# Maximum Gap LeetCode Programming Solutions | LeetCode Problem Solutions in C++, Java, & Python [💯Correct]

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Hello Programmers/Coders, Today we are going to share solutions to the Programming problems of LeetCode Solutions in C++, Java, & Python. At Each Problem with Successful submission with all Test Cases Passed, you will get a score or marks and LeetCode Coins. And after solving maximum problems, you will be getting stars. This will highlight your profile to the recruiters.

In this post, you will find the solution for the Maximum Gap in C++, Java & Python-LeetCode problem. We are providing the correct and tested solutions to coding problems present on LeetCode. If you are not able to solve any problem, then you can take help from our Blog/website.

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LeetCode is one of the most well-known online judge platforms to help you enhance your skills, expand your knowledge and prepare for technical interviews.

LeetCode is for software engineers who are looking to practice technical questions and advance their skills. Mastering the questions in each level on LeetCode is a good way to prepare for technical interviews and keep your skills sharp. They also have a repository of solutions with the reasoning behind each step.

LeetCode has over 1,900 questions for you to practice, covering many different programming concepts. Every coding problem has a classification of either EasyMedium, or Hard.

LeetCode problems focus on algorithms and data structures. Here is some topic you can find problems on LeetCode:

• Mathematics/Basic Logical Based Questions
• Arrays
• Strings
• Hash Table
• Dynamic Programming
• Stack & Queue
• Trees & Graphs
• Greedy Algorithms
• Depth-First Search
• Sorting & Searching
• BST (Binary Search Tree)
• Database
• Recursion, etc.

Leetcode has a huge number of test cases and questions from interviews too like Google, Amazon, Microsoft, Facebook, Adobe, Oracle, Linkedin, Goldman Sachs, etc. LeetCode helps you in getting a job in Top MNCs. To crack FAANG Companies, LeetCode problems can help you in building your logic.

Link for the ProblemMaximum Gap– LeetCode Problem

`Maximum Gap– LeetCode Problem`

### Problem:

Given an integer array `nums`, return the maximum difference between two successive elements in its sorted form. If the array contains less than two elements, return `0`.

You must write an algorithm that runs in linear time and uses linear extra space.

Example 1:

```Input: nums = [3,6,9,1]
Output: 3
Explanation: The sorted form of the array is [1,3,6,9], either (3,6) or (6,9) has the maximum difference 3.
```

Example 2:

```Input: nums = 
Output: 0
Explanation: The array contains less than 2 elements, therefore return 0.
```

Constraints:

• `1 <= nums.length <= 105`
• `0 <= nums[i] <= 109`
`Maximum Gap– LeetCode Solutions`
`Maximum Gap Solution in C++:`
```struct Bucket {
int min;
int max;
};

class Solution {
public:
int maximumGap(vector<int>& nums) {
if (nums.size() < 2)
return 0;

const int mini = *min_element(begin(nums), end(nums));
const int maxi = *max_element(begin(nums), end(nums));
if (mini == maxi)
return 0;

const int gap = ceil((maxi - mini) / (double)(nums.size() - 1));
const int bucketSize = (maxi - mini) / gap + 1;
vector<Bucket> buckets(bucketSize, {INT_MAX, INT_MIN});

for (const int num : nums) {
const int i = (num - mini) / gap;
buckets[i].min = min(buckets[i].min, num);
buckets[i].max = max(buckets[i].max, num);
}

int ans = 0;
int prevMax = mini;

for (const Bucket& bucket : buckets) {
if (bucket.min == INT_MAX)
continue;  // empty bucket
ans = max(ans, bucket.min - prevMax);
prevMax = bucket.max;
}

return ans;
}
};
```
`Maximum Gap Solution in Java:`
```class Bucket {
public int min;
public int max;

public Bucket(int min, int max) {
this.min = min;
this.max = max;
}
}

class Solution {
public int maximumGap(int[] nums) {
if (nums.length < 2)
return 0;

final int min = Arrays.stream(nums).min().getAsInt();
final int max = Arrays.stream(nums).max().getAsInt();
if (min == max)
return 0;

final int gap = (int) Math.ceil((double) (max - min) / (nums.length - 1));
final int bucketsLength = (max - min) / gap + 1;
Bucket[] buckets = new Bucket[bucketsLength];

for (int i = 0; i < buckets.length; ++i)
buckets[i] = new Bucket(Integer.MAX_VALUE, Integer.MIN_VALUE);

for (final int num : nums) {
final int i = (num - min) / gap;
buckets[i].min = Math.min(buckets[i].min, num);
buckets[i].max = Math.max(buckets[i].max, num);
}

int ans = 0;
int prevMax = min;

for (final Bucket bucket : buckets) {
if (bucket.min == Integer.MAX_VALUE) // empty bucket
continue;
ans = Math.max(ans, bucket.min - prevMax);
prevMax = bucket.max;
}

return ans;
}
}
```
`Maximum Gap Solution in Python:`
```class Bucket:
def __init__(self, mini: int, maxi: int):
self.mini = mini
self.maxi = maxi

class Solution:
def maximumGap(self, nums: List[int]) -> int:
if len(nums) < 2:
return 0

mini = min(nums)
maxi = max(nums)
if mini == maxi:
return 0

gap = ceil((maxi - mini) / (len(nums) - 1))
bucketSize = (maxi - mini) // gap + 1
buckets = [Bucket(inf, -inf) for _ in range(bucketSize)]

for num in nums:
i = (num - mini) // gap
buckets[i].mini = min(buckets[i].mini, num)
buckets[i].maxi = max(buckets[i].maxi, num)

ans = 0
prevMax = mini

for bucket in buckets:
if bucket.mini == inf:
continue  # empty bucket
ans = max(ans, bucket.mini - prevMax)
prevMax = bucket.maxi

return ans
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