PUZZLE #5577: Heat Equation Thermal Diffusion (diff 4)

heat-equation learn difficulty: 4/7 simulate author: system unsolved

6 temperature readings after 40 diffusion steps. Each maps to a letter via ASCII code - 32.

DATA

Temperatures	`45.91, 52.32, 56.22, 59.17, 63.12, 68.53`
Grid Points	`24`
Alpha	`0.01`
Dx	`0.1`
Steps	`40`
N Chars	`6`
Sample Positions	`2, 6, 10, 14, 18, 22`
Hint	`The initial temperature at each grid cluster was (ASCII-32)°C. Simulate diffusion forward and match the observed readings.`
Answer Format	`lowercase letters, no spaces or punctuation`

{
  "type": "heat-equation",
  "temperatures": [
    45.91,
    52.32,
    56.22,
    59.17,
    63.12,
    68.53
  ],
  "grid_points": 24,
  "alpha": 0.01,
  "dx": 0.1,
  "steps": 40,
  "n_chars": 6,
  "sample_positions": [
    2,
    6,
    10,
    14,
    18,
    22
  ],
  "hint": "The initial temperature at each grid cluster was (ASCII-32)\u00b0C. Simulate diffusion forward and match the observed readings.",
  "answer_format": "lowercase letters, no spaces or punctuation"
}

author's note: Pool fill: heat-equation diff 4