# Pi Day: Determine if a list of words is correct Pilish

## Background

Though this is a bit late for Pi Day, I saw an article about Pilish and thought it would make a great challenge. Pilish is created by using a sequence of words where each word's length corresponds to a digit of pi.

Example from Wikipedia:

The following Pilish poem (written by Joseph Shipley) matches the first 31 digits of π:

But a time I spent wandering in bloomy night;
Yon tower, tinkling chimewise, loftily opportune.
Out, up, and together came sudden to Sunday rite,
The one solemnly off to correct plenilune.

## Rules

Again, from Wikipedia (emphasis mine):

In order to deal with occurrences of the digit zero, the following rule set was introduced (referred to as Basic Pilish):

In Basic Pilish, each word of n letters represents
(1) The digit n if n < 10
(2) The digit 0 if n = 10
Since long runs of small non-zero digits are difficult to deal with naturally (such as 1121 or 1111211), another rule set called Standard Pilish was introduced:

In Standard Pilish, each word of n letters represents
(1) The digit n if n < 10
(2) The digit 0 if n = 10
(3) Two consecutive digits if n > 10
(for example, a 12-letter word, such as "sleepwalking," represents the digits 1,2)

1,0 cannot combine to become 10, because that would ignore the one (zero already becomes ten).

No more than two consecutive digits will ever be combined. So no words will ever be more than 99 characters long.

## Challenge

Given a delimited string or list of words, and optionally a generator function or stream for the digits of pi, determine if the input is Incorrect, Basic, or Standard Pilish, with the output being some distinct value for each.

Code golf: shortest code wins.

The input parameter for pi can be a generator function that you create and pass into your function, or a builtin, or it could be a string of digits. The most digits of pi that could be required for an input of n words is 2*n, because no more than two digits can be "consumed" by a single word. So just don't worry about needing to create and golf a generating function for pi, since we already have that challenge. For testing purposes, you can also utilize the first million digits of pi.

Note that if it is valid Basic Pilish, then it's also valid Standard Pilish, but the output should be your value for Basic.

Words will only contain letters of upper and lowercase. Optionally, you may remove all non-letter and non-whitespace characters beforehand, so that I don't. becomes I dont, for example.

## Examples

Basic

yes

But I dont

But a time I spent wandering in bloomy night Yon tower tinkling chimewise loftily opportune Out up and together came sudden to Sunday rite The one solemnly off to correct plenilune

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Incorrect

Once upon a time

dimyristoylphosphatidylcholine


Contains a wrong number (bad is length 3, which is wrong):

But a time I spent wandering in bloomy night Yon tower tinkling chimewise loftily opportune Out up and together came sudden to Sunday rite The one solemnly off Somelongwordwithtwentyseven plenilune bad somethings


This one uses 10 in place of 1,0, where zero would become ten, essentially dropping a word of length 1:

Por s nWQQ H GUEKS hFCcYYxOz EX YFQrsF OMkuf ijd UyYWG ZuvNBpge WydvzJiRI WYLtKAY boFizSpzS arF hF Hpn dXqlelaa FChX fxfZgc ES SeSgUz FUmx yhN PQS eIfOrOYA KVO zF zxGldCZ XiavlOncx PYplF blNMIddJSJ wT PeDzHxUo QbGopvwB SQLL B LWkomacxr uObezXa V LUvvCt SJFUObdHt Wpc ZeVqfQFBA JQGJaFVPK cqm TeBMRMh BRoRe njfXyIBfzh


This dropped a zero, because it combined 09 into 9:

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Test case generator. I encourage you to generate a few more to test as you write your solution. I recommend setting chance = 1.0 for one Standard test.

Update (Mar 17, 2019): I fixed a bug with the test case generator where digits 0n would sometimes combine to become just n, dropping the zero. I moved the bugged "Standard" test case to be a test case for "Incorrect", and then I generated a new one for "Standard".

• Is there some limit to the number of places we must handle, or may we take an argument guaranteed to contain enough digits? (i.e. must we implement an algorithm for the necessary digits of pi as part of this challenge?) Mar 16 '19 at 18:58
• Do we need to output one of those 3 words, specifically? If so, I'd suggest instead that we be allowed to output any 3 distinct, consistent values. Mar 16 '19 at 19:11
• To @JonathanAllan's point, I'd suggest limiting it to the number of digits of pi in each languages pi built-in. Otherwise this becomes a chameleon challenge. Mar 16 '19 at 19:15
• @Shaggy I don't feel like that is a very good idea. Perhaps a better idea is for a second optional input which is a stream of the digits of pi. Mar 16 '19 at 19:56
• By the way, we do already have plenty of challenges related to calculating the digits of pi so, if that does turn out to be the core of this challenge, it's also going to be, in my book, a dupe. Mar 16 '19 at 20:09

# 05AB1E, 15 13 bytes

€gT0:©JÅ?®àg*


Thanks to @KirillL. for bringing to my attention that the input as a list of strings is allowed, saving 2 bytes by removing the split on spaces.

Takes the list of words as first input, and the PI-digits joined together to a single string as second input. Outputs 0 for incorrect; 1 for Basic; 2 for Standard.

