Consider a with 3 3 grid where each cell contains a number of coins; for example,
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Question:
Consider a with 3 × 3 grid where each cell contains a number of coins; for example, the following represents a possible configuration of coins on the grid (the integer in each cell is the number of coins in that cell):
12 | 3 | 1 |
1 | 8 | 4 |
2 | 13 | 0 |
This configuration is transformed in stages as follows: in each step, every cell sends a coin to all of its neighbors (horizontally or vertically, not diagonally), but if there aren’t enough coins in a cell to send one to each of its neighbors, it sends no coins at all. For example, the above would result in the following after one step:
11 | 2 | 3 |
4 | 7 | 2 |
1 | 12 | 2 |
Related Book For
Probability and Statistics
ISBN: 978-0321500465
4th edition
Authors: Morris H. DeGroot, Mark J. Schervish
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