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C Articles
Page 70 of 96
Add 1 to the number represented as array (Recursive Approach)?
Given an array which is a collection of non-negative number represented as an array of digits, add 1 to the number (increment the number represented by the digits ). The digits are stored such that the most significant digit is the first element of the array.To add 1 to the number represented by digitsGiven array from the end, addition means rounding of the last no 4 to 5.If the last elements 9, make it 0 and carry = 1.For the next iteration check carry and if it adds to 10, do the same as step 2.After adding carry, make carry ...
Read MoreA square matrix as sum of symmetric and skew-symmetric matrix ?
Symmetric Matrix − A matrix whose transpose is equal to the matrix itself. Then it is called a symmetric matrix.Skew-symmetric matrix − A matrix whose transpose is equal to the negative of the matrix, then it is called a skew-symmetric matrix.The sum of symmetric and skew-symmetric matrix is a square matrix. To find these matrices as the sum we have this formula.Let A be a square matrix. then, A = (½)*(A + A`)+ (½ )*(A - A`), A` is the transpose of the matrix.(½ )(A+ A`) is symmetric matrix.(½ )(A - A`) is a skew-symmetric matrix.Example#include using namespace std; ...
Read MoreSum of square of first n odd numbers
The series of squares of first n odd numbers takes squares of of first n odd numbers in series.The series is: 1,9,25,49,81,121…The series can also be written as − 12, 32, 52, 72, 92, 112….The sum of this series has a mathematical formula −n(2n+1)(2n-1)/ 3= n(4n2 - 1)/3Lets take an example,Input: N = 4 Output: sum =Explanation12 + 32 + 52 + 72 = 1 +9+ 25 + 49 = 84Using formula, sum = 4(4(4)2- 1)/3 = 4(64-1)/3 = 4(63)/3 = 4*21 = 84 both these methods are good but the one using mathematical formula is better because it does not use looks which reduces its time complexity.Example#include int main() { int n = 8; int sum = 0; for (int i = 1; i
Read MoreSum of all subsets of a set formed by first n natural numbers
A Set is a collection of data elements. Subset of a set is a set formed by only the elements after parent set. for example, B is A subset of a if all elements of B exist in A.Here we need to find the sum of all subsets of a set found by first n natural numbers. this means I need to find all subsets that can be formed and then adding them. Let's take an example, N = 3Set = {1, 2, 3}subsets formed = { {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3, } ...
Read MoreSum of series with alternate signed squares of AP
An arithmetic progression (AP) is a series of numbers in which the difference between two consecutive terms in the same. The difference is calculated by subtracting the second term from the first.Let's take a sample sequence to know about AP, 5, 7, 9, 11, 13, 15, . . . The common difference(d) of this arithmetic progression is 2. This means every succeeding element differs the former one by 2. The first term (a) of this series is 5.The general formula for finding the nth term is a{n} = a + (n-1)(d)In this problem, we are given an AP and we ...
Read MoreSum of series 2/3 – 4/5 + 6/7 – 8/9 + …… upto n terms
A series is a sequence of numbers that have some common traits that each number follows. There are various series defined in mathematics with sum mathematical logic or mathematical formula. In this problem we are given a series of numbers 2/3 , -4/5 , 6/7 , -8/9 , …..The general term of the series can be defined as (-1)n *(2*n)/ ((2*n)+1)To find the sum of series, we need to add each element of the given series as, 2/3 - 4/5 + 6/7 - 8/9 + ……Let's take an example, Input: 10 Output: -0.191921Explanation(2 / 3) - (4 / 5) + ...
Read MoreSum of series 1^2 + 3^2 + 5^2 + . . . + (2*n – 1)^2
A series is a sequence of numbers that have some common traits that each number follows. These mathematical series are defined based on some mathematical logic like every number increases by the same interval( arithmetic progression), every number is increased by the same multiple( geometric progression), and many other patterns.To find the sum of a series we need to evaluate the series and make a general formula for it. But in the series that is no common declaration that takes place so we have to go through the classical approach by adding each number of the series to a sum ...
Read MoreC/C++ Program for the Odd-Even Sort (Brick Sort)?
The odd-even sword also known as the brick sort is a similar sorting technique, like bubble sort. This sorting technique is subdivided into 2 phases odd phase and even phase, Both these phases simultaneously at every iteration until all the elements get sorted.The Odd phase of this programming technique works as a bubble sort but only on the elements that have an odd index.Similarly, the even phase works only on the elements that have an even index.For making this concept more clear let's take an example :Input: a[]={3, 5, 7, 6, 1, 4, 2} Output: 1 2 3 4 5 ...
Read MoreC/C++ Program for Number of solutions to Modular Equations?
We have an n number of coins and we have to French the coin way that it makeup Pyramid of maximum height. We will arrange the first coin in First row second and third coin in the second row and so onIn the given diagram, we make pyramid 6 of coins having a height of 3. We cannot make height 4 but we will need 10 coins. It is simple to get the height by using this formula;H = {(-1+ √(1+8N))/2}Input: n = 10 Output: Height of pyramid: 4ExplanationHeight by using this formulaH = {(-1+ √(1+8N))/2}Example#include #include using ...
Read MoreArea of a square inscribed in a circle which is inscribed in an equilateral triangle in C Program?
The program to find the area of a square inscribed in a circle which itself is inscribed in an equilateral triangle. The radius of circle inscribed inside an equilateral is a/(2√3).The diameter of circle is the diagonal of square, d = 2 * r = a/ √3 Area formula for area of square given its diagonals is ½ d2, A = 0.5 * d2 A = (1/2) * (a2) / (3) = (a2/6) Example#include using namespace std; int main() { float area,a = 10; area = (a*a) / 6; cout
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