This year's Spring Festival Gala.
Liu Qian's card magic trick impressed everyone.
I couldn't help but pick up the playing cards and play along.
There are many netizens who pointed out.
Actually, this magic trick is not only a magic trick.
It's even moreMath problems
It's not. School of Mathematical Sciences, Peking Universityof many classmates.
This is analyzed from a mathematical point of view.
Today is the second day of the Lunar New Year.
Let's use our brains together!
Magic revealed
Step 1
We made the four cards 1234 and tear them apart to produce two sets (half-cards) of cards numbered 1234, which were stacked together to form a deck of cards with a number of 12341234 from top to bottom.
Step two
At this point we can notice that no matter how many cards from the top of the pile are moved to the bottom of the pile, the number of the resulting playing pile (from top to bottom) will only have the following results:
12341234 (the number of names is divisible by four).
23412341 (the number of words in the name is more than four).
34123412 (name, word count, modulus, four, more than two).
41234123 (name, word number, four, and three).
Looking at the above possible decks, we can see that the resulting decks all have the following properties:
1.The first four cards and the last four cards are in exactly the same order.
2.The first four cards and the last four cards are a rotation of 1234, respectively.
Step 3
From this step onwards, we will only consider the four and eighth cards in the current pile, which are marked as x, and the other cards as zero. Based on the discussion in the previous step, we can get the current deck as follows:
000x000x
After placing the first three cards in the middle of the pile, no matter where the three are placed, the resulting pile will be:
x000000x
As a result, the card chosen for the pair will be an x, and the other card to be paired (called the target card) will be at the bottom of the pile.
Step 4
After the previous step, the piles are numbered000000x, therefore, no matter how many cards are inserted into the pile in this round, it will not affect the position of the target card and will still be at the bottom of the pile.
Step five
At this point, the boy's pile is:00000x
The girls' decks are:0000x
Step 6
After trying to figure it out, after step 6, you will get the following pile:
Boys0000x0
Girls00x00
Step 7
It's not hard to see. Behind this magic.
It's actually a mathematical problem.
It is calledJoseph Question
In that case, why did the host Nigmat fail?
In steps 3 and 4, if done correctly, the bottom card in each host's hand does not change, and this happens to be the card left after step 7.
However, while proceeding to step 4, pay attention to Nigmaiti's hand movements:
It turned out,Nigmat didn't put the two cards in the middle as required, resulting in a losing match for him.
Netizen comments
Touched by Qingqi :The end of math turned out to be magic!
Egg yolk pie melts into the heart :The end of the magic turned out to be the algorithm!
DJ Hot :The best part of this magic trick is not the technique or principle, but it breaks through the limitations of the screen, breaks through the distance of the network, and allows all the people who watch the Spring Festival Gala to participate together, and at the moment of obtaining the results, the joy of the people of the whole country has reached a high point.
s Gu Xiaoran s :You can see that there is a formula for this on the spot, but the highlight lies in Liu Qian's mastery of the atmosphere. It's a lot better than the principle of magic itself.
altalune_sirius ：Sure enough, the world is a huge math.
The clouds are rolling and the clouds are with the clouds:Ni: It's over, I didn't keep up with the teacher's train of thought in math class.
arsenal_x_h_t: A math problem, there is really infinite wisdom hidden behind the magic, which is breathtaking.
Skyrim丨Walker:In fact, as long as you make sure that the eighth card in your hand does not move before throwing the card, it will always stay in your hand. Ni should have plugged a card to the end when he was plugged, so he failed.
Tiny playing cards.
Hands and brains.
After this analysis, please ask.
Are you up to speed?
* Peking University, Jiangsu News, netizen comments, etc.