In this course, we will cover C# coding test problems using arrays and lists. Arrays and lists are important parts of data structures and are frequently used in various algorithm problems.
Problem: Sum of Consecutive Numbers
Problem description: Given a natural number N, write a program to calculate the sum of consecutive natural numbers from 1 to N.
For example, if N = 10, then 1 + 2 + 3 + … + 10 = 55.
Input
A natural number N (1 ≤ N ≤ 1000)
Output
Print the sum from 1 to N.
Problem Solving Process
To solve this problem, we can use an array or list to store the numbers from 1 to N and sum them up. However, since there is a simpler mathematical formula, we can also use Sum = N * (N + 1) / 2
.
Solution Method
- Input: Get the natural number N from the user.
- Calculate the sum: Calculate the sum up to N. Typically, a
for
loop is used, but we can use the formula mentioned above. - Output the result: Print the calculated sum.
C# Code Implementation
using System;
class Program
{
static void Main(string[] args)
{
Console.Write("Please enter a natural number N: ");
int N = int.Parse(Console.ReadLine());
// Method 1: Calculate the sum using a for loop
int sum = 0;
for (int i = 1; i <= N; i++)
{
sum += i;
}
// Method 2: Calculate the sum using the mathematical formula
// int sum = N * (N + 1) / 2;
Console.WriteLine($"The sum from 1 to {N} is {sum}.");
}
}
Code Explanation
The code above first gets the natural number N from the user. It provides both methods:
- In Method 1, it uses a
for
loop to sequentially add the values from 1 to N. - Method 2 uses the mathematical formula, simply taking the input for N and calculating the result through arithmetic operations.
Complexity Analysis
Time complexity: O(N) (when using the for loop)
Space complexity: O(1) (when not using additional arrays or lists)
Conclusion
In this course, we covered basic algorithms in C# through a simple problem using arrays and lists. We learned the importance of data management through arrays or lists and the usefulness of using mathematical formulas to solve problems.
In the next course, we will address more complex problems related to arrays and lists. We look forward to your participation!