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 101°C heat to the field 3x4
What is the temperature (rounded to whole numbers) in the field 5x9 after 71 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 | 12 | 13 | 14 | 14 | 14 | 12 | 9 | 5 |
| 9 | 16 | 21 | 26 | 27 | 26 | 25 | 22 | 16 | 8 |
| 12 | 22 | 35 | 46 | 44 | 39 | 34 | 29 | 21 | 11 |
| 14 | 32 | 58 | 89 | 69 | 53 | 42 | 34 | 24 | 13 |
| 17 | 41 | 87 | 191 | 99 | 64 | 48 | 38 | 27 | 14 |
| 17 | 38 | 66 | 97 | 77 | 59 | 48 | 38 | 27 | 14 |
| 16 | 32 | 48 | 61 | 58 | 51 | 44 | 37 | 26 | 13 |
| 13 | 25 | 35 | 42 | 43 | 41 | 37 | 32 | 23 | 11 |
| 10 | 18 | 24 | 28 | 30 | 29 | 27 | 23 | 16 | 8 |
| 5 | 9 | 12 | 14 | 15 | 15 | 14 | 12 | 8 | 4 |
Temperature in field 5x9 after 71 iterations:
