LeetCode Question - 1710. Maximum Units on a Truck 🚛

LeetCode Question - 1710. Maximum Units on a Truck 🚛

About the Series

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Problem Statement

Maximum Units on a Truck 🚛

You are assigned to put some amount of boxes onto one truck. You are given a 2D array boxTypes, where boxTypes[i] = [numberOfBoxesi, numberOfUnitsPerBoxi]:

• numberOfBoxes is the number of boxes of type i.
• numberOfUnitsPerBox is the number of units in each box of type i. You are also given an integer truckSize, which is the maximum number of boxes that can be put on the truck. You can choose any boxes to put on the truck as long as the number of boxes does not exceed truckSize.

Return the maximum total number of units that can be put on the truck.

Video Explanation

Solution

Algorithm

• Sorting the array in descending order based on the no. of units in each box. 📦
• Iterate through the sorted array elements and check the remaining truckSize.
  • If not enough size for all boxes take as many boxes as you can and calculate the total units
  • Else take all the boxes and calculate the total units.
• Return the total units

Code 🧑‍💻

var maximumUnits = function (boxTypes, truckSize) {
  boxTypes.sort((a, b) => b[1] - a[1]);
 
  var maxTotal = 0;
  var i = 0;
 
  while (truckSize > 0 && i < boxTypes.length) {
    const numOfBoxes = boxTypes[i][0];
    const numOfUnits = boxTypes[i][1];
 
    if (truckSize <= numOfBoxes) {
      maxTotal += truckSize * numOfUnits;
      truckSize = 0;
    } else {
      maxTotal += numOfBoxes * numOfUnits;
      truckSize -= numOfBoxes;
    }
 
    i++;
  }
  return maxTotal;
};

Time Complexity : O(nlogn)+O(n) = O(nlogn)

Space Complexity: O(1)

Similar Questions for practice

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• Maximum Bags With Full Capacity of Rocks

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