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Pell numbers
Find the nth pell number <https://en.wikipedia.org/wiki/Pell_number>

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Restricted Addition
Add two numbers without use of common arithmetic operations. Unfortunately, in order to enforce this restriction, other restrict...

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Tribonacci Sequence
Generate the tribonacci sequence upto n

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String count
given a string 'str', count the number of the followings - * letters * digits * white space * capital letters * smal...

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Tell your secret
A secret can be told only to 2 persons in 5 minutes. Now these 2 more persons can spread the secret to 4 other people. this way ...

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Aquiles y la tortuga
Contaba Zenón en su famosa paradoja que un día Aquiles, el guerrero griego más veloz de la Hélade, se enfrentó a una pequeña tor...

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Count digits
Count total number of digits from 1 to n. * n=13 * output=17 since from [1-9] total 9 digits.[10-13] total 4*2=8 digits.

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Linear system of equations
Solve the system of equations in three variables.

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String to Binary Representation
Given a string, convert it using UTF-8 into a binary array where each character or byte is arraigned low to high. For example: ...

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Binary Array to Hex Representation
Given a binary array of bytes (lsb to msb), convert it into a hexadecimal representation (msb to lsb). For example: Input: [1 ...

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How many Christmas presents under the tree?
For many families at Christmas, each family member gives 1 present to every other family member. The main exception is that chil...

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Check if number is a square number
Test if integer i is a square number. Return logical true if it is.

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Calculate Euler's phi function
Compute the Euler's phi function of a large integer. For more information about this topic please visit: <https://en.wikiped...

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An Ohm's Law Calculator
*BACKGROUND / MOTIVATION:* Many important observations in math and science can be described by short, but powerful, equations...

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Generate Golomb's sequence
Generate Golomb's sequence up to the given number. If n=4, then seq = [1, 2, 2, 3, 3, 4, 4, 4] If n=6, then s...

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generate the matrix
given 3 inputs e.g [2,3,4] -- generate a matrix like below -- [2 2 0 0 0 0 0 0 0; 2 2 0 0 0 0 0 0 0; 0 0 3 3 3 0 0 0 0; 0 0...

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Recurring Cycle Length (Inspired by Project Euler Problem 26)
Preface: This problem is inspired by <http://projecteuler.net/problem=26 Project Euler Problem 26> and uses text from that quest...

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Determine if input is a Narcissistic number
<http://en.wikipedia.org/wiki/Narcissistic_number Narcissistic number> is a number that is the sum of its own digits each raised...

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Determine if input is a perfect number
A <http://en.wikipedia.org/wiki/Perfect_number/ perfect number> occurs whent the sum of all divisors of a positive integer, exce...

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Numbers with prime factors 2, 3 and 5.
Make a function which takes one positive integer n and returns a matrix with the numbers of the form (2^i)*(3^j)*(5^k) which are...

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Calculating large fibonacci numbers
The fibonacci sequence starts 1,1,2,3,5,8... Find the the n'th fibonacci number. Then calculate round(log10( . )) of that n't...

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cofactor matrix
given a matrix, find its cofactor matrix https://en.wikipedia.org/wiki/Minor_(linear_algebra)#Inverse_of_a_matrix

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Project Euler: Problem 4, Palindromic numbers
A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 ...

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Project Euler: Problem 3, Largest prime factor
The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number being input, input might be ui...

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Remove duplicated triangles
Input T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a correspondi...

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Bell Triangle
Form the bell triangle upto nth bell number posotion; if n=5, then y= [1 0 0 0 0; 1 2 0 0 ...

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How to find the position of an element in a vector without using the find function
Write a function posX=findPosition(x,y) where x is a vector and y is the number that you are searching for.

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find nth even fibonacci number
1st even fibonacci number=2 ; 2nd even fibonacci number=8 ..

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Adjoint matrix
given a matrix a, find the adjoint matrix of a.

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generate the matrix
given a value n (say 4) - generate the matrix like below; y= [0 1 2 3 4; -1 0 1 2 3; ...

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