Evaluating the values of the binomial coefficients, you get the following pattern, 1 1 1 1 4 1 3 2 6 1 3 1 4 1 1
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Language: C
Pascal’s triangle is a triangular array, useful for calculating the binomial coefficients, n k , that are used in expanding binomials raised to powers, combinatorics and probability theory. 0 0 1 0 1 1 2 0 2 1 2 2 3 0 3 1 3 2 3 3 4 0 4 1 4 2 4 3 4 4 Evaluating the values of the binomial coefficients, you get the following pattern, 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 The number of the entries in each row is increased by one, as we move down. Each number in the triangle, is constructed by adding the number above it and to the left, with the number above it and to the right. The blank entries as treated as 0. Using the recursion, implement the function that computes the Pascal’s triangle. Pr
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- Problem2: A square matrix can be represented by a two-dimensionalarray with N rows and N columns. You may assume a maximum size of 50 rows and 50 columns. 1. Write an algorithm MakeEmpty(n), which sets the first n rows and n columns to zero. 2. Write an algorithm Add(M1, M2, M3), which adds two matrices M1 and M2 together to produce matrix M3. 3. Write an algorithm Subtract(M1, M2, M3), which subtracts matrix M2 from matrix M1 to produce matrix M3. 4. Write an algorithm Copy(M1, M2), which copies matrix M1 into matrix M2.Use a single-subscripted array to solve the following problem. Read in 20 numbers, each of which is between 10 and 100, inclusive. As each number is read, print it only if it’s not a duplicate of a number already read. Provide for the “worst case” in which all 20 numbers are different. Use the smallest possible array to solve this problem. IN C PROGRAMMING AND COMMENT EVERY STEPProblem 1: Given an array A[0 ... n-1], where each element of the array represents a vote in the election. Assume that each vote is given as integers representing the ID of the chosen candidate. Write the code determining who wins the election.
- To generate linearly spaced vector of 12 linearly spaced numbers from 6 to 48 * linspace(12,6,48) linspace(48,12,6) O linspace(6,12,48) linspace(6,48,12)Question 2 You are doing the Tour de France and you are given a map with all the n places where you can refill your water bottles. Your bottles fit 2 liters of water with which are enough for m kilometres. Your goal is to stop as few times as possible to refill your bottles, since you care about a good time for the Tour de France. Design an efficient algorithm using dynamic programming, prove its correctness and analysis its run time. Give the one-dimensional array A. And the time complexity of filling your array16. Given an n-element array with n > 100, is it possible to find an algorithm that can find an element that is neither the maximum nor the minimum with fewer than 10 comparisons? (a) yes (b) no
- Q: Consider an array consisting of the following sequence: 1, 4, 9, 16, 25, 49, …, n Suppose a number in the sequence is missing. (a). Write the mathematical process to find the missing number, i.e. some equation. (b). What is the time complexity of finding the missing number in the sequence?The formula C=numpy.add(A, B) adds the two matrices A and B and stores the result in C.• To subtract matrix B from matrix A, enter C=numpy.subtract(A, B). The result is stored in C.• C=numpy.divide(A, B): Split matrix A into two equal parts and store the result in C.• C stands for numpy.multiply(A, B): Multiply matrices A and B, then store the result in matrices C.• C=numpy.sum(A): Calculate the sum of each element in the matrix A, then store the result in c R.• C=numpy.sum(A, axis = 0): Create a vector C by adding the columns of the matrix A.• C=numpy.sum(A, axis = 1): Summarize matrix A row-by-row and store the result in the vector C. Create Python code that demonstrates the use of these techniques in a sample matrix.C Program Find median number/s from given array. Ignore duplicates. Example 1: Input: 8 3 4 2 9 Output: 4 Explanation: When sorted, input becomes 2 3 4 8 9. The median number from the five numbers is 4. Example 2: Input: 9 2 3 5 5 4 7 1 8 Output: 4 and 5 Explanation: When sorted, input becomes 1 2 3 4 5 7 8 9. The median numbers from the eight numbers is 4 and 5.
- Score Z50 Question 1 Max score 5000 0 Secret marks 500 Alice is a topper in her batch She knows the maximum duration Dof the exam (in minutes) and secret marks Mwhich is required to top the exam. An exam contains N problems, Marks for each problem is represented by Marks array where Marks, denotes the marks allotted to the problem Time (in minutes) taken to solve each problem is represented by Time artay where Time; denotes the time she required to solve problem Task Determine whether she wil be able to top this time or not Exemple Assumptions •M-3 * Mirks *Time(t Approach66. Code Write a Java program for the given problem using Array. UTAS-IBRI wants to calculate the Final mark of Foundation Students based on the course mark obtained in IT for Foundation course. The program should read the number of Students. The program will accept the Student ID. Student name and Course mark of all the students. If Course mark is greater than 79 and less than or equal to 100, then Extra mark given is 10% of Course mark, else if Course mark is greater than 49 and less than 80, then Extra mark given is 5 % of Course mark, else if Course mark is less than 50, then Extra mark given is 2 % of Course mark. Final mark calculated as Course mark plus Extra mark. Display Student ID, Student name, Course mark, Extra mark and Final mark of all students.?MAKE A PYTHON CODE WITH 6 matrix multiplication properties. You may create your own matrices in which their shapes should not be lower than (3,3).