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 194°C heat to the field 4x2
What is the temperature (rounded to whole numbers) in the field 4x8 after 119 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 | 14 | 28 | 43 | 35 | 24 | 16 | 10 | 5 |
7 | 15 | 34 | 74 | 126 | 86 | 52 | 32 | 19 | 9 |
10 | 23 | 54 | 131 | 326 | 144 | 75 | 44 | 26 | 12 |
11 | 24 | 49 | 93 | 147 | 105 | 68 | 44 | 28 | 13 |
11 | 23 | 39 | 61 | 80 | 70 | 55 | 40 | 27 | 13 |
11 | 21 | 32 | 43 | 52 | 50 | 44 | 35 | 25 | 13 |
11 | 19 | 27 | 34 | 38 | 39 | 36 | 31 | 22 | 11 |
9 | 17 | 22 | 27 | 29 | 30 | 29 | 25 | 18 | 9 |
7 | 12 | 16 | 19 | 21 | 21 | 21 | 18 | 13 | 6 |
4 | 6 | 8 | 10 | 11 | 11 | 10 | 9 | 6 | 3 |
Temperature in field 4x8 after 119 iterations: