1问题的重述某县今年夏天遭受水灾．为考查灾情组织自救，县领导决定，带领有关部门负责人到全县各乡（镇）、村巡视．巡视路线指从县政府所在地出发，走遍各乡（镇）、又回到县政府所在地的路线．现在的问题是：①若分三组（路）巡视，试设计总路程最短且各组尽可能均衡的巡视 1 Restatement of the problem The county suffered a flood this summer. To examine the disaster self-help, the county leadership decided to lead the heads of relevant departments to the townships (towns) and villages in the county. The patrol route refers to departure from the seat of the county government, traveled to various townships (towns), and returned to the county seat of the route. Now the question is: ① If the sub-three groups (road) inspection, try to design the shortest total distance and as far as possible balanced tour