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⟨ 3 2 1 ⟩
</pre>
<p>Finding how many times each index appears in a list of indices is often a useful thing to do, and there are a few ways to do it:</p>
-<a class="replLink" title="Open in the REPL" target="_blank" href="https://mlochbaum.github.io/BQN/try.html#code=K8udy5ggKOKGlTUpID3ijJwgMuKAvzLigL804oC/MeKAvzLigL8wICAjIEluZWZmaWNpZW50CgriiaDCqOKKlCAy4oC/MuKAvzTigL8x4oC/MuKAvzAKCi/igbziiKcgMuKAvzLigL804oC/MeKAvzLigL8w">↗️</a><pre> <span class='Function'>+</span><span class='Modifier'>˝˘</span> <span class='Paren'>(</span><span class='Function'>↕</span><span class='Number'>5</span><span class='Paren'>)</span> <span class='Function'>=</span><span class='Modifier'>⌜</span> <span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>1</span><span class='Ligature'>‿</span><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>0</span> <span class='Comment'># Inefficient
+<a class="replLink" title="Open in the REPL" target="_blank" href="https://mlochbaum.github.io/BQN/try.html#code=K8udy5ggKOKGlTUpID3ijJwgMuKAvzLigL804oC/MeKAvzLigL8wICAjIEluZWZmaWNpZW50CgriiaDCqOKKlCAy4oC/MuKAvzTigL8x4oC/MuKAvzAKCi/igbwgMuKAvzLigL804oC/MeKAvzLigL8w">↗️</a><pre> <span class='Function'>+</span><span class='Modifier'>˝˘</span> <span class='Paren'>(</span><span class='Function'>↕</span><span class='Number'>5</span><span class='Paren'>)</span> <span class='Function'>=</span><span class='Modifier'>⌜</span> <span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>1</span><span class='Ligature'>‿</span><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>0</span> <span class='Comment'># Inefficient
</span>⟨ 1 1 3 0 1 ⟩
<span class='Function'>≠</span><span class='Modifier'>¨</span><span class='Function'>⊔</span> <span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>1</span><span class='Ligature'>‿</span><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>0</span>
⟨ 1 1 3 0 1 ⟩
- <span class='Function'>/</span><span class='Modifier'>⁼</span><span class='Function'>∧</span> <span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>1</span><span class='Ligature'>‿</span><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>0</span>
+ <span class='Function'>/</span><span class='Modifier'>⁼</span> <span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>1</span><span class='Ligature'>‿</span><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>0</span>
⟨ 1 1 3 0 1 ⟩
</pre>
-<p>For <code><span class='Function'>/</span><span class='Modifier'>⁼</span></code> to work, the argument has to be sorted: otherwise it won't be a valid result of <code><span class='Function'>/</span></code>. But sorting with <code><span class='Function'>∧</span></code> is no problem, and <code><span class='Function'>/</span><span class='Modifier'>⁼</span><span class='Function'>∧</span></code> will probably be faster than <code><span class='Function'>≠</span><span class='Modifier'>¨</span><span class='Function'>⊔</span></code> in the absence of special handling for either combination.</p>
+<p>The last of these is an extension defined in the language specification. As we said, the result of Indices is always sorted, so properly there's no argument that could return <code><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>4</span><span class='Ligature'>‿</span><span class='Number'>1</span><span class='Ligature'>‿</span><span class='Number'>2</span><span class='Ligature'>‿</span><span class='Number'>0</span></code>. But the index-counting function is very useful, so <code><span class='Function'>/</span><span class='Modifier'>⁼</span></code> is defined to implicitly sort its argument (which is still required to be a list of natural numbers). Since <code><span class='Function'>/</span><span class='Modifier'>⁼</span></code> is implemented as a single operation, it's the best way to perform this counting task.</p>