Update some of the docs.

docs/Advent_of_Code_2017_December_3rd.html

@@ -13194,7 +13194,7 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[1]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">k</span> <span class="o">=</span> <span class="mi">4</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">k</span> <span class="o">=</span> <span class="mi">4</span>
 </pre></div>
 
     </div>
@@ -13215,8 +13215,8 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[2]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span> <span class="o">*</span> <span class="n">k</span><span class="p">):</span>
-    <span class="nb">print</span> <span class="nb">abs</span><span class="p">(</span><span class="n">n</span> <span class="o">-</span> <span class="n">k</span><span class="p">),</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span> <span class="o">*</span> <span class="n">k</span><span class="p">):</span>
+    <span class="nb">print</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">n</span> <span class="o">-</span> <span class="n">k</span><span class="p">),)</span>
 </pre></div>
 
     </div>
@@ -13233,7 +13233,14 @@ div#notebook {
 
 
 <div class="output_subarea output_stream output_stdout output_text">
-<pre>4 3 2 1 0 1 2 3
+<pre>4
+3
+2
+1
+0
+1
+2
+3
 </pre>
 </div>
 </div>
@@ -13255,8 +13262,8 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[3]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span> <span class="o">*</span> <span class="n">k</span><span class="p">):</span>
-    <span class="nb">print</span> <span class="nb">abs</span><span class="p">(</span><span class="n">n</span> <span class="o">-</span> <span class="p">(</span><span class="n">k</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)),</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span> <span class="o">*</span> <span class="n">k</span><span class="p">):</span>
+    <span class="nb">print</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">n</span> <span class="o">-</span> <span class="p">(</span><span class="n">k</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)),</span> <span class="n">end</span><span class="o">=</span><span class="s1">&#39; &#39;</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -13273,8 +13280,7 @@ div#notebook {
 
 
 <div class="output_subarea output_stream output_stdout output_text">
-<pre>3 2 1 0 1 2 3 4
-</pre>
+<pre>3 2 1 0 1 2 3 4 </pre>
 </div>
 </div>
 
@@ -13295,8 +13301,8 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[4]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span> <span class="o">*</span> <span class="n">k</span><span class="p">):</span>
-    <span class="nb">print</span> <span class="nb">abs</span><span class="p">(</span><span class="n">n</span> <span class="o">-</span> <span class="p">(</span><span class="n">k</span> <span class="o">-</span> <span class="mi">1</span><span class="p">))</span> <span class="o">+</span> <span class="n">k</span><span class="p">,</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span> <span class="o">*</span> <span class="n">k</span><span class="p">):</span>
+    <span class="nb">print</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">n</span> <span class="o">-</span> <span class="p">(</span><span class="n">k</span> <span class="o">-</span> <span class="mi">1</span><span class="p">))</span> <span class="o">+</span> <span class="n">k</span><span class="p">,</span> <span class="n">end</span><span class="o">=</span><span class="s1">&#39; &#39;</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -13313,8 +13319,7 @@ div#notebook {
 
 
 <div class="output_subarea output_stream output_stdout output_text">
-<pre>7 6 5 4 5 6 7 8
-</pre>
+<pre>7 6 5 4 5 6 7 8 </pre>
 </div>
 </div>
 
@@ -13335,7 +13340,7 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[5]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">row_value</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">i</span><span class="p">):</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">row_value</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">i</span><span class="p">):</span>
     <span class="n">i</span> <span class="o">%=</span> <span class="p">(</span><span class="mi">2</span> <span class="o">*</span> <span class="n">k</span><span class="p">)</span>  <span class="c1"># wrap the index at the row boundary.</span>
     <span class="k">return</span> <span class="nb">abs</span><span class="p">(</span><span class="n">i</span> <span class="o">-</span> <span class="p">(</span><span class="n">k</span> <span class="o">-</span> <span class="mi">1</span><span class="p">))</span> <span class="o">+</span> <span class="n">k</span>
 </pre></div>
@@ -13350,9 +13355,9 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[6]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">k</span> <span class="o">=</span> <span class="mi">5</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">k</span> <span class="o">=</span> <span class="mi">5</span>
 <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span> <span class="o">*</span> <span class="n">k</span><span class="p">):</span>
-    <span class="nb">print</span> <span class="n">row_value</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">i</span><span class="p">),</span>
+    <span class="nb">print</span><span class="p">(</span><span class="n">row_value</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">i</span><span class="p">),</span> <span class="n">end</span><span class="o">=</span><span class="s1">&#39; &#39;</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -13369,8 +13374,7 @@ div#notebook {
 
 
 <div class="output_subarea output_stream output_stdout output_text">
-<pre>9 8 7 6 5 6 7 8 9 10
-</pre>
+<pre>9 8 7 6 5 6 7 8 9 10 </pre>
 </div>
 </div>
 
@@ -13402,7 +13406,7 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[7]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">rank_and_offset</span><span class="p">(</span><span class="n">n</span><span class="p">):</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">rank_and_offset</span><span class="p">(</span><span class="n">n</span><span class="p">):</span>
     <span class="k">assert</span> <span class="n">n</span> <span class="o">&gt;=</span> <span class="mi">2</span>  <span class="c1"># Guard the domain.</span>
     <span class="n">n</span> <span class="o">-=</span> <span class="mi">2</span>  <span class="c1"># Subtract two,</span>
             <span class="c1"># one for the initial square,</span>
@@ -13426,8 +13430,8 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[8]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">51</span><span class="p">):</span>
-    <span class="nb">print</span> <span class="n">n</span><span class="p">,</span> <span class="n">rank_and_offset</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">51</span><span class="p">):</span>
+    <span class="nb">print</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">rank_and_offset</span><span class="p">(</span><span class="n">n</span><span class="p">))</span>
 </pre></div>
 
     </div>
@@ -13506,9 +13510,9 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[9]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">51</span><span class="p">):</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">51</span><span class="p">):</span>
     <span class="n">k</span><span class="p">,</span> <span class="n">i</span> <span class="o">=</span> <span class="n">rank_and_offset</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
-    <span class="nb">print</span> <span class="n">n</span><span class="p">,</span> <span class="n">row_value</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">i</span><span class="p">)</span>
+    <span class="nb">print</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">row_value</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">i</span><span class="p">))</span>
 </pre></div>
 
     </div>
@@ -13594,7 +13598,7 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[10]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">row_value</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">i</span><span class="p">):</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">row_value</span><span class="p">(</span><span class="n">k</span><span class="p">,</span> <span class="n">i</span><span class="p">):</span>
     <span class="k">return</span> <span class="nb">abs</span><span class="p">(</span><span class="n">i</span> <span class="o">-</span> <span class="p">(</span><span class="n">k</span> <span class="o">-</span> <span class="mi">1</span><span class="p">))</span> <span class="o">+</span> <span class="n">k</span>
 
 
@@ -13628,7 +13632,7 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[11]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">aoc20173</span><span class="p">(</span><span class="mi">23</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">aoc20173</span><span class="p">(</span><span class="mi">23</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -13661,7 +13665,7 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[12]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">aoc20173</span><span class="p">(</span><span class="mi">23000</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">aoc20173</span><span class="p">(</span><span class="mi">23000</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -13694,7 +13698,7 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[13]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">aoc20173</span><span class="p">(</span><span class="mi">23000000000000</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">aoc20173</span><span class="p">(</span><span class="mi">23000000000000</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -13735,7 +13739,7 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[14]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="kn">from</span> <span class="nn">sympy</span> <span class="kn">import</span> <span class="n">floor</span><span class="p">,</span> <span class="n">lambdify</span><span class="p">,</span> <span class="n">solve</span><span class="p">,</span> <span class="n">symbols</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">sympy</span> <span class="kn">import</span> <span class="n">floor</span><span class="p">,</span> <span class="n">lambdify</span><span class="p">,</span> <span class="n">solve</span><span class="p">,</span> <span class="n">symbols</span>
 <span class="kn">from</span> <span class="nn">sympy</span> <span class="kn">import</span> <span class="n">init_printing</span>
 <span class="n">init_printing</span><span class="p">()</span> 
 </pre></div>
@@ -13750,7 +13754,7 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[15]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">k</span> <span class="o">=</span> <span class="n">symbols</span><span class="p">(</span><span class="s1">&#39;k&#39;</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">k</span> <span class="o">=</span> <span class="n">symbols</span><span class="p">(</span><span class="s1">&#39;k&#39;</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -13775,7 +13779,7 @@ div#notebook {
 <div class="prompt input_prompt">In&nbsp;[16]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">E</span> <span class="o">=</span> <span class="mi">2</span> <span class="o">+</span> <span class="mi">8</span> <span class="o">*</span> <span class="n">k</span> <span class="o">*</span> <span class="p">(</span><span class="n">k</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span> <span class="o">/</span> <span class="mi">2</span>  <span class="c1"># For the reason for adding 2 see above.</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">E</span> <span class="o">=</span> <span class="mi">2</span> <span class="o">+</span> <span class="mi">8</span> <span class="o">*</span> <span class="n">k</span> <span class="o">*</span> <span class="p">(</span><span class="n">k</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span> <span class="o">/</span> <span class="mi">2</span>  <span class="c1"># For the reason for adding 2 see above.</span>
 
