JOLT Spec for supporting the input json

[#1]

Actually I need to filter the id exist data and non existing data to separate user defined array list. can someone help me with Jolt Specification. someone please help me with the jolt specification to achieve the below results.

Input:
          
{
    "data": [
        {
            "name": "a",
            "id": "100"
        },
        {
            "name": "b",
            "id": "101"
        },
        {
            "name": "c"
        }
    ]
}
            
Output:
            
 

  
        {
    "IdExists": [
        {
            "name": "a",
            "id": "100"
        },
        {
            "name": "b"
        }
    ],
    "IdNotExists": [
        {
            "name": "c"
        }
    ]
}
        

jolt

[#2]

jolt specification :

[{
"operation": "shift",
"spec": {
"@": "&",
"data": {
"*": {
"id": {
"@(1)": "idexist.[]"
}}}}}]

output : 

{
"root" : {
"data" : [ {
"name" : "a",
"id" : "100"
}, {
"name" : "b",
"id" : "101"
}, {
"name" : "c"
} ]
},
"idexist" : [ {
"name" : "a",
"id" : "100"
}, {
"name" : "b",
"id" : "101"
} ]
}