CF1478A Nezzar and Colorful Balls
Description
Nezzar has $ n $ balls, numbered with integers $ 1, 2, \ldots, n $ . Numbers $ a_1, a_2, \ldots, a_n $ are written on them, respectively. Numbers on those balls form a non-decreasing sequence, which means that $ a_i \leq a_{i+1} $ for all $ 1 \leq i < n $ .
Nezzar wants to color the balls using the minimum number of colors, such that the following holds.
- For any color, numbers on balls will form a strictly increasing sequence if he keeps balls with this chosen color and discards all other balls.
Note that a sequence with the length at most $ 1 $ is considered as a strictly increasing sequence.
Please help Nezzar determine the minimum number of colors.
Input Format
The first line contains a single integer $ t $ ( $ 1 \le t \le 100 $ ) — the number of testcases.
The first line of each test case contains a single integer $ n $ ( $ 1 \le n \le 100 $ ).
The second line of each test case contains $ n $ integers $ a_1,a_2,\ldots,a_n $ ( $ 1 \le a_i \le n $ ). It is guaranteed that $ a_1 \leq a_2 \leq \ldots \leq a_n $ .
Output Format
For each test case, output the minimum number of colors Nezzar can use.
Explanation/Hint
Let's match each color with some numbers. Then:
In the first test case, one optimal color assignment is $ [1,2,3,3,2,1] $ .
In the second test case, one optimal color assignment is $ [1,2,1,2,1] $ .