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 179°C heat to the field 7x4
What is the temperature (rounded to whole numbers) in the field 4x6 after 56 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)
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 2 |
| 3 | 5 | 6 | 7 | 7 | 7 | 10 | 13 | 11 | 6 |
| 3 | 6 | 8 | 8 | 9 | 13 | 26 | 40 | 31 | 16 |
| 4 | 7 | 8 | 9 | 13 | 27 | 62 | 110 | 69 | 31 |
| 4 | 7 | 9 | 11 | 18 | 43 | 112 | 289 | 117 | 45 |
| 4 | 7 | 9 | 11 | 18 | 36 | 74 | 121 | 78 | 36 |
| 4 | 7 | 9 | 11 | 15 | 26 | 43 | 58 | 45 | 23 |
| 4 | 6 | 8 | 9 | 12 | 17 | 25 | 30 | 25 | 14 |
| 3 | 5 | 6 | 7 | 8 | 11 | 14 | 16 | 13 | 7 |
| 1 | 2 | 3 | 4 | 4 | 5 | 6 | 7 | 6 | 3 |
Temperature in field 4x6 after 56 iterations:
