Python实现杨辉三角,超详细!

巧妙实现杨辉三角代码

def triangles():
    N=[1]   #初始化为[1],杨辉三角的每一行为一个list
    while True:
        yield N  #yield 实现记录功能,没有下一个next将跳出循环,
        S=N[:]   #将list N赋给S,通过S计算每一行
        S.append(0) #将list添加0,作为最后一个元素,长度增加1
        N=[S[i-1]+S[i] for i in range(len(S))]  #通过S来计算得出N


n = 0
results = []
for t in triangles():
    print(t)
    results.append(t)
    n = n + 1
    if n == 10:
        break
if results == [
    [1],
    [1, 1],
    [1, 2, 1],
    [1, 3, 3, 1],
    [1, 4, 6, 4, 1],
    [1, 5, 10, 10, 5, 1],
    [1, 6, 15, 20, 15, 6, 1],
    [1, 7, 21, 35, 35, 21, 7, 1],
    [1, 8, 28, 56, 70, 56, 28, 8, 1],
    [1, 9, 36, 84, 126, 126, 84, 36, 9, 1]
]:
    print('测试通过!')
else:
    print('测试失败!')

分析 

 N=[S[i-1]+S[i] for i in range(len(S))]
设上一个N为[1,1]
则S=[1,1,0]
通过式子可以得出
N=[1,2,1]
原文地址:https://www.cnblogs.com/findlisa/p/10179160.html