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2145. Count the Hidden Sequences
- Given an array of differences between consecutive integers in a hidden sequence, along with lower and upper bounds, determine the count of possible hidden sequences.
- The hidden sequence is found by computing prefix sums from a starting value and ensuring all elements are within the specified bounds.
- The maximum and minimum bounds for the initial value are determined iteratively, with the valid range being the intersection of all intervals.
- If there is an overlap between the computed maximum lower bound and minimum upper bound, the count of valid initial values is the length of the overlapping interval plus one.
- If no valid sequences are possible, the output is 0.
- This solution provides an efficient way to calculate valid initial values for the hidden sequence, suitable for large input sizes.
- The implementation in PHP provides examples of using the solution function and showcases the approach's effectiveness.
- The approach involves prefix sum calculation, bounds tracking, and checking for a valid initial value range, ensuring efficient computation.
- The article also includes contact links for further engagement and support for the provided content.
- For more content, the readers are encouraged to follow the author on platforms like LinkedIn and GitHub.
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