multivalue fields logic required

[Jonty Rhods]

Hi,

recently I start to work on solr, So I am still very new to use solr. Sorry
if I am logically wrong.
I have two table, parent and referenced (child).

for that I set multivalue field following is my schema details
 <field name="id" type="string" indexed="true" stored="true" required="true"
/>


   <field name="name" type="text" indexed="true" stored="true"/>

   <field name="dept" type="text" indexed="true" stored="true"
multiValued="true"/>
   <field name="city" type="text" indexed="true" stored="true"
multiValued="true"/>

indexed data details:

<doc>

  <arr name="dept">
    <str>student1</str>
    <str>student2</str>
    <str>student3</str>
  </arr>

  <arr name="city">
    <str>city1</str>
    <str>city2</str>
    <str>city3</str>
  </arr>
 <str name="id">1</str>

 <arr name="name">
   <str>name of emp</str>
  </arr>

</doc>

now my question is :
When user is searching by city2 then I want to return employee2 and their id
(for multi value field).
something like:

<doc>

  <arr name="dept">

    <str>student2</str>

  </arr>

  <arr name="city">

    <str>city2</str>

  </arr>
 <str name="id">1</str>

 <arr name="name">
   <str>name of emp</str>
  </arr>

</doc>

please suggest..