Exact research report / certificate v1
One reading moves, the others stay fixed. An exact factor-root partition covers every real setting from 0 to 100 for this odd-sized sample.
01 / Model assumptions
5 readings. Chosen target 50. Starting winner: Median. Only one reading may change at a time; the allowed domain is the continuous real interval [0,100].
A threshold is a tie, not a strict winning move. The exact infimum can be approached from the opposing interval; the recorded witness is an explicit strict reversal.
02 / Exhaustive routes
Colors summarize open intervals. Markers show the original reading (white line) and any nearest tie boundary (gold circle). Position is approximate; exact fractions below and in the certificate carry the result.
(0, 15) — Median throughout(15, 50) — Median throughout(50, 51) — Median throughout(51, 100) — Median throughoutIntervals are open. Winner at each boundary is recorded in the downloadable certificate.
(0, 16) — Median throughout(16, 50) — Median throughout(50, 51) — Median throughout(51, 100) — Median throughoutIntervals are open. Winner at each boundary is recorded in the downloadable certificate.
(0, 12) — Median throughout(12, 22) — Mean throughout(22, 49) — Median throughout(49, 51) — Median throughout(51, 100) — Median throughoutIntervals are open. Winner at each boundary is recorded in the downloadable certificate.
(0, 13) — Median throughout(13, 23) — Mean throughout(23, 49) — Median throughout(49, 50) — Median throughout(50, 100) — Median throughoutIntervals are open. Winner at each boundary is recorded in the downloadable certificate.
(0, 47) — Median throughout(47, 49) — Mean throughout(49, 99/2) — Mean throughout(99/2, 50) — Median throughout(50, 52) — Median throughout(52, 100) — Median throughoutIntervals are open. Winner at each boundary is recorded in the downloadable certificate.
03 / Reproduce
The embedded download contains the exact bytes checked by the independent Python verifier. Its fingerprint identifies matching bytes; it does not authenticate their source or establish that the inputs reflect real measurements.
bf4423f4cc6b1e87c70917f7d2bc8de5e23fb34a8b7d618a391dae6dee35ed4bDownload checked JSON certificateRun python3 tools/verify_odd_sample_flip.py odd-sample-flip-certificate.json using the repository checker. Verified status: strict-baseline.