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牛吃草问题又称为牛顿牧场,是17世纪英国伟大的科学家牛顿提出来的。典型牛吃草问题的条件是假设草的生长速度固定不变,不同头数的牛吃光同一片草地所需的天数各不相同,求若干头牛吃这片草地可以吃多少天。由于吃的天数不同,草又是天天在生长的,所以草的存量随牛吃的天数不断地变化。解决牛吃草问题重点是要想办法从变化中找到不变量。牧场上原有的草是不变的,新长的草虽然在变化,但由于是
Cattle grazing, also known as Newton Ranch, was proposed by Newton, a great British scientist in the 17th century. The typical cow grazing problem is based on the assumption that the growth rate of grass is constant. The number of days required for different numbers of cattle to eat the same grass varies, and how many days can a cow eat? Due to the different days of eating, grass is growing every day, so the stock of grass varies with the number of days the cow eats. The key to solving the cattle grazing problem is to find ways to find invariants from the changes. The original grass on the ranch is unchanged, although the new grass is changing, but because of it