#include <cstdio> #include <algorithm> #include <vector> #include <list> #include <set> typedef unsigned long long ull; using namespace std; ull _A[100],_B[100],M[1003][100]; int O[ 1003 ],J[ 1003 ]; list<int> L[ 1003 ]; set<int> R[1003]; void failed() { printf("-1\n"); exit( 0 ); } /*ull nwd(ull a, ull b) { if (a&&b) return nwd( b, a%b ); return a+b; }*/ /*ull wynik; ull cut_mod; set<ull> cut_mod_set; int mod_num; ull mod_tab[ 1003 ];*/ /*void req_lookup( ull a, int m ) { if ( m<mod_num ) { ull add = ; ull up = ; ull mod = ; auto &lookup_set = ; for ( ull i = a; i<=up; i+=add ) if (lookup_set.find(i%mod)!=lookup_set.end()) req_lookup( i, m+1 ); } else { ull mod = cut_mod; ull up = ; ull add = ; for ( ull i = a; i<=up; i+=add ) if ( i%cut_mod ) { wynik = max() } } }*/ int main() { int n,b,r; scanf("%d%d%d",&n,&b,&r); int n_div = (n+63)/64; for ( int i=0; i<n+64; i++ ) for ( int j=0; j<n_div; j++ ) M[i][j]=0; for ( int i=0; i<n; i++ ) { char CC[1003]; scanf("%s",CC); for ( int j=0; j<n; j++ ) if ( CC[j] == '1' ) { M[i][j/64] |= ((ull)1)<<(j%64); } } for ( int i=0; i<n_div; i++ ) _A[i]=0; for ( int i=0; i<r; i++ ) { int aa; scanf( "%d", &aa ); aa--; _A[aa/64] |= ((ull)1)<<(aa%64); } for ( int i=0; i<n; i++ ) J[i]=0; int move; ull *A=_A; ull *B=_B; int max_move = 2*n*n+3*n; for ( move=1; move<=max_move; move++ ) { //for ( int i=0; i<n_div; i++ ) printf("%016llX",A[i]); printf("\n"); for ( int i=0; i<n_div; i++ ) B[i]=0; for ( int i=0; i<n_div; i++ ) for ( int ii=0; ii<64; ii++ ) if (A[i]&(((ull)1)<<ii)) for ( int j=0; j<n_div; j++ ) B[j]|=M[i*64+ii][j]; //printf(" "); for ( int i=0; i<n_div; i++ ) printf("%016llX",B[i]); printf("\n"); int rr = 1; for ( int i=0; i<n_div; i++ ) for ( int ii=0; ii<64; ii++ ) if ((B[i]&(((ull)1)<<ii))&&(i*64+ii>=b)) { rr=0; L[i*64+ii].push_back( move ); } if ( rr ) { printf("%d\n",move); exit(0); } for ( int i=b; i<n; i++ ) while ( !L[i].empty() && L[i].front()<move-3*n ) L[i].pop_front(); swap( A, B ); } /*for ( int i=0; i<n; i++ ) { for ( const int &j : L[i] ) printf("%d ",j); printf("\n"); }*/ //return 0; /*int n = 100; for ( int i=0; i<4; i++ ) { L[1].push_back( i*4+1 ); L[1].push_back( i*4+3 ); L[2].push_back( i*5+0 ); }*/ for ( int i=0; i<n; i++ ) if (!(L[i].empty())) { int iltmp = 0; int tmp[ 1003 ]; for ( int &j : L[i] ) tmp[iltmp++] = j; int d,pp; for ( d=1; d<=n+1; d++ ) { pp = iltmp-1; int aa = tmp[pp]%d; pp--; while ( pp >=0 && tmp[pp]%d != aa ) pp--; if ( pp<0 ) continue; pp++; pp = iltmp-pp; int yy = 1; for ( int j=iltmp-pp-1; yy&&j>=0; j-- ) if ( tmp[j]%d!=tmp[j+pp]%d || (tmp[j+pp]-tmp[j]>d) ) yy=0; if ( yy ) break; } //printf("%d %d\n",i,d); if ( d > n ) failed(); if ( d == 1 && iltmp ) failed(); int DD[1003],ildd=0; int dd = d, wskdd = 2; while ( wskdd<=d ) { if (!(dd%wskdd)) { int a = 1; while (!(dd%wskdd)) { a*=wskdd; dd/=wskdd; } DD[ildd++]=a; } wskdd++; } for ( int j=0; j<pp; j++ ) { for ( int k=0; k<ildd; k++ ) R[DD[k]].insert( tmp[j]%DD[k] ); } } /*printf("\n"); for ( int i=0; i<n; i++ ) if ( R[i].size() ) { printf("%d ",i); for ( const int &j : R[i] ) printf("%d ",j); printf("\n"); } printf("\n");*/ for ( int i=n; i>=2; i-- ) if ( R[i].size() ) { int dd = i; int md = 2; while ( dd%md ) md++; if ( dd%(md*md) ) continue; while (!(dd%md)) dd/=md; if ( dd == 1 ) { for ( int j=md; j<i; j*=md ) if ( R[j].size() ) { int st = i/j; for ( const int &r : R[j] ) { for ( int k=0; k<st; k++ ) R[i].insert( k*j+r ); } R[j].clear(); } } } ull mul=1,wynik=0; for ( int i=0; i<n; i++ ) if (R[i].size()) { if ( R[i].size() == i ) failed(); int wsk = 0; for ( const int &j : R[i] ) { if ( j != wsk ) break; wsk++; } int d = i; int r = wsk; while ( (int)(wynik%d) != r ) wynik += mul; mul *= d; } while ( wynik < (ull)max_move ) wynik += mul; printf("%llu\n",wynik); 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 | #include <cstdio> #include <algorithm> #include <vector> #include <list> #include <set> typedef unsigned long long ull; using namespace std; ull _A[100],_B[100],M[1003][100]; int O[ 1003 ],J[ 1003 ]; list<int> L[ 1003 ]; set<int> R[1003]; void failed() { printf("-1\n"); exit( 0 ); } /*ull nwd(ull a, ull b) { if (a&&b) return nwd( b, a%b ); return a+b; }*/ /*ull wynik; ull cut_mod; set<ull> cut_mod_set; int mod_num; ull mod_tab[ 1003 ];*/ /*void req_lookup( ull a, int m ) { if ( m<mod_num ) { ull add = ; ull up = ; ull mod = ; auto &lookup_set = ; for ( ull i = a; i<=up; i+=add ) if (lookup_set.find(i%mod)!=lookup_set.end()) req_lookup( i, m+1 ); } else { ull mod = cut_mod; ull up = ; ull add = ; for ( ull i = a; i<=up; i+=add ) if ( i%cut_mod ) { wynik = max() } } }*/ int main() { int n,b,r; scanf("%d%d%d",&n,&b,&r); int n_div = (n+63)/64; for ( int i=0; i<n+64; i++ ) for ( int j=0; j<n_div; j++ ) M[i][j]=0; for ( int i=0; i<n; i++ ) { char CC[1003]; scanf("%s",CC); for ( int j=0; j<n; j++ ) if ( CC[j] == '1' ) { M[i][j/64] |= ((ull)1)<<(j%64); } } for ( int i=0; i<n_div; i++ ) _A[i]=0; for ( int i=0; i<r; i++ ) { int aa; scanf( "%d", &aa ); aa--; _A[aa/64] |= ((ull)1)<<(aa%64); } for ( int i=0; i<n; i++ ) J[i]=0; int move; ull *A=_A; ull *B=_B; int max_move = 2*n*n+3*n; for ( move=1; move<=max_move; move++ ) { //for ( int i=0; i<n_div; i++ ) printf("%016llX",A[i]); printf("\n"); for ( int i=0; i<n_div; i++ ) B[i]=0; for ( int i=0; i<n_div; i++ ) for ( int ii=0; ii<64; ii++ ) if (A[i]&(((ull)1)<<ii)) for ( int j=0; j<n_div; j++ ) B[j]|=M[i*64+ii][j]; //printf(" "); for ( int i=0; i<n_div; i++ ) printf("%016llX",B[i]); printf("\n"); int rr = 1; for ( int i=0; i<n_div; i++ ) for ( int ii=0; ii<64; ii++ ) if ((B[i]&(((ull)1)<<ii))&&(i*64+ii>=b)) { rr=0; L[i*64+ii].push_back( move ); } if ( rr ) { printf("%d\n",move); exit(0); } for ( int i=b; i<n; i++ ) while ( !L[i].empty() && L[i].front()<move-3*n ) L[i].pop_front(); swap( A, B ); } /*for ( int i=0; i<n; i++ ) { for ( const int &j : L[i] ) printf("%d ",j); printf("\n"); }*/ //return 0; /*int n = 100; for ( int i=0; i<4; i++ ) { L[1].push_back( i*4+1 ); L[1].push_back( i*4+3 ); L[2].push_back( i*5+0 ); }*/ for ( int i=0; i<n; i++ ) if (!(L[i].empty())) { int iltmp = 0; int tmp[ 1003 ]; for ( int &j : L[i] ) tmp[iltmp++] = j; int d,pp; for ( d=1; d<=n+1; d++ ) { pp = iltmp-1; int aa = tmp[pp]%d; pp--; while ( pp >=0 && tmp[pp]%d != aa ) pp--; if ( pp<0 ) continue; pp++; pp = iltmp-pp; int yy = 1; for ( int j=iltmp-pp-1; yy&&j>=0; j-- ) if ( tmp[j]%d!=tmp[j+pp]%d || (tmp[j+pp]-tmp[j]>d) ) yy=0; if ( yy ) break; } //printf("%d %d\n",i,d); if ( d > n ) failed(); if ( d == 1 && iltmp ) failed(); int DD[1003],ildd=0; int dd = d, wskdd = 2; while ( wskdd<=d ) { if (!(dd%wskdd)) { int a = 1; while (!(dd%wskdd)) { a*=wskdd; dd/=wskdd; } DD[ildd++]=a; } wskdd++; } for ( int j=0; j<pp; j++ ) { for ( int k=0; k<ildd; k++ ) R[DD[k]].insert( tmp[j]%DD[k] ); } } /*printf("\n"); for ( int i=0; i<n; i++ ) if ( R[i].size() ) { printf("%d ",i); for ( const int &j : R[i] ) printf("%d ",j); printf("\n"); } printf("\n");*/ for ( int i=n; i>=2; i-- ) if ( R[i].size() ) { int dd = i; int md = 2; while ( dd%md ) md++; if ( dd%(md*md) ) continue; while (!(dd%md)) dd/=md; if ( dd == 1 ) { for ( int j=md; j<i; j*=md ) if ( R[j].size() ) { int st = i/j; for ( const int &r : R[j] ) { for ( int k=0; k<st; k++ ) R[i].insert( k*j+r ); } R[j].clear(); } } } ull mul=1,wynik=0; for ( int i=0; i<n; i++ ) if (R[i].size()) { if ( R[i].size() == i ) failed(); int wsk = 0; for ( const int &j : R[i] ) { if ( j != wsk ) break; wsk++; } int d = i; int r = wsk; while ( (int)(wynik%d) != r ) wynik += mul; mul *= d; } while ( wynik < (ull)max_move ) wynik += mul; printf("%llu\n",wynik); return 0; } |