diff --git a/assMath/ass2B/shorya/.ipynb_checkpoints/Untitled-checkpoint.ipynb b/assMath/ass2B/shorya/.ipynb_checkpoints/Untitled-checkpoint.ipynb new file mode 100644 index 0000000..f5ec1b0 --- /dev/null +++ b/assMath/ass2B/shorya/.ipynb_checkpoints/Untitled-checkpoint.ipynb @@ -0,0 +1,858 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "e54ff7fa", + "metadata": {}, + "source": [ + "Q1)(a)\n", + "\n", + "We try to estimate the mean of p(y|x), since this minimizes the mean squared error of our predicitons w.r.to the true value of y.\n", + "\n", + "Let the our prediciton be h, then MSE=$(Y-h)^{2}$.\n", + "\n", + "E[$(Y-h)^{2}$|x]=E[$(Y-u+u-h)^{2}$|x], where u=E[Y|x]\n", + "\n", + "=>E[$(Y-u)^{2}$|x]+E[$(u-h)^{2}$|x]+E[$(Y-u)(u-h)$|x]\n", + "\n", + "Since the 3rd term is zero and 2nd term is greater than zero.\n", + "\n", + "E[$(Y-h)^{2}$|x]$\\geq$E[$(Y-u)^{2}$|x]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "35fb2edc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[12. 14. 16.]\n", + "[13. 15. 17.]\n" + ] + } + ], + "source": [ + "#Q.1)(b)\n", + "import numpy as np\n", + "\n", + "class linear_regression:\n", + " def __init__(self):\n", + " self.weights = None\n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " self.weights = np.linalg.inv(X.T @ X) @ X.T @ y\n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred = X @ self.weights\n", + " return y_pred\n", + "\n", + "regressor = linear_regression()\n", + "\n", + "#y=2*x\n", + "X = np.array([[1], [2], [3], [4], [5]])\n", + "y = np.array([2, 4, 6, 8, 10])\n", + "\n", + "regressor.fit(X, y)\n", + "\n", + "X_test = np.array([[6], [7], [8]])\n", + "y_pred = regressor.predict(X_test)\n", + "\n", + "print(y_pred)\n", + "\n", + "#y=2*x+1\n", + "\n", + "X = np.array([[1], [2], [3], [4], [5]])\n", + "y = np.array([3, 5, 7, 9, 11])\n", + "\n", + "regressor.fit(X, y)\n", + "\n", + "X_test = np.array([[6], [7], [8]])\n", + "y_pred = regressor.predict(X_test)\n", + "\n", + "print(y_pred)\n" + ] + }, + { + "cell_type": "markdown", + "id": "21e2bbde", + "metadata": {}, + "source": [ + "When we model p(y|x) as a normal with mean w*x and stdev=I, then our answer which is the expectation is w*x, i.e. E[y|x]=w*x.\n", + "\n", + "To find the weights, we take the maximum likelihood estimate of the gaussian which is nothing but maximimzing the negative log of the gaussian.\n", + "\n", + "p(y|x)=$\\frac{1}{\\sqrt{2\\pi}\\sigma}e^{-\\frac{(y-u)^{2}}{2\\sigma^{2}}}$\n", + "\n", + "=>-log(p(y|x))=$log(\\sqrt{2\\pi}\\sigma)$+$\\frac{(y-u)^{2}}{2\\sigma^{2}}$\n", + "\n", + "So, maximizing taking sigma as I and maximizing this for u, involves minimzing the least squares term since the first term is independent of u, so the we get the value of weights as w=$(X^{T}X)^{-1}X^{T}Y$\n", + "\n", + "### Parameterizing sigma\n", + "Since,the choice of σ does not directly affect the estimation of weights in linear regression, it doesn't affect our output,but it plays a significant role in influencing the model's confidence or uncertainty in its predictions." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c6cf0f55", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "dedef773", + "metadata": {}, + "source": [ + "Q1)(c)\n", + "\n", + "An exponential family is represnted as follows:\n", + "\n", + "p(y;n)=b(y)$e^{n^{T}T(y)-A(n)}$\n", + "\n", + "where y=Data,n=natural paramter,T(y)=sufficient statistic(usaully taken as y),b(y)=base measure,A(n)=log-partition\n", + "\n", + "Also dimension of y and n should match obviously.\n", + "\n", + "So, I will consider a bernoulli distribution, p(y;a)=$a^{y}(1-a)^{1-y}$\n", + "\n", + "This can be written as p(y;a)=$(\\frac{a}{1-a})^{y}(1-a)$\n", + "=> $e^{ylog(\\frac{a}{1-a})+log(1-a)}$\n", + "\n", + "So,b(y)=1,T(y)=y,$n=log(\\frac{a}{1-a})$,A(n)=log(1-a),n=natural parameter\n", + "\n", + "So,a=$\\frac{1}{1+e^{-n}}$\n", + "\n", + "\n", + "So,A(n)=log(1+$e^{n}$)\n", + "\n", + "So,Using a generalized linear model on bernoulli for binary classfication, we have to use the following assumptions:\n", + "\n", + "1)y|x;w-bernoulli(n)\n", + "\n", + "2)n=$w^{T}$x\n", + "\n", + "3)During testing, our predicition will be E[y|X=x;w], which according to properties of exp families is the partial derivative of A(n) w.r.to n which will be our hypothesis function h(x;w) which gives h(x;w)=$\\frac{1}{1+e^{-n}}$\n", + "\n", + "### So, what we are trying to estimate is the E[y|X=x;w] as modelled by the bernoulli.\n", + "\n", + "So, we will build a binary classfication model commonly known as logistic regression, where p(y=1|x;w)=h(x;w)\n", + "and p(y=-1|x;w)=1-h(x;w) where h(x;w)=$\\frac{1}{1+e^{-n}}$ and n=w*x\n", + "\n", + "### Loss function\n", + "This involves maximizing the log of p(y|x;w).\n", + "\n", + "So, log(p(y|x;w))= ylog(a)+(1-y)log(1-a) where a=$\\frac{1}{1+e^{-n}}$ and n=w*x\n", + "\n", + "So, taking the partial derivative w.r.to w we get,=>$\\frac{y*a*(1-a)*x}{a}-\\frac{(1-y)*a*(1-a)*x}{1-a}$\n", + "\n", + "=> (y(1-a)-(1-y)a)x\n", + "\n", + "=>(y-a)x\n", + "\n", + "So, we need to the update rule w->w+$\\alpha\\frac{\\sum{(y-a)x}}{n}$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "id": "f0acc4b7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0, 1, 1]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import math\n", + "\n", + "class logistic_regression:\n", + " def __init__(self,learning_rate,threshold,batch_size):\n", + " self.weights = None\n", + " self.alpha=learning_rate\n", + " self.threshold=threshold\n", + " self.n=batch_size\n", + " \n", + " def a(self,w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + " \n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " i=0\n", + " self.weights=np.zeros(X[0].size)\n", + " for k in range(math.floor(X.shape[0]/self.n)):\n", + " update=0\n", + " for j in range(self.n):\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " i+=1\n", + " update*=self.alpha\n", + " update/=self.n\n", + " self.weights+=update\n", + " for k in range(i,X.shape[0]):\n", + " update=0\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " i+=1\n", + " update*=self.alpha\n", + " update/=(X.shape[0]-math.floor(X.shape[0]/self.n)*self.n)\n", + " self.weights+=update\n", + " \n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred=[]\n", + " for i in range(X.shape[0]):\n", + " y_pred.append(self.a(self.weights,X[i]))\n", + " if(y_pred[i]>=self.threshold): y_pred[i]=1\n", + " else: y_pred[i]=0\n", + " return y_pred\n", + " \n", + "#binary classification on numbers based on sign where positive is 1 and negative is 0\n", + "\n", + "regressor = logistic_regression(0.1,0.5,10)\n", + "\n", + "X=[]\n", + "y=[]\n", + "for x in range(-103,103,1):\n", + " X.append([x])\n", + " if(x>=0):y.append(1)\n", + " else:y.append(0)\n", + "X=np.array(X)\n", + "y=np.array(y)\n", + "\n", + "regressor.fit(X, y)\n", + "\n", + "X_test=np.array([[-1],[50],[1000]])\n", + "y_pred = regressor.predict(X_test)\n", + "\n", + "print(y_pred)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6588a82f", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 102, + "id": "bcdeeb6f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'AA': 22.25770734371538, 'AB': 2.561655052276653, 'AC': 0.06245723680329383, 'BA': 32.73219379378796, 'BB': 5.039251499565334e-25, 'BC': 2.614081412966965, 'CA': 16.15674668223581, 'CB': 15.774197648433677, 'CC': 5.699794881411253}\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Q.2)\n", + "\n", + "import numpy as np\n", + "import csv\n", + "import sklearn\n", + "from sklearn.metrics import mean_squared_error\n", + "import matplotlib.pyplot as plt\n", + "from sklearn.linear_model import LinearRegression\n", + " \n", + "with open('train_set_A.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_train_A=[]\n", + " Y_train_A=[]\n", + " for row in csvreader:\n", + " X_train_A.append([float(row[0])])\n", + " Y_train_A.append(float(row[1]))\n", + "X_train_A=np.array(X_train_A)\n", + "Y_train_A=np.array(Y_train_A)\n", + "\n", + "with open('train_set_B.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_train_B=[]\n", + " Y_train_B=[]\n", + " for row in csvreader:\n", + " X_train_B.append([float(row[0])])\n", + " Y_train_B.append(float(row[1]))\n", + "X_train_B=np.array(X_train_B)\n", + "Y_train_B=np.array(Y_train_B)\n", + "\n", + "with open('train_set_C.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_train_C=[]\n", + " Y_train_C=[]\n", + " for row in csvreader:\n", + " X_train_C.append([float(row[0])])\n", + " Y_train_C.append(float(row[1]))\n", + "X_train_C=np.array(X_train_C)\n", + "Y_train_C=np.array(Y_train_C)\n", + "\n", + "regressorA = LinearRegression()\n", + "regressorB = LinearRegression()\n", + "regressorC = LinearRegression()\n", + "\n", + "regressorA.fit(X_train_A,Y_train_A)\n", + "regressorB.fit(X_train_B,Y_train_B)\n", + "regressorC.fit(X_train_C,Y_train_C)\n", + "\n", + "with open('test_set_A.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_test_A=[]\n", + " Y_test_A=[]\n", + " for row in csvreader:\n", + " X_test_A.append([float(row[0])])\n", + " Y_test_A.append(float(row[1]))\n", + "X_test_A=np.array(X_test_A)\n", + "Y_test_A=np.array(Y_test_A)\n", + "\n", + "with open('test_set_B.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_test_B=[]\n", + " Y_test_B=[]\n", + " for row in csvreader:\n", + " X_test_B.append([float(row[0])])\n", + " Y_test_B.append(float(row[1]))\n", + "X_test_B=np.array(X_test_B)\n", + "Y_test_B=np.array(Y_test_B)\n", + "\n", + "with open('test_set_C.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_test_C=[]\n", + " Y_test_C=[]\n", + " for row in csvreader:\n", + " X_test_C.append([float(row[0])])\n", + " Y_test_C.append(float(row[1]))\n", + "X_test_C=np.array(X_test_C)\n", + "Y_test_C=np.array(Y_test_C)\n", + "\n", + "Y_AA=regressorA.predict(X_test_A)\n", + "Y_AB=regressorA.predict(X_test_B)\n", + "Y_AC=regressorA.predict(X_test_C)\n", + "Y_BA=regressorB.predict(X_test_A)\n", + "Y_BB=regressorB.predict(X_test_B)\n", + "Y_BC=regressorB.predict(X_test_C)\n", + "Y_CA=regressorC.predict(X_test_A)\n", + "Y_CB=regressorC.predict(X_test_B)\n", + "Y_CC=regressorC.predict(X_test_C)\n", + "\n", + "Y_mse={}\n", + "Y_mse[\"AA\"]=mean_squared_error(Y_test_A,Y_AA)\n", + "Y_mse[\"AB\"]=mean_squared_error(Y_test_B,Y_AB)\n", + "Y_mse[\"AC\"]=mean_squared_error(Y_test_C,Y_AC)\n", + "Y_mse[\"BA\"]=mean_squared_error(Y_test_A,Y_BA)\n", + "Y_mse[\"BB\"]=mean_squared_error(Y_test_B,Y_BB)\n", + "Y_mse[\"BC\"]=mean_squared_error(Y_test_C,Y_BC)\n", + "Y_mse[\"CA\"]=mean_squared_error(Y_test_A,Y_CA)\n", + "Y_mse[\"CB\"]=mean_squared_error(Y_test_B,Y_CB)\n", + "Y_mse[\"CC\"]=mean_squared_error(Y_test_C,Y_CC)\n", + "\n", + "print(Y_mse)\n", + "plt.bar(Y_mse.keys(), Y_mse.values(), color='b')" + ] + }, + { + "cell_type": "markdown", + "id": "a6623463", + "metadata": {}, + "source": [ + "From the MSE data it is evident that B is the acutal data for both train and test.\n", + "\n", + "Now, we will observe the deviation of train and test sets of A and C from B." + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "id": "02530d22", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.072440152071144\n", + "16.163588590175024\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 123, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.metrics import mean_absolute_error\n", + "import statistics as st\n", + "Z=Y_test_A.size\n", + "#A_test\n", + "E_A_X=[]\n", + "E_A_Y=[]\n", + "for i in range(Z):\n", + " E_A_X.append(X_test_A[i])\n", + " E_A_Y.append(abs(Y_test_A[i]-Y_test_B[i]))\n", + " \n", + "print(st.mean(E_A_Y))\n", + "print(st.variance(E_A_Y))\n", + "plt.scatter(E_A_X,E_A_Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "id": "1f9904e4", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.5973892469176583\n", + "0.06249149829630468\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 124, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import statistics as st\n", + "#C_test\n", + "E_C_X=[]\n", + "E_C_Y=[]\n", + "for i in range(Z):\n", + " E_C_X.append(X_test_C[i])\n", + " E_C_Y.append(abs(Y_test_C[i]-Y_test_B[i]))\n", + "print(st.mean(E_C_Y))\n", + "print(st.variance(E_C_Y))\n", + "plt.scatter(E_C_X,E_C_Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 146, + "id": "339152cb", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.9999853189818153\n", + "16.146120393997833\n" + ] + }, + { + "data": { + "text/plain": [ + "(array([481., 251., 128., 62., 33., 23., 13., 5., 2., 2.]),\n", + " array([1.64809231e-03, 2.62513895e+00, 5.24862982e+00, 7.87212068e+00,\n", + " 1.04956115e+01, 1.31191024e+01, 1.57425933e+01, 1.83660841e+01,\n", + " 2.09895750e+01, 2.36130659e+01, 2.62365567e+01]),\n", + " )" + ] + }, + "execution_count": 146, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import statistics as st\n", + "#C_train\n", + "E_C_X=[]\n", + "E_C_Y=[]\n", + "for i in range(Z):\n", + " E_C_X.append(X_train_C[i])\n", + " E_C_Y.append(abs(Y_train_C[i]-Y_train_B[i]))\n", + "print(st.mean(E_C_Y))\n", + "print(st.variance(E_C_Y))\n", + "plt.hist(E_C_Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 142, + "id": "6a6066a4", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.5967922155987488\n", + "0.06254955280734474\n" + ] + }, + { + "data": { + "text/plain": [ + "(array([ 9., 40., 84., 148., 215., 231., 144., 89., 30., 10.]),\n", + " array([0.88268606, 1.02616359, 1.16964111, 1.31311864, 1.45659616,\n", + " 1.60007369, 1.74355121, 1.88702874, 2.03050626, 2.17398379,\n", + " 2.31746131]),\n", + " )" + ] + }, + "execution_count": 142, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import statistics as st\n", + "#A_train\n", + "E_A_X=[]\n", + "E_A_Y=[]\n", + "for i in range(Z):\n", + " E_A_X.append(X_train_A[i])\n", + " E_A_Y.append(abs(Y_train_A[i]-Y_train_B[i]))\n", + "print(st.mean(E_A_Y))\n", + "print(st.variance(E_A_Y))\n", + "plt.hist(E_A_Y)" + ] + }, + { + "cell_type": "markdown", + "id": "f6dc5de9", + "metadata": {}, + "source": [ + "As we can see the distribution of A train is close to C test and C train is close to A test, as for the distributions we can see that C_train is the exponential(4) since the variance is square of mean and histogram shows this and A_train is a gaussian with paramaters roughly (1.6,0.625)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d988b892", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 363, + "id": "fa7cd340", + "metadata": {}, + "outputs": [], + "source": [ + "#Q3\n", + "import numpy as np\n", + "import math\n", + "import time\n", + "\n", + "class logistic_regression_grad:\n", + " def __init__(self,learning_rate,threshold):\n", + " self.weights = None\n", + " self.alpha=learning_rate\n", + " self.threshold=threshold\n", + " \n", + " def a(self,w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + " \n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " self.weights=np.zeros(X[0].size)\n", + " update=[1e9]*X[0].size\n", + " itr=0\n", + " start=time.time()\n", + " while(abs(sum(update)/X[0].size)>2*1e-5):\n", + " update=0\n", + " for i in range(X.shape[0]):\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " update/=X.shape[0]\n", + " update*=self.alpha\n", + " self.weights+=update\n", + " itr+=1\n", + " end=time.time()\n", + " return itr,end-start\n", + " \n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred=[]\n", + " for i in range(X.shape[0]):\n", + " y_pred.append(self.a(self.weights,X[i]))\n", + " if(y_pred[i]>=self.threshold): y_pred[i]=1\n", + " else: y_pred[i]=0\n", + " return y_pred\n", + " \n", + "class logistic_regression_fisher:\n", + " def __init__(self,threshold):\n", + " self.weights = None\n", + " self.threshold=threshold\n", + " \n", + " def a(self,w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + " \n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " self.weights=np.zeros(X[0].size)\n", + " update=[-1e9]*X[0].size\n", + " itr=0\n", + " start=time.time()\n", + " while(abs(sum(update)/X[0].size)>2*1e-5):\n", + " update=0\n", + " for i in range(X.shape[0]):\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " update/=X.shape[0]\n", + " update=np.array(update)\n", + " hessian=np.zeros((X[0].size,X[0].size))\n", + " for i in range(X.shape[0]):\n", + " d=self.a(self.weights,X[i])\n", + " d=d*(1-d)\n", + " hessian+=d*np.outer(X[i],X[i])\n", + " hessian/=X.shape[0]\n", + " if(hessian.max()==0):break\n", + " update=np.dot(np.linalg.inv(hessian),update)\n", + " self.weights-=update\n", + " itr+=1\n", + " end=time.time()\n", + " return itr,end-start\n", + " \n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred=[]\n", + " for i in range(X.shape[0]):\n", + " y_pred.append(self.a(self.weights,X[i]))\n", + " if(y_pred[i]>=self.threshold): y_pred[i]=1\n", + " else: y_pred[i]=0\n", + " return y_pred\n", + " \n", + "def a(w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + "\n", + "#Generating the dataset\n", + "def dataset(dim, points):\n", + " x=np.random.normal(0,1/math.sqrt(points), (points,dim))\n", + " fac = np.random.normal(0, 1/math.sqrt(points), (dim,1))\n", + " y = np.random.binomial(1, a(x,fac))\n", + " \n", + " return x, y\n", + "X_train,Y_train=dataset(10,100)\n", + "X_test,Y_test=dataset(10,10)" + ] + }, + { + "cell_type": "code", + "execution_count": 364, + "id": "b27c0255", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\shory\\AppData\\Local\\Temp\\ipykernel_6560\\1686702027.py:47: RuntimeWarning: overflow encountered in exp\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n" + ] + } + ], + "source": [ + "regressor_grad=logistic_regression_grad(0.1,0.5)\n", + "regressor_fish=logistic_regression_fisher(0.5)\n", + "\n", + "itr_grad,time_grad=regressor_grad.fit(X_train,Y_train)\n", + "itr_fish,time_fish=regressor_fish.fit(X_train,Y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 365, + "id": "267c3a6e", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "65 0.1314859390258789\n", + "6 0.018940448760986328\n" + ] + } + ], + "source": [ + "print(itr_grad,time_grad)\n", + "print(itr_fish,time_fish)" + ] + }, + { + "cell_type": "code", + "execution_count": 366, + "id": "a0dc2527", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7 6\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\shory\\AppData\\Local\\Temp\\ipykernel_6560\\1686702027.py:47: RuntimeWarning: overflow encountered in exp\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n" + ] + } + ], + "source": [ + "Y_test_grad=regressor_grad.predict(X_test)\n", + "Y_test_fish=regressor_fish.predict(X_test)\n", + "\n", + "acc_grad=0\n", + "acc_fish=0\n", + "for i in range(Y_test.size):\n", + " if(Y_test[i]==Y_test_grad[i]):acc_grad+=1\n", + " if(Y_test[i]==Y_test_fish[i]):acc_fish+=1\n", + "print(acc_grad,acc_fish)" + ] + }, + { + "cell_type": "markdown", + "id": "2b592113", + "metadata": {}, + "source": [ + "Well as we can the model have similar accuracy obviously for same threshold for stopping training, But if we compare the number of iterations, needed fisher method needs less than grad descent, this is obvious since, fisher method has quadratic convergence while grad desecent has linear order convergence, but the tradeoff is that the runtime and memory overhead of Fisher/NR method per iteration is more than grad descent since we need to compute the hessian, so the order of operations in grad descent is O($n^{2}$) while in Fisher it is O($n^{3}$)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f9ba982a", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "3b47e549", + "metadata": {}, + "source": [ + "Q4)\n", + "\n", + "A flexible method usually has less assumptions i.e low bias and high vairance eg-decision trees, whereas an inflexible method has a high bias and low variance eg-linear regression. As to which method performs better depends on the specific task and shouldn't be judged in advance, but generally speaking data in the real world is usaully complex and cannot be generalized by an inflexible method(underfitting), so, flexible methods generally perform well. Though our goal should always be to find the sweet spot between the $bias^{2}$ and variance tradeoff which minimizes the training error and the distance between the training and test error, going with a highly flexible method can lead to overfitting wherein our model does better during training but fails to generalize.\n", + "\n", + "(a)A flexible method will perform better here, Since the amount of data is large, chances of noise even in case of simple relationships are large, an inflexible method in this case will fail to capture the features of the data and underfit, This can also be shown using vc dimension, where a flexible method has much more capacity and can represent more combinations of data than an inflexible method and thus, will more likely converge closer to the actual function.\n", + "\n", + "(b) If the amount of data is small, then an inflexible method does better, since the flexible method can overfit the data and the noise in the data comepletely, and do bad at generalizing the features of the data, thus, doing bad when testing. More formally, an flexible method's vc dim is high, and much more likely to shatter the set of combinations of possible outputs with small data, so it will completley fit the data but it will not generalize well to test data.\n", + "\n", + "(c) If the relationship is already highly non linear to begin with, then an flexible method will do well, since highly non linear functions are flexible and complex in nature, and thus can't be represented by an inflexible method" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/assMath/ass2B/shorya/.ipynb_checkpoints/ass2B_solutions_shorya-checkpoint.ipynb b/assMath/ass2B/shorya/.ipynb_checkpoints/ass2B_solutions_shorya-checkpoint.ipynb new file mode 100644 index 0000000..adf8ef4 --- /dev/null +++ b/assMath/ass2B/shorya/.ipynb_checkpoints/ass2B_solutions_shorya-checkpoint.ipynb @@ -0,0 +1,858 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "a255f777", + "metadata": {}, + "source": [ + "Q1)(a)\n", + "\n", + "We try to estimate the mean of p(y|x), since this minimizes the mean squared error of our predicitons w.r.to the true value of y.\n", + "\n", + "Let the our prediciton be h, then MSE=$(Y-h)^{2}$.\n", + "\n", + "E[$(Y-h)^{2}$|x]=E[$(Y-u+u-h)^{2}$|x], where u=E[Y|x]\n", + "\n", + "=>E[$(Y-u)^{2}$|x]+E[$(u-h)^{2}$|x]+E[$(Y-u)(u-h)$|x]\n", + "\n", + "Since the 3rd term is zero and 2nd term is greater than zero.\n", + "\n", + "E[$(Y-h)^{2}$|x]$\\geq$E[$(Y-u)^{2}$|x]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "752ef5f6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[12. 14. 16.]\n", + "[13. 15. 17.]\n" + ] + } + ], + "source": [ + "#Q.1)(b)\n", + "import numpy as np\n", + "\n", + "class linear_regression:\n", + " def __init__(self):\n", + " self.weights = None\n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " self.weights = np.linalg.inv(X.T @ X) @ X.T @ y\n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred = X @ self.weights\n", + " return y_pred\n", + "\n", + "regressor = linear_regression()\n", + "\n", + "#y=2*x\n", + "X = np.array([[1], [2], [3], [4], [5]])\n", + "y = np.array([2, 4, 6, 8, 10])\n", + "\n", + "regressor.fit(X, y)\n", + "\n", + "X_test = np.array([[6], [7], [8]])\n", + "y_pred = regressor.predict(X_test)\n", + "\n", + "print(y_pred)\n", + "\n", + "#y=2*x+1\n", + "\n", + "X = np.array([[1], [2], [3], [4], [5]])\n", + "y = np.array([3, 5, 7, 9, 11])\n", + "\n", + "regressor.fit(X, y)\n", + "\n", + "X_test = np.array([[6], [7], [8]])\n", + "y_pred = regressor.predict(X_test)\n", + "\n", + "print(y_pred)\n" + ] + }, + { + "cell_type": "markdown", + "id": "84c7f966", + "metadata": {}, + "source": [ + "When we model p(y|x) as a normal with mean w*x and stdev=I, then our answer which is the expectation is w*x, i.e. E[y|x]=w*x.\n", + "\n", + "To find the weights, we take the maximum likelihood estimate of the gaussian which is nothing but maximimzing the negative log of the gaussian.\n", + "\n", + "p(y|x)=$\\frac{1}{\\sqrt{2\\pi}\\sigma}e^{-\\frac{(y-u)^{2}}{2\\sigma^{2}}}$\n", + "\n", + "=>-log(p(y|x))=$log(\\sqrt{2\\pi}\\sigma)$+$\\frac{(y-u)^{2}}{2\\sigma^{2}}$\n", + "\n", + "So, maximizing taking sigma as I and maximizing this for u, involves minimzing the least squares term since the first term is independent of u, so the we get the value of weights as w=$(X^{T}X)^{-1}X^{T}Y$\n", + "\n", + "### Parameterizing sigma\n", + "Since,the choice of σ does not directly affect the estimation of weights in linear regression, it doesn't affect our output,but it plays a significant role in influencing the model's confidence or uncertainty in its predictions." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cba8c564", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "f37af32a", + "metadata": {}, + "source": [ + "Q1)(c)\n", + "\n", + "An exponential family is represnted as follows:\n", + "\n", + "p(y;n)=b(y)$e^{n^{T}T(y)-A(n)}$\n", + "\n", + "where y=Data,n=natural paramter,T(y)=sufficient statistic(usaully taken as y),b(y)=base measure,A(n)=log-partition\n", + "\n", + "Also dimension of y and n should match obviously.\n", + "\n", + "So, I will consider a bernoulli distribution, p(y;a)=$a^{y}(1-a)^{1-y}$\n", + "\n", + "This can be written as p(y;a)=$(\\frac{a}{1-a})^{y}(1-a)$\n", + "=> $e^{ylog(\\frac{a}{1-a})+log(1-a)}$\n", + "\n", + "So,b(y)=1,T(y)=y,$n=log(\\frac{a}{1-a})$,A(n)=log(1-a),n=natural parameter\n", + "\n", + "So,a=$\\frac{1}{1+e^{-n}}$\n", + "\n", + "\n", + "So,A(n)=log(1+$e^{n}$)\n", + "\n", + "So,Using a generalized linear model on bernoulli for binary classfication, we have to use the following assumptions:\n", + "\n", + "1)y|x;w-bernoulli(n)\n", + "\n", + "2)n=$w^{T}$x\n", + "\n", + "3)During testing, our predicition will be E[y|X=x;w], which according to properties of exp families is the partial derivative of A(n) w.r.to n which will be our hypothesis function h(x;w) which gives h(x;w)=$\\frac{1}{1+e^{-n}}$\n", + "\n", + "### So, what we are trying to estimate is the E[y|X=x;w] as modelled by the bernoulli.\n", + "\n", + "So, we will build a binary classfication model commonly known as logistic regression, where p(y=1|x;w)=h(x;w)\n", + "and p(y=-1|x;w)=1-h(x;w) where h(x;w)=$\\frac{1}{1+e^{-n}}$ and n=w*x\n", + "\n", + "### Loss function\n", + "This involves maximizing the log of p(y|x;w).\n", + "\n", + "So, log(p(y|x;w))= ylog(a)+(1-y)log(1-a) where a=$\\frac{1}{1+e^{-n}}$ and n=w*x\n", + "\n", + "So, taking the partial derivative w.r.to w we get,=>$\\frac{y*a*(1-a)*x}{a}-\\frac{(1-y)*a*(1-a)*x}{1-a}$\n", + "\n", + "=> (y(1-a)-(1-y)a)x\n", + "\n", + "=>(y-a)x\n", + "\n", + "So, we need to the update rule w->w+$\\alpha\\frac{\\sum{(y-a)x}}{n}$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "id": "034fec8b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0, 1, 1]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import math\n", + "\n", + "class logistic_regression:\n", + " def __init__(self,learning_rate,threshold,batch_size):\n", + " self.weights = None\n", + " self.alpha=learning_rate\n", + " self.threshold=threshold\n", + " self.n=batch_size\n", + " \n", + " def a(self,w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + " \n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " i=0\n", + " self.weights=np.zeros(X[0].size)\n", + " for k in range(math.floor(X.shape[0]/self.n)):\n", + " update=0\n", + " for j in range(self.n):\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " i+=1\n", + " update*=self.alpha\n", + " update/=self.n\n", + " self.weights+=update\n", + " for k in range(i,X.shape[0]):\n", + " update=0\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " i+=1\n", + " update*=self.alpha\n", + " update/=(X.shape[0]-math.floor(X.shape[0]/self.n)*self.n)\n", + " self.weights+=update\n", + " \n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred=[]\n", + " for i in range(X.shape[0]):\n", + " y_pred.append(self.a(self.weights,X[i]))\n", + " if(y_pred[i]>=self.threshold): y_pred[i]=1\n", + " else: y_pred[i]=0\n", + " return y_pred\n", + " \n", + "#binary classification on numbers based on sign where positive is 1 and negative is 0\n", + "\n", + "regressor = logistic_regression(0.1,0.5,10)\n", + "\n", + "X=[]\n", + "y=[]\n", + "for x in range(-103,103,1):\n", + " X.append([x])\n", + " if(x>=0):y.append(1)\n", + " else:y.append(0)\n", + "X=np.array(X)\n", + "y=np.array(y)\n", + "\n", + "regressor.fit(X, y)\n", + "\n", + "X_test=np.array([[-1],[50],[1000]])\n", + "y_pred = regressor.predict(X_test)\n", + "\n", + "print(y_pred)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "116e8fd7", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 102, + "id": "f4f11f86", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'AA': 22.25770734371538, 'AB': 2.561655052276653, 'AC': 0.06245723680329383, 'BA': 32.73219379378796, 'BB': 5.039251499565334e-25, 'BC': 2.614081412966965, 'CA': 16.15674668223581, 'CB': 15.774197648433677, 'CC': 5.699794881411253}\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Q.2)\n", + "\n", + "import numpy as np\n", + "import csv\n", + "import sklearn\n", + "from sklearn.metrics import mean_squared_error\n", + "import matplotlib.pyplot as plt\n", + "from sklearn.linear_model import LinearRegression\n", + " \n", + "with open('train_set_A.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_train_A=[]\n", + " Y_train_A=[]\n", + " for row in csvreader:\n", + " X_train_A.append([float(row[0])])\n", + " Y_train_A.append(float(row[1]))\n", + "X_train_A=np.array(X_train_A)\n", + "Y_train_A=np.array(Y_train_A)\n", + "\n", + "with open('train_set_B.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_train_B=[]\n", + " Y_train_B=[]\n", + " for row in csvreader:\n", + " X_train_B.append([float(row[0])])\n", + " Y_train_B.append(float(row[1]))\n", + "X_train_B=np.array(X_train_B)\n", + "Y_train_B=np.array(Y_train_B)\n", + "\n", + "with open('train_set_C.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_train_C=[]\n", + " Y_train_C=[]\n", + " for row in csvreader:\n", + " X_train_C.append([float(row[0])])\n", + " Y_train_C.append(float(row[1]))\n", + "X_train_C=np.array(X_train_C)\n", + "Y_train_C=np.array(Y_train_C)\n", + "\n", + "regressorA = LinearRegression()\n", + "regressorB = LinearRegression()\n", + "regressorC = LinearRegression()\n", + "\n", + "regressorA.fit(X_train_A,Y_train_A)\n", + "regressorB.fit(X_train_B,Y_train_B)\n", + "regressorC.fit(X_train_C,Y_train_C)\n", + "\n", + "with open('test_set_A.