アルゴリズムの簡単な説明(一)——JavaScript

入門レベルアルゴリズム-線形検索-時間複雑度O(n)–アルゴリズムの世界におけるハロルドに相当します.
//リニアサーチ(入門ハロルド)
//Aは配列で、xは検索する値です.

<code class="hljs matlab has-numbering" style="display: block; padding: 0px; color: inherit; box-sizing: border-box; font-family: 'Source Code Pro', monospace;font-size:undefined; white-space: pre; border-radius: 0px; word-wrap: normal; background: transparent;"><span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-title" style="box-sizing: border-box;">linearSearch</span><span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(A, x)</span> {</span>

    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">for</span> (var <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">i</span> = <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">0</span>; <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">i</span> < <span class="hljs-transposed_variable" style="box-sizing: border-box;">A.</span><span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">length</span>; <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">i</span>++) <span class="hljs-cell" style="box-sizing: border-box;">{

        if (A[i] == x) {

            return i;

        }</span>

    }

    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">return</span> -<span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>;

} </code><ul class="pre-numbering" style="box-sizing: border-box; position: absolute; width: 50px; top: 0px; left: 0px; margin: 0px; padding: 6px 0px 40px; border-right-width: 1px; border-right-style: solid; border-right-color: rgb(221, 221, 221); list-style: none; text-align: right; background-color: rgb(238, 238, 238);"><li style="box-sizing: border-box; padding: 0px 5px;">1</li><li style="box-sizing: border-box; padding: 0px 5px;">2</li><li style="box-sizing: border-box; padding: 0px 5px;">3</li><li style="box-sizing: border-box; padding: 0px 5px;">4</li><li style="box-sizing: border-box; padding: 0px 5px;">5</li><li style="box-sizing: border-box; padding: 0px 5px;">6</li><li style="box-sizing: border-box; padding: 0px 5px;">7</li><li style="box-sizing: border-box; padding: 0px 5px;">8</li><li style="box-sizing: border-box; padding: 0px 5px;">9</li><li style="box-sizing: border-box; padding: 0px 5px;">10</li><li style="box-sizing: border-box; padding: 0px 5px;">11</li><li style="box-sizing: border-box; padding: 0px 5px;">12</li><li style="box-sizing: border-box; padding: 0px 5px;">13</li><li style="box-sizing: border-box; padding: 0px 5px;">14</li><li style="box-sizing: border-box; padding: 0px 5px;">15</li></ul>

二分割検索(半値検索ともいう)-並び順の線形構造-時間複雑度O(logN)に適用されます.
//二分検索
//Aは昇順で配列されている行列で、xはクエリーの要素です.
//ターゲット要素の下付き文字を返します.

<code class="hljs javascript has-numbering" style="display: block; padding: 0px; color: inherit; box-sizing: border-box; font-family: 'Source Code Pro', monospace;font-size:undefined; white-space: pre; border-radius: 0px; word-wrap: normal; background: transparent;"><span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-title" style="box-sizing: border-box;">binarySearch</span><span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(A, x)</span> {</span>

    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> low = <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">0</span>, high = A.length - <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>;

    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">while</span> (low <= high) {

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> mid = <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">Math</span>.floor((low + high) / <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">2</span>); <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//          </span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">if</span> (x == A[mid]) {

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">return</span> mid;

        }

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">if</span> (x < A[mid]) {

            high = mid - <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>;

        }

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">else</span> {

            low = mid + <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>;

        }

    }

    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">return</span> -<span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>;

