Winning strategy

100 balls, only 1, 5, 6 balls can be taken at a time. Whoever doesn't take the ball according to the rules will lose. Between Party A and Party B, Party A takes it first. Who has a winning strategy and how to get it?

Ladies and gentlemen, do you have any ideas? How about a simple warm-up first?

There are 100 balls. Only 1 or 2 balls can be taken at a time. Party A and Party B each have two players, and whoever gets the last ball will win. What is the winning strategy and how to get it?

Because only 1 or 2 can be taken at a time, Party A and Party B can only take 3 at most in one round. 100 divided by 3 gives the remainder of 33 1. That is, after 33 rounds, the last remaining 1. Whoever gets this 1 wins. Then, the winning strategy is: take first, take 1. After taking this 1, no matter how much the other party takes, we just need to make up 3. He takes 1 and we take 2; He takes two, and we take 1. As long as the total number of each round is 3, then the last ball must belong to us.

This is the winning strategy.

This is my son's Olympic math problem, which is quite interesting.

After all, what a desirable realm victory is.

Young and energetic, want to win? Buying a good school district is the key;

Xiaoshengchu, want to win? Learn olympiad well and win more prizes;

Chusheng, want to win? All subjects must not be poor, and all policies must be well studied;

Want to win the college entrance examination? Besides studying, what else?

Enter the society and want to win? There is no solution to this problem. ...

Retired, want to win? Good health is the most important thing.

Win, win, how can you win?

It is said that reading more, exercising more and thinking more will make life different.

It is said that self-discipline will bring you freedom.

Go ahead, go ahead, but there seems to be nothing.

After work, colleagues discuss how to go back in time and what things will change according to our current cognition.

A colleague said that she might read more books, get a good diploma, then travel to Beishangguang, and maybe become a famous journalist. She is tired of the routine life within the system.

A colleague said that she might marry an only child in Wuhan, so that she could have at least 6 to 8 suites and her life would not be so difficult. This colleague himself is an only daughter in Wuhan, but her husband is from the countryside and there are two brothers at home.

Think about it carefully, it seems that it is the work I used when I was studying, and there is no room for further improvement. I have no regrets at this point; It seems that when talking about marriage, I also found the object I am satisfied with, and because of him, I have grown a lot. At this point, I have no regrets. In terms of work, I am also quite satisfied. ...

Although my life is still full of all kinds of pressures, perhaps because of my limited ability and wisdom, even if I am given a chance to go back in time, I don't want to, can't and can't change anything, so what can I talk about?

Think of the sentence that was screened some time ago: Nine times out of ten, life is unsatisfactory, and I often think about one or two, not eight or nine.

I think if there is a winning strategy in life, it is gratitude.

Be grateful for the present, and everything that happens, good or bad, is just right.

Back to the question at the beginning, do you have an answer?

The answer is: A has a winning strategy, taking 1 for the first time.

As for the process, if you want to express it in words, it is estimated that it will be another thousand words. The idea is to find patterns through enumeration. After finding the period, we can find that the strategy of 100 ball is the same as that of 1 ball, that is, the person who takes it first has a winning strategy, and takes 1 ball.

I wish everyone can find a winning strategy that suits them!