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 186°C heat to the field 5x4
What is the temperature (rounded to whole numbers) in the field 7x4 after 40 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)
| 4 | 7 | 9 | 10 | 10 | 11 | 11 | 10 | 7 | 4 |
| 7 | 12 | 15 | 17 | 20 | 25 | 24 | 20 | 14 | 7 |
| 9 | 15 | 19 | 25 | 40 | 56 | 48 | 35 | 23 | 11 |
| 10 | 17 | 24 | 42 | 79 | 130 | 91 | 56 | 33 | 15 |
| 10 | 18 | 30 | 59 | 131 | 318 | 143 | 74 | 40 | 18 |
| 10 | 19 | 30 | 52 | 93 | 144 | 102 | 65 | 39 | 18 |
| 10 | 18 | 27 | 41 | 61 | 78 | 68 | 50 | 33 | 16 |
| 9 | 16 | 23 | 31 | 40 | 47 | 45 | 36 | 25 | 12 |
| 7 | 12 | 16 | 21 | 25 | 29 | 28 | 23 | 16 | 8 |
| 4 | 6 | 8 | 10 | 12 | 14 | 13 | 11 | 8 | 4 |
Temperature in field 7x4 after 40 iterations:
