Chapter 2040
Chapter 2040
Deducing the Tower of Hanoi
Zhuowen wasn't the only one who thought of this. Tong Qimei, Lian Ze, and the other peerless geniuses of the Ten Great Sects also thought of this. Their expressions were in stark contrast to the others.
"Everyone only has one chance, but before you try the real Tower of Hanoi, I will give each of you three chances to simulate it!
If anyone has a card up their sleeves, they can come out and try to move the Tower of Hanoi. "
As Great Brahma spoke, he waved his sleeve again, and three golden needles several feet tall appeared on each of the golden platforms floating around the Tower of Hanoi. On one of the golden needles, there were sixty-eight disks stacked on top of each other, while the other two golden needles were empty.
"Also, I will give you a hint. The number of times the Tower of Hanoi moves is unimaginable. If someone can correctly deduce the exact number of times it moves, they don't need to move the model or even try the Tower of Hanoi. I will immediately let that person enter the Tower of Hanoi."
Great Brahma's words immediately caused an uproar. Many cultivators also felt that something was wrong.
In the eyes of most cultivators, it shouldn't take too many times to move the sixty-four disks on the Tower of Hanoi to another pillar. However, Great Brahma's words caused many cultivators to ponder deeply.
Soon, most of the cultivators remembered the two rules that Great Brahma had restricted. Their gazes finally became serious.
They carefully thought about it and realized that the rules of movement of the disks on the Tower of Hanoi were completely restricted. In that case, there were no shortcuts to speak of. If that was the case, the number of times it moved was really an astronomical number. It was simply impossible for them to calculate it in a short period of time.
Zhuowen narrowed his eyes. In fact, the method of moving the Tower of Hanoi was extremely compatible with the recursive algorithm on Earth. The simplest method of this algorithm was counting.
And the more complicated ones could use the corresponding recursive formula to calculate how many times it would take to completely move the Tower of Hanoi to another pillar.
Although Zhuowen hadn't started the specific calculation, he knew that as long as he was given enough time, he should be able to completely deduce the formula for the number of times the Tower of Hanoi could move.
And Great Brahma's words made Zhuo Wen take note of it.
Recalling the Heaven Devouring Demon Emperor's evaluation of Great Brahma, Zhuo Wen knew that although Great Brahma had a kind of Heaven Breaking Origin, Great Brahma had not been able to comprehend it. Zhuo Wen guessed that even Great Brahma had not been able to calculate the specific number of times the Tower of Hanoi would move.
As for the Tower of Hanoi, only Lord Brahma had been able to enter since ancient times. It was most likely not because of the Tower of Hanoi's restrictions, but because of Lord Brahma's control.
Great Brahma had made an exception and allowed him to enter the Tower of Hanoi. and Great Brahma. and Great Brahma made an exception. and. and Great Brahma made made an exception exception exception exception..... and's' '''s's' ''s's's''s, so he made Great 'made made made an exception exception exception exception. and.........
After coming out, Purple Myrtle Star Sovereign began to rise rapidly. His speed was so fast that the entire Great Brahma Domain was shocked.
If it weren't for the 75th storm, the Purple Star Sovereign would have become a famous expert. Even the top ten sects would be afraid of him.
"Let's begin!
I'll give you three years. When the time is up, you can give me the answer you've deduced. You can also take the initiative to move the Tower of Hanoi within these three years. Of course, if you fail, you'll be eliminated immediately. "
After Great Brahma finished speaking, he sat on the golden cushion and closed his eyes.
However, the thousand contestants standing on the golden platform did not take the initiative to try to move the real Tower of Hanoi.
The Tower of Hanoi had already been unsealed by Great Brahma. With the strength of many of the contestants present, they could naturally take down the huge golden disc from the Tower of Hanoi and stack it on another pillar.
Most of the contestants' attention fell on the simulated Tower of Hanoi on the golden platform. Some of them frowned in contemplation, some of them looked around, and some of them began to fiddle with the simulated Tower of Hanoi in their hands, hoping to find the correct way to arrange it.
Yun Chuyu's golden platform was not far from Zhuowen. She first glanced at Zhuowen, then began to ponder the simulated Tower of Hanoi on the golden platform.
In the square, many of the cultivators' gazes were fixed on the Tower of Hanoi. They were all thinking about the correct way to move the Tower of Hanoi.
In an inconspicuous corner of the crowd, a pair of resentful eyes stared blankly at Zhuo Wen who'd fallen into deep thought, and they emitted a wave of light sighs.
It was a beautiful woman. She was not very old, but her beautiful eyes were filled with bitterness and vicissitudes of life.
She was the woman Zhuowen had met at the entrance of the trial grounds, Hong Shan.
Hong Shan's cultivation had also advanced to True God Three Disasters, but her strength was too weak, and she was eliminated in the second round.
Although Zhuowen had noticed Hong Shan at the beginning, he did not take the initiative to greet her.
