P4825 [USACO15FEB] Cow Hopscotch S

Description

Just like humans enjoy playing the game of Hopscotch, Farmer John's cows have invented a variant of the game for themselves to play. Being played by clumsy animals weighing nearly a ton, Cow Hopscotch almost always ends in disaster, but this has surprisingly not deterred the cows from attempting to play nearly every afternoon. The game is played on an $R$ by $C$ grid $(2

Input Format

The first line contains the integers $R, C,$ and $K$. The next $R$ lines will each contain $C$ integers, each in the range $1..K$.

Output Format

Output the number of different ways one can jump from the top-left square to the bottom-right square, mod $1000000007$.