Hello everyone, I watched the magic trick of holding cups in the Spring Festival Gala. As I thought, there must be some math problems, so I tried to implement them in python.
Disrupt the order of spoons, chopsticks, and cups
We can implement it with the following code:
import random kuaizi = 'Chopsticks' shaozi = 'spoon' beizi = 'cup' l = [kuaizi, shaozi, beizi] (l)
Chopsticks and left exchange
i = (kuaizi) if i != 0: l[i-1], l[i] = l[i], l[i-1]
The cup and the right side interchange
i = (beizi) if i != 2: l[i+1], l[i] = l[i], l[i+1]
Spoon and left interchange
i = (shaozi) if i != 0: l[i-1], l[i] = l[i], l[i-1]
Pick up something
print("Left hand:",l[0],"Right hand:",l[2])
From the output, we can see that no matter how it runs, the output is holding the cup in the right hand. Let's verify it:
import random kuaizi = 'Chopsticks' shaozi = 'spoon' beizi = 'cup' j = 0 for _ in range(1000000): l = [kuaizi, shaozi, beizi] (l) # Interchange of chopsticks and left i = (kuaizi) if i != 0: l[i-1], l[i] = l[i], l[i-1] #The cup and the right side interchange i = (beizi) if i != 2: l[i+1], l[i] = l[i], l[i+1] #Spoon and left exchange i = (shaozi) if i != 0: l[i-1], l[i] = l[i], l[i-1] if l[2] == beizi: j += 1 print(j/1000000)
The final output is 1.0, which means that the right hand will definitely pick up the cup. Can anyone explain it?
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