Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 18°C. We apply continuously 135°C heat to the field 7x4
What is the temperature (rounded to whole numbers) in the field 0x3 after 86 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 4 | 5 | 6 | 6 | 6 | 6 | 6 | 5 | 3 |
| 4 | 7 | 9 | 10 | 10 | 11 | 13 | 15 | 12 | 7 |
| 5 | 9 | 11 | 13 | 13 | 17 | 26 | 36 | 28 | 14 |
| 6 | 10 | 13 | 14 | 17 | 28 | 55 | 90 | 57 | 26 |
| 6 | 10 | 13 | 16 | 21 | 41 | 92 | 225 | 94 | 37 |
| 6 | 11 | 14 | 16 | 22 | 36 | 64 | 99 | 64 | 30 |
| 6 | 10 | 13 | 16 | 19 | 28 | 41 | 51 | 39 | 20 |
| 5 | 9 | 12 | 14 | 16 | 21 | 26 | 29 | 23 | 13 |
| 4 | 7 | 9 | 10 | 12 | 14 | 16 | 16 | 13 | 7 |
| 2 | 4 | 5 | 5 | 6 | 7 | 8 | 8 | 6 | 3 |
Temperature in field 0x3 after 86 iterations:
