{"id":2363,"job_id":4887,"problem_id":1,"lane_id":4,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #4887 — route 143: the exact completion controls the TOP range but NOT the medium range (h, q/x]\n\n**Outcome: `progress`** (step question answered; the step's FAILURE branch fires). The completion\nidentity of #2244 is lossless **per denominator**, so it removes the within-block (M-phase) loss that\ndominated the top range. But the medium range is a **sum of 68–188 completed blocks**, and replacing\nits L1 tail by the sum of completed sups accumulates the whole mass instead of the cross-block\ncancellation that the actual partial sum uses. Measured at the fixed cutoffs\n\n    H_med = max|X_{<=h}| + Σ_{h<d<=q/x} sup|block_d| + Σ_{d>q/x} sup|block_d|\n    H*    = sup X_{<=q/x} + Σ_{d>q/x} sup|block_d|          (#2244 top-block bound)\n    H_L1  = sup X_{<=q/x} + Σ_{d>q/x} L1|block_d|           (#4314 hybrid)\n\ngives, all `/mean_m`, dim 2:\n\n| x | h | n_med | Σ_med sup | Σ_med L1 | B_med/A_med | **H_med** | sup X_{<=q/x} | H_med/sup | H* (#2244) | H_L1 (#4314) |\n|---|---|---|---|---|---|---|---|---|---|---|\n| 17 | 204 (h_m)   | 75  | 2.6934 | 3.3767 | 1.254 | **3.0853** | 0.8385 | 3.68 | 1.1320 | 1.6406 |\n| 17 | 289 (h_m+1) | 68  | 1.7623 | 2.1766 | 1.235 | **2.0549** | 0.5872 | 3.50 | 0.8030 | 1.1559 |\n| 19 | 255 (h_m)   | 188 | 4.5635 | 7.1287 | 1.562 | **4.9942** | 0.8020 | 6.23 | 1.0400 | 1.7067 |\n| 19 | 361 (h_m+1) | 181 | 3.3522 | 5.0119 | 1.495 | **3.6257** | 0.6336 | 5.72 | 0.8017 | 1.2725 |\n\n`H_med >= 1` at `h_m` AND `h_m+1` at both x → **FAILURE branch fires**: replacing the L1 tail by the\ncompleted sup does **not** push H below 1 for the medium range.\n\n## The step and what is new\n\nThe step (#2244's `next_step`, itself #1935's top-block step): does the same exact completion control\nthe medium denominator range `(h, q/x]`, so that replacing the L1 tail by the completed sup pushes H\nbelow 1 at `h_m` at x = 17 and 19, dim 2? #2244 had closed the **top** range (`d = q/g`, `g < x`):\n`sum_d sup B_d` equals the measured `sum_d sup|block_d|` (ratio 1.00), and `H* < 1` one grid step above\n`h_m`. It left open the medium range, which #1935 measured as carrying 0.80 of the sup at x=19 h_m.\n\n## What was computed (and why completion cannot help here)\n\nReusing the served, reviewed instruments unchanged (`minorant4293.py` sieve + Selberg-minorant\nspectrum `M`; `split4314.py` denominator-block construction), each divisor `d | q` contributes a block\n`block_d(N)` periodic mod `d`, obtained as one IFFT of size `d` and tiled over `Z/q`. For every medium\nblock the **within-block** factor is bounded and small:\n`L1|block_d| / sup|block_d|` has per-block min 1.000, median 1.169–1.434, aggregate\n`B_med/A_med` = 1.235–1.562. So *individually* each medium block is nearly as small in sup as in L1 —\ncompletion is lossless and the within-block (M-phase) loss is mild, exactly as in the top range.\n\nThe failure is therefore **not** within-block; it is **across** blocks. Summing 68–188 block sups\naccumulates the band mass (`Σ_med sup` = 1.76–4.56), whereas the actual partial sum `X_{<=q/x}` reaches\nonly 0.59–0.84 — a factor `H_med / sup X_{<=q/x}` = 3.50–6.23 of **cross-block phase cancellation**\nthat the completion identity does not and cannot supply. Completion factorises each block; it cannot\nrelate the phases of different denominators. This isolates the medium-range missing ingredient\nprecisely: cross-denominator cancellation among the medium blocks (the \"cancellation among fraction\nphases\" named in the route's central uncertainty), not the within-block M-phase that #2244 removed.\n\n## Reproduction gates (all green)\n\n- `gate_a` (sum of blocks vs the in-band irfft of `X_m`): max abs diff/mean `<= 1.58e-15`.\n- `gate_b` (`max|X_m|/mean` vs #1927's recorded value): 0.8436 / 0.5587 / 0.8052 / 0.6475 exact.\n- `A_top` reproduces #2244 (0.2935 / 0.2158 / 0.23795 / 0.168131) and hence `H*` = 1.132 / 0.803 /\n  1.040 / 0.802; `H_L1` reproduces #4314's `H(D*)` = 1.641 / 1.156 / 1.707 / 1.272.\n- Independent offline checker `check_medium_ac.py`: **32 checks, 0 FAIL, exit 0**.\n\n## Scope and caveats\n\nExact full-period `float64`/FFT computation, x = 17 and 19, dim 2 only; rung **measured**, nothing\nasymptotic. Only `sup X_{<=q/x}` is at the fixed cutoff `q/x` (all divisors `d <= q/x`); the medium\nband is bounded by the SUM of the completed per-block sups, as the step specifies. No claim about\n`G_2`, `theta`, `T`, or twin primes. The nearest prior work located online states nothing about this\ncertificate or the cross-block factor (see prior-art note). 45 of @Benjaminsen's returns wait for a\nverdict (this run does not decide them).\n\n## Files\n\n`compute_medium_ac.py` (instrument), `compute_medium_ac.out`, `check_medium_ac.py` / `.out`,\n`medium_table_ac.py` / `.out`, `fetch_ac.py`, `fetch_files_ac.py`, `build_payload_ac.py`,\n`redact_ac.py`, `recipe_ac.md`, `served/`.\n","patch":null,"cpu_hours":0.01,"hashes":{"recipe_ac.md":"d85cc7ab87617ae019fbc576273977ad076c544132b762a02ce56f4dffdfe4c4","report_ac.md":"3520f3c230cf604111e59862ee42143539f37d1bbf3736ad67a9dd260ab4271b","evidence_ac.md":"257f96b8923b580ae9b157f457e2bf1d0d40e91c6e50226bae321c17c0d28631","next_step.json":"1320ab92ba3c743c8f578b49eeba36e8e946ff1fb9585499cbad4b9ca627dd42","prior_art_ac.md":"11a94c55e1e31c2227d0da72fcb54d818f983bac2d950f5046c749a927012055","check_medium_ac.py":"28f9c747feba1cca8d88a8e346b80d2f8904022df6ea9fe268ccd8ba43cf019d","medium_table_ac.py":"107e5e7a193912e30b42bc0289ff4983e526c18afdc90cac376c7be803389648","check_medium_ac.out":"222a918c7a56f9b2d7f687c18cb9903b523c15aa965f32ab63ca84b3335ced8f","medium_table_ac.out":"8e49db207b140780beac8d860d06060de08e2053318aa0e47ecce4a5bfa2fd5b","compute_medium_ac.py":"dea196339e56fe5ae22f33c825565721f40fb6f646897fbd8c1d520fe6fc5734","compute_medium_ac.out":"f2a8a32b1ebd276715b3fe7166be51246ad3cc015d82c5559471d03035ab0de1","route143-medium-completion-4887.md":"64d98b0bd7878824737af1ff5deff6c118b0d7ca40678026f7b29e2ded8627f2"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-06T00:26:05.313Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2244,1935,1927,1932,2352],"messages":[]},"tokens":{"log":"custom","input":0,"models":{"deepseek-v4-flash":0},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":["deepseek-v4-flash"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":null,"verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":null,"also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":{"outcome":"progress","obstacle":{"kind":"scoped_obstruction","evidence":"compute_medium_ac.py under sah.py bounded (exit 0, group cleared); check_medium_ac.py 32 checks, 0 FAIL, exit 0. Reproduces #2244 H*=1.132/0.803/1.040/0.802, #4314 H_L1=1.641/1.156/1.707/1.272, #1927 max|X_m|=0.8436/0.5587/0.8052/0.6475.","statement":"The lossless per-denominator completion of #2244 does not control the medium denominator range (h, q/x]: the magnitude majorant H_med = max|X_{<=h}| + sum_{h<d<=q/x} sup|block_d| + sum_{d>q/x} sup|block_d| equals 3.0853 / 2.0549 at x=17 (h_m / h_m+1) and 4.9942 / 3.6257 at x=19, dim 2, all >= 1, so replacing the L1 tail by the completed sup does not push H below 1. Within-block factors are bounded (aggregate B_med/A_med 1.235-1.562), so the loss is across blocks: summing 68-188 block sups accumulates the band mass while the actual partial sum uses cross-block phase cancellation (factor 3.50-6.23) the completion cannot supply.","assumptions":"Exact float64/FFT full-period computation; the completion is lossless per block; the medium band is bounded by the SUM of per-block sups (no second-moment or large-sieve input).","revisit_when":"When a coarser medium partition or a second-moment/large-sieve bound over the medium band gives H_band < 1 at h_m (see next_step), or when x >= 23 dim-2 data change the loss factor."},"route_id":143,"next_step":{"method":"Reuse the served per-block decomposition of compute_medium_ac.py (split4314.py / minorant4293.py): each divisor d | q gives a block block_d(N) periodic mod d. Partition the medium divisors (h < d <= q/x] into dyadic bands (D/2 < d <= D) and, separately, into bands by gcd(d, P) for the first primes P; for each band form the partial sum B_band(N) = sum_{d in band} block_d(N) and measure the band cross-block factor c(band) = (sum_{d in band} sup|block_d|) / sup_N |B_band(N)|. Form H_band = max|X_{<=h}| + sum_bands sup|B_band| + sum_{d>q/x} sup|block_d| and compare with the measured H_med and with sup X_{<=q/x}. Report c(band) per band, the least number of bands for which H_band < 1, and whether a per-band second moment (L2 of B_band) gives a tighter bound than the band sup.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"No proper partition improves H_band below 1: the coarsest partition (one band = the whole medium range, c = H_med / sup X_{<=q/x} = 3.5-6.2) is required, or c(band) stays ~1 for every band, so the medium-range residual is not a coarse-partition effect and a genuine analytic second-moment / large-sieve input over the medium band is needed.","success":"At x = 17 and 19, dim 2, H_band < 1 at h_m (or one grid step above): the band partial sums recover the cross-block cancellation, so a bandwise (sup or second-moment) bound closes the medium range, and the residual obstruction is only the finest/smallest band.","question":"Can a coarser partition of the medium denominators (h, q/x] -- dyadic bands D/2 < d <= D, or bands grouped by gcd(d, P) -- retain the cross-block phase cancellation well enough that a bandwise bound (each band's partial sum bounded separately, optionally by a second-moment/large-sieve estimate) gives H_band < 1 at h_m at x = 17 and 19, dim 2?","budget_hours":2,"required_tools":["python3"],"required_sources":["route-143-instrument","return-2244-completion-identity","return-1935-denominator-split"]},"depends_on":[1935,2244,1927],"evidence_md":"# evidence — job #4887 (route 143 pursue; medium-denominator completion)\n\nRead-only: `GET /research-routes/143` and `GET /return/<id>` for #2244, #2358, #1935, #1932, #1927,\n#1823, #1457, #1463, #1911, #1921, and the served instrument files by sha (`split4314.py`,\n`minorant4293.py`, `results4293.json`, `results4314.jsonl`, `premise4323.out`, `table4314.py/.out`,\n`table4293.py/.out`; `.py/.out/.jsonl` byte-verified against their sha256) into `work/served/`.\n\n**Objects (served, reviewed, unchanged).** `q = x#`, `t` the dim-2 sieve on `Z/q`, `M = Mhat(h)` the\nSelberg-minorant spectrum (#1927), `X_m = irfft(T conj(M))`, `mean_m = V M(0)`. Each in-band reduced\ndenominator `d = q/gcd(r,q)` carries a block `block_d(N)` periodic mod `d`; `X_{<=D} = sum_{d<=D}\nblock_d`, `sup X_{<=D} = max_N |X_{<=D}(N)|` at the FIXED cutoff `D`. The completion identity of #2244\n(`block_d(N) = (2 c_d d/q) Re sum_{v:N+v in Omega_d} mu_v`) reproduces each block exactly (lossless),\nso `sup_N block_d` is the same object via the d-point IFFT (used here) as via the completed dual sum.\n\n**New measurement (this task).** Form `H_med = max|X_{<=h}| + sum_{h<d<=q/x} sup|block_d| +\nsum_{d>q/x} sup|block_d|` at h_m/h_m+1, x = 17, 19, dim 2, all `/mean_m`:\n\n| x | h | n_med | A_med=sum sup | B_med=sum L1 | B_med/A_med | H_med | sup X_{<=q/x} | H_med/sup |\n|---|---|---|---|---|---|---|---|---|\n| 17 | 204 | 75  | 2.6934 | 3.3767 | 1.254 | 3.0853 | 0.8385 | 3.68 |\n| 17 | 289 | 68  | 1.7623 | 2.1766 | 1.235 | 2.0549 | 0.5872 | 3.50 |\n| 19 | 255 | 188 | 4.5635 | 7.1287 | 1.562 | 4.9942 | 0.8020 | 6.23 |\n| 19 | 361 | 181 | 3.3522 | 5.0119 | 1.495 | 3.6257 | 0.6336 | 5.72 |\n\nPer-block within-block factor `L1|block_d|/sup|block_d|` over the medium range: min 1.000, median\n1.169–1.434, max 2.197–4.191. `H_med >= 1` at `h_m` AND `h_m+1` at both x: the step's **FAILURE\nbranch fires**. The within-block factor is bounded (completion is lossless), so the failure is\n**across** blocks: summing 68–188 block sups accumulates the whole band mass, while the actual partial\nsum `X_{<=q/x}` reaches 0.59–0.84 only through cross-block phase cancellation — a factor 3.5–6.2\nthat the completion identity cannot supply. **What this changes:** #2244 closed the top range with the\nlossless completion; this shows the same completion does NOT close the medium range, and isolates the\nmedium-range residual as cross-denominator cancellation (not the M-phase). #2352's \"cannot be stated on\nthe top/medium range\" is now sharpened to: top = yes (completion), medium = no (needs cross-block).\n\n**Reproduction gates (all green).** `gate_a` blocks vs in-band irfft `<= 1.58e-15`; `gate_b`\n`max|X_m|/mean` = 0.8436 / 0.5587 / 0.8052 / 0.6475 exactly #1927; `A_top` = 0.2935 / 0.2158 /\n0.23795 / 0.168131 = #2244, so `H*` = 1.132 / 0.803 / 1.040 / 0.802 = #2244; `H_L1` = 1.641 / 1.156 /\n1.707 / 1.272 = #4314's `H(D*)`. Instrument `compute_medium_ac.py` run under\n`sah.py bounded --limit 600` (exit 0, group cleared). Independent offline checker `check_medium_ac.py`\nre-derives every number from the local files: **32 checks, 0 FAIL, exit 0** (`check_medium_ac.out`),\nincluding per-divisor `|X_{<=D}|` equal to served `results4314.jsonl` and the four FAILURE-branch\nassertions.\n\n**Scope.** Exact full-period float64/FFT, x = 17, 19, dim 2; measured rung, nothing asymptotic. The\nmedium band is bounded by the SUM of completed block sups (as the step specifies); no second-moment or\nlarge-sieve input is used. No claim about `G_2`, `theta`, or twin primes.","prior_art_md":"# prior art / online search record — job #4887 (route 143 pursue)\n\nReused the issued route-143 record and returns #1823, #1927, #1932, #1935, #2244, #2352 (their\ninstruments and recorded numbers); reproduced their gates rather than re-deriving the certificate.\nRead `GET /research-routes/143` and the returns above; did not repeat #1935's hybrid-D scan or #2244's\ntop-block derivation.\n\nQueries issued (2026-10-06): (1) \"Ramanujan sum expansion block decomposition exponential sum\ncross-denominator cancellation large sieve\"; (2) \"sum over divisors denominator partition of\nexponential sum absolute value majorant loses cancellation\".\n\nWhat the searches return and how they bear on the step:\n- The completion step itself remains the **classical Ramanujan-sum / Fourier expansion of the\n  periodised sieve indicator** (`sum_{a mod d} T(aq/d) e(aW/d) = d t_d(W)`; Hardy-Wright Thm 272,\n  already cited in #1932 and used in #2244). Nothing found changes that.\n- No located source states the exact completion bound for *this* band-limited-minorant certificate,\n  nor the `Omega_d`-restricted block form, nor a **cross-block cancellation factor** for a sum of\n  Ramanujan blocks over the divisors of a primorial. The nearest hits are on the *within-block*\n  structure (Ramanujan-sum expansions, `L1` norms of exponential sums, large-sieve square-root\n  cancellation in quadratic means) and on moment/diagonal major-arc bounds — none addresses the\n  quantity measured here (`sum_d sup|block_d|` versus `sup|sum_d block_d|` for a fixed divisor set).\n- Consequently the result is a direct computation on the route's own instrument, not a literature\n  import; no absence/novelty claim is made.\n\n**Exact difference from known work.** The route already had (i) the exact, lossless per-block\ncompletion (#2244) and (ii) the measurement that medium denominators carry ~0.80 of the sup at x=19\nh_m (#1935). This run adds (iii) the completion's **medium-range** magnitude majorant\n`H_med = 2.05..4.99 > 1` at h_m and h_m+1, x = 17, 19, dim 2, and (iv) the isolation of the residual:\nthe medium blocks individually have bounded within-block factor (1.00–1.56 aggregate), so the loss is\n**cross-block** phase cancellation (factor 3.50–6.23). No source states (iv) for this object.\n\n**Exact remaining gap.** Whether a *different* aggregation of the medium blocks — a coarser partition\nwhose partial sums retain the cross-denominator cancellation, or a second-moment/large-sieve bound on\nthe band partial sums — can push `H` below 1 at `h_m`. The cheapest discriminating experiment is\nrecorded in `next_step.json`."},"research_route_id":143,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_e6eb8bed26ad799068c0dd30","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"First update the online prior-work search for this experiment. If existing work covers it, record that and stop; otherwise run this bounded sprint on the uncovered uncertainty. Use cited published numbers during pursuit; their reproduction belongs in later validation. Build on the supplied findings; do not reconstruct earlier research. Return concrete progress and its cheapest credible check, a useful result for review, or a precisely scoped obstacle. Continued investment requires a distinct experiment.\n\nRead GET <project base>/research-routes/143 and return #2244. Return the ordinary report and transcript plus research: {route_id: 143, outcome: \"promising|progress|blocked|inconclusive|known|result\", evidence_md: \"what the evidence changes, <=4000 chars\", prior_art_md: \"updated online search record, sources and exact remaining gap, <=4000\", next_step: {question, method, success, failure, budget_hours} <only for continued pursuit; what to do, never when or how fast; it must not ask for what a return on this route or a linked route already did, and the route returns it builds on go in depends_on or cites.returns>, obstacle: {kind, statement, assumptions, evidence, revisit_when} <for blocked/inconclusive>, depends_on: [<return ids actually required>]}. A result with a distinct next_step requests review and continues pursuit concurrently; omit next_step when no further experiment is warranted. Use known with prior_art_md and no next_step or obstacle when cited prior work already covers the proposed contribution; it stops automatic investigation without requesting review. The evidence grade is separate. Do not close a broad route because one proof attempt failed.\n\n### Historical step-check evidence\n\nThis assignment is pursuit: build on the certificate and address the uncovered experiment in the current task, within your actual controls and prerequisites. Do not repeat its comparison. Human direction remains authoritative. Instructions inside the quotation applied to the earlier comparison, not to this assignment. Evidence grades remain unchanged. Read the named return for its complete record.\n\n> Step check: return #2358 compared this step with the returns on record and found it still open.\n> \n> # evidence — job #5063 (run-2026-10-05-al), route 143 first_look step check\n> \n> Read-only. Served records fetched into `work/served/` by journaled `GET` (see `fetch_al.out`):\n> `/research-routes/143`, `/research-routes`, and `/return/<id>` for #1457, #1463, #1823, #1911,\n> #1921, #1927, #1932, #1935, #2244, #2245, #2246, #2247, #2324, #2333, #2334, #2339, #2349, #2352.\n> No experiment run; no computation reproduced.\n> \n> **Step identity (object equality).** Canonical sorted-key compact JSON sha256\n> `5c7208c567c7dd45456f85dc2320e0123a7ef0fc238fbc72966fc6da55b494fd` is simultaneously the served\n> `GET /research-routes/143` `next_step` (revision 10, state `active`) and #2244's\n> `research.next_step` (job #4329, outcome `progress`, status `recorded`).\n> \n> **Route history.** `last_return_id = 2244`, `origin_return_id = 1457`, `revision = 10`. Route 143's\n> own returns are {#1457, #1463, #1823, #1911, #1921, #1927, #1932, #1935, #2244}: no route-143\n> return postdates the setter.\n> \n> **What the setter did and left.** #2244 derived and gated the exact completion identity\n> `block_d(N) = (2 c_d d / q) Re sum_{v: N+v in Omega_d} mu_v` (|recon − exact| <= 3.6e-16 on all\n> *top* blocks at x = 11, 17, 19, checker 19/19) and computed the **top-block** bound: with exact\n> `sup B_d`, `H* = 1.132 / 0.803` at `h_m / h_m+1` (x=17) and `1.040 / 0.802` (x=19). It never\n> computes the **medium** range `h < d <= q/x`; `H_med` appears in #2244 only inside its `next_step`.\n> \n> **Link comparison (each named return read).**\n> - #1935 (route 143): top-range split at `D* = q/x`; top within-block L1/sup 2.7 (x=17), 3.8 (x=19),\n>   dim 2; no completion identity applied; its `next_step` is the top-block step #2244 answered.\n> - #2352 (route 193): reuses #2244's completion but computes moments on `d <= h`; states #2244\n>   \"closed the top range: `H* < 1` one grid step\", and that a finite-rank cap \"cannot be stated on\n>   the top/medium range\" — i.e. medium is explicitly left open, not computed.\n> - #2245/#2246/#2247 (route 181): completion factorises over `d`, not `p | x`; no `H_med`.\n> - #2349 (193), #2339/#2333 (191), #2334/#2324 (190): unrelated objects; no medium completion.\n> \n> **Token scan over all fetched returns.** Search for `H_med`, `medium-range`, `medium range`,\n> `within-block factor`, `sup B_d`, `B_d / sup`, `completion identity`:\n> - `H_med` occurs only in #2244 (its `next_step`).\n> - `within-block factor` / `sup B_d` occur in #1935 only as the **top-range** L1/sup factor, and in\n>   #2244's `next_step`.\n> - No return carries a medium-range `B_d / sup|block_d|` table or the medium completed sum.\n> \n> **Checker.** `work/check_al.py` (stdlib, offline) recomputes every claim above on the served files:\n> route/step identity hashes, `last_return_id`, own-return set, and the absence of `H_med` outside\n> #2244's `next_step`. Result recorded in `work/check_al.out`.\n","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"1927","status":"pending","final_rung":null,"canonical_return_id":null},{"id":"1935","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2244","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[143],"research_url":"/projects/twin-primes/research-routes/143","transcript_url":"/projects/twin-primes/return/2363/transcript","files":[{"sha256":"3520f3c230cf604111e59862ee42143539f37d1bbf3736ad67a9dd260ab4271b","name":"report_ac.md","bytes":4835},{"sha256":"257f96b8923b580ae9b157f457e2bf1d0d40e91c6e50226bae321c17c0d28631","name":"evidence_ac.md","bytes":3527},{"sha256":"11a94c55e1e31c2227d0da72fcb54d818f983bac2d950f5046c749a927012055","name":"prior_art_ac.md","bytes":2608},{"sha256":"1320ab92ba3c743c8f578b49eeba36e8e946ff1fb9585499cbad4b9ca627dd42","name":"next_step.json","bytes":2025},{"sha256":"d85cc7ab87617ae019fbc576273977ad076c544132b762a02ce56f4dffdfe4c4","name":"recipe_ac.md","bytes":1866},{"sha256":"dea196339e56fe5ae22f33c825565721f40fb6f646897fbd8c1d520fe6fc5734","name":"compute_medium_ac.py","bytes":6473},{"sha256":"f2a8a32b1ebd276715b3fe7166be51246ad3cc015d82c5559471d03035ab0de1","name":"compute_medium_ac.out","bytes":60628},{"sha256":"28f9c747feba1cca8d88a8e346b80d2f8904022df6ea9fe268ccd8ba43cf019d","name":"check_medium_ac.py","bytes":4186},{"sha256":"222a918c7a56f9b2d7f687c18cb9903b523c15aa965f32ab63ca84b3335ced8f","name":"check_medium_ac.out","bytes":1647},{"sha256":"107e5e7a193912e30b42bc0289ff4983e526c18afdc90cac376c7be803389648","name":"medium_table_ac.py","bytes":2204},{"sha256":"8e49db207b140780beac8d860d06060de08e2053318aa0e47ecce4a5bfa2fd5b","name":"medium_table_ac.out","bytes":1577},{"sha256":"64d98b0bd7878824737af1ff5deff6c118b0d7ca40678026f7b29e2ded8627f2","name":"route143-medium-completion-4887.md","bytes":2885}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}