Claim The Grid's Squares

Game for 2 players.
Draw the grid large enough so that each square can contain
the game-piece (such as a coin) of each player.
Play starts with each player marking any one of the squares,
a different square for each player, with the player's symbol
or filling in a square, using colored pencils or pens, with
the player's color.
Players each then place their game-piece on their starting
square.
The game consists of "turns" where one player moves and then
the other. Who moves first in each turn alternates. So the
moves are done like this:
(player 1, player 2) (player 2, player 1) (player 1, player 2) (player
2, player 1), etc.
Before either player moves in a turn, the player who moves
second in the turn calls out how many spaces both players
will move in the turn. The number of spaces called out
is an integer from 1 to (n-1).
Players, in the appropriate order, then move their game-
pieces either up, down, left, or right the same number of
squares on the grid. (Both players must move the same number
of positions in a turn, but each can move in their own
direction.)
If a player cannot move because the number called is too big,
and the move would take the player off the grid, then that
player simply does not move on that turn.
When a player is the first to land his/her game-piece on a
square, the player then marks that square with his/her symbol,
or fills the square in with her/his color.
Players can always land on squares that are marked (by either
player), but they can only claim empty squares for their own.
Players can't move onto squares where their opponent's game-
piece is located.
Play continues until every square is filled in, or until a
predetermined number of turns have passed.
The winner of the game has the most number of squares marked
with their symbol or with their color.

Clarification: a player must move if he/she is able to move, whether she/he wants to or not.

Thanks,
Leroy Quet