Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 25°C. We apply continuously 197°C heat to the field 2x7
What is the temperature (rounded to whole numbers) in the field 4x5 after 68 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 6 | 7 | 8 | 8 | 8 | 8 | 8 | 6 | 3 |
| 6 | 10 | 12 | 14 | 15 | 15 | 15 | 13 | 10 | 5 |
| 7 | 12 | 16 | 18 | 19 | 19 | 19 | 17 | 13 | 7 |
| 8 | 14 | 18 | 21 | 22 | 22 | 21 | 19 | 14 | 7 |
| 8 | 18 | 26 | 28 | 27 | 25 | 24 | 21 | 15 | 8 |
| 13 | 34 | 54 | 49 | 39 | 32 | 27 | 22 | 16 | 8 |
| 26 | 72 | 129 | 90 | 58 | 40 | 30 | 24 | 17 | 8 |
| 40 | 123 | 324 | 141 | 73 | 44 | 31 | 22 | 15 | 7 |
| 30 | 77 | 133 | 91 | 56 | 36 | 25 | 17 | 11 | 5 |
| 15 | 35 | 52 | 43 | 29 | 20 | 14 | 9 | 6 | 3 |
Temperature in field 4x5 after 68 iterations:
