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In this problem, we are given two values x and y. Our task is to find maximum among x^(y^2) or y^(x^2) where x and y are given. Let’s take an example to understand the problem, Input: x = 4, y = 3Output: 3^(4^2)Explanation: x^(y^2) = 4^(3^2) = 4^9 = 262144y^(x^2) = 3^(4^2) = 3^16 = 43046721Solution approachOne approach can be to calculate both values and then print the maximum of both. But this method does not work when the values are large.A simple and easy approach is using natural log (ln) which will be the solution easier.ln(x^(y^2)) = (y^2) * ln(x)ln(y^(x^2)) = (x^2) * ... Read More
Enumerations in Java represents a group of named constants, you can create an enumeration using the following syntax −enum Days { SUNDAY, MONDAY, TUESDAY, WEDNESDAY, THURSDAY, FRIDAY, SATURDAY }We can an enumeration inside a class. But, we cannot define an enum inside a method. If you try to do so it generates a compile time error saying “enum types must not be local”.Examplepublic class EnumExample{ public void sample() { enum Vehicles { Activa125, Activa5G, Access125, Vespa, TVSJupiter; } } }ErrorEnumExample.java:3: error: enum types must not be local ... Read More
To create a random vector of integers with increasing values, we can do random sampling with sample.int and for increasing values cummax function needs to be used. For example, to create a random vector of integers of size 5 up to values 5 starting from 1 can be done by using the command cummax(sample.int(5)).Examplex1
In this problem, we are given an array arr[] of size n consisting of positive and negative values and an integer k. Our task is to find the maximum average subarray of k length. Let’s take an example to understand the problem, Input: arr[] = {4, -1, 5, 6, -2, 4} k = 3Output: 10Explanation: The subarray of size 3 with max sum is -1, 5, 6 = 10Solution ApproachA solution to the problem is done by using an auxiliary array to store cumulative sum till the current index in the array.To find the sum of subarrays, we need to compute the difference between the indices ... Read More
By subtotal we mean finding the sum of values based on grouping column. For example, if we have a data frame called df that contains three numerical columns as x, y, z and one categorical column say Group then the subtotal of x, y, z for each category in Group can be found by using the command aggregate(cbind(x,y,z)~Group,data=df,FUN=sum).Consider the below data frame −Examplex1
In this problem, we are given an array arr[] of size n consisting of positive values. Our task is to find maximum in an array without using Relational Operators. Let’s take an example to understand the problem, Input: arr[] = {5, 1, 6, 7 , 8, 2}Output: 8Solution ApproachSince we need to compare values without using logical operators. For this we need to perform repeated subtraction, the number which will last longer will be the larger one.We will decrement all values by one till they become zero. We will start with the first two values of the array and find the greatest ... Read More
If we have time series data stored in a data frame then plotting the same as a time series cannot be done directly, also the labels for the series might not be possible directly. Therefore, we first need to convert the data frame to a time series object by using the function ts as shown in the below example and then using the plot function to create the plot, this will display the labels for the series as well.Consider the below data frame −ExampleTime
In this problem, we are given a matrix mat of size mXn of integer values. Our task is to create a program to Print cells with same rectangular sums in a matrix.Problem description: We will be finding a cell in the matrix in such a way that the sum of sub-matrices that are starting and ending with the cell is equal to the sum of all the remaining elements. For a cell the sum of matrix (a, b) sub-matrix mat[0][0] to mat[a][b] and mat[a][b] to mat[m][n] is equal to the sum of all remaining elements.Let’s take an example to understand the problem, ... Read More
The append method of the StringBuilder or StringBuffer objects accept a boolean or, char or, char array or, double or, float or, int or, long or, String value as parameter and adds it to the current object.You can append the required double value to the method and retrieve a String from obtained StringBuffer (or, StringBuilder) objects.Exampleimport java.util.Scanner; public class ConversionOfDouble { public static void main(String args[]) { Scanner sc = new Scanner(System.in); System.out.println("Enter a double value:"); double d = sc.nextDouble(); StringBuffer sb = new StringBuffer(); sb.append(d); ... Read More
If a vector value exists in another vector then we might want to find the frequency/count for such values in the other vector. For example, if we have two vectors say x and y, and some of the values in y exists in x as well. Therefore, we can find the frequency of values in x for y values can be found by using the command colSums(outer(x,y,"==")).Examplex1