Chapter 19: Labyrinth Paradise (4)
"Good, well shared!"
The scholar violently closed the fan and slapped it in the palm of his hand, his face showing excitement.
"Huh?" Xia Mu's eyes flickered imperceptibly.
The scholar's excited expression didn't seem to be fake, but didn't he already expect that Xia Muding would answer this question? Why do you still have the joy of being solved after encountering a problem and thinking about it?
"No matter what calculations you are making, as long as the problem is difficult enough to stump you, I will naturally win!"
A hint of coldness flashed in Xia Mu's eyes, and he decided to make one more difficult.
"There were 12 identical balls, one of which weighed differently than the other 11. Excuse me, how to use the balance to weigh only three times, and find out this ball with different weights! ”
The difficulty of this problem lies in not knowing whether the ball with abnormal weight is lighter or heavier than the other balls.
If the abnormal ball is lighter than the normal ball, the side of the balance is warped will naturally have the abnormal ball.
If the anomalous ball is heavier than the normal ball, the side where the balance sinks is naturally the anomalous ball.
But the problem is that you don't know whether the anomaly ball is light or heavy, and you naturally don't know if there is an anomaly ball in the side where the scales are upturned, or there is an anomaly ball in the side that sinks.
And the scales can only be weighed three times!
Not to mention the ancients, this question is also a very classic problem among modern people.
A lot of people can't solve it in an hour, let alone a minute now!
"This question...... Some difficulties ......" the scholar clenched his fan and closed his eyes slightly.
Seeing this, a smile appeared at the corner of Xia Mu's mouth.
The Internet is developed, and strange topics are flying, even if you are knowledgeable? You're the one who bullies!
However, the smile on the corner of Xia Mu's mouth had just been revealed, and the scholar who closed his eyes in contemplation suddenly opened his eyes.
"Divide the 12 balls into three groups, namely, Group A (1) (2) (3) (4), Group B (5) (6) (7) (8), Group C (9) (10)??。
Put group A and group B on the balance first, and call it the first time.
At this point, there are three possibilities.
First, the balance is balanced.
Second, Group A is heavier than Group B.
Third, Group A is lighter than Group B.
Let's start with the first point – balance of the scales!
If the balance is balanced, it means that the weight of group A and group B is the same, the balls (1)~(8) are normal balls, and the abnormal balls are in the four balls of group C (9), (10), 11 and 12.
At this time, take (9) (10) 11 and normal ball (1) (2) (3) for the second time.
If (9)(10)11 and normal ball (1)(2)(3) are balanced, then ball size 12 is an anomalous ball.
If (9)(10)11 and (1)(2)(3) are out of balance, then the abnormal ball is inside (9)(10)11.
At this point, there are two more scenarios.
In the first case, (9) (10) 11 is lighter than the normal ball (1) (2) (3), indicating that the abnormal ball is lighter than the normal ball, and only (9) and (10) need to be called the third time, and the lighter side is the abnormal ball. If (9) and (10) are balanced, then the anomalous ball is ball 11.
In the second case, (9) (10) 11 is heavier than the normal ball (1) (2) (3), indicating that the abnormal ball is heavier than the normal ball, according to the above method, (9) and (10) are called the third time, and the heavier side is the abnormal ball. If (9) and (10) are balanced, then the anomalous ball is ball 11.
This is the balance between Group A and Group B, and the anomalous ball is in Group C.
Next, let's talk about the imbalance between Group A and Group B. ”
The scholar turned the fan back on, and while fanning it, he chuckled and glanced at Xia Mu, who had an ugly face.
"Let's talk about the second point of the first weigh-in - group A is heavier than group B!
Group A (1), (2), (3) and (4) are heavier than Group B (5), (6), (7) and (8), indicating that (9), (10), 11 and 12 balls in Group C are normal balls.
At this time, we take the ball (2), (3), and (4) out of Group A, the ball (6), (7), and (8) from Group B to Group A, and the three normal balls (9), (10), and 11 from Group C to Group B.
This becomes the new Group A (1) (6) (7) (8) and the new Group B (5) (9) (10) 11.
Next, let's start the second weighing.
The new A (1) (6) (7) (8) and the new B (5) (9) (10) 11 are balanced, indicating that the anomalous ball is in the (2), (3), and (4) ball that is taken out, and the anomalous ball is heavier than the normal ball.
You only need to call the ball (2) and (3) the third time, and whoever weighs it is the anomalous ball. If the ball (2) and (3) is balanced, the anomalous ball is the unweighed ball (4).
If the new Group A (1)(6)(7)(8) is heavier than the new Group B (5)(9)(10)11, the anomalous ball is (1) and it weighs more than the normal ball.
If the new Group A (1)(6)(7)(8) is lighter than the new Group B (5)(9)(10)11, then the anomalous ball is in (6)(7)(8) and the anomalous ball is lighter than the normal ball.
At this time, it is only necessary to call the ball (6) and (7) the third time, and whoever is light is the anomalous ball. If (6) and (7) balls are balanced, then the anomalous ball is the unweighed ball (8).
Finally, let's talk about the third point of the first weigh-in - group A is lighter than group B!
Also set up as a new group A (1) (6) (7) (8) and a new group B (5) (9) (10) 11 to weigh the balance for the second time.
This time the approach is the same as the second point above. Let's ...... first"
As the scholar answered, Xia Mu's face became more and more ugly.
When the scholar finished speaking the second point, Xia Mu knew that this question had been answered by the scholar.
Xia Mu could only hope that the scholar's language would freeze in the process of answering, or slow down, causing the answer to time out, so that Xia Mu would still have a chance to win.
However, sensing that the one-minute time was coming to an end, the scholar spoke faster and faster, and finally finished the entire process of solving the question before the one-minute time limit was almost over.
"The so-called coming without reciprocating is also rude." The scholar fanned the wind vigorously with a fan, drying some beads of sweat that overflowed from his body due to his quick speech, and then looked at Xia Mu with a smile.
"Once, when I was wandering through mountains and rivers, I met an old man who was playing chess.
The old man was a master, and he told me a story about his youth.
The master once took ten wives back to his hometown and province, and he didn't want to be caught by thieves halfway into the cottage.
There are seven thief owners in the cottage, and these seven owners are very coveted by the beauty of the master's ten wives.
However, how should seven people divide the master's ten wives?
These seven village owners are extremely selfish and greedy, not only wanting to monopolize the master's ten wives, but also wanting to show their demeanor as village owners in front of their subordinates.
At this time, the master secretly stepped forward and whispered a few words to a thief village owner.
The next day, the Bandit Keepers announced a plan.
In the square, from left to right, seven chairs are placed in the order of 1-7.
Within the time of a cup of tea, each owner must sit on a chair. Whoever does not sit on the chair within the time of a cup of tea will automatically withdraw from the allocation.
From chair No. 1 to chair No. 7, each person put forward a plan to distribute the master's ten wives in turn.
If the plan is agreed to by more than half of the people, the allocation plan is established.
If more than half of the people did not agree, the people who proposed the plan would have been hacked to death by their men in the square! ”
The time began to tick out, and the other six bandit village owners all went to compete for the seventh chair, only the thief village owner who was whispered by the master yesterday took the initiative to sit on the first chair with a smile on his face.
The time for a cup of tea ends quickly.
There were a few village owners who did not grab a good position, and they were unwilling to withdraw from this allocation, so they had to reluctantly sit on other empty chairs.
At this time, the master stood up and said something, which made everyone look at the thief owner sitting on the first chair in shock, and they were both envious and jealous of him.
That night, there was a riot in the cottage.
And the master, who had already expected all this, escaped with ten wives taking advantage of the riot and night.
May I ask Childe, what did that master say? ”
……
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PS: I wrote 11 and 12 in such a way as (1), but after publication, 11 and 12 will become garbled and not displayed, so I replaced it with 11 and 12 represented by numbers, I guess everyone looks awkward, so explain