Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 29°C. We apply continuously 75°C heat to the field 5x3
What is the temperature (rounded to whole numbers) in the field 8x4 after 74 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
Field after 4 iterations (rounded after 4th iteration)
| 4 | 7 | 8 | 9 | 11 | 13 | 12 | 10 | 8 | 4 |
| 7 | 12 | 14 | 18 | 24 | 31 | 27 | 21 | 15 | 7 |
| 8 | 14 | 19 | 28 | 43 | 64 | 48 | 33 | 21 | 10 |
| 9 | 16 | 23 | 36 | 67 | 142 | 71 | 42 | 25 | 12 |
| 10 | 17 | 24 | 35 | 52 | 73 | 56 | 40 | 26 | 13 |
| 10 | 17 | 24 | 31 | 40 | 47 | 43 | 34 | 24 | 12 |
| 10 | 17 | 23 | 28 | 32 | 36 | 34 | 29 | 21 | 11 |
| 9 | 15 | 20 | 23 | 26 | 28 | 27 | 24 | 17 | 9 |
| 7 | 11 | 15 | 17 | 19 | 20 | 19 | 17 | 12 | 6 |
| 3 | 6 | 8 | 9 | 10 | 10 | 10 | 8 | 6 | 3 |
Temperature in field 8x4 after 74 iterations:
