Programming Articles - Page 813 of 3363

In this problem, we are given an integer value N. Our task is to find Sum of Series n^2 - (n-1)^2 upto n terms.Let's take an example to understand the problem, Input : N = 3 Output : 6Explanation −[12 - (0)2] + [22 - (1)2] + [32 - (2)2] = 1 - 0 + 4 - 1 + 9 - 2 = 9Solution ApproachA simple approach to solve the problem is finding the general term of the series and then finding the sum till n terms. And calculating the sum using formula will reduce the time to O(1). Also, ... Read More

In this problem, we are given an integer value N. Our task is to find Sum of Series 1^2 - 2^2 + 3^2 - 4^2 ... upto n terms.Let's take an example to understand the problem, Input : N = 3 Output : 6Explanation −12 - 22 + 32 = 1 - 4 + 9 = 6Solution ApproachA simple approach to solve the problem is using loops. We will loop from 1 to n with iterator i.If i is odd, add (i2) to the sum.If i is even, subtract (i2) to the sum. At last, return the sum of series ... Read More

In this problem, we are given two arrays, positive and distinct. Our task is to find the sum of pairs from two arrays with maximum sum.We will find the pair with the maximum sum with one element from each array.Let's take an example to understand the problem, Input : arr1[] = {3, 7, 5}, arr2[] = {8, 2, 4} Output : 15Explanation −Pairs is (7, 8) = 7 + 8 = 15 Solution ApproachA simple approach to solve the problem is using loops. We will use a nested loop and find the sum of all pairs and return the pair ... Read More

In this problem, we are given a linked list. Our task is to find the sum of even and odd nodes in a linked list.Let's take an example to understand the problem, Input : linked list : 3 -> 2 -> 5 -> 7 -> 1 -> 9 Output : evenSum = 2 ; oddSum = 25Explanation −evenSum = 2 oddSum = 3 + 5 + 7 + 1 + 9 = 25Solution ApproachA simple approach to solve the problem is traversing the linked list and checking for even or odd values and adding them to their respective sum value.AlgorithmStep ... Read More

In this problem, we are given a natural number N. Our task is to find the sum of divisors of all the divisors of a natural number.Let's take an example to understand the problem, Input : N = 12 Output : 55Explanation −The divisors of 12 are 1, 2, 3, 4, 6, 12 Sum of divisors = (1) + (1 + 2) + (1 + 3) + (1 + 2 + 4) + (1 + 2 + 3 + 6) + (1 + 2 + 3 + 4 + 6 + 12) = 1 + 3 + 4 + 7 ... Read More

To find the indices of the maximum value of the elements in an input tensor, we can apply the torch.argmax() function. It returns the indices only, not the element value. If the input tensor has multiple maximal values, then the function will return the index of the first maximal element. We can apply the torch.argmax() function to compute the indices of the maximum values of a tensor across a dimension..Syntaxtorch.argmax(input)StepsWe could use the following steps to find the indices of the maximum values of all elements in the input tensor −Import the required library. In all the following examples, the ... Read More

To compute elementwise logical AND of given input tensors we apply torch.logical_and(). It takes two input tensors and computes the logical AND element wise. The zeros in the tensors are treated as False and non-zeros as True. The input tensors may be of any dimension.The torch.logical_or() function computes elementwise logical OR of the given input tensors. It also takes two input tensors and outputs a tensor with True or False. As same in logical AND zeros are treated as False and non-zeros are treated as True.The input tensors may be of any dimension.To compute the elementwise NOT of a given ... Read More

To estimate the gradient of a function, we can apply the torch.gradient() function. This function estimates the gradient using the second-order accurate central differences method. We can estimate the gradient in one or more dimensions. The function of which the gradient is to be estimated may be defined on a real or complex domain. In the process of estimating the gradients, the gradient is estimated by estimating each partial derivative of the function independently.Syntaxtorch.gradient(values)where the parameter values is the tensor that represents the values of the function.StepsWe could use the following steps to estimate the gradient of a function −Import ... Read More

The torch.asinh() method computes the inverse hyperbolic sine of each element of the input tensor. It supports both real and complex-valued inputs. It supports any dimension of the input tensor.Syntaxtorch.asinh(input)where input is the input tensor.OutputIt returns a tensor inverse hyperbolic sine of each element.StepsTo compute the inverse hyperbolic sine of each element in the input tensor, you could follow the steps given below −Import the required library. In all the following examples, the required Python library is torch. Make sure you have already installed it.import torchCreate a torch tensor and print it.input = torch.randn(3, 4) print("Input Tensor:", input)Compute the inverse ... Read More

The torch.rsqrt() method computes the reciprocal of square-root of each element of the input tensor. It supports both real and complex-valued inputs. If an element in the input tensor is zero, then the corresponding element in the output tensor is NaN.Syntaxtorch.rsqrt(input)Parametersinput – Input tensorOutputIt returns a tensor with reciprocal of square-root.StepsImport the required library. In all the following examples, the required Python library is torch. Make sure you have already installed it.import torchCreate a torch tensor and print it.input = torch.randn(3, 4) print("Input Tensor:", input)Compute the reciprocal of the square-root of each element in the input tensor using torch.rsqrt(input). Here ... Read More