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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### Uczenie maszynowe\n",
+    "# 3. Metody ewaluacji i optymalizacji"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## 3.1. Metodologia testowania"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "source": [
+    "W uczeniu maszynowym bardzo ważna jest ewaluacja budowanego modelu. Dlatego dobrze jest podzielić posiadane dane na odrębne zbiory – osobny zbiór danych do uczenia i osobny do testowania. W niektórych przypadkach potrzeba będzie dodatkowo wyodrębnić tzw. zbiór walidacyjny."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### Zbiór uczący a zbiór testowy"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "* Na zbiorze uczącym (treningowym) uczymy algorytmy, a na zbiorze testowym sprawdzamy ich poprawność.\n",
+    "* Zbiór uczący powinien być kilkukrotnie większy od testowego (np. 4:1, 9:1 itp.).\n",
+    "* Zbiór testowy często jest nieznany.\n",
+    "* Należy unikać mieszania danych testowych i treningowych – nie wolno „zanieczyszczać” danych treningowych danymi testowymi!"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "Czasami potrzebujemy dobrać parametry modelu, np. $\\alpha$ – który zbiór wykorzystać do tego celu?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### Zbiór walidacyjny"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "Do doboru parametrów najlepiej użyć jeszcze innego zbioru – jest to tzw. **zbiór walidacyjny**"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    " * Zbiór walidacyjny powinien mieć wielkość zbliżoną do wielkości zbioru testowego, czyli np. dane można podzielić na te trzy zbiory w proporcjach 3:1:1, 8:1:1 itp."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### Walidacja krzyżowa"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "Którą część danych wydzielić jako zbiór walidacyjny tak, żeby było „najlepiej”?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    " * Niech każda partia danych pełni tę rolę naprzemiennie!"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "<img width=\"100%\" src=\"https://chrisjmccormick.files.wordpress.com/2013/07/10_fold_cv.png\"/>\n",
+    "Żródło: https://chrisjmccormick.wordpress.com/2013/07/31/k-fold-cross-validation-with-matlab-code/"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### Walidacja krzyżowa\n",
+    "\n",
+    "* Podziel dane $D = \\left\\{ (x^{(1)}, y^{(1)}), \\ldots, (x^{(m)}, y^{(m)})\\right\\} $ na $N$ rozłącznych zbiorów $T_1,\\ldots,T_N$\n",
+    "* Dla $i=1,\\ldots,N$, wykonaj:\n",
+    "    * Użyj $T_i$ do walidacji i zbiór $S_i$ do trenowania, gdzie $S_i = D \\smallsetminus T_i$. \n",
+    "    * Zapisz model $\\theta_i$.\n",
+    "* Akumuluj wyniki dla modeli $\\theta_i$ dla zbiorów $T_i$.\n",
+    "* Ustalaj parametry uczenia na akumulowanych wynikach."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### Walidacja krzyżowa – wskazówki\n",
+    "\n",
+    "* Zazwyczaj ustala się $N$ w przedziale od $4$ do $10$, tzw. $N$-krotna walidacja krzyżowa (*$N$-fold cross validation*). \n",
+    "* Zbiór $D$ warto zrandomizować przed podziałem.\n",
+    "* W jaki sposób akumulować wyniki dla wszystkich zbiórow $T_i$?\n",
+    "* Po ustaleniu parametrów dla każdego $T_i$, trenujemy model na całych danych treningowych z ustalonymi parametrami.\n",
+    "* Testujemy na zbiorze testowym (jeśli nim dysponujemy)."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### _Leave-one-out_\n",
+    "\n",
+    "Jest to szczególny przypadek walidacji krzyżowej, w której $N = m$."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "* Jaki jest rozmiar pojedynczego zbioru $T_i$?\n",
+    "* Jakie są zalety i wady tej metody?\n",
+    "* Kiedy może być przydatna?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### Zbiór walidujący a algorytmy optymalizacji\n",
+    "\n",
+    "* Gdy błąd rośnie na zbiorze uczącym, mamy źle dobrany parametr $\\alpha$. Należy go wtedy zmniejszyć.\n",
+    "* Gdy błąd zmniejsza się na zbiorze trenującym, ale rośnie na zbiorze walidującym, mamy do czynienia ze zjawiskiem **nadmiernego dopasowania** (*overfitting*).\n",
+    "* Należy wtedy przerwać optymalizację. Automatyzacja tego procesu to _early stopping_."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## 3.2. Miary jakości"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "source": [
+    "Aby przeprowadzić ewaluację modelu, musimy wybrać **miarę** (**metrykę**), jakiej będziemy używać.\n",
+    "\n",
+    "Jakiej miary użyc najlepiej?\n",
+    " * To zależy od rodzaju zadania.\n",
+    " * Innych metryk używa się do regresji, a innych do klasyfikacji"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### Metryki dla zadań regresji\n",
+    "\n",
+    "Dla zadań regresji możemy zastosować np.:\n",
+    " * błąd średniokwadratowy (*root-mean-square error*, RMSE):\n",
+    "   $$ \\mathrm{RMSE} \\, = \\, \\sqrt{ \\frac{1}{m} \\sum_{i=1}^{m} \\left( \\hat{y}^{(i)} - y^{(i)} \\right)^2 } $$\n",
+    " * średni błąd bezwzględny (*mean absolute error*, MAE):\n",
+    "   $$ \\mathrm{MAE} \\, = \\, \\frac{1}{m} \\sum_{i=1}^{m} \\left| \\hat{y}^{(i)} - y^{(i)} \\right| $$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "source": [
+    "W powyższych wzorach $y^{(i)}$ oznacza **oczekiwaną** wartości zmiennej $y$ w $i$-tym przykładzie, a $\\hat{y}^{(i)}$ oznacza wartość zmiennej $y$ w $i$-tym przykładzie wyliczoną (**przewidzianą**) przez nasz model."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### Metryki dla zadań klasyfikacji\n",
+    "\n",
+    "Aby przedstawić kilka najpopularniejszych metryk stosowanych dla zadań klasyfikacyjnych, posłużmy się następującym przykładem:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "# Przydatne importy\n",
+    "\n",
+    "import ipywidgets as widgets\n",
+    "import matplotlib.pyplot as plt\n",
+    "import numpy as np\n",
+    "import pandas\n",
+    "import random\n",
+    "import seaborn\n",
+    "\n",
+    "%matplotlib inline"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "def powerme(x1,x2,n):\n",
+    "    \"\"\"Funkcja, która generuje n potęg dla zmiennych x1 i x2 oraz ich iloczynów\"\"\"\n",
+    "    X = []\n",
+    "    for m in range(n+1):\n",
+    "        for i in range(m+1):\n",
+    "            X.append(np.multiply(np.power(x1,i),np.power(x2,(m-i))))\n",
+    "    return np.hstack(X)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "def plot_data_for_classification(X, Y, xlabel=None, ylabel=None, Y_predicted=[], highlight=None):\n",
+    "    \"\"\"Wykres danych dla zadania klasyfikacji\"\"\"\n",
+    "    fig = plt.figure(figsize=(16*.6, 9*.6))\n",
+    "    ax = fig.add_subplot(111)\n",
+    "    fig.subplots_adjust(left=0.1, right=0.9, bottom=0.1, top=0.9)\n",
+    "    X = X.tolist()\n",
+    "    Y = Y.tolist()\n",
+    "    X1n = [x[1] for x, y in zip(X, Y) if y[0] == 0]\n",
+    "    X1p = [x[1] for x, y in zip(X, Y) if y[0] == 1]\n",
+    "    X2n = [x[2] for x, y in zip(X, Y) if y[0] == 0]\n",
+    "    X2p = [x[2] for x, y in zip(X, Y) if y[0] == 1]\n",
+    "    \n",
+    "    if len(Y_predicted) > 0:\n",
+    "        Y_predicted = Y_predicted.tolist()\n",
+    "        X1tn = [x[1] for x, y, yp in zip(X, Y, Y_predicted) if y[0] == 0 and yp[0] == 0]\n",
+    "        X1fn = [x[1] for x, y, yp in zip(X, Y, Y_predicted) if y[0] == 1 and yp[0] == 0]\n",
+    "        X1tp = [x[1] for x, y, yp in zip(X, Y, Y_predicted) if y[0] == 1 and yp[0] == 1]\n",
+    "        X1fp = [x[1] for x, y, yp in zip(X, Y, Y_predicted) if y[0] == 0 and yp[0] == 1]\n",
+    "        X2tn = [x[2] for x, y, yp in zip(X, Y, Y_predicted) if y[0] == 0 and yp[0] == 0]\n",
+    "        X2fn = [x[2] for x, y, yp in zip(X, Y, Y_predicted) if y[0] == 1 and yp[0] == 0]\n",
+    "        X2tp = [x[2] for x, y, yp in zip(X, Y, Y_predicted) if y[0] == 1 and yp[0] == 1]\n",
+    "        X2fp = [x[2] for x, y, yp in zip(X, Y, Y_predicted) if y[0] == 0 and yp[0] == 1]\n",
+    "    \n",
+    "        if highlight == 'tn':\n",
+    "            ax.scatter(X1tn, X2tn, c='r', marker='x', s=100, label='Dane')\n",
+    "            ax.scatter(X1fn, X2fn, c='k', marker='o', s=50, label='Dane')\n",
+    "            ax.scatter(X1tp, X2tp, c='k', marker='o', s=50, label='Dane')\n",
+    "            ax.scatter(X1fp, X2fp, c='k', marker='x', s=50, label='Dane')\n",
+    "        elif highlight == 'fn':\n",
+    "            ax.scatter(X1tn, X2tn, c='k', marker='x', s=50, label='Dane')\n",
+    "            ax.scatter(X1fn, X2fn, c='g', marker='o', s=100, label='Dane')\n",
+    "            ax.scatter(X1tp, X2tp, c='k', marker='o', s=50, label='Dane')\n",
+    "            ax.scatter(X1fp, X2fp, c='k', marker='x', s=50, label='Dane')\n",
+    "        elif highlight == 'tp':\n",
+    "            ax.scatter(X1tn, X2tn, c='k', marker='x', s=50, label='Dane')\n",
+    "            ax.scatter(X1fn, X2fn, c='k', marker='o', s=50, label='Dane')\n",
+    "            ax.scatter(X1tp, X2tp, c='g', marker='o', s=100, label='Dane')\n",
+    "            ax.scatter(X1fp, X2fp, c='k', marker='x', s=50, label='Dane')\n",
+    "        elif highlight == 'fp':\n",
+    "            ax.scatter(X1tn, X2tn, c='k', marker='x', s=50, label='Dane')\n",
+    "            ax.scatter(X1fn, X2fn, c='k', marker='o', s=50, label='Dane')\n",
+    "            ax.scatter(X1tp, X2tp, c='k', marker='o', s=50, label='Dane')\n",
+    "            ax.scatter(X1fp, X2fp, c='r', marker='x', s=100, label='Dane')\n",
+    "        else:\n",
+    "            ax.scatter(X1tn, X2tn, c='r', marker='x', s=50, label='Dane')\n",
+    "            ax.scatter(X1fn, X2fn, c='g', marker='o', s=50, label='Dane')\n",
+    "            ax.scatter(X1tp, X2tp, c='g', marker='o', s=50, label='Dane')\n",
+    "            ax.scatter(X1fp, X2fp, c='r', marker='x', s=50, label='Dane')\n",
+    "\n",
+    "    else:\n",
+    "        ax.scatter(X1n, X2n, c='r', marker='x', s=50, label='Dane')\n",
+    "        ax.scatter(X1p, X2p, c='g', marker='o', s=50, label='Dane')\n",
+    "    \n",
+    "    if xlabel:\n",
+    "        ax.set_xlabel(xlabel)\n",
+    "    if ylabel:\n",
+    "        ax.set_ylabel(ylabel)\n",
+    "        \n",
+    "    ax.margins(.05, .05)\n",
+    "    return fig"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "# Wczytanie danych\n",
+    "import pandas\n",
+    "import numpy as np\n",
+    "\n",
+    "alldata = pandas.read_csv('data-metrics.tsv', sep='\\t')\n",
+    "data = np.matrix(alldata)\n",
+    "\n",
+    "m, n_plus_1 = data.shape\n",
+    "n = n_plus_1 - 1\n",
+    "\n",
+    "X2 = powerme(data[:, 1], data[:, 2], n)\n",
+    "Y2 = np.matrix(data[:, 0]).reshape(m, 1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 691.2x388.8 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "fig = plot_data_for_classification(X2, Y2, xlabel=r'$x_1$', ylabel=r'$x_2$')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "def safeSigmoid(x, eps=0):\n",
+    "    \"\"\"Funkcja sigmoidalna zmodyfikowana w taki sposób, \n",
+    "    żeby wartości zawsze były odległe od asymptot o co najmniej eps\n",
+    "    \"\"\"\n",
+    "    y = 1.0/(1.0 + np.exp(-x))\n",
+    "    if eps > 0:\n",
+    "        y[y < eps] = eps\n",
+    "        y[y > 1 - eps] = 1 - eps\n",
+    "    return y\n",
+    "\n",
+    "def h(theta, X, eps=0.0):\n",
+    "    \"\"\"Funkcja hipotezy (regresja logistyczna)\"\"\"\n",
+    "    return safeSigmoid(X*theta, eps)\n",
+    "\n",
+    "def J(h,theta,X,y, lamb=0):\n",
+    "    \"\"\"Funkcja kosztu dla regresji logistycznej\"\"\"\n",
+    "    m = len(y)\n",
+    "    f = h(theta, X, eps=10**-7)\n",
+    "    j = -np.sum(np.multiply(y, np.log(f)) + \n",
+    "                np.multiply(1 - y, np.log(1 - f)), axis=0)/m\n",
+    "    if lamb > 0:\n",
+    "        j += lamb/(2*m) * np.sum(np.power(theta[1:],2))\n",
+    "    return j\n",
+    "\n",
+    "def dJ(h,theta,X,y,lamb=0):\n",
+    "    \"\"\"Gradient funkcji kosztu\"\"\"\n",
+    "    g = 1.0/y.shape[0]*(X.T*(h(theta,X)-y))\n",
+    "    if lamb > 0:\n",
+    "        g[1:] += lamb/float(y.shape[0]) * theta[1:] \n",
+    "    return g\n",
+    "\n",
+    "def classifyBi(theta, X):\n",
+    "    \"\"\"Funkcja predykcji - klasyfikacja dwuklasowa\"\"\"\n",
+    "    prob = h(theta, X)\n",
+    "    return prob"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "def GD(h, fJ, fdJ, theta, X, y, alpha=0.01, eps=10**-3, maxSteps=10000):\n",
+    "    \"\"\"Metoda gradientu prostego dla regresji logistycznej\"\"\"\n",
+    "    errorCurr = fJ(h, theta, X, y)\n",
+    "    errors = [[errorCurr, theta]]\n",
+    "    while True:\n",
+    "        # oblicz nowe theta\n",
+    "        theta = theta - alpha * fdJ(h, theta, X, y)\n",
+    "        # raportuj poziom błędu\n",
+    "        errorCurr, errorPrev = fJ(h, theta, X, y), errorCurr\n",
+    "        # kryteria stopu\n",
+    "        if abs(errorPrev - errorCurr) <= eps:\n",
+    "            break\n",
+    "        if len(errors) > maxSteps:\n",
+    "            break\n",
+    "        errors.append([errorCurr, theta]) \n",
+    "    return theta, errors"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta = [[ 1.37136167]\n",
+      " [ 0.90128948]\n",
+      " [ 0.54708112]\n",
+      " [-5.9929264 ]\n",
+      " [ 2.64435168]\n",
+      " [-4.27978238]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Uruchomienie metody gradientu prostego dla regresji logistycznej\n",
+    "theta_start = np.matrix(np.zeros(X2.shape[1])).reshape(X2.shape[1],1)\n",
+    "theta, errors = GD(h, J, dJ, theta_start, X2, Y2, \n",
+    "                       alpha=0.1, eps=10**-7, maxSteps=10000)\n",
+    "print('theta = {}'.format(theta))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "def plot_decision_boundary(fig, theta, X):\n",
+    "    \"\"\"Wykres granicy klas\"\"\"\n",
+    "    ax = fig.axes[0]\n",
+    "    xx, yy = np.meshgrid(np.arange(-1.0, 1.0, 0.02),\n",
+    "                         np.arange(-1.0, 1.0, 0.02))\n",
+    "    l = len(xx.ravel())\n",
+    "    C = powerme(xx.reshape(l, 1), yy.reshape(l, 1), n)\n",
+    "    z = classifyBi(theta, C).reshape(int(np.sqrt(l)), int(np.sqrt(l)))\n",
+    "\n",
+    "    plt.contour(xx, yy, z, levels=[0.5], lw=3);"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "Y_expected = Y2.astype(int)\n",
+    "Y_predicted = (classifyBi(theta, X2) > 0.5).astype(int)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "# Przygotowanie interaktywnego wykresu\n",
+    "\n",
+    "dropdown_highlight = widgets.Dropdown(options=['all', 'tp', 'fp', 'tn', 'fn'], value='all', description='highlight')\n",
+    "\n",
+    "def interactive_classification(highlight):\n",
+    "    fig = plot_data_for_classification(X2, Y2, xlabel=r'$x_1$', ylabel=r'$x_2$',\n",
+    "                                       Y_predicted=Y_predicted, highlight=highlight)\n",
+    "    plot_decision_boundary(fig, theta, X2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/home/pawel/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:10: UserWarning: The following kwargs were not used by contour: 'lw'\n",
+      "  # Remove the CWD from sys.path while we load stuff.\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 691.2x388.8 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/plain": [
+       "<function __main__.interactive_classification(highlight)>"
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "widgets.interact(interactive_classification, highlight=dropdown_highlight)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "Zadanie klasyfikacyjne z powyższego przykładu polega na przypisaniu punktów do jednej z dwóch kategorii:\n",
+    " 0. <font color=\"red\">czerwone krzyżyki</font>\n",
+    " 1. <font color=\"green\">zielone kółka</font>\n",
+    "\n",
+    "W tym celu zastosowano regresję logistyczną."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "W rezultacie otrzymano model, który dzieli płaszczyznę na dwa obszary:\n",
+    " 0. <font color=\"red\">na zewnątrz granatowej krzywej</font>\n",
+    " 1. <font color=\"green\">wewnątrz granatowej krzywej</font>\n",
+    " \n",
+    "Model przewiduje klasę <font color=\"red\">0 („czerwoną”)</font> dla punktów znajdujący się w obszarze na zewnątrz krzywej, natomiast klasę <font color=\"green\">1 („zieloną”)</font> dla punktów znajdujących sie w obszarze wewnąrz krzywej."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "Wszysktie obserwacje możemy podzielić zatem na cztery grupy:\n",
+    " * **true positives (TP)** – prawidłowo sklasyfikowane pozytywne przykłady (<font color=\"green\">zielone kółka</font> w <font color=\"green\">wewnętrznym obszarze</font>)\n",
+    " * **true negatives (TN)** – prawidłowo sklasyfikowane negatywne przykłady (<font color=\"red\">czerwone krzyżyki</font> w <font color=\"red\">zewnętrznym obszarze</font>)\n",
+    " * **false positives (FP)** – negatywne przykłady sklasyfikowane jako pozytywne (<font color=\"red\">czerwone krzyżyki</font> w <font color=\"green\">wewnętrznym obszarze</font>)\n",
+    " * **false negatives (FN)** – pozytywne przykłady sklasyfikowane jako negatywne (<font color=\"green\">zielone kółka</font> w <font color=\"red\">zewnętrznym obszarze</font>)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "Innymi słowy:\n",
+    "\n",
+    "<img width=\"50%\" src=\"https://blog.aimultiple.com/wp-content/uploads/2019/07/positive-negative-true-false-matrix.png\">"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "skip"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "TP = 5\n",
+      "TN = 35\n",
+      "FP = 3\n",
+      "FN = 6\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Obliczmy TP, TN, FP i FN\n",
+    "\n",
+    "tp = 0\n",
+    "tn = 0\n",
+    "fp = 0\n",
+    "fn = 0\n",
+    "\n",
+    "for i in range(len(Y_expected)):\n",
+    "    if Y_expected[i] == 1 and Y_predicted[i] == 1:\n",
+    "        tp += 1\n",
+    "    elif Y_expected[i] == 0 and Y_predicted[i] == 0:\n",
+    "        tn += 1\n",
+    "    elif Y_expected[i] == 0 and Y_predicted[i] == 1:\n",
+    "        fp += 1\n",
+    "    elif Y_expected[i] == 1 and Y_predicted[i] == 0:\n",
+    "        fn += 1\n",
+    "        \n",
+    "print('TP =', tp)\n",
+    "print('TN =', tn)\n",
+    "print('FP =', fp)\n",
+    "print('FN =', fn)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "skip"
+    }
+   },
+   "source": [
+    "Możemy teraz zdefiniować następujące metryki:"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "#### Dokładność (*accuracy*)\n",
+    "$$ \\mbox{accuracy} = \\frac{\\mbox{przypadki poprawnie sklasyfikowane}}{\\mbox{wszystkie przypadki}} = \\frac{TP + TN}{TP + TN + FP + FN} $$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "source": [
+    "Dokładność otrzymujemy przez podzielenie liczby przypadków poprawnie sklasyfikowanych przez liczbę wszystkich przypadków:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Accuracy: 0.8163265306122449\n"
+     ]
+    }
+   ],
+   "source": [
+    "accuracy = (tp + tn) / (tp + tn + fp + fn)\n",
+    "print('Accuracy:', accuracy)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "source": [
+    "**Uwaga:** Nie zawsze dokładność będzie dobrą miarą, zwłaszcza gdy klasy są bardzo asymetryczne!\n",
+    "\n",
+    "*Przykład:* Wyobraźmy sobie test na koronawirusa, który **zawsze** zwraca wynik negatywny. Jaką przydatność będzie miał taki test w praktyce? Żadną. A jaka będzie jego *dokładność*? Policzmy:\n",
+    "$$ \\mbox{accuracy} \\, = \\, \\frac{\\mbox{szacowana liczba osób zdrowych na świecie}}{\\mbox{populacja Ziemi}} \\, \\approx \\, \\frac{7\\,700\\,000\\,000 - 600\\,000}{7\\,700\\,000\\,000} \\, \\approx \\, 0.99992 $$\n",
+    "(zaokrąglone dane z 27 marca 2020)\n",
+    "\n",
+    "Powyższy wynik jest tak wysoki, ponieważ zdecydowana większość osób na świecie nie jest zakażona, więc biorąc losowego Ziemianina możemy w ciemno strzelać, że nie ma koronawirusa.\n",
+    "\n",
+    "W tym przypadku duża różnica w liczności obu zbiorów (zakażeni/niezakażeni) powoduje, że *accuracy* nie jest dobrą metryką.\n",
+    "\n",
+    "Dlatego dysponujemy również innymi metrykami:"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "#### Precyzja (*precision*)\n",
+    "$$ \\mbox{precision} = \\frac{TP}{TP + FP} $$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Precision: 0.625\n"
+     ]
+    }
+   ],
+   "source": [
+    "precision = tp / (tp + fp)\n",
+    "print('Precision:', precision)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "source": [
+    "Precyzja określa, jaka część przykładów sklasyfikowanych jako pozytywne to faktycznie przykłady pozytywne."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "#### Pokrycie (czułość, *recall*)\n",
+    "$$ \\mbox{recall} = \\frac{TP}{TP + FN} $$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Recall: 0.45454545454545453\n"
+     ]
+    }
+   ],
+   "source": [
+    "recall = tp / (tp + fn)\n",
+    "print('Recall:', recall)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "source": [
+    "Pokrycie mówi nam, jaka część przykładów pozytywnych została poprawnie sklasyfikowana."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "#### *$F$-measure* (*$F$-score*)\n",
+    "$$ F = \\frac{2 \\cdot \\mbox{precision} \\cdot \\mbox{recall}}{\\mbox{precision} + \\mbox{recall}} $$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "F-score: 0.5263157894736842\n"
+     ]
+    }
+   ],
+   "source": [
+    "fscore = (2 * precision * recall) / (precision + recall)\n",
+    "print('F-score:', fscore)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "source": [
+    "$F$-_measure_ jest kompromisem między precyzją a pokryciem (a ściślej: jest średnią harmoniczną precyzji i pokrycia)."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "$F$-_measure_ jest szczególnym przypadkiem ogólniejszej miary:"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "*$F_\\beta$-measure*:\n",
+    "$$ F_\\beta = \\frac{(1 + \\beta) \\cdot \\mbox{precision} \\cdot \\mbox{recall}}{\\beta^2 \\cdot \\mbox{precision} + \\mbox{recall}} $$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "Dla $\\beta = 1$ otrzymujemy:\n",
+    "$$ F_1 \\, = \\, \\frac{(1 + 1) \\cdot \\mbox{precision} \\cdot \\mbox{recall}}{1^2 \\cdot \\mbox{precision} + \\mbox{recall}} \\, = \\, \\frac{2 \\cdot \\mbox{precision} \\cdot \\mbox{recall}}{\\mbox{precision} + \\mbox{recall}} \\, = \\, F $$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## 3.3. Obserwacje odstające"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "source": [
+    "**Obserwacje odstające** (*outliers*) – to wszelkie obserwacje posiadające nietypową wartość.\n",
+    "\n",
+    "Mogą być na przykład rezultatem błędnego pomiaru albo pomyłki przy wprowadzaniu danych do bazy, ale nie tylko.\n",
+    "\n",
+    "Obserwacje odstające mogą niekiedy znacząco wpłynąć na parametry modelu, dlatego ważne jest, żeby takie obserwacje odrzucić zanim przystąpi się do tworzenia modelu."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "source": [
+    "W poniższym przykładzie można zobaczyć wpływ obserwacji odstających na wynik modelowania na przykładzie danych dotyczących cen mieszkań zebranych z ogłoszeń na portalu Gratka.pl: tutaj przykładem obserwacji odstającej może być ogłoszenie, w którym podano cenę w tys. zł zamiast ceny w zł."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "# Przydatne funkcje\n",
+    "\n",
+    "def h_linear(Theta, x):\n",
+    "    \"\"\"Funkcja regresji liniowej\"\"\"\n",
+    "    return x * Theta\n",
+    "\n",
+    "def linear_regression(theta):\n",
+    "    \"\"\"Ta funkcja zwraca funkcję regresji liniowej dla danego wektora parametrów theta\"\"\"\n",
+    "    return lambda x: h_linear(theta, x)\n",
+    "\n",
+    "def cost(theta, X, y):\n",
+    "    \"\"\"Wersja macierzowa funkcji kosztu\"\"\"\n",
+    "    m = len(y)\n",
+    "    J = 1.0 / (2.0 * m) * ((X * theta - y).T * (X * theta - y))\n",
+    "    return J.item()\n",
+    "\n",
+    "def gradient(theta, X, y):\n",
+    "    \"\"\"Wersja macierzowa gradientu funkcji kosztu\"\"\"\n",
+    "    return 1.0 / len(y) * (X.T * (X * theta - y)) \n",
+    "\n",
+    "def gradient_descent(fJ, fdJ, theta, X, y, alpha=0.1, eps=10**-5):\n",
+    "    \"\"\"Algorytm gradientu prostego (wersja macierzowa)\"\"\"\n",
+    "    current_cost = fJ(theta, X, y)\n",
+    "    logs = [[current_cost, theta]]\n",
+    "    while True:\n",
+    "        theta = theta - alpha * fdJ(theta, X, y)\n",
+    "        current_cost, prev_cost = fJ(theta, X, y), current_cost\n",
+    "        if abs(prev_cost - current_cost) > 10**15:\n",
+    "            print('Algorithm does not converge!')\n",
+    "            break\n",
+    "        if abs(prev_cost - current_cost) <= eps:\n",
+    "            break\n",
+    "        logs.append([current_cost, theta]) \n",
+    "    return theta, logs\n",
+    "\n",
+    "def plot_data(X, y, xlabel, ylabel):\n",
+    "    \"\"\"Wykres danych (wersja macierzowa)\"\"\"\n",
+    "    fig = plt.figure(figsize=(16*.6, 9*.6))\n",
+    "    ax = fig.add_subplot(111)\n",
+    "    fig.subplots_adjust(left=0.1, right=0.9, bottom=0.1, top=0.9)\n",
+    "    ax.scatter([X[:, 1]], [y], c='r', s=50, label='Dane')\n",
+    "    \n",
+    "    ax.set_xlabel(xlabel)\n",
+    "    ax.set_ylabel(ylabel)\n",
+    "    ax.margins(.05, .05)\n",
+    "    plt.ylim(y.min() - 1, y.max() + 1)\n",
+    "    plt.xlim(np.min(X[:, 1]) - 1, np.max(X[:, 1]) + 1)\n",
+    "    return fig\n",
+    "\n",
+    "def plot_regression(fig, fun, theta, X):\n",
+    "    \"\"\"Wykres krzywej regresji (wersja macierzowa)\"\"\"\n",
+    "    ax = fig.axes[0]\n",
+    "    x0 = np.min(X[:, 1]) - 1.0\n",
+    "    x1 = np.max(X[:, 1]) + 1.0\n",
+    "    L = [x0, x1]\n",
+    "    LX = np.matrix([1, x0, 1, x1]).reshape(2, 2)\n",
+    "    ax.plot(L, fun(theta, LX), linewidth='2',\n",
+    "            label=(r'$y={theta0:.2}{op}{theta1:.2}x$'.format(\n",
+    "                theta0=float(theta[0][0]),\n",
+    "                theta1=(float(theta[1][0]) if theta[1][0] >= 0 else float(-theta[1][0])),\n",
+    "                op='+' if theta[1][0] >= 0 else '-')))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "# Wczytanie danych (mieszkania) przy pomocy biblioteki pandas\n",
+    "\n",
+    "alldata = pandas.read_csv('data_flats_with_outliers.tsv', sep='\\t',\n",
+    "                         names=['price', 'isNew', 'rooms', 'floor', 'location', 'sqrMetres'])\n",
+    "data = np.matrix(alldata[['price', 'sqrMetres']])\n",
+    "\n",
+    "m, n_plus_1 = data.shape\n",
+    "n = n_plus_1 - 1\n",
+    "Xn = data[:, 0:n]\n",
+    "\n",
+    "Xo = np.matrix(np.concatenate((np.ones((m, 1)), Xn), axis=1)).reshape(m, n + 1)\n",
+    "yo = np.matrix(data[:, -1]).reshape(m, 1)\n",
+    "\n",
+    "Xo /= np.amax(Xo, axis=0)\n",
+    "yo /= np.amax(yo, axis=0)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 691.2x388.8 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "fig = plot_data(Xo, yo, xlabel=u'metraż', ylabel=u'cena')\n",
+    "theta_start = np.matrix([0.0, 0.0]).reshape(2, 1)\n",
+    "theta, logs = gradient_descent(cost, gradient, theta_start, Xo, yo, alpha=0.01)\n",
+    "plot_regression(fig, h_linear, theta, Xo)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "source": [
+    "Na powyższym przykładzie obserwacja odstająca jawi sie jako pojedynczy punkt po prawej stronie wykresu. Widzimy, że otrzymana krzywa regresji zamiast odwzorowywać ogólny trend, próbuje „dopasować się” do tej pojedynczej obserwacji.\n",
+    "\n",
+    "Dlatego taką obserwację należy usunąć ze zbioru danych (zobacz ponizej)."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "# Odrzućmy obserwacje odstające\n",
+    "alldata_no_outliers = [\n",
+    "    (index, item) for index, item in alldata.iterrows() \n",
+    "    if item.price > 100 and item.sqrMetres > 10]\n",
+    "\n",
+    "alldata_no_outliers = alldata.loc[(alldata['price'] > 100) & (alldata['sqrMetres'] > 100)]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "data = np.matrix(alldata_no_outliers[['price', 'sqrMetres']])\n",
+    "\n",
+    "m, n_plus_1 = data.shape\n",
+    "n = n_plus_1 - 1\n",
+    "Xn = data[:, 0:n]\n",
+    "\n",
+    "Xo = np.matrix(np.concatenate((np.ones((m, 1)), Xn), axis=1)).reshape(m, n + 1)\n",
+    "yo = np.matrix(data[:, -1]).reshape(m, 1)\n",
+    "\n",
+    "Xo /= np.amax(Xo, axis=0)\n",
+    "yo /= np.amax(yo, axis=0)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {
+    "scrolled": true,
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 691.2x388.8 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "fig = plot_data(Xo, yo, xlabel=u'metraż', ylabel=u'cena')\n",
+    "theta_start = np.matrix([0.0, 0.0]).reshape(2, 1)\n",
+    "theta, logs = gradient_descent(cost, gradient, theta_start, Xo, yo, alpha=0.01)\n",
+    "plot_regression(fig, h_linear, theta, Xo)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "source": [
+    "Na powyższym wykresie widać, że po odrzuceniu obserwacji odstających otrzymujemy dużo bardziej „wiarygodną” krzywą regresji."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## 3.4. Warianty metody gradientu prostego\n",
+    "\n",
+    "* Batch gradient descent\n",
+    "* Stochastic gradient descent\n",
+    "* Mini-batch gradient descent"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### _Batch gradient descent_\n",
+    "\n",
+    "* Klasyczna wersja metody gradientu prostego\n",
+    "* Obliczamy gradient funkcji kosztu względem całego zbioru treningowego:\n",
+    "  $$ \\theta := \\theta - \\alpha \\cdot \\nabla_\\theta J(\\theta) $$\n",
+    "* Dlatego może działać bardzo powoli\n",
+    "* Nie można dodawać nowych przykładów na bieżąco w trakcie trenowania modelu (*online learning*)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### *Stochastic gradient descent* (SGD)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "#### Algorytm\n",
+    "\n",
+    "Powtórz określoną liczbę razy (liczba epok):\n",
+    "  1. Randomizuj dane treningowe\n",
+    "  1. Powtórz dla każdego przykładu $i = 1, 2, \\ldots, m$:\n",
+    "    $$ \\theta := \\theta - \\alpha \\cdot \\nabla_\\theta \\, J \\! \\left( \\theta, x^{(i)}, y^{(i)} \\right) $$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "notes"
+    }
+   },
+   "source": [
+    "**Randomizacja danych** to losowe potasowanie przykładów uczących (wraz z odpowiedziami)."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "#### SGD - zalety\n",
+    "\n",
+    "* Dużo szybszy niż _batch gradient descent_\n",
+    "* Można dodawać nowe przykłady na bieżąco w trakcie trenowania (*online learning*)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "#### SGD\n",
+    "\n",
+    "* Częsta aktualizacja parametrów z dużą wariancją:\n",
+    "\n",
+    "<img src=\"http://ruder.io/content/images/2016/09/sgd_fluctuation.png\" style=\"margin: auto;\" width=\"50%\" />\n",
+    "\n",
+    "* Z jednej strony dzięki temu nie utyka w złych minimach lokalnych, ale z drugiej strony może „wyskoczyć” z dobrego minimum"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### _Mini-batch gradient descent_"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "#### Algorytm\n",
+    "\n",
+    "1. Ustal rozmiar \"paczki/wsadu\" (*batch*) $b \\leq m$.\n",
+    "2. Powtórz określoną liczbę razy (liczba epok):\n",
+    "  1. Powtórz dla każdego batcha (czyli dla $i = 1, 1 + b, 1 + 2 b, \\ldots$):\n",
+    "  $$ \\theta := \\theta - \\alpha \\cdot \\nabla_\\theta \\, J \\left( \\theta, x^{(i : i+b)}, y^{(i : i+b)} \\right) $$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "#### _Mini-batch gradient descent_\n",
+    "\n",
+    "* Kompromis między _batch gradient descent_ i SGD\n",
+    "* Stabilniejsza zbieżność dzięki redukcji wariancji aktualizacji parametrów\n",
+    "* Szybszy niż klasyczny _batch gradient descent_\n",
+    "* Typowa wielkość batcha: między kilka a kilkaset przykładów\n",
+    "  * Im większy batch, tym bliżej do BGD; im mniejszy batch, tym bliżej do SGD\n",
+    "  * BGD i SGD można traktować jako odmiany MBGD dla $b = m$ i $b = 1$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "skip"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "# Mini-batch gradient descent - przykładowa implementacja\n",
+    "\n",
+    "def MiniBatchSGD(h, fJ, fdJ, theta, X, y, \n",
+    "        alpha=0.001, maxEpochs=1.0, batchSize=100, \n",
+    "        logError=True):\n",
+    "    errorsX, errorsY = [], []\n",
+    "    \n",
+    "    m, n = X.shape\n",
+    "    start, end = 0, batchSize\n",
+    "    \n",
+    "    maxSteps = (m * float(maxEpochs)) / batchSize\n",
+    "    for i in range(int(maxSteps)):\n",
+    "        XBatch, yBatch =  X[start:end,:], y[start:end,:]\n",
+    "\n",
+    "        theta = theta - alpha * fdJ(h, theta, XBatch, yBatch)\n",
+    "        \n",
+    "        if logError:\n",
+    "            errorsX.append(float(i*batchSize)/m)\n",
+    "            errorsY.append(fJ(h, theta, XBatch, yBatch).item())\n",
+    "        \n",
+    "        if start + batchSize < m:\n",
+    "            start += batchSize\n",
+    "        else:\n",
+    "            start = 0\n",
+    "        end = min(start + batchSize, m)\n",
+    "        \n",
+    "    return theta, (errorsX, errorsY)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "Porównanie uśrednionych krzywych uczenia na przykładzie klasyfikacji dwuklasowej zbioru [MNIST](https://en.wikipedia.org/wiki/MNIST_database):\n",
+    "\n",
+    "<img src=\"sgd-comparison.png\" width=\"70%\" />"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### Wady klasycznej metody gradientu prostego, czyli dlaczego potrzebujemy optymalizacji\n",
+    "\n",
+    "* Trudno dobrać właściwą szybkość uczenia (*learning rate*)\n",
+    "* Jedna ustalona wartość stałej uczenia się dla wszystkich parametrów\n",
+    "* Funkcja kosztu dla sieci neuronowych nie jest wypukła, więc uczenie może utknąć w złym minimum lokalnym lub punkcie siodłowym"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## 3.5. Algorytmy optymalizacji metody gradientu\n",
+    "\n",
+    "* Momentum\n",
+    "* Nesterov Accelerated Gradient\n",
+    "* Adagrad\n",
+    "* Adadelta\n",
+    "* RMSprop\n",
+    "* Adam\n",
+    "* Nadam\n",
+    "* AMSGrad"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### Momentum\n",
+    "\n",
+    "* SGD źle radzi sobie w „wąwozach” funkcji kosztu\n",
+    "* Momentum rozwiązuje ten problem przez dodanie współczynnika $\\gamma$, który można trakować jako „pęd” spadającej piłki:\n",
+    "  $$ v_t := \\gamma \\, v_{t-1} + \\alpha \\, \\nabla_\\theta J(\\theta) $$\n",
+    "  $$ \\theta := \\theta - v_t $$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### Przyspiesony gradient Nesterova (*Nesterov Accelerated Gradient*, NAG)\n",
+    "\n",
+    "* Momentum czasami powoduje niekontrolowane rozpędzanie się piłki, przez co staje się „mniej sterowna”\n",
+    "* Nesterov do piłki posiadającej pęd dodaje „hamulec”, który spowalnia piłkę przed wzniesieniem:\n",
+    "  $$ v_t := \\gamma \\, v_{t-1} + \\alpha \\, \\nabla_\\theta J(\\theta - \\gamma \\, v_{t-1}) $$\n",
+    "  $$ \\theta := \\theta - v_t $$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### Adagrad\n",
+    "\n",
+    "* “<b>Ada</b>ptive <b>grad</b>ient”\n",
+    "* Adagrad dostosowuje współczynnik uczenia (*learning rate*) do parametrów: zmniejsza go dla cech występujących częściej, a zwiększa dla występujących rzadziej:\n",
+    "* Świetny do trenowania na rzadkich (*sparse*) zbiorach danych\n",
+    "* Wada: współczynnik uczenia może czasami gwałtownie maleć\n",
+    "* Wyniki badań pokazują, że często **starannie** dobrane $\\alpha$ daje lepsze wyniki na zbiorze testowym"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### Adadelta i RMSprop\n",
+    "* Warianty algorytmu Adagrad, które radzą sobie z problemem gwałtownych zmian współczynnika uczenia"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### Adam\n",
+    "\n",
+    "* “<b>Ada</b>ptive <b>m</b>oment estimation”\n",
+    "* Łączy zalety algorytmów RMSprop i Momentum\n",
+    "* Można go porównać do piłki mającej ciężar i opór\n",
+    "* Obecnie jeden z najpopularniejszych algorytmów optymalizacji"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### Nadam\n",
+    "* “<b>N</b>esterov-accelerated <b>ada</b>ptive <b>m</b>oment estimation”\n",
+    "* Łączy zalety algorytmów Adam i Nesterov Accelerated Gradient"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "### AMSGrad\n",
+    "* Wariant algorytmu Adam lepiej dostosowany do zadań takich jak rozpoznawanie obiektów czy tłumaczenie maszynowe"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "<img src=\"contours_evaluation_optimizers.gif\" style=\"margin: auto;\" width=\"80%\" />"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "<img src=\"saddle_point_evaluation_optimizers.gif\" style=\"margin: auto;\" width=\"80%\" />"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## 3.6. Metody zbiorcze"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    " * **Metody zbiorcze** (*ensemble methods*) używają połączonych sił wielu modeli uczenia maszynowego w celu uzyskania lepszej skuteczności niż mogłaby być osiągnięta przez każdy z tych modeli z osobna."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    " * Na metodę zbiorczą składa się:\n",
+    "   * dobór modeli\n",
+    "   * sposób agregacji wyników"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    " * Warto zastosować randomizację, czyli przetasować zbiór uczący przed trenowaniem każdego modelu."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### Uśrednianie prawdopodobieństw"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "#### Przykład\n",
+    "\n",
+    "Mamy 3 modele, które dla klas $c=1, 2, 3, 4, 5$ zwróciły prawdopodobieństwa:\n",
+    "\n",
+    "* $M_1$: [0.10, 0.40, **0.50**, 0.00, 0.00]\n",
+    "* $M_2$: [0.10, **0.60**, 0.20, 0.00, 0.10]\n",
+    "* $M_3$: [0.10, 0.30, **0.40**, 0.00, 0.20]\n",
+    "\n",
+    "Która klasa zostanie wybrana według średnich prawdopodobieństw dla każdej klasy?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "Średnie prawdopodobieństwo: [0.10, **0.43**, 0.36, 0.00, 0.10]\n",
+    "\n",
+    "Została wybrana klasa $c = 2$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### Głosowanie klas"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "#### Przykład\n",
+    "\n",
+    "Mamy 3 modele, które dla klas $c=1, 2, 3, 4, 5$ zwróciły prawdopodobieństwa:\n",
+    "\n",
+    "* $M_1$: [0.10, 0.40, **0.50**, 0.00, 0.00]\n",
+    "* $M_2$: [0.10, **0.60**, 0.20, 0.00, 0.10]\n",
+    "* $M_3$: [0.10, 0.30, **0.40**, 0.00, 0.20]\n",
+    "\n",
+    "Która klasa zostanie wybrana według głosowania?"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "source": [
+    "Liczba głosów: [0, 1, **2**, 0, 0]\n",
+    "\n",
+    "Została wybrana klasa $c = 3$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### Inne metody zbiorcze\n",
+    "\n",
+    " * Bagging\n",
+    " * Boostng\n",
+    " * Stacking\n",
+    " \n",
+    "https://towardsdatascience.com/ensemble-methods-bagging-boosting-and-stacking-c9214a10a205"
+   ]
+  }
+ ],
+ "metadata": {
+  "celltoolbar": "Slideshow",
+  "kernelspec": {
+   "display_name": "Python 3",
+   "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": "3.8.3"
+  },
+  "livereveal": {
+   "start_slideshow_at": "selected",
+   "theme": "white"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
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index 0000000..e9d54d0
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diff --git a/wyk/data-metrics.tsv b/wyk/data-metrics.tsv
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diff --git a/wyk/data_flats_with_outliers.tsv b/wyk/data_flats_with_outliers.tsv
new file mode 100644
index 0000000..607342a
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+249000.0	True	2	1	Wilda	65
+325000.0	True	2	3	Stare	50
+265000.0	True	2	11	Rataje	80
+384000.0	True	3	2	Piątkowo	90
+290000.0	True	3	2	Winogrady	47
+209000.0	True	2	0	Dębiec	37
+289000.0	True	3	0	Rataje	50
+310000.0	True	3	4	Rataje	62
+699000.0	True	2	1	Grunwald	68
+195000.0	True	2	1	Grunwald	31
+339000.0	True	3	1	Nowe	88
+359000.0	True	3	4	Nowe	10
+299000.0	True	2	0	Jeżyce	60
+460000.0	True	4	2	Sołacz	68
+355647.0	False	3	3	Dolna	89
+363000.0	False	3	0	Junikowo	45
+343400.0	True	2	1	Wilda	68
+259000.0	True	2	2	Nowe	40
+525000.0	True	4	3	Nowe	88
+289000.0	True	2	7	Winiary	49
+445000.0	False	5	0	Plewiska	104
+305000.0	True	3	4	Rataje	63
+309000.0	True	3	9	Rataje	64
+355000.0	False	3	0	Junikowo	64
