Solution to Saturn Puzzler
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Solution to Saturn Puzzler |
In order to denote the equations, eight symbols are defined as N, NE, E, SE, SW, W, NW and W as shown below.
N represents flipping the upper half about the N-S axis, E represents flipping the half on the right about the E-W axis, and so.
An equation is expressed as the following format:
(a, n) x1, x2, ..., xn
where a is the number of pieces relocated by the equation, n is the number of steps, and xi are the n steps for i = 1, 2, ..., n.
For example, to move the piece M anti-clockwise by 4 slots, the equation is
(6,2) S, E
A
represents the piece(s) not to be affected by the equation.M represents the piece to be relocated by the equation.
The complete solution is as follows:
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(5, 3) E, SE, E |
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(5, 2) SE, E |
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(4, 1) E |
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(6, 2) S, E |
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(5, 4) SE, E, SE, E |
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(4, 10) E, N, NE, N, W, SW, W, SE, S, SE |
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(3, 9) N, NE, N, W, SW, W, SE, S, SE |
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(2, 11) NW, W, NW, NE, E, S, SW, S, NW, W, NW |
