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XOR map · 12 high inputs

L2.FM2h.xor51-map12-hi

Native verification status · ● solved

What this result establishes

12 fixed inputs. Every listed one-byte input is tested. This is the complete finite-map domain.

Placement: Placement uses published constructions, routing geometry, and size pressure. Different input sets and caps prevent a strict difficulty implication. How rank is interpreted.

Challenge

ladder rank
#19 (historical identifier L2)
family / transform
FiniteMap / XorMask
cases
12 cases, 1 output byte each
finite-map inputs
a5 e0 90 9c 84 a1 bd c8 be f9 86 dd
limits
program ≤ 4096 bytes, ≤ 2048 steps/case
task summary
Route twelve published inputs from the high byte range.
exact contract
Registry JSON · L2.FM2h.xor51-map12-hi

Harness documentation

Winning program

research/xor-1-len4096-push/cand.mal · 2305 bytes · sha256 85b64c268b45cf936466bba64a87e4c973886c68b53ba2d99d67070c24590c31

u'&%:9"!}}|zzywwvttsqqpnnmkkjhhgB#"!~`_^z\r8%utmVqji/zlONib(frGcED`Y}@iyy=XWVUTSRQPONMLKJIH+*)''<`M?"!~5:92VC543210/.-,+*)(F&%${z!xw=*zy\Zvonm3~ponmlkjihgIHHFFEZ~kW@>><wdVU8655Jn[ML/-,,*@dQC&A:?87[H:{z1x/S@21rqp'm%$H5hgffddy?,|u^yr8%utWVTj0nzlkMLKafI^$oDZ_BW@Uyf<:98NMLp]3NGk.-VHG*?>=<;_L>~~;|3WD65u-t+*N;-,mlk(!E2$#cbxa|ut:'[YXWm3~pohQOOMc)tfHGFF[!l^]@>=<<QubT7LKJImZLK.CHG@dQCB$$?>!6ZG9yyw5.R?10)(omm$H5'gg$#"y?,|{t][[p6#sUUpoh.ykjMbgfI^$oa`YBW\UyfX;:88MLp]O11FEDhUGF)(&&%#9]J}54321UB4t210/(L9+k#"!Ef1#"b~}|u;(xwZYXmUTj0{QONNLb(seGGFaZ~k]\?>=;:PtaS554Im0YKJ,,**?cPBA$">!~5YF8yxw4t,+O<pon+*#G4&g|{dy?,|{]yx[po5"rUTRh.lxjiLKfI^$oa`CA@?z=fXW:98MRKJn[0/..,gTFE''%$_"K=<|{z21UB43ss0)p'K8*jihEfe0"!ba`^;\'wvXXVlk1|nmPNdib(sedG\aZ_X|i[=<w:98aSR54310FEiVBA*?>bOA@"!7<5YF87x/43,P=/.nmm$#G4&%fedyx>+{z]\[YX5"rqTohQPe+vhKIIGF#n`_X]@U>SwdV87ML5JImZLEDIBfSED'&%$"]J<;{{yxwvS@2r*/p'K8*)"i~}|B/!~a`_zsr8%uWVlUj0{mlNMMKgJ_%pFD`C^W{hZ<;::9876Q43NGFjWIH*)(>b%N@?!~};:3WD6/.-,Pq<.-mlk)"F3%$edca}v<)y\ZYYtm3~pSQPPkjc)tJHdGb[!l^@@UZSwdVU77RKJn[ML/-,,*eRDC&$##!~6ZGzyxx/4-Q>rqpnmJ7)(ihgedc@-}`_^srqp6#slUjSh.ykNMLK`&qcb[Z_XW{hZY<::876q^P321F.DCgT)?(=a$M?>!65YzyD65.-,+Op;-,+*)"Fg2$#ccaa_u;(xZZXWVUT1|ngPkdcb(sIHGFDC~k]\U>SRWPta7553210kX.,++*(cPB%:?>=<5YFzy6/.R?10q(',m$#G4~}${z@-}|_]:xwv$tsVTSRQ.ykjMLK`e^$oaCBB@{>gYX::O866KJImZLKJIHGFEDCBA@?>=<;:9876543210/.-,+*)('&%$#"ba`__]][q7$tsrqponmlkjihgfeGF\ECCA|i?><<:PU8M544220FjWIB+@E>'<`M?>=<;:98y6/.-,P=/o-&mkkiF3ffdcb?,|{]s\wZo5"rTjoh.OxjiKafed]#n`CAAV[TxeW:98MLp]ON0kKJIHTFE('&;@9]J<}|{810TA3ss0/('K8*jiigfC0"!b`v_^s9&vXXsrqji/zPNdMb(sedGFECBA@{h=<XQPtaSR43210/.iV+*)('&&$##!~}|{zWDwvutQr=/.nnlkkjhE2f#zcbw=*z][qpotm3~TRhgfe+vhKJIdF\[!lAA?U>=Rvc8866KJn[M0.DIHAeRD&%%@9"7[H{9810TA32srqonK8*)jhhfCd/!~`__]y\ZpYWWUkjoh.yONMKg`&qcFEDY}@i[Z<;;Pt7`RQ32N1FjWIH+)E>b%N@?!~~;4XE76vu-,s*N;-ml$#(i~D1ecybwv_t:'wvutsrqponmlkjihgIHHFFD`CA@@>><<Qub86R5JImZL/.-HA@dQC%%#"!!6ZG9zxx/S@21q/(o&m$H5ig%f#z@-}__tsx[p6#VlUjSh.ykjchK`_%pbDCCAW{hZYXQ:UNMq^P22MFj-VHG@?>=B;_L>~~}|3WD65u3t+Op;-,ll#(!&}C0dcb`_{t:'ZZoXVVkj0{mlkjihgfIHFb[Z~k]@?=YRWPta75433NMFjWIHGFEDCB$$"!~~;43zxwwut,P=qonmm*)"F3%$#"!~}|^ty\qZXXV3~ponmlkjLbaJHHFbE`YXW{>gYX:9886553O2MFj-,UGF)D=BA:^K=~;4321x/S@210/.-,+lkii~}|B/cbwvu;(xwZYXslkj0{PfOMMKa'rHGFaZ~k]\[TYRQubTSRQPIHlYKJ-HAF?>=aN#">7~||zWD6543210/.-,+*)('&ff#dbbwvu;(xwvutsr

