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Home Code Solutions

Largest Divisible Subset – LeetCode Solution

Largest Divisible Subset - LeetCode Solution Java , Python 3, Python 2 , C , C++, Best and Optimal Solutions , All you need.

BhautikBhalala by BhautikBhalala
September 7, 2022
Reading Time: 1 min read
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Leetcode All Problems Solutions

Leetcode All Problems Solutions

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Table of Contents

  • Largest Divisible Subset – LeetCode Solution Java , Python 3, Python 2 , C , C++, Best and Optimal Solutions , All you need.
  • C++ Largest Divisible Subset LeetCode Solution
  • Java Largest Divisible Subset LeetCode Solution
  • Python 3 Largest Divisible Subset LeetCode Solution
    • Leave a comment below
      • Related posts:

Largest Divisible Subset – LeetCode Solution Java , Python 3, Python 2 , C , C++, Best and Optimal Solutions , All you need.

C++ Largest Divisible Subset LeetCode Solution


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class Solution {
public:
    vector<int> largestDivisibleSubset(vector<int>& nums) {
        if(nums.size()==0){
            return nums;
        }
        sort(nums.begin(),nums.end());
        int flag=1;
        if(nums[0]==1){
            flag=0;
        }
        else{
            nums.push_back(1);
            flag=1;
        }
        sort(nums.begin(),nums.end());
        int i,j;
        int dp[nums.size()][2];
        for(i=nums.size()-1;i>=0;i--){
            dp[i][0]=0;
            dp[i][1]=i;
            for(j=i+1;j<nums.size();j++){
                if((nums[j]%nums[i])==0){
                    if(dp[j][0]>dp[i][0]){
                        dp[i][0]=dp[j][0];
                        dp[i][1]=j;
                    }  
                }
            }
            dp[i][0]++;
        }
        i=0;
        vector<int> t;
        t.push_back(nums[i]);
        while(dp[i][1]!=i){
            i=dp[i][1];
            t.push_back(nums[i]);
            
        }
        if(flag==1){
            t.erase(t.begin());
        }
        return t;
        
    }
};

Java Largest Divisible Subset LeetCode Solution


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class Solution {
  // if we sort the array, every element in a divisibleSubset can be divisible by the element just before it.
// for any element k, its largestDivisibleSubset that ends with k can be formed in the following way: 
// use element k after any one of the previous elements that is divisble 
public List<Integer> largestDivisibleSubset(int[] nums) {
    int[] l = new int[nums.length]; // the length of largestDivisibleSubset that ends with element i
    int[] prev = new int[nums.length]; // the previous index of element i in the largestDivisibleSubset ends with element i
    
    Arrays.sort(nums);
    
    int max = 0;
    int index = -1;
    for (int i = 0; i < nums.length; i++){
        l[i] = 1;
        prev[i] = -1;
        for (int j = i - 1; j >= 0; j--){
            if (nums[i] % nums[j] == 0 && l[j] + 1 > l[i]){
                l[i] = l[j] + 1;
                prev[i] = j;
            }
        }
        if (l[i] > max){
            max = l[i];
            index = i;
        }
    }
    List<Integer> res = new ArrayList<Integer>();
    while (index != -1){
        res.add(nums[index]);
        index = prev[index];
    }
    return res;
}

}

 



Python 3 Largest Divisible Subset LeetCode Solution


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class Solution(object):
     def largestDivisibleSubset(self, nums):
        """
        :type nums: List[int]
        :rtype: List[int]
        """
        n = len(nums)
        if n <= 1:
            return nums
        nums.sort()
        dp = [(0, 0)] * n
        dp[0] = (1, 0)
        maxIndex, maxVal = 0, 1
        for i in range(1, n):
            dp[i] = max((dp[j][0] + 1, j) for j in range(i + 1) if nums[i] % nums[j] is 0)
            if dp[i] > maxVal:
                maxIndex, maxVal = i, dp[i]
        i, lds = maxIndex, [nums[maxIndex]]
        while i != dp[i][1]:
            i = dp[i][1]
            lds.append(nums[i])
        return lds



 

Array-1180
String-562
Hash Table-412
Dynamic Programming-390
Math-368
Sorting-264


Greedy-257
Depth-First Search-256
Database-215
Breadth-First Search-200
Tree-195


Binary Search-191
Matrix-176
Binary Tree-160
Two Pointers-151
Bit Manipulation-140


Stack-133
Heap (Priority Queue)-117
Design-116
Graph-108
Simulation-103
Prefix Sum-96


Backtracking-92
Counting-86
Sliding Window-73
Linked List-69
Union Find-66


Ordered Set-48
Monotonic Stack-47
Recursion-43
Trie-41
Binary Search Tree-40
Divide and Conquer-40


Enumeration-39
Bitmask-37
Queue-33
Memoization-32
Topological Sort-31


Geometry-30
Segment Tree-27
Game Theory-24
Hash Function-24
Binary Indexed Tree-21


Interactive-18
Data Stream-17
String Matching-17
Rolling Hash-17
Shortest Path-16


Number Theory-16
Combinatorics-15
Randomized-12
Monotonic Queue-9
Iterator-9
Merge Sort-9


Concurrency-9
Doubly-Linked List-8
Brainteaser-8
Probability and Statistics-7
Quickselect-7


Bucket Sort-6
Suffix Array-6
Minimum Spanning Tree-5
Counting Sort-5
Shell-4


Line Sweep-4
Reservoir Sampling-4
Eulerian Circuit-3
Radix Sort-3


Strongly Connected Componen-t2
Rejection Sampling-2
Biconnected Component-1

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Tags: Cc++14full solutionGojavajava 15java 7java 8java8javascriptkotlinLargest Divisible SubsetLeetCodeLeetCodeSolutionpypy 3Python 2python 3rubyrustSolution
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