Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 27°C. We apply continuously 111°C heat to the field 1x2
What is the temperature (rounded to whole numbers) in the field 5x7 after 136 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
Field after 4 iterations (rounded after 4th iteration)
| 13 | 24 | 22 | 17 | 13 | 11 | 10 | 8 | 6 | 3 |
| 34 | 71 | 51 | 34 | 25 | 20 | 17 | 15 | 11 | 6 |
| 63 | 184 | 85 | 48 | 33 | 26 | 23 | 19 | 14 | 7 |
| 41 | 81 | 62 | 45 | 35 | 29 | 25 | 22 | 16 | 8 |
| 24 | 43 | 43 | 38 | 33 | 29 | 26 | 23 | 17 | 9 |
| 16 | 28 | 32 | 32 | 30 | 28 | 26 | 23 | 17 | 9 |
| 12 | 21 | 25 | 27 | 27 | 27 | 26 | 22 | 17 | 9 |
| 9 | 16 | 20 | 23 | 23 | 23 | 23 | 20 | 14 | 7 |
| 7 | 11 | 15 | 16 | 17 | 17 | 17 | 14 | 10 | 5 |
| 3 | 6 | 8 | 8 | 9 | 9 | 9 | 7 | 5 | 3 |
Temperature in field 5x7 after 136 iterations:
