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Rotation Matrix to Euler Angles
Given a rotation matrix, generate the Euler Angles as output [phi,theta,psi]. [phi is a rotation around X-axis, theta is rotatio...

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Fun with matrix
Design a sample matrix as given in the test cases

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Easy Sequences 71: A Nonlinear Function with Quadratic Domain
Consider the function: The outputs of this function are fed as domain to another function: ...

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Quaternions to Rotation Matrices
Given a matrix of Quaternions (along the rows), output a 3D matrix of Rotation Matrices.

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Easy Sequences 70: Inflection Points of Binomial Product Function
Inflection points are points along the graph curve of a function, where the curvature of the curve changes from concave to conve...

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Easy Sequences 69: Radix Economy of Factorials
The Radix Economy of a number in a particular base is the number of digits needed to express it in that base, multiplied by the ...

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Convert a given Character to its decimal equivalent value
Convert a given character to its decimal equivalent value according to the ascii table. if x = '!'; y = 33; if x = 'u'; ...

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Magical Land
Mother Earth has gifted humanity a magical land to help all life on earth, in the shape of a n-sided regular polygon. You, bein...

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Which Char Array has the greater decimal value
Given to character arrays, determine which array has the greater decimal value. 'Hello' --> 72 + 101 + 108 + 108 + 111 = 500 ...

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Generate Bernoulli polynomials
The Bernoulli polynomial is a polynomial of order with the properties that and for , where the prime denotes differentiat...

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increasing sequences
Given a string of digits, insert commas to create a sequence of strictly increasing numbers so as to minimize the magnitude of t...

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Number of leaps in binary search
Binary search is one of the most popular searching algorithms (Binary Search Algorithm). It works only in a sorted array. It uti...

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Chain multiplication - 04
Following up on the problem in 55305, you found the optimal way to multiply a chain of matrices. However, here in this problem,...

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Chain multiplication - 03
Following up the problem in 55305, you found the minimum number of multiplications needed to multiply a chain of matrices. In ...

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Chain multiplication - 02
Following up on the problem in 55295, you found the number of multiplications needed to multiply two matrices. Now, you are giv...

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Cut the rod
A rod of length n can be cut in different sizes. Different price is associated with different length of cuts. length, len= [1,...

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Sort Non-zeros
Consider 0s in a vector creates a break-point. sort all the sub-arrays created by those break points. For example, a = [3, 4, 1...

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Chain multiplication - 01
Say, you are given two matrices - A (shape= 3*4) and B(shape = 4*5). If you multiply these two matrices, the resultant matrix w...

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Count estrangements
Recently I made a puzzle for my wife that included a cryptogram, which involves an arrangement of the letters A through Z. I use...

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Determine whether one vector is a subset of another
While bumbling through a pair of problems in the Number Theory group, I wrote code to determine whether a vector is a subset of ...

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Cyclotomic polynomial
Given a Natural number (N), return the corresponding Cyclotomic Polynomial.

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Parametric Array
Create a row vector, 1xN (Integer, >1), such that the mean of the vector is M (Real number) and the standard deviation of the ...

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List the semiprimes
A semiprime number—or a 2-almost prime—is the product of two prime numbers. The numbers and are semiprimes, but and are not....

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Nuemann Polynomials
Return the coefficients of nth (n>=0) Nuemann polynomial, (a sequence in 1/t) as polynomials in alpha. The expected output is a...

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Scorer's Function
Evaluate the Scorer's function for a given input. The expected output is Gi(x). Note - The precision will vary for test cases...

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B-Zuckerman Numbers
Similar to my last problem (B_Harshad Numbers), B-Zuckerman Numbers are numbers that are divisable by the product of their digit...

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B-Harshad Numbers
Determine (and provide as output in decimal form) all the harshad numbers base B (B-Harshad) from a given array of decimal numbe...

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Distance walked 1D
Suppose you go from position 7 to 10 to 6 to 4. Then you have walked 9 units of distance, since 7 to 10 is 3 units, 10 to 6 is 4...

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Consecutive Pairs of Smooth Numbers from Set of Prime Numbers
Given an input set of prime numbers (p), generate all pairs of consecutive smooth numbers (x) (see Stormer's Theorem). For exam...

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Trap a knight
Consider a knight on an infinite chessboard labeled with numbers spiraling outward. A knight starting on the square labeled 1 ca...

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