2071 - Maximum Number of Tasks You Can Assign\.

Hard

You have n tasks and m workers. Each task has a strength requirement stored in a 0-indexed integer array tasks, with the <code>i^th</code> task requiring tasks[i] strength to complete. The strength of each worker is stored in a 0-indexed integer array workers, with the <code>j^th</code> worker having workers[j] strength. Each worker can only be assigned to a single task and must have a strength greater than or equal to the task's strength requirement (i.e., workers[j] >= tasks[i]).

Additionally, you have pills magical pills that will increase a worker's strength by strength. You can decide which workers receive the magical pills, however, you may only give each worker at most one magical pill.

Given the 0-indexed integer arrays tasks and workers and the integers pills and strength, return the maximum number of tasks that can be completed.

Example 1:

Input: tasks = **3** , **2** , **1** , workers = **0** , **3** , **3** , pills = 1, strength = 1

Output: 3

Explanation:

We can assign the magical pill and tasks as follows:

• Give the magical pill to worker 0.

• Assign worker 0 to task 2 (0 + 1 >= 1)

• Assign worker 1 to task 1 (3 >= 2)

• Assign worker 2 to task 0 (3 >= 3)

Example 2:

Input: tasks = **5** ,4, workers = **0** ,0,0, pills = 1, strength = 5

Output: 1

Explanation:

We can assign the magical pill and tasks as follows:

• Give the magical pill to worker 0.

• Assign worker 0 to task 0 (0 + 5 >= 5)

Example 3:

Input: tasks = **10** , **15** ,30, workers = **0** , **10** ,10,10,10, pills = 3, strength = 10

Output: 2

Explanation:

We can assign the magical pills and tasks as follows:

• Give the magical pill to worker 0 and worker 1.

• Assign worker 0 to task 0 (0 + 10 >= 10)

• Assign worker 1 to task 1 (10 + 10 >= 15)

The last pill is not given because it will not make any worker strong enough for the last task.

Constraints:

• n == tasks.length

• m == workers.length

• <code>1 <= n, m <= 5 * 10⁴</code>

• 0 <= pills <= m

• <code>0 <= tasksi, workersj, strength <= 10⁹</code>