算数に強くなる!水道方式【水道方式とは何か】

算数を理解するための最善の方法

÷2位数[商2~3位数](型分け)

3位数÷2位数[商2位数]の型分け

この型の計算は、2位数÷2位数[商1位数]の複合となっていることに気づかせます。
(1)商の立てる位置を決め、
(2)《たてる》⇒《かける》⇒《ひく》⇒《おろす》の順番で計算を行い、
(3)退化型に進みます。
\boxtimesは空位である場合を含みます。)


[1] 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.2em}\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square \\ \ &\ &\hspace{-1.75em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1em}\square\square\square \\ \ &\ &\hspace{-1em}\square\square\square \\ \cline{2-3} \ &\ &\hspace{-0.12em}\boxtimes\square \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em27& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 419 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em27& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 439 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em48& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 698 \\ \end{array}

[2] 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.2em}\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square \\ \ &\ &\hspace{-1.75em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1em}\square\square\square \\ \ &\ &\hspace{-1em}\square\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}0 \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em27& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 432 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em36& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 828 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em23& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 391 \\ \end{array}

[3] 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.2em}\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square \\ \ &\ &\hspace{-1.75em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1em}\square\square\square \\ \ &\ &\hspace{-0.2em}\square\square \\ \cline{2-3} \ &\ &\hspace{-0.2em}\boxtimes\square \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em48& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 598 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em72& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 857 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em46& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 561 \\ \end{array}

[4][5] 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.2em}\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square \\ \ &\ &\hspace{-1.75em}\square\square \\ \cline{2-3} \ &\ &\hspace{-0.2em}\square\square \\ \ &\ &\hspace{-0.2em}\square\square \\ \cline{2-3} \ &\ &\hspace{-0.2em}\boxtimes\boxtimes \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em13& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 324 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em27& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 338 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em36& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 768 \\ \end{array}

[6]退化 問題
 \setstretch{0.9} \begin{array}{rcc} \ &\ &\hspace{-0.2em}\square\hspace{0.2em}0 \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square \\ \ &\ &\hspace{-1.75em}\square\square \\ \cline{2-3} \ &\ &\hspace{-0.2em}\square\square \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em15& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 912 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em21& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 853 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em32& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 981 \\ \end{array}

[7]退化 問題
 \setstretch{0.9} \begin{array}{rcc} \ &\ &\hspace{-0.2em}\square\hspace{0.2em}0 \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square \\ \ &\ &\hspace{-1.75em}\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}\square \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em15& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 754 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em32& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 968 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em21& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 845 \\ \end{array}

[8]退化 問題
 \setstretch{0.9} \begin{array}{rcc} \ &\ &\hspace{-0.2em}\square\hspace{0.2em}0 \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\hspace{0.2em}0 \\ \ &\ &\hspace{-1.75em}\square\square \\ \cline{2-3} \ &\ &\hspace{0.8em}0 \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em21& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 840 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em25& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 750 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em15& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 900 \\ \end{array}


4位数÷2位数[商3位数]の型分け

この型が÷2位数の天王山です。これをマスターすることで、除数が多位数の計算にも対応できます。
4位数÷2位数が到達点となり、水源地型もこの計算の中に存在します。商が1位数の÷2位数の計算を、準素過程として捉えた場合、商が3位数になる水源地型は、準素過程の3段階の複合であることがわかります。
(1)準素過程の3段階の複合であることに気づかせ、
(2)《たてる》⇒《かける》⇒《ひく》⇒《おろす》の順番で計算を行い、
(3)退化型に進みます。
\boxtimesは空位である場合を含みます。準素過程という名は当サイトの著者がつけた名称です。)


[1]水源地型 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1.8em}\square\square\square \\ \ &\ &\hspace{-1.8em}\square\square\square \\ \cline{2-3} \ &\ &\hspace{-0.16em}\square\square\square \\ \ &\ &\hspace{-0.16em}\square\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}\boxtimes\boxtimes\\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em63& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 9895 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em64& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 8456 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em66& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 8979 \\ \end{array}

[2] 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1.8em}\square\square\square \\ \ &\ &\hspace{-1.8em}\square\square\square \\ \cline{2-3} \ &\ &\hspace{-0.16em}\square\square\square \\ \ &\ &\hspace{0.6em}\square\square\\ \cline{2-3} \ &\ &\hspace{0.6em}\boxtimes\square \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em37& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 5290 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em47& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 4341 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em97& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 1081 \\ \end{array}

[3] 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1.8em}\square\square\square \\ \ &\ &\hspace{-1.8em}\square\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}\square\square\\ \ &\ &\hspace{0.6em}\square\square\\ \cline{2-3} \ &\ &\hspace{0.6em}\boxtimes\boxtimes\\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em27& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 4393 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em23& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 3950 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em12& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 3576 \\ \end{array}

[4] 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1.8em}\square\square\square \\ \ &\ &\hspace{-1em}\square\square \\ \cline{2-3} \ &\ &\hspace{-0.16em}\square\square\square \\ \ &\ &\hspace{-0.16em}\square\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}\boxtimes\boxtimes\\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em89& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 9718 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em38& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 8614 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em46& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 5710 \\ \end{array}

