Programming Articles - Page 1763 of 3363

Suppose we have a first term (A) and common difference (d) of an AP series, and we also have a prime number P, we have to find the position of the first element in the given AP which is the a multiple of the given prime number P.So, if the input is like A = 3, D = 4, P = 5, then the output will be 3 as fourth term of the given AP is a multiple of the prime number 5. So, first term = 3, second term = 3+4 = 7, third term = 3+2*4 = 11 ... Read More

Suppose we have a number l and a monotonic increasing sequence f(m), where f(m) = am + bm [log2(m)] + cm^3 and (a = 1, 2, 3, …), (b = 1, 2, 3, …), (c = 0, 1, 2, 3, …)Here [log2(m)] is the log to the base 2 and round the value down. so, if m = 1, the value is 0.if m = 2-3, the value is 1.if m = 4-7, the value is 2.if m = 8-15, the value is 3. and so, onwe have to find the value m such that f(m) = l, if l ... Read More

Suppose we have an array of n different numbers; n can be 32, 000 at max. The array may have duplicate entries and we do not know what is the value of n. Now if we have only 4-Kilobytes of memory, how would display all duplicates in the array?So, if the input is like [2, 6, 2, 11, 13, 11], then the output will be [2, 11] as 2 and 11 appear more than once in given array.To solve this, we will follow these steps −Create one byte-array type data structure bit_arr, it has following methodsDefine constructor This will take ... Read More

Suppose we have a square matrix of order m x m; we have to find all the distinct elements common to all rows of the given matrix.So, if the input is like13215417153243615215412152643221942215then the output will be [2, 4, 15]To solve this, we will follow these steps −Define a function sortRows() . This will take matrixn := count of rowsfor i in range 0 to n, dosort the list matrix[i]In the main method, do the following −n := count of rowssortRows(matrix)current_idx := a list of size n, fill with 0for i in range 0 to n, docurrent_idx[i] := 0f := 0while ... Read More

Suppose we have two arrays A and B of n integers, now consider an array C, where the i-th number will be d*A[i] + B[i] and here d is any arbitrary real number. We have to find d such that array C has maximum number of zeros. Also return the number of zeros.So, if the input is like A = [15, 40, 45] and B = [4, 5, 6], then the output will be d = -0.266666, number of zeros will be 1To solve this, we will follow these steps −n := size of Amy_map := a new mapcount := ... Read More

Suppose we have two different series A1 and A2 of size b and a respectively. We have to find the mean and variance of combined series.So, if the input is like A1 = [24, 46, 35, 79, 13, 77, 35] and A2 = [66, 68, 35, 24, 46], then the output will be Mean = [44.1429, 47.8], sd = [548.694, 294.56], combined mean = 45.6667, d1_square = 2.322, d2_square = 4.5511, combined_var = 446.056To solve this, we will follow these steps −Define a function mean() . This will take arrreturn average of arr elementsDefine a function sd() . This will ... Read More

Often, we simulate random values from different distributions in R. The base R provides some inbuilt functions for the same and if we want to repeat the simulation a fixed number of times then we write these inbuilt functions again and again. But we can do multiple simulations using a single line of code with the help of replicate function, that means if we want to simulate ten uniform random variables ten times then it can be done by using replicate function.Examplesreplicate(10, runif(5, 2, 5)) [, 1] [, 2] [, 3] [, 4] [, 5] [, 6] [, 7] [, ... Read More

The cumulative sum is used to determine the total sum of a variable or group and helps us to understand the changes in the values of that variable or group over time. While creating the cumulative, we must be sure that the total sum and the cumulative sum of the last value (depending on the direction of sum) are same. We can use mutate function of dplyr package to find the cumulative and create a column for it.ExampleConsider the below data frame −x1

When we create a plot using plot function, the axes labels are automatically created based on the values of the variables that is being plotted. It is possible to set a limit to the labels for both the axes, X-axis and Y-axis and we can do this by using xlim and ylim options. For example, if we have the variable limits from 0 to 50 for variable that is going to be plotted on X-axis then it can be done as xlim = c(0,50).Exampleset.seed(99) x

A rank variable is created to convert a numerical variable into ordinal variable. This is useful for non-parametric analysis because if the distribution of the numerical variable is not normal or there are assumptions of parametric analysis that cannot be followed by the numerical variable then the raw variable values are not analyzed directly. To create a rank variable using mutate function, we can use dense_rank argument.ExampleConsider the below data frame −set.seed(7) x1