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Articles on Trending Technologies
Technical articles with clear explanations and examples
Apothem of a n-sided regular polygon in C++
n-sided regular polygon is a closed figure of n sides that has all sides and angles of equal length. The below figure shows a 6 sided regular polygon commonly known as hexagon.Apothem is a line in the polygon that connects the center of the figure to the side. And it is perpendicular to one of its sides that makes it smallest in length.Now, let drive the formula for its length.The angle made by the side of an n sided polygon is 360/n.Now, as in the figure, the angle is equal to (360 / n )/2 = 180 /nNow taking the ...
Read MoreC++ program to find unique pairs such that each element is less than or equal to N
In this article, we will be discussing a program to find unique pairs of numbers having elements less than or equal to N and following some certain conditions −The square of difference between the two numbers must be equal to the LCM of those two numbers.The HCF of those two numbers can be represented as a product of any two consecutive numbers.The best approach to solve this problem would be to take two consecutive numbers (starting from 1) and finding the multiples of product of those numbers. Then among the multiples, to specify to one pair of numbers we need ...
Read MoreC++ program to find ways an integer can be expressed as sum of n-th power of unique natural numbers
In this article, we will be discussing a program to find ways an integer (say X) can be expressed as sum of n-th power of unique natural numbers.For example, let X = 100 and n = 2Then there would be 3 ways to express 100 as sum of squares of natural numbers.100 = 102 100 = 62 + 82 100 = 12 + 32 + 42 + 52 + 72This can be done easily by using recursion. We would start from 1 and go till the n-th root of the given number. In every run, we would subtract the n-th ...
Read MoreC++ program to check whether it is possible to finish all the tasks or not from given dependencies
In this article, we will be discussing a program to check if it is possible to finish all the given tasks on the basis of the given prerequisites.For example, let us say we have been given three tasks and prerequisites are [[1, 0], [2, 1], [3, 2]].( [1, 0] means that to pick up ‘1’ task; the ‘0’ task must be completed first.)Then, in this example since the ‘0’ task doesn’t have any prerequisite it can be completed first. Then the ‘1’ task can be completed, since the ‘0’ task has been completed. Similarly, both ‘2’ and ‘3’ tasks can ...
Read MoreCheck if a binary tree is subtree of another binary tree in C++
Suppose we have two binary trees. We have to check whether the smaller tree is a subtree of another binary tree or not. Consider these two trees are given.There are two trees. The second tree is the subtree of the first one. To check this property, we will traverse the tree in post-order fashion, then if the subtree rooted with this node is identical to the second tree, then it is subtree.Example#include using namespace std; class node { public: int data; node *left, *right; }; bool areTwoTreeSame(node * t1, node *t2) { if (t1 == ...
Read MoreC++ program for Finite Automata algorithm for Pattern Searching
In this article, we will be discussing a program to execute the Finite Automata algorithm for pattern searching.We are provided with a text[0...n-1] and a pattern[0...m-1]. We have to find all the occurrences of the pattern[] in the text[].For this we would preprocess the text[] and build a 2-d array to represent it. After that we just have to traverse between the elements of the text[] and the different states of the automata.Example#include #include #define total_chars 256 int calc_nextstate(char *pat, int M, int state, int x) { if (state < M && x == pat[state]) return ...
Read MoreC++ program to find 'k' such that its modulus with each array element is same
In this article, we will be discussing a program to find an integer ‘k’, such that its modulus with each element of a given array is the same.For example, let us suppose we have been given with an array, arr = {12, 22, 32}Then we have the output value of k = 1, 2, 5, 10.Take the case of two values in the array ‘x’ and ‘y’ (x>y). Then we have (y+difference)%k = y%k. Solving this we get, difference%k = 0So, we will find all the divisors to the difference of the maximum and minimum element in the array and ...
Read MoreCheck if a doubly linked list of characters is palindrome or not in C++
Here we will see how to check a string is a palindrome or not using a Doubly linked list. Here we will push each character of a string inside one doubly linked list. There will be two pointers, left and right. Then start scanning from both sides. If a left character is the same as right character, then move the left pointer to the next node, and move the right pointer to the previous node. Otherwise, return false. This process will be continued until the left and right are pointing at the same node, or the right pointer is pointing ...
Read MoreCheck if a given array contains duplicate elements within k distance from each in C++
Here we will see how to check whether an unsorted array has duplicate elements within k distance from each other or not. Suppose a list of elements is {1, 2, 3, 1, 4, 5}, here if k = 3, then the program will return true, as the distance between two 1s is 3.We will solve this using a hash table. The steps will be like below −Create one empty hash tableFor each index i, let the element e = arr[i] in the list, doif e is present in the hash table, then return trueotherwise, add e to hash table, and ...
Read MoreC++ program to find first collision point of two series
In this article, we will be discussing a program to find the first collision point i.e the first point that both of the series have.In this, we would be given with five variables ‘a’, ‘b’, ‘c’, ‘d’ and ‘n’. We have to create two arithmetic progression series from these having n digits eachb, b+a, b+2a, ….b+(n-1)a d, d+c, d+2c, ….. d+(n-1)cAnd then find the first common point that both of the given series has.To solve this, we would create the numbers in the first series. And for each number we would check if it is greater than or equal to ...
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