快猫短视频

#129 Dungeons & Diagrams

鈥淗ow has someone left a shoe behind?鈥� grumbles Bernie as he picks up the lost property after the latest team has left the Incredible Dungeon Escape Adventure. Bernie鈥檚 job is to set up the dungeon between teams. Starting in one room, he walks through every door once, including the two external doors and the secret door in the wall directly behind one of the crates. He locks each door behind him and puts back all the furniture the previous team needlessly flipped over. Then he puts the Exciting Treasure Chest next to the table in the final room before leaving by the hidden trapdoor in the floor to take his 7-minute lunch break.

The contestants鈥� map doesn鈥檛 show the secret door or the trapdoor exit. Where did Bernie start, where is the treasure and how do you know?

Solution next week

#128 Tournament headache

Solution

There are six possible results: 0-0, 1-0, 1-1, 2-0, 2-1 and 2-2 and six games, so each result must have occurred once. Red Star Belgradient didn鈥檛 concede a goal, so won two games (1-0 and 2-0) and drew the other 0-0, gaining 7 points. That leaves 1-1, 2-1 and 2-2 for the other matches. The team that won 2-1 must also have drawn 1-1, and earned a total of at least four points; neither of the last two teams can have earned more than three points. Therefore PSV Eigenvector, in finishing second, must have won 2-1 and drawn 1-1. The only remaining scoreline is 2-2, which was the result between Integer Milan and Tottingup Hotspur.