Chapter 1,205: Showdown on the Scales

Style: Science Author: Cold and rainy weatherWords: 2138Update Time: 24/01/12 11:39:23
The competition game is a balance showdown.

Between them is a scale, with many weights of the same size but different weights placed in their hands.

"The rules of the game are very simple. There are nine rounds in total. Each person puts a different number of weights on the balance in each round. The heavier party wins. After the nine rounds, the party with more winners wins the final victory."

"Here are the weight rules."

"1. Each person owns one king, two queens, three knights, five commoners, and ten slave weights, a total of 21 weights. They weigh 10g, 7.5g, 5g, 1g, and 0.5g respectively."

"2. Everyone takes turns to place the weights. For example, guessing a coin in the first round determines who will place the weights first. After that, the two people take turns. The person who placed the weights later can see the number of weights placed by the person who placed the weights in front of them this round."

"3. When there is a draw, if one side is a king and the other side is a slave or civilian, then the slave or civilian side wins; if one side is a king, and the other side is a single queen, then the king wins; if one side is a queen, and the other side is a knight, then the queen wins. If one side is a knight and the other side is all civilians or slaves, the knight wins; if one side is a commoner and the other side is a slave, the commoner wins.

Simply put, king > single queen > knight. King knight > commoner > slave. The above rules only take effect in the event of a tie. If there is a tie when different weights are mixed, or if there is a tie when weights of the same type are mixed, the person who put the weight after the round will lose. "

"4. The weight may have an error within ten percent of the weight. The winner or loser is determined by the tilt direction of the balance. The weight of the weight can only be perceived by oneself."

This rule…

Wu Hui closed his eyes and thought for a while. There are twenty-one weights in total, and nine rounds will be played, and the number of wins will be compared at the end.

Thinking about it in the simplest way, you only need to win at least five rounds, and there is no need to give up anything in the remaining four rounds. Of course, it is very difficult to implement in practice.

Moreover, the weight of the weight actually fluctuates by 10%, which is a scam. In other words, theoretically, the lowest number for the king is 9, but the highest number for the queen is 8.25. It only takes one commoner to surpass it.

The difference within one gram was completely undetectable when Wu Hui's perception became that of an ordinary person.

The same goes for the card player on the other side.

The two sides first conducted a three-round trial.

Wu Hui put the weight first, but he only put one weight. Maybe a king, maybe a slave. And you won’t know what it is, whether you win or lose.

The card player's choice is to put a weight.

He won.

Wu Hui was not surprised, after all, he only put a slave on it. I don’t know what the card player put there.

In the second round, the card player placed first, and he only placed one weight.

After thinking about it, Wu Hui understood that he must put as little weight as possible this time and find a way to win. Because in the last game, everyone will put all their weight on it.

I only used one slave weight in the first game. The worst thing that could happen is that a slave weight is also used on the opposite side, but it just happens to be heavier.

So in this game, it is best to guess what weight the opponent is using...

And then there's one more thing, about the draw.

If the weights of the weights are different, then theoretically it would be difficult for a tie to occur. The standard weights are all integers, so a tie is easy to understand, but if everyone has errors, and the tie regulations are written in such detail, there is only one possibility.

That is, the balance also has errors. That's why there is a rule that the outcome is determined by the scale. As long as the error is within a certain level, it is a draw.

But what will this error be?

The test round may give us a chance to calculate, but it seems a bit difficult.

The error must be less than 0.5 grams. Otherwise, the difference can be just one weight, which is too exaggerated. So the current guess is that it is between 0.1 and 0.3. Make a judgment based on other clues.

In the test round, the outcome does not affect the subsequent situation, so it is better to be more cautious.

Wu Hui put on two weights. Although you have to bet everything in the last round, if you don’t guarantee victory in this round, you won’t even see the last round. And I only put one in the first game, just to prepare for the current game.

10, 7.5, 5, 1, 0.5. Put two knights on it, and the total is 10. The chances of winning are still relatively high.

Winning, but is it really a win?

No, it should be said that it has been lost. Wu Hui believes that in the first game, the poker players definitely did not put too much weight on it.

In the last game, all weights are put on. Sure enough, the poker player won this test game.

The most important things about this game are two points, one is the psychological game, and the other is overall coordination. The weights you consume in every game are compressing your choice space.

When it comes to the final round, there is naturally no choice.

In each game, the second player will have an advantage. At least you can observe the number of weights of the opponent and put weights that ensure that you can win.

Of course the opponent may use a slave to cheat you out of a king. Later you will find that you have no weights to use. Completely lost. So this really requires a psychological game of confrontation.

The poker player gave Wu Hui time to think and analyze. He knew that Wu Hui must be under great pressure when facing him.

In the psychological game, if the pressure is so high, you will be at a disadvantage. Of course, the poker player believes that Wu Hui will find a way to overcome it.

Wu Hui's thinking only lasted for about thirty seconds. Then the game officially begins.

The weights in front of both of them were placed there quietly. I don’t know if these weights really turned into some kind of king or queen. But in the hands of the two people at the table, every weight looks the same.

Even players have a hard time telling the difference between weights of the same type. The random mass error of the same kind of weights is very embarrassing.

That’s right, it wouldn’t be gambling if there was no randomness.

The main focus of gambling is randomness, like chess and Go. If you don't know, you just don't know it because you are not good enough. In gambling, you really don't know, and you can't know, you can't control it, you can only rely on luck.

For poker players, a game with no randomness would be too simple. And simplicity often means boring.

Guess the coin. The poker player asked Wu Huilai to guess which side was up. In this game, the backhand obviously has an advantage. So Wu Hui hopes that he can guess wrong. It's a bit like the rules of Go, but it's just a 7.5-purpose Go rule. The backhand has the advantage.

But it can only be said to be an advantage, not to the point of winning.

Moreover, there is no way to calculate this kind of thing. It can only depend on whether luck can gain an advantageous position.

"Hmm...face up." Wu Hui closed his eyes and chose one at random. You can only choose one at random. After all, there is no difference between the front and back of this coin.

"Tails," the magistrate said after tossing the coin.

Therefore, in this game, the poker player puts the chips first.