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A. Best Subsegment

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou are given array $$$a_1, a_2, \dots, a_n$$$. Find the subsegment $$$a_l, a_{l+1}, \dots, a_r$$$ ($$$1 \le l \le r \le n$$$) with maximum arithmetic mean $$$\frac{1}{r - l + 1}\sum\limits_{i=l}^{r}{a_i}$$$ (in floating-point numbers, i.e. without any rounding).

If there are many such subsegments find the longest one.

Input

The first line contains single integer $$$n$$$ ($$$1 \le n \le 10^5$$$) — length of the array $$$a$$$.

The second line contains $$$n$$$ integers $$$a_1, a_2, \dots, a_n$$$ ($$$0 \le a_i \le 10^9$$$) — the array $$$a$$$.

Output

Print the single integer — the length of the longest subsegment with maximum possible arithmetic mean.

Example

Input

5 6 1 6 6 0

Output

2

Note

The subsegment $$$[3, 4]$$$ is the longest among all subsegments with maximum arithmetic mean.

Codeforces (c) Copyright 2010-2019 Mike Mirzayanov

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