Description

Input

First line contains a single integer $n$ ($1 \le n \le 3 \cdot 10^5$) — the number of elements in $a$.

Second line contains $n$ space-separated integers $a_1$, $a_2$, ..., $a_n$ ($0 \le a_i \le 10^9$), where $a_i$ is the $i$-th element of $a$.

Output

Output two integers: the minimum possible number of inversions in $b$, and the minimum possible value of $x$, which achieves those number of inversions.

4
0 1 3 2

1 0

9
10 7 9 10 7 5 5 3 5

4 14

3
8 10 3

0 8

Note

In the first sample it is optimal to leave the array as it is by choosing $x = 0$.

In the second sample the selection of $x = 14$ results in $b$: $[4, 9, 7, 4, 9, 11, 11, 13, 11]$. It has $4$ inversions:

• $i = 2$, $j = 3$;
• $i = 2$, $j = 4$;
• $i = 3$, $j = 4$;
• $i = 8$, $j = 9$.

In the third sample the selection of $x = 8$ results in $b$: $[0, 2, 11]$. It has no inversions.