1335. Minimum Difficulty of a Job Schedule

https://leetcode.com/problems/minimum-difficulty-of-a-job-schedule

Description

You want to schedule a list of jobs in d days. Jobs are dependent (i.e To work on the i-th 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 in that day.

Given an array of integers jobDifficulty and an integer d. The difficulty of the i-th 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.

Example 4:

**Input:** jobDifficulty = [7,1,7,1,7,1], d = 3
**Output:** 15

Example 5:

**Input:** jobDifficulty = [11,111,22,222,33,333,44,444], d = 6
**Output:** 843

Constraints:

• 1 <= jobDifficulty.length <= 300

• 0 <= jobDifficulty[i] <= 1000

• 1 <= d <= 10

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