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A. XXXXX

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputEhab loves number theory, but for some reason he hates the number $$$x$$$. Given an array $$$a$$$, find the length of its longest subarray such that the sum of its elements isn't divisible by $$$x$$$, or determine that such subarray doesn't exist.

An array $$$a$$$ is a subarray of an array $$$b$$$ if $$$a$$$ can be obtained from $$$b$$$ by deletion of several (possibly, zero or all) elements from the beginning and several (possibly, zero or all) elements from the end.

Input

The first line contains an integer $$$t$$$ $$$(1 \le t \le 5)$$$ — the number of test cases you need to solve. The description of the test cases follows.

The first line of each test case contains 2 integers $$$n$$$ and $$$x$$$ ($$$1 \le n \le 10^5$$$, $$$1 \le x \le 10^4$$$) — the number of elements in the array $$$a$$$ and the number that Ehab hates.

The second line contains $$$n$$$ space-separated integers $$$a_1$$$, $$$a_2$$$, $$$\ldots$$$, $$$a_{n}$$$ ($$$0 \le a_i \le 10^4$$$) — the elements of the array $$$a$$$.

Output

For each testcase, print the length of the longest subarray whose sum isn't divisible by $$$x$$$. If there's no such subarray, print $$$-1$$$.

Example

Input

3 3 3 1 2 3 3 4 1 2 3 2 2 0 6

Output

2 3 -1

Note

In the first test case, the subarray $$$[2,3]$$$ has sum of elements $$$5$$$, which isn't divisible by $$$3$$$.

In the second test case, the sum of elements of the whole array is $$$6$$$, which isn't divisible by $$$4$$$.

In the third test case, all subarrays have an even sum, so the answer is $$$-1$$$.

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