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Xenosaga Episode I: Der Wille zur Macht/Poker (edit)
Revision as of 16:37, 27 August 2009
, 27 August 2009→Counting: cleanup
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;Total layouts | ;Total layouts | ||
<math>13\times13\times13\times13\times13 = | <math>13\times13\times13\times13\times13 = 371,293</math> | ||
Now, all that's left is to count the winning layouts. This is a bit more difficult, since a winning layout isn't readily visible through simple mathematical methods. However, something else that will give the same result in the end, would be to count the number of ''losing'' layouts. This is ''much'' easier to do, since the number of layouts that start with a losing combination, such as | Now, all that's left is to count the winning layouts. This is a bit more difficult, since a winning layout isn't readily visible through simple mathematical methods. However, something else that will give the same result in the end, would be to count the number of ''losing'' layouts. This is ''much'' easier to do, since the number of layouts that start with a losing combination, such as 10-Jack, can be determined and those subtracted off. | ||
This is done in four separate steps, since a losing layout can occur at any of the four decision points. However, once a layout is a loser, there is no point in checking it again – it has already lost. So, starting at the beginning, you need to find out how many layouts are losers after the first round. Then, the number of remaining layouts can be counted, and check ''only those'' to see if they lose in further rounds. | This is done in four separate steps, since a losing layout can occur at any of the four decision points. However, once a layout is a loser, there is no point in checking it again – it has already lost. So, starting at the beginning, you need to find out how many layouts are losers after the first round. Then, the number of remaining layouts can be counted, and check ''only those'' to see if they lose in further rounds. | ||