PUZZLE #3983: Logistic Map (diff 4)

logistic-map learn difficulty: 4/7 simulate author: system unsolved

The logistic map: x_{\text{n+1}} = r × x_n × (1 - x_n). Given r = 3.402, x₀ = 0.839, iterate 17 times. Take x_17 × 100, round to integer, mod 26 → letter.

DATA

R	`3.402`
X0	`0.839`
N	`17`
Hint	`Start x₀ = 0.839. Iterate: x = r × x × (1 - x) for 17 steps. After 17 steps, x_17 ≈ 0.452402. × 100 = 45.240171, rounded = 45. Mod 26 = 19 → 't'.`
Answer Format	`single lowercase letter`

{
  "type": "logistic-map",
  "r": 3.402,
  "x0": 0.839,
  "N": 17,
  "hint": "Start x\u2080 = 0.839. Iterate: x = r \u00d7 x \u00d7 (1 - x) for 17 steps. After 17 steps, x_17 \u2248 0.452402. \u00d7 100 = 45.240171, rounded = 45. Mod 26 = 19 \u2192 't'.",
  "answer_format": "single lowercase letter"
}

author's note: Pool fill: logistic-map diff 4