Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 30°C. We apply continuously 109°C heat to the field 3x4
What is the temperature (rounded to whole numbers) in the field 1x0 after 99 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
Field after 4 iterations (rounded after 4th iteration)
| 4 | 7 | 9 | 10 | 11 | 11 | 10 | 9 | 7 | 4 |
| 7 | 12 | 17 | 21 | 22 | 20 | 19 | 16 | 12 | 6 |
| 9 | 17 | 29 | 41 | 38 | 32 | 27 | 22 | 16 | 8 |
| 11 | 27 | 53 | 85 | 63 | 45 | 35 | 27 | 19 | 10 |
| 14 | 37 | 84 | 196 | 95 | 57 | 40 | 30 | 21 | 11 |
| 14 | 33 | 61 | 94 | 71 | 52 | 40 | 31 | 21 | 11 |
| 13 | 26 | 42 | 55 | 51 | 43 | 36 | 29 | 20 | 10 |
| 10 | 20 | 29 | 36 | 36 | 33 | 30 | 25 | 17 | 9 |
| 7 | 14 | 19 | 23 | 24 | 23 | 21 | 18 | 12 | 6 |
| 4 | 7 | 10 | 11 | 12 | 12 | 11 | 9 | 6 | 3 |
Temperature in field 1x0 after 99 iterations:
