PUZZLE #4546: Heat Equation Thermal Diffusion (diff 7)

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

6 temperature readings after 70 diffusion steps. Each maps to a letter via ASCII code - 32.

DATA

Temperatures	`44.78, 51.77, 57.46, 61.86, 65.57, 69.11`
Grid Points	`24`
Alpha	`0.01`
Dx	`0.1`
Steps	`70`
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": [
    44.78,
    51.77,
    57.46,
    61.86,
    65.57,
    69.11
  ],
  "grid_points": 24,
  "alpha": 0.01,
  "dx": 0.1,
  "steps": 70,
  "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 7