- We started with yet another weighing problem: one has 4 coins that look identical, but two of them are heavier than the other couple. How many weighings on a scale we need to detect, which two are heavier?
Answer: 2 weighings is enough. - We added numbers: CXC+XIX=?
- The game of Nim is simple: two players take in turn from a pile one or two tokens from the top. Whoever takes the bottom token, wins.
We established that in piles of size 1 or 2, the first player wins, in the pie of 3, the second player does - provided they make the best possible moves... - Lastly, we played an unusual game: one had to choose (secretly) one of eight objects, and the voters for the most popular one would be the winners.
Then we changed the rules: the voters for the least popular would be the winners.
Then - the voters for the object getting exactly 2 votes...
Homework:
- Now, you have 3 coins, all of different weights. How many weighings you need to find the heaviest, the lightest coins?
- In the game of Nim, who wins if there are 6 tokens in the pile?
- Add CXL+XXXVII+XXIII=?
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