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HomeLeetCode ProblemsMinimum Space Wasted From Packaging
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How to Solve Minimum Space Wasted From Packaging Problem

Master the Minimum Space Wasted From Packaging LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.

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Hard#1889
LeetCode Problem

Minimum Space Wasted From Packaging

You have n packages that you are trying to place in boxes, one package in each box. There are m suppliers that each produce boxes of different sizes (with infinite supply). A package can be placed in a box if the size of the package is less than or equal to the size of the box. The package sizes are given as an integer array packages, where packages[i] is the size of the ith package. The suppliers are given as a 2D integer array boxes, where boxes[j] is an array of box sizes that the jth supplier produces. You want to choose a single supplier and use boxes from them such that the total wasted space is minimized. For each package in a box, we define the space wasted to be size of the box - size of the package. The total wasted space is the sum of the space wasted in all the boxes. Return the minimum total wasted space by choosing the box supplier optimally, or -1 if it is impossible to fit all the packages inside boxes. Since the answer may be large, return it modulo 109 + 7.

ArrayBinary SearchSortingPrefix Sum

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Problem Breakdown

Understanding the Minimum Space Wasted From Packaging Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

You have n packages that you are trying to place in boxes, one package in each box. There are m suppliers that each produce boxes of different sizes (with infinite supply). A package can be placed in a box if the size of the package is less than or equal to the size of the box. The package sizes are given as an integer array packages, where packages[i] is the size of the ith package. The suppliers are given as a 2D integer array boxes, where boxes[j] is an array of box sizes that the jth supplier produces. You want to choose a single supplier and use boxes from them such that the total wasted space is minimized. For each package in a box, we define the space wasted to be size of the box - size of the package. The total wasted space is the sum of the space wasted in all the boxes. Return the minimum total wasted space by choosing the box supplier optimally, or -1 if it is impossible to fit all the packages inside boxes. Since the answer may be large, return it modulo 109 + 7.

HardProblem #1889
LeetCode

Minimum Space Wasted From Packaging

Related Topics

ArrayBinary SearchSortingPrefix Sum

How Phantom Code Helps

Get real-time assistance for Minimum Space Wasted From Packaging problems during coding interviews. Phantom Code provides instant solutions and explanations.

Examples

# Example 1

Input
packages = [2,3,5], boxes = [[4,8],[2,8]]
Output
6

# Example 2

Input
packages = [2,3,5], boxes = [[1,4],[2,3],[3,4]]
Output
-1

# Example 3

Input
packages = [3,5,8,10,11,12], boxes = [[12],[11,9],[10,5,14]]
Output
9

Constraints

n == packages.length
m == boxes.length
1 <= n <= 105
1 <= m <= 105
1 <= packages[i] <= 105
1 <= boxes[j].length <= 105
1 <= boxes[j][k] <= 105
sum(boxes[j].length) <= 105
The elements in boxes[j] are distinct.

How Phantom Code Helps with LeetCode Problems

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Solve Minimum Space Wasted From Packaging — You have n packages that you are trying to place in boxes, one package in each b...

Here's the optimal approach using Array:

def solve(input):
# Optimal O(n) solution
return result

Time: O(n)  |  Space: O(n)

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Undetectability and technical details

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Platform compatibility and limitations

We work with Zoom, HackerRank, CodeSignal, CoderPad and other web-based platforms. Check the compatibility note and request a browser link if a specific desktop app is unsupported.

Frequently Asked Questions

Common questions about solving Minimum Space Wasted From Packaging and using Phantom Code during coding interviews.

How does Phantom Code help me solve coding problems like Minimum Space Wasted From Packaging during interviews?
Phantom Code generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.
What if the interviewer asks follow-up questions or modifications to problems like Minimum Space Wasted From Packaging?
Phantom Code adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.
Can Phantom Code help me communicate my solution for problems like Minimum Space Wasted From Packaging?
Yes. Phantom Code provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.
How does Phantom Code assist with different programming languages for Minimum Space Wasted From Packaging type problems?
Phantom Code supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
What coding mistakes does Phantom Code help me avoid during Minimum Space Wasted From Packaging interviews?
Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
Is Phantom Code detectable when solving problems like Minimum Space Wasted From Packaging during live interviews?
No. Phantom Code runs as an invisible desktop overlay that doesn't appear in screen shares, recordings, or proctoring software. It works with Zoom, HackerRank, CodeSignal, CoderPad, and all major platforms.
How does Phantom Code help when I'm struggling with Minimum Space Wasted From Packaging style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
Does Phantom Code work for the coding platforms used in Minimum Space Wasted From Packaging interviews?
Yes. Phantom Code works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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