 <span class="n">E</span>
 </pre></div>
@@ -13796,7 +13800,7 @@ div#notebook {
 
 
 <div class="output_latex output_subarea output_execute_result">
-$$4 k \left(k + 1\right) + 2$$
+$\displaystyle 4 k \left(k + 1\right) + 2$
 </div>
 
 </div>
@@ -13818,7 +13822,7 @@ $$4 k \left(k + 1\right) + 2$$
 <div class="prompt input_prompt">In&nbsp;[17]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">rank_of</span><span class="p">(</span><span class="n">n</span><span class="p">):</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">rank_of</span><span class="p">(</span><span class="n">n</span><span class="p">):</span>
     <span class="k">return</span> <span class="n">floor</span><span class="p">(</span><span class="nb">max</span><span class="p">(</span><span class="n">solve</span><span class="p">(</span><span class="n">E</span> <span class="o">-</span> <span class="n">n</span><span class="p">,</span> <span class="n">k</span><span class="p">)))</span> <span class="o">+</span> <span class="mi">1</span>
 </pre></div>
 
@@ -13841,8 +13845,8 @@ $$4 k \left(k + 1\right) + 2$$
 <div class="prompt input_prompt">In&nbsp;[18]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="p">(</span><span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">25</span><span class="p">,</span> <span class="mi">26</span><span class="p">,</span> <span class="mi">49</span><span class="p">,</span> <span class="mi">50</span><span class="p">):</span>
-    <span class="nb">print</span> <span class="n">n</span><span class="p">,</span> <span class="n">rank_of</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="p">(</span><span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">25</span><span class="p">,</span> <span class="mi">26</span><span class="p">,</span> <span class="mi">49</span><span class="p">,</span> <span class="mi">50</span><span class="p">):</span>
+    <span class="nb">print</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">rank_of</span><span class="p">(</span><span class="n">n</span><span class="p">))</span>
 </pre></div>
 
     </div>
@@ -13886,7 +13890,7 @@ $$4 k \left(k + 1\right) + 2$$
 <div class="prompt input_prompt">In&nbsp;[19]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="o">%</span><span class="k">time</span> rank_of(23000000000000)  # Compare runtime with rank_and_offset()!
+<div class=" highlight hl-ipython3"><pre><span></span><span class="o">%</span><span class="k">time</span> rank_of(23000000000000)  # Compare runtime with rank_and_offset()!
 </pre></div>
 
     </div>
@@ -13903,8 +13907,8 @@ $$4 k \left(k + 1\right) + 2$$
 
 
 <div class="output_subarea output_stream output_stdout output_text">
-<pre>CPU times: user 68 ms, sys: 8 ms, total: 76 ms
-Wall time: 73.8 ms
+<pre>CPU times: user 27.8 ms, sys: 5 µs, total: 27.8 ms
+Wall time: 27.3 ms
 </pre>
 </div>
 </div>
@@ -13917,7 +13921,7 @@ Wall time: 73.8 ms
 
 
 <div class="output_latex output_subarea output_execute_result">
-$$2397916$$
+$\displaystyle 2397916$
 </div>
 
 </div>
@@ -13931,7 +13935,7 @@ $$2397916$$
 <div class="prompt input_prompt">In&nbsp;[20]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="o">%</span><span class="k">time</span> rank_and_offset(23000000000000)
+<div class=" highlight hl-ipython3"><pre><span></span><span class="o">%</span><span class="k">time</span> rank_and_offset(23000000000000)
 </pre></div>
 
     </div>
@@ -13948,8 +13952,8 @@ $$2397916$$
 
 
 <div class="output_subarea output_stream output_stdout output_text">
-<pre>CPU times: user 308 ms, sys: 0 ns, total: 308 ms
-Wall time: 306 ms
+<pre>CPU times: user 216 ms, sys: 89 µs, total: 216 ms
+Wall time: 215 ms
 </pre>
 </div>
 </div>
@@ -13962,7 +13966,7 @@ Wall time: 306 ms
 
 
 <div class="output_latex output_subarea output_execute_result">
-$$\left ( 2397916, \quad 223606\right )$$
+$\displaystyle \left( 2397916, \  223606\right)$
 </div>
 
