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   "source": [
    "# Task 06\n",
    "\n",
    "**deadline: 11/04/2021 23:59 CET**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**[0.5 points]:** Write a function that calculates natural cubic spline interpolation of a given set of data points $ (x_i, y_i) $, $ i = 0, 1, \\dots, n - 1 $. The function returns a list of cubic splines in the form of `numpy.poly1d` so that the $ i $-th element of the list is the cubic spline interpolation in the interval $ [x_{i}, x_{i + 1}] $.\n",
    "\n",
    "**[0.5 points]:** Calculate the natural cubic spline interpolation of the following set of data points, \n",
    "\n",
    "$$\n",
    "(0, 0), \\ (1, 2), \\ (2, -1), \\ (3, 1) \n",
    "$$\n",
    "\n",
    "and plot the result. You may evaluate the correctness of your implementation using the [`scipy.interpolate.CubicSpline`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.interpolate.CubicSpline.html) function with the `bc_type=\"natural\"` input argument."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# add your code here\n"
   ]
  }
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