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Maximum number of unique prime factors in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 1K+ Views

Given the task is to find the maximum number of unique prime factors a number can have in the range of [1, N] where N is given.Let’s now understand what we have to do using an example −Input − N=100Output − 3Explanation − Let us take 30 in the range of [1, 100]30 = 3 * 2 * 5 = unique prime factors. Therefore, in the range of [1, 100] a maximum of 3 unique factors can be found.Input − N=300Output − 4Approach used in the below program as followsIn function MaxPrime() we will first check if (N < 2). ...

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Count the number of pairs (i, j) such that either arr[i] is divisible by arr[j] or arr[j] is divisible by arr[i] in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 1K+ Views

We are given with an array arr[] of N elements. The goal is to find the count of all valid pairs of indexes (i, j) such that either arr[i] is divisible by arr[j] or arr[j] is divisible by arr[i] and i!=j.We will do this by traversing the array arr[] using two for loops for each number of pair and check if arr[i]%arr[j]==0 or arr[j]%arr[i]==0 when i!=j. If true increment count of pairs.Let’s understand with examples.Input − Arr[]= { 2, 4, 3, 6 } N=4Output − Count of valid pairs − 3Explanation − Valid pairs are −Arr[0] & Arr[1] → (2, ...

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How to change the color and size of the axes labels of a plot created by using plot function in R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 381 Views

The default size of axes labels created by using plot function does not seem to be large enough and also it does not look appealing. Therefore, we might want to change their size and color because the appearance of a plot matters a lot. This can be done by setting colors with col.lab and size with cex.lab.Example> x y plot(x,y)OutputChanging the color of axes labels and the size of those axes labels −> plot(x,y,col.lab="blue",cex.lab=2)Output> plot(x,y,col.lab="dark blue",cex.lab=3)Output

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Count the number of pairs that have column sum greater than row sum in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 245 Views

We are given a matrix of size NXN. The goal is to find the count of all valid pairs of indexes (i, j) such that the sum elements of column j is greater than the sum of elements of row i.We will do this by traversing the matrix and calculate sums of elements of each row and column.Store sum of elements of each in rowsum[N] and sum of elements of each column in colsum[N].Now make pairs of rowsum[i] and colsum[j] and check if colsum[j]>rowsum[i]. If true increment count for such pairs.Let’s understand with examples.Input-: matrix= {    { 1, 2, ...

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How to select rows based on range of values of a column in an R data frame?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 2K+ Views

Extraction or selection of data can be done in many ways such as based on an individual value, range of values, etc. This is mostly required when we want to either compare the subsets of the data set or use the subset for analysis. The selection of rows based on range of value may be done for testing as well. We can do this by subset function.ExampleConsider the below data frame −> x1 x2 x3 df dfOutput x1 x2 x3 1 3 2 6 2 3 4 9 3 4 4 12 4 4 8 12 5 3 5 11 6 ...

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Count the number of operations required to reduce the given number in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 375 Views

We are given with a positive integer K and an array Ops[] which contains integers. The goal is to find the number of operations required to reduce K such that it becomes less than 0. Operations are −First operation is K + Ops[0], first element added to KAfter 1. Add Ops[i] to K until K

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How to draw gridlines in a graph with abline function in R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 251 Views

Gridlines are the horizontal and vertical dotted lines, and they help to organize the chart so that the values on the labels becomes better readable to viewers. This is helpful specially in situations where we plot a large number of data points. A graph drawn by plot function can have gridlines by defining the vertical and horizontal lines using abline.ExampleConsider the below data and scatterplot −> x y plot(x,y)OutputAdding gridlines using abline function −> abline(h=seq(0,5,0.5),lty=5) > abline(v=seq(-2,2,0.5),lty=5)Output

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How to concatenate column values and create a new column in an R data frame?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 1K+ Views

Sometimes we want to combine column values of two columns to create a new column. This is mostly used when we have a unique column that maybe combined with a numerical or any other type of column. Also, we can do this by separating the column values that is going to be created with difference characters. And it can be done with the help of apply function.ExampleConsider the below data frame −> ID Country df1 df1Output ID Country 1 1 UK 2 2 UK 3 3 India 4 4 USA 5 5 USA 6 6 UK 7 7 Nepal 8 8 ...

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Maximum number that can be display on Seven Segment Display using N segments in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 416 Views

Given the task is to find the maximum number that can be displayed using N segment on ant number of seven segment display.Let’s now understand what we have to do using an example −Input − N=5Output − 71Explanation − The largest number will be displayed as follows on the seven segment display −Input − N=6Output − 111Approach used in the below program as followsThe following situation can be divided into 3 case −Case 1 −If N is 0 or 1, then it is not possible to display any number.Case 2 −If N is odd. Then the numbers that can be ...

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Count numbers with same first and last digits in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 563 Views

We are given an interval [first, last]. The goal is to find the count of numbers that have the same first and last digit within this interval. For example, 232 has the same first and last digit as 2.We will do this by traversing from i=first to i=last. For each number I compare its first digit with the last digit, if they are the same increment the count.Let’s understand with examples.Input − first=8 last=40Output − Count of numbers with same first and last digits − 5Explanation − Numbers between 8 and 40 with same first and last digit −8, 9, ...

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