Programming Articles

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Count valid pairs in the array satisfying given conditions in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 678 Views

We are given with an array arr[] of N elements. The goal is to find the count of all valid pairs (Arr[i],Arr[j]) that follow certain conditions. Pairs Arr[i],Arr[j] invalid if −Arr[i]==Arr[j]Arr[i]+Arr[j] is eveni+j

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How to find standard deviations for all columns of an R data frame?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 8K+ Views

To find the means of all columns in an R data frame, we can simply use colMeans function and it returns the mean. But for standard deviations, we do not have any direct function that can be used; therefore, we can use sd with apply and reference the columns to find the standard deviations for all column of an R data frame. For example, if we have a data frame df then the syntax using apply function to find the standard deviations for all columns will be apply(df, 2, sd), here 2 refers to the columns. If we want to ...

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Maximum number of groups of size 3 containing two type of items in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 274 Views

Given the task is to calculate the maximum number of groups of size 3 that can be formed when N number of items of type A and M number of items of type B are given.Also, each group should have at least one item of each type, that is either A or B.Let’s now understand what we have to do using an example −Input − N=3, M=5Input − 2ExplanationGroup 1: 1 item of type A and 2 items of type B Group 2: 1 item of type A and 2 items of type B In total, 2 items of type ...

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Count ways of choosing a pair with maximum difference in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 401 Views

We are given with an array of numbers Arr[]. The goal is to count the number of pairs whose difference is equal to the maximum difference of all possible pairs. Count pairs (i!=j) and arr[x]- arr[y] is maximum possible.We will do this by first finding the maximum difference where (i!=j). And store as maxdiff. Then count all those pairs that have difference=maxdiff.Let’s understand with examples.Input − arr[]= { 1, 2, 3, 2, 4, 1, 5 }Output − No. of ways of choosing pair with maximum difference − 2Explanation −Here minimum no. is 1 and maximum number is 5, maximum difference ...

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How to change the gridlines of Y-axis on a chart created by using ggplot2 in R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 311 Views

Normally, the gridlines on a plot created by using ggplot2 package are a little far from each other but sometimes the plot looks better if the gridlines are close to each other, therefore, we might want to do so. This can be done by setting the minor_breaks and breaks using scale_y_continuous if the Y-axis plots a continuous variable.ExampleConsider the below data frame −> x y df dfOutput   x  y 1 14 16 2 36 1 3 78 18 4 61 6 5 19 11 6 2 40 7 93 23 8 10 13 9 3 21 10 55 31 11 ...

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Count the triplets such that A[i] < B[j] < C[k] in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 507 Views

We are given with three arrays A[], B[] and C[]. The goal is to find all triplets of elements of these arrays such that A[i]

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Count total divisors of A or B in a given range in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 440 Views

We are given four integers L, R, A and B. The goal is to find the count of numbers in range [L, R] that fully divide either A or B or both.We will do this by traversing from L to R and for each number if number%A==0 or number%B==0 then increment count of divisors.Let’s understand with examples.Input − L=10, R=15, A=4, B=3Output − Count of divisors of A or B − 2Explanation −Number 12 is fully divisible by 3 and 4. Number 15 is fully divisible by 3 only. Total divisors=2Input − L=20, R=30, A=17, B=19Output − Count of divisors ...

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How to find the number of columns of an R data frame that satisfies a condition based on row values?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 950 Views

Sometimes we want to extract the count from the data frame and that count could be the number of columns that have same characteristics based on row values. For example, if we have a data frame containing three columns with fifty rows and the values are integers between 1 and 100 then we might want to find the number of columns that have value greater than 20 for each of the rows. This can be done by using rowSums function.ExampleConsider the below data frame −> x1 x2 x3 df dfOutput x1 x2 x3 1 9 72 9 2 5 20 6 ...

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Maximum number of ones in a N*N matrix with given constraints in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 253 Views

Given the task is to find the maximum number of ones in a binary matrix possible with the following constraints.Two integers N and X are given where X

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Counting cross lines in an array in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 319 Views

We are given with an array of distinct elements that are unsorted. The goal is to find the cross lines after the array is sorted. Cross lines are counted as shown below −Arr[]={ 1, 2, 4, 3, 5 } There are 3 cross lines as shown belowArr[]= { 1, 2, 3, 4, 5 }. There are no cross lines as the array is already sorted.We will count the cross lines using insertion sort in which an element from right is added to sorted elements on its left. Each time the element is added in the sorted part, increment count as ...

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