Background

The Pareto principle says: in any group of things, the most important part accounts for only a small portion, while the rest, although the majority, is less important.

For example, Microsoft found that fixing only $20\%$ of the bugs can reduce $80\%$ of the downtime. Also, studies show that $80\%$ of the wealth is held by $20\%$ of the people.

Problem Description

You are given the deposits of $N$ bank customers. Find two real numbers $A, B$ such that exactly $A\%$ of the customers own exactly $B\%$ of the total deposits, and $B - A$ is maximized.

Input Format

The first line contains an integer $N$, the number of bank customers.

The next line contains $N$ integers, in order, representing each customer's deposit.

Output Format

The first line outputs the required value $A$.

The second line outputs the required value $B$.

It is guaranteed that for the maximum $B - A$, the final answer is unique.

Your output is considered correct if it differs from the answer by at most $0.01$.

2
100 200

50.0
66.66666666666666

8
100100 10 100 1000 1 10100
90100 100100

37.5
96.28172769816027

Hint

[Sample 1 Explanation]

It is easy to see that the customer with deposit $200$ owns about $66.666667\%$ of the total deposits.

[Constraints]

For $100\%$ of the testdata, $1 \le N \le 3 \times 10^5$, and all deposits are non-negative integers not exceeding $10^8$.

[Hints and Notes]

This problem is translated from COCI 2016-2017 CONTEST #5 T2 Pareto.

The score of this problem follows the original COCI setting, with a full score of $80$.

Translated by ChatGPT 5