三角數(shù)字,也被稱為帕斯卡三角形(Pascal’s Triangle),每一行的數(shù)字代表二項式展開的系數(shù)。在Python中,你可以使用以下幾種方法來打印帕斯卡三角形:
使用遞歸函數(shù)來生成帕斯卡三角形。
def generate_pascals_triangle(n):
triangle = [[1]]
for i in range(1, n):
row = [1]
last_row = triangle[-1]
for j in range(1, len(last_row) - 1):
row.append(last_row[j - 1] + last_row[j])
row.append(1)
triangle.append(row)
return triangle
def print_pascals_triangle(triangle):
for row in triangle:
print(" ".join(str(num) for num in row).center(len(triangle[-1]) * 4))
n = int(input("請輸入帕斯卡三角形的行數(shù):"))
triangle = generate_pascals_triangle(n)
print_pascals_triangle(triangle)
使用迭代方法生成帕斯卡三角形。
def generate_pascals_triangle(n):
if n == 0:
return []
if n == 1:
return [[1]]
triangle = [[1]]
for i in range(1, n):
row = [1]
last_row = triangle[-1]
for j in range(1, len(last_row)):
row.append(last_row[j - 1] + last_row[j])
row.append(1)
triangle.append(row)
return triangle
def print_pascals_triangle(triangle):
for row in triangle:
print(" ".join(str(num) for num in row).center(len(triangle[-1]) * 4))
n = int(input("請輸入帕斯卡三角形的行數(shù):"))
triangle = generate_pascals_triangle(n)
print_pascals_triangle(triangle)
這兩種方法都可以生成指定行數(shù)的帕斯卡三角形,并使用print_pascals_triangle
函數(shù)以格式化的方式打印出來。