Greedy Counterexample for Dominos

domino_counter_example.txt

Initial positions

Player A:
[0-5] [1-3] [1-4] [2-2] [3-4] [4-4] [5-6]
Player B:
[0-0] [0-1] [0-6] [1-1] [1-6] [2-3] [2-6]
Player C:
[0-2] [2-4] [2-5] [3-3] [3-6] [4-5] [4-6]
Player D:
[0-3] [0-4] [1-2] [1-5] [3-5] [5-5] [6-6]

Round Player A  Player B  Player C  Player D
1     ----      [1-1]     pass      [1-5]
2     [1-4]     pass      [4-5]     [0-4]
3     [0-5]     pass      [2-5]     [1-2]
4     [4-4]     [0-1]     [0-2]     pass
5     [2-2]     [2-6]     [3-6]*    [0-3]
6     [3-4]     [2-3]     [2-4]     pass
7     [5-6]     [0-6]     pass      [5-5]
8     pass      [1-6]
Here are the same hands played differently. Now Players A and C lost by 10 points when player B dominoed. The critical move (*) was playing [3-6] instead of [4-6].

Round Player A  Player B  Player C  Player D
1     ----      [1-1]     pass      [1-5]
2     [1-4]     pass      [4-5]     [0-4]
3     [0-5]     pass      [2-5]     [1-2]
4     [4-4]     [0-1]     [0-2]     pass
5     [2-2]     [2-6]     [4-6]     pass
6     [3-4]     [2-3]     [2-4]     Blocked
Partners A and C made 46 points.

Commentary taken from https://www.pagat.com/tile/wdom/partnership.html and the example is from International Dominoes by Anderson, et al.