Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 31°C. We apply continuously 168°C heat to the field 7x9
What is the temperature (rounded to whole numbers) in the field 0x6 after 37 iterations according to the Gauss-Seidel iteration
Field in the beginning
31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 |
31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 |
31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 |
31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 |
31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 |
31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 |
31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 |
31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 |
31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 |
31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 | 31 |
Field after 4 iterations (rounded after 4th iteration)
4 | 7 | 9 | 10 | 10 | 11 | 10 | 9 | 7 | 4 |
7 | 12 | 15 | 17 | 18 | 18 | 18 | 16 | 12 | 6 |
9 | 15 | 19 | 22 | 23 | 24 | 23 | 21 | 16 | 8 |
10 | 17 | 22 | 25 | 26 | 27 | 26 | 23 | 18 | 9 |
10 | 18 | 23 | 26 | 28 | 28 | 28 | 25 | 19 | 10 |
11 | 18 | 24 | 27 | 28 | 29 | 29 | 26 | 20 | 11 |
10 | 18 | 23 | 26 | 28 | 29 | 31 | 32 | 25 | 13 |
9 | 16 | 21 | 23 | 25 | 30 | 40 | 50 | 37 | 19 |
7 | 12 | 16 | 18 | 22 | 34 | 62 | 100 | 60 | 26 |
4 | 6 | 8 | 10 | 15 | 32 | 81 | 232 | 79 | 26 |
Temperature in field 0x6 after 37 iterations: