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 82°C heat to the field 4x3
What is the temperature (rounded to whole numbers) in the field 5x7 after 120 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)
| 5 | 9 | 11 | 13 | 16 | 16 | 15 | 12 | 9 | 5 |
| 9 | 15 | 21 | 29 | 37 | 34 | 29 | 23 | 17 | 8 |
| 11 | 20 | 32 | 51 | 74 | 58 | 43 | 32 | 22 | 11 |
| 12 | 24 | 41 | 76 | 160 | 84 | 54 | 39 | 26 | 13 |
| 13 | 25 | 40 | 61 | 85 | 68 | 52 | 40 | 27 | 14 |
| 13 | 25 | 36 | 47 | 57 | 53 | 46 | 38 | 27 | 14 |
| 13 | 23 | 32 | 39 | 44 | 44 | 41 | 35 | 25 | 13 |
| 12 | 20 | 27 | 32 | 35 | 36 | 34 | 30 | 21 | 11 |
| 9 | 15 | 20 | 23 | 25 | 26 | 25 | 21 | 15 | 8 |
| 4 | 8 | 10 | 12 | 13 | 13 | 13 | 11 | 8 | 4 |
Temperature in field 5x7 after 120 iterations:
