Hi , I have been thinking a lot but I haven't had any good idea about this , so I want your help : We are given an integer N and N strings , how could we find the longest common substring of them and the length of longest common substring of them ?
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Build a generalized suffix array. Then for each inclusion-minimal window that contains a suffix from all the N strings, an answer candidate is the LCP of all of them. You can use two pointers and a set data structure to find all such inclusion-minimal windows. The runtime is expected linear if you use hash tables and a fast suffix array construction.