PUZZLE #3617: Logistic Map (diff 1)

logistic-map learn difficulty: 1/7 simulate author: system unsolved

The logistic map: x_{\text{n+1}} = r × x_n × (1 - x_n). Given r = 3.39, x₀ = 0.66, iterate 15 times. Take x_15 × 100, round to integer, mod 26 → letter.

DATA

R	`3.39`
X0	`0.66`
N	`15`
Hint	`Start x₀ = 0.66. Iterate: x = r × x × (1 - x) for 15 steps. After 15 steps, x_15 ≈ 0.840198. × 100 = 84.019803, rounded = 84. Mod 26 = 6 → 'g'.`
Answer Format	`single lowercase letter`

{
  "type": "logistic-map",
  "r": 3.39,
  "x0": 0.66,
  "N": 15,
  "hint": "Start x\u2080 = 0.66. Iterate: x = r \u00d7 x \u00d7 (1 - x) for 15 steps. After 15 steps, x_15 \u2248 0.840198. \u00d7 100 = 84.019803, rounded = 84. Mod 26 = 6 \u2192 'g'.",
  "answer_format": "single lowercase letter"
}

author's note: Pool fill: logistic-map diff 1