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 162°C heat to the field 1x4
What is the temperature (rounded to whole numbers) in the field 5x3 after 68 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 | 7 | 7 | 7 | 7 | 7 | 6 | 5 | 2 |
| 7 | 14 | 16 | 15 | 14 | 13 | 12 | 11 | 8 | 4 |
| 20 | 39 | 35 | 27 | 22 | 18 | 16 | 14 | 10 | 5 |
| 48 | 100 | 70 | 45 | 31 | 23 | 20 | 16 | 12 | 6 |
| 87 | 261 | 114 | 60 | 37 | 27 | 22 | 18 | 13 | 7 |
| 54 | 109 | 79 | 52 | 36 | 27 | 22 | 18 | 13 | 7 |
| 29 | 52 | 49 | 39 | 30 | 25 | 21 | 18 | 13 | 7 |
| 16 | 28 | 30 | 27 | 24 | 21 | 19 | 16 | 11 | 6 |
| 9 | 15 | 18 | 18 | 17 | 15 | 14 | 11 | 8 | 4 |
| 4 | 7 | 8 | 9 | 8 | 8 | 7 | 6 | 4 | 2 |
Temperature in field 5x3 after 68 iterations:
