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Rules for Moving Disks !" � #$%&'(%)(*+%,)-$%)($%./01%'2%'%3,$4 ''' ''''''E=')%?'D#>='@:'8&#D'@:*')$&&=?:':#F=&':#'=@:3=&'#8' :3='#:3=&':F#':#F=&*G'%**$D@?H'F='#C=;'I$9='J/<' 5" � 6(+%02'&1%)7%./010%,802%'*9'+0%:$%/(% '0&$(./(;%)<.$<=%9/2>%0,'**$02%)(%2>$%2)?%'(.% *'<;$02%)(%2>$%:)@),4 '' 1'
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Sequence of Moves for N = 3 • � ,<'SD%99':#'I@H3:<' • � /<'K="@$D':#'K@""9=<' • � O<'SD%99':#'K@""9=<' • � .<'(%&H=':#'I@H3:<' • � P<'SD%99':#'(=T<' • � B<'K="@$D':#'I@H3:<' • � Q<'SD%99':#'I@H3:' ,,'
First Note from Dr. 4 to Dr. 3 • � “Please do the “Please do the N = 3 = 3 problem, placing the top 3 problem, placing the top 3 disks currently on Tower #1 disks currently on Tower #1 onto Tower #2, the Middle onto Tower #2, the Middle one. Then pass everything one. Then pass everything back to me.” back to me.” � ,/'
Second Note from Dr. 4 to Dr. 3 • � “Now please do the “Now please do the N = 3 = 3 problem again, this time problem again, this time moving the 3 disks on Tower moving the 3 disks on Tower 2 (Middle) onto Tower 3 2 (Middle) onto Tower 3 (Right). Then pass back to (Right). Then pass back to me.” me.” � ,O'
Note from Dr. 5 to Dr. 4 • � “Please do the “Please do the N = 4 = 4 problem, placing the top 4 problem, placing the top 4 disks currently on Tower #1 disks currently on Tower #1 onto Tower 2, the Middle onto Tower 2, the Middle one. Then pass everything one. Then pass everything back to me.” back to me.” � ,.'
Second Note from Dr. 5 to Dr. 4 • � “Please again do the “Please again do the N = 4 = 4 problem, placing the 4 disks problem, placing the 4 disks currently on Tower #2 onto currently on Tower #2 onto Tower #3, the Right one. Tower #3, the Right one. Then pass everything back to Then pass everything back to me.” me.” � ,P'
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S#9+OG,G/2']'+S=:'#8'D#>=*':#'D#>='O' "@*A*'8&#D'L#F=&',':#'L#F=&'/2' ' • � ,<'SD%99':#'L#F=&'O<' • � /<'K="@$D':#'L#F=&'O<' • � O<'SD%99':#'L#F=&'O<' • � .<'(%&H=':#'L#F=&'/<' • � P<'SD%99':#'L#F=&',<' • � B<'K="@$D':#'L#F=&'/<' • � Q<'SD%99':#'L#F=&'/<' DEFG% /O'
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