CF730J Bottles

有 $n$ 瓶水，第 $i$ 瓶水的水量为 $a_i$，容量为 $b_i$。将 $1$ 单位水从一个瓶子转移到另一个瓶子所消耗时间为 $1$ 秒，且可以进行无限次转移。求储存所有水所需最小瓶子数 $k$ 以及该情况下所用最小时间 $t$。

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In the first example Nick can pour soda from the first bottle to the second bottle. It will take 3 seconds. After it the second bottle will contain $ 3+3=6 $ units of soda. Then he can pour soda from the fourth bottle to the second bottle and to the third bottle: one unit to the second and two units to the third. It will take $ 1+2=3 $ seconds. So, all the soda will be in two bottles and he will spend $ 3+3=6 $ seconds to do it.