Server Side 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 680 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 create bar plot of means with error bars of standard deviations using ggplot2 in R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 594 Views

If we have summary data for a group variable then we might want to look at the errors or say differences between mean and standard deviations visually, therefore, we can create a bar plot with error bars of standard deviations. This can be done by using geom_errorbar function of ggplot2 package.ExampleConsider the below data frame −Group

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

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 409 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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Counting cross lines in an array in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 322 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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How to change the adjustment of the plot title using ggplot2 to align it above the Y-axis labels in R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 731 Views

When we create a plot and put a title above it, the alignment of the title is left-adjusted by default and that lies on the edge of the plot area. But sometimes, we want to display the title on the above side of the Y-axis labels, therefore, we can use theme function and set the hjust argument accordingly.ExampleConsider the below data frame −x

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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 249 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 reverse the X-axis labels of scatterplot created by using ggplot2 in R?

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

ExampleThere exists a possibility that one of the variables is recorded in an opposite manner and we want to create a scatterplot using that variable. Therefore, we would need to reverse that variable while plotting. Suppose that variable is an independent variable, hence it will be plotted on X-axis. Thus, to reverse the X-axis labels we can use scale_x_reverse function of ggplot2 package.Consider the below data frame −Examplex

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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 377 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 increase the size of points on a scatterplot if the points are drawn based on another sequence using ggplot2 in R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 667 Views

When we draw a scatterplot using ggplot2 with points based on a sequence of values then the size of the points might be very small for the small values. As a result, it becomes a little difficult to view the points. Therefore, we might want to increase the size of those points. It can be done by using scale_size_continuous function in which we can set a range for the points size.ExampleConsider the below data frame −x

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Count number of ordered pairs with Even and Odd Product in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 282 Views

We are given an array of n positive numbers.The goal is to count the ordered pairs (arr[x], arr[y]) with the product of arr[x] and arr[y] is even or odd. Pair ( arr[i], arr[j] ) and ( arr[j], arr[i] are counted as separate.We will traverse the array using two for loops for each number of pairs. Now calculate product, if it is even increment count by 2 for even products else increment count by 2 for odd products.Let’s understand with examples.Input− Arr[]= { 1, 1, 2, 3 } N=4Output − Count of even product pairs: 6 Count of odd product pairs: ...

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