35
Type a key 1-9 with a square selected to make a move.
This is a two-player implementation of "35", a board game I created. A discussion of general strategy can be found below the rules.
The rules are as follows:
- Notice that each square has some squares adjacent to it (including diagonally), called "neighbors". Squares in the middle have 8 neighbors, edge squares have 5 neighbors, and corners have 3. This will be important.
- During a player's turn, they may place a number from 1 to 9 in an empty square. That number will (usually) be created in that player's color.
- If the sum of the numbers in all of a non-empty square's neighbors equals exactly 35, all of that square's neighbors will become the same color as it. For example, imagine a red 1 is surrounded by two 9s and an 8. If the blue player placed another 9 next to the 1, the sum of the 1's neighbors would be 9+9+8+9 = 35. Therefore, all of those squares would turn red, because the 1 is red.
- If a square reaches 35, its empty neighbors will be highlighted in its color.
- If an empty square is highlighted in red or blue, any number placed there will automatically be created in the highlighted color. Therefore, if blue placed a number in a red-highlighted square, it would have the same effect as if red had placed the same number.
- Empty squares can also reach 35, but nothing will happen until someone places a number there, since the square must be non-empty.
- If two squares of opposite colors reach 35 as a result of the same move, no squares change color.
- Once there are no empty squares remaining, the player with the most squares of their color wins. If both players have the same number of squares, the game ends in a tie.
- Over-thwarting - This is when you send an opponent's square over 35. Say, for example, that your opponent has a square which is surrounded by 27. At any time, they can place an 8 to get that square to 35. However, if you place a 9 next to it, the square reaches 36. Since numbers can't be deleted, that square will remain over 35 for the rest of the game.
- Under-thwarting - Similarly, you can keep an opponent's square permanently under 35. Imagine an opponent's square is surrounded by 23, with 3 empty neighbors. If you place a 1 in one of those neighbors, it is now at 24 with only 2 empty neighbors. No matter what your opponent tries to put in one of the remaining squares, you can always put a 1 in the last square. This would leave the opponent's square with a sum under 35 and no empty neighbors to increase the sum.
- Setting up your squares - This is when you surround one of your squares with 26. This is very powerful because once you've done it, there's very little your opponent can do to prevent that square from reaching 35. Unless it only has 1 empty neighbor, they can't under-thwart you. They also can't over-thwart you, since a 9 would put your square to 35. If they place a different number, like a 4, you can counter it with another number (5 in this case) to reach 35.
- Countering a set-up - If your opponent has a square which is set up near some of your own squares, you can try to set up one of your squares in the area. This can have several outcomes. First, the move which puts their square to 35 may also put your square to 35. Because of rule 7, no squares would change colors. This may be good for you if you had more squares at risk of changing color. Alternatively, you might be able to flip their set-up square to your color, which would be extremely powerful.
- Exploiting weak borders - As the game goes on, each player typically dominates a section of the board which might be called their "territory". However, if the numbers on the "border" of your opponent's territory are high, you might be able to surprise them by placing a 1 right next to their territory. This 1 would have a high neighbor sum while not giving much to the border squares adjacent to it. This only works if your opponent's border has high numbers and the adjacent cells aren't highlighted in their color.
- Maintaining strong borders - To prevent this happening to you, be wary of the effects a move would have on your borders. A strong territory is surrounded by squares which are highlighted in your color. If there are non-highlighted squares on your border, try to keep the sum around those squares low.