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 121°C heat to the field 2x1
What is the temperature (rounded to whole numbers) in the field 1x9 after 64 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)
| 15 | 40 | 72 | 48 | 30 | 21 | 16 | 13 | 10 | 5 |
| 29 | 82 | 206 | 94 | 54 | 37 | 29 | 23 | 17 | 9 |
| 27 | 61 | 99 | 76 | 55 | 43 | 36 | 29 | 21 | 11 |
| 21 | 43 | 60 | 57 | 50 | 43 | 38 | 33 | 24 | 12 |
| 18 | 33 | 44 | 46 | 45 | 42 | 39 | 34 | 25 | 13 |
| 16 | 28 | 37 | 41 | 41 | 41 | 39 | 34 | 26 | 13 |
| 14 | 25 | 33 | 37 | 38 | 39 | 37 | 33 | 25 | 13 |
| 12 | 22 | 28 | 32 | 33 | 34 | 33 | 29 | 21 | 11 |
| 9 | 16 | 21 | 23 | 25 | 25 | 25 | 21 | 15 | 8 |
| 5 | 8 | 11 | 12 | 13 | 13 | 13 | 11 | 8 | 4 |
Temperature in field 1x9 after 64 iterations:
