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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...

30 days ago

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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...

1 month ago

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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...

1 month ago

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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...

1 month ago

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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 ...

1 month ago

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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...

1 month ago

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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...

1 month ago

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

1 month ago

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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;...

1 month ago

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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...

1 month ago

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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...

1 month ago

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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...

1 month ago

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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.

1 month ago

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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)

1 month ago

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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...

1 month ago

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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...

1 month ago

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

1 month ago

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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...

2 months ago

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[Mảng 1 Chiều Cơ Bản]. Bài 5. In phần tử
Cho mảng số nguyên A[] gồm N phần tử, nhiệm vụ của bạn là in ra các phần tử là số chẵn ở chỉ số chẵn, nếu mảng không tồn tại phầ...

2 months ago

Solved


Scaling vertically parabola by evaluating its area over an interval
Let p be a quadratic polynomial, with its axis of symmetry being the y-axis. Considering the vertical shift of its vertex to the...

2 months ago

Solved


[Mảng 1 Chiều Cơ Bản]. Bài 4. Lớn hơn, nhỏ hơn
Cho mảng số nguyên A[] gồm N phần tử và số nguyên X , hãy đếm xem trong mảng có bao nhiêu số lớn hơn X và bao nhiêu số nhỏ hơn X...

2 months ago

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[Mảng 1 Chiều Cơ Bản]. Bài 2. Trung bình cộng nguyên tố
Cho mảng số nguyên A[] gồm N phần tử, nhiệm vụ của bạn là tính trung bình cộng của các số là số nguyên tố trong dãy. Dữ liệu đảm...

2 months ago

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[Mảng 1 Chiều Cơ Bản]. Bài 1. Chẵn lẻ
Cho mảng số nguyên A[] gồm N phần tử, nhiệm vụ của bạn là đếm xem trong mảng có bao nhiêu số chẵn, bao nhiêu số lẻ, tổng các phầ...

2 months ago

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[Mảng 1 Chiều Cơ Bản]. Bài 3. Số nhỏ nhất
Cho mảng số nguyên A[] gồm N phần tử, hãy đếm xem trong mảng của bạn có bao nhiêu số có cùng giá trị nhỏ nhất. Ví dụ mảng A = {1...

2 months ago

Solved


Extract numbers using a decaying sieve
The Sieve of Eratosthenes is one method of determining primes. Starting with 2, one keeps 2 and removes 2x2, 3x2, 4x2, etc. Then...

2 months ago

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Scaling vertically functions
Given a real function by the 1×n array, x, of inputs and the 1×n array, y, of outputs, consider shifting vertically its graph by...

2 months ago

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FEN to Chess Board
Note: This problem is the reverse, or complement, of Problem 61144 - FEN Chess Notation. Given a FEN (Forsyth-Edwards Notation)...

2 months ago

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How Long is the Border Between Unitopia and Zerostan?
Two countries, Unitopia (denoted by ones) and Zerostan (denoted by zeros) are engaged in a long-standing dispute: how long is th...

2 months ago

Solved


Pascal's Pyramid - A Variation with an Arial View
Let's create a matrix of size N x N containing a Pascal's Triangle in each quadrant that diverges from the centre to form an ari...

2 months ago

Solved


Container With Most Water
You are given an integer array height . There are vertical lines drawn such that the two endpoints of the ith line are (i, 1) an...

2 months ago

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