Question 1: Scheduling Optimization Problem

A scheduler manages multiple processes with priorities represented by the letters a, b, and c. Its goal is to optimize the schedule to achieve a specific sequence.

Available Operations:

1. Choose a process with priority a, b, or c.
2. Insert the chosen process into the scheduling queue at any position.

Objective:

Determine the minimum number of scheduling operations required to ensure that the scheduling queue follows the repeating pattern "abc".

Example:

• Input: s = "abb"
• Transformation: Transform the queue to abcabc by inserting two letters c and one letter a.
• Explanation: The string abcabc is the concatenation of "abc" two times.
• Result: The minimum number of scheduling operations required is 3.

Function Description:

Complete the function findMinOperations in the editor below.

Parameters:

• string s: the scheduling queue.

Returns:

• int: the minimum number of operations required to make the queue a concatenation of "abc" several times.

Constraints:

• The length of s satisfies 1 ≤ |s| ≤ 100,000.
• The string s consists only of characters 'a', 'b', and 'c'.

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Question 2: Cost Optimization in Edge Computing

In an edge computing environment, required hardware includes edge devices, input peripherals, and bundles that encompass both types. Each resource comes at a cost:

• Edge devices are priced at edgeDeviceCost.
• Input peripherals are priced at inputPeripheralCost.
• Bundles are priced at bundleCost.

Objective:

Optimize the procurement of resources to minimize costs while ensuring that the environment is equipped with all the essential resources. The flexibility allows for a combination of individual items and bundles to meet the requirements of:

• x edge devices.
• y input peripherals.

Example:

• Input:
  • edgeDeviceCost = 1
  • inputPeripheralCost = 2
  • bundleCost = 2
  • x = 2
  • y = 1
• Strategy:
  • Purchase 1 edge device and 1 bundle pack, totaling 1 + 2 = 3 units.
• Result: The minimum total expenditure is 3.

Function Description:

Complete the function getMinimumCost in the editor below.

Parameters:

• int edgeDeviceCost: the cost of an edge device.
• int inputPeripheralCost: the cost of an input peripheral.
• int bundleCost: the cost of a bundle containing both an edge device and an input peripheral.
• int x: the number of edge devices required.
• int y: the number of input peripherals required.

Returns:

• long: the minimum expenditure necessary to ensure that the edge computing environment is fully equipped.

Constraints:

• All costs and requirements satisfy 1 ≤ edgeDeviceCost, inputPeripheralCost, bundleCost, x, y ≤ 1,000,000,000.

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