Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 13°C. We apply continuously 157°C heat to the field 3x4
What is the temperature (rounded to whole numbers) in the field 1x8 after 48 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 4 | 3 | 2 |
| 3 | 5 | 9 | 13 | 13 | 12 | 10 | 8 | 6 | 3 |
| 4 | 10 | 23 | 37 | 32 | 23 | 16 | 12 | 8 | 4 |
| 7 | 22 | 55 | 99 | 66 | 40 | 24 | 16 | 10 | 5 |
| 10 | 36 | 98 | 256 | 109 | 54 | 30 | 19 | 12 | 6 |
| 10 | 30 | 65 | 109 | 75 | 46 | 29 | 19 | 12 | 6 |
| 8 | 20 | 38 | 53 | 46 | 34 | 24 | 17 | 11 | 5 |
| 6 | 13 | 22 | 29 | 28 | 23 | 18 | 14 | 9 | 5 |
| 4 | 8 | 13 | 16 | 16 | 15 | 12 | 9 | 6 | 3 |
| 2 | 4 | 6 | 7 | 7 | 7 | 6 | 5 | 3 | 2 |
Temperature in field 1x8 after 48 iterations:
