说明

It is said that in 2011, there are 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 GE, and the interview grade GI. The final grade of an applicant is (GE + GI) / 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 GE. 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.

输入格式

Each input file may contain more than 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 GE and GI, 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.

输出格式

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.

样例

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

0 10
3
5 6 7
2 8

1 4

提示

这一题是解决学校录取考生的问题。只要对考生按一定的顺序排序，然后依次判断考生能否进入自己所选择的学校。

排序是按统考分数GE与面试分数GI的均分非递增进行的，如果均分相同则按统考分数GE非递减进行排序。每个学校都有一定的名额限制，如果有考生与最后一名的排名相同（均分及统考分均相同）则学校需要扩招。

解题步骤如下：

1）读取考生信息，注意记录考生均分及序号；

2）对考生进行排序；

3）对每位考生进行遍历，判断该考生是否能够被自己所选择的学校录取，如果能够录取则对相应的学校添加记录；

4）输出每个学校的信息，按考生的序号非递增输出。