Longest Non-Overlapping Prefix Suffix

Longest Non-Overlapping Prefix Suffix: The program must accept a string S as the input. Then the program must print the the longest prefix in the string S which is also a suffix. The prefix and the suffix must not overlap. If there is no such prefix, then the program must print -1 as the output.

Boundary Condition(s):
1 <= Length of S <= 10^8

Note: Optimize your algorithm to avoid Timeout.

Input Format:
The first line contains the value of S.

Output Format:
The first line contains the string representing the longest prefix which is also a suffix.

Example Input/Output 1:
Input:
abcefgabc

Output:
abc

Explanation:
Here abc is the longest prefix which is also present as a suffix.

Example Input/Output 2:
Input:
skillrack

Output:
-1

Example Input/Output 3:
Input:
tutortutor

Output:
tutor

def LengthlongestPrefixSuffix(s):
n = len(s)
lps = [0 for i in range(n)]
len1 = 0
i = 1
while (i < n):
if (s[i] == s[len1]):
len1 += 1
lps[i] = len1
i += 1
else:
if (len1 != 0):
len1 = lps[len1 - 1]
else:
lps[i] = 0
i += 1
res = lps[n - 1]
if (res > int(n / 2)):
return int(n / 2)
else:
return res
def longestPrefixSuffix(s):
len1 = LengthlongestPrefixSuffix(s)
prefix = ""
for i in range(len1):
prefix += s[i]
return prefix
s =input().strip()
ans = longestPrefixSuffix(s)
if (ans == ""):
print("-1")
else:
print(ans)