 </div>
@@ -13993,7 +13997,7 @@ $$\left ( 2397916, \quad 223606\right )$$
 <div class="prompt input_prompt">In&nbsp;[21]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">y</span> <span class="o">=</span> <span class="n">symbols</span><span class="p">(</span><span class="s1">&#39;y&#39;</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">y</span> <span class="o">=</span> <span class="n">symbols</span><span class="p">(</span><span class="s1">&#39;y&#39;</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -14006,7 +14010,7 @@ $$\left ( 2397916, \quad 223606\right )$$
 <div class="prompt input_prompt">In&nbsp;[22]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">g</span><span class="p">,</span> <span class="n">f</span> <span class="o">=</span> <span class="n">solve</span><span class="p">(</span><span class="n">E</span> <span class="o">-</span> <span class="n">y</span><span class="p">,</span> <span class="n">k</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">g</span><span class="p">,</span> <span class="n">f</span> <span class="o">=</span> <span class="n">solve</span><span class="p">(</span><span class="n">E</span> <span class="o">-</span> <span class="n">y</span><span class="p">,</span> <span class="n">k</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -14027,7 +14031,7 @@ $$\left ( 2397916, \quad 223606\right )$$
 <div class="prompt input_prompt">In&nbsp;[23]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">g</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">g</span>
 </pre></div>
 
     </div>
@@ -14046,7 +14050,7 @@ $$\left ( 2397916, \quad 223606\right )$$
 
 
 <div class="output_latex output_subarea output_execute_result">
-$$- \frac{1}{2} \sqrt{y - 1} - \frac{1}{2}$$
+$\displaystyle - \frac{\sqrt{y - 1}}{2} - \frac{1}{2}$
 </div>
 
 </div>
@@ -14060,7 +14064,7 @@ $$- \frac{1}{2} \sqrt{y - 1} - \frac{1}{2}$$
 <div class="prompt input_prompt">In&nbsp;[24]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">f</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">f</span>
 </pre></div>
 
     </div>
@@ -14079,7 +14083,7 @@ $$- \frac{1}{2} \sqrt{y - 1} - \frac{1}{2}$$
 
 
 <div class="output_latex output_subarea output_execute_result">
-$$\frac{1}{2} \sqrt{y - 1} - \frac{1}{2}$$
+$\displaystyle \frac{\sqrt{y - 1}}{2} - \frac{1}{2}$
 </div>
 
 </div>
@@ -14101,7 +14105,7 @@ $$\frac{1}{2} \sqrt{y - 1} - \frac{1}{2}$$
 <div class="prompt input_prompt">In&nbsp;[25]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">floor</span><span class="p">(</span><span class="n">f</span><span class="p">)</span> <span class="o">+</span> <span class="mi">1</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">floor</span><span class="p">(</span><span class="n">f</span><span class="p">)</span> <span class="o">+</span> <span class="mi">1</span>
 </pre></div>
 
     </div>
@@ -14120,7 +14124,7 @@ $$\frac{1}{2} \sqrt{y - 1} - \frac{1}{2}$$
 
 
 <div class="output_latex output_subarea output_execute_result">
-$$\lfloor{\frac{1}{2} \sqrt{y - 1} - \frac{1}{2}}\rfloor + 1$$
+$\displaystyle \left\lfloor{\frac{\sqrt{y - 1}}{2} - \frac{1}{2}}\right\rfloor + 1$
 </div>
 
 </div>
@@ -14134,7 +14138,7 @@ $$\lfloor{\frac{1}{2} \sqrt{y - 1} - \frac{1}{2}}\rfloor + 1$$
 <div class="prompt input_prompt">In&nbsp;[26]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">F</span> <span class="o">=</span> <span class="n">lambdify</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="n">floor</span><span class="p">(</span><span class="n">f</span><span class="p">)</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">F</span> <span class="o">=</span> <span class="n">lambdify</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="n">floor</span><span class="p">(</span><span class="n">f</span><span class="p">)</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -14147,8 +14151,8 @@ $$\lfloor{\frac{1}{2} \sqrt{y - 1} - \frac{1}{2}}\rfloor + 1$$
 <div class="prompt input_prompt">In&nbsp;[27]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="p">(</span><span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">25</span><span class="p">,</span> <span class="mi">26</span><span class="p">,</span> <span class="mi">49</span><span class="p">,</span> <span class="mi">50</span><span class="p">):</span>
-    <span class="nb">print</span> <span class="n">n</span><span class="p">,</span> <span class="nb">int</span><span class="p">(</span><span class="n">F</span><span class="p">(</span><span class="n">n</span><span class="p">))</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="p">(</span><span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">25</span><span class="p">,</span> <span class="mi">26</span><span class="p">,</span> <span class="mi">49</span><span class="p">,</span> <span class="mi">50</span><span class="p">):</span>
+    <span class="nb">print</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="nb">int</span><span class="p">(</span><span class="n">F</span><span class="p">(</span><span class="n">n</span><span class="p">)))</span>
 </pre></div>
 
