LeetCode 2323: Find Minimum Time to Finish All Jobs II Solution
Master LeetCode problem 2323 (Find Minimum Time to Finish All Jobs II), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.
Problem Explanation
Explanation
To solve this problem, we can use dynamic programming with state compression. We will create a 2D dp array where dp[i][mask] represents the minimum total time to finish all jobs up to the i-th job with the assigned workers represented by the bitmask mask.
For each job, we iterate through all possible worker assignments (represented by the bitmask) and calculate the minimum total time based on the previous state. We update the dp array accordingly.
Finally, we return the minimum total time to finish all jobs with all workers assigned.
Time Complexity
The time complexity of this solution is O(n * 2^k), where n is the number of jobs and k is the number of workers.
Space Complexity
The space complexity of this solution is O(n * 2^k).
Solution Code
class Solution {
public int minTime(int[] jobs, int k) {
int n = jobs.length;
int[][] dp = new int[n + 1][1 << k];
for (int i = 0; i <= n; i++) {
Arrays.fill(dp[i], Integer.MAX_VALUE / 2);
}
dp[0][0] = 0;
for (int i = 1; i <= n; i++) {
for (int mask = 0; mask < (1 << k); mask++) {
for (int sub = mask; sub > 0; sub = (sub - 1) & mask) {
int workers = Integer.bitCount(sub);
dp[i][mask] = Math.min(dp[i][mask], Math.max(dp[i - 1][mask - sub], getSum(jobs, i - workers, i)));
}
}
}
return dp[n][(1 << k) - 1];
}
private int getSum(int[] jobs, int start, int end) {
int sum = 0;
for (int i = start; i < end; i++) {
sum += jobs[i];
}
return sum;
}
}Try It Yourself
Loading code editor...
Related LeetCode Problems
Frequently Asked Questions
How to solve LeetCode 2323 (Find Minimum Time to Finish All Jobs II)?
This page provides optimized solutions for LeetCode problem 2323 (Find Minimum Time to Finish All Jobs II) in Java, C++, and Python, along with a detailed explanation and an interactive code editor to test your code.
What is the time complexity of LeetCode 2323 (Find Minimum Time to Finish All Jobs II)?
The time complexity for LeetCode 2323 (Find Minimum Time to Finish All Jobs II) varies by solution. Check the detailed explanation section for specific complexities in Java, C++, and Python implementations.
Can I run code for LeetCode 2323 on DevExCode?
Yes, DevExCode provides an interactive code editor where you can write, test, and run your code for LeetCode 2323 in Java, C++, or Python.