#include <iostream> #include <cmath> #include <cstring> #include <cstdio> #include <algorithm> #include <vector> using namespace std; namespace fastIO{ #define BUF_SIZE 100000 #define OUT_SIZE 100000 #define ll long long //fread->read bool IOerror=0; inline char nc(){ static char buf[BUF_SIZE],*p1=buf+BUF_SIZE,*pend=buf+BUF_SIZE; if (p1==pend){ p1=buf; pend=buf+fread(buf,1,BUF_SIZE,stdin); if (pend==p1){IOerror=1;return -1;} //{printf("IO error!\n");system("pause");for (;;);exit(0);} } return *p1++; } inline bool blank(char ch){return ch==' '||ch=='\n'||ch=='\r'||ch=='\t';} inline void read(int &x){ bool sign=0; char ch=nc(); x=0; for (;blank(ch);ch=nc()); if (IOerror)return; if (ch=='-')sign=1,ch=nc(); for (;ch>='0'&&ch<='9';ch=nc())x=x*10+ch-'0'; if (sign)x=-x; } inline void read(ll &x){ bool sign=0; char ch=nc(); x=0; for (;blank(ch);ch=nc()); if (IOerror)return; if (ch=='-')sign=1,ch=nc(); for (;ch>='0'&&ch<='9';ch=nc())x=x*10+ch-'0'; if (sign)x=-x; } inline void read(double &x){ bool sign=0; char ch=nc(); x=0; for (;blank(ch);ch=nc()); if (IOerror)return; if (ch=='-')sign=1,ch=nc(); for (;ch>='0'&&ch<='9';ch=nc())x=x*10+ch-'0'; if (ch=='.'){ double tmp=1; ch=nc(); for (;ch>='0'&&ch<='9';ch=nc())tmp/=10.0,x+=tmp*(ch-'0'); } if (sign)x=-x; } inline void read(char *s){ char ch=nc(); for (;blank(ch);ch=nc()); if (IOerror)return; for (;!blank(ch)&&!IOerror;ch=nc())*s++=ch; *s=0; } inline void read(char &c){ for (c=nc();blank(c);c=nc()); if (IOerror){c=-1;return;} } //getchar->read inline void read1(int &x){ char ch;int bo=0;x=0; for (ch=getchar();ch<'0'||ch>'9';ch=getchar())if (ch=='-')bo=1; for (;ch>='0'&&ch<='9';x=x*10+ch-'0',ch=getchar()); if (bo)x=-x; } inline void read1(ll &x){ char ch;int bo=0;x=0; for (ch=getchar();ch<'0'||ch>'9';ch=getchar())if (ch=='-')bo=1; for (;ch>='0'&&ch<='9';x=x*10+ch-'0',ch=getchar()); if (bo)x=-x; } inline void read1(double &x){ char ch;int bo=0;x=0; for (ch=getchar();ch<'0'||ch>'9';ch=getchar())if (ch=='-')bo=1; for (;ch>='0'&&ch<='9';x=x*10+ch-'0',ch=getchar()); if (ch=='.'){ double tmp=1; for (ch=getchar();ch>='0'&&ch<='9';tmp/=10.0,x+=tmp*(ch-'0'),ch=getchar()); } if (bo)x=-x; } inline void read1(char *s){ char ch=getchar(); for (;blank(ch);ch=getchar()); for (;!blank(ch);ch=getchar())*s++=ch; *s=0; } inline void read1(char &c){for (c=getchar();blank(c);c=getchar());} //scanf->read inline void read2(int &x){scanf("%d",&x);} inline void read2(ll &x){ #ifdef _WIN32 scanf("%I64d",&x); #else #ifdef __linux scanf("%lld",&x); #else puts("error:can't recognize the system!"); #endif #endif } inline void read2(double &x){scanf("%lf",&x);} inline void read2(char *s){scanf("%s",s);} inline void read2(char &c){scanf(" %c",&c);} inline void readln2(char *s){gets(s);} //fwrite->write struct Ostream_fwrite{ char *buf,*p1,*pend; Ostream_fwrite(){buf=new char[BUF_SIZE];p1=buf;pend=buf+BUF_SIZE;} void out(char ch){ if (p1==pend){ fwrite(buf,1,BUF_SIZE,stdout);p1=buf; } *p1++=ch; } void print(int x){ static char s[15],*s1;s1=s; if (!x)*s1++='0';if (x<0)out('-'),x=-x; while(x)*s1++=x%10+'0',x/=10; while(s1--!=s)out(*s1); } void println(int x){ static char s[15],*s1;s1=s; if (!x)*s1++='0';if (x<0)out('-'),x=-x; while(x)*s1++=x%10+'0',x/=10; while(s1--!=s)out(*s1); out('\n'); } void print(ll x){ static char s[25],*s1;s1=s; if (!x)*s1++='0';if (x<0)out('-'),x=-x; while(x)*s1++=x%10+'0',x/=10; while(s1--!=s)out(*s1); } void println(ll x){ static char s[25],*s1;s1=s; if (!x)*s1++='0';if (x<0)out('-'),x=-x; while(x)*s1++=x%10+'0',x/=10; while(s1--!=s)out(*s1); out('\n'); } void print(double x,int y){ static ll mul[]={1,10,100,1000,10000,100000,1000000,10000000,100000000, 1000000000,10000000000LL,100000000000LL,1000000000000LL,10000000000000LL, 100000000000000LL,1000000000000000LL,10000000000000000LL,100000000000000000LL}; if (x<-1e-12)out('-'),x=-x;x*=mul[y]; ll x1=(ll)floor(x); if (x-floor(x)>=0.5)++x1; ll x2=x1/mul[y],x3=x1-x2*mul[y]; print(x2); if (y>0){out('.'); for (size_t i=1;i<y&&x3*mul[i]<mul[y];out('0'),++i); print(x3);} } void println(double x,int y){print(x,y);out('\n');} void print(char *s){while (*s)out(*s++);} void println(char *s){while (*s)out(*s++);out('\n');} void flush(){if (p1!=buf){fwrite(buf,1,p1-buf,stdout);p1=buf;}} ~Ostream_fwrite(){flush();} }Ostream; inline void print(int x){Ostream.print(x);} inline void println(int x){Ostream.println(x);} inline void print(char x){Ostream.out(x);} inline void println(char x){Ostream.out(x);Ostream.out('\n');} inline void print(ll x){Ostream.print(x);} inline void println(ll x){Ostream.println(x);} inline void print(double x,int y){Ostream.print(x,y);} inline void println(double x,int y){Ostream.println(x,y);} inline void print(char *s){Ostream.print(s);} inline void println(char *s){Ostream.println(s);} inline void println(){Ostream.out('\n');} inline void flush(){Ostream.flush();} //puts->write char Out[OUT_SIZE],*o=Out; inline void print1(int x){ static char buf[15]; char *p1=buf;if (!x)*p1++='0';if (x<0)*o++='-',x=-x; while(x)*p1++=x%10+'0',x/=10; while(p1--!=buf)*o++=*p1; } inline void println1(int x){print1(x);*o++='\n';} inline void print1(ll x){ static char buf[25]; char *p1=buf;if (!x)*p1++='0';if (x<0)*o++='-',x=-x; while(x)*p1++=x%10+'0',x/=10; while(p1--!=buf)*o++=*p1; } inline void println1(ll x){print1(x);*o++='\n';} inline void print1(char c){*o++=c;} inline void println1(char c){*o++=c;*o++='\n';} inline void print1(char *s){while (*s)*o++=*s++;} inline void println1(char *s){print1(s);*o++='\n';} inline void println1(){*o++='\n';} inline void flush1(){if (o!=Out){if (*(o-1)=='\n')*--o=0;puts(Out);}} struct puts_write{ ~puts_write(){flush1();} }_puts; inline void print2(int x){printf("%d",x);} inline void println2(int x){printf("%d\n",x);} inline void print2(char x){printf("%c",x);} inline void println2(char x){printf("%c\n",x);} inline void print2(ll x){ #ifdef _WIN32 printf("%I64d",x); #else #ifdef __linux printf("%lld",x); #else puts("error:can't recognize the system!"); #endif #endif } inline void println2(ll x){print2(x);printf("\n");} inline void println2(){printf("\n");} #undef ll #undef OUT_SIZE #undef BUF_SIZE }; using namespace fastIO; const int N=500000; struct query{ int where,w; }q[N+10]; struct tree{ int l,r,w; }t[N*25]; struct atom2{ int l,r; }; int C[N*25],tot,linkL[N*25],linkR[N*25],num[N*25]; int len,root[N+10],n,m,w[N+10]; int buildtree(int k1,int k2){ int now=++len; if (k1==k2){ t[now].w=w[k1]; return now; } int mid=k1+k2>>1; t[now].l=buildtree(k1,mid); t[now].r=buildtree(mid+1,k2); return now; } int insert(int k1,int k2,int k3,int k4,int k5){ int now=++len; t[now]=t[k1]; if (k2==k3) { t[now].w=k5; return now; } int mid=k2+k3>>1; if (mid>=k4){ t[now].l=insert(t[k1].l,k2,mid,k4,k5); } else { t[now].r=insert(t[k1].r,mid+1,k3,k4,k5); } return now; } vector<int>A[N+10]; int a[N+10],c[N+10],x[N+10],y[N+10],sa[N+10]; int pd[N*25],where[N+10],sign,loc[N*25]; int compare(int k1,int k2){ return num[linkL[k1]]<num[linkL[k2]]||(num[linkL[k1]]==num[linkL[k2]]&&k1<k2); } int compare2(int k1,int k2){ return t[C[k1]].w<t[C[k2]].w; } void getnum(atom2 mem){ int n=mem.r-mem.l+1; for (int i=1;i<=n;i++) c[i]=0; for (int i=1;i<=n;i++) x[i]=num[linkR[i+mem.l-1]]; for (int i=1;i<=n;i++) c[x[i]]++; for (int i=1;i<=n;i++) c[i]+=c[i-1]; for (int i=1;i<=n;i++){ y[c[x[i]]]=i; c[x[i]]--; } for (int i=1;i<=n;i++) c[i]=0; for (int i=1;i<=n;i++) x[i]=num[linkL[i+mem.l-1]]; for (int i=1;i<=n;i++) c[x[y[i]]]++; for (int i=1;i<=n;i++) c[i]+=c[i-1]; for (int i=n;i;i--){ sa[c[x[y[i]]]]=y[i]+mem.l-1; c[x[y[i]]]--; } int cur=1; num[sa[1]]=1; for (int i=2;i<=n;i++){ if (num[linkL[sa[i]]]!=num[linkL[sa[i-1]]]||num[linkR[sa[i]]]!=num[linkR[sa[i-1]]]) cur++; num[sa[i]]=cur; } } void clearhashtable(){ sign++; len=0; } int insert(int k1){ if (pd[k1]==sign) return loc[k1]; len++; pd[k1]=sign; loc[k1]=len+tot; where[len]=k1; return loc[k1]; } void solve(int l,int r,atom2 mem){ if (l==r){ int len=mem.r-mem.l+1; for (int i=1;i<=len;i++) a[i]=mem.l+i-1; sort(a+1,a+len+1,compare2); int cur=1; num[a[1]]=1; for (int i=2;i<=len;i++){ if (t[C[a[i]]].w!=t[C[a[i-1]]].w) cur++; num[a[i]]=cur; } return; } clearhashtable(); for (int i=mem.l;i<=mem.r;i++) linkL[i]=insert(t[C[i]].l); atom2 L=(atom2){tot+1,tot+len}; for (int i=1;i<=len;i++) C[i+tot]=where[i]; tot+=len; clearhashtable(); for (int i=mem.l;i<=mem.r;i++) linkR[i]=insert(t[C[i]].r); atom2 R=(atom2){tot+1,tot+len}; for (int i=1;i<=len;i++) C[i+tot]=where[i]; tot+=len; //cout<<tot<<endl; int mid=l+r>>1; solve(l,mid,L); solve(mid+1,r,R); // cout<<"in"<<endl; getnum(mem); // cout<<"out"<<endl; // cout<<"merge "<<l<<" "<<r<<endl; // for (int i=mem.l;i<=mem.r;i++) cout<<linkL[i]-L.l+1<<" "<<linkR[i]-R.l+1<<endl; // for (int i=L.l;i<=L.r;i++) cout<<num[i]<<" "; cout<<endl; // for (int i=R.l;i<=R.r;i++) cout<<num[i]<<" "; cout<<endl; // for (int i=mem.l;i<=mem.r;i++) cout<<num[i]<<" "; cout<<endl; } int get(int where,int num){ return lower_bound(A[where].begin(),A[where].end(),num)-A[where].begin()+1; } int getrand(){ return rand(); } const int inf=1e9; int getw(){ return rand()%(inf*2+1)-inf; } void readdata(){ read(n); read(m); for (int i=1;i<=n;i++) read(w[i]); for (int i=2;i<=m;i++){ read(q[i].where); read(q[i].w); } } void gendata(){ n=500000; m=500000; for (int i=1;i<=n;i++) w[i]=getw(); for (int i=2;i<=m;i++){ q[i].where=getrand()%n+1; q[i].w=getw(); } } int main(){ //gendata(); readdata(); for (int i=1;i<=n;i++) A[i].push_back(w[i]); for (int i=2;i<=m;i++){ A[q[i].where].push_back(q[i].w); } for (int i=1;i<=n;i++){ sort(A[i].begin(),A[i].end()); A[i].resize(unique(A[i].begin(),A[i].end())-A[i].begin()); } for (int i=1;i<=n;i++) w[i]=get(i,w[i]); for (int i=2;i<=m;i++) q[i].w=get(q[i].where,q[i].w); root[1]=buildtree(1,n); for (int i=2;i<=m;i++) root[i]=insert(root[i-1],1,n,q[i].where,q[i].w); tot=m; clearhashtable(); for (int i=1;i<=m;i++) linkL[i]=insert(root[i]); atom2 cur=(atom2){tot+1,tot+len}; for (int i=1;i<=len;i++) C[tot+i]=where[i]; tot+=len; solve(1,n,cur); for (int i=1;i<=m;i++) a[i]=i; sort(a+1,a+m+1,compare); for (int i=1;i<=m;i++) printf("%d ",a[i]," \n"[i==m]); printf("\n"); 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 | #include <iostream> #include <cmath> #include <cstring> #include <cstdio> #include <algorithm> #include <vector> using namespace std; namespace fastIO{ #define BUF_SIZE 100000 #define OUT_SIZE 100000 #define ll long long //fread->read bool IOerror=0; inline char nc(){ static char buf[BUF_SIZE],*p1=buf+BUF_SIZE,*pend=buf+BUF_SIZE; if (p1==pend){ p1=buf; pend=buf+fread(buf,1,BUF_SIZE,stdin); if (pend==p1){IOerror=1;return -1;} //{printf("IO error!\n");system("pause");for (;;);exit(0);} } return *p1++; } inline bool blank(char ch){return ch==' '||ch=='\n'||ch=='\r'||ch=='\t';} inline void read(int &x){ bool sign=0; char ch=nc(); x=0; for (;blank(ch);ch=nc()); if (IOerror)return; if (ch=='-')sign=1,ch=nc(); for (;ch>='0'&&ch<='9';ch=nc())x=x*10+ch-'0'; if (sign)x=-x; } inline void read(ll &x){ bool sign=0; char ch=nc(); x=0; for (;blank(ch);ch=nc()); if (IOerror)return; if (ch=='-')sign=1,ch=nc(); for (;ch>='0'&&ch<='9';ch=nc())x=x*10+ch-'0'; if (sign)x=-x; } inline void read(double &x){ bool sign=0; char ch=nc(); x=0; for (;blank(ch);ch=nc()); if (IOerror)return; if (ch=='-')sign=1,ch=nc(); for (;ch>='0'&&ch<='9';ch=nc())x=x*10+ch-'0'; if (ch=='.'){ double tmp=1; ch=nc(); for (;ch>='0'&&ch<='9';ch=nc())tmp/=10.0,x+=tmp*(ch-'0'); } if (sign)x=-x; } inline void read(char *s){ char ch=nc(); for (;blank(ch);ch=nc()); if (IOerror)return; for (;!blank(ch)&&!IOerror;ch=nc())*s++=ch; *s=0; } inline void read(char &c){ for (c=nc();blank(c);c=nc()); if (IOerror){c=-1;return;} } //getchar->read inline void read1(int &x){ char ch;int bo=0;x=0; for (ch=getchar();ch<'0'||ch>'9';ch=getchar())if (ch=='-')bo=1; for (;ch>='0'&&ch<='9';x=x*10+ch-'0',ch=getchar()); if (bo)x=-x; } inline void read1(ll &x){ char ch;int bo=0;x=0; for (ch=getchar();ch<'0'||ch>'9';ch=getchar())if (ch=='-')bo=1; for (;ch>='0'&&ch<='9';x=x*10+ch-'0',ch=getchar()); if (bo)x=-x; } inline void read1(double &x){ char ch;int bo=0;x=0; for (ch=getchar();ch<'0'||ch>'9';ch=getchar())if (ch=='-')bo=1; for (;ch>='0'&&ch<='9';x=x*10+ch-'0',ch=getchar()); if (ch=='.'){ double tmp=1; for (ch=getchar();ch>='0'&&ch<='9';tmp/=10.0,x+=tmp*(ch-'0'),ch=getchar()); } if (bo)x=-x; } inline void read1(char *s){ char ch=getchar(); for (;blank(ch);ch=getchar()); for (;!blank(ch);ch=getchar())*s++=ch; *s=0; } inline void read1(char &c){for (c=getchar();blank(c);c=getchar());} //scanf->read inline void read2(int &x){scanf("%d",&x);} inline void read2(ll &x){ #ifdef _WIN32 scanf("%I64d",&x); #else #ifdef __linux scanf("%lld",&x); #else puts("error:can't recognize the system!"); #endif #endif } inline void read2(double &x){scanf("%lf",&x);} inline void read2(char *s){scanf("%s",s);} inline void read2(char &c){scanf(" %c",&c);} inline void readln2(char *s){gets(s);} //fwrite->write struct Ostream_fwrite{ char *buf,*p1,*pend; Ostream_fwrite(){buf=new char[BUF_SIZE];p1=buf;pend=buf+BUF_SIZE;} void out(char ch){ if (p1==pend){ fwrite(buf,1,BUF_SIZE,stdout);p1=buf; } *p1++=ch; } void print(int x){ static char s[15],*s1;s1=s; if (!x)*s1++='0';if (x<0)out('-'),x=-x; while(x)*s1++=x%10+'0',x/=10; while(s1--!=s)out(*s1); } void println(int x){ static char s[15],*s1;s1=s; if (!x)*s1++='0';if (x<0)out('-'),x=-x; while(x)*s1++=x%10+'0',x/=10; while(s1--!=s)out(*s1); out('\n'); } void print(ll x){ static char s[25],*s1;s1=s; if (!x)*s1++='0';if (x<0)out('-'),x=-x; while(x)*s1++=x%10+'0',x/=10; while(s1--!=s)out(*s1); } void println(ll x){ static char s[25],*s1;s1=s; if (!x)*s1++='0';if (x<0)out('-'),x=-x; while(x)*s1++=x%10+'0',x/=10; while(s1--!=s)out(*s1); out('\n'); } void print(double x,int y){ static ll mul[]={1,10,100,1000,10000,100000,1000000,10000000,100000000, 1000000000,10000000000LL,100000000000LL,1000000000000LL,10000000000000LL, 100000000000000LL,1000000000000000LL,10000000000000000LL,100000000000000000LL}; if (x<-1e-12)out('-'),x=-x;x*=mul[y]; ll x1=(ll)floor(x); if (x-floor(x)>=0.5)++x1; ll x2=x1/mul[y],x3=x1-x2*mul[y]; print(x2); if (y>0){out('.'); for (size_t i=1;i<y&&x3*mul[i]<mul[y];out('0'),++i); print(x3);} } void println(double x,int y){print(x,y);out('\n');} void print(char *s){while (*s)out(*s++);} void println(char *s){while (*s)out(*s++);out('\n');} void flush(){if (p1!=buf){fwrite(buf,1,p1-buf,stdout);p1=buf;}} ~Ostream_fwrite(){flush();} }Ostream; inline void print(int x){Ostream.print(x);} inline void println(int x){Ostream.println(x);} inline void print(char x){Ostream.out(x);} inline void println(char x){Ostream.out(x);Ostream.out('\n');} inline void print(ll x){Ostream.print(x);} inline void println(ll x){Ostream.println(x);} inline void print(double x,int y){Ostream.print(x,y);} inline void println(double x,int y){Ostream.println(x,y);} inline void print(char *s){Ostream.print(s);} inline void println(char *s){Ostream.println(s);} inline void println(){Ostream.out('\n');} inline void flush(){Ostream.flush();} //puts->write char Out[OUT_SIZE],*o=Out; inline void print1(int x){ static char buf[15]; char *p1=buf;if (!x)*p1++='0';if (x<0)*o++='-',x=-x; while(x)*p1++=x%10+'0',x/=10; while(p1--!=buf)*o++=*p1; } inline void println1(int x){print1(x);*o++='\n';} inline void print1(ll x){ static char buf[25]; char *p1=buf;if (!x)*p1++='0';if (x<0)*o++='-',x=-x; while(x)*p1++=x%10+'0',x/=10; while(p1--!=buf)*o++=*p1; } inline void println1(ll x){print1(x);*o++='\n';} inline void print1(char c){*o++=c;} inline void println1(char c){*o++=c;*o++='\n';} inline void print1(char *s){while (*s)*o++=*s++;} inline void println1(char *s){print1(s);*o++='\n';} inline void println1(){*o++='\n';} inline void flush1(){if (o!=Out){if (*(o-1)=='\n')*--o=0;puts(Out);}} struct puts_write{ ~puts_write(){flush1();} }_puts; inline void print2(int x){printf("%d",x);} inline void println2(int x){printf("%d\n",x);} inline void print2(char x){printf("%c",x);} inline void println2(char x){printf("%c\n",x);} inline void print2(ll x){ #ifdef _WIN32 printf("%I64d",x); #else #ifdef __linux printf("%lld",x); #else puts("error:can't recognize the system!"); #endif #endif } inline void println2(ll x){print2(x);printf("\n");} inline void println2(){printf("\n");} #undef ll #undef OUT_SIZE #undef BUF_SIZE }; using namespace fastIO; const int N=500000; struct query{ int where,w; }q[N+10]; struct tree{ int l,r,w; }t[N*25]; struct atom2{ int l,r; }; int C[N*25],tot,linkL[N*25],linkR[N*25],num[N*25]; int len,root[N+10],n,m,w[N+10]; int buildtree(int k1,int k2){ int now=++len; if (k1==k2){ t[now].w=w[k1]; return now; } int mid=k1+k2>>1; t[now].l=buildtree(k1,mid); t[now].r=buildtree(mid+1,k2); return now; } int insert(int k1,int k2,int k3,int k4,int k5){ int now=++len; t[now]=t[k1]; if (k2==k3) { t[now].w=k5; return now; } int mid=k2+k3>>1; if (mid>=k4){ t[now].l=insert(t[k1].l,k2,mid,k4,k5); } else { t[now].r=insert(t[k1].r,mid+1,k3,k4,k5); } return now; } vector<int>A[N+10]; int a[N+10],c[N+10],x[N+10],y[N+10],sa[N+10]; int pd[N*25],where[N+10],sign,loc[N*25]; int compare(int k1,int k2){ return num[linkL[k1]]<num[linkL[k2]]||(num[linkL[k1]]==num[linkL[k2]]&&k1<k2); } int compare2(int k1,int k2){ return t[C[k1]].w<t[C[k2]].w; } void getnum(atom2 mem){ int n=mem.r-mem.l+1; for (int i=1;i<=n;i++) c[i]=0; for (int i=1;i<=n;i++) x[i]=num[linkR[i+mem.l-1]]; for (int i=1;i<=n;i++) c[x[i]]++; for (int i=1;i<=n;i++) c[i]+=c[i-1]; for (int i=1;i<=n;i++){ y[c[x[i]]]=i; c[x[i]]--; } for (int i=1;i<=n;i++) c[i]=0; for (int i=1;i<=n;i++) x[i]=num[linkL[i+mem.l-1]]; for (int i=1;i<=n;i++) c[x[y[i]]]++; for (int i=1;i<=n;i++) c[i]+=c[i-1]; for (int i=n;i;i--){ sa[c[x[y[i]]]]=y[i]+mem.l-1; c[x[y[i]]]--; } int cur=1; num[sa[1]]=1; for (int i=2;i<=n;i++){ if (num[linkL[sa[i]]]!