Score : 400 points
We have a grid with H rows and W columns. The square at the i-th row and the j-th column will be called Square (i,j).
The integers from 1 through H×W are written throughout the grid, and the integer written in Square (i,j) is A_{i,j}.
You, a magical girl, can teleport a piece placed on Square (i,j) to Square (x,y) by consuming |x-i|+|y-j| magic points.
You now have to take Q practical tests of your ability as a magical girl.
The i-th test will be conducted as follows:
Initially, a piece is placed on the square where the integer L_i is written.
Let x be the integer written in the square occupied by the piece. Repeatedly move the piece to the square where the integer x+D is written, as long as x is not R_i. The test ends when x=R_i.
Here, it is guaranteed that R_i-L_i is a multiple of D.
For each test, find the sum of magic points consumed during that test.
Input is given from Standard Input in the following format:
H W D A_{1,1} A_{1,2} ... A_{1,W} : A_{H,1} A_{H,2} ... A_{H,W} Q L_1 R_1 : L_Q R_Q
For each test, print the sum of magic points consumed during that test.
Output should be in the order the tests are conducted.
3 3 2 1 4 3 2 5 7 8 9 6 1 4 8
5
4 is written in Square (1,2).
6 is written in Square (3,3).
8 is written in Square (3,1).
Thus, the sum of magic points consumed during the first test is (|3-1|+|3-2|)+(|3-3|+|1-3|)=5.
4 2 3 3 7 1 4 5 2 6 8 2 2 2 2 2
0 0
Note that there may be a test where the piece is not moved at all, and there may be multiple identical tests.
5 5 4 13 25 7 15 17 16 22 20 2 9 14 11 12 1 19 10 6 23 8 18 3 21 5 24 4 3 13 13 2 10 13 13
0 5 0