Problem:
Score : 200 points

Problem Statement

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

Output

Print Yes if the template image B is contained in the image A. Print No otherwise.

Sample Input 1

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

Sample 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.

Sample Input 2

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

Sample Output 2

No

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

Solution in Rust (1.15.1) (judge verdict: Wrong Answer)

use std::io::stdin;

fn main(){
    let mut A = Vec::new();
    let mut B = Vec::new();
    let nm = getvec();
    for _ in 0..nm[0]{A.push(getrow());}
    for _ in 0..nm[1]{B.push(getrow());}
    println!("{}", if solve(&A, &B) {"Yes"} else {"No"});
}

fn solve(A: &Vec<Vec<bool>>, B: &Vec<Vec<bool>>) -> bool{
    let (n, m) = (A.len(), B.len());
    'outer: for i in 0..n-m+1{
        'inner: for j in 0..n-m+1{
            for k in 0..m{
                for l in 0..m{
                    if A[i+k][j+l]!=B[k][l]{
                        continue 'outer;
                    }
                }
            }
            return true;
        }
    }
    false
}

fn getrow()->Vec<bool>{
    let mut x: Vec<bool> = Vec::new();
    for c in getline().chars(){
        x.push(c=='#');
    }
    x
}

#[allow(dead_code)]
fn getline() -> String {
    let mut s = String::new();
    match stdin().read_line(&mut s){
        Ok(_) => {s.trim().to_string()}
        Err(_) => String::new()
    }
}

#[allow(dead_code)]
fn getvec() -> Vec<i64>{
    let line = getline();
    line.split_whitespace().map(|x| x.parse().unwrap()).collect()
}