Othello complex

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You have a sequence of 100 Othello bricks, some facing black some white. In a move you can flip 7 of the bricks, that are equally spaced from one another, eg consecutive or with 4 bricks in between etc etc. In every move 7 bricks MUST be flipped, ie the largest distance between the bricks is 14. Show that you can get every brick to face black.

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