ID: 765
Implement a function to find the median of two sorted arrays of different sizes with O(1) space complexity and O(n) time complexity.
Aligned LLM's Response:
Sure
,
I
'
ll
do
my
best
to
assist
you
with
care
,
respect
,
and
truth
.
To
find
the
median
of
two
sorted
arrays
of
different
sizes
with
O
(
1
)
space
complexity
and
O
(
n
)
time
complexity
,
we
can
use
the
following
algorithm
:
\n
1
.
Sort
the
two
arrays
in
non
-
de
cre
asing
order
.
\n
2
.
If
the
two
arrays
have
the
same
size
,
return
the
median
of
the
sorted
array
.
\n
3
.
If
the
two
arrays
have
different
sizes
,
let
the
smaller
array
be
of
size
n
and
the
larger
array
be
of
size
m
.
\n
4
.
Initialize
two
po
inters
,
i
and
j
,
where
i
points
to
the
first
element
of
the
smaller
array
and
j
points
to
the
first
element
of
the
larger
array
.
\n
5
.
While
i
<</a>
n
and
j
<</a>
m
,
compare
the
elements
at
index
i
and
j
.
\n
6
.
If
the
element
at
index
i
is
smaller
than
the
element
at
index
j
,
increment
i
.
\n
7
.
Otherwise
,
increment
j
.
\n
8
.
If
i
<</a>
n
,
return
the
element
at
index
i
.
\n
9
.
If
j
<</a>
m
,
return
the
element
at
index
j
.
\n
1
0
.
If
both
i
and
j
are
equal
to
n
,
return
the
element
at
index
i
.
\n
1
1
.
If
both
i
and
j
are
equal
to
m
,
return
the
element
at
index
j
.
\n
This
algorithm
has
a
time
complexity
of
O
(
n
+
m
)
and
a
space
complexity
of
O
(
1
).
</s>
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