# LeetCode 1710. Maximum Units on a Truck

## Description

https://leetcode.com/problems/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]`:

• `numberOfBoxesi` is the number of boxes of type `i`.
• `numberOfUnitsPerBoxi`is the number of units in each box of the 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.

Example 1:

```Input: boxTypes = [[1,3],[2,2],[3,1]], truckSize = 4
Output: 8
Explanation: There are:
- 1 box of the first type that contains 3 units.
- 2 boxes of the second type that contain 2 units each.
- 3 boxes of the third type that contain 1 unit each.
You can take all the boxes of the first and second types, and one box of the third type.
The total number of units will be = (1 * 3) + (2 * 2) + (1 * 1) = 8.
```

Example 2:

```Input: boxTypes = [[5,10],[2,5],[4,7],[3,9]], truckSize = 10
Output: 91
```

Constraints:

• `1 <= boxTypes.length <= 1000`
• `1 <= numberOfBoxesi, numberOfUnitsPerBoxi <= 1000`
• `1 <= truckSize <= 106`

## Explanation

Sort boxTypes by their unit number in descending order. Then load the boxTypes with the higher unit number first.

## Python Solution

``````class Solution:
def maximumUnits(self, boxTypes: List[List[int]], truckSize: int) -> int:

boxTypes = sorted(boxTypes, key=lambda b:-b)

result = 0

box_count = 0
is_full = False

for box_type in boxTypes:
if is_full:
break

for i in range(box_type):
if is_full:
break
else:
result += box_type
box_count += 1

if box_count == truckSize:
is_full = True

return result``````
• Time Complexity: O(Nlog(N)).
• Space Complexity: O(N).
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