666...6⊙666...7
6 ⊙ 7 = 42
66 ⊙ 67 = 4422
666 ⊙ 667 = 444222
6666 ⊙ 6667 = 44442222
芠诡瓃璸衡Α祇瞷砆计–计常琌6计埃计琌7ㄤ–计常琌6縩玡场计常琌4τ縩场计常琌26666 ⊙ 6667 = 44442222ㄒ砆计66664计常琌6砆计6667玡3计常琌6τ计琌7縩44442222玡场4计常琌4τ场4计常琌2
礛穦瞦稱666....6 ⊙ 666...7 = 444.......222ㄤい666....6 琌N计–计常琌6666....7 琌N计玡N-1计–计常琌6计琌7ㄢ计縩444.......222琌2N计玡N计常琌4N计常琌2
靡
安砞 N计 $\underbrace{666\cdots6}_{ N 6 }$N计 $\underbrace{666\cdots 6}_{ (N-1) 6 }7$
$\underbrace{666\cdots6}_{ N 6 }$ ⊙ $\underbrace{666\cdots 6}_{ (N-1) 6 }7$ =
$\underbrace{666\cdots6}_{ N 6 }$ ⊙($1\underbrace{000\cdots 0}_{ N 0 }$ - $\underbrace{333\cdots 3}_{ N 3 } $) =
$\underbrace{666\cdots6}_{ N 6 }$$\underbrace{000\cdots0}_{ N 0 }$ - $\underbrace{666\cdots6}_{ N 6 }$ ⊙ $\underbrace{333\cdots 3}_{ N 3 } $ =
$\underbrace{666\cdots6}_{ N 6 }$$\underbrace{000\cdots0}_{ N 0 }$ - 6 ⊙ 3( $\underbrace{111\cdots1}_{ N 1 }$ ⊙ $\underbrace{111\cdots1}_{ N 1 }$) =
$\underbrace{666\cdots6}_{ N 6 }$$\underbrace{000\cdots0}_{ N 0 }$ - 2 ⊙ 9( $\underbrace{111\cdots1}_{ N 1 }$ ⊙ $\underbrace{111\cdots1}_{ N 1 }$) =
$\underbrace{666\cdots6}_{ N 6 }$$\underbrace{000\cdots0}_{ N 0 }$ - $\underbrace{222\cdots2}_{ N 2 }$ ⊙ $\underbrace{999\cdots9}_{ N 9 }$=
$\underbrace{666\cdots6}_{ N 6 }$$\underbrace{000\cdots0}_{ N 0 }$ - $\underbrace{222\cdots2}_{ N 2 }$ ⊙ ($1\underbrace{000\cdots0}_{ N 0 }$ - 1 ) =
$\underbrace{666\cdots6}_{ N 6 }$$\underbrace{000\cdots0}_{ N 0 }$ - $\underbrace{222\cdots2}_{ N 2 }$$\underbrace{000\cdots0}_{ N 0 }$ + $\underbrace{222\cdots2}_{ N 2 }$ =
$\underbrace{444\cdots4}_{ N 4 }$$\underbrace{000\cdots0}_{ N 0 }$ + $\underbrace{222\cdots2}_{ N 2 }$ =
$\underbrace{444\cdots4}_{ N 4 }$$\underbrace{222\cdots2}_{ N 2 }$
┮瞦稱琌Θミ
$\underbrace{666\cdots6}_{ N 6 }$ ⊙ $\underbrace{666\cdots 6}_{ (N-1) 6 }7$ = $\underbrace{444\cdots4}_{ N 4 }$$\underbrace{222\cdots2}_{ N 2 }$
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