The Spring Festival Gala during the Spring Festival has always been an important event for family reunions, where everyone gets together to taste delicious food and various wonderful programs. In this year's Spring Festival Gala, magician Liu Qian's performance became the focus, especially a magic trick involving cards, which immersed the audience. However, attentive viewers found that the host Nigmat Rahman failed in the performance and was exposed by Sa Beining, an alumnus of Bei** College. This makes us want to uncover the mystery behind this magic.
Magic Step 3: Place the first three cards in the middle of the pile and take out the top card of the pile and set it aside.
Magic Step 5: The boy throws away one card at the top of the pile, and the girl throws away the two cards at the top of the pile.
Magic Step 7: Start at the top of the pile, place the top card on the bottom of the pile, and then discard the top card of the pile. Repeat until only one card remains. Check that the card matches the card placed aside.
After the description of the above steps, we can find that there is a mathematical problem hidden behind this magic trick, which is the Joseph problem. Joseph's problem is to make a group of people numbered as,n people form a circle, and then let the people in it go out of the circle in turn according to certain rules, and what is the number of the last person left. Through the recursive method, we can get the formula for solving Joseph's problem. And Liu Qian's magic is the solution in the special case of Joseph's problem, that is, everyone reports that the number is 2 o'clock out of the circle.
In this magic, the number of the decks in the deck changes depending on the number of words in each person's name. From the description of the above steps, we can see that no matter what you do, the position of the last card left is fixed. As long as you do it correctly, the bottom card won't change. However, the host Nigmat made a mistake in the operation step and did not put the two cards in the middle as required, resulting in his final pairing failure.
By looking at the details in Liu Qian's magic performance, we can see that the host Nigmat made a mistake when inserting the deck. The footage captured on camera shows that he did not put the two cards in the middle as requested, but instead overlaid the pattern of one of the cards on the board that was originally at the bottom. This subtle mistake caused his pairing to fail, leaving a card in the pile that didn't match the one he had placed aside.
Behind this magic trick lies the mathematical Joseph problem, which is achieved through a series of complex steps that ultimately leave a card. However, the host Nigmat made a mistake in the operation process, which led to the failure of the magic. According to reports, in this year's Spring Festival Gala, magician Liu Qian performed a magic trick related to cards. The magic trick is exquisitely designed and creates a high sense of engagement among the audience. Many spectators took out their playing cards at home and followed Liu Qian to "witness the miracle". However, the host Nigmat Rahman failed in the performance and was exposed by Sa Beining. What is the secret behind this magic?
According to a popular science article on WeChat*** of the Student Union of the School of Mathematical Sciences of Peking University, this magic trick actually hides a mathematical problem, the Joseph problem. Joseph's problem is to make a group of people numbered as,n people form a circle, and according to a certain rule, let the people in the circle in turn, and what is the number of the last person left.
In Liu Qian's magic, the numbers in the deck change depending on the number of words in each person's name. After a series of steps, it is finally determined whether the bottom card matches the card placed on the side. However, the host, Nigmaiti, made an error while performing one of the steps, resulting in a failed final match.
This magic trick brings mystery and fun to the audience through the clever design of mathematical problems. Although the presenter failed in the performance, it also showed the challenge and skill of the magic. We can feel the charm of mathematics in this magic trick and appreciate Liu Qian's acting talent.
In short, this magic trick allows the audience to feel the mystery through the design of mathematical problems. Although the host Nigmat failed in the performance, it also showed everyone the skills of the magician and the challenge of the performance. At the same time, it is also an example of reminding us to be extra careful and focused when performing complex tasks.