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Description:

Ehab has an array $$$a$$$ of length $$$n$$$. He has just enough free time to make a new array consisting of $$$n$$$ copies of the old array, written back-to-back. What will be the length of the new array's longest increasing subsequence?

A sequence $$$a$$$ is a subsequence of an array $$$b$$$ if $$$a$$$ can be obtained from $$$b$$$ by deletion of several (possibly, zero or all) elements. The longest increasing subsequence of an array is the longest subsequence such that its elements are ordered in strictly increasing order.

Input:

The first line contains an integer $$$t$$$ — the number of test cases you need to solve. The description of the test cases follows.

The first line of each test case contains an integer $$$n$$$ ($$$1 \le n \le 10^5$$$) — the number of elements in the array $$$a$$$.

The second line contains $$$n$$$ space-separated integers $$$a_1$$$, $$$a_2$$$, $$$\ldots$$$, $$$a_{n}$$$ ($$$1 \le a_i \le 10^9$$$) — the elements of the array $$$a$$$.

The sum of $$$n$$$ across the test cases doesn't exceed $$$10^5$$$.

Output:

For each testcase, output the length of the longest increasing subsequence of $$$a$$$ if you concatenate it to itself $$$n$$$ times.

Sample Input:

2
3
3 2 1
6
3 1 4 1 5 9

Sample Output:

3
5

Note:

In the first sample, the new array is $$$[3,2,\textbf{1},3,\textbf{2},1,\textbf{3},2,1]$$$. The longest increasing subsequence is marked in bold.

In the second sample, the longest increasing subsequence will be $$$[1,3,4,5,9]$$$.

Informação

Codeforces

Provedor Codeforces

Código CF1325B

Tags

greedyimplementation

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Datas 09/05/2023 10:00:14

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