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Newton’s Second Law – Force Required to Accelerate a Rocket Cart
At ISRO's training center, engineering students are testing a small rocket-powered cart on a straight frictionless track. The ca...

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The Dividing River of Balance
After escaping the multiplying vines, Arjun arrives at a wide glowing river. Floating stones appear and disappear mysteriously. ...

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The Multiplying Vines
As Arjun continues deeper into the Lost Forest of Aryavarta, thick magical vines suddenly wrap around the trees and block his pa...

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The Broken Bridge of Difference
fter entering the forest, Arjun walks deeper until he reaches a wide river. The bridge that once crossed it is broken, and only ...

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The Gate of Addition
As Arjun stands at the entrance of the mysterious Lost Forest of Aryavarta, he encounters a massive ancient wooden gate covered ...

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Breaking straight lines
Let P be a point in Oxy plane and let p be a 1×2 array representing an one-degree or zero-degree polynomials, if its first entry...

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Spiral Mandala
Generate a clockwise spiral pattern using 1s in an N×N matrix to create an intricate mandala effect. e.g. N = 5; y_correct...

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Hollow Diamond Pattern
Create an N×N matrix that forms a hollow diamond shape using 1s, leaving the interior empty. This challenge emphasizes boundary ...

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Vertical Mirror Mandala
Create a symmetric left-right mirrored pattern in an N×N matrix to emulate mandala reflection symmetry. e.g. N = 5; ...

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Starburst Mandala
Create a mandala starburst using diagonal and orthogonal symmetry in a matrix.

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Hourglass Mandala
Generate an hourglass shape using matrix geometry and symmetry. e.g. N = 5; 1 1 1 1 1; 0 1 1 1 0; ...

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Circular Ring Approximation Mandala
Generate a matrix that approximates a circular ring using distance-based thresholding , a visually rich mandala-inspired challen...

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Diagonal Cross Mandala
Generate an N×N matrix with diagonals highlighted to form an artistic X-shaped mandala pattern. e.g. N = 5; 1 0 0...

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Filled Diamond Pattern
Create an N×N binary matrix that forms a filled diamond shape centered in the matrix. The diamond expands symmetrically toward t...

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Simulate full-stop emergency braking scenario.
Emergency braking events demand rapid deceleration to bring the vehicle safely to rest. Given initial vehicle speed and constant...

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Compute optimal regenerative and friction brake torque blending.
Electric and hybrid vehicles combine regenerative braking with traditional friction braking to maximize energy recovery while en...

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Estimate brake disc temperature rise during braking.
During braking, kinetic energy is converted into thermal energy, causing brake discs to heat up. Excessive temperature rise can ...

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Compute optimal front–rear brake force distribution.
Modern braking systems dynamically distribute braking forces between front and rear axles to maintain stability, reduce stopping...

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Compute wheel slip ratio during braking.
During braking, a difference develops between the vehicle’s forward speed and the rotational speed of its wheels. This differenc...

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Plus Cross Mandala
Create a symmetrical plus (+) shaped pattern centered in an N×N matrix.

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Concentric Squares Mandala
Generate concentric square rings of alternating 1s and 0s to form a layered mandala-style matrix. e.g. N = 5; 1 1 1 1 1;...

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Estimate dynamic load transfer to front axle during braking.
During braking, load shifts from the rear axle to the front axle. Given mass, deceleration, center of gravity height, and wheelb...

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Estimate brake line pressure required for a given force.
Hydraulic braking systems amplify pedal input to generate braking force. Given braking force and piston area, compute the hydrau...

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Compute the required brake torque at wheel to stop the car
Brake torque defines how effectively braking force translates into wheel deceleration. Given braking force and wheel radius, det...

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Compute braking force using vehicle mass and acceleration.
Compute braking force required to stop a vehicle of mass 'm' and with acceleration 'a' Remember: F = m × a.

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Compute vehicle stopping distance using initial speed and constant deceleration.
Given vehicle speed v (m/s) and constant deceleration a (m/s²), compute stopping distance Remember: d = v² / (2a)

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Gather primes
A book titled Gather that I regularly see inspired this game: make as many words as possible from the letters in the word GATHER...

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Leo Bậc Thang
Bạn đang leo cầu thang. Cần n bước để lên đến đỉnh. Mỗi lần bạn có thể leo 1 hoặc 2 bước. Hỏi có bao nhiêu cách khác nhau để le...

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Find nth triangular number.
Calculate the triangular number of given integer n.

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Find record values in a sequence
Write a function to find the record values in a sequence—that is, the largest values seen since the start. For example, if the s...

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