Find all paths from node

[Dragonprod]

Hello.

I have graph:

CREATE (a:Item {id: '1'}), (b:Item {id: '2'}), (c:Item {id: '3'}), (d:Item {id: '4'}), (e:Item {id: '5'})

MATCH (a:Item {id: '5'}), (b:Item {id: '4'})
CREATE (a)-[r:RELATED_TO {type: 'type1'}]->(b)

MATCH (a:Item {id: '4}), (b:Item {id: '2'})
CREATE (a)-[r:RELATED_TO {type: 'type1'}]->(b)

MATCH (a:Item {id: '4'}), (b:Item {id: '3'})
CREATE (a)-[r:RELATED_TO {type: 'type1'}]->(b)

MATCH (a:Item {id: '2'}), (b:Item {id: '1'})
CREATE (a)-[r:RELATED_TO {type: 'type1'}]->(b)

MATCH (a:Item {id: '3'}), (b:Item {id: '1'})
CREATE (a)-[r:RELATED_TO {type: 'type2'}]->(b)

I want to get all paths from given node and filter them by relationship property. So, I(thx glilienfield) write this cypher:

MATCH path = (from:Item {id: '10'})-[relations:RELATED_TO*]->(to:Item)
WHERE ALL(r IN relations WHERE r.type IN ['type1', 'type2'])
WITH {
    to: to.id
    path: [i in relationships(path) | {id: endNode(i).id, type: i.type}]
} as result
RETURN COLLECT(result)

This cypher returns me all possible ways from node with id 10:

[
{
  "path": [
    {
      "id": "5",
      "type": "type1"
    }
  ],
  "to": "5"
}
, 
{
  "path": [
    {
      "id": "5",
      "type": "type1"
    },
    {
      "id": "3",
      "type": "type1"
    }
  ],
  "to": "3"
}
, 
{
  "path": [
    {
      "id": "5",
      "type": "type1"
    },
    {
      "id": "3",
      "type": "type1"
    },
    {
      "id": "1",
      "type": "type1"
    }
  ],
  "to": "1"
}
, 
{
  "path": [
    {
      "id": "5",
      "type": "type1"
    },
    {
      "id": "2",
      "type": "type1"
    }
  ],
  "to": "2"
}
, 
{
  "path": [
    {
      "id": "5",
      "type": "type1"
    },
    {
      "id": "2",
      "type": "type1"
    },
    {
      "id": "1",
      "type": "type2"
    }
  ],
  "to": "1"
}
]

How can I filter this result using neo4j and return only these paths:

[
{
  "path": [
    {
      "id": "5",
      "type": "type1"
    },
    {
      "id": "3",
      "type": "type1"
    },
    {
      "id": "1",
      "type": "type1"
    }
  ],
  "to": "1"
}
, 
{
  "path": [
    {
      "id": "5",
      "type": "type1"
    },
    {
      "id": "2",
      "type": "type1"
    },
    {
      "id": "1",
      "type": "type2"
    }
  ],
  "to": "1"
}
]

[Dragonprod · Accepted solution]

I solve my problem. The followig cypher return exatly what I need:

MATCH path = (from:Item {id: '10'})-[relations:RELATED_TO*]->(to:Item)
WHERE ALL(r IN relations WHERE r.type IN ['type1', 'type2'])
AND NOT (to)-[:RELATED_TO]->()
WITH {
    to: to.id
    path: [i in relationships(path) | {id: endNode(i).id, type: i.type}]
} as result
RETURN COLLECT(result)