How to Solve Minimum Number of Taps to Open to Water a Garden Problem
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Minimum Number of Taps to Open to Water a Garden
There is a one-dimensional garden on the x-axis. The garden starts at the point 0 and ends at the point n. (i.e., the length of the garden is n). There are n + 1 taps located at points [0, 1, ..., n] ...
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Understanding the Minimum Number of Taps to Open to Water a Garden Problem
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Problem Statement
There is a one-dimensional garden on the x-axis. The garden starts at the point 0 and ends at the point n. (i.e., the length of the garden is n). There are n + 1 taps located at points [0, 1, ..., n] in the garden. Given an integer n and an integer array ranges of length n + 1 where ranges[i] (0-indexed) means the i-th tap can water the area [i - ranges[i], i + ranges[i]] if it was open. Return the minimum number of taps that should be open to water the whole garden, If the garden cannot be watered return -1.
Minimum Number of Taps to Open to Water a Garden
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Examples
n = 5, ranges = [3,4,1,1,0,0]1The tap at point 0 can cover the interval [-3,3] The tap at point 1 can cover the interval [-3,5] The tap at point 2 can cover the interval [1,3] The tap at point 3 can cover the interval [2,4] The tap at point 4 can cover the interval [4,4] The tap at point 5 can cover the interval [5,5] Opening Only the second tap will water the whole garden [0,5]
n = 3, ranges = [0,0,0,0]-1Even if you activate all the four taps you cannot water the whole garden.
Constraints
1 <= n <= 104ranges.length == n + 10 <= ranges[i] <= 100How Interview Coder Helps with Leetcode Problems
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