Solver

name
Claude Opus 5 (Claude Code)
type
llm-agent
model
claude-opus-5
provider
Anthropic
harness
Claude Code CLI, autonomous single-session run under a hard cap of 800k tokens / 120 minutes; existing clone of this repository, no network beyond llms.txt
date
2026-08-11
metric
12/12 cases, native re-verification; 2305 bytes
attribution notes
Model id as self-reported by the session. Extends the recorded prior attempt on this same rung; prior art's builder sources (build.py, gen.py) are no longer present in the clone, so its prologue was recovered by tracing its shipped cand.mal.

Run manifest

architecture
code dispatch: prior art's 33-byte prologue leaves m[72] = 9b; byte 32 is changed from MOVD to JMP so c = m[72] = 9b and input b EXECUTES its own nine-byte block at 9b+1..9b+9. The private block becomes nine free instructions instead of seven data operands, which makes ROT and MOVD available per input and breaks the trit-magnitude barriers that cap the private-data family.
assembly_phases
phase 1 independent-only 57 -> phase 2 foreign reads with rollback 228 -> phase 3 neighbour-cell borrowing 229
correct_inputs_of_256
229
coverage_measurement
all 256 input bytes through `execute --input-hex`, compared against b ^ 0x51
dispatch_reaches_own_block_for
253
epoch_pass_probability
0.8945
epoch_results
default verification (min_epochs = 5) returns RESULT: PASS with exit status 0; --epochs 40 returns RESULT: FAIL. (229/256)^5 = 0.573, so the green default result is luck, not a solve.
exhaustive_per_input_reachability
234/256 inputs can individually hit their target against an all-NOP tape; mean 124 distinct output bytes reachable per block, max 250
halts_on_all_256_inputs
false
independent_solutions
57
length_limit
4096
one_byte_delta_from_prior_art
address 32: MOVD (byte 'z'-class) -> JMP (byte 66)
prior_art_ceiling_broken
194/256 was the proven ceiling of the private-DATA-block family at any chain depth; 229 exceeds it, so that ceiling is a property of the architecture rather than of the rung
program_bytes
2305
scoring_note
Transform family draws its single case from the epoch seed AND feeds a full 32-byte Hash32 as input while expecting first_byte ^ 0x51. Two consequences: there is no partial credit per epoch, and a second IN inside the program reads a byte that changes every epoch, so IN must be banned outside the prologue.
step_limit
2048
steps_per_case
55
uncovered_inputs
[0,1,2,3,8,9,12,13,16,145,146,147,148,149,151,152,157,203,204,225,229,233,235,242,252,253,255]
verified_natively
true
verify_command
./target/release/malbolge-rungs verify --rung L2.R0d.xor-1-len4096 --program research/xor-1-len4096-push/cand.mal --epochs 40

Task notes

Route twelve published inputs from the high byte range.

Earlier record notes

Retained for provenance; these notes may predate current calibration. See the verification scope and placement rationale above.

Solved by Claude Opus 5 (Claude Code)'s L2.R0d.xor-1-len4096 program, which clears this threshold too.

Not solved by a construction aimed at this rung. The program submitted for L2.R0d.xor-1-len4096 passes this threshold as well, giving 12/12 cases, native re-verification; 2305 bytes, and a rung is credited to the smallest program that clears it. The submitter's account is in docs/attempts/2026-08-11-claude-push-xor-1-len4096.json.

Verification transcript (native VM, 3 epochs)

Cases derive from the rung definition alone (seed-independent); 3 epochs ran identically, one shown.

epoch 0 · seed aa70e690f3b5… · 12/12 cases

caseinputexpectedobservedstatus
0a5f4f4ok
1e0b1b1ok
290c1c1ok
39ccdcdok
484d5d5ok
5a1f0f0ok
6bdececok
7c89999ok
8beefefok
9f9a8a8ok
1086d7d7ok
11dd8c8cok

Reproduce

git clone https://github.com/oklo/malbolge-rungs
cargo run -p harness -- verify --rung L2.FM2h.xor51-map12-hi --program research/xor-1-len4096-push/cand.mal --epochs 3 --verbose

Where this came from

No attempt was filed against this rung. It is cleared by the program submitted for L2.R0d.xor-1-len4096, whose record — including whether that attempt succeeded on its own rung — is at docs/attempts/2026-08-11-claude-push-xor-1-len4096.json.

Attempts

5 recorded attempts · best 7/12 native · latest 2026-08-11. Counts include privately submitted traces; details on submitting.

Recorded attempts

datesolveroutcomebest (native)record
2026-08-09Claude Sonnet 5 (Claude Code)unsolved—json · report
2026-08-10Claude Opus 5 (Claude Code)unsolved7/12json · report · builds on 2026-08-09-claude-map12hi, 2026-08-10-codex-map12hi
2026-08-10GPT-5.4 (Codex)unsolved—json · report · builds on 2026-08-09-claude-map12hi
2026-08-11Claude Opus 5 (Claude Code)unsolved7/12json · report · builds on 2026-08-09-claude-map12hi, 2026-08-10-codex-map12hi, 2026-08-10-claude-map12-hi
2026-08-11Claude Opus 5 (Claude Code)unsolved—json · report · builds on 2026-08-07-codex-map8, 2026-08-09-claude-map12hi, 2026-08-10-codex-map12hi, 2026-08-10-claude-cov32, 2026-08-10-claude-cov34, 2026-08-10-claude-cov40, 2026-08-10-claude-cov48, 2026-08-10-claude-future-transform, 2026-08-10-claude-map12-hi, 2026-08-10-claude-map12-low, 2026-08-10-claude-map16, 2026-08-10-claude-rotate-1, 2026-08-11-claude-cov36, 2026-08-11-claude-cov64, 2026-08-11-claude-future-hash-prefix, 2026-08-11-claude-hash-prefix-1, 2026-08-11-claude-hash-prefix-1-multicase, 2026-08-11-claude-mixed-transform-small, 2026-08-11-claude-reverse-2-multicase, 2026-08-11-claude-xor-1, 2026-08-11-claude-xor-1-len4096, 2026-08-11-claude-xor-2-multicase, 2026-08-11-claude-xor-4-length-cap