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Smallest n, for n! to have m trailing zero digits
For given positive integer n, its factorial often has many trailing zeros, in other words many factors of 10s. In order for n! t...

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Distance of the centroids of the balls
Given *n* balls of radius *r* and the vector *p (nx3)* with all position *(x,y,z)* of the balls, return the symmetric matrix *A ...

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Center of mass
Given a matrix M(m,n), where m is the number of vertices of the geometrical element and n is 2 or 3 (2D-plane figure or 3D-solid...

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Mechanical Advantage of a Gear Train
Calculate the mechanical advantage of a gear train. The mechanical advantage of a gear couple is given by MA = T_o/T_i where ...

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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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Kaprekar numbers
Test if the input is a Kaprekar number: <http://mathworld.wolfram.com/KaprekarNumber.html>. Return a logical true or false. ...

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Numbers on 7-segment
This is a 7-segment: _ |_| |_| It's a 3-by-3 char matrix.It has made by 3 characters: '_' , '|' and ' ' (space...

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Convert from Base 10 to base 5
Convert the input number from base 10 into base 5: for example: if a(in base 10)= 5 then a(in base 5)= 10

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Still more miles to go before I sleep
It's time for more odometer fun. Last problem, my car's odometer hit 56789. It's coming up on 111111 now, which (barring a maj...

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Pattern Sum
Write a function which receives two single digit positive integers, (k and m) as parameters and calculates the total sum as: k...

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Calculate the probability that at least two people in a group share the same birthday.
Calculate the probability that at least two people in a group share the same birthday. Given an integer input n, return to 0.015...

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The Birthday Phenomenon
First off, leap years are not being considered for this. In fact the year that people are born shouldn't be taken into considera...

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Number of digits in an integer
Specifies how many digits in a given integer. Example: in=100 ==> out=3

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Sum the Digits of a Number
Given an integer, sum the digits repeatedly until you end up with a single value less than 10. For example, if you add the di...

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Test if two numbers have the same digits
Given two integers _x1_ and _x2_, return |true| if the numbers written with no leading zeros contain the same digits. That is, t...

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Replace values out of an interval with the lower or upper values
For a vector or matrix X and an interval [n1,n2], the function replace every element of x inferior to n1 by n1, and every elemen...

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Binary Inversion
Given the unsigned 8-bit integer x, return the number y which is the binary inversion of x. For example if x is 5, y should b...

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Convert decimal to binary and then generate the minimum binary it can with jumbling
input is 10 --> 1010 output should be 3 --> 0011 input 23 --> 10111 output should be 15 --> 01111

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Number construction III
Given a positive integer, n, return a, b and c, such that 1. n = a^1.5+b^2.5+c^3.5 2. a, b and c are all positive integers...

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Number construction II
Given a positive integer, n, return a, b, c and d, such that 1. n = a*2^b+c*3^d 2. a, b, c and d are all positive integers...

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Number construction I
Given a positive integer, n, return a, b, c and d, such that 1. n = a*sqrt(b)+c*sqrt(d) 2. a, b, c and d are all positive ...

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Find the gcm of n given values
Create a function that given n integer values greater than zero, finds the two numbers with the greatest common divisor and retu...

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Convert integer to base26 using letters
Write a function that converts a decimal integer to base26 using the letters of the english alphabet, i.e. 0->'a', 1->'b', 2->'c...

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How to multiply?
* Imagine you are in 3012 Anno Domini, when everyone must learn how to multiply, * and competing for the highly prestigious pos...

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Infinite precision division
Develop a function that will divide a very very large integer numerator, supplied to function as a string (e.g., '12233344445555...

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Factorial

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Hexagonal numbers on a spiral matrix
Put hexagonal numbers in a ( m x m ) spiral matrix and return the sum of its diagonal elements. Formula of hexagonal numbers ...

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It's going down. We're finding simbers!
This problem is inspired by Project Euler 520: Simbers. "We define a simber to be a positive integer in which any odd digit, ...

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How to add?
* Imagine you are in 2222 Anno Domini, when everyone must learn how to add, * and competing for the highly prestigious post of,...

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calculate PI without using pi function
There are many methods to get the pi(Ratio of circumference to diameter). You should get pi without using the pi function in M...

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