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 160°C heat to the field 8x2
What is the temperature (rounded to whole numbers) in the field 9x8 after 108 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 | 14 | 24 | 33 | 20 |
| 7 | 12 | 15 | 17 | 17 | 20 | 33 | 62 | 99 | 52 |
| 9 | 15 | 19 | 21 | 23 | 29 | 51 | 109 | 261 | 92 |
| 10 | 17 | 21 | 24 | 26 | 32 | 48 | 78 | 113 | 60 |
| 10 | 17 | 22 | 25 | 27 | 31 | 40 | 52 | 58 | 35 |
| 10 | 18 | 23 | 26 | 28 | 30 | 34 | 38 | 36 | 21 |
| 10 | 17 | 22 | 25 | 27 | 29 | 30 | 30 | 26 | 15 |
| 9 | 16 | 20 | 23 | 24 | 25 | 26 | 24 | 19 | 10 |
| 7 | 12 | 15 | 17 | 18 | 19 | 19 | 17 | 13 | 7 |
| 4 | 6 | 8 | 9 | 10 | 10 | 10 | 8 | 6 | 3 |
Temperature in field 9x8 after 108 iterations:
