题目1002：Grading

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本文深入探讨了大规模研究生入学考试评分过程的挑战与解决方案，通过引入三名独立专家评估每道试题，确保评分结果的公平性和一致性。详细阐述了评分规则，包括两专家初步评分、第三专家介入、最终判决等步骤，并通过实例展示了评分计算流程。

题目描述：

    Grading hundreds of thousands of Graduate Entrance Exams is a hard work. It is even harder to design a process to make the results as fair as possible. One way is to assign each exam problem to 3 independent experts. If they do not agree to each other, a judge is invited to make the final decision. Now you are asked to write a program to help this process.
    For each problem, there is a full-mark P and a tolerance T(<P) given. The grading rules are:
    • A problem will first be assigned to 2 experts, to obtain G1 and G2. If the difference is within the tolerance, that is, if |G1 - G2| ≤ T, this problem's grade will be the average of G1 and G2.
    • If the difference exceeds T, the 3rd expert will give G3.
    • If G3 is within the tolerance with either G1 or G2, but NOT both, then this problem's grade will be the average of G3 and the closest grade.
    • If G3 is within the tolerance with both G1 and G2, then this problem's grade will be the maximum of the three grades.
    • If G3 is within the tolerance with neither G1 nor G2, a judge will give the final grade GJ.

输入：

Each input file may contain more than one test case.
Each case occupies a line containing six positive integers: P, T, G1, G2, G3, and GJ, as described in the problem. It is guaranteed that all the grades are valid, that is, in the interval [0, P].

输出：

For each test case you should output the final grade of the problem in a line. The answer must be accurate to 1 decimal place.

样例输入：

20 2 15 13 10 18

样例输出：

14.0

代码

#include <iostream>
#include <stdio.h>
//#include <cmath>
#include <cstdlib>

using namespace std;

int main()
{
    int P,T,G1,G2,G3,GJ;
    float GF;
    while(scanf("%d %d %d %d %d %d",&P,&T,&G1,&G2,&G3,&GJ)!=EOF)
    {
        //cout << P << " "<<T<< " "<<G1<< " "<<G2<< " "<<G3<< " "<<GJ << endl;
        if(abs(G1-G2) <= T)
        {
            GF = (float)(G1*1.0 + G2*1.0) /2;
            printf("%.1lf\n",GF);
        } else if(abs(G3-G2) <= T && abs(G3-G1) <= T)
        {
            float temp;
            if(G1 > G2)
            {
                temp = G1;
                if(G1 < G3)
                    temp = G3;
            } else
            {
                temp = G2;
                if(G2 < G3)
                    temp = G3;
            }
           printf("%.1lf\n",temp);
        } else if(abs(G3-G2) <= T || abs(G3-G1) <= T)
        {
            if(abs(G3-G2) <= T)
            {
                GF = (float)(G3 + G2)/2;
                printf("%.1lf\n",GF);
            }
            if(abs(G3-G1) <= T)
            {
                GF = (float)(G3 + G1)/2;
                printf("%.1lf\n",GF);
            }
        } else
        {
            GF = (float)GJ;
            printf("%.1lf\n",GF);
        }
    }
    return 0;
}

注意：printf("%.1lf\n",GF);若GF为整数则输出零需要强制类型转换