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 C++ (GCC 9.2.1) (judge verdict: Accepted)

/***"In the name of Allah(swt), the most gracious, most merciful. Allah(swt) blesses with knowledge whom he wants."***/
/*** "ALHAMDULILLAH for Everything..." ***/
#include<bits/stdc++.h>
using namespace std;
#define  fastt       ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define  ll         long long
#define  debug      printf("Come here!")
#define  inf        1000000000000000000
#define  pb         push_back
#define  mp         make_pair
#define  sz(a)      a.size()
#define  mem(a,b)   memset(a,b,sizeof(a))
#define  clr(x)     x.clear()
#define  ff         first
#define  ss         second
#define  case(x)    cout << "Case " << x <<": "

#define  md         1000000007
#define  pi         acos(-1.0)
#define  cos(a)     cos(a*pi/180)
#define  sin(a)     sin(a*pi/180)
#define  tan(a)     tan(a*pi/180)
#define  cosi(a)    acos(a)/(pi/180)
#define  sini(a)    asin(a)/(pi/180)
#define  tani(a)    atan(a)/(pi/180)

#define  vl         vector <ll>
#define  vs         vector <string>
#define  vc         vector <char>
#define  vpll       vector < pair <ll, ll> >
#define  vpsl       vector < pair <string, ll> >
#define  vpls       vector < pair <ll, string> >
#define  pql        priority_queue<ll>
#define  minpql     priority_queue<ll,vector<ll>,greater<ll> >

#define  setbits(x)     __builtin_popcountll(x)
#define  zerobits(x)    __builtin_ctzll(x)

#define toll(a) atoll(a.c_str())
string tostr(ll a) {stringstream rr;rr<<a;return rr.str();}
ll pow(ll c,ll d){return d==0?:c*pow(c,d-1);}
ll gcd(ll a,ll b) {return b==0? a:gcd(b,a%b);}
ll lcm(ll a,ll b) {return ((a*b)/gcd(a,b));}

/* mpp.max_load_factor(0.25); mpp.reserve(1024); */
/* cout << fixed << setprecision(12);*/

int main()
{
    fastt;
    ll n, m, k, i, j, x, y, c, d, p=0, h, f=0, ff=0;
    cin>>n>>m;
    string s;
    vs v, a;
    for(i=0; i<n; i++){
        cin>>s;
        v.pb(s);
    }
    for(i=0; i<m; i++){
        cin>>s;
        a.pb(s);
    }

    for(i=0; i<n-m+1; i++){
        for(j=0; j<n-m+1; j++){
            f=0;
            for(k=i, c=0; c<m; k++, c++){
                for(h=j, d=0; d<m; h++, d++){
                    if(v[k][h]!=a[c][d]){
                        f=1;
                        break;
                    }
                }
                if(f==1)break;
            }
            if(f==0){
                ff=1;
                break;
            }
        }
        if(ff==1)break;
    }
    if(ff==1)cout<<"Yes"<<endl;
    else cout<<"No"<<endl;

    return 0;
}