Ćwiczenia/5. Ćwiczenia/Zadanie 3. (najdłuższy wspólny podciąg).ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Treść"
   ]
  },
  {
   "attachments": {
    "image-2.png": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image-2.png](attachment:image-2.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Omówienie"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$ f(i, j) $ - długość najdłuższego wspólnego podciągu, znajdującego się pomiędzy zerowym indeksem a indeksem $ i $. w tablicy $ A $ oraz między zerowym a $ j $. w tablicy $ B $.\n",
    "<br><br>\n",
    "- Podejście Top-down:\n",
    "1. Tworzymy pomocniczą tablicę $ F $ o wymiarach $ n \\times m $, a następnie wywołujemy funkcję rekurencyjną, która wyznacza najdłuższy wspólny podciąg. Akurat w tym algorytmie zaczynamy sprawdzanie obu ciągów od końca, aby ładniej wyglądał warunek końca rekurencji (wyjście wskaźnika poniżej zera), ale równie dobrze można sprawdzać stringi w drugą stronę. Implementacja jest stosunkowo prosta i czytelna, i opiera się na sprawdzeniu wszystkich możliwych w danym momencie rozwiązań i zapisaniu w tablicy $ F $ najlepszego z nich dla danych wartości $ i $ oraz $ j $.\n",
    "<br><br>\n",
    "- Podejście Bottom-up:\n",
    "1. Wypełniamy pierwszy wiersz i pierwszą kolumnę tablicy $ F $, zgodnie z powyższym opisem funkcji $ f $, a więc w pierwszym wierszu umieszczamy wartość 0, jeżeli $ A[0] $ nie znajduje się w podciągu $ B[0], B[1], ..., B[j] $ oraz $ 1 $, jeżeli się w nim znajduje. Podobnie dla 1. kolumy i sprawdzania, czy $ B[0] $ jest w ciągu $ A $. (Łatwo można zauważyć, ze po znalezieniu pierwszego wystąpienia danej wartości w drugim z ciągów, wszystkie kolejne wartości w wierszu/kolumnie to będą jedynki, bo już mamy znaleziony $ 1 $ wspólny podciąg, kończący się przed obecnie sprawdzanym indeksem), <br>\n",
    "2. W pętli wypełniamy pozostałą część tablicy $ F $. Jeżeli $ A[i] = B[j] $, czyli obecnie sprawdzane znaki w obu ciągach są takie same, możemy przedłużyć najdłuższy dotychczas znaleziony podciąg o $ 1 $. Ponieważ obecnie jesteśmy na indeksach $ i, j $, długość poprzedniego najdłuższego podciągu znajduje się na pozycji $ i - 1, j - 1 $ w tablicy $ F $, więc na polu $ F[i][j] $ zapisujemy wartość $ F[i - 1][j - 1] + 1 $, <br>\n",
    "Jeżeli natomiast $ A[i] \\neq B[j] $, bierzemy jeden z dwóch możliwie najdłuższych obecnie podciągów, czyli albo ten, który kończy się na $ i $. indeksie w $ A $ i na $ j - 1 $. w $ B $ lub ten, który kończy się na $ j $. indeksie w $ B $ i na $ i - 1 $. w $ A $. Nie bierzemy pod uwagę już ciągu, który kończy się na $ i - 1 $. indeksie w $ A $ i na $ j - 1 $. w $ B $, bo jest on podciągiem dwóch wcześniej sprawdzanych ciągów, więc na pewno najdłuższy znaleziony w nim wspólny podciąg będzie nie dłuższy niż jeden z dwóch sprawdzancyh podciągów."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Złożoność: $ O(n^2) $"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Implementacja"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Top-down (około $ 3x $ wolniejsza niż Bottom-up)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "def lcs_td(A, B):\n",
    "    if not A or not B: return 0\n",
    "    n = len(A)\n",
    "    m = len(B)\n",
    "    F = [[None] * m for _ in range(n)]\n",
    "    \n",
    "    def recur(i, j):\n",
    "        if i < 0 or j < 0: return 0\n",
    "        if F[i][j] is not None: return F[i][j]\n",
    "        \n",
    "        F[i][j] = max((A[i] == B[j]) + recur(i - 1, j - 1),\n",
    "                      recur(i - 1, j),\n",
    "                      recur(i, j - 1))\n",
    "        return F[i][j]\n",
    "    # Start from the back to make it easier to check\n",
    "    # if one of the sequences has already been exhausted\n",
    "    return recur(n - 1, m - 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Kilka testów"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4\n"
     ]
    }
   ],
   "source": [
    "a = 'aabcaca'\n",
    "b = 'abaa'\n",
    "\n",
    "print(lcs_td(a, b))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3\n"
     ]
    }
   ],
   "source": [
    "a = \"abcde\"\n",
    "b = \"ace\"\n",
    "\n",
    "print(lcs_td(a, b))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n"
     ]
    }
   ],
   "source": [
    "a = \"bsbininm\"\n",
    "b = \"jmjkbkjkv\"\n",
    "\n",
    "print(lcs_td(a, b))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Bottom-up"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Całkiem niezła implementacja. Osiąga takie wyniki na leetcode:\n",
    "![image.png](attachment:image.png)\n",
    "LINK do problemu: https://leetcode.com/problems/longest-common-subsequence/submissions/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def lcs_bu(A, B):\n",
    "    if not A or not B: return 0\n",
    "    n = len(A)\n",
    "    m = len(B)\n",
    "    F = [[0] * m for _ in range(n)]\n",
    "    \n",
    "    F[0][0] = int(A[0] == B[0])\n",
    "    # Fill the first row (compare the first value of the array A\n",
    "    # with all the values from the B array)\n",
    "    for j in range(1, m):\n",
    "        if F[0][j - 1] or A[0] == B[j]:\n",
    "            F[0][j] = 1\n",
    "    # Fill the first column (compare the first value of the array B\n",
    "    # with all the values from the A array)\n",
    "    for i in range(1, n):\n",
    "        if F[i - 1][0] or B[0] == A[i]:\n",
    "            F[i][0] = 1\n",
    "    # Fill the remaining array based on values previously calculated\n",
    "    for i in range(1, n):\n",
    "        for j in range(1, m):\n",
    "            if A[i] == B[j]:\n",
    "                F[i][j] = F[i - 1][j - 1] + 1\n",
    "            else:\n",
    "                F[i][j] = max(F[i - 1][j], F[i][j - 1])\n",
    "    \n",
    "    print(*F, sep='\\n')\n",
    "    \n",
    "    return F[n - 1][m - 1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Kilka testów"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 1, 1, 1]\n",
      "[1, 1, 2, 2]\n",
      "[1, 2, 2, 2]\n",
      "[1, 2, 2, 2]\n",
      "[1, 2, 3, 3]\n",
      "[1, 2, 3, 3]\n",
      "[1, 2, 3, 4]\n",
      "4\n"
     ]
    }
   ],
   "source": [
    "a = 'aabcaca'\n",
    "b = 'abaa'\n",
    "\n",
    "print(lcs_bu(a, b))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 1, 1]\n",
      "[1, 1, 1]\n",
      "[1, 2, 2]\n",
      "[1, 2, 2]\n",
      "[1, 2, 3]\n",
      "3\n"
     ]
    }
   ],
   "source": [
    "a = \"abcde\"\n",
    "b = \"ace\"\n",
    "\n",
    "print(lcs_bu(a, b))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 1, 1, 1, 1, 1]\n",
      "[0, 0, 0, 0, 1, 1, 1, 1, 1]\n",
      "[0, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "1\n"
     ]
    }
   ],
   "source": [
    "a = \"bsbininm\"\n",
    "b = \"jmjkbkjkv\"\n",
    "\n",
    "print(lcs_bu(a, b))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### (Dodatkowo) Wypisywanie rozwiązania"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Opis ze strony GeeksforGeeks <br>\n",
    "LINK: https://www.geeksforgeeks.org/printing-longest-common-subsequence/ <br>\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Konieczna jest taka modyfikacja algorytmu, znajdującego najdłuższy wspólny podciąg, aby zwracał on tablicę, na której pracował."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Bottom-up"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def lcs_bu(A, B):\n",
    "    if not A or not B: return 0\n",
    "    n = len(A)\n",
    "    m = len(B)\n",
    "    F = [[0] * m for _ in range(n)]\n",
    "    \n",
    "    F[0][0] = int(A[0] == B[0])\n",
    "    # Fill the first row (compare the first value of the array A\n",
    "    # with all the values from the B array)\n",
    "    for j in range(1, m):\n",
    "        if F[0][j - 1] or A[0] == B[j]:\n",
    "            F[0][j] = 1\n",
    "    # Fill the first column (compare the first value of the array B\n",
    "    # with all the values from the A array)\n",
    "    for i in range(1, n):\n",
    "        if F[i - 1][0] or B[0] == A[i]:\n",
    "            F[i][0] = 1\n",
    "    # Fill the remaining array based on values previously calculated\n",
    "    for i in range(1, n):\n",
    "        for j in range(1, m):\n",
    "            if A[i] == B[j]:\n",
    "                F[i][j] = F[i - 1][j - 1] + 1\n",
    "            else:\n",
    "                F[i][j] = max(F[i - 1][j], F[i][j - 1])\n",
    "    \n",
    "    return F\n",
    "\n",
    "\n",
    "def get_lcs(A, B):\n",
    "    F = lcs_bu(A, B)\n",
    "    n = len(A)\n",
    "    m = len(B)\n",
    "    length = F[n - 1][m - 1]\n",
    "    if not length: return []\n",
    "    R = [None] * length\n",
    "    \n",
    "    i = n - 1\n",
    "    j = m - 1\n",
    "    k = length - 1\n",
    "    while i >= 0 and j >= 0:\n",
    "        if A[i] == B[j]:\n",
    "            R[k] = A[i]\n",
    "            k -= 1\n",
    "            i -= 1\n",
    "            j -= 1\n",
    "        elif F[i - 1][j] < F[i][j - 1]:\n",
    "            j -= 1\n",
    "        else:\n",
    "            i -= 1\n",
    "            \n",
    "    if not R[0]:\n",
    "        for i in range(n):\n",
    "            if F[i][0]: R[0] = B[0]; break\n",
    "        else:\n",
    "            for j in range(m):\n",
    "                if F[0][j]: R[0] = A[0]; break        \n",
    "            \n",
    "    return R"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Kilka testów"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['a', 'b', 'a', 'a']\n"
     ]
    }
   ],
   "source": [
    "a = 'aabcaca'\n",
    "b = 'abaa'\n",
    "\n",
    "print(get_lcs(a, b))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['a', 'c', 'e']\n"
     ]
    }
   ],
   "source": [
    "a = \"abcde\"\n",
    "b = \"ace\"\n",
    "\n",
    "print(get_lcs(a, b))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['b']\n"
     ]
    }
   ],
   "source": [
    "a = \"ababaaabsbininm\"\n",
    "b = \"jmjkbkjkv\"\n",
    "\n",
    "print(get_lcs(a, b))"
   ]
  }
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