# HackerRank Functional Challenges

## A collection of 28 posts Free Post
HackerRank Functional Challenges

## HR F#: Functions and Fractals: Sierpinski triangles

The problem of drawing the Sierpinski triangles is considered to be advanced problem and it really is. The Sierpinski triangle is a fractal, constructed by recursively subdividing equilateral triangles into Free Post
HackerRank Functional Challenges

## HR F#: Pascal's Triangle

The second problem from the Recursive subdomain is printing Pascal's Triangle for given n. Pascal's triangle is named after famous French mathematician from XVII century, Blaise Pascal. His findings on

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HackerRank Functional Challenges

## HR F#: Computing the GCD

The greatest common divisor (or GCD) of two integers is the largest positive integer that divides two of these integers. The first of the Recursion problems on the Functional track at Hackerrank is computing the GCD using the Euclidean Algorithm. In this algorythm the

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HackerRank Functional Challenges

## HR F#: Compute the Area of a Polygon

This is the last from the introductional problems in the Functional Programming domain on Hackerrank. This also might be most complicated among the introductionary problems: You are given the cartesian coordinates of a set of points in a 2D plane. When traversed sequentially, these

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HackerRank Functional Challenges

## HR F#: Compute the Perimeter of a Polygon

The problem of computing perimeter of the polygon is one of the easy problems, but it requires a bit more programming. You are given the cartesian coordinates of a set of points in a 2D plane. When traversed sequentially, these points form a Polygon,

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HackerRank Functional Challenges

## HR F#: Functions or Not?

The Functions or Not? problem is defined as follows: You are given a set of unique (x, y) ordered pairs constituting a relation. For each of these relations, identify whether they may possibly represent a valid function or not. On a new line for

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HackerRank Functional Challenges

## HR F#: Lambda Calculus - Evaluating Expressions #4

This problem just checks how well you have got the idea of Church encoding while solving the previous problem. Compute the value of λx.λy.x(xy). Just by looking at the definition of the Church numerals it is easy to see that this

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HackerRank Functional Challenges

## HR F#: Lambda Calculus - Evaluating Expressions #3

Although the Lambda Calculus - Evaluating Expressions #3 is probably the most simple of all the functional problems on Hackerrank (it is quite easy to solve it and even more easy to guess the right answer), it references the precious gem of the functional

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HackerRank Functional Challenges

## HR F#: Lambda Calculus - Evaluating Expressions #2

The first λ-calculus evaluating expression problem was very easy. The second one is similar: Compute the value of (λx.x+1)((λy.y+2)3). Just to make a bit more fun from it, let's solve it by writing the code in F#: (fun

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HackerRank Functional Challenges

## HR F#: Lambda Calculus - Evaluating Expressions #1

The next set of problems are about performing calculations with λ-functions. The first one is to check that the reader is confident with mixing λ-calculus and algebraic operators: Compute the value of (λx.x + 1) 3 Let's use β-reduction on this expression: (λx.x

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HackerRank Functional Challenges

## HR F#: Lambda Calculus - Reductions #4

The last one from reduction problems is following: Reduce the following expression, using the beta-rule, to no more than one term. If the expression cannot be reduced, enter "CAN'T REDUCE". (λg.((λf.((λx.(f(xx)))(λx.(f(xx)))))g)) Well, now I

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HackerRank Functional Challenges

## HR F#: Lambda Calculus - Reductions #3

The third λ-calculus problem is a bit more advanced (although still simple): Reduce the following expression, using the beta-rule, to no more than one term. If the expression cannot be reduced, enter "CAN'T REDUCE". ((λx.(x x)) (λx.(x x))) "beta-reduction&

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HackerRank Functional Challenges

## HR F#: Lambda Calculus - Reductions #2

The second λ-calculus problem is following: Reduce the following to no more than one term. If the expression cannot be reduced, enter "CAN'T REDUCE". ((λx.((λy.(x y)) x)) (λz.w)) Let's reduce the expressions: Framing parentheses are not required: (λx.((λy.

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HackerRank Functional Challenges

## HR F#: Lambda Calculus - Reductions #1

The Lambda Calculus - Reductions #1 is rather unusual. Instead of submitting the code, the required submission is a shortening of the lambda-expression. Reduce the following expression to no more than one term. ... ((λx.(x y))(λz.z)) There is a nice introduction to

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