在今年的全国部分省市中学数学竞赛题中有这样一道有趣的题目:设有十个人各拿提桶一只同到水龙头前打水,设水龙头灌满第i(i=1,2,…,10)个人的提桶需时T_(i)分钟,假定这些T_(i)各不相同,问:(1)当只有一个水龙头可用时,应如何安排这十个人的次序,使他们的总的花费时间(包括各人自己接水所花 In this year’s national mathematics competition in some provinces and cities, there is such an interesting topic: There are ten people each with a bucket and one to the tap before the water, set the tap to fill the i (i = 1, 2, ... , 10) Individual buckets take T_(i) minutes, assuming these T_(i) are not the same, ask: (1) When only one tap is available, how should the order of these ten people be arranged so that their total Spend time (including everyone’s own water