{
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  {
   "cell_type": "markdown",
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    "### Weather Simulation with Markov Chain"
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  {
   "cell_type": "code",
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   "source": [
    "import random\n",
    "# List with sunny and rainy\n",
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    {
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    {
     "data": {
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       "'S S S S S S S S S S S S S S R R S S S S S S S S S R S S S S S S S S S S R R R S S S S S S S S R S S S S R R S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S R R R R S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S R S S S S S S S S S R R R R S S S S S S S S S S S S S S R R R R R S S S S S S S R S S S S S S R R S S S S S S S S R R S S S S S S S S S R R S S S S S S S S R S S S S R S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S R S R R S S S R S S S S S S S S S S S S S S R S S S S S S S S R S S S S S S R R R R R S S S S S R R R R S S S S S S S S S S S S S R S S S R S S S S S S R S S S S R S S S S S S S S S S S S S S S R S S S S S S S R R S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S R R R S S S S S S S S S S R R R S S S S S S S S S S S R S S S S S S R R S S R R S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S R R R S S S S S S R R S S S S S S S S S S S S S S S S S S S S S S R R S S R S S S S S S S R R S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S S S S R S S R R R R R R S S S R R S S S S R R S S S S S S S S S R R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S S S R R R R S S S S R R R S S S S S S S S S S S S S S R S R S S S S S S S S S S S S R R R S S R R R S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S R R R S S S S S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S R S S S S S S S S S S S S S S S S S S S S R R S S R R R R R S R R R R S S S S S R S S S S S S R S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S R R R S S S S S S S S S S S S S S S S S R R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S S S S S S R S S S S S R S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S R R R S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S R S S S S S S S S R R R S S S S R S S S S S S S S S S S S S S S S R R R R R S R R S S S R S S S S S S S S S R R S S S S S S R R R R R S S S S R R R R S S S S S S S S S S R R S S S S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S R S S S S S S R S S S S S S S S S R R R R R R R S S S S S S S S S S S S R S S S S S S S S S S S S S S S R S S S S S S R S S S S S S S S S S S S S S S S S R S S S S S R R R R R R S S S S S S S S R R R R R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S R R R S S S S S S S S S S S S R R S S S R R R R R S R S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S S S S R S S R S S R S S R R S S S S S S S S S S S S R R R R S R R R S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S R S S S S R S S S S S S S S S S S S S S S S S S S R S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S R R S S S S S S S S R R S S S R S S S S S S S S R S S S S S S S S S S S R S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S S S S S S S R S S S S S S S R S S S S S S S R S S S S S S R S S R S R S S S S S S S S S S S S S S R S S S S S S R S S S S S R R S S S S S S S S S S S S S S S S S S S S R R R R S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S R R S S R S S S S S S R R R R R R R R R R R R S S S S R S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S R R R S S S S S S R S S S S R R R R R R R R R S S S S S S S S S S S S S R R R R R S S S S S S S R S S R R R S S S R R R S S S S S S S S S R S R S S S S S S S S S S S S R R S S S S S S S S S S S S S S S R S R R S S R S R S S S S S S S S S S R R S S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S R R R S S S S S S S S S S S S R R R R S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S R R R S S S S S R S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S R S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S R S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S R S S S R S S S S S S S S S S S S S S S R R S S S S S S S S S S S R R R R S S S S R R S S S S S S S R R S R R R R R R S S S S R R S R S S S S S S S S S S S R S S S S S S S S S S S R R S S R S S S S S S S S S S S S R S S S S S S R S S S S S S S S S S S S S S R R R R R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S R S S S S S R R S S S S S R R S S S R R R S S R R S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S R S S R R R S R R S S S S S S S S S S S S S S S S S S S S S S S R S S R R R R R S R S S S S R S S S S S S S S S R S S S S R R R R R R S S S R R S S S S R S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S R R R S R S S S S S S S S S S S S R R R S S R S S S S S S S S S S S S S S S S S S R R S R R R R R S S S S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S S R R S S S S S S R R S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S R S S R R R S R S S R R S S S S S S R S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R R S S S R S S S S R S R R S S S R S R R R R R S S S S S S S S S S R R R S S S S S R S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S R R S S S R R R S S S S S S S S S S S S S R R S S S S S R R R S S S S S S S S R S S S S S S S S S S S S S R S S S S R S S R S S S S R R R S S S S S S R R R S S S R R S S S S S S S S S S R R R S S S S S S S S S S S R S S S S S S S S S S R R S S S S R R S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S R R R S R R S S S S S S S S S S S S S S S R R R S S S S S S S S S S S S S S S S S S S S S S R R S S S S R S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S R R R R R R S S S S S S S S S S S S S S S S R S S S R S S S S S S S S S S S S S S S S S S S R S S S S S S S S S R S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S R S S S S S S S S R R S S S S S R R R R R R S S S R R S S S S S S S S R R S S S S S S S S R S S S S R R R S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S R R R S S S R R R S S S S R S S S S S S S S S S S S S S S S R S S S S S S S S S S S S R S S S S S S S S S S S S S S R R R R R S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S R S S S S R S R R R R R S R S S S S S S S R R S S S S S S S S S S R S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S R R S S S R S S S S S S S S S S R S R R R R S S S S S S S R S S S S S S S S S S S S S R R R S S R S R R R S R R S S S R S R R R R S S S S S S S S S S S S S R S S S S S R R R S S S S S S R S S S S S S S S S S S S R S S S S S R R S S R S S S S S S S R R R S R S S S S S S S S S S S S S S S S S S S S S S S S S S R R R S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S S R R R R R R S R R R R R S S S S R R S S S S S S S S S S S R R R S S S S S S S S S S S S S S R S S S R S S R R R R R S R S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S R R R S S S S S S S S S S S S S S S S S S S S S R R S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R R S S S S R S S S S S S S S S S R S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S R R S S S S S S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S R R R R R R R R S S S S S S S S S S S S S S S S S R R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R R S R R S S S R S S S S S S R S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S R R S S S S S R R S S S S R S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S R S S S S S S S S R R R R S S S S S S S S S S S S S R S S S S S S S S R R R S S S S R R R S S S S S S R R S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S R R S R S S S R S S S S S R R S S S S S S S S R R R S S S S S S S S S S S S S S R R R S S S S S S S S S R R S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S R R R R R S S S S S S S R S S S S S S S S S S S S S R R S S R R S S S S S S S S S S S S S S S S S S S R R S S S S S S S S S S S R S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S S S S R R R R S S S S R R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S R R S S S S S S S S S S S S S S R S R S S S S S S S R R S S S S S S S S S S S S S S S S R S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S R R R R S S S S S S S S R S S S S R R R R S S S S S R S S S S S S S S S S S R R S S S R R R S S S S S S S S S S S S S R R R R S S S S S S S S S S R S S S S S S S R S S S S S S S S R R S S S R S S S S S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S R S S S S S S R R R R S S S S S S S S S R R R R R S R R R R R S S R S S R R S S S R R S S S S S S S S R S S S S S S S R R S S S S R R R R R S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S R S S S S S S S S S S S S S S S S S S S R R S S S S S S S S S S S S S R S S S S S S S S S R R R R S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S R S S R S R S S S S R S S S S S S S S R S R S S S S S S S S S S S S S S S S S R R R R R S S S S S S S S S S S S R R R R S S S S S S S S S S R R R R S S R R R S S S S S S S R S R R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S R S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S R R S S S S S S S S R S S S S S R S S S S S S S S S S S S S R S S S S S S S S S S S S S R R R R S S R R R R R S R S S S S S S S R R R S S S R R R R R S R S R R R R S S S R S S S R R S S S S S R R R S R S S S S S R S S S S S S S S S S S S S S S S S S S S S R S S R R S S S S S S R R R S S S S S S S S S S S S S S S S S S S S R S S S S R S R R S S S S S R R S S S R R S R S S S R S S R R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R R S S S S S S R S S S S S S S S R R R R R S S S S S S S R S S R S R R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S R R R S S S S S S S S S S S S R R S S S S S S S S S S S S S S R R S S S S S S S S S S S S R S S S S S S S S R S S S S S S S S S S S S S S S S S S R R R R R R R S S S S S S S R R R R R R S S S S S S S S S S S R S S R S S R R R S S R R S S S S S S S S S R S S R R S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S R R R R R R S S S R S R R S S S S S R S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S R S R R R R R R S S S S S S S S S S S S S S R R S S R R R R R S S S S S S S S S S S S S S R S S R R S S S S S R S S S S S S S S R S S R R S S R S S S R R R S S S S S S S S S S S S S S S S S S S S S S R S S R R R R S R R S S S S S R S S S S S S S S S S S S S S S S S S S R R R S S S S S R R R R S R R R S S S S S S S S S S S S S S S R R R R R S S S S S S S S S S S S S S S S S S S S S S S R R S S R R S S S S S S S S R R S R R S S S S S S S S S S S R R S S S R S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S R R S S R R R S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S R R R S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S R R R S S S S S S S S R S S S S R R R S S S S S S S S S S S S S R R R S S S S S S S S 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S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S R S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R R R S S S S S S S S S S S S S R R S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S R S S S S S S S R R R R R S S S S S S S S S S S S S S S S S S S R S S S S S S R S S S S S S S S S S R S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S R R R S S S S S S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R R R S S S S S S S S S S S R R R R R S S S S S S S S S R R S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S R S S S S S S S S S S S S S S S S S S S S S R S S S S S S S R S S S S S S S S R S S R R S S S S S S S S R R R R S S S S R S S S R R R S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R R R R S S S S S S R S S S S S R S S S S S S S S S S S S S R R S S S S S S S S S S S R S S S R R R S S S S S S S S S S S R R R S S S S S S S S S S S S S S S S S S R R R R R R S S S S S S R R R R S R R R S S S S S S S S S R R S S S S S S S S S S S S S R S S S S S R S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S R S S S R R R R S S S S S S S S S S S S S S S S S S S R R R S S S S S S S S S S S S R S S S S S S S S S S S R S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S R R S S S S R S R S S R R S S R R R S S S S S S S S R S S S R S S S S S S S R S S S S S S S S S R R S R R R R R S S S S S S S S S S S S R R S R S R S S S S S S S S S S R S S S S S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S R S S S S R R R R R S S S S S S S S S S R R R S S S S R S S S S S S S S S S S S S S S S S S R R R S S S S S S S S S S S S S S S S S S S S S S S R R R S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R R R S R R R S S S S S S S S S S S S S S S S S S S S S S S S S S R R R S S S S S S S S S S S S R S S S S S S S S S S R R S S S S S S S R R S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S R R R R S S S S R S S S S R S S S S S S S S S S S S S S S S S S S R S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S R S S S S S S S S S S S S S R S S S S S S S S S R S S S S S R S S S S S S S S R S S S S S R R S S S S R S S S S S S S S S S S S S S S S S S S S R S S S S R S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S R S S S S S S S R R R S S S S R R R R S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S R S S S S S R R R S S S R R S S S S S S S S S R R R R R S S S S S S R S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S R S R R R S S S S S S S S S S S S S R S S S S R S S S S S S S S S S S S R R S S S S S S R S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S R S S S S S S R S S S R S S R S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S R R S S S S S S S S S S S R R S S S S S S S R S R R R S R R R S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S R R R R S S S S S S S S S S S S S S S S S S R R R R R R S S S S S S S S S S S S S S S S R S S S S S S S S S S S S R R S S R S S S S S S R R R S S S S S R S S S R S R R R S S S S S S S S S S S S S S S S R S S S S S S S S S R R R S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S R R R S S S S S S S S S S S S S S S S R S S S S S S S S R R R S S S S S R S R S S S S R R R R S S S S S S S S S R S S S S S S S S S S S S R S S S S S S S S S S S S S S S R S S S S S R S S S S S S R R S S S S S S S S S S S S S S S S S S S R S S S R R R S S S R S S S S S R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R R S S S S S S S S R S S S R R S R S S S S S S S S S R S S R S S S S S S S S S S S S S R R S S S R R S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S R S S S S S S S S S R S S S S R R R S S S S S S R S S S S S S S R S S S S S S S S S S S'"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Markov chain\n",
    "for i in range(n):\n",
    "# If it's sunny on day i add randomly 'S' from d with\n",
    "# absweight .9 or 'R' with weight 0.1\n",
    "    if w[i] == 'S':\n",
    "        w.append(random.choices(d, weights=[0.9, 0.1])[0])\n",
    "    # If it's rainy on day i add randomly 'S' with weight .5\n",
    "    # or 'R' with weight 0.5\n",
    "    else:\n",
    "        w.append(random.choices(d, weights=[0.5, 0.5])[0])\n",
    "        # Removes quotes ' ' in list w\n",
    "w_1 = ' '.join(w)\n",
    "w_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6c8e96be-29f4-4ac7-a230-38fbccdcaa71",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8361416385836141"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Probability of sunny days\n",
    "w.count('S') / len(w)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}