Template Matching

AtCoder

IDabc054_b

Time2000ms

Memory256MB

Difficulty—

You are given an image $A$ composed of $N$ rows and $N$ columns of pixels, and a template image $B$ composed of $M$ rows and $M$ columns of pixels. A pixel is the smallest element of an image, and in this problem it is a square of size $1×1$. Also, the given images are binary images, and the color of each pixel is either white or black. In the input, every pixel is represented by a character: `.` corresponds to a white pixel, and `#` corresponds to a black pixel. The image $A$ is given as $N$ strings $A_1,...,A_N$. The $j$\-th character in the string $A_i$ corresponds to the pixel at the $i$\-th row and $j$\-th column of the image $A$ $(1≦i,j≦N)$. Similarly, the template image $B$ is given as $M$ strings $B_1,...,B_M$. The $j$\-th character in the string $B_i$ corresponds to the pixel at the $i$\-th row and $j$\-th column of the template image $B$ $(1≦i,j≦M)$. Determine whether the template image $B$ is contained in the image $A$ when only parallel shifts can be applied to the images. ## Constraints * $1≦M≦N≦50$ * $A_i$ is a string of length $N$ consisting of `#` and `.`. * $B_i$ is a string of length $M$ consisting of `#` and `.`. ## Input The input is given from Standard Input in the following format: $N$ $M$ $A_1$ $A_2$ $:$ $A_N$ $B_1$ $B_2$ $:$ $B_M$ [samples]

Samples

Input #1

3 2
#.#
.#.
#.#
#.
.#

Output #1

Yes

The template image $B$ is identical to the upper-left $2 × 2$ subimage and the lower-right $2 × 2$ subimage of $A$. Thus, the output should be `Yes`.

Input #2

4 1
....
....
....
....
#

Output #2

No

The template image $B$, composed of a black pixel, is not contained in the image $A$ composed of white pixels.

API Response (JSON)

{
  "problem": {
    "name": "Template Matching",
    "description": {
      "content": "You are given an image $A$ composed of $N$ rows and $N$ columns of pixels, and a template image $B$ composed of $M$ rows and $M$ columns of pixels.   A pixel is the smallest element of an image, and i",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc054_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given an image $A$ composed of $N$ rows and $N$ columns of pixels, and a template image $B$ composed of $M$ rows and $M$ columns of pixels.  \nA pixel is the smallest element of an image, and i...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments