed to the console after this program runs? var numbers = [2, 5, 3, 1, 6] %3D function changeNums (numList, addNum, subtractNum){ for(var i=0; iWrite a function count_evens(nums) that takes a list of ints called nums and returns the number of even ints in the given list. Note: the % "mod" operator computes the remainder, e.g. 5 % 2 is 1.[] [] partite_sets In the cell below, you are to write a function "partite_sets (graph)" that takes in a BIPARTITE graph as its input, and then returns a single list whose two entries are the partite sets of the graph as lists (the order of the sets outputed does not matter). After compiling the above cell, you should be able to compile the following cell and obtain the desired outputs. print (partite_sets({"A" : ["B", "C"], "B" : partite_sets({"A" : ["B", "C"], "B" : ["A"], "C" : ["A"]}), ["A", "D"], "C" : ["A", "D"], "D" : ["B", "C"]})) This should return [["B","C"], ["A"]] [["A","D"], ["B","C"]] (the order in which the entries appear does not matter) Python PythonCreate a list of 20 random grades between 0 and 100. Write the code for a filtering that generates a list of grades that are A or B only (80<= grades <<100). Use filtering and lambda to create the auxiliary function.Write a function that takes a matrix of order 3 and prints the transpose of it. The transpose should be stored in a different matrix.Test the function in main().For example:Matrix =1 2 34 5 67 8 9Transpose =1 4 72 5 83 6 9 write code for it in c++(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.3. Largest: a recursive function that computes the largest value for an integer array of positiveand negative values. For example, for the array below, the function largest should return 22,which is the largest value in the array. You can assume there are no more 20 integers in thearray. Think of how to formulate the recurrence relation in this problem yourself.nums = [9,-8,7,-6,3,2,-1,3,10,9] Use enumerate to iterate through the index and values of the nums list, and output the index where userNum is found. For example, if userNum is 3, your output should be: Number 3 found at index 4 Number 3 found at index 7Exercise B: "Matrix Addition" For this exercise you will design and implement a function that takes two matrix arguments and computes their sum (if and only if a sum can actually be computed, returning an empty list otherwise). Two matrices can only be added together if they have exactly the same dimensions. If the dimensions are acceptable, then the matrix sum will have the same dimensions as either of the operands, and the value of each element in the matrix sum is itself the sum of the corresponding elements in the operand matrices. And although it does makes sense to test rectangularity before attempting addition, you need not perform this step (since you did it above). In order to complete this task, you will need to: ensure you know how matrix addition can be performed² ● Your submission for this exercise:SEE MORE QUESTIONS