CF1305G.Kuroni and Antihype

Kuroni isn't good at economics. So he decided to found a new financial pyramid called Antihype. It has the following rules:

1. You can join the pyramid for free and get $0$ coins.
2. If you are already a member of Antihype, you can invite your friend who is currently not a member of Antihype, and get a number of coins equal to your age (for each friend you invite).

$n$ people have heard about Antihype recently, the $i$ -th person's age is $a_i$ . Some of them are friends, but friendship is a weird thing now: the $i$ -th person is a friend of the $j$ -th person if and only if $a_i \text{ AND } a_j = 0$ , where $\text{AND}$ denotes the bitwise AND operation.

Nobody among the $n$ people is a member of Antihype at the moment. They want to cooperate to join and invite each other to Antihype in a way that maximizes their combined gainings. Could you help them?

The first line contains a single integer $n$ ( $1\le n \le 2\cdot 10^5$ ) — the number of people.

The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ( $0\le a_i \le 2\cdot 10^5$ ) — the ages of the people.

Output exactly one integer — the maximum possible combined gainings of all $n$ people.

Only the first and second persons are friends. The second can join Antihype and invite the first one, getting $2$ for it.