Thwart Omega

In this Death Match, maximize the product of the sizes of your group by placing strategically on the board.

Designer(s): chaotic_iak Match Type: DM (for 2 players)
Featured in: Genius Game 3, DM Colosseum, The Genius Puzzler

Your objective is simple: score more than your opponent, by making many groups of stones of your color. The catch? Your score is the product of your group sizes, which makes it tricky to optimize.


You will play on a 7x7 board. Initially, it begins empty; one of you will play as white and the other as black.


The game is divided into rounds. In each round, each of you must place 1 white stone and 1 black stone on the board, such that they are placed on different empty squares. This is how you build groups of stones.


However, moves are simultaneous, and thus it's possible that you play stones onto the same square. In such case, if a square has two stones of different colors, it's burned and belong to neither player; otherwise, all the stones remain there, whether it's one or two of a color.


The game ends when there are 3 or less empty squares remaining at the end of a round; all remaining empty squares are burned. Then it's time to count up the scores.


A group of stones consists of a maximal contiguous set of squares occupied by the same color of stones. This means, squares that share a side (diagonal touching doesn't count) and both contain the same color belong in the same group; each group is taken to be as large as possible. Your score is simply the product of all group sizes of your color. Group sizes count the number of stones in it; in particular, squares containing two of the same stone count double.


The player with the highest score wins. In case of a tie, the DM opponent (e_is_cool) wins.



Thwart Omega


This game appeared in Genius Game 3, hosted by me, as Death Match 9.


The goal of the game is to get the highest score. But your score is computed in an unusual fashion: it is the product of sizes of groups you have. With both players competing for the same cells, can you thwart the other player's plans?


RULES

The game is played on a 7x7 board:



The grid will be filled with stones. There are two colors of stones: black and white, the same color as the players. Stones of the same color that form a contiguous group of side-adjacent cells are called a group.


The game is played in rounds. When the board is too full to accommodate any more round, the game ends.


Each round, you must make a move privately. Place one black and one white stone onto empty cells of the grid. The two stones may not be on the same cell, but otherwise there are no restriction on where they should go.


After both players have made their moves, they are revealed and made on the board, with the following special cases:

  • Two stones of the same color on the same cell: The cell gets two stones of that color.
  • Two stones of different colors on the same cell: The cell gets a gray stone instead, which doesn't belong to either player.

The game ends after the turn when there are at most 3 free cells remaining. These cells get gray stones on them.


Your score is the product of all group sizes of your stones. (Double-stone cells count as two for the group.) The player with a higher score wins. In case of a tie, group sizes are compared; the player whose largest group is larger wins. In case that's also a tie, compare the second largest, and so on. If they all tie, the game will be replayed.


EXAMPLE

The following board is the end of a game. Black's group sizes are 6,4,4,4,4,1, for a product of 1536. White's group sizes are 6,4,3,3,3,2,2, for a product of 2592. Thus White wins.



ADMINISTRATION

Make your moves in your private channel. State where you will place your black stone, and where you will place your white stone.


Information revealed in public game room: current board, score calculation.


Information revealed in private channel: nothing.


Time controls: 1 minute per round. You may change your move until the end of the round. If at deadline you haven't submitted a move or your move is illegal, your move will be randomized.



Death Match 6: Thwart Omega

This game appeared in Genius Game 3, hosted by chao, as Death Match 9. The rules here are taken from Death Match Colosseum.


The goal of the game is to get the highest score. But your score is computed in an unusual fashion: it is the product of sizes of groups you have. With both players competing for the same cells, can you thwart the other player's plans?


RULES

The game is played on a 7x7 board:



One player plays as black, the other plays as white. The grid will be filled with stones. There are two colors of stones: black and white, the same color as the players. Stones of the same color that form a contiguous group of side-adjacent cells are called a group.


The game is played in rounds. When the board is too full to accommodate any more round, the game ends.


Each round, you must make a move privately. Place one black and one white stone onto empty cells of the grid. The two stones may not be on the same cell, but otherwise there are no restriction on where they should go.


After both players have made their moves, they are revealed and made on the board, with the following special cases:

  • Two stones of the same color on the same cell: The cell gets two stones of that color.
  • Two stones of different colors on the same cell: The cell gets a gray stone instead, which doesn't belong to either player.

The game ends after the turn when there are at most 3 free cells remaining. These cells get gray stones on them.


Your score is the product of all group sizes of your stones. (Double-stone cells count as two for the group.) The player with a higher score wins. In case of a tie, group sizes are compared; the player whose largest group is larger wins. In case that's also a tie, compare the second largest, and so on. If they all tie, the winner will be the Death Match Opponent.


EXAMPLE

The following board is the end of a game. Black's group sizes are 6,4,4,4,4,1, for a product of 1536. White's group sizes are 6,4,3,3,3,2,2, for a product of 2592. Thus White wins.



ADMINISTRATION

Make your moves in your private channel. State where you will place your black stone, and where you will place your white stone.


Information revealed in public game room: current board, score calculation.


Information revealed in private channel: nothing.


Time controls: 1 minute per round. You may change your move until the end of the round. If at deadline you haven't submitted a move or your move is illegal, your move will be randomized.


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Clarification: If there are three or fewer free cells, the game ends immediately.


Tags


Area control    (The game involves controlling more area on the board in order to win.)


Grid-based    (The game involves play on a grid.)


Piece placement    (The game involves pieces being placed on a board.)


Psych    (The game tests the players' psychological & bluffing abilities.)


Simultaneous    (The game involves players taking their turns simultaneously.)


Strategy    (The game tests the players' strategic & tactical abilities.)