QUADRAPHAGES

Startup:

a b c d e f g h i  
. . O . . . . . .  1.  
. . . . . . . . .  2.  
. . . . . . . . X  3.
. . . . . . . . .  4.
. . . . . . . . .  5.  
. . . . . . . . .  6.  
X . . . . . . . .  7.  
. . . . . . . . .  8.
. . . . . . O . .  9.

In each turn a player (a) moves his stones rookwise, the previous # of cells;
                      (b) announces a new number (between 1 and 8);
                      (c) moves his stones the new number of cells.

When a stone leaves a cell, it marks it with its own colour.
A stone may not land on a marked or occupied cell, or leave the board.
Given a number, stone must move if it can; if not, it remains stationary.
If possible, a player must choose a number that allows at least one stone
to move.

Intervening own-pieces or marks of either type do not block a move,
but opponent pieces do.  The first turn begins with operation (b) & (c) only.


The game stops when all four stones in succession fail to move; then...
the winner is whoever has the most marked cells.
"""""""""""""""""""""""""""""""""""""""""""""""

Game Sample
               _xx_                         _oo_
1.  ....  ....  1  a7a8  i3i2    c1c2  g9g8  3  c2f2  g8d8
2.  a8a5  i2i5  3  a5a2  i5i8    f2f5  d2d5  2  d5b5  f5f7
3.  a2a4  i8i6  7  i6b6  a4h4    ----  ----  3  b5e5  f7f4
4.  i6i9  a4a1  8  a1i1  i9a9    ----  ----  4  e5e1  f4f8
5.  ----  a9e9  6  i1i7  e9e3    ----  ----  3  e1h1  f8c8
6.  e3h3  i7i4  1  i4h4  h3h2    h1g1  c8c7  5  c7h7  g1b1
7.  ----  h4c4  4  h2h6  c4g4    h7d7  b1f1  5  f1f6  d7d2
8.  ----  g4b4  1  h6g6  b4b3    d2d3  f6e6  2  d3f3  e6c6
9.  ----  ----  4  g6g2  b3b7    ----  ----  3  f3c3  c6c9
10. g2g5  b7e7  1  e7e8  g5h5    c9d9  ----  2  c3a3  d9f9
11. ----  ----  6  ----  e8e2    a3g3  ----  4  g3g7  f9b9
12. ----  h5h9  2  ----  e2e4    ----  ----  1  b9b8  ----
13. h9h8  e4d4  3  ----  d4d6  and wins 40-39

Final Position:

a b c d e f g h i  
x o o . o o o o x  1.  
x . o o x o x x x  2.  
o x o o x o o x x  3.
x x x x x o x x x  4.
x o . o o o x x x  5.  
. . o X o o x x x  6.  
x x o o x o O o x  7.  
x O o o x o o X x  8.
x o o o x o o x x  9.    

This game can also be played on a hex-board. It has less
possible directions, so it's easier for a player to control
where the adversary may go, when the board starts to get full.

HEXAPHAGE
========= (numbers up to 6)  Rules as for quadraphage.

               _oo_                         _xx_
1.  ....  ....     ....  ....    ....  ....  1  j5h5  d3e4
2.  g2f3  g6f5  1  f5d5  f3g4    h5i4  e4c4  3  c4f1  i4f7
3.  ----  g4m4  4  d5l5  m4j1    f7b3  f1b5  4  ----  b3j3
4.  ----  ----  3  j1d1  ----    ----  b5e2  1  e2c2  j3k4
5.  ----  l5k6  3  k6e6  d1a4    k4h1  c2i2  5  ----  h1c6
6.  ----  ----  2  ----  e6i6    ----  ----  1  c6d7  i2k2
7.  resign

Final Position:

 abcdefghijklm  
    o x x o    1
   x x o x X   2
  x x o . x .  3
 O x x o x x o 4
  x o o x x o  5
   x o o O o   6
    X x . .    7
 abcdefghijklm