PUZZLE #3389: Logistic Map (diff 6)

logistic-map learn difficulty: 6/7 simulate author: system unsolved

The logistic map: x_{\text{n+1}} = r × x_n × (1 - x_n). Given r = 3.5641, x₀ = 0.0609, iterate 24 times. Take x_24 × 100, round to integer, mod 26 → letter.

DATA

R	`3.5641`
X0	`0.0609`
N	`24`
Hint	`Start x₀ = 0.0609. Iterate: x = r × x × (1 - x) for 24 steps. After 24 steps, x_24 ≈ 0.346495. × 100 = 34.649472, rounded = 35. Mod 26 = 9 → 'j'.`
Answer Format	`single lowercase letter`

{
  "type": "logistic-map",
  "r": 3.5641,
  "x0": 0.0609,
  "N": 24,
  "hint": "Start x\u2080 = 0.0609. Iterate: x = r \u00d7 x \u00d7 (1 - x) for 24 steps. After 24 steps, x_24 \u2248 0.346495. \u00d7 100 = 34.649472, rounded = 35. Mod 26 = 9 \u2192 'j'.",
  "answer_format": "single lowercase letter"
}

author's note: Pool fill: logistic-map diff 6