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\begin{document}
\problem{One Hundred and Fourty-Five Doors}
\problem{One Hundred and Forty-Five Doors}
A prisoner was thrown into a medieval dungeon with 145 doors. Nine, shown by black bars, are locked, but each one will open if before you reach it you pass through exactly 8 open doors. \\
You don't have to go through every open door but you do have to go through every cell and all 9 locked doors. If you enter a cell or go through a door a second time, the doors clang shut, trapping you. \\

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\begin{document}
\problem{One Hundred and Fourty-Five Doors}
\problem{The Air Parade}
Volodya asked, ``What plane did you fly during the air parade?'' His father sketched a formation of 9 planes.