No submission language available for this problem.

Description

Input

The first line contains a single integer $n$ ($1 \leq n \leq 2 \cdot 10^5$).

The second line contains $n$ integers $a_1, \ldots, a_n$ ($0 \leq a_i < 2^{20}$).

Output

Print a single integer — the largest possible sum of squares that can be achieved after several (possibly zero) operations.

Samples

1
123

15129

3
1 3 5

51

2
349525 699050

1099509530625

Note

In the first sample no operation can be made, thus the answer is $123^2$.

In the second sample we can obtain the collection $1, 1, 7$, and $1^2 + 1^2 + 7^2 = 51$.

If $x$ and $y$ are represented in binary with equal number of bits (possibly with leading zeros), then each bit of $x~\mathsf{AND}~y$ is set to $1$ if and only if both corresponding bits of $x$ and $y$ are set to $1$. Similarly, each bit of $x~\mathsf{OR}~y$ is set to $1$ if and only if at least one of the corresponding bits of $x$ and $y$ are set to $1$. For example, $x = 3$ and $y = 5$ are represented as $011_2$ and $101_2$ (highest bit first). Then, $x~\mathsf{AND}~y = 001_2 = 1$, and $x~\mathsf{OR}~y = 111_2 = 7$.