I'm confused on the editorial for [problem:1666J]. [View the editorial here](https://codeforces.net/contest/1666/attachments/download/15881/nerc-2021-tutorial.pdf)↵
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In the editorial for [problem:1666J], when transitioning from $a_{i,k - 1}$ and $a_{k + 1, j}$ to $a_{i,j},$ $c_{u, v}$ seems to be only added once (the number of messages going from $u$ to $v$, for all $u,v$ such that $i \le u \le k - 1$ and $k < v \le j$) even though the total cost should be $c_{u,v} \cdot d_{u,v}$. What is going on here?↵
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Thank you for the help!
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In the editorial for [problem:1666J], when transitioning from $a_{i,k - 1}$ and $a_{k + 1, j}$ to $a_{i,j},$ $c_{u, v}$ seems to be only added once (the number of messages going from $u$ to $v$, for all $u,v$ such that $i \le u \le k - 1$ and $k < v \le j$) even though the total cost should be $c_{u,v} \cdot d_{u,v}$. What is going on here?↵
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Thank you for the help!