#include <bits/stdc++.h> using namespace std; #define fru(j,n) for(int j=0; j<(n); ++j) #define tr(it,v) for(auto it=(v).begin(); it!=(v).end(); ++it) #define x first #define y second #define pb push_back #define mp make_pair #define ALL(G) (G).begin(),(G).end() typedef long long ll; typedef double D; typedef pair<int,int> pii; typedef vector<int> vi; const int inft = 1000000009; const int MAXN = 2005,MAXV=1000006; const int DEB=0,RAN=12; int n,m; map<pii,int> M; vi H[MAXN],MP[MAXN][RAN],MS[MAXN][RAN],P; vector<pii> V[MAXV]; pii KMPP[MAXN][RAN]; int pi[MAXN],dist[MAXV]; void kmp2(int ii,int j){ #define TT MS[ii][j] int q=0; for(int i=0;i<TT.size();++i){ //tekst od 0-wej pozycji while(q && TT[i]!=P[q+1]) q=pi[q]; if(TT[i]==P[q+1]) ++q; if(q==m){ KMPP[ii][j].y=1; return ; q=pi[q]; } } KMPP[ii][j]=pii(q,0); return ; } bool kmp(vi &A, vi &B){ int As=A.size(),Bs=B.size(); int q=0; #define T(a) (a<As?A[a]:B[a-As]) for(int i=0;i<As+Bs;++i){ //tekst od 0-wej pozycji while(q && T(i)!=P[q+1]) q=pi[q]; if(T(i)==P[q+1]) ++q; if(q==m){ return 1; q=pi[q]; } } return 0; } bool kmp3(int ii,int j, vi &B){ int Bs=B.size(); if(KMPP[ii][j].y)return 1; int q=KMPP[ii][j].x; for(int i=0;i<Bs;++i){ //tekst od 0-wej pozycji while(q && B[i]!=P[q+1]) q=pi[q]; if(B[i]==P[q+1]) ++q; if(q==m){ return 1; q=pi[q]; } } return 0; } void morphP(vi &A){ vi C; tr(it,A){ tr(it2,H[*it]){ C.pb(*it2); if(C.size()>m)break; } if(C.size()>m)break; } swap(A,C); } void morphS(vi &A){ vi C; reverse(ALL(A)); tr(it,A){ for(int j=H[*it].size()-1;j>=0;j--){ C.pb(H[*it][j]); if(C.size()>m)break; } if(C.size()>m)break; } swap(A,C); reverse(ALL(A)); } void solve() { scanf("%d%d",&n,&m); fru(i,n){ int k; scanf("%d",&k); H[i].resize(k); fru(j,k){scanf("%d",&H[i][j]);H[i][j]--;} } P.resize(m+1); P.pb(-1);//wzorzec musi byc przesuniety o 1 fru(i,m){scanf("%d",&P[i+1]);P[i+1]--;} int q=0; pi[0]=pi[1]=0; for(int i=2;i<=m;++i) { while(q && P[i]!=P[q+1]) q=pi[q]; if(P[i]==P[q+1]) ++q; pi[i]=q; } //create MS,MP fru(i,n){ vi A; A.pb(i); fru(j,RAN){MP[i][j]=A;if(j+1!=RAN)morphP(A);} } fru(i,n){ vi A; A.pb(i); fru(j,RAN){MS[i][j]=A;if(j+1!=RAN)morphS(A);} fru(j,RAN)kmp2(i,j); } //create graph int nr=1; fru(i,n)for(int j=-1;j<n;j++)M[pii(i,j)]=nr++; M[pii(-1,-1)]=nr++; //create graph //transitions (i,-1) ->*** fru(i,n){ int u=M[pii(i,-1)]; if(DEB) printf("dla %d\n",i); //single transitions tr(it,H[i]){ if(DEB) printf("%d -> %d\n",*it,i); V[M[pii(*it,-1)]].pb(pii(u,1)); } //pref/suf transitions fru(j,H[i].size()-1){ if(DEB) printf("%d,%d -> %d\n",H[i][j],H[i][j+1],i); V[M[pii(H[i][j],H[i][j+1])]].pb(pii(u,1)); } //potential answers fru(j,H[i].size()-1){ // H[i][j], H[i][j+1] if(DEB) printf("j=%d\n",j); vi A,B; A.pb(H[i][j]); for(int jj=j+1;jj<H[i].size();jj++)B.pb(H[i][jj]); int ans; for(ans=1;ans<RAN;ans++){ if(DEB){ puts("A"); tr(it,A)printf("%d ",*it);puts(""); puts("B"); tr(it,B)printf("%d ",*it);puts(""); } if(kmp(A,B))break; morphS(A); morphP(B); } if(DEB) printf("ans %d\n",ans); if(ans<RAN)V[M[pii(-1,-1)]].pb(pii(u,ans+1)); } } //transitions (i,j) fru(i,n)fru(j,n){ int u=M[pii(i,j)]; pii v; v.x=H[i].back(); v.y=H[j][0]; V[M[v]].pb(pii(u,1)); //check if have answer // i,j int ans; for(ans=1;ans<RAN;ans++){ if(kmp3(i,ans-1,MP[j][ans-1]))break; } if(ans<RAN)V[M[pii(-1,-1)]].pb(pii(u,ans)); } //najkr. sciezka z pii(0,-1) do pii(-1,-1) fru(i,nr)dist[i]=inft; dist[M[pii(-1,-1)]]=0; priority_queue<pii> Q; Q.push(pii(0,M[pii(-1,-1)])); while(!Q.empty()){ pii u=Q.top();Q.pop(); if(dist[u.y]<-u.x)continue; tr(it,V[u.y])if(-u.x+it->y<dist[it->x]){ dist[it->x]=-u.x+it->y; Q.push(pii(-dist[it->x],it->x)); } } if(dist[M[pii(0,-1)]]==inft)puts("-1\n");else printf("%d\n",dist[M[pii(0,-1)]]); } int main() { solve(); return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 | #include <bits/stdc++.h> using namespace std; #define fru(j,n) for(int j=0; j<(n); ++j) #define tr(it,v) for(auto it=(v).begin(); it!=(v).end(); ++it) #define x first #define y second #define pb push_back #define mp make_pair #define ALL(G) (G).begin(),(G).end() typedef long long ll; typedef double D; typedef pair<int,int> pii; typedef vector<int> vi; const int inft = 1000000009; const int MAXN = 2005,MAXV=1000006; const int DEB=0,RAN=12; int n,m; map<pii,int> M; vi H[MAXN],MP[MAXN][RAN],MS[MAXN][RAN],P; vector<pii> V[MAXV]; pii KMPP[MAXN][RAN]; int pi[MAXN],dist[MAXV]; void kmp2(int ii,int j){ #define TT MS[ii][j] int q=0; for(int i=0;i<TT.size();++i){ //tekst od 0-wej pozycji while(q && TT[i]!=P[q+1]) q=pi[q]; if(TT[i]==P[q+1]) ++q; if(q==m){ KMPP[ii][j].y=1; return ; q=pi[q]; } } KMPP[ii][j]=pii(q,0); return ; } bool kmp(vi &A, vi &B){ int As=A.size(),Bs=B.size(); int q=0; #define T(a) (a<As?A[a]:B[a-As]) for(int i=0;i<As+Bs;++i){ //tekst od 0-wej pozycji while(q && T(i)!=P[q+1]) q=pi[q]; if(T(i)==P[q+1]) ++q; if(q==m){ return 1; q=pi[q]; } } return 0; } bool kmp3(int ii,int j, vi &B){ int Bs=B.size(); if(KMPP[ii][j].y)return 1; int q=KMPP[ii][j].x; for(int i=0;i<Bs;++i){ //tekst od 0-wej pozycji while(q && B[i]!=P[q+1]) q=pi[q]; if(B[i]==P[q+1]) ++q; if(q==m){ return 1; q=pi[q]; } } return 0; } void morphP(vi &A){ vi C; tr(it,A){ tr(it2,H[*it]){ C.pb(*it2); if(C.size()>m)break; } if(C.size()>m)break; } swap(A,C); } void morphS(vi &A){ vi C; reverse(ALL(A)); tr(it,A){ for(int j=H[*it].size()-1;j>=0;j--){ C.pb(H[*it][j]); if(C.size()>m)break; } if(C.size()>m)break; } swap(A,C); reverse(ALL(A)); } void solve() { scanf("%d%d",&n,&m); fru(i,n){ int k; scanf("%d",&k); H[i].resize(k); fru(j,k){scanf("%d",&H[i][j]);H[i][j]--;} } P.resize(m+1); P.pb(-1);//wzorzec musi byc przesuniety o 1 fru(i,m){scanf("%d",&P[i+1]);P[i+1]--;} int q=0; pi[0]=pi[1]=0; for(int i=2;i<=m;++i) { while(q && P[i]!=P[q+1]) q=pi[q]; if(P[i]==P[q+1]) ++q; pi[i]=q; } //create MS,MP fru(i,n){ vi A; A.pb(i); fru(j,RAN){MP[i][j]=A;if(j+1!=RAN)morphP(A);} } fru(i,n){ vi A; A.pb(i); fru(j,RAN){MS[i][j]=A;if(j+1!=RAN)morphS(A);} fru(j,RAN)kmp2(i,j); } //create graph int nr=1; fru(i,n)for(int j=-1;j<n;j++)M[pii(i,j)]=nr++; M[pii(-1,-1)]=nr++; //create graph //transitions (i,-1) ->*** fru(i,n){ int u=M[pii(i,-1)]; if(DEB) printf("dla %d\n",i); //single transitions tr(it,H[i]){ if(DEB) printf("%d -> %d\n",*it,i); V[M[pii(*it,-1)]].pb(pii(u,1)); } //pref/suf transitions fru(j,H[i].size()-1){ if(DEB) printf("%d,%d -> %d\n",H[i][j],H[i][j+1],i); V[M[pii(H[i][j],H[i][j+1])]].pb(pii(u,1)); } //potential answers fru(j,H[i].size()-1){ // H[i][j], H[i][j+1] if(DEB) printf("j=%d\n",j); vi A,B; A.pb(H[i][j]); for(int jj=j+1;jj<H[i].size();jj++)B.pb(H[i][jj]); int ans; for(ans=1;ans<RAN;ans++){ if(DEB){ puts("A"); tr(it,A)printf("%d ",*it);puts(""); puts("B"); tr(it,B)printf("%d ",*it);puts(""); } if(kmp(A,B))break; morphS(A); morphP(B); } if(DEB) printf("ans %d\n",ans); if(ans<RAN)V[M[pii(-1,-1)]].pb(pii(u,ans+1)); } } //transitions (i,j) fru(i,n)fru(j,n){ int u=M[pii(i,j)]; pii v; v.x=H[i].back(); v.y=H[j][0]; V[M[v]].pb(pii(u,1)); //check if have answer // i,j int ans; for(ans=1;ans<RAN;ans++){ if(kmp3(i,ans-1,MP[j][ans-1]))break; } if(ans<RAN)V[M[pii(-1,-1)]].pb(pii(u,ans)); } //najkr. sciezka z pii(0,-1) do pii(-1,-1) fru(i,nr)dist[i]=inft; dist[M[pii(-1,-1)]]=0; priority_queue<pii> Q; Q.push(pii(0,M[pii(-1,-1)])); while(!Q.empty()){ pii u=Q.top();Q.pop(); if(dist[u.y]<-u.x)continue; tr(it,V[u.y])if(-u.x+it->y<dist[it->x]){ dist[it->x]=-u.x+it->y; Q.push(pii(-dist[it->x],it->x)); } } if(dist[M[pii(0,-1)]]==inft)puts("-1\n");else printf("%d\n",dist[M[pii(0,-1)]]); } int main() { solve(); return 0; } |