Finding values in a 2 dimensional array

[fvnn]

Here's the pseudo code:

for i := 1 to n { //i=1 and n=4
  for j := i to n { //j=1
   B[i][j] := 0
     for k := i to j {
       B[i][j] := B[i][j] + A[k]
     }
  }
}

This is what i understand from the code above - B values are from the sum of a values.
I want to know what the values of B[j] would be if A were A[1,2,3,4]. I don't need an answer i just need guidance on how to solve this.

 

[Evgeny.Makarov]

Do array indices start at 1?

Why don't you execute the code by hand and then write an actual program, say, in C to verify the result? For example, when $i=1$ and $j=3$ the inner loop makes three iterations:

B[1][3] := B[1][3] + A[1];
B[1][3] := B[1][3] + A[2];
B[1][3] := B[1][3] + A[3];

So the B[1][3] ends up with 1 + 2 + 3 = 6.