Wire lengths and cut list

TASK: Wire lengths and cut list.

Each wire runs along the unique path through the harness tree between its two end nodes.
Cut length for a wire:
1. Path length = sum of lengthMm of every branch on the path.
2. Add the termination allowance for each end, by end type: {"connector":20,"splice":12,"ring":35} (mm).
3. Multiply by 1.03 (process slack).
4. Round UP to the next multiple of 5 mm (a value already on a multiple of 5 stays).
Then total the cut lengths per gauge.

Branches:
[
  {"id":"B1","a":"N1","b":"N2","lengthMm":610},
  {"id":"B2","a":"N2","b":"N3","lengthMm":330},
  {"id":"B3","a":"N2","b":"N4","lengthMm":350},
  {"id":"B4","a":"N4","b":"N5","lengthMm":1090},
  {"id":"B5","a":"N5","b":"N6","lengthMm":360}
]

Wires:
[
  {"id":"W1","from":"N3","to":"N1","fromEnd":"connector","toEnd":"connector","gauge":20,"color":"BK"},
  {"id":"W2","from":"N1","to":"N6","fromEnd":"splice","toEnd":"ring","gauge":18,"color":"WH"},
  {"id":"W3","from":"N3","to":"N6","fromEnd":"ring","toEnd":"ring","gauge":20,"color":"GY"},
  {"id":"W4","from":"N6","to":"N3","fromEnd":"connector","toEnd":"connector","gauge":16,"color":"BU"},
  {"id":"W5","from":"N3","to":"N6","fromEnd":"ring","toEnd":"connector","gauge":22,"color":"YE"},
  {"id":"W6","from":"N1","to":"N6","fromEnd":"connector","toEnd":"splice","gauge":22,"color":"WH"},
  {"id":"W7","from":"N1","to":"N3","fromEnd":"connector","toEnd":"connector","gauge":20,"color":"WH"},
  {"id":"W8","from":"N1","to":"N6","fromEnd":"connector","toEnd":"ring","gauge":18,"color":"BK"}
]

Output format (JSON, exactly these keys):
```json
{
 "wires": [
  {
   "id": "W1",
   "cutMm": 1235
  }
 ],
 "totalsByGauge": [
  {
   "gauge": 18,
   "totalMm": 15420
  }
 ]
}
```