fix: address second round of code review findings for Sherlock and Divisors

- Fix set notation: {k|k|(n/2)} → { k | k∣(n/2) } (and left-hand side)
- Replace nav.innerHTML template literals with DOM createElement/textContent
- Add setErr('') to preset button onClick handlers to clear validation state
- Fix public file: Prism theme CSS CDN → /vendor/prismjs/themes/prism-tomorrow.min.css

Author: myoshi2891

Mathematics/Fundamentals/HackerRank/Claude/Easy/Sherlock and Divisors/Sherlock_and_Divisors.html

@@ -1321,6 +1321,7 @@ <h2 className="text-3xl font-black text-cyan-700 mb-2 pb-3 border-b-4 border-eme
                                         key={v}
                                         type="button"
                                         onClick={() => {
+                                            setErr('');
                                             setEdit(String(v));
                                             setSteps(makeSteps(v));
                                             setN(v);
@@ -1482,7 +1483,7 @@ <h3 className="font-bold text-emerald-800 mb-2 text-base">
                                 <p className="text-slate-600 text-sm leading-relaxed">
                                     写像 <code className="dm">φ: d → d/2</code> は{' '}
                                     <code className="dm text-xs">
-                                        {'{d|n,2|d}'} → {'{k|k|(n/2)}'}
+                                        {'{ d | d∣n, 2∣d }'} → {'{ k | k∣(n/2) }'}
                                     </code>{' '}
                                     の<strong>全単射</strong>。問題を{' '}
                                     <code className="dm">m=n/2</code> の約数カウントに帰着できる。
@@ -2093,13 +2094,18 @@ <h2 className="text-3xl font-black text-cyan-700 mb-4 pb-3 border-b-4 border-eme
                     'faq',
                 ];
                 const nav = document.getElementById('main-nav');
-                if (nav)
-                    nav.innerHTML = labels
-                        .map(
-                            (l, i) =>
-                                `<a href="#${ids[i]}" style="font-family:'Noto Sans JP',sans-serif" class="inline-block px-4 py-2 font-semibold text-slate-700 no-underline rounded-xl border-2 border-white/60 bg-white/70 text-sm transition hover:shadow-md hover:-translate-y-px hover:bg-white hover:border-teal-500">${l}</a>`,
-                        )
-                        .join('');
+                if (nav) {
+                    nav.textContent = '';
+                    labels.forEach((l, i) => {
+                        const a = document.createElement('a');
+                        a.href = '#' + ids[i];
+                        a.className =
+                            'inline-block px-4 py-2 font-semibold text-slate-700 no-underline rounded-xl border-2 border-white/60 bg-white/70 text-sm transition hover:shadow-md hover:-translate-y-px hover:bg-white hover:border-teal-500';
+                        a.style.fontFamily = "'Noto Sans JP',sans-serif";
+                        a.textContent = l;
+                        nav.appendChild(a);
+                    });
+                }
             });
         </script>
     </body>

public/Mathematics/Fundamentals/HackerRank/Claude/Easy/Sherlock and Divisors/Sherlock_and_Divisors.html

@@ -1321,6 +1321,7 @@ <h2 className="text-3xl font-black text-cyan-700 mb-2 pb-3 border-b-4 border-eme
                                         key={v}
                                         type="button"
                                         onClick={() => {
+                                            setErr('');
                                             setEdit(String(v));
                                             setSteps(makeSteps(v));
                                             setN(v);
@@ -1482,7 +1483,7 @@ <h3 className="font-bold text-emerald-800 mb-2 text-base">
                                 <p className="text-slate-600 text-sm leading-relaxed">
                                     写像 <code className="dm">φ: d → d/2</code> は{' '}
                                     <code className="dm text-xs">
-                                        {'{d|n,2|d}'} → {'{k|k|(n/2)}'}
+                                        {'{ d | d∣n, 2∣d }'} → {'{ k | k∣(n/2) }'}
                                     </code>{' '}
                                     の<strong>全単射</strong>。問題を{' '}
                                     <code className="dm">m=n/2</code> の約数カウントに帰着できる。
@@ -2093,13 +2094,18 @@ <h2 className="text-3xl font-black text-cyan-700 mb-4 pb-3 border-b-4 border-eme
                     'faq',
                 ];
                 const nav = document.getElementById('main-nav');
-                if (nav)
-                    nav.innerHTML = labels
-                        .map(
-                            (l, i) =>
-                                `<a href="#${ids[i]}" style="font-family:'Noto Sans JP',sans-serif" class="inline-block px-4 py-2 font-semibold text-slate-700 no-underline rounded-xl border-2 border-white/60 bg-white/70 text-sm transition hover:shadow-md hover:-translate-y-px hover:bg-white hover:border-teal-500">${l}</a>`,
-                        )
-                        .join('');
+                if (nav) {
+                    nav.textContent = '';
+                    labels.forEach((l, i) => {
+                        const a = document.createElement('a');
+                        a.href = '#' + ids[i];
+                        a.className =
+                            'inline-block px-4 py-2 font-semibold text-slate-700 no-underline rounded-xl border-2 border-white/60 bg-white/70 text-sm transition hover:shadow-md hover:-translate-y-px hover:bg-white hover:border-teal-500';
+                        a.style.fontFamily = "'Noto Sans JP',sans-serif";
+                        a.textContent = l;
+                        nav.appendChild(a);
+                    });
+                }
             });
         </script>
     </body>

public/index.html

@@ -791,7 +791,7 @@ <h1 class="site-title">
 
     <footer>
         <span class="footer-icon">🧪</span>
-        Generated on 2026-02-25 10:02:16 UTC
+        Generated on 2026-02-25 10:23:15 UTC
     </footer>
 
     <script>