Jayway JsonPath filter expression for internal array

Question

I have a JSON file in the format below.

{  
   "queryResponse":[  
      {  
         "id":"1",
         "name":"Parent1",
         "childList":[  
            {  
               "id":"11",
               "type":"A"
            },
            {  
               "id":"12",
               "type":"B"
            }
         ]
      },
      {  
         "id":"2",
         "name":"Parent2",
         "childList":[  
            {  
               "id":"21",
               "type":"B"
            },
            {  
               "id":"22",
               "type":"C"
            }
         ]
      }
   ]
}

Using jayway JsonPath, how do I get all parent nodes that have child nodes of type "B"?

These filter expressions return an empty array:

• wild card in the index, for example $ .queryResponse [? (@. childList [*]. type == 'B')]
• deep scan operator in the filter field, for example $ .queryResponse [? (@. childList..type == 'B')]

The only filter expression that comes closest to what I need is an index with an array index for ex: $ .queryResponse [? (@. childList [0] .type == 'A')]