{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SinvPGUOIrwdLd+SRWVzDpkOl/Pf6WTz21T5GR/l3Oj3q7+VOYqgPOw/3zM4MQgghRE/q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\nWQuV6Zw7YLeenDZpMAc1ssuxRBJHje3Doy+9zTf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      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "202\n"
     ]
    }
   ],
   "source": [
    "#This Section Is For ARIMA and ARIMAX\n",
    "import pandas as pd\n",
    "from pandas import Series\n",
    "import numpy as np\n",
    "import datetime\n",
    "from pandas_datareader import data as pdr\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn\n",
    "from fbprophet import Prophet\n",
    "import statsmodels.api as sm\n",
    "import statsmodels.tsa as ts\n",
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "from statsmodels.tsa.arima_model import ARIMAResults\n",
    "from sklearn.neural_network import MLPRegressor\n",
    "from sklearn.metrics import scorer\n",
    "from sklearn.metrics import accuracy_score\n",
    "from sklearn.metrics import mean_squared_error\n",
    "from sklearn.metrics import r2_score\n",
    "from matplotlib import pyplot\n",
    "import itertools as it\n",
    "from matplotlib import mlab\n",
    "\n",
    "kbank = pdr.get_data_yahoo(\"KBANK.BK\", start=\"2018-01-01\", end=\"2018-10-25\")\n",
    "kbank= kbank.dropna()\n",
    "close_price = kbank['Close'].get_values()\n",
    "date = kbank.index\n",
    "kbank.Close.plot(figsize=(10,3))\n",
    "plt.ylabel('Stock Price (BAHT)')\n",
    "plt.xlabel('Year')\n",
    "plt.show()\n",
    "print(len(close_price))\n",
    "\n",
    "#Find RMSE from Residual Error\n",
    "def RMSEfromResid(X):\n",
    "    summ = 0\n",
    "    for i in X:\n",
    "        summ+=i**2\n",
    "    return((summ/len(X))**0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0Kv6P/tINr8OiJAHEpm64sXGcHI4iEC6+wMVSEh7c1Yt3rGvC4mqX4WOYm7DQ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\nQmCC\n",
      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create a differenced series\n",
    "plt.figure(figsize=(10,3))\n",
    "plt.plot(date[:len(date)-1], kbank['Close'].diff().dropna())\n",
    "plt.ylabel('Stock Price (BAHT)')\n",
    "plt.xlabel('Year')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Fh+qLJaGo+OmONrx2ahAxWQWlyL5DgCmLc+ZmYeDxc86aql3whuIp4pRV66U6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\n",
      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create a differenced series\n",
    "plt.figure(figsize=(10,3))\n",
    "plt.plot(date[:len(date)-1], kbank['Volume'].diff().dropna())\n",
    "plt.ylabel('Volume')\n",
    "plt.xlabel('Year')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Ax3cfYGzi8IBVn9H8CpKOxdYzaXYqmecrM28Hbp+07t0tt98BvKOKfUmNRjJaqzM6UYSq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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Analysis of ACF and PACF on Close Price\n",
    "fig = plt.figure(figsize=(10,6))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(kbank['Close'], lags=30, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(kbank['Close'], lags=30, ax=ax2)\n",
    "plt.xlabel('Time lag')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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RuaQrgBdHxDtHkfeLQHdEfOwQ16lWey4lm8oJ4CHg3QPrlYom6RLgnRHxmnG+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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Analysis of ACF and PACF on differece Close Price\n",
    "fig = plt.figure(figsize=(10,6))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(kbank['Close'].diff().dropna(), lags=30, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(kbank['Close'].diff().dropna(), lags=30, ax=ax2)\n",
    "plt.xlabel('Time lag')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AVxeqfKx3fEQsbTEeMzMzs47XaoJ2LLAgv18AzOyj/luBH0fEIy0u18zMzKxr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\nQmCC\n",
      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Cross Correlation between differenced closing price and differenced volume\n",
    "xaxis = [x for x in range(-30,31)]\n",
    "y_up = [(2/(len(close_price)**0.5)) for i in range(-30,31)]\n",
    "y_down = [(-2/(len(close_price)**0.5)) for i in range(-30,31)]\n",
    "close_diff = kbank['Close'].diff().dropna().get_values()\n",
    "vol_diff =  kbank['Volume'].diff().dropna().get_values()\n",
    "\n",
    "fig = plt.figure(figsize=(10,3))\n",
    "plt.xcorr(close_diff, vol_diff, usevlines=True, maxlags=30, normed=True, lw=3)\n",
    "plt.ylim(-1, 1)\n",
    "plt.xlim(-0.5, 30)\n",
    "plt.axhline(0, color='black', lw=2)\n",
    "plt.plot(xaxis, y_up, color='blue', lw=1)\n",
    "plt.plot(xaxis, y_down, color='blue', lw=1)\n",
    "plt.xlabel('Time lag')\n",
    "plt.title('Cross correlation: Closing Price and Volume After First Differencing')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vrZj+PVK/kcckVSuveuVUVz5g1+wLFhGXk05NfoTUwvJQXvbPq6R9hNTH5jOkYPOfgXdF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\nRK5CYII=\n",
      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Cross Correlation between differenced closing price and differenced opening price \n",
    "open_diff =  kbank['Open'].diff().dropna().get_values()\n",
    "\n",
    "fig = plt.figure(figsize=(10,3))\n",
    "plt.xcorr(close_diff,open_diff, usevlines=True, maxlags=30, normed=True, lw=3)\n",
    "plt.ylim(-1, 1)\n",
    "plt.xlim(-0.5, 30)\n",
    "plt.axhline(0, color='black', lw=2)\n",
    "plt.plot(xaxis, y_up, color='blue', lw=1)\n",
    "plt.plot(xaxis, y_down, color='blue', lw=1)\n",
    "plt.xlabel('Time lag')\n",
    "plt.title('Cross correlation: Closing Price and Opening Price After First Differencing')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vBx4Bri4U+WhPfkQsabI+ZmZmZm2v2QDtGODi/Pli4Ng+yh8H/CwiHmlyvmZm\nZmYdq9kA7ekRsQYgv+/eR/kTgcsq0j4r6WZJ50gaVWtESTMldUvqXrduXXO1NjMzMyuxPgM0SddK\nurXK65j+zEjSOOA5wIJC8seAA4AXALsCp9caPyLmRkRXRHSNHTu2P7M2MzMzaysj+yoQEdNq5Um6\nV9K4iFiTA7C1dSZ1PHBFRPyzMO01+ePjkr4JfKTBepuZmZl1rGYPcc4HZuTPM4Cr6pQ9iYrDmzmo\nQ5JI56/d2mR9zMzMzNpeswHaHGC6pGXA9DyMpC5JF/QUkrQ3MBH4RcX435Z0C3ALMAY4q8n6mJmZ\nmbW9Pg9x1hMR9wOvqJLeDbyrMHwXML5KuZc3M38zMzOzTuQnCZiZmZmVjAM0MzMzs5JxgGZmZmZW\nMg7QzMzMzErGAZqZmZlZyThAMzMzMysZB2hmZmZmJeMAzczMzKxkHKCZmZmZlYwDNDMzM7OScYBm\nZmZmVjJNBWiS3ijpNkmbJXXVKXekpDskLZd0RiF9H0m/lbRM0nclbddMfczMzMw6QbN70G4F/hfw\ny1oFJI0AzgNeDRwEnCTpoJx9NnBOREwGHgDe2WR9zMzMzNpeUwFaRNweEXf0UexQYHlErIiIJ4DL\ngWMkCXg58P1c7mLg2GbqY2ZmZtYJhuIctPHAysLwqpy2G/BgRGysSDczMzPbqo3sq4Cka4E9qmR9\nIiKuamAeqpIWddJr1WMmMDMPbpDU1567McB9DdTPmue2Hlpu76Hjth5abu+h47YeWvv3d4Q+A7SI\nmDawuvzLKmBiYXgCsJrUMXaRNDLvRetJr1WPucDcRmcqqTsial64YK3jth5abu+h47YeWm7voeO2\nHlqSuvs7zlAc4lwETM5XbG4HnAjMj4gArgeOy+VmAI3skTMzMzPraM3eZuP1klYBhwE/kbQgp+8p\n6acAee/YqcAC4HZgXkTclidxOnCapOWkc9K+0Ux9zMzMzDpBn4c464mIK4ArqqSvBo4qDP8U+GmV\ncitIV3kOhoYPh1rT3NZDy+09dNzWQ8vtPXTc1kOr3+2tdKTRzMzMzMrCj3oyMzMzK5mOC9BqPVbK\nBoekuyTdImnJQK5SsfokXShpraRbC2m7SromPyLtGkmjh7OOnaJGW8+SdHfu30skHVVvGtYYSRMl\nXS/p9vy4wA/mdPftQVCnvd2/W0zS9pJ+J+mPua0/ndP7/WjLjjrEmR8r9WdgOun2HouAkyJi6bBW\nrINJugvoigjfT2cQSHopsAG4JCKendO+AKyPiDn5T8joiDh9OOvZCWq09SxgQ0T853DWrdNIGgeM\ni4jfS9oJWEx6kszJuG+3XJ3Dz2z+AAAET0lEQVT2Ph7375bKT0naMSI2SNoWuAH4IHAa8MOIuFzS\n+cAfI+Kr9abVaXvQqj5WapjrZDZgEfFLYH1F8jGkR6OBH5HWMjXa2gZBRKyJiN/nzw+TrvAfj/v2\noKjT3tZikWzIg9vmVzCAR1t2WoBW67FSNngCuFrS4vy0Bxt8T4+INZA2vMDuw1yfTneqpJvzIVAf\ncmsxSXsDzwd+i/v2oKtob3D/bjlJIyQtAdYC1wB3MoBHW3ZagNavx0dZSxweEQcDrwbelw8TmXWK\nrwLPAKYAa4AvDm91OoukpwI/AD4UEQ8Nd306XZX2dv8eBBGxKSKmkJ6QdChwYLVifU2n0wK0Wo+V\nskGS73lHRKwl3RNvsO5rZ1vcm88p6Tm3ZO0w16djRcS9eWO7Gfg67t8tk8/P+QHw7Yj4YU523x4k\n1drb/XtwRcSDwELgReRHW+ashmKTTgvQqj5Wapjr1LEk7ZhPOEXSjsArgVvrj2UtMJ/0aDTwI9IG\nVU+wkL0e9++WyCdSfwO4PSK+VMhy3x4Etdrb/bv1JI2VtEv+vAMwjXTOX78fbdlRV3EC5MuEzwVG\nABdGxGeHuUodS9K+bHmSxEjgO27v1pJ0GTAVGAPcC5wJXAnMAyYBfwPeGBE+ub1JNdp6KunwTwB3\nAe/uOUfKBk7SEcCvgFuAzTn546Tzoty3W6xOe5+E+3dLSXou6SKAEaSdYPMiYnb+vbwc2BX4A/CW\niHi87rQ6LUAzMzMza3eddojTzMzMrO05QDMzMzMrGQdoZmZmZiXjAM3MzMysZBygmZmZmZXMyL6L\nmJmVi6TdgOvy4B7AJmBdHn4kIl7c4vlNBT4SEa9t5XTNzGpxgGZmbSci7ifdvwlJs4ANEfGfw1op\nM7MW8iFOM+sokjbk96mSfiFpnqQ/S5oj6c2SfifpFknPyOXGSvqBpEX5dXgf0z9U0m8k/SG/75/T\nn5LndbOk70r6raSuwV9iM+tE3oNmZp3seaQHFa8HVgAXRMShkj4IvB/4EPBl4JyIuEHSJGAB1R9u\n3ONPwEsjYqOkacDngDcA7wUeiIjnSno2sGTQlsrMOp4DNDPrZIt6Hl0j6U7g6px+C/Cy/HkacFB6\nXCEAT5O0U0Q8XGOaOwMXS5pMekTOtjn9CFKwR0TcKunmli6JmW1VHKCZWScrPutuc2F4M1u2f9sA\nh0XEow1O8zPA9RHxekl7AwtzumqNYGbWXz4Hzcy2dlcDp/YMSJrSR/mdgbvz55ML6TcAx+dpHAQ8\np3VVNLOtjQM0M9vafQDoyif3LwVO6aP8F4DPS/o1MKKQ/hVgbD60eTpwM/D3waiwmXU+RcRw18HM\nrO1JGgFsGxGP5StErwOeGRFPDHPVzKwN+Rw0M7PWeApwvaRtSeejvcfBmZkNlPegmZmZmZWMz0Ez\nMzMzKxkHaGZmZmYl4wDNzMzMrGQcoJmZmZmVjAM0MzMzs5JxgGZmZmZWMv8fUqcNGCd0+LsAAAAA\nSUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Cross Correlation between differenced closing price and differenced high price \n",
    "high_diff =  kbank['High'].diff().dropna().get_values()\n",
    "\n",
    "fig = plt.figure(figsize=(10,3))\n",
    "\n",
    "plt.xcorr(close_diff, high_diff,usevlines=True, maxlags=30, normed=True, lw=3)\n",
    "\n",
    "plt.ylim(-1, 1)\n",
    "plt.xlim(-0.5, 30)\n",
    "plt.axhline(0, color='black', lw=2)\n",
    "plt.plot(xaxis, y_up, color='blue', lw=1)\n",
    "plt.plot(xaxis, y_down, color='blue', lw=1)\n",
    "plt.xlabel('Time lag')\n",
    "plt.title('Cross correlation: Closing Price and High Price After First Differencing')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zM7Nu0OoetNOBKyNiKnBl7t5KRFwVEdMiYhrwWuAx4LJClU/294+IZS3GY2Zm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\nZmZmVjJO0MzMzMxK5v8DwO8/OL145/cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Cross Correlation between differenced closing price and differenced low price\n",
    "low_diff =  kbank['Low'].diff().dropna().get_values()\n",
    "\n",
    "fig = plt.figure(figsize=(10,3))\n",
    "\n",
    "plt.xcorr(close_diff,low_diff,usevlines=True, maxlags=30, normed=True, lw=3)\n",
    "\n",
    "plt.ylim(-1, 1)\n",
    "plt.xlim(-0.5, 30)\n",
    "plt.axhline(0, color='black', lw=2)\n",
    "plt.plot(xaxis, y_up, color='blue', lw=1)\n",
    "plt.plot(xaxis, y_down, color='blue', lw=1)\n",
    "plt.xlabel('Time lag')\n",
    "plt.title('Cross correlation: Closing Price and Low Price After First Differencing')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#ARIMA Models selection\n",
    "kbank = pdr.get_data_yahoo(\"KBANK.BK\", start=\"2018-01-01\", end=\"2018-10-25\")\n",
    "date = kbank.index\n",
    "X = kbank['Close'].get_values()\n",
    "size = int(len(X)*0.80)\n",
    "train, test = X[0:size], X[size:len(X)]\n",
    "date_test = date[size:]\n",
    "def evaluate_arima_model(X, model_order):\n",
    "    model_arima = ARIMA(X, order=model_order).fit(disp=0)\n",
    "    AIC = ARIMAResults.aic(model_arima)\n",
    "    BIC = ARIMAResults.bic(model_arima)\n",
    "    LLF = model_arima.llf\n",
    "    RMSE = RMSEfromResid(model_arima.resid)\n",
    "    return([AIC, BIC, LLF, RMSE])\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "# evaluate combinations of p, d and q values for an ARIMA model\n",
    "p_values = [0,1,2,3]\n",
    "d_values = [1]\n",
    "q_values = [0,1,2]\n",
    "data = list()\n",
    "for p in p_values:\n",
    "    for d in d_values:\n",
    "        for q in q_values:\n",
    "            order = (p,d,q)\n",
    "            try:\n",
    "                [AIC, BIC, LLF, RMSE] = evaluate_arima_model(train, order)\n",
    "                data.append([order,AIC, BIC, LLF, RMSE])\n",
    "            except:\n",
    "                continue\n",
    "\n",
    "ARIMA_Models = pd.DataFrame(data,columns=['ARIMA', 'AIC', 'BIC', 'Maximum Log-Likelihood', 'RMSE'],dtype=float)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([215., 213., 211., 212., 212., 208., 210., 208., 208., 203., 206.,\n",
       "       214., 217., 212., 216., 216., 214., 217., 215., 215., 213., 214.,\n",
       "       216., 215., 213., 213., 214., 211., 209., 210., 213., 209., 209.,\n",
       "       209., 207., 206., 202., 207., 205., 209., 206.])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test RMSE: 2.808\n"
     ]
    },
    {
     "data": {
      "image/png": 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+7fwpABPaTEiv8JeRyEjpKlK6dN77yFggJSOaJq3PGzfKQjHGqOhckYo0hlqb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\nQ0lMSWTlsZXp2wzfJZDXKy8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KCV/fzIFUcXGZv0sGy3NOQYMX7qjqgoqHAz8/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\n96bcyw1n3cDTS55mXv68Zrya9sOsbcOTuwsKguAaX1/lS05NVUkZn3x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ZAnVt5SdnTuas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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#ARIMA\n",
    "#This Section is for Prediction\n",
    "\n",
    "history = [x for x in train]\n",
    "predictions = list()\n",
    "data=list()\n",
    "#len_test = len(test)\n",
    "len_test= len(test)\n",
    "for t in range(len_test):\n",
    "    model_arima = ARIMA(endog = history, order=(3, 1, 0)).fit(disp=0)\n",
    "    output = model_arima.forecast()\n",
    "    yhat = output[0]\n",
    "    predictions.append(yhat)\n",
    "    obs = test[t]\n",
    "    history.append(obs)\n",
    "    data.append([date_test[t], obs, yhat])\n",
    "    \n",
    "RMSE = (mean_squared_error(test, predictions))**0.5\n",
    "arima_results = pd.DataFrame(data,columns=['Period','Actual Price', 'Predicted Price'],dtype=float)\n",
    "print('Test RMSE: %.3f' % RMSE)\n",
    "# plot\n",
    "pyplot.rcParams['figure.figsize'] = (12,5)\n",
    "pyplot.plot(date_test, test, color='Blue', label='ACTUAL', marker='x')\n",
    "pyplot.plot(date_test, predictions, color='green', label='PREDICTED', marker='x')\n",
    "pyplot.legend(loc='upper right')\n",
    "pyplot.show()\n",
    "arima_pred = predictions\n",
    "arima_RMSE = RMSE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "202\n"
     ]
    }
   ],
   "source": [
    "#ARIMAX Model\n",
    "kbank2 = pdr.get_data_yahoo(\"KBANK.BK\", start=\"2017-12-27\", end=\"2018-10-25\")\n",
    "kbank2= kbank2.dropna()\n",
    "kbank2['open_lag1'] = kbank2['Open'].diff().shift()\n",
    "kbank2['open_lag2'] = kbank2['Open'].diff().shift().shift()\n",
    "kbank2['high_lag1'] = kbank2['High'].diff().shift()\n",
    "kbank2['high_lag2'] = kbank2['High'].diff().shift().shift()\n",
    "kbank2['low_lag1'] = kbank2['Low'].diff().shift()\n",
    "kbank2['low_lag2'] = kbank2['Low'].diff().shift().shift()\n",
    "kbank2.dropna(inplace=True)\n",
    "date = kbank2.index\n",
    "print(len(kbank2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#ARIMAX Model Selection\n",
    "close = kbank2['Close']\n",
    "ex = kbank2[['open_lag2', 'high_lag2']]\n",
    "m = len(close)\n",
    "size = int(len(X)*0.8)\n",
    "train, test = close[0:size], close[size:m]\n",
    "ex_train, ex_test = ex[0:size], ex[size:m]\n",
    "date_test = date[size:]\n",
    "\n",
    "def evaluate_arimax_model(y, X, model_order):\n",
    "    model_arimax = ARIMA(endog = y, exog=X, order=model_order).fit()\n",
    "    AIC = ARIMAResults.aic(model_arimax)\n",
    "    BIC = ARIMAResults.bic(model_arimax)\n",
    "    LLF = model_arimax.llf\n",
    "    RMSE = RMSEfromResid(model_arimax.resid)\n",
    "    return([AIC, BIC, LLF, RMSE])\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "# evaluate combinations of p, d and q values for an ARIMA model\n",
    "p_values = [0,1,2,3]\n",
    "d_values = [1]\n",
    "q_values = [0,1,2]\n",
    "data = list()\n",
    "for p in p_values:\n",
    "    for d in d_values:\n",
    "        for q in q_values:\n",
    "            order = (p,d,q)\n",
    "            try:\n",
    "                [AIC, BIC, LLF, RMSE] = evaluate_arimax_model(train,ex_train , order)\n",
    "                data.append([order,AIC, BIC, LLF, RMSE])\n",
    "            except:\n",
    "                continue\n",
    "\n",
    "ARIMAX_Models = pd.DataFrame(data,columns=['ARIMAX', 'AIC', 'BIC', 'Maximum Log-Likelihood', 'RMSE'],dtype=float)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "    .dataframe tbody tr th {\n",
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>open_lag2</th>\n",
       "      <th>high_lag2</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2018-01-03</th>\n",
       "      <td>-1.0</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-04</th>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-05</th>\n",
       "      <td>-1.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-08</th>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-09</th>\n",
       "      <td>3.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-10</th>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-11</th>\n",
       "      <td>-3.0</td>\n",
       "      <td>-5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-12</th>\n",
       "      <td>-5.0</td>\n",
       "      <td>-4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-15</th>\n",
       "      <td>-2.0</td>\n",
       "      <td>-3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-16</th>\n",
       "      <td>0.0</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-17</th>\n",
       "      <td>6.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-18</th>\n",
       "      <td>-3.0</td>\n",
       "      <td>-4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-19</th>\n",
       "      <td>-3.0</td>\n",
       "      <td>-2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-22</th>\n",
       "      <td>-1.0</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-23</th>\n",
       "      <td>-10.0</td>\n",
       "      <td>-6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-24</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-25</th>\n",
       "      <td>-1.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-26</th>\n",
       "      <td>5.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-29</th>\n",
       "      <td>0.0</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-30</th>\n",
       "      <td>-1.0</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-01-31</th>\n",
       "      <td>5.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-02-01</th>\n",
       "      <td>2.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-02-02</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-02-05</th>\n",
       "      <td>-1.0</td>\n",
       "      <td>-2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-02-06</th>\n",
       "      <td>-2.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-02-07</th>\n",
       "      <td>-3.0</td>\n",
       "      <td>-3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-02-08</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-02-09</th>\n",
       "      <td>2.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-02-12</th>\n",
       "      <td>-2.0</td>\n",
       "      <td>-3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-02-13</th>\n",
       "      <td>-7.0</td>\n",
       "      <td>-2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-13</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-14</th>\n",
       "      <td>-6.0</td>\n",
       "      <td>-2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-17</th>\n",
       "      <td>9.0</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-18</th>\n",
       "      <td>5.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-19</th>\n",
       "      <td>0.0</td>\n",
       "      <td>-2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-20</th>\n",
       "      <td>-2.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-21</th>\n",
       "      <td>4.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-24</th>\n",
       "      <td>0.0</td>\n",
       "      <td>-2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-25</th>\n",
       "      <td>-2.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-26</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-27</th>\n",
       "      <td>-1.0</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-28</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-01</th>\n",
       "      <td>-2.0</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-02</th>\n",
       "      <td>3.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-03</th>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-04</th>\n",
       "      <td>-3.0</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-05</th>\n",
       "      <td>0.0</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-08</th>\n",
       "      <td>-1.0</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-09</th>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-10</th>\n",
       "      <td>-3.0</td>\n",
       "      <td>-3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-11</th>\n",
       "      <td>-1.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-12</th>\n",
       "      <td>3.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-16</th>\n",
       "      <td>-2.0</td>\n",
       "      <td>-3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-17</th>\n",
       "      <td>-1.0</td>\n",
       "      <td>-1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-18</th>\n",
       "      <td>0.0</td>\n",
       "      <td>-2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-19</th>\n",
       "      <td>1.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-22</th>\n",
       "      <td>-2.0</td>\n",
       "      <td>-3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-24</th>\n",
       "      <td>-3.0</td>\n",
       "      <td>-2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-25</th>\n",
       "      <td>-3.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-26</th>\n",
       "      <td>4.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>202 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            open_lag2  high_lag2\n",
       "Date                            \n",
       "2018-01-03       -1.0       -1.0\n",
       "2018-01-04        1.0        1.0\n",
       "2018-01-05       -1.0        1.0\n",
       "2018-01-08        5.0        7.0\n",
       "2018-01-09        3.0        0.0\n",
       "2018-01-10        1.0        1.0\n",
       "2018-01-11       -3.0       -5.0\n",
       "2018-01-12       -5.0       -4.0\n",
       "2018-01-15       -2.0       -3.0\n",
       "2018-01-16        0.0        6.0\n",
       "2018-01-17        6.0        1.0\n",
       "2018-01-18       -3.0       -4.0\n",
       "2018-01-19       -3.0       -2.0\n",
       "2018-01-22       -1.0       -1.0\n",
       "2018-01-23      -10.0       -6.0\n",
       "2018-01-24        1.0       -4.0\n",
       "2018-01-25       -1.0        4.0\n",
       "2018-01-26        5.0        1.0\n",
       "2018-01-29        0.0        3.0\n",
       "2018-01-30       -1.0       -1.0\n",
       "2018-01-31        5.0        4.0\n",
       "2018-02-01        2.0        0.0\n",
       "2018-02-02        0.0        0.0\n",
       "2018-02-05       -1.0       -2.0\n",
       "2018-02-06       -2.0        0.0\n",
       "2018-02-07       -3.0       -3.0\n",
       "2018-02-08        0.0        0.0\n",
       "2018-02-09        2.0        1.0\n",
       "2018-02-12       -2.0       -3.0\n",
       "2018-02-13       -7.0       -2.0\n",
       "...               ...        ...\n",
       "2018-09-13        0.0        0.0\n",
       "2018-09-14       -6.0       -2.0\n",
       "2018-09-17        9.0        9.0\n",
       "2018-09-18        5.0        2.0\n",
       "2018-09-19        0.0       -2.0\n",
       "2018-09-20       -2.0        2.0\n",
       "2018-09-21        4.0        1.0\n",
       "2018-09-24        0.0       -2.0\n",
       "2018-09-25       -2.0        0.0\n",
       "2018-09-26        1.0        0.0\n",
       "2018-09-27       -1.0       -1.0\n",
       "2018-09-28        0.0        0.0\n",
       "2018-10-01       -2.0       -1.0\n",
       "2018-10-02        3.0        1.0\n",
       "2018-10-03        1.0        1.0\n",
       "2018-10-04       -3.0       -1.0\n",
       "2018-10-05        0.0       -1.0\n",
       "2018-10-08       -1.0       -1.0\n",
       "2018-10-09        0.0        1.0\n",
       "2018-10-10       -3.0       -3.0\n",
       "2018-10-11       -1.0        1.0\n",
       "2018-10-12        3.0        2.0\n",
       "2018-10-16       -2.0       -3.0\n",
       "2018-10-17       -1.0       -1.0\n",
       "2018-10-18        0.0       -2.0\n",
       "2018-10-19        1.0        2.0\n",
       "2018-10-22       -2.0       -3.0\n",
       "2018-10-24       -3.0       -2.0\n",
       "2018-10-25       -3.0        2.0\n",
       "2018-10-26        4.0        0.0\n",
       "\n",
       "[202 rows x 2 columns]"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ex"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test RMSE: 2.784\n"
     ]
    },
    {
     "data": {
      "image/png": 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cbkrf88DJOxg4MPtrjWclT/xW+aUI6NTVFY3l9GmZN9yclo0NpzfQe2VvmlRs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\nYII=\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#ARIMAX\n",
    "#This Section is for Prediction\n",
    "\n",
    "history = [x for x in train]\n",
    "his_u = ex_train\n",
    "predictions = list()\n",
    "data=list()\n",
    "test_index = list()\n",
    "for t in range(len(ex_test)):\n",
    "    model_arimax = ARIMA(endog = history,exog=his_u, order=(2, 1, 0)).fit(disp=0)\n",
    "    output = model_arimax.forecast(steps=1, exog=ex_test[['open_lag2', 'high_lag2']].iloc[[t]])\n",
    "    yhat = output[0]\n",
    "    predictions.append(yhat)\n",
    "    history.append(test[t])\n",
    "    test_index.append(t)\n",
    "    his_u = ex_train.append(ex_test.iloc[test_index])\n",
    "    data.append([date_test[t], test[t], yhat])\n",
    "    \n",
    "RMSE = (mean_squared_error(test, predictions))**0.5\n",
    "arima_results = pd.DataFrame(data,columns=['Period','Actual Price', 'Predicted Price'],dtype=float)\n",
    "print('Test RMSE: %.3f' % RMSE)\n",
    "# plot\n",
    "pyplot.rcParams['figure.figsize'] = (12,5)\n",
    "pyplot.plot(date_test, test, color='Blue', label='ACTUAL', marker='x')\n",
    "pyplot.plot(date_test, predictions, color='green', label='PREDICTED', marker='x')\n",
    "pyplot.legend(loc='upper right')\n",
    "pyplot.show()\n",
    "arimax_pred = predictions\n",
    "arimax_RMSE = RMSE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#This section is for ANN Model 1 and ANN Model 2\n",
    "kbank3 = pdr.get_data_yahoo(\"KBANK.BK\", start=\"2008-01-01\", end=\"2018-10-25\")\n",
    "kbank3= kbank3.dropna()\n",
    "close_lag1 = list(kbank3['Close'].shift().dropna())\n",
    "close_lag2 = list(kbank3['Close'].shift().shift().dropna())\n",
    "open_lag1 = list(kbank3['Open'].shift().dropna())\n",
    "open_lag2 = list(kbank3['Open'].shift().shift().dropna())\n",
    "high_lag1 = list(kbank3['High'].shift().dropna())\n",
    "high_lag2 = list(kbank3['High'].shift().shift().dropna())\n",
    "low_lag1 = list(kbank3['Low'].shift().dropna())\n",
    "low_lag2 = list(kbank3['Low'].shift().shift().dropna())\n",
    "date3 = kbank3.index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "42\n",
      "[2.870449461698269, 3.0133070313458807, 2.9216987886151298, 2.773425579527928, 2.8227092005289713, 2.7355725384430656, 2.762525777971472, 2.9385138000455227, 2.983016087700121, 3.1668967082001296, 3.009760646278588, 3.2310898726047848, 3.365519480953901, 3.1862860406530555, 3.1169957013675194, 3.1145252858779036, 3.141514050873028, 3.1318632267037096, 3.1371639306756443, 3.2599017608884284, 2.9588863066867725, 3.06210407052423, 3.1455546141003903, 3.2025110444782308, 3.246498314699383, 3.0222939254072365, 3.0178725314069785, 3.1182693711579783, 3.168449487058484, 3.0517384940813623, 3.274448121718971, 3.1315308556093115, 2.9837985626928187, 3.0719389218977473, 3.2193784492897386, 2.9965692727965894, 3.1483387405374788, 3.106739264897779, 3.170929111771865, 3.106959203159585, 3.1592015116965793, 2.9578039056868866, 3.0974506567267985, 3.0764042004610053, 3.107041634185645, 3.152450216895818, 3.164490401007375, 3.2184616313159444, 3.1145116877091783, 2.9759700122082364]\n"
     ]
    }
   ],
   "source": [
    "#ANN Model 1\n",
    "m = len(close_lag2)\n",
    "lag = 2\n",
    "n = 1\n",
    "X = np.zeros((m,n*lag))\n",
    "y =kbank3['Close'].get_values()[lag:]\n",
    "for i in range(len(close_lag2)):\n",
    "    X[i,0] = close_lag1[i+1]\n",
    "    X[i,1] = close_lag2[i]\n",
    "\n",
    "#Choose ANN test set to be the same as the test set of ARIMA\n",
    "size = int(len(kbank3)*0.984)\n",
    "X_train, X_test = X[0:size], X[size:len(X)]\n",
    "y_train, y_test = y[0:size], y[size:len(X)]\n",
    "date_test = date3[size+lag:]\n",
    "RMSE_list = list()\n",
    "node = list()\n",
    "node_rmse = list()\n",
    "for num_node in range(2,400,8):\n",
    "    mlp = MLPRegressor(hidden_layer_sizes=(num_node,), random_state=0, max_iter=2000)\n",
    "    ann_model = mlp.fit(X_train, y_train)\n",
    "    y_pred_train = mlp.predict(X_train)\n",
    "    RMSE = (mean_squared_error(y_train, y_pred_train))**0.5\n",
    "    node_rmse.append(RMSE)\n",
    "    node.append(num_node)\n",
    "best_node1 = node[np.argmin(node_rmse)]\n",
    "print(best_node1)\n",
    "print(node_rmse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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KJsaGnKlj1J8WThjBTxdP4PFPDjB+RDDfv3hsn4/Z2Gzh7Zxinv0qn2OVDYQH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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,3))\n",
    "plt.plot(node, node_rmse, marker='x')\n",
    "plt.ylabel('Training RMSE')\n",
    "plt.xlabel('Hidden layer neurons')\n",
    "plt.title('ANN Model 1')\n",
    "plt.ylim(2.6, 3.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IPGWKeH8bNy7+93PG9q/gtxFQ/3K44icIru64nWWJBrg9qzB2bNEYaJveX0rh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\nP+75fsGhEDsTanSChXEXdlyi4jt22Ia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1HTrIj5ee5xZdoHmW5j0rhQbPqrpI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\nAABTbOftosyEUAYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test RMSE: 2.756\n"
     ]
    }
   ],
   "source": [
    "mlp = MLPRegressor(hidden_layer_sizes=(best_node1,), random_state=0,max_iter=2000)\n",
    "ann_model = mlp.fit(X_train, y_train)\n",
    "y_pred = mlp.predict(X_test)\n",
    "RMSE = mean_squared_error(y_test, y_pred)**0.5\n",
    "pyplot.rcParams['figure.figsize'] = (12,5)\n",
    "pyplot.plot(date_test, y_test, color='Red', label='ACTUAL', marker='x')\n",
    "pyplot.plot(date_test, y_pred, color='Orange', label='PREDICTED', marker='x')\n",
    "pyplot.legend(loc='upper right')\n",
    "pyplot.show()\n",
    "print('Test RMSE: %.3f' % RMSE)\n",
    "ann1_pred = y_pred\n",
    "ann1_RMSE = RMSE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3.176190268077974, 3.55379105733384, 3.6164201382032735, 2.888563066862733, 3.2113548283523654, 3.2266410966290597, 3.100411988783533, 4.275435344849052, 3.3959780058246336, 3.8848166042765064, 3.1505171605416993, 4.256300630767773, 3.377084457431171, 3.1393140483961393, 3.137519863563841, 4.005329720254769, 3.435016815879698, 3.885156012080387, 3.4564936209836303, 3.6912349260729242, 3.6834212617772377, 3.0470816816219974, 3.1298360733251145, 3.1939182577257372, 3.130997820094692, 3.228848577816747, 3.0716270557094885, 3.1885172050155943, 3.0503626529857994, 3.210258730850722, 3.018437768626942, 3.3776209858315713, 3.270611389272552, 3.0408010275025465, 3.0555715531539644, 3.6832170282534165, 3.2509464245372848, 3.153189548695993, 3.193223173096678, 3.293488377335044, 3.305779179128809, 3.3339450734769764, 3.994485770178788, 3.7723581178264913, 3.374030836253181, 3.1760286592785976, 3.5735230114594136, 3.3820130981392333, 3.0358013066877536, 3.1421057488882735, 3.158856742990017, 3.693937313777447, 3.5736130970280984, 3.121166346186514, 3.2491575438223177, 3.608539993034513, 3.7005336910748294, 3.4382314490744053, 3.331304237458672, 3.2561675925794837, 3.1125537869960183, 3.07691584651848, 3.4706311868305484, 3.5927846748660457, 3.3332871530178583, 3.4205141130704373, 3.0951558614450607, 3.916688586165864, 3.2834967656186875, 3.2655979302338136, 3.2802979973750044, 3.481383525119624, 3.286269141225598, 3.100911839944122, 3.2751042467364573, 3.37167803756419, 3.525704653444641, 3.580844856554747, 3.8484063180291646, 3.6147304981059545, 3.4656966553868838, 3.487095158225662, 3.171078373047419, 3.4264817353167873, 3.6354660244608374, 3.532769202536999, 3.437069876418914, 3.3308509709159546, 3.2846486875958942, 3.2991269496889313, 3.864237335012869, 3.183659729567674, 3.2553577588491294, 3.4242099619678408, 3.4771660677654714, 3.6041375221977012]\n",
      "14\n"
     ]
    }
   ],
   "source": [
    "#ANN Model 2\n",
    "m = len(close_lag2)\n",
    "lag = 2\n",
    "n = 4\n",
    "X = np.zeros((m,n*lag))\n",
    "y =kbank3['Close'].get_values()[lag:]\n",
    "for i in range(m):\n",
    "    X[i,0] = close_lag1[i+1]\n",
    "    X[i,1] = close_lag2[i]\n",
    "    X[i,2] = open_lag1[i+1]\n",
    "    X[i,3] = open_lag2[i]\n",
    "    X[i,4] = high_lag1[i+1]\n",
    "    X[i,5] = high_lag2[i]\n",
    "    X[i,6] = low_lag1[i+1]\n",
    "    X[i,7] = low_lag2[i]\n",
    "\n",
    "#Choose ANN test set to be the same as the test set of ARIMA\n",
    "size = int(len(kbank3)*0.984)\n",
    "X_train, X_test = X[0:size], X[size:len(X)]\n",
    "y_train, y_test = y[0:size], y[size:len(X)]\n",
    "date_test = date3[size+lag:]\n",
    "RMSE_list = list()\n",
    "node = list()\n",
    "node_rmse = list()\n",
    "for num_node in range(8,200,2):\n",
    "    mlp = MLPRegressor(hidden_layer_sizes=(num_node,), random_state=456, max_iter=10000, learning_rate='adaptive')\n",
    "    ann_model = mlp.fit(X_train, y_train)\n",
    "    y_pred_train = mlp.predict(X_train)\n",
    "    RMSE = (mean_squared_error(y_train, y_pred_train))**0.5\n",
    "    node_rmse.append(RMSE)\n",
    "    node.append(num_node)\n",
    "best_node2 = node[np.argmin(node_rmse)]\n",
    "print(node_rmse)\n",
    "print(best_node2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SDqnGbiegJWqvX1cz7rEVU5/162rIMWvH5MqqAl7c1aKOn2mOqrxVTCdi9bJECFEBXIvm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\nKMEKAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,3))\n",
    "plt.plot(node, node_rmse, marker='x')\n",
    "plt.ylabel('Training RMSE')\n",
    "plt.xlabel('Hidden layer neurons')\n",
    "plt.ylim(2.6, 4.8)\n",
    "plt.title('ANN Model 2')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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9H/mmwkZeoS3lQ2Vaak6lDU9mno8vA8z8/29iYyXImjPH9eOPHJEgzfqAUa4S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\nTh+DjVMjdw63wXNiffnaUCmlVOkZOVKWjM4+DHGJ3tSN7/8k5ec63RX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pvVKREErFDYBW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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test RMSE: 2.559\n"
     ]
    }
   ],
   "source": [
    "mlp = MLPRegressor(hidden_layer_sizes=(best_node2,), random_state=456,max_iter=10000, learning_rate='adaptive')\n",
    "ann_model = mlp.fit(X_train, y_train)\n",
    "y_pred = mlp.predict(X_test)\n",
    "RMSE = mean_squared_error(y_test, y_pred)**0.5\n",
    "pyplot.rcParams['figure.figsize'] = (12,5)\n",
    "pyplot.plot(date_test, y_test, color='Red', label='ACTUAL', marker='x')\n",
    "pyplot.plot(date_test, y_pred, color='Orange', label='PREDICTED', marker='x')\n",
    "pyplot.legend(loc='upper right')\n",
    "pyplot.show()\n",
    "print('Test RMSE: %.3f' % RMSE)\n",
    "ann2_pred = y_pred\n",
    "ann2_RMSE = RMSE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Zd/k7NTGF+o6QfEqbQY2MLPuSz/zMzGD5cmjZUkvIU45MrB8s/RurrKY8OiYv\n4D+2+hjx4fF4f+gNe17QMq82H4ZF0iq6D7nEibUnuK+vBf/tLfz3JIQQQojiSfAnhKh5mZlw6FDJ\nwchDD2lJRtasqdz7q9nFLvk8tPwQNm1taOmpFSC3qG+BRT0LbiTegHoOlR786fUw89UemFonkfXw\nCEzMM0n4N5GjF8u53y9HztLPqCi4ebNiwR+AnR2sWgVXrmh/N2lppb40KzuLBT9Y8NSzaZjc+k2U\neiWVNS+tYdTPozCP/gqifoLeS+C+EDCtz8AR35GwTseY+x25fNaW69crNnwhhBDibiPBnxCi5p04\noQUOJQUjvXpBixaVv/QzUQ/mDYyWUVBVldDZobmzfjlyl37WawM3zlTqcMLC4J25+8m6WZ9xg9ui\n+ATQzWE36/d1qVjHOeUeypvsxZhu3WDxYti1CyZOBLV0iViW7vqHm4cH8cFrbXLb/pnyD+1Htcfx\nnkw49BHc8xU4+oNpHej0OkqTPpAURjfrjtDsAKG70is+fiGEELeXw7O139v5Jeq19goKCQlBURSO\nHj0KQExMDIqi8O233+aeM2nSpNwSD08++SQtW7Yk7daHnxcvXsTR0RGAAwcO0Lt3bzp37ky3bt1Y\nvnx5hcdXGaos+FMUpbWiKHpFUY4oinJIUZRXb7WPu/U8W1EU9wLXdFMU5d9bxw8qilLOzS1CiNtK\naYMRExPw8YG//4YbNyrv/jmzfkb2v538+ySKiYLzEGeD9tykL/XaQEoxM39F1W2YXfQvKY+s5/nk\n2ChQTZg14j3+ef8ZnJucZPqyCxy9cKxML81AzsxfRIT2Xrq6lr+v/MaOhXffhQUL4LvvSnXJh1/F\n4fXABWxvlfY7tekUUeujGPxJL9j2IPT4HDq+mndBuxcwvbKb61YPEfNHDHYuJ26/pC/l+F6oLrV4\naEIIYcjOA3b45QWAiXrtuZ1HhbvW6XR4eXkRGBiY29akSRPmzp1LerrxDxxNTU1ZuHBhofa6devy\n66+/cujQIdatW8fkyZO5cuVKhcdYUVU585cJvKGqaiegFzBRURRXIBJ4CNiW/2RFUcyA34AXVFXt\nDPQHKqeIlBCidouI0PaQdTReYsGAr6+2ZHHdusq5d1oSxK8Fp0eNHg6dFUrfqX1RCgSGhjN/xQR/\nRdVt8Cj6l1RYS/gqyB7qn6Np/SYMOBVDxoVszG664D5hCRuiNpT5ZQJ55R4iIrS6iZaV+PnaRx/B\nyJFaFtCtW4s9dX98BKc3DeWzdxwALZPqn8/+ycj5w6kT+Qw07gvtXjC8yLIxtHmYPg8eIGJJBN3d\nb7I99Db7FVGO74XqUouHJoSMwEtoAAAgAElEQVQQhpp6g1eQFvBFzNAevYK09gpITk4mNDSUBQsW\nGAR/9vb2DBw4kMWLFxu9bvLkyXz11VdkZmYatLdv3x4XFxcAWrRoQZMmTbhw4UKFxlgZzKqqY1VV\nzwHnbv35uqIoR4CWqqpuAAr9Rwp4AIhQVfW/W9dUYTEvIUStEhGhBX516pR8br9+0LixtvTT17fi\n945ZCi1GgIVNoUNxu+K4euYqnf06FzrWyKkR8WHxYNULbsZDdiaYGPmR6u0NQUHajGX//rB5s7Y8\nMi4OliwxOqSpihdr7+mCybZz1J3yLcT9TMPHRhC+2ZV7PWfg/80oPnz0GBM9Jhr7WVq03GWfWeDp\nWfrrSsPEBH77DXr21GYCw8OhTRujp06dt4XmzX3p5WkOwOb3NuPQ1wGX1jpIuAB9g4xnIe0wGbvY\n+7l6qiWDJ7RixvzGqGr5E5ZWu5zvBV9feOQRLWFOUJDWXkuG5uenDW3ZslozNCHE3WhZKX+wR36s\nPW4aUPK5jxS/LWHVqlUMHTqU9u3bY2try759+7C9tTzl7bffZtiwYTz99NOFrnNwcMDLy4slS5Yw\natQoo33v2bOH9PR0nJ2djR6vTlUW/OWnKIoj0AMoLh94e0BVFGU9YA8EqqpaaMGJoijPAc+B9mYL\nIe4AERHg5VW6c83M4MEHtf+ZpqWVLmAsiqrCyZ/A/Rujh0NnhdL7jd6YmBVeJGHT1obDQYfB1ALq\n2MPNc1CvtfH79O4N16/n1Sj87LMSh3a8vh9WzZrB3LnwXVfoOpq2beHH+Ra8OfUv/s/Bi0PnD/HN\nsG8wNzUv3eut7wQpZ+B0OjxjPLlNhTRsqL1GT08YMwZCQ6FuXYNTLty4wJZgV7560xqA2H9jORR4\niEmbWsLxBTAkTHtPjfbfEcXOg0EvJHD0mAtZJjc4daoBteB3aenlRFPz5mnfF5UdhFeAt7dWTeWb\nb+C99yTwE0LUoBICtdylni4vwon5lTLzp9PpmDx5MgD+/v7odDomTpwIgJOTE56enixbtszotdOm\nTWP06NGMGDGi0LFz587x+OOPs3jxYkxMaj7dSpWPQFGU+sBKYLKqqsUVZjIDvIBHbz36KIoysOBJ\nqqr+qKqqu6qq7vZF1QMTQtw+Ll+GM2fKlnzE11cLpjZurNi9k8Ig6yY0ub/QoYtHL3Im9AxuT7kZ\nvdTGyYbLp0pZ6y8wELKzYfBgsLHRZvxOniz2K3pEANYWiVpwe/MwRGm/CMeNg+FDzXHdtYPTV88w\n5LchJKWUcqGEqSUojcCOykn2YkyHDqDTwX//wdNPF0oA8+kfQZglevLM4w3ITMtk9YTVPPh1O+oc\neRn6/Q5WzYrvv9MbdOy0joSQeGj5Lxu2JlfN66gqv/2mfc83aQL//gvOzvDXXzU9KmaHzmbchDPs\n3699i/7f/8GcZfuZHSqb/oQQtUxO4OcVBN0+ylsCWjAJTBkkJSWxefNmnnnmGRwdHfn8889Zvny5\nVtLplmnTpjFr1iyys7MLXd+uXTvc3NwICgoyaL927RojRozgf//7H7169Sr3+CpTlQZ/iqKYowV+\nS1VV/b2E0+OAraqqXlRVNQVYC9xTleMTQtQCBw9qj2UJRgYO1GaZKpr189QCcJ4ASuEfhaGfh+Ix\n0QOLesZnoRo6NOR6/HWyM7OLD/70enj1VuKSDz7Qxvzaa1rA6+xs/OvMGc5sO4ZtswxQ0qCpKTz+\ndu6GrDlzIOq4OaOv/8m9ze+l14JehMwIIVofbXDraH00obNDDceT1giaUHXBH8Dw4fDJJ9qyxnwZ\nQ9Kz0vnpRzPGP5aGpSVs+982WnSxxNnqDejxZek26zfpj1m9erRpd4R7msexVn8b7RDQ6+HFF7U/\nb9sGX38NFy/CqFFaqYy4uBobWszfPgQvbMWUWYd55hnw8E7gzedaY3Z6cI2NSQghjEoKM5zpy9kD\nmBRW7i6Dg4MJCAjg9OnTxMTEEBsbi5OTE3H5fi537NgRV1dX/iriA7t3332XL774Ivd5eno6Pj4+\nBAQEMG7cuHKPrbJVZbZPBVgAHFFVdU4pLlkPdFMUpe6t5C/3A4eranxCiFqiPGUHLCy0/zD/8YdW\n9688MpLhzApweqLQoevx1zkachTPSUUvyTO1MKVe03pcjb0KdR2KzvgZFgYBAdqfnZ3zNleFFfNL\nKiyMc85e2He0BkcgrQkErsi9xspKi6umTzchoPnnvNvvXabFT+NXn19zA8BofTS6sTq2WW0z7Pui\nCThaQusilqhWlrff1jaQvfOOlp0V+C38d9L3+jP9DXsS/ktg3097GPXUMpSWo6BtQOn6VRSUTq/T\nzyeMPmk3Cd9TyiWvtUFYGPToob337dtrHwqsXQtDh2oJjDp1gq++0upeVqNTp2DJXBeee/sUP2R6\nsdHsVTbvvsAXP8aSGdejWscihBAlcp1aeIlnU2+tvZx0Oh0+Pj4Gbb6+vnz66acGbe+++65BQJhf\n586dueeevHmroKAgtm3bxqJFi3Bzc8PNzY0DBw6Ue4yVRlXVKvlCW7qpAhHAgVtfwwEftFm+NCAR\nWJ/vmseAQ2gZQWeXdI97771XFULc5p59VlXt7FQ1O7ts14WEqCqo6oYN5bvvyYWqumWU0UP/TPlH\nXfvK2hK7+OW+X9RTm06p6rF5qrr7+aJPfPVVVa1Xr0yvsa37CXX8zF9V9dmWqvp2c6PnLFqkqh07\nqmpysqp+s+sb1ekJJ3VGvRnqn8//qX5i+4na/bnu6uZTmw0vermNqk5pVepxVEhysqp2766qDRuq\n2UePqo4BH6ke/c+pWRlZ6g/3/KAmLH5cVTcOVNWsjLL1m5mmZgU1V3/oMlE1t0hWb9yomuFXusxM\nVW3USFWffrrwsVOnVHX4cO17unt3Vd21q1qGdO2aqnbpoqpz56rqyaSTqvWn1irTTVXLBtfVM2eq\nZQhCCKEePny4podw2zD2XgHhailjtCqb+VNVdYeqqoqqqt1UVXW79bVWVdUQVVVbqapaR1XVpqqq\nDsl3zW+qqnZWVbWLqqrlD9+FELePiAht1q+sKRuHDNGSiZR36WfUz1ptvwJSr6Syf8F+er/eu8Qu\nSl3uISoK2rYt02u8ctGSNq0toHsD+DdR2+NYwBNPaPlCXn4ZJt47kdcsXoMU2PvDXkJ7hPLV21/h\n7ZTv01FVhYOJ0LqIhCqVrV49WLUKzMz4d8IQ4jePYcab9uz8cied3PfTpOEO8FpuPEtqcUwtMHF9\nmfvH7MW5wVbCw0tXWL7GhYfDlSva3s+CnJy0vX/BwXDhgpYM5qWXtPOrSHY2PPYY9OoFvk/G47XQ\nCxWVe1p2J6Ptn3y5qAI1JYUQQtRKNZ9yRghx98rO1vb8lWf/mZWVtrcsJASyssp27dUjcCMaWgwv\ndCj8+3BchrvQqE2jErtp5NQor9B7ccHfqVNa8FcGyZesade6HjS+Biezi6ydN28eHNh6lc87L6bO\nvjpk180mwzQDj3APHGMcDU8+fRpiUqGR8UK1VcLREVasYEadZlhfbYSnYxJRuhX0HbgC5b5VUMeu\nfP22ex7njofo32Ana/WXKnXIVWbDrfqMAwvlMtMoipbM6OhRbUnoDz9oJVCWLSuUOKcyvPeelnvm\no8+T8FrYl2vp11jtv5p5I+bRoMs2vlsaiz66/AkUhBBC1D4S/Akhas6pU5CSUv7kI76+kJioZU0s\ni6gF4PRkoRmnzNRMds/dTZ+pfUrVjY2Tza3gz0EL/oz9Bz07W3udZahHkHVwNn0dwujQ3BSUq3Cp\nDuxeCIcLZ148qz+G39WfCD9tR+LJi6x+dDXnm58n1CsU3VidYRKYiAg4D5hdqpJgoiix97Rje9Ir\nvHpjLpvGfo7/G0GY9JoPNhVIOlPHFto8wsOe29imr7rZsUq1YYO256+kTNXW1trev/BwcHCARx+F\nBx6AEycqbSjLlmlJWRfrkhkTPByvnV4sabMEbydverbsSePu4TjGtGH7p8VVaBJCiMqjVuPvpdtV\nZbxHEvwJIWpOeZK95DdihFYKoSxLP7PSIfpXcC5cqPW/X/+j+T3Nadq1aam6yl32ad4ATCwg3cgM\nVEICpKaWaebvkuLB8kkP0/7qVrBxg3FdwWG1QTbMrPQs1r++nr8n/c0jf/hh4WDJomxvZr/2DYnd\nEhnWYBjL+hzm/z46mNdxRASkAGZ1IO1CqcdTUZ9v/AUlagz33ZtF/7G/YWHeBxwqnvnMrNsbeAzc\nh8V/MdUZy5ZPcrL2IYWxJZ9F6dFDu+a777RkMV26wIcfat9PFRAWpk0sBq1M49lNY+jWpBsfvvAh\nUZOjiNZHoygKT1r48FDmStq2ebhC9xJCiNKwtLQkKSlJAsBiqKpKUlISlpaWFeqnWoq8CyGEURER\nYGICrq7lu97aWpsR+f13rf5BafbUnV0NDTuDdTuD5uysbHZ+vpPRC0aX+va5M3+Qt/Sz4DLGqCjt\nsQwzf6dTvXlr6Uw2NnoNGnWFQUfgsywY5gLA5VOXCX44GOsW1jy//3msbK2oN2knsW8OYv7bJtgO\nXMTVmenEZS0g+cOQvI4jIrRxWNvC9SiwbFLqMZVXSkYKCxaAz8BLWDffjZ15Bsqz66DzQejatWKd\nN3Dhinknnvb4hTNnBtKmTeWMuUps3aplpi1L8AdgaqqVh/Dxgddf18qFLF2qBYSDBpV5GPHxWlfz\nv8/i0xP+2FrZ8v3I7zE1MWVs0FiCxgbRvEdzTA+YEuJxjYRTrXiszHcRQoiyadWqFXFxcVy4UH0f\nTN6OLC0tadWqVYX6kOCvshyerX0qnz/1bKJeqzlSgdSzQtzRIiLAxUVL3FJevr7w55/aEjmPUtSJ\nKyLRy9GQo1jZWeHQz6HUt7ZuYc3NyzfJuJmBeU7wZ1ugPOmpU9pjGWb+YmLT2JLYWgsok3ZDs+fg\n8I+wcSOH6nqwduJa+r3Xj56v9ES5FfD++Io/o5xgzBjoceNtbJLW8NvPVxn5tH9exznJdazrQHIU\n2Jec1Kaift2/FDXsOZ4d/R4de53FwnsHfD9AG2hYGNjaVqj/Bvd/wLCkJ1iz+gJPvlzCcsqatGED\nWFqCl1f5rm/WTFur+dRTWiKYwYPhkUe0Dz2alm6m+uZN7W1//vls1pg9Q8rNFP4c/yemJqbaLdya\noSgK0ZuicR7iTPMhx1n1aQbZ2eaYyDohIUQVMjc3x8nJqaaHcVeQH+eVxc4DdvhpAZ+qao87/EpX\ntFiIu1VOMFIRo0aBmVnpln7eOAOXwqH1QwbNqqoSOiuUvm/1zQ2mSkMxUWjo0JArMfn2/RUUFaXN\nSDo6lrrf46evM6TrTpRrx6Ddi3DtdzJ72/LXJ/+x6Z1NPPr3o/R6tVehsY4apeXA2buxA6dbZ9Do\n/PG8gykp2p6xbt2gvrMW/FUxVVX59Jf9vNBhNb17BVFn1N/g0FGbqY2Lg4cfrnBNO+s2w7mWVYfU\nHfMqadRVZMMG6NdPCwArYvBgLUnSjBlaZtAOHeD777W9pcVQVXjmGWjbViXJ/Q2OJx3nd7/fsTDV\nMr9mpWexeMBiMlIy8JzkSdQ/Ufhf8CDD4jzh4RUbshBCiNpDgr/K0tQbvIJg+1hY1Rq2+2rPCxah\nFEJokpO1wKiiwZ+trVY4feXKkpOYnPoF2owHMyuD5pgtMaRdT6Pjgx3LfPu8pC9ttOCy0D1PaUW9\nLUpfXqHRrp9YNuwrbR+h+7dcdfiJ9Cdukm0Zw3Phz9DCvYXR6/R6CA2Fhg1V/ksczK4lh/MOHj6s\nBQg5wd/1k2V9qWW28dRGbMLu54NHpnCzwzxMbW8t7+3VC+bPh40b4a23KnYTReGvq/0Y1GFp7d0r\ncvas9v6XdclnUSwttb1/ERFw773astA+feC//4q8ZNYsOHYMXJ76DP3pzfw1/i/qWdQDtCBd96CO\ni4cvMn71eIZ9O4wB/xvA+VnnadcomCVBlytn3EIIIWqcBH+Vqak3uLwEN89CVipcO1atGfWEuK1E\nRmqPFQ3+QFv6efJkXp/GZGdB1EJwnlDoUOisUPpM6YNiUsZagxSo9ZdSxMxfGfb7ATRsFkfoH31J\nNe3MgSUHmT/oKCHzH6av41YszxjP+KjXg5+fNhlkbq5Q94m/SDpyifUhN7QT8ifXsa6emb/PVy/l\n9zHTSEgZi+19jxsefPppmDRJW7a4ZEmF7mP2wADs7C+SsP2fCvVTZTZu1B4rK/jL0aGD1vdvv0F0\ntBYIvvGG9sFKPn/+Cd9+C6PfX0jg8YWsf2w9NlY2ucd3fLaD8xHneTjkYdoO0pYn95vWjy6PdGFE\nQgrBITcrd9xCCCFqjAR/lSlRDye/hy7TwdQSjnyhzQCm3SY1qISoThXN9JnfmDHa0sriln4mbARL\ney17Zv7mAwmcP3iebo+Vbxy5tf7qFlHrrxw1/r44MIWL3Sw4+LcF/7zxD4qpQp9pL2H31+W8WnEF\nhIVBUBAMGKBtK2vXpCMZXUzYq7sVLEZEaHsr27atlmWfxy8eY1LCYW5eaUjbid8bP2nOHOjfH559\nloqsLezXoRfBW0aQsmtWufuoUhs2aOUdKuN7vSBF0UpBHD2qreucMwc6dYJVq0BViYzU4uxnZ63j\np5Pvs+HxDTSr3yz38kNBhwifH86zYc/iMtzFoOsxi8bQorMdXWP3EnO6+GWlQgghbg8S/FWWnD1+\nXkHQ7SPotxIyroJiAn+7wfltNT1CIWqXiAgtW2dlpGhs2lTbT1Vc8FdEopfQ2aH0nNwTszrly39l\n09aGy6cuG9/zd/06nD9f5pm/ixfMae+cwMWLjtxMuonnJE+c/Dy0/9QXEfxNnaqtfgUt+MuM6cnZ\nnvtpl3Vr319EhJZd08QErJpDxnXtq4r89/cLuDeK46bnMsyszI2fZG6uRazNmmkpKBMTy3UvV3tX\nZsf2oIXNLrKvGVl6W5NUVZudGzSIKs2aYmOj7f3buVNbCu3jw8WhjzF6eAaPTdnH9wlPsv6x9Tg2\ncsy9JPbfWNZOWsv4P8dj3cK6UJcmpiY8tfJJuiqRzHtnS9WNXQghRLWR4K+yJIUZ7vHL2QNo5wke\n38OOhyHifciuWHIDIe4YOcleypBgpVi+vtqyz+PHCx9LvaDN/LUZb9B8OfoyUf9E4f68e6luMTt0\nNvpovUFblEUUxyKPaWUTMpMhMyXvYPStAutlnPm7esEKF+UM0Qca0fvN3oTPD9eKtQ8eDNu2lVjn\nzcsLYg62ZFOTTZzaeIrM1AzD5DqKCdR3guRTZRpXaSWf+YNBKWF8u/wjPPxK2Edpb6/NUiUlaX+H\n6ellvp+ZiRmmbqmE7enJ1Y2flHPUVeTgQS2orewln0Xp3Rv27iVj1hzGbXwez+RvWHrzPv4cF4Kr\nfV5JlcunLhP0UBBjFo2hWfdmRXZXz74e159si+mK3SSdSKqOVyCEEKIKSfBXWVynFk7u0tRba285\nHIbth4v/wqb+xpeGCXE3UdXKyfSZn4+P9mhs9i96CbR6ECwaGjT/++W/3PPsPdRpUKdUt/Bo4YFf\nsF9uAKiP1jNx/0RMEky0gKpua8OkL+Wo8aeq4JQSQ4PsK9xIbc0Dnz/A2KCxBPsFE920lxb4hYYW\n20ePHnDqpBl2tm2p274uMb/v04Kr/O93VS39TI6GrY+hm/cYfaYHlO4aNzf45Rftdb3ySrlu26+P\nOfM3PkfdazrISC75guqSM1NbXcEfgJkZr0S/RmafDmx64T2WL7qBx8jncr9vUq+ksmzEMvq916/Q\nUk9jpr4/gE14sWxMIOk3yh6cCyGEqD0k+KsuVs3Aex20GgPrPODMipoekRA1JzYWrl6t3OCvdWvw\n9NTKCOSnqreWfBomerlx4QYHlx6k5ys9S30LbydvgsYG4Rfsxwz9DPyC/VgcsBhTTLl5+WZeofcc\n5ajxd/ky3Oe4lSuZrWl+T2sAnLydGBs0lvisplpZiyKWfuawsAB3d3BM9ifVM5Xjgfu1AwWDv+uV\nHPxl3iBbP5qNK3uxOOFVRviUPsMpDz+sZf784Qftq4we8GjL3xe8iY5sQ+aRn8p8fZXZsAE6doQK\nFuUti+++g382p3FsSF8WPLEc77l/aP/evLzImvAsQQ8uxXmIM54TPUvVX7sW9sR0sCbeSmHNC2tq\nb1ZVIYQQJZLgr5KEzg7VlmXlE62PJnR2vk/oFRPo9Cb0XwMH3oF1nhC/1rCjRL1WMF6IO1llJnvJ\nz9dXSxxyOl8AdvFfULPA3rC49p5v9+A6zhXr5oX3OhVHURQyszP5eNvHvOj+IgPaDsgr91DXwTDj\nZ1QUNGpUpkLm586BVecLXEtzoUmXJrntTt5O9J0+QFvWV0LwB9rST/M4bw65HOL49kRU0Pb85ajs\nmT9VhV1PcexwXXQ7H2Tc1E5l3+L2yScwbJiWBXTHjjJd2qtVT246HCTVpBnZBz/VsrvmqKmfq6mp\n2jLdapz127wZZnyQRYrvIL4c9T6jO4yG0aPh8GHUN6ew5pcLmO/azgNuiWXKRv3gaFOWWLQi4b8E\nwr+Xwn9CCHG7kuCvkrTwaKEty7oVAEbrown2C6aFh5F6XHYe2jJQCxvYOhpO/qy1S2F4cbfICf66\ndKncfn19tcf8s385iV7y7S1MT04nfH44fd7sU+quVVVl3p55+Cz34VraNQK6BTA/fD76aL1huYf8\nyz7Lkenz3Dno4RjGxRgHmnRtUviEwYNh/364eLHYfry8IPGIC1vULZhkpnO+aTctKUiOyi73cHgm\naQnHWfZ5fzbefJynnipHH6amsGwZODlpf5exsaW+tFWDVli02cf2RB/M1Etw6Nbev5r8ubpzJ9y8\nWW3BX1QUPOyfRZ2Hn2Tag3483j1feY369QltPJpzHfrj6xaFyVNPaqlhjx4tVd9vPtmRcwd74fGT\nJ1ve38LZPWer5kUIIYSoUhL8VZKcZVkrxq3g514/s2LcCsYGjcXJ28n4BebWMGA9dHoL9jwH+mF5\n2UKlMLy400VEaP/Bb9Cgcvt1dobu3fP2/WVcg9gQcDLce7ZvwT7a3N8Gu/Z2peo2PSud5/58ji92\nfoGCwn1t7mNIuyG5S0CTbZPzFXovMPNXxkyfcfGZ9Gh1iNP7G9O0a9PCJwwerM3YbNpUbD+9e8Ph\n/6xITk2jRb1ojjUssMSvMpd9nl2Demwev/xvFGsc6zPS1xq70r21hTVqBH/8oQVNPj7aYykoikK3\ne2+g3+BE6Jr7USM/hogZsMOPc/XmErq4DEtQK8uGDdoy3f79q/xW167BiJFZ1Bkwm+fHuvByz5cN\njh9acYiw/wtj/Mansfh3K/z4o1YUvls3mD69xPe5Y3tzGtlmMy88jFE/jmLFuBWkXEwp9hohhBC1\njwR/lWX2bJyIocfTPTi7+ywZKRnELd1Gxicl1J1y+wRcJsK5deD4mAR+4u5Q2cle8vP11WZczp2D\n08uh2QCwyguisjKy2DVnF33f6luq7hKTExmweAAXb17k6R5Ps9JvJfc0u4ez187m7gE83+D8rZm/\nfOUesrIgJqbMM39nziTQukESUbvr0LhT48InuLtDw4YlLv1s2BDatlVwzXiE63X3cPx6gVUI9Rzh\n5lnIzijT+Aq5ehR2PUXYwSlE1Usj5uzLTJpYwV8tnTrBQw/B3r3w3HN5yxP1ephd9PLNQV4NOXjB\niW0h/UhPt4LIj7lsPp7f/GNoEVUD5XY2bIBevbSSJlUoKwse9s/kStM/8X0iken3TTc4HrcrjrUv\naSUdGrRsoJWcePZZbdZv/Hj43/+0PYkF39sC7/foUSasXJWOy2gXuozvwsrxK8nOkvp/QghxO5Hg\nr7J4eBA95jUO/BjGfa/fi5kZRC0O5f++UflvyX+o2UXsrUjUw5lAaNAJohZoz4W4k6WmwrFjVRf8\nPfSQFiyEhGhLPtsaJnqJDIzExtmGlh4tS+wqPD4cj588GNR2ECv9VjL9/ul4O3nTskFL4q7FAVoS\nGN+BvoVn/mJjITOzzDN/yrV9RF1pSoPWtpgbq49nZqYt19uwocQ9W15e0CCqHxHtYki6ZkZyQr4s\nmKYWWr2/imQfTr8K28dwpdFUtsxLZ3HrOBxb1sejMlZYPvGEVpT+t9/gyy9h/Xrw89NmdlNTjX7d\n79SZeHuFPh3/JTstg8wsK+pe+JHHXBbi5N+ryFvNnq3FOfmVEGeWLCkJ9u2rliWfb72dxe7owzww\n6U++GjoHJd8S5ysxV1j+0HIe/OVBmrkVKOnQpAksXqxtFKxXT0u44+0N8fHaG+DnR/6/zAn+Tcg8\nOpRN0ZsY8L8BZGdls+WDLVX++oQQQlQeCf4qSTSOBCt+jE37De85o/AjiAv1HOnznjdh88L40f3H\nQglhAjc9T/pWH22pZ8fXwM6T9K0+BG56voZehRDV4PBhyM6uuuDP1RU6dAD9r3AzHpoPyT2kqio7\nZ+8s1azfsoPLGLZ0GF8P/ZoP+n+AiZL347JVg1acvZ635yk34YtVK0g9p9XzLEemTwCb7P2cudjc\n+JLPHIMHw5kzcOJEsX15ecH1iPbsbJOFc78WHF9ToAZiRZZ+qtmw81Gy7QcQ+Hp9Up9Npc7Jd3j1\nZbPy9VeQtzesXq2lLp0yBYYO1fY5Dh0KVlZGv9y7D6O3+4/0fGE7f80dyYLpAZCdTdPXEsC16Ft5\neGhxTk4AaCTuKbtNm7TgvIqDv8WLs/n+14v0ev0LFj70g8H3aU5JB693vGg/sn3RnXh7a99LTz0F\nW7aAiwuMGwdBQdqxW3r3BpPrrZm34U9MzExo3bc1e7/fy/G/8r6vCiU6E0IIUatI8FdJ4sPiGRsy\nHqfHtP9UOg1sy9iQ8WTezGTCvxPwetuL1RNWoxul48KRCwB41AG/cyr6FKDZYNKT9vLwORWP0pUc\nE+L2VFWZPnMoirb0s+4eaPYwmJjmHjqx9gSKqYLzA0XPxmVlZ/HWhreYrp/O5oDNPNTpoULntLTO\nm/kDaOTYiCsxV1BNzNJiODoAACAASURBVKFOEy3oLEeNP4DWlpFcTGiOfRf7ok/KCShKWPrp5QVH\njjlw0B4cx3Xh+J9Ggr/yJn2JmAGZ19nxjy/1W9bn26y13IjphJ9f+bozauBAeO017c8DBsDMmcV+\nNfhgJv077eaLlR8Qc9iJZqfPseLb8aSlZHH46884sPgA6cmF69R5e8Onn8Lw4drt/PwKxT1lt2GD\ntva2UqZBjdu1S+WFV27Q+dVp/P7Uj5iZ5AXeWRlZrBi3AqeBTvR8uRTlTOrUgYULwd8fUlK077EC\nb4CpKYwYbsI/f1twJfUKTgOcyM7M5vfHfufyqcvFJzoTQghRK1TSR7Si79S+2sfFq1Zpn0L//TdO\nr7yC01Ttl2dnv850eLADe/5vD4vuW0SnsZ2oZ+/PEx2H4hfsx2NdH2Pizeu8bD+LhJ29cPYq4YZC\n3K4iIrR/I2UMisrEZySEfwpHmkC+1X6hs0LpO7WvwbK4/K6kXmH8yvGkZ6Wz55k92NU1nrWkZYOW\nBjN/FvUtsLC2IDkhGeucfX+nTmlLNMtY362D3UHW7RpA02HFzPw5O4OjoxZgTJxY5GmtW0NdNYXm\nZ7tx7eEbxLwWQ2ZqJmaWt370lzfj55lgiF7CRae/2f3NGuyX2lP369d5+GkzrKzK3l2R9HpYsEBL\nSDJ/Prz3XokR2bFXkmm5CR43DcGp0WWiT7dig+5BhgRsYt3f21g/eT0dRneg+xPdcezvyK7dCrPH\nr+bU1Y40bNier7/WbnflXAifvHSYd797t+zjVlXt78bbW/seqAJxcTB45DVaP/4xG9/4Gkszy3y3\nV1nz0hpM65gy5KshxfRSgF4PGzdqUd4ff2jPC7zfY33qsPXTx1geuZznvZ/H73c/dKN0LOy3kOz0\n7OITnQkhhKhxMvNXWXLWCQUFwahR2v6J/OuIALM6ZvR5ow8Tj07EzNKMXXN3EflMJM4nnPl699ck\npHbDdPUm+dRU3NkiIrQSD6amJZ9bXo1jINESgrfmNsX+G8u12Gt09uts9JKjF4/S8+eetLdtz7pH\n1xUZ+AG0sG5BYnIiWflqyeUu/czZ9xcVpQVoZfnPf+YNHGzOcP2wvfEyDzkURZuZ0eu1fYXF6Eso\nTf+fvfOOr+l+4/j7ZO9FhiRChsTeMWME1ygxilR1apWiQ1vVaqv9oUPpT6n+qi1dOhBU7RFEghCJ\nFXtkiSQksofs8/vjK4uMeyMR9Lxfr7xu77nfc+73nF7nnOc8z/P53BhBaGYodh3tiNpfrvy8Npm/\n1HAInUZx7w38MzWY/vP7883llaQdHcWrr2q2qWopf06dP1+83nVOrYwOiUVs1HoC42fHQHIyzj/O\noV3YReJihjDq2e947cwEbDvasXHKHj4wWsrioftw66zH0NzfsUy/SosW8PfSKxx9+TitvaqpFa2O\nq1eF12Q9lXzm5ECPQQkY9f6ZI4vmYKpfUVAmeHEw8aHxjF0zFi1tNS/z5Y/3gAFga1vp8R48GDKu\ntGPV0bWAULru8VYPsuKzaOPbRgn8FBQUFB5ylOCvrggNLasTUqkgJUWoBYSG3jPU0MqQomlF/NHT\nkFiLTIasGsLkTZO58qszzQfEsz5UuXgqPKbIcpm8fH0S8RNoDxTZl/R0AIIXBdPznZ5o6dx72tt+\neTt9f+nLe73fY9mwZehqVyK0Ug49bT0sDS25mX2zdFkFr7+ca7Xy+Mu7cYoL11sip2pj6WJZ/WCV\nSuj7HztW9ZjERLxy91KUMpjg68G4+7hzaeulss817fnLS4ag0dBlGSF/iAxi3rA8rh/pTe+eepru\nbvWUP6eCePXzq/ScWp6BHXNIcE3laOfpYkF2Ns7/fI2LQXtkh9HkHXqKORvbsUpnKi4fTWTKy0VY\nHDhLdr41YwpX0yxqN8MLVrNd9wUsmoyp3dxLynHrIfiTZeg35ippJsc4vtr3nocU5zee59jyY0zc\nNhF9Uw16CO6+hkVHw3ff3XO8zc2hZw8tIsKcuZB0gaiAKI5/fxzbjrac+u3UPb3tCgoKCgoPF0rw\nV1fMnl12k1JywU9PF8vvUCwX88/Ff+i6sitz9s2hy2BzVmXMRs/LCcfTjgQVN6WRzhUMHIMbYAcU\nFB4AN28K0Y76DP6yIiHtNHjPgoIC2L6dWxdvERscS6eXOlUYKssyCw8tZMq2KWyesJmXOr2k9tc4\nmDoQl1FO9MWlksyfhqWtWddOcCnOBaMWRjVnbAYMEBnA6vr+zpzBi0PEJHQiODaYFiNacHnrZeQS\nlVBTV3G8alANBYSIzSFfcBpLavEwDn52EJ+VPnwT+g0GJ9/htRmVl9LWmvLn1BK8vSucUytjt7SE\nXONYAmPtwM4O/P3ZW+TNxFOz6fDCFxwKb8maGb6cO1PAoBk57Bq8g8+7ZXJzQjroF+JVeJRcLyuW\nb25RU5xZNf7+0KwZuLnVcgNV8/Sb4Zy+kEnI5nY4mldUrI07Fsf2V7czYfMEzBw19NAcQZkoTsk1\nLPeEWH4XI320cLwxjegN0wn5YCHj/MbR98O+WLeyJuSDhaRsfV/j/VJQUFBQeDAowV990KyZUEu7\nc1NWLBez4fwGOv3QifmB8/moz0ecevUUbbsnsfDNk2QeSqGoUWOaHLPhVqEL9jarGngHFBTqifoW\newGI+EV4ZvbsC/b2sHEjhxcfxnOGJ7pGZRm9nIIcnt74NBsvbCRkcgg9m/ascdPlLQFKFD9LLAEs\nnC1IjUwFIydIuwppaRpn/oqSjhMbZ4NVa6uaBzdqBF26VB/8hYfThnMkZ5qgn9uUVOtUdI10uXHy\nhvhc1wx0jCD3Rs3fd/JdkHSQ23/B1le24vW+F9k22ewOSkH7tjVDNGgtq0+6d9OGi6PYvK2AfO8h\nzP6nF0OHyoSHw8KFEj4LVmJgkULghhZ4ruyKgY4Bl/xeYeLwtkgFEjdNJAwCM0lL2FRTnFk5hYXC\nOkGlEsF5HTL3u+OsX92YHVsMaONQ8beVFpPGujHrGPnzSJp0bqL5xht5iuD+ZoD499nTHIq+Fsvv\nwscH4k904kBoDuPfWI9z62hcBrlgVBzCuDfWEx9Zs42KgoKCgkLDoAi+1BGLDi/C094Tb+ey7N/e\ngJ/4ef0ETiedwVjXmM8GfMbwFsNLxSbG549nzXcbONRkHOnx2fQ130HUfjtUNmo8hVdQeBQpCf7a\ntauf7RcXQuQv4L1LGFmPGUPGT35cNOzG61deLx12Lf0ao9eOpo1NG4JeDMJQVz2VkhJLAD8/kfnb\nv19mzSfivWWRJWf/OgvGXSDjjs2Dhpk//Zzj3Lg2gg5Pqdn3q1KJyDMjA8wqyfSEh6Nta02vzlpk\nZj5DcGxZ6WdpgFBS+mlYTcAQuRritsLQUE78fJq8zDx6zOzBnIA5OFz8nEnTteq1hVMTQvUW0f21\nYoIXv4d19I/czoUpU4/Q9Jkgsqxc6PnLErJybrLXAeIHTkKvy0I2/bWJkCkhdPiyA6c+OMcBG1+k\nKX8BMGaihqWfoaHi/0cdl3z+uus4n81uxso1CQzqWPHfT266sHToNbsXHj4etfsCW29hO3TIF1xf\nhim3YbMBDC6A6LWQnyLKfvOTcclL5u/XkrGwjyJfR8Jw30AMtI0Y95rMDaPvafvmc3WwxwoKCgoK\n9YGS+asjPO098d3gS0BUAIXFhXzQ9gZDx+dxOjqE/w7+LyGTQxjhPqI08AsOhgWvxrNeHsfpDGcM\n27lhnl7EditndNMPNOzOKCjUF+Hh4OAgslb1QcJuMHIEi7bi/dixHM3tSIdexhg1MgLgYMxBuq/q\nzrPtn2X16NVqB34A/fqJWGvUKLjg9wyrPlCVtklV6PnLTxAraBL8FeZgVBxB1jVDXDqpmTFUqaCo\nSHizVUZ4OLRvj5cX6MV5ExwbjIePR0XLh5pEX24dg5PvQN/NZCRps/+D/Yz8aSS3i2+z8tAm4kK7\nMGmS2ntZ73jae3LG8nPMWx8jI1ePJ60WsrqJN8tClrL82HLe6/0ep1+7it3wMPTit8Kl5Zw/dJ7u\nP3bn6ZlPo2MNyanGtPyyN+cPndd8Av7+IuM3cGCd7dP+s2d4eWJj3luQwMs+FQO/EkuH5v2b0/0N\nNSwdqqNRN/H7Pf8l6GpBtwwInQvX/4a0M1CcJzLbdoOI1J7Or+cW8Z7sCS3fhqJsdHSLiTycfX9z\nUFBQUFCoV5TMXx3h7eyN3zg/xq0fhyzLZOZn8uVeibe9JyK5DS0dFxQkhOsiIuDJJ3tzfTVs2QS2\ntgYs6WDP4Z8H8HmfTZAdC8ZNG3CPFBTqgTvBSL0RsQpcJ5e+zW3nyUmpC69qC1GUH8J+4OMDH7N6\n9GqGuNVcp1iip3LkiHhgc/QoWFlBfj4E/u5Fu/H/4O09GgBzJ3OyErIowgjtIi0wAZw1EG9KC+fG\nbQ8aZcnYd1Qz89erFxgZiYBj5MiKnxUWwrlz8Npr9O4Naza4czM2mKavNCUtKo3M+ExM7U2rt3u4\nfQMOjYVuK5HNW7P9+bV4zvDEtp0t34d9T5OrH+A5WpvGjdXfzfrG29mbN2w28Vm0Cw4jfmLd/ml0\nOBPKj8vm0s2hW9lAg8YiQ+zvxYfvfQ3NRIav6VBHWm8JAuNJfPidj+YT8PeHzp3r7AHH2YTLDBuZ\nzaixunzxVsXAT5Zldry2Ay0dLYYuHVqlhYla3DoKB8dB3i1o9S5c/Qn+yIWXn4JRb98zvEV/+Gpa\nEc5Or1GsFYZW27lI57/Gs8UsyBgIZi1qPxcFBQUFhXpDyfzVId7O3kzvOp3U3FTmeM3hHbkHkv9e\nZFm0gPTvDy+9BM88A5cvCyXtkqxB69aQ39ydzraHOZHsCTf2NPTuKCjULQUFcP58/QV/t2/AzQPQ\n7KnSRaErT+LuUoRh4CambZnCspBlHJp0qNLAT5aFQv/q1TBtGnToIFoG582DrCyYOhUuXoRVq8RY\nr6E3uLirf2kPoLauNiZ2JmTEZkCOIbhbgqnpPd9TJSnHuXyjJWjJGNsaq7eOvj707Vt539+VK5CX\nB+3b4+kJkZeMiU5KJLMoE7ehblzedif7V5XiZ1EeHBwLLi9D09GcXXuWtKg0+nzQh2K5mKVHlpN6\n8KnqbAYbhIAA+OH9Adi8+DpxXSczZtQHxG38mewzHe4dbOIM/XfA0ZfgwhIABj47kKY5kUQd2wPn\nF2n25ZmZ4glBHZV8XkuLpeeTYbRqas+GH1re8/mR/x4h7mgc49aNq1TFVi2K8uH0XAh4AgoywXsn\ndFoEfTfATG0IX1vpaj16gJtxEH9YF/FP46eh/Xyk/pvR1imgaFcvyFJUPxUUFBQeRpTgr45YtAiW\n/HWS749/z9y+c1kRtoL/uvkw+dgr9OlZyPTpMHmyuHmcNAl0de8Vs3viLQ8c4ws5a5MOCUrwp/CY\ncemSCADrK/iLWg1OY0FXBFyFuYUc++YYLd9ozaAns4iLPM3RyUdp0UhkJHJyIDAQFi4UZZw2NkJA\nc/t2aNkSVq4Uji0HD8KXX8Lo0SJ29fUV47t11cL2xTcqWKGVln6maEEra83mn3KCC1ecybSWNcvg\nqFTi2MbGVlxeTlzHyAjat5dwuz2Ro9eP4u7jXlb6WVnZpyxD2OtgYAPtPiY7KZvdb+1m5E8j0dbT\nxj/Cn7xL/XGwNcDzXj2QBiU0FOYsO0Vx833M7TuXg238mGPrS+iGmMpXsOwA7efDyVlwdSWuvVzp\n1CKGNzo8TZGFhjt34IDIuNZB8JeUnYTnK79ifHMwB7c5oXXX1frCpgscXXqUp7c9rZmlQ3nSz8Oe\nnpB6AtxnQL9/RO8fiNeYkZBxUjxEuAttbZgwOJTf4lbw2WWhUC3ZDSD03FzSs1vDvoGigkVBQUFB\n4aFCCf7qCB3Hk8ya0pQ5DnuY138+o5KOMOvPWWzTHshrPY9z7hw8+2z1fs/jpliRhzGrtxsi39gL\n5QykFRQeeepT6VOW7yn5PPXbKYzaGDGs+D/0jddnWXAftv9txhtvQNeuYG0N770n3CeefRZOnoRr\n12DdOnjzTejWDfT0Kn5NeSu05HgLUuw2sm6dXGoJUGr0HpcHzTXI+gGkHCfirAOFTsWarVcSaNyd\n/QsPF3forVoB4OUF5jeHExwbjNtQN6IDoynIKai87PPq93DrMPRcDZIWu97cRftn2+PQTag4LgtZ\nhunp95lR1/YOdYDn+AC+iBuM3zg/5nvPx+/JNXzx/AE8G8+teqVWb0PbuXDsVbROvsXE6X+z4Kf3\nOH7du+p1KsPfHwwNoXfv+9qHjLwMen00l+x9Mwne2/ieBHJcaBzbpmxjwuYJmDc11/wL5GK4+DXs\n7QctXoV+26DDgrLAr4Tuk2BToah5roRtOh78vn0ESdlJhN8U/77jnN353w+DRDC5fyDcTtB8fgoK\nCgoK9YYS/NURhc38+erHWD57vRMODvDrEjeenx7DzL6tmHD7F7WU8HR0oFFPd8wCxpGtbSqexioo\nPC6Eh4uUt0ct1QirI+kgaOlCIyF4cTunmO2f7GNZTjx2Ow7xc1ACPTe8y/p1xTRtCsuWCbvBo0fh\n669h/HhwdKz5a0qy9S4uEButh5akRede6aWWABbOFqReTYboLLDToKW6KBcyL5N4yQJ9Dw1Py23b\nlvrZVSA8XKQw9UVWyMsLsq52IDg2GAMLA+y72hO5NxIM7KAwBwoyxHqJQXDmP9B3M+iacmnrJeJD\n4/GeLwKDS7cucezsLRIuOvLUUzx0hMaH4jfOr1R52bvVE/hdbk9oxMHqV2w/D+wGwuVvSNEfQ9qV\nQnbsLNTsy/39RRmufi0zccDtgtsM+vpV4n5dxNaNJve4haTFpLFu9Dp8Vvlg30XN3tDyZF+D/YPg\n2gYYfBTcXqnakqJ/f3Fh2lN5JcqEUZYcDzGgl80Qfjn5CwFRAbyV/BbSWYmC5m+A8wviu3KTNJ+n\ngoKCgkK9oAR/dcTs3rN5e2Inpk2DhASYMwd+W+7G+yaDq/fhuouR73rgFCcTfLuxUvqp8HgRHi6a\nW3V1ax6rITlnVnE6azKz3pXo2Uumu8VZrqcY0dHjdV5/wZHDX4eSINvx92v7efddkZgxVF/k8x5c\nXYVok6OZYwWjdwtnC9LOxUGSDBYaBA6p4cim7phkZ9G4i4aBgyTBoEGwdy8Ul8sa3iWu06sXXD3T\nmJDYMAqLC0stH5AkMHERfX/Z1+DQU9BjNZi6kZuey47pO/BZ6VPqkfhNyDe0iPwvL74o3dcxrC9m\n955dZrlzB29PX2ZvSBBp3qq4GQCpJ8GiIw5afvRtdpFNm26p/8XXr4u6/vso+SwoKmDM6he59O1i\nvvrcBG/vikFZbnoua0asoeesnrQcdW8PYLXIsrDs2NUV7AbDoCCR9a0OU1PR3FfFNWxE+7509sxn\n2648fjzxI74bfPnjuT9w6OxA9IFoaPshOI6B/SrIS9FsvgoKCgoK9YIS/NUhAQHwww8wdy58//2d\nPiCVCiIjxZ8atHvCESvdTH7b3RI5YXf9TlhB4UGihtJneRP1EkpM1EsoKICwMFi+HCZOhPYt0yiI\n2sKXfs9hZJaL3P8DBtn/zuTV3Vj7iw3PPAPOz/dBMjKCjRvrZFeaNRMPeZoYNuN6xvXS5ZbOlqRd\nTYZbgH6m+htMPUGOQWesuYVd+1pIZ6pUIpV5+rR4n5YmaljLHW9ra2hip0XjrP6cTTyLh48HFtk/\nIifsF0FA+lkIGgMOIyFNbMf/XX9aDG9B8/7NxWZz0/jz5N9c3teLV1/VfJoNRklAtm9f5Z/fDBD+\ndl5+MCQEycyD595aQ1d5K6mpan5HSYBUy+CvWC7m+b8ncWL5u0wcacf0aRUvz8WFxWx4agNOfZzo\nMbOHZhvPvQWHxsGFxTBgD7R5H7TUNGZUqeDECUhOrvTj532tcEuaSU5BDkNdh+Lt7I3bMDeu7rwq\nBrRfAHaDIGAI5KdrNm8FBQUFhTpHCf7qiICAMvPn+fPFq68vBJiNEgPUzP5paWvRbEAL4rb6Upwc\nVlaKpaDwKJOcDHFxNQZ/JSbqJQFgQIAoyczPF9n0fv3A0lKIJp05A4MHg/+qNZi1HMJ/fkxhfaNO\n9DC5jYthM7r5lpP1NzSEJ56ATZuEL959oqsr7AotcjsQl1kx85caly2CPzTIGqUcJyG5JdnaBjSx\nqcZsvSoGDRKvJeeZM2fE613H28sL7FLGERwbjJWbFSmprhQHjQdJF46/CXoWwtOtkSdR+6O4uusq\nqkVlwcxPJ36i1c1P6N5NW1P/+oalSxfxw6nqPJwcKgI/W2/Q1oOB+yjUMmXSgB/Yu1dW7zv8/YWE\nc7t2NY+9C1mWeWPnGxz6eTitLTvxzTLtez7f8foOJEli2DfDNBMEitsOO9uL7O7QULDsqNnkVCqR\nNawicG7U4Qjhh5oyoNkgNlzYQEBUAC2GteDKjitigCRBp8WiJPvAE1CQpdn3KygoKCjUKUrwV0eU\nF4IA8ernB6E3mopmIg1KP3u96I5rfhLnspsL6XoFhUedKoKRuyn5dzN+PHTqJO47b98Wipv6+vDh\nhyKGPHMGfvwRXnwRbDNXEWbYAa+fvXirx1t0DexK73d7I2nddYM8dqwo+ztypE52ydUV9NJbVSj7\nNG1iSl5OMQV5xlCcA4VqGl6nHOfqpabcMjTE1sRW88nY20ObNmXnmSrEdby8oDimJ8GxQsDDuP0I\nwqM+hIRdoGUAaeHg5Ue+SW+2vrKV4SuGo28mylALiwtZfmw5GQeffejsHWpEW1tIufr7i0DmblrP\nrih2YmBNQZetdGx5gbD9u2refnGxKLsdNKjq/rlq+DjgY7atb4TuZV82btC+pzL66NdHiT0cq5ml\nQ0EWhEyBsNeg91oRgGkbaDw3PD3B3LzSa9jU9yOY/teXONkbMcP+N/S19Rm9cBmfrMmiIKeA5Ct3\nsoWSBF2/AfPWEOgjekwVFBQUFBoEJfirI+62bQDxfvZ7kriD3b9f7YyD21A3nApvsPFQb6X0U+Hx\nQAOlT29vGDoUTp0S9igZGbB7N/znPyLTZ15O3FBOPk56RhSjDyzn76f+xkfLh8SzibR7ppLsy/Dh\nIoKso9JPV1eQU10qlH1KWhLmhnmkObYDo6aih64mivIg4yKXj1uSZCpja1yL4A/EeebgQREth4eL\nTJeDQ4UhXl5w7YxTafDn4ePBsXXG4DETchOgxTSw9SZgbgCOPR1xH+5euu6WS1swuzWQnHQThg6t\n3RQbFJVKPDm4eFGt4Wate7Np4yjebvciclYNlgXh4ZCUVKuSzyVHlrB6+xWyt33Ctq3a93jDX/zn\nIkf+e4SJ2yaWBuI1knQYdnYAuRCeOA02fTWeVyk6OuIfZWWBs0Mo0gY/enYx5nigPbZJEyjy+wsc\nw3AbWq70E0DSAs/vwcgRdnSE+LuubTcDNPdVVFBQUFDQGCX4exCoVJCaCsePqzVc30yfZr2bcvZw\nX7Kjt9fz5BQUHgDh4aLpzLbmwCYgALZsEUKVGzdCUFDl424X3Gbv3qdZk2PA0cnH8HLyInhRMN1n\ndkdHvxKlTVNTET3+/Xfl2R8NcXWF3ESHCmWfABakkWrlCsbNILsKb7nypJ8FUzfSLqeTYJaBjbFN\n7SakUgk/tkOHyvor78pCubpCcaEOKTeMSchMwLGnI+YGJyi+tEJYHVxZQVKAH2fXnGXo0ooR3tKj\nS7E6+xHTpqGWevFDR1WWGNVQ5DGYbXuHkOs/qvosbsk2S8pvq2DR4UUERJU1tf588me+2P4HKb/9\nwK+/atG6dcXx8WHxbH1lq7B0cFLD0qEoD07NgYPjoPMS6PEz6JrVvF5NqFQQEwNXr1ZY/MPrE9i0\nQY9du4QvZtzPS/CetYIfXp9Qse+vBC1t6PELGNlD0EiIvyNqVtJz2eghM41UUFBQeAxRgr8HwcCB\n4lWDm45Woz2wKswgLzMTsqLqaWIKCg+IKoKRuynpnX3lFZGlKu2dvUsE5nrGdQb90pseRTG88OQB\nmpo3JTUylYg9EXSd2rXqLxg7VgihhIXd9y65uEBaQqMKmT9kGcvcBFKNHETwl6NG5i/lOFh1oSDu\nJsm26Rjq1lJCs18/0Yy4e7eoi60kyypJ4OUl0TzjOYJjg9G6FciYqWu5nLYA2s+nqNsaTK6+zJNf\nW2HU2Kh0vZMJJ7kal8rpwOa89FLtptfguLiIPw3Ow97PeHNqpweXktzhyIvCH68y/P2Fku1dmda7\n8bT3xHeDLwFRAWw8v5FZ2z4m9defmTj5FsOHVxybfi2dtaPWMuLHEdh3VcPSIe0M7O4GGRdEts9x\nlHo7qQ7VBM7e3jBjhkh8DvcpJETvSwqLC3FVuXLt0DUKbhdUXEFLBwb4g1VXCPKB03PLxHbu9hlU\nUFBQUKhzlODvQWBjAx07anTT4eHjQbPUDHadHEhejGL5oPAIU1QEZ8+qVfJZ0jtrYyOqFkt7Z0PL\nxhy+dphuK7sxp5k7Jk0GYmguShOPLDlC5ymdqy+N8/ERZWx1UPrp6go3Y40rZv4SE7EoTCJNsgQj\nNTN/KccpMu6AlJlBcfP76IUyNhZ+DqtXQ3Z2lcfbywv04weK0s/kUOINl3J8k8gOBa3U5sixmTRv\nl1hhnWUhy+iYsIyRIyUa10KM9KFBpYIDB4RkrBo4dXPCVLuIGT+8CznX4cz8ewfl5opyWzVKPkPX\nezPHYQ9j1o3hub+fJ2vDN3R0dsLFsqJ6Tl5GHn+N+Iseb/eg1ZhW1W+0uAjOL4Z9A0T5bp9NYFDL\n7HFVuLkJidtKrmElKtf9+8OW9WZY3niSwOhADCwMsOtoJywf7kZLFwbuB73GcO7T0nLjuubuTCtA\nQFQAiw4r5aUKCgr/Xuot+JMkqakkSQGSJF2QJOmcJElv3lk+/s77YkmS7nlEL0mSkyRJWZIkzaqv\nuTUIKhUEB0OWekpnFs0tsHI058R1W6JCttbz5BQU6oES34aICNGH1r79vb4Nd1HSO5uaKoI/uNM7\ne8dEfdWJVYxZHGF6rQAAIABJREFUN4ZVI1cxQvsGkuvLAGQnZXPmrzP0eLMGCXwrK7HBjRvvu/TT\n1RViY3RIu51ObmGuWBgZiSVppOUagrGTmsHfCVLSnMnUt6RREw1NxcuzaJGYVNIdQ+0qjreXF9y6\n4EHw9WAOb+tNgXFvrh2+RmxwLGHfh2E7eALB271Kx9/Musk/F7ZwYWe/R0/o5W5UKnEOPnpUreGS\nlkSjgZbI4dnc7rYJIn+BGD/xYcnv+9AhEQAOHlzj79vTE754syPFUf24vf9tzNO8iLloRbdywrQl\nlg5NezWl59s9q59gVhTs84b4bTAkFFwn1Upwpkakcr3rhWW/0fIq13/+KcqBr/+0hKVrTgFUXvpZ\nwq1gKMoBbWO4/J0o/awOdXxg7qJ8phVE4Oe7wRdPe6W8VEFB4d9LfWb+CoF3ZFluBfQAZkiS1Bo4\nCzwJVNHJw9fAznqcV8OgUomnzVU1MFWCh48HWrdNsZMPIRfdx02hgkJDUOLb8Ndf4n1ennjvWfON\nV/ngD4T59es7Xuer4K84OOkgT9i6ifI2Bx8Aji0/RuvxrTGxM6l5XmPHit6ls2drs1elmJqCsbGE\nrdyB+Mx4sTAiAgtShTecOj1/RfmQfo74q9YkStbYN7mPU7Knp+hnBHGzfutWpce7Y0dIjDPmdHQM\njTs3ZvOkzTRq0Yg/n/iTji92ZMf0Hdh7lpUZfh/2PT1z59HISlud/3UPNwMGgJaWRlUYA5/vg7vO\naXYcNIW+/0DYDFGqW/L7XrWKUnnOGn7f3t4wcPaPZP62Gr2QD0m+pcOcZSdLxcJkWWbnmzuRi2WG\nLa/G0kGWIeJnUebpOBIG7AeT5mrvU61QqYT6Urk0fHmVa3t7MeTpiQUEBGdTWFxIiydaVB78lfT4\n9f0bmk8E237ifXUBYGU+MDUdb2dv/Mb5MX79eObun4vvBl/8xvnh7ayUlyooKPx7qbfgT5blBFmW\nT9z570zgAuAgy/IFWZYvVbaOJEmjgUjgXH3Nq8Hw8hJKgxrcdLj7uGMdZcG11CaEHwiteQUFhYeJ\nkprNxYvF+48+quiHUg3lg79bObcY/MdgItMiCZkcgkdjD4j8GZyfB20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AbiBYdYUNL4qg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\n+B79H8OeHCQjf8nbuHKFtuqc4XO74FkYg1e3UewYuqP+i7npwXEgnFsN/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rAAACAASURB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\nQmCC\n",
      "text/plain": [
       "<Figure size 1080x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ARIMA Test RMSE: 2.808\n",
      "ARIMAX Test RMSE: 2.784\n",
      "ANN Model 1 Test RMSE: 2.756\n",
      "ANN Model 2 Test RMSE: 2.559\n"
     ]
    }
   ],
   "source": [
    "#Compare all models with RMSE on test set and graphical representation\n",
    "pyplot.rcParams['figure.figsize'] = (15,8)\n",
    "pyplot.plot(date_test, test, color='red', label='ACTUAL', marker='x')\n",
    "pyplot.plot(date_test, arima_pred, color='green', label='ARIMA', marker='x', lw=1)\n",
    "pyplot.plot(date_test, arimax_pred, color='blue', label='ARIMAX', marker='x', lw=1)\n",
    "pyplot.plot(date_test, ann1_pred, color='purple', label='ANN1', marker='x', lw=1)\n",
    "pyplot.plot(date_test, ann2_pred, color='orange', label='ANN2', marker='x', lw=1)\n",
    "pyplot.legend(loc='upper right')\n",
    "plt.ylabel('Stock Price (BAHT)')\n",
    "pyplot.show()\n",
    "print('ARIMA Test RMSE: %.3f' % arima_RMSE)\n",
    "print('ARIMAX Test RMSE: %.3f' % arimax_RMSE)\n",
    "print('ANN Model 1 Test RMSE: %.3f' % ann1_RMSE)\n",
    "print('ANN Model 2 Test RMSE: %.3f' % ann2_RMSE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "writer = pd.ExcelWriter('train.xlsx')\n",
    "kbank3.to_excel(writer,'Sheet1')\n",
    "writer.save()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2646"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(kbank3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "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": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}