How to break into a math book

Putting 9 beans into 4 cloth bags does not mean that the 9 beans need to be divided equally.Tu Hua stepped forward, put 3 beans into the first three bags respectively, and then put the three bags together into the fourth bag.

"Bags No. 3, 9, and [-] have [-] beans in each bag, and Bag No. [-] has [-] beans." Tu Hua explained, "The rule only says that the number of beans in each bag must be an odd number, not that it is not allowed. Put the bag in the bag, so... I should be doing the right thing?"

Tu Hua bent his eyes and looked at Su Gechi with a smile.

"No problem." Su Gechi nodded, and said to the other boy, "Sorry, you lost."

The boy felt ashamed, his expression turned into pixels and disappeared in frustration.Tu Hua won the third round of the competition, which means that their team has won three consecutive victories.

There were only two people left in the opposite team, a man and a woman, looking at them anxiously.

It's a pity that this round of Tuhua can only check three numbers, and the next three odd numbers are 8, 0, and 9 respectively.If they want to accurately determine whether the number is divisible by 11, they must know the last two numbers in the odd digits, and subtract the sum of the even digits from the sum of the odd digits to obtain an answer that is divisible by 11.

That means they may have to win another test match.

Just when Tang Bo was about to play in the next match, the girl on the opposite side suddenly raised her hand to signal: "I know the probability of this number being divisible by 396, can I answer it now?"

Tu Hua froze for a moment.The girl looked like a broken can, and she must have expected that if the match continued, they were likely to continue to lose.

If this continues, the remaining two of them will be the same as the previous three teammates. They will not have the chance to answer the questions at all, and they will continue to fight in the confrontation.Rather than dying in the competition, it is better to give it a go now and tell the guessed answer.

"You can answer, but Tu Hua won the match just now, so they have the priority." Su Gechi glanced at Tu Hua, and explained to the girl, "If they are willing to give up the opportunity to answer or answer wrong, it is their turn. You answer."

Tu Hua couldn't help but fell into deep thought. It was absolutely impossible for the girl opposite to be blind to this probability. She must have had some kind of guess, but the guess has not been confirmed so far.

If her guess is right, then all the previous efforts of Tuhua and the others were in vain.

Su Gechi consulted the Tuhua team in accordance with the rules and procedures: "Do you want to answer?"

Tu Hua exchanged glances with his partners, and finally made a decision: "Answer."

"We think ... the probability that this 28-digit number is divisible by 396 is 100 percent."

After Tu Hua said the answer, the face of the girl on the opposite side obviously collapsed. Her thinking is probably exactly the same as Tu Hua's, that is to say, they have already noticed that being divisible by 396 only needs to be divisible by 4, 9, and 11 this fact.

Everyone waited with bated breath for Sugechi's verdict, but Sugechi's expression remained calm. After showing the 18 confirmed numbers, he smiled at Tu Hua: "Congratulations, you got the answer right."

Sure enough, their judgment was not wrong.

Judging the probability that the number is divisible by 10 when the 396-digit number is uncertain, if there are no special circumstances, this problem is basically equivalent to no solution.But the original intention of this question is to mislead the challenger with the question of probability. In fact, this number is completely divisible by 396.

As long as they can think of the three numbers 4, 9, and 11.

【Ding--】

[Challengers Tu Hua, Shen Siyi, Sun Wei, Tang Bo, and Wang Boyu passed the level digital friendship competition and won the main line level clearance rate reward of 15 points. 】

At the end of the game, the remaining two challengers on the opposite side were eliminated, and Su Gechi followed the five of them to the outside of the checkpoint.Tu Hua quickly checked his clearance rate, and the 15-point clearance rate did not give him any surprises, and it was added to the denominator.His original clearance rate was 2/67, and after adding 15 points, it became 2/82, which is 1/41.

Among others, only Tang Bo suffered the same bad luck as him, so Tang Bo's clearance rate was also reduced, becoming 11/60.

At this time, Wang Boyu's and Sun Wei's clearance rates were 9/16 and 24/31 respectively, while Shen Siyi's clearance rate was already high, and now it has reached the full point.

Tu Hua was very frustrated, he decided not to do dungeons anymore, if the clearance rate continues to drop next time, he will definitely collapse.The other friends have already decided to go to the main mission, and the content of the level will be different according to the clearance rate, that is to say, there is no way for them to pass the level at the same time.

Tang Bo has always been a conservative. He originally thought about doing a few more dungeons to improve the customs clearance rate and then participate in the main mission. But seeing Tu Hua's decline, he felt that the risk was a bit high, and he also had the idea of ​​going directly to the main mission. task mind.

Tu Hua asked for Su Gechi's opinion: "Do you think it's appropriate for me to participate in the main task now?"

"Stopping losses in time is indeed the correct approach." Su Gechi analyzed, "If you continue to participate in side missions and your customs clearance rate continues to decline, the loss outweighs the gain."

With Su Gechi's encouragement, Tu Hua finally made up his mind and planned to go to the main mission to take a look.No matter how low the customs clearance rate is, can it have the horror of 100 beans in the virus level?The collapse of the game level made him escape, which proves that he still has some luck, so this main task must not be a problem!

This time the main task does not need to enter the map to trigger, just select a point in the system.The other four partners had already entered the game, and Tu Hua quickly pressed the confirmation button to be sent to the main mission.

【Ding--】

[Main Mission: Desert Island Escape]

[Rules: The challenger needs to drive a helicopter to escape from the desert island to pass the level. The helicopter has only one seat. The challenger needs to eliminate all other survivors to get the key to open the helicopter. 】

Just as Tu Hua was teleported to the desert island, the system's announcement sounded in his ears.Unexpectedly, Mathematics Breakthrough embedded the desert island escape game into the level, and Tu Hua almost thought he heard it wrong.

Desert Island Escape is a very popular holographic battle game last year. When the experience server was just launched, Tuhua successfully won the No.1 ranking and maintained this ranking for half a year.

He is very good at this game.

In the desert island escape game, there will be a total of 100 players fighting against each other. Players must survive until the end to win. Of course, this game can be played in teams. Tu Hua was the two-person team that year and won the top spot.

Players have to kill each other in order to survive, and there are 5 different occupations for players in the game: the first is gunner, which is also the occupation that Tuhua is best at. The advantage of this occupation is that players can wretch The dog stands up and shoots dark guns, and the damage is very high, but the disadvantage is that it has almost no combat effectiveness in melee.

The second class is Tyrannosaurus Rex. As the name suggests, this class is strong in both combat and defense. The disadvantage is that the target is too obvious and the movement speed is slow. If it encounters a long-range attack, it will have no power to parry.

The third profession is the trap master. Players who choose this profession can set countless traps on the island. They just need to find a place to wait for the harvest. almost 0.This profession is the least favored in the game. There was no trace of a trap master in the top [-] standings of Desert Island Escape.

The fourth profession is the therapist.The healer is mainly dealing with spell damage. His biggest advantage is that he can heal himself and his teammates, and he can poison the opponent during the battle. However, the disadvantage is that the poison effect is slow. It is very likely that the enemy has not been poisoned to death, and he has already Was clicked.

Tu Hua was able to rank first in the standings at that time thanks to his teammate who played the healer. The healer knew him very well, and the two cooperated perfectly. Later, they played many games together in teams.This person gave him the idea of ​​making friends online for the first time, but because he was too busy studying in the third year of high school, he didn't contact him much.

The last class is the most buggy class in the game, Invisible Man.The invisible man is not able to completely turn the body into a transparent shape, but like a chameleon, it hides itself according to the environment and terrain.Moreover, they are good at using hidden weapons in close combat, and players are often killed by them when they are confused.

Tu Hua looked at the familiar geographical environment around him, a little in disbelief: "Is this really the desert island escape I thought of?"

Su Gechi smiled: "That's right."

In the next second, the system screen popped up, and the career selection interface appeared.Tu Hua reached out to touch and swipe, looking at the five familiar career options on the screen, he was both moved and pleasantly surprised.But he vaguely felt that this level would definitely not be so simple, the system didn't need to set up this kind of game that had already appeared on the market, and with the participation of viruses, this level might not be as simple as he imagined.

Su Gechi saw his hesitation and explained: "The original design of this level was to pay tribute to the deserted island escape game. As for the impact of the virus' participation...it is already very clear."

He brought up the system screen, frowned and said: "At the beginning, the level design did not fully follow the game rules of desert escape, and the part of player confrontation in desert escape will not appear here. There is only one challenger in this level. , and all the characters he needs to fight against are NPCs."

"But now it is obviously more cruel after the transformation of the virus." Su Gechi analyzed, "At present, the players of these 100 occupations are all composed of challengers, and it remains to be seen whether there will be other variables in the confrontation process. And know."

Although there is no difference between this level and Desert Island Escape in terms of rules, the essence has changed.In the real desert escape, even if the player is eliminated, he will just exit the game, but in this level... elimination means being trapped in the dark abyss forever.

Tu Hua frowned, and quickly chose the gunner profession: "Massacre is inevitable. Since I have to face such a checkpoint... all I can do is to ensure that I survive."

Not only survive one level, but he has to survive all the way through all levels and rescue all trapped challengers.