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LPS.cpp
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LPS.cpp
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#include<bits/stdc++.h>
#define pf printf
#define sc scanf
#define PI 2*acos(0.0)
#define fast ios_base::sync_with_stdio(false);cin.tie(0); cout.tie(0)
#define mem(a,b) memset(a, b, sizeof(a) )
#define gcd(a,b) __gcd(a,b)
#define lcm(a,b) (a*(b/gcd(a,b)))
#define MAX 1234567899
#define mod 1000000007
#define all(v) (v).begin(),(v).end()
#define vSort(v) sort(all(v))
#define maxSort(v) sort(all(v),greater<int>())
#define Unique(v) v.erase(unique(all(v)),v.end())
#define sqr(x) ((x)*(x))
#define qube(x) ((x)*(x)*(x))
#define deci(n) cout<<fixed<<setprecision(n)
#define sci(n) sc("%d",&(n))
#define scii(x,y) sc("%d %d",&(x),&(y))
#define scl(x) sc("%lld",&(x))
#define scll(x,y) sc("%lld %lld",&(x),&(y))
#define vi vector<int>
#define hi pf(" HI \n")
#define pp pair<int,int>
#define pb(x) push_back(x)
#define mp(x,y) make_pair(x,y)
#define F first
#define S second
#define check(n,pos) (n & (1<<(pos)))
#define biton(n,pos) (n (1<<(pos)))
#define bitoff(n,pos) (n & ~(1<<(pos)))
typedef long long int lli;
typedef unsigned long long int ulli;
int dx4[] = { 0, 0, -1, 1 } ;
int dy4[] = { -1, 1, 0, 0 } ;
bool valid( int r, int c, int x, int y )
{
if( x >= 1 && x <= r && y >= 1 && y <= c ) return 1 ;
return 0 ;
}
using namespace std;
int a[2001][2001];
vector<char>v;
string s,s1;
int m,n;
int lcs(string s,int n)
{
for(int i=0; i<n; i++)
a[i][i]=1;
int j=0;
for(int k=1; k<n; k++)
{
for(int i=0; i<n-k; i++)
{
j=i+k;
if(s[i]==s[j] && k==1)
a[i][j]=2;
else if(s[i]==s[j] )
a[i][j]=2+a[i+1][j-1];
else
a[i][j]=max(a[i][j-1],a[i+1][j]);
}
}
return a[0][n-1];
}
void print_lcs(int index)
{
int i=0,j=index-1;
while(i<=j)
{
if(s[i]==s[j])
{
v.pb(s[i]);
i++;
j--;
}
else if(a[i+1][j]>a[i][j-1])
i++;
else
j--;
}
if(v.size()%2==1)
{
for(int i=0 ; i<v.size(); i++)
cout << v[i];
for(int i=v.size()-2; i>=0; i--)
cout << v[i];
cout <<endl;
}
else
{
for(int i=0 ; i<v.size(); i++)
cout << v[i];
for(int i=v.size()-1; i>=0; i--)
cout << v[i];
cout <<endl;
}
}
int main ()
{
cin >> s;
n=s.length();
int ans=lcs(s,n);
print_lcs(n);
cout <<ans <<endl;
return 0;
}