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How to Solve Minimum Division Operations to Make Array Non Decreasing Problem
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LeetCode ProblemMinimum Division Operations to Make Array Non Decreasing
You are given an integer array nums. Any positive divisor of a natural number x that is strictly less than x is called a proper divisor of x. For example, 2 is a proper divisor of 4, while 6 is not a proper divisor of 6. You are allowed to perform an operation any number of times on nums, where in each operation you select any one element from nums and divide it by its greatest proper divisor. Return the minimum number of operations required to make the array non-decreasing. If it is not possible to make the array non-decreasing using any number of operations, return -1.
ArrayMathGreedyNumber Theory
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Problem Breakdown
Understanding the Minimum Division Operations to Make Array Non Decreasing Problem
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Problem Statement
You are given an integer array nums. Any positive divisor of a natural number x that is strictly less than x is called a proper divisor of x. For example, 2 is a proper divisor of 4, while 6 is not a proper divisor of 6. You are allowed to perform an operation any number of times on nums, where in each operation you select any one element from nums and divide it by its greatest proper divisor. Return the minimum number of operations required to make the array non-decreasing. If it is not possible to make the array non-decreasing using any number of operations, return -1.
MediumProblem #3326
LeetCodeMinimum Division Operations to Make Array Non Decreasing
Related Topics
ArrayMathGreedyNumber Theory
How Phantom Code Helps
Get real-time assistance for Minimum Division Operations to Make Array Non Decreasing problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
nums = [25,7]
Output
1
# Example 2
Input
nums = [7,7,6]
Output
-1
# Example 3
Input
nums = [1,1,1,1]
Output
0
Constraints
1 <= nums.length <= 105
1 <= nums[i] <= 106
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Solve Minimum Division Operations to Make Array Non Decreasing — You are given an integer array nums. Any positive divisor of a natural number x ...
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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Frequently Asked Questions
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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.
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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.
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What coding mistakes does Phantom Code help me avoid during Minimum Division Operations to Make Array Non Decreasing 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.
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How does Phantom Code help when I'm struggling with Minimum Division Operations to Make Array Non Decreasing 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.
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