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Resource Allocation Maximization Solution

Problem Statement

You are given a total of 927 units of resources and 13 sectors with varying resource requirements. Determine the maximum number of sectors that can be allocated resources without exceeding the available resources.

Example 1

Input

{"sectors":[10,20,30,40,50,60,70,80,90,100,110,120,130],"totalResources":927}

Output

Explanation: To find the maximum number of sectors, sort the sectors by resource requirements and allocate resources from the smallest to the largest until the total resources are exceeded. Sorting the sectors gives [10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130]. Allocating resources from smallest to largest: 10 + 20 + 30 + 40 + 50 + 60 + 70 + 80 = 410. Adding the next sector 90: 410 + 90 = 500. Adding the next sector 100: 500 + 100 = 600. Adding the next sector 110: 600 + 110 = 710. Adding the next sector 120: 710 + 120 = 830. Adding the next sector 130 exceeds the total resources. Thus, 8 sectors can be allocated resources without exceeding the available resources.

Constraints

{"name":"Sector Count","description":"1 ≤ number of sectors ≤ 1000"}
{"name":"Resource Requirements","description":"1 ≤ resource requirement per sector ≤ 1000"}
{"name":"Total Resources","description":"1 ≤ total resources ≤ 1000000"}

Resource Allocation Maximization Solution

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