     </div>
@@ -14192,7 +14196,7 @@ $$\lfloor{\frac{1}{2} \sqrt{y - 1} - \frac{1}{2}}\rfloor + 1$$
 <div class="prompt input_prompt">In&nbsp;[28]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="o">%</span><span class="k">time</span> int(F(23000000000000))  # The clear winner.
+<div class=" highlight hl-ipython3"><pre><span></span><span class="o">%</span><span class="k">time</span> int(F(23000000000000))  # The clear winner.
 </pre></div>
 
     </div>
@@ -14209,8 +14213,8 @@ $$\lfloor{\frac{1}{2} \sqrt{y - 1} - \frac{1}{2}}\rfloor + 1$$
 
 
 <div class="output_subarea output_stream output_stdout output_text">
-<pre>CPU times: user 0 ns, sys: 0 ns, total: 0 ns
-Wall time: 11.9 µs
+<pre>CPU times: user 60 µs, sys: 4 µs, total: 64 µs
+Wall time: 67 µs
 </pre>
 </div>
 </div>
@@ -14223,7 +14227,7 @@ Wall time: 11.9 µs
 
 
 <div class="output_latex output_subarea output_execute_result">
-$$2397916$$
+$\displaystyle 2397916$
 </div>
 
 </div>
@@ -14245,10 +14249,10 @@ $$2397916$$
 <div class="prompt input_prompt">In&nbsp;[29]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">floor</span> <span class="k">as</span> <span class="n">mfloor</span><span class="p">,</span> <span class="n">sqrt</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">floor</span> <span class="k">as</span> <span class="n">mfloor</span><span class="p">,</span> <span class="n">sqrt</span>
 
 <span class="k">def</span> <span class="nf">mrank_of</span><span class="p">(</span><span class="n">n</span><span class="p">):</span>
-    <span class="k">return</span> <span class="nb">int</span><span class="p">(</span><span class="n">mfloor</span><span class="p">(</span><span class="n">sqrt</span><span class="p">(</span><span class="mi">23000000000000</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">/</span> <span class="mi">2</span> <span class="o">-</span> <span class="mf">0.5</span><span class="p">)</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span>
+    <span class="k">return</span> <span class="nb">int</span><span class="p">(</span><span class="n">mfloor</span><span class="p">(</span><span class="n">sqrt</span><span class="p">(</span><span class="n">n</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">/</span> <span class="mi">2</span> <span class="o">-</span> <span class="mf">0.5</span><span class="p">)</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -14261,7 +14265,7 @@ $$2397916$$
 <div class="prompt input_prompt">In&nbsp;[30]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="o">%</span><span class="k">time</span> mrank_of(23000000000000)
+<div class=" highlight hl-ipython3"><pre><span></span><span class="o">%</span><span class="k">time</span> mrank_of(23000000000000)
 </pre></div>
 
     </div>
@@ -14278,8 +14282,8 @@ $$2397916$$
 
 
 <div class="output_subarea output_stream output_stdout output_text">
-<pre>CPU times: user 0 ns, sys: 0 ns, total: 0 ns
-Wall time: 12.9 µs
+<pre>CPU times: user 7 µs, sys: 1 µs, total: 8 µs
+Wall time: 10 µs
 </pre>
 </div>
 </div>
@@ -14292,7 +14296,7 @@ Wall time: 12.9 µs
 
 
 <div class="output_latex output_subarea output_execute_result">
-$$2397916$$
+$\displaystyle 2397916$
 </div>
 
 </div>
@@ -14314,7 +14318,7 @@ $$2397916$$
 <div class="prompt input_prompt">In&nbsp;[31]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">offset_of</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">k</span><span class="p">):</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">offset_of</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">k</span><span class="p">):</span>
     <span class="k">return</span> <span class="p">(</span><span class="n">n</span> <span class="o">-</span> <span class="mi">2</span> <span class="o">+</span> <span class="mi">4</span> <span class="o">*</span> <span class="n">k</span> <span class="o">*</span> <span class="p">(</span><span class="n">k</span> <span class="o">-</span> <span class="mi">1</span><span class="p">))</span> <span class="o">%</span> <span class="p">(</span><span class="mi">2</span> <span class="o">*</span> <span class="n">k</span><span class="p">)</span>
 </pre></div>
 
