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 192°C heat to the field 2x5
What is the temperature (rounded to whole numbers) in the field 4x4 after 30 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)
| 6 | 9 | 12 | 13 | 13 | 14 | 13 | 12 | 9 | 5 |
| 9 | 16 | 21 | 23 | 24 | 24 | 23 | 21 | 16 | 8 |
| 12 | 23 | 33 | 35 | 34 | 33 | 31 | 27 | 20 | 11 |
| 17 | 41 | 63 | 59 | 49 | 42 | 37 | 32 | 23 | 12 |
| 31 | 79 | 138 | 101 | 70 | 53 | 43 | 35 | 26 | 13 |
| 46 | 131 | 330 | 154 | 88 | 60 | 47 | 38 | 27 | 14 |
| 38 | 90 | 149 | 111 | 78 | 58 | 46 | 37 | 26 | 13 |
| 26 | 55 | 78 | 72 | 59 | 48 | 40 | 33 | 23 | 11 |
| 16 | 31 | 43 | 43 | 39 | 34 | 29 | 24 | 17 | 8 |
| 8 | 15 | 19 | 21 | 19 | 18 | 15 | 12 | 8 | 4 |
Temperature in field 4x4 after 30 iterations:
