Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 30°C. We apply continuously 123°C heat to the field 3x3
What is the temperature (rounded to whole numbers) in the field 2x0 after 40 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
Field after 4 iterations (rounded after 4th iteration)
| 4 | 7 | 11 | 14 | 14 | 13 | 12 | 10 | 7 | 4 |
| 7 | 15 | 27 | 39 | 35 | 28 | 23 | 18 | 13 | 7 |
| 11 | 27 | 55 | 90 | 66 | 45 | 33 | 25 | 17 | 9 |
| 14 | 39 | 90 | 216 | 102 | 59 | 40 | 29 | 20 | 10 |
| 14 | 35 | 66 | 102 | 76 | 54 | 40 | 31 | 21 | 11 |
| 13 | 28 | 45 | 59 | 54 | 45 | 37 | 30 | 21 | 11 |
| 12 | 23 | 33 | 40 | 40 | 37 | 33 | 28 | 20 | 10 |
| 10 | 18 | 25 | 29 | 31 | 30 | 28 | 24 | 17 | 9 |
| 7 | 13 | 17 | 20 | 21 | 21 | 20 | 17 | 12 | 6 |
| 4 | 7 | 9 | 10 | 11 | 11 | 10 | 9 | 6 | 3 |
Temperature in field 2x0 after 40 iterations:
