From 790a14e28e935398072b9a9a68694ce7fba8940f Mon Sep 17 00:00:00 2001 From: rfu08 Date: Thu, 8 Oct 2026 14:20:01 -0400 Subject: [PATCH 1/2] Certify rank-first pair profiles and refine conditional exponent --- .github/workflows/verify.yml | 22 + Makefile | 17 + README.md | 6 + research/ranked-pair-verification/PROOF.md | 33 + research/ranked-pair-verification/README.md | 129 +++ .../assembly-barriers.json | 11 + .../audit/finite-verification.json | 320 +++++++ .../audit/ranked-word-audit.py | 258 ++++++ .../audit/scatter_binding_audit.py | 67 ++ .../compiler-rank-order.patch | 11 + .../concave-dominance.json | 126 +++ .../concave_dominance.py | 54 ++ .../finite-frames/README.md | 40 + .../finite-frames/explore_pair_reclamation.py | 96 +++ .../pair-original-23-receipt.json | 184 ++++ .../pair-original-25-receipt.json | 186 ++++ .../finite-frames/pair-ranked-23-receipt.json | 184 ++++ .../finite-frames/pair-ranked-25-receipt.json | 189 +++++ .../finite-frames/pair-ranked-both.json | 678 +++++++++++++++ .../finite-frames/pair-ranked-word-23.json.gz | Bin 0 -> 2513528 bytes .../finite-frames/pair-ranked-word-25.json.gz | Bin 0 -> 3485058 bytes .../finite-frames/pinned_upstream.py | 80 ++ .../finite-frames/source-word-manifest.json | 33 + .../finite-frames/test_new_words.py | 47 ++ .../independent_assembly.py | 91 ++ .../independent_moment.py | 126 +++ .../lean/BalancedCeiling.lean | 52 ++ .../lean/CappedMass.lean | 261 ++++++ .../lean/ConcreteAssembly.lean | 139 +++ .../lean/DirtyWrapper.lean | 205 +++++ .../ranked-pair-verification/lean/README.txt | 49 ++ .../lean/RoundedRecurrence.lean | 183 ++++ .../ranked-pair-verification/lean/check.py | 129 +++ .../lean/declaration-scope-map.json | 796 ++++++++++++++++++ .../lean/theorem-manifest.json | 87 ++ .../lean/verified-axioms.json | 235 ++++++ .../pr63-comparison.json | 60 ++ .../research-addendum.tex | 447 ++++++++++ .../selected-assembly-verification.json | 71 ++ .../selected-certificate.json | 264 ++++++ .../selected-moment-verification.json | 28 + .../transfer-review.txt | 323 +++++++ research/ranked-pair-verification/verify.py | 112 +++ 43 files changed, 6429 insertions(+) create mode 100644 research/ranked-pair-verification/PROOF.md create mode 100644 research/ranked-pair-verification/README.md create mode 100644 research/ranked-pair-verification/assembly-barriers.json create mode 100644 research/ranked-pair-verification/audit/finite-verification.json create mode 100644 research/ranked-pair-verification/audit/ranked-word-audit.py create mode 100644 research/ranked-pair-verification/audit/scatter_binding_audit.py create mode 100644 research/ranked-pair-verification/compiler-rank-order.patch create mode 100644 research/ranked-pair-verification/concave-dominance.json create mode 100644 research/ranked-pair-verification/concave_dominance.py create mode 100644 research/ranked-pair-verification/finite-frames/README.md create mode 100644 research/ranked-pair-verification/finite-frames/explore_pair_reclamation.py create mode 100644 research/ranked-pair-verification/finite-frames/pair-original-23-receipt.json create mode 100644 research/ranked-pair-verification/finite-frames/pair-original-25-receipt.json create mode 100644 research/ranked-pair-verification/finite-frames/pair-ranked-23-receipt.json create mode 100644 research/ranked-pair-verification/finite-frames/pair-ranked-25-receipt.json create mode 100644 research/ranked-pair-verification/finite-frames/pair-ranked-both.json create mode 100644 research/ranked-pair-verification/finite-frames/pair-ranked-word-23.json.gz create mode 100644 research/ranked-pair-verification/finite-frames/pair-ranked-word-25.json.gz create mode 100644 research/ranked-pair-verification/finite-frames/pinned_upstream.py create mode 100644 research/ranked-pair-verification/finite-frames/source-word-manifest.json create mode 100644 research/ranked-pair-verification/finite-frames/test_new_words.py create mode 100644 research/ranked-pair-verification/independent_assembly.py create mode 100644 research/ranked-pair-verification/independent_moment.py create mode 100644 research/ranked-pair-verification/lean/BalancedCeiling.lean create mode 100644 research/ranked-pair-verification/lean/CappedMass.lean create mode 100644 research/ranked-pair-verification/lean/ConcreteAssembly.lean create mode 100644 research/ranked-pair-verification/lean/DirtyWrapper.lean create mode 100644 research/ranked-pair-verification/lean/README.txt create mode 100644 research/ranked-pair-verification/lean/RoundedRecurrence.lean create mode 100644 research/ranked-pair-verification/lean/check.py create mode 100644 research/ranked-pair-verification/lean/declaration-scope-map.json create mode 100644 research/ranked-pair-verification/lean/theorem-manifest.json create mode 100644 research/ranked-pair-verification/lean/verified-axioms.json create mode 100644 research/ranked-pair-verification/pr63-comparison.json create mode 100644 research/ranked-pair-verification/research-addendum.tex create mode 100644 research/ranked-pair-verification/selected-assembly-verification.json create mode 100644 research/ranked-pair-verification/selected-certificate.json create mode 100644 research/ranked-pair-verification/selected-moment-verification.json create mode 100644 research/ranked-pair-verification/transfer-review.txt create mode 100644 research/ranked-pair-verification/verify.py diff --git a/.github/workflows/verify.yml b/.github/workflows/verify.yml index e85afe14dd..c6ba75a7bb 100644 --- a/.github/workflows/verify.yml +++ b/.github/workflows/verify.yml @@ -29,6 +29,28 @@ jobs: - name: Require reproducible certificates and patches run: git diff --exit-code + ranked-pair-finite: + runs-on: ubuntu-24.04 + timeout-minutes: 20 + steps: + - uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7 + with: + persist-credentials: false + - uses: actions/setup-python@5fda3b95a4ea91299a34e894583c3862153e4b97 # v7 + with: + python-version: '3.13' + - name: Fetch immutable PR62 construction sources + uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7 + with: + repository: CrocSwap/integer-mult-bounds + ref: ad0f25ff7b23cff7f08ad237c2254e6ecf74257e + path: build/ranked-pair-upstream + persist-credentials: false + - name: Independently replay words and rebuild exact CRT profiles + run: make ranked-pair-verify UPSTREAM=build/ranked-pair-upstream + - name: Require unchanged tracked artifacts + run: git diff --exit-code + formal: runs-on: ubuntu-24.04 timeout-minutes: 30 diff --git a/Makefile b/Makefile index a733e4b348..8aa5518c45 100644 --- a/Makefile +++ b/Makefile @@ -71,6 +71,23 @@ verify-certificates: python3 scripts/reuse_network.py python3 scripts/make_reuse_patch.py +# Independent verification of the pending PR62/63 rank-first construction. +# The offline check is separate from the pinned-source, C++/CRT replay. +verify-certificates: ranked-pair-check + +.PHONY: ranked-pair-check ranked-pair-verify formal-ranked-pair-verify +ranked-pair-check: + python3 research/ranked-pair-verification/verify.py + +ranked-pair-verify: ranked-pair-check + test -n "$(UPSTREAM)" + python3 research/ranked-pair-verification/audit/ranked-word-audit.py --upstream "$(UPSTREAM)" --generated build/ranked-pair + +formal-ranked-pair-verify: + python3 research/ranked-pair-verification/lean/check.py + +formal-historical-verify: formal-ranked-pair-verify + verify-ternary: python3 scripts/complex_compression.py python3 scripts/make_complex_compression_patch.py diff --git a/README.md b/README.md index 9e01040cbb..371115f610 100644 --- a/README.md +++ b/README.md @@ -158,6 +158,12 @@ scoped negative results and reproducible certificates. ## Citation and license +The [independent rank-first pair verification](research/ranked-pair-verification/README.md) +records a conditional parameter refinement for the pending PR62/63 construction, +exact word/profile checks, and 45 scoped Lean theorems. Its construction matches +concurrent PR63; it does not replace the released bound or verify the full +multiplication machine. + Use [CITATION.cff](CITATION.cff), cite the individual contributions used and include the repository version or commit. [CONTRIBUTORS.md](CONTRIBUTORS.md), [NOTICE](NOTICE) and source-specific manifests preserve the dependency credits. diff --git a/research/ranked-pair-verification/PROOF.md b/research/ranked-pair-verification/PROOF.md new file mode 100644 index 0000000000..47173f521e --- /dev/null +++ b/research/ranked-pair-verification/PROOF.md @@ -0,0 +1,33 @@ +## Concurrent construction and exact refinement + +[PR #63 by Dominik Scholz](https://github.com/CrocSwap/integer-mult-bounds/pull/63), at [`aa7701b68540b7863d3b66a414e4319915d6282d`](https://github.com/DominikScholz/integer-mult-bounds/tree/aa7701b68540b7863d3b66a414e4319915d6282d), independently publishes the same composition of the PR62 pair graph with PR60's rank-first reclamation. Both decompressed words are byte-identical to the independently generated words used here; both complete axis profiles and the finite bridge also agree. The comparison is recorded in `pr63-comparison.json`. No exclusive discovery or priority claim is made for this construction. + +This package adds independent source/scatter/charge binding, exact arithmetic, scoped Lean proofs, and the refined conditional witness + +\[ +\kappa=\frac{20411033624901463}{400000000000000000000} +=5.10275840622536575\times10^{-5}. +\] + +It exceeds PR63's \(5102757/10^{11}\) by exactly \(5624901463/400000000000000000000\), approximately \(1.40622536575\times10^{-11}\). This numerical increment over PR63 changes only the rational characteristic/assembly parameters. The physical construction is identical. The selected bit saving is \(63787735011827529/1250000000000000000000\), with positive assembly backoff \(10^{-18}\). + +## A profile comparison valid for every exponent + +Relative to [PR62's original stacked profile](https://github.com/ikeboy/integer-mult-bounds/tree/ad0f25ff7b23cff7f08ad237c2254e6ecf74257e/research/pair-assembly/frame), each new-minus-old axis profile \(d_t\) has zero rank mass and nonpositive capped sums \(C_k=\sum_t d_t\min(t,k)\). The first caps are strictly negative: \(-176\) for \(h=23\), and \(-372\) for \(h=25\). For \(f(0)=0\), discrete summation gives + +\[ +\sum_t d_t f(t)=\sum_{k=1}^{T-1} +\bigl(2f(k)-f(k-1)-f(k+1)\bigr)C_k, +\] + +because the linear term vanishes with the rank mass. Taking \(f(t)=t^{1-u}\), \(0= ranks[old], "Decreasing frame rank") + if old != frame: + transitions[old, frame] += 1 + actual[slot] = frame + + triples = list(combinations(range(h), 3)) + lookup = {frame: index for index, frame in enumerate(frames)} + for index, slot in word["sources"].items(): + mask = sum(1 << j for j in triples[int(index)]) + incidence(slot, lookup[mask, mask]) + for target, source, frame in word["ops"]: + require(target != source, "Self XOR") + incidence(target, frame) + incidence(source, frame) + for slot, frame, common, triple in word["outputs"]: + incidence(slot, frame) + + event_state = [None] * roles + events = Counter() + for slot, old, new in word["events"]: + require(type(slot) is int and 0 <= slot < roles and + type(old) is int and -1 <= old < len(frames) and + type(new) is int and 0 <= new < len(frames), "Event domain") + old = None if old == -1 else old + require(event_state[slot] == old, "Event chronology") + if old != new: + events[old, new] += 1 + event_state[slot] = new + require(events == transitions and event_state == actual, "Actual word and event path differ") + require(all(frame is not None for frame in actual), "Untouched physical role") + + # Independently reconstruct every transition charged to the CRT profiler, + # including copied centers, terminal cleanup and side-output growth. + catalog = [(0, 0, 0), (0, 0, h)] + [(c, u, rank) for (c, u), rank in zip(frames, ranks)] + charged = Counter({(0 if a is None else a + 2, b + 2): count + for (a, b), count in transitions.items()}) + outputs, centers, singles = set(), 0, 0 + for slot, frame, common, triple in word["outputs"]: + require(slot not in outputs and actual[slot] == frame, "Output terminal frame") + outputs.add(slot) + cm, um = frames[frame] + if len(triple) == 1: + require(cm == 1 << common and um == (1 << h) - 1 and ranks[frame] == h - 1, "Center frame") + charged[0, frame + 2] += 1 + charged[frame + 2, 1] += 1 + centers += 1 + else: + require(cm == 1 << common and + um == ((1 << h) - 1) ^ sum(1 << j for j in triple if j != common), "Side-output frame") + singles += h - ranks[frame] + require(centers == h, "Center count") + for slot, frame in enumerate(actual): + if slot not in outputs: + charged[frame + 2, 1] += 1 + rank_mass = singles + sum((catalog[b][2] - catalog[a][2]) * n for (a, b), n in charged.items()) + require(rank_mass == h * roles + h * (h - 1), "Charged transition mass") + require(all(catalog[b][2] > catalog[a][2] and n > 0 for (a, b), n in charged.items()), + "Nonpositive charged transition") + encoded = bytearray(struct.pack("<6I2Q", h, v, roles, len(catalog), len(charged), singles, rank_mass, h * (h - 1))) + for common, union, rank in catalog: + encoded.extend(struct.pack("<2QI", common, union, rank)) + for (old, new), count in sorted(charged.items()): + encoded.extend(struct.pack("<2Iq", old, new, count)) + binary_path = generated / f"ranked-{h}.bin" + profile_path = Path(str(binary_path) + ".profiles.json") + if reuse_profiles: + require(bytes(encoded) == binary_path.read_bytes(), "Literal charges differ from existing CRT profiler input") + else: + binary_path.write_bytes(encoded) + subprocess.run([str(profiler), str(binary_path)], check=True) + profile_raw = profile_path.read_bytes() + profile = json.loads(profile_raw) + require(profile == receipt["profile"], "Fresh/existing CRT profile differs from selected receipt") + require(profile["h"] == h and profile["v"] == v and profile["R"] == roles and + profile["frames"] == len(catalog), "Profile axis/frame binding") + blocks = profile["blocks"] + require(len(blocks) == h + 1 and blocks[0] == blocks[-1] == 0 and + all(type(n) is int and n >= 0 for n in blocks), "Profile domain") + require(sum(t * n for t, n in enumerate(blocks)) == rank_mass == profile["rank_sum"] == + receipt["replay"]["rank_mass"], "Complete local rank mass") + require(profile["crt_disagreements"] == 0, "CRT disagreement") + exact = js(exactness(h)) + require(exact == receipt["exactness"], "Recomputed bounded-minor CRT arithmetic differs") + + # Interpret all basis columns simultaneously as integer bitsets, independent + # of the compiler and its replay implementation. Linearity covers every + # source, target and arbitrary dirty auxiliary state in both orientations. + initial = [1 << i for i in range(2 * v + roles)] + mixer = [(2 * v + a, 2 * v + b) for a, b, _ in word["ops"]] + source_copy = [(2 * v + slot, int(index)) for index, slot in word["sources"].items()] + scatter = [tuple(pair) for pair in word["scatter"]] + wrapped = mixer + scatter + mixer[::-1] + source_copy + mixer + scatter + mixer[::-1] + source_copy + for dual in (False, True): + state = initial.copy() + for target, source in (reversed(wrapped) if dual else wrapped): + if dual: + target, source = source, target + require(0 <= target < len(state) and 0 <= source < len(state), "Wrapped word domain") + state[target] ^= state[source] + expected = initial.copy() + for index in range(v): + expected[index if dual else v + index] ^= initial[v + index if dual else index] + require(state == expected, "Full basis semantic failure") + + original_raw = git(root, "show", PIN + f":research/pair-assembly/frame/frame-profiles-{h}.json") + original = json.loads(original_raw) + require(roles == original["R"], "Role count changed from PR62") + delta = [n - old for n, old in zip(blocks, original["blocks"])] + caps = {k: sum(n * min(t, k) for t, n in enumerate(delta)) for k in range(1, h + 1)} + require(sum(t * n for t, n in enumerate(delta)) == 0, "Rank mass changed from PR62") + require(all(value <= 0 for value in caps.values()) and caps[1] < 0, "Concave dominance failed") + print(f"PASS h={h}: complete dirty basis both orientations, literal charges, CRT profile and concave dominance", flush=True) + return dict(h=h, v=v, R=roles, word_sha256=word_hash, + packed_sha256=sha256(packed).hexdigest(), literal_scatter=strict_scatter, + duplicate_unrecorded_scatter_rejected=True, transition_types=len(transitions), + complete_charged_transition_types=len(charged), binary_profiler_input_sha256=sha256(encoded).hexdigest(), + side_growth_singletons=singles, full_basis_directions=2 * v + roles, + full_basis_orientations=2, elementary_xors=len(mixer), wrapped_xors=len(wrapped), + profile=blocks, mass=rank_mass, profiler_output_sha256=sha256(profile_raw).hexdigest(), + original_profile_sha256=sha256(original_raw).hexdigest(), exactness=exact, + profile_delta=delta, capped_delta=caps, + concave_dominance="Strictly smaller sum n_t*t^p for every 0= v, "Wrong physical role count") + require(set(d["sources"]) == {str(i) for i in range(v)}, "Incomplete source keys") + require(all(type(s) is int and 0 <= s < roles for s in d["sources"].values()), "Source domain") + require(len(set(d["sources"].values())) == v, "Aliased source slots") + expected, seen, central = [], set(), 0 + for slot, frame, common, triple in d["outputs"]: + require(type(slot) is int and 0 <= slot < roles and slot not in seen, "Output slot domain or alias") + seen.add(slot) + require(type(frame) is int and 0 <= frame < len(d["frames"]), "Output frame domain") + require(type(common) is int and 0 <= common < h, "Output common point") + if len(triple) == 1: + require(triple == [common], "Invalid retained center") + central += 1 + destinations = [i for i, t in enumerate(triples) if common in t] + else: + require(len(triple) == 3 and triple == sorted(triple) and common in triple, + "Invalid side-output triple") + require(tuple(triple) in triples, "Output triple domain") + destinations = [triples.index(tuple(triple))] + expected.extend([v + i, 2 * v + slot] for i in destinations) + require(central == h, "Missing retained centers") + for target, source in d["scatter"]: + require(type(target) is int and type(source) is int and + v <= target < 2 * v and 2 * v <= source < 2 * v + roles, "Scatter domain") + require(d["scatter"] == expected, + "Serialized scatter differs from complete output-derived literal operation list") + return {"scatter_xors": len(expected), "central_outputs": central, + "output_records": len(d["outputs"]), "literal_binding": True, + "sequence_sha256": sha256(json.dumps(expected, separators=(",", ":")).encode()).hexdigest()} + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("word", type=Path) + args = parser.parse_args() + raw = args.word.read_bytes() + if args.word.suffix == ".gz": + raw = gzip.decompress(raw) + print(json.dumps(verify_scatter(json.loads(raw)), indent=2)) + + +if __name__ == "__main__": + main() diff --git a/research/ranked-pair-verification/compiler-rank-order.patch b/research/ranked-pair-verification/compiler-rank-order.patch new file mode 100644 index 0000000000..56afebdb6c --- /dev/null +++ b/research/ranked-pair-verification/compiler-rank-order.patch @@ -0,0 +1,11 @@ +--- a/scripts/experiments/binary_frame_compiler.py ++++ b/scripts/experiments/binary_frame_compiler.py +@@ -129,7 +129,7 @@ + old,e=bb[p];row^=old;expr^=e + return expr + for s in anchors:ins(s) +- for s in sorted(retired): ++ for s in sorted(retired,key=lambda s:(-blocks[frames[s]]['rank'],s)): + if not contains(blocks[frames[s]]['frame'],blocks[g]['frame']):continue + e=ins(s) + if e is None:continue diff --git a/research/ranked-pair-verification/concave-dominance.json b/research/ranked-pair-verification/concave-dominance.json new file mode 100644 index 0000000000..ea410852d5 --- /dev/null +++ b/research/ranked-pair-verification/concave-dominance.json @@ -0,0 +1,126 @@ +{ + "status": "PASS exact integer concave dominance", + "axes": [ + { + "signed_multiplicities": { + "1": 79, + "2": -95, + "3": -22, + "4": -140, + "5": -91, + "6": -3, + "7": -11, + "8": -19, + "9": 23, + "10": 22, + "11": 22, + "12": 21, + "13": 14, + "14": 24 + }, + "capped_mass_differences": [ + 0, + -176, + -431, + -591, + -729, + -727, + -634, + -538, + -431, + -305, + -202, + -121, + -62, + -24, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0 + ], + "zero_rank_mass": true, + "strict_at_width_one": true, + "min_basis_identity_checked": true, + "f_zero_coefficient": 176, + "h": 23, + "roles": 27918, + "old_word": "bd0cbf73756f2e4f8d3879ec6c7a194990eb9ec40aaf3580bdded6994798d920", + "new_word": "640696dd7cd893add9d6e12d0d587956fecf113b2eff8c29547b82e5a6f3c0ad", + "source_sha256": { + "pair-original-23-receipt.json": "9d4b2c627c5962303c2ed364ea70f7732cfa1ff6d55cda3b8d01a71fee96f81a", + "pair-ranked-23-receipt.json": "75ad8eda4a17ff839d744fa64955140ba1d0ef72b2b9107ca4ff28601929b97b" + } + }, + { + "signed_multiplicities": { + "1": -75, + "2": 39, + "3": -135, + "4": -119, + "5": -106, + "6": -58, + "7": -87, + "8": -1, + "9": 15, + "10": -17, + "11": 22, + "12": 47, + "13": 19, + "14": 8, + "15": 49, + "17": 10, + "18": -5, + "19": 12, + "20": 10 + }, + "capped_mass_differences": [ + 0, + -372, + -669, + -1005, + -1206, + -1288, + -1264, + -1182, + -1013, + -843, + -688, + -516, + -366, + -263, + -179, + -103, + -76, + -49, + -32, + -10, + 0, + 0, + 0, + 0, + 0, + 0 + ], + "zero_rank_mass": true, + "strict_at_width_one": true, + "min_basis_identity_checked": true, + "f_zero_coefficient": 372, + "h": 25, + "roles": 36586, + "old_word": "634d3cc0fa8e4f592b1924c141bc953524ea08bf683059e18d8ad0c2f26785ec", + "new_word": "7a827318eff45db1183d66e80d38ddbd4ce321bbc033d2effb7afa438d6b63a9", + "source_sha256": { + "pair-original-25-receipt.json": "321992d6c104c77cccaad1444e3ac57ca6868aad5e23cc531b3dc29eaec082c3", + "pair-ranked-25-receipt.json": "56f82882e55bf5363d524a772f164cf360a9c66c59f7d44b458ff5353ea8bca7" + } + } + ], + "consequence": "For every 0f(0)+f(2), the inequality is strict. +""" +from pathlib import Path +from hashlib import sha256 +import json + +def require(b,message): + if not b:raise ValueError(message) + +def certify(old,new): + require(len(old)==len(new),'profile lengths') + d=[b-a for a,b in zip(old,new)] + require(d[0]==0,'width-zero profile changed') + T=len(d)-1 + C=[sum(min(t,k)*n for t,n in enumerate(d)) for k in range(T+1)] + require(C[T]==0,'total rank mass changed') + require(all(v<=0 for v in C),'not concave dominance') + require(C[1]<0,'strict concavity witness absent') + # Expand sum C(k)*(2f(k)-f(k-1)-f(k+1)). + coefficients=[0]*(T+1) + for k in range(1,T): + coefficients[k]+=2*C[k] + coefficients[k-1]-=C[k] + coefficients[k+1]-=C[k] + require(coefficients[1:]==d[1:],'summation-by-parts coefficient identity') + # The only remaining term is a multiple of f(0), fixed to zero. + return dict(signed_multiplicities={t:n for t,n in enumerate(d) if n}, + capped_mass_differences=C, + zero_rank_mass=True,strict_at_width_one=True, + min_basis_identity_checked=True,f_zero_coefficient=coefficients[0]) + +def main(): + root=Path(__file__).resolve().parent + rows=[] + for h in (23,25): + paths=[root/'finite-frames'/f'pair-{kind}-{h}-receipt.json' for kind in ('original','ranked')] + old,new=[json.loads(p.read_text()) for p in paths] + require(old['profile']['R']==new['profile']['R'],'roles must stay unchanged') + row=certify(old['profile']['blocks'],new['profile']['blocks']) + row.update(h=h,roles=new['profile']['R'],old_word=old['word_sha256'],new_word=new['word_sha256'], + source_sha256={p.name:sha256(p.read_bytes()).hexdigest() for p in paths}) + rows.append(row) + out=dict(status='PASS exact integer concave dominance',axes=rows, + consequence='For every 0><=S=SRpWl7mKb$$|JkMu+f8L+ZbCM38J^L^CZ~El9V~!3dPsndj zR$zJMYC!Ncte<~kka>`>TGpO8b z&R7e#lgfyljHYru;DY&_`jOKz#NotGaN@a~c=*R8=hy`280YSoA*-6p>7L-E_|qx( zT4H+!4Ejcs2MyT<)dtMbWEPve>xb{w8>CUpDXf;*_XGcPH!POR5#Su6Qtj#gb9bzp zZPVj2=}%opr_{E@)(;qPU~zW!xERx>JDJ0-9%ENe{O4|)O*2)EvynxW85|i zm5&ZEh6Whp1B{UY26uolIKW`JbQn~2dydeh%LhV#uw!CBFc(FdFrJT|hW8`Ar?(aPK10i2C|KF(UftST*{2{> zAIv=tS`2gIXN&|hzqyC;gFw!`u6`zS2%V$_{Kj5d9&VMZ#M>hIT^BZ4_g>(%YF2FL z3jHWbchT4rtn54@O03VH+v;R!=WN=1c_^;HR&g9QSGl*urnPT{5bR(@Rs2Z&lANe8 zNyY8}W9&^Vdf@5vAzXlVX+Bm2vw~LgR_~6ufmUFu9If^X3X^QJBi#F6c?&jb zZ@}+MI|_O2x2OT1RSujdHKYtTsMPn#SkL?zjAL}zXON@gj!hB(`!`zNagr9}$@UBd zP-w~Tgb!!Lg~%7)gOx{a9hnXZa26RB#PK`vSqBFP#P3<3opg@X3mr1r)2mq~0k5$E 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