Cube Cakes

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This winter our chef plans to unveil his latest creation  Cube Cakes. As the name suggests, this new delicacy is a cake in the form of a perfect cube with secret ingredients from the chef's inventory. Since it is a relatively new creation of the chef, he wants to master the ability to make perfectly identical Cube Cakes. For this, he wants you to write a program that will calculate the similarity between two given Cube Cakes.
Each Cube Cake can be represented as a cube of size N where each cell of the cube contains a lowercase alphabet ('a''z'). The similarity between two Cube Cakes ( of size N each ) is defined as the maximum sized common subcube that exists at exactly the same position in both the Cube Cakes. Two subcubes are said to be common if atleast P% of their corresponding characters are equal. You need to find the size S of the largest such subcube and also the number of common subcubes of size S in the Cube Cake.
Input
The first line contains an integer T denoting the number of test cases. Then the descriptions of testcases follows.
The first line of each testcase contains integers N (the size of the Cube Cakes A and B that are to be compared) and P.
The next line contains a string S_{A} containing N^{3} lowercase characters ('a''z'), where the A[i][j][k]^{th} element of the Cube Cake A is given by S_{A}[ i*N*N + j*N + k ] where 0 ≤ i, j, k ≤ N1 .
The next line contains a string S_{B} containing N^{3} lowercase characters ('a''z'), S_{B} is the description of the Cube Cake B in the way analogical to A.
Output
For every test case, print in a single line the similarity between the two Cube Cakes S and the number of common subcubes of size S.
If there is no common sub cube present, just print 1 in a single line.
Constraints
 1 ≤ T ≤ 40
 1 ≤ N ≤ 40
 0 ≤ P ≤ 100
  S_{A} , S_{B}  = N^{3}
Example
Input: 3 2 40 abcdefgh abcdefgh 2 100 abcdefgh ccccccch 1 100 a b Output: 2 1 1 2 1
Explanation
Example case 1.
Since both the Cube Cakes are identical, the whole cube matches and hence the similarity is 2. Also, there is only one subcube of size 2.
Example case 2.
Since P is 100, all characters in the subcube must match. The sub cube 'c' and 'h' each of size 1 are the largest cube satisfying this criteria. Hence the similarity is 1 and corresponding count is 2 .
Example case 3.
Since no characters match in the cube, we cannot find a common subcube here.
Author:  viv001 
Tester:  gerald 
Editorial  http://discuss.codechef.com/problems/CUBE 
Tags  dec13, easy, viv001 
Date Added:  1102013 
Time Limit:  0.5 sec 
Source Limit:  50000 Bytes 
Languages:  C, CPP14, JAVA, PYTH, PYTH 3.6, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, SCALA, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, TCL, PERL6, TEXT, CLOJ, FS 
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