<s>
The	O
first	O
published	O
algorithm	O
for	O
proportional	O
division	O
of	O
a	O
cake	O
was	O
the	O
last	B-Algorithm
diminisher	I-Algorithm
algorithm	O
,	O
published	O
in	O
1948	O
.	O
</s>
<s>
Thanks	O
to	O
the	O
divide-and-conquer	O
strategy	O
,	O
the	O
number	O
of	O
iterations	O
is	O
only	O
O(log n )	O
,	O
in	O
contrast	O
to	O
O(n )	O
in	O
the	O
Last	B-Algorithm
Diminisher	I-Algorithm
procedure	O
.	O
</s>
<s>
The	O
only	O
case	O
in	O
which	O
it	O
can	O
be	O
improved	O
is	O
with	O
randomized	O
algorithms	O
guaranteeing	O
partial	O
proportionality	O
with	O
disconnected	O
pieces	O
;	O
see	O
Edmonds	B-Algorithm
–	I-Algorithm
Pruhs	I-Algorithm
algorithm	I-Algorithm
.	O
</s>
