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/**
* Flashsort is a distribution sorting algorithm showing linear
* computational complexity O(n) for uniformly distributed
* data sets and relatively little additional memory requirement.
*
* Wikipedia: https://en.wikipedia.org/wiki/Flashsort
*/
export
function
flashSort
(
arr
)
{
let
max
=
0
let
min
=
arr
[
0
]
const
n
=
arr
.
length
const
m
=
~
~
(
0.45
*
n
)
const
l
=
new
Array
(
m
)
for
(
let
i
=
1
;
i
<
n
;
++
i
)
{
if
(
arr
[
i
]
<
min
)
{
min
=
arr
[
i
]
}
if
(
arr
[
i
]
>
arr
[
max
]
)
{
max
=
i
}
}
if
(
min
===
arr
[
max
]
)
{
return
arr
}
const
c1
=
(
m
-
1
)
/
(
arr
[
max
]
-
min
)
for
(
let
k
=
0
;
k
<
m
;
k
++
)
{
l
[
k
]
=
0
}
for
(
let
j
=
0
;
j
<
n
;
++
j
)
{
const
k
=
~
~
(
c1
*
(
arr
[
j
]
-
min
)
)
++
l
[
k
]
}
for
(
let
p
=
1
;
p
<
m
;
++
p
)
{
l
[
p
]
=
l
[
p
]
+
l
[
p
-
1
]
}
let
hold
=
arr
[
max
]
arr
[
max
]
=
arr
[
0
]
arr
[
0
]
=
hold
// permutation
let
move
=
0
let
t
let
flash
let
j
=
0
let
k
=
m
-
1
while
(
move
<
n
-
1
)
{
while
(
j
>
l
[
k
]
-
1
)
{
++
j
k
=
~
~
(
c1
*
(
arr
[
j
]
-
min
)
)
}
if
(
k
<
0
)
break
flash
=
arr
[
j
]
while
(
j
!==
l
[
k
]
)
{
k
=
~
~
(
c1
*
(
flash
-
min
)
)
hold
=
arr
[
(
t
=
--
l
[
k
]
)
]
arr
[
t
]
=
flash
flash
=
hold
++
move
}
}
// insertion
for
(
j
=
1
;
j
<
n
;
j
++
)
{
hold
=
arr
[
j
]
let
i
=
j
-
1
while
(
i
>=
0
&&
arr
[
i
]
>
hold
)
{
arr
[
i
+
1
]
=
arr
[
i
--
]
}
arr
[
i
+
1
]
=
hold
}
return
arr
}
/**
* Implementation of Flash Sort
*/
// const array = [3, 0, 2, 5, -1, 4, 1, -2]
// flashSort(array)
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