After Little John borrowed expansion screws from auntie a few hundred times, eventually she decided to come and take back the unused ones.

But as they are a crucial part of home design, Little John decides to hide some in the most unreachable places — under the eco-friendly wood veneers.

You are given an integer sequence $$$a_1, a_2, \ldots, a_n$$$, and a segment $$$[l,r]$$$ ($$$1 \le l \le r \le n$$$).

You must perform the following operation on the sequence exactly once.

Choose any subsequence$$$^{\text{∗}}$$$ of the sequence $$$a$$$, and reverse it. Note that the subsequence does not have to be contiguous.

Formally, choose any number of indices $$$i_1,i_2,\ldots,i_k$$$ such that $$$1 \le i_1 \lt i_2 \lt \ldots \lt i_k \le n$$$. Then, change the $$$i_x$$$-th element to the original value of the $$$i_{k-x+1}$$$-th element simultaneously for all $$$1 \le x \le k$$$.

Find the minimum value of $$$a_l+a_{l+1}+\ldots+a_{r-1}+a_r$$$ after performing the operation.

$$$^{\text{∗}}$$$A sequence $$$b$$$ is a subsequence of a sequence $$$a$$$ if $$$b$$$ can be obtained from $$$a$$$ by the deletion of several (possibly, zero or all) element from arbitrary positions.

Input

Each test contains multiple test cases. The first line contains the number of test cases $$$t$$$ ($$$1 \le t \le 10^4$$$). The description of the test cases follows.

The first line of each test case contains three integers $$$n$$$, $$$l$$$, $$$r$$$ ($$$1 \le l \le r \le n \le 10^5$$$) — the length of $$$a$$$, and the segment $$$[l,r]$$$.

The second line of each test case contains $$$n$$$ integers $$$a_1,a_2,\ldots,a_n$$$ ($$$1 \le a_{i} \le 10^9$$$).

It is guaranteed that the sum of $$$n$$$ over all test cases does not exceed $$$10^5$$$.

Output

For each test case, output the minimum value of $$$a_l+a_{l+1}+\ldots+a_{r-1}+a_r$$$ on a separate line.

Note

On the second test case, the array is $$$a=[1,2,3]$$$ and the segment is $$$[2,3]$$$.

After choosing the subsequence $$$a_1,a_3$$$ and reversing it, the sequence becomes $$$[3,2,1]$$$. Then, the sum $$$a_2+a_3$$$ becomes $$$3$$$. It can be shown that the minimum possible value of the sum is $$$3$$$.

Subsequence Update

Examples