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Mathematical formula
Find the value of the expression given the values of variables t and k. Assume g=9.81

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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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Solutions to Generalized Pell Equation or Quadratic Diophantine
The generalized Pell equation is of the form: . Given D and N as inputs, output the first 50 positive integer solutions [x, y] s...

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Convert Periodic Continued Fraction to Fractional Radical Representation
Every periodic continued fraction can be prepresented by a number of the form where p, q, and d are all integers with d>0, , an...

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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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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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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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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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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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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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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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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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Sequence
Let S be a sequence of numbers Let Find for some , where and . Update - test suite cleaned up on 2-9-22

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Momentum Calculation
A shopping cart of mass 'm1' is traveling with velocity 'u' and collides with a second shopping cart of mass 'm2.' The two shopp...

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Ridge regularized linear regression
Given a predictor data matrix of size , target variable vector of size and a shrinkage factor (scalar) (ridge regularization...

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Find all prime factors of the input
Given an input x, find its all prime factors. Return the vector with all factors in ascending order. Efficiency is the key here...

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Find distance travelled by an object starting from rest in time 't' and linear acceleration 'a' = 3t
Find distance travelled by an object starting from rest in time 't' with linear acceleration a = 3t. You are given time t as an ...

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Sum of 2 numbers in array
Given an array and a target sum, return true if any 2 numbers in the array sum up to the given target sum. Both numbers cannot h...

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Draw 'W'
For any given n, return a matrix of height n and width 4n-3 containing a W of ones. Example: n=2 ans= [1 0 1 0 1 0 1 0 1 0...

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Draw a triangle of ones
For any given n, return a matrix that includes a triangle of ones of height n: Example n = 3 output = [0,0,1,0,0 ...

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Minimum number of children to distribute unequal cookie portions
A cruel parent wants to distribute N cookies such that it is impossible for every child to receive the same number of cookies. W...

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Mix it up!
Given an input string S, return a new string B, that is created by taking one character from the front and then the end iterativ...

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Caesar Cipher Shift
Given a word and its encrypted version using the caesar cipher, find the shift used.

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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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Monty Python and the Holy Grail: Crossing the Bridge of Death
To cross the Bridge of Death, your function must return the numerical value for the airspeed velocity of an unladen swallow

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Draw a fancy '7' in a zero matrix!
Given a x-by-x matrix filled with zeros (x is odd and > 3). Use 7s to draw a number 7 into it! Like this: x = 5, y = 7 7 7 7 7...

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