C++ Articles

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Area of a polygon with given n ordered vertices in C++

Aman Kumar
Aman Kumar
Updated on 29-Jul-2025 1K+ Views

A polygon is a closed two-dimensional shape formed by connecting three or more straight lines end-to-end. These lines form sides, and their connection points are called vertices. When the vertices of the polygon are given in a specific order either clockwise or counter-clockwise, we can calculate the area of the polygon using a mathematical formula known as the Shoelace Formula or Surveyor’s Formula. You are given the coordinates of a polygon with n vertices. The vertices are provided in an ordered manner, meaning they are listed either in clockwise or anticlockwise order starting from the first vertex to the last. ...

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Alternate Lower Upper String Sort in C++

Nishu Kumari
Nishu Kumari
Updated on 29-Jul-2025 690 Views

We are given a string that contains both lowercase and uppercase characters, and we have to sort them in an alternate way, meaning one lowercase letter, then one uppercase letter, then again a lowercase letter, and so on, all in sorted order within their cases. Let's understand this with a few example scenarios. Scenario 1 Input: "aFegrAfStRzsV" Output: "AagfRsSeTvz" Explanation: Sorted uppercase letters: A, F, R, S, T, V Sorted lowercase letters: a, e, f, g, r, s, z We place one uppercase letter, then one lowercase letter, starting with an uppercase. We repeat this until all letters ...

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Adding one to number represented as array of digits in C++?

Nishu Kumari
Nishu Kumari
Updated on 29-Jul-2025 423 Views

In this problem, we are given a number in the form of an array, and each digit of the number is stored at one index of the array, and the most significant digit comes first. Our task is to add 1 to this number and return the updated number in the same array format. Let's understand it with some example scenarios. Scenario 1 Input: Input_arr[] = {2, 6, 1} Output: 262 Explanation: The array represents 261. Adding 1 gives 261 + 1 = 262. Scenario 2 Input: input_arr[] = {5, 9, 9, 9} Output: 6000 Explanation: The array ...

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Alternate Odd and Even Nodes in a Singly Linked List in C++

Nishu Kumari
Nishu Kumari
Updated on 29-Jul-2025 464 Views

Given a singly linked list, we need to rearrange its nodes so that even and odd numbers come one after the other alternatively. If the list starts with an even number, the next should be odd, then even, and so on. Similarly, if it begins with an odd number, the next should be even, then odd, and so on. Let's look at some example scenarios to understand the concept better. Scenario 1 Input: 45 -> 21 -> 2 -> 213 -> 3 -> 34 -> 78 -> 12 Output: 45 -> 2 -> 21 -> 34 -> 213 -> 78 ...

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Additive Number in C++

Nishu Kumari
Nishu Kumari
Updated on 28-Jul-2025 793 Views

We are given a string containing only digits from 0 to 9, and we need to check whether it is an additive number. An additive number is a string that can form an additive sequence, where each number (starting from the third) is the sum of the previous two. For the sequence to be valid, it must have at least three numbers. Let's look at the example scenarios to understand the problem clearly: Scenario 1 Input: "112358" Output: true Explanation: The digits can form the sequence: 1, 1, 2, 3, 5, 8 Here, 1 + 1 = 2 1 ...

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Area of the Largest Triangle inscribed in a Hexagon in C++

Ravi Ranjan
Ravi Ranjan
Updated on 28-Jul-2025 519 Views

In this problem, our task is to find the area of the largest triangle that can be inscribed in a regular hexagon. Each side of the hexagon and triangle is of length a and b, respectively. Area of the Largest Triangle Inscribed in a Hexagon You can calculate the area of the largest triangle inscribed in a regular hexagon using the following formula: $$ Area\ of\ triangle\ inside\ hexagon\ = \frac{3\sqrt{3}}{4} \cdot a^2 $$ Derivation The first step is to establish a relation between a and b, as the value of a(side of the hexagon) is ...

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Errors in C/C++

Tapas Kumar Ghosh
Tapas Kumar Ghosh
Updated on 28-Jul-2025 13K+ Views

In C/C++, an error occurs due to an invalid operation performed by the user. The error normally stops the program execution until it is fixed. So, the error should be removed before compilation and execution. Types of Error in C/C++ Following is the list of errors occur in C/C++ programming: Syntax Error Run-Time Error Linker Error Logical Error Semantic Error In this article, we will see the implementation of error in C/C++ programs. Syntax Error The syntax error ...

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Area of a square from diagonal length in C++

Ravi Ranjan
Ravi Ranjan
Updated on 28-Jul-2025 412 Views

A diagonal of a polygon is the line joining two vertices that are not adjacent to each other. The formula for calculating the area of a square with diagonal length is a2 = d2 / 2, where a and d are the side and diagonal length of the square, respectively. The visual representation of the derivation of the formula is given below: Here are some example scenarios to calculate the area of a square from the diagonal length using the above formula: Scenario 1 Input: d = 10 Output: 50 Explanation: Using the formula: area = ...

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Area of a triangle inside a parallelogram in C++

Ravi Ranjan
Ravi Ranjan
Updated on 28-Jul-2025 653 Views

The area of a triangle is given as (base * height) / 2, and the area of a parallelogram is base * height. For calculating the area of the triangle inside the parallelogram, we divide the area of the parallelogram by 2, i.e., (base * height) / 2, where the base and the height of the parallelogram are given. Here are some example scenarios to calculate the area of a triangle inside a parallelogram using the above formula: Scenario 1 Input: base = 10, height = 8 Output: 40 Explanation: Using the formula: Area ...

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Arithmetic Mean in c++?

Ravi Ranjan
Ravi Ranjan
Updated on 25-Jul-2025 2K+ Views

An arithmetic mean is the average of all the given numbers, which is calculated by summing all the numbers and dividing this calculated sum by the total number of elements. The formula for calculating the arithmetic mean is: $$ \bar{x} = \frac{1}{n} \sum_{i=1}^{n} x_i = \frac{x_1 + x_2 + x_3 + \cdots + x_n}{n} $$ Here, we are given an array of integers and our task is to calculate the arithmetic mean of these numbers using the above formula: Scenario 1 Input: num = 2, 7, 4, ...

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