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 178°C heat to the field 5x8
What is the temperature (rounded to whole numbers) in the field 4x7 after 125 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 | 7 | 7 | 6 | 5 | 2 |
| 5 | 8 | 10 | 11 | 12 | 12 | 12 | 10 | 8 | 4 |
| 6 | 10 | 13 | 14 | 15 | 15 | 15 | 13 | 10 | 5 |
| 6 | 11 | 14 | 16 | 17 | 17 | 17 | 15 | 11 | 6 |
| 7 | 12 | 15 | 17 | 18 | 19 | 19 | 17 | 13 | 7 |
| 7 | 12 | 15 | 17 | 21 | 26 | 25 | 21 | 15 | 8 |
| 7 | 12 | 15 | 21 | 35 | 50 | 43 | 31 | 20 | 9 |
| 6 | 10 | 16 | 32 | 68 | 116 | 78 | 46 | 25 | 11 |
| 5 | 9 | 17 | 43 | 110 | 286 | 119 | 55 | 26 | 11 |
| 2 | 5 | 11 | 27 | 58 | 101 | 63 | 33 | 17 | 7 |
Temperature in field 4x7 after 125 iterations:
