24 lines
919 B
TeX
24 lines
919 B
TeX
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\documentclass[../main.tex]{subfiles}
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\begin{document}
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\problem{One Hundred and Fourty-Five Doors}
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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. \\
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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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\medskip
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The prisoner (in the lower right corner cell) had a drawing of the dungeon. He thought a long time before he set out. He went through all the locked doors and escaped through the last, upper left corner one. What was his route?
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\begin{figure}[h]
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\centering
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\includegraphics[width=8cm]{120}
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\end{figure}
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\begin{figure}[h]
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\centering
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\includegraphics[width=8cm]{120}
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\end{figure}
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\end{document}
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