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使用python生成杨辉三角形的示例代码

yipeiwu_com7年前 (2020-03-06)Python基础

杨辉三角杨辉定义如下：

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

把每一行看做一个list，试写一个generator，不断输出下一行的list：

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

ps：如何实现心

def printlove(start,length,midnumber=0,flag=31):
  for i in range(31):
    if i<start or i>start+length-1 and i<15-(midnumber-1)/2 or i>15+(midnumber-1)/2 and i<31-start-length or i> 30-start or i==flag:
      print " ",
    else:
      print "*",
  print ""
for i in range(16):
  if i ==0:
      printlove(4,3)
  elif i==1:
      printlove(1,9)
  elif i>=2 and i<=5:
      printlove(0,i+10)
  elif i==6:
      printlove(1,7,7,15)
  elif i>=7 and i<=8:
      printlove(i-5,6,5-(i-7)*2)
  elif i==9:
      printlove(5,6,1)
  elif i==10:
      printlove(8,6,1)
  elif i==15:
      printlove(15,1,1)
  else:
      printlove(i-1,16-i,1)

实现的效果如下：