How to break into a math book

Since most of the challengers have just entered the trigonometric function level, except for those who avoid talking about it, the rest of them did not draw any reliable conclusions.That is to say, the distribution law of this string table fragment in the branch level is still unknown.

Of course, except for the person next to him.

Tu Hua took a peek at the calm Mr. X, thinking that this NPC must have been set up with a thick-skinned program, otherwise, how could he still say that nothing happened after he said the words of molesting and peeping into other people's inner secrets? Ever been the same?

When the one-hour inquiry time came, Tu Hua returned without success. Mr. X just agreed to tell him the law of fragment distribution, but once this matter is brought up, Tu Hua can't help but think of the series of embarrassments just now.Although Mr. X's company is a reward for my own ability, but exchanging information with him with my own personal ** will inevitably feel like selling my soul...

"The appearance of fragments is irregular, it's entirely a matter of probability." Mr. X seemed to see through his hesitation, and said lightly behind him.

Tu Hua looked back at him in disbelief.

Mr. X didn't ask about Tu Hua's sexual orientation anymore, as if he thought that sentence was just a joke: "You should have discovered just now that everyone got shards when clearing the first side mission, because in the first round When , the probability of obtaining fragments is 100%."

"What do you mean?"

"When you clear the first branch level, the probability of obtaining fragments is 100%, and the probability of obtaining fragments when you pass the second level is 80%. By analogy, as the number of times you clear the level increases, the probability of obtaining fragments will increase each time. Reduced by 20%, until the sixth time, the probability of you getting fragments is 0." Mr. X explained, "But your guess is not wrong, the probability of fragments in side tasks related to trigonometric functions will indeed increase , It will rise by about 5%."

“也就是说我们第一次通关支线关卡获得碎片的概率是100%，接下来每次通关分别是80%、60%、40%、20%和0？”涂化不可置信，“最后一次的概率是0？那是不是就意味着我们根本没有可能收集够6个碎片？”

Mr. X nodded nonchalantly: "In theory, it is so."

Tu Hua said, "What about single player games?"

"The same is true for single-player games. Although you only need to collect 3 fragments, the probability of obtaining fragments is 100% for the first time, 50% for the second time, and 0% for the last time."

Sure enough, the system won't let them pass the level so easily.The chance of obtaining fragments has almost nothing to do with the content of the level, but to the number of times you clear the level. Even if you are victorious, even if you are lucky to obtain the fragments in the first five times, the 0 probability of the sixth time will completely stop you. outside the door.

After returning to the playground for reunion, the three teammates did not bring back any valuable news, only Tu Hua shared such bad news with them.

Wang Boyu almost ran away: "How can this be? Why is the system getting more and more abnormal? What are we going to do if we can't pass the level!"

"Don't worry." Tang Bo brought up the system panel and carefully studied the team formation. "You may not have noticed that our team can be split."

Tu Hua hurriedly looked over, and saw that Tang Bo slid his finger and removed his name from the team, but the other status of the team did not change.

【Current level: Trigonometric function level】

[Main Quest: The Lost String Table of Hippajos]

[Team challengers: Tu Hua, Wang Boyu, Sun Wei]

[Obtain string table fragments: 1/6]

【Remaining time: 41:30:14】

"Do you still have any fragments on your body?" Tu Hua asked Tang Bo.

"No. The fragments we cleared together belong to the entire team. During the team formation process, I can quit the team or rejoin the team." Tang Bo re-operated in the team formation, and his name returned to the team , "Does this mean that we can leave the team to go through the level alone, and return to the team after obtaining the fragments?"

Tu Hua understood instantly: "Then the fragments we obtain individually can also be counted into the total number of the team!"

Wang Boyu counted on his fingers: "In this way, as long as each of the four of us passes a level alone, there will be a 100% chance to get four fragments!"

Having reached this conclusion, the four of them were immediately full of confidence.The probability of them getting fragments in the next level is 80%, which is already a high percentage. Tu Hua suggested that they first form a team to break through the level, and then branch out if they have to.

According to the information given by Mr. X, Tu Hua's judgment on the law of debris distribution is actually not wrong, and choosing tasks related to trigonometric functions can also increase the probability of obtaining it by 5%.So Tu Hua chose a level called [Navigation World] this time.This level does not seem to be directly related to trigonometric functions, but in fact trigonometric functions are a very important application point when judging heading and angle during navigation.

The entrance to this side mission is in the music classroom of the teaching building on the west side. After four people stepped into the classroom, the classroom door automatically closed with a "bang", and then the piano placed in the corner began to rhythm by itself.

The sound of the piano is impassioned, and the undulating stereo sound is like the roaring of the sea waves. As the rhythm of the music gradually advances, Tu Hua suddenly feels his feet shaking. It seems that there is also the sound of roaring sea waves mixed with the sound of the piano. The salty breath penetrates into the nasal cavity, In an instant, the scene in front of them changed suddenly, and they had come from a clean and tidy music teacher to a ship that was bumping in the waves.

Surrounded by endless sea.Because of the cloudy weather, the sea water also looks black and blue, as if it wants to swallow everything floating in the sea.The ship they were on had a Pirates of the Caribbean feel to it, with its worn-out yellow sails twisting ferociously in the air, the deck was muddy, and roars and curses could be heard from the cabin below from time to time.

This is a pirate ship.

Tu Hua turned around, only to find that several of his teammates had changed into costumes of medieval sailors, and even Mr. X had a yellow sailor's turban tied on his head, which looked a little funny.

Tang Bo tugged at his clothes and said doubtfully, "This is the first time we entered the checkpoint with a change of clothes."

Tu Hua also wore a vest and bunt: "Are you asking us to play pirates?"

Before the words fell, a ferocious pirate came over from the other side of the deck: "Hey! You four newcomers! Why are you lazy here? You were just asked to move the boxes on the deck. Why don't you go?!"

The pirate had a revolver on his waist and a long knife in his hand, looking as if he wanted to tear them apart.The four hurried towards the box, and Wang Boyu excitedly said as he walked, "Is this the pirate mode? This level is so exciting!"

There are more exciting things to come.

The four of them were whispering, and footsteps came from the cabin, and a tall pirate walked over with imposing steps.He wore the iconic red turban on his head, his long brown-black hair was curled and scattered on his shoulders, his eyes were sharp, and there was gray-black smoky makeup around his eyes.

The most touching thing is his mustache, which makes him look majestic and evil.

The four of them stared wide-eyed, stunned by the man in front of them, and shouted in unison: "Captain Jack!"

Captain Jack raised his lips: "Welcome to my Black Pearl."

【Ding--】

[Submission: Sailing World]

[Rules: Listen to Captain Jack. 】

The system is obviously more brain-dead than these four people. Such a rule completely handed over the four young and ignorant challengers to the crazy Captain Jack.

Sure enough, the next moment Captain Jack said amazingly: "Let's play a thrilling game!"

"The wind and waves are getting bigger and bigger, and there is something wrong with my Black Pearl. Besides me, there are 200 brothers on board, but the beautiful Black Pearl can't bear such a weight at all!" Captain Jack looked at the pirates. He wandered around, "So I will wrong you. You stand in a row and count from left to right. Every 10 minutes, I will throw the person who reported the count into the sea."

He smiled and said cruel words, and the pirates on the deck were all in disarray, and some even fought for the even-numbered positions.

Sun Wei frowned: "So this is part of the level?"

Tang Bo nodded: "It should be. If we want to stay on the ship, we must grab an even-numbered position."

Tu Hua stared at Captain Jack, his eyes were like eagles, as if these people in front of him were lambs to be slaughtered.The pirates are in a mess, but there are only four of them who really need to win this mission.Tu Hua thought carefully about Captain Jack's words, and his face became more and more solemn: "He just said... throwing a batch of odd-numbered people into the sea every 10 minutes. Did you say when to stop?"

Wang Boyu's face was stiff: "No...no."

Tu Hua narrowed his eyes: "This means that there will be no last person, and he won't stop, right?"

Counting the four of them, there were 200 people on deck.The 200 people are required to stand in a row from left to right to count, and those with an odd number will be thrown into the sea. After 10 minutes, the rest of the people could not adjust their positions, and they still stood at the same place to count, and the odd number of people reported this time would still be thrown down.Repeat this cycle until the last person is left.

Sun Wei analyzed: "So the position we want to choose must be an even number from beginning to end."

Wang Boyu thought for a while, and said: "It seems that it is more appropriate to use the reverse method for this question."

"When there are the last two people on the deck, number 1 is thrown away, and number 2 stays; when there are 4 people left, number 1 and number 3 are thrown away, number 2 and number 4 stay, and number 4 is No. 2 when there are only two people left; by analogy, when there are 8 people left, the safe position from the beginning to the end is No. 8. This No. 8 is No. 4 when there are only 4 people left, and No. 2 when there are only 2 people left. number [-]."

Sun Wei nodded: "Yes, the safe number should be 2 to the power of n."

Tang Bo analyzed: "A total of 7 rounds will be thrown, that is to say, the 128th in the first round, that is, the person in the position of 2 to the 7th power is always safe. In the second round, the 128th will become In the third round, he became No. 64; in the fourth round, he became No. 32; in the fifth round, he was No. 16; in the sixth round, he was No. 8 No. 4; in the seventh round, that is, when there are only 2 players left, he is still No. 2."

This problem is not difficult, as long as you find an even number of digits in the 200 races.

Tu Hua said softly: "But there is only one position that is always safe."

The four of them looked at each other speechlessly.

Only one location is safe, which means that the four of them can only save one, and the remaining three... will surely die in the sea.