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HackerRank Max Array Sum problem solution

YASH PAL, 31 July 202410 September 2024

In this HackerRank Max Array Sum Interview preparation kit problem you have Given an array of integers, find the subset of non-adjacent elements with the maximum sum. Calculate the sum of that subset.

HackerRank Max Array Sum Interview preparation kit solution

Problem solution in Python programming.

#!/bin/python3

import math
import os
import random
import re
import sys

# Complete the maxSubsetSum function below.
def maxSubsetSum(arr):
    dp = {} # key : max index of subarray, value = sum
    dp[0], dp[1] = arr[0], max(arr[0], arr[1])
    for i, num in enumerate(arr[2:], start=2):
        dp[i] = max(dp[i-1], dp[i-2]+num, dp[i-2], num)
    return dp[len(arr)-1]

if __name__ == '__main__':
    fptr = open(os.environ['OUTPUT_PATH'], 'w')

    n = int(input())

    arr = list(map(int, input().rstrip().split()))

    res = maxSubsetSum(arr)

    fptr.write(str(res) + 'n')

    fptr.close()

Problem solution in Java Programming.

import java.io.*;
import java.math.*;
import java.security.*;
import java.text.*;
import java.util.*;
import java.util.concurrent.*;
import java.util.regex.*;

public class Solution {

    // Complete the maxSubsetSum function below.
    static int maxSubsetSum(int[] arr) {
     if(arr==null || arr.length==0)
      return 0;
     int n=arr.length;
     if(n==1)
       return arr[0];
      if(n==2)  //Just for clarification  not really need that
       return  Math.max(arr[0],arr[1]);  
    //will hold all max till the i-th location
      int[] g=new int[n];
      int currMax = Math.max(arr[0],arr[1]);
      g[0]=arr[0];
      g[1]=currMax;
      for (int i = 2; i < arr.length; i++) {
           currMax =  Math.max(g[i-2] + arr[i], currMax);
           currMax = Math.max(arr[i], currMax);
           g[i]=currMax; 

        }
    return g[n-1];
   // return IntStream.of(g).max().getAsInt();
}

    private static final Scanner scanner = new Scanner(System.in);

    public static void main(String[] args) throws IOException {
        BufferedWriter bufferedWriter = new BufferedWriter(new FileWriter(System.getenv("OUTPUT_PATH")));

        int n = scanner.nextInt();
        scanner.skip("(rn|[nru2028u2029u0085])?");

        int[] arr = new int[n];

        String[] arrItems = scanner.nextLine().split(" ");
        scanner.skip("(rn|[nru2028u2029u0085])?");

        for (int i = 0; i < n; i++) {
            int arrItem = Integer.parseInt(arrItems[i]);
            arr[i] = arrItem;
        }

        int res = maxSubsetSum(arr);

        bufferedWriter.write(String.valueOf(res));
        bufferedWriter.newLine();

        bufferedWriter.close();

        scanner.close();
    }
}

Problem solution in C++ programming.

#include <bits/stdc++.h>

using namespace std;

vector<string> split_string(string);

// Complete the maxSubsetSum function below.
int dp[100005];

int maxSubsetSum(vector<int> arr) {
    
    dp[0]=max(0,arr[0]);
    if(arr.size()==1)
        return dp[0];
    for(int i=1;i<arr.size();i++)
    {
        dp[i]=max(dp[i-2],max(dp[i-1],dp[i-2]+arr[i]));
    }
    int n=arr.size();
    return max(dp[n-1],dp[n-2]);
}

int main()
{
    ofstream fout(getenv("OUTPUT_PATH"));

    int n;
    cin >> n;
    cin.ignore(numeric_limits<streamsize>::max(), 'n');

    string arr_temp_temp;
    getline(cin, arr_temp_temp);

    vector<string> arr_temp = split_string(arr_temp_temp);

    vector<int> arr(n);

    for (int i = 0; i < n; i++) {
        int arr_item = stoi(arr_temp[i]);

        arr[i] = arr_item;
    }

    int res = maxSubsetSum(arr);

    fout << res << "n";

    fout.close();

    return 0;
}

vector<string> split_string(string input_string) {
    string::iterator new_end = unique(input_string.begin(), input_string.end(), [] (const char &x, const char &y) {
        return x == y and x == ' ';
    });

    input_string.erase(new_end, input_string.end());

    while (input_string[input_string.length() - 1] == ' ') {
        input_string.pop_back();
    }

    vector<string> splits;
    char delimiter = ' ';

    size_t i = 0;
    size_t pos = input_string.find(delimiter);

    while (pos != string::npos) {
        splits.push_back(input_string.substr(i, pos - i));

        i = pos + 1;
        pos = input_string.find(delimiter, i);
    }

    splits.push_back(input_string.substr(i, min(pos, input_string.length()) - i + 1));

    return splits;
}
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