bzoj4032: [HEOI2015] shortest not common substring

Source: Internet
Author: User

Description

After abusing all the longest common substrings and sub-sequences, you decide to do the opposite.

a string "substring" refers to its contiguous paragraph, for example, BCD is a substring of abcdef, but BDE is not. a string of "subsequence" refers to its non-contiguous paragraph, for example, BDE is a abcdef substring, but BDD is not. below, give two lowercase string a, B, please calculate:(1) A shortest substring of a, which is not a substring of B(2) A shortest substring of a, which is not a sub-sequence of B(3) A shortest sub-sequence of a, which is not a substring of B(4) A shortest sub-sequence of a, which is not a sub-sequence of BInput

A string of two lines, one lowercase letter per line, representing A and B, respectively.

Output

Output 4 lines, one integer per line, representing the length of the answer to the above 4 questions. If no answer is met, output-1.

suffix automata and sequence automata for B

(1) (2) Ask to enumerate the left end of a substring directly, and find the first right endpoint that cannot be matched on the automaton.

(3) (4) Ask F[i][j] to consider the first I character of a string, matching the shortest sub-sequence length of node J on the automaton, the answer is F[len (A)][null]

Time Complexity O (len (A) *len (b) +len (b) *26)

#include <cstdio>#include<cstring>Const intinf=0x3f3f3f3f;Chars1[ -],s2[ -];intnx[4111][ -],l[4111],fa[4111],pv=1, ptr=1, f[4007],g[4007];intsnx[ -][ -],sp=1;voidminsint&a,intb) {if(a>b) a=b;}intMain () {scanf ("%s%s", s1+1, s2+1); intL1=strlen (s1+1); intL2=strlen (s2+1);  for(intI=1; i<=l1;++i) s1[i]-='a';  for(intI=1; i<=l2;++i) s2[i]-='a';  for(intI=1; i<=l2;++i) {        intx=S2[i];  for(intJ=SP++;J&AMP;&AMP;!SNX[J][X];--J) snx[j][x]=sp; intp=pv,np=++ptr;pv=NP; L[NP]=l[p]+1;  while(P&&!nx[p][x]) nx[p][x]=np,p=Fa[p]; if(!p) fa[np]=1; Else{            intq=Nx[p][x]; if(l[q]==l[p]+1) fa[np]=Q; Else{                intnq=++ptr; memcpy (Nx[nq],nx[q], -); L[NQ]=l[p]+1; FA[NQ]=Fa[q]; FA[Q]=fa[np]=NQ;  while(p&&nx[p][x]==q) nx[p][x]=nq,p=Fa[p]; }        }    }    intans=inf;  for(intI=1; i<=l1;++i) {         for(intj=i,w=1; j<=l1;++j) {W=Nx[w][s1[j]]; if(!W) {mins (ans,j-i+1);  Break; }}} printf ("%d\n", ans==inf?-1: ans); Ans=inf;  for(intI=1; i<=l1;++i) {         for(intj=i,w=1; j<=l1;++j) {W=Snx[w][s1[j]]; if(!W) {mins (ans,j-i+1);  Break; }}} printf ("%d\n", ans==inf?-1: ans); Memset (F,0x3f,sizeof(int) * (ptr+1)); Memset (g,0x3f,sizeof(int) * (ptr+1)); f[1]=g[1]=0;  for(intI=1; i<=l1;++i) {        intx=S1[i];  for(intj=1; j<=ptr;++j) {mins (G[nx[j][x]],f[j]+1); } memcpy (F,g,sizeof(int) * (ptr+1)); } printf ("%d\n", f[0]==inf?-1: f[0]); Memset (F,0x3f,sizeof(int) * (sp+1)); Memset (g,0x3f,sizeof(int) * (sp+1)); f[1]=g[1]=0;  for(intI=1; i<=l1;++i) {        intx=S1[i];  for(intj=1; j<=sp;++j) {mins (G[snx[j][x]],f[j]+1); } memcpy (F,g,sizeof(int) * (sp+1)); } printf ("%d\n", f[0]==inf?-1: f[0]); return 0;}

bzoj4032: [HEOI2015] shortest not common substring

Contact Us

The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion; products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the content of the page makes you feel confusing, please write us an email, we will handle the problem within 5 days after receiving your email.

If you find any instances of plagiarism from the community, please send an email to: info-contact@alibabacloud.com and provide relevant evidence. A staff member will contact you within 5 working days.

A Free Trial That Lets You Build Big!

Start building with 50+ products and up to 12 months usage for Elastic Compute Service

  • Sales Support

    1 on 1 presale consultation

  • After-Sales Support

    24/7 Technical Support 6 Free Tickets per Quarter Faster Response

  • Alibaba Cloud offers highly flexible support services tailored to meet your exact needs.