背包问题(01背包,完全背包,多重背包) - 捣乱小子 - 博客园



背包问题(01背包,完全背包,多重背包) - 捣乱小子 - 博客园

不死族的巫妖王发工资拉,死亡骑士拿到一张N元的钞票(记住,只有一张钞票),为了防止自己在战斗中频繁的死掉,他决定给自己买一些道具,于是他来到了地精商店前.

死亡骑士:"我要买道具!"

地精商人:"我们这里有三种道具,血瓶150块一个,魔法药200块一个,无敌药水350块一个."

死亡骑士:"好的,给我一个血瓶."

说完他掏出那张N元的大钞递给地精商人.

地精商人:"我忘了提醒你了,我们这里没有找客人钱的习惯的,多的钱我们都当小费收了的,嘿嘿."

死亡骑士:"......你妹"

死亡骑士想,与其把钱当小费送个他还不如自己多买一点道具,反正以后都要买的,早点买了放在家里也好,但是要尽量少让他赚小费.

现在死亡骑士希望你能帮他计算一下,最少他要给地精商人多少小费.

上面就是一个01背包问题。上面的问题可以描述为: 

有n个物品,每个物品的重量为weight[i],每个物品的价值为value[i]。现在有一个背包,它所能容纳的重量为total,问:当你面对这么多有价值的物品时,你的背包所能带走的最大价值是多少?

思路:每个物品无非是装入背包或者不装入背包,那么就一个一个物品陆续放入背包中。可以有


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