13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T61b,

You're given an array consisting of $$$n$$$ integers. You have to perform $$$n$$$ turns.

Initially your score is $$$0$$$.

On the $$$i$$$-th turn, you are allowed to leave the array as it is or swap any one pair of $$$2$$$ adjacent elements in the array and change exactly one of them to $$$0$$$(and leave the value of other element unchanged) after swapping. In either case(whether you swap or not), after this you add $$$a_i$$$ to your score.

What's the maximum possible score you can get?

Input

The first line contains a single integer $$$n$$$ ($$$2 \le n \le 500$$$).

The second line contains $$$n$$$ integers $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \le a_i \le 10^6$$$).

Output

Print a single integer — the maximum possible score.

Note

In the first example, to get the maximum score we do as follows. Do nothing on the first turn, add

Swap and Take

Examples