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Suppose we have a grid with H rows and W columns. Where each square is tidy or untidy. We can place lamps on zero or more more tidy squares in this grid. A lamp can lighten the cells in each of the four directions - up, down, left, and right - to the point just before an edge of the grid or an untidy square is reached for the first time (the untidy cell will not be lighted). The lamp will also lighten the cell on which it is placed. In the grid if G[i, j] is '.' that cell ... 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 integrate a Hermite series, use the hermite.hermint() method in Python. The 1st parameter, c is an array of Hermite 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 integral at lbnd is the first value in the list, the value of the second integral at lbnd is the second value, etc. If k == [] (the default), all ... 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 number m. We have to check whether we can rearrange the array in such a way that$$\mathrm{\sum_{i=1}^{n} \sum_{j=1}^{n}\frac{A[j]}{j} = m}$$There will be no rounding in A[j]/j operation.So, if the input is like A = [2, 5, 1]; m = 8, then the output will be True, because for the arrangement of [1, 2, 5], (1/1 + 2/2 + 5/3) + (2/2 + 5/3) + (5/3) = 8stepsTo solve this, we will follow these steps −sum := 0 n := size of A for initialize i := 0, when i ... Read More
To integrate a Hermite series, use the hermite.hermint() method in Python. The 1st parameter, c is an array of Hermite 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 integral at lbnd is the first value in the list, the value of the second integral at lbnd is the second value, etc. If k == [] (the default), ... Read More
To integrate a Hermite series, use the hermite.hermint() method in Python. The 1st parameter, c is an array of Hermite 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 integral at lbnd is the first value in the list, the value of the second integral at lbnd is the second value, etc. If k == [] (the default), all ... Read More
Suppose we have a number A. We have to find nearest larger or equal interesting number for A. A number is said to be interesting number if its sum of digits is divisible by 4. So, if the input is like A = 432, then the output will be 435, because 4 + 3 + 5 = 12 which is divisible by 4.StepsTo solve this, we will follow these steps −while (A / 1000 + A mod 1000 / 100 + A mod 100 / 10 + A mod 10) mod 4 is not equal to 0, do: (increase A ... Read More
To evaluate a 3D Hermite series at points (x, y, z), use the hermite.hermval3d() 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.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, y, or z 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 ... Read More
To evaluate a 2D Hermite series at points (x, y), use the hermite.hermval2d() method in Python Numpy. The method returns the values of the two dimensional polynomial at points formed with 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