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Right Triangle Side Lengths (Inspired by Project Euler Problem 39)
If p is the perimeter of a right angle triangle with integral length sides, { a, b, c }, there are exactly three solutions for p...
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Height of a right-angled triangle
Given numbers a, b and c, find the height of the right angled triangle with sides a and b and hypotenuse c, for the base c. If a...
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Calculate the height of an object dropped from the sky
Assume that an object is dropped from 1000 meters above the surface of the earth at time t=0. The object is dropped such that t...
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Energy of an object
Calculate the total mechanical energy of an object. Total Energy= Potential energy + Kinetic energy P.E.=m*g*h K.E.=1/2...
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Find out sum of prime number till given number
Find out sum of prime number till given number Example, if number is 10, then answer must be 17.
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Joining Ranges
You are given a n-by-2 matrix. Each row represents a numeric range, e.g. x = [0 5; 10 3; 20 15; 16 19; 25 25] contains...
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Spherical radius given four points
Determine the radius of a sphere provided four non-coplanar points on the surface of the sphere. pts = [x1 y1 z1; x...
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Volume and area of a sphere
Input(r) - radius Output([v,s]) - volume and area
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Counting Sequence
Given a vector x, find the "counting sequence" y. A counting sequence is formed by "counting" the entries in a given sequence...
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multiply by three
Given the variable x as your input, multiply it by 3 and put the result equal to y. Examples: Input x = 2 Output y is ...
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Back to basics - mean of corner elements of a matrix
Calculate the mean of corner elements of a matrix. e.g. a=[1 2 3; 4 5 6; 7 8 9;] Mean = (1+3+7+9)/4 = 5
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We love vectorized solutions. Problem 1 : remove the row average.
Given a 2-d matrix, remove the row average from each row. Your solution MUST be vectorized. The solution will be tested for ac...
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Add a row of zeros on top of a matrix
Given a matrix, insert a row of zeros as the top row.
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Area of a Square
Inside a square is a circle with radius r. What is the area of the square?
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Area of a triangle
A triangle is given with base *'b'* ,vertical hight *'h'* . then find it's area.
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Perfect Square or not
find Given input x is perfect square or not,if yes then output y=1.else y=0
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Sum of odd numbers in a matrix
Find the sum of all the odd numbers in a matrix. Example x = [2 3 5 7 1 4 11] y = 27
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Count photos
Given n people, everyone must have pictures taken with everyone, each photo includes only two persons, please count the total nu...
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Project Euler: Problem 2, Sum of even Fibonacci
Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...
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Fibonacci sequence
Calculate the nth Fibonacci number. Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... Examples: Input...
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Compute Farey sequences
Problem statement The Farey sequence of order consists of fractions between 0 and 1 expressed in reduced form in increasing or...
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Bullseye Matrix
Given n (always odd), return output a that has concentric rings of the numbers 1 through (n+1)/2 around the center point. Exampl...
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Taylor Series
You can use a Taylor series to approximate common functions. The Taylor series for sin(x) is Using only the first several te...
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Circumscribed circles
Given the lengths of the 3 sides of a triangle, output the radius of the circumscribed circle. Example: [3 4 5] -> 2.5
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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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Leap Year
According to Gregorian Calender(which is in use now, in many countries),decide whether a given year is a leap year or not. Give...
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