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 150°C heat to the field 7x5
What is the temperature (rounded to whole numbers) in the field 5x7 after 69 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 | 3 | 1 |
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 7 | 5 | 3 |
| 3 | 6 | 8 | 8 | 9 | 9 | 11 | 14 | 12 | 7 |
| 4 | 7 | 8 | 9 | 10 | 14 | 24 | 36 | 28 | 14 |
| 4 | 7 | 9 | 10 | 13 | 25 | 55 | 94 | 59 | 27 |
| 4 | 7 | 9 | 11 | 17 | 38 | 96 | 244 | 100 | 39 |
| 4 | 7 | 9 | 11 | 16 | 32 | 64 | 103 | 66 | 31 |
| 4 | 6 | 8 | 10 | 13 | 22 | 37 | 49 | 38 | 20 |
| 3 | 5 | 6 | 7 | 9 | 14 | 20 | 24 | 20 | 11 |
| 1 | 2 | 3 | 4 | 5 | 7 | 9 | 10 | 9 | 5 |
Temperature in field 5x7 after 69 iterations:
