{
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  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
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  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# Lecture 20 - Dynamic Programming\n",
        "\n",
        "In this lecture, we will discuss -\n",
        "\n",
        "1. Recap of Dijkstra's algorithm for shortest paths\n",
        "2. Computation of recursive functions - Fibonacci numbers\n",
        "3. Memoization\n",
        "\n",
        "\n",
        "---\n",
        "\n",
        "\n",
        "Announcements -\n",
        "\n",
        "1. [Exam 2 regrade request Form](https://forms.gle/nA9cmgdXYVFTNdwVA)\n"
      ],
      "metadata": {
        "id": "g3X5P5cRHoR3"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Dijkstra's Algorithm (Recap)\n",
        "\n",
        "**Main Idea**\n",
        "\n",
        "To find shortest paths in weighted graphs, where all the weights are positive, graphs can be explored in a lowest cost vertex first manner.\n",
        "\n",
        "This is a **Greedy** approach for this reason.\n",
        "\n",
        "Visualization - https://visualgo.net/en/sssp"
      ],
      "metadata": {
        "id": "HUKS7a2bbc4h"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def Dijkstras(G, s):\n",
        "    n = len(G)\n",
        "    max_value = float('inf')\n",
        "\n",
        "    # initializing dist values to infinity and parent values to none\n",
        "    dist = [max_value] * len(G)\n",
        "    parent = [None] * len(G)\n",
        "\n",
        "    # priority queue that maintains vertices with priority for lower distance\n",
        "    priority_queue = []\n",
        "    for i in range(len(G)):\n",
        "        priority_queue.append(i)\n",
        "\n",
        "    # setting s as the start vertex and updating priority queue\n",
        "    dist[s] = 0\n",
        "    priority_queue = update_vertex(priority_queue, s, dist)\n",
        "\n",
        "    while priority_queue != []:\n",
        "      #pick the cheapest vertex\n",
        "        u = priority_queue.pop(0)\n",
        "        for (v, weight) in G[u]:\n",
        "            if dist[v] > dist[u] + weight:\n",
        "                parent[v] = u\n",
        "                dist[v] = dist[u] + weight\n",
        "                priority_queue = update_vertex(priority_queue, v, dist)\n",
        "                #print(\"Update caused by edge : (\" + str(u) + \",\" + str(v) + \")\")\n",
        "                #print(\"New distance value for \" + str(v) + \" : \" + str(dist[v]))\n",
        "\n",
        "    return dist\n",
        "\n",
        "\n",
        "# updating the position of v in the priority queue based on new distance value\n",
        "def update_vertex(pq, v, dist):\n",
        "    for i in range(len(pq)):\n",
        "        if pq[i] == v:\n",
        "            while i > 0 and dist[pq[i - 1]] > dist[v]:\n",
        "                pq[i] = pq[i - 1]\n",
        "                pq[i - 1] = v\n",
        "                i -= 1\n",
        "            return pq\n",
        "\n",
        "\n",
        "print(Dijkstras([[(1, 50), (2, 90), (3, 150), (4, 161)],[(4, 55)],[(1, 375), (3, 140), (4, 140)],[(4, 60)],[]],0))"
      ],
      "metadata": {
        "id": "pzS5Nmpvbtjb"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Dijkstra's algorithm - observations (recap)\n",
        "\n",
        "\n",
        "*   Dijkstra's algorithm correctly returns the shortest paths for weighted graphs with positive edge weights.\n",
        "\n",
        "*   This approach does not always work when edge weights can be negative. We will see this in the lab this week.\n",
        "\n",
        "* Priority Queues - Different data structures can be used to implement priority queues. A typical choice is a [**Heap**](https://courses.grainger.illinois.edu/cs225/sp2019/notes/heaps/) which maintains the data in a reasoanbly efficient manner - updates require $O(\\log n)$ time and deleting the minimum also requires $O(\\log n)$ time. The running time of Dijkstra's with heaps is $O(|V|\\log|V| + |E| \\log |V|)$."
      ],
      "metadata": {
        "id": "nQ8O55h_bo72"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Fibonacci Numbers\n",
        "\n",
        "* The fibonacci sequence was conceived by Italian mathematician Leonardo Bonacci (commonly known as Fibonacci)\n",
        "\n",
        "* The seqeunce represented the growth of rabbit population one generation at a time.\n",
        "\n",
        "* More applications including mathematical models, finance, found in nature etc.\n",
        "\n",
        "**Recrusive Definition of Fibonacci numbers**\n",
        "\n",
        "$$fib(n) = fib(n-1) + fib(n-2)$$\n",
        "\n",
        "for $n \\geq 2$, and the base cases are $fib(0) = 0$ and $fib(1) = 1$."
      ],
      "metadata": {
        "id": "TWjnC6fPS2eJ"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "7eJfwy1BHlxQ"
      },
      "outputs": [],
      "source": [
        "#Write a function fib(n) that takes asn input a number n and returns the value of the n-th fibonacci number.\n",
        "\n",
        "def fib(n):"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Run time analysis\n",
        "\n",
        "Let $T(n)$ denote the run time of $fib(n)$. Based on the recursive function written above, we have -\n",
        "\n",
        "$$T(n) = T(n-1) + T(n-2) + O(1)$$\n",
        "\n",
        "While the exact closed form of $T(n)$ is beyond our current scope, it is easy to see that -\n",
        "\n",
        "$$T(n) \\geq 2 T(n-2) + 1$$\n",
        "which can be further extended to give -\n",
        "$$T(n) \\geq 2^{\\frac{n}{2}}$$\n",
        "\n",
        "> $T(n)$ is an exponential function in $n$.."
      ],
      "metadata": {
        "id": "2QGX33X2WOdy"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Visualization of naive recursive computation for fib(5) -\n",
        "\n",
        "![Screenshot 2026-04-06 at 2.35.48 PM.png](data:image/png;base64,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)\n",
        "\n",
        "**Observations**\n",
        "\n",
        "1. $fib(4)$ is computed once.\n",
        "2. $fib(3)$ is computed twice.\n",
        "3. $fib(2)$ is computed thrice.\n",
        "\n",
        "> The naive recursive computation repeats computations and is running in exponential time."
      ],
      "metadata": {
        "id": "kRmU3CBSXCLX"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Memoization\n",
        "\n",
        "In order to not make repeated computations, we can store the value of $fib(i)$ for each $i$ once we have computed it and use this directly when needed.\n",
        "\n",
        "A memoized function, when called with a given set of inputs for the first time, stores the inputs along with the computed results. Upon subsequent calls with remembered inputs, the function returns the remembered results rather than recomputing them, thus eliminating the cost of a recomputation.\n",
        "\n",
        "Resource to look up Memoization - https://www.geeksforgeeks.org/dsa/what-is-memoization-a-complete-tutorial/"
      ],
      "metadata": {
        "id": "O-D4VgrKX0nP"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def fib_memoized(n):"
      ],
      "metadata": {
        "id": "scwjvso5YUfX"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Ordered computation of subproblems\n",
        "\n",
        "Observe that $fib(5)$ depends on $fib(4)$ and $fib(3)$. So, it makes sense to compute $fib(5)$ after computing $fib(4)$ and $fib(3)$.\n",
        "\n",
        "Similarly, $fib(4)$ depends on $fib(3)$ and $fib(2)$. So, it makes sense to compute $fib(4)$ after computing $fib(3)$ and $fib(2)$.\n",
        "\n",
        "What does this suggest?\n",
        "\n",
        "We should compute fibonacci numbers in a certain order to ensure that we leverage the dependency structure efficiently."
      ],
      "metadata": {
        "id": "SlZ_TVUiY5nX"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Dynamic Programming\n",
        "\n"
      ],
      "metadata": {
        "id": "fjUb5bCOb2S0"
      }
    }
  ]
}