You just got a new job where you have to work exactly as many hours as you are told each week, working no more than a daily maximum number of hours per day. Some of the days, they tell you how many hours you will work. You get to choose the remainder of your schedule, within the limits.
A completed schedule consists of exactly 7 digits in the range 0 to 8 representing each day's hours to be worked. You will get a pattern string similar to the schedule, but with some of the digits replaced by a question mark, ?, (ascii 63 decimal). Given a maximum number of hours you can work in a day, replace the question marks with digits so that the sum of the scheduled hours is exactly the hours you must work in a week. Return a string array with all possible schedules you can create, ordered lexicographically.
For example, your partial schedule, pattern = 08??840, your required hours, work_hours = 24, and you can only work, at most, day_hours = 4 hours per day during the two days in question. You have two days on which you must work 24 - 20 = 4 more hours for the week. All of your possible schedules are listed below:
0804840
0813840
0822840
0831840
0840840
Function Description
Complete the function findSchedules in the editor below. The function must return an array of strings that represents all possible valid schedules. The strings must be ordered lexicographically.
findSchedules has the following parameter(s):
work_hours: an integer that represents the hours you must work in the week
day_hours: an integer that represents the maximum hours you may work in a day
pattern: a string that represents the partially completed schedule
Constraints
1 ≤ work_hours ≤ 56
1 ≤ day_hours ≤ 8
| pattern | = 7
Each character of pattern ∈ {0, 1,...,8}
There is at least one correct schedule.
Input Format For Custom Testing
The first line contains an integer, work_hours The second line contains an integer, day_hours The third line contains a string, pattern
Sample Case 0
Sample Input 0
56
8
???8???
Sample Output 0
8888888
Explanation 0
work_hours = 56
day_hours = 8
pattern = ???8???
There is only one way to work 56 hours in 7 days of 8 hours.
Sample Case 1
Sample Input 1
3
2
??2??00
Sample Output 1
0020100
0021000
0120000
1020000
Explanation 1
work_hours = 3
day_hours = 2
pattern = ??2??00
You only need to schedule 1 more hour for the week, and it can be on any one of the days in question.
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