Painter's Partition Problem Statement
Given an array/list representing boards, where each element denotes the length of a board, and a number ‘K’ of available painters, determine the minimum time required to paint all boards. Each unit length of the board requires 1 unit of time. A painter can only paint continuous sections of boards.
Example:
Input:
ARR = {2, 1, 5, 6, 2, 3}
K = 3
Output:
7
Explanation:
Painters can paint the boards in such a way that minimizes the maximum time any painter spends painting: one potential distribution is {2, 1, 5}, {6}, {2, 3}, where the maximum time is 7.
Constraints:
- 1 <= T <= 5
- 1 <= N <= 104
- 1 <= K <= N
- 1 <= ARR[i] <= 105
Where:
T
is the number of test cases.N
is the length of the given array/list (boards).K
is the number of painters available.ARR[i]
denotes the i-th element in the array/list.
Time Limit: 1 sec.
Note:
You do not need to print anything; it is already managed. Just implement the function and return the answer.
Determine the minimum time required to paint all boards with given constraints.
Use binary search to find the minimum and maximum possible time to paint all boards.
Iterate through the boards and assign...read more
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