UVA 455 - Periodic Strings

/******************************************************************
***   Problem       :                                           ***
***   Author        : Shipu Ahamed (Psycho Timekiller)          ***
***   E-mail        : [email protected]                   ***
***   University    : BUBT,Dept. of CSE                         ***
***   Team          : BUBT_Psycho                               ***
***   My Blog       : http://shipuahamed.blogspot.com           ***
***   Facebook      : http://www.facebook.com/DeesheharaShipu   ***
******************************************************************/

#include 
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using namespace std;

#define pi 2*acos(0.0)
#define all(v) v.begin(),v.end()

#define CP(a) cout< vi;
typedef  vector vll;
typedef  vector vs;
typedef  set si;
typedef  set ss;
typedef  map mii;
typedef  map mll;
typedef  map msi;
typedef  map mci;

template string toString( T Number ){stringstream st;st << Number;return st.str();}
template  T SOD(T n) {__typeof(n) sum=0;for(__typeof(n) i=1;i*i<=n;i++)sum+=(n%i)?0:((i*i==n)?i:i+n/i);return sum;}

//For Define
#define forab(i,a,b) for(__typeof(b) i=(a);i<=(b);i++)
#define for0(i,n) forab(i,0,(n)-1)
#define for1(i,n) forab(i,1,n)
#define rforab(i,b,a) for(__typeof(b) i=(b);i>=(a);i--)
#define rfor0(i,n) rforab(i,(n)-1,0)
#define rfor1(i,n) rforab(i,n,1)
#define forstl(i,s) for(__typeof((s).end()) i=(s).begin(); i != (s).end(); i++)

//File input/output
#define input freopen("in.txt","r",stdin)
#define output freopen("out.txt","w",stdout)

//upper bound and lower bound
#define LB(a,value) (lower_bound(all(a),value)-a.begin())
#define UB(a,value) (upper_bound(all(a),value)-a.begin())

//Test Case & New line
#define Case(no) cout<<"Case "<<++no<<": "
#define nl puts("")

int stringconvert(string s){int p; istringstream st(s); st>>p ; return p;}

ll pow(ll a,ll b, ll m) { ll res = 1; while(b) { if(b & 1) { res = ( (res % m) * (a % m) ) %m ; } a= ((a%m) * (a%m)) %m; b >>= 1; } return res; }
ll modInverse(ll a, ll m){return pow(a,m-2,m);}

////============ CONSTANT ===============////
#define mx7   10000007
#define mx6   1000006
#define mx5   100005
#define inf   1<<30                                           //infinity value
#define eps   1e-9
#define mx    (100010)
#define mod   1000000007
////=====================================////

string p;

int pre[mx6],m;

void prefix()
{
    int q=0;
    pre[1]=0;
    forab(i,2,m)
    {
        while(q>0 && p[q+1]!=p[i])
        {
            q=pre[q];
        }
        if(p[q+1]==p[i])
            q++;
        pre[i]=q;
    }
}

int main()
{
    ios_base::sync_with_stdio(0);cin.tie();

    int t,no=0;
    cin>>t;
    while(t--)
    {
        cin>>p;
        m=sz(p);

        p=" "+p;
        prefix();

        int res=m-pre[m];
        if(m%res==0)
        {
            CP(res);
        }
        else
        {
            CP(m);
        }
        if(t) cout<<"\n";
    }
    return 0;
}