Max double slice sum

If I have understood the problem correctly, you want to calculate the maximum sum subarray with one element missing.

Your algorithm shall not work for the following case:

 1 1 0 10 -100 10 0

In the above case, your algorithm shall identify 1, 1, 0, 10 as the maximum sum sub array and leave out 0 to give 12 as the output. However, you can have 1, 1, 0, 10, -100, 10 as the answer after leaving out -100.

You can use a modified form of Kadane's algorithm that calculates the MAX Sum subarray ending at each index.

  1. For each index, calculate the max_sum_ending_at[i] value by using Kadane's algorithm in forward direction.
  2. For each index, calculate the max_sum_starting_from[i] value by using Kadane's algorithm in reverse direction.
  3. Iterate these arrays simultaneously and choose the 'Y' that has the maximum value of

    max_sum_ending_at[Y-1] + max_sum_starting_from[Y+1]


Hello this implementacion has 100 score

int i,n ;

n = A.size();

if (3==n) return 0;

vector<int>  max_sum_end(n,0);
vector<int>  max_sum_start(n,0);

for (i=1; i< (n-1); i++) // i=0 and i=n-1 are not used because x=0,z=n-1
{
  max_sum_end[i]   = max ( 0 , max_sum_end[i-1] + A[i]  ); 
}

for (i=n-2; i > 0; i--) // i=0 and i=n-1 are not used because x=0,z=n-1
{
   max_sum_start[i]   = max ( 0 , max_sum_start[i+1] + A[i]  ); 
}  

int maxvalue,temp;
maxvalue = 0;

for (i=1; i< (n-1); i++)
{
 temp = max_sum_end[i-1]  + max_sum_start[i+1];
 if ( temp >  maxvalue) maxvalue=temp;
}

return maxvalue ;

Tags:

Algorithm

Java