今日难题(2) ：牛顿的草地与母牛问题Newton's Problem of the Fields and Cows

[中国人在渥太华]

牛顿的草地与母牛问题Newton's Problem of the Fields and Cows

a头母牛将b块地上的牧草在c天内吃完了；
a'头母牛将b'块地上的牧草在c'天内吃完了；
a"头母牛将b"块地上的牧草在c"天内吃完了；

求出从a到c"9个数量之间的关系？

Assume that all the fields provide the same amount of grass, that the daily growth of the fields remains constant, and that the cows eat the same amount each day.

 

[Kent以东首帅哥]

0 <= (a,b,c,a',b',c',a",b",c")< inf