} </code><ul class="pre-numbering" style="box-sizing: border-box; position: absolute; width: 50px; top: 0px; left: 0px; margin: 0px; padding: 6px 0px 40px; border-right-width: 1px; border-right-style: solid; border-right-color: rgb(221, 221, 221); list-style: none; text-align: right; background-color: rgb(238, 238, 238);"><li style="box-sizing: border-box; padding: 0px 5px;">1</li><li style="box-sizing: border-box; padding: 0px 5px;">2</li><li style="box-sizing: border-box; padding: 0px 5px;">3</li><li style="box-sizing: border-box; padding: 0px 5px;">4</li><li style="box-sizing: border-box; padding: 0px 5px;">5</li><li style="box-sizing: border-box; padding: 0px 5px;">6</li><li style="box-sizing: border-box; padding: 0px 5px;">7</li><li style="box-sizing: border-box; padding: 0px 5px;">8</li><li style="box-sizing: border-box; padding: 0px 5px;">9</li><li style="box-sizing: border-box; padding: 0px 5px;">10</li><li style="box-sizing: border-box; padding: 0px 5px;">11</li><li style="box-sizing: border-box; padding: 0px 5px;">12</li><li style="box-sizing: border-box; padding: 0px 5px;">13</li><li style="box-sizing: border-box; padding: 0px 5px;">14</li><li style="box-sizing: border-box; padding: 0px 5px;">15</li><li style="box-sizing: border-box; padding: 0px 5px;">16</li><li style="box-sizing: border-box; padding: 0px 5px;">17</li><li style="box-sizing: border-box; padding: 0px 5px;">18</li><li style="box-sizing: border-box; padding: 0px 5px;">19</li><li style="box-sizing: border-box; padding: 0px 5px;">20</li><li style="box-sizing: border-box; padding: 0px 5px;">21</li><li style="box-sizing: border-box; padding: 0px 5px;">22</li><li style="box-sizing: border-box; padding: 0px 5px;">23</li><li style="box-sizing: border-box; padding: 0px 5px;">24</li><li style="box-sizing: border-box; padding: 0px 5px;">25</li><li style="box-sizing: border-box; padding: 0px 5px;">26</li><li style="box-sizing: border-box; padding: 0px 5px;">27</li><li style="box-sizing: border-box; padding: 0px 5px;">28</li><li style="box-sizing: border-box; padding: 0px 5px;">29</li><li style="box-sizing: border-box; padding: 0px 5px;">30</li><li style="box-sizing: border-box; padding: 0px 5px;">31</li></ul>

泡並べ替え→時間複雑度O(n^2)
//発泡体の並べ替え

<code class="hljs javascript has-numbering" style="display: block; padding: 0px; color: inherit; box-sizing: border-box; font-family: 'Source Code Pro', monospace;font-size:undefined; white-space: pre; border-radius: 0px; word-wrap: normal; background: transparent;"><span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-title" style="box-sizing: border-box;">bubbleSort</span><span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(A)</span> {</span>

    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">for</span> (<span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> i = <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">0</span>; i < A.length; i++) {

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> sorted = <span class="hljs-literal" style="color: rgb(0, 102, 102); box-sizing: border-box;">true</span>;

    <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//  ：        </span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">for</span> (<span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> j = A.length - <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>; j > i; j--) {

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">if</span> (A[j] < A[j - <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>]) {

                swap(A, j, j - <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>);

                sorted = <span class="hljs-literal" style="color: rgb(0, 102, 102); box-sizing: border-box;">false</span>;                    

            }

        }

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">if</span> (sorted) {

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">return</span>;

