To evaluate a 3-D Laguerre series on the Cartesian product of x, y and z, use the polynomial.laguerre.laggrid3d() method in Python. The method returns the values of the three dimensional Laguerre series at points in the Cartesian product of x, y and z.If c has fewer than three dimensions, ones are implicitly appended to its shape to make it 3-D. The shape of the result will be c.shape[3:] + x.shape + y.shape + z.shape. The 1st parameter, x, y, z are the three dimensional series is evaluated at the points in the Cartesian product of x, y, and z. If ... Read More

Suppose we have an array A with N elements. Have another number T. Consider Amal is trying to participate in a programming contest. It lasts for T minutes and present N problems. He has A[i] time to solve ith problem. He will choose zero or more problems to solve from the N problems, so that it takes no longer T minutes in total to solve them. We have to find the longest possible time it will take to solve his choice of problems.So, if the input is like T = 17; A = [2, 3, 5, 7, 11], then the ... Read More

To evaluate a 2-D Laguerre series on the Cartesian product of x and y, use the polynomial.laguerre.laggrid2d() method in Python. The method returns the values of the two dimensional Laguerre series at points in the Cartesian product of x and y.If c has fewer than two dimensions, ones are implicitly appended to its shape to make it 2-D. The shape of the result will be c.shape[2:] + x.shape + y.shape. The 1st parameter, x, y is the two dimensional series is evaluated at the points in the Cartesian product of x and y. If x or y is a list ... Read More

Suppose we have an array A with n elements, and another value c is there. There is a crazy word processor present in our system where we can type characters but if we do not type for consecutive c seconds, all of the written letters will be removed. A[i] represents the time when we have typed the ith character. We have to find the final number of characters that will remain on the screen after typing all n characters.So, if the input is like A = [1, 3, 8, 14, 19, 20]; c = 5, then the output will be ... 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

To raise a Laguerre series to a power, use the polynomial.laguerre.lagpow() method in Python Numpy. The method returns the Laguerre series c raised to the power pow. The argument c is a sequence of coefficients ordered from low to high. i.e., [1, 2, 3] is the series P_0 + 2*P_1 + 3*P_2.Returns the Laguerre series c raised to the power pow. The argument c is a sequence of coefficients ordered from low to high. i.e., [1, 2, 3] is the series P_0 + 2*P_1 + 3*P_2. The parameter, c is a 1-D array of Laguerre series coefficients ordered from low ... Read More

Suppose we have two numbers r, c and a grid of size n x m. Some cells are in black and remaining are white. In one operation, we can select some black cells and can do exactly one of these two −Color all cells in its row black, orcolor all cells in its column black.We have to find the minimum number of operations needed to make the cells in row r and column c black. If impossible, return -1.So, if the input is likeWBWWWBBBWBWWBBBr = 0 and c = 3then the output will be 1, because we can change the ... Read More

To divide one Laguerre series by another, use the polynomial.laguerre.lagdiv() method in Python Numpy. The method returns a [quo, rem] array Of Laguerre series coefficients representing the quotient and remainder. Returns the quotient-with-remainder of two Laguerre series c1 / c2. The arguments are sequences of coefficients from lowest order “term” to highest, e.g., [1, 2, 3] represents the series P_0 + 2*P_1 + 3*P_2. The parameters c1 and c2 are 1-D arrays of Laguerre series coefficients ordered from low to high.StepsAt first, import the required library −import numpy as np from numpy.polynomial import laguerre as LCreate 1-D arrays of Laguerre ... Read More