AtCoder Beginner Contest 094
D
Binomial Coefficients
AtCoder
⌀ 867
原题
← C→
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Problem Statement

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Let ${\rm comb}(n,r)$ be the number of ways to choose $r$ objects from among $n$ objects, disregarding order. From $n$ non-negative integers $a_1, a_2, ..., a_n$, select two numbers $a_i > a_j$ so that ${\rm comb}(a_i,a_j)$ is maximized. If there are multiple pairs that maximize the value, any of them is accepted.

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Constraints

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  • $2 \leq n \leq 10^5$
  • $0 \leq a_i \leq 10^9$
  • $a_1,a_2,...,a_n$ are pairwise distinct.
  • All values in input are integers.
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Input

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Input is given from Standard Input in the following format:

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n
a_1 a_2 ... a_n

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Output

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Print $a_i$ and $a_j$ that you selected, with a space in between.

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样例

Input #1
5
6 9 4 2 11
Output #1
11 6
$\rm{comb}(a_i,a_j)$ for each possible selection is as follows: - $\rm{comb}(4,2)=6$ - $\rm{comb}(6,2)=15$ - $\rm{comb}(6,4)=15$ - $\rm{comb}(9,2)=36$ - $\rm{comb}(9,4)=126$ - $\rm{comb}(9,6)=84$ - $\rm{comb}(11,2)=55$ - $\rm{comb}(11,4)=330$ - $\rm{comb}(11,6)=462$ - $\rm{comb}(11,9)=55$ Thus, we should print $11$ and $6$.
Input #2
2
100 0
Output #2
100 0
题目信息
题号
arc095_b
时间限制
2 s
内存限制
256 MB

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