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**Task** | Statistics

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

A fence consists of $n$ vertical boards. The width of each board is 1 and their heights may vary.

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

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.

Print one integer: the maximum area of an advertisement.

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

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

Input:

`8`

4 1 5 3 3 2 4 1

Output:

`10`