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 200°C heat to the field 2x4
What is the temperature (rounded to whole numbers) in the field 6x4 after 53 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 | 4 | 5 | 5 | 5 | 4 | 4 | 3 | 1 |
| 3 | 8 | 14 | 14 | 12 | 10 | 8 | 7 | 5 | 3 |
| 8 | 25 | 44 | 37 | 25 | 18 | 13 | 10 | 7 | 3 |
| 22 | 65 | 121 | 80 | 46 | 27 | 18 | 12 | 8 | 4 |
| 37 | 119 | 321 | 135 | 65 | 35 | 21 | 14 | 9 | 5 |
| 29 | 77 | 134 | 91 | 54 | 33 | 21 | 15 | 10 | 5 |
| 18 | 42 | 63 | 53 | 38 | 27 | 19 | 14 | 9 | 5 |
| 11 | 23 | 32 | 31 | 25 | 20 | 15 | 12 | 8 | 4 |
| 6 | 12 | 16 | 17 | 15 | 13 | 11 | 8 | 6 | 3 |
| 3 | 5 | 7 | 8 | 7 | 6 | 5 | 4 | 3 | 1 |
Temperature in field 6x4 after 53 iterations:
