#include using namespace std; #define REP(i,a,b) for(i=a;i'9')break;*x=(*x)*10+k-'0';}if(m)(*x)=-(*x);} void reader(ll *x){int k,m=0;*x=0;for(;;){mygc(k);if(k=='-'){m=1;break;}if('0'<=k&&k<='9'){*x=k-'0';break;}}for(;;){mygc(k);if(k<'0'||k>'9')break;*x=(*x)*10+k-'0';}if(m)(*x)=-(*x);} void reader(double *x){scanf("%lf",x);} int reader(char c[]){int i,s=0;for(;;){mygc(i);if(i!=' '&&i!='\n'&&i!='\r'&&i!='\t'&&i!=EOF) break;}c[s++]=i;for(;;){mygc(i);if(i==' '||i=='\n'||i=='\r'||i=='\t'||i==EOF) break;c[s++]=i;}c[s]='\0';return s;} template void reader(T *x, S *y){reader(x);reader(y);} template void reader(T *x, S *y, U *z){reader(x);reader(y);reader(z);} template void reader(T *x, S *y, U *z, V *w){reader(x);reader(y);reader(z);reader(w);} void writer(int x, char c){int s=0,m=0;char f[10];if(x<0)m=1,x=-x;while(x)f[s++]=x%10,x/=10;if(!s)f[s++]=0;if(m)mypc('-');while(s--)mypc(f[s]+'0');mypc(c);} void writer(ll x, char c){int s=0,m=0;char f[20];if(x<0)m=1,x=-x;while(x)f[s++]=x%10,x/=10;if(!s)f[s++]=0;if(m)mypc('-');while(s--)mypc(f[s]+'0');mypc(c);} void writer(double x, char c){printf("%.15f",x);mypc(c);} void writer(const char c[]){int i;for(i=0;c[i]!='\0';i++)mypc(c[i]);} void writer(const char x[], char c){int i;for(i=0;x[i]!='\0';i++)mypc(x[i]);mypc(c);} template void writerLn(T x){writer(x,'\n');} template void writerLn(T x, S y){writer(x,' ');writer(y,'\n');} template void writerLn(T x, S y, U z){writer(x,' ');writer(y,' ');writer(z,'\n');} template void writerArr(T x[], int n){int i;if(!n){mypc('\n');return;}rep(i,n-1)writer(x[i],' ');writer(x[n-1],'\n');} /* #define BIG_INT_SIZE 3 #define BIG_INT_BASE 1000000000000000LL #define BIG_INT_DIGITS 15 #define BIG_INT_CHAR_SIZE 1000 typedef struct big_integer{ll a[BIG_INT_SIZE];}bigInt; int bigIntSign(bigInt a); int bigIntToChar(bigInt a,char ret[]); void printBigInt(bigInt a); void putBigInt(bigInt a); bigInt bigIntZero(){ bigInt a; int i; rep(i,BIG_INT_SIZE) a.a[i]=0; return a; } bigInt bigIntOne(){ bigInt a; int i; REP(i,1,BIG_INT_SIZE) a.a[i]=0; a.a[0]=1; return a; } bigInt bigIntOrder(bigInt a){ int i; ll k; REP(i,1,BIG_INT_SIZE) if(a.a[i-1]<0 || a.a[i-1]>=BIG_INT_BASE){ k=a.a[i-1]/BIG_INT_BASE; a.a[i-1]-=k*BIG_INT_BASE; if(a.a[i-1]<0) k--, a.a[i-1]+=BIG_INT_BASE; a.a[i]+=k; } if(a.a[BIG_INT_SIZE-1]<0){ rep(i,BIG_INT_SIZE) a.a[i]=-a.a[i]; a=bigIntOrder(a); rep(i,BIG_INT_SIZE) a.a[i]=-a.a[i]; } return a; } bigInt llToBigInt(ll a){ bigInt c; int i; REP(i,1,BIG_INT_SIZE) c.a[i]=0; c.a[0]=a; return bigIntOrder(c); } int bigIntGreaterThan(bigInt a,bigInt b){ int i; for(i=BIG_INT_SIZE-1;i>=0;i--){ if(a.a[i]>b.a[i]) return 1; if(a.a[i]a[i]=a.a[i]; for(i=BIG_INT_SIZE-1;i;i--) c->a[i-1]+=(c->a[i]%b)*BIG_INT_BASE, c->a[i]/=b; *d = c->a[0]%b; c->a[0]/=b; } void bigIntDivisions(bigInt a,bigInt b,bigInt *c,bigInt *d){ int i,j,s,sa,sb; ll ma,mb,mc; bigInt tmp; sa=bigIntSign(a); sb=bigIntSign(b); if(sa==-1) a=bigIntMultipleLL(a,-1); if(sb==-1) b=bigIntMultipleLL(b,-1); for(j=BIG_INT_SIZE-1;j;j--) if(b.a[j]) break; if(!j){ REP(i,1,BIG_INT_SIZE) d->a[i]=0; bigIntDivisionsLL(a,b.a[0],c,&(d->a[0])); }else{ for(i=BIG_INT_SIZE-1;i;i--) if(a.a[i]) break; s=i-j; if(s<0) s=0; rep(i,BIG_INT_SIZE) c->a[i]=0; while(s>=0){ ma=0; mb=BIG_INT_BASE-1; while(ma!=mb){ mc = (ma+mb)/2 + (ma+mb)%2; c->a[s]=mc; tmp=bigIntMultiple(*c,b); if(bigIntGreaterThan(tmp,a)) mb=mc-1; else ma=mc; } c->a[s]=ma; s--; } tmp = bigIntMultiple(b,*c); *d = bigIntMinus(a,tmp); } if(sa==-1 && sb==-1){ *d=bigIntMultipleLL(*d,-1); } else if(sa==-1 && sb!=-1){ *c=bigIntMultipleLL(*c,-1); *d=bigIntMultipleLL(*d,-1); } else if(sa!=-1 && sb==-1){ *c=bigIntMultipleLL(*c,-1); } } bigInt bigIntDivision(bigInt a,bigInt b){ bigInt c,d; bigIntDivisions(a,b,&c,&d); return c; } bigInt bigIntModular(bigInt a,bigInt b){ bigInt c,d; bigIntDivisions(a,b,&c,&d); return d; } int bigIntSign(bigInt a){ int i; for(i=BIG_INT_SIZE-1;i>=0;i--) if(a.a[i]){ if(a.a[i]<0) return -1; else return 1; } return 0; } bigInt bigIntAbs(bigInt a){ if(bigIntSign(a)==-1) return bigIntMultipleLL(a,-1LL); return a; } bigInt bigIntGCD(bigInt a,bigInt b){ if(bigIntSign(a)==-1) a=bigIntMultipleLL(a,-1); if(bigIntSign(b)==-1) b=bigIntMultipleLL(b,-1); if(bigIntIsZero(a)) return b; return bigIntGCD(bigIntModular(b,a),a); } int bigIntToChar(bigInt a,char ret[]){ int i,j,s=0,len=0; char ct[BIG_INT_CHAR_SIZE]; ll lt; if(bigIntSign(a)==-1){ ret[0]='-'; len=bigIntToChar(bigIntMultipleLL(a,-1LL),ret+1); return len+1; } rep(i,BIG_INT_SIZE){ lt=a.a[i]; rep(j,BIG_INT_DIGITS) ct[s++]=lt%10, lt/=10; } j=0; while(s--){ if(ct[s]) j=1; if(j) ret[len++]=ct[s]+'0'; } if(!len) ret[len++]='0'; ret[len]='\0'; return len; } void printBigInt(bigInt a){ int i,k; char tmp[BIG_INT_CHAR_SIZE]; k=bigIntToChar(a,tmp); rep(i,k) putchar(tmp[i]); } void putBigInt(bigInt a){ char tmp[BIG_INT_CHAR_SIZE]; bigIntToChar(a,tmp); puts(tmp); } bigInt bigIntDivisionLL(bigInt a,ll b){ bigInt res; ll tmp; bigIntDivisionsLL(a, b, &res, &tmp); return res; } bigInt bigIntSqrt(bigInt a){ bigInt c1=bigIntZero(),c2=a,c,mul; while( bigIntGreaterThan(c2,c1) ){ c = bigIntDivisionLL( bigIntPlus(bigIntPlus(c1,c2),bigIntOne()), 2); mul = bigIntMultiple(c,c); if( bigIntGreaterThan(mul,a) ) c2=bigIntMinus(c,bigIntOne()); else c1=c; } return c1; } bigInt bigIntCubicRoot(bigInt a){ bigInt c1=bigIntZero(),c2=a,c,mul; while( bigIntGreaterThan(c2,c1) ){ c = bigIntDivisionLL( bigIntPlus(bigIntPlus(c1,c2),bigIntOne()), 2); mul = bigIntMultiple(c,bigIntMultiple(c,c)); if( bigIntGreaterThan(mul,a) ) c2=bigIntMinus(c,bigIntOne()); else c1=c; } return c1; } char memarr[17000000]; void *mem = memarr; #define MD 1000000007 int N; map mp[50][50]; ull get_hash(vector &v){ int i; ull hs = 0; rep(i,v.size()) hs = hs * 8 + (v[i]+2); rep(i,v.size()) assert(v[i]+2 < 8); return hs; } int connect(vector &v, int x, int y){ int i, j, k, n = v.size(); if(v[x]==-2 || v[y]==-2) return 0; if(v[x]==-1 && v[y]==-1){ v[x] = v[y] = N+1; return 1; } if(v[x]==v[y]){ v[x]=v[y]=-2; rep(i,n) if(v[i]>=0) return 0; return 2; } if(v[x]==-1 || v[y]==-1){ if(v[x]==-1) v[x] = v[y], v[y] = -2; else v[y] = v[x], v[x] = -2; return 1; } j = v[x]; k = v[y]; rep(i,n) if(v[i]==j) v[i] = k; v[x] = v[y] = -2; return 1; } int go[1000]; int order(vector &v){ int i, j, k, n = v.size(); k = 0; rep(i,n+3) go[i] = -1; rep(i,n){ if(v[i]<0) continue; if(go[v[i]]==-1) go[v[i]] = k++; } rep(i,n){ if(v[i]<0) continue; v[i] = go[v[i]]; } return k; } bigInt solve(int a, int b, vector mask){ int i, j, k, m; int fin; ull hs; vector send; bigInt res = bigIntZero(), tmp; if(a= 0) return bigIntZero(); REP(i,1,mask.size()) mask[i-1] = mask[i]; mask[mask.size()-1] = -1; b++; } } if(b==N) a++, b=0; if(a==N) return bigIntZero(); hs = get_hash(mask); if(mp[a][b].count(hs)) return mp[a][b][hs]; rep(m,7){ send = mask; fin = 0; if(m&1<<0){ if(a < b) continue; if(b-1 < 0) continue; if(fin) continue; k = connect(send, N+1, N); if(k==0) continue; if(k==2) fin=1; order(send); } if(m&1<<1){ if(a < b) continue; if(a-1 < 0 || a-1 < b) continue; if(fin) continue; k = connect(send, N+1, 1); if(k==0) continue; if(k==2) fin=1; order(send); } if(m&1<<2){ if(a < b) continue; if(a-1 < 0 || b-1 < 0) continue; if(fin) continue; k = connect(send, N+1, 0); if(k==0) continue; if(k==2) fin=1; order(send); } if(fin){ res = bigIntPlus(res, bigIntOne()); continue; } if(send[0] >= 0) continue; REP(i,1,send.size()) send[i-1] = send[i]; send[send.size()-1] = -1; tmp = solve(a,b+1,send); res = bigIntPlus(res, tmp); // printf("%d %d :",a,b); // rep(i,mask.size()) printf(" %d",mask[i]); // printf(" -> "); // printf("%d %d :",a,b+1); // rep(i,mask.size()) printf(" %d",send[i]); // puts(""); } // printf("%d %d :",a,b); // rep(i,mask.size()) printf(" %d",mask[i]); // printf(" : %lld\n", res); return mp[a][b][hs] = res; } int main(){ int i, j, k; bigInt res; vector tmp; for(N=2;N<=13;N++){ rep(i,N+1) rep(j,N+1) mp[i][j].clear(); tmp.clear(); tmp = vector(N+2,-1); // rep(i,N+2) tmp.push_back(-1); res = solve(0,0,tmp); printf("%d ",N); putBigInt(res); } puts("OK"); return 0; } */ // 2 1 // 3 11 // 4 110 // 5 2402 // 6 128967 // 7 16767653 // 8 5436906668 // 9 4406952731948 // 10 8819634719356421 // 11 43329348004927734247 // 12 522235268182347360718818 // 13 15436131339319739257518081878 const char *ans[] = { "0", "1", "11", "110", "2402", "128967", "16767653", "5436906668", "4406952731948", "8819634719356421", "43329348004927734247", "522235268182347360718818", "15436131339319739257518081878" }; int main(){ int N; reader(&N); writerLn(ans[N]); return 0; }