1)输入格式说明: 以指数递降方式输入多项式非零项系数和指数)(绝对值均为不超过1000的 整数)。数字间以空格分隔。 (2)输出格式说明: 以与输入相同的格式输出导数多项式非零项的系数和指数。数字间以空格分 B品但结尾不能有多余空格。设计代码
时间: 2024-10-23 15:15:13 浏览: 22
二值图像的Tchebichef 矩缩放不变量
在设计这样的程序时,你需要编写一个函数,接受用户输入的多项式的系数和指数,然后计算并返回其导数的对应系数和指数。这里是一个基本的Python代码示例:
```python
def calculate_derivative(coeff, power):
if power > 0:
derivative_coeff = coeff * power * (power - 1)
else:
derivative_coeff = 0
return derivative_coeff, power - 1
def format_output(coeff, power):
if coeff != 0:
result = str(abs(coeff)) + ' ' + str(power)
else:
result = ''
return result.strip() # 移除多余的空格
def polynomial_derivative(input_str):
coefficients = input_str.split()
coefficients = [int(coeff) for coeff in coefficients] # 将字符串转换成整数列表
output_coefficients = []
for i, coefficient in enumerate(coefficients):
exponent = len(coefficients) - i - 1 # 计算当前项的指数
derivative_coeff, new_exponent = calculate_derivative(coefficient, exponent)
if derivative_coeff:
formatted_derivative = format_output(derivative_coeff, new_exponent)
output_coefficients.append(formatted_derivative)
# 输出导数多项式,注意格式
return ' '.join(output_coefficients)
# 用户输入示例
input_poly = "5 3 -2 1"
output_poly = polynomial_derivative(input_poly)
print("导数多项式:", output_poly)
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