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For the reason that no-computers tag wasn’t added, I wrote an algorithm using YAWL to show that;
the longest doable phrases are $6$ letters lengthy, and there are solely $5$ of them.
They’re;
dearns, heards, shoots, spared, and yeard.
Of those, solely:
shoots is taken into account “legitimate” as a result of hoots, soots, photographs (might be fashioned twice), shoos, and shoot are all legitimate phrases too.
I verified it as a legitimate “Scrabble” phrase utilizing this web site.
Though it did not depend, the one I discovered essentially the most fascinating was:
spared as a result of it is variants are; pared, sared, spred, spaed, spard, and spare. Most of those I’d have by no means regarded as legitimate phrases.
Enjoyable reality;
there are $201$ phrases that, with precisely one letter faraway from any place within the phrase, nonetheless varieties one other phrase in YAWL. There are fewer nonetheless that will be thought-about legitimate in a Scrabble dictionary (not considerably fewer, however I do not wish to search for 201 phrases by hand).
The algorithm I created labored by:
beginning with all phrases with $15$ letters (the longest doable phrase size in Scrabble) and eradicating $1$ letter from every index within the phrase. It then checked your complete $14$ letter thesaurus to see if all of those candidates have been contained inside it. This course of repeated all the way in which down via the $4$ letter thesaurus, which you proved by yourself may simply present a phrase.
For these , here is the C# code that powered my reply: [1]
utilizing System;
utilizing System.Collections.Generic;
utilizing System.Linq;
utilizing BruteForceDictionary;
static void Foremost(string[] args) {
Console.WriteLine("Beginning");
var lists = new Record<Record<string>>();
for (int i = 15; i > 3; i--) {
foreach (var phrase in WordLists.AllWords.The place(w => w.Size == i)) {
var phrases = ChaseWords(phrase);
if (phrases?.Depend > 0) {
lists.Add(phrases);
Console.WriteLine(string.Be part of(";", phrases));
}
else
Console.WriteLine($"No outcomes discovered for '{phrase}'.");
}
}
Console.WriteLine("Writing maximums.");
int max = lists.Max(m => m.Depend);
foreach (var checklist in lists.The place(w => w.Depend == max))
Console.WriteLine(string.Be part of(";", checklist));
Console.WriteLine("Performed");
Console.ReadKey();
}
public static Record<string> ChaseWords(string candidate) {
var strippedWords = GetVariants(candidate);
var nextSet = WordLists.AllWords.The place(w => w.Size == candidate.Size - 1);
if (strippedWords.All(a => nextSet.Any(n => n.Equals(a)))) {
strippedWords.Insert(0, candidate);
return strippedWords;
}
return null;
}
public static Record<string> GetVariants(string phrase) {
var consequence = new Record<string>();
for (int i = 0; i < phrase.Size; i++)
consequence.Add(phrase.Take away(i, 1));
return consequence;
}
Enjoyable puzzle!
1: The utilizing
directive for BruteForceDictionary
is offered by my private “onerous coded” model of YAWL, obtainable on my GitHub when you want it for copy functions.
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