Sorting algorithms/Tree sort on a linked list: Difference between revisions
Sorting algorithms/Tree sort on a linked list (view source)
Revision as of 17:05, 15 May 2021
, 3 years ago→{{header|Phix}}: added syntax colouring the hard way
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=={{header|Phix}}==
{{trans|Kotlin}}
<!--<lang Phix>
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">enum</span> <span style="color: #000000;">KEY</span><span style="color: #0000FF;">,</span><span style="color: #000000;">LEFT</span><span style="color: #0000FF;">,</span><span style="color: #000000;">RIGHT</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">tree_insert</span><span style="color: #0000FF;">(</span><span style="color: #004080;">object</span> <span style="color: #000000;">node</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">item</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">node</span><span style="color: #0000FF;">=</span><span style="color: #004600;">NULL</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">node</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">item</span><span style="color: #0000FF;">,</span><span style="color: #004600;">NULL</span><span style="color: #0000FF;">,</span><span style="color: #004600;">NULL</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">node</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">node</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- (one level only needed)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">item</span><span style="color: #0000FF;"><</span><span style="color: #000000;">node</span><span style="color: #0000FF;">[</span><span style="color: #000000;">KEY</span><span style="color: #0000FF;">]</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">node</span><span style="color: #0000FF;">[</span><span style="color: #000000;">LEFT</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tree_insert</span><span style="color: #0000FF;">(</span><span style="color: #000000;">node</span><span style="color: #0000FF;">[</span><span style="color: #000000;">LEFT</span><span style="color: #0000FF;">],</span><span style="color: #000000;">item</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">node</span><span style="color: #0000FF;">[</span><span style="color: #000000;">RIGHT</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tree_insert</span><span style="color: #0000FF;">(</span><span style="color: #000000;">node</span><span style="color: #0000FF;">[</span><span style="color: #000000;">RIGHT</span><span style="color: #0000FF;">],</span><span style="color: #000000;">item</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">node</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">inOrder</span><span style="color: #0000FF;">(</span><span style="color: #004080;">object</span> <span style="color: #000000;">node</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">node</span><span style="color: #0000FF;">!=</span><span style="color: #004600;">NULL</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">inOrder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">node</span><span style="color: #0000FF;">[</span><span style="color: #000000;">LEFT</span><span style="color: #0000FF;">])</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">node</span><span style="color: #0000FF;">[</span><span style="color: #000000;">KEY</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">inOrder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">node</span><span style="color: #0000FF;">[</span><span style="color: #000000;">RIGHT</span><span style="color: #0000FF;">])</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">treeSort</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">object</span> <span style="color: #000000;">tree</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">NULL</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span> <span style="color: #000000;">tree</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tree_insert</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tree</span><span style="color: #0000FF;">,</span><span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">])</span> <span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #7060A8;">pp</span><span style="color: #0000FF;">({</span><span style="color: #000000;">s</span><span style="color: #0000FF;">,</span><span style="color: #008000;">" => "</span><span style="color: #0000FF;">,</span><span style="color: #000000;">inOrder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tree</span><span style="color: #0000FF;">)})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #000000;">treeSort</span><span style="color: #0000FF;">({</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">9</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">})</span>
<span style="color: #000000;">treeSort</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"dceba"</span><span style="color: #0000FF;">)</span>
<!--</lang>-->
{{out}}
<pre>
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=== version 2 ===
Following my idea of a revised task description, see talk page.
