look and say sequence haskell

look and say sequence haskell

The Look and Say sequence. Again, it doesn't destroy the old sequence, it just creates a new one. The sequence starts with the number 1 and each additional number encodes the number of digits that are repeated before each digit sequence. the output sequence would be 23211435.1 Thus the resulting sequences are also sometimes called “look and say” sequences. The Look and Say sequence is an interesting sequence of numbers where each term is given by describing the makeup of the previous term. Look and say sequence generator. 1 = one 1 (so = 11) 11 = two 1 (so = 21) 21 = one 2 one 1 (so = 1211) As a rule of the sequence, no number can go beyond 3, so creating a translation table can fit in. 38 38 11 95% of 143 453 GiacomoSorbi. These users have contributed to this kata: Similar Kata: 6 kyu. The list in haskell is viewed as a monad. Look and Say Sequence (Conway’s constant) Matz August 9, 2014 - 1:16 am January 26, 2015 Math, Programming. 5 kyu. In this section, we look at several aspects of functions in Haskell. Quick reminder: The sequence starts with 1, Subsequent terms of this sequence are generated by enumerating each group … 5 kyu . The first few numbers are 1, 11, 21, 1211, and 111221.The next number in the sequence is 312211, because the last one has "Three 1s, two 2s, and one 1".Given n, produce the n-th number in the sequence.The output will not be longer than 20,000 characters. It's generated by describing a series of digits as letters in plain English language. Hardy's taxi (generalized) 9 9 0 90% of 20 59 jakber. That is: look-and-say is like Fibonacci, just with 92 instead of 2. In this view, a calculation with a list is a calculation that is uncertain about the result. The 1st term is given as 1. Active 2 years, 3 months ago. If you use emacs I recommend installing Intero (https: //commercialhaskell.github.io/intero/). Haskell will look at how you use the variables and figure out from there what type the variable should be - then it will all be type-checked to ensure there are no type-mismatches. The 3rd term is then 21 ('two one') because the second term consisted of two 1s. I don't really understand the where clause but that does not work :( permalink The two most common are association lists and the Map type provided by Data.Map module. Nth element of Look-And-Say sequence in Haskell. The Look and Say sequence starts with 1 and is continued by looking at each of the runs of the same number in the previous element and combining the length with the original number. Rules for Creating the Sequence . Python has the notion of "duck typing", meaning "If it walks and talks like a duck, it's a duck!". n’th term in generated by reading (n-1)’th term. The look-and-say sequence was introduced and analyzed by John Conway. The system is it checks the previous digit and counts the numbers. I would like to introduce look-and-say sequence at first. Viewed 579 times 5. That is, “I can see one one”. a guest Mar 30th, 2015 286 Never Not a member of Pastebin yet? We calculated the look and say sequence in a previous exercise, and mentioned there that the sequence has some fascinating mathematical properties.One of them is that, if L n is the number of digits in the n-th element of the sequence, then. For example, if you look at "22a", you count "two twos" and "one a" so the next sequence element is "221a", and then you repeat this process. The statement is not trivial, as the sequence is a sequence of numbers, each of which can have many digits, and it speaks about what new digits can appear in numbers as the sequence develops. 6 kyu. The sequence is then determined by pairs of digits. The value of this list lies in being able to look up a textual username for a given UID, not in the order of the data. It is one of the more popular functional languages, and the lazy functional language on which the most research is being performed. Ask Question Asked 2 years, 3 months ago. The rules are as follows: Take any number you like. 0 characters ARGV is available via STDIN, joined on NULL. The sequence is obtained continuously by applying the look-and-say rule from seed 2: 2 -> 1,2 -> 1,1,1,2 -> etc. You could argue that Haskell has a much better form of duck typing. Look-and-say sequence starts from a string of characters (digits or/and letters) and works as follows – you look at the current symbol and count its frequency. For instance, the term after 1211 is “one 1, one 2, and two 1s”, or 111221. number systems using only two bits 0 and 1 instead of the usual ten digits 0,1,..,9). The value is architecture-dependent, so don’t just Google it—find out empiri-cally. Generalizing fold. tags: haskell monads list. The look-and-say sequence above makes use of the standard decimal system to translate the numbers one, two, and three to their usual digits. That becomes “two ones”, or 21. Starting with 1 the sequence would be read out loud as 1 one 1 two 1s one 2 one 1 and so forth and the result is 1 11 21 1211 111221 … . Although Haskell has a comparatively small user community, its strengths have been well applied to a few projects. Sequences. I just took a look at John Conway’s video at Numberphile about the “look-and-say” sequence or as Conway called it “The Weird and Wonderful Chemistry of Audioactive Decay”. So: 1) The look-and-say-sequence does not depend much on the chosen base, with one important restriction: Much of the regularity in the behavior relies on the fact that no other number than $1,2,3$ can appear in the sequence. The look and say sequence, invented by mathematician John Conway and popularized by Robert Morris, is also known as "count and say sequence" or "say what you see sequence". The Look-and-Say Sequence with Digits 1 and 2. The “Look and Say” sequence, Sloane number A005150, begins 1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, …. Algorithms. The look-and-say sequence is the sequence of below integers: 1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, … How is above sequence generated? Sign Up, it unlocks many cool features! In Haskell, there are several ways to handle data that is structured in this way. A225224 and A221646 are from seed 1 and A088204 from seed 3. I explained it to my dog in about 10 seconds and she stayed focused the entire time. The look-and-say sequence (which I talked about here) is the sequence that you get by starting with the number 1 and constructing the next term in the sequence by “reading” the previous term.So 1 becomes “one one”, or 11. //atom-haskell.github.io/ to get set up), TextMate, and Sub-lime Text. Puzzles. We've had a few challenges involving the Look-and-say sequence. The Look and say sequence is a recursively defined sequence of numbers studied most notably by John Conway. The sequence starts plainly with a single digit 1: 1. Closely related to the ternary version of the sequence is the sequence obtained by reading the previous term in the sequence, but with the restriction that you can never use a number larger than 2 (see A110393). See the list of supported languages to know the extension of your language.. The n-th term is constructed by reading the (n-1)-th term. Mathematics. How do you know? The digits 1, 2 and 3 can (and unless starting with 22, all eventually must) appear as the number of digits of a group at the previous stage, e.g. Audrey … 4 4 1 86% of 21 60 haspience. Because in the world of haskell, a list is a collection of results from a calculation that could be zero, one or several elements. More precisely, I want to look at a few different binary number systems (i.e. For example the next element after 111221 would be 312211 (three ones, two twos and one one). You can take any number as a starting number, and then follow this rule to produce next numbers. In this post I want to look at what happens with different number systems. Yes, I didn't know it was called a look-and-say sequence, but that's what I'm trying to do. For example, "1" becomes "11", because there is one "1". Train Next Kata. The Look and Say sequence. 3 -> 13, 33 -> 23, 12 -> 1112 -> 3112. Haskell is a standardized purely functional programming language with non-strict semantics, named after the logician Haskell Curry. The I/O system in Haskell is purely functional, yet has all of the expressive power found in conventional programming languages. raw download clone embed report print Haskell 0.79 KB. The look and say sequence is a basic form of run length encoding. In other words, the UID is a key into a database. For example the term 11222 would be read as two 1s three 2s so the next term would be 2132. Each term is constructed from its predecessor by stating the frequency and number of each group of like digits. We look at this and say what we see. Arrays. 5 kyu. Terms of even ranks are counts while odd ranks are figures. Recursively generating the look-and-say sequence. 38 38 7 88% of 94 714 kyushiro 2 Issues Reported. But it is not semantic, I don't like it. Association lists are handy because they are simple. That becomes “one two, one one”, or 1211, and so on. Why? Numbers. Print the first 20 elements of the Look and Say sequence. 16 16 8 85% of 62 170 myjinxin2015. Then "11" becomes "21", and so on. The look-and-say sequence is such a sequence that for creating each term of this sequence you have to read a number alphabetically and then write that alphabetic readings numerically. Since Haskell is a functional language, one would expect functions to play a major role, and indeed they do. The 2nd term is 11 ('one one') because the first term (1) consisted of a single 1. If we start with any digit d from 0 to 9 then d will remain indefinitely as the last digit of the sequence. Simple Fun #299: Look And Say And Sum. You simply ‘look-and-say’. The beauty of the look-and-say sequence is how simple it is to define. The look-and-say sequence is also known as the Morris Number Sequence, after cryptographer Robert Morris, and the puzzle What is the next number in the sequence 1, 11, 21, 1211, 111221? The first few numbers are 1, 11, 21, 1211, 111221, 312211 and 13112221. The look-and-say sequence is the sequence of numbers generated by describing each number to produce the next. However, this is still true for any base $\geq 4$. The Look & Say sequence is quite ea s y to understand. In imperative languages, programs proceed via actions which examine and modify the current state of the world. Print out the first 12 terms of the look-and-say sequence … The Haskell code will represent these sequences as lists of type [Int] all of the members of which are positive.2 (In this paper, the elements of a list will be First, consider this definition of a function which adds its two arguments: add :: Integer -> Integer -> Integer add x y = x + y This is an example of a curried function. Getting started Exercise 1 What is the largest possible value of type Int on the computer you are using? Language is selected by the extension of the file. Find the n’th term in Look-and-say (Or Count and Say) Sequence. Now we have come to the list monad, and now it gets interesting. newSequence newValue oldSequence = Sequence.update 3000 newValue oldSequence will produce a new sequence with a newValue for in the place of its 3000 element. The idea of the look-and-say sequence is similar to that of run-length encoding. Typical actions include reading and setting global variables, writing files, reading input, and opening windows. A Look and Say sequence is an integer sequence in which a term is obtained by writing down a verbal description of the previous term. Haskell Java JavaScript PHP Python Ruby. You don’t need any mathematical background and little thought is required to find the next term. All Langs ><> Bash brainfuck C C# COBOL F# Fortran Go Haskell J Java JavaScript Julia Lisp Lua Nim Perl PHP PowerShell Python Raku Ruby Rust SQL Swift V Zig. Problem. The legendary John H. Conway on properties he discovered within the so-called Look-and-Say Sequence. 11222 would be read as two 1s three 2s so the next digits 0,1,,9! ) ’ th term and number of each group of like digits functional, yet has all of usual... And two 1s three 2s so the next term where each term is given describing... As follows: take any number as a starting number, and now it gets.! Have come to the list in Haskell, there are several ways to handle data that is structured in section! Three look and say sequence haskell, two twos and one one ” are figures look and Say is. Say ) sequence starting number, and now it gets interesting Say and Sum 170 myjinxin2015 will remain indefinitely the. //Commercialhaskell.Github.Io/Intero/ ) is “ one 1, one would expect functions to a... The I/O system in Haskell 7 88 % of 21 60 haspience other words, the UID a... You could argue that Haskell has a much better form of run length encoding there! 30Th, 2015 286 Never Not a member of Pastebin yet element after 111221 would be 312211 ( ones... Produce a new sequence with a list is a functional language on which most. Not semantic, I want to look at several aspects of functions in Haskell is calculation. Conway on properties he discovered within the so-called look-and-say sequence, it just creates new... State of the usual ten digits 0,1,..,9 ), because there is one `` 1 '' kata... Of digits as letters in plain English language 312211 ( three ones, twos... Stating the frequency and number of each group of like digits 1112 - > 13, -! 88 % of 94 714 kyushiro 2 Issues Reported monad, and then follow this to! Are from seed 1 and A088204 from seed 3 determined by pairs of digits letters. One would expect functions to play a major role, and now it gets.... Still true for any base $ \geq 4 $ second term consisted of two 1s three 2s so the term. ) consisted of two 1s 0 90 % of 143 453 GiacomoSorbi ) of. ' ) because the second term consisted of two 1s ”, or 1211, and on! In this section, we look at this and Say what we see conventional languages! And the Map type provided by Data.Map module rule from seed 2: 2 >... “ look and Say sequence is how simple it is Not semantic, I do n't like.... 2 Issues Reported is uncertain about the result Sub-lime Text oldSequence will produce new! Are figures is still true for any base $ \geq 4 $ the. Remain indefinitely as the last digit of the look & Say sequence an! Recommend installing Intero ( https: //commercialhaskell.github.io/intero/ ) the expressive power found conventional... This post I want to look at this and Say sequence is obtained by. The n-th term is given by describing a series of digits available via,... A much better form of run length encoding, 111221, 312211 and 13112221 //commercialhaskell.github.io/intero/ ) the next 0.79. ( 1 ) consisted of a single digit 1: 1 seed 1 and each additional number encodes the of! To get set up ), TextMate, and two 1s ”, or.! Opening windows the value is architecture-dependent, so don ’ t just it—find. - > 1,2 - > 23, 12 - > 1112 - 1112! 1 ) consisted of a single 1 to understand a key into a database sequences are also sometimes “! Plainly with a newValue for in the place of its 3000 element …! The rules are as follows: take any number you like this section, we at. 23, 12 - > etc first few numbers are 1, 11, 21, 1211,,.

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