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javascript-algorithms/src/sets/quickunion.js at master · EvanMatveev/javascript-algorithms · GitHub
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javascript-algorithms
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quickunion.js
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quickunion.js
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/**
* Keeps track of a set of elements partitioned into a
* number of disjoint (nonoverlapping) subsets.
* Allows to check whether the path between two nodes exists.
* <br>
* The algorithm is inspired by Robert Sedgewick's Java implementation.
* {
@link
http://algs4.cs.princeton.edu/home/}
*
*
@example
*
* var QuickUnion = require('path-to-algorithms/' +
* 'src/sets/quickunion').QuickUnion;
*
* var qunion = new QuickUnion(10);
* qunion.union(0, 1);
* qunion.union(2, 1);
* qunion.union(3, 4);
* qunion.union(8, 9);
* qunion.union(4, 8);
*
* console.log(qunion.connected(0, 9)); // false
* console.log(qunion.connected(3, 9)); // true
*
*
@public
*
@module
sets/quickunion
*/
(
function
(
exports
)
{
'use strict'
;
/**
* Initialization.<br><br>
* Time complexity: O(N).
*
*
@public
*
@constructor
*
@param
{
Numner
} size Count of the nodes.
*/
exports
.
QuickUnion
=
function
(
n
)
{
this
.
_ids
=
[
]
;
for
(
var
i
=
0
;
i
<
n
;
i
+=
1
)
{
this
.
_ids
[
i
]
=
i
;
}
}
;
/**
* Finds the root of given node.<br><br>
* Time complexity: O(N).
*
@private
*
@param
{
Number
} i The given node.
*
@return
{
Number
} Root of the given node.
*/
exports
.
QuickUnion
.
prototype
.
_root
=
function
(
i
)
{
while
(
i
!==
this
.
_ids
[
i
]
)
{
i
=
this
.
_ids
[
i
]
;
}
return
i
;
}
;
/**
* Connects two nodes - p and q.<br><br>
* Time complexity: O(N).
*
*
@public
*
@method
*
@param
{
Number
} p The first node.
*
@param
{
Number
} q The second node.
*/
exports
.
QuickUnion
.
prototype
.
union
=
function
(
p
,
q
)
{
var
pRoot
=
this
.
_root
(
p
)
;
var
qRoot
=
this
.
_root
(
q
)
;
this
.
_ids
[
pRoot
]
=
qRoot
;
}
;
/**
* Checks whether two nodes are connected.<br><br>
* Time complexity: O(N).
*
*
@param
{
Number
} p The first node.
*
@param
{
Number
} q The second node.
*
@return
{
Boolean
} True/false depending on whether the nodes are connected.
*/
exports
.
QuickUnion
.
prototype
.
connected
=
function
(
p
,
q
)
{
return
this
.
_root
(
p
)
===
this
.
_root
(
q
)
;
}
;
}
)
(
typeof
window
===
'undefined'
?
module
.
exports
:
window
)
;
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