Visibility

AtCoder

IDabc197_b

Time2000ms

Memory256MB

Difficulty—

We have a grid of $H$ horizontal rows and $W$ vertical columns, where some of the squares contain obstacles. Let $(i, j)$ denote the square at the $i$\-th row from the top and $j$\-th column from the left. You are given $H$ strings $S_1, S_2, S_3, \dots, S_H$. The $j$\-th character of $S_i$ describes the square $(i, j)$; `#` means the square contains an obstacle, and `.` means it does not. We say a square is **visible** from another when it is on the same row or the same column, and there is no obstacle between them (including themselves). Print the number of squares **visible** from the square $(X, Y)$ (including $(X, Y)$ itself). ## Constraints * $1 \le H \le 100$ * $1 \le W \le 100$ * $1 \le X \le H$ * $1 \le Y \le W$ * $S_i$ is a string of length $W$ consisting of `.` and `#`. * The square $(X, Y)$ does not contain an obstacle. ## Input Input is given from Standard Input in the following format: $H$ $W$ $X$ $Y$ $S_1$ $S_2$ $S_3$ $\hspace{3pt} \vdots$ $S_H$ [samples]

Samples

Input #1

4 4 2 2
##..
...#
#.#.
.#.#

Output #1

4

The squares visible from the square $(2, 2)$ are:

*   $(2, 1)$
*   $(2, 2)$
*   $(2, 3)$
*   $(3, 2)$

Input #2

3 5 1 4
#....
#####
....#

Output #2

4

Even if two squares are on the same row or the same column, they are not visible from each other when there are obstacles between them.

Input #3

5 5 4 2
.#..#
#.###
##...
#..#.
#.###

Output #3

API Response (JSON)

{
  "problem": {
    "name": "Visibility",
    "description": {
      "content": "We have a grid of $H$ horizontal rows and $W$ vertical columns, where some of the squares contain obstacles.   Let $(i, j)$ denote the square at the $i$\\-th row from the top and $j$\\-th column from th",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc197_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "We have a grid of $H$ horizontal rows and $W$ vertical columns, where some of the squares contain obstacles.  \nLet $(i, j)$ denote the square at the $i$\\-th row from the top and $j$\\-th column from th...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments