Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 21°C. We apply continuously 145°C heat to the field 5x7
What is the temperature (rounded to whole numbers) in the field 5x1 after 57 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 |
| 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 |
| 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 |
| 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 |
| 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 |
| 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 |
| 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 |
| 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 |
| 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 |
| 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 6 | 5 | 2 |
| 5 | 8 | 10 | 12 | 12 | 12 | 12 | 11 | 8 | 4 |
| 6 | 10 | 13 | 15 | 16 | 16 | 16 | 14 | 11 | 6 |
| 7 | 12 | 15 | 17 | 18 | 19 | 18 | 16 | 12 | 6 |
| 7 | 12 | 16 | 18 | 21 | 25 | 24 | 21 | 15 | 8 |
| 7 | 12 | 16 | 21 | 33 | 46 | 40 | 29 | 19 | 9 |
| 7 | 12 | 18 | 32 | 61 | 101 | 70 | 43 | 25 | 12 |
| 6 | 12 | 20 | 42 | 99 | 244 | 107 | 54 | 28 | 12 |
| 5 | 9 | 16 | 32 | 63 | 102 | 70 | 41 | 23 | 10 |
| 2 | 5 | 9 | 17 | 29 | 40 | 33 | 21 | 12 | 6 |
Temperature in field 5x1 after 57 iterations:
