USACO Section 5.3 Milk Measuring (IDDFS+dp)
迭代加深搜索,从小到大枚举桶数的上限maxd:对每个maxd,枚举每个组合,判断是否能够倒出q;直到得到answer。判断的部分就用dp(完全背包)。
-------------------------------------------------------------------------
-------------------------------------------------------------------------
Milk Measuring
Hal Burch
Farmer John must measure Q (1 <= Q <= 20,000) quarts of his finest milk and deliver it in one big bottle to a customer. He fills that bottle with exactly the number of quarts that the customer orders.
Farmer John has always been frugal. He is at the cow hardware store where he must purchase a set of pails with which to measure out Q quarts of milk from his giant milk tank. Since the pails each cost the same amount, your task is to figure out a minimal set of pails Farmer John can purchase in order to fill a bottle with exactly Q quarts of milk. Additionally, since Farmer John has to carry the pails home, given two minimal sets of pails he should choose the "smaller" one as follows: Sort the sets in ascending order. Compare the first pail in each set and choose the set with the smallest pail. If the first pails match, compare the second pails and choose from among those, else continue until the two sets differ. Thus the set {3, 5, 7, 100} should be chosen over {3, 6, 7, 8}.
To measure out milk, FJ may completely fill a pail from the tank and pour it into the bottle. He can never remove milk from the bottle or pour milk anywhere except into the bottle. With a one-quart pail, FJ would need only one pail to create any number of quarts in a bottle. Other pail combinations are not so convenient.
Determine the optimally small number of pails to purchase, given the guarantee that at least one solution is possible for all contest input data.
PROGRAM NAME: milk4
INPUT FORMAT
Line 1: | The single integer Q |
Line 2: | A single integer P (1 <= P <= 100) which is the number of pails in the store |
Lines 3..P+2: | Each line contains a single integer pail_value (1 <= pail_value <= 10000), the number of quarts a pail holds |
SAMPLE INPUT (file milk4.in)
16 3 3 5 7
OUTPUT FORMAT
The output is a single line of space separated integers that contains:
- the minimum number of pails required to measure out the desired number of quarts, followed by:
- a sorted list (from smallest to largest) of the capacity of each of the required pails
SAMPLE OUTPUT (file milk4.out)
2 3 5
USACO Section 5.3 Milk Measuring (IDDFS+dp)的更多相关文章
- USACO 5.3 Milk Measuring
Milk MeasuringHal Burch Farmer John must measure Q (1 <= Q <= 20,000) quarts of his finest mil ...
- USACO Section 5.3 Big Barn(dp)
USACO前面好像有类似的题目..dp(i,j)=min(dp(i+1,j),dp(i+1,j+1),dp(i,j+1))+1 (坐标(i,j)处无tree;有tree自然dp(i,j)=0) .d ...
- 洛谷 P2744 [USACO5.3]量取牛奶Milk Measuring
P2744 [USACO5.3]量取牛奶Milk Measuring 题目描述 农夫约翰要量取 Q(1 <= Q <= 20,000)夸脱(夸脱,quarts,容积单位——译者注) 他的最 ...
- luogu P2744 [USACO5.3]量取牛奶Milk Measuring
题目描述 农夫约翰要量取 Q(1 <= Q <= 20,000)夸脱(夸脱,quarts,容积单位——译者注) 他的最好的牛奶,并把它装入一个大瓶子中卖出.消费者要多少,他就给多少,从不有 ...
- [USACO Section 5.3]量取牛奶 Milk Measuring (动态规划,背包$dp$)
题目链接 Solution 完全背包 \(dp\) , 同时再加一个数组 \(v[i][j]\) 记录当总和为\(j\) 时第 \(i\) 种物品是否被选. 为保证从小到大和字典序,先将瓶子按大小排序 ...
- USACO Section 1.3 Mixing Milk 解题报告
题目 题目描述 Merry Milk Makers 公司的业务是销售牛奶.它从农夫那里收购N单位的牛奶,然后销售出去.现在有M个农夫,每个农夫都存有一定量的牛奶,而且每个农夫都会有自己的定价.假设所有 ...
- USACO Section 1.4 Mother's Milk 解题报告
题目 题目描述 有三个牛奶桶,三个桶的容积分别是A,B,C,最小为1,最大为20.刚开始只有第三个桶里面装满了牛奶,其余两个桶都是空的.我们现在可以将第三个桶中的牛奶往其他两个桶里面倒一些牛奶,然后还 ...
- [USACO5.3]量取牛奶Milk Measuring
https://daniu.luogu.org/problemnew/show/P2744 滚动数组压去第一维:前i种木桶 f[j] 量取体积j最少需要几种木桶 g[j] 体积j的最优解是否使用了第 ...
- 【USACO 2.3】Money Systems(dp)
v种货币,求有多少种组成和为n. dp[i][j]表示前i种货币价格为j有多少种方案,dp[i][j]+=dp[i-1][j-c]. http://train.usaco.org/usacoprob2 ...
随机推荐
- VC2008如何生成及使用DLL(完整版)
生成.使用DLL看起来简单,但做起来才发现还是有一些地方需要注意的. 1. 打开VS2008,新建一个VC工程,选择Win32类型,Win32项目: 2. 应用程序类型选择DLL,附加选项选择到处符号 ...
- 截取字符串一之substring
<!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8&quo ...
- python之lambda表达式
lambda函数小结 1.lambda表达式: 以前看人家写一个长式子就能干一件我写一个函数干的事情觉得好帅,现在通过学习知道了lambda表达式其原理就是一个函数,而且是一个只能处理简单功能的函数. ...
- 教你爱上Blocks(闭包)
传值 Blocks是C语言的扩充功能:带有自动变量(局部变量)的匿名函数.通过Blocks,源代码中就能使用匿名函数,即不带名称的函数.在我们 的工作中,命名占据了很大一部分,函数名,变量名,属性名, ...
- ASP.NET listBbox控件用法
ListBox基本功能使用方法 2011-06-09 13:23:16| 分类: .NET/C# | 标签:listbox基本功能使用方法 |举报 |字号大中小 订阅 ListBox基 ...
- Html分组标签
<fieldset> <legend>权限种类</legend></fieldset>
- GridView.GridLines 属性
GridLines.None 不显示网格线. GridLines.Horizontal 仅显示水平网格线. GridLines.Vertical 仅显示垂直网格线. GridLines.Both 同时 ...
- This project references NuGet package(s) that are missing on this computer.
Install Nuget. Right click on the solution and select "Enable NuGet Package Restore". Clic ...
- Deep Learning(深度学习)学习笔记整理系列之(八)
Deep Learning(深度学习)学习笔记整理系列 zouxy09@qq.com http://blog.csdn.net/zouxy09 作者:Zouxy version 1.0 2013-04 ...
- oracle 导入txt
没有Oraclehoume的情况下,执行下环境变量文件 sqlldr userid= DM/DM control = /home/oracle/libc/load.ctl load data infi ...