mediumArraysPattern: Mixed
Longest Consecutive Temperature Trend Solution
Problem Statement
You are given a sequence of integers `temperatures` and a string `pattern` consisting of characters 'A' and 'D', where 'A' denotes a rise in temperature and 'D' denotes a fall in temperature. Find the length of the longest subsequence in `temperatures` that matches the given `pattern`.
Examples
Example 1:
Input:{"temperatures":[1,2,3,4,5],"pattern":"AAAA"}
Output:4
Explanation: The longest subsequence '1, 2, 3, 4, 5' matches the given pattern 'AAAA'.
Example 2:
Input:{"temperatures":[5,4,3,2,1],"pattern":"DDDD"}
Output:4
Explanation: The longest subsequence '5, 4, 3, 2, 1' matches the given pattern 'DDDDD', but pattern is 'DDDD'.
Constraints
- 1 <= length of temperatures <= 1000
- 1 <= length of pattern <= 1000
- Pattern consists only of 'A' and 'D'.
Time: O(n*m) Space: O(1)
The optimized approach involves using a single pass through the temperatures array and keeping track of the longest subsequence that matches the pattern, resulting in a time complexity of O(n). This approach uses a dynamic programming technique to efficiently find the longest matching subsequence.
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