Open the door to mystery

Mind reading: 1. Choose a two-digit number (actually only 0~99), add it to a ten-digit number, and then subtract the sum from this two-digit number. For example, choose 20,2+0 = 2 and 20-2 = 18.

2. Find the differences between the left and right diagrams. For example, 18 obtained in the example. Remember the corresponding symbols in your mind, click Continue, and you will find that the displayed graphics are the ones recorded in your mind.

End of mind reading: You will find that this is the figure in your mind.

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In fact, when I first saw any double digits, Bian Xiao knew that this game was not an entertainment game. I followed the prompts. After several "mind-reading", Bian Xiao found that this must follow certain rules.

In the prompt to start the game, the conclusion of 18 is drawn, and the first reaction is the first rule. In other words, his tips have not changed, and they are all 18. What does this mean? So press try again, read your mind again, and find that the pattern of 18 must be the final answer.

Fixed number: From the above, we know that there must be such a fixed number to complete the result. The first time I read my mind, I was the first to think of the number 00. Aren't all zeros after addition and subtraction? 0 is one of them.

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Rule: Make a small title to spell the word mathematics, and now solve the truth of the so-called mind reading.

Let the ten digits be x and the single digits be y.

Ten digits are ten times as many as single digits, actually expressed as 10X. For example, 5 is ten digits, which is actually 10X, which is 50.

Two digits are expressed as (10X+Y). For example, ten digits are 5 and one digit is 6, that is, 5* 10+6=56.

Ten digits plus one digit is (X+Y)

Two digits minus ten digits plus one digit:

( 10X+Y)-(X+Y)

= 10X+Y-X-Y

=9X

So the number of this fixed pattern in your mind is a multiple of 9.

For example: 56-(5+6)

=50+6-5-6

=50-5

=45

=(9*5)，9x

The conclusion has come out. After all, it is this two-digit MINUS ten digits, which is a multiple of 9.

Many people have also seen the principle of mind reading. Most people find the rule through many experiments.

As long as the multiple of 9 is designed as the final result, the rest of the numbers are irrelevant. There will be several versions of the game about mind reading, but the background and pattern have changed, and the method has not changed. There are many games about gypsies' mind reading. Are they really amazing?

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If you download this game, you can give it to your friends to test. If you don't want your friends to know the principle of mind reading so quickly, or don't let them know at all. You can give your friends less opportunities to read minds, such as twice, once for the left boundary and once for the right boundary. Most people usually choose the middle number for the first test. As long as your friend doesn't find the test value of 00, he may not expose too much. Explain it to you when your friend is confused and magical.

(constituting a verb) means "to put in a state of ..."

Do three digits apply?

The XY given by Bian Xiao is positive, but is XY only used for ten digits?

Suppose it is any three digits.

Similarly, let the hundredth place be z, the tenth place be x, and the unit place be y.

Actual number: (100Z+ 10X+Y), so we still want it to be 9X after calculation, so we need to get the subtracted number.

Suppose this percentile is 12 1, and the calculation result is:121-(1+2+1) = 1 17,/.

It shows that this formula is also applicable to hundreds:100z+10x+y-(z+x+y) = 99z+9x.

You will find that (99Z+9X) is a multiple of 9.

Verification: 99 *1+9 * 2 = 99+18 =117.

The selection rule of arbitrary three digits is obtained: subtract the sum of its hundred digits, ten digits and digits from these three digits, and the pattern codes obtained are all multiples of 9.

In other words, the law of three-digit change also applies.

Do negative numbers apply?

Example: two digits: ten are X and one is Y.

How does this two-digit number (-10X-Y) get -9X? That's right. Add ten to the sum in the unit.

(- 10X-Y)+(X+Y)=-9X

Arbitrary negative two-digit rule: this negative two-digit number plus the sum of its ten digits and four digits, the pattern code obtained is a multiple of 9.

After changing the rules, negative numbers also apply.

The conclusion is that as long as it is an integer, it is also applicable as long as the rules are changed.

end

Law of self-innovation: As far as mind reading is concerned, we can add up the difference between the ten digits and the single digits.

10X+Y+(X-Y)= 1 1X

The result is a multiple of 1 1.

Such a mind-reading game, ancient rivers and lakes have this kind of mathematical divination. For example, when guessing age, participants will establish a certain relationship between one digit and ten digits of their age as required, but they will not tell each other, such as adding or multiplying a certain number as required. Then the questioner will use the seemingly complicated formula to calculate the answer immediately after the simple formula is merged and cancelled.

Bian Xiao said so much about such a simple mathematical principle that we should know how to solve this difficult problem by ourselves.

Life lies in creation, and people should have a creative brain, unconstrained style and unconstrained style.