Problem Brief

Get Min Operations

INTERNOA

There are n jobs that can be executed in parallel on a processor, where the execution time of the i^th job is executionTime[i]. To spped up execution, the following strategy is used.

In one operation, a job is chosen, the major job, and is executed for x seconds. All other jobs are executed for y seconds where y < x.

A job is complete when it has been executed for at least executionTime[i] seconds, the it exits the pool. Find the min num of operations in which the processor can completely execute all the jobs if run optimally.

Function Description

Complete the function citadelGetMinOperations in the editor 👉👉.

citadelGetMinOperations has the following parameters:

int executionTime[n]: the execution times for each job
int x: the time for which the major job is executed
int y: the time for which all other jobs are executed executed

Returns

int: the min number of operations in which the processor can complete the jobs

P.S. I'll hold off on uploading the source image for now since it needs too much mosaic effect to hide the sensitive information, and I'm feeling a bit lazyyy 🛵 I am 1000% sure everything matches the original source 😘 GOOOD LUCK, my Citadel friends! >~<

Key insight:

_optimization_

♫⋆｡♪ ₊˚♬ ﾟ🐳 Credit to da best, rachel and Aura Man! You both are truly amazing!!˚🦋ᝰ.ᐟ

1Example 1

Input

executionTime = [3, 4, 1, 7, 6], x = 4, y = 2

Output

Explanation

The following strategy is optimal using 1-based indexing. * Choose job 4 as the major job and reduce the execution times of job 4 by x = 4 and of other jobs by y = 2. Now executionTime = [1, 2, -1, 3, 4]. Job 3 is complete, so it is removed. 😀 * Choose job 4, executionTime = [-1, 0, -, -1, 2]. So jobs 1, 2, and 4 are now complete :) * Choose job 5, executionTime = [-, -, -, -, -2]. Job 5 is complete. 💃🕺 It takes 3 operations to execute all the jobs so the answer is 3.

2Example 2

Input

executionTime = [3, 3, 6, 3, 9], x = 3, y = 2

Output

Explanation

* Choose job 5, then executionTime = [1, 1, 4, 1, 6]. All jobs are still in the pool 🫨 * Choose job 5, then executionTime = [-1, -1, 2, -1, 3]. So jobs 1,2 and 4 are complete. 🍻 * Choose job 5, then executionTime = [-, -, 0, -, 0]. Jobs 3 and 5 are complete.😍

3Example 3

Input

executionTime = [2, 3, 5], x = 3, y = 1

Output

Explanation

* Choose job 3, then executionTime = [1, 2, 2]. All jobs are still in the pool 🤧 * Choose job 3, then executionTime = [0, 1, -1]. So jobs 1 and 3 are complete. 🥂 * Choose job 2, then executionTime = [-, -2, -]. Jobs 2 is complete.😘

Constraints

Limits and guarantees your solution can rely on.

1 <= n <= 3 * 10^5
1 <= executionTime[i] <= 10^9
1 <= y < x <= 10^9