You are given a picture with size n×n. You need to output the zoomed picture with the zooming rate Z% in 8-bit style, or determine the picture can not be zoomed. Here in 8-bit style, the size of the result picture is (nZ/100)×(nZ/100). A picture can not be zoomed in 8-bit style if and only if any of the following holds:
The first line contains a single integer T (1≤T≤10), the number of test cases. For each test case:
The first line contains two integers n and Z (1≤n≤50, 100≤Z≤200, Zmod25=0), denoting the size of the original picture and the zooming rate.
Each of the following n lines contains a string of length n, consisting of lowercase English letters. The j-th character in the i-th line denotes the color of the pixel located at (i,j).
For each test case, if the picture can not be zoomed, print ''error'' in a line, otherwise print nZ/100 lines, each line contains a string of length nZ/100, denoting the resulting picture.
5
2 100
ab
cd
2 200
ab
cd
2 125
aa
aa
4 125
aaab
aaaa
aaaa
aaaa
4 125
aaaa
aaaa
aaaa
aaaa
ab
cd
aabb
aabb
ccdd
ccdd
error
error
aaaaa
aaaaa
aaaaa
aaaaa
aaaaa