#include<stdio.h> #include<cstring> #include<cstdlib> #include<cmath> #include<iostream> #include<algorithm> #include<vector> #include<map> #include<set> #include<queue> #include<bitset> #include<utility> #include<functional> #include<iomanip> #include<sstream> #include<ctime> #include<cassert> using namespace std; #define y0 y0z #define y1 y1z #define yn ynz #define j0 j0z #define j1 j1z #define jn jnz #define tm tmz #define buli(x) (__builtin_popcount(x)) #define bur0(x) (__builtin_ctzll(x)) #define bul2(x) (63-__builtin_clzll(x)) #define mp make_pair #define pb push_back #define fi first #define se second #define fil(a,b) memset((a),(b),sizeof(a)) #define cl(a) fil(a,0) #define siz(x) ((int)(x).size()) #define all(x) (x).begin(),(x).end() #define foreach(it,a) for(__typeof((a).begin()) it=(a).begin();it!=(a).end();it++) #define rep(i,a,b) for (int i=(a),_ed=(b);i<_ed;i++) #define per(i,a,b) for (int i=(b)-1,_ed=(a);i>=_ed;i--) #define forg(i,gu) for (int i=gu;~i;i=e[i].next) #define pw(x) ((ll(1))<<(x)) #define upmo(a,b) (((a)=((a)+(b))%mo)<0?(a)+=mo:(a)) #define mmo(a,b) (((a)=1ll*(a)*(b)%mo)<0?(a)+=mo:(a)) void getre(){int x=0;printf("%d\n",1/x);} void gettle(){int res=1;while(1)res<<=1;printf("%d\n",res);} typedef pair<int,int> pii; typedef vector<int> vi; typedef vector<pii> vpii; template<typename T,typename S>inline bool upmin(T&a,const S&b){return a>b?a=b,1:0;} template<typename T,typename S>inline bool upmax(T&a,const S&b){return a<b?a=b,1:0;} template<typename N,typename PN>inline N flo(N a,PN b){return a>=0?a/b:-((-a-1)/b)-1;} template<typename N,typename PN>inline N cei(N a,PN b){return a>0?(a-1)/b+1:-(-a/b);} template<typename N>N gcd(N a,N b){return b?gcd(b,a%b):a;} template<typename N>inline int sgn(N a){return a>0?1:(a<0?-1:0);} #if ( ( _WIN32 || __WIN32__ ) && __cplusplus < 201103L) #define lld "%I64d" #else #define lld "%lld" #endif inline void gn(long long&x){ int sg=1;char c;while(((c=getchar())<'0'||c>'9')&&c!='-');c=='-'?(sg=-1,x=0):(x=c-'0'); while((c=getchar())>='0'&&c<='9')x=x*10+c-'0';x*=sg; } inline void gn(int&x){long long t;gn(t);x=t;} inline void gn(unsigned long long&x){long long t;gn(t);x=t;} inline void gn(double&x){double t;scanf("%lf",&t);x=t;} inline void gn(long double&x){double t;scanf("%lf",&t);x=t;} inline void gs(char *s){scanf("%s",s);} inline void gc(char &c){while((c=getchar())>126 || c<33);} inline void pc(char c){putchar(c);} #ifdef JCVB #define debug(...) fprintf(stderr, __VA_ARGS__) #else #define debug(...) #endif typedef long long ll; typedef double db; inline ll sqr(ll a){return a*a;} inline db sqrf(db a){return a*a;} const int inf=0x3f3f3f3f; //const ll inf=0x3f3f3f3f3f3f3f3fll; const db pi=3.14159265358979323846264338327950288L; const db eps=1e-6; //const int mo=0; //int qp(int a,ll b){int n=1;do{if(b&1)n=1ll*n*a%mo;a=1ll*a*a%mo;}while(b>>=1);return n;} const int N=3005,Q = 100005; char strs[N],strt[N]; char reverses[N],reverset[N]; int n,m; int q; int mid_for_compare; struct query{ int i1,i2;// 1..n i1<=i2 int j1,j2;// 1..m int id; int typ()const{ if(i2<=mid_for_compare-1) return 1; if(i1>=mid_for_compare+1) return 2; return 0; } void read(int i){ id=i; //i1=rand()%10+1,i2=n-rand()%10; //j1=rand()%10+1,j2=n-rand()%10; gn(i1);gn(i2); gn(j1);gn(j2); } }queries[Q]; int queryans[Q]; int cmp(const query&a,const query&b) { return a.typ()<b.typ(); } int lcs[N][N]; int dell[N][N],delu[N][N]; int rightj[N][N]; void dolcs(char *s,int n,char *t,int m) {//s[1..n] rep(i,0,n+1)lcs[i][0]=dell[i][0]=delu[i][0]=dell[i][m+1]=0; rep(j,0,m+1)lcs[0][j]=dell[0][j]=delu[0][j]=0; rep(i,1,n+1) rep(j,1,m+1) { if(s[i]==t[j]) lcs[i][j] = lcs[i-1][j-1]+1; else lcs[i][j]=max(lcs[i-1][j],lcs[i][j-1]); dell[i][j]=lcs[i][j]-lcs[i][j-1]; delu[i][j]=lcs[i][j]-lcs[i-1][j]; } rep(jdel,1,m+1) { rightj[jdel][0]=jdel; int leftminus=0; for (int curi=1, curj=jdel;curi<=n;curi++) { while(curj<=m) { if(curj!=jdel)leftminus=1; int after; if(curj!=jdel && s[curi]==t[curj])after=0 - delu[curi][curj]- dell[curi-1][curj]+1; else after = max(0-dell[curi][curj]-leftminus,0-delu[curi][curj]); if(after==0)break; // after = -1 curj++; } rightj[jdel][curi]=curj; dell[curi][rightj[jdel][curi]]++; } rep(i,1,n+1){ rep(j,rightj[jdel][i-1],rightj[jdel][i])delu[i][j]--; } } return; } vector<int> savequery[N][N]; vector<int> savebound[N]; int qdownoldlcs[Q],qupoldlcs[Q]; int qbitdown[Q][N/32+3]; int qbitup[Q][N/32+3]; int qbitupsum[Q]; unsigned int bitdownremove[N]; unsigned int bitupremove[N]; int tempup[N],tempdown[N]; void gao(int il,int ir,int qbegin,int qend) { if(il>ir)return; if(qbegin==qend)return; int mid=il+ir>>1; mid_for_compare = mid; rep(i,mid,ir+1)rep(j,1,m+1)savequery[i][j].clear(); sort(queries+qbegin,queries+qend,cmp); int qend0=qbegin,qend1=qbegin; rep(j,qbegin,qend) { if(queries[j].typ()==0)qend0=j+1; if(queries[j].typ()<=1)qend1=j+1; } if(qbegin!=qend0) { dolcs(strs+mid,ir-mid,strt,m); rep(q,qbegin,qend0) { qdownoldlcs[q] = lcs[queries[q].i2-mid][queries[q].j2]; savequery[queries[q].i2][queries[q].j2].pb(q); } rep(i,mid+1,ir+1) { rep(jdel,0,m+1)savebound[jdel].clear(); rep(jdel,1,m+1) { savebound[rightj[jdel][i-mid]-1].pb(jdel); } rep(t,0,m/32+1)bitdownremove[t]=0; per(jdel,1,m+1) { for(int k=0;k<savebound[jdel].size();k++) { int x = savebound[jdel][k]; bitdownremove[x/32]|=((unsigned)1)<<(x&31); } for(int k=0;k<savequery[i][jdel].size();k++) { int x = savequery[i][jdel][k]; rep(t,0,m/32+1) qbitdown[x][t]=bitdownremove[t]; } } } // s[il..mid] = reverses[n-mid+1..n-il+1] rep(i,il,mid+1)rep(j,1,m+1)savequery[i][j].clear(); dolcs(reverses+n-mid,mid-il+1,reverset,m); rep(q,qbegin,qend0) { qupoldlcs[q] = lcs[mid-queries[q].i1+1][m-queries[q].j1+1]; savequery[queries[q].i1][queries[q].j1].pb(q); } per(i,il,mid+1) { rep(jdel,0,m+1)savebound[jdel].clear(); rep(jdel,1,m+1) { savebound[rightj[jdel][mid-i+1]-1].pb(jdel); } rep(t,0,m/32+1)bitupremove[t]=0; per(jdel,1,m+1) { for(int k=0;k<savebound[jdel].size();k++) { int x = savebound[jdel][k]; bitupremove[(m-x)/32]|=((unsigned)1)<<((m-x)&31); } for(int k=0;k<savequery[i][m-jdel+1].size();k++) { int x = savequery[i][m-jdel+1][k]; qbitupsum[x]=0; rep(t,0,m/32+1) { qbitup[x][t]=bitupremove[t]; } } } } rep(q,qbegin,qend0) { int sum = qdownoldlcs[q]+qupoldlcs[q]; rep(t,0,m/32+1) { if(t*32>=1 && (t+1)*32-1<=m-1) sum-=buli((unsigned int)qbitup[q][t]); else for (int jj=t*32;jj<=(t+1)*32-1;jj++) if(jj>=1 && jj<=m-1 && ((qbitup[q][t]>>(jj&31))&1))sum--; } int ans=0; if(queries[q].j1-1==0) upmax(ans,qdownoldlcs[q]); rep(j,1,max(queries[q].j1-1,1)) { if((qbitdown[q][j/32]>>(j&31))&1) sum--; if((qbitup[q][(j)/32]>>((j)&31))&1) sum++; } rep(j,max(queries[q].j1-1,1),min(queries[q].j2+1,m)) { if((qbitdown[q][j/32]>>(j&31))&1) sum--; upmax(ans,sum); if((qbitup[q][(j)/32]>>((j)&31))&1) sum++; } if(queries[q].j2==m)upmax(ans,qupoldlcs[q]); queryans[queries[q].id]=ans; } } gao(il,mid-1,qend0,qend1); gao(mid+1,ir,qend1,qend); } int main() { #ifdef JCVB //freopen("1.in","r",stdin); //freopen("1.out","w",stdout); int _time_jc=clock(); #endif gn(n);gn(m); gn(q); //n=m=3000,q=100000; gs(strs+1); gs(strt+1); //rep(i,1,n+1)strs[i]=rand()%3+'a'; //rep(i,1,m+1)strt[i]=rand()%3+'a'; rep(i,1,n+1)reverses[i]=strs[n-i+1]; rep(i,1,m+1)reverset[i]=strt[m-i+1]; rep(i,1,q+1)queries[i].read(i); gao(1,n,1,q+1); rep(i,1,q+1)printf("%d\n",queryans[i]); #ifdef JCVB debug("time: %d\n",int(clock()-_time_jc)); #endif 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 | #include<stdio.h> #include<cstring> #include<cstdlib> #include<cmath> #include<iostream> #include<algorithm> #include<vector> #include<map> #include<set> #include<queue> #include<bitset> #include<utility> #include<functional> #include<iomanip> #include<sstream> #include<ctime> #include<cassert> using namespace std; #define y0 y0z #define y1 y1z #define yn ynz #define j0 j0z #define j1 j1z #define jn jnz #define tm tmz #define buli(x) (__builtin_popcount(x)) #define bur0(x) (__builtin_ctzll(x)) #define bul2(x) (63-__builtin_clzll(x)) #define mp make_pair #define pb push_back #define fi first #define se second #define fil(a,b) memset((a),(b),sizeof(a)) #define cl(a) fil(a,0) #define siz(x) ((int)(x).size()) #define all(x) (x).begin(),(x).end() #define foreach(it,a) for(__typeof((a).begin()) it=(a).begin();it!=(a).end();it++) #define rep(i,a,b) for (int i=(a),_ed=(b);i<_ed;i++) #define per(i,a,b) for (int i=(b)-1,_ed=(a);i>=_ed;i--) #define forg(i,gu) for (int i=gu;~i;i=e[i].next) #define pw(x) ((ll(1))<<(x)) #define upmo(a,b) (((a)=((a)+(b))%mo)<0?(a)+=mo:(a)) #define mmo(a,b) (((a)=1ll*(a)*(b)%mo)<0?(a)+=mo:(a)) void getre(){int x=0;printf("%d\n",1/x);} void gettle(){int res=1;while(1)res<<=1;printf("%d\n",res);} typedef pair<int,int> pii; typedef vector<int> vi; typedef vector<pii> vpii; template<typename T,typename S>inline bool upmin(T&a,const S&b){return a>b?a=b,1:0;} template<typename T,typename S>inline bool upmax(T&a,const S&b){return a<b?a=b,1:0;} template<typename N,typename PN>inline N flo(N a,PN b){return a>=0?a/b:-((-a-1)/b)-1;} template<typename N,typename PN>inline N cei(N a,PN b){return a>0?(a-1)/b+1:-(-a/b);} template<typename N>N gcd(N a,N b){return b?gcd(b,a%b):a;} template<typename N>inline int sgn(N a){return a>0?1:(a<0?-1:0);} #if ( ( _WIN32 || __WIN32__ ) && __cplusplus < 201103L) #define lld "%I64d" #else #define lld "%lld" #endif inline void gn(long long&x){ int sg=1;char c;while(((c=getchar())<'0'||c>'9')&&c!='-');c=='-'?(sg=-1,x=0):(x=c-'0'); while((c=getchar())>='0'&&c<='9')x=x*10+c-'0';x*=sg; } inline void gn(int&x){long long t;gn(t);x=t;} inline void gn(unsigned long long&x){long long t;gn(t);x=t;} inline void gn(double&x){double t;scanf("%lf",&t);x=t;} inline void gn(long double&x){double t;scanf("%lf",&t);x=t;} inline void gs(char *s){scanf("%s",s);} inline void gc(char &c){while((c=getchar())>126 || c<33);} inline void pc(char c){putchar(c);} #ifdef JCVB #define debug(...) fprintf(stderr, __VA_ARGS__) #else #define debug(...) #endif typedef long long ll; typedef double db; inline ll sqr(ll a){return a*a;} inline db sqrf(db a){return a*a;} const int inf=0x3f3f3f3f; //const ll inf=0x3f3f3f3f3f3f3f3fll; const db pi=3.14159265358979323846264338327950288L; const db eps=1e-6; //const int mo=0; //int qp(int a,ll b){int n=1;do{if(b&1)n=1ll*n*a%mo;a=1ll*a*a%mo;}while(b>>=1);return n;} const int N=3005,Q = 100005; char strs[N],strt[N]; char reverses[N],reverset[N]; int n,m; int q; int mid_for_compare; struct query{ int i1,i2;// 1..n i1<=i2 int j1,j2;// 1..m int id; int typ()const{ if(i2<=mid_for_compare-1) return 1; if(i1>=mid_for_compare+1) return 2; return 0; } void read(int i){ id=i; //i1=rand()%10+1,i2=n-rand()%10; //j1=rand()%10+1,j2=n-rand()%10; gn(i1);gn(i2); gn(j1);gn(j2); } }queries[Q]; int queryans[Q]; int cmp(const query&a,const query&b) { return a.typ()<b.typ(); } int lcs[N][N]; int dell[N][N],delu[N][N]; int rightj[N][N]; void dolcs(char *s,int n,char *t,int m) {//s[1..n] rep(i,0,n+1)lcs[i][0]=dell[i][0]=delu[i][0]=dell[i][m+1]=0; rep(j,0,m+1)lcs[0][j]=dell[0][j]=delu[0][j]=0; rep(i,1,n+1) rep(j,1,m+1) { if(s[i]==t[j]) lcs[i][j] = lcs[i-1][j-1]+1; else lcs[i][j]=max(lcs[i-1][j],lcs[i][j-1]); dell[i][j]=lcs[i][j]-lcs[i][j-1]; delu[i][j]=lcs[i][j]-lcs[i-1][j]; } rep(jdel,1,m+1) { rightj[jdel][0]=jdel; int leftminus=0; for (int curi=1, curj=jdel;curi<=n;curi++) { while(curj<=m) { if(curj!=jdel)leftminus=1; int after; if(curj!=jdel && s[curi]==t[curj])after=0 - delu[curi][curj]- dell[curi-1][curj]+1; else after = max(0-dell[curi][curj]-leftminus,0-delu[curi][curj]); if(after==0)break; // after = -1 curj++; } rightj[jdel][curi]=curj; dell[curi][rightj[jdel][curi]]++; } rep(i,1,n+1){ rep(j,rightj[jdel][i-1],rightj[jdel][i])delu[i][j]--; } } return; } vector<int> savequery[N][N]; vector<int> savebound[N]; int qdownoldlcs[Q],qupoldlcs[Q]; int qbitdown[Q][N/32+3]; int qbitup[Q][N/32+3]; int qbitupsum[Q]; unsigned int bitdownremove[N]; unsigned int bitupremove[N]; int tempup[N],tempdown[N]; void gao(int il,int ir,int qbegin,int qend) { if(il>ir)return; if(qbegin==qend)return; int mid=il+ir>>1; mid_for_compare = mid; rep(i,mid,ir+1)rep(j,1,m+1)savequery[i][j].clear(); sort(queries+qbegin,queries+qend,cmp); int qend0=qbegin,qend1=qbegin; rep(j,qbegin,qend) { if(queries[j].typ()==0)qend0=j+1; if(queries[j].typ()<=1)qend1=j+1; } if(qbegin!=qend0) { dolcs(strs+mid,ir-mid,strt,m); rep(q,qbegin,qend0) { qdownoldlcs[q] = lcs[queries[q].i2-mid][queries[q].j2]; savequery[queries[q].i2][queries[q].j2].pb(q); } rep(i,mid+1,ir+1) { rep(jdel,0,m+1)savebound[jdel].clear(); rep(jdel,1,m+1) { savebound[rightj[jdel][i-mid]-1].pb(jdel); } rep(t,0,m/32+1)bitdownremove[t]=0; per(jdel,1,m+1) { for(int k=0;k<savebound[jdel].size();k++) { int x = savebound[jdel][k]; bitdownremove[x/32]|=((unsigned)1)<<(x&31); } for(int k=0;k<savequery[i][jdel].size();k++) { int x = savequery[i][jdel][k]; rep(t,0,m/32+1) qbitdown[x][t]=bitdownremove[t]; } } } // s[il..mid] = reverses[n-mid+1..n-il+1] rep(i,il,mid+1)rep(j,1,m+1)savequery[i][j].clear(); dolcs(reverses+n-mid,mid-il+1,reverset,m); rep(q,qbegin,qend0) { qupoldlcs[q] = lcs[mid-queries[q].i1+1][m-queries[q].j1+1]; savequery[queries[q].i1][queries[q].j1].pb(q); } per(i,il,mid+1) { rep(jdel,0,m+1)savebound[jdel].clear(); rep(jdel,1,m+1) { savebound[rightj[jdel][mid-i+1]-1].pb(jdel); } rep(t,0,m/32+1)bitupremove[t]=0; per(jdel,1,m+1) { for(int k=0;k<savebound[jdel].size();k++) { int x = savebound[jdel][k]; bitupremove[(m-x)/32]|=((unsigned)1)<<((m-x)&31); } for(int k=0;k<savequery[i][m-jdel+1].size();k++) { int x = savequery[i][m-jdel+1][k]; qbitupsum[x]=0; rep(t,0,m/32+1) { qbitup[x][t]=bitupremove[t]; } } } } rep(q,qbegin,qend0) { int sum = qdownoldlcs[q]+qupoldlcs[q]; rep(t,0,m/32+1) { if(t*32>=1 && (t+1)*32-1<=m-1) sum-=buli((unsigned int)qbitup[q][t]); else for (int jj=t*32;jj<=(t+1)*32-1;jj++) if(jj>=1 && jj<=m-1 && ((qbitup[q][t]>>(jj&31))&1))sum--; } int ans=0; if(queries[q].j1-1==0) upmax(ans,qdownoldlcs[q]); rep(j,1,max(queries[q].j1-1,1)) { if((qbitdown[q][j/32]>>(j&31))&1) sum--; if((qbitup[q][(j)/32]>>((j)&31))&1) sum++; } rep(j,max(queries[q].j1-1,1),min(queries[q].j2+1,m)) { if((qbitdown[q][j/32]>>(j&31))&1) sum--; upmax(ans,sum); if((qbitup[q][(j)/32]>>((j)&31))&1) sum++; } if(queries[q].j2==m)upmax(ans,qupoldlcs[q]); queryans[queries[q].id]=ans; } } gao(il,mid-1,qend0,qend1); gao(mid+1,ir,qend1,qend); } int main() { #ifdef JCVB //freopen("1.in","r",stdin); //freopen("1.out","w",stdout); int _time_jc=clock(); #endif gn(n);gn(m); gn(q); //n=m=3000,q=100000; gs(strs+1); gs(strt+1); //rep(i,1,n+1)strs[i]=rand()%3+'a'; //rep(i,1,m+1)strt[i]=rand()%3+'a'; rep(i,1,n+1)reverses[i]=strs[n-i+1]; rep(i,1,m+1)reverset[i]=strt[m-i+1]; rep(i,1,q+1)queries[i].read(i); gao(1,n,1,q+1); rep(i,1,q+1)printf("%d\n",queryans[i]); #ifdef JCVB debug("time: %d\n",int(clock()-_time_jc)); #endif return 0; } |