Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 30°C. We apply continuously 164°C heat to the field 1x2
What is the temperature (rounded to whole numbers) in the field 7x5 after 37 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
Field after 4 iterations (rounded after 4th iteration)
| 17 | 34 | 29 | 21 | 16 | 13 | 11 | 9 | 7 | 4 |
| 48 | 101 | 71 | 45 | 31 | 24 | 20 | 17 | 12 | 6 |
| 90 | 267 | 119 | 65 | 42 | 31 | 26 | 22 | 16 | 8 |
| 57 | 115 | 85 | 59 | 43 | 34 | 29 | 24 | 18 | 9 |
| 33 | 58 | 57 | 47 | 39 | 34 | 30 | 26 | 19 | 10 |
| 20 | 35 | 40 | 38 | 35 | 33 | 30 | 26 | 19 | 10 |
| 14 | 25 | 30 | 32 | 31 | 30 | 29 | 25 | 19 | 10 |
| 11 | 19 | 24 | 26 | 27 | 26 | 25 | 22 | 16 | 8 |
| 7 | 13 | 17 | 19 | 19 | 20 | 19 | 16 | 12 | 6 |
| 4 | 7 | 8 | 10 | 10 | 10 | 10 | 8 | 6 | 3 |
Temperature in field 7x5 after 37 iterations:
