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Dmitry has $n$ cubes, numbered from left to right from $1$ to $n$. The cube with index $f$ is his favorite. |
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Dmitry threw all the cubes on the table, and the $i$-th cube showed the value $a_i$ ($1 \le a_i \le 100$). After that, he arranged the cubes in non-increasing order of their values, from largest to smallest. If two cubes show the same value, they can go in any order. |
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After sorting, Dmitry removed the first $k$ cubes. Then he became interested in whether he removed his favorite cube (note that its position could have changed after sorting). |
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For example, if $n=5$, $f=2$, $a = [4, \color{green}3, 3, 2, 3]$ (the favorite cube is highlighted in green), and $k = 2$, the following could have happened: |
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* After sorting $a=[4, \color{green}3, 3, 3, 2]$, since the favorite cube ended up in the second position, it will be removed. * After sorting $a=[4, 3, \color{green}3, 3, 2]$, since the favorite cube ended up in the third position, it will not be removed. |
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The first line contains an integer $t$ ($1 \le t \le 1000$) — the number of test cases. Then follow the descriptions of the test cases. |
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The first line of each test case description contains three integers $n$, $f$, and $k$ ($1 \le f, k \le n \le 100$) — the number of cubes, the index of Dmitry's favorite cube, and the number of removed cubes, respectively. |
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The second line of each test case description contains $n$ integers $a_i$ ($1 \le a_i \le 100$) — the values shown on the cubes. |
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For each test case, output one line — "YES" if the cube will be removed in all cases, "NO" if it will not be removed in any case, "MAYBE" if it may be either removed or left. |
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You can output the answer in any case. For example, the strings "YES", "nO", "mAyBe" will be accepted as answers. |
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