Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 23°C. We apply continuously 180°C heat to the field 7x5
What is the temperature (rounded to whole numbers) in the field 1x4 after 89 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 5 | 7 | 7 | 8 | 8 | 8 | 7 | 5 | 3 |
| 5 | 9 | 11 | 13 | 13 | 14 | 13 | 13 | 10 | 5 |
| 7 | 11 | 14 | 16 | 17 | 17 | 20 | 23 | 18 | 10 |
| 7 | 13 | 16 | 18 | 19 | 24 | 37 | 50 | 38 | 20 |
| 8 | 13 | 17 | 19 | 23 | 38 | 73 | 120 | 76 | 35 |
| 8 | 14 | 17 | 20 | 28 | 54 | 123 | 300 | 125 | 49 |
| 8 | 13 | 17 | 20 | 27 | 46 | 84 | 131 | 85 | 39 |
| 7 | 12 | 15 | 18 | 23 | 34 | 51 | 65 | 50 | 26 |
| 5 | 9 | 12 | 14 | 16 | 22 | 29 | 33 | 27 | 15 |
| 3 | 5 | 6 | 7 | 8 | 11 | 13 | 14 | 12 | 7 |
Temperature in field 1x4 after 89 iterations:
