Dropping tests--计算方法,01分数规划

Dropping tests
Time Limit: 1000MS   Memory Limit: 65536K
Total Submissions: 10257   Accepted: 3578

Description

In a certain course, you take n tests. If you get ai out of bi questions correct on test i, your cumulative average is defined to be

.

Given your test scores and a positive integer k, determine how high you can make your cumulative average if you are allowed to drop any k of your test scores.

Suppose you take 3 tests with scores of 5/5, 0/1, and 2/6. Without dropping any tests, your cumulative average is . However, if you drop the third test, your cumulative average becomes .

Input

The input test file will contain multiple test cases, each containing exactly three lines. The first line contains two integers, 1 ≤ n ≤ 1000 and 0 ≤ k < n. The second line contains n integers indicating ai for all i. The third line contains npositive integers indicating bi for all i. It is guaranteed that 0 ≤ ai ≤ bi ≤ 1, 000, 000, 000. The end-of-file is marked by a test case with n = k = 0 and should not be processed.

Output

For each test case, write a single line with the highest cumulative average possible after dropping k of the given test scores. The average should be rounded to the nearest integer.

Sample Input

3 1
5 0 2
5 1 6
4 2
1 2 7 9
5 6 7 9
0 0

Sample Output

83
100

Hint

To avoid ambiguities due to rounding errors, the judge tests have been constructed so that all answers are at least 0.001 away from a decision boundary (i.e., you can assume that the average is never 83.4997).


题目链接:http://poj.org/problem?id=2976


作为poj为数不多的好理解题意的题,题意很好理解,给了你一个式子,让你求他的最大,我就直接排了一下序,好吧,错了,我感觉不对,要考虑每一个数的贡献,但是一直不会考虑,以为排一下序就可以了,但是很明显,wa。网上查了一下,01分数规划经典题,好吧,继续扩充自己的知识面。


放上大牛的链接,本想自己写写题解,但是怎么写都觉的没有大牛好,那就直接把大牛的链接放这

http://www.cnblogs.com/perseawe/archive/2012/05/03/01fsgh.html

讲的很好


代码:

#include 
#include 
#include 
#include 
#define inf 0x3f3f3f3f
#define eps 1e-7
using namespace std;
double a[2000];
double b[2000];
double t[2000];
int n,m;
double fax(double L){
    for(int i=0;ieps){
            mid=(l+r)/2;
            if(fax(mid)>0)
                l=mid;
            else
                r=mid;
        }
        printf("%1.f\n",l*100);
    }
    return 0;
}


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