=num[linkL[sa[i-1]]]||num[linkR[sa[i]]]!=num[linkR[sa[i-1]]]) cur++; num[sa[i]]=cur; } } void clearhashtable(){ sign++; len=0; } int insert(int k1){ if (pd[k1]==sign) return loc[k1]; len++; pd[k1]=sign; loc[k1]=len+tot; where[len]=k1; return loc[k1]; } void solve(int l,int r,atom2 mem){ if (l==r){ int len=mem.r-mem.l+1; for (int i=1;i<=len;i++) a[i]=mem.l+i-1; sort(a+1,a+len+1,compare2); int cur=1; num[a[1]]=1; for (int i=2;i<=len;i++){ if (t[C[a[i]]].w!=t[C[a[i-1]]].w) cur++; num[a[i]]=cur; } return; } clearhashtable(); for (int i=mem.l;i<=mem.r;i++) linkL[i]=insert(t[C[i]].l); atom2 L=(atom2){tot+1,tot+len}; for (int i=1;i<=len;i++) C[i+tot]=where[i]; tot+=len; clearhashtable(); for (int i=mem.l;i<=mem.r;i++) linkR[i]=insert(t[C[i]].r); atom2 R=(atom2){tot+1,tot+len}; for (int i=1;i<=len;i++) C[i+tot]=where[i]; tot+=len; //cout<<tot<<endl; int mid=l+r>>1; solve(l,mid,L); solve(mid+1,r,R); // cout<<"in"<<endl; getnum(mem); // cout<<"out"<<endl; // cout<<"merge "<<l<<" "<<r<<endl; // for (int i=mem.l;i<=mem.r;i++) cout<<linkL[i]-L.l+1<<" "<<linkR[i]-R.l+1<<endl; // for (int i=L.l;i<=L.r;i++) cout<<num[i]<<" "; cout<<endl; // for (int i=R.l;i<=R.r;i++) cout<<num[i]<<" "; cout<<endl; // for (int i=mem.l;i<=mem.r;i++) cout<<num[i]<<" "; cout<<endl; } int get(int where,int num){ return lower_bound(A[where].begin(),A[where].end(),num)-A[where].begin()+1; } int getrand(){ return rand(); } const int inf=1e9; int getw(){ return rand()%(inf*2+1)-inf; } void readdata(){ read(n); read(m); for (int i=1;i<=n;i++) read(w[i]); for (int i=2;i<=m;i++){ read(q[i].where); read(q[i].w); } } void gendata(){ n=500000; m=500000; for (int i=1;i<=n;i++) w[i]=getw(); for (int i=2;i<=m;i++){ q[i].where=getrand()%n+1; q[i].w=getw(); } } int main(){ //gendata(); readdata(); for (int i=1;i<=n;i++) A[i].push_back(w[i]); for (int i=2;i<=m;i++){ A[q[i].where].push_back(q[i].w); } for (int i=1;i<=n;i++){ sort(A[i].begin(),A[i].end()); A[i].resize(unique(A[i].begin(),A[i].end())-A[i].begin()); } for (int i=1;i<=n;i++) w[i]=get(i,w[i]); for (int i=2;i<=m;i++) q[i].w=get(q[i].where,q[i].w); root[1]=buildtree(1,n); for (int i=2;i<=m;i++) root[i]=insert(root[i-1],1,n,q[i].where,q[i].w); tot=m; clearhashtable(); for (int i=1;i<=m;i++) linkL[i]=insert(root[i]); atom2 cur=(atom2){tot+1,tot+len}; for (int i=1;i<=len;i++) C[tot+i]=where[i]; tot+=len; solve(1,n,cur); for (int i=1;i<=m;i++) a[i]=i; sort(a+1,a+m+1,compare); for (int i=1;i<=m;i++) printf("%d ",a[i]," \n"[i==m]); printf("\n"); return 0; } |