        }

    }

} </code><ul class="pre-numbering" style="box-sizing: border-box; position: absolute; width: 50px; top: 0px; left: 0px; margin: 0px; padding: 6px 0px 40px; border-right-width: 1px; border-right-style: solid; border-right-color: rgb(221, 221, 221); list-style: none; text-align: right; background-color: rgb(238, 238, 238);"><li style="box-sizing: border-box; padding: 0px 5px;">1</li><li style="box-sizing: border-box; padding: 0px 5px;">2</li><li style="box-sizing: border-box; padding: 0px 5px;">3</li><li style="box-sizing: border-box; padding: 0px 5px;">4</li><li style="box-sizing: border-box; padding: 0px 5px;">5</li><li style="box-sizing: border-box; padding: 0px 5px;">6</li><li style="box-sizing: border-box; padding: 0px 5px;">7</li><li style="box-sizing: border-box; padding: 0px 5px;">8</li><li style="box-sizing: border-box; padding: 0px 5px;">9</li><li style="box-sizing: border-box; padding: 0px 5px;">10</li><li style="box-sizing: border-box; padding: 0px 5px;">11</li><li style="box-sizing: border-box; padding: 0px 5px;">12</li><li style="box-sizing: border-box; padding: 0px 5px;">13</li><li style="box-sizing: border-box; padding: 0px 5px;">14</li><li style="box-sizing: border-box; padding: 0px 5px;">15</li><li style="box-sizing: border-box; padding: 0px 5px;">16</li><li style="box-sizing: border-box; padding: 0px 5px;">17</li><li style="box-sizing: border-box; padding: 0px 5px;">18</li><li style="box-sizing: border-box; padding: 0px 5px;">19</li><li style="box-sizing: border-box; padding: 0px 5px;">20</li><li style="box-sizing: border-box; padding: 0px 5px;">21</li><li style="box-sizing: border-box; padding: 0px 5px;">22</li><li style="box-sizing: border-box; padding: 0px 5px;">23</li><li style="box-sizing: border-box; padding: 0px 5px;">24</li><li style="box-sizing: border-box; padding: 0px 5px;">25</li><li style="box-sizing: border-box; padding: 0px 5px;">26</li><li style="box-sizing: border-box; padding: 0px 5px;">27</li><li style="box-sizing: border-box; padding: 0px 5px;">28</li><li style="box-sizing: border-box; padding: 0px 5px;">29</li></ul>

並べ替え→時間複雑度O(n^2)を選択します.
//並べ替えの選択
//考え方:最小値の下マークを見つけて交換する

<code class="hljs matlab has-numbering" style="display: block; padding: 0px; color: inherit; box-sizing: border-box; font-family: 'Source Code Pro', monospace;font-size:undefined; white-space: pre; border-radius: 0px; word-wrap: normal; background: transparent;"><span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-title" style="box-sizing: border-box;">selectionSort</span><span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(A)</span> {</span>

    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">for</span> (var <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">i</span> = <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">0</span>; <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">i</span> < <span class="hljs-transposed_variable" style="box-sizing: border-box;">A.</span><span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">length</span> - <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>; <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">i</span>++) <span class="hljs-cell" style="box-sizing: border-box;">{

        var k = i;

        for (var j = i + <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>; j < A.length; j++) {

            if (A[j] < A[k]) {

                k = j;

            }</span>

        }

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">if</span> (k != <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">i</span>) <span class="hljs-cell" style="box-sizing: border-box;">{

            var t = A[k];

            A[k] = A[i];

            A[i] = t;

            println(A);

        }</span>

    }

    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">return</span> A;