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_test_A=[]\n", + " Y_test_A=[]\n", + " for row in csvreader:\n", + " X_test_A.append([float(row[0])])\n", + " Y_test_A.append(float(row[1]))\n", + "X_test_A=np.array(X_test_A)\n", + "Y_test_A=np.array(Y_test_A)\n", + "\n", + "with open('test_set_B.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_test_B=[]\n", + " Y_test_B=[]\n", + " for row in csvreader:\n", + " X_test_B.append([float(row[0])])\n", + " Y_test_B.append(float(row[1]))\n", + "X_test_B=np.array(X_test_B)\n", + "Y_test_B=np.array(Y_test_B)\n", + "\n", + "with open('test_set_C.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_test_C=[]\n", + " Y_test_C=[]\n", + " for row in csvreader:\n", + " X_test_C.append([float(row[0])])\n", + " Y_test_C.append(float(row[1]))\n", + "X_test_C=np.array(X_test_C)\n", + "Y_test_C=np.array(Y_test_C)\n", + "\n", + "Y_AA=regressorA.predict(X_test_A)\n", + "Y_AB=regressorA.predict(X_test_B)\n", + "Y_AC=regressorA.predict(X_test_C)\n", + "Y_BA=regressorB.predict(X_test_A)\n", + "Y_BB=regressorB.predict(X_test_B)\n", + "Y_BC=regressorB.predict(X_test_C)\n", + "Y_CA=regressorC.predict(X_test_A)\n", + "Y_CB=regressorC.predict(X_test_B)\n", + "Y_CC=regressorC.predict(X_test_C)\n", + "\n", + "Y_mse={}\n", + "Y_mse[\"AA\"]=mean_squared_error(Y_test_A,Y_AA)\n", + "Y_mse[\"AB\"]=mean_squared_error(Y_test_B,Y_AB)\n", + "Y_mse[\"AC\"]=mean_squared_error(Y_test_C,Y_AC)\n", + "Y_mse[\"BA\"]=mean_squared_error(Y_test_A,Y_BA)\n", + "Y_mse[\"BB\"]=mean_squared_error(Y_test_B,Y_BB)\n", + "Y_mse[\"BC\"]=mean_squared_error(Y_test_C,Y_BC)\n", + "Y_mse[\"CA\"]=mean_squared_error(Y_test_A,Y_CA)\n", + "Y_mse[\"CB\"]=mean_squared_error(Y_test_B,Y_CB)\n", + "Y_mse[\"CC\"]=mean_squared_error(Y_test_C,Y_CC)\n", + "\n", + "print(Y_mse)\n", + "plt.bar(Y_mse.keys(), Y_mse.values(), color='b')" + ] + }, + { + "cell_type": "markdown", + "id": "9a897fde", + "metadata": {}, + "source": [ + "From the MSE data it is evident that B is the acutal data for both train and test.\n", + "\n", + "Now, we will observe the deviation of train and test sets of A and C from B." + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "id": "493c93cf", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.072440152071144\n", + "16.163588590175024\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 123, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.metrics import mean_absolute_error\n", + "import statistics as st\n", + "Z=Y_test_A.size\n", + "#A_test\n", + "E_A_X=[]\n", + "E_A_Y=[]\n", + "for i in range(Z):\n", + " E_A_X.append(X_test_A[i])\n", + " E_A_Y.append(abs(Y_test_A[i]-Y_test_B[i]))\n", + " \n", + "print(st.mean(E_A_Y))\n", + "print(st.variance(E_A_Y))\n", + "plt.scatter(E_A_X,E_A_Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "id": "bd398b1f", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.5973892469176583\n", + "0.06249149829630468\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 124, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import statistics as st\n", + "#C_test\n", + "E_C_X=[]\n", + "E_C_Y=[]\n", + "for i in range(Z):\n", + " E_C_X.append(X_test_C[i])\n", + " E_C_Y.append(abs(Y_test_C[i]-Y_test_B[i]))\n", + "print(st.mean(E_C_Y))\n", + "print(st.variance(E_C_Y))\n", + "plt.scatter(E_C_X,E_C_Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 146, + "id": "0c63403b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.9999853189818153\n", + "16.146120393997833\n" + ] + }, + { + "data": { + "text/plain": [ + "(array([481., 251., 128., 62., 33., 23., 13., 5., 2., 2.]),\n", + " array([1.64809231e-03, 2.62513895e+00, 5.24862982e+00, 7.87212068e+00,\n", + " 1.04956115e+01, 1.31191024e+01, 1.57425933e+01, 1.83660841e+01,\n", + " 2.09895750e+01, 2.36130659e+01, 2.62365567e+01]),\n", + " )" + ] + }, + "execution_count": 146, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import statistics as st\n", + "#C_train\n", + "E_C_X=[]\n", + "E_C_Y=[]\n", + "for i in range(Z):\n", + " E_C_X.append(X_train_C[i])\n", + " E_C_Y.append(abs(Y_train_C[i]-Y_train_B[i]))\n", + "print(st.mean(E_C_Y))\n", + "print(st.variance(E_C_Y))\n", + "plt.hist(E_C_Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 142, + "id": "b8864f8e", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.5967922155987488\n", + "0.06254955280734474\n" + ] + }, + { + "data": { + "text/plain": [ + "(array([ 9., 40., 84., 148., 215., 231., 144., 89., 30., 10.]),\n", + " array([0.88268606, 1.02616359, 1.16964111, 1.31311864, 1.45659616,\n", + " 1.60007369, 1.74355121, 1.88702874, 2.03050626, 2.17398379,\n", + " 2.31746131]),\n", + " )" + ] + }, + "execution_count": 142, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import statistics as st\n", + "#A_train\n", + "E_A_X=[]\n", + "E_A_Y=[]\n", + "for i in range(Z):\n", + " E_A_X.append(X_train_A[i])\n", + " E_A_Y.append(abs(Y_train_A[i]-Y_train_B[i]))\n", + "print(st.mean(E_A_Y))\n", + "print(st.variance(E_A_Y))\n", + "plt.hist(E_A_Y)" + ] + }, + { + "cell_type": "markdown", + "id": "c52531d0", + "metadata": {}, + "source": [ + "As we can see the distribution of A train is close to C test and C train is close to A test, as for the distributions we can see that C_train is the exponential(4) since the variance is square of mean and histogram shows this and A_train is a gaussian with paramaters roughly (1.6,0.625)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "528f50cd", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 363, + "id": "e395a6d5", + "metadata": {}, + "outputs": [], + "source": [ + "#Q3\n", + "import numpy as np\n", + "import math\n", + "import time\n", + "\n", + "class logistic_regression_grad:\n", + " def __init__(self,learning_rate,threshold):\n", + " self.weights = None\n", + " self.alpha=learning_rate\n", + " self.threshold=threshold\n", + " \n", + " def a(self,w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + " \n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " self.weights=np.zeros(X[0].size)\n", + " update=[1e9]*X[0].size\n", + " itr=0\n", + " start=time.time()\n", + " while(abs(sum(update)/X[0].size)>2*1e-5):\n", + " update=0\n", + " for i in range(X.shape[0]):\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " update/=X.shape[0]\n", + " update*=self.alpha\n", + " self.weights+=update\n", + " itr+=1\n", + " end=time.time()\n", + " return itr,end-start\n", + " \n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred=[]\n", + " for i in range(X.shape[0]):\n", + " y_pred.append(self.a(self.weights,X[i]))\n", + " if(y_pred[i]>=self.threshold): y_pred[i]=1\n", + " else: y_pred[i]=0\n", + " return y_pred\n", + " \n", + "class logistic_regression_fisher:\n", + " def __init__(self,threshold):\n", + " self.weights = None\n", + " self.threshold=threshold\n", + " \n", + " def a(self,w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + " \n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " self.weights=np.zeros(X[0].size)\n", + " update=[-1e9]*X[0].size\n", + " itr=0\n", + " start=time.time()\n", + " while(abs(sum(update)/X[0].size)>2*1e-5):\n", + " update=0\n", + " for i in range(X.shape[0]):\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " update/=X.shape[0]\n", + " update=np.array(update)\n", + " hessian=np.zeros((X[0].size,X[0].size))\n", + " for i in range(X.shape[0]):\n", + " d=self.a(self.weights,X[i])\n", + " d=d*(1-d)\n", + " hessian+=d*np.outer(X[i],X[i])\n", + " hessian/=X.shape[0]\n", + " if(hessian.max()==0):break\n", + " update=np.dot(np.linalg.inv(hessian),update)\n", + " self.weights-=update\n", + " itr+=1\n", + " end=time.time()\n", + " return itr,end-start\n", + " \n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred=[]\n", + " for