@@ -14336,7 +14340,7 @@ $$2397916$$
 <div class="prompt input_prompt">In&nbsp;[32]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">offset_of</span><span class="p">(</span><span class="mi">23000000000000</span><span class="p">,</span> <span class="mi">2397916</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">offset_of</span><span class="p">(</span><span class="mi">23000000000000</span><span class="p">,</span> <span class="mi">2397916</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -14355,7 +14359,7 @@ $$2397916$$
 
 
 <div class="output_latex output_subarea output_execute_result">
-$$223606$$
+$\displaystyle 223606$
 </div>
 
 </div>
@@ -14377,7 +14381,7 @@ $$223606$$
 <div class="prompt input_prompt">In&nbsp;[33]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="k">def</span> <span class="nf">rank_of</span><span class="p">(</span><span class="n">n</span><span class="p">):</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">rank_of</span><span class="p">(</span><span class="n">n</span><span class="p">):</span>
     <span class="k">return</span> <span class="nb">int</span><span class="p">(</span><span class="n">mfloor</span><span class="p">(</span><span class="n">sqrt</span><span class="p">(</span><span class="n">n</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">/</span> <span class="mi">2</span> <span class="o">-</span> <span class="mf">0.5</span><span class="p">)</span> <span class="o">+</span> <span class="mi">1</span><span class="p">)</span>
 
 
@@ -14405,7 +14409,7 @@ $$223606$$
 <div class="prompt input_prompt">In&nbsp;[34]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">aoc20173</span><span class="p">(</span><span class="mi">23</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">aoc20173</span><span class="p">(</span><span class="mi">23</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -14424,7 +14428,7 @@ $$223606$$
 
 
 <div class="output_latex output_subarea output_execute_result">
-$$2$$
+$\displaystyle 2$
 </div>
 
 </div>
@@ -14438,7 +14442,7 @@ $$2$$
 <div class="prompt input_prompt">In&nbsp;[35]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">aoc20173</span><span class="p">(</span><span class="mi">23000</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">aoc20173</span><span class="p">(</span><span class="mi">23000</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -14457,7 +14461,7 @@ $$2$$
 
 
 <div class="output_latex output_subarea output_execute_result">
-$$105$$
+$\displaystyle 105$
 </div>
 
 </div>
@@ -14471,7 +14475,7 @@ $$105$$
 <div class="prompt input_prompt">In&nbsp;[36]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">aoc20173</span><span class="p">(</span><span class="mi">23000000000000</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">aoc20173</span><span class="p">(</span><span class="mi">23000000000000</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -14490,7 +14494,7 @@ $$105$$
 
 
 <div class="output_latex output_subarea output_execute_result">
-$$4572225$$
+$\displaystyle 4572225$
 </div>
 
 </div>
@@ -14504,7 +14508,7 @@ $$4572225$$
 <div class="prompt input_prompt">In&nbsp;[37]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="o">%</span><span class="k">time</span> aoc20173(23000000000000000000000000)  # Fast for large values.
+<div class=" highlight hl-ipython3"><pre><span></span><span class="o">%</span><span class="k">time</span> aoc20173(23000000000000000000000000)  # Fast for large values.
 </pre></div>
 
     </div>
@@ -14521,8 +14525,8 @@ $$4572225$$
 
 
 <div class="output_subarea output_stream output_stdout output_text">
-<pre>CPU times: user 0 ns, sys: 0 ns, total: 0 ns
-Wall time: 20 µs
+<pre>CPU times: user 22 µs, sys: 2 µs, total: 24 µs
+Wall time: 26.7 µs
 </pre>
 </div>
 </div>
@@ -14535,7 +14539,7 @@ Wall time: 20 µs
 
 
 <div class="output_latex output_subarea output_execute_result">
-$$2690062495969$$
+$\displaystyle 2690062495969$
 </div>
 
 </div>
@@ -14557,7 +14561,7 @@ $$2690062495969$$
 <div class="prompt input_prompt">In&nbsp;[38]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="kn">from</span> <span class="nn">notebook_preamble</span> <span class="kn">import</span> <span class="n">J</span><span class="p">,</span> <span class="n">V</span><span class="p">,</span> <span class="n">define</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">notebook_preamble</span> <span class="kn">import</span> <span class="n">J</span><span class="p">,</span> <span class="n">V</span><span class="p">,</span> <span class="n">define</span>
 </pre></div>
 
