Simple Report all non-const variables declared at namespace scope.
The so-called educator wanted to keep the kids busy so he could take a nap; he asked the class to add the numbers 1 to Gauss approached with his answer: The teacher suspected a cheat, but no.
Manual addition was for suckers, and Gauss found a formula to sidestep the problem: Pair Numbers Pairing numbers is a common approach to this problem. As the top row increases, the bottom row decreases, so the sum stays the same. And how many pairs do we have?
Wait — what about an odd number of items? What if we are adding up the numbers 1 to 9? Many explanations will just give the explanation above and leave it at that. However, our formula will look a bit different.
If you plug these numbers in you get: Yep, you get the same formula, but for different reasons. Use Two Rows The above method works, but you handle odd and even numbers differently. The total of all the numbers above is But we only want the sum of one row, not both.
So we divide the formula above by 2 and get: Now this is cool as cool as rows of numbers can be. It works for an odd or even number of items the same! Make a Rectangle I recently stumbled upon another explanation, a fresh approach to the old pairing explanation. Different explanations work better for different people, and I tend to like this one better.
Instead of writing out numbers, pretend we have beans. We want to add 1 bean to 2 beans to 3 beans… all the way up to 5 beans.
How do we count the number of beans in our pyramid? The next row of the pyramid has 1 less x 4 total and 1 more o 2 total to fill the gap.
Just like the pairing, one side is increasing, and the other is decreasing. Now for the explanation: How many beans do we have total? If we have numbers 1…then we clearly have items. To get the average, notice that the numbers are all equally distributed.
Even though we have a fractional average, this is ok — since we have an even number of items, when we multiply the average by the count that ugly fraction will disappear. Notice in both cases, 1 is on one side of the average and N is equally far away on the other.
So, we can say the average of the entire set is actually just the average of 1 and n: Putting this into our formula And voila! We have a fourth way of thinking about our formula.
So why is this useful?C program to add, subtract, multiply and divide complex numbers. It is a menu driven program in which a user will have to enter his/her choice to perform an operation .
C Program Using Structure to Calculate Marks of 10 Students in Different Subjects ; C Program Enter the Student Marks and Find the Percentage and Grade. C Program to Add Two Complex Numbers by Passing Structure to a Function This program takes two complex numbers as structures and adds them with the use of functions.
To understand this example, you should have the knowledge of following C programming topics.
How do I write a C program to calculate the sum of two numbers? Update Cancel. Answer Wiki. 27 Answers. As you've already gotten many answers, I wouldn't be writing another C program to add two numbers. But next time you just try this on your own. Whatever the problem is, apply your logic to it, write it down and then use a book or any.