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Even in university, students need to relax. That is why Sakurakos teacher decided to go on a field trip. It is known that all of the students will be walking in one line. The student with index $i$ has some topic of interest which is described as $a_i$. As a teacher, you want to minimise the disturbance of the line of students. |
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The disturbance of the line is defined as the number of neighbouring people with the same topic of interest. In other words, disturbance is the number of indices $j$ ($1 \le j < n$) such that $a_j = a_{j + 1}$. |
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In order to do this, you can choose index $i$ ($1\le i\le n$) and swap students at positions $i$ and $n-i+1$. You can perform any number of swaps. |
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Your task is to determine the minimal amount of disturbance that you can achieve by doing the operation described above any number of times. |
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The first line contains one integer $t$ ($1\le t\le 10^4$) — the number of test cases. |
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Each test case is described by two lines. |
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* The first line contains one integer $n$ ($2 \le n \le 10^5$) — the length of the line of students. * The second line contains $n$ integers $a_i$ ($1\le a_i\le n$) — the topics of interest of students in line. |
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It is guaranteed that the sum of $n$ across all test cases does not exceed $2\cdot 10^5$. |
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For each test case, output the minimal possible disturbance of the line that you can achieve. |
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In the first example, it is necessary to apply the operation to $i=2$, thus the array will become $[1, \textbf{2}, 1, \textbf{1}, 3]$, with the bold elements indicating those that have swapped places. The disturbance of this array is equal to $1$. |
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In the fourth example, it is sufficient to apply the operation to $i=3$, thus the array will become $[2, 1, \textbf{2}, \textbf{1}, 2, 4]$. The disturbance of this array is equal to $0$. |
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In the eighth example, it is sufficient to apply the operation to $i=3$, thus the array will become $[1, 4, \textbf{1}, 5, \textbf{3}, 1, 3]$. The disturbance of this array is equal to $0$. |