i in range(X.shape[0]):\n", + " y_pred.append(self.a(self.weights,X[i]))\n", + " if(y_pred[i]>=self.threshold): y_pred[i]=1\n", + " else: y_pred[i]=0\n", + " return y_pred\n", + " \n", + "def a(w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + "\n", + "#Generating the dataset\n", + "def dataset(dim, points):\n", + " x=np.random.normal(0,1/math.sqrt(points), (points,dim))\n", + " fac = np.random.normal(0, 1/math.sqrt(points), (dim,1))\n", + " y = np.random.binomial(1, a(x,fac))\n", + " \n", + " return x, y\n", + "X_train,Y_train=dataset(10,100)\n", + "X_test,Y_test=dataset(10,10)" + ] + }, + { + "cell_type": "code", + "execution_count": 364, + "id": "ef8da7ce", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\shory\\AppData\\Local\\Temp\\ipykernel_6560\\1686702027.py:47: RuntimeWarning: overflow encountered in exp\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n" + ] + } + ], + "source": [ + "regressor_grad=logistic_regression_grad(0.1,0.5)\n", + "regressor_fish=logistic_regression_fisher(0.5)\n", + "\n", + "itr_grad,time_grad=regressor_grad.fit(X_train,Y_train)\n", + "itr_fish,time_fish=regressor_fish.fit(X_train,Y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 365, + "id": "925d7116", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "65 0.1314859390258789\n", + "6 0.018940448760986328\n" + ] + } + ], + "source": [ + "print(itr_grad,time_grad)\n", + "print(itr_fish,time_fish)" + ] + }, + { + "cell_type": "code", + "execution_count": 366, + "id": "a5570e77", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7 6\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\shory\\AppData\\Local\\Temp\\ipykernel_6560\\1686702027.py:47: RuntimeWarning: overflow encountered in exp\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n" + ] + } + ], + "source": [ + "Y_test_grad=regressor_grad.predict(X_test)\n", + "Y_test_fish=regressor_fish.predict(X_test)\n", + "\n", + "acc_grad=0\n", + "acc_fish=0\n", + "for i in range(Y_test.size):\n", + " if(Y_test[i]==Y_test_grad[i]):acc_grad+=1\n", + " if(Y_test[i]==Y_test_fish[i]):acc_fish+=1\n", + "print(acc_grad,acc_fish)" + ] + }, + { + "cell_type": "markdown", + "id": "4e7e0c9e", + "metadata": {}, + "source": [ + "Well as we can the model have similar accuracy obviously for same threshold for stopping training, But if we compare the number of iterations, needed fisher method needs less than grad descent, this is obvious since, fisher method has quadratic convergence while grad desecent has linear order convergence, but the tradeoff is that the runtime and memory overhead of Fisher/NR method per iteration is more than grad descent since we need to compute the hessian, so the order of operations in grad descent is O($n^{2}$) while in Fisher it is O($n^{3}$)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2a644522", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "bb1f0c99", + "metadata": {}, + "source": [ + "Q4)\n", + "\n", + "A flexible method usually has less assumptions i.e low bias and high vairance eg-decision trees, whereas an inflexible method has a high bias and low variance eg-linear regression. As to which method performs better depends on the specific task and shouldn't be judged in advance, but generally speaking data in the real world is usaully complex and cannot be generalized by an inflexible method(underfitting), so, flexible methods generally perform well. Though our goal should always be to find the sweet spot between the $bias^{2}$ and variance tradeoff which minimizes the training error and the distance between the training and test error, going with a highly flexible method can lead to overfitting wherein our model does better during training but fails to generalize.\n", + "\n", + "(a)A flexible method will perform better here, Since the amount of data is large, chances of noise even in case of simple relationships are large, an inflexible method in this case will fail to capture the features of the data and underfit, This can also be shown using vc dimension, where a flexible method has much more capacity and can represent more combinations of data than an inflexible method and thus, will more likely converge closer to the actual function.\n", + "\n", + "(b) If the amount of data is small, then an inflexible method does better, since the flexible method can overfit the data and the noise in the data comepletely, and do bad at generalizing the features of the data, thus, doing bad when testing. More formally, an flexible method's vc dim is high, and much more likely to shatter the set of combinations of possible outputs with small data, so it will completley fit the data but it will not generalize well to test data.\n", + "\n", + "(c) If the relationship is already highly non linear to begin with, then an flexible method will do well, since highly non linear functions are flexible and complex in nature, and thus can't be represented by an inflexible method" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/assMath/ass2B/shorya/Untitled.ipynb b/assMath/ass2B/shorya/Untitled.ipynb new file mode 100644 index 0000000..f5ec1b0 --- /dev/null +++ b/assMath/ass2B/shorya/Untitled.ipynb @@ -0,0 +1,858 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "e54ff7fa", + "metadata": {}, + "source": [ + "Q1)(a)\n", + "\n", + "We try to estimate the mean of p(y|x), since this minimizes the mean squared error of our predicitons w.r.to the true value of y.\n", + "\n", + "Let the our prediciton be h, then MSE=$(Y-h)^{2}$.\n", + "\n", + "E[$(Y-h)^{2}$|x]=E[$(Y-u+u-h)^{2}$|x], where u=E[Y|x]\n", + "\n", + "=>E[$(Y-u)^{2}$|x]+E[$(u-h)^{2}$|x]+E[$(Y-u)(u-h)$|x]\n", + "\n", + "Since the 3rd term is zero and 2nd term is greater than zero.\n", + "\n", + "E[$(Y-h)^{2}$|x]$\\geq$E[$(Y-u)^{2}$|x]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "35fb2edc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[12. 14. 16.]\n", + "[13. 15. 17.]\n" + ] + } + ], + "source": [ + "#Q.1)(b)\n", + "import numpy as np\n", + "\n", + "class linear_regression:\n", + " def __init__(self):\n", + " self.weights = None\n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " self.weights = np.linalg.inv(X.T @ X) @ X.T @ y\n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred = X @ self.weights\n", + " return y_pred\n", + "\n", + "regressor = linear_regression()\n", + "\n", + "#y=2*x\n", + "X = np.array([[1], [2], [3], [4], [5]])\n", + "y = np.array([2, 4, 6, 8, 10])\n", + "\n", + "regressor.fit(X, y)\n", + "\n", + "X_test = np.array([[6], [7], [8]])\n", + "y_pred = regressor.predict(X_test)\n", + "\n", + "print(y_pred)\n", + "\n", + "#y=2*x+1\n", + "\n", + "X = np.array([[1], [2], [3], [4], [5]])\n", + "y = np.array([3, 5, 7, 9, 11])\n", + "\n", + "regressor.fit(X, y)\n", + "\n", + "X_test = np.array([[6], [7], [8]])\n", + "y_pred = regressor.predict(X_test)\n", + "\n", + "print(y_pred)\n" + ] + }, + { + "cell_type": "markdown", + "id": "21e2bbde", + "metadata": {}, + "source": [ + "When we model p(y|x) as a normal with mean w*x and stdev=I, then our answer which is the expectation is w*x, i.e. E[y|x]=w*x.\n", + "\n", + "To find the weights, we take the maximum likelihood estimate of the gaussian which is nothing but maximimzing the negative log of the gaussian.\n", + "\n", + "p(y|x)=$\\frac{1}{\\sqrt{2\\pi}\\sigma}e^{-\\frac{(y-u)^{2}}{2\\sigma^{2}}}$\n", + "\n", + "=>-log(p(y|x))=$log(\\sqrt{2\\pi}\\sigma)$+$\\frac{(y-u)^{2}}{2\\sigma^{2}}$\n", + "\n", + "So, maximizing taking sigma as I and maximizing this for u, involves minimzing the least squares term since the first term is independent of u, so the we get the value of weights as w=$(X^{T}X)^{-1}X^{T}Y$\n", + "\n", + "### Parameterizing sigma\n", + "Since,the choice of σ does not directly affect the estimation of weights in linear regression, it doesn't affect our output,but it plays a significant role in influencing the model's confidence or uncertainty in its predictions." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c6cf0f55", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "dedef773", + "metadata": {}, + "source": [ + "Q1)(c)\n", + "\n", + "An exponential family is represnted as follows:\n", + "\n", + "p(y;n)=b(y)$e^{n^{T}T(y)-A(n)}$\n", + "\n", + "where y=Data,n=natural paramter,T(y)=sufficient statistic(usaully taken as y),b(y)=base measure,A(n)=log-partition\n", + "\n", + "Also dimension of y and n should match obviously.\n", + "\n", + "So, I will consider a bernoulli distribution, p(y;a)=$a^{y}(1-a)^{1-y}$\n", + "\n", + "This can be written as p(y;a)=$(\\frac{a}{1-a})^{y}(1-a)$\n", + "=> $e^{ylog(\\frac{a}{1-a})+log(1-a)}$\n", + "\n", + "So,b(y)=1,T(y)=y,$n=log(\\frac{a}{1-a})$,A(n)=log(1-a),n=natural parameter\n", + "\n", + "So,a=$\\frac{1}{1+e^{-n}}$\n", + "\n", + "\n", + "So,A(n)=log(1+$e^{n}$)\n", + "\n", + "So,Using a generalized linear model on bernoulli for binary classfication, we have to use the following assumptions:\n", + "\n", + "1)y|x;w-bernoulli(n)\n", + "\n", + "2)n=$w^{T}$x\n", + "\n", + "3)During testing, our predicition will be E[y|X=x;w], which according to properties of exp families is the partial derivative of A(n) w.r.to n which will be our hypothesis function h(x;w) which gives h(x;w)=$\\frac{1}{1+e^{-n}}$\n", + "\n", + "### So, what we are trying to estimate is the E[y|X=x;w] as modelled by the bernoulli.\n", + "\n", + "So, we will build a binary classfication model commonly known as logistic regression, where p(y=1|x;w)=h(x;w)\n", + "and p(y=-1|x;w)=1-h(x;w) where h(x;w)=$\\frac{1}{1+e^{-n}}$ and n=w*x\n", + "\n", + "### Loss function\n", + "This involves maximizing the log of p(y|x;w).\n", + "\n", + "So, log(p(y|x;w))= ylog(a)+(1-y)log(1-a) where a=$\\frac{1}{1+e^{-n}}$ and n=w*x\n", + "\n", + "So, taking the partial derivative w.r.to w we get,=>$\\frac{y*a*(1-a)*x}{a}-\\frac{(1-y)*a*(1-a)*x}{1-a}$\n", + "\n", + "=> (y(1-a)-(1-y)a)x\n", + "\n", + "=>(y-a)x\n", + "\n", + "So, we need to the update rule w->w+$\\alpha\\frac{\\sum{(y-a)x}}{n}$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "id": "f0acc4b7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0, 1, 1]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import math\n", + "\n", + "class logistic_regression:\n", + " def __init__(self,learning_rate,threshold,batch_size):\n", + " self.weights = None\n", + " self.alpha=learning_rate\n", + " self.threshold=threshold\n", + " self.n=batch_size\n", + " \n", + " def a(self,w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + " \n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " i=0\n", + " self.weights=np.zeros(X[0].size)\n", + " for k in range(math.floor(X.shape[0]/self.n)):\n", + " update=0\n", + " for j in range(self.n):\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " i+=1\n", + " update*=self.alpha\n", + " update/=self.n\n", + " self.weights+=update\n", + " for k in range(i,X.shape[0]):\n", + " update=0\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " i+=1\n", + " update*=self.alpha\n", + " update/=(X.shape[0]-math.floor(X.shape[0]/self.n)*self.n)\n", + " self.weights+=update\n", + " \n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred=[]\n", + " for i in range(X.shape[0]):\n", + " y_pred.append(self.a(self.weights,X[i]))\n", + " if(y_pred[i]>=self.threshold): y_pred[i]=1\n", + " else: y_pred[i]=0\n", + " return y_pred\n", + " \n", + "#binary classification on numbers based on sign where positive is 1 and negative is 0\n", + "\n", + "regressor = logistic_regression(0.1,0.5,10)\n", + "\n", + "X=[]\n", + "y=[]\n", + "for x in range(-103,103,1):\n", + " X.append([x])\n", + " if(x>=0):y.append(1)\n", + " else:y.append(0)\n", + "X=np.array(X)\n", + "y=np.array(y)\n", + "\n", + "regressor.fit(X, y)\n", + "\n", + "X_test=np.array([[-1],[50],[1000]])\n", + "y_pred = regressor.predict(X_test)\n", + "\n", + "print(y_pred)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6588a82f", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 102, + "id": "bcdeeb6f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'AA': 22.25770734371538, 'AB': 2.561655052276653, 'AC': 0.06245723680329383, 'BA': 32.73219379378796, 'BB': 5.039251499565334e-25, 'BC': 2.614081412966965, 'CA': 16.15674668223581, 'CB': 15.774197648433677, 'CC': 5.699794881411253}\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Q.2)\n", + "\n", + "import numpy as np\n", + "import csv\n", + "import sklearn\n", + "from sklearn.metrics import mean_squared_error\n", + "import matplotlib.pyplot as plt\n", + "from sklearn.linear_model import LinearRegression\n", + " \n", + "with open('train_set_A.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_train_A=[]\n", + " Y_train_A=[]\n", + " for row in csvreader:\n", + " X_train_A.append([float(row[0])])\n", + " Y_train_A.append(float(row[1]))\n", + "X_train_A=np.array(X_train_A)\n", + "Y_train_A=np.array(Y_train_A)\n", + "\n", + "with open('train_set_B.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_train_B=[]\n", + " Y_train_B=[]\n", + " for row in csvreader:\n", + " X_train_B.append([float(row[0])])\n", + " Y_train_B.append(float(row[1]))\n", + "X_train_B=np.array(X_train_B)\n", + "Y_train_B=np.array(Y_train_B)\n", + "\n", + "with open('train_set_C.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_train_C=[]\n", + " Y_train_C=[]\n", + " for row in csvreader:\n", + " X_train_C.append([float(row[0])])\n", + " Y_train_C.append(float(row[1]))\n", + "X_train_C=np.array(X_train_C)\n", + "Y_train_C=np.array(Y_train_C)\n", + "\n", + "regressorA = LinearRegression()\n", + "regressorB = LinearRegression()\n", + "regressorC = LinearRegression()\n", + "\n", + "regressorA.fit(X_train_A,Y_train_A)\n", + "regressorB.fit(X_train_B,Y_train_B)\n", + "regressorC.fit(X_train_C,Y_train_C)\n", + "\n", + "with open('test_set_A.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_test_A=[]\n", + " Y_test_A=[]\n", + " for row in csvreader:\n", + " X_test_A.append([float(row[0])])\n", + " Y_test_A.append(float(row[1]))\n", + "X_test_A=np.array(X_test_A)\n", + "Y_test_A=np.array(Y_test_A)\n", + "\n", + "with open('test_set_B.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_test_B=[]\n", + " Y_test_B=[]\n", + " for row in csvreader:\n", + " X_test_B.append([float(row[0])])\n", + " Y_test_B.append(float(row[1]))\n", + "X_test_B=np.array(X_test_B)\n", + "Y_test_B=np.array(Y_test_B)\n", + "\n", + "with open('test_set_C.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_test_C=[]\n", + " Y_test_C=[]\n", + " for row in csvreader:\n", + " X_test_C.append([float(row[0])])\n", + " Y_test_C.append(float(row[1]))\n", + "X_test_C=np.array(X_test_C)\n", + "Y_test_C=np.array(Y_test_C)\n", + "\n", + "Y_AA=regressorA.predict(X_test_A)\n", + "Y_AB=regressorA.predict(X_test_B)\n", + "Y_AC=regressorA.predict(X_test_C)\n", + "Y_BA=regressorB.predict(X_test_A)\n", + "Y_BB=regressorB.predict(X_test_B)\n", + "Y_BC=regressorB.predict(X_test_C)\n", + "Y_CA=regressorC.predict(X_test_A)\n", + "Y_CB=regressorC.predict(X_test_B)\n", + "Y_CC=regressorC.predict(X_test_C)\n", + "\n", + "Y_mse={}\n", + "Y_mse[\"AA\"]=mean_squared_error(Y_test_A,Y_AA)\n", + "Y_mse[\"AB\"]=mean_squared_error(Y_test_B,Y_AB)\n", + "Y_mse[\"AC\"]=mean_squared_error(Y_test_C,Y_AC)\n", + "Y_mse[\"BA\"]=mean_squared_error(Y_test_A,Y_BA)\n", + "Y_mse[\"BB\"]=mean_squared_error(Y_test_B,Y_BB)\n", + "Y_mse[\"BC\"]=mean_squared_error(Y_test_C,Y_BC)\n", + "Y_mse[\"CA\"]=mean_squared_error(Y_test_A,Y_CA)\n", + "Y_mse[\"CB\"]=mean_squared_error(Y_test_B,Y_CB)\n", + "Y_mse[\"CC\"]=mean_squared_error(Y_test_C,Y_CC)\n", + "\n", + "print(Y_mse)\n", + "plt.bar(Y_mse.keys(), Y_mse.values(), color='b')" + ] + }, + { + "cell_type": "markdown", + "id": "a6623463", + "metadata": {}, + "source": [ + "From the MSE data it is evident that B is the acutal data for both train and test.\n", + "\n", + "Now, we will observe the deviation of train and test sets of A and C from B." + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "id": "02530d22", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.072440152071144\n", + "16.163588590175024\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 123, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.metrics import mean_absolute_error\n", + "import statistics as st\n", + "Z=Y_test_A.size\n", + "#A_test\n", + "E_A_X=[]\n", + "E_A_Y=[]\n", + "for i in range(Z):\n", + " E_A_X.append(X_test_A[i])\n", + " E_A_Y.append(abs(Y_test_A[i]-Y_test_B[i]))\n", + " \n", + "print(st.mean(E_A_Y))\n", + "print(st.variance(E_A_Y))\n", + "plt.scatter(E_A_X,E_A_Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "id": "1f9904e4", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.5973892469176583\n", + "0.06249149829630468\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 124, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import statistics as st\n", + "#C_test\n", + "E_C_X=[]\n", + "E_C_Y=[]\n", + "for i in range(Z):\n", + " E_C_X.append(X_test_C[i])\n", + " E_C_Y.append(abs(Y_test_C[i]-Y_test_B[i]))\n", + "print(st.mean(E_C_Y))\n", + "print(st.variance(E_C_Y))\n", + "plt.scatter(E_C_X,E_C_Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 146, + "id": "339152cb", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.9999853189818153\n", + "16.146120393997833\n" + ] + }, + { + "data": { + "text/plain": [ + "(array([481., 251., 128., 62., 33., 23., 13., 5., 2., 2.]),\n", + " array([1.64809231e-03, 2.62513895e+00, 5.24862982e+00, 7.87212068e+00,\n", + " 1.04956115e+01, 1.31191024e+01, 1.57425933e+01, 1.83660841e+01,\n", + " 2.09895750e+01, 2.36130659e+01, 2.62365567e+01]),\n", + " )" + ] + }, + "execution_count": 146, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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AAIA5BAoAADCHQAEAAOYQKAAAwBwCBQAAmEOgAAAAcwgUAABgDoECAADMIVAAAIA5BAoAADAnpUCpr6/XrbfeqtzcXI0ePVr33HOPPvjgg6Q1zjnV1tYqHA5r6NChmjJlio4dO5a0JpFIaPny5Ro5cqSGDx+uOXPm6NSpU9f+agAAwKCQUqA0NTVp6dKlOnDggBobG/X555+rsrJSZ86c8dZs2LBBGzdu1JYtW3Tw4EGFQiFNnz5dXV1d3ppIJKLdu3eroaFB+/fvV3d3t2bNmqVz58713ysDAAAZy+ecc1f74H//+98aPXq0mpqadMcdd8g5p3A4rEgkogcffFDSf6+WBINBPfroo1q0aJFisZhGjRqlnTt3av78+ZKkjz/+WIWFhdq7d69mzJhx2X83Ho8rEAgoFospLy/vase/pBtX7+n350RfJ9bPTPcIAICvUCo/v6/pPSixWEySlJ+fL0lqbW1VNBpVZWWlt8bv92vy5Mlqbm6WJLW0tOjs2bNJa8LhsEpKSrw1F0okEorH40kbAAAYvK46UJxzWrFihW6//XaVlJRIkqLRqCQpGAwmrQ0Gg9590WhUOTk5GjFixCXXXKi+vl6BQMDbCgsLr3ZsAACQAa46UJYtW6Z3331Xzz//fJ/7fD5f0m3nXJ99F/qyNWvWrFEsFvO2tra2qx0bAABkgKsKlOXLl+uVV17Rm2++qbFjx3r7Q6GQJPW5EtLR0eFdVQmFQurt7VVnZ+cl11zI7/crLy8vaQMAAINXSoHinNOyZcv04osv6o033lBRUVHS/UVFRQqFQmpsbPT29fb2qqmpSRUVFZKksrIyZWdnJ61pb2/X0aNHvTUAAOD6lpXK4qVLl2rXrl16+eWXlZub610pCQQCGjp0qHw+nyKRiOrq6lRcXKzi4mLV1dVp2LBhWrBggbd24cKFWrlypQoKCpSfn6+amhqVlpZq2rRp/f8KAQBAxkkpUJ544glJ0pQpU5L2P/3003rggQckSatWrVJPT4+WLFmizs5OlZeXa9++fcrNzfXWb9q0SVlZWZo3b556eno0depUbd++XUOGDLm2VwMAAAaFa/oelHThe1AGB74HBQCuL1/Z96AAAAAMBAIFAACYQ6AAAABzCBQAAGAOgQIAAMwhUAAAgDkECgAAMIdAAQAA5hAoAADAHAIFAACYQ6AAAABzCBQAAGAOgQIAAMwhUAAAgDkECgAAMIdAAQAA5hAoAADAHAIFAACYQ6AAAABzCBQAAGAOgQIAAMwhUAAAgDkECgAAMIdAAQAA5hAoAADAHAIFAACYQ6AAAABzCBQAAGAOgQIAAMwhUAAAgDkECgAAMIdAAQAA5hAoAADAHAIFAACYQ6AAAABzCBQAAGAOgQIAAMwhUAAAgDkECgAAMIdAAQAA5hAoAADAHAIFAACYQ6AAAABzCBQAAGAOgQIAAMwhUAAAgDlZ6R4A168bV+9J9wgpO7F+ZrpHAIDrAldQAACAOQQKAAAwh0ABAADmECgAAMAcAgUAAJhDoAAAAHMIFAAAYA6BAgAAzCFQAACAOQQKAAAwh0ABAADmECgAAMAcAgUAAJhDoAAAAHMIFAAAYE7KgfL2229r9uzZCofD8vl8eumll5Lud86ptrZW4XBYQ4cO1ZQpU3Ts2LGkNYlEQsuXL9fIkSM1fPhwzZkzR6dOnbqmFwIAAAaPlAPlzJkzmjBhgrZs2XLR+zds2KCNGzdqy5YtOnjwoEKhkKZPn66uri5vTSQS0e7du9XQ0KD9+/eru7tbs2bN0rlz567+lQAAgEEjK9UHVFVVqaqq6qL3Oee0efNmrV27VnPnzpUk7dixQ8FgULt27dKiRYsUi8X01FNPaefOnZo2bZok6dlnn1VhYaFef/11zZgx4xpeDgAAGAz69T0ora2tikajqqys9Pb5/X5NnjxZzc3NkqSWlhadPXs2aU04HFZJSYm35kKJRELxeDxpAwAAg1e/Bko0GpUkBYPBpP3BYNC7LxqNKicnRyNGjLjkmgvV19crEAh4W2FhYX+ODQAAjBmQT/H4fL6k2865Pvsu9GVr1qxZo1gs5m1tbW39NisAALCnXwMlFApJUp8rIR0dHd5VlVAopN7eXnV2dl5yzYX8fr/y8vKSNgAAMHj1a6AUFRUpFAqpsbHR29fb26umpiZVVFRIksrKypSdnZ20pr29XUePHvXWAACA61vKn+Lp7u7Whx9+6N1ubW3V4cOHlZ+fr3HjxikSiaiurk7FxcUqLi5WXV2dhg0bpgULFkiSAoGAFi5cqJUrV6qgoED5+fmqqalRaWmp96keAABwfUs5UA4dOqQ777zTu71ixQpJUnV1tbZv365Vq1app6dHS5YsUWdnp8rLy7Vv3z7l5uZ6j9m0aZOysrI0b9489fT0aOrUqdq+fbuGDBnSDy8JAABkOp9zzqV7iFTF43EFAgHFYrEBeT/Kjav39PtzYnA4sX5mukcAgIyVys9v/hYPAAAwh0ABAADmECgAAMAcAgUAAJhDoAAAAHMIFAAAYA6BAgAAzCFQAACAOQQKAAAwh0ABAADmECgAAMAcAgUAAJhDoAAAAHMIFAAAYA6BAgAAzCFQAACAOQQKAAAwh0ABAADmECgAAMAcAgUAAJhDoAAAAHOy0j0AkEluXL0n3SOk7MT6mekeAQBSxhUUAABgDoECAADMIVAAAIA5BAoAADCHQAEAAOYQKAAAwBwCBQAAmEOgAAAAcwgUAABgDoECAADMIVAAAIA5BAoAADCHQAEAAOYQKAAAwBwCBQAAmEOgAAAAcwgUAABgDoECAADMIVAAAIA5BAoAADAnK90DABhYN67ek+4RUnZi/cx0jwAgzbiCAgAAzCFQAACAOQQKAAAwh0ABAADmECgAAMAcAgUAAJjDx4wBmMNHowFwBQUAAJhDoAAAAHMIFAAAYA6BAgAAzCFQAACAOQQKAAAwh0ABAADm8D0oANAPMvG7WyS+vwV2cQUFAACYQ6AAAABzCBQAAGAOgQIAAMxJa6Bs3bpVRUVFuuGGG1RWVqZ33nknneMAAAAj0vYpnhdeeEGRSERbt27VT37yE/3lL39RVVWV3nvvPY0bNy5dYwHAdSUTP33EJ4+uD2m7grJx40YtXLhQv/71r/X9739fmzdvVmFhoZ544ol0jQQAAIxIyxWU3t5etbS0aPXq1Un7Kysr1dzc3Gd9IpFQIpHwbsdiMUlSPB4fkPnOJz4dkOcFAFy7cf/vf9I9wnXh6MMz+v05v/i57Zy77Nq0BMonn3yic+fOKRgMJu0PBoOKRqN91tfX1+vhhx/us7+wsHDAZgQA4HoW2Dxwz93V1aVAIPCla9L6TbI+ny/ptnOuzz5JWrNmjVasWOHdPn/+vP7zn/+ooKDgouuvRTweV2Fhodra2pSXl9evz30947gODI7rwOC4DgyO68DIpOPqnFNXV5fC4fBl16YlUEaOHKkhQ4b0uVrS0dHR56qKJPn9fvn9/qR93/jGNwZyROXl5Zn/H52JOK4Dg+M6MDiuA4PjOjAy5bhe7srJF9LyJtmcnByVlZWpsbExaX9jY6MqKirSMRIAADAkbb/iWbFihe6//35NnDhRkyZN0rZt23Ty5EktXrw4XSMBAAAj0hYo8+fP1+nTp/X73/9e7e3tKikp0d69ezV+/Ph0jSTpv79OWrduXZ9fKeHacFwHBsd1YHBcBwbHdWAM1uPqc1fyWR8AAICvEH+LBwAAmEOgAAAAcwgUAABgDoECAADMIVD+j61bt6qoqEg33HCDysrK9M4776R7pIxWW1srn8+XtIVCoXSPlXHefvttzZ49W+FwWD6fTy+99FLS/c451dbWKhwOa+jQoZoyZYqOHTuWnmEzyOWO6wMPPNDn/L3tttvSM2wGqa+v16233qrc3FyNHj1a99xzjz744IOkNZyzqbuS4zrYzlkC5X+98MILikQiWrt2rf7xj3/opz/9qaqqqnTy5Ml0j5bRbr75ZrW3t3vbkSNH0j1Sxjlz5owmTJigLVu2XPT+DRs2aOPGjdqyZYsOHjyoUCik6dOnq6ur6yueNLNc7rhK0s9+9rOk83fv3r1f4YSZqampSUuXLtWBAwfU2Niozz//XJWVlTpz5oy3hnM2dVdyXKVBds46OOec+/GPf+wWL16ctO973/ueW716dZomynzr1q1zEyZMSPcYg4okt3v3bu/2+fPnXSgUcuvXr/f2ffbZZy4QCLg///nPaZgwM114XJ1zrrq62t19991pmWcw6ejocJJcU1OTc45ztr9ceFydG3znLFdQJPX29qqlpUWVlZVJ+ysrK9Xc3JymqQaH48ePKxwOq6ioSL/4xS/0z3/+M90jDSqtra2KRqNJ567f79fkyZM5d/vBW2+9pdGjR+s73/mOfvOb36ijoyPdI2WcWCwmScrPz5fEOdtfLjyuXxhM5yyBIumTTz7RuXPn+vyhwmAw2OcPGuLKlZeX65lnntFrr72mJ598UtFoVBUVFTp9+nS6Rxs0vjg/OXf7X1VVlZ577jm98cYbeuyxx3Tw4EHdddddSiQS6R4tYzjntGLFCt1+++0qKSmRxDnbHy52XKXBd86m7avuLfL5fEm3nXN99uHKVVVVef9dWlqqSZMm6Vvf+pZ27NihFStWpHGywYdzt//Nnz/f+++SkhJNnDhR48eP1549ezR37tw0TpY5li1bpnfffVf79+/vcx/n7NW71HEdbOcsV1AkjRw5UkOGDOlT7x0dHX0qH1dv+PDhKi0t1fHjx9M9yqDxxaeiOHcH3pgxYzR+/HjO3yu0fPlyvfLKK3rzzTc1duxYbz/n7LW51HG9mEw/ZwkUSTk5OSorK1NjY2PS/sbGRlVUVKRpqsEnkUjo/fff15gxY9I9yqBRVFSkUCiUdO729vaqqamJc7efnT59Wm1tbZy/l+Gc07Jly/Tiiy/qjTfeUFFRUdL9nLNX53LH9WIy/ZzlVzz/a8WKFbr//vs1ceJETZo0Sdu2bdPJkye1ePHidI+WsWpqajR79myNGzdOHR0deuSRRxSPx1VdXZ3u0TJKd3e3PvzwQ+92a2urDh8+rPz8fI0bN06RSER1dXUqLi5WcXGx6urqNGzYMC1YsCCNU9v3Zcc1Pz9ftbW1uvfeezