题目描述

在一个地区的选举中，共有 $v$ 个人参加了投票，每一票只可能投给 $n$ 个政党中的一个。当地的议会共有 $m$ 个席位。不妨将 $n$ 个政党编号为 $1$ 到 $n$，并且设编号为 $i$ 的政党最终的得票为 $v_i$，则议会中的席位按如下规则分配：

1. 将得票数小于总选票的 $5\%$ 的政党剔除；
2. 初始时议会为空，每个政党都只有 $0$ 个席位；
3. 对于每个政党 $p$，计算一个参数 $q_p = v_p / (s_p + 1)$，$v_p$ 为政党 $p$ 的最终得票，$s_p$ 为政党 $p$ 当前已经在议会拥有的席位；
4. 给 $q_p$ 最大的政党分配一个席位，如果有多个政党的 $q_p$ 相同，则将席位分给其中编号最小的政党；
5. 重复 $3$ 和 $4$，直到议会已满。

由于计票还没有结束，现在我们只知道一部分选票的投票结果。给出 $v、n、m$ 以及每个政党当前的得票，请你计算每个政党最多以及最少能赢得多少个席位。

20 4 5
4 3 6 1

3 3 3 2
1 0 1 0

提示

14 votes have been tallied and 6 are yet to be counted.

To illustrate one possible outcome, suppose that the first party receives 2 of those 6 votes, the second none, the third 1 vote and the fourth 3 votes. The parties' totals are 6, 3, 7 and 4 votes.

All parties exceeded the 5% threshold. Seats are allocated as follows:

1. The quotients are initially 6/1, 3/1, 7/1 and 4/1; the largest is 7/1 so party 3 wins a seat.
2. The quotients are 6/1, 3/1, 7/2 and 4/1; the largest is 6/1 so party 1 wins a seat.
3. The quotients are 6/2, 3/1, 7/2 and 4/1; the largest is 4/1 so party 4 wins a seat.
4. The quotients are 6/2, 3/1, 7/2 and 4/2; the largest is 7/2 so party 3 wins a seat.
5. The quotients are 6/2, 3/1, 7/3 and 4/2; parties 1 and 2 are tied with quotients 6/2 and 3/1, but party 1 is lower numbered so it wins the last seat.

In this outcome, the numbers of seats won by the parties are 2, 0, 2 and 1. Since it is possible for the second party not to win any seats, the second number on the second line of output is zero.

数据规模与约定

对于 $100\%$ 的数据，$1 \le v \le 1\times 10^7、 1 \le n \le 100、 1 \le m \le 200$。