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0 / 60 seg.
Below are six discs stacked on a peg. The object is to reassemble the discs, one by one, in the same order on another peg, using the smallest number of moves. No larger disc can be placed on a smaller disc. How many moves will it take?
I
T
W
_
L
L
T
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K
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6
3
M
_
V
_
S
.
F
_
R
_
N
Y
N
_
M
B
_
R
_
F
D
_
S
C
S
N
,
T
H
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N
_
M
B
_
R
_
F
M
_
V
_
S
C
_
N
B
_
F
_
_
N
D
B
Y
2
N
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1
Clue
ONE IN SIX. A DIE HAS NO MEMORY OF WHAT IT LAST SHOWED
11⁄2. WE NEED 3X = X + 3, SO 2X = 3, OR X = 2⁄2 (OR 11⁄2)
YOU NEED TO TAKE OUT THREE SOCKS. TO HAVE A MATCHING PAIR, YOU NEED TO TAKE 2 SOCKS THAT ARE OF THE SAME COLOR. WHEN YOU TAKE 3 SOCKS, 2 OF THE SOCKS WILL BE OF THE SAME COLOR
IT WILL TAKE 63 MOVES. FOR ANY NUMBER OF DISCS N, THE NUMBER OF MOVES CAN BE FOUND BY 2N - 1
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