Alias

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Alias is an assumed or additional name that constitutes a distinctive designation of a person. Consider a set of n persons and assume that each person has k distinct aliases. A person is identified using any one of its k aliases. The nk (=n x k) distinct aliases are identified using integers 1, 2,...nk. Integers 1, 2,..., n represent the first aliases of all n persons in an arbitrary order. In general, integers (j1) x n +1, (j1) x n +2,..., (j1) x n +n represent the jth alias of all n persons in an arbitrary order, for j=1, 2,..., k. Persons in the set are totally ordered with respect to a quality characteristic Q associated with each person. Let Q(r) be the value of Q for a person identified by one of its alias r.
Given a sufficient number, say m, of inequalities of the type: Q(r) > Q(s), you are required to write a program to sort all persons in descending order and recognize all aliases of each person in the set.
As a simple illustration consider distinct total marks scored by three students in an examination. Each student is identified by any one of three distinct aliases in the Name: {firstname middlename lastname}. Let integers 1, 2, 3 represent the first names, 4, 5, 6 represent the middle names and 7, 8, 9 represent the last names in an arbitrary order. Let Q(r) be the total marks of student r, r being an alias. Given the following inequalities: Q(6) > Q(1), Q(9) > Q(4), Q(5) > Q(8), Q(2) > Q(9), Q(7) > Q(3), Q(9) > Q(3), one can conclude that the names of students appearing in descending order of total marks are {2 6 7}, {1 5 9} and {3 4 8}.
Input
The input may contain multiple test cases.
For each test case the first input line gives the parameters n, k and m.
The second line contains m inequalities represented by 2 x m integers. An integer r occurring in an odd numbered position in the line and the integer s occurring in the next even numbered position, represent the inequality Q(r) > Q(s).
Assume that nk is less than 100 and each integer in the second input line is of two digits, including a nonsignificant 0 when required.
The input terminates with a line containing 0 as input.
Output
For each test case print n lines giving k aliases of each person in a line; a line contains aliases in increasing order. Arrange persons in descending order of the quality characteristic Q. As in input, each integer in output is of two digits, including a nonsignificant 0 when required.
A blank line appears after the last output line of a test case.
Example
Input: 3 3 6 06 01 09 04 05 08 02 09 07 03 09 03 2 4 2 03 08 02 05 0 Output: 02 06 07 01 05 09 03 04 08 02 03 06 07 01 04 05 08
Author:  admin 
Tags  admin 
Date Added:  14102011 
Time Limit:  0.189189 sec 
Source Limit:  50000 Bytes 
Languages:  C, CPP14, JAVA, PYTH, PYTH 3.6, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, SCALA, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, TCL, PERL6, TEXT, CLOJ, FS 
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