<!--<lang Phix>(phixonline)--
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #000080;font-style:italic;">-- doubly linked list:</span>
<span style="color: #008080;">enum</span> <span style="color: #000000;">NEXT</span><span style="color: #0000FF;">,</span><span style="color: #000000;">PREV</span><span style="color: #0000FF;">,</span><span style="color: #000000;">DATA</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">empty_dll</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">}}</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">dll</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">insert_after</span><span style="color: #0000FF;">(</span><span style="color: #004080;">object</span> <span style="color: #000000;">data</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">pos</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">prv</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">pos</span><span style="color: #0000FF;">][</span><span style="color: #000000;">PREV</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">dll</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dll</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">pos</span><span style="color: #0000FF;">,</span><span style="color: #000000;">prv</span><span style="color: #0000FF;">,</span><span style="color: #000000;">data</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">prv</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">prv</span><span style="color: #0000FF;">][</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dll</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">pos</span><span style="color: #0000FF;">][</span><span style="color: #000000;">PREV</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dll</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">append_node</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">node</span><span style="color: #0000FF;">)</span>
<span style="color: #000080;font-style:italic;">-- (like insert_after, but in situ rebuild)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">prev</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">][</span><span style="color: #000000;">PREV</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">node</span><span style="color: #0000FF;">][</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span>
<span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">node</span><span style="color: #0000FF;">][</span><span style="color: #000000;">PREV</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">prev</span>
<span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">prev</span><span style="color: #0000FF;">][</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">node</span>
<span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">][</span><span style="color: #000000;">PREV</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">node</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">dll_collect</span><span style="color: #0000FF;">()</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">idx</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">][</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">while</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">][</span><span style="color: #000000;">DATA</span><span style="color: #0000FF;">])</span>
<span style="color: #000000;">idx</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">][</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #000080;font-style:italic;">-- tree:</span>
<span style="color: #008080;">enum</span> <span style="color: #000000;">LEFT</span><span style="color: #0000FF;">,</span><span style="color: #000000;">RIGHT</span><span style="color: #0000FF;">,</span><span style="color: #000000;">KEY</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">tree_insert</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">root</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">object</span> <span style="color: #000000;">item</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">root</span><span style="color: #0000FF;">=</span><span style="color: #004600;">NULL</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">idx</span>
<span style="color: #008080;">else</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">branch</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">item</span><span style="color: #0000FF;"><</span><span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">root</span><span style="color: #0000FF;">][</span><span style="color: #000000;">KEY</span><span style="color: #0000FF;">]?</span><span style="color: #000000;">LEFT</span><span style="color: #0000FF;">:</span><span style="color: #000000;">RIGHT</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">root</span><span style="color: #0000FF;">][</span><span style="color: #000000;">branch</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tree_insert</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">root</span><span style="color: #0000FF;">][</span><span style="color: #000000;">branch</span><span style="color: #0000FF;">],</span><span style="color: #000000;">item</span><span style="color: #0000FF;">,</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">root</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">traverse</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">node</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">node</span><span style="color: #0000FF;">!=</span><span style="color: #004600;">NULL</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">traverse</span><span style="color: #0000FF;">(</span><span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">node</span><span style="color: #0000FF;">][</span><span style="color: #000000;">LEFT</span><span style="color: #0000FF;">])</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">right</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">node</span><span style="color: #0000FF;">][</span><span style="color: #000000;">RIGHT</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">append_node</span><span style="color: #0000FF;">(</span><span style="color: #000000;">node</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">traverse</span><span style="color: #0000FF;">(</span><span style="color: #000000;">right</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #004080;">bool</span> <span style="color: #000000;">detailed</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">true</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">treeSort</span><span style="color: #0000FF;">()</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">detailed</span> <span style="color: #008080;">then</span>
<span style="color: #0000FF;">?{</span><span style="color: #008000;">"initial dll"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">dll</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">tree</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">NULL</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">idx</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">][</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">while</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">next</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">][</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">][</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">NULL</span>
<span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">][</span><span style="color: #000000;">PREV</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">NULL</span>
<span style="color: #000000;">tree</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tree_insert</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tree</span><span style="color: #0000FF;">,</span><span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">][</span><span style="color: #000000;">DATA</span><span style="color: #0000FF;">],</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">idx</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">next</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">tree</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">}</span> <span style="color: #000080;font-style:italic;">-- (0 is meaningless, but aligns output)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">detailed</span> <span style="color: #008080;">then</span>
<span style="color: #0000FF;">?{</span><span style="color: #008000;">"tree insitu"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">dll</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">empty_dll</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">])</span>
<span style="color: #000000;">traverse</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tree</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">detailed</span> <span style="color: #008080;">then</span>
<span style="color: #0000FF;">?{</span><span style="color: #008000;">"rebuilt dll"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">dll</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">test</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">dll</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">empty_dll</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span> <span style="color: #000000;">insert_after</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">])</span> <span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #0000FF;">?{</span><span style="color: #008000;">"unsorted"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">dll_collect</span><span style="color: #0000FF;">()}</span>
<span style="color: #000000;">treeSort</span><span style="color: #0000FF;">()</span>
<span style="color: #0000FF;">?{</span><span style="color: #008000;">"sorted"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">dll_collect</span><span style="color: #0000FF;">()}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #000000;">test</span><span style="color: #0000FF;">({</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">9</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">})</span>
<span style="color: #000000;">detailed</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">false</span>
<span style="color: #000000;">test</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"dceba"</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">test</span><span style="color: #0000FF;">({</span><span style="color: #008000;">"d"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"c"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"e"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"b"</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"a"</span><span style="color: #0000FF;">})</span>
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