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HomeBackend DevelopmentPython TutorialHow to implement Yang Hui triangle in python (code)

The content of this article is about how to implement Yang Hui's triangle (code) in Python. It has certain reference value. Friends in need can refer to it. I hope it will be helpful to you.

Yang Hui triangle Yang Hui is defined as follows:

         1
        / \
       1   1
      / \ / \
     1   2   1
    / \ / \ / \
   1   3   3   1
  / \ / \ / \ / \
  1   4   6   4   1
 / \ / \ / \ / \ / \
1   5   10  10  5   1

Consider each line as a list, try to write a generator, and continuously output the list of the next line:

def triangles():
    L = [1]
    while True:
        yield L
        
        M=L[:]#复制一个list,这样才不会影响到原有的list。不然results里的每个列表的末尾会为0.
        M.append(0)
        L = [M[i-1]+M[i] for i in range(len(M))] 
        
n =0
results = []
for t in triangles():
    
    print(t)
    results.append(t)
    print(results)
    n = n +1
    if n == 10:
        break

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