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Stamp Grid

시간 제한2초메모리 제한1024 MB

요약
목표 흑백 그림과 네 방향으로 회전할 수 있는 K×K 스탬프가 주어질 때, 스탬프를 반복해 찍어 목표 그림을 만들 수 있는지 판정한다.
난이도

보통10점 중 4점

유형
구현, 완전 탐색, 행렬, 시뮬레이션
정답자
아직 제출이 없습니다

문제

A stamp painting is a black and white painting on an N×NN \times N canvas, where certain cells are inked while others are blank. It can be described by an N×NN\times N array of characters (1≤N≤201\le N\le 20). The iith entry of the jjth column of the array is equal to * if the canvas contains ink at that square and . otherwise.

Bessie has a stamp painting that she would like to create, so Farmer John has lent her a single K×KK\times K (1≤K≤N1\le K\le N) stamp to do this and an empty N×NN \times N canvas. Bessie can repeatedly rotate the stamp clockwise by 90∘90^{\circ} and stamp anywhere on the grid as long as the stamp is entirely inside the grid. Formally, to stamp, Bessie chooses integers i,ji,j such that i∈\[1,N−K+1]i \in \[1,N-K+1] and j∈\[1,N−K+1]j \in \[1, N-K+1]; for each (i′,j′)(i',j') such that 1≤i′,j′≤K1 \le i', j' \le K, canvas cell (i+i′−1,j+j′−1)(i+i'-1, j+j'-1) is painted black if the stamp has ink at (i′,j′)(i', j'). Bessie can rotate the stamp at any time between stampings. Once a canvas cell is painted black, it remains black.

Farmer John is wondering whether it's possible for Bessie to create her desired stamp painting with his stamp. For each of TT (1≤T≤1001 \le T \le 100) test cases, help Farmer John answer this question.

입력

The first line of input contains TT, the number of test cases.

Each test case starts with an integer NN followed by NN lines, each containing a string of *s and .s, representing Bessie's desired stamp painting. The next line contains KK and is followed by KK lines, each containing a string of *s and .s, representing Farmer John's stamp.

Consecutive test cases are separated by newlines.

출력

For each test case, output "YES" or "NO" on separate lines.

예제1

  1. 예제 1

    입력
    4
    
    2
    **
    *.
    1
    *
    
    3
    .**
    .**
    ***
    2
    .*
    **
    
    3
    ...
    .*.
    ...
    3
    .*.
    ...
    ...
    
    3
    **.
    .**
    ..*
    2
    .*
    *.
    
    예상 출력
    YES
    YES
    NO
    YES