A11560 | Clear The Matrix
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内存限制256MB
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题目描述
You are given a matrix $f$ with $4$ rows and $n$ columns. Each element of the matrix is either an asterisk (\*) or a dot (.).
You may perform the following operation arbitrary number of times: choose a square submatrix of $f$ with size $k×k$ (where $1<=k<=4$ ) and replace each element of the chosen submatrix with a dot. Choosing a submatrix of size $k×k$ costs $a_{k}$ coins.
What is the minimum number of coins you have to pay to replace all asterisks with dots?
You may perform the following operation arbitrary number of times: choose a square submatrix of $f$ with size $k×k$ (where $1<=k<=4$ ) and replace each element of the chosen submatrix with a dot. Choosing a submatrix of size $k×k$ costs $a_{k}$ coins.
What is the minimum number of coins you have to pay to replace all asterisks with dots?
输入格式
The first line contains one integer $n$ ( $4<=n<=1000$ ) — the number of columns in $f$ .
The second line contains $4$ integers $a_{1}$ , $a_{2}$ , $a_{3}$ , $a_{4}$ ( $1<=a_{i}<=1000$ ) — the cost to replace the square submatrix of size $1×1$ , $2×2$ , $3×3$ or $4×4$ , respectively.
Then four lines follow, each containing $n$ characters and denoting a row of matrix $f$ . Each character is either a dot or an asterisk.
The second line contains $4$ integers $a_{1}$ , $a_{2}$ , $a_{3}$ , $a_{4}$ ( $1<=a_{i}<=1000$ ) — the cost to replace the square submatrix of size $1×1$ , $2×2$ , $3×3$ or $4×4$ , respectively.
Then four lines follow, each containing $n$ characters and denoting a row of matrix $f$ . Each character is either a dot or an asterisk.
输出格式
Print one integer — the minimum number of coins to replace all asterisks with dots.
输入输出样例
输入 #1
4 1 10 8 20 ***. ***. ***. ...*
输出 #1
9
输入 #2
7 2 1 8 2 .***... .***..* .***... ....*..
输出 #2
3
输入 #3
4 10 10 1 10 ***. *..* *..* .***
输出 #3
2
In the first example you can spend $8$ coins to replace the submatrix $3×3$ in the top-left corner, and $1$ coin to replace the $1×1$ submatrix in the bottom-right corner.
In the second example the best option is to replace the $4×4$ submatrix containing columns $2–5$ , and the $2×2$ submatrix consisting of rows $2–3$ and columns $6–7$ .
In the third example you can select submatrix $3×3$ in the top-left corner and then submatrix $3×3$ consisting of rows $2–4$ and columns $2–4$ .
In the second example the best option is to replace the $4×4$ submatrix containing columns $2–5$ , and the $2×2$ submatrix consisting of rows $2–3$ and columns $6–7$ .
In the third example you can select submatrix $3×3$ in the top-left corner and then submatrix $3×3$ consisting of rows $2–4$ and columns $2–4$ .
C++ 编辑器
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评测结果：Accepted