[5] 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1.8em}\square\square\square \\ \ &\ &\hspace{-1em}\square\square \\ \cline{2-3} \ &\ &\hspace{-0.16em}\square\square\square \\ \ &\ &\hspace{0.6em}\square\square\\ \cline{2-3} \ &\ &\hspace{0.6em}\boxtimes\square\\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em48& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 5901 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em89& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 9901 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em89& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 9903 \\ \end{array}

[6] 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1.8em}\square\square\square \\ \ &\ &\hspace{-1em}\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}\square\square\\ \ &\ &\hspace{0.6em}\square\square\\ \cline{2-3} \ &\ &\hspace{0.6em}\boxtimes\square\\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em46& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 5610 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em16& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 2605 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em12& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 4644 \\ \end{array}

[7] 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1em}\square\square \\ \ &\ &\hspace{-1em}\square\square \\ \cline{2-3} \ &\ &\hspace{-0.16em}\square\square\square \\ \ &\ &\hspace{-0.16em}\square\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}\boxtimes\boxtimes\\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em13& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 3249 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em46& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 9941 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em37& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 7918 \\ \end{array}

[8] 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1em}\square\square \\ \ &\ &\hspace{-1em}\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}\square \square \\ \ &\ &\hspace{0.6em}\square \square \\ \cline{2-3} \ &\ &\hspace{0.6em}\boxtimes\boxtimes\\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em42& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 8872 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em13& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 3141 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em37& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 7844 \\ \end{array}

[9]一次退化 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1.8em}\square\square\square \\ \ &\ &\hspace{-1.8em}\square\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}\boxtimes\square \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em27& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 4331 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em37& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 9273 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em23& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 3915 \\ \end{array}

[10]一次退化 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\square\hspace{0.2em}0 \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\hspace{0.2em}0 \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1.8em}\square\square\square \\ \ &\ &\hspace{-1.8em}\square\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}\hspace{1em}0 \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em27& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 4320 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em36& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 8280 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em23& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 3910 \\ \end{array}

[11]一次退化 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1.8em}\square\square\square \\ \ &\ &\hspace{-1em}\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}\square \square \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em48& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 5801 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em49& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 5907 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em48& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 5900 \\ \end{array}

[12]一次退化 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\square\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1em}\square\square \\ \ &\ &\hspace{-1em}\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}\boxtimes\square \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em42& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 8832 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em37& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 7791 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em15& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 7651 \\ \end{array}

[13]一次退化 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\square\hspace{0.2em}0 \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\hspace{0.2em}0 \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-1em}\square\square \\ \ &\ &\hspace{-1em}\square\square \\ \cline{2-3} \ &\ &\hspace{1.5em}\hspace{0.2em}0 \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em18& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 3960 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em27& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 8370 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em37& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 8140 \\ \end{array}

[14]一次退化 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\hspace{0.2em}0\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-0.16em}\square\square\square \\ \ &\ &\hspace{-0.16em}\square\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}\boxtimes\square \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em37& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 7623 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em43& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 8731 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em34& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 6970 \\ \end{array}

[15]一次退化 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\hspace{0.2em}0\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{-0.16em}\square\square\square \\ \ &\ &\hspace{0.6em}\square \square \\ \cline{2-3} \ &\ &\hspace{0.6em}\boxtimes\square \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em48& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 9713 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em27& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 8200 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em18& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 3701 \\ \end{array}

[16]一次退化 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\hspace{0.2em}0\square \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}\square \square \\ \ &\ &\hspace{0.6em}\square \square \\ \cline{2-3} \ &\ &\hspace{0.6em}\boxtimes\boxtimes\\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em15& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 7551 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em48& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 9652 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em15& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 7545 \\ \end{array}

[17]二次退化 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\hspace{0.2em}0\hspace{0.2em}0 \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\square\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{0.6em}\square \square \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em32& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 9623 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em15& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 6012 \\ \end{array}

 \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em43& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 8629 \\ \end{array}

[18]二次退化 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\hspace{0.2em}0\hspace{0.2em}0 \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\hspace{0.2em}0\square \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{1.4em}\square \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em32& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 9602 \\ \end{array}

 \setstretch{0.9} \begin{array}{rcc} \cline{2-3} \kern1em15& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 6002 \\ \end{array}

 \setstretch{0.9} \begin{array}{rcc} \cline{2-3} \kern1em15& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 7508 \\ \end{array}

[19]二次退化 問題
 \setstretch{0.8} \begin{array}{rcc} \ &\ &\hspace{-0.1em}\square\hspace{0.2em}0\hspace{0.2em}0 \\ \cline{2-3} \kern1em\square\square& \kern-0.6em {\big)} \kern0.1em & \hspace{-1em}\square\square\hspace{0.2em}0\hspace{0.2em}0 \\ \ &\ &\hspace{-2.5em}\square\square \\ \cline{2-3} \ &\ &\hspace{1.4em}\hspace{0.2em}0 \\ \end{array}  \setstretch{0.8} \begin{array}{rcc} \cline{2-3} \kern1em21& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 8400 \\ \end{array}

 \setstretch{0.9} \begin{array}{rcc} \cline{2-3} \kern1em25& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 7500 \\ \end{array}

 \setstretch{0.9} \begin{array}{rcc} \cline{2-3} \kern1em32& \kern-0.6em {\big)} \kern0.1em & \hspace{-0.8em} 9600 \\ \end{array}


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