     </div>
@@ -14588,7 +14592,7 @@ rank_of == -- sqrt 2 / 0.5 - floor ++</code></pre>
 <div class="prompt input_prompt">In&nbsp;[39]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;rank_of == -- sqrt 2 / 0.5 - floor ++&#39;</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;rank_of -- sqrt 2 / 0.5 - floor ++&#39;</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -14637,7 +14641,7 @@ n-k*k-1*4+2%k*2
 <div class="prompt input_prompt">In&nbsp;[40]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;offset_of == dup 2 * [dup -- 4 * * 2 + -] dip %&#39;</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;offset_of dup 2 * [dup -- 4 * * 2 + -] dip %&#39;</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -14670,7 +14674,7 @@ k+|i-k-1|</code></pre>
 <div class="prompt input_prompt">In&nbsp;[41]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;row_value == over -- - abs +&#39;</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;row_value over -- - abs +&#39;</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -14701,7 +14705,7 @@ m</code></pre>
 <div class="prompt input_prompt">In&nbsp;[42]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;aoc2017.3 == dup rank_of [offset_of] dupdip swap row_value&#39;</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;aoc2017.3 dup rank_of [offset_of] dupdip swap row_value&#39;</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -14714,7 +14718,7 @@ m</code></pre>
 <div class="prompt input_prompt">In&nbsp;[43]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;23 aoc2017.3&#39;</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;23 aoc2017.3&#39;</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -14745,7 +14749,7 @@ m</code></pre>
 <div class="prompt input_prompt">In&nbsp;[44]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;23000 aoc2017.3&#39;</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;23000 aoc2017.3&#39;</span><span class="p">)</span>
 </pre></div>
 
     </div>
@@ -14776,7 +14780,7 @@ m</code></pre>
 <div class="prompt input_prompt">In&nbsp;[45]:</div>
 <div class="inner_cell">
     <div class="input_area">
-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;23000000000000 aoc2017.3&#39;</span><span class="p">)</span>
+<div class=" highlight hl-ipython3"><pre><span></span><span class="n">V</span><span class="p">(</span><span class="s1">&#39;23000000000000 aoc2017.3&#39;</span><span class="p">)</span>
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@@ -14793,45 +14797,45 @@ m</code></pre>
 
 
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-<pre>                                                    . 23000000000000 aoc2017.3
-                                     23000000000000 . aoc2017.3
-                                     23000000000000 . dup rank_of [offset_of] dupdip swap row_value
-                      23000000000000 23000000000000 . rank_of [offset_of] dupdip swap row_value
-                      23000000000000 23000000000000 . -- sqrt 2 / 0.5 - floor ++ [offset_of] dupdip swap row_value
-                      23000000000000 22999999999999 . sqrt 2 / 0.5 - floor ++ [offset_of] dupdip swap row_value
-                   23000000000000 4795831.523312615 . 2 / 0.5 - floor ++ [offset_of] dupdip swap row_value
-                 23000000000000 4795831.523312615 2 . / 0.5 - floor ++ [offset_of] dupdip swap row_value
-                  23000000000000 2397915.7616563076 . 0.5 - floor ++ [offset_of] dupdip swap row_value
-              23000000000000 2397915.7616563076 0.5 . - floor ++ [offset_of] dupdip swap row_value
-                  23000000000000 2397915.2616563076 . floor ++ [offset_of] dupdip swap row_value
-                             23000000000000 2397915 . ++ [offset_of] dupdip swap row_value
-                             23000000000000 2397916 . [offset_of] dupdip swap row_value
-                 23000000000000 2397916 [offset_of] . dupdip swap row_value
-                             23000000000000 2397916 . offset_of 2397916 swap row_value
-                             23000000000000 2397916 . dup 2 * [dup -- 4 * * 2 + -] dip % 2397916 swap row_value
-                     23000000000000 2397916 2397916 . 2 * [dup -- 4 * * 2 + -] dip % 2397916 swap row_value
-                   23000000000000 2397916 2397916 2 . * [dup -- 4 * * 2 + -] dip % 2397916 swap row_value
-                     23000000000000 2397916 4795832 . [dup -- 4 * * 2 + -] dip % 2397916 swap row_value
-23000000000000 2397916 4795832 [dup -- 4 * * 2 + -] . dip % 2397916 swap row_value
-                             23000000000000 2397916 . dup -- 4 * * 2 + - 4795832 % 2397916 swap row_value
-                     23000000000000 2397916 2397916 . -- 4 * * 2 + - 4795832 % 2397916 swap row_value
-                     23000000000000 2397916 2397915 . 4 * * 2 + - 4795832 % 2397916 swap row_value
-                   23000000000000 2397916 2397915 4 . * * 2 + - 4795832 % 2397916 swap row_value
-                     23000000000000 2397916 9591660 . * 2 + - 4795832 % 2397916 swap row_value
-                      23000000000000 22999994980560 . 2 + - 4795832 % 2397916 swap row_value
-                    23000000000000 22999994980560 2 . + - 4795832 % 2397916 swap row_value
-                      23000000000000 22999994980562 . - 4795832 % 2397916 swap row_value
-                                            5019438 . 4795832 % 2397916 swap row_value
-                                    5019438 4795832 . % 2397916 swap row_value
-                                             223606 . 2397916 swap row_value
-                                     223606 2397916 . swap row_value
-                                     2397916 223606 . row_value
-                                     2397916 223606 . over -- - abs +
-                             2397916 223606 2397916 . -- - abs +
-                             2397916 223606 2397915 . - abs +
-                                   2397916 -2174309 . abs +
-                                    2397916 2174309 . +
-                                            4572225 . 
+<pre>                                                    • 23000000000000 aoc2017.3
+                                     23000000000000 • aoc2017.3
+                                     23000000000000 • dup rank_of [offset_of] dupdip swap row_value
+                      23000000000000 23000000000000 • rank_of [offset_of] dupdip swap row_value
+                      23000000000000 23000000000000 • -- sqrt 2 / 0.5 - floor ++ [offset_of] dupdip swap row_value
+                      23000000000000 22999999999999 • sqrt 2 / 0.5 - floor ++ [offset_of] dupdip swap row_value
+                   23000000000000 4795831.523312615 • 2 / 0.5 - floor ++ [offset_of] dupdip swap row_value
+                 23000000000000 4795831.523312615 2 • / 0.5 - floor ++ [offset_of] dupdip swap row_value
+                  23000000000000 2397915.7616563076 • 0.5 - floor ++ [offset_of] dupdip swap row_value
+              23000000000000 2397915.7616563076 0.5 • - floor ++ [offset_of] dupdip swap row_value
+                  23000000000000 2397915.2616563076 • floor ++ [offset_of] dupdip swap row_value
+                             23000000000000 2397915 • ++ [offset_of] dupdip swap row_value
+                             23000000000000 2397916 • [offset_of] dupdip swap row_value
+                 23000000000000 2397916 [offset_of] • dupdip swap row_value
+                             23000000000000 2397916 • offset_of 2397916 swap row_value
+                             23000000000000 2397916 • dup 2 * [dup -- 4 * * 2 + -] dip % 2397916 swap row_value
+                     23000000000000 2397916 2397916 • 2 * [dup -- 4 * * 2 + -] dip % 2397916 swap row_value
+                   23000000000000 2397916 2397916 2 • * [dup -- 4 * * 2 + -] dip % 2397916 swap row_value
+                     23000000000000 2397916 4795832 • [dup -- 4 * * 2 + -] dip % 2397916 swap row_value
+23000000000000 2397916 4795832 [dup -- 4 * * 2 + -] • dip % 2397916 swap row_value
+                             23000000000000 2397916 • dup -- 4 * * 2 + - 4795832 % 2397916 swap row_value
+                     23000000000000 2397916 2397916 • -- 4 * * 2 + - 4795832 % 2397916 swap row_value
+                     23000000000000 2397916 2397915 • 4 * * 2 + - 4795832 % 2397916 swap row_value
+                   23000000000000 2397916 2397915 4 • * * 2 + - 4795832 % 2397916 swap row_value
+                     23000000000000 2397916 9591660 • * 2 + - 4795832 % 2397916 swap row_value
+                      23000000000000 22999994980560 • 2 + - 4795832 % 2397916 swap row_value
+                    23000000000000 22999994980560 2 • + - 4795832 % 2397916 swap row_value
+                      23000000000000 22999994980562 • - 4795832 % 2397916 swap row_value
+                                            5019438 • 4795832 % 2397916 swap row_value
+                                    5019438 4795832 • % 2397916 swap row_value
+                                             223606 • 2397916 swap row_value
+                                     223606 2397916 • swap row_value
+                                     2397916 223606 • row_value
+                                     2397916 223606 • over -- - abs +
+                             2397916 223606 2397916 • -- - abs +
+                             2397916 223606 2397915 • - abs +
+                                   2397916 -2174309 • abs +
+                                    2397916 2174309 • +
+                                            4572225 • 
 </pre>
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