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code_segments/segment_119.txt
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This is the easy version of the problem. The only difference between the two versions is the constraint on $n$. You can make hacks only if both versions of the problem are solved.
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You are given an array of integers $a$ of length $n$.
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In one operation, you will perform the following two-step process:
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1. Choose an index $i$ such that $1 \le i < |a|$ and $a_i = i$. 2. Remove $a_i$ and $a_{i+1}$ from the array and concatenate the remaining parts.
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Find the maximum number of times that you can perform the operation above.
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Each test contains multiple test cases. The first line of input contains a single integer $t$ ($1 \le t \le 100$) — the number of test cases. The description of the test cases follows.
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The first line of each test case contains a single integer $n$ ($1 \le n \le 100$) — the length of the array $a$.
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The second line of each test case contains $n$ integers $a_1, a_2, \ldots, a_n$ ($1 \le a_i \le n$) — the elements of the array $a$.
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It is guaranteed that the sum of $n$ over all test cases does not exceed $100$.
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For each test case, output a single integer — the maximum number of times that you can perform the operation.
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In the first test case, one possible optimal sequence of operations is $[ 1, 5, \color{red}{3}, \color{red}{2}, 4 ] \rightarrow [\color{red}{1}, \color{red}{5}, 4] \rightarrow [4]$.
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In the third test case, one possible optimal sequence of operations is $[1, \color{red}{2}, \color{red}{3}] \rightarrow [1]$.
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