From the moment Hong Shan's grandfather, Wu Han, chased after Zhuowen, Zhuowen and Hong Shan's relationship was completely broken.
Whether Hong Shan did it intentionally or not, it was impossible for Zhuowen and her to be friends again.
Hong Shan was very clear about this. However, as she watched Zhuowen rise step by step, from a weak rookie who could only rely on her on the Brahma Fiend Star to a dazzling new star that many forces in the Star Field paid attention to, her heart was filled with regret.
If her grandfather, Wu Han, had not chased after Zhuowen, and if Zhuowen had still been friends with her, perhaps those unfortunate events would never have happened.
However, it was all too late now. Wu Han was dead, the Jianghong Trading Company had been destroyed, and she, Hong Shan, was now all alone. She even had to rely on others to avoid being hunted down by Luo Pengfei of the Brahma Fiend Star Dazzling Light Trading Company.
Zhuowen stood quietly in front of the golden platform. He began to use a recursive algorithm to deduce the formula for moving the Tower of Hanoi.
He started with the fact that there was only one disc on the pillar. One disc only needed to be moved once, two discs needed to be moved three times, three discs needed to be moved seven times … five discs needed to be moved thirty-one times.
When Zhuowen reached ten discs, he frowned slightly. Because if there were ten discs on the pillar, it would need to be moved according to the rules of Brahma, and 6578 discs needed to be moved.
This was a rather terrifying number, and this was only ten discs. The number of discs needed to be moved would only increase exponentially.
After reaching ten discs, Zhuowen did not continue to deduce the number of discs needed to be moved after the eleventh disc, because he had already completely figured out the formula for the number of discs needed to be moved.
The formula was very simple. It was the number two to the power of the number of discs minus one.
There were a total of sixty-four discs on the Tower of Hanoi. As long as the number sixty-four was substituted into the number of discs, the final number was extremely terrifying. It was a huge number that exceeded one trillion.
Because the number was too terrifying, Zhuowen planned to use time to calculate. In other words, if he moved the discs once per second, it would be more than eighty-six thousand times per day, and three hundred and sixty-five days per year.
He made a rough calculation and found that even if he moved the discs once per second, it would take him more than five hundred billion years to completely move the sixty-four discs of the Tower of Hanoi to another pillar.
One had to know that the lifespan of a planet in the Heaven Domain was one hundred million years, and the lifespan of a star system was ten billion years. As for the Heaven Domain, Zhuowen was not very clear.
However, five hundred billion years was far longer than the origin and end of many star systems. Moreover, most Void Sky cultivators would not be able to live that long.
Perhaps only someone like Brahma, who had completely comprehended life and death, would be able to witness such a long time.
Zhuowen smiled bitterly. He knew that even if he spent his entire life, it would be impossible for him to completely move the Tower of Hanoi to another pillar.
However, Zhuowen knew the correct answer. As long as he said the answer, he would be able to obtain Brahma's permission to enter the Tower of Hanoi.
However, Zhuowen quickly suppressed his impulse. He did not rashly say the answer, but silently fiddled with the simulation of the Tower of Hanoi like the other contestants.
For some reason, he felt that Brahma was a little strange. He did not dare to say the answer now, and even if he said it, Zhuowen was not prepared to say the correct answer. At most, he would say an answer that was closer to the correct answer. Only this would be more reasonable.
After a few more days, a contestant suddenly flew out confidently and arrived in front of the Tower of Hanoi.
"Eh?
Did someone calculate the correct answer?
Are they preparing to move the Tower of Hanoi? "
The moment this contestant flew out, many cultivators in the square revealed astonished expressions and stared at this person.
This person's face was very unfamiliar. He should be a disciple of an unknown faction, or an unknown rogue cultivator.
Receiving everyone's attention, this person was a little proud. Obviously, he enjoyed being the center of attention.
This person shouted in a low voice and began to move the Gilded Disc.
The incomparably huge Gilded Disc was as light as a feather in this person's hand. There was no resistance at all.
Of course, everyone knew that this was because Brahma had removed the restriction on the Tower of Hanoi, making the originally incomparably heavy Gilded Disc easy to move.
Of course, this was only limited to the contestants.
If there was an itchy cultivator in the square who wanted to go up and set up the Gilded Disc, he would not be able to move a single one.
Zhuowen coldly looked at the cultivator who began to set up the Gilded Disc and sneered in his heart.
He had already calculated that if he wanted to set up the Tower of Hanoi according to the two rules, it would take an immeasurable amount of time. This person probably did not strictly follow the two rules to set up the Tower of Hanoi.
This person spent about three days and really managed to place the Tower of Hanoi on another pillar.
However, just as he finished setting it up, the Gilded Disc on the pillar suddenly flew out and landed on the original pillar. At the same time, a vast energy swept out from the Tower of Hanoi.