} </code><ul class="pre-numbering" style="box-sizing: border-box; position: absolute; width: 50px; top: 0px; left: 0px; margin: 0px; padding: 6px 0px 40px; border-right-width: 1px; border-right-style: solid; border-right-color: rgb(221, 221, 221); list-style: none; text-align: right; background-color: rgb(238, 238, 238);"><li style="box-sizing: border-box; padding: 0px 5px;">1</li><li style="box-sizing: border-box; padding: 0px 5px;">2</li><li style="box-sizing: border-box; padding: 0px 5px;">3</li><li style="box-sizing: border-box; padding: 0px 5px;">4</li><li style="box-sizing: border-box; padding: 0px 5px;">5</li><li style="box-sizing: border-box; padding: 0px 5px;">6</li><li style="box-sizing: border-box; padding: 0px 5px;">7</li><li style="box-sizing: border-box; padding: 0px 5px;">8</li><li style="box-sizing: border-box; padding: 0px 5px;">9</li><li style="box-sizing: border-box; padding: 0px 5px;">10</li><li style="box-sizing: border-box; padding: 0px 5px;">11</li><li style="box-sizing: border-box; padding: 0px 5px;">12</li><li style="box-sizing: border-box; padding: 0px 5px;">13</li><li style="box-sizing: border-box; padding: 0px 5px;">14</li><li style="box-sizing: border-box; padding: 0px 5px;">15</li><li style="box-sizing: border-box; padding: 0px 5px;">16</li><li style="box-sizing: border-box; padding: 0px 5px;">17</li><li style="box-sizing: border-box; padding: 0px 5px;">18</li><li style="box-sizing: border-box; padding: 0px 5px;">19</li><li style="box-sizing: border-box; padding: 0px 5px;">20</li><li style="box-sizing: border-box; padding: 0px 5px;">21</li><li style="box-sizing: border-box; padding: 0px 5px;">22</li><li style="box-sizing: border-box; padding: 0px 5px;">23</li><li style="box-sizing: border-box; padding: 0px 5px;">24</li><li style="box-sizing: border-box; padding: 0px 5px;">25</li><li style="box-sizing: border-box; padding: 0px 5px;">26</li><li style="box-sizing: border-box; padding: 0px 5px;">27</li><li style="box-sizing: border-box; padding: 0px 5px;">28</li><li style="box-sizing: border-box; padding: 0px 5px;">29</li><li style="box-sizing: border-box; padding: 0px 5px;">30</li><li style="box-sizing: border-box; padding: 0px 5px;">31</li><li style="box-sizing: border-box; padding: 0px 5px;">32</li><li style="box-sizing: border-box; padding: 0px 5px;">33</li></ul>

並べ替えの挿入→時間複雑度O(n^2)
//並べ替えの挿入
//現在の元素の前の元素がすでに順番に並んでいると仮定して、まず自分の位置を空にして、
//そして前の方が自分より大きい元素を順に後ろに動かして、穴が一つ空くまで移動します.
//そしてターゲット要素を「ピット」に挿入します.

<code class="hljs matlab has-numbering" style="display: block; padding: 0px; color: inherit; box-sizing: border-box; font-family: 'Source Code Pro', monospace;font-size:undefined; white-space: pre; border-radius: 0px; word-wrap: normal; background: transparent;"><span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-title" style="box-sizing: border-box;">insertSort</span><span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(A)</span> {</span>

    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">for</span> (var <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">i</span> = <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>; <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">i</span> < <span class="hljs-transposed_variable" style="box-sizing: border-box;">A.</span><span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">length</span>; <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">i</span>++) <span class="hljs-cell" style="box-sizing: border-box;">{

        var x = A[i];

        for (var j = i - <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>; j >= <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">0</span> && A[j] > x; j--) {

            A[j + <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>] = A[j];

        }</span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">if</span> (A<span class="hljs-matrix" style="box-sizing: border-box;">[j + <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>]</span> != x) <span class="hljs-cell" style="box-sizing: border-box;">{

            A[j + <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>] = x;

            println(A);

        }</span>

    }

    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">return</span> A;

