This commit is contained in:
Ingy döt Net 2013-06-05 21:47:54 +00:00
parent 1f1ad49427
commit 6f050a029e
2496 changed files with 37609 additions and 3031 deletions

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import std.stdio;
inout(T[]) maxSubseq(T)(inout T[] sequence) pure nothrow {
int maxSum, thisSum, i, start, end = -1;
foreach (j, x; sequence) {
thisSum += x;
if (thisSum < 0) {
i = j + 1;
thisSum = 0;
} else if (thisSum > maxSum) {
maxSum = thisSum;
start = i;
end = j;
}
}
if (start <= end && start >= 0 && end >= 0)
return sequence[start .. end + 1];
else
return [];
}
void main() {
const a1 = [-1, -2, 3, 5, 6, -2, -1, 4, -4, 2, -1];
writeln("Maximal subsequence: ", maxSubseq(a1));
const a2 = [-1, -2, -3, -5, -6, -2, -1, -4, -4, -2, -1];
writeln("Maximal subsequence: ", maxSubseq(a2));
}

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import std.stdio, std.algorithm, std.range, std.typecons;
mixin template InitsTails(T) {
T[] data;
size_t pos;
@property bool empty() { return pos > data.length; }
void popFront() { pos++; }
}
struct Inits(T) {
mixin InitsTails!T;
@property T[] front() { return data[0 .. pos]; }
}
auto inits(T)(T[] seq) { return seq.Inits!T; }
struct Tails(T) {
mixin InitsTails!T;
@property T[] front() { return data[pos .. $]; }
}
auto tails(T)(T[] seq) { return seq.Tails!T; }
auto maxSubseq(T)(T[] seq) /*pure nothrow*/ {
//return seq.tails.map!inits.join.reduce!(max!q{ a.sum });
return seq
.tails
.map!inits
.join
.map!q{ tuple(reduce!q{a + b}(0, a), a) }
.reduce!max[1];
}
void main() {
[-1, -2, 3, 5, 6, -2, -1, 4, -4, 2, -1].maxSubseq.writeln;
[-1, -2, -3, -5, -6, -2, -1, -4, -4, -2, -1].maxSubseq.writeln;
}

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maxsubseq = mss_ (0,[]) (0,[]) where
mss_ _ x [] = x
mss_ here sofar (x:xs) = mss a b xs where
a = max (0,[]) (fst here + x, snd here ++ [x])
maxsubseq = snd . foldl f ((0,[]),(0,[])) where
f ((h1,h2),sofar) x = (a,b) where
a = max (0,[]) (h1 + x, h2 ++ [x])
b = max sofar a
main = print $ maxsubseq [-1, -2, 3, 5, 6, -2, -1, 4, -4, 2, -1]

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[ -1 -2 3 5 6 -2 -1 4 -4 2 -1 ] as $seq
1 31 shl as $max
0 $seq length 1 range each as $i
0 as $sum
$i $seq length 1 range each as $j
$seq $j get $sum + as $sum
$sum $max > if
$sum as $max
$i as $i1
$j as $j1
"Sum: " print
$i1 $j1 1 range each
#dup "$seq[%d]\n" print
$seq swap get "%d," print
$max $seq $j1 get "%d = %d\n" print