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Black Widow and Hawkeye decide to have a...

Black Widow and Hawkeye decide to have a pizza and call the pizza house to order. The pizza house is at the apartment number C2 and the Stark Tower is at H8 as shown in the figure. The pizza delivery boy is on the call with Black Widow and Hawkeye who are helping him to get to the tower. Both of them give instructions to the delivery boy alternatively (turn- wise), with each instruction being to cross some number of apartments horizontally, vertically or diagonally. Whoever gives the final instruction to the delivery person to reach the tower wins. If Black Widow gets the chance to give the first instruction, find out how many different first move choices does she have to win the game.

[Note: Two squares are neighbours if they have a common boundary.]

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