} </code><ul class="pre-numbering" style="box-sizing: border-box; position: absolute; width: 50px; top: 0px; left: 0px; margin: 0px; padding: 6px 0px 40px; border-right-width: 1px; border-right-style: solid; border-right-color: rgb(221, 221, 221); list-style: none; text-align: right; background-color: rgb(238, 238, 238);"><li style="box-sizing: border-box; padding: 0px 5px;">1</li><li style="box-sizing: border-box; padding: 0px 5px;">2</li><li style="box-sizing: border-box; padding: 0px 5px;">3</li><li style="box-sizing: border-box; padding: 0px 5px;">4</li><li style="box-sizing: border-box; padding: 0px 5px;">5</li><li style="box-sizing: border-box; padding: 0px 5px;">6</li><li style="box-sizing: border-box; padding: 0px 5px;">7</li><li style="box-sizing: border-box; padding: 0px 5px;">8</li><li style="box-sizing: border-box; padding: 0px 5px;">9</li><li style="box-sizing: border-box; padding: 0px 5px;">10</li><li style="box-sizing: border-box; padding: 0px 5px;">11</li><li style="box-sizing: border-box; padding: 0px 5px;">12</li><li style="box-sizing: border-box; padding: 0px 5px;">13</li><li style="box-sizing: border-box; padding: 0px 5px;">14</li><li style="box-sizing: border-box; padding: 0px 5px;">15</li><li style="box-sizing: border-box; padding: 0px 5px;">16</li><li style="box-sizing: border-box; padding: 0px 5px;">17</li><li style="box-sizing: border-box; padding: 0px 5px;">18</li><li style="box-sizing: border-box; padding: 0px 5px;">19</li><li style="box-sizing: border-box; padding: 0px 5px;">20</li><li style="box-sizing: border-box; padding: 0px 5px;">21</li><li style="box-sizing: border-box; padding: 0px 5px;">22</li><li style="box-sizing: border-box; padding: 0px 5px;">23</li><li style="box-sizing: border-box; padding: 0px 5px;">24</li><li style="box-sizing: border-box; padding: 0px 5px;">25</li></ul>

文字列反転–時間複雑度O(logN)
//文字列反転(例えばABC->CBA)

<code class="hljs matlab has-numbering" style="display: block; padding: 0px; color: inherit; box-sizing: border-box; font-family: 'Source Code Pro', monospace;font-size:undefined; white-space: pre; border-radius: 0px; word-wrap: normal; background: transparent;"><span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-title" style="box-sizing: border-box;">inverse</span><span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(s)</span> {</span>

    var arr = <span class="hljs-transposed_variable" style="box-sizing: border-box;">s.</span>split(<span class="hljs-string" style="color: rgb(0, 136, 0); box-sizing: border-box;">''</span>);

    var <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">i</span> = <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">0</span>, <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">j</span> = <span class="hljs-transposed_variable" style="box-sizing: border-box;">arr.</span><span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">length</span> - <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>;

    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">while</span> (<span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">i</span> < <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">j</span>) <span class="hljs-cell" style="box-sizing: border-box;">{

        var t = arr[i];

        arr[i] = arr[j];

        arr[j] = t;

        i++;

        j--;

    }</span>

    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">return</span> <span class="hljs-transposed_variable" style="box-sizing: border-box;">arr.</span>join(<span class="hljs-string" style="color: rgb(0, 136, 0); box-sizing: border-box;">''</span>);

} </code><ul class="pre-numbering" style="box-sizing: border-box; position: absolute; width: 50px; top: 0px; left: 0px; margin: 0px; padding: 6px 0px 40px; border-right-width: 1px; border-right-style: solid; border-right-color: rgb(221, 221, 221); list-style: none; text-align: right; background-color: rgb(238, 238, 238);"><li style="box-sizing: border-box; padding: 0px 5px;">1</li><li style="box-sizing: border-box; padding: 0px 5px;">2</li><li style="box-sizing: border-box; padding: 0px 5px;">3</li><li style="box-sizing: border-box; padding: 0px 5px;">4</li><li style="box-sizing: border-box; padding: 0px 5px;">5</li><li style="box-sizing: border-box; padding: 0px 5px;">6</li><li style="box-sizing: border-box; padding: 0px 5px;">7</li><li style="box-sizing: border-box; padding: 0px 5px;">8</li><li style="box-sizing: border-box; padding: 0px 5px;">9</li><li style="box-sizing: border-box; padding: 0px 5px;">10</li><li style="box-sizing: border-box; padding: 0px 5px;">11</li><li style="box-sizing: border-box; padding: 0px 5px;">12</li><li style="box-sizing: border-box; padding: 0px 5px;">13</li><li style="box-sizing: border-box; padding: 0px 5px;">14</li><li style="box-sizing: border-box; padding: 0px 5px;">15</li><li style="box-sizing: border-box; padding: 0px 5px;">16</li><li style="box-sizing: border-box; padding: 0px 5px;">17</li><li style="box-sizing: border-box; padding: 0px 5px;">18</li><li style="box-sizing: border-box; padding: 0px 5px;">19</li><li style="box-sizing: border-box; padding: 0px 5px;">20</li><li style="box-sizing: border-box; padding: 0px 5px;">21</li><li style="box-sizing: border-box; padding: 0px 5px;">22</li><li style="box-sizing: border-box; padding: 0px 5px;">23</li></ul>

