LeetCode in Kotlin

1335. Minimum Difficulty of a Job Schedule

Hard

You want to schedule a list of jobs in d days. Jobs are dependent (i.e To work on the ith job, you have to finish all the jobs j where 0 <= j < i).

You have to finish at least one task every day. The difficulty of a job schedule is the sum of difficulties of each day of the d days. The difficulty of a day is the maximum difficulty of a job done on that day.

You are given an integer array jobDifficulty and an integer d. The difficulty of the ith job is jobDifficulty[i].

Return the minimum difficulty of a job schedule. If you cannot find a schedule for the jobs return -1.

Example 1:

Input: jobDifficulty = [6,5,4,3,2,1], d = 2

Output: 7

Explanation: First day you can finish the first 5 jobs, total difficulty = 6.

Second day you can finish the last job, total difficulty = 1.

The difficulty of the schedule = 6 + 1 = 7

Example 2:

Input: jobDifficulty = [9,9,9], d = 4

Output: -1

Explanation: If you finish a job per day you will still have a free day. you cannot find a schedule for the given jobs.

Example 3:

Input: jobDifficulty = [1,1,1], d = 3

Output: 3

Explanation: The schedule is one job per day. total difficulty will be 3.

Constraints:

Solution

class Solution {
    fun minDifficulty(jobDifficulty: IntArray, d: Int): Int {
        val totalJobs = jobDifficulty.size
        if (totalJobs < d) {
            return -1
        }
        val maxJobsOneDay = totalJobs - d + 1
        val map = IntArray(totalJobs)
        var maxDiff = Int.MIN_VALUE
        for (k in totalJobs - 1 downTo totalJobs - 1 - maxJobsOneDay + 1) {
            maxDiff = Math.max(maxDiff, jobDifficulty[k])
            map[k] = maxDiff
        }
        for (day in d - 1 downTo 1) {
            val maxEndIndex = totalJobs - 1 - (d - day)
            val maxStartIndex = maxEndIndex - maxJobsOneDay + 1
            for (startIndex in maxStartIndex..maxEndIndex) {
                map[startIndex] = Int.MAX_VALUE
                var maxDiffOfTheDay = Int.MIN_VALUE
                for (endIndex in startIndex..maxEndIndex) {
                    maxDiffOfTheDay = Math.max(maxDiffOfTheDay, jobDifficulty[endIndex])
                    val totalDiff = maxDiffOfTheDay + map[endIndex + 1]
                    map[startIndex] = Math.min(map[startIndex], totalDiff)
                }
            }
        }
        return map[0]
    }
}