python實現(xiàn)楊輝三角的幾種方法代碼實例

def triangle_1(x):
 """
 :param x: 需要生成的楊輝三角行數(shù)
 :return:
 """
 triangle = [[1], [1, 1]] # 初始化楊輝三角
 n = 3 # 從第三行開始計數(shù),逐行添加
 while n = x:
  for i in range(0, n-1):
   if i == 0:
    # 添加初始列表[1,1],楊輝三角每行的首位和末位必為1
    triangle.append([1, 1])
   else:
    # 逐位計算，并插入初始列表中
    triangle[n-1].insert(i, triangle[n - 2][i] + triangle[n - 2][i - 1])
  n += 1
 return triangle

x = 11
triangle = triangle_1(x)
 
# 遍歷結(jié)果，逐行打印
for i in range(x):
 print(' '.join(str(triangle[i])).center(100)) # 轉(zhuǎn)為str,居中顯示

def triangle_2(n):
 """
 :param n: 需要生成的楊輝三角行數(shù)
 :return: 
 """
 triangle = [1] # 初始化楊輝三角
 for i in range(n):
  yield triangle
  triangle.append(0) # 在最后一位加個0，用于計算下一行
  triangle = [triangle[i] + triangle[i - 1] for i in range(len(triangle))]

# 從生成器取值
for i in triangle_5(10):
 print(''.join(str(i)).center(100)) # 格式化輸出

def triangle_4(n):
 """
 :param n:需要生成的楊輝三角行數(shù)
 :return:
 """
 triangle = [1] # 初始化楊輝三角
 if n == 0:
  return triangle
 return [x+y for x, y in zip([0] + triangle_4(n - 1), triangle_4(n - 1) + [0])]

for i in range(10):
 print(''.join(str(triangle_4(i))).center(100))