安定性秩序化に関する結論:
比較的簡単な並べ替えアルゴリズム、すなわち時間複雑度はO(N^2)の順序付けアルゴリズムに基づいて、一般的には安定した並べ替えであると考えられている.
他の先進的な並べ替えアルゴリズム、例えば、規格化、積み上げ、バケツ並べ替えなど(通常、このようなアルゴリズムの時間複雑度はn＊LogNに最適化されてもよい)、一般的には不安定な並べ替えと考えられています.
シングルリスト実現

<code class="hljs xml has-numbering" style="display: block; padding: 0px; color: inherit; box-sizing: border-box; font-family: 'Source Code Pro', monospace;font-size:undefined; white-space: pre; border-radius: 0px; word-wrap: normal; background: transparent;"><span class="hljs-tag" style="color: rgb(0, 102, 102); box-sizing: border-box;"><<span class="hljs-title" style="box-sizing: border-box; color: rgb(0, 0, 136);">script</span> <span class="hljs-attribute" style="box-sizing: border-box; color: rgb(102, 0, 102);">type</span>=<span class="hljs-value" style="box-sizing: border-box; color: rgb(0, 136, 0);">"text/javascript"</span>></span><span class="javascript" style="box-sizing: border-box;">



    <span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-title" style="box-sizing: border-box;">print</span><span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(msg)</span> {</span>

        document.write(msg);

    }



    <span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-title" style="box-sizing: border-box;">println</span><span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(msg)</span> {</span>

        print(msg + <span class="hljs-string" style="color: rgb(0, 136, 0); box-sizing: border-box;">"<br/>"</span>);

    }



    <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//   </span>

    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> Node = <span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(v)</span> {</span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">this</span>.data = v; <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//   </span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">this</span>.next = <span class="hljs-literal" style="color: rgb(0, 102, 102); box-sizing: border-box;">null</span>; <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//    </span>

    }



    <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//   </span>

    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> SingleLink = <span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">()</span> {</span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">this</span>.head = <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">new</span> Node(<span class="hljs-literal" style="color: rgb(0, 102, 102); box-sizing: border-box;">null</span>); <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//        ，   </span>



        <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//    </span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">this</span>.insert = <span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(v)</span> {</span>

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> p = <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">this</span>.head;

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">while</span> (p.next != <span class="hljs-literal" style="color: rgb(0, 102, 102); box-sizing: border-box;">null</span>) {

                p = p.next;

            }

            p.next = <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">new</span> Node(v);

        }



        <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//         </span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">this</span>.removeAt = <span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(n)</span> {</span>

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">if</span> (n <= <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">0</span>) {

                <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">return</span>;

            }

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> preNode = <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">this</span>.getNodeByIndex(n - <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>);

            preNode.next = preNode.next.next;



        }



        <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//  N      (       0   )</span>

        <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//N         ，        </span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">this</span>.getNodeByIndex = <span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(n)</span> {</span>

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> p = <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">this</span>.head;

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> i = <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">0</span>;

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">while</span> (p.next != <span class="hljs-literal" style="color: rgb(0, 102, 102); box-sizing: border-box;">null</span> && i < n) {

                p = p.next;

                i++;

            }

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">return</span> p;

        }



        <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//    V   ，</span>

        <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//              ，</span>

        <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//        </span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">this</span>.getNodeByValue = <span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(v)</span> {</span>

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> p = <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">this</span>.head;

