Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 38°C. We apply continuously 100°C heat to the field 1x3
What is the temperature (rounded to whole numbers) in the field 2x0 after 109 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
| 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
Field after 4 iterations (rounded after 4th iteration)
| 7 | 13 | 15 | 14 | 14 | 14 | 13 | 12 | 9 | 4 |
| 17 | 33 | 33 | 29 | 26 | 24 | 23 | 20 | 15 | 8 |
| 36 | 74 | 59 | 45 | 37 | 33 | 30 | 26 | 19 | 10 |
| 62 | 175 | 88 | 57 | 44 | 38 | 34 | 30 | 22 | 12 |
| 42 | 82 | 67 | 53 | 45 | 40 | 36 | 32 | 24 | 12 |
| 27 | 48 | 50 | 46 | 42 | 40 | 37 | 32 | 24 | 13 |
| 19 | 33 | 39 | 40 | 39 | 38 | 36 | 32 | 23 | 12 |
| 14 | 24 | 30 | 33 | 33 | 33 | 32 | 28 | 20 | 10 |
| 10 | 17 | 21 | 24 | 25 | 25 | 24 | 20 | 15 | 7 |
| 5 | 8 | 11 | 12 | 13 | 13 | 12 | 10 | 7 | 4 |
Temperature in field 2x0 after 109 iterations:
