Design rule checking

TASK: Design rule check.

Check this wire list against exactly these five rules. Report every (rule, wire) pair that fails.
- UNKNOWN_CONNECTOR: an end names a connector that is not in the connector list. (Skip the other checks for that end.)
- PIN_RANGE: an end names a pin below 1 or above that connector’s pin count. (Skip GAUGE_RANGE and CAVITY_SHARED for that end.)
- SELF_LOOP: both ends of one wire are the same connector and pin.
- CAVITY_SHARED: two or more DIFFERENT wires land on the same connector pin. Report every wire involved. A self-loop wire alone does not count as shared.
- GAUGE_RANGE: the wire gauge is outside the connector’s gaugeRange [min, max] (inclusive) at either end.
A wire that breaks the same rule at both ends is reported once for that rule.

Connectors:
[
  {"id":"J1","pins":16,"gaugeRange":[18,24]},
  {"id":"J2","pins":24,"gaugeRange":[20,26]},
  {"id":"J3","pins":22,"gaugeRange":[20,26]},
  {"id":"J4","pins":11,"gaugeRange":[14,20]}
]

Wires:
[
  {"id":"W1","from":{"connector":"J2","pin":5},"to":{"connector":"J3","pin":16},"gauge":24},
  {"id":"W2","from":{"connector":"J3","pin":5},"to":{"connector":"J3","pin":5},"gauge":20},
  {"id":"W3","from":{"connector":"J1","pin":3},"to":{"connector":"J2","pin":13},"gauge":16},
  {"id":"W4","from":{"connector":"J2","pin":12},"to":{"connector":"J4","pin":10},"gauge":20},
  {"id":"W5","from":{"connector":"J3","pin":12},"to":{"connector":"J1","pin":16},"gauge":22},
  {"id":"W6","from":{"connector":"J4","pin":8},"to":{"connector":"J3","pin":4},"gauge":12},
  {"id":"W7","from":{"connector":"J4","pin":11},"to":{"connector":"J2","pin":8},"gauge":20},
  {"id":"W8","from":{"connector":"J3","pin":18},"to":{"connector":"J4","pin":7},"gauge":20},
  {"id":"W9","from":{"connector":"J3","pin":20},"to":{"connector":"J2","pin":16},"gauge":20},
  {"id":"W10","from":{"connector":"J3","pin":15},"to":{"connector":"J1","pin":6},"gauge":24},
  {"id":"W11","from":{"connector":"J3","pin":1},"to":{"connector":"J2","pin":22},"gauge":20},
  {"id":"W12","from":{"connector":"J2","pin":2},"to":{"connector":"J1","pin":9},"gauge":20},
  {"id":"W13","from":{"connector":"J1","pin":13},"to":{"connector":"J2","pin":1},"gauge":20},
  {"id":"W14","from":{"connector":"J1","pin":8},"to":{"connector":"J3","pin":22},"gauge":16}
]

Output format (JSON, exactly these keys):
```json
{
 "violations": [
  {
   "rule": "PIN_RANGE",
   "wire": "W12"
  }
 ]
}
```
An empty list is a valid answer if the design is clean.