mediumStringsPattern: Mixed
Intergalactic Transmission Solution
Problem Statement
In a deep space transmission, a sequence of signals is received, and a set of predefined signal patterns is provided. Determine the length of the longest sequence of signals that can be formed by overlapping the given signal patterns, where each pattern must overlap with the previous pattern by at least two characters.
Examples
Example 1:
Input:{"signal":"abcdef","patterns":["abc","bcd","cde","defg","fgh"]}
Output:6
Explanation: The longest sequence can be formed by overlapping 'abc' with 'bcd', 'bcd' with 'cde', 'cde' with 'defg', resulting in a sequence of length 6.
Example 2:
Input:{"signal":"abcdefgh","patterns":["ab","bc","cd","de","ef","fg","gh"]}
Output:8
Explanation: The longest sequence can be formed by overlapping 'ab' with 'bc', 'bc' with 'cd', 'cd' with 'de', 'de' with 'ef', 'ef' with 'fg', 'fg' with 'gh', resulting in a sequence of length 8.
Constraints
- The length of the signal sequence is between 1 and 1000 characters.
- The number of predefined signal patterns is between 1 and 100.
- The length of each signal pattern is between 2 and 100 characters.
Time: O(n * m^2) Space: O(n * m)
An optimized approach would use dynamic programming to keep track of the longest sequence formed by overlapping patterns up to each point, resulting in a time complexity of O(n * m^2).
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