fix(math): update Mermaid flowchart Compare node labels and CheckEmpty error branch in Palindrome Number and Roman to Integer

Author: myoshi2891

Mathematics/Palindrome/leetcode/9. Palindrome Number/claud sonnet 5/README_react.html

@@ -610,7 +610,7 @@
                     '  Loop -- はい --> Extract[最下位桁をrevertedHalfへ追加する]',
                     '  Extract --> Shrink[originalの最下位桁を切り捨てる]',
                     '  Shrink --> Loop',
-                    '  Loop -- いいえ --> Compare{original == revertedHalf または x == rev // 10 か}',
+                    '  Loop -- いいえ --> Compare{originalとrevertedHalfが一致するか}',
                     '  Compare -- はい --> RetTrue[trueを返す]',
                     '  Compare -- いいえ --> RetFalse3[falseを返す]',
                     '  classDef startEnd fill:#d1fae5,stroke:#10b981,stroke-width:2px,color:#065f46;',

Mathematics/Roman numerals/leetcode/13. Roman to Integer/sonnet 5/README_react.html

@@ -1144,7 +1144,7 @@ <h1 class="outfit text-[2.4rem] font-extrabold text-teal-900 mb-1">
                     '  Start[処理開始 romanToInt呼び出し]',
                     '  Start --> Validate[入力の型と長さを検証]',
                     '  Validate --> CheckEmpty{文字列は空か}',
-                    '  CheckEmpty -- Yes --> RetZero[0を返す]',
+                    '  CheckEmpty -- Yes --> ErrEmpty[ValueError: Input cannot be empty]',
                     '  CheckEmpty -- No --> InitTotal[totalを0で初期化]',
                     '  InitTotal --> LoopCheck{未処理の文字が残っているか}',
                     '  LoopCheck -- No --> RetTotal[totalを返す]',
@@ -1159,7 +1159,9 @@ <h1 class="outfit text-[2.4rem] font-extrabold text-teal-900 mb-1">
                     '  classDef startEnd fill:#d1fae5,stroke:#10b981,stroke-width:2px,color:#065f46;',
                     '  classDef decision fill:#fef3c7,stroke:#f59e0b,stroke-width:2px,color:#92400e;',
                     '  classDef process fill:#e0f2fe,stroke:#0284c7,stroke-width:2px,color:#0c4a6e;',
-                    '  class Start,RetZero,RetTotal startEnd',
+                    '  classDef errNode fill:#fee2e2,stroke:#dc2626,stroke-width:2px,color:#991b1b;',
+                    '  class Start,RetTotal startEnd',
+                    '  class ErrEmpty errNode',
                     '  class CheckEmpty,LoopCheck,Compare decision',
                     '  class Validate,InitTotal,GetCurrent,GetNext,Subtract,Add,Advance process',
                     '  linkStyle 2 stroke:#059669,stroke-width:2px',

public/Mathematics/Palindrome/leetcode/9. Palindrome Number/claud sonnet 5/README_react.html

@@ -610,7 +610,7 @@
                     '  Loop -- はい --> Extract[最下位桁をrevertedHalfへ追加する]',
                     '  Extract --> Shrink[originalの最下位桁を切り捨てる]',
                     '  Shrink --> Loop',
-                    '  Loop -- いいえ --> Compare{original == revertedHalf または x == rev // 10 か}',
+                    '  Loop -- いいえ --> Compare{originalとrevertedHalfが一致するか}',
                     '  Compare -- はい --> RetTrue[trueを返す]',
                     '  Compare -- いいえ --> RetFalse3[falseを返す]',
                     '  classDef startEnd fill:#d1fae5,stroke:#10b981,stroke-width:2px,color:#065f46;',

public/Mathematics/Roman numerals/leetcode/13. Roman to Integer/sonnet 5/README_react.html

@@ -1144,7 +1144,7 @@ <h1 class="outfit text-[2.4rem] font-extrabold text-teal-900 mb-1">
                     '  Start[処理開始 romanToInt呼び出し]',
                     '  Start --> Validate[入力の型と長さを検証]',
                     '  Validate --> CheckEmpty{文字列は空か}',
-                    '  CheckEmpty -- Yes --> RetZero[0を返す]',
+                    '  CheckEmpty -- Yes --> ErrEmpty[ValueError: Input cannot be empty]',
                     '  CheckEmpty -- No --> InitTotal[totalを0で初期化]',
                     '  InitTotal --> LoopCheck{未処理の文字が残っているか}',
                     '  LoopCheck -- No --> RetTotal[totalを返す]',
@@ -1159,7 +1159,9 @@ <h1 class="outfit text-[2.4rem] font-extrabold text-teal-900 mb-1">
                     '  classDef startEnd fill:#d1fae5,stroke:#10b981,stroke-width:2px,color:#065f46;',
                     '  classDef decision fill:#fef3c7,stroke:#f59e0b,stroke-width:2px,color:#92400e;',
                     '  classDef process fill:#e0f2fe,stroke:#0284c7,stroke-width:2px,color:#0c4a6e;',
-                    '  class Start,RetZero,RetTotal startEnd',
+                    '  classDef errNode fill:#fee2e2,stroke:#dc2626,stroke-width:2px,color:#991b1b;',
+                    '  class Start,RetTotal startEnd',
+                    '  class ErrEmpty errNode',
                     '  class CheckEmpty,LoopCheck,Compare decision',
                     '  class Validate,InitTotal,GetCurrent,GetNext,Subtract,Add,Advance process',
                     '  linkStyle 2 stroke:#059669,stroke-width:2px',