Distinct substrings
Time Limit: 159MS |
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Memory Limit: 1572864KB |
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64bit IO Format: %lld &%llu |
Description
Given A string, we need to find the total number of its distinct substrings.
Input
T-number of test cases. t<=20;
Each test case consists of one string, whose length is <= 1000
Output
For all test case output one number saying the number of distinct substrings.
Example
Sample Input:
2
Ccccc
Ababa
Sample Output:
5
9
Explanation for the TestCase with string Ababa:
Len=1:a,b
Len=2:ab,ba
Len=3:aba,bab
Len=4:abab,baba
Len=5:ababa
Thus, total number of distinct substrings is 9.
/** Spoj-disubstr Distinct substrings * To find the number of different substrings * * The string with the length n is * * (n+1)/2 substrings, minus the same substring. * For substrings, it is definitely a suffix prefix if height[i ]==k, the suffix i-1 and suffix I have the same k substring, * so minus it, minus the height array after n-1*/#include<bits/stdc++.h>using namespacestd;Const intMAXN = ++ -;intSA[MAXN];intT1[MAXN],T2[MAXN],C[MAXN];intRANK[MAXN],HEIGHT[MAXN];voidBuild_sa (intS[],intNintm) { inti,j,p,*x=t1,*y=T2; for(i=0; i<m;i++) c[i]=0; for(i=0; i<n;i++) c[x[i]=s[i]]++; for(i=1; i<m;i++) c[i]+=c[i-1]; for(i=n-1; i>=0; i--) sa[--c[x[i]]]=i; for(j=1; j<=n;j<<=1) {p=0; for(i=n-j;i<n;i++) y[p++]=i; for(i=0; i<n;i++)if(SA[I]>=J) y[p++]=sa[i]-J; for(i=0; i<m;i++) c[i]=0; for(i=0; i<n;i++) c[x[y[i]]]++; for(i=1; i<m;i++) c[i]+=c[i-1]; for(i=n-1; i>=0; i--) sa[--c[x[y[i]]]]=Y[i]; Swap (x, y); P=1; x[sa[0]]=0; for(i=1; i<n;i++) X[sa[i]]=y[sa[i-1]]==y[sa[i]] && y[sa[i-1]+j]==y[sa[i]+j]?p-1:p + +; if(p>=n) Break; M=p; }}voidGetHeight (intS[],intN) { inti,j,k=0; for(i=0; i<=n;i++) rank[sa[i]]=i; for(i=0; i<n;i++) { if(k) k--; J=sa[rank[i]-1]; while(S[i+k]==s[j+k]) k++; Height[rank[i]]=K; }}CharSTR[MAXN];intSS[MAXN];intMain () {intT; scanf ("%d",&T); while(t--) {scanf ("%s", str); intlen=strlen (str); for(intI=0; i<len;i++) ss[i]=Str[i]; Ss[len]=0; Build_sa (Ss,len+1, -); GetHeight (Ss,len); intans=len* (len+1)/2; for(intI=2; i<=len;i++) ans-=Height[i]; printf ("%d\n", ans); } return 0;}
Spoj-disubstr Distinct substrings (number of different substrings)