At which board size is the first spot that leads to a draw if both players play perfect (size > 5x5)? Is such a starting move existing at all? These are some of the interesting questions behind this topic, let's see if we can find out...

. * * * .

* 1 X * *

* * * 2 *

* * * * *

. * * * .

...B..C

1 -5 -7

2 +6 +4

3 +6 +6

....B..;..C..;..D

1. - 7 ; - 7 ; - 7

2. - 9 ; +10 ; + 6

3. + 8 ; + 8 ; + 6

4. + 8 ; +12 ; + 8

For boards with a size > 7 brute force didn't work any more, here other techniques have to be used.

### < 3x3

**Impossible**because the corners aren't part of the game.### 3x3 to 5x5

**Draw**: At 3x3 and 4x4 there isn't an existing connection, that means even with the help of the opponent we can't win. 5x5 is the first little challenge. These games result in a draw because 'X 'can't connect to the top (and of course the same is valid for the mirrored position to come down), so the right answer for '1' is '2':. * * * .

* 1 X * *

* * * 2 *

* * * * *

. * * * .

### 6x6

This was evaluated with a computer program using brute force.**The sign shows who's winning (negative black, positive white)**if both play perfect and the numbers say in how many moves (not counting the first one already there). This number gives an additional finer grained estimation of the strength of a starting peg. The most neutral spots should be those with the biggest numbers. White is considered to be the winner if the first and/or second row is connected to the last and/or second last row, for black the same with colums....B..C

1 -5 -7

2 +6 +4

3 +6 +6

### 7x7

One of many "perfect games": 1. C4; 2. B4; 3. F4; 4. D4; 5. E3*; 6. D5*; 7. E6*; 8. F3*; 9. E5*; 10. D2*; 11. C2*; 12. C6* 13. D7*#....B..;..C..;..D

1. - 7 ; - 7 ; - 7

2. - 9 ; +10 ; + 6

3. + 8 ; + 8 ; + 6

4. + 8 ; +12 ; + 8

### 8x8

TODOFor boards with a size > 7 brute force didn't work any more, here other techniques have to be used.