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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
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
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
The series.eq() method in the pandas constructor is used to compare elements of the given series with others (maybe another series or a scalar value). As a result, It will return a new series object with boolean values.The element-wise equal operation is done by using this eq() method. The boolean value True represents the equivalent value in the second series object. And remaining unequal values are represented by the boolean value False.The parameters of the eq() method are other, fill_value, and level.Example 1In the following example, we will see how the eq() method compares elements of a series object with ... 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
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
In this tutorial, we have to write an algorithm to find a way to pass an assignment without being caught by the invigilator. Each student has to submit their assignment to the invigilator. Student A's assignment is with Student B, so Student B has to return/pass the assignment to Student A without the invigilator noticing them.All the students are sitting in a queue. We need to find a way to pass the assignment back to Student A without being caught. Various requirements under which they can pass assignments are as follow −Student A (At index i) can pass assignments to ... Read More
To evaluate a 3D Legendre series at points x, y, z use the polynomial.legendre.legval3d() method in Python Numpy. The method returns the values of the multidimensional polynomial on points formed with triples of corresponding values from x, y, and z.If c has fewer than 3 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. The 1st parameter is x, y, z. The three dimensional series is evaluated at the points (x, y, z), where x, y, and z must have the same shape. If any of x, ... Read More