+429000.0	True	3	0	Jeżyce	30
+487000.0	True	3	0	Stare	83
+350000.0	True	4	1	Stare	50
+270000.0	True	2	2	Sołacz	49
+439000.0	True	2	3	Jeżyce	60
+350000.0	False	4	0	Plewiska	80
+479000.0	True	3	3	Grunwald	23
+695000.0	True	3	2	Jeżyce	71
+249000.0	True	2	1	Grunwald	56
+295000.0	True	2	0	Winogrady	36
+240000.0	True	2	5	Rataje	43
+847000.0	True	4	2	Piątkowo	113
+298000.0	True	3	1	Rataje	30
+406550.0	True	3	1	Jeżyce	23
+349000.0	True	2	4	Jeżyce	89
+299000.0	True	2	2	Grunwald	35
+529900.0	True	4	1	Podolany	103
+779000.0	True	3	2	Stary	113
+297600.0	False	2	3	Winogrady	47
+336474.0	False	3	4	Winogrady	27
+285678.0	False	2	2	Winogrady	42
+290970.0	False	2	0	Winogrady	60
+295120.0	False	2	1	Winogrady	60
+285200.0	False	2	1	Winogrady	46
+291838.0	False	2	1	Starołęka	55
+348750.0	False	2	3	Centrum	47
+349668.0	False	2	1	Garbary	44
+244071.0	False	2	2	Starołęka	52
+311515.0	False	2	4	Grunwald	49
+296810.0	False	2	2	Grunwald	30
+321656.0	False	2	1	Winogrady	88
+286445.0	False	2	2	Winogrady	49
+299513.0	False	2	1	Starołęka	85
+349785.0	False	3	1	Malta	52
+442827.0	False	4	2	Starołęka	14
+302176.0	False	2	2	Malta	45
+285383.0	False	2	4	Winogrady	37
+377200.0	False	3	3	Grunwald	66
+327584.0	False	3	3	Grunwald	21
+308039.0	False	2	0	Winogrady	21
+377917.0	False	3	2	Grunwald	44
+277039.0	False	2	1	Malta	66
+285678.0	False	2	2	Winogrady	42
+186600.0	False	2	2	Starołęka	62
+156085.0	False	2	2	Głuszyna	54
+225316.0	False	2	0	Starołęka	33
+303287.0	False	2	3	Grunwald	13
+280860.0	False	2	1	Winogrady	30
+272800.0	False	2	5	Winogrady	44
+357000.0	True	3	3	Rataje	90
+210000.0	True	2	2	Grunwald	40
+399000.0	True	3	5	Grunwald	81
+363000.0	True	3	2	Grunwald	77
+400000.0	True	3	3	Stare	70
+420000.0	True	3	1	Podolany	85
+375000.0	False	5	0	Plewiska	96
+465000.0	False	5	0	Plewiska	117
+259000.0	True	3	4	Piątkowo	60
+229000.0	True	4	3	Wilda	54
+330000.0	True	2	3	Wilda	53
+389000.0	True	3	3	Stare	49
+275000.0	True	2	9	Winogrady	10
+289000.0	True	2	2	Naramowice	50
+279000.0	True	3	4	Stare	50
+139000.0	True	3	1	Nowe	56
+275000.0	True	2	4	Jeżyce	90
+229000.0	True	2	4	Grunwald	30
+378000.0	True	2	4	Wilda	52
+299000.0	True	2	2	Grunwald	35
+299000.0	True	2	4	Centrum	50
+695000.0	True	5	0	Jeżyce	150
+323000.0	True	2	0	Jeżyce	54
+235000.0	True	2	12	Stare	38
+335000.0	True	3	1	Grunwald	70
+416000.0	True	3	3	Nowe	64
+275000.0	True	2	9	Stare	10
+315000.0	True	3	4	Winogrady	54
+275000.0	True	2	1	Sołacz	39
+249000.0	True	2	4	Grunwald	43
+268000.0	True	3	4	Jeżyce	43
+179000.0	True	3	2	Wilda	35
+429000.0	True	3	4	Świerczewo	60
+399000.0	True	3	1	Bonin	67
+290000.0	True	3	2	Stare	48
+799000.0	True	4	2	Stare	114
+375000.0	False	4	0	Plewiska	96
+354000.0	True	3	1	Piątkowo	60
+185000.0	True	2	8	Dębiec	50
+385000.0	True	4	3	Stare	80
+549000.0	True	4	5	Jeżyce	98
+326000.0	True	2	1	Winogrady	39
+263000.0	True	2	10	Śródka	48
+643000.0	True	4	0	Naramowice	60
+379000.0	True	3	1	Naramowice	20
+219000.0	True	2	1	Łazarz	35
+299000.0	True	2	0	Dębiec	52
+365000.0	True	2	5	Wilda	30
+410000.0	True	2	9	Rataje	50
+385000.0	True	2	1	Nowe	48
+310000.0	True	3	0	Grunwald	60
+375000.0	True	3	4	Wilda	40
+389000.0	True	3	0	Wilda	69
+269965.0	False	3	0	Nowe	81
+233000.0	True	2	3	Grunwald	70
+240000.0	True	2	3	Grunwald	80
+319000.0	True	3	4	Rataje	63
+315000.0	True	2	4	Jeżyce	25
+351648.0	True	3	4	Jeżyce	28
+305000.0	True	2	4	Jeżyce	55
+379000.0	True	3	0	Naramowice	64
+379000.0	True	3	0	Piątkowo	64
+250000.0	True	3	3	Rataje	53
+214000.0	True	2	3	Wilda	43
+390000.0	True	2	0	Nowe	61
+185000.0	True	2	11	Wilda	38
+435000.0	True	3	1	Junikowo	70
+395000.0	True	2	0	Grunwald	52
+390000.0	True	3	2	Podolany	68
+275000.0	True	2	5	Naramowice	45
+369000.0	True	3	0	Piątkowo	64
+295000.0	True	2	0	Stare	44
+275000.0	True	2	13	Rataje	80
+245000.0	True	2	12	Rataje	50
+429000.0	True	4	1	Rataje	70
+339000.0	True	3	1	Rataje	67
+290000.0	True	3	3	Rataje	50
+235000.0	True	2	0	Wilda	55
+449000.0	True	4	2	Grunwald	90
+695000.0	True	3	2	Jeżyce	25
+555000.0	True	4	0	Stare	20
+182000.0	True	2	2	Stare	70
+380000.0	True	4	6	Stare	90
+450000.0	True	6	4	Wilda	90
+283500.0	True	2	0	Stare	50
+350550.0	True	3	4	Stare	50
+395000.0	True	3	0	Grunwald	70
+425000.0	True	4	6	Rataje	85
+590000.0	True	4	3	Rataje	90
+349000.0	True	4	0	Rataje	84
+695000.0	True	3	2	Jeżyce	25
+329000.0	True	3	3	Piątkowo	60
+265000.0	True	3	10	Śródka	49
+229000.0	True	2	1	Stare	37
+399000.0	True	3	5	Łazarz	68
+249000.0	True	2	1	Nowe	49
+305000.0	True	2	1	Winiary	48
+326000.0	True	2	1	Sołacz	39
+415000.0	True	4	7	Piątkowo	63
+295000.0	True	2	2	Grunwald	50
+519000.0	True	4	3	Wilda	104
+105000.0	True	2	3	Nowe	50
+375000.0	True	3	0	Naramowice	68
+330000.0	True	3	4	Rataje	59
+487000.0	True	3	0	Naramowice	83
+899000.0	True	4	0	Stare	100
+218000.0	True	2	7	Winogrady	38
+395000.0	True	3	1	Grunwald	100
+345000.0	True	3	1	Winogrady	17
+489000.0	True	2	5	Centrum	53
+978000.0	True	4	5	Centrum	106
+339000.0	True	3	1	Żegrze	88
+350000.0	True	3	0	Winogrady	10
+259000.0	True	2	3	Żegrze	49
+265000.0	True	2	0	Dębiec	50
+569000.0	True	4	0	Wilda	50
+275000.0	True	2	1	Sołacz	50
+382280.0	True	3	3	Centrum	80
+259000.0	True	2	3	Łazarz	47
+425000.0	True	4	6	Rataje	85
+429000.0	True	3	4	Rataje	79
+382280.0	True	3	3	Stare	30
+325000.0	True	2	3	Stare	56
+289000.0	True	2	2	Jeżyce	42
+779000.0	True	3	2	Centrum	114
+445000.0	True	2	3	Jeżyce	60
+390000.0	True	3	3	Wilda	50
+339000.0	True	3	10	Rataje	10
+235000.0	True	2	0	Śródka	47
+655000.0	True	3	4	Stare	60
+655000.0	True	2	2	Jeżyce	10
+283340.0	True	2	0	Stare	70
+640000.0	True	3	2	Stare	47
+370000.0	True	3	4	Stare	84
+425000.0	True	2	9	Nowe	50
+282880.0	True	2	3	Stare	20
+561000.0	True	2	4	Stare	50
+360000.0	True	4	0	Grunwald	66
+429000.0	True	3	4	Wilda	47
+359400.0	True	3	1	Stare	72
+1115000.0	True	2	2	Grunwald	7
+497400.0	True	3	0	Wilda	48
+604395.0	True	5	1	Wilda	31
+1199000.0	True	8	3	Stare	282
+405000.0	True	3	1	Stare	80
+330615.0	True	2	2	Stare	79
+255000.0	True	2	3	Wilda	52
+300000.0	True	2	1	Stare	23
+850000.0	True	2	7	Stare	69
+480000.0	True	3	0	Stare	30
+350000.0	True	2	0	Stare	50
+1140000.0	True	6	0	Stare	40
+290970.0	True	2	0	Stare	60
+800000.0	True	4	3	Stare	103
+345000.0	True	2	3	Jeżyce	50
+514000.0	True	4	1	Jeżyce	120
+451000.0	True	3	2	Wilda	30
+659500.0	True	4	0	Grunwald	44
+558000.0	True	5	1	Wilda	2
+649000.0	True	4	0	Winogrady	80
+319000.0	True	2	4	Grunwald	54
+290000.0	True	2	4	Wilda	35
+325000.0	True	3	14	Rataje	80
+249000.0	True	2	5	Centrum	36
+224000.0	True	2	0	Łazarz	39
+295000.0	True	3	0	Grunwald	53
+379000.0	True	3	0	Rataje	30
+305000.0	True	2	1	Winogrady	48
+269000.0	True	2	1	Centrum	30
+240000.0	True	2	16	Rataje	36
+269000.0	True	2	2	Dolna	38
+448995.0	True	2	3	Jeżyce	66
+350000.0	True	2	3	Jeżyce	70
+469000.0	False	4	0	Plewiska	30
+369000.0	True	2	2	Jeżyce	90
+350000.0	True	2	0	Naramowice	60
+330000.0	True	3	4	Rataje	59
+315000.0	True	2	1	Grunwald	60
+349000.0	True	2	3	Piątkowo	60
+309000.0	True	2	0	Grunwald	55
+375000.0	True	3	1	Nowe	62
+280000.0	True	3	9	Jeżyce	49
+570000.0	True	3	5	Grunwald	60
+439000.0	True	4	2	Łazarz	40
+449000.0	True	4	1	Górczyn	90
+550000.0	True	4	2	Grunwald	107
+249000.0	True	2	5	Garbary	20
+519000.0	True	3	0	Nowe	99
+548000.0	True	3	1	Grunwald	84
+299000.0	True	3	2	Grunwald	48
+720000.0	True	4	7	Grunwald	91
+368000.0	True	2	2	Wilda	67
+325000.0	True	3	0	Grunwald	64
+499000.0	True	4	1	Naramowice	96
+269000.0	True	3	4	Rataje	48
+229000.0	True	2	1	Stare	40
+319000.0	True	2	2	Jeżyce	56
+200000.0	True	2	2	Dębiec	40
+240000.0	True	3	4	Dębiec	44
+235000.0	True	2	0	Nowe	47
+240000.0	True	3	4	Dębiec	44
+240000.0	True	3	4	Dębiec	44
+235000.0	True	2	0	Nowe	47
+745000.0	True	6	2	Grunwald	149
+399900.0	True	4	2	Nowe	66
+480000.0	True	3	1	Grunwald	40
+268000.0	True	3	4	Jeżyce	50
+308000.0	True	3	0	Piątkowo	63
+270000.0	True	3	4	Rataje	48
+250000.0	True	2	6	Sołacz	71
+349000.0	True	3	3	Rataje	63
+229000.0	True	2	12	Winogrady	10
+299000.0	True	3	2	Dębiec	70
+329000.0	True	3	3	Piątkowo	60
+289000.0	True	4	4	Winogrady	48
+590000.0	True	7	1	Smochowice	150
+479000.0	True	5	2	Centrum	142
+318400.0	True	3	1	Jeżyce	48
+500203.0	True	4	10	Grunwald	84
+339957.0	True	4	1	Stare	58
+329538.0	True	3	4	Jeżyce	50
+244969.0	True	2	0	Stare	42
+296277.0	True	3	0	Stare	49
+389610.0	True	4	4	Jeżyce	60
+337303.0	True	4	2	Stare	57
+245876.0	True	2	1	Jeżyce	38
+342900.0	True	3	3	Stare	57
+324608.0	True	3	2	Jeżyce	51
+277823.0	True	2	4	Jeżyce	50
+368569.0	True	3	4	Jeżyce	68
+295362.0	True	3	5	Stare	48
+286858.0	True	2	7	Winogrady	49
+292101.0	True	2	1	Grunwald	51
+279554.0	True	2	4	Jeżyce	43
+266320.0	True	2	4	Jeżyce	41
+327584.0	True	3	6	Grunwald	56
+339201.0	True	3	3	Jeżyce	53
+530000.0	True	2	5	Piątkowo	10
+269000.0	True	2	0	Grunwald	46
+237000.0	True	2	2	Dębiec	44
+275000.0	True	2	13	Rataje	49
+384000.0	True	3	2	Piątkowo	70
+339000.0	True	3	0	Rataje	47
+348000.0	True	3	9	Rataje	65
+460000.0	True	3	0	Rataje	73
+330000.0	True	3	4	Rataje	59
+350000.0	True	3	1	Rataje	63
+85000.0	True	3	4	Stare	70
+690000.0	True	4	1	Grunwald	60
+380000.0	True	3	4	Naramowice	52
+309978.0	False	2	2	Centrum	16
+1.0	False	5	0	4	126
+355000.0	True	2	0	Podolany	93
+225000.0	True	2	0	Grunwald	17
+259500.0	True	2	0	Grunwald	55
+289000.0	True	2	6	Winogrady	48
+230000.0	True	2	3	Nowe	47
+1000000.0	False	5	0	4	126
+339000.0	True	3	3	Nowe	90
+949000.0	True	3	4	Śródka	98
+520000.0	True	4	1	Wilda	129
+305000.0	True	2	1	Winiary	48
+318000.0	True	2	4	Piątkowo	20
+385000.0	True	2	0	Nowe	48
+860000.0	True	4	0	Centrum	103
+269000.0	True	2	3	Centrum	37
+445000.0	False	5	0	Luboń	104
+299000.0	True	3	10	Grunwald	10
+325000.0	True	3	7	Rataje	90
+305000.0	True	2	1	Winiary	49
+333000.0	True	3	4	Wilda	8
+275000.0	True	2	4	Rataje	63
+375570.0	False	2	4	Centrum	5
+542141.0	False	3	4	Centrum	53
+365546.0	False	2	4	Centrum	82
+698508.0	False	4	4	Centrum	59
+394787.0	False	2	4	Centrum	71
+597184.0	False	3	4	Centrum	61
+354177.0	False	2	3	Centrum	25
+353537.0	False	2	3	Centrum	17
+509468.0	False	3	3	Centrum	53
+652026.0	False	4	3	Centrum	89
+353457.0	False	2	3	Centrum	16
+356818.0	False	2	3	Centrum	58
+558745.0	False	3	3	Centrum	62
+349668.0	False	2	2	Centrum	15
+481903.0	False	3	2	Centrum	53
+389528.0	False	2	2	Centrum	87
+374216.0	False	2	2	Centrum	71
+534523.0	False	3	2	Centrum	62
+377418.0	False	2	1	Centrum	87
+372651.0	False	2	1	Centrum	5
+505032.0	False	3	1	Centrum	62
+469000.0	True	2	1	Winogrady	30
+339000.0	True	3	1	Rataje	88
+349000.0	True	3	1	Śródka	63
+466395.0	False	4	1	Dolna	65
+468406.0	False	4	2	Dolna	64
+275000.0	True	2	0	Łazarz	52
+395000.0	True	2	1	Naramowice	30
+339000.0	True	3	9	Nowe	65
+177000.0	True	2	2	Dębiec	33
+525000.0	True	4	3	Jeżyce	70
+309000.0	True	2	0	Jeżyce	28
+339000.0	True	2	2	Naramowice	49
+325000.0	True	2	3	Stare	60
+380000.0	True	4	4	Winogrady	80
+368110.44	True	3	2	Nowe	31
+324800.0	True	2	1	Nowe	56
+270000.0	True	2	2	Łazarz	100
+169000.0	True	2	1	Łazarz	44
+460000.0	True	3	4	Wilda	69
+199650.0	True	2	5	Nowe	93
+557338.0	True	3	3	Centrum	7
+290970.0	True	2	4	Górczyn	70
+412438.0	True	3	2	Winogrady	11
+360343.59	True	2	0	Centrum	60
+327127.5	True	2	0	Centrum	50
+194500.0	True	2	3	Nowe	90
+495000.0	True	4	0	Jeżyce	10
+293436.0	False	2	11	Grunwald	16
+333232.0	False	3	7	Grunwald	21
+333232.0	False	3	7	Grunwald	21
+296810.0	False	2	2	Grunwald	30
+296810.0	False	2	2	Grunwald	30
+771672.0	False	4	7	Grunwald	68
+339000.0	True	3	7	Jeżyce	50
+319000.0	True	2	4	Grunwald	20
+290000.0	True	2	4	Grunwald	36
+295000.0	True	2	3	Stare	30
+380931.0	False	3	3	Starołęka	82
+300680.0	False	2	2	Starołęka	54
+300680.0	False	2	2	Starołęka	54
+349668.0	False	2	2	Stare	15
+384000.0	True	3	2	Piątkowo	90
+339000.0	True	3	1	Rataje	88
+285678.0	False	2	1	Winogrady	42
+211190.0	False	2	0	Podolany	78
+247705.0	False	2	1	Piątkowo	74
+211190.0	False	2	0	Piątkowo	78
+247705.0	False	2	1	Podolany	74
+449000.0	False	5	0	Szczepankowo	68
+771672.0	False	4	4	Górczyn	66
+442080.0	False	3	1	Starołęka	68
+302887.0	False	2	4	Górczyn	25
+294840.0	False	2	4	Winogrady	50
+282994.0	False	2	0	Starołęka	59
+442080.0	False	3	1	Starołęka	68
+370597.0	False	2	4	Stare	4
+302887.0	False	2	4	Górczyn	25
+294840.0	False	2	4	Winogrady	50
+225228.0	False	2	5	Rataje	91
+282994.0	False	2	0	Starołęka	59
+242731.0	False	2	0	Podolany	74
+522235.0	False	3	2	Stare	62
+370597.0	False	2	4	Stare	4
+674695.0	False	3	4	Stare	59
+349000.0	False	4	0	Szczepankowo	29
+259015.0	False	2	0	Ogrody	53
+411684.0	False	3	3	Winogrady	17
+282944.0	False	2	0	Starołęka	59
+424377.0	False	4	2	Starołęka	14
+277823.0	False	2	2	Podolany	70
+277823.0	False	2	2	Podolany	70
+460499.0	False	3	1	Stare	51
+460499.0	False	3	1	Stare	51
+557338.0	False	3	3	Stare	4
+481903.0	False	3	2	Centrum	53
+361998.0	False	3	15	Grunwald	20
+310584.0	False	2	1	Nowe	26
+557338.0	False	3	3	Stare	4
+557338.0	False	3	3	Stare	4
+350506.0	False	3	11	Grunwald	20
+368110.0	False	3	2	Nowe	31
+557338.0	False	3	3	Stare	4
+342021.0	False	2	4	Nowe	93
+353379.0	False	3	12	Grunwald	20
+429699.0	False	3	15	Grunwald	62
+350506.0	False	3	11	Grunwald	20
+341682.0	False	2	10	Grunwald	7
+361998.0	False	3	15	Grunwald	20
+341682.0	False	2	10	Grunwald	7
+481903.0	False	3	2	Centrum	53
+310584.0	False	2	1	Nowe	26
+368110.0	False	3	2	Nowe	31
+162525.0	False	2	0	Głuszyna	55
+311488.0	False	3	2	Jeżyce	24
+336804.0	False	2	3	Jeżyce	4
+382074.0	False	3	2	Jeżyce	89
+195000.0	True	2	1	Łazarz	31
+385000.0	True	3	0	Grunwald	66
+495000.0	True	4	0	Jeżyce	86
+399000.0	True	2	1	Jeżyce	28
+369000.0	True	2	5	Winogrady	62
+172000.0	True	2	0	Starołęka	32
+599000.0	True	3	3	Grunwald	60
+620000.0	True	3	2	Naramowice	98
+495000.0	True	5	1	Naramowice	98
+460000.0	True	3	4	Wilda	69
+270000.0	True	2	0	Nowe	41
+263581.0	True	2	5	Stare	43
+279554.0	True	2	4	Jeżyce	43
+295000.0	True	2	1	Jeżyce	30
+779000.0	True	3	2	Stare	113
+305000.0	True	2	1	Sołacz	48
+385000.0	True	3	5	Centrum	50
+1040000.0	True	2	10	Centrum	79
+570000.0	True	4	0	Centrum	137
+468000.0	True	2	3	Grunwald	60
+1200000.0	True	4	2	Jeżyce	188
+233000.0	True	2	3	Grunwald	38
+315000.0	True	2	7	Rataje	47
+359000.0	True	3	2	Podolany	56
+269000.0	True	2	1	Centrum	34
+240000.0	True	2	3	Grunwald	38
+442150.0	True	2	3	Stare	75
+328000.0	True	3	0	Winogrady	48
+399700.0	True	3	1	Puszczykowo	74
+499000.0	True	3	3	Centrum	109
+529000.0	True	4	0	Piątkowo	115
+565000.0	True	3	1	Stary	95
+499000.0	True	3	1	Suchy	95
+517000.0	True	4	1	Centrum	138
+539000.0	True	4	2	Jeżyce	110
+330000.0	True	2	4	Wilda	50
+349000.0	True	3	3	Piątkowo	60
+359000.0	True	3	2	Podolany	10
+339000.0	True	4	5	Grunwald	74
+219000.0	True	2	2	Grunwald	38
+279000.0	True	2	2	Wilda	30
+489000.0	True	2	8	Centrum	4
+409000.0	True	3	1	Nowe	90
+245000.0	True	2	0	Piątkowo	40
+315000.0	True	2	7	Rataje	47
+395000.0	True	4	0	Grunwald	60
+239000.0	True	2	0	Rataje	48
+280250.0	True	2	0	Górczyn	50
+316355.0	True	2	4	Centrum	67
+276610.0	True	2	4	Centrum	80
+442002.0	True	2	3	Centrum	73
+316498.0	True	2	2	Centrum	77
+300160.0	True	2	3	Winogrady	90
+347090.0	True	3	1	Winogrady	90
+286091.0	True	2	3	Winogrady	49
+442150.0	True	2	2	Centrum	75
+270000.0	True	3	1	Starołęka	30
+319900.0	True	2	1	Grunwald	52
+695000.0	True	3	2	Jeżyce	71
+250000.0	True	2	6	Grunwald	31
+350000.0	True	3	7	Piątkowo	63
+475000.0	True	3	1	Naramowice	68
+535000.0	True	2	2	Stare	55
+425000.0	True	3	1	Piątkowo	74
+349000.0	True	3	3	Rataje	63
+495000.0	True	3	1	Łazarz	64
+495000.0	True	4	1	Naramowice	98
+499000.0	True	5	0	Grunwald	130
+659200.0	True	4	3	Łazarz	103
+510000.0	True	5	1	Naramowice	98
+360000.0	True	2	5	Grunwald	41
+249000.0	True	2	5	Centrum	36
+1950000.0	True	3	5	Centrum	143
+313000.0	True	2	4	Piątkowo	49
+250000.0	True	2	3	Wilda	39
+430000.0	True	2	2	Wilda	46
+239000.0	True	2	8	Winogrady	10
+312259.0	True	2	6	Winogrady	51
+329539.0	True	3	4	Jeżyce	50
+242134.0	True	2	0	Jeżyce	38
+246553.0	True	2	1	Stare	40
+345241.0	True	4	3	Stare	58
+242730.0	True	2	0	Jeżyce	50
+295000.0	True	2	1	Nowe	40
+555000.0	True	4	0	Stare	123
+350000.0	True	3	0	Stare	72
+310584.0	False	2	1	Nowe	26
+162525.0	False	2	0	Głuszyna	55
+289170.0	False	2	0	Winogrady	90
+332940.0	False	2	2	Winogrady	70
+334610.0	False	2	1	Winogrady	9
+298980.0	False	2	5	Winogrady	30
+318645.0	False	2	2	Winogrady	23
+228144.0	False	3	2	Głuszyna	56
+557338.0	False	3	3	Stare	4
+557338.0	False	3	3	Stare	4
+533745.0	False	5	2	Starołęka	4
+321285.0	False	2	4	Winogrady	30
+269000.0	True	2	3	Jeżyce	81
+279000.0	True	2	5	Jeżyce	53
+449000.0	False	5	0	Szczepankowo	68
+460499.0	False	3	1	Stare	51
+557338.0	False	3	3	Stare	4
+455348.0	False	3	0	Stare	61
+460499.0	False	3	1	Stare	51
+368712.0	False	2	5	Stare	90
+302887.0	False	2	4	Górczyn	25
+282994.0	False	2	0	Starołęka	59
+522235.0	False	3	2	Stare	62
+370597.0	False	2	4	Stare	4
+674695.0	False	3	4	Stare	59
+442080.0	False	3	1	Starołęka	68
+771672.0	False	4	4	Górczyn	66
+302887.0	False	2	4	Górczyn	25
+225228.0	False	2	5	Rataje	91
+284618.0	False	2	3	Nowe	55
+297420.0	False	2	3	Grunwald	24
+370597.0	False	2	4	Stare	4
+242731.0	False	2	0	Podolany	74
+368568.0	False	3	4	Podolany	38
+522235.0	False	3	2	Stare	62
+442080.0	False	3	1	Starołęka	68
+305676.0	False	2	5	Winogrady	52
+460499.0	False	3	1	Stare	51
+429699.0	False	3	15	Grunwald	62
+341682.0	False	2	10	Grunwald	7
+481903.0	False	3	2	Centrum	53
+368110.0	False	3	2	Nowe	31
+332940.0	False	2	2	Winogrady	70
+162525.0	False	2	0	Głuszyna	55
+318645.0	False	2	2	Winogrady	23
+228144.0	False	3	2	Głuszyna	56
+318645.0	False	2	2	Winogrady	23
+325000.0	True	3	1	Nowe	90
+319000.0	True	2	1	Jeżyce	67
+339000.0	True	3	9	Rataje	65
+310000.0	True	2	3	Nowe	38
+756000.0	True	4	2	Grunwald	100
+265000.0	True	2	10	Śródka	49
+350000.0	True	2	0	Naramowice	49
+244970.0	True	2	0	Stare	42
+238948.0	True	2	4	Stare	39
+377652.0	True	4	6	Jeżyce	57
+324609.0	True	3	2	Jeżyce	51
+339000.0	True	3	9	Nowe	65
+435000.0	True	3	1	Grunwald	10
+395000.0	True	4	0	Grunwald	60
+310000.0	True	2	2	Jeżyce	55
+235000.0	True	2	1	Starołęka	47
+210000.0	True	2	2	Grunwald	40
+299000.0	True	2	0	Dębiec	52
+305000.0	True	3	10	Piątkowo	40
+180000.0	True	2	6	Dębiec	50
+245488.0	True	2	0	Jeżyce	37
+242407.0	True	2	0	Jeżyce	36
+347095.0	True	3	1	Winogrady	57
+285383.0	True	2	4	Winogrady	48
+289172.0	True	2	0	Stare	46
+301620.0	True	2	5	Stare	46
+247706.0	True	2	1	Jeżyce	50
+278048.0	True	2	3	Jeżyce	50
+333693.0	True	3	1	Jeżyce	68
+235000.0	True	2	1	Głuszyna	47
+369000.0	True	2	3	Wilda	46
+350000.0	True	2	4	Jeżyce	56
+319000.0	True	2	4	Grunwald	47
+279000.0	True	2	1	Podolany	63
+290000.0	True	3	2	Winogrady	48
+235000.0	True	2	1	Nowe	47
+446000.0	True	2	1	Rataje	52
+225288.0	False	2	1	Rataje	91
+287882.0	False	2	1	Starołęka	85
+349000.0	False	4	0	Szczepankowo	29
+285678.0	False	2	1	Winogrady	42
+353275.0	False	2	4	Grunwald	49
+297421.0	False	2	3	Grunwald	24
+156085.0	False	2	4	Nowe	54
+286445.0	True	2	2	Winogrady	55
+285678.0	True	2	1	Winogrady	42
+302985.59	True	2	4	Grunwald	18
+302038.41	True	3	1	Grunwald	2
+495782.25	True	4	7	Grunwald	99
+405103.97	True	4	1	Grunwald	34
+426416.78	True	4	6	Grunwald	20
+319047.97	True	3	3	Grunwald	21
+380480.0	True	3	4	Grunwald	60
+244071.0	False	2	1	Nowe	93
+156085.0	False	2	4	Nowe	54
+404000.0	True	3	2	Rataje	70
+315000.0	True	3	11	Stare	50
+345000.0	True	2	3	Jeżyce	50
+321904.0	False	2	4	Winogrady	92
+270000.0	True	2	0	Zawady	41
+230000.0	True	2	6	Dębiec	45
+349000.0	True	4	3	Centrum	20
+277000.0	True	3	0	Centrum	40
+338700.0	True	3	2	Jeżyce	45
+619000.0	True	3	2	Winogrady	100
+486243.0	True	2	1	Łazarz	60
+413044.03	True	3	12	Grunwald	62
+324387.0	True	2	9	Grunwald	49
+338111.0	True	2	15	Grunwald	62
+293436.0	True	2	1	Grunwald	16
+333212.88	True	2	7	Grunwald	21
+267702.41	True	2	3	Grunwald	22
+903965.44	True	4	0	Centrum	80
+1366410.0	True	4	0	Centrum	71
+1155974.38	True	4	1	Centrum	28
+285383.0	True	2	4	Winogrady	37
+260000.0	True	2	0	Stare	79
+270000.0	True	2	2	Jeżyce	49
+1140000.0	True	6	0	Stare	40
+333232.0	False	3	7	Grunwald	21
+297421.0	False	2	3	Grunwald	24
+200460.0	False	2	0	Głuszyna	55
+377418.0	False	2	1	Stare	87
+289800.0	False	2	0	Winogrady	46
+505032.0	False	3	1	Stare	62
+374216.0	False	2	2	Stare	71
+1156054.0	False	4	0	Stare	41
+904041.0	False	3	0	Stare	2
+460849.0	False	3	2	Grunwald	13
+771672.0	False	4	7	Grunwald	68
+296810.0	False	2	2	Grunwald	30
+460499.0	False	3	1	Stare	51
+349668.0	False	2	2	Stare	15
+325206.0	False	2	10	Grunwald	62
+557338.0	False	3	3	Centrum	4
+380931.0	False	3	3	Starołęka	82
+295549.0	False	2	0	Starołęka	59
+302887.0	False	2	4	Górczyn	25
+225228.0	False	2	5	Rataje	91
+302887.0	False	2	4	Górczyn	25
+284618.0	False	2	3	Nowe	55
+297420.0	False	2	3	Grunwald	24
+370597.0	False	2	4	Stare	4
+242731.0	False	2	0	Podolany	74
+522235.0	False	3	2	Stare	62
+368568.0	False	3	4	Podolany	38
+442080.0	False	3	1	Starołęka	68
+305676.0	False	2	5	Winogrady	52
+294840.0	False	2	4	Winogrady	50
+460499.0	False	3	1	Stare	51
+299999.0	True	2	0	Wilda	51
+325000.0	True	3	7	Rataje	64
+395000.0	True	2	0	Grunwald	52
+315000.0	True	2	2	Zawady	52
+299000.0	True	3	2	Winogrady	48
+339000.0	True	3	1	Rataje	67
+290000.0	True	2	4	Grunwald	53
+369000.0	True	3	1	Piątkowo	65
+339000.0	True	3	0	Rataje	47
+265000.0	True	3	1	Winogrady	53
+315000.0	True	3	2	Winogrady	53
+345000.0	True	2	3	Jeżyce	50
+270000.0	True	3	4	Rataje	48
+375000.0	True	3	1	Nowe	62
+1050000.0	True	5	2	Centrum	161
+515000.0	True	3	0	Rataje	69
+428000.0	True	3	3	Centrum	43
+288000.0	True	3	4	Winogrady	47
+240000.0	True	2	2	Dębiec	48
+530000.0	True	2	5	Piątkowo	66
+510000.0	True	5	1	Naramowice	98
+360000.0	True	3	0	Wilda	112
+360000.0	True	4	4	Jeżyce	60
+330000.0	True	2	1	Jeżyce	53
+365000.0	True	2	2	Rataje	45
+460000.0	True	3	0	Rataje	73
+375000.0	True	3	3	Wilda	49
+380000.0	True	4	0	Piątkowo	74
+335000.0	True	3	9	Nowe	65
+379000.0	True	3	4	Rataje	63
+369000.0	True	2	3	Grunwald	64
+275000.0	True	2	2	Naramowice	45
+259000.0	True	2	2	Nowe	42
+299000.0	True	2	4	Nowe	47
+275000.0	True	2	0	Dębiec	50
+950000.0	True	3	4	Nowe	99
+315000.0	True	3	0	Piątkowo	63
+270000.0	True	2	10	Nowe	48
+430000.0	True	3	2	Rataje	64
+413500.0	True	5	4	Winogrady	64
+359000.0	True	3	2	Rataje	65
+410000.0	True	2	5	Rataje	53
+365000.0	True	4	3	Grunwald	68
+295555.0	True	2	1	Jeżyce	45
+224000.0	True	2	0	Górczyn	38
+315000.0	True	2	2	Winogrady	38
+265000.0	True	2	1	Wilda	44
+299000.0	True	2	3	Grunwald	44
+379000.0	True	3	1	Piątkowo	78
+249000.0	True	2	4	Grunwald	43
+295000.0	True	3	0	Grunwald	53
+510000.0	True	3	6	Grunwald	50
+350000.0	True	2	1	Rataje	54
+450000.0	True	4	1	Grunwald	101
+365000.0	True	2	1	Stare	50
+430000.0	True	2	1	Centrum	72
+385560.0	True	2	3	Piątkowo	57
+299000.0	True	2	1	Junikowo	33
+370000.0	True	4	4	Piątkowo	76
+336000.0	True	2	1	Naramowice	46
+369000.0	True	2	3	Jeżyce	55
+595000.0	True	3	0	Naramowice	94
+429000.0	True	3	4	Nowe	79
+489000.0	True	3	0	Jeżyce	65
+295000.0	True	3	2	Grunwald	49
+499000.0	True	4	2	Wilda	120
+305000.0	True	3	3	Winogrady	48
+325000.0	True	3	4	Jeżyce	64
+299817.0	True	2	3	Górczyn	59
+495000.0	True	4	1	Naramowice	98
+370000.0	True	2	13	Rataje	48
+487000.0	True	3	0	Naramowice	72
+299000.0	True	2	5	Grunwald	59
+269000.0	True	3	10	Grunwald	50
+380000.0	True	4	6	Piątkowo	73
+273875.0	True	2	1	Górczyn	13
+275000.0	True	2	13	Rataje	49
+1000000.0	True	5	1	Jeżyce	128
+379999.0	True	2	5	Jeżyce	61
+315000.0	True	3	4	Winogrady	53
+275000.0	True	2	9	Rataje	38
+259000.0	True	2	2	Jeżyce	48
+295000.0	True	2	0	Naramowice	36
+3200.0	True	4	0	Centrum	75
+260000.0	True	2	0	Rataje	46
+1612000.0	True	7	5	Jeżyce	166
+220000.0	True	2	3	Jeżyce	37
+549000.0	True	3	2	Jeżyce	106
+549000.0	True	3	2	Jeżyce	106
+330000.0	True	3	0	Bonin	56
+399000.0	True	2	0	Podolany	63
+220000.0	True	2	4	Grunwald	43
+290000.0	True	2	4	Winogrady	38
+270000.0	True	3	4	Rataje	48
+245000.0	True	2	3	Grunwald	30
+305000.0	True	2	1	Winiary	48
+235000.0	True	2	0	Łazarz	52
+289000.0	True	2	6	Winogrady	48
+495000.0	True	4	1	Naramowice	98
+270000.0	True	3	4	Rataje	48
+510000.0	True	5	1	Naramowice	98
+390000.0	True	3	3	Stare	48
+269000.0	True	2	0	Grunwald	46
+480000.0	True	2	2	Garbary	56
+320000.0	True	2	2	Piątkowo	48
+240000.0	True	2	16	Rataje	36
+355000.0	True	3	3	Łazarz	62
+240000.0	True	2	8	Dębiec	37
+565964.0	True	2	5	Centrum	49
+289000.0	True	2	2	Jeżyce	42
+350000.0	True	2	3	Rataje	50
+550000.0	True	3	1	Grunwald	73
+345000.0	True	3	1	Rataje	78
+259000.0	True	2	5	Grunwald	46
+491520.0	True	4	1	Górczyn	92
+305739.0	True	2	2	Górczyn	53
+269000.0	True	2	2	Dębiec	48
+295000.0	True	2	0	Centrum	44
+384000.0	True	3	2	Piątkowo	69
+375000.0	True	3	2	Rataje	79
+355000.0	True	3	2	Piątkowo	66
+420000.0	True	2	3	Naramowice	59
+237000.0	True	2	2	Dębiec	44
+330000.0	True	3	4	Rataje	59
+405000.0	True	3	1	Antoninek	68
+249900.0	True	2	9	Winogrady	38
+315000.0	True	2	7	Rataje	47
+510000.0	True	3	6	Grunwald	50
+349000.0	True	3	1	Winogrady	51
+339000.0	True	3	1	Rataje	67
+287000.0	True	2	4	Wilda	37
+585000.0	True	3	4	Jeżyce	59
+335000.0	True	3	7	Rataje	63
+289000.0	True	3	4	Winogrady	47
+263000.0	True	3	4	Grunwald	48
+279000.0	True	2	0	Naramowice	43
+292000.0	True	3	2	Winogrady	48
+399000.0	True	2	3	Centrum	60
+320000.0	True	3	0	Rataje	56
+287000.0	True	2	10	Winogrady	46
+350000.0	True	3	6	Jeżyce	64
+999000.0	True	3	4	Nowe	99
+510660.0	True	4	1	Górczyn	11
+363258.0	True	2	1	Górczyn	59
+650000.0	True	4	8	Rataje	100
+245000.0	True	3	0	Grunwald	45
+200000.0	True	3	4	Nowe	44
+237000.0	True	2	10	Górczyn	38
+259000.0	True	2	3	Rataje	49
+310000.0	True	2	2	Zawady	52
+289000.0	True	2	2	Nowe	48
+405000.0	True	4	2	Rataje	71
+747000.0	True	3	7	Rataje	84
+379000.0	True	3	2	Podolany	56
+495000.0	True	5	1	Naramowice	98
+265000.0	True	2	4	Grunwald	43
+289575.0	True	2	0	Jeżyce	43
+495000.0	True	3	0	Centrum	63
+380000.0	True	4	1	Piątkowo	76
+250000.0	True	2	4	Rataje	44
+335000.0	True	3	4	Winogrady	56
+580000.0	True	4	3	Sołacz	96
+549000.0	True	3	2	Jeżyce	106
+200000.0	True	2	0	Rataje	30
+736933.0	True	3	0	Jeżyce	67
+275000.0	True	2	0	Naramowice	50
+290000.0	True	2	2	Dębiec	40
+620000.0	True	3	2	Naramowice	98
+299000.0	True	2	0	Dębiec	48
+275000.0	True	2	1	Sołacz	38
+279000.0	True	2	1	Naramowice	52
+379999.0	True	3	2	Wilda	67
+354454.0	True	2	3	Górczyn	17
+379000.0	True	3	2	Podolany	56
+800000.0	True	3	3	Chwaliszewo	70
+350000.0	True	3	0	Naramowice	59
+420000.0	True	2	5	Rataje	63
+260000.0	True	3	4	Centrum	44
+470000.0	True	3	1	Rataje	70
+360000.0	True	2	0	Winogrady	48
+320000.0	True	2	3	Chwaliszewo	56
+260000.0	True	2	0	Rataje	46
+397000.0	True	3	2	Jeżyce	74
+439000.0	True	3	1	Junikowo	70
+430000.0	True	3	5	Grunwald	60
+349000.0	True	3	2	Górczyn	55
+450000.0	True	3	0	Winogrady	70
+290000.0	True	2	6	Jeżyce	49
+499000.0	True	3	1	Rataje	64
+319000.0	True	3	1	Piątkowo	63
+489780.0	True	4	2	Górczyn	63
+453600.0	True	2	3	Naramowice	56
+525000.0	True	4	3	Jeżyce	104
+950000.0	True	3	4	Nowe	99
+459000.0	True	3	4	Dębiec	60
+370000.0	True	4	11	Rataje	74
+830000.0	True	3	1	Grunwald	91
+385500.0	True	2	6	Dębiec	38
+409000.0	True	3	1	Malta	61
+275000.0	True	3	7	Wilda	53
+300000.0	True	2	4	Winogrady	53
+335400.0	True	2	1	Łazarz	51
+560000.0	True	2	8	Grunwald	55
+855000.0	True	4	5	Jeżyce	96
+399000.0	True	3	1	Winiary	66
+750000.0	True	4	0	Kobylepole	105
+459000.0	True	3	4	Dębiec	60
+275000.0	True	2	0	Naramowice	50
+925000.0	True	5	1	Stare	105
+350000.0	True	3	3	Jeżyce	70
+550000.0	True	2	1	Naramowice	57
+345000.0	True	2	0	Centrum	42
+576520.0	True	2	5	Centrum	50
+285000.0	True	2	4	Naramowice	42
+395000.0	True	3	10	Piątkowo	67
+516000.0	True	3	3	Naramowice	75
+620000.0	True	3	2	Naramowice	98
+240000.0	True	2	3	Grunwald	38
+350000.0	True	2	0	Naramowice	48
+390000.0	True	3	2	Podolany	68
+339000.0	True	3	9	Rataje	65
+659000.0	True	5	0	Podolany	135
+670000.0	True	4	3	Grunwald	81
+390000.0	True	3	2	Podolany	68
+420000.0	True	2	1	Naramowice	62
+288000.0	True	3	4	Winogrady	47
+326000.0	True	2	0	Jeżyce	55
+450000.0	True	3	0	Grunwald	75
+354000.0	True	3	1	Naramowice	60
+279000.0	True	2	0	Piątkowo	48
+449900.0	True	3	0	Naramowice	71
+285000.0	True	2	11	Winogrady	47
+690000.0	True	4	5	Grunwald	107
+380000.0	True	3	0	Centrum	55
+329000.0	True	2	3	Nowe	50
+510000.0	True	5	1	Naramowice	98
+325000.0	True	3	1	Głuszyna	63
+269000.0	True	2	3	Grunwald	47
+215000.0	True	2	0	Wilda	36
+285000.0	True	2	4	Wilda	35
+390000.0	True	4	4	Piątkowo	74
+295000.0	True	2	4	Stare	33
+245000.0	True	2	0	Stare	44
+490000.0	True	4	3	Sołacz	83
+200000.0	True	2	0	Głuszyna	52
+379000.0	True	2	0	Nowe	56
+290000.0	True	2	5	Winogrady	42
+235000.0	True	2	3	Winogrady	38
+750000.0	True	2	9	Centrum	54
+385000.0	True	2	0	Naramowice	50
+489000.0	True	3	3	Grunwald	104
+290000.0	True	3	2	Winogrady	60
+280000.0	True	3	2	Winogrady	47
+280000.0	True	3	2	Winogrady	47
+385000.0	True	2	1	Nowe	48
+378000.0	True	2	1	Grunwald	50
+460499.0	True	3	1	Centrum	51
+481103.0	True	3	1	Centrum	51
+455348.0	True	3	0	Centrum	61
+348750.0	True	2	3	Centrum	50
+194000.0	True	2	2	Nowe	80
+360288.0	True	2	1	Centrum	60
+368712.0	True	2	0	Centrum	90
+244071.0	True	2	2	Nowe	93
+390312.0	True	2	3	Centrum	60
+430000.0	True	2	2	Wilda	38
+225000.0	True	2	3	Grunwald	41
+720000.0	True	4	0	Centrum	163
+475000.0	True	4	1	Grunwald	90
+585000.0	True	3	1	Centrum	16
+319000.0	True	3	4	Winogrady	53
+949000.0	True	3	4	Śródka	98
+233000.0	True	2	3	Grunwald	39
+299000.0	True	2	1	Centrum	11
+211743.0	False	2	4	Starołęka	33
+208382.0	False	2	3	Starołęka	33
+311283.0	False	3	4	Starołęka	3
+413592.0	False	3	2	Starołęka	72
+345000.0	True	4	3	Grunwald	70
+317880.0	False	2	2	Grunwald	98
+317880.0	False	2	2	Grunwald	98
+317880.0	False	2	2	Grunwald	98
+495723.0	False	4	9	Grunwald	99
+317880.0	False	2	2	Grunwald	98
+495723.0	False	3	9	Grunwald	99
+429699.0	False	3	15	Grunwald	62
+470000.0	True	3	2	Sołacz	68
+302887.0	False	2	4	Górczyn	25
+284618.0	False	2	3	Nowe	55
+225228.0	False	2	5	Rataje	91
+282994.0	False	2	0	Starołęka	59
+522235.0	False	3	2	Stare	62
+294840.0	False	2	4	Winogrady	50
+460499.0	False	3	1	Stare	51
+305676.0	False	2	5	Winogrady	52
+442080.0	False	3	1	Starołęka	68
+242731.0	False	2	0	Podolany	74
+370597.0	False	2	4	Stare	4
+297420.0	False	2	3	Grunwald	24
+342021.0	False	2	4	Nowe	93
+429699.0	False	3	15	Grunwald	62
+341682.0	False	2	10	Grunwald	7
+368110.0	False	3	2	Nowe	31
+162525.0	False	2	0	Głuszyna	55
+228144.0	False	3	2	Głuszyna	56
+557338.0	False	3	3	Stare	4
+557338.0	False	3	3	Stare	4
+310584.0	False	2	1	Nowe	26
+210000.0	True	2	2	Zawady	42
+85000.0	True	2	0	Zawady	40
+145000.0	True	2	1	Zawady	61
+339000.0	True	3	9	Nowe	65
+384000.0	True	3	2	Piątkowo	70
+215000.0	True	2	2	Łazarz	34
+295000.0	True	3	0	Grunwald	20
+295000.0	True	3	0	Grunwald	20
+339000.0	True	3	1	Rataje	67
+247000.0	True	3	3	Raszyn	70
+245000.0	True	2	3	Grunwald	30
+245000.0	True	2	2	Dębiec	30
+305000.0	True	3	4	Rataje	53
+308000.0	True	3	0	Piątkowo	63
+247000.0	True	3	3	Grunwald	70
+155481.0	True	2	0	Stare	88
+350000.0	True	2	0	Stare	60
+240000.0	True	2	3	Grunwald	37
+339000.0	True	3	1	Rataje	88
+265000.0	True	2	1	Jeżyce	66
+259999.0	True	2	4	Rataje	44
+225288.0	False	2	1	Rataje	91
+247000.0	True	3	3	Grunwald	70
+315000.0	True	3	4	Winogrady	50
+239000.0	True	2	8	Winogrady	10
+255000.0	True	2	1	Centrum	48
+382000.0	True	3	3	Centrum	50
+240000.0	True	2	3	Dębiec	50
+930000.0	True	2	2	Malta	75
+239000.0	True	2	10	Grunwald	42
+235000.0	True	2	5	Winogrady	38
+399000.0	True	2	2	Stare	62
+920000.0	True	5	2	Grunwald	177
+499000.0	True	3	0	Centrum	12
+492000.0	True	3	4	Centrum	96
+349000.0	True	2	4	Centrum	11
+317880.0	True	2	2	Grunwald	98
+407208.0	True	3	2	Grunwald	44
+410665.0	True	4	2	Grunwald	7
+410780.0	True	3	3	Grunwald	44
+328476.0	True	2	4	Grunwald	98
+273951.0	True	2	0	Nowe	97
+321285.0	True	2	4	Winogrady	30
+318645.0	True	2	2	Winogrady	30
+886860.06	True	3	5	Centrum	80
+473770.0	True	2	5	Centrum	7
+798966.0	True	2	5	Centrum	33
+163563.75	True	2	0	Centrum	25
+314089.0	True	2	5	Grunwald	49
+297420.81	True	2	3	Grunwald	24
+455712.0	True	3	0	Grunwald	64
+746787.0	True	4	7	Grunwald	53
+322276.0	True	2	3	Winogrady	98
+286327.0	True	2	3	Winogrady	53
+312259.0	True	2	6	Winogrady	19
+256417.0	True	2	3	Nowe	33
+193950.0	True	2	1	Nowe	79
+226239.0	True	2	0	Nowe	93
+487000.0	True	3	0	Naramowice	83
+313028.0	True	2	4	Centrum	4
+292664.5	True	2	4	Centrum	11
+440496.0	True	3	4	Centrum	96
+358092.0	True	2	4	Centrum	84
+288216.5	True	2	4	Centrum	47
+410215.0	True	2	4	Centrum	11
+383760.0	True	3	6	Grunwald	60
+299000.0	True	2	0	Wilda	53
+299000.0	True	3	3	Jeżyce	56
+674000.0	True	5	2	Centrum	40
+270000.0	True	3	4	Nowe	48
+303287.0	True	2	3	Grunwald	13
+156986.0	True	2	1	Nowe	62
+162525.0	True	2	0	Nowe	55
+247831.0	True	3	5	Nowe	73
+222050.0	True	2	3	Nowe	41
+204450.0	True	3	1	Nowe	50
+188190.0	True	2	0	Nowe	90
+192750.0	True	2	4	Nowe	55
+247549.0	True	3	4	Nowe	67
+285678.0	False	2	1	Winogrady	42
+308237.0	False	2	1	Nowe	85
+349000.0	False	4	0	Szczepankowo	29
+297421.0	False	2	3	Grunwald	24
+297421.0	False	2	3	Grunwald	24
+244071.0	False	2	1	Nowe	93
+156085.0	False	2	4	Nowe	54
+265000.0	True	2	1	Jeżyce	66
+235000.0	True	2	0	Dębiec	43
+305000.0	True	2	8	Ogrody	44
+435000.0	True	3	1	Grunwald	70
+395000.0	True	2	0	Grunwald	11
+449000.0	False	5	0	Szczepankowo	68
+211190.0	False	2	0	Piątkowo	78
+771672.0	False	4	4	Górczyn	66
+771672.0	False	4	4	Górczyn	66
+302887.0	False	2	4	Górczyn	25
+282994.0	False	2	0	Starołęka	59
+771672.0	False	4	4	Górczyn	66
+302887.0	False	2	4	Górczyn	25
+225228.0	False	2	5	Rataje	91
+442080.0	False	3	1	Starołęka	68
+370597.0	False	2	4	Stare	4
+771672.0	False	4	4	Górczyn	66
+242731.0	False	2	0	Podolany	74
+225228.0	False	2	5	Rataje	91
+460499.0	False	3	1	Stare	51
+284618.0	False	2	3	Nowe	55
+356251.0	False	3	14	Grunwald	20
+297420.0	False	2	3	Grunwald	24
+428090.0	False	3	2	Nowe	85
+347090.0	False	3	1	Winogrady	41
+375529.0	False	2	3	Centrum	71
+429699.0	False	3	15	Grunwald	62
+332940.0	False	2	2	Winogrady	70
+162525.0	False	2	0	Głuszyna	55
+557338.0	False	3	3	Stare	4
+317880.0	False	2	11	Grunwald	98
+293436.0	False	2	11	Grunwald	16
+317880.0	False	2	2	Grunwald	98
+297421.0	False	2	3	Grunwald	16
+297421.0	False	2	3	Grunwald	16
+317880.0	False	2	2	Grunwald	98
+297421.0	False	2	3	Grunwald	16
+297421.0	False	2	3	Grunwald	16
+270000.0	True	2	2	Jeżyce	49
+470000.0	True	2	4	Centrum	42
+293436.0	False	2	11	Grunwald	16
+347193.0	False	3	11	Grunwald	7
+347193.0	False	3	11	Grunwald	7
+321904.0	False	2	4	Winogrady	92
+455348.0	False	3	0	Centrum	61
+331226.0	False	3	2	Starołęka	95
+557338.0	False	3	3	Centrum	4
+460499.0	False	3	1	Centrum	51
+245000.0	True	2	3	Grunwald	30
+597184.0	False	3	4	Stare	61
+597184.0	False	3	4	Stare	61
+557338.0	False	3	3	Centrum	4
+157039.0	False	2	4	Nowe	63
+522235.0	False	3	2	Stare	62
+294840.0	False	2	4	Winogrady	50
+442080.0	False	3	1	Starołęka	68
+370597.0	False	2	4	Stare	4
+460499.0	False	3	1	Stare	51
+242731.0	False	2	0	Podolany	74
+771672.0	False	4	4	Górczyn	66
+460499.0	False	3	1	Stare	51
+302887.0	False	2	4	Górczyn	25
+225228.0	False	2	5	Rataje	91
+284618.0	False	2	3	Nowe	55
+356251.0	False	3	14	Grunwald	20
+297420.0	False	2	3	Grunwald	24
+297421.0	False	2	3	Grunwald	16
+317880.0	False	2	2	Grunwald	98
+297421.0	False	2	3	Grunwald	16
+156085.0	False	2	3	Głuszyna	45
+362459.0	False	3	0	Starołęka	80
+285678.0	False	2	1	Winogrady	42
+308237.0	False	2	1	Nowe	85
+244071.0	False	2	1	Nowe	93
+156085.0	False	2	4	Nowe	54
+308237.0	False	2	1	Nowe	85
+244071.0	False	2	1	Nowe	93
+245000.0	True	2	5	Nowe	42
+308237.0	False	2	1	Nowe	85
+156085.0	False	2	3	Głuszyna	45
+297421.0	False	2	3	Grunwald	24
+244071.0	False	2	1	Nowe	93
+290000.0	True	3	2	Jeżyce	81
+279000.0	True	2	2	Wilda	30
+489000.0	True	2	8	Centrum	4
+395000.0	True	4	0	Grunwald	60
+239000.0	True	2	0	Rataje	48
+330000.0	True	3	4	Nowe	59
+370000.0	True	4	4	Stare	76
+380000.0	True	4	0	Stare	74
+319000.0	True	3	4	Rataje	63
+480000.0	True	4	1	Grunwald	64
+478000.0	True	3	3	Centrum	78
+304865.0	False	3	3	Zawady	43
+185000.0	True	2	8	Dębiec	50
+410000.0	True	2	9	Nowe	51
+439000.0	True	2	3	Centrum	86
+319000.0	True	3	3	Wilda	53
+399000.0	True	3	3	Stare	68
+870000.0	True	5	0	Grunwald	156
+335000.0	True	3	0	Centrum	65
+278000.0	True	3	2	Rataje	47
+249000.0	True	2	4	Grunwald	43
+379000.0	True	3	0	Wilda	96
+275000.0	True	2	9	Rataje	38
+319000.0	True	2	0	Grunwald	45
+295000.0	True	2	4	Grunwald	53
+195000.0	True	2	2	Nowe	42
+530000.0	True	2	5	Piątkowo	66
+380000.0	True	3	3	Centrum	67
+395000.0	True	2	0	Grunwald	52
+249000.0	True	2	5	Rataje	36
+379000.0	True	3	0	Rataje	30
+399000.0	True	3	1	Grunwald	65
+648263.0	True	3	2	Łazarz	84
+308220.0	True	2	5	Winogrady	70
+288000.0	True	3	4	Winogrady	30
+292020.0	True	2	1	Winogrady	10
+510000.0	True	2	5	Centrum	91
+310000.0	True	3	4	Rataje	10
+333694.0	True	3	0	Jeżyce	68
+232408.0	True	2	0	Stare	38
+392181.0	True	3	4	Winogrady	69
+285382.0	True	2	4	Winogrady	48
+245830.0	True	2	2	Grunwald	40
+410000.0	True	4	2	Nowe	71
+330000.0	True	2	0	Grunwald	68
+350000.0	True	3	4	Jeżyce	20
+245000.0	True	2	5	Rataje	42
+290000.0	True	2	4	Łazarz	36
+360000.0	True	3	0	Centrum	30
+399000.0	False	3	2	Winogrady	98
+348750.0	False	2	3	Centrum	50
+356448.0	False	2	4	Stare	5
+342021.0	False	2	4	Nowe	93
+342021.0	False	2	4	Nowe	93
+342021.0	False	2	4	Nowe	93
+342021.0	False	2	4	Nowe	93
+342021.0	False	2	4	Nowe	93
+638175.0	False	4	3	Nowe	9
+458208.0	False	3	3	Nowe	92
+428090.0	False	3	2	Nowe	85
+428090.0	False	3	1	Nowe	85
+280463.0	False	2	4	Nowe	55
+280000.0	True	3	2	Rataje	20
+347090.0	False	3	1	Winogrady	41
+347090.0	False	3	1	Winogrady	41
+285678.0	False	2	1	Winogrady	82
+347090.0	False	3	1	Winogrady	41
+321656.0	False	2	4	Winogrady	38
+312259.0	False	2	6	Winogrady	60
+317880.0	False	2	2	Grunwald	98
+225228.0	False	2	5	Rataje	91
+356251.0	False	3	14	Grunwald	20
+297420.0	False	2	3	Grunwald	24
+370597.0	False	2	4	Stare	4
+284618.0	False	2	3	Nowe	55
+544008.0	False	4	2	Starołęka	4
+302887.0	False	2	4	Górczyn	25
+156085.0	False	2	4	Nowe	54
+522235.0	False	3	2	Stare	62
+771672.0	False	4	4	Górczyn	66
+442080.0	False	3	1	Starołęka	68
+460499.0	False	3	1	Stare	51
+368712.0	False	2	0	Stare	80
+242731.0	False	2	0	Podolany	74
+560000.0	True	4	0	Naramowice	20
+359000.0	True	3	0	Grunwald	69
+287000.0	True	3	1	Wilda	73
+270000.0	True	2	2	Jeżyce	95
+285000.0	True	2	0	Grunwald	80
+350000.0	True	4	4	Stare	60
+389000.0	True	3	0	Wilda	96
+695000.0	True	3	2	Jeżyce	25
+270000.0	True	2	6	Piątkowo	47
+305000.0	True	2	1	Winogrady	49
+439000.0	True	3	1	Grunwald	10
+415000.0	True	4	7	Piątkowo	63
+268000.0	True	3	4	Jeżyce	42
+270000.0	True	3	4	Rataje	48
+269000.0	True	2	0	Grunwald	46
+360000.0	True	3	1	Rataje	69
+205000.0	True	2	1	Jeżyce	34
+405000.0	True	3	1	Antoninek	70
+295000.0	True	2	0	Winogrady	36
+295000.0	True	2	0	Naramowice	36
+339000.0	True	3	9	Rataje	65
+475000.0	True	4	4	Wilda	120
+359000.0	True	4	0	Winogrady	90
+368567.0	True	3	1	Jeżyce	68
+211189.0	True	2	0	Jeżyce	38
+391729.0	True	3	2	Winogrady	69
+285678.0	True	2	4	Winogrady	48
+469000.0	True	4	2	Jeżyce	87
+259000.0	True	3	4	Stare	60
+470092.78	True	2	3	Centrum	21
+244000.0	True	2	5	Śródka	43
+215000.0	True	2	4	Nowe	14
+488631.0	True	2	5	Centrum	22
+233000.0	True	2	4	Śródka	99
+485017.66	True	2	5	Centrum	77
+450000.0	True	2	3	Centrum	88
+410666.0	True	4	2	Grunwald	71
+327585.0	True	3	6	Grunwald	56
+263000.0	True	2	1	Rataje	45
+270000.0	True	3	4	Rataje	48
+405000.0	True	4	2	Rataje	71
+297421.0	False	2	1	Grunwald	16
+415000.0	True	3	0	Jeżyce	5
+297421.0	False	2	3	Grunwald	16
+991380.0	False	5	1	Starołęka	94
+319998.0	False	3	1	Starołęka	95
+288405.0	False	2	1	Górczyn	37
+375529.0	False	2	3	Centrum	71
+225228.0	False	2	0	Rataje	71
+357692.0	False	3	1	Nowe	31
+310584.0	False	2	1	Nowe	26
+368568.0	False	3	4	Podolany	38
+460499.0	False	3	1	Stare	51
+156085.0	False	2	4	Nowe	54
+771672.0	False	4	4	Górczyn	66
+522235.0	False	3	2	Stare	62
+302887.0	False	2	4	Górczyn	25
+242731.0	False	2	0	Podolany	74
+225228.0	False	2	5	Rataje	91
+356251.0	False	3	14	Grunwald	20
+297420.0	False	2	3	Grunwald	24
+544008.0	False	4	2	Starołęka	4
+284618.0	False	2	3	Nowe	55
+285678.0	False	2	2	Winogrady	42
+174375.0	True	2	3	Centrum	25
+350000.0	True	4	4	Piątkowo	76
+380000.0	True	4	0	Piątkowo	74
+315000.0	True	2	0	Górczyn	48
+362000.0	True	2	1	Centrum	50
+344206.0	True	4	4	Stare	58
+300987.0	True	3	1	Stare	50
+235094.0	True	2	0	Stare	39
+549000.0	True	3	2	Jeżyce	18
+239000.0	True	2	1	Grunwald	44
+379000.0	True	3	1	Naramowice	20
+320000.0	True	2	1	Naramowice	50
+269000.0	True	3	1	Wilda	80
+295000.0	True	3	0	Grunwald	20
+249999.0	True	2	9	Winogrady	38
+330000.0	True	2	3	Piątkowo	50
+360000.0	True	3	2	Rataje	20
+412438.0	True	3	2	Winogrady	71
+291721.0	True	2	5	Stare	44
+354421.0	True	2	5	Stare	54
+399952.0	True	4	1	Grunwald	71
+280000.0	True	2	2	Centrum	40
+200000.0	True	2	2	Dębiec	40
+289000.0	True	2	7	Winiary	49
+279000.0	True	3	10	Rataje	56
+333232.0	True	3	7	Grunwald	56
+489000.0	True	3	0	Jeżyce	10
+375000.0	True	2	1	Piątkowo	48
+259000.0	True	2	2	Centrum	48
+335000.0	True	2	0	Centrum	54
+288000.0	True	3	4	Winogrady	30
+289000.0	True	2	7	Winiary	49
+380000.0	True	3	3	Wilda	67
+419000.0	True	3	4	Wilda	50
+247705.0	True	2	0	Jeżyce	50
+333696.0	True	3	0	Jeżyce	68
+409000.0	True	3	1	Rataje	90
+239000.0	True	2	3	Grunwald	60
+289000.0	True	2	6	Winogrady	48
+326000.0	True	2	1	Winogrady	39
+269000.0	True	2	2	Winogrady	48
+489000.0	True	4	2	Wilda	120
+350000.0	True	4	4	Piątkowo	76
+322663.41	True	2	1	Centrum	14
+368019.41	True	2	4	Centrum	18
+674695.13	True	4	4	Centrum	59
+375000.0	True	4	2	Centrum	72
+378128.09	True	2	3	Centrum	77
+349668.0	True	2	2	Centrum	15
+344296.75	True	2	1	Centrum	5
+353456.63	True	2	3	Centrum	16
+347193.0	False	3	11	Grunwald	7
+557338.0	False	3	3	Centrum	4
+228144.0	False	3	2	Głuszyna	56
+247705.0	False	2	1	Podolany	74
+228144.0	False	3	2	Głuszyna	56
+222050.0	False	2	3	Głuszyna	41
+158682.0	False	2	2	Głuszyna	94
+194000.0	False	2	2	Głuszyna	80
+289170.0	False	2	0	Winogrady	90
+399000.0	False	3	2	Winogrady	98
+305670.0	False	2	3	Grunwald	30
+305670.0	False	2	3	Grunwald	30
+294840.0	False	2	4	Winogrady	50
+597184.0	False	3	4	Stare	61
+460499.0	False	3	1	Stare	51
+347010.0	False	2	10	Grunwald	80
+356251.0	False	3	14	Grunwald	20
+225228.0	False	2	5	Rataje	91
+297420.0	False	2	3	Grunwald	24
+284618.0	False	2	3	Nowe	55
+544008.0	False	4	2	Starołęka	4
+522235.0	False	3	2	Stare	62
+370597.0	False	2	4	Stare	4
+674695.0	False	3	4	Stare	59
+442080.0	False	3	1	Starołęka	68
+771672.0	False	4	4	Górczyn	66
+302887.0	False	2	4	Górczyn	25
+294840.0	False	2	4	Winogrady	50
+305676.0	False	2	5	Winogrady	52
+305676.0	False	2	5	Winogrady	52
+242731.0	False	2	0	Podolany	74
+460499.0	False	3	1	Stare	51
+156085.0	False	2	4	Nowe	54
+242731.0	False	2	0	Podolany	74
+368568.0	False	3	4	Podolany	38
+499000.0	True	3	1	Rataje	50
+275000.0	True	3	1	Wilda	48
+307000.0	True	3	2	Rataje	48
+485000.0	True	2	3	Nowe	50
+288000.0	True	2	4	Naramowice	44
+405000.0	True	4	7	Piątkowo	63
+299000.0	True	2	4	Grunwald	60
+235000.0	True	2	0	Nowe	47
+288000.0	True	3	4	Stare	30
+225288.0	False	2	1	Rataje	91
+287882.0	False	2	1	Starołęka	85
+225288.0	False	2	1	Rataje	91
+652026.0	True	4	3	Stare	89
+476118.0	True	3	1	Stare	78
+349668.0	True	2	2	Stare	15
+318645.0	True	2	2	Stare	30
+290970.0	True	2	0	Stare	60
+354000.0	True	3	1	Stare	60
+260000.0	True	2	0	Stare	47
+670000.0	True	5	1	Stare	152
+360380.0	True	4	4	Wilda	97
+329000.0	True	2	3	Nowe	90
+249000.0	True	2	5	Centrum	20
+319000.0	True	2	3	Jeżyce	40
+493422.0	True	3	1	Centrum	62
+236000.0	True	2	3	Nowe	43
+257697.0	True	2	3	Śródka	21
+234000.0	True	2	2	Śródka	20
+233643.0	True	2	2	Nowe	99
+296810.0	True	2	2	Grunwald	30
+335988.0	True	2	1	Grunwald	41
+453526.5	True	3	6	Grunwald	33
+637135.0	True	3	7	Grunwald	65
+771672.0	True	4	7	Grunwald	68
+329000.0	True	3	8	Piątkowo	63
+399000.0	False	5	0	Szczepankowo	68
+369000.0	True	2	4	Rataje	49
+404000.0	True	2	0	Rataje	49
+389000.0	True	3	4	Rataje	62
+507060.0	True	2	3	Grunwald	77
+390910.0	True	3	1	Grunwald	14
+690000.0	True	6	2	Centrum	170
+355000.0	True	2	0	Podolany	93
+369000.0	True	16	2	Piątkowo	90
+339000.0	True	3	9	Rataje	65
+398000.0	True	2	3	Umultowo	59
+289000.0	True	2	6	Stare	80
+389000.0	True	3	3	Stare	49
+270000.0	True	2	6	Piątkowo	46
+353000.0	True	3	2	Grunwald	73
+413484.5	True	3	4	Grunwald	83
+311046.0	True	2	6	Grunwald	12
+1020000.0	True	3	1	Grunwald	50
+292383.0	True	2	0	Grunwald	41
+307190.0	True	2	4	Grunwald	20
+311975.5	True	2	1	Grunwald	13
+335000.0	True	3	1	Naramowice	60
+289000.0	True	2	1	Winogrady	48
+449000.0	False	5	0	Szczepankowo	68
+285678.0	False	2	1	Winogrady	42
+247705.0	False	2	0	Podolany	74
+211190.0	False	2	0	Podolany	78
+278047.0	False	2	4	Podolany	74
+333694.0	False	3	0	Podolany	38
+333024.0	False	2	1	Stare	51
+319998.0	False	3	1	Starołęka	97
+354420.0	False	2	5	Winogrady	70
+348750.0	False	2	3	Centrum	50
+269000.0	True	2	8	Rataje	90
+370597.0	False	2	4	Stare	4
+242731.0	False	2	0	Podolany	74
+370597.0	False	2	4	Stare	4
+460499.0	False	3	1	Stare	51
+302887.0	False	2	4	Górczyn	25
+225228.0	False	2	5	Rataje	91
+356251.0	False	3	14	Grunwald	20
+156085.0	False	2	4	Nowe	54
+156085.0	False	2	4	Nowe	54
+156085.0	False	2	4	Nowe	54
+544008.0	False	4	2	Starołęka	4
+302887.0	False	2	4	Górczyn	25
+284618.0	False	2	3	Nowe	55
+242731.0	False	2	0	Podolany	74
+546462.0	False	4	0	Jeżyce	74
+493966.0	False	4	0	Jeżyce	79
+332691.0	False	3	0	Jeżyce	58
+335920.0	False	3	0	Jeżyce	68
+334360.0	False	3	1	Jeżyce	44
+329000.0	True	3	3	Jeżyce	54
+299000.0	True	2	3	Naramowice	49
+349000.0	True	3	3	Piątkowo	64
+297421.0	False	2	3	Grunwald	24
+244071.0	False	2	1	Nowe	93
+287882.0	False	2	1	Starołęka	85
+297421.0	False	2	3	Grunwald	24
+297421.0	False	2	3	Grunwald	24
+156085.0	False	2	3	Głuszyna	45
+244071.0	False	2	1	Nowe	93
+330000.0	True	3	1	Dębiec	88
+364000.0	True	3	2	Jeżyce	69
+365000.0	True	3	1	Wilda	46
+380000.0	True	4	0	Piątkowo	74
+270000.0	True	2	6	Piątkowo	46
+330000.0	True	3	4	Rataje	59
+260000.0	True	2	0	Naramowice	47
+425000.0	True	3	1	Rataje	70
+239000.0	True	2	3	Rataje	44
+250000.0	True	2	9	Winogrady	10
+307000.0	True	2	4	Piątkowo	49
+300000.0	True	3	2	Grunwald	49
+295361.0	True	3	2	Stare	48
+242133.0	True	2	0	Jeżyce	38
+391730.0	True	3	2	Winogrady	69
+286860.0	True	2	7	Winogrady	49
+476119.0	True	3	1	Stare	59
+652026.0	True	4	3	Stare	79
+289171.0	True	2	0	Stare	46
+293700.0	True	2	5	Stare	45
+342405.0	True	3	11	Grunwald	54
+297420.0	True	2	1	Grunwald	50
+292100.0	True	2	1	Grunwald	51
+333690.0	True	3	1	Jeżyce	68
+242731.0	True	2	0	Jeżyce	50
+211200.0	True	2	0	Jeżyce	38
+288000.0	True	3	4	Winogrady	30
+245000.0	True	2	0	Naramowice	50
+359600.0	True	2	5	Górczyn	58
+332940.0	True	2	2	Winogrady	70
+248337.0	True	2	3	Winogrady	38
+209000.0	True	2	0	Śródka	14
+341803.78	True	2	8	Winogrady	10
+285000.0	True	2	3	Łazarz	58
+217000.0	True	2	4	Wilda	30
+379000.0	True	4	3	Winogrady	65
+235000.0	True	2	0	Śródka	10
+597184.0	False	3	4	Stare	61
+460499.0	False	3	1	Stare	51
+347010.0	False	2	10	Grunwald	80
+282994.0	False	2	0	Starołęka	59
+297420.0	False	2	3	Grunwald	24
+522235.0	False	3	2	Stare	62
+368568.0	False	3	4	Podolany	38
+242731.0	False	2	0	Podolany	74
+460499.0	False	3	1	Stare	51
+771672.0	False	4	4	Górczyn	66
+302887.0	False	2	4	Górczyn	25
+350000.0	True	4	4	Piątkowo	76
+375000.0	True	3	1	Nowe	62
+260000.0	True	2	0	Naramowice	79
+315000.0	True	2	1	Grunwald	49
+375000.0	True	3	1	Rataje	62
+229000.0	True	2	11	Stare	38
+365000.0	True	3	1	Wilda	46
+299000.0	True	2	3	Górczyn	37
+259000.0	True	2	2	Jeżyce	48
+289000.0	True	2	1	Piątkowo	46
+310000.0	True	3	0	Piątkowo	63
+209000.0	True	2	4	Dębiec	6
+249000.0	True	2	0	Nowe	21
+287882.09	True	2	1	Nowe	85
+434201.0	True	4	1	Nowe	54
+482423.0	True	5	2	Nowe	4
+297789.5	True	2	2	Nowe	54
+149000.0	True	2	0	Grunwald	35
+299000.0	True	2	9	Stare	80
+365000.0	True	3	1	Wilda	46
+329000.0	True	2	3	Rataje	90
+337000.0	True	4	4	Rataje	62
+597184.0	False	3	4	Stare	61
+347010.0	False	2	10	Grunwald	80
+460499.0	False	3	1	Stare	51
+597184.0	False	3	4	Stare	61
+300680.0	False	2	2	Starołęka	54
+347010.0	False	2	10	Grunwald	80
+294840.0	False	2	4	Winogrady	50
+368568.0	False	3	4	Podolany	38
+242731.0	False	2	0	Podolany	74
+674695.0	False	3	4	Stare	59
+442080.0	False	3	1	Starołęka	68
+302887.0	False	2	4	Górczyn	25
+294840.0	False	2	4	Winogrady	50
+460499.0	False	3	1	Stare	51
+365000.0	True	3	0	Wilda	10
+195000.0	True	2	0	Winiary	35
+325000.0	True	4	1	Rataje	58
+303287.0	False	2	3	Grunwald	13
+375000.0	True	3	1	Rataje	62
+384000.0	True	3	2	Piątkowo	69
+297421.0	False	2	3	Grunwald	24
+244071.0	False	2	1	Nowe	93
+255000.0	True	2	2	Centrum	90
+285000.0	True	2	0	Grunwald	80
+300000.0	True	3	1	Grunwald	48
+330000.0	True	3	5	Grunwald	58
+330000.0	True	3	5	Grunwald	58
+330000.0	True	3	5	Grunwald	58
+315000.0	True	2	0	Centrum	60
+290000.0	True	2	4	Centrum	36
+245000.0	True	2	7	Ogrody	90
+289000.0	True	2	1	Piątkowo	46
+359000.0	True	2	4	Nowe	90
+339000.0	True	3	1	Nowe	88
+285385.0	True	2	4	Winogrady	48
+308039.0	True	2	0	Winogrady	52
+298982.0	True	2	3	Stare	45
+289170.0	True	2	0	Stare	46
+368568.0	True	3	4	Jeżyce	68
+211195.0	True	2	0	Jeżyce	38
+315000.0	True	2	2	Podolany	52
+267704.0	True	2	3	Grunwald	45
+325313.0	True	3	3	Grunwald	53
+260000.0	True	2	0	Naramowice	47
+349000.0	True	2	3	Jeżyce	56
+499000.0	True	3	1	Rataje	50
+239000.0	True	2	0	Wilda	57
+487000.0	True	3	0	Naramowice	73
+319000.0	True	2	2	Centrum	53
+344152.0	True	3	0	Nowe	80
+357692.0	True	3	2	Nowe	31
+277098.0	True	2	0	Nowe	59
+301794.13	True	2	1	Nowe	26
+533745.0	False	5	2	Starołęka	4
+333694.0	False	3	1	Podolany	32
+333694.0	False	3	1	Piątkowo	38
+380931.0	False	3	3	Starołęka	82
+597184.0	False	3	4	Stare	61
+460499.0	False	3	1	Stare	51
+300680.0	False	2	2	Starołęka	54
+305670.0	False	2	3	Grunwald	30
+390301.0	False	2	4	Stare	61
+370597.0	False	2	4	Stare	4
+192750.0	False	2	1	Głuszyna	55
+460499.0	False	3	1	Stare	51
+242731.0	False	2	0	Podolany	74
+303287.0	False	2	3	Grunwald	13
+318645.0	False	2	2	Winogrady	23
+370597.0	False	2	4	Stare	4
+674695.0	False	3	4	Stare	59
+442080.0	False	3	1	Starołęka	68
+771672.0	False	4	4	Górczyn	66
+771672.0	False	4	4	Górczyn	66
+294840.0	False	2	4	Winogrady	50
+368712.0	False	2	5	Stare	90
+480000.0	True	3	3	Stare	46
+237000.0	True	2	2	Wilda	44
+359000.0	True	4	3	Grunwald	74
+369000.0	True	3	0	Grunwald	87
+369000.0	True	3	0	Grunwald	87
+695000.0	True	3	2	Jeżyce	25
+321239.09	True	2	3	Winogrady	30
+331899.09	True	2	2	Winogrady	30
+334564.09	True	2	1	Winogrady	30
+289800.0	True	2	0	Winogrady	46
+289170.0	True	2	0	Winogrady	90
+345000.0	True	3	3	Stare	50
+499000.0	True	2	8	Centrum	39
+399000.0	True	2	1	Jeżyce	58
+1049000.0	True	3	9	Nowe	113
+729000.0	True	4	3	Stare	130
+254457.0	True	2	5	Nowe	52
+249000.0	True	2	6	Winogrady	48
+320000.0	True	3	3	Nowe	40
+333692.0	True	3	2	Jeżyce	68
+410665.0	True	4	2	Grunwald	71
+293436.0	True	2	1	Grunwald	50
+481904.0	True	3	2	Stare	62
+332940.0	True	2	2	Stare	54
+325249.0	True	3	3	Jeżyce	49
+347096.0	True	3	1	Winogrady	57
+297421.0	False	2	2	Grunwald	24
+570000.0	True	4	3	Centrum	137
+351475.0	False	3	0	Starołęka	80
+294840.0	False	2	4	Winogrady	50
+460499.0	False	3	1	Stare	51
+300680.0	False	2	2	Starołęka	54
+460499.0	False	3	1	Stare	51
+353275.0	False	2	14	Grunwald	74
+294840.0	False	2	4	Winogrady	50
+297420.0	False	2	3	Grunwald	24
+294840.0	False	2	4	Winogrady	50
+302887.0	False	2	4	Górczyn	25
+442080.0	False	3	1	Starołęka	68
+289000.0	True	2	6	Winogrady	48
+289000.0	True	2	6	Winogrady	48
+674695.0	False	3	4	Stare	59
+269000.0	True	2	6	Stare	49
+347010.0	False	2	10	Grunwald	80
+296279.0	True	3	2	Stare	49
+238947.0	True	2	6	Stare	39
+289000.0	True	2	1	Piątkowo	46
+774618.0	False	4	5	Wilda	31
+741099.0	False	4	5	Wilda	22
+460688.0	False	3	4	Wilda	25
+300723.0	False	2	4	Wilda	97
+349610.0	False	2	4	Wilda	59
+564000.0	False	5	0	Biedrusko	90
+618933.0	False	4	4	Wilda	37
+399000.0	False	4	0	Biedrusko	34
+564000.0	False	5	0	Biedrusko	90
+359000.0	False	3	0	Biedrusko	80
+524808.0	False	3	4	Wilda	92
+359000.0	False	4	1	Biedrusko	86
+360000.0	True	3	3	Jeżyce	62
+499000.0	False	2	2	Stare	45
+664443.0	False	3	3	Stare	24
+526049.0	False	2	3	Stare	45
+709116.0	False	3	4	Stare	88
+347182.0	False	4	1	Biedrusko	70
+335925.0	False	4	1	Biedrusko	70
+335925.0	False	4	1	Biedrusko	70
+335925.0	False	4	1	Biedrusko	70
+335925.0	False	4	1	Biedrusko	70
+453929.0	False	3	3	Wilda	26
+387000.0	False	4	1	Biedrusko	86
+309276.0	False	2	3	Wilda	12
+486720.0	False	3	3	Wilda	60
+325440.0	False	3	0	Biedrusko	80
+484068.0	False	3	3	Wilda	6
+306675.0	False	3	0	Biedrusko	20
+663205.0	False	4	3	Wilda	85
+447038.0	False	3	2	Wilda	25
+306675.0	False	3	0	Biedrusko	20
+306675.0	False	3	0	Biedrusko	20
+481522.0	False	3	2	Wilda	82
+306675.0	False	3	0	Biedrusko	20
+356400.0	False	2	2	Wilda	52
+325440.0	False	3	0	Biedrusko	80
+510984.0	False	3	2	Wilda	97
+272000.0	False	3	2	Biedrusko	31
+289000.0	False	3	1	Biedrusko	39
+289000.0	False	3	1	Biedrusko	39
+319000.0	False	3	0	Biedrusko	49
+329000.0	False	3	0	Biedrusko	49
+289000.0	True	2	1	Piątkowo	46
+289000.0	True	2	1	Piatkowo	46
+125000.0	True	5	3	Grunwald	22
+625000.0	True	5	3	Grunwald	105
+643000.0	True	4	0	Naramowice	60
+215000.0	True	2	2	Centrum	39
+399000.0	True	4	0	Centrum	70
+435000.0	True	3	1	Grunwald	10
+289000.0	True	3	4	Naramowice	40
+515000.0	True	3	0	Rataje	71
+310000.0	True	2	4	Jeżyce	55
+348000.0	True	3	9	Rataje	65
+340000.0	True	3	8	Rataje	65
+325248.0	True	3	1	Jeżyce	49
+262875.0	True	2	4	Jeżyce	40
+325248.0	True	3	1	Jeżyce	49
+262874.0	True	2	4	Jeżyce	40
+253498.0	True	2	4	Jeżyce	38
+253193.0	True	2	6	Jeżyce	38
+253193.0	True	2	4	Jeżyce	38
+220000.0	True	2	1	Łazarz	45
+230000.0	True	2	2	Rataje	49
+293848.0	True	3	4	Winogrady	49
+305000.0	True	3	4	Jeżyce	84
+245000.0	True	2	2	Jeżyce	62
+205000.0	True	2	0	Jeżyce	43
+269000.0	True	2	13	Piątkowo	50
+249000.0	True	2	2	Strzeszyn	34
+330000.0	True	3	6	Rataje	80
+200000.0	True	2	0	Wilda	32
+270000.0	True	3	4	Rataje	48
+617360.0	True	3	3	Grunwald	77
+279554.0	True	2	4	Jeżyce	68
+279554.0	True	2	4	Jeżyce	68
+550000.0	True	3	1	Grunwald	73
+355000.0	True	2	8	Ogrody	52
+210000.0	True	2	10	Ogrody	38
+234000.0	True	2	0	Wilda	37
+375000.0	True	3	2	Wilda	90
+345000.0	True	3	6	Winogrady	10
+320000.0	True	3	4	Piątkowo	63
+239000.0	True	2	8	Winogrady	38
+350000.0	True	4	4	Piątkowo	74
+295363.0	True	3	1	Stare	48
+285384.0	True	2	4	Winogrady	48
+392861.0	True	3	3	Winogrady	69
+399000.0	True	2	0	Podolany	63
+518000.0	True	2	4	Centrum	2
+495000.0	True	3	0	Rataje	69
+405000.0	True	3	3	Jeżyce	63
+269000.0	True	2	1	Rataje	50
+481903.0	True	3	2	Stare	62
+269000.0	True	2	4	Grunwald	38
+404000.0	True	3	2	Piątkowo	60
+549000.0	True	3	2	Dąbrowskiego	106
+489000.0	True	3	0	Stare	70
+358000.0	True	4	3	Grunwald	74
+379000.0	True	3	1	Naramowice	20
+269000.0	True	3	11	Grunwald	50
+197000.0	True	2	3	Grunwald	40
+362459.0	False	3	0	Starołęka	80
+353275.0	False	2	14	Grunwald	74
+351475.0	False	3	0	Starołęka	80
+225228.0	False	2	5	Rataje	91
+394000.0	False	4	0	Szczepankowo	77
+287882.0	False	2	1	Starołęka	85
+349000.0	True	3	4	Wilda	75
+255000.0	True	2	3	Rataje	46
+460040.0	True	3	5	Górczyn	20
+321656.0	True	2	1	Winogrady	88
+326000.0	True	2	1	Winiary	39
+285000.0	True	2	3	Naramowice	5
+399000.0	True	4	0	Stary	70
+349000.0	True	3	3	Nowe	87
+585000.0	True	4	1	Stare	100
+510000.0	True	3	2	Stare	68
+409000.0	True	4	3	Centrum	111
+310000.0	True	2	0	Grunwald	60
+308039.0	True	2	0	Winogrady	21
+286858.0	True	2	7	Winogrady	62
+279000.0	True	3	0	Piątkowo	50
+347090.0	False	3	1	Winogrady	90
+241187.0	True	2	7	Stare	39
+350875.0	True	3	1	Rataje	56
+296279.0	True	3	3	Stare	49
+293900.0	True	3	4	Stare	49
+315812.0	True	4	8	Stare	52
+374791.0	True	4	5	Jeżyce	57
+278048.0	True	2	4	Jeżyce	50
+371931.0	True	4	4	Jeżyce	57
+242000.0	True	2	1	Jeżyce	38
+308220.0	False	2	5	Stare	70
+339000.0	True	3	1	Rataje	66
+460499.0	False	3	1	Stare	51
+349668.0	False	2	2	Stare	15
+300680.0	False	2	2	Starołęka	54
+557338.0	False	3	3	Stare	4
+349332.0	True	3	0	Jeżyce	16
+271236.0	True	2	2	Jeżyce	41
+329000.0	True	3	1	Jeżyce	112
+199000.0	True	2	2	Grunwald	38
+475000.0	True	3	1	Naramowice	68
+379000.0	True	5	3	Winogrady	65
+270000.0	True	2	2	Stare	95
+210000.0	True	2	2	Dębiec	40
+379000.0	True	2	3	Winogrady	48
+440000.0	True	2	2	Stare	90
+750000.0	True	5	2	Jeżyce	136
+425000.0	True	4	6	Nowe	85
+539000.0	True	4	1	Centrum	110
+1300000.0	True	2	1	Grunwald	100
+340000.0	True	3	0	Grunwald	98
+360000.0	True	3	4	Jeżyce	50
+259000.0	True	2	0	Grunwald	52
+295000.0	True	2	1	Wilda	51
+487000.0	True	3	0	Naramowice	73
+487000.0	True	3	0	Naramowice	73
+285000.0	True	3	2	Rataje	10
+605000.0	True	3	0	Grunwald	98
+209000.0	True	3	3	Grunwald	49
+242406.0	True	2	0	Jeżyce	36
+380000.0	True	2	2	Wilda	10
+268000.0	True	3	4	Jeżyce	50
+286446.0	True	2	2	Winogrady	49
+392181.0	True	3	4	Winogrady	69
+300987.0	True	3	3	Stare	50
+240876.0	True	2	7	Stare	39
+298980.0	True	2	5	Stare	45
+293700.0	True	2	5	Stare	45
+375960.0	True	4	2	Grunwald	71
+377918.0	True	3	2	Grunwald	71
+292100.0	True	2	1	Grunwald	51
+476118.0	True	3	1	Stare	59
+396248.0	True	2	4	Stare	52
+278046.0	True	2	1	Jeżyce	50
+211191.0	True	2	0	Jeżyce	38
+362458.0	True	3	0	Nowe	68
+288523.0	True	2	0	Nowe	54
+282998.0	True	2	0	Nowe	55
+247705.0	False	2	1	Podolany	74
+637135.0	False	3	7	Grunwald	65
+349000.0	False	4	0	Szczepankowo	29
+285678.0	False	2	1	Winogrady	42
+277823.0	False	2	2	Podolany	70
+424377.0	False	4	2	Starołęka	14
+282944.0	False	2	0	Starołęka	59
+460499.0	False	3	1	Stare	51
+289170.0	False	2	0	Winogrady	90
+339000.0	True	3	9	Nowe	65
+351475.0	False	3	0	Starołęka	80
+349000.0	True	3	3	Nowe	63
+349000.0	False	4	0	Szczepankowo	29
+247831.0	False	2	5	Głuszyna	73
+353275.0	False	2	14	Grunwald	74
+353275.0	False	2	14	Grunwald	74
+349000.0	False	4	0	Szczepankowo	29
+225288.0	False	2	1	Rataje	91
+285678.0	False	2	1	Winogrady	42
+225228.0	False	2	5	Rataje	91
+297421.0	False	2	3	Grunwald	24
+294840.0	False	2	4	Winogrady	50
+300680.0	False	2	2	Starołęka	54
+349668.0	False	2	2	Stare	15
+476780.0	True	2	2	Centrum	90
+239000.0	True	2	10	Rataje	44
+359000.0	True	3	2	Jeżyce	58
+207000.0	True	2	2	Zawady	42
+282995.0	True	2	0	Starołęka	59
+626800.0	True	3	7	Stare	68
+439000.0	True	4	2	Grunwald	92
+569000.0	True	4	0	Wilda	30
+313000.0	True	2	4	Stare	20
+396565.0	True	3	2	Jeżyce	61
+405860.0	True	2	1	Jeżyce	44
+519000.0	True	3	3	Grunwald	104
+265000.0	True	3	1	Winogrady	53
+530000.0	True	4	3	Naramowice	102
+390000.0	True	3	2	Podolany	68
+305000.0	True	2	1	Winiary	48
+215000.0	True	2	2	Łazarz	39
+250000.0	True	2	3	Centrum	33
+489000.0	True	2	4	Nowe	51
+495000.0	True	3	1	Centrum	86
+499000.0	True	3	2	Rataje	64
+339000.0	True	3	9	Rataje	65
+319000.0	True	3	1	Piątkowo	64
+310000.0	True	3	0	Piątkowo	50
+270000.0	True	3	4	Rataje	48
+330000.0	True	4	0	Naramowice	68
+255000.0	True	2	0	Grunwald	48
+333000.0	True	3	7	Rataje	78
+255000.0	True	2	2	Dębiec	48
+225000.0	True	2	3	Nowe	36
+326000.0	True	2	1	Winiary	39
+480000.0	True	3	2	Grunwald	87
+399000.0	True	3	3	Centrum	50
+980000.0	True	6	0	Naramowice	193
+350000.0	True	3	5	Stare	48
+410000.0	True	5	0	Łazarz	114
+279000.0	True	2	1	Podolany	45
+357693.0	True	3	2	Nowe	64
+424379.0	True	4	2	Nowe	74
+533746.0	True	5	2	Nowe	95
+282997.0	True	2	0	Nowe	55
+232049.0	True	2	0	Stare	36
+289800.0	True	2	0	Stare	46
+289170.0	True	2	0	Stare	46
+300988.0	True	3	1	Stare	50
+223752.0	True	2	0	Stare	37
+285680.0	True	2	4	Winogrady	48
+391730.0	True	3	2	Winogrady	69
+318383.0	True	3	3	Jeżyce	48
+266320.0	True	2	5	Jeżyce	41
+242407.0	True	2	0	Jeżyce	36
+245000.0	True	2	2	Winogrady	38
+239000.0	True	2	4	Rataje	38
+258000.0	True	2	1	Wilda	49
+269000.0	True	2	9	Nowe	49
+410000.0	True	2	5	Malta	53
+349000.0	True	3	2	Górczyn	55
+210000.0	True	2	2	Zawady	42
+329000.0	True	3	3	Piątkowo	60
+539000.0	True	3	1	Nowe	70
+335000.0	True	4	4	Rataje	50
+305000.0	True	2	1	Sołacz	48
+239000.0	True	2	3	Winogrady	10
+269000.0	True	2	0	Grunwald	20
+269000.0	True	3	1	Wilda	68
+429000.0	True	3	3	Centrum	102
+219000.0	True	2	2	Rataje	38
+1200000.0	True	4	2	Jeżyce	188
+350000.0	True	3	0	Winogrady	48
+250000.0	True	2	4	Rataje	44
+410000.0	True	2	9	Rataje	51
+485000.0	False	2	4	Łazarz	80
+409240.0	False	2	3	Piątkowo	67
+454960.0	False	2	1	Łazarz	87
+384500.0	False	2	3	Piątkowo	50
+392420.0	False	2	3	Piątkowo	70
+295020.0	False	2	2	Piątkowo	70
+298320.0	False	2	2	Piątkowo	20
+295020.0	False	2	1	Piątkowo	70
+298320.0	False	2	1	Piątkowo	20
+297000.0	False	2	1	Piątkowo	45
+286080.0	False	2	0	Piątkowo	70
+293800.0	False	2	0	Piątkowo	20
+292500.0	False	2	0	Piątkowo	45
+300950.0	False	2	0	Piątkowo	30
+227500.0	False	2	3	Piątkowo	20
+427060.0	False	2	3	Piątkowo	50
+699000.0	True	4	2	Naramowice	92
+409240.0	False	2	3	Piątkowo	67
+287760.0	False	2	2	Piątkowo	60
+278720.0	False	2	2	Piątkowo	60
+287100.0	False	2	2	Piątkowo	50
+240000.0	True	2	0	Grunwald	60
+295020.0	False	2	2	Piątkowo	70
+287760.0	False	2	1	Piątkowo	60
+278720.0	False	2	1	Piątkowo	60
+287100.0	False	2	1	Piątkowo	50
+360000.0	True	2	5	Grunwald	41
+304920.0	False	2	1	Piątkowo	20
+295020.0	False	2	1	Piątkowo	70
+239000.0	True	2	4	Rataje	38
+360000.0	True	3	1	Jeżyce	20
+350000.0	True	4	4	Stare	60
+450000.0	True	2	2	Stare	40
+211190.0	False	2	0	Piątkowo	78
+294840.0	False	2	4	Winogrady	50
+399000.0	False	3	2	Winogrady	98
+299514.0	False	2	1	Starołęka	85
+299000.0	True	2	4	Grunwald	37
+287000.0	True	2	16	Rataje	49
+420000.0	True	4	3	Łazarz	104
+274900.0	True	2	13	Nowe	80
+720000.0	True	4	0	Centrum	163
+339000.0	True	3	1	Rataje	66
+480000.0	True	2	2	Grunwald	10
+283400.0	False	2	0	Piątkowo	60
+282750.0	False	2	0	Piątkowo	50
+300300.0	False	2	0	Piątkowo	20
+286080.0	False	2	0	Piątkowo	70
+210000.0	True	2	2	Zawady	42
+320000.0	True	2	4	Winogrady	57
+410000.0	True	2	5	Rataje	50
+315000.0	True	3	0	Stare	63
+365000.0	True	2	1	Jeżyce	56
+340000.0	True	3	9	Rataje	30
+339000.0	True	3	9	Rataje	65
+325000.0	True	3	7	Rataje	90
+349000.0	True	3	2	Górczyn	55
+375000.0	True	4	2	Centrum	72
+269000.0	True	3	3	Winogrady	48
+495000.0	True	4	3	Naramowice	104
+329000.0	True	3	3	Wilda	82
+385000.0	True	3	0	Łazarz	80
+395000.0	True	2	1	Stare	30
+285000.0	True	2	3	Wilda	43
+325000.0	True	2	3	Centrum	57
+305000.0	True	2	1	Sołacz	48
+339000.0	True	3	0	Rataje	20
+480000.0	True	3	1	Grunwald	40
+630000.0	True	4	0	Stare	84
+275000.0	True	2	2	Plewiska	62
+350000.0	True	2	4	Jeżyce	56
+488000.0	True	3	3	Grunwald	70
+305000.0	True	2	1	Winiary	48
+255000.0	True	2	4	Rataje	70
+285000.0	True	3	0	Wilda	61
+282995.0	True	2	0	Starołęka	59
+263000.0	True	3	4	Grunwald	48
+380931.0	False	3	3	Starołęka	82
+329000.0	True	2	3	Rataje	49
+325000.0	True	3	7	Rataje	90
+350000.0	True	3	0	Starołęka	44
+268000.0	True	2	0	Rataje	43
+253000.0	True	2	4	Grunwald	42
+269000.0	True	2	1	Rataje	50
+325000.0	True	3	7	Rataje	63
+300000.0	True	3	6	Wilda	50
+329000.0	True	3	1	Piątkowo	63
+415000.0	True	2	5	Nowe	53
+270000.0	True	3	4	Rataje	47
+300000.0	True	3	6	Wilda	50
+690000.0	True	5	1	Jeżyce	70
+250000.0	True	2	5	Wilda	12
+344000.0	True	2	2	Wilczak	50
+329000.0	True	3	3	Piątkowo	60
+978009.0	False	4	7	Grunwald	2
+864244.5	False	4	7	Grunwald	71
+329000.0	True	3	1	Piątkowo	63
+255000.0	True	2	2	Dębiec	48
+279999.0	True	2	1	Piątkowo	90
+245000.0	True	2	2	Winogrady	20
+510000.0	True	3	3	Grunwald	79
+380000.0	True	2	1	Centrum	67
+355000.0	False	3	0	Stare	61
+355000.0	False	3	0	Podolany	61
+430000.0	False	4	0	Stare	75
+430000.0	False	4	0	Podolany	75
+475000.0	False	4	0	Stare	72
+475000.0	False	4	0	Podolany	72
+455000.0	False	4	0	Stare	72
+455000.0	False	4	0	Podolany	72
+495000.0	False	4	0	Stare	7
+495000.0	False	4	0	Podolany	7
+652100.0	False	4	3	Stare	79
+476200.0	False	3	1	Stare	59
+476200.0	False	3	1	Chwaliszewo	59
+349700.0	False	2	2	Stare	15
+349700.0	False	2	2	Centrum	15
+340000.0	True	3	0	Stare	80
+555000.0	True	5	3	Piątkowo	125
+255000.0	True	2	2	Dębiec	48
+295000.0	True	3	2	Os	20
+295000.0	True	3	2	Os	20
+210000.0	True	2	0	Wilda	36
+239000.0	True	2	1	Grunwald	60
+269000.0	True	2	1	Stare	70
+460040.0	False	3	5	Grunwald	20
+399000.0	False	5	0	Szczepankowo	68
+372651.0	True	2	1	Stare	5
+349668.0	True	2	2	Stare	15
+282390.0	True	2	3	Stare	64
+597184.0	True	2	4	Stare	61
+320000.0	True	2	1	Grunwald	30
+269000.0	True	2	16	Rataje	49
+359000.0	True	2	1	Jeżyce	40
+285000.0	True	3	0	Dębiec	50
+290000.0	True	2	3	Stare	60
+320000.0	True	3	1	Grunwald	78
+344000.0	True	2	2	Wilczak	50
+395000.0	True	2	1	Stare	30
+299000.0	True	2	0	Dębiec	52
+495000.0	True	4	3	Jeżyce	107
+319000.0	True	2	1	Grunwald	52
+395000.0	True	2	1	Naramowice	30
+319000.0	True	2	1	Grunwald	52
+269000.0	True	2	0	Grunwald	46
+380000.0	True	4	6	Piątkowo	90
+297297.0	False	2	4	Podolany	82
+33760350.0	False	3	4	Podolany	71
+420000.0	True	3	1	Stare	60
+3559725.0	False	3	4	Podolany	85
+3559725.0	False	3	4	Podolany	85
+259000.0	True	2	1	Stare	60
+465000.0	True	3	3	Nowe	71
+282994.0	False	2	0	Starołęka	59
+300680.0	False	2	2	Starołęka	54
+349000.0	False	4	0	Szczepankowo	29
+277823.0	False	2	2	Podolany	70
+424377.0	False	4	2	Starołęka	14
+282944.0	False	2	0	Starołęka	59
+380000.0	True	3	3	Piątkowo	90
+270000.0	True	3	1	Starołęka	30
+365000.0	True	2	2	Grunwald	51
+550000.0	True	3	2	Stare	101
+300000.0	True	2	1	Naramowice	52
+450000.0	True	4	1	Grunwald	113
+490000.0	True	4	0	Naramowice	40
+216500.0	True	2	3	Nowe	30
+244071.0	True	2	1	Nowe	93
+192750.0	True	2	1	Nowe	55
+156562.0	True	2	1	Nowe	54
+350000.0	True	4	4	Piątkowo	76
+329000.0	True	3	3	Piątkowo	60
+298000.0	True	2	4	Wilda	45
+374000.0	True	3	4	Wilczak	30
+460000.0	True	2	2	Centrum	56
+288000.0	True	3	4	Winogrady	30
+400000.0	True	2	1	Świerczewo	60
+220000.0	True	2	4	Grunwald	43
+290000.0	True	2	4	Grunwald	53
+298000.0	True	2	4	Wilda	45
+439000.0	True	2	3	Jeżyce	60
+237000.0	True	2	2	Dębiec	44
+180000.0	True	3	2	Wilda	35
+330000.0	True	2	1	Jeżyce	50
+348000.0	True	3	9	Rataje	65
+439000.0	True	4	2	Grunwald	89
+269000.0	True	2	6	Rataje	70
+360000.0	True	3	3	Stare	63
+1000000.0	True	4	1	Centrum	103
+649400.0	False	3	4	Rataje	50
+311570.0	False	2	4	Rataje	51
+386883.0	False	3	4	Rataje	7
+383928.0	False	3	3	Rataje	46
+294906.0	False	2	3	Rataje	74
+309741.0	False	2	3	Rataje	89
+295734.0	False	2	3	Rataje	86
+384540.0	False	3	3	Rataje	55
+377947.0	False	3	2	Rataje	41
+310707.0	False	2	2	Rataje	3
+296631.0	False	2	2	Rataje	99
+380091.0	False	3	2	Rataje	73
+375672.0	False	3	1	Rataje	92
+293352.0	False	2	1	Rataje	14
+307156.0	False	2	1	Rataje	17
+293352.0	False	2	1	Rataje	14
+535000.0	True	2	3	Łazarz	59
+375606.0	False	3	1	Rataje	91
+293488.0	False	3	0	Rataje	94
+293488.0	False	2	0	Rataje	57
+260000.0	True	2	3	Rataje	38
+307428.0	False	2	0	Rataje	21
+293488.0	False	2	0	Rataje	16
+375408.0	False	3	0	Rataje	88
+325000.0	True	2	0	Rataje	47
+405000.0	True	3	2	Rataje	70
+360000.0	True	3	2	Rataje	20
+275000.0	True	2	13	Rataje	49
+410000.0	True	2	5	Rataje	30
+243828.0	False	2	4	Podolany	68
+398853.0	False	3	3	Podolany	18
+421258.0	False	4	3	Podolany	1
+348835.0	False	3	3	Podolany	63
+273546.0	False	2	3	Podolany	76
+256171.0	False	2	3	Podolany	79
+298116.0	False	2	3	Podolany	96
+306247.0	False	2	3	Podolany	35
+337602.0	False	3	3	Podolany	71
+357084.0	False	3	3	Podolany	4
+244647.0	False	2	3	Podolany	82
+641000.0	True	3	3	Łazarz	75
+277000.0	True	2	10	Nowe	80
+450000.0	True	2	2	Grunwald	70
+242000.0	True	2	1	Grunwald	52
+310000.0	True	3	4	Jeżyce	50
+475000.0	True	3	4	Wilda	66
+475000.0	True	3	4	Wilda	66
+120000.0	True	3	3	Grunwald	35
+120000.0	True	3	3	Grunwald	35
+1850000.0	True	5	1	Grunwald	196
+350000.0	True	4	4	Grunwald	50
+280000.0	True	4	4	Grunwald	40
+490000.0	True	4	4	Grunwald	70
+495000.0	True	3	1	Naramowice	70
+545000.0	True	3	0	Rataje	71
+310000.0	True	3	10	Rataje	80
+209000.0	True	2	0	Wilda	36
+295000.0	True	2	4	Garbary	33
+200000.0	True	2	8	Dębiec	50
+359900.0	True	4	4	Rataje	74
+320000.0	True	3	3	Jeżyce	70
+300000.0	True	2	1	Naramowice	23
+535000.0	True	4	2	Wilda	120
+620000.0	True	3	2	Naramowice	60
+495000.0	True	4	1	Naramowice	10
+240000.0	True	2	10	Rataje	36
+597000.0	True	3	0	Naramowice	60
+260000.0	True	2	0	Rataje	40
+399000.0	True	3	0	Winogrady	62
+275000.0	True	3	7	Wilda	20
+350000.0	True	2	2	Piątkowo	50
+429000.0	True	3	0	Grunwald	75
+380000.0	True	3	8	Rataje	80
+295000.0	True	2	1	Rataje	30
+339000.0	True	3	1	Rataje	88
+382000.0	True	3	3	Centrum	30
+299000.0	True	2	2	Sołacz	58
+499000.0	True	3	1	Grunwald	64
+549000.0	True	3	2	Jeżyce	106
+239000.0	True	2	1	Grunwald	36
+295000.0	True	3	2	Grunwald	49
+470000.0	True	4	2	Sołacz	87
+413000.0	True	3	3	Łazarz	46
+259000.0	True	2	1	Jeżyce	47
+348000.0	True	3	9	Nowe	65
+259000.0	True	2	0	Ławica	60
+269000.0	True	2	9	Rataje	49
+224000.0	True	2	0	Łazarz	50
+260000.0	True	3	4	Grunwald	49
+315000.0	True	3	0	Piątkowo	60
+379999.0	True	3	3	Wilda	67
+350000.0	True	2	1	Rataje	63
+270000.0	True	2	4	Grunwald	38
+250000.0	True	3	3	Rataje	53
+439000.0	True	4	2	Łazarz	92
+499000.0	True	3	1	Rataje	50
+290000.0	True	2	2	Dębiec	66
+320000.0	True	2	4	Łazarz	80
+379000.0	True	3	0	Wilda	67
+399000.0	True	3	2	Dębiec	91
+220000.0	True	2	4	Grunwald	43
+268000.0	True	3	4	Jeżyce	50
+399000.0	True	3	1	Bonin	68
+329000.0	True	3	4	Rataje	63
+353457.0	False	2	3	Stare	16
+347900.0	True	3	3	Nowe	10
+237000.0	True	2	2	Dębiec	44
+399000.0	True	3	1	Sołacz	66
+488000.0	True	3	3	Grunwald	70
+220000.0	True	2	4	Grunwald	43
+390000.0	True	3	2	Podolany	68
+299000.0	True	2	0	Wilda	52
+320000.0	True	3	4	Winogrady	50
+370000.0	True	4	4	Piątkowo	73
+339000.0	True	3	9	Rataje	65
+348000.0	True	3	9	Rataje	65
+420000.0	False	4	0	Grunwald	82
+495000.0	True	4	1	Stare	98
+329000.0	True	2	1	Stare	54
+699000.0	True	3	2	Stare	92
+487000.0	True	3	0	Stare	73
+375000.0	True	3	0	Naramowice	69
+270000.0	True	3	4	Rataje	48
+230000.0	True	2	1	Dębiec	38
+498000.0	True	4	4	Centrum	85
+390000.0	True	3	2	Podolany	68
+330000.0	True	4	2	Rataje	62
+299000.0	True	3	6	Jeżyce	70
+270000.0	True	3	4	Rataje	48
+390000.0	True	3	2	Podolany	68
+269000.0	True	2	2	Sołacz	49
+270000.0	True	3	4	Rataje	48
+232034.0	True	2	1	Starołęka	86
+265000.0	True	2	4	Winiary	10
+475000.0	True	2	4	Centrum	54
+585000.0	True	4	1	Piątkowo	100
+260000.0	True	2	0	Naramowice	46
+350000.0	True	4	4	Stare	76
+430000.0	True	2	5	Wilda	57
+366770.0	True	3	1	Winogrady	10
+285200.0	True	2	1	Winogrady	46
+319055.0	True	3	3	Grunwald	21
+307881.0	True	3	0	Grunwald	16
+267702.0	True	2	2	Grunwald	22
+239592.0	True	2	5	Grunwald	59
+375529.0	False	2	3	Stare	71
+247705.0	False	2	1	Podolany	74
+247705.0	False	2	1	Piątkowo	74
+411684.0	False	3	3	Winogrady	17
+349000.0	False	4	0	Szczepankowo	29
+277823.0	False	2	2	Podolany	70
+424377.0	False	4	2	Starołęka	14
+282944.0	False	2	0	Starołęka	59
+270000.0	True	3	0	Grunwald	48
+350000.0	True	4	1	Wilda	80
+340000.0	True	4	4	Winogrady	90
+599000.0	True	4	4	Centrum	109
+369000.0	True	3	0	Wilda	30
+549000.0	True	3	3	Grunwald	60
+345865.0	True	3	2	Jeżyce	21
+261000.0	True	2	2	Jeżyce	57
+410000.0	True	3	2	Jeżyce	74
+339000.0	True	2	2	Centrum	53
+399000.0	True	3	1	Grunwald	65
+410000.0	True	2	2	Jeżyce	74
+295000.0	True	2	2	Raszyn	50
+240000.0	True	2	16	Rataje	36
+250000.0	True	2	4	Rataje	23
+245000.0	True	2	4	Rataje	44
+269000.0	True	2	9	Rataje	49
+240000.0	True	2	2	Dębiec	48
+262000.0	True	2	4	Grunwald	60
+349000.0	True	3	1	Grunwald	57
+365000.0	True	3	1	Rataje	67
+409000.0	True	3	1	Malta	90
+298000.0	True	2	1	Łazarz	55
+599000.0	True	3	3	Grunwald	83
+289000.0	True	2	2	Jeżyce	42
+390000.0	True	3	3	Naramowice	48
+270000.0	True	2	2	Bonin	49
+250000.0	True	2	0	Naramowice	40
+350000.0	True	3	1	Naramowice	51
+270000.0	True	2	2	Sołacz	49
+260000.0	True	2	0	Rataje	46
+339000.0	True	3	9	Rataje	65
+348000.0	True	3	9	Rataje	65
+329000.0	True	3	2	Rataje	59
+230000.0	True	2	1	Dębiec	37
+238000.0	True	2	2	Grunwald	37
+392000.0	True	4	0	Piątkowo	74
+200000.0	True	2	0	Rataje	30
+370000.0	True	4	2	Piątkowo	74
+347000.0	True	3	1	Naramowice	47
+432000.0	True	2	5	Centrum	40
+435000.0	True	3	1	Piątkowo	84
+389000.0	True	2	1	Podolany	46
+799999.0	True	3	1	Sołacz	90
+248000.0	True	3	0	Jeżyce	74
+266000.0	True	2	2	Piątkowo	49
+316498.0	True	2	2	Stare	77
+519000.0	True	3	1	Rataje	50
+442150.0	True	2	2	Stare	75
+395000.0	True	3	2	Centrum	74
+599000.0	True	2	1	Centrum	70
+550.0	True	5	3	Naramowice	15
+499000.0	True	3	0	Grunwald	10
+499000.0	True	3	0	Grunwald	10
+459000.0	True	2	1	Centrum	48
+365000.0	True	3	2	Jeżyce	50
+375000.0	True	3	2	Jeżyce	50
+450000.0	True	3	11	Jeżyce	50
+289000.0	True	2	4	Ogrody	41
+230000.0	True	2	5	Winogrady	60
+440000.0	True	2	4	Centrum	55
+599000.0	True	3	2	Centrum	80
+343200.0	True	3	4	Winogrady	52
+435000.0	True	3	5	Wilda	70
+385000.0	True	2	1	Centrum	60
+300000.0	True	3	3	Centrum	88
+550000.0	True	3	1	Junikowo	84
+529000.0	True	4	4	Centrum	85
+460000.0	True	4	2	Bonin	87
+335000.0	True	3	3	Wilda	82
+405000.0	True	4	2	Nowe	71
+379000.0	True	3	0	Wilda	67
+379000.0	True	3	3	Winiary	55
+360000.0	True	3	4	Rataje	69
+495000.0	True	4	1	Grunwald	64
+285000.0	True	2	3	Wilda	60
+379999.0	True	3	3	Wilda	67
+370000.0	True	2	13	Rataje	67
+700000.0	True	4	1	Górczyn	160
+479000.0	True	3	3	Górczyn	70
+385000.0	True	3	0	Łazarz	80
+550000.0	True	4	1	Łazarz	50
+260000.0	True	3	4	Grunwald	47
+755000.0	True	4	2	Łazarz	90
+319000.0	True	2	0	Górczyn	54
+485000.0	True	2	2	Centrum	55
+485000.0	True	2	2	Centrum	55
+576500.0	True	2	5	Centrum	50
+576500.0	True	2	5	Chwaliszewo	50
+339000.0	True	2	5	Górczyn	41
+438503.0	True	3	2	Centrum	57
+419000.0	True	2	0	Rataje	55
+354454.0	False	2	3	Grunwald	17
+363258.0	False	2	1	Górczyn	59
+489780.0	False	4	2	Górczyn	63
+491520.0	False	4	1	Górczyn	92
+273875.5	False	2	1	Grunwald	13
+267000.0	True	2	2	Dębiec	35
+260000.0	True	2	2	Piątkowo	90
+587000.0	True	4	3	Łazarz	38
+460000.0	True	3	1	Naramowice	110
+695000.0	True	4	1	Rataje	70
+506657.0	True	4	11	Grunwald	73
+338325.0	True	2	13	Grunwald	5
+249641.0	True	2	0	Ogrody	54
+298250.0	True	2	5	Grunwald	38
+297421.0	True	2	2	Grunwald	24
+275000.0	True	2	9	Nowe	38
+249641.0	True	2	0	Jeżyce	54
+344141.0	True	2	8	Winogrady	47
+318384.0	True	3	6	Jeżyce	24
+269984.0	True	3	4	Winogrady	76
+447000.0	True	3	4	Grunwald	20
+450000.0	True	3	2	Strzeszyn	70
+690000.0	True	4	5	Górczyn	25
+334000.0	True	2	4	Sołacz	50
+289476.0	False	2	3	Jeżyce	84
+533745.0	False	5	2	Starołęka	4
+333694.0	False	3	1	Podolany	32
+333694.0	False	3	1	Piątkowo	38
+310000.0	True	2	2	Centrum	74
+310000.0	True	2	1	Grunwald	52
+250000.0	True	2	2	Łazarz	36
+265000.0	True	2	4	Jeżyce	43
+558745.0	False	3	3	Stare	62
+298000.0	True	2	5	Centrum	50
+347090.0	False	3	1	Winogrady	90
+362459.0	False	3	0	Starołęka	80
+754000.0	True	7	1	Stare	116
+247705.0	False	2	1	Podolany	74
+313000.0	True	2	4	Piątkowo	49
+339000.0	True	3	8	Nowe	78
+207000.0	True	2	2	Wilda	33
+295000.0	True	2	4	Grunwald	50
+330000.0	True	3	0	Jeżyce	78
+324500.0	True	2	5	Wilda	65
+429000.0	True	3	4	Wilda	47
+275000.0	True	2	9	Rataje	38
+365000.0	True	4	1	Nowe	54
+259000.0	True	2	6	Winogrady	38
+369000.0	True	2	3	Piątkowo	60
+414225.0	True	3	3	Centrum	23
+269000.0	True	3	3	Winogrady	48
+320000.0	True	2	3	Rataje	20
+288465.0	True	2	1	Starołęka	77
+321845.0	False	3	1	Grunwald	55
+389000.0	True	3	4	Piątkowo	16
+289000.0	True	2	7	Winiary	80
+249000.0	True	2	0	Komorniki	53
+391729.0	True	3	2	Winogrady	21
+285383.0	True	2	1	Winogrady	37
+228144.0	True	3	2	Nowe	56
+204450.0	True	2	1	Nowe	33
+496573.0	False	3	2	Stare	78
+286000.0	True	2	5	Centrum	49
+269000.0	True	2	1	Ogrody	50
+114642.0	True	2	0	Łazarz	46
+286000.0	True	2	5	Centrum	49
+390000.0	True	2	0	Świerczewo	60
+320000.0	True	4	1	Jeżyce	40
+706655.0	False	3	2	Nowe	45
+754000.0	False	5	0	Morasko	42
+259000.0	True	3	4	Winogrady	60
+289000.0	True	2	7	Winogrady	80
+350000.0	True	3	0	Rataje	63
+260000.0	True	2	1	Łazarz	54
+319990.0	True	2	3	Jeżyce	70
+228144.0	False	3	2	Głuszyna	56
+156085.0	False	2	2	Głuszyna	45
+350000.0	True	4	4	Stare	60
+394000.0	False	4	0	Szczepankowo	77
+287882.0	False	2	1	Starołęka	85
+445000.0	True	4	3	Piątkowo	65
+229000.0	True	2	1	Grunwald	16
+220000.0	True	2	3	Jeżyce	37
+285000.0	True	3	2	Antoninek	61
+550000.0	True	3	1	Jeżyce	73
+504326.0	True	4	4	Stare	26
+371930.0	True	4	2	Jeżyce	57
+255000.0	True	3	2	Grunwald	20
+279000.0	True	2	3	Piątkowo	30
+325000.0	True	2	0	Nowe	80
+604395.0	True	5	1	Wilda	31
+558000.0	True	5	1	Wilda	2
+1007500.0	False	4	1	Starołęka	94
+1203616.0	False	5	0	Starołęka	71
+298980.0	False	2	5	Winogrady	30
+263140.0	False	2	0	Naramowice	5
+281988.0	False	2	7	Naramowice	76
+349000.0	False	4	0	Szczepankowo	29
+277823.0	False	2	2	Podolany	70
+424377.0	False	4	2	Starołęka	14
+282944.0	False	2	0	Starołęka	59
+282944.0	False	2	0	Starołęka	59
+349668.0	False	2	2	Stare	15
+321904.0	False	2	4	Winogrady	92
+367000.0	True	3	1	Centrum	30
+350000.0	True	3	1	Nowe	63
+350000.0	True	2	1	Rataje	63
+399000.0	True	3	5	Grunwald	98
+429000.0	True	3	3	Centrum	102
+451000.0	True	3	2	Wilda	30
+565000.0	True	4	0	Sołacz	90
+285000.0	True	3	2	Antoninek	61
+350000.0	True	2	1	Rataje	54
+299000.0	True	2	5	Centrum	50
+269000.0	True	2	9	Rataje	49
+249000.0	True	2	2	Grunwald	46
+285000.0	True	3	2	Antoninek	10
+250000.0	True	2	4	Wilda	54
+269000.0	True	3	1	Wilda	68
+350000.0	True	4	4	Piątkowo	76
+360000.0	True	3	1	Grunwald	49
+260000.0	True	2	0	Rataje	46
+350000.0	True	2	4	Jeżyce	56
+263000.0	True	2	1	Rataje	44
+285000.0	True	2	2	Centrum	52
+285000.0	True	2	2	Łazarz	52
+429000.0	True	4	2	Grunwald	92
+211190.0	False	2	0	Podolany	78
+219000.0	True	2	3	Wilda	40
+820000.0	True	4	1	Grunwald	133
+299000.0	True	2	1	Centrum	11
+288000.0	True	2	4	Naramowice	44
+820000.0	True	4	1	Grunwald	133
+470000.0	True	4	2	Sołacz	87
+364000.0	True	3	4	Nowe	90
+706655.0	False	3	2	Nowe	45
+425000.0	True	3	1	Rataje	70
+248000.0	True	2	2	Winogrady	80
+260000.0	True	3	10	Śródka	48
+289000.0	True	2	0	Grunwald	80
+389000.0	True	3	4	Nowe	84
+253000.0	True	2	0	Łazarz	10
+449000.0	False	5	0	Szczepankowo	68
+225288.0	False	2	1	Rataje	91
+389528.0	False	2	2	Stare	87
+481903.0	False	3	2	Stare	53
+349000.0	False	4	0	Szczepankowo	29
+534523.0	False	3	2	Stare	62
+465538.0	False	3	1	Stare	78
+263000.0	True	2	0	Wilda	75
+370000.0	True	4	4	Piątkowo	76
+305000.0	True	3	3	Winogrady	60
+180000.0	True	3	2	Wilda	35
+189000.0	True	2	4	Wilda	35
+357692.0	False	3	2	Starołęka	31
+282994.0	False	2	0	Starołęka	59
+211190.0	False	2	0	Piątkowo	78
+349000.0	False	4	0	Szczepankowo	29
+277823.0	False	2	2	Podolany	70
+424377.0	False	4	2	Starołęka	14
+282944.0	False	2	0	Starołęka	59
+282944.0	False	2	0	Starołęka	59
+245000.0	True	2	7	Rataje	44
+570000.0	True	4	0	Jeżyce	90
+720000.0	True	4	7	Jeżyce	90
+237000.0	True	2	2	Dębiec	44
+329000.0	True	3	3	Piątkowo	60
+270000.0	True	3	3	Stare	47
+487000.0	True	3	0	Naramowice	83
+271000.0	True	2	3	Stare	37
+372000.0	False	4	1	Grunwald	87
+487000.0	True	3	0	Stare	11
+326000.0	True	2	1	Sołacz	39
+270000.0	True	2	10	Śródka	48
+349000.0	True	3	3	Rataje	63
+285000.0	True	2	2	Grunwald	52
+262500.0	True	4	0	Wilda	75
+350000.0	True	2	1	Rataje	80
+199000.0	True	2	3	Grunwald	35
+349000.0	False	4	0	Szczepankowo	29
+250000.0	True	2	3	Wilda	10
+234000.0	True	2	7	Wilda	46
+210000.0	True	2	1	Wilda	65
+249000.0	True	2	10	Grunwald	43
+469000.0	True	2	1	Winogrady	30
+235000.0	True	2	0	Nowe	10
+265000.0	True	2	0	Centrum	40
+329000.0	True	3	13	Rataje	65
+265000.0	True	2	2	Piątkowo	70
+350000.0	True	3	0	Stare	10
+307000.0	True	2	4	Stare	49
+315000.0	True	3	0	Stare	63
+350000.0	True	3	0	Rataje	63
+690000.0	True	2	1	Stare	20
+423000.0	True	2	2	Wilda	49
+250000.0	True	2	6	Grunwald	31
+292000.0	True	3	2	Winogrady	47
+249000.0	True	2	10	Grunwald	42
+350000.0	True	2	3	Rataje	52
+780000.0	True	3	0	Grunwald	87
+1000000.0	True	15	5	Wilda	50
+535000.0	True	2	2	Centrum	55
+285200.0	True	2	0	Stare	46
+434201.0	True	4	1	Nowe	54
+344152.0	True	3	0	Nowe	80
+396000.0	True	3	1	Wilda	50
+240000.0	True	2	16	Rataje	36
+390000.0	True	3	4	Piątkowo	74
+288000.0	True	2	4	Naramowice	22
+518000.0	True	4	0	Wilda	41
+320000.0	True	4	3	Stare	40
+449000.0	True	5	3	Wilda	97
+249000.0	True	2	10	Grunwald	42
+289000.0	True	3	4	Winogrady	48
+289000.0	True	2	7	Jeżyce	80
+330715.0	True	2	2	Wilda	13
+97000.0	True	2	4	Wilda	80
+285000.0	True	2	2	Łazarz	20
+389000.0	True	3	4	Piątkowo	69
+249000.0	True	2	4	Rataje	44
+409000.0	True	3	1	Rataje	62
+240000.0	True	2	2	Dębiec	48
+289000.0	True	3	4	Stare	47
+270000.0	True	3	10	Grunwald	52
+389000.0	True	3	4	Piątkowo	69
+179000.0	True	2	0	Grunwald	34
+364000.0	False	3	6	Grunwald	64
+410000.0	True	2	4	Jeżyce	43
+590000.0	True	3	3	Jeżyce	30
+325000.0	True	3	2	Jeżyce	64
+398000.0	True	3	3	Łazarz	96
+255000.0	True	2	2	Wilda	72
+329000.0	True	2	1	Naramowice	40
+290000.0	True	2	6	Winiary	49
+319875.0	False	2	8	Grunwald	18
+356251.9	False	3	13	Grunwald	20
+319875.0	False	2	7	Grunwald	18
+350557.33	False	2	13	Grunwald	58
+338325.0	False	2	13	Grunwald	5
+329763.26	False	2	9	Grunwald	94
+324400.97	False	2	7	Grunwald	94
+388352.0	False	3	7	Grunwald	60
+347633.0	False	3	10	Grunwald	20
+409713.0	False	3	11	Grunwald	62
+330368.0	False	2	12	Grunwald	62
+347839.75	False	2	12	Grunwald	58
+347193.22	False	3	11	Grunwald	7
+350506.16	False	3	11	Grunwald	20
+342405.13	False	2	11	Grunwald	58
+319875.0	False	2	9	Grunwald	18
+341703.96	False	3	8	Grunwald	21
+336969.98	False	2	10	Grunwald	58
+413044.0	False	3	12	Grunwald	62
+341703.96	False	3	9	Grunwald	21
+325206.0	False	2	10	Grunwald	62
+338111.0	False	2	15	Grunwald	62
+424977.14	False	4	5	Grunwald	20
+327787.0	False	2	11	Grunwald	62
+353378.74	False	3	12	Grunwald	20
+332949.0	False	2	13	Grunwald	62
+383760.0	False	3	6	Grunwald	60
+335530.0	False	2	14	Grunwald	62
+387040.0	False	3	5	Grunwald	60
+302985.6	False	2	4	Grunwald	18
+421375.5	False	4	4	Grunwald	20
+410780.0	False	3	3	Grunwald	44
+417773.83	False	4	3	Grunwald	20
+303286.5	False	2	3	Grunwald	13
+302038.4	False	2	3	Grunwald	2
+319055.27	False	3	3	Grunwald	21
+414352.0	False	3	4	Grunwald	44
+417807.03	False	4	4	Grunwald	7
+414172.54	False	4	2	Grunwald	20
+352390.0	False	2	12	Grunwald	80
+377200.0	False	3	3	Grunwald	60
+314089.0	False	2	5	Grunwald	49
+339072.0	False	2	9	Grunwald	98
+321812.5	False	2	8	Grunwald	49
+500203.02	False	4	10	Grunwald	73
+355080.0	False	2	13	Grunwald	80
+325184.0	False	2	11	Grunwald	81
+297420.8	False	2	3	Grunwald	24
+506566.5	False	4	11	Grunwald	73
+335722.5	False	2	12	Grunwald	5
+349700.0	False	2	11	Grunwald	80
+330517.5	False	2	10	Grunwald	5
+495722.51	False	4	9	Grunwald	99
+426416.8	False	4	6	Grunwald	20
+327081.85	False	2	8	Grunwald	94
+307080.0	False	2	5	Grunwald	18
+305793.0	False	2	4	Grunwald	13
+380480.0	False	3	4	Grunwald	60
+312198.0	False	2	6	Grunwald	18
+410665.2	False	4	2	Grunwald	7
+333231.99	False	3	7	Grunwald	21
+514939.5	False	4	13	Grunwald	73
+317880.0	False	2	2	Grunwald	98
+510753.0	False	4	12	Grunwald	73
+333120.0	False	2	11	Grunwald	5
