Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 40°C. We apply continuously 153°C heat to the field 4x2
What is the temperature (rounded to whole numbers) in the field 8x8 after 106 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
Field after 4 iterations (rounded after 4th iteration)
| 6 | 9 | 15 | 27 | 39 | 33 | 24 | 17 | 12 | 6 |
| 9 | 18 | 35 | 67 | 109 | 77 | 50 | 34 | 21 | 10 |
| 12 | 26 | 53 | 114 | 269 | 126 | 71 | 45 | 28 | 14 |
| 14 | 28 | 50 | 85 | 129 | 96 | 67 | 47 | 31 | 15 |
| 14 | 27 | 42 | 61 | 77 | 70 | 57 | 44 | 31 | 16 |
| 14 | 26 | 37 | 47 | 55 | 54 | 49 | 41 | 29 | 15 |
| 14 | 24 | 33 | 40 | 44 | 45 | 42 | 37 | 27 | 14 |
| 12 | 21 | 28 | 33 | 36 | 37 | 36 | 31 | 22 | 11 |
| 9 | 16 | 21 | 24 | 26 | 27 | 26 | 22 | 16 | 8 |
| 5 | 8 | 11 | 12 | 13 | 14 | 13 | 11 | 8 | 4 |
Temperature in field 8x8 after 106 iterations:
