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 184°C heat to the field 2x3
What is the temperature (rounded to whole numbers) in the field 9x7 after 99 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 | 12 | 19 | 19 | 18 | 16 | 14 | 13 | 9 | 5 |
| 14 | 33 | 53 | 48 | 38 | 31 | 27 | 22 | 16 | 8 |
| 28 | 73 | 129 | 93 | 63 | 46 | 37 | 30 | 21 | 11 |
| 44 | 125 | 316 | 146 | 83 | 56 | 43 | 34 | 25 | 13 |
| 37 | 87 | 144 | 107 | 76 | 57 | 45 | 37 | 26 | 14 |
| 27 | 56 | 80 | 74 | 62 | 52 | 44 | 37 | 27 | 14 |
| 20 | 38 | 52 | 54 | 50 | 46 | 41 | 35 | 26 | 13 |
| 15 | 28 | 36 | 40 | 40 | 38 | 36 | 30 | 22 | 11 |
| 10 | 19 | 24 | 27 | 28 | 28 | 26 | 22 | 16 | 8 |
| 5 | 9 | 12 | 14 | 14 | 14 | 13 | 11 | 8 | 4 |
Temperature in field 9x7 after 99 iterations:
