Subset with maximum sum in JavaScript



We are required to write a JavaScript function that takes in an array of integers. Our function is required find the subset of non−adjacent elements with the maximum sum.

And finally, the function should calculate and return the sum of that subset.

For example −

If the input array is −

const arr = [3, 5, 7, 8, 10];

Then the output should be 20 because the non−adjacent subset of numbers will be 3, 7 and 10.

Example

The code for this will be −

const arr = [3, 5, 7, 8, 10]; const maxSubsetSum = (arr = []) => {    let min = −Infinity    const helper = (arr, ind) => {       if ( ind < 0 ){          return min       };       let inc = helper(arr, ind−2);       let notInc = helper(arr, ind−1);       inc = inc == min ? arr[ind] : Math.max(arr[ind], arr[ind] + inc);       return Math.max( inc, notInc );    };    return helper(arr, arr.length − 1); }; console.log(maxSubsetSum(arr));

Output

And the output in the console will be −

20
Updated on: 2020-11-24T06:55:04+05:30

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