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6x6 (SSSP DP + syllable conjugations): 3x3->4x4 GN<=20
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| import java.util.*; | |
| public class SSSP { | |
| public static final boolean inRange(int v, int N) { return 0<=v && v<N; } | |
| public static final boolean inRange(long v, long N) { return 0<=v && v<N; } | |
| public static final boolean allInRange(int[] S, int N) { | |
| for (int v:S) if (!inRange(v,N)) return false; | |
| return true; | |
| } | |
| public static final int[] range(int n) { | |
| int[] out=new int[n]; | |
| for (int i=0; i<n; i++) out[i]=i; | |
| return out; | |
| } | |
| public static final int[] list2arr(List<Integer> L) { | |
| int[] A=new int[L.size()]; | |
| for (int i=0; i<A.length; i++) A[i]=L.get(i); | |
| return A; | |
| } | |
| public static final int[] set2sortedArr(Set<Integer> S) { | |
| List<Integer> vals=new ArrayList<>(S); | |
| Collections.sort(vals); | |
| return list2arr(vals); | |
| } | |
| public static int[][] fromto_idx(Set<Integer> S, int N) { | |
| for (int v:S) if (!inRange(v,N)) throw new RuntimeException(); | |
| int[] idx2set= set2sortedArr(S); | |
| final int INVALID=-1; | |
| int[] set2idx=new int[N]; Arrays.fill(set2idx,INVALID); | |
| for (int i=0; i<idx2set.length; i++) | |
| set2idx[idx2set[i]]=i; | |
| return new int[][] {idx2set,set2idx}; | |
| } | |
| public static final Set<Integer> set(int... vals) { | |
| Set<Integer> out=new HashSet<>(); | |
| for (int v:vals) out.add(v); | |
| return out; | |
| } | |
| public static final Set<Integer> difference(Set<Integer> A, Collection<Integer> B) { | |
| Set<Integer> out=new HashSet<>(A); | |
| out.removeAll(B); | |
| return out; | |
| } | |
| public static int[] concat(int[] A, int[] B) { | |
| int[] out=Arrays.copyOf(A,A.length+B.length); | |
| System.arraycopy(B,0,out,A.length,B.length); | |
| return out; | |
| } | |
| private static class BigByteArray { | |
| private static final int CHUNK_SIZE=1<<30; | |
| public final long N; | |
| public byte[][] chunks; | |
| public BigByteArray(long N, int val) { | |
| if (val!=(byte)val) throw new RuntimeException(""+val); | |
| this.N=N; | |
| chunks=new byte[(int)(N/CHUNK_SIZE)+1][]; | |
| for (int c=0; CHUNK_SIZE*(long)c<N; c++) { | |
| long lo=CHUNK_SIZE*(long)c; | |
| chunks[c]=new byte[(int)( Math.min(N,lo+CHUNK_SIZE)-lo )]; | |
| } | |
| for (byte[] chunk:chunks) Arrays.fill(chunk,(byte)val); | |
| } | |
| public byte get(long i) { | |
| if (!inRange(i,N)) throw new RuntimeException(); | |
| return chunks[(int)(i/CHUNK_SIZE)][(int)(i%CHUNK_SIZE)]; | |
| } | |
| public void set(long i, int v) { | |
| if (!inRange(i,N)) throw new RuntimeException(); | |
| if (v!=(byte)v) throw new RuntimeException(""+v); | |
| chunks[(int)(i/CHUNK_SIZE)][(int)(i%CHUNK_SIZE)]=(byte)v; | |
| } | |
| } | |
| private static final int[] prod(int[] A, int[] B) { | |
| int[] C=new int[B.length]; | |
| for (int i=0; i<B.length; i++) C[i]=A[B[i]]; | |
| return C; | |
| } | |
| private static class Move { //single-move permutation on a RxC loopover board | |
| public static final int mod(int n, int k) { return ((n%k)+k)%k; } | |
| public final int R, C, N; | |
| public final boolean row_shift; | |
| public final int coord; public final boolean backwards; | |
| public Move(int R, int C, boolean row_shift, int coord, boolean backwards) { | |
| if (R<=0 || C<=0) throw new RuntimeException(); | |
| if (!inRange(coord,row_shift?R:C)) throw new RuntimeException(); | |
| this.R=R; this.C=C; N=R*C; | |
| this.row_shift=row_shift; | |
| this.coord=coord; | |
| this.backwards=backwards; | |
| } | |
| public boolean same_dimensions(Move o) { | |
| return R==o.R && C==o.C; | |
| } | |
| public Move inv() { | |
| return new Move(R,C,row_shift,coord,!backwards); | |
| } | |
| public int move(int v) { | |
| if (!inRange(v,N)) throw new RuntimeException(); | |
| int r=v/C, c=mod(v,C); | |
| int shift=backwards?-1:1; | |
| if (row_shift) { | |
| if (coord==r) c=mod(c+shift,C); | |
| } | |
| else { | |
| if (coord==c) r=mod(r+shift,R); | |
| } | |
| return r*C+c; | |
| } | |
| public int[] action() { | |
| int[] out=new int[N]; | |
| for (int i=0; i<N; i++) out[i]=move(i); | |
| return out; | |
| } | |
| public String toString() { | |
| return String.format("%d%s%s", coord, row_shift?"R":"C", backwards?"'":""); | |
| } | |
| public static int glice_cost(int R, int C, boolean row_shift, int shift) { | |
| int period=row_shift?C:R; | |
| int normalized_shift=mod(shift,period); | |
| return Math.min(normalized_shift,period-normalized_shift); | |
| } | |
| public static List<Move> glide(int R, int C, boolean row_shift, int coord, int shift) { | |
| int period=row_shift?C:R; | |
| int normalized_shift=mod(shift,period), back_shift=period-normalized_shift; | |
| boolean bkwd=normalized_shift>back_shift; | |
| int reps=Math.min(normalized_shift,back_shift); | |
| List<Move> out=new ArrayList<>(); | |
| for (int i=0; i<reps; i++) out.add(new Move(R,C,row_shift,coord,bkwd)); | |
| return out; | |
| } | |
| public static List<Move> concat(List<List<Move>> seqs) { | |
| List<Move> out=new ArrayList<>(); | |
| for (List<Move> seq:seqs) out.addAll(seq); | |
| return out; | |
| } | |
| public static List<Move> inv(List<Move> mvs) { | |
| List<Move> out=new ArrayList<>(); | |
| for (int i=mvs.size()-1; i>=0; i--) | |
| out.add(mvs.get(i).inv()); | |
| return out; | |
| } | |
| public static List<Move> conj(List<Move> A, List<Move> B) { | |
| return concat(Arrays.asList(A,B,inv(A))); | |
| } | |
| public static int[] action(int R, int C, List<Move> mvs) { | |
| for (Move mv:mvs) if (mv.R!=R || mv.C!=C) throw new RuntimeException(); | |
| int[] out=range(R*C); | |
| for (Move mv:mvs) out=prod(out,mv.action()); | |
| return out; | |
| } | |
| } | |
| public static String displayRegion(int R, int C, int[] pcs) { | |
| boolean[] board=new boolean[R*C]; | |
| for (int pc:pcs) board[pc]=true; | |
| StringBuilder s=new StringBuilder(); | |
| for (int r=0; r<R; r++) { | |
| if (r>0) s.append("\n"); | |
| for (int c=0; c<C; c++) | |
| s.append(board[r*C+c]?"#":"."); | |
| } | |
| return s.toString(); | |
| } | |
| public static String displayScramble(int R, int C, int[] pcs, int[] locs) { | |
| if (pcs.length!=locs.length) throw new RuntimeException(); | |
| System.out.println(Arrays.toString(pcs)+"-->"+Arrays.toString(locs)); | |
| final int BLANK=-1; | |
| int[] board=new int[R*C]; Arrays.fill(board,BLANK); | |
| for (int i=0; i<pcs.length; i++) | |
| board[locs[i]]=pcs[i]; | |
| boolean alphaMode=R*C<=26; | |
| int CHARS_PER_CELL=alphaMode?1:(1+(R*C+"").length()); | |
| String CELL_FORMAT="%"+CHARS_PER_CELL+"s"; | |
| StringBuilder s=new StringBuilder(); | |
| for (int r=0; r<R; r++) { | |
| if (r>0) s.append("\n"); | |
| for (int c=0; c<C; c++) { | |
| int pc=board[r*C+c]; | |
| s.append( | |
| String.format(CELL_FORMAT, | |
| pc==BLANK? ".": alphaMode? (""+(char)('A'+pc)): (pc+1) | |
| ) | |
| ); | |
| } | |
| } | |
| return s.toString(); | |
| } | |
| //bijection {K-length lists of numbers in [0,N)} <--> [0,(N choose K)*K!) | |
| //must have (N choose K)*K! < Integer.MAX_VALUE for these methods to work properly | |
| private static final long perm2code(int N, int[] P) { | |
| //transform list L=[0,...,N-1] to [....]|P using swaps (i,J_i) for i=N-1...N-K; | |
| // then encode [J_{N-1},...J_{N-K}] as a number using mixed-radix valuation | |
| if (!allInRange(P,N)) throw new RuntimeException(); | |
| int[] L=range(N), locInL=range(N); | |
| int K=P.length; | |
| long out=0, pow=1; | |
| for (int i=N-1, pi=K-1; i>=N-K; i--, pi--) { | |
| int j=locInL[P[pi]]; | |
| int Li=L[i], Lj=L[j]; | |
| if (Lj!=P[pi]) throw new RuntimeException(); | |
| L[i]=Lj; L[j]=Li; | |
| locInL[Li]=j; locInL[Lj]=i; | |
| out+=j*pow; | |
| pow*=(i+1); | |
| } | |
| return out; | |
| } | |
| private static final int[] code2perm(int N, int K, long code) { | |
| int[] L=range(N); | |
| for (int i=N-1; i>=N-K; i--) { | |
| int j=(int)(code%(i+1)); | |
| int Li=L[i], Lj=L[j]; | |
| L[i]=Lj; L[j]=Li; | |
| code/=(i+1); | |
| } | |
| if (code!=0) throw new RuntimeException(""+code); | |
| return Arrays.copyOfRange(L,N-K,N); | |
| } | |
| public static int SSSP(int R, int C, int[] start, int[] end, List<List<Move>> seqs0) { | |
| System.out.printf("%dx%d: %s --> %s%n%s%n-->%n%s%n", | |
| R,C,Arrays.toString(start),Arrays.toString(end), | |
| displayRegion(R,C,start),displayRegion(R,C,end) | |
| ); | |
| if (!allInRange(start,R*C) || !allInRange(end,R*C)) throw new RuntimeException(); | |
| for (List<Move> seq:seqs0) for (Move mv:seq) if (mv.R!=R || mv.C!=C) throw new RuntimeException(); | |
| //process actions | |
| int nActs; List<List<Move>> canonical_seqs; int[][] canonical_acts; int[] canonical_costs; { | |
| int[] ID_ACT=range(R*C); | |
| Map<String,List<Move>> act2seq=new HashMap<>(); | |
| for (boolean inv:new boolean[] {false,true}) //include both actions and their inverses | |
| for (List<Move> seq0:seqs0) { | |
| List<Move> seq=inv?Move.inv(seq0):seq0; | |
| int[] act=Move.action(R,C,seq); | |
| //every action we use must preserve every element in the start array | |
| // and not be equal to the identity (do-nothing) action | |
| if (Arrays.equals(prod(act,start),start) && !Arrays.equals(act,ID_ACT)) { | |
| String act_s=Arrays.toString(act); | |
| if (!act2seq.containsKey(act_s) | |
| || seq.size()<act2seq.get(act_s).size()) | |
| act2seq.put(act_s,seq); | |
| } | |
| } | |
| canonical_seqs=new ArrayList<>(); { | |
| List<String> act_ss=new ArrayList<>(act2seq.keySet()); | |
| Collections.sort(act_ss); | |
| for (String act_s:act_ss) | |
| canonical_seqs.add(act2seq.get(act_s)); | |
| } | |
| System.out.printf("#canonical_seqs=%d%ncanonical_seqs=%s%n",canonical_seqs.size(),canonical_seqs); | |
| nActs=canonical_seqs.size(); | |
| canonical_acts=new int[nActs][]; canonical_costs=new int[nActs]; | |
| for (int i=0; i<nActs; i++) { | |
| List<Move> seq=canonical_seqs.get(i); | |
| canonical_acts[i]=Move.action(R,C,seq); | |
| canonical_costs[i]=seq.size(); | |
| } | |
| for (int[] act:canonical_acts) | |
| if (!Arrays.equals(prod(act,start),start)) | |
| throw new RuntimeException(); | |
| Map<Integer,Integer> cost_freq=new TreeMap<>(); | |
| for (int c:canonical_costs) | |
| cost_freq.put(c,cost_freq.getOrDefault(c,0)+1); | |
| System.out.printf("cost_freq=%s%n",cost_freq); | |
| } | |
| int[][] act_idxs_with_cost; int max_act_cost; { | |
| Map<Integer,Set<Integer>> ais_by_cost=new HashMap<>(); | |
| for (int a=0; a<nActs; a++) { | |
| int cost=canonical_costs[a]; | |
| if (!ais_by_cost.containsKey(cost)) ais_by_cost.put(cost,new HashSet<>()); | |
| ais_by_cost.get(cost).add(a); | |
| } | |
| max_act_cost=0; for (int c:canonical_costs) max_act_cost=Math.max(max_act_cost,c); | |
| act_idxs_with_cost=new int[max_act_cost+1][]; | |
| for (int c:ais_by_cost.keySet()) | |
| act_idxs_with_cost[c]=set2sortedArr(ais_by_cost.get(c)); | |
| if (act_idxs_with_cost[0]!=null) | |
| throw new RuntimeException(); | |
| for (int c=0; c<=max_act_cost; c++) | |
| if (act_idxs_with_cost[c]!=null) | |
| for (int a:act_idxs_with_cost[c]) | |
| if (canonical_costs[a]!=c) throw new RuntimeException(); | |
| } | |
| //dijkstra | |
| int N=R*C; | |
| int[] ri2loc, loc2ri; { | |
| int[][] fromto=fromto_idx(difference(set(range(N)),set(start)),N); | |
| ri2loc=fromto[0]; loc2ri=fromto[1]; | |
| System.out.printf("ri2loc=%s loc2ri=%s%n",Arrays.toString(ri2loc),Arrays.toString(loc2ri)); | |
| } | |
| class Config2Code { | |
| public final int nRem=N-start.length, nBridge=end.length-start.length; | |
| public long config2code(int[] config) { | |
| if (config.length!=nBridge) throw new RuntimeException(); | |
| return perm2code(nRem,prod(loc2ri,config)); | |
| } | |
| public int[] code2config(long code) { | |
| return prod(ri2loc,code2perm(nRem,nBridge,code)); | |
| } | |
| } Config2Code $=new Config2Code(); | |
| //assert that set(end) is a strict superset of set(start) | |
| if (difference(set(start),set(end)).size()!=0 || end.length<=start.length) throw new RuntimeException(); | |
| int[] bridge=set2sortedArr(difference(set(end),set(start))); | |
| System.out.printf("bridge=%s%n",Arrays.toString(bridge)); | |
| long nconfigs=1; for (int i=N-start.length; i>N-end.length; i--) nconfigs*=i; | |
| System.out.printf("nconfigs=%d%n",nconfigs); | |
| if (nconfigs>=(1L<<40)) throw new RuntimeException(); | |
| final int INVALID_DIST=-1; | |
| BigByteArray dists=new BigByteArray(nconfigs,INVALID_DIST); | |
| dists.set($.config2code(bridge),0); | |
| System.out.println("dist=0 size=1"); | |
| long st=System.currentTimeMillis(), mark=0; | |
| for (int dist=1;; dist++) { | |
| if (dist>Byte.MAX_VALUE) throw new RuntimeException(); | |
| //find all vertices of distance dist from source | |
| boolean have_unreached_nodes=false, have_pending_edges=false; | |
| long out_dp_cost=0, in_dp_cost=0; | |
| for (long code=0; code<nconfigs; code++) { | |
| int d=dists.get(code); | |
| have_unreached_nodes|=(d==INVALID_DIST); | |
| have_pending_edges|=(d!=INVALID_DIST && d+max_act_cost>=dist); | |
| if (d==INVALID_DIST) | |
| in_dp_cost+=nActs; | |
| else { | |
| int c=dist-d; | |
| if (c>=0 && c<=max_act_cost && act_idxs_with_cost[c]!=null) | |
| out_dp_cost+=act_idxs_with_cost[c].length; | |
| } | |
| } | |
| if (!have_unreached_nodes || !have_pending_edges) break; | |
| //decide whether to evaluate DP at this dist directly or by expanding from previous layers of DP | |
| System.out.printf("dist=%d\n\tout_dp_cost=%d in_dp_cost=%d%n",dist,out_dp_cost,in_dp_cost); | |
| long work=0; | |
| if (out_dp_cost<=in_dp_cost) { | |
| for (long code=0; code<nconfigs; code++) { | |
| int d=dists.get(code); | |
| if (d!=INVALID_DIST && d<dist) { | |
| if (work%128==0) { | |
| long t=System.currentTimeMillis()-st; | |
| if (t>=mark) { | |
| System.out.printf("\ttime=%d work=%d dist=%d%n",t,work,dist); | |
| while (t>=mark) mark+=mark<100_000?10_000:mark<1000_000?100_000:mark<10000_000?1000_000:10000_000; | |
| } | |
| } | |
| int[] config=$.code2config(code); | |
| int c=dist-d; | |
| if (c>=0 && c<=max_act_cost && act_idxs_with_cost[c]!=null) | |
| for (int a:act_idxs_with_cost[c]) { | |
| long ncode=$.config2code(prod(canonical_acts[a],config)); | |
| if (d+canonical_costs[a]!=dist) throw new RuntimeException(); | |
| if (dists.get(ncode)==INVALID_DIST) | |
| dists.set(ncode,dist); | |
| work++; | |
| } | |
| } | |
| } | |
| } | |
| else { | |
| for (long code=0; code<nconfigs; code++) { | |
| int d=dists.get(code); | |
| if (d==INVALID_DIST) { | |
| if (work%128==0) { | |
| long t=System.currentTimeMillis()-st; | |
| if (t>=mark) { | |
| System.out.printf("\ttime=%d work=%d dist=%d%n",t,work,dist); | |
| while (t>=mark) mark+=mark<100_000?10_000:mark<1000_000?100_000:mark<10000_000?1000_000:10000_000; | |
| } | |
| } | |
| int[] config=$.code2config(code); | |
| for (int a=0; a<nActs; a++) { | |
| long ocode=$.config2code(prod(canonical_acts[a],config)); | |
| int od=dists.get(ocode); | |
| if (od+canonical_costs[a]==dist) | |
| dists.set(code,dist); | |
| work++; | |
| } | |
| } | |
| } | |
| } | |
| System.out.printf("\ttime=%d work=%d dist=%d%n",System.currentTimeMillis()-st,work,dist); | |
| long cnt=0; | |
| for (long code=0; code<nconfigs; code++) | |
| if (dists.get(code)==dist) | |
| cnt++; | |
| System.out.printf("\tdist=%d size=%d t=%d%n",dist,cnt,System.currentTimeMillis()-st); | |
| } | |
| System.out.printf("time=%d%n",System.currentTimeMillis()-st); | |
| long cnt=0; | |
| for (long code=0; code<nconfigs; code++) | |
| if (dists.get(code)!=INVALID_DIST) | |
| cnt++; | |
| if (cnt!=nconfigs) | |
| System.out.printf("WARNING: (# of configs found)=%d != %d=(expected # of configs)%s%n", | |
| cnt,nconfigs,2*cnt==nconfigs?" (parity restriction?)":""); | |
| int diam=0; | |
| Map<Integer,Integer> depth_freq=new TreeMap<>(); | |
| for (long code=0; code<nconfigs; code++) { | |
| int d=dists.get(code); | |
| if (d!=INVALID_DIST) { | |
| diam=Math.max(diam,d); | |
| depth_freq.put(d,depth_freq.getOrDefault(d,0)+1); | |
| } | |
| } | |
| System.out.printf("diameter=%d%ndepth_freq=%s%n",diam,depth_freq); | |
| //print an antipode | |
| class Solver { | |
| public List<List<Move>> sol(long code) { | |
| if (dists.get(code)==INVALID_DIST) throw new RuntimeException(); | |
| List<List<Move>> out=new ArrayList<>(); | |
| while (dists.get(code)>0) { | |
| int[] config=$.code2config(code); | |
| long bcode=-1; List<Move> bseq=null; | |
| for (int m=0; m<nActs; m++) { | |
| long ncode=$.config2code(prod(canonical_acts[m],config)); | |
| if (dists.get(ncode)+canonical_costs[m]==dists.get(code)) { | |
| bcode=ncode; | |
| bseq=canonical_seqs.get(m); | |
| break; | |
| } | |
| } | |
| if (bseq==null) throw new RuntimeException(); | |
| code=bcode; | |
| out.add(bseq); | |
| } | |
| Collections.reverse(out); //use right-to-left convention (apply rightmost move, then left-most, etc. | |
| //this is so that we match the reading convention within each sequence element of out | |
| return out; | |
| } | |
| } Solver S$=new Solver(); | |
| for (long code=0; code<nconfigs; code++) | |
| if (dists.get(code)==diam) { | |
| System.out.printf("sample antipode:%n%s%nsol (right-to-left): %s%n", | |
| displayScramble(R,C,concat(start,bridge),concat(start,$.code2config(code))), | |
| S$.sol(code) | |
| ); | |
| break; | |
| } | |
| return diam; | |
| } | |
| public static List<List<Move>> singleMoves(int R, int C) { | |
| List<List<Move>> out=new ArrayList<>(); | |
| for (boolean row_shift:new boolean[] {true,false}) | |
| for (int coord=0; coord<(row_shift?R:C); coord++) | |
| for (boolean backward:new boolean[] {true,false}) | |
| out.add(Collections.singletonList(new Move(R,C,row_shift,coord,backward))); | |
| return out; | |
| } | |
| public static int SSSP(int R, int C, int[] start, int[] end) { | |
| return SSSP(R,C,start,end,singleMoves(R,C)); | |
| } | |
| private static List<List<Move>> syllables(int R, int C, boolean row_shift, int max_dist) { | |
| List<List<Move>> out=new ArrayList<>(); | |
| class DFS { | |
| private int cnt=row_shift?R:C, period=row_shift?C:R; | |
| private int[] shifts=new int[cnt]; | |
| private void dfs(int co, int dist) { | |
| if (co==cnt) { | |
| List<Move> seq=new ArrayList<>(); | |
| for (int i=0; i<cnt; i++) | |
| seq.addAll(Move.glide(R,C,row_shift,i,shifts[i])); | |
| out.add(seq); | |
| return; | |
| } | |
| for (int sh=0; sh<period; sh++) { | |
| int ndist=dist+Move.glice_cost(R,C,row_shift,sh); | |
| if (ndist<=max_dist) { | |
| shifts[co]=sh; | |
| dfs(co+1,ndist); | |
| } | |
| } | |
| } | |
| } new DFS().dfs(0,0); | |
| return out; | |
| } | |
| public static List<List<Move>> syllableConjugations(int R, int C, int[] region, int conj_dist, int mid_dist) { | |
| //A*B*A^{-1}, where A and B are syllables (products of glides that all are aligned along the same dimension), | |
| // and A and B are aligned in opposite dimensions | |
| //require A to be <=conj_dist moves, and B to be <=mid_dist moves | |
| List<List<Move>> out=new ArrayList<>(); | |
| for (boolean conj_is_row:new boolean[] {false,true}) | |
| for (List<Move> conj:syllables(R,C,conj_is_row,conj_dist)) | |
| if (!Arrays.equals(region,prod(Move.action(R,C,conj),region))) //require A to disrupt region | |
| for (List<Move> mid:syllables(R,C,!conj_is_row,mid_dist)) | |
| out.add(Move.conj(conj,mid)); | |
| return out; | |
| } | |
| public static void main(String[] args) { | |
| class RegionHelp { | |
| public int[] blockRegion(int R, int C, int[] rs, int[] cs) { | |
| if (!allInRange(rs,R) || !allInRange(cs,C)) throw new RuntimeException(); | |
| Set<Integer> S=new HashSet<>(); | |
| for (int r:rs) for (int c:cs) S.add(r*C+c); | |
| return set2sortedArr(S); | |
| } | |
| public int[] blockRegion(int R, int C, int[] rs) { | |
| return blockRegion(R,C,rs,rs); | |
| } | |
| public int[] all(int R, int C) { | |
| return blockRegion(R,C,range(R),range(C)); | |
| } | |
| } RegionHelp $=new RegionHelp(); | |
| int R=6, C=6; | |
| int[] S0=$.blockRegion(R,C,range(3)), S1=$.blockRegion(R,C,range(4)); | |
| List<List<Move>> mvs=singleMoves(R,C); | |
| mvs.addAll(syllableConjugations(R,C,S0,2,2)); | |
| SSSP(R,C,S0,S1,mvs); | |
| } | |
| } |
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| % java -Xmx10g src/SSSP.java | |
| 6x6: [0, 1, 2, 6, 7, 8, 12, 13, 14] --> [0, 1, 2, 3, 6, 7, 8, 9, 12, 13, 14, 15, 18, 19, 20, 21] | |
| ###... | |
| ###... | |
| ###... | |
| ...... | |
| ...... | |
| ...... | |
| --> | |
| ####.. | |
| ####.. | |
| ####.. | |
| ####.. | |
| ...... | |
| ...... | |
| #canonical_seqs=1260 | |
| canonical_seqs=[[1R, 3R', 3C, 4C, 3R, 1R'], [1R, 4R', 3C, 4C, 4R, 1R'], [1R, 5R', 3C, 4C, 5R, 1R'], [1R, 3C, 4C, 1R'], [1R, 5R, 3C, 4C, 5R', 1R'], [1R, 4R, 3C, 4C, 4R', 1R'], [1R, 3R, 3C, 4C, 3R', 1R'], [0R', 2R', 4C, 5C, 2R, 0R], [1R, 2R, 3C, 4C, 2R', 1R'], [0R', 3R', 4C, 5C, 3R, 0R], [0R', 4R', 4C, 5C, 4R, 0R], [0R', 5R', 4C, 5C, 5R, 0R], [0R', 4C, 5C, 0R], [0R', 5R, 4C, 5C, 5R', 0R], [0R', 4R, 4C, 5C, 4R', 0R], [0R', 3R, 4C, 5C, 3R', 0R], [0R', 5R, 4C, 5C', 5R', 0R], [1R, 5R', 3C, 4C', 5R, 1R'], [1R, 3R', 3C, 4C', 3R, 1R'], [1R, 4R', 3C, 4C', 4R, 1R'], [1R, 3C, 4C', 1R'], [1R, 4R, 3C, 4C', 4R', 1R'], [1R, 3R, 3C, 4C', 3R', 1R'], [1R, 2R, 3C, 4C', 2R', 1R'], [0R', 5R', 4C, 5C', 5R, 0R], [1R, 5R, 3C, 4C', 5R', 1R'], [0R', 2R', 4C, 5C', 2R, 0R], [0R', 3R', 4C, 5C', 3R, 0R], [0R', 4R', 4C, 5C', 4R, 0R], [0R', 4C, 5C', 0R], [0R', 4R, 4C, 5C', 4R', 0R], [0R', 3R, 4C, 5C', 3R', 0R], [1R, 3R', 3C, 3R, 1R'], [1R, 4R', 3C, 4R, 1R'], [1R, 5R', 3C, 5R, 1R'], [1R, 3C, 1R'], [1R, 5R, 3C, 5R', 1R'], [1R, 4R, 3C, 4R', 1R'], [1R, 3R, 3C, 3R', 1R'], [0R', 2R', 4C, 2R, 0R], [1R, 2R, 3C, 2R', 1R'], [0R', 3R', 4C, 3R, 0R], [0R', 4R', 4C, 4R, 0R], [0R', 5R', 4C, 5R, 0R], [0R', 4C, 0R], [0R', 5R, 4C, 5R', 0R], [0R', 4R, 4C, 4R', 0R], [0R', 3R, 4C, 3R', 0R], [0R', 2R, 4C, 2R', 0R], [1R, 1R, 3C, 1R', 1R'], [0R', 1R, 4C, 1R', 0R], [0R', 0R', 5C, 0R, 0R], [1R, 1R, 3C, 3C, 1R', 1R'], [1R, 3R', 3C, 3C, 3R, 1R'], [1R, 4R', 3C, 3C, 4R, 1R'], [1R, 5R', 3C, 3C, 5R, 1R'], [1R, 3C, 3C, 1R'], [1R, 5R, 3C, 3C, 5R', 1R'], [1R, 4R, 3C, 3C, 4R', 1R'], [1R, 3R, 3C, 3C, 3R', 1R'], [0R', 2R', 4C, 4C, 2R, 0R], [2R, 3R', 3C, 3C, 3R, 2R'], [2R, 4R', 3C, 3C, 4R, 2R'], [2R, 5R', 3C, 3C, 5R, 2R'], [2R, 3C, 3C, 2R'], [2R, 5R, 3C, 3C, 5R', 2R'], [2R, 4R, 3C, 3C, 4R', 2R'], [2R, 3R, 3C, 3C, 3R', 2R'], [0R', 1R', 4C, 4C, 1R, 0R], [0R', 1R, 4C, 4C, 1R', 0R], [1R, 2R, 3C, 3C, 2R', 1R'], [0R', 3R', 4C, 4C, 3R, 0R], [0R', 4R', 4C, 4C, 4R, 0R], [0R', 5R', 4C, 4C, 5R, 0R], [0R', 4C, 4C, 0R], [0R', 5R, 4C, 4C, 5R', 0R], [0R', 4R, 4C, 4C, 4R', 0R], [0R', 3R, 4C, 4C, 3R', 0R], [2R, 2R, 3C, 3C, 2R', 2R'], [0R', 0R', 5C, 5C, 0R, 0R], [0R', 2R, 4C, 4C, 2R', 0R], [1C', 3C, 5R', 5R', 3C', 1C], [2R, 4R', 3C', 3C', 4R, 2R'], [2C', 3C, 5R', 3C', 2C], [2C', 3C, 4R', 5R', 3C', 2C], [2C', 3C, 4R, 5R', 3C', 2C], [1R, 4R', 3C', 3C', 4R, 1R'], [2R, 5R', 3C', 3C', 5R, 2R'], [2R, 2R, 3C', 3C', 2R', 2R'], [2R, 3R, 3C', 3C', 3R', 2R'], [2R, 3C', 3C', 2R'], [2R, 3R', 3C', 3C', 3R, 2R'], [2R, 5R, 3C', 3C', 5R', 2R'], [1R, 1R, 3C', 3C', 1R', 1R'], [1R, 5R', 3C', 3C', 5R, 1R'], [1R, 2R, 3C', 3C', 2R', 1R'], [1R, 3R', 3C', 3C', 3R, 1R'], [1R, 3C', 3C', 1R'], [1R, 3R, 3C', 3C', 3R', 1R'], [0R', 4R', 4C', 4C', 4R, 0R], [1R, 5R, 3C', 3C', 5R', 1R'], [2R, 4R, 3C', 3C', 4R', 2R'], [0R', 1R', 4C', 4C', 1R, 0R], [0R', 1R, 4C', 4C', 1R', 0R], [0R', 5R', 4C', 4C', 5R, 0R], [1R, 4R, 3C', 3C', 4R', 1R'], [0R', 2R, 4C', 4C', 2R', 0R], [0R', 3R', 4C', 4C', 3R, 0R], [0R', 4C', 4C', 0R], [0R', 3R, 4C', 4C', 3R', 0R], [0R', 2R', 4C', 4C', 2R, 0R], [0R', 5R, 4C', 4C', 5R', 0R], [0R', 0R', 5C', 5C', 0R, 0R], [0R', 4R, 4C', 4C', 4R', 0R], [0R, 1R, 3C, 4C, 1R', 0R'], [2R', 3R', 4C, 5C, 3R, 2R], [2R', 4R', 4C, 5C, 4R, 2R], [2R', 5R', 4C, 5C, 5R, 2R], [2R', 4C, 5C, 2R], [2R', 5R, 4C, 5C, 5R', 2R], [2R', 4R, 4C, 5C, 4R', 2R], [2R', 3R, 4C, 5C, 3R', 2R], [2R', 5R, 4C, 5C', 5R', 2R], [0R, 1R, 3C, 4C', 1R', 0R'], [2R', 5R', 4C, 5C', 5R, 2R], [2R', 3R', 4C, 5C', 3R, 2R], [2R', 4R', 4C, 5C', 4R, 2R], [2R', 4C, 5C', 2R], [2R', 4R, 4C, 5C', 4R', 2R], [2R', 3R, 4C, 5C', 3R', 2R], [0R, 1R, 3C, 1R', 0R'], [2R', 3R', 4C, 3R, 2R], [2R', 4R', 4C, 4R, 2R], [2R', 5R', 4C, 5R, 2R], [2R', 4C, 2R], [2R', 5R, 4C, 5R', 2R], [2R', 4R, 4C, 4R', 2R], [2R', 3R, 4C, 3R', 2R], [4C], [2R, 3R', 4C, 3R, 2R'], [2R, 4R', 4C, 4R, 2R'], [2R, 5R', 4C, 5R, 2R'], [2R, 4C, 2R'], [2R, 5R, 4C, 5R', 2R'], [2R, 4R, 4C, 4R', 2R'], [2R, 3R, 4C, 3R', 2R'], [0R', 1R', 5C, 1R, 0R], [1R, 2R', 4C, 2R, 1R'], [1R, 3R', 4C, 3R, 1R'], [1R, 4R', 4C, 4R, 1R'], [1R, 5R', 4C, 5R, 1R'], [1R, 4C, 1R'], [1R, 5R, 4C, 5R', 1R'], [1R, 4R, 4C, 4R', 1R'], [1R, 3R, 4C, 3R', 1R'], [0R', 2R', 5C, 2R, 0R], [0R', 3R, 5C, 3R', 0R], [1R, 2R, 4C, 2R', 1R'], [0R', 3R', 5C, 3R, 0R], [0R', 4R, 5C, 4R', 0R], [0R', 4R', 5C, 4R, 0R], [0R', 5R, 5C, 5R', 0R], [0R', 5R', 5C, 5R, 0R], [0R', 5C, 0R], [0R, 3R', 3C, 3C, 3R, 0R'], [0R, 4R', 3C, 3C, 4R, 0R'], [0R, 5R', 3C, 3C, 5R, 0R'], [0R, 3C, 3C, 0R'], [0R, 5R, 3C, 3C, 5R', 0R'], [0R, 4R, 3C, 3C, 4R', 0R'], [0R, 3R, 3C, 3C, 3R', 0R'], [1R', 2R', 4C, 4C, 2R, 1R], [1R, 2R', 4C, 4C, 2R, 1R'], [0R, 1R, 3C, 3C, 1R', 0R'], [2R', 3R', 4C, 4C, 3R, 2R], [2R', 4R', 4C, 4C, 4R, 2R], [2R', 5R', 4C, 4C, 5R, 2R], [2R', 4C, 4C, 2R], [2R', 5R, 4C, 4C, 5R', 2R], [2R', 4R, 4C, 4C, 4R', 2R], [2R', 3R, 4C, 4C, 3R', 2R], [0R, 2R, 3C, 3C, 2R', 0R'], [1R', 3R', 4C, 4C, 3R, 1R], [1R', 4R', 4C, 4C, 4R, 1R], [1R', 5R', 4C, 4C, 5R, 1R], [1R', 4C, 4C, 1R], [1R', 5R, 4C, 4C, 5R', 1R], [1R', 4R, 4C, 4C, 4R', 1R], [1R', 3R, 4C, 4C, 3R', 1R], [1R, 3R', 4C, 4C, 3R, 1R'], [1R, 4R', 4C, 4C, 4R, 1R'], [1R, 5R', 4C, 4C, 5R, 1R'], [1R, 4C, 4C, 1R'], [1R, 5R, 4C, 4C, 5R', 1R'], [1R, 4R, 4C, 4C, 4R', 1R'], [1R, 3R, 4C, 4C, 3R', 1R'], [0R', 2R', 5C, 5C, 2R, 0R], [1R', 2R, 4C, 4C, 2R', 1R], [0R', 3R, 5C, 5C, 3R', 0R], [1R, 2R, 4C, 4C, 2R', 1R'], [0R', 3R', 5C, 5C, 3R, 0R], [0R', 4R, 5C, 5C, 4R', 0R], [0R', 4R', 5C, 5C, 4R, 0R], [0R', 5R, 5C, 5C, 5R', 0R], [0R', 5R', 5C, 5C, 5R, 0R], [0R', 5C, 5C, 0R], [2R, 3R', 4C, 4C, 3R, 2R'], [2R, 4R', 4C, 4C, 4R, 2R'], [2R, 5R', 4C, 4C, 5R, 2R'], [2R, 4C, 4C, 2R'], [2R, 5R, 4C, 4C, 5R', 2R'], [2R, 4R, 4C, 4C, 4R', 2R'], [2R, 3R, 4C, 4C, 3R', 2R'], [0R', 1R', 5C, 5C, 1R, 0R], [0C', 4C, 5R, 5R, 4C', 0C], [0R', 4R, 5C', 5C', 4R', 0R], [0R, 4R', 3C', 3C', 4R, 0R'], [2C', 4C, 5R', 5R', 4C', 2C], [0R, 5R', 3C', 3C', 5R, 0R'], [0R, 2R, 3C', 3C', 2R', 0R'], [0R, 3R, 3C', 3C', 3R', 0R'], [0R, 3C', 3C', 0R'], [0R, 3R', 3C', 3C', 3R, 0R'], [1R', 4R', 4C', 4C', 4R, 1R], [0R, 5R, 3C', 3C', 5R', 0R'], [1R, 4R', 4C', 4C', 4R, 1R'], [0R, 1R, 3C', 3C', 1R', 0R'], [2R, 4R', 4C', 4C', 4R, 2R'], [2R', 4R', 4C', 4C', 4R, 2R], [1R', 5R', 4C', 4C', 5R, 1R], [0R, 4R, 3C', 3C', 4R', 0R'], [1R', 2R, 4C', 4C', 2R', 1R], [1R', 3R, 4C', 4C', 3R', 1R], [1R', 4C', 4C', 1R], [1R', 3R', 4C', 4C', 3R, 1R], [1R', 2R', 4C', 4C', 2R, 1R], [1R', 5R, 4C', 4C', 5R', 1R], [1R, 5R', 4C', 4C', 5R, 1R'], [1R, 2R, 4C', 4C', 2R', 1R'], [1R, 3R', 4C', 4C', 3R, 1R'], [1R, 4C', 4C', 1R'], [1R, 3R, 4C', 4C', 3R', 1R'], [1R, 2R', 4C', 4C', 2R, 1R'], [0R', 4R', 5C', 5C', 4R, 0R], [1R, 5R, 4C', 4C', 5R', 1R'], [2R, 5R', 4C', 4C', 5R, 2R'], [2R', 5R', 4C', 4C', 5R, 2R], [2R, 3R', 4C', 4C', 3R, 2R'], [2R, 4C', 4C', 2R'], [2R, 3R, 4C', 4C', 3R', 2R'], [2R', 3R', 4C', 4C', 3R, 2R], [2R', 4C', 4C', 2R], [2R', 3R, 4C', 4C', 3R', 2R], [2R, 5R, 4C', 4C', 5R', 2R'], [2R', 5R, 4C', 4C', 5R', 2R], [1R', 4R, 4C', 4C', 4R', 1R], [0R', 5R, 5C', 5C', 5R', 0R], [0R', 5R', 5C', 5C', 5R, 0R], [1R, 4R, 4C', 4C', 4R', 1R'], [0R', 3R, 5C', 5C', 3R', 0R], [0R', 3R', 5C', 5C', 3R, 0R], [0R', 5C', 5C', 0R], [0R', 2R', 5C', 5C', 2R, 0R], [2R, 4R, 4C', 4C', 4R', 2R'], [2R', 4R, 4C', 4C', 4R', 2R], [0R', 1R', 5C', 5C', 1R, 0R], [2C', 4C, 5R, 5R, 4C', 2C], [1C', 4C, 5R, 5R, 4C', 1C], [0R', 5R, 5C', 5R', 0R], [0R, 5R', 3C', 4C, 5R, 0R'], [0R, 5R', 3C', 4C', 5R, 0R'], [0R, 5R', 3C', 5R, 0R'], [1C', 4C, 5R', 5R', 4C', 1C], [0C', 4C, 5R', 5R', 4C', 0C], [0R, 3R', 3C', 4C, 3R, 0R'], [0R, 4R', 3C', 4C, 4R, 0R'], [0R, 3C', 4C, 0R'], [0R, 4R, 3C', 4C, 4R', 0R'], [0R, 3R, 3C', 4C, 3R', 0R'], [0R, 2R, 3C', 4C, 2R', 0R'], [1R', 5R', 4C', 5C, 5R, 1R], [0R, 1R, 3C', 4C, 1R', 0R'], [2R', 5R', 4C', 5C, 5R, 2R], [0R, 2R, 3C', 4C', 2R', 0R'], [1R', 5R', 4C', 5C', 5R, 1R], [0R, 3R', 3C', 4C', 3R, 0R'], [0R, 4R', 3C', 4C', 4R, 0R'], [0R, 3C', 4C', 0R'], [0R, 4R, 3C', 4C', 4R', 0R'], [0R, 3R, 3C', 4C', 3R', 0R'], [0R, 1R, 3C', 4C', 1R', 0R'], [2R', 5R', 4C', 5C', 5R, 2R], [0R, 2R, 3C', 2R', 0R'], [1R', 5R', 4C', 5R, 1R], [0R, 3R', 3C', 3R, 0R'], [0R, 4R', 3C', 4R, 0R'], [0R, 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2R'], [1C', 3C, 5R', 3C', 1C], [0C', 3C, 5R', 3C', 0C], [1C', 3C, 4R', 5R', 3C', 1C], [1C', 3C, 4R, 5R', 3C', 1C], [0C', 3C, 4R, 5R', 3C', 0C], [0C', 3C, 4R', 5R', 3C', 0C], [1R, 5R', 3C', 5R, 1R'], [2R, 3R', 3C', 4C, 3R, 2R'], [2R, 4R', 3C', 4C, 4R, 2R'], [2R, 3C', 4C, 2R'], [2R, 4R, 3C', 4C, 4R', 2R'], [2R, 3R, 3C', 4C, 3R', 2R'], [1R, 3R', 3C', 4C, 3R, 1R'], [1R, 4R', 3C', 4C, 4R, 1R'], [1R, 3C', 4C, 1R'], [1R, 4R, 3C', 4C, 4R', 1R'], [1R, 3R, 3C', 4C, 3R', 1R'], [1R, 2R, 3C', 4C, 2R', 1R'], [0R', 5R', 4C', 5C, 5R, 0R], [2R, 3R', 3C', 4C', 3R, 2R'], [2R, 4R', 3C', 4C', 4R, 2R'], [2R, 3C', 4C', 2R'], [2R, 4R, 3C', 4C', 4R', 2R'], [2R, 3R, 3C', 4C', 3R', 2R'], [1R, 3R', 3C', 4C', 3R, 1R'], [1R, 4R', 3C', 4C', 4R, 1R'], [1R, 3C', 4C', 1R'], [1R, 4R, 3C', 4C', 4R', 1R'], [1R, 3R, 3C', 4C', 3R', 1R'], [1R, 2R, 3C', 4C', 2R', 1R'], [0R', 5R', 4C', 5C', 5R, 0R], [2R, 2R, 3C', 2R', 2R'], [2R, 3R', 3C', 3R, 2R'], [2R, 4R', 3C', 4R, 2R'], [2R, 3C', 2R'], [2R, 4R, 3C', 4R', 2R'], [2R, 3R, 3C', 3R', 2R'], [3C'], [1R, 1R, 3C', 1R', 1R'], [1R, 3R', 3C', 3R, 1R'], [1R, 4R', 3C', 4R, 1R'], [1R, 3C', 1R'], [1R, 4R, 3C', 4R', 1R'], [1R, 3R, 3C', 3R', 1R'], [1R, 2R, 3C', 2R', 1R'], [0R', 5R', 4C', 5R, 0R], [2R, 5R, 3C', 4C, 5R', 2R'], [0R', 1R', 4C', 5C, 1R, 0R], [1R, 5R, 3C', 4C, 5R', 1R'], [0R', 2R', 4C', 5C, 2R, 0R], [0R', 3R, 4C', 5C, 3R', 0R], [0R', 3R', 4C', 5C, 3R, 0R], [0R', 4R, 4C', 5C, 4R', 0R], [0R', 4R', 4C', 5C, 4R, 0R], [0R', 4C', 5C, 0R], [2R, 5R, 3C', 4C', 5R', 2R'], [0R', 1R', 4C', 5C', 1R, 0R], [1R, 5R, 3C', 4C', 5R', 1R'], [0R', 2R', 4C', 5C', 2R, 0R], [0R', 3R, 4C', 5C', 3R', 0R], [0R', 3R', 4C', 5C', 3R, 0R], [0R', 4R, 4C', 5C', 4R', 0R], [0R', 4R', 4C', 5C', 4R, 0R], [0R', 4C', 5C', 0R], [2R, 5R, 3C', 5R', 2R'], [0R', 1R', 4C', 1R, 0R], [2C', 3C, 5R, 3C', 2C], [1C', 3C, 5R, 3C', 1C], [0C', 3C, 5R, 3C', 0C], [2C', 3C, 4R', 5R, 3C', 2C], [2C', 3C, 4R, 5R, 3C', 2C], [1C', 3C, 4R', 5R, 3C', 1C], [1C', 3C, 4R, 5R, 3C', 1C], [0C', 3C, 4R, 5R, 3C', 0C], [0C', 3C, 4R', 5R, 3C', 0C], [0R', 1R, 4C', 1R', 0R], [1R, 5R, 3C', 5R', 1R'], [0R', 2R', 4C', 2R, 0R], [0R', 3R', 4C', 3R, 0R], [0R', 4R', 4C', 4R, 0R], [0R', 4C', 0R], [0R', 4R, 4C', 4R', 0R], [0R', 3R, 4C', 3R', 0R], [0R', 2R, 4C', 2R', 0R], [0R', 5R, 4C', 5C, 5R', 0R], [0R', 5R, 4C', 5C', 5R', 0R], [2C', 3C, 5R, 5R, 3C', 2C], [1C', 3C, 5R, 5R, 3C', 1C], [0C', 3C, 5R, 5R, 3C', 0C], [0R', 0R', 5C', 0R, 0R], [0R', 5R, 4C', 5R', 0R], [2R, 3R', 3C, 4C, 3R, 2R'], [2R, 4R', 3C, 4C, 4R, 2R'], [2R, 5R', 3C, 4C, 5R, 2R'], [2R, 3C, 4C, 2R'], [2R, 5R, 3C, 4C, 5R', 2R'], [2R, 4R, 3C, 4C, 4R', 2R'], [2R, 3R, 3C, 4C, 3R', 2R'], [0R', 1R', 4C, 5C, 1R, 0R], [2R, 5R', 3C, 4C', 5R, 2R'], [2R, 3R', 3C, 4C', 3R, 2R'], [2R, 4R', 3C, 4C', 4R, 2R'], [2R, 3C, 4C', 2R'], [2R, 4R, 3C, 4C', 4R', 2R'], [2R, 3R, 3C, 4C', 3R', 2R'], [2R, 5R, 3C, 4C', 5R', 2R'], [0R', 1R', 4C, 5C', 1R, 0R], [3C], [2R, 3R', 3C, 3R, 2R'], [2R, 4R', 3C, 4R, 2R'], [2R, 5R', 3C, 5R, 2R'], [2R, 3C, 2R'], [2R, 5R, 3C, 5R', 2R'], [2R, 4R, 3C, 4R', 2R'], [2R, 3R, 3C, 3R', 2R'], [0R', 1R', 4C, 1R, 0R], [2R, 2R, 3C, 2R', 2R']] | |
| cost_freq={1=12, 3=48, 4=96, 5=384, 6=720} | |
| ri2loc=[3, 4, 5, 9, 10, 11, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35] loc2ri=[-1, -1, -1, 0, 1, 2, -1, -1, -1, 3, 4, 5, -1, -1, -1, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26] | |
| bridge=[3, 9, 15, 18, 19, 20, 21] | |
| nconfigs=4475671200 | |
| dist=0 size=1 | |
| dist=1 | |
| out_dp_cost=12 in_dp_cost=5639345710740 | |
| time=9867 work=0 dist=1 | |
| time=20859 work=12 dist=1 | |
| dist=1 size=4 t=29337 | |
| dist=2 | |
| out_dp_cost=48 in_dp_cost=5639345705700 | |
| time=39860 work=0 dist=2 | |
| time=49694 work=48 dist=2 | |
| dist=2 size=20 t=57648 | |
| dist=3 | |
| out_dp_cost=288 in_dp_cost=5639345680500 | |
| time=67511 work=0 dist=3 | |
| time=76385 work=288 dist=3 | |
| dist=3 size=129 t=84552 | |
| dist=4 | |
| out_dp_cost=1836 in_dp_cost=5639345517960 | |
| time=96964 work=0 dist=4 | |
| time=102009 work=1536 dist=4 | |
| time=107258 work=1836 dist=4 | |
| dist=4 size=754 t=115128 | |
| dist=5 | |
| out_dp_cost=10776 in_dp_cost=5639344567920 | |
| time=136351 work=10776 dist=5 | |
| dist=5 size=4038 t=143482 | |
| dist=6 | |
| out_dp_cost=58824 in_dp_cost=5639339480040 | |
| time=162987 work=58824 dist=6 | |
| dist=6 size=21094 t=169804 | |
| dist=7 | |
| out_dp_cost=312264 in_dp_cost=5639312901600 | |
| time=190017 work=312264 dist=7 | |
| dist=7 size=106159 t=196607 | |
| dist=8 | |
| out_dp_cost=1604052 in_dp_cost=5639179141260 | |
| time=207750 work=0 dist=8 | |
| time=218048 work=1604052 dist=8 | |
| dist=8 size=510034 t=225099 | |
| dist=9 | |
| out_dp_cost=7902984 in_dp_cost=5638536498420 | |
| time=247854 work=7902984 dist=9 | |
| dist=9 size=2319261 t=254817 | |
| dist=10 | |
| out_dp_cost=37045260 in_dp_cost=5635614229560 | |
| time=282728 work=37045260 dist=10 | |
| dist=10 size=9859651 t=291117 | |
| dist=11 | |
| out_dp_cost=163996164 in_dp_cost=5623191069300 | |
| time=302025 work=0 dist=11 | |
| time=330097 work=163996164 dist=11 | |
| dist=11 size=38429865 t=337315 | |
| dist=12 | |
| out_dp_cost=677398908 in_dp_cost=5574769439400 | |
| time=400000 work=403182336 dist=12 | |
| time=434763 work=677398908 dist=12 | |
| dist=12 size=132335913 t=444427 | |
| dist=13 | |
| out_dp_cost=2556230796 in_dp_cost=5408026189020 | |
| time=500000 work=391334016 dist=13 | |
| time=600000 work=1293796608 dist=13 | |
| time=700000 work=2098855680 dist=13 | |
| time=760416 work=2556230796 dist=13 | |
| dist=13 size=378171435 t=771877 | |
| dist=14 | |
| out_dp_cost=8587037940 in_dp_cost=4931530180920 | |
| time=800001 work=88603776 dist=14 | |
| time=900000 work=913649280 dist=14 | |
| time=1000000 work=1730964864 dist=14 | |
| time=1780092 work=8587037940 dist=14 | |
| dist=14 size=821654445 t=1793041 | |
| dist=15 | |
| out_dp_cost=25357218108 in_dp_cost=3896245580220 | |
| time=2000000 work=1838127360 dist=15 | |
| time=3000000 work=11001480960 dist=15 | |
| time=4000000 work=21360769536 dist=15 | |
| time=4366074 work=25357218108 dist=15 | |
| dist=15 size=1232821035 t=4381385 | |
| dist=16 | |
| out_dp_cost=67506345828 in_dp_cost=2342891076120 | |
| time=5473084 work=5373325824 dist=16 | |
| time=6989756 work=5517647616 dist=16 | |
| time=7000003 work=5625167232 dist=16 | |
| time=8000000 work=16421769984 dist=16 | |
| time=9000000 work=28241685120 dist=16 | |
| time=10000000 work=39864890112 dist=16 | |
| time=12380779 work=67506345828 dist=16 | |
| dist=16 size=1152840978 t=12395085 | |
| dist=17 | |
| out_dp_cost=168064456248 in_dp_cost=890311443840 | |
| time=20000000 work=91828374528 dist=17 | |
| time=26340433 work=168064456248 dist=17 | |
| dist=17 size=574622292 t=26350713 | |
| dist=18 | |
| out_dp_cost=385449392304 in_dp_cost=166287355920 | |
| time=30000001 work=46274296320 dist=18 | |
| time=39845457 work=166287355920 dist=18 | |
| dist=18 size=124010567 t=39854784 | |
| dist=19 | |
| out_dp_cost=762974053188 in_dp_cost=10034041500 | |
| time=40000004 work=1286651520 dist=19 | |
| time=40794619 work=10034041500 dist=19 | |
| dist=19 size=7911451 t=40801104 | |
| dist=20 | |
| out_dp_cost=1203344019156 in_dp_cost=65613240 | |
| time=40838597 work=65613240 dist=20 | |
| dist=20 size=52074 t=40845058 | |
| time=40864908 | |
| diameter=20 | |
| depth_freq={0=1, 1=4, 2=20, 3=129, 4=754, 5=4038, 6=21094, 7=106159, 8=510034, 9=2319261, 10=9859651, 11=38429865, 12=132335913, 13=378171435, 14=821654445, 15=1232821035, 16=1152840978, 17=574622292, 18=124010567, 19=7911451, 20=52074} | |
| [0, 1, 2, 6, 7, 8, 12, 13, 14, 3, 9, 15, 18, 19, 20, 21]-->[0, 1, 2, 6, 7, 8, 12, 13, 14, 3, 4, 5, 30, 32, 25, 11] | |
| sample antipode: | |
| 1 2 3 4 10 16 | |
| 7 8 9 . . 22 | |
| 13 14 15 . . . | |
| . . . . . . | |
| . 21 . . . . | |
| 19 . 20 . . . | |
| sol (right-to-left): [[3R'], [3R'], [3C'], [5C'], [3R'], [3C'], [5R], [5R], [5C'], [4C'], [4R'], [5C'], [4R'], [5C'], [5R'], [1R, 3C, 3C, 1R'], [4C]] |
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