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 67°C heat to the field 3x8
What is the temperature (rounded to whole numbers) in the field 8x0 after 48 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 | 9 | 10 | 10 | 10 | 10 | 9 | 7 | 4 |
| 7 | 12 | 15 | 17 | 17 | 18 | 17 | 16 | 12 | 6 |
| 9 | 15 | 19 | 21 | 22 | 23 | 22 | 20 | 15 | 8 |
| 10 | 17 | 21 | 24 | 25 | 26 | 25 | 23 | 17 | 9 |
| 10 | 17 | 22 | 25 | 27 | 28 | 27 | 24 | 18 | 10 |
| 10 | 18 | 24 | 28 | 30 | 30 | 29 | 25 | 19 | 10 |
| 10 | 19 | 29 | 37 | 36 | 33 | 30 | 26 | 19 | 10 |
| 10 | 22 | 40 | 60 | 47 | 37 | 30 | 24 | 17 | 8 |
| 9 | 24 | 52 | 120 | 58 | 36 | 25 | 19 | 13 | 6 |
| 6 | 14 | 27 | 44 | 31 | 20 | 14 | 10 | 7 | 3 |
Temperature in field 8x0 after 48 iterations:
