Question

In Big-Θ notation, analyze the running time of the following pieces of code/pseudo-code. Describe the running time as a function of the input size (here, n)

int *a = new int [10]; // new is O(1)
int size = 10;
for (int i = 0; i < n; i ++)
  {
    if (i == size)
      {
        int newsize = 3*size/2;
        int *b = new int [newsize];  // new is O(1)
        for (int j = 0; j < size; j ++) b[j] = a[j];
        delete [] a;  // delete is O(1)
        a = b;
        size = newsize;
      }
    a[i] = i*i;
  }

Answer 1