Bebras Challenge 2019 A

Upi the otter is very interested in learning the structure of Chinese characters. He made a colorful board with the following symbols as a guide: Referring to the board, Chinese writing can be expressed as: "川" Left-middle-right structure "儿" Left-right structure "吕" Top-bottom structure Challenge: Which will express "三", "二", "八" in the correct way?

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In a parking lot, cars can be parked in the provided space or in front of it as shown in the following image: A car parked in front of a parking space can be pushed forward or backward so that the blocked car can exit. For example, in the image above, car A is not blocked and can exit. Car C is blocked by car P. Car M must be pushed before L or K can exit. Challenge: Which car needs two other cars to be pushed before it can exit?

• Car F

• Car I

• Car G

• Car B

• Car C

The cleaning robot will move to pick up the closest trash. Then it moves and picks up the next closest piece of trash. The robot repeats the steps until all the trash has been picked up. What object does the robot pick up last?

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Upik the otter tries to embroider using patterns and an embroidery machine. The embroidery machine is commanded with the command: OUT(cc) - IN (dd) where cc and dd are the needle positions on the grid. For example, OUT(B2)-IN(A3) is a command to remove the needle from position B2, and insert the needle in position A3. The result of the two commands OUT(E6)-IN(G8);OUT(E2)-IN(E4) is the following embroidery. Challenge: What command should be written to produce the following embroidery?

• OUT(H2)-IN(C2);OUT(H9)-IN(C9);OUT(C9)-IN(C2);OUT(H9)-IN(C2)

• OUT(C2)-IN(H9);OUT(H2)-IN(C9);OUT(C2)-IN(H2);OUT(C9)-IN(H9)

• OUT(H9)-IN(C9);OUT(H9)-IN(H2);

• OUT(C2)-IN(C9);OUT(H2)-IN(H9);OUT(C2)-IN(H2);OUT(C9)-IN(H9)

We can only move one bead from one stick to another. One move counts as 1 step. How many moves are needed to arrange the beads in the desired order as shown in the second image?

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