Server Side Programming Articles

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Program to build DFA that starts and ends with 'a' from the input (a, b)

sudhir sharma
sudhir sharma
Updated on 15-Mar-2026 1K+ Views

DFA stands for Deterministic Finite Automata. It is a finite state machine that accepts or rejects a string based on its transition rules and final states. Here, we are going to make a DFA that accepts a string that starts and ends with 'a'. The input alphabet is from the set {a, b}. Let's discuss some valid and invalid cases that are accepted by this DFA. Strings accepted by DFA: "ababba", "aabba", "aa", "a" Strings not accepted by DFA: "ab", "b", "aabab" Syntax // Check if string starts and ends with 'a' if (str[0] ...

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Binary array after M range toggle operations?

Arnab Chakraborty
Arnab Chakraborty
Updated on 15-Mar-2026 289 Views

In C, we can solve the binary array toggle problem by applying range operations on an initially zero-filled array. Given an array of size n (initially all zeros) and M toggle commands, each command toggles all bits in a specified range [a, b]. This problem demonstrates bit manipulation using the XOR operation. Syntax void toggleCommand(int arr[], int start, int end); // Toggles bits from index start to end (inclusive) Algorithm toggleCommand(arr, a, b) Begin for each element e from index a to b, do ...

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Biggest Square that can be inscribed within an Equilateral triangle?

Arnab Chakraborty
Arnab Chakraborty
Updated on 15-Mar-2026 339 Views

Here we will find the side length and area of the biggest square that can be inscribed within an equilateral triangle. Given an equilateral triangle with side length 'a', we need to determine the maximum square that fits inside it. Triangle a x Side = a Syntax float squareSide = a / (1 + 2/sqrt(3)); float squareArea = squareSide * squareSide; Where 'a' ...

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Biggest Reuleaux Triangle within A Square?

Arnab Chakraborty
Arnab Chakraborty
Updated on 15-Mar-2026 163 Views

Here we will see the area of biggest Reuleaux triangle inscribed within a square. The side of the square is 'a'. And the height of the Reuleaux triangle is h. h = a a a Side = a The height of the Reuleaux triangle is same as a. So a = h. ...

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Biggest Reuleaux Triangle within a Square which is inscribed within a Circle?

Arnab Chakraborty
Arnab Chakraborty
Updated on 15-Mar-2026 183 Views

Here we will see the area of biggest Reuleaux triangle inscribed within a square, that square is inscribed inside one circle. The side of the square is a and the radius of the circle is r. As we know that the diagonal of the square is the diameter of the circle. Circle (radius r) Square (side a) Reuleaux Triangle Syntax float areaReuleaux(float radius); Mathematical Relationship Since the diagonal of the square equals the diameter of the ...

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Biggest Reuleaux Triangle within a Square which is inscribed within a Right angle Triangle?

Arnab Chakraborty
Arnab Chakraborty
Updated on 15-Mar-2026 167 Views

Here we will see how to find the area of the biggest Reuleaux triangle inscribed within a square, where that square is inscribed inside a right angled triangle. A Reuleaux triangle is a curved triangle with constant width formed by the intersection of three circles. b (base) l a h (hypotenuse) The side of the square inscribed in a right angled triangle with height ...

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Biggest Reuleaux Triangle inscribed within a square which is inscribed within an ellipse?

Arnab Chakraborty
Arnab Chakraborty
Updated on 15-Mar-2026 172 Views

Here we will see how to calculate the area of the biggest Reuleaux triangle inscribed within a square, where that square is inscribed inside an ellipse. We know that the major axis length is 2a, and the minor axis length is 2b. The side of the square is 'x', and the height of the Reuleaux triangle is h. 2a (major axis) 2b (minor axis) ...

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Biggest Reuleaux Triangle inscribed within a square which is inscribed within a hexagon?

Arnab Chakraborty
Arnab Chakraborty
Updated on 15-Mar-2026 152 Views

Here we will see the area of biggest Reuleaux triangle inscribed within a square which is inscribed in a regular hexagon. Suppose 'a' is the side of the hexagon. The side of the square is x and the height of the Reuleaux triangle is h. Hexagon (side a) Square (side x) Reuleaux Triangle (height h) ...

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Biggest Reuleaux Triangle inscribed within a Square inscribed in an equilateral triangle?

Arnab Chakraborty
Arnab Chakraborty
Updated on 15-Mar-2026 225 Views

Here we will see the area of biggest Reuleaux triangle inscribed within a square which is inscribed in an equilateral triangle. A Reuleaux triangle is a shape formed by the intersection of three circles of equal radius, creating a curved triangle with constant width. Equilateral Triangle (side = a) Square ...

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Biggest Reuleaux Triangle inscirbed within a square inscribed in a semicircle?

Arnab Chakraborty
Arnab Chakraborty
Updated on 15-Mar-2026 178 Views

Here we will see how to calculate the area of the biggest Reuleaux triangle inscribed within a square which is inscribed in a semicircle. Given the radius of the semicircle as R, the side of the square as 'a', and the height of the Reuleaux triangle as h. Semicircle (radius R) Square (side a) Reuleaux Triangle Center ...

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