Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 25°C. We apply continuously 175°C heat to the field 2x8
What is the temperature (rounded to whole numbers) in the field 5x3 after 87 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 6 | 7 | 8 | 8 | 8 | 8 | 8 | 6 | 3 |
| 6 | 10 | 12 | 14 | 15 | 15 | 15 | 13 | 10 | 5 |
| 7 | 12 | 16 | 18 | 19 | 19 | 19 | 17 | 13 | 7 |
| 8 | 14 | 18 | 20 | 21 | 21 | 21 | 19 | 14 | 7 |
| 8 | 15 | 19 | 22 | 23 | 23 | 23 | 20 | 15 | 8 |
| 8 | 18 | 26 | 28 | 27 | 26 | 24 | 21 | 16 | 8 |
| 12 | 31 | 50 | 46 | 37 | 30 | 26 | 22 | 16 | 8 |
| 23 | 64 | 114 | 80 | 51 | 35 | 27 | 21 | 14 | 7 |
| 34 | 105 | 282 | 119 | 59 | 34 | 23 | 17 | 11 | 5 |
| 21 | 55 | 99 | 63 | 35 | 21 | 13 | 9 | 6 | 3 |
Temperature in field 5x3 after 87 iterations:
