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In this tutorial, we will be discussing a program to find maximum product of 4 adjacent elements in matrix.For this we will be provided with a square matrix. Our task is to find the maximum product of four adjacent elements which can be top, down, right, left, or diagonal.Example#include using namespace std; const int n = 5; //finding maximum product int FindMaxProduct(int arr[][n], int n) { int max = 0, result; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { ... Read More
In this tutorial, we will be discussing a program to find maximum product of a triplet (subsequence of size 3) in array.For this we will be provided with an array of integers. Our task is to find the triplet of elements in that array with the maximum productExample#include using namespace std; //finding the maximum product int maxProduct(int arr[], int n){ if (n < 3) return -1; int max_product = INT_MIN; for (int i = 0; i < n - 2; i++) for (int j = i + 1; j < ... Read More
The default color of the bars created by using ggplot2 package is grey but we can change that color to any depending on our interest. This change is highly required in professions such as academic writing and analytics because everyone wants to look at attractive images. They are not meant to be useful if you just want to learn the concept but when it comes to practical, you need to do it as attractive images gets more attention, thus, they become memorable. To change the color of the bars in ggplot2, we can use fill argument of geom_bar function.ExampleConsider the ... Read More
In this problem, we are given an integer n. Our task is to create a program to find the sum of the series 1 + (1+3) + (1+3+5) + (1+3+5+7) + + (1+3+5+7+....+(2n-1)).From this series, we can observe that ith term of the series is the sum of first i odd numbers.Let’s take an example to understand the problem, Inputn = 3Output 14Explanation −(1) + (1+3) + (1+3+5) = 14A simple solution to this problem is using a nested loop and then add all odd numbers to a sum variable. Then return the sum.ExampleProgram to illustrate the working of our solution, ... Read More
Creating a numeric vector is the first step towards learning R programming and there are many ways to do that but if we want to generate a sequence of number then it is a bit different thing, not totally different. We can create a vector with a sequence of numbers by using − if the sequence of numbers needs to have only the difference of 1, otherwise seq function can be used.Example> x1 x1Output[1] 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 [26] ... Read More
For a one point of time, we might have multiple time series data, this could be weather for multiple cities, price variation in multiple products, demand expectancy at different locations, or anything that changes with time and measured for multiple things or locations. If we have such type of time series data then we would be needing to plot that data in a single plot and it can be done with the help of geom_line function of ggplot2 package.ExampleConsider the below data frames −> x1 y1 df1 df1Output x1 y1 1 1 -0.1165387 2 2 -0.9084062 3 3 0.4696637 4 ... Read More
In this problem, we are given a number n which is given the n of elements of the series 1, 3, 6, 10 … (triangular number). Our task is to create a program to calculate the sum of the series.Let’s brush up about triangular numbers before calculating the sum.Triangular numbers are those numbers that can be represented in the form of a triangle.A triangle is formed in such a way that the first row has one point, second has two, and so on.ExampleLet’s take an example to understand the problem, Inputn = 4OutputExplanation − sum = T1 + T2 + T3 ... Read More
There are many data sets available in base R and in different packages of R. The characteristics of these data sets are very different, for example, some data sets are time series data, some have only numerical columns, some have numerical as well as factor columns, some includes character columns with other type of columns. Therefore, it becomes helpful to everyone who want to learn the use of R programming. To get the list of available data sets in base R we can use data() but to get the list of data sets available in a package we first need ... Read More
In this problem, we are given a number n which is the nth term of the series 1/(1*2) + 1/(2*3) +…+ 1/(n*(n+1)). Our task is to create a program to find the sum of the series.Let’s take an example to understand the problem, Input n = 3Output 0.75Explanation − sum = 1/(1*2) + 1/(2*3) + 1/(3*4) = ½ + ⅙+ 1/12 = (6+2+1)/12 = 9/12 = ¾ = 0.75A simple solution to the problem is using the loop. And commuting value for each element of the series. Then add them to the sum value.AlgorithmInitialize sum = 0 Step 1: Iterate from i = ... Read More
Extraction of data is necessary in data analysis because extraction helps us to keep the important information about a data set. This important information could be the first row and the last row of groups as well, also we might want to use these rows for other type of analysis such as comparing the initial and last data values among groups. We can extract or select the first and last row based on group column by using slice function of dplyr package.ExampleConsider the below data frame: > x1 x2 df1 head(df1, 12)Output x1 x2 1 1 3 2 1 4 ... Read More