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 101°C heat to the field 6x5
What is the temperature (rounded to whole numbers) in the field 5x3 after 97 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 | 10 | 10 | 10 | 9 | 7 | 3 |
| 7 | 12 | 14 | 16 | 17 | 17 | 17 | 16 | 12 | 6 |
| 8 | 14 | 18 | 20 | 22 | 24 | 26 | 23 | 17 | 9 |
| 9 | 16 | 20 | 23 | 27 | 35 | 43 | 36 | 25 | 12 |
| 10 | 17 | 22 | 26 | 35 | 56 | 83 | 59 | 36 | 17 |
| 10 | 17 | 22 | 29 | 45 | 84 | 185 | 87 | 45 | 20 |
| 10 | 17 | 22 | 28 | 40 | 62 | 89 | 64 | 39 | 18 |
| 9 | 15 | 20 | 24 | 32 | 42 | 51 | 43 | 29 | 14 |
| 7 | 11 | 15 | 18 | 22 | 27 | 30 | 26 | 19 | 9 |
| 3 | 6 | 8 | 9 | 11 | 13 | 14 | 12 | 9 | 5 |
Temperature in field 5x3 after 97 iterations:
