How to Solve Number of Ways to Divide a Long Corridor Problem
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Number of Ways to Divide a Long Corridor
Along a long library corridor, there is a line of seats and decorative plants. You are given a 0-indexed string corridor of length n consisting of letters 'S' and 'P' where each 'S' represents a seat ...
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Understanding the Number of Ways to Divide a Long Corridor Problem
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Problem Statement
Along a long library corridor, there is a line of seats and decorative plants. You are given a 0-indexed string corridor of length n consisting of letters 'S' and 'P' where each 'S' represents a seat and each 'P' represents a plant. One room divider has already been installed to the left of index 0, and another to the right of index n - 1. Additional room dividers can be installed. For each position between indices i - 1 and i (1 <= i <= n - 1), at most one divider can be installed. Divide the corridor into non-overlapping sections, where each section has exactly two seats with any number of plants. There may be multiple ways to perform the division. Two ways are different if there is a position with a room divider installed in the first way but not in the second way. Return the number of ways to divide the corridor. Since the answer may be very large, return it modulo 109 + 7. If there is no way, return 0.
Number of Ways to Divide a Long Corridor
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Examples
corridor = "SSPPSPS"3There are 3 different ways to divide the corridor. The black bars in the above image indicate the two room dividers already installed. Note that in each of the ways, each section has exactly two seats.
corridor = "PPSPSP"1There is only 1 way to divide the corridor, by not installing any additional dividers. Installing any would create some section that does not have exactly two seats.
corridor = "S"0There is no way to divide the corridor because there will always be a section that does not have exactly two seats.
Constraints
n == corridor.length1 <= n <= 105corridor[i] is either 'S' or 'P'.How Interview Coder Helps with Leetcode Problems
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