How to Solve Minimum Number of Seconds to Make Mountain Height Zero Problem
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Minimum Number of Seconds to Make Mountain Height Zero
You are given an integer mountainHeight denoting the height of a mountain. You are also given an integer array workerTimes representing the work time of workers in seconds. The workers work simultaneo...
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Understanding the Minimum Number of Seconds to Make Mountain Height Zero Problem
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Problem Statement
You are given an integer mountainHeight denoting the height of a mountain. You are also given an integer array workerTimes representing the work time of workers in seconds. The workers work simultaneously to reduce the height of the mountain. For worker i: To decrease the mountain's height by x, it takes workerTimes[i] + workerTimes[i] * 2 + ... + workerTimes[i] * x seconds. For example: To reduce the height of the mountain by 1, it takes workerTimes[i] seconds. To reduce the height of the mountain by 2, it takes workerTimes[i] + workerTimes[i] * 2 seconds, and so on. Return an integer representing the minimum number of seconds required for the workers to make the height of the mountain 0.
Minimum Number of Seconds to Make Mountain Height Zero
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Examples
mountainHeight = 4, workerTimes = [2,1,1]3One way the height of the mountain can be reduced to 0 is: Worker 0 reduces the height by 1, taking workerTimes[0] = 2 seconds. Worker 1 reduces the height by 2, taking workerTimes[1] + workerTimes[1] * 2 = 3 seconds. Worker 2 reduces the height by 1, taking workerTimes[2] = 1 second. Since they work simultaneously, the minimum time needed is max(2, 3, 1) = 3 seconds.
mountainHeight = 10, workerTimes = [3,2,2,4]12Worker 0 reduces the height by 2, taking workerTimes[0] + workerTimes[0] * 2 = 9 seconds. Worker 1 reduces the height by 3, taking workerTimes[1] + workerTimes[1] * 2 + workerTimes[1] * 3 = 12 seconds. Worker 2 reduces the height by 3, taking workerTimes[2] + workerTimes[2] * 2 + workerTimes[2] * 3 = 12 seconds. Worker 3 reduces the height by 2, taking workerTimes[3] + workerTimes[3] * 2 = 12 seconds. The number of seconds needed is max(9, 12, 12, 12) = 12 seconds.
mountainHeight = 5, workerTimes = [1]15There is only one worker in this example, so the answer is workerTimes[0] + workerTimes[0] * 2 + workerTimes[0] * 3 + workerTimes[0] * 4 + workerTimes[0] * 5 = 15.
Constraints
1 <= mountainHeight <= 1051 <= wHow Interview Coder Helps with Leetcode Problems
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