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Search Pattern (Z-algorithm)
Medium Accuracy: 69.99% Submissions: 4268 Points: 4

Given two strings, one is a text string and other is a pattern string. The task is to print the indexes of all the occurences of pattern string in the text string. For printing, Starting Index of a string should be taken as 1.

Example 1:

S = "batmanandrobinarebat", pat = "bat"
Output: 1 18
Explanation: The string "bat" occurs twice
in S, one starts are index 1 and the other
at index 18. 

​Example 2:

S = "abesdu", pat = "edu"
Output: -1
Explanation: There's not substring "edu"
present in S.

Your Task:
You don't need to read input or print anything. Your task is to complete the function search() which takes the string S and the string pat as inputs and returns an array denoting the start indices (1-based) of substring pat in the string S. 
Note: You don't need to return -1 yourself when there are no possible answers, just return an empty list.

Expected Time Complexity: O(|S|).
Expected Auxiliary Space: O(|S|).

1 ≤ |S| ≤ 105
1 ≤ |pat| ≤ |S|

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Search Pattern (Z-algorithm)

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