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">while</span> (p.next != <span class="hljs-literal" style="color: rgb(0, 102, 102); box-sizing: border-box;">null</span>) {

                p = p.next;

                <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">if</span> (p.data == v) {

                    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">return</span> p;

                }

            }

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">return</span> <span class="hljs-literal" style="color: rgb(0, 102, 102); box-sizing: border-box;">null</span>;

        }



        <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//        </span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">this</span>.print = <span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">()</span> {</span>

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> p = <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">this</span>.head;

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">while</span> (p.next != <span class="hljs-literal" style="color: rgb(0, 102, 102); box-sizing: border-box;">null</span>) {

                p = p.next;

                print(p.data + <span class="hljs-string" style="color: rgb(0, 136, 0); box-sizing: border-box;">" "</span>);

            }

            println(<span class="hljs-string" style="color: rgb(0, 136, 0); box-sizing: border-box;">""</span>);

        }



    }



    <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//     L        </span>

    <span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-title" style="box-sizing: border-box;">hasSameValueNode</span><span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(singleLink)</span> {</span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> i = singleLink.head;

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">while</span> (i.next != <span class="hljs-literal" style="color: rgb(0, 102, 102); box-sizing: border-box;">null</span>) {

            i = i.next;

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> j = i;

            <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">while</span> (j.next != <span class="hljs-literal" style="color: rgb(0, 102, 102); box-sizing: border-box;">null</span>) {

                j = j.next;

                <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">if</span> (i.data == j.data) {

                    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">return</span> <span class="hljs-literal" style="color: rgb(0, 102, 102); box-sizing: border-box;">true</span>;

                }

            }

        }

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">return</span> <span class="hljs-literal" style="color: rgb(0, 102, 102); box-sizing: border-box;">false</span>;

    }



    <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//       </span>

    <span class="hljs-function" style="box-sizing: border-box;"><span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">function</span> <span class="hljs-title" style="box-sizing: border-box;">reverseSingleLink</span><span class="hljs-params" style="color: rgb(102, 0, 102); box-sizing: border-box;">(singleLink)</span> {</span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> arr = <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">new</span> <span class="hljs-built_in" style="color: rgb(102, 0, 102); box-sizing: border-box;">Array</span>();

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> p = singleLink.head;

        <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//    ，         </span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">while</span> (p.next != <span class="hljs-literal" style="color: rgb(0, 102, 102); box-sizing: border-box;">null</span>) {

            p = p.next;

            arr.push(p.data);

        }

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> newLink = <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">new</span> SingleLink();

        <span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//         ,     </span>

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">for</span> (<span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> i = arr.length - <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">1</span>; i >= <span class="hljs-number" style="color: rgb(0, 102, 102); box-sizing: border-box;">0</span>; i--) {

            newLink.insert(arr[i]);

        }

        <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">return</span> newLink;

    }





    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> linkTest = <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">new</span> SingleLink();

    linkTest.insert(<span class="hljs-string" style="color: rgb(0, 136, 0); box-sizing: border-box;">'A'</span>);

    linkTest.insert(<span class="hljs-string" style="color: rgb(0, 136, 0); box-sizing: border-box;">'B'</span>);

    linkTest.insert(<span class="hljs-string" style="color: rgb(0, 136, 0); box-sizing: border-box;">'C'</span>);

    linkTest.insert(<span class="hljs-string" style="color: rgb(0, 136, 0); box-sizing: border-box;">'D'</span>);

    linkTest.print();<span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//A B C D</span>



    <span class="hljs-keyword" style="color: rgb(0, 0, 136); box-sizing: border-box;">var</span> newLink = reverseSingleLink(linkTest);

    newLink.print();<span class="hljs-comment" style="color: rgb(136, 0, 0); box-sizing: border-box;">//D C B A</span>





</span><span class="hljs-tag" style="color: rgb(0, 102, 102); box-sizing: border-box;"></<span class="hljs-title" style="box-sizing: border-box; color: rgb(0, 0, 136);">script</span>></span> </code>