Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 25°C. We apply continuously 185°C heat to the field 7x1
What is the temperature (rounded to whole numbers) in the field 2x1 after 96 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 6 | 7 | 8 | 11 | 24 | 55 | 99 | 59 | 25 |
| 6 | 10 | 12 | 15 | 22 | 47 | 116 | 297 | 119 | 45 |
| 7 | 12 | 16 | 18 | 26 | 45 | 83 | 130 | 83 | 38 |
| 8 | 14 | 18 | 20 | 26 | 37 | 54 | 68 | 52 | 27 |
| 8 | 15 | 19 | 21 | 25 | 31 | 38 | 42 | 34 | 19 |
| 8 | 15 | 19 | 22 | 24 | 27 | 30 | 30 | 25 | 14 |
| 8 | 15 | 19 | 21 | 23 | 25 | 26 | 24 | 19 | 10 |
| 8 | 13 | 17 | 19 | 20 | 21 | 22 | 20 | 15 | 8 |
| 6 | 10 | 13 | 14 | 15 | 16 | 16 | 14 | 10 | 5 |
| 3 | 5 | 7 | 7 | 8 | 8 | 8 | 7 | 5 | 3 |
Temperature in field 2x1 after 96 iterations:
