Problem Link: http://lightoj.com/volume_showproblem.php?problem=1258
Solution idea :
Consider the 4th test case
P = anncbaaababaaa
Let
Q = aaababaaabcnna (reverse of P)
Now look how can we construct the shortest palindrome by adding character to the
right of P,
with the help of Q
P : anncbaaababaaa|||||
Q : |||||aaababaaabcnna
Ans:anncbaaababaaabcnna
So all we need to do is search for the longest prefix of Q in P.
You can do this by using KMP.
Solution :
#include<bits/stdc++.h>
using namespace std;
int f[1000002];
void kmp_preprocess(string pattern)
{
int m=pattern.size();
f[0]=0;
int j=0;
for(int i=1;i<m;i++)
{
if(pattern[i]==pattern[j])
{
f[i]=j+1;
j++;
}
else
{
while(j!=0)
{
j=f[j-1];
if(pattern[i]==pattern[j])
{
f[i]=j+1;
j++;
break;
}
}
}
}
}
int kmp(string text,string pattern)
{
int j=0;
int n=text.size();
int m=pattern.size();
for(int i=0;i<n;i++)
{
if(text[i]==pattern[j])
{
j++;
}
else
{
while(j!=0)
{
j=f[j-1];
if(text[i]==pattern[j])
{
j++;
break;
}
}
}
}
return j;
}
int main()
{
string text,pattern;
int n,p,q;
scanf("%d",&n);
for(int ca=1;ca<=n;ca++)
{
cin>>text;
pattern=text;
reverse(pattern.begin(),pattern.end());
memset(f,0,sizeof(f));
kmp_preprocess(pattern);
p=kmp(text,pattern);
q=pattern.size();
q=2*q - p ;
printf("Case %d: %d\n",ca,q);
}
}
Solution idea :
Consider the 4th test case
P = anncbaaababaaa
Let
Q = aaababaaabcnna (reverse of P)
Now look how can we construct the shortest palindrome by adding character to the
right of P,
with the help of Q
P : anncbaaababaaa|||||
Q : |||||aaababaaabcnna
Ans:anncbaaababaaabcnna
So all we need to do is search for the longest prefix of Q in P.
You can do this by using KMP.
Solution :
#include<bits/stdc++.h>
using namespace std;
int f[1000002];
void kmp_preprocess(string pattern)
{
int m=pattern.size();
f[0]=0;
int j=0;
for(int i=1;i<m;i++)
{
if(pattern[i]==pattern[j])
{
f[i]=j+1;
j++;
}
else
{
while(j!=0)
{
j=f[j-1];
if(pattern[i]==pattern[j])
{
f[i]=j+1;
j++;
break;
}
}
}
}
}
int kmp(string text,string pattern)
{
int j=0;
int n=text.size();
int m=pattern.size();
for(int i=0;i<n;i++)
{
if(text[i]==pattern[j])
{
j++;
}
else
{
while(j!=0)
{
j=f[j-1];
if(text[i]==pattern[j])
{
j++;
break;
}
}
}
}
return j;
}
int main()
{
string text,pattern;
int n,p,q;
scanf("%d",&n);
for(int ca=1;ca<=n;ca++)
{
cin>>text;
pattern=text;
reverse(pattern.begin(),pattern.end());
memset(f,0,sizeof(f));
kmp_preprocess(pattern);
p=kmp(text,pattern);
q=pattern.size();
q=2*q - p ;
printf("Case %d: %d\n",ca,q);
}
}
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