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 98°C heat to the field 4x5
What is the temperature (rounded to whole numbers) in the field 8x7 after 54 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 | 20 | 22 | 24 | 24 | 24 | 21 | 16 | 8 |
| 12 | 20 | 25 | 30 | 34 | 34 | 32 | 28 | 21 | 11 |
| 13 | 22 | 30 | 41 | 51 | 48 | 42 | 34 | 25 | 13 |
| 13 | 25 | 39 | 62 | 91 | 71 | 54 | 41 | 28 | 14 |
| 14 | 28 | 48 | 89 | 190 | 99 | 63 | 45 | 30 | 15 |
| 14 | 27 | 44 | 68 | 97 | 76 | 58 | 43 | 29 | 15 |
| 12 | 23 | 35 | 48 | 59 | 54 | 46 | 36 | 25 | 12 |
| 9 | 17 | 24 | 31 | 36 | 36 | 32 | 26 | 18 | 9 |
| 5 | 9 | 12 | 15 | 17 | 18 | 16 | 13 | 9 | 4 |
Temperature in field 8x7 after 54 iterations:
