"This time it is Gomoku, the rules remain the same, the pieces need to be placed at the intersection of the line, and whoever joins the five first wins.
But the difference is that this time we only play three games, you play black chess first, and finally as long as my win is less than 2, then I will leave from here immediately.
And I can tell you very clearly that whether or not the ban is restricted, in the case of both sides adopting the optimal solution, the first hand will win, that is, the black chess will win.
(For the principle of winning first, see Janos Wagner's paper in 2001 to prove it)
The previous tic-tac-toe was just a pretense, and the simple game logic was placed in the original world, even if a child was randomly caught from the crowd, it was estimated that he would understand the principle of being undefeated first.
It is precisely because there are too few "limited moves" in tic-tac-toe, so as long as everyone understands a little principle, everyone can implement the "best strategy", and then Zemelo's theorem will take effect.
What happens when both warring parties adopt the "optimal solution" strategy?
Quite simply, this will cause the whole game to lose its course, and the beginning after the decision is made means the end.
And Luo Li's later proposed gomoku, in fact, the principle is the same, but the upper limit of the "limited number of moves" has increased.
Alice can naturally see this, although both are games of the same principle, the rules are very simple, just like a child's household, but the magnitude of calculations is not at the same level at all.
"I hope you keep your promise."
"That's nature."
Luo Li was not nervous at all, even if she clearly said that the first hand would win, and even gave the opportunity of the first hand to Alice, but she didn't seem to think that Alice would win at all.
And Luo Li's indifference and relaxation were completely seen by Alice.
What is it to give me the first hand when I know that the advantage is great? Look down on me?
Phew -
Alice took a deep breath, comforting herself as usual to use all her strength and try hard, while carrying this emotion began to fall.
"Snap!"
This sound actually lays two chess pieces, but because the interval between these two sounds is too short, it will sound like one.
Alice's son had just fallen, and Luo Li was almost completely synchronized with Alice, as if she had already guessed where Alice would go down in advance.
"It's a mystery."
"Snap!"
This time it was the same result, almost at the moment when Alice had just fallen, Luo Li had already completed the fall, and there seemed to be no time to think at all.
Although this way of falling will bring a certain psychological pressure to the opponent, it usually greatly reduces the possibility of their own tolerance.
After all, the faster it falls, the shorter the time to think; The shorter the thinking time, the higher the probability that the situation under consideration may not be completely sufficient; As long as it is not completely sufficient, then it is most likely not the "optimal strategy"; As long as it is not the "optimal strategy", the greater her chance of winning for Alice.
"Phew - can not be affected, rest assured to fall, the upper boundary of the 19-way Go game is only 2.08 * 10^170 kinds, and Gomoku is much less than Go, she falls so fast may not be fully considered, as long as I play steadily, I can definitely win!"
Under the adjustment of this self-comforting situation, Alice's falling time did not change easily due to Luo Li's instantaneous fall, and the interval between her falling times was basically the same.
The first few steps were very smooth, Luo Li under Luo Li, Alice under Alice, the two were both offensive and defensive, and the overall situation did not open up much gap.
It's just that after about a few rounds, Luo Li's instantaneous fall made Alice a little confused all of a sudden.
The reason for the confusion is not because of how perfect Luo Li's chess piece is, but that this chess piece is completely a waste chess piece at first glance, as if Luo Li is deliberately letting Alice have a son.
"You don't need to let it, Gomoku dares to let a son, how confident are you in your strength?"
Alice was not frightened by Luo Li's strange drop, but continued to follow her previous method.
It's a pity that because the offensive end was sealed by Luo Li very dead, Alice still did not find a killing move that could "live three ways with one son" after reviewing the overall situation.
Just as Alice was about to fall, she suddenly realized something.
"That's not right! In the case of my first hand, she should not just give up one son, which is completely giving up two sons from a certain point of view, but why can't I find a breakthrough?
This shows that one of her previous falling behaviors directly blocked my two steps? It's not scientific.
Alice retracted her arm that was about to fall and began to carefully observe the game.
Luo Li was also not in a hurry, just quietly looked at Alice's gaze and observed her habits.
Do you say that Luo Li can still guarantee that he will win when he is backhanded?
No, no, no matter how clever Luo Li is, there is no way to win in the game of tic-tac-toe.
Therefore, if the other party is Ai, then Luo Li's hand is still likely to lose after choosing.
For black chess, if you master the winning chess scores such as Hua Yue, Pu Yue, Cold Star, and Water Moon, and can completely copy them, then Luo Li can't do anything about these unsolvable chess scores.
But now the difference is that the other party is not AI.
For Alice, backgammon may be a relatively new game, but its rules are not new, not to mention that the torch ceremony does not necessarily use this game.
If she wants to fully master the winning rule of Gomoku, she must figure out the first-hand winning chess spectrum in her brain in this short few chess moves, that is, to achieve the theoretical "optimal strategy".
This strategy is certainly easy to find on tic-tac-toe, because there are not many upper bounds of the situation, but in the 19x19 chess score, this calculation magnitude goes up at once.
Therefore, even if you know that the first hand has the law of victory, Alice cannot fully grasp it in this very short time, that is, she cannot do the theoretical "optimal strategy", so the original no solution will become a solution.
What's more, Luo Li's way of falling may not be very good for Ai, because Ai will not take care of Luo Li at all.
But for thinking intelligent beings, some unambiguous falls will produce induced psychology, especially when the other party finds that one of the steps has been "swallowed".
Therefore, strictly speaking, Luo Li did not use the "optimal strategy", the previous tic-tac-toe game was just an induction tool, and she was inducing Alice to think in terms of the "optimal strategy" at every step.
This will produce a situation, if Luo Li can also calculate the "optimal strategy", then Alice's fall is actually completely predictable on Luo Li's side, which will have the previous instantaneous drop method.
But on the contrary, Luo Li's fall is a little erratic and even a little "weird" for Alice, which may be good to say at first, but after a long time, all of Alice's thinking habits will be completely understood by Luo Li.
So in a sense, Luo Li actually doesn't need to win in order to win.
But the difference is that this time we only play three games, you play black chess first, and finally as long as my win is less than 2, then I will leave from here immediately.
And I can tell you very clearly that whether or not the ban is restricted, in the case of both sides adopting the optimal solution, the first hand will win, that is, the black chess will win.
(For the principle of winning first, see Janos Wagner's paper in 2001 to prove it)
The previous tic-tac-toe was just a pretense, and the simple game logic was placed in the original world, even if a child was randomly caught from the crowd, it was estimated that he would understand the principle of being undefeated first.
It is precisely because there are too few "limited moves" in tic-tac-toe, so as long as everyone understands a little principle, everyone can implement the "best strategy", and then Zemelo's theorem will take effect.
What happens when both warring parties adopt the "optimal solution" strategy?
Quite simply, this will cause the whole game to lose its course, and the beginning after the decision is made means the end.
And Luo Li's later proposed gomoku, in fact, the principle is the same, but the upper limit of the "limited number of moves" has increased.
Alice can naturally see this, although both are games of the same principle, the rules are very simple, just like a child's household, but the magnitude of calculations is not at the same level at all.
"I hope you keep your promise."
"That's nature."
Luo Li was not nervous at all, even if she clearly said that the first hand would win, and even gave the opportunity of the first hand to Alice, but she didn't seem to think that Alice would win at all.
And Luo Li's indifference and relaxation were completely seen by Alice.
What is it to give me the first hand when I know that the advantage is great? Look down on me?
Phew -
Alice took a deep breath, comforting herself as usual to use all her strength and try hard, while carrying this emotion began to fall.
"Snap!"
This sound actually lays two chess pieces, but because the interval between these two sounds is too short, it will sound like one.
Alice's son had just fallen, and Luo Li was almost completely synchronized with Alice, as if she had already guessed where Alice would go down in advance.
"It's a mystery."
"Snap!"
This time it was the same result, almost at the moment when Alice had just fallen, Luo Li had already completed the fall, and there seemed to be no time to think at all.
Although this way of falling will bring a certain psychological pressure to the opponent, it usually greatly reduces the possibility of their own tolerance.
After all, the faster it falls, the shorter the time to think; The shorter the thinking time, the higher the probability that the situation under consideration may not be completely sufficient; As long as it is not completely sufficient, then it is most likely not the "optimal strategy"; As long as it is not the "optimal strategy", the greater her chance of winning for Alice.
"Phew - can not be affected, rest assured to fall, the upper boundary of the 19-way Go game is only 2.08 * 10^170 kinds, and Gomoku is much less than Go, she falls so fast may not be fully considered, as long as I play steadily, I can definitely win!"
Under the adjustment of this self-comforting situation, Alice's falling time did not change easily due to Luo Li's instantaneous fall, and the interval between her falling times was basically the same.
The first few steps were very smooth, Luo Li under Luo Li, Alice under Alice, the two were both offensive and defensive, and the overall situation did not open up much gap.
It's just that after about a few rounds, Luo Li's instantaneous fall made Alice a little confused all of a sudden.
The reason for the confusion is not because of how perfect Luo Li's chess piece is, but that this chess piece is completely a waste chess piece at first glance, as if Luo Li is deliberately letting Alice have a son.
"You don't need to let it, Gomoku dares to let a son, how confident are you in your strength?"
Alice was not frightened by Luo Li's strange drop, but continued to follow her previous method.
It's a pity that because the offensive end was sealed by Luo Li very dead, Alice still did not find a killing move that could "live three ways with one son" after reviewing the overall situation.
Just as Alice was about to fall, she suddenly realized something.
"That's not right! In the case of my first hand, she should not just give up one son, which is completely giving up two sons from a certain point of view, but why can't I find a breakthrough?
This shows that one of her previous falling behaviors directly blocked my two steps? It's not scientific.
Alice retracted her arm that was about to fall and began to carefully observe the game.
Luo Li was also not in a hurry, just quietly looked at Alice's gaze and observed her habits.
Do you say that Luo Li can still guarantee that he will win when he is backhanded?
No, no, no matter how clever Luo Li is, there is no way to win in the game of tic-tac-toe.
Therefore, if the other party is Ai, then Luo Li's hand is still likely to lose after choosing.
For black chess, if you master the winning chess scores such as Hua Yue, Pu Yue, Cold Star, and Water Moon, and can completely copy them, then Luo Li can't do anything about these unsolvable chess scores.
But now the difference is that the other party is not AI.
For Alice, backgammon may be a relatively new game, but its rules are not new, not to mention that the torch ceremony does not necessarily use this game.
If she wants to fully master the winning rule of Gomoku, she must figure out the first-hand winning chess spectrum in her brain in this short few chess moves, that is, to achieve the theoretical "optimal strategy".
This strategy is certainly easy to find on tic-tac-toe, because there are not many upper bounds of the situation, but in the 19x19 chess score, this calculation magnitude goes up at once.
Therefore, even if you know that the first hand has the law of victory, Alice cannot fully grasp it in this very short time, that is, she cannot do the theoretical "optimal strategy", so the original no solution will become a solution.
What's more, Luo Li's way of falling may not be very good for Ai, because Ai will not take care of Luo Li at all.
But for thinking intelligent beings, some unambiguous falls will produce induced psychology, especially when the other party finds that one of the steps has been "swallowed".
Therefore, strictly speaking, Luo Li did not use the "optimal strategy", the previous tic-tac-toe game was just an induction tool, and she was inducing Alice to think in terms of the "optimal strategy" at every step.
This will produce a situation, if Luo Li can also calculate the "optimal strategy", then Alice's fall is actually completely predictable on Luo Li's side, which will have the previous instantaneous drop method.
But on the contrary, Luo Li's fall is a little erratic and even a little "weird" for Alice, which may be good to say at first, but after a long time, all of Alice's thinking habits will be completely understood by Luo Li.
So in a sense, Luo Li actually doesn't need to win in order to win.
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