| Narek is too lazy to create the third problem of this contest. His friend Artur suggests that he should use ChatGPT. ChatGPT creates $n$ problems, each consisting of $m$ letters, so Narek has $n$ strings. To make the problem harder, he combines the problems by selecting some of the $n$ strings possibly none and concatenating them without altering their order. His chance of solving the problem is defined as $score_n - score_c$, where $score_n$ is Narek's score and $score_c$ is ChatGPT's score. | |
| Narek calculates $score_n$ by examining the selected string (he moves from left to right). He initially searches for the letter $\texttt{"n"}$, followed by $\texttt{"a"}$, $\texttt{"r"}$, $\texttt{"e"}$, and $\texttt{"k"}$. Upon finding all occurrences of these letters, he increments $score_n$ by $5$ and resumes searching for $\texttt{"n"}$ again (he doesn't go back, and he just continues from where he left off). | |
| After Narek finishes, ChatGPT scans through the array and increments $score_c$ by $1$ for each letter $\texttt{"n"}$, $\texttt{"a"}$, $\texttt{"r"}$, $\texttt{"e"}$, or $\texttt{"k"}$ that Narek fails to utilize (note that if Narek fails to complete the last occurrence by finding all of the $5$ letters, then all of the letters he used are counted in ChatGPT's score $score_c$, and Narek doesn't get any points if he doesn't finish finding all the 5 letters). | |
| Narek aims to maximize the value of $score_n - score_c$ by selecting the most optimal subset of the initial strings. | |
| In the first line of the input, you're given a single integer $t$ ($1 \le t \le 10^5$), the number of test cases. Then the description of each test case follows. | |
| In the first line of each test case, you're given two integers $n, m$ ($1 \le n, m \le 10^3$), the number of strings and the length of each string. | |
| In the next $n$ lines, you're given $n$ strings, each having a length of $m$. The strings only contain lowercase letters of the English alphabet. | |
| The sum of values of $n \cdot m$ over all test cases does not exceed $10^6$. | |
| For each test |