Explanation:

€g            # Get the length of each word in the (implicit) input-list of string
T0:         # Replace all 10 with 0
©        # Store this list in the register (without popping)
J       # Join everything together
Å?     # Check if the (implicit) PI-input starts with this (1/0 for truthy/falsey)
®à   # Push the list from the register again, and pop and push its maximum
g  # Get the length of this maximum
* # And multiply it with the result from the check
# (after which the result is output implicitly)


# Java (JDK), 122 bytes

t->p->{int x=1,L,l;for(var s:t.split(" "))x=(l=s.length())==(L=p.get())|L<1&l>9?x:L*10+(L=p.get())==l&L*x>0?2:0;return x;}


Try it online!

Returns 1 for basic, 2 for standard and 0 for incorrect.

## Credits

• 122 bytes stupid huge TIO urls.. >.> Mar 19 '19 at 15:50
• @KevinCruijssen Thanks! Though I think the issue at hand is linked to the exceptional challenge ;) Mar 19 '19 at 16:02

_#[]=2
(p:q)#(w:x)|length w==10*0^p+p=min 2$q#x (p:r:q)#w|z<-p*10+r,z>10=min 1$(z:q)#w
_#_=0


Takes a list of integers (digits of pi) and a list of words. Returns 2 for Basic, 1 for Standard and 0 for Incorrect.

Try it online!

# Perl 6, 72 70 57 bytes

Saved a lot of bytes by realising that I don't have to support 10 in Standard Pilish

->\p{{(1+?(11>.all))*[*] .comb(/1<(0|\d/)Z==p}o*>>.chars}


Try it online!

Anonymous code block that takes input curried, like f(pi)(list) and returns 2 for Basic, 1 for Standard and 0 for invalid.

### Explanation:

->\p{                                                   }  # Anonymous code block taking pi
{                                       }o*           # Returning a code block
>>.chars   # That converts words to the length of each word
# Check if Basic if all numbers are below 11
.comb(         )     # Match
/1<(0          # Only the 0s of 10s
|\d/      # and all other digits
Z==p  # Zip equal each digit with pi
[*]                      # Are all digits equal?
(1+?(11>.all))*   # And multiply by 2 if all digits are below 11, else 1

• Just letting everyone know that a bug was found in the 4th standard test case. The generator and tests have been updated. Mar 17 '19 at 17:14

# JavaScript (ES6), 74 bytes

Takes input as (pi)(string), where $$\\pi\$$ is passed as a string of digits. Returns $$\0\$$ (basic), $$\1\$$ (standard) or $$\2\$$ (incorrect).

p=>s=>p.search(s.split .map(w=>(l=w.length,s|=l>10,l-10&&l)).join)?2:s


Try it online!

• Just letting everyone know that a bug was found in the 4th standard test case. The generator and tests have been updated. Mar 17 '19 at 17:13

# Python 2, 103 bytes

def f(s,p):M=[m*(m!=10)for m in map(len,s.split())];T=''.join(M);return[len(M)<len(T),0][p.find(T)<0]


Try it online!

Returns 0 for 'Incorrect', False for 'Basic', True for 'Standard'.

# Jelly, 16 bytes

ḲẈṣ⁵j0DF,Ɗe€¹Ƥ}S


A dyadic Link accepting a list of characters on the left and a list of digits of pi on the right which yields 0 if not Pilish,1 if Standard Pilish, or 2 if Basic Pilish.

Try it online!

### How?

ḲẈṣ⁵j0DF,Ɗe€¹Ƥ}S - Link: list of characters, C, list of integers (digits), P
Ḳ                - split C at spaces
Ẉ               - length of each
ṣ              - split at occurrences of:
⁵             -   literal ten
j0           - join with zeros
D          -    decimal lists  e.g. [3,1,41] -> [[3],[1],[4,1]]
F         -    flatten                      -> [3,1,4,1]
,        -    pair                         -> [[3,1,4,1],[3,1,41]]
}  - use right argument (P):
Ƥ   -   apply to prefixes:
¹    -     identity  i.e. prefixes of P
e€     - exist in? for each              -> [1,0]
S - sum                             -> 1

• Just letting everyone know that a bug was found in the 4th standard test case. The generator and tests have been updated. Mar 17 '19 at 17:13

# Ruby, 7065 59 bytes

->s,p{a=s.map &:size;p[/^#{a.join.gsub"10",?0}/]&&a.max<11}


Try it online!

Takes an array of words and a string of $$\\pi\$$ digits as input, returns:

Incorrect = nil, Standard = false, Basic = true

• Just letting everyone know that a bug was found in the 4th standard test case. The generator and tests have been updated. Mar 17 '19 at 17:13

# Kotlin, 101 bytes

{p,s->s.split(" ").map {it.length}.let{if(!p.startsWith(it.joinToString(""))null else it.max()!!>10}}


Returns null if it's Incorrect pilish, false if it's Basic, and true if Standard.

I really wish Kotlin had ternary operators or shortened function names

Try it online!

• Fails for once upon a time - must be null rather than false. Can be fixed by changing the condition from in to p.startsWith, though I don't know if any golfier fix is possible in Kotlin. Mar 18 '19 at 14:03
• Agh, thanks. Can’t believe I missed that