Programming Articles

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Maximize the sum of products of the degrees between any two vertices of the tree in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 358 Views

Given the task is to construct a tree with a given integer N such that, the sum of degree(x) * degree(y) for all ordered pairs (x, y) is maximum and x is not equal to y.Input −N=5Output −50Explanation    1     \      2       \        3          \           4             \              5 Degree of 1st node = 1 Degree of 2nd node = 2 Degree of 3rd node = 2 Degree of 4th node ...

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Count number of triplets in an array having sum in the range [a,b] in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 353 Views

We are given an array of integers, Arr[] and two variables a and b to define a range [a,b]. The goal is to find the number of triplets whose sum lies in between this range [a,b].We will do this by using three for loops. Increment count if arr[i]+arr[j]+arr[k]>=a and arr[i]+arr[j]+arr[k]

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How to determine the percentiles of a vector values in R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 351 Views

Percentile helps us to determine the values that lie at a certain percent in a data set. For example, if we have a vector of size 100 with containing any values and suppose that the tenth-percentile of the vector is 25, which means there are ten percent values in the vector that are less than 25, or we can say, there are ninety percent values in the vector that are greater than 25. We can find percentiles of a vector values using quantile function in R.Examples> x1 x1Output[1] 7 1 7 6 6 5 3 1 5 5 4 5 ...

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Maximum sum subarray such that start and end values are same in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 248 Views

In this tutorial, we will be discussing a program to find maximum sum subarray such that start and end values are same.For this we will be provided with an array containing integers. Our task is to find the subarray with the maximum sum such that the elements are both its ends are equal.Example#include using namespace std; //finding the maximum sum int maxValue(int a[], int n) {    unordered_map first, last;    int pr[n];    pr[0] = a[0];    for (int i = 1; i < n; i++) {       pr[i] = pr[i - 1] + a[i];   ...

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Maximize the size of array by deleting exactly k sub-arrays to make array prime in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 196 Views

Given the task is to delete exactly K sub-arrays from a given array Arr[] with N positive elements such that all the remaining elements in the array are prime and the size of the remaining array is maximum.Input Arr[]={4, 3, 3, 4, 3, 4, 3} , K=2Output 3Explanation − K=2, this means only 2 sub-arrays must be deleted.The sub-arrays deleted are Arr[0] and Arr[3…5] which leaves the array Arr[]={3, 3, 3} with all the prime elements and the maximum size possible.Input Arr[]={7, 6, 2, 11, 8, 3, 12}, K=2Output 3Explanation − The sub-arrays deleted are Arr[1] and Arr[4…6] and the remaining prime array is ...

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Count of index pairs with equal elements in an array in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 569 Views

We are given with an array of N elements. The goal is to find the index pairs (i, j) which have the same element value such that i!=j. i.e, Arr[i]=Arr[j] and i!=j. This is used to make pairs of gloves of equal size. Out of N gloves only paired gloves are useful to sell.We will do this by running two loops with 0 -1. Total pairs=2Approach used in the below program is as followsWe take an integer array Arr[] initialized with random numbers for size of gloves > 0.Take a variable n which stores the length of Arr[].Function countPairs(int arr[], ...

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How to change the angle of annotated text in plot created by using ggplot2 in R?

Nizamuddin Siddiqui
Nizamuddin Siddiqui
Updated on 11-Mar-2026 342 Views

To annotate the text inside a plot created by ggplot2, we can use annotate function. It is used to give some explanation about the plot or add any useful information that will help readers to understand the plot in a better way. Sometimes, we might want to change the angle of the annotated text, especially in cases where we have some information that is presented vertically in the plot, therefore, we can use angle argument of the annotate function.ExampleConsider the below data frame −> x y df dfOutput      x       y 1 4.086537 5.890591 2 2.271184 ...

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Maximum sum subsequence with at-least k distant elements in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 223 Views

In this tutorial, we will be discussing a program to find maximum sum subsequence with at-least k distant elements.For this we will be provided with an array containing integers and a value K. Our task is to find the subsequence having maximum sum such that all the elements are at least K elements apart.Example#include using namespace std; //finding maximum sum subsequence int maxSum(int arr[], int N, int k) {    int MS[N];    MS[N - 1] = arr[N - 1];    for (int i = N - 2; i >= 0; i--) {       if (i + ...

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Unreachable statement using final variable in Java

AmitDiwan
AmitDiwan
Updated on 11-Mar-2026 274 Views

Unreachable statements are those that don’t get executed when the code is being executed. This could be so because −There is a return statement before the code.There is an infinite loop in the code.The execution of the code is terminated forcibly before it executes.Here, we will see how the unreachable statement can be used with the ‘final’ keyword −Exampleclass Demo_example{    final int a = 56, b = 99;    void func_sample(){       while (a < b){          System.out.println("The first value is less than the second.");       }       System.out.println("This is ...

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Maximize number of continuous Automorphic numbers in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 373 Views

Given the task is to maximize the number of continuous Automorphic elements in a given array with N number of elements.An automorphic number is a number whose square ends with the same digits as the number itself. For example 5 is an automorphic number as 5*5 = 25 and 25 ends with 5.Let’s now understand what we have to do using an example −Input − arr[]={5, 3, 625, 6, 8, 1}Output − 2Explanation − Automorphic numbers present in the above array are 5, 625, 6 and 1 but the maximum continuous automorphic numbers are {625, 6} which makes the output ...

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