CF68B.Energy exchange

It is well known that the planet suffers from the energy crisis. Little Petya doesn't like that and wants to save the world. For this purpose he needs every accumulator to contain the same amount of energy. Initially every accumulator has some amount of energy: the i-th accumulator has a__i units of energy. Energy can be transferred from one accumulator to the other. Every time x units of energy are transferred (x is not necessarily an integer) k percent of it is lost. That is, if x units were transferred from one accumulator to the other, amount of energy in the first one decreased by x units and in other increased by units.

Your task is to help Petya find what maximum equal amount of energy can be stored in each accumulator after the transfers.

众所周知，地球正面临能源危机。小佩佳对此深感不满，希望拯救世界。为此，他需要让每个蓄电池储存相同数量的能源。最初，每个蓄电池都储存有一定量的能源：第 $i$ 个蓄电池含有 $a_i$ 单位能源。能源可以在蓄电池之间转移。每次转移 $x$ 单位能源（$x$ 不必为整数）时，会有 $k$% 的能量损耗。也就是说，若从一个蓄电池向另一个蓄电池转移 $x$ 单位能源，则前者的能源减少 $x$ 单位，而后者的能源增加 单位。

你的任务是帮助佩佳找出：经过若干次转移后，每个蓄电池所能储存的最大相等能源量是多少。

First line of the input contains two integers n and k (1 ≤ n ≤ 10000, 0 ≤ k ≤ 99) — number of accumulators and the percent of energy that is lost during transfers.

Next line contains n integers _a_1, _a_2, ... , a__n — amounts of energy in the first, second, .., n-th accumulator respectively (0 ≤ a__i ≤ 1000, 1 ≤ i ≤ n).

输入的第一行包含两个整数 $n$ 和 $k$（$1 ≤ n ≤ 10000$，$0 ≤ k ≤ 99$）—— 分别表示蓄能器的数量以及能量在传输过程中损失的百分比。

第二行包含 $n$ 个整数 $a_1, a_2, \ldots, a_n$ —— 分别表示第 $1$、第 $2$、……、第 $n$ 个蓄能器中的能量值（$0 ≤ a_i ≤ 1000$，$1 ≤ i ≤ n$）。

Output maximum possible amount of energy that can remain in each of accumulators after the transfers of energy.

The absolute or relative error in the answer should not exceed 10 - 6.

输出能量转移后每个蓄电池中可能剩余的最大能量值。

答案的绝对或相对误差不应超过 $10^{-6}$。