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maximum product subarray

Fragile Finch answered on August 5, 2022 Popularity 10/10 Helpfulness 1/10

answer maximum product subarray

maximum product subarray

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<script>
  
// JavaScript program to find 
// Maximum Product Subarray
  
/* Returns the product 
  of max product subarray.
Assumes that the given 
array always has a subarray
with product more than 1 */
function maxSubarrayProduct(arr, n)
{
    // max positive product 
    // ending at the current position
    let max_ending_here = 1;
  
    // min negative product ending 
    // at the current position
    let min_ending_here = 1;
  
    // Initialize overall max product
    let max_so_far = 0;
    let flag = 0;
    /* Traverse through the array. 
    Following values are
    maintained after the i'th iteration:
    max_ending_here is always 1 or 
    some positive product ending with arr[i]
    min_ending_here is always 1 or 
    some negative product ending with arr[i] */
    for (let i = 0; i < n; i++)
    {
        /* If this element is positive, update
        max_ending_here. Update min_ending_here only if
        min_ending_here is negative */
        if (arr[i] > 0) 
        {
            max_ending_here = max_ending_here * arr[i];
            min_ending_here
                = Math.min(min_ending_here * arr[i], 1);
            flag = 1;
        }
  
        /* If this element is 0, then the maximum product
        cannot end here, make both max_ending_here and
        min_ending_here 0
        Assumption: Output is alway greater than or equal
                    to 1. */
        else if (arr[i] == 0) {
            max_ending_here = 1;
            min_ending_here = 1;
        }
  
        /* If element is negative. This is tricky
         max_ending_here can either be 1 or positive.
         min_ending_here can either be 1 or negative.
         next max_ending_here will always be prev.
         min_ending_here * arr[i] ,next min_ending_here
         will be 1 if prev max_ending_here is 1, otherwise
         next min_ending_here will be prev max_ending_here *
         arr[i] */
  
        else {
            let temp = max_ending_here;
            max_ending_here
                = Math.max(min_ending_here * arr[i], 1);
            min_ending_here = temp * arr[i];
        }
  
        // update max_so_far, if needed
        if (max_so_far < max_ending_here)
            max_so_far = max_ending_here;
    }
    if (flag == 0 && max_so_far == 0)
        return 0;
    return max_so_far;
}
  
  
    // Driver program 
      
    let arr = [ 1, -2, -3, 0, 7, -8, -2 ];
    let n = arr.length;
    document.write("Maximum Sub array product is " + 
                    maxSubarrayProduct(arr,n)); 
      
</script>

Popularity 10/10 Helpfulness 1/10 Language whatever

Source: www.geeksforgeeks.org

Tags: product sub-array whatever

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Contributed on Aug 05 2022

Fragile Finch

0 Answers Avg Quality 2/10

maximum product subarray

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