Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 13°C. We apply continuously 170°C heat to the field 5x2
What is the temperature (rounded to whole numbers) in the field 8x3 after 105 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 3 | 4 | 8 | 20 | 33 | 26 | 16 | 9 | 4 |
| 3 | 5 | 9 | 23 | 57 | 103 | 67 | 37 | 19 | 8 |
| 4 | 7 | 15 | 40 | 105 | 275 | 115 | 54 | 27 | 11 |
| 4 | 8 | 16 | 34 | 71 | 117 | 79 | 47 | 26 | 12 |
| 4 | 8 | 14 | 25 | 42 | 58 | 49 | 34 | 21 | 10 |
| 4 | 8 | 12 | 18 | 26 | 33 | 30 | 24 | 16 | 8 |
| 4 | 8 | 11 | 14 | 18 | 21 | 21 | 18 | 13 | 6 |
| 4 | 7 | 9 | 11 | 13 | 15 | 15 | 13 | 9 | 5 |
| 3 | 5 | 7 | 8 | 9 | 10 | 10 | 8 | 6 | 3 |
| 2 | 3 | 3 | 4 | 5 | 5 | 5 | 4 | 3 | 2 |
Temperature in field 8x3 after 105 iterations:
