Help the judge

Problem code: J6

All submissions for this problem are available.

A scandal has been revealed in the ruling political party: there is a large case of corruption! You are the judge in the case, and you have a lot of evidence at your disposal. Unfortunately, some of the statements may potentially contradict the others. Each piece of evidence says something about the involvement of two (not necessary different) politicians in the crime. To be precise, each statement says: "A (is/is not) involved or B (is/is not) involved." Your job is to process all the pieces of evidence, and decide one of three options:

  • the evidence is inconsistent,
  • you can decide exactly who is involved and who isn't,
  • there is some doubt left as to who is involved.

Input

In the first line of input there is an integer t (1 t 10), representing the number of test cases. The subsequent test cases are defined as follows. In the first line of each test case there is an integer n (1 n 105) which denotes the number of politicians. Then, an integer k follows (1 k 3*105), denoting the number of pieces of evidence. The following k lines contain the evidence. The description of each statement contains 2 integers, ui,vi. If statement i says that politician A is involved, then ui = A or vi = A, whereas if statement i says politician A is not involved, then ui = -A or vi = -A. There is a blank line after each test case.

Output

For each test case, write in a separate line of the output one of the words: "CONFLICT", "UNIQUE", or "MULTIPLE", corresponding to the above described possibilities.

Example

Input:
4
1 0

1 1
1 1

1 1
1 -1

1 2
1 1
-1 -1


Output:
MULTIPLE
UNIQUE
MULTIPLE
CONFLICT
Date: 2009-10-15
Time limit: 15s
Source limit: 50000
Languages: C C99 strict C++ PAS gpc PAS fpc JAVA NICE JAR C# C#2 NEM ST ASM D FORT ADA BASH PERL PYTH RUBY LUA ICON PIKE PHP SCM guile SCM qobi LISP sbcl LISP clisp SCALA HASK ERL CAML CLPS PRLG WSPC BF ICK TEXT JS


Comments

where are the inequality

azurespace @ 18 Jan 2010 04:37 PM

where are the inequality signs? Maybe escaping :P

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