A datacenter requires a robust database to manage its operations efficiently. Your task is to create an ER diagram that captures the essential components and their interrelations within the datacenter's machine management system. The database should include information on machines, tasks, administrators, and their interactions.

Machine Entity

Each machine is uniquely identified by a machine$\_$id$.$

Machines have attributes including hostname, IP$\_$address, operational$\_$status, and location. There could be more than one hostname for the machine but at least one.

Task Entity

Tasks are uniquely identified by a task$\_$id$.$

They have attributes such as description, scheduled$\_$time$($consist of begin$\_$time and end$\_$time$),$ and priority$\_$level.

A machine can have multiple tasks assigned, but each task is specific to one machine. A task must be connected to at least one machine. The date of the assignments of one task to a machine must also be recorded.

Administrator Entity

Administrators are uniquely identified by an admin$\_$id$.$

They have attributes including name, contact$\_$info, and shift$\_$time. The administrator can have $0$ or more shift$\_$time.

An administrator can be responsible for multiple machines, and machines can be overseen by multiple administrators.

Maintenance Record Entity

Maintenance activities are logged with a unique record$\_$id$.$

Each record has attributes such as service$\_$date, duration, and maintenance$\_$type.

A machine may have multiple maintenance records, but each record pertains to a single machine.

Software Entity

Software is identified by a software$\_$id$.$

Attributes include software$\_$name, version$\_$number, and license$\_$key.

Machines can have multiple software applications, and the same software can be installed on different machines. For each used software, the relation should record the date of installing the software on the corresponding machine.

Your ER diagram must reflect the following:

Define entities with their respective attributes and primary keys.

Determine and depict the relationships among entities, including their cardinality and participation constraints.

Include associative entities to capture relationships along with any descriptive attributes that may be required.