Connect dots to create boxes, and the player with the most box wins.

message State {
  // Required field to indicate the player who should be making the next move
  // Values = 0 or 1
  int32 player_turn_idx = 1;

  // The array is stored in row major order, so index 0 is the top left and 
  // last index is the bottom right. In a size 2x2 board, index 1 is the 
  // top right board. 
  repeated Box board = 2;

  // Number of horizontal boxes in the grid
  int32 board_width = 3;

  // Number of vertical boxes in the grid
  int32 board_height = 4;
}

/*
Represents a 1x1 box. Closing this box requires 4 lines. 
*/
message Box {
  // The row of this box in the grid of boxes
  int32 row = 1;

  // The column of this box in the grid of boxes
  int32 column = 2;

  // The player who closed this box. Values can be -1, 0, or 1.
  // -1 means the box isn't closed yet.
  int32 closed_box_player_idx = 3;

  // Values can be -1, 0, 1, representing who drew this line on this box.
  int32 top_line = 4;

  // Values can be -1, 0, 1, representing who drew this line on this box.
  int32 bottom_line = 5;

  // Values can be -1, 0, 1, representing who drew this line on this box.
  int32 right_line = 6;

  // Values can be -1, 0, 1, representing who drew this line on this box.
  int32 left_line = 7;
}