Assignments/3rd_Assignment.ipynb

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    "colab": {
      "name": "3rd Assignment.ipynb",
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    "kernelspec": {
      "name": "python3",
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      "cell_type": "markdown",
      "metadata": {
        "id": "vHFI6GfMGMSm",
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      "source": [
        "### Numpy"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1M6ZR6T6GrFW",
        "colab_type": "text"
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      "source": [
        "1) Create a function that receives an integer N as argument and returns a matrix NxN with 1 on the border and 0 inside"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nkPlX2_YHVBJ",
        "colab_type": "text"
      },
      "source": [
        "2) Create a function that transpose a matrix without using the method np.transpose or np.array.T."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BjQQns18IJTN",
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      "source": [
        "3) Create two 1d arrays with length 10 that contains random integers from 0 to 1000. How many iterations does it take until the sum of their values are the same?"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xQIM-1-BNHr2",
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      "source": [
        "### Classes"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "R_vi6lpSNLPC",
        "colab_type": "text"
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      "source": [
        "Create a class \"Country\" that contains the following methods:\n",
        "\n",
        "- compare_gdp_per_capita\n",
        "- compare_population_density\n",
        "- development_status \n",
        "\n",
        "Additional information:\n",
        "\n",
        "- To classify the development status (high-income, upper middle income, lower middle income and low-income) use the following methodology: https://www.un.org/en/development/desa/policy/wesp/wesp_current/2014wesp_country_classification.pdf\n",
        "\n",
        "- Consider GNI as GDP\n",
        "\n",
        "- The input will be in the format (name_of_country, population, area_in_km2, gdp), where name_of_country is a string and the other three inputs are integers.\n",
        "\n",
        "\n",
        "**Example**\n",
        "\n",
        "brazil = Country(\"Brazil\", 209500000, 8516000, 1847000000)\n",
        "\n",
        "mexico = Country(\"Mexico\", 126200000, 1973000, 1221000000)\n",
        "\n",
        "brazil.development_status ➞ 'upper middle income'\n",
        "\n",
        "mexico.compare_population_density(brazil) ➞ \"Mexico has a larger population density than Brazil\"\n",
        "\n",
        "brazil.compare_gdp_per_capita(mexico) ➞ \"Brazil is poorer than Mexico\""
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qLPaKuekVPUh",
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      "source": [
        "### General Exercises"
      ]
    },
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      "cell_type": "markdown",
      "metadata": {
        "id": "xBIdUgtTWNy0",
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      "source": [
        "1) **Counting Sundays** (Project Euler 19)\n",
        "\n",
        "- 1 Jan 1900 was a Monday. \n",
        "- Thirty days has September,\n",
        "April, June and November.\n",
        "- All the rest have thirty-one,\n",
        "- Saving February alone, which has twenty-eight, rain or shine.\n",
        "- And on leap years, twenty-nine.\n",
        "- A leap year occurs on any year evenly divisible by 4, but not on a century unless it is divisible by 400.\n",
        "\n",
        "\n",
        "How many Sundays fell on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)?"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9o40QQYTVTjd",
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      "source": [
        "2) Create a function that receives a 'CPF' and checks whether it is a valid CPF. The conditions that makes a CPF valid can easily be found on internet."
      ]
    }
  ]
}