python解决鸡兔同笼 python求鸡兔同笼函数_python解决鸡兔同笼

方法一:通过sympy的方法进行计算

from sympy import Symbol,solve,pprint
x = Symbol('x')
y = Symbol('y')
n = Symbol('n')
m = Symbol('m')
expr1 = x + y - n
expr2 =2*x+4*y- m
solution = solve((expr1,expr2),(x,y),dict=True)
chicken = solution[0][x].subs({n:35,m:94})
rabbits = solution[0][y].subs({n:35,m:94})
print(f'There are {chicken} chicken.')
print(f'There are {rabbits} rabbits.')

结果如下:

There are 23 chicken.
There are 12 rabbits.

方法二:通过解析式编写函数求解
假设有python解决鸡兔同笼 python求鸡兔同笼函数_方程组_02只鸡,python解决鸡兔同笼 python求鸡兔同笼函数_python解决鸡兔同笼_03只兔子,我们可以列出以下方程组:
python解决鸡兔同笼 python求鸡兔同笼函数_方程组_04
得到的解为:
python解决鸡兔同笼 python求鸡兔同笼函数_python解决鸡兔同笼_05
据此,我们可以写出以下函数进行该问题的求解:

def chicken_and_rabbits(nheads,mlegs):
	rabnum = mlegs/2 - nheads
	chinum = 2*nheads - mlegs/2
	return chinum,rabnum

chicken = int(chicken_and_rabbits(35,94)[0])
rabbits = int(chicken_and_rabbits(35,94)[1])

print(f'There are {chicken} chicken.')
print(f'There are {rabbits} rabbits.')

最后的结果如下:

There are 23 chicken.
There are 12 rabbits.