It is said that in 2013, there were about 100 graduate schools ready to proceed over 40,000 applications in Zhejiang Province.  It would help a lot if you could write a program to automate the admission procedure.

Each applicant will have to provide two grades: the national entrance exam grade G_E, and the interview grade G_I.  The final grade of an applicant is (G_E + G_I) / 2.  The admission rules are:

• The applicants are ranked according to their final grades, and will be admitted one by one from the top of the rank list.
• If there is a tied final grade, the applicants will be ranked according to their national entrance exam grade G_E.  If still tied, their ranks must be the same.
• Each applicant may have K choices and the admission will be done according to his/her choices: if according to the rank list, it is one's turn to be admitted; and if the quota of one's most preferred shcool is not exceeded, then one will be admitted to this school, or one's other choices will be considered one by one in order. If one gets rejected by all of preferred schools, then this unfortunate applicant will be rejected.
• If there is a tied rank, and if the corresponding applicants are applying to the same school, then that school must admit all the applicants with the same rank, even if its quota will be exceeded.

Input Specification:

Each input file contains one test case.  Each case starts with a line containing three positive integers: N (<=40,000), the total number of applicants; M (<=100), the total number of graduate schools; and K (<=5), the number of choices an applicant may have.

In the next line, separated by a space, there are M positive integers.  The i-th integer is the quota of the i-th graduate school respectively.

Then N lines follow, each contains 2+K integers separated by a space.  The first 2 integers are the applicant's G_E and G_I, respectively.  The next K integers represent the preferred schools.  For the sake of simplicity, we assume that the schools are numbered from 0 to M-1, and the applicants are numbered from 0 to N-1.

Output Specification:

For each test case you should output the admission results for all the graduate schools.  The results of each school must occupy a line, which contains the applicants' numbers that school admits.  The numbers must be in increasing order and be separated by a space.  There must be no extra space at the end of each line.  If no applicant is admitted by a school, you must output an empty line correspondingly.

Sample Input:

11 6 3

2 1 2 2 2 3

100 100 0 1 2

60 60 2 3 5

100 90 0 3 4

90 100 1 2 0

90 90 5 1 3

80 90 1 0 2

80 80 0 1 2

80 80 0 1 2

80 70 1 3 2

70 80 1 2 3

100 100 0 2 4

Sample Output:

0 10

3

5 6 7

2 8

1 4

// 1080pat.cpp : 定义控制台应用程序的入口点。

//

#include <iostream>

#include <vector>

#include <algorithm>

#include <functional>

using namespace std;

const int schools=;   //最多的研究生院个数

vector<int> quota;       //每个研究生院的限额

struct App

{

    int num;  //申请人编号，从0开始

    int GE;

    int GI;

    int Final;

    int rank;  //申请人的排名

    int choices[];

    bool operator <(const App& rhs) const

    {

        if(Final==rhs.Final)

        {

            return GE>rhs.GE;

        }

        else

            return Final>rhs.Final;

    }

};

class T:public unary_function<App,bool>  //for_each处理，得到每个申请人的相对排名

{

public:

    T(App& aa):app(aa){}

    bool operator()(App& a)

    {

        if(a.Final<app.Final)

        {

            a.rank=app.rank+;

        }

        else

        {

            if(a.GE<app.GE)

            {

                a.rank=app.rank+;

            }

            else

                a.rank=app.rank;

        }

        app=a;

        return true;

    }

private:

    App app;

};

vector<App> applicants;   //所有的申请人

vector<int> res[schools];  //每个研究生院录取的申请人编号

int sranks[schools];       //每个研究生院录取的申请人的当前最新排名，用来处理case4

int main()

{

    int N,M,K;  //数据输入

    cin>>N>>M>>K;

    int qbuf;

    int i;

    for(i=;i<M;++i)

    {

        cin>>qbuf;

        quota.push_back(qbuf);

    }

    for(i=;i<N;++i)

    {

        App Abuf;  //每次定义一个,如果定义到外面的话，在App中要重载operator=

        cin>>Abuf.GE>>Abuf.GI;

        Abuf.Final=(Abuf.GE+Abuf.GI)>>;

        for(int j=;j<K;++j)

        {

            cin>>Abuf.choices[j];

        }

        Abuf.num=i;

        applicants.push_back(Abuf);

    }

    sort(applicants.begin(),applicants.end());  //排序

    applicants[].rank=;

    for_each(applicants.begin(),applicants.end(),T(applicants[]));  //得到相对排名

    for(vector<App>::iterator iter=applicants.begin();iter!=applicants.end();++iter)

    {

        for(int j=;j<K;++j)

        {

            //每个申请人的申请的第j个研究生院还有名额，或者跟之前录取的有相同的排名

            if(quota[iter->choices[j]]>||sranks[iter->choices[j]]==iter->rank)

            {

                --quota[iter->choices[j]]; //研究生院的名额减少一个

                res[iter->choices[j]].push_back(iter->num);//将录取的申请人添加到对应的研究生院

                sranks[iter->choices[j]]=iter->rank; //更新对应研究生院的最新录取申请人的排名

                break;

            }

        }

    }

    for(i=;i<M;++i)

    {

        int size=res[i].size();

        if(==size)

            cout<<endl;

        else

        {

            sort(res[i].begin(),res[i].end());

            for(int j=;j<size;++j)

            {

                if(!=j)

                    cout<<" ";

                cout<<res[i][j];

            }

            cout<<endl;

        }

    }

    return ;

}

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