Thursday, October 19, 2017

Print Longest Common Substring

/* You are given two string. Find the Largest
Common Substring (not Subsequence).
First, insert all the suffix (suffix of "suffix" are "x",
"ix"......"suffix") of the first string in the "Trie",
then check with the all the second-string-suffix's.
*/

#include<bits/stdc++.h>
using namespace std;

int cnt=1, ans=0, st=0;
string s, ss;

struct node{
    int next[26+1];
}ar[10000];

void new_trie(int cur){
    for(int i=0; i<=26; i++)
        ar[cur].next[i]=-1;
}

void insert(){  // Inserting the first string
    int sz=s.size(), cur=0, x;
    for(int i=0; i<sz; i++){
        x=s[i]-'a';
        if(ar[cur].next[x]==-1){
            ar[cur].next[x]=cnt;
            new_trie(cnt++);
        }
        cur=ar[cur].next[x];
    }
}

void find(int stt){  // Checking with the second string
    int sz=s.size(), cur=0, x, c=0;
    for(int i=0; i<sz; i++){
        x=s[i]-'a';
        if(ar[cur].next[x]==-1)
            break;
        cur=ar[cur].next[x];
        c++;
    }
    if(c>ans){  // when larger counter(c) is found
        st=stt;
        ans=c;
    }
}

int main(){
    int sz;
    new_trie(0);
    cin>>ss;   // First String
    sz=ss.size();
    for(int i=1; i<=sz; i++){
        s="";
        for(int ii=sz-i; ii<sz; ii++)
            s+=ss[ii];
        insert();
    }

    cin>>ss;  // Second String
    sz=ss.size();
    for(int i=1; i<=sz; i++){
        s="";
        for(int ii=sz-i; ii<sz; ii++)
            s=s+ss[ii];
        find(sz-i);
    }
    for(int i=st, cc=1; cc<=ans; i++, cc++)
        cout<<ss[i];
    return 0;
}

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