June 2018 Update

This commit is contained in:
Ingy döt Net 2018-06-22 20:57:24 +00:00
parent ba8067c3b7
commit 22f33d4004
5278 changed files with 84726 additions and 14379 deletions

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@ -23,5 +23,5 @@
)
)
& solution$(.!people)
| { After outputting all solutions, the lhs of the | operator fails. The rhs of the | operator, here an empty string, is the final result. }
| { After outputting all solutions, the lhs of the | operator fails. The rhs of the | operator, here an empty string, is the final result. }
);

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using System;
using System.Collections.Generic;
using static System.Linq.Enumerable;
static class Program
{
enum Tenants { Baker = 0, Cooper = 1, Fletcher = 2, Miller = 3, Smith = 4 };
static void Main()
{
var count = Enum.GetNames(typeof(Tenants)).Length;
var top = count - 1;
var solve =
from f in Range(0, count).Permutations()
let floors = f.ToArray()
where floors[(int)Tenants.Baker] != top //r1
where floors[(int)Tenants.Cooper] != 0 //r2
where floors[(int)Tenants.Fletcher] != top && floors[(int)Tenants.Fletcher] != 0 //r3
where floors[(int)Tenants.Miller] > floors[(int)Tenants.Cooper] //r4
where Math.Abs(floors[(int)Tenants.Smith] - floors[(int)Tenants.Fletcher]) !=1 //r5
where Math.Abs(floors[(int)Tenants.Fletcher] - floors[(int)Tenants.Cooper]) !=1 //r6
select floors;
var solved = solve.First();
var output = Range(0,count).OrderBy(i=>solved[i]).Select(f => ((Tenants)f).ToString());
Console.WriteLine(String.Join(" ", output));
Console.Read();
}
public static IEnumerable<IEnumerable<T>> Permutations<T>(this IEnumerable<T> values)
{
if (values.Count() == 1)
return values.ToSingleton();
return values.SelectMany(v => Permutations(values.Except(v.ToSingleton())), (v, p) => p.Prepend(v));
}
public static IEnumerable<T> ToSingleton<T>(this T item) { yield return item; }
}

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using Combinatorics
function solve(n::Vector{<:AbstractString}, pred::Vector{<:Function})
rst = Vector{typeof(n)}(0)
for candidate in permutations(n)
if all(p(candidate) for p in predicates)
push!(rst, candidate)
end
end
return rst
end
Names = ["Baker", "Cooper", "Fletcher", "Miller", "Smith"]
predicates = [
(s) -> last(s) != "Baker",
(s) -> first(s) != "Cooper",
(s) -> first(s) != "Fletcher" && last(s) != "Fletcher",
(s) -> findfirst(s, "Miller") > findfirst(s, "Cooper"),
(s) -> abs(findfirst(s, "Smith") - findfirst(s, "Fletcher")) != 1,
(s) -> abs(findfirst(s, "Cooper") - findfirst(s, "Fletcher")) != 1]
solutions = solve(Names, predicates)
foreach(x -> println(join(x, ", ")), solutions)

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perm: {x@m@&n=(#?:)'m:!n#n:#x}
filter: {y[& x'y]}
reject: {y[& ~x'y]}
adjacent: {1 = _abs (z?x) - (z?y)}
p: perm[`Baker `Cooper `Fletcher `Miller `Smith]
p: reject[{`Cooper=x[0]}; p]
p: reject[{`Baker=x[4]}; p]
p: filter[{(x ? `Miller) > (x ? `Cooper)}; p]
p: reject[{adjacent[`Smith; `Fletcher; x]}; p]
p: reject[{adjacent[`Cooper; `Fletcher; x]}; p]
p: reject[{(x ? `Fletcher)_in (0 4)}; p]

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local wrap, yield = coroutine.wrap, coroutine.yield
local function perm(n)
local r = {}
for i=1,n do r[i]=i end
return wrap(function()
local function swap(m)
if m==0 then
yield(r)
else
for i=m,1,-1 do
r[i],r[m]=r[m],r[i]
swap(m-1)
r[i],r[m]=r[m],r[i]
end
end
end
swap(n)
end)
end
local function iden(...)return ... end
local function imap(t,f)
local r,fn = {m=imap, c=table.concat, u=table.unpack}, f or iden
for i=1,#t do r[i]=fn(t[i])end
return r
end
local tenants = {'Baker', 'Cooper', 'Fletcher', 'Miller', 'Smith'}
local conds = {
'Baker ~= TOP',
'Cooper ~= BOTTOM',
'Fletcher ~= TOP and Fletcher~= BOTTOM',
'Miller > Cooper',
'Smith + 1 ~= Fletcher and Smith - 1 ~= Fletcher',
'Cooper + 1 ~= Fletcher and Cooper - 1 ~= Fletcher',
}
local function makePredicate(conds, tenants)
return load('return function('..imap(tenants):c','..
') return ' ..
imap(conds,function(c)
return string.format("(%s)",c)
end):c"and "..
" end ",'-',nil,{TOP=5, BOTTOM=1})()
end
local function solve (conds, tenants)
local try, pred, upk = perm(#tenants), makePredicate(conds, tenants), table.unpack
local answer = try()
while answer and not pred(upk(answer)) do answer = try()end
if answer then
local floor = 0
return imap(answer, function(person)
floor=floor+1;
return string.format(" %s lives on floor %d",tenants[floor],person)
end):c"\n"
else
return nil, 'no solution'
end
end
print(solve (conds, tenants))

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names = unlist(strsplit("baker cooper fletcher miller smith", " "))
test <- function(floors) {
f <- function(name) which(name == floors)
if ((f('baker') != 5) &&
(f('cooper') != 1) &&
(any(f('fletcher') == 2:4)) &&
(f('miller') > f('cooper')) &&
(abs(f('fletcher') - f('cooper')) > 1) &&
(abs(f('smith') - f('fletcher')) > 1))
cat("\nFrom bottom to top: --> ", floors, "\n")
}
do.perms <- function(seq, func, built = c()){
if (0 == length(seq)) func(built)
else for (x in seq) do.perms( seq[!seq==x], func, c(x, built)) }

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> do.perms(names, test)
From bottom to top: --> smith cooper baker fletcher miller
> system.time(do.perms(names, test))
From bottom to top: --> smith cooper baker fletcher miller
user system elapsed
0 0 0

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N = %w(Baker Cooper Fletcher Miller Smith)
b,c,f,m,s = N
N.permutation.map{|a| a.join " "}.
grep(/(?=.*#{b}.)
(?=.+#{c})
(?=.+#{f}.)
(?=.*#{c}.*#{m})
(?=.*(#{f}..+#{s}|#{s}..+#{f}))
(?=.*(#{f}..+#{c}|#{c}..+#{f}))/x).
first