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BJ_17069 : 파이프 옮기기 2

Notation

$p_{ij}=[a_{ij},b_{ij},c_{ij}]^T$

각 좌표는 다음으로 표현하자 : $p_{00}=p_{ij}$ 라고 두면, 좌표는 $\begin{smallmatrix}p_{00}&p_{01}\p_{10}&p_{11}\end{smallmatrix}$로 표현된다

$ \begin{bmatrix}a_{11} \ b_{11} \ c_{11}\end{bmatrix} =\begin{bmatrix}a_{01} & b_{01} & 0\ a_{00}&b_{00} &c_{00}\ 0&b_{10}&c_{10}\end{bmatrix} \begin{bmatrix}1\1\1\end{bmatrix}$

이후, position $i,j$ 에 벽이 있다면 $W_{ij}$ 를 곱한다 $\left(W_{01}=\left[\begin{smallmatrix}1&0&0\1&0&0\0&0&0\end{smallmatrix}\right] ,W_{10}=\left[\begin{smallmatrix}0&0&0\0&0&1\0&0&1\end{smallmatrix}\right] ,W_{00}=\left[\begin{smallmatrix}1&0&0\0&0&0\0&0&1\end{smallmatrix}\right]\right) $

17069_1

17069_1

17069_1

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