poj 1017装箱问题(贪心)
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Packets
Time Limit: 1000MS
Memory Limit: 10000KTotal Submissions: 56666
Accepted: 19279
Memory Limit: 10000KTotal Submissions: 56666
Accepted: 19279
Description
A factory produces products packed in square packets of the same height h and of the sizes 1*1, 2*2, 3*3, 4*4, 5*5, 6*6. These products are always delivered to customers in the square parcels of the same height h as the products have and of the size 6*6. Because of the expenses it is the interest of the factory as well as of the customer to minimize the number of parcels necessary to deliver the ordered products from the factory to the customer. A good program solving the problem of finding the minimal number of parcels necessary to deliver the given products according to an order would save a lot of money. You are asked to make such a program.
Input
The input file consists of several lines specifying orders. Each line specifies one order. Orders are described by six integers separated by one space representing successively the number of packets of individual size from the smallest size 1*1 to the biggest size 6*6. The end of the input file is indicated by the line containing six zeros.
Output
The output file contains one line for each line in the input file. This line contains the minimal number of parcels into which the order from the corresponding line of the input file can be packed. There is no line in the output file corresponding to the last ``null'' line of the input file.
Sample Input
0 0 4 0 0 1 7 5 1 0 0 0 0 0 0 0 0 0
Sample Output
2 1
Source
Central Europe 1996
解题思路:有一些高度都相同为h的箱子,现在有1*1,2*2,3*3,4*4,5*5,6*6的大小,然后把他们都装在6*6*h大小的箱子中。输出最少需要多少个箱子。首先我们要知道对于6*6的箱子,一次只能装一个,而且没有空余位置。对于5*5的一次也只能装一个,但是会空出11个1*1的位置出来。4*4的箱子也是一次只能装一个,会空出来5个2*2的位置来。而对于3*3的箱子,一次能最多装4个。
//from:poj 1017//time:2017.11.5#include <stdio.h>int main(){int a,b,c,d,e,f;int sum,x,y;int u[4]={0,5,3,1};//表示在装了3*3的箱子之后还能装多少个2*2的箱子while(scanf("%d%d%d%d%d%d",&a,&b,&c,&d,&e,&f)!=EOF){if(a==0&&b==0&&c==0&&d==0&&e==0&&f==0)break;sum=f+e+d+(c+3)/4;//这些是必须要单独装一个箱子里的。 x=5*d+u[c%4];//这里表示的是前面必须单独一个箱子之后,空余位置可以装x个2*2的箱子 if(b>x) sum+=(b-x+8)/9;//如果空余的位置不够用的话就需要重新装一个箱子y=36*sum-36*f-25*e-16*d-9*c-4*b; if(a>y)sum+=(a-y+35)/36;//前面所有箱子装完之后能空出的1*1的位置y printf("%d\n",sum);}return 0;}
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