In this tutorial, we are given a linked list A of length N and an integer K. We have to reverse alternate pairs of nodes with the size of each pair as K. It is also given that N is divisible by K. First argument is the head pointer of the linked list A and the second argument is an integer K, for exampleInput5 -> 6 -> 2 -> 8 -> 5 -> 2 -> 4 -> 8 -> 9 -> 6 -> null K=2Output6 -> 5 -> 2 -> 8 -> 2 -> 5 -> 4 -> 8 -> ... Read More

To convert a Legendre series to a polynomial, use the laguerre.leg2poly() method in Python Numpy# Convert an array representing the coefficients of a Legendre series, ordered from lowest degree to highest, to an array of the coefficients of the equivalent polynomial (relative to the “standard” basis) ordered from lowest to highest degree.# The method returns a 1-D array containing the coefficients of the equivalent polynomial ordered from lowest order term to highest. # The parameter c, is a 1-D array containing the Legendre series coefficients, ordered from lowest order term to highest.StepsAt first, import the required library −import numpy as ... Read More

A string of 0-9 is given. For this problem, we need to calculate the number of strings that are divisible by 8 and not by 3. This is a 2 step problem, and we need to do the code one step at a time to solve it, for exampleInputstr = "80"Output2Inputstr = "7675636788"Output15Approach to Find the SolutionOnly numbers with their last 3 digits are divisible by 8, and their sum of digits divisible by 3 are divisible by 8.Now store the prefix sum of the string so that the sum of digits of prefix module 3 is either 0, 1, ... Read More

To evaluate a 2D Legendre series on the Cartesian product of x and y, use the polynomial.legendre.leggrid2d() method in Python Numpy. The method returns the values of the two dimensional Chebyshev 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 is x, y. The two dimensional series is evaluated at the points in the Cartesian product of x and y. If x or y is a ... Read More

The Pandas series.eq() method is used to compare every element of a given series with a passed parameter (other series object or a scalar value). It will return True for every element which is equal to the element in the other series object (passed series object).The output of the eq() method is a series with boolean values and it performs an element-wise comparison operation which is nothing but caller series = other series. In the resultant series, the True value indicates the equivalent value in the other series object as well as, the False value indicates an unequal value.Handling of ... Read More

To evaluate a 2D Legendre series on the Cartesian product of x and y, use the polynomial.legendre.leggrid2d() method in Python Numpy. The method returns the values of the two dimensional Chebyshev 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 is x, y. The two dimensional series is evaluated at the points in the Cartesian product of x and y. If x or y is a ... Read More

Hermite_e polynomial and x, y, z sample points, use the hermite.hermevander3d() in Python Numpy. The method returns the pseudo-Vandermonde matrix. The parameter, x, y, z are arrays of point coordinates, all of the same shape. The dtypes will be converted to either float64 or complex128 depending on whether any of the elements are complex. Scalars are converted to 1-D arrays. The parameter, deg is the 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 hermite as HCreate arrays of point coordinates, all of the same shape using ... Read More

We'll look at a problem in which we're given an integer string and must determine how many substrings are divisible by 6 in integer format. It should be noted that input is in the form of a String made of numbers (integers). Still, the divisibility check will be performed considering it as an integer only (not using ASCII value of string input).Inputstr = “648”Explanationsubstring “6”, “48”, and “648” are divisible by 6.Inputstr = “38342”Output4Explanationsubstrings “3834”, “342”, ”834”, and “42” are divisible by 6.Brute-Force ApproachUsers can check every possible substring to see if it's divisible by six. If the substring is ... Read More

To generate a pseudo Vandermonde matrix of the Hermite_e polynomial, use the hermite_e.hermevander2d() in Python Numpy. The method returns the pseudo-Vandermonde matrix. The parameter, x, y are an array of point coordinates, all of the same shape. The dtypes will be converted to either float64 or complex128 depending on whether any of the elements are complex. Scalars are converted to 1-D arrays. The parameter, deg is the list of maximum degrees of the form [x_deg, y_deg].StepsAt first, import the required library −import numpy as np from numpy.polynomial import hermite as HCreate arrays of point coordinates, all of the same shape ... Read More

To evaluate a 2D Legendre series at points x, y, use the polynomial.legendre.legval2d() method in Python Numpy. The method returns the values of the two dimensional Legendre series at points formed from pairs of corresponding values from x and y.The 1st parameter is x, y. The two dimensional series is evaluated at the points (x, y), where x and y must have the same shape. If x or y is a list or tuple, it is first converted to an ndarray, otherwise it is left unchanged and if it isn’t an ndarray it is treated as a scalar.The 2nd parameter ... Read More