Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 12°C. We apply continuously 187°C heat to the field 1x3
What is the temperature (rounded to whole numbers) in the field 3x7 after 37 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
Field after 4 iterations (rounded after 4th iteration)
| 5 | 10 | 10 | 8 | 6 | 5 | 4 | 4 | 3 | 1 |
| 19 | 38 | 32 | 22 | 15 | 11 | 9 | 7 | 5 | 3 |
| 51 | 109 | 72 | 42 | 25 | 16 | 12 | 9 | 7 | 3 |
| 97 | 294 | 123 | 59 | 32 | 20 | 14 | 11 | 8 | 4 |
| 58 | 119 | 82 | 50 | 31 | 21 | 15 | 12 | 8 | 4 |
| 30 | 54 | 48 | 36 | 25 | 19 | 15 | 12 | 8 | 4 |
| 15 | 27 | 28 | 24 | 20 | 16 | 14 | 11 | 8 | 4 |
| 8 | 15 | 17 | 16 | 15 | 13 | 12 | 10 | 7 | 3 |
| 5 | 8 | 10 | 10 | 10 | 9 | 8 | 7 | 5 | 2 |
| 2 | 4 | 5 | 5 | 5 | 5 | 4 | 4 | 2 | 1 |
Temperature in field 3x7 after 37 iterations:
