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Describe and analyze an algorithm to find the length of the longest substring that appears both forward and backward in an input string T[1 . n]. The forward and backward substrings must not overlap. Here are several examples:
• Given the input string ALGORITHM, your algorithm should return 0.• Given the input string RECURSION, your algorithm should return 1, for the substring R.• Given the input string REDIVIDE, your algorithm should return 3, for the substring EDI.(The forward and backward substrings must not overlap)• Given the input string DYNAMICPROGRAMMINGMANYTIMES, your algorithm should return 4, for the substring YNAM
The algorithm should run in O(n2) time.
Consider a simple symmetric encryption algorithm as follows:Is it a problem if the first block of input happens to be the same as the key? Explain why?
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If Encrypt-It-Rite would like to increase average cracking time to at least 100 years, determine the minimal length of the key?
Write the algorithm, by using pseudo code, to do the following task. Given string of numbers, identify all the substrings which form numbers that are divisible by 3.
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Using dynamic programming, write an algorithm to find the maximum sum of contiguous sublist of a given list of n real values.
Suppose you need to sort a relation of 40 gigabytes, with 4 kilobyte blocks, using a memory size of 40 megabytes. Find the cost of sorting the relation, in seconds, with bb = 1 and with bb = 100.
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