The first line in each test case has two integers, K (1<=K<=5) and N (1<=N<=1000). K is the number of reviews that each paper will receive, while N is the number of papers to be reviewed. The conference only accepts papers with a single author, and authors can only present a single paper at the conference.
Each of the next N lines describes an author and includes the name of the institution to which the author belongs, followed by the list of the K papers he or she has been requested to review. It is assumed that researchers from the same institution collaborate with each other, where as researchers from different institutions don't. All institution names are shorter than 10 characters, and contain only upper or lowercase letters and no whitespace. Since we have as many papers as authors, papers are identied by their author's index; paper 1 was written by the first author in the list, and paper N was written by the last author.
The end of the test cases is marked with a line containing K = 0 and N = 0. You should generate no output for this line.