langs a-z

This commit is contained in:
Ingy döt Net 2013-04-10 22:43:41 -07:00
parent db842d013d
commit d066446780
11389 changed files with 98361 additions and 1020 deletions

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let longest xs ys = if List.length xs > List.length ys then xs else ys
let rec lcs a b = match a, b with
[], _
| _, [] -> []
| x::xs, y::ys ->
if x = y then
x :: lcs xs ys
else
longest (lcs a ys) (lcs xs b)

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let lcs xs' ys' =
let xs = Array.of_list xs'
and ys = Array.of_list ys' in
let n = Array.length xs
and m = Array.length ys in
let a = Array.make_matrix (n+1) (m+1) [] in
for i = n-1 downto 0 do
for j = m-1 downto 0 do
a.(i).(j) <- if xs.(i) = ys.(j) then
xs.(i) :: a.(i+1).(j+1)
else
longest a.(i).(j+1) a.(i+1).(j)
done
done;
a.(0).(0)

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let list_of_string str =
let result = ref [] in
String.iter (fun x -> result := x :: !result)
str;
List.rev !result
let string_of_list lst =
let result = String.create (List.length lst) in
ignore (List.fold_left (fun i x -> result.[i] <- x; i+1) 0 lst);
result

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declare
fun {LCS Xs Ys}
case [Xs Ys]
of [nil _] then nil
[] [_ nil] then nil
[] [X|Xr Y|Yr] andthen X==Y then X|{LCS Xr Yr}
[] [_|Xr _|Yr] then {Longest {LCS Xs Yr} {LCS Xr Ys}}
end
end
fun {Longest Xs Ys}
if {Length Xs} > {Length Ys} then Xs else Ys end
end
in
{System.showInfo {LCS "thisisatest" "testing123testing"}}

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Program LongestCommonSubsequence(output);
function lcs(a, b: string): string;
var
x, y: string;
lenga, lengb: integer;
begin
lenga := length(a);
lengb := length(b);
lcs := '';
if (lenga > 0) and (lengb > 0) then
if a[lenga] = b[lengb] then
lcs := lcs(copy(a, 1, lenga-1), copy(b, 1, lengb-1)) + a[lenga]
else
begin
x := lcs(a, copy(b, 1, lengb-1));
y := lcs(copy(a, 1, lenga-1), b);
if length(x) > length(y) then
lcs := x
else
lcs := y;
end;
end;
var
s1, s2: string;
begin
s1 := 'thisisatest';
s2 := 'testing123testing';
writeln (lcs(s1, s2));
s1 := '1234';
s2 := '1224533324';
writeln (lcs(s1, s2));
end.

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sub lcs(Str $xstr, Str $ystr) {
return "" unless $xstr & $ystr;
my ($x, $xs, $y, $ys) = $xstr.substr(0, 1), $xstr.substr(1), $ystr.substr(0, 1), $ystr.substr(1);
return $x eq $y
?? $x ~ lcs($xs, $ys)
!! max({ $^a.chars }, lcs($xstr, $ys), lcs($xs, $ystr) );
}
say lcs("thisisatest", "testing123testing");

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sub lcs(Str $xstr, Str $ystr) {
my ($xlen, $ylen) = ($xstr, $ystr)>>.chars;
my @lengths = map {[(0) xx ($ylen+1)]}, 0..$xlen;
for $xstr.comb.kv -> $i, $x {
for $ystr.comb.kv -> $j, $y {
@lengths[$i+1][$j+1] = $x eq $y ?? @lengths[$i][$j]+1 !! (@lengths[$i+1][$j], @lengths[$i][$j+1]).max;
}
}
my @x = $xstr.comb;
my ($x, $y) = ($xlen, $ylen);
my $result = "";
while $x != 0 && $y != 0 {
if @lengths[$x][$y] == @lengths[$x-1][$y] {
$x--;
}
elsif @lengths[$x][$y] == @lengths[$x][$y-1] {
$y--;
}
else {
$result = @x[$x-1] ~ $result;
$x--;
$y--;
}
}
return $result;
}
say lcs("thisisatest", "testing123testing");

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Procedure.s lcs(a$, b$)
Protected x$ , lcs$
If Len(a$) = 0 Or Len(b$) = 0
lcs$ = ""
ElseIf Right(a$, 1) = Right(b$, 1)
lcs$ = lcs(Left(a$, Len(a$) - 1), Left(b$, Len(b$) - 1)) + Right(a$, 1)
Else
x$ = lcs(a$, Left(b$, Len(b$) - 1))
y$ = lcs(Left(a$, Len(a$) - 1), b$)
If Len(x$) > Len(y$)
lcs$ = x$
Else
lcs$ = y$
EndIf
EndIf
ProcedureReturn lcs$
EndProcedure
OpenConsole()
PrintN( lcs("thisisatest", "testing123testing"))
PrintN("Press any key to exit"): Repeat: Until Inkey() <> ""

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a$ = "aebdaef"
b$ = "cacbac"
print lcs$(a$,b$)
end
FUNCTION lcs$(a$, b$)
IF a$ = "" OR b$ = "" THEN
lcs$ = ""
goto [ext]
end if
IF RIGHT$(a$, 1) = RIGHT$(b$, 1) THEN
lcs$ = lcs$(LEFT$(a$, LEN(a$) - 1), LEFT$(b$, LEN(b$) - 1)) + RIGHT$(a$, 1)
goto [ext]
ELSE
x1$ = lcs$(a$, LEFT$(b$, LEN(b$) - 1))
x2$ = lcs$(LEFT$(a$, LEN(a$) - 1), b$)
IF LEN(x1$) > LEN(x2$) THEN
lcs$ = x1$
goto [ext]
ELSE
lcs$ = x2$
goto [ext]
END IF
END IF
[ext]
END FUNCTION

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op .longest(a, b);
return if #a > #b then a else b end;
end .longest;
procedure lcs(a, b);
if exists empty in {a, b} | #empty = 0 then
return empty;
elseif a(1) = b(1) then
return a(1) + lcs(a(2..), b(2..));
else
return lcs(a(2..), b) .longest lcs(a, b(2..));
end;
end lcs;

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s1@(Sequence traits) longestCommonSubsequenceWith: s2@(Sequence traits)
[
s1 isEmpty \/ s2 isEmpty ifTrue: [^ {}].
s1 last = s2 last
ifTrue: [(s1 allButLast longestCommonSubsequenceWith: s2 allButLast) copyWith: s1 last]
ifFalse: [| x y |
x: (s1 longestCommonSubsequenceWith: s2 allButLast).
y: (s1 allButLast longestCommonSubsequenceWith: s2).
x length > y length ifTrue: [x] ifFalse: [y]]
].

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s1@(Sequence traits) longestCommonSubsequenceWith: s2@(Sequence traits)
[| lengths |
lengths: (ArrayMD newWithDimensions: {s1 length `cache. s2 length `cache} defaultElement: 0).
s1 doWithIndex: [| :elem1 :index1 |
s2 doWithIndex: [| :elem2 :index2 |
elem1 = elem2
ifTrue: [lengths at: {index1 + 1. index2 + 1} put: (lengths at: {index1. index2}) + 1]
ifFalse: [lengths at: {index1 + 1. index2 + 1} put:
((lengths at: {index1 + 1. index2}) max: (lengths at: {index1. index2 + 1}))]]].
([| :result index1 index2 |
index1: s1 length.
index2: s2 length.
[index1 isPositive /\ index2 isPositive]
whileTrue:
[(lengths at: {index1. index2}) = (lengths at: {index1 - 1. index2})
ifTrue: [index1: index1 - 1]
ifFalse: [(lengths at: {index1. index2}) = (lengths at: {index1. index2 - 1})]
ifTrue: [index2: index2 - 1]
ifFalse: ["assert: (s1 at: index1 - 1) = (s2 at: index2 - 1)."
result nextPut: (s1 at: index1 - 1).
index1: index1 - 1.
index2: index2 - 1]]
] writingAs: s1) reverse
].

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#import std
lcs = ~&alrB^& ~&E?abh/~&alh2fabt2RC @faltPrXlrtPXXPW leql?/~&r ~&l

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#cast %s
example = lcs('thisisatest','testing123testing')