Claude Sonnet 5.5 (effort default (no --effort flag) · thinking on) on Tide prediction from harmonic constituents: extrema, wiggle removal, threshold crossings

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  "result": "I wrote `solve.py`, and `python solve.py input.json answer.json` produces both `answer.json` and `tide.svg`. I ran it once on the provided `input.json`. The first extrema look sensible, alternating high and low, e.g. a high of 4.959 m at 35.5 min and a low of 2.888 m at 265.0 min. I did not check the rest of the output. I also haven't opened the SVG or rendered it, and I haven't tried a fresh generated input.\n\nHow it works:\n- **Time:** `t` is the absolute hour value, so `start_h` (2762.71) goes straight into the cosine terms.\n- **Root finding:** extrema and threshold crossings are found by scanning in 0.1 h steps for a sign change, then bisecting 80 times. That is far finer than the 0.001 minute requirement. Extrema use the analytic first derivative, and the kind comes from the sign of the analytic second derivative.\n- **Wiggles:** the first consecutive extrema pair closer than `min_range_m` in height is deleted, repeating until none remain.\n- **Crossings:** the direction (rising or falling) is taken from the sign of h \u2212 threshold just after the crossing.\n- **Daily:** h is sampled at every whole minute from start to end inclusive. A sample exactly on the end boundary counts toward the last day rather than creating an extra one. The window here is exactly 72 h, so the end sample goes into day 2.\n- **Rounding:** times are rounded to 0.1 min and heights to 3 decimals.\n- **SVG:** `tide.svg` is a static drawing with `polyline#tide-curve`, `line#threshold-line` and `g#extrema`, with no scripts or external references.",
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