虫食い算
問題の解答

7つの7
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | ５ | ８ | ７ | ８ | １ |
| １ | ２ | ５ | ４ | ７ | ３ | ） | ７ | ３ | ７ | ５ | ４ | ２ | ８ | ４ | １ | ３ |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | ６ | ２ | ７ | ３ | ６ | ５ | 　 | 　 | 　 | 　 |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | １ | １ | ０ | １ | ７ | ７ | ８ | 　 | 　 | 　 |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | １ | ０ | ０ | ３ | ７ | ８ | ４ | 　 | 　 | 　 |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | ９ | ７ | ９ | ９ | ４ | ４ | 　 | 　 |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | ８ | ７ | ８ | ３ | １ | １ | 　 | 　 |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | １ | ０ | １ | ６ | ３ | ３ | １ | 　 |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | １ | ０ | ０ | ３ | ７ | ８ | ４ | 　 |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | １ | ２ | ５ | ４ | ７ | ３ |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | １ | ２ | ５ | ４ | ７ | ３ |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | ０ |
SEND＋MORE＝MONEY
| 0 | 1 | 2 | 3 | 4 | 5 |
| --- | --- | --- | --- | --- | --- |
| 　 | 　 | ９ | ５ | ６ | ７ |
| ＋ | 　 | １ | ０ | ８ | ５ |
| 　 | １ | ０ | ６ | ５ | ２ |
例題
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 　 | 　 | 　 | ４ | ７ | ５ | ６ | ８ | 　 |
| 　 | × | 　 | 　 | 　 | 　 | 　 | ７ | 　 |
| 　 | 　 | ３ | ３ | ２ | ９ | ７ | ６ | 　 |
孤独の7
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | ９ | ７ | ８ | ０ | ９ |
| １ | ２ | ４ | ） | １ | ２ | １ | ２ | ８ | ３ | １ | ６ |
| 　 | 　 | 　 | 　 | １ | １ | １ | ６ | 　 | 　 | 　 | 　 |
| 　 | 　 | 　 | 　 | 　 | 　 | ９ | ６ | ８ | 　 | 　 | 　 |
| 　 | 　 | 　 | 　 | 　 | 　 | ８ | ６ | ８ | 　 | 　 | 　 |
| 　 | 　 | 　 | 　 | 　 | 　 | １ | ０ | ０ | ３ | 　 | 　 |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | ９ | ９ | ２ | 　 | 　 |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | １ | １ | １ | ６ |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | １ | １ | １ | ６ |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | 　 | ０ |
まったく条件のつかない完全虫食い算
１＋１＋１＋１＋１＋１＋１＋１＋１＝９
0以外の偶数のみを使う完全虫食い算
| 0 | 1 | 2 | 3 |
| --- | --- | --- | --- |
　: ２
| × | 　 | ２ | ２ |
　: ４
| ４ | ４ | ４ | 　 |
| ４ | ８ | ８ | ４ |
小町虫食い算
ダブル小町完全虫食い算
| 0 | 1 | 2 | 3 | 4 |
| --- | --- | --- | --- | --- |
| 　 | 　 | １ | ７ | ９ |
| × | 　 | ２ | ２ | ４ |
| 　 | 　 | ７ | １ | ６ |
| 　 | ３ | ５ | ８ | 　 |
| ３ | ５ | ８ | 　 | 　 |
| ４ | ０ | ０ | ９ | ６ |
多重虫食い算
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| --- | --- | --- | --- | --- | --- | --- | --- |
| 　 | 　 | 　 | 　 | 　 | １ | １ | ８ |
| ９ | ２ | ） | １ | ０ | ❽ | ５ | ６ |
| 　 | 　 | 　 | 　 | ９ | ❷ | 　 | 　 |
| 　 | 　 | 　 | 　 | ❶ | ❻ | ５ | 　 |
| 　 | 　 | 　 | 　 | 　 | ９ | ２ | 　 |
| 　 | 　 | 　 | 　 | 　 | ７ | ３ | ６ |
| 　 | 　 | 　 | 　 | 　 | ７ | ３ | ６ |
| 　 | 　 | 　 | 　 | 　 | 　 | 　 | ０ |
グループ化
| 0 | 1 | 2 |
| --- | --- | --- |
| 　 | １ | ８ |
| × | ４ | ９ |
| １ | ６ | ２ |
| ７ | ２ | 　 |
| ８ | ８ | ２ |
足し算
122+334＝456, 1+70+10+10＝91, 123+666＝789
ルートと階乗の問題
＝5
対数の問題
log2401+log4096＝10
開平算
| 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| --- | --- | --- | --- | --- | --- | --- |
| 　 | 　 | ３ | 　 | １ | 　 | ７ |
| √ | １ | ０ | ０ | ４ | ８ | ９ |
| 　 | 　 | ９ | 　 | 　 | 　 | 　 |
| 　 | 　 | １ | ０ | ４ | 　 | 　 |
| 　 | 　 | 　 | ６ | １ | 　 | 　 |
| 　 | 　 | 　 | ４ | ３ | ８ | ９ |
| 　 | 　 | 　 | ４ | ３ | ８ | ９ |
| 　 | 　 | 　 | 　 | 　 | 　 | ０ |
大きい虫食い算（まったく条件のつかない完全虫食い算）
１＋…（10－1個）…＋１＝９…（桁）…９
大きい虫食い算（0以外の偶数のみを使う完全虫食い算）
２…（桁）…２×２２＝４８…（－1桁）…８４