Q: 既是多重背包, 还是找零问题, 怎么处理? A: 题意理解有误, 店主支付的硬币没有限制, 不占额度, 所以此题不比 1252 难多少 Description Farmer John has gone to town to buy some farm supplies. Being a very efficient man, he always pays for his goods in such a way that the smallest number of coins change…

POJ 3260 The Fewest Coins(多重背包+全然背包) http://poj.org/problem?id=3260 题意: John要去买价值为m的商品. 如今的货币系统有n种货币,相应面值为val[1],val[2]-val[n]. 然后他身上每种货币有num[i]个. John必须付给售货员>=m的金钱, 然后售货员会用最少的货币数量找钱给John. 问你John的交易过程中, 他给售货员的货币数目+售货员找钱给他的货币数目 的和最小值是多少? 分析: 本题与POJ 12…

[题目链接] http://poj.org/problem?id=3260 [题目大意] 给出你拥有的货币种类和每种的数量,商店拥有的货币数量是无限的, 问你买一个价值为m的物品,最少的货币流通数量为多少 [题解] 我们可以计算出买不同价值的物品,在没有找钱情况下的最少用币数量, 记为dp[i],这个可以用多重背包来完成,对于商店来说,我们可以计算出, 对于不同额度的找零,最少用币数量,记为f[i], 我们发现,对于货币流通最少,就是求dp[i+m]+f[i]的最小值, 由鸽巢原理可得我们只要计…

题目代号:POJ 3260 题目链接:http://poj.org/problem?id=3260 The Fewest Coins Time Limit: 2000MS Memory Limit: 65536K Total Submissions: 6715 Accepted: 2072 Description Farmer John has gone to town to buy some farm supplies. Being a very efficient man, he alway…

// 转载自http://blog.163.com/benz_/blog/static/18684203020115721917109/算法不难看出,就是一个无限背包+多重背包.问题在于背包的范围.设John出了X元,则需要找零X-T元.证明X不超过T+v_max^2:假设超过了,则找零超过v_max^2,则找零的货币数定超过v_max,根据抽屉原理,必然有若干个货币组合起来是v_max的倍数,那么这些货币肯定可以在给钱的时候少给一些,从而推出这样的方案肯定不是最优方案.复杂度:O(n*(T+v…

Description On January 1st 2002, The Netherlands, and several other European countries abandoned their national currency in favour of the Euro. This changed the ease of paying, and not just internationally. A student buying a 68 guilder book before J…

题意:FJ身上有各种硬币,但是要买m元的东西,想用最少的硬币个数去买,且找回的硬币数量也是最少(老板会按照最少的量自动找钱),即掏出的硬币和收到的硬币个数最少. 思路:老板会自动找钱,且按最少的找,硬币数量也不限,那么可以用完全背包得出组成每个数目的硬币最少数量.而FJ带的钱是有限的,那么必须用多重背包,因为掏出的钱必须大于m,那么我们所要的是大于等于m钱的硬币个数,但是FJ带的钱可能很多,超过m的很多倍都可能,那么肯定要有个背包容量上限,网上说的根据抽屉原理是m+max*max,这里的max指…

The Fewest Coins DescriptionFarmer John has gone to town to buy some farm supplies. Being a very efficient man, he always pays for his goods in such a way that the smallest number of coins changes hands, i.e., the number of coins he uses to pay plus…

题目描述 Description 在现实生活中,我们经常遇到硬币找零的问题,例如,在发工资时,财务人员就需要计算最少的找零硬币数,以便他们能从银行拿回最少的硬币数,并保证能用这些硬币发工资. 我们应该注意到,人民币的硬币系统是100,50,20,10,5,2,1,0.5,0.2,0.1,0.05,0.02,0.01 元,采用这些硬币我们可以对任何一个工资数用贪心算法求出其最少硬币数.但不幸的是:我们可能没有这样一种好的硬币系统,因此用贪心算法不能求出最少的硬币数,甚至有些金钱总数还不能用这些硬币…

You are given coins of different denominations and a total amount of money. Write a function to compute the number of combinations that make up that amount. You may assume that you have infinite number of each kind of coin. Note: You can assume that…