// A C++ program to check if a string is 'n' times
// repetition of one of its substrings
#include<iostream>
#include<cstring>
using namespace std;
// Here, shows a utility function to fill lps[] or compute prefix funcrion
// used in KMP string matching algorithm.
void computeLPSArray1(char str1[], int M1, int lps1[]){
int len1 = 0; //Indicates lenght of the previous longest prefix suffix
int i;
lps1[0] = 0; //Always lps1[0] is 0
i = 1;
//Here, the loop calculates lps1[i] for i = 1 to M1-1
while (i < M1){
if (str1[i] == str1[len1]){
len1++;
lps1[i] = len1;
i++;
}
else // (pattern[i] != pattern[len1])
{
if (len1 != 0){
len1 = lps1[len1-1];
}
else { // if (len1 == 0)
lps1[i] = 0;
i++;
}
}
}
}
// now, returns true if str is repetition of one of its substrings
// else return false.
bool isRepeat(char str1[]){
// Determine length of string and create an array to
// store lps1 values used in KMP
int n1 = strlen(str1);
int lps1[n1];
// Used to preprocess the pattern (calculate lps1[] array)
computeLPSArray1(str1, n1, lps1);
// Determine length of longest suffix which is also
// prefix of str1.
int len1 = lps1[n1-1];
// It has been seen that if there exist a suffix which is also prefix AND // Length of the remaining substring divides total
// length, then str1[0..n1-len1-1] is the substring that
// repeats n1/(n1-len1) times.
return (len1 > 0 && n1%(n1-len1) == 0)? true: false;
}
// Driver program to test above function
int main(){
char txt1[][100] = {"bcdbcd", "pqrspqrs", "bcdebcd", "BCDEBCDE",
"PQRSPQR"};
int n1 = sizeof(txt1)/sizeof(txt1[0]);
for (int i=0; i<n1; i++)
isRepeat(txt1[i])? cout << "True\n" : cout << "False\n";
return 0;
}
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