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Pow 12

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Problem Statement

Four knights, 2 white, and 2 black are sitting on a 3x3 chessboard. The knights were really bored, since they spent all of their time sitting on the chessboard doing nothing, so they decided to try switching places so that the white knights would end up where the black knights started our and the black knights would end up where the white knights started out. To do this, the knights had to follow the following rules:

- No two chess pieces can occupy the same square at the same time

- Knights can jump or pass over each other on the way to an empty square

- The knights can only move 2 squares up (or down, or left, or right) and 1 square to the left (or right, or up, or down.) The moving combinations must be 2 up or down and 1 to the left or right. Or, 2 to the left or right and 1 up or down. Example: They can't move 2 to the left and 1 to the left. They must always move in an 'L' shape.

- No two pieces can switch spots at the same time

- The knights can only move one at a time

- They must stay within the 9 squares of their 3x3 chessboard

Process

To

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