HDOJ 4968 Improving the GPA

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Improving the GPA

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 158 Accepted Submission(s): 126


Problem Description Xueba: Using the 4-Point Scale, my GPA is 4.0.

In fact, the AVERAGE SCORE of Xueba is calculated by the following formula:
AVERAGE SCORE = ∑(Wi * SCOREi) / ∑(Wi) 1<=i<=N
where SCOREi represents the scores of the ith course and Wi represents the credit of the corresponding course.

To simplify the problem, we assume that the credit of each course is 1. In this way, the AVERAGE SCORE is ∑(SCOREi) / N. In addition, SCOREi are all integers between 60 and 100, and we guarantee that ∑(SCOREi) can be divided by N.

In SYSU, the university usually uses the AVERAGE SCORE as the standard to represent the students’ level. However, when the students want to study further in foreign countries, other universities will use the 4-Point Scale to represent the students’ level. There are 2 ways of transforming each score to 4-Point Scale. Here is one of them.


The student喎?http://www.Bkjia.com/kf/ware/vc/" target="_blank" class="keylink">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"brush:java;">4 75 1 75 2 75 3 75 10
Sample Output

3.0000 3.0000
2.7500 3.0000
2.6667 3.1667
2.4000 3.2000

HintIn the third case, there are many possible ways to calculate the minimum value of the GPA in the 4-Point Scale.
For example, 
Scores 78 74 73 GPA = (3.0 + 2.5 + 2.5) / 3 = 2.6667
Scores 79 78 68 GPA = (3.0 + 3.0 + 2.0) / 3 = 2.6667
Scores 84 74 67 GPA = (3.5 + 2.5 + 2.0) / 3 = 2.6667
Scores 100 64 61 GPA = (4.0 + 2.0 + 2.0) / 3 = 2.6667 

Source 2014 Multi-University Training Contest 9

#include 
#include 
#include 
#include 

using namespace std;

int level[6][2]={{100,85},{84,80},{79,75},{74,70},{69,60},{59,0}};

int main()
{
    int T_T;
    scanf("%d",&T_T);
    while(T_T--)
    {
        int f,n;
        double mi=20.,mx=-20.;
        scanf("%d%d",&f,&n);
        for(int l1=0;l1<=n;l1++)
        {
            int res1=n-l1;
            for(int l2=0;l2<=res1;l2++)
            {
                int res2=n-l1-l2;
                for(int l3=0;l3<=res2;l3++)
                {
                    int res3=n-l1-l2-l3;
                    for(int l4=0;l4<=res3;l4++)
                    {
                        int l5=res3-l4;
                        int minsorce=level[0][1]*l1+level[1][1]*l2+level[2][1]*l3+
                        level[3][1]*l4+level[4][1]*l5;
                        int maxsorce=level[0][0]*l1+level[1][0]*l2+level[2][0]*l3+
                        level[3][0]*l4+level[4][0]*l5;
                        if(f*n<=maxsorce&&f*n>=minsorce)
                        {
                            mi=min(mi,(4.*l1+3.5*l2+3.*l3+2.5*l4+2.*l5)/n);
                            mx=max(mx,(4.*l1+3.5*l2+3.*l3+2.5*l4+2.*l5)/n);
                        }
                    }
                }
            }
        }
        printf("%.4lf %.4lf\n",mi,mx);
    }
    return 0;
}