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Suppose, there is a demand for red and blue cars for sale. An automobile company decides to sell p red cars and q blue cars of different prices. Currently, the company has 'a' number of red cars, 'b' number of blue cars, and 'c' numbers of colorless cars (the cars are yet to be painted) in their stock. The values of the different cars are given in arrays A, B, and C. So, the company has to sell p + q number of cars in a day and they have to make maximum profit from them. The colorless cars can ... Read More
To Integrate a Chebyshev series, use the chebyshev.chebint() method in Python. Returns the Chebyshev series coefficients c integrated m times from lbnd along axis. At each iteration the resulting series is multiplied by scl and an integration constant, k, is added. The 1st parameter, c is an array of Chebyshev series coefficients. If c is multidimensional the different axis correspond to different variables with the degree in each axis given by the corresponding index.The 2nd parameter, m is an order of integration, must be positive. (Default: 1). The 3rd parameter, k is an Integration constant(s). The value of the first ... Read More
To evaluate a Laguerre series at points x, use the polynomial.laguerre.lagval() method in Python Numpy. The 1st parameter is x. If x is a list or tuple, it is converted to an ndarray, otherwise it is left unchanged and treated as a scalar. In either case, x or its elements must support addition and multiplication with themselves and with the elements of c.The 2nd parameter, C, an array of coefficients ordered so that the coefficients for terms of degree n are contained in c[n]. If c is multidimensional the remaining indices enumerate multiple polynomials. In the two dimensional case the ... Read More
To evaluate a Laguerre series at points x, use the polynomial.laguerre.lagval() method in Python Numpy. The 1st parameter is x. If x is a list or tuple, it is converted to an ndarray, otherwise it is left unchanged and treated as a scalar. In either case, x or its elements must support addition and multiplication with themselves and with the elements of c.The 2nd parameter, C, an array of coefficients ordered so that the coefficients for terms of degree n are contained in c[n]. If c is multidimensional the remaining indices enumerate multiple polynomials. In the two dimensional case the ... Read More
To evaluate a Laguerre series at points x, use the polynomial.laguerre.lagval() method in Python Numpy. The 1st parameter is x. If x is a list or tuple, it is converted to an ndarray, otherwise it is left unchanged and treated as a scalar. In either case, x or its elements must support addition and multiplication with themselves and with the elements of c.The 2nd parameter, C, an array of coefficients ordered so that the coefficients for terms of degree n are contained in c[n]. If c is multidimensional the remaining indices enumerate multiple polynomials. In the two dimensional case the ... Read More
Suppose, there are two n * n pixel square images first and second. The pixels can either be black or white. The images are given in a matrix representation where if a pixel is black it is represented as 'x' and if it is white, it is represented as '.'. We have to check the second image matches with the first image after 90° rotations and translations. If it does we return true, otherwise, we return false.So, if the input is like n = 4, first = {"..x.", "x.x.", "x.xx", "xx.."}, second = {"..xx", "x.xx", ".x.x", "..x."}, then the output ... Read More
To generate a pseudo Vandermonde matrix of the Laguerre polynomial with x, y, z sample points, use the laguerre.lagvander3d() in Python Numpy. The parameter, x, y, z returns an Array of points. The dtype is converted to float64 or complex128 depending on whether any of the elements are complex. If x is scalar it is converted to a 1-D array. The parameter, deg is a list of maximum degrees of the form [x_deg, y_deg, z_deg].StepsAt first, import the required library −import numpy as np from numpy.polynomial import laguerre as LCreate arrays of point coordinates, all of the same shape using ... Read More
Suppose, there is a weighted, undirected graph that has n vertices and m edges. The score of the graph is defined as the addition of all the edges weights in the graph. The edge weights can be negative, and if they are removed the score of the graph increases. What we have to do, we have to make the score of the graph minimum by removing the edges from the graph while keeping the graph connected. We have to find out the maximum amount of score that can be decreased.The graph is given in an array 'edges', where each element ... Read More
Suppose, there is a grid of dimensions h * w. There is a robot in cell position (0, 0) and it has to go to the position (h - 1, w - 1). There are two types of cells in a grid, blocked and unblocked. The robot can pass through the unblocked cells but cannot pass through the blocked cells. The robot can go in four directions; it can go left, right, up, and down. But the robot may go in any direction from a cell to another (ignoring the previous cell it was in), so we have to make ... Read More
Suppose, we are given an empty sequence and n queries that we have to process. The queries are given in the array queries and they are in the format {query, data}. The queries can be of the three following types−query = 1: Add the supplied data to the end of the sequence.query = 2: Print the element at the beginning of the sequence. After that delete the element.query = 3: Sort the sequence in ascending order.Note that, query types 2 and 3 always have data = 0.So, if the input is like n = 9, queries = {{1, 5}, {1, ... Read More