+324387.0	False	2	9	Grunwald	49
+311514.5	False	2	4	Grunwald	49
+495722.51	False	4	8	Grunwald	99
+331125.0	False	2	5	Grunwald	98
+495782.26	False	4	7	Grunwald	99
+328476.0	False	2	4	Grunwald	98
+316848.0	False	2	6	Grunwald	52
+442803.77	False	4	5	Grunwald	7
+315819.0	False	2	5	Grunwald	13
+293436.18	False	2	1	Grunwald	15
+435784.0	False	3	5	Grunwald	44
+414235.76	False	4	3	Grunwald	7
+407208.0	False	3	2	Grunwald	44
+579000.0	True	4	3	Naramowice	97
+410000.0	True	2	5	Rataje	53
+199000.0	True	2	4	Grunwald	20
+375000.0	True	2	3	Grunwald	51
+350000.0	True	3	0	Naramowice	59
+289000.0	True	3	4	Winogrady	47
+240000.0	True	2	16	Rataje	36
+350000.0	True	3	1	Naramowice	51
+238000.0	True	3	2	Warszawskie	48
+277823.0	False	2	2	Podolany	70
+372000.0	True	4	1	Nadolnik	125
+410000.0	True	2	5	Rataje	53
+249000.0	True	2	4	Rataje	44
+420000.0	True	2	1	Naramowice	50
+420000.0	True	2	3	Naramowice	50
+339000.0	True	2	2	Stare	53
+298000.0	True	3	1	Nowe	30
+250000.0	True	3	0	Stare	45
+475000.0	True	4	4	Naramowice	50
+329000.0	True	3	1	Jeżyce	112
+439000.0	True	3	3	Grunwald	10
+250000.0	True	2	6	Winogrady	42
+259000.0	True	3	1	Grunwald	48
+375000.0	True	2	7	Piątkowo	90
+295000.0	True	2	7	Stare	10
+370000.0	True	4	4	Piątkowo	60
+325000.0	True	3	3	Łazarz	62
+375000.0	True	3	1	Nowe	63
+390000.0	True	4	4	Piątkowo	74
+288000.0	True	3	4	Stare	30
+468000.0	True	2	3	Grunwald	60
+250000.0	True	2	6	Winogrady	42
+350000.0	True	2	2	Jeżyce	46
+292000.0	True	3	2	Winogrady	30
+310000.0	True	2	1	Nowe	40
+289000.0	True	3	4	Winogrady	47
+405900.0	True	3	2	Stare	82
+149000.0	True	3	5	Nowe	56
+326000.0	True	2	1	Sołacz	39
+350000.0	True	2	2	Jeżyce	47
+224343.0	False	2	4	Starołęka	35
+362220.0	False	3	3	Starołęka	60
+287394.0	False	2	2	Starołęka	50
+320739.0	False	3	1	Starołęka	56
+177000.0	True	2	2	Dębiec	25
+313000.0	True	2	1	Górczyn	48
+313000.0	True	2	1	Dębiec	48
+429000.0	True	3	4	Rataje	79
+643720.0	True	4	0	Stare	60
+325000.0	True	2	3	Stare	60
+319000.0	True	2	0	Grunwald	20
+364000.0	True	3	1	Nowe	67
+285000.0	True	2	2	Łazarz	52
+339000.0	True	2	2	Centrum	53
+279000.0	True	2	0	Naramowice	43
+350000.0	True	2	4	Jeżyce	53
+419000.0	True	3	1	Piątkowo	74
+195000.0	True	2	3	Zawady	35
+390000.0	True	2	0	Centrum	60
+177000.0	True	2	2	Dębiec	70
+279000.0	True	2	1	Stare	60
+489000.0	True	4	2	Wilda	120
+299000.0	True	2	1	Jeżyce	32
+205000.0	True	2	4	Wilda	27
+362000.0	True	2	1	Centrum	50
+285000.0	True	2	2	Łazarz	52
+998000.0	True	6	2	Stare	161
+259000.0	True	3	2	Grunwald	45
+439000.0	True	2	3	Rataje	53
+550000.0	True	4	1	Górczyn	90
+310000.0	True	3	10	Nowe	40
+355000.0	True	3	2	Stare	64
+252000.0	True	2	9	Grunwald	50
+659000.0	True	3	2	Nowe	60
+307000.0	True	2	4	Piątkowo	49
+347900.0	True	3	3	Nowe	10
+229000.0	True	2	3	Stare	56
+569000.0	True	4	0	Wilda	50
+136000.0	True	2	1	Nowe	43
+102500.0	True	2	3	Nowe	80
+485000.0	True	4	2	Grunwald	89
+360000.0	True	3	3	Nowe	63
+339000.0	True	3	3	Stare	90
+285000.0	True	2	0	Łazarz	49
+299000.0	True	2	1	Centrum	52
+429999.0	True	3	3	Centrum	20
+429999.0	True	3	3	Centrum	20
+395000.0	True	3	3	Wilda	75
+307000.0	True	2	4	Piątkowo	49
+326000.0	True	2	4	Łazarz	80
+382280.0	True	3	3	Centrum	50
+233239.0	False	2	2	Podolany	87
+400608.0	False	3	2	Podolany	48
+422604.0	False	4	2	Podolany	24
+350064.0	False	3	2	Podolany	84
+349420.0	False	3	2	Podolany	73
+275008.0	False	2	2	Podolany	1
+255762.0	False	2	2	Podolany	72
+257400.0	False	2	2	Podolany	44
+307710.0	False	2	2	Podolany	60
+338188.0	False	3	2	Podolany	81
+258336.0	False	2	2	Podolany	16
+370948.0	False	4	2	Podolany	41
+358605.0	False	3	2	Podolany	30
+245934.0	False	2	2	Podolany	4
+233941.0	False	2	1	Podolany	99
+401544.0	False	3	1	Podolany	64
+424008.0	False	4	1	Podolany	48
+350181.0	False	3	1	Podolany	86
+349537.0	False	3	1	Podolany	75
+275710.0	False	2	1	Podolany	13
+256756.0	False	2	1	Podolany	89
+258102.0	False	2	1	Podolany	12
+255000.0	True	2	3	Jeżyce	38
+300222.0	False	2	1	Podolany	22
+308412.0	False	2	1	Podolany	72
+338305.0	False	3	1	Podolany	83
+259038.0	False	2	1	Podolany	28
+371884.0	False	4	1	Podolany	57
+359541.0	False	3	1	Podolany	46
+234636.0	False	2	1	Podolany	16
+234234.0	False	2	0	Podolany	4
+401719.0	False	3	0	Podolany	67
+423715.0	False	4	0	Podolany	43
+350181.0	False	3	0	Podolany	86
+249537.0	False	3	0	Podolany	75
+276061.0	False	2	0	Podolany	19
+257341.0	False	2	0	Podolany	99
+258453.0	False	2	0	Podolany	18
+220837.0	False	2	0	Podolany	75
+419000.0	True	2	7	Grunwald	20
+419000.0	True	3	4	Wilda	60
+379000.0	True	2	3	Winogrady	48
+315000.0	True	3	0	Piątkowo	60
+339000.0	True	3	1	Rataje	67
+270000.0	True	2	4	Grunwald	38
+268000.0	True	2	5	Rataje	42
+1500000.0	True	3	5	Centrum	68
+264000.0	True	3	4	Nowe	53
+432000.0	True	4	1	Grunwald	72
+449900.0	True	3	2	Stare	81
+295000.0	True	2	1	Nowe	39
+290000.0	True	2	6	Sołacz	49
+307000.0	True	2	4	Piątkowo	49
+285000.0	True	2	3	Piątkowo	49
+285000.0	True	2	3	Wilda	60
+519000.0	True	3	1	Rataje	50
+264000.0	True	3	4	Rataje	53
+318000.0	True	2	4	Piątkowo	49
+325000.0	True	3	3	Sołacz	40
+377685.0	False	2	4	Podolany	4
+377685.0	False	3	4	Podolany	67
+423715.0	False	4	0	Podolany	43
+350181.0	False	3	0	Podolany	86
+349537.0	False	3	0	Podolany	75
+276061.0	False	2	0	Podolany	19
+242990.0	False	2	0	Podolany	18
+283645.0	False	2	0	Podolany	39
+308763.0	False	2	0	Podolany	78
+338305.0	False	3	0	Podolany	83
+480000.0	True	2	2	Centrum	56
+499000.0	True	2	2	Nowe	36
+299000.0	True	2	16	Rataje	49
+355000.0	True	3	2	Stare	64
+210000.0	True	2	0	Grunwald	52
+277098.0	True	2	0	Nowe	59
+410000.0	True	3	1	Górczyn	82
+399000.0	True	3	2	Górczyn	91
+390000.0	True	3	1	Łazarz	75
+370000.0	True	2	0	Górczyn	65
+239000.0	True	2	3	Piątkowo	59
+185000.0	True	2	8	Wilda	38
+432000.0	True	3	0	Wilda	72
+360000.0	True	3	4	Rataje	69
+259330.0	False	2	0	Podolany	33
+372996.0	False	4	0	Podolany	76
+360000.0	True	3	2	Rataje	69
+370000.0	True	4	4	Piątkowo	76
+338579.0	False	3	0	Podolany	56
+231550.0	False	2	0	Podolany	10
+325000.0	True	2	1	Jeżyce	56
+355000.0	True	2	4	Jeżyce	56
+275000.0	True	2	1	Sołacz	50
+355000.0	True	3	2	Piątkowo	66
+224000.0	True	2	0	Górczyn	50
+499000.0	True	3	1	Grunwald	65
+1300000.0	True	2	3	Wilda	90
+399000.0	True	2	4	Grunwald	49
+349999.0	True	4	4	Stare	60
+390000.0	True	3	3	Stare	48
+325000.0	True	3	4	Jeżyce	30
+360000.0	True	3	2	Rataje	69
+389000.0	True	3	4	Stare	74
+450000.0	True	3	2	Naramowice	66
+660000.0	True	4	2	Winogrady	110
+313000.0	True	2	4	Jeżyce	50
+289000.0	True	2	6	Jeżyce	86
+279000.0	True	3	3	Rataje	54
+282000.0	True	2	1	Jeżyce	38
+282000.0	True	2	1	Strzeszyn	38
+225000.0	True	2	2	Grunwald	38
+339000.0	True	3	0	Jeżyce	24
+519000.0	True	3	1	Nowe	64
+189000.0	True	2	2	Grunwald	35
+275000.0	True	3	2	Grunwald	60
+1550000.0	True	6	1	Grunwald	170
+290000.0	True	2	6	Jeżyce	49
+185000.0	True	2	8	Dębiec	80
+270000.0	True	2	4	Grunwald	38
+349000.0	True	3	0	Grunwald	60
+349000.0	True	3	0	Grunwald	60
+360000.0	True	3	2	Nowe	69
+575000.0	True	4	4	Jeżyce	94
+360000.0	True	2	1	Centrum	50
+327000.0	True	4	3	Dębiec	75
+499000.0	True	2	2	Stare	43
+379000.0	True	3	0	Rataje	56
+379000.0	True	3	3	Jeżyce	55
+359000.0	True	2	3	Rataje	48
+205000.0	True	2	2	Starołęka	40
+280000.0	True	2	1	Stare	30
+359000.0	True	3	2	Piątkowo	50
+465374.0	False	3	2	Stare	62
+250000.0	True	2	6	Sołacz	42
+237000.0	True	2	10	Grunwald	38
+365000.0	True	2	1	Centrum	50
+449000.0	True	3	1	Naramowice	89
+329000.0	True	3	7	Rataje	80
+390000.0	True	3	3	Piątkowo	48
+275000.0	True	2	2	Piątkowo	58
+365000.0	True	3	1	Stare	64
+280000.0	True	3	9	Jeżyce	48
+425000.0	True	3	0	Piątkowo	50
+1500000.0	True	3	0	Grunwald	100
+310000.0	True	2	2	Centrum	73
+235000.0	True	2	3	Grunwald	38
+286000.0	True	2	4	Centrum	49
+350000.0	True	2	4	Jeżyce	56
+225000.0	True	2	0	Górczyn	50
+360000.0	True	4	0	Piątkowo	60
+409000.0	True	3	1	Malta	90
+313000.0	True	2	4	Piątkowo	49
+259000.0	True	2	5	Grunwald	45
+279000.0	True	2	5	Centrum	42
+314900.0	True	2	2	Naramowice	41
+635000.0	True	4	3	Grunwald	70
+300000.0	True	3	1	Rataje	80
+390000.0	True	4	1	Jeżyce	70
+615000.0	True	4	1	Jeżyce	130
+525000.0	True	4	3	Jeżyce	70
+199000.0	True	2	6	Grunwald	20
+299000.0	True	3	2	Grunwald	49
+300000.0	True	3	2	Grunwald	49
+259000.0	True	2	3	Rataje	49
+375000.0	True	3	1	Rataje	62
+365000.0	True	4	1	Wilda	79
+248000.0	True	2	14	Rataje	49
+340000.0	True	2	0	Junikowo	62
+280000.0	True	3	1	Jeżyce	58
+475000.0	True	4	0	Górczyn	102
+379000.0	True	3	0	Wilda	67
+399000.0	True	4	0	Nowe	69
+404000.0	True	4	0	Nowe	69
+339000.0	True	3	13	Nowe	65
+369000.0	True	2	3	Stare	49
+370000.0	True	2	4	Rataje	80
+382280.0	True	3	3	Stare	30
+259000.0	True	2	3	Żegrze	49
+329000.0	True	3	7	Rataje	66
+410000.0	True	5	0	Łazarz	111
+295000.0	True	2	4	Wilda	35
+349000.0	True	2	2	Stare	33
+239000.0	True	2	3	Rataje	53
+275000.0	True	2	13	Rataje	49
+495000.0	True	4	1	Naramowice	98
+239000.0	True	2	0	Naramowice	80
+384000.0	True	4	0	Grunwald	93
+289000.0	True	2	2	Zawady	48
+210000.0	True	2	3	Grunwald	38
+329000.0	True	2	3	Rataje	50
+439000.0	True	4	2	Grunwald	92
+235000.0	True	2	3	Grunwald	50
+398000.0	True	2	1	Grunwald	32
+150000.0	True	2	2	Nowe	50
+650000.0	True	3	2	Centrum	101
+191000.0	True	2	0	Górczyn	42
+238000.0	True	2	8	Jeżyce	37
+550000.0	True	3	1	Grunwald	73
+210000.0	True	2	0	Grunwald	65
+308000.0	True	3	0	Jeżyce	70
+620000.0	True	4	1	Smochowice	82
+565000.0	True	4	0	Sołacz	90
+259000.0	True	2	5	Górczyn	45
+259000.0	True	2	4	Grunwald	50
+395000.0	True	4	1	Wilda	80
+300000.0	True	2	1	Centrum	8
+245000.0	True	2	2	Centrum	8
+250000.0	True	2	4	Nowe	23
+399000.0	False	5	0	Szczepankowo	77
+399000.0	False	5	0	Szczepankowo	77
+399000.0	False	5	0	Szczepankowo	77
+402000.0	False	5	0	Szczepankowo	77
+402000.0	False	5	0	Szczepankowo	77
+402000.0	False	5	0	Szczepankowo	77
+402000.0	False	5	0	Szczepankowo	77
+375000.0	True	3	4	Winogrady	65
+248000.0	True	2	14	Rataje	49
+1017445.0	False	6	8	Nowe	53
+316357.0	False	2	7	Nowe	82
+316547.0	False	2	5	Nowe	85
+316674.0	False	2	1	Nowe	87
+356933.0	False	3	1	Nowe	21
+317944.0	False	2	7	Nowe	7
+318198.0	False	2	4	Nowe	11
+318452.0	False	2	3	Nowe	15
+318452.0	False	2	2	Nowe	15
+318071.0	False	2	1	Nowe	9
+350583.0	False	3	1	Nowe	21
+603948.0	False	4	5	Nowe	11
+606171.0	False	4	3	Nowe	46
+606171.0	False	4	2	Nowe	46
+324800.0	False	2	3	Nowe	56
+324800.0	False	2	1	Nowe	56
+460184.0	False	4	7	Nowe	47
+460248.0	False	4	6	Nowe	48
+484314.0	False	4	4	Nowe	27
+484505.0	False	4	3	Nowe	30
+484505.0	False	4	2	Nowe	30
+483616.0	False	4	1	Nowe	16
+424370.0	False	4	3	Nowe	83
+424370.0	False	4	2	Nowe	83
+549211.0	False	4	1	Nowe	49
+359000.0	True	2	4	Grunwald	40
+439000.0	True	4	2	Łazarz	92
+402000.0	False	5	0	Szczepankowo	77
+327000.0	True	3	3	Stare	64
+349000.0	True	4	2	Rataje	20
+380000.0	True	3	4	Nowe	100
+300000.0	True	2	2	Winogrady	58
+339000.0	True	3	3	Stare	37
+664443.3	False	2	2	Stare	57
+308000.0	True	3	4	Rataje	70
+240000.0	True	2	6	Grunwald	42
+270000.0	True	3	0	Grunwald	48
+320000.0	True	3	8	Rataje	78
+319000.0	True	2	2	Jeżyce	55
+335400.0	True	2	1	Łazarz	52
+250000.0	True	3	3	Nowe	53
+355000.0	True	4	0	Stare	88
+360000.0	True	4	0	Grunwald	66
+495000.0	True	3	0	Centrum	63
+268900.0	True	3	10	Grunwald	56
+379000.0	True	2	3	Stare	16
+287000.0	True	2	10	Winogrady	80
+250000.0	True	2	4	Rataje	44
+279000.0	True	4	3	Rataje	62
+265000.0	True	3	0	Rataje	48
+225000.0	True	2	0	Grunwald	50
+290000.0	True	3	8	Osiedle	70
+228000.0	True	4	4	Swarzędz	64
+330000.0	True	4	0	Grunwald	50
+495000.0	True	3	1	Grunwald	64
+307000.0	True	2	4	Piątkowo	50
+225000.0	True	2	7	Ogrody	53
+340000.0	True	2	2	Naramowice	16
+245000.0	True	2	9	Rataje	38
+439000.0	True	3	3	Piątkowo	77
+499000.0	True	4	4	Stare	85
+249000.0	True	3	4	Rataje	53
+410000.0	True	5	0	Łazarz	8
+379000.0	True	2	5	Grunwald	50
+300000.0	True	3	1	Grunwald	48
+1780000.0	True	4	0	Stare	86
+459000.0	True	3	1	Grunwald	81
+450000.0	True	3	2	Stare	67
+1040000.0	True	2	10	Centrum	79
+320000.0	True	2	1	Naramowice	23
+430000.0	True	3	3	Łazarz	96
+380000.0	True	2	6	Dębiec	55
+240000.0	True	2	11	Rataje	42
+275000.0	True	2	2	Naramowice	60
+265000.0	True	2	1	Wilda	60
+515000.0	True	4	2	Jeżyce	87
+420000.0	True	4	3	Grunwald	50
+349000.0	True	2	3	Jeżyce	50
+253000.0	True	2	9	Stare	38
+259500.0	True	2	0	Łazarz	90
+460000.0	True	3	1	Antoninek	8
+379000.0	True	3	0	Rataje	57
+379000.0	True	3	0	Rataje	57
+480000.0	True	4	1	Grunwald	64
+325000.0	True	3	0	Stare	78
+379000.0	True	3	0	Nowe	56
+365000.0	True	2	1	Centrum	50
+349000.0	True	2	3	Centrum	56
+399000.0	True	2	1	Rataje	54
+420000.0	True	3	1	Jeżyce	38
+569000.0	True	4	0	Wilda	118
+302000.0	True	2	3	Winogrady	49
+460000.0	True	3	0	Grunwald	65
+450000.0	True	3	1	Grunwald	84
+269000.0	True	2	4	Rataje	40
+945000.0	True	6	2	Stare	126
+900000.0	True	6	1	Stare	120
+1845000.0	True	12	1	Stare	246
+360000.0	True	3	2	Grunwald	58
+473120.0	True	2	2	Grunwald	14
+458175.0	True	3	0	Grunwald	9
+538229.0	True	3	3	Grunwald	12
+439000.0	True	3	3	Piątkowo	70
+365000.0	True	3	2	Rataje	65
+640174.0	True	3	0	Grunwald	7
+289000.0	True	3	3	Rataje	48
+442612.0	True	2	4	Grunwald	11
+321845.0	False	3	1	Grunwald	55
+349000.0	True	3	5	Rataje	78
+439000.0	True	4	2	Grunwald	92
+395000.0	True	4	4	Stare	84
+390000.0	False	2	2	Grunwald	53
+320000.0	True	3	0	Rataje	56
+480000.0	True	2	1	Stare	44
+315000.0	True	3	1	Nowe	62
+379000.0	True	3	1	Piątkowo	78
+249000.0	True	2	4	Rataje	44
+419000.0	True	3	2	Piątkowo	20
+375000.0	True	3	4	Winogrady	65
+320000.0	True	3	6	Rataje	56
+527150.0	True	4	3	Winogrady	10
+444600.0	True	3	2	Winogrady	40
+360000.0	True	2	1	Centrum	50
+210000.0	True	2	0	Dębiec	37
+747000.0	True	3	7	Nowe	83
+760000.0	True	4	1	Stare	96
+354000.0	True	4	0	Jeżyce	71
+354000.0	True	4	0	Jeżyce	71
+595000.0	True	7	1	Jeżyce	136
+369000.0	True	3	3	Centrum	63
+279000.0	True	2	1	Naramowice	51
+379000.0	True	3	0	Rataje	57
+358000.0	True	3	2	Nowe	90
+350000.0	True	3	1	Starołęka	15
+529000.0	True	4	2	Centrum	107
+840000.0	True	4	0	Centrum	100
+311500.0	True	2	1	Wilda	89
+280000.0	True	2	5	Naramowice	41
+243656.0	True	2	1	Jeżyce	64
+259000.0	True	2	0	Grunwald	40
+260127.0	True	2	1	Ogrody	41
+210000.0	True	2	0	Dębiec	37
+417231.0	True	2	2	Stare	50
+290000.0	True	20	2	Stare	80
+209000.0	True	2	10	Rataje	38
+353000.0	True	3	2	Grunwald	52
+406100.0	True	3	2	Grunwald	61
+389000.0	True	4	0	Nowe	75
+295850.0	True	3	2	Ostrów	33
+295660.0	True	2	1	Ostrów	87
+241940.0	True	2	1	Jeżyce	51
+480000.0	True	4	4	Wilda	80
+449000.0	True	3	2	Wilda	104
+1850000.0	True	7	1	Sołacz	206
+394000.0	False	4	1	Nowe	69
+469000.0	True	3	2	Grunwald	40
+280000.0	True	3	9	Jeżyce	48
+325000.0	True	2	1	Jeżyce	56
+425000.0	True	4	6	Nowe	85
+510000.0	True	3	3	Grunwald	70
+220000.0	True	2	0	Grunwald	50
+319000.0	True	2	3	Podolany	40
+315000.0	True	3	3	Rataje	56
+234400.0	True	2	0	Górczyn	50
+235000.0	True	2	4	Winogrady	68
+229000.0	True	2	8	Winogrady	62
+820000.0	True	4	0	Jeżyce	41
+239000.0	True	2	5	Winogrady	68
+450000.0	True	3	2	Naramowice	67
+310000.0	True	2	2	Centrum	73
+239900.0	True	2	4	Rataje	38
+364520.0	False	3	1	Jeżyce	8
+285285.0	False	3	3	Jeżyce	89
+439000.0	True	3	0	Szczepankowo	77
+224000.0	True	2	0	Łazarzm	50
+820000.0	True	4	3	Centrum	59
+255200.0	True	2	0	Jeżyce	13
+253000.0	True	2	2	Jeżyce	2
+246000.0	True	2	1	Jeżyce	12
+235000.0	True	2	4	Rataje	38
+365000.0	True	4	1	Nowe	54
+299000.0	True	2	2	Grunwald	35
+319000.0	True	2	4	Łazarz	46
+263000.0	True	2	2	Dębiec	48
+1555200.0	True	4	2	Jeżyce	144
+265000.0	True	2	2	Rataje	38
+279000.0	True	2	1	Stare	60
+655000.0	True	3	4	Stare	60
+307000.0	True	2	4	Piątkowo	20
+569000.0	True	4	0	Wilda	40
+310000.0	True	3	1	Piątkowo	60
+430000.0	True	2	3	Grunwald	70
+259000.0	True	2	2	Stare	49
+487000.0	True	3	0	Naramowice	83
+298500.0	True	2	1	Jeżyce	28
+420000.0	True	5	0	Łazarz	8
+680000.0	True	3	0	Stare	89
+669000.0	True	2	0	Łazarz	70
+359000.0	True	2	2	Jeżyce	50
+299900.0	True	2	2	Jeżyce	60
+760000.0	True	5	1	Centrum	73
+604836.0	True	4	6	Grunwald	40
+263400.0	True	2	0	Grunwald	90
+340166.0	True	3	0	Grunwald	10
+480000.0	True	3	0	Rataje	69
+320000.0	True	2	3	Stare	55
+420000.0	True	3	3	Łazarz	95
+690000.0	True	5	1	Stare	100
+568000.0	True	4	0	Centrum	114
+520000.0	True	4	1	Nowe	91
+299000.0	True	2	2	Jeżyce	61
+680000.0	True	3	0	Stare	89
+290000.0	True	2	5	Winogrady	80
+177000.0	True	2	2	Wilda	34
+360000.0	True	3	4	Nowe	63
+820000.0	True	5	1	Winogrady	128
+339000.0	True	3	3	Jeżyce	80
+439000.0	True	3	3	Stare	70
+335000.0	True	3	9	Rataje	66
+599000.0	True	3	3	Górczyn	60
+720000.0	True	4	2	Grunwald	144
+263000.0	True	3	3	Grunwald	48
+270000.0	True	2	0	Jeżyce	20
+339000.0	True	3	4	Winogrady	90
+250000.0	True	2	6	Rataje	23
+340000.0	True	2	2	Garbary	48
+250000.0	True	2	1	Winogrady	38
+487000.0	True	3	0	Stare	83
+268001.0	True	2	2	Sołacz	60
+729000.0	True	4	1	Sołacz	10
+533000.0	True	3	9	Rataje	72
+325000.0	True	3	0	Wola	65
+320000.0	True	3	1	Grunwald	74
+549000.0	True	3	3	Grunwald	60
+345000.0	True	3	1	Rataje	78
+239000.0	True	3	2	Wilda	40
+425000.0	True	4	6	Rataje	90
+332339.0	False	2	5	Dolna	67
+308481.0	False	2	5	Dolna	74
+315537.0	False	2	5	Dolna	45
+319927.0	False	2	5	Dolna	49
+491139.0	False	4	5	Dolna	50
+1500000.0	True	3	5	Stare	68
+292981.0	False	2	5	Dolna	2
+309465.0	False	2	5	Dolna	56
+309838.0	False	2	5	Dolna	39
+457004.0	False	4	5	Dolna	25
+498921.0	False	4	5	Dolna	65
+296180.0	False	2	5	Dolna	47
+300204.0	False	2	5	Dolna	70
+309246.0	False	2	5	Dolna	99
+484168.0	False	3	5	Dolna	8
+306666.0	False	2	4	Dolna	45
+310923.0	False	2	4	Dolna	49
+284921.0	False	2	4	Dolna	2
+300495.0	False	2	4	Dolna	56
+301128.0	False	2	4	Dolna	39
+444872.0	False	4	4	Dolna	25
+484149.0	False	4	4	Dolna	65
+288032.0	False	2	4	Dolna	47
+291765.0	False	2	4	Dolna	70
+412908.0	False	3	4	Dolna	78
+431187.0	False	3	4	Dolna	43
+304231.0	False	2	4	Dolna	99
+469840.0	False	3	4	Dolna	8
+866623.0	False	5	3	Dolna	26
+308005.0	False	2	3	Dolna	49
+472873.0	False	4	3	Dolna	50
+282503.0	False	2	3	Dolna	2
+298253.0	False	2	3	Dolna	56
+298306.0	False	2	3	Dolna	39
+439966.0	False	4	3	Dolna	25
+480336.0	False	4	3	Dolna	65
+285180.0	False	2	3	Dolna	47
+289032.0	False	2	3	Dolna	70
+405142.0	False	3	3	Dolna	78
+750062.0	False	4	6	Wilda	42
+555180.0	False	3	6	Wilda	44
+555180.0	False	3	6	Wilda	44
+855063.0	False	5	3	Dolna	59
+750013.0	False	4	6	Wilda	69
+333852.0	False	2	5	Wilda	70
+525525.0	False	3	5	Wilda	50
+241574.0	False	2	5	Wilda	56
+466175.0	False	3	3	Dolna	8
+670380.0	False	4	5	Wilda	85
+670380.0	False	4	5	Wilda	85
+350719.0	False	2	5	Wilda	11
+399772.0	False	3	5	Wilda	98
+399772.0	False	3	5	Wilda	98
+318202.0	False	2	4	Wilda	85
+316272.0	False	2	4	Wilda	92
+292691.0	False	2	4	Wilda	61
+295370.0	False	2	4	Wilda	43
+393624.0	False	3	4	Wilda	64
+393624.0	False	3	4	Wilda	64
+295370.0	False	2	4	Wilda	43
+295370.0	False	2	4	Wilda	43
+353048.0	False	2	4	Wilda	9
+247217.0	False	2	4	Wilda	99
+316866.0	False	2	3	Wilda	1
+314355.0	False	2	3	Wilda	92
+276293.0	False	2	3	Wilda	75
+278813.0	False	2	3	Wilda	14
+385453.0	False	3	3	Wilda	64
+385453.0	False	3	3	Wilda	64
+293783.0	False	2	3	Wilda	14
+293454.0	False	2	3	Wilda	14
+351450.0	False	2	3	Wilda	25
+245769.0	False	2	3	Wilda	13
+245769.0	False	2	3	Wilda	13
+310696.0	False	2	2	Wilda	17
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+285966.0	False	2	2	Wilda	88
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+360000.0	True	3	2	Grunwald	60
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+456960.0	False	3	5	Jeżyce	20
+765451.0	False	5	5	Jeżyce	81
+473754.0	False	3	5	Jeżyce	66
+445900.0	False	3	5	Jeżyce	70
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+747600.0	False	5	5	Jeżyce	80
+558693.0	False	4	5	Jeżyce	97
+558486.0	False	4	5	Jeżyce	94
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+392231.0	False	2	5	Jeżyce	26
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+310170.0	False	3	5	Jeżyce	31
+413236.0	False	3	5	Jeżyce	77
+459151.0	False	3	4	Jeżyce	53
+388600.0	False	3	4	Jeżyce	58
+357204.0	False	3	4	Jeżyce	53
+542365.0	False	4	4	Jeżyce	95
+406065.0	False	3	4	Jeżyce	85
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+362372.0	False	3	4	Jeżyce	29
+257250.0	False	2	4	Jeżyce	75
+542298.0	False	4	4	Jeżyce	94
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+325244.0	False	2	4	Jeżyce	83
+324921.0	False	2	4	Jeżyce	9
+454986.0	False	3	4	Jeżyce	94
+323004.0	False	2	4	Jeżyce	94
+297145.0	False	2	4	Jeżyce	35
+383977.0	False	3	4	Jeżyce	31
+382800.0	False	3	3	Jeżyce	58
+452298.0	False	3	3	Jeżyce	53
+400180.0	False	3	3	Jeżyce	85
+351951.0	False	3	3	Jeżyce	53
+363207.0	False	3	3	Jeżyce	21
+257250.0	False	2	3	Jeżyce	75
+534600.0	False	4	3	Jeżyce	81
+534270.0	False	4	3	Jeżyce	95
+357043.0	False	3	3	Jeżyce	29
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+320461.0	False	2	3	Jeżyce	83
+364815.0	False	3	3	Jeżyce	45
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+448392.0	False	3	3	Jeżyce	94
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+292710.0	False	2	3	Jeżyce	35
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+448871.5	False	3	2	Jeżyce	53
+377000.0	False	3	2	Jeżyce	58
+394295.0	False	3	2	Jeżyce	85
+344071.5	False	3	2	Jeżyce	53
+253575.0	False	2	2	Jeżyce	75
+530222.5	False	4	2	Jeżyce	95
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+351648.0	False	3	2	Jeżyce	28
+530550.0	False	4	2	Jeżyce	81
+474154.5	False	3	2	Jeżyce	39
+407382.0	False	3	2	Jeżyce	16
+359370.0	False	3	2	Jeżyce	45
+320461.0	False	2	2	Jeżyce	83
+317925.0	False	2	2	Jeżyce	10
+211830.0	False	2	2	Jeżyce	70
+441798.0	False	3	2	Jeżyce	94
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+377000.0	False	3	1	Jeżyce	58
+375380.5	False	3	2	Jeżyce	31
+444925.0	False	3	1	Jeżyce	45
+394295.0	False	3	1	Jeżyce	85
+346698.0	False	3	1	Jeżyce	53
+357786.0	False	3	1	Jeżyce	21
+249900.0	False	2	1	Jeżyce	75
+526500.0	False	4	1	Jeżyce	81
+526175.0	False	4	1	Jeżyce	95
+351714.0	False	3	1	Jeżyce	29
+470470.0	False	3	1	Jeżyce	38
+407253.0	False	3	1	Jeżyce	14
+320796.0	False	2	1	Jeżyce	88
+315637.0	False	2	1	Jeżyce	11
+435798.0	False	3	1	Jeżyce	3
+359238.0	False	3	1	Jeżyce	43
+288340.0	False	2	1	Jeżyce	36
+315727.5	False	2	1	Jeżyce	95
+372515.0	False	3	1	Jeżyce	31
+448413.0	False	3	0	Jeżyce	46
+418470.0	False	3	0	Jeżyce	38
+453960.0	False	3	0	Jeżyce	84
+444080.0	False	3	0	Jeżyce	32
+309487.5	False	2	0	Jeżyce	25
+423150.0	False	3	0	Jeżyce	10
+334230.0	False	2	0	Jeżyce	42
+453260.0	False	3	0	Jeżyce	20
+452121.0	False	3	2	Dolna	60
+296290.0	False	2	2	Dolna	57
+420388.0	False	3	2	Dolna	11
+321845.0	False	3	1	Grunwald	55
+286082.0	False	2	2	Dolna	20
+457458.0	False	4	2	Dolna	37
+293768.0	False	2	2	Dolna	56
+295485.0	False	2	2	Dolna	39
+436530.0	False	4	2	Dolna	25
+475052.0	False	4	2	Dolna	65
+282980.0	False	2	2	Dolna	47
+286299.0	False	2	2	Dolna	70
+840000.0	True	6	1	Winogrady	129
+442612.0	True	2	4	Grunwald	11
+324558.0	True	2	4	Grunwald	61
+620000.0	True	3	2	Grunwald	73
+265000.0	True	3	4	Łazarz	55
+393789.0	False	3	2	Dolna	78
+298381.0	False	2	2	Dolna	99
+461040.0	False	3	2	Dolna	8
+443502.0	False	3	1	Dolna	60
+485000.0	True	5	2	Łazarz	87
+215000.0	True	2	0	Wilda	36
+412342.0	False	3	1	Dolna	11
+298885.0	False	2	1	Dolna	96
+459470.0	False	4	1	Dolna	50
+289283.0	False	2	1	Dolna	56
+289842.0	False	2	1	Dolna	39
+431316.0	False	4	1	Dolna	25
+280833.0	False	2	1	Dolna	70
+381420.0	False	3	1	Dolna	78
+396421.0	False	3	1	Dolna	79
+483194.0	False	4	1	Dolna	71
+306880.0	False	2	1	Dolna	27
+374734.0	False	3	1	Dolna	43
+760000.0	True	4	1	Centrum	95
+292530.0	False	2	1	Dolna	99
+452976.0	False	3	1	Dolna	8
+446521.0	False	2	0	Dolna	60
+268373.0	False	2	0	Dolna	57
+260000.0	True	2	0	Naramowice	47
+266788.0	False	2	0	Dolna	21
+399355.0	False	3	0	Dolna	11
+290270.0	False	2	0	Dolna	96
+294964.0	False	2	0	Dolna	32
+463973.0	False	4	0	Dolna	50
+282449.0	False	2	0	Dolna	56
+283698.0	False	2	0	Dolna	39
+364073.0	False	3	0	Dolna	4
+376181.0	False	3	0	Dolna	7
+284140.0	False	2	0	Dolna	94
+290853.0	False	2	0	Dolna	80
+336456.0	False	3	0	Dolna	63
+530000.0	True	3	0	Grunwald	63
+135000.0	True	2	4	skiej	86
+799000.0	True	4	0	Grunwald	118
+329000.0	True	3	1	Jeżyce	112
+260000.0	True	2	0	Naramowice	47
+550000.0	True	3	1	Rataje	81
+443102.0	False	3	0	Dolna	80
+549000.0	True	3	2	Jeżyce	106
+499000.0	True	5	4	Jeżyce	93
+404000.0	True	3	2	Piątkowo	90
+387645.0	False	3	5	Grunwald	10
+294810.0	False	2	5	Grunwald	50
+229000.0	True	2	2	Jeżyce	34
+487000.0	True	3	0	Naramowice	83
+367211.0	False	3	4	Grunwald	10
+367211.0	False	3	4	Grunwald	10
+273497.0	False	2	4	Grunwald	90
+289695.0	False	2	4	Grunwald	50
+367211.0	False	3	3	Grunwald	10
+273497.0	False	2	3	Grunwald	90
+289695.0	False	2	3	Grunwald	50
+284711.0	False	2	3	Grunwald	70
+360600.0	False	3	3	Grunwald	10
+360600.0	False	3	2	Grunwald	10
+360000.0	True	3	4	Rataje	69
+273497.0	False	2	2	Grunwald	90
+289695.0	False	2	2	Grunwald	50
+284711.0	False	2	2	Grunwald	70
+353989.0	False	3	1	Grunwald	10
+284115.0	False	2	1	Grunwald	50
+279227.0	False	2	1	Grunwald	70
+346777.0	False	3	1	Grunwald	10
+279000.0	False	2	0	Grunwald	50
+340166.0	False	2	0	Grunwald	70
+340166.0	False	3	0	Grunwald	10
+279594.0	False	2	2	Grunwald	10
+289738.0	False	2	2	Grunwald	70
+346798.0	False	3	2	Grunwald	70
+235545.0	True	3	0	Plewiska	57
+274302.0	False	2	1	Grunwald	10
+284254.0	False	2	1	Grunwald	70
+420000.0	True	3	3	Grunwald	96
+340234.0	False	3	1	Grunwald	70
+269010.0	False	2	0	Grunwald	10
+279594.0	False	2	5	Grunwald	10
+340781.0	False	3	4	Grunwald	70
+284088.0	False	2	4	Grunwald	60
+274743.0	False	2	4	Grunwald	10
+340781.0	False	3	3	Grunwald	70
+284088.0	False	2	3	Grunwald	60
+274743.0	False	2	3	Grunwald	10
+340781.0	False	3	2	Grunwald	70
+284088.0	False	2	2	Grunwald	60
+274743.0	False	2	2	Grunwald	10
+328200.0	False	3	1	Grunwald	70
+273600.0	False	2	1	Grunwald	60
+264600.0	False	2	1	Grunwald	10
+334217.0	False	3	0	Grunwald	70
+800000.0	True	4	3	Stare	103
+317000.0	True	3	3	Naramowice	53
+392181.0	False	4	4	Stare	25
+275000.0	True	2	13	Rataje	49
+330000.0	True	3	2	Grunwald	60
+290000.0	True	4	3	Rataje	50
+215000.0	True	2	0	Wilda	36
+368520.0	True	2	2	Jeżyce	50
+275000.0	True	3	1	Grunwald	90
+439000.0	True	4	2	Łazarz	92
+370000.0	True	3	3	Wilda	78
+962376.0	False	4	5	Centrum	9
+369000.0	True	3	1	Piątkowo	90
+445000.0	True	3	1	Grunwald	69
+250000.0	True	2	10	Grunwald	42
+439000.0	True	4	2	Łazarz	92
+187000.0	True	2	3	Zawady	35
+265000.0	True	3	10	Grunwald	53
+389900.0	True	3	10	Winogrady	67
+387645.0	False	3	5	Grunwald	10
+294810.0	False	2	5	Grunwald	50
+367211.0	False	3	4	Grunwald	10
+289695.0	False	2	4	Grunwald	50
+295000.0	True	2	4	Naramowice	58
+330000.0	True	2	3	Wilda	53
+187000.0	True	2	2	Zawady	35
+273497.0	False	2	3	Grunwald	90
+289695.0	False	2	3	Grunwald	50
+284711.0	False	2	3	Grunwald	70
+367211.0	False	3	2	Grunwald	10
+273497.0	False	2	2	Grunwald	90
+289695.0	False	2	2	Grunwald	50
+284711.0	False	2	2	Grunwald	70
+360600.0	False	3	2	Grunwald	10
+263400.0	False	2	1	Grunwald	90
+279000.0	False	2	1	Grunwald	50
+274200.0	False	2	1	Grunwald	70
+263400.0	False	2	0	Grunwald	9
+279000.0	False	2	0	Grunwald	50
+1725000.0	True	3	0	Stare	136
+279594.0	False	2	2	Grunwald	10
+340234.0	False	3	2	Grunwald	70
+274302.0	False	2	1	Grunwald	10
+284254.0	False	2	1	Grunwald	70
+333670.0	False	3	1	Grunwald	70
+310000.0	True	3	1	Wilda	88
+475000.0	True	3	1	Stare	68
+335000.0	True	2	4	Centrum	45
+279594.0	False	2	2	Grunwald	10
+289738.0	False	2	2	Grunwald	70
+340234.0	False	3	2	Grunwald	70
+274302.0	False	2	1	Grunwald	10
+399000.0	True	2	2	Łazarz	51
+333670.0	False	3	1	Grunwald	70
+499000.0	True	3	1	Rataje	50
+269010.0	False	2	0	Grunwald	10
+230000.0	True	3	4	Centrum	52
+230000.0	True	2	4	Stare	52
+250000.0	True	2	4	Rataje	50
+289000.0	True	2	2	Ogrody	44
+215000.0	True	2	8	Rataje	42
+239000.0	True	2	2	Rataje	38
+293000.0	True	3	1	Wilda	79
+339000.0	True	3	1	Grunwald	54
+307000.0	True	2	4	Stare	48
+280000.0	True	3	4	Rataje	48
+595000.0	True	5	4	Wilda	54
+379000.0	True	3	1	Stare	90
+569000.0	True	2	2	Stare	20
+445000.0	True	2	1	Stare	80
+475000.0	True	3	0	Stare	66
+420000.0	True	3	1	Centrum	60
+259500.0	True	2	0	Grunwald	90
+259500.0	True	2	0	Grunwald	90
+230000.0	True	2	0	Centrum	46
+99000.0	True	2	2	Wilda	52
+329000.0	True	4	4	Rataje	72
+295000.0	True	3	2	Rataje	54
+225000.0	True	2	1	Rataje	42
+285000.0	True	2	3	Wilda	60
+1600000.0	True	3	2	Górczyn	79
+333000.0	True	3	4	Wilda	8
+1600000.0	True	3	2	Górczyn	79
+333000.0	True	3	4	Wilda	8
+2192000.0	True	4	1	Grunwald	21
+339000.0	True	3	4	Winogrady	90
+3233000.0	True	5	1	Grunwald	28
+489000.0	True	2	8	Centrum	39
+336000.0	True	2	3	Istnieje	48
+359000.0	True	3	1	Świerczewo	70
+239000.0	True	2	3	Winogrady	38
+240000.0	True	2	2	Dębiec	48
+439000.0	True	3	0	Jeżyce	75
+404000.0	True	2	2	Centrum	50
+361300.0	False	3	1	Grunwald	66
+385000.0	True	2	1	Centrum	50
+244000.0	False	2	3	Jeżyce	40
+215000.0	True	2	1	Jeżyce	70
+465000.0	True	3	0	Grunwald	60
+329000.0	True	2	0	Naramowice	51
+309000.0	True	3	1	Rataje	20
+420000.0	True	2	3	Stare	50
+480000.0	True	4	3	Centrum	94
+620000.0	True	4	3	Centrum	50
+342000.0	True	3	4	Winogrady	87
+326000.0	True	3	6	Winogrady	1
+330000.0	True	3	7	Piątkowo	40
+315000.0	True	3	0	Nowe	63
+360000.0	True	4	0	Grunwald	66
+360000.0	True	3	3	Nowe	65
+325000.0	True	2	2	Grunwald	47
+531000.0	True	2	1	Grunwald	59
+377000.0	True	3	1	Piątkowo	63
+640000.0	True	3	2	Centrum	80
+150000.0	True	2	2	Nowe	50
+640000.0	True	3	2	Stare	80
+499000.0	True	4	2	Naramowice	85
+250000.0	True	2	10	Grunwald	42
+250000.0	True	3	3	Rataje	53
+333200.0	True	3	4	Wilda	68
+385000.0	True	2	1	Jeżyce	46
+248000.0	True	2	10	Grunwald	42
+389999.0	True	3	4	Grunwald	82
+204999.0	True	2	7	Malta	30
+410000.0	True	5	0	Łazarz	114
+370000.0	True	3	4	Stare	84
+225000.0	True	2	4	Warszawskie	50
+349000.0	True	3	3	Wilda	20
+289000.0	True	3	1	Grunwald	45
+1330000.0	True	3	0	Malta	100
+235000.0	True	3	2	Starołęka	51
+549000.0	True	2	8	Centrum	39
+498000.0	True	4	4	Centrum	86
+525000.0	True	4	3	Nowe	88
+550000.0	True	3	5	Grunwald	73
+410000.0	True	5	0	Łazarz	114
+399000.0	True	3	4	Jeżyce	63
+289000.0	True	3	0	Nowe	10
+308039.0	True	2	0	Stare	52
+322497.0	True	2	6	Stare	51
+220000.0	True	2	1	Łazarz	35
+309000.0	True	3	14	Rataje	80
+293760.0	True	2	3	Winogrady	90
+392181.0	True	3	4	Stare	69
+307257.0	True	2	2	Stare	50
+263140.0	True	2	0	Stare	45
+281881.0	True	2	1	Stare	46
+399000.0	True	5	4	Centrum	10
+511000.0	True	4	1	Stare	104
+428400.0	True	3	0	Piątkowo	60
+260000.0	True	2	2	Jeżyce	10
+369000.0	True	3	1	Stare	90
+379000.0	True	3	1	Piątkowo.	78
+346320.0	True	2	3	Grunwald	40
+440700.0	True	3	3	Grunwald	50
+321285.0	False	2	4	Stare	30
+385000.0	True	3	0	Grunwald	80
+569000.0	True	4	0	Wilda	50
+296033.0	True	2	3	Stare	49
+295362.0	True	2	2	Stare	48
+295362.0	True	2	1	Stare	48
+420000.0	True	5	0	Łazarz	8
+273875.0	True	2	1	Grunwald	13
+450000.0	True	2	2	Jeżyce	41
+379000.0	True	3	1	Piątkowo	78
+270000.0	True	3	3	Rataje	48
+278460.0	True	2	0	Winogrady	10
+298980.0	True	2	5	Stare	30
+369000.0	True	3	1	Piątkowo	78
+450000.0	True	3	0	Winogrady	70
+219000.0	True	2	0	Wilda	36
+345000.0	True	3	5	Rataje	77
+371930.0	False	4	2	Jeżyce	20
+313566.0	False	3	3	Jeżyce	50
+365000.0	True	3	4	Rataje	63
+297000.0	True	2	7	Bonin	49
+350805.0	False	2	2	Rynek	97
+365000.0	True	4	3	Grunwald	68
+405000.0	True	4	2	Rataje	71
+259000.0	True	2	2	Nowe	40
+340000.0	True	3	0	Centrum	10
+275000.0	True	2	0	Dębiec	50
+435000.0	True	3	0	Stare	25
+750000.0	True	2	1	Stare	80
+570000.0	True	4	3	Grunwald	137
+290000.0	True	2	5	Winogrady	42
+360000.0	True	3	14	Rataje	80
+770000.0	True	4	1	Centrum	142
+285000.0	True	2	0	Łazarz	49
+263553.0	True	2	0	Winogrady	67
+475000.0	True	4	4	Wilda	84
+414566.0	False	3	1	Malta	1
+422000.0	False	3	1	Malta	66
+425402.0	False	3	0	Malta	75
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+633832.0	False	4	4	Malta	73
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+423922.0	False	3	1	Malta	75
+633344.0	False	4	4	Malta	65
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+499000.0	True	3	1	Rataje	64
+410110.0	False	3	2	Malta	49
+424178.0	False	3	1	Malta	79
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+422322.0	False	3	1	Malta	73
+411628.0	False	3	0	Malta	68
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+365000.0	True	4	3	Grunwald	68
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+350000.0	True	3	7	Piątkowo	63
+47475.0	True	2	11	Wilda	75
+289000.0	True	3	0	Winogrady	48
+520000.0	False	4	3	Grunwald	10
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+520000.0	False	4	3	Grunwald	12
+520000.0	False	4	2	Grunwald	11
+475000.0	True	5	4	Grunwald	23
+281576.0	False	2	2	Stare	16
+380900.0	True	3	3	Nowe	67
+485000.0	True	5	2	Łazarz	88
+239000.0	True	2	4	Rataje	38
+250000.0	True	2	6	Nowe	45
+429000.0	True	4	2	Jeżyce	110
+370000.0	True	4	0	Wilda	80
+275000.0	True	3	4	Wilda	77
+850000.0	True	5	1	Grunwald	135
+265000.0	True	2	4	Rataje	38
+349000.0	True	3	2	Rataje	64
+229000.0	True	2	0	Grunwald	47
+320000.0	True	3	4	Rataje	60
+430000.0	True	3	2	Rataje	64
+389000.0	True	3	4	Rataje	80
+619000.0	True	4	0	Jeżyce	99
+329900.0	True	2	1	Naramowice	20
+430000.0	True	3	2	Rataje	64
+520000.0	True	4	1	Centrum	50
+369000.0	True	3	0	Stare	64
+505877.0	False	2	5	Centrum	22
+619000.0	True	5	1	Jeżyce	146
+389740.0	True	2	2	Łazarz	96
+434525.0	True	2	2	Łazarz	85
+552955.0	True	3	2	Łazarz	7
+350805.0	True	2	2	Łazarz	97
+279000.0	True	2	0	Piątkowo	10
+460135.0	True	3	0	Łazarz	79
+392790.0	True	3	5	Stare	30
+309000.0	True	4	4	Grunwald	70
+219000.0	True	2	2	Dębiec	30
+1345500.0	True	5	1	Grunwald	117
+690000.0	True	4	5	Grunwald	24
+886860.0	False	3	5	Centrum	80
+372000.0	False	4	0	Grunwald	49
+502136.0	False	2	5	Centrum	77
+342000.0	False	3	1	Grunwald	27
+372000.0	False	4	0	Grunwald	49
+342000.0	False	3	1	Grunwald	27
+473770.0	False	2	5	Centrum	7
+798966.0	False	2	5	Centrum	33
+561663.0	False	3	4	Centrum	69
+396248.0	False	2	4	Centrum	77
+278000.0	True	2	0	Piątkowo	45
+368019.0	False	2	4	Centrum	18
+369000.0	True	3	0	Stare	64
+380000.0	True	4	1	Piątkowo	75
+1345500.0	False	5	1	Grunwald	117
+365000.0	True	2	1	Centrum	50
+659000.0	True	4	1	Rataje	78
+344000.0	True	3	3	Nowe	65
+310000.0	True	2	4	Winogrady	45
+275000.0	True	2	0	Centrum	44
+328000.0	True	4	2	Grunwald	75
+382156.0	False	2	4	Centrum	21
+383676.0	False	2	4	Centrum	4
+387597.0	False	2	4	Centrum	49
+1555200.0	True	4	2	Jeżyce	144
+378128.0	False	2	3	Centrum	77
+649999.0	True	4	1	Stare	90
+584000.0	True	3	1	Centrum	89
+229000.0	True	2	0	Winogrady	38
+238900.0	True	2	0	Grunwald	47
+239000.0	True	2	0	Raszyn	47
+254000.0	True	2	1	Nowe	44
+469000.0	True	3	0	Naramowice	52
+215000.0	True	2	3	Centrum	38
+495000.0	True	3	1	Grunwald	37
+490000.0	True	4	2	Centrum	90
+268000.0	True	2	4	Winogrady	37
+262000.0	True	2	2	Rataje	50
+321845.0	False	3	1	Grunwald	55
+265000.0	True	2	0	Wilda	50
+329000.0	True	4	4	Nowe	20
+360000.0	True	3	3	Naramowice	63
+341776.0	False	2	2	Centrum	14
+356774.0	False	2	1	Centrum	10
+230000.0	True	2	0	Rataje	38
+270000.0	True	2	0	Dębiec	50
+330255.0	False	2	1	Centrum	14
+275000.0	True	2	0	Dębiec	50
+210000.0	True	2	0	Wilda	36
+291000.0	True	4	1	Wilda	70
+1465000.0	True	6	3	Łazarz	38
+579000.0	True	3	1	Łazarz	3
+401000.0	True	3	1	Łazarz	49
+626000.0	True	3	1	Łazarz	59
+558000.0	True	4	1	Wilda	93
+533000.0	True	2	2	Łazarz	19
+595000.0	True	2	2	Łazarz	70
+269000.0	True	2	6	Rataje	50
+520000.0	True	4	7	Nowe	98
+269000.0	True	2	6	Rataje	49
+750000.0	True	4	0	Naramowice	133
+370000.0	True	2	1	Nowe	53
+499000.0	True	3	1	Jeżyce	40
+545000.0	True	2	4	Centrum	49
+420000.0	True	3	3	Łazarz	47
+569000.0	True	4	0	Wilda	50
+370000.0	True	2	2	Naramowice	70
+345000.0	True	3	0	Nowe	60
+207000.0	True	2	1	Dębiec	45
+215000.0	True	2	1	Ogrody	38
+250000.0	True	3	3	Nowe	53
+420000.0	True	2	2	Łazarz	51
+269000.0	True	2	6	Rataje	50
+350000.0	True	2	3	Jeżyce	70
+225200.0	True	2	1	Nowe	39
+348000.0	True	3	3	Piątkowo	63
+260000.0	True	2	0	Naramowice	47
+449000.0	True	6	3	Stare	74
+260000.0	True	2	0	Stare	79
+288000.0	True	2	0	Jeżyce	50
+175000.0	True	2	4	Głuszyna	38
+289000.0	True	2	1	Wilda	47
+439000.0	True	4	2	Grunwald	92
+289000.0	True	3	3	Nowe	63
+184000.0	True	2	0	Grunwald	34
+450000.0	True	3	2	Naramowice	66
+360000.0	True	4	3	Grunwald	70
+379999.0	True	2	5	Jeżyce	61
+368712.0	False	2	5	Centrum	34
+348750.0	False	2	4	Centrum	54
+348750.0	False	2	3	Centrum	58
+393120.0	False	2	3	Centrum	52
+368712.0	False	2	2	Centrum	73
+362880.0	False	2	1	Centrum	37
+368712.0	False	2	0	Centrum	89
+362880.0	False	2	0	Centrum	72
+326430.0	False	2	0	Centrum	40
+480000.0	True	3	3	Stare	94
+360000.0	True	4	3	Grunwald	61
+525000.0	True	4	3	Jeżyce	104
+249000.0	True	2	4	Grunwald	38
+333775.0	True	2	1	Stare	35
+339822.0	True	3	3	Jeżyce	10
+360486.0	True	2	4	Jeżyce	10
+365000.0	True	2	1	Stare	10
+310000.0	True	3	1	Piątkowo	60
+339000.0	True	3	0	Rataje	63
+649000.0	True	4	1	Jeżyce	70
+356000.0	True	3	2	Naramowice	80
+345000.0	True	4	11	Grunwald	40
+499000.0	True	4	3	Stare	103
+269000.0	True	2	1	Rataje	49
+285000.0	True	2	4	Jeżyce	56
+308736.0	True	3	1	Jeżyce	24
+346689.0	True	3	2	Jeżyce	3
+241939.0	True	2	4	Jeżyce	51
+377622.0	True	4	4	Jeżyce	94
+245616.0	True	2	1	Jeżyce	8
+366208.0	True	3	6	Jeżyce	22
+195000.0	True	2	4	Grunwald	70
+262656.0	True	2	5	Stare	4
+458000.0	True	3	4	Centrum	87
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+285000.0	True	2	3	Wilda	50
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+390000.0	True	3	3	Grunwald	87
+259500.0	True	2	0	Łazarz	90
+420000.0	True	2	3	Wilda	70
+560000.0	True	4	1	Naramowice	156
+429000.0	True	3	4	Nowe	79
+340000.0	True	3	0	Stare	70
+340000.0	True	3	0	Stare	70
+270000.0	True	2	2	Rataje	49
+428000.0	True	3	3	Centrum	43
+190000.0	True	2	8	Dębiec	50
+240000.0	True	2	8	Dębiec	38
+315000.0	True	2	2	Piątkowo	48
+404000.0	True	3	0	Warszawskie	52
+249000.0	True	2	0	Jeżyce	33
+350000.0	True	2	3	Grunwald	53
+239000.0	True	2	3	Rataje	49
+245000.0	True	2	9	Rataje	38
+706655.0	False	3	2	Nowe	45
+269973.0	False	3	1	Nowe	50
+249984.0	False	3	1	Nowe	64
+229990.0	False	3	1	Nowe	80
+269967.0	False	3	1	Nowe	30
+269973.0	False	3	1	Nowe	50
+189990.0	False	2	1	Nowe	12
+259993.0	False	3	1	Nowe	18
+199990.0	False	2	1	Nowe	95
+290000.0	True	2	2	Winogrady	41
+259993.0	False	3	1	Nowe	18
+279989.0	False	3	1	Nowe	58
+410000.0	True	3	1	Stare	60
+325000.0	True	2	4	Nowe	49
+285000.0	True	2	3	Wilda	60
+415000.0	True	3	2	Jeżyce	10
+245000.0	True	2	3	Naramowice	45
+260000.0	True	2	2	Rataje	38
+285000.0	True	2	3	Wilda	43
+269000.0	True	2	6	Rataje	50
+345000.0	True	3	5	Rataje	77
+259988.0	False	3	0	Nowe	73
+259980.0	False	3	0	Nowe	52
+189991.0	False	2	0	Nowe	40
+239994.0	False	3	0	Nowe	80
+259980.0	False	3	0	Nowe	52
+259988.0	False	3	0	Nowe	73
+349000.0	True	3	1	Nowe	108
+398000.0	True	3	2	Stare	20
+198789.0	False	2	0	Nowe	15
+198789.0	False	2	0	Nowe	15
+189661.0	False	2	0	Nowe	49
+255000.0	True	2	6	Rataje	49
+310576.0	True	3	3	Stare	55
+330680.0	True	2	1	Stare	59
+1214533.0	True	5	0	Grunwald	50
+550000.0	True	3	1	Grunwald	84
+230000.0	True	2	3	Rataje	36
+389000.0	True	3	2	Jeżyce	10
+300000.0	True	2	2	Winogrady	30
+435000.0	True	4	0	Dębiec	89
+1990000.0	True	3	1	Stare	150
+531000.0	True	2	1	Grunwald	59
+550000.0	True	3	1	Grunwald	84
+230000.0	True	2	3	Rataje	36
+389000.0	True	3	2	Jeżyce	10
+300000.0	True	2	2	Winogrady	30
+310576.0	True	3	3	Stare	55
+330680.0	True	2	1	Stare	59
+1214533.0	True	5	0	Grunwald	50
+550000.0	True	3	1	Grunwald	84
+259988.0	False	3	0	Nowe	73
+259980.0	False	3	0	Nowe	52
+189991.0	False	2	0	Nowe	40
+239994.0	False	3	0	Nowe	80
+259980.0	False	3	0	Nowe	52
+259988.0	False	3	0	Nowe	73
+349000.0	True	3	1	Nowe	108
+398000.0	True	3	2	Stare	20
+198789.0	False	2	0	Nowe	15
+198789.0	False	2	0	Nowe	15
+189661.0	False	2	0	Nowe	49
+255000.0	True	2	6	Rataje	49
+310576.0	True	3	3	Stare	55
+330680.0	True	2	1	Stare	59
+1214533.0	True	5	0	Grunwald	50
+550000.0	True	3	1	Grunwald	84
+230000.0	True	2	3	Rataje	36
+389000.0	True	3	2	Jeżyce	10
+300000.0	True	2	2	Winogrady	30
+435000.0	True	4	0	Dębiec	89
+1990000.0	True	3	1	Stare	150
+531000.0	True	2	1	Grunwald	59
+779000.0	True	3	2	Stare	113
+350000.0	True	2	3	Grunwald	53
+350000.0	True	2	1	Zawady	53
+260000.0	True	3	1	Grunwald	48
+350000.0	True	3	3	Nowe	67
+449000.0	True	3	1	Stare	110
+280000.0	True	3	4	Rataje	48
+280000.0	True	3	4	Rataje	48
+390000.0	True	3	3	Grunwald	87
+390000.0	True	3	3	Wilda	70
+462000.0	True	2	3	Winogrady	70
+220000.0	True	2	3	Rataje	42
+368000.0	True	3	2	Winiary	51
+368000.0	True	3	2	Winiary	51
+368000.0	True	3	2	Winiary	51
+402000.0	True	3	1	Winogrady	27
+289000.0	True	2	7	Winiary	48
+320000.0	True	2	2	Zawady	53
+233361.0	True	2	4	Jeżyce	60
+245000.0	True	2	3	Stare	50
+299500.0	False	3	0	Junikowo	59
+462000.0	True	2	3	Winogrady	57
+378000.0	False	4	0	Junikowo	35
+225000.0	True	4	3	Wilda	60
+249000.0	True	2	4	Winiary	49
+569000.0	True	4	0	Wilda	40
+308736.0	True	2	2	Jeżyce	48
+356000.0	True	3	2	Naramowice	63
+349000.0	True	3	1	Stare	83
+1650000.0	True	4	0	Sołacz	70
+330000.0	True	2	3	Wilda	53
+346689.0	True	3	4	Jeżyce	55
+363347.0	True	4	5	Jeżyce	57
diff --git a/wyk/saddle_point_evaluation_optimizers.gif b/wyk/saddle_point_evaluation_optimizers.gif
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diff --git a/wyk/sgd-comparison.png b/wyk/sgd-comparison.png
new file mode 100644
index 0000000..af8bcdf
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