**Time limit:**1.00 s**Memory limit:**512 MB

You want to attach a rectangular advertisement to the fence. What is the maximum area of such an advertisement?

**Input**

The first input line contains an integer $n$: the width of the fence.

After this, there are $n$ integers $k_1,k_2,\ldots,k_n$: the height of each board.

**Output**

Print one integer: the maximum area of an advertisement.

**Constraints**

- $1 \le n \le 2 \cdot 10^5$

- $1 \le k_i \le 10^9$

**Example**

Input:

`8`

4 1 5 3 3 2 4 1

Output:

`10`