Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 38°C. We apply continuously 87°C heat to the field 3x8
What is the temperature (rounded to whole numbers) in the field 0x1 after 122 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
Field after 4 iterations (rounded after 4th iteration)
| 5 | 9 | 11 | 12 | 13 | 13 | 13 | 11 | 9 | 4 |
| 9 | 15 | 19 | 21 | 22 | 23 | 22 | 20 | 15 | 8 |
| 11 | 19 | 24 | 27 | 28 | 29 | 28 | 25 | 19 | 10 |
| 12 | 21 | 27 | 30 | 32 | 33 | 32 | 29 | 22 | 11 |
| 13 | 22 | 28 | 32 | 34 | 35 | 34 | 31 | 23 | 12 |
| 13 | 23 | 30 | 36 | 38 | 38 | 36 | 32 | 24 | 13 |
| 13 | 24 | 37 | 48 | 46 | 42 | 38 | 33 | 24 | 12 |
| 13 | 28 | 51 | 77 | 61 | 47 | 38 | 30 | 21 | 11 |
| 12 | 30 | 67 | 156 | 75 | 46 | 32 | 24 | 16 | 8 |
| 7 | 18 | 35 | 57 | 40 | 26 | 18 | 13 | 8 | 4 |
Temperature in field 0x1 after 122 iterations:
