Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 20°C. We apply continuously 199°C heat to the field 3x2
What is the temperature (rounded to whole numbers) in the field 5x6 after 80 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 9 | 24 | 40 | 32 | 21 | 14 | 9 | 6 | 3 |
| 8 | 27 | 68 | 122 | 81 | 47 | 28 | 18 | 11 | 5 |
| 14 | 46 | 125 | 325 | 139 | 69 | 39 | 24 | 15 | 7 |
| 14 | 39 | 84 | 140 | 97 | 60 | 38 | 25 | 16 | 8 |
| 11 | 28 | 51 | 70 | 61 | 46 | 34 | 24 | 16 | 8 |
| 9 | 20 | 32 | 41 | 40 | 34 | 28 | 22 | 15 | 8 |
| 8 | 15 | 23 | 27 | 28 | 27 | 24 | 20 | 14 | 7 |
| 7 | 12 | 17 | 20 | 21 | 21 | 19 | 16 | 12 | 6 |
| 5 | 9 | 11 | 13 | 14 | 14 | 14 | 12 | 8 | 4 |
| 2 | 4 | 6 | 7 | 7 | 7 | 7 | 6 | 4 | 2 |
Temperature in field 5x6 after 80 iterations:
