Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 10°C. We apply continuously 128°C heat to the field 1x2
What is the temperature (rounded to whole numbers) in the field 2x2 after 103 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
Field after 4 iterations (rounded after 4th iteration)
| 12 | 23 | 19 | 12 | 8 | 5 | 4 | 3 | 2 | 1 |
| 35 | 74 | 49 | 28 | 16 | 11 | 8 | 6 | 4 | 2 |
| 66 | 202 | 85 | 41 | 22 | 14 | 10 | 8 | 6 | 3 |
| 40 | 82 | 57 | 35 | 22 | 15 | 11 | 9 | 6 | 3 |
| 21 | 38 | 34 | 26 | 19 | 14 | 12 | 9 | 7 | 3 |
| 11 | 20 | 21 | 18 | 15 | 13 | 11 | 9 | 7 | 3 |
| 7 | 12 | 14 | 13 | 12 | 11 | 10 | 9 | 6 | 3 |
| 4 | 8 | 9 | 10 | 10 | 10 | 9 | 8 | 5 | 3 |
| 3 | 5 | 6 | 7 | 7 | 7 | 6 | 6 | 4 | 2 |
| 1 | 2 | 3 | 3 | 4 | 4 | 3 | 3 | 2 | 1 |
Temperature in field 2x2 after 103 iterations:
