= Partner Units =

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== Problem description ==

Partner unit problem describes a people counting system. 

The problem includes three types of components, namely a door sensor, a zone and a communication unit. The problem requirements are:

 1. Each zone as well as each door sensor must be connected to exactly one unit;
 2. Each unit can control at most two door sensors and at most two zones;
 3. If a unit controls a door sensor that contributes to a zone controlled by another unit, then the two units must be connected directly, i.e. one unit becomes a partner unit of the other and vice versa;
 4. Each unit can have at most maxPU partner units which is constant for each problem instance.

The solution of the partner unit problem is defined as follows:

 * Given a consistent configuration of door sensors and zones, a number of available units lower and a constant maxPU, find a valid assignment of units that satisfies all requirements.

== Input format ==

== Output format ==

== Example ==

== Author(s) ==
 * Anna Ryabokon 	
   * Alpen-Adria University, Austria
 * Andreas Falkner 
   * Siemens AG 	 
 * Gerhard Friedrich 	
   * Alpen-Adria University, Austria