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 163°C heat to the field 6x3
What is the temperature (rounded to whole numbers) in the field 1x0 after 106 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 | 5 | 6 | 6 | 7 | 9 | 13 | 12 | 8 | 4 |
| 5 | 8 | 10 | 11 | 15 | 27 | 41 | 33 | 21 | 10 |
| 6 | 10 | 13 | 17 | 30 | 63 | 107 | 71 | 39 | 18 |
| 6 | 11 | 15 | 22 | 46 | 109 | 272 | 117 | 55 | 23 |
| 7 | 12 | 16 | 23 | 41 | 76 | 120 | 82 | 47 | 21 |
| 7 | 12 | 16 | 21 | 32 | 48 | 62 | 52 | 35 | 17 |
| 7 | 12 | 15 | 19 | 25 | 32 | 38 | 34 | 24 | 13 |
| 6 | 10 | 14 | 16 | 19 | 23 | 25 | 23 | 17 | 9 |
| 5 | 8 | 10 | 12 | 14 | 15 | 16 | 14 | 11 | 6 |
| 2 | 4 | 5 | 6 | 7 | 8 | 8 | 7 | 5 | 3 |
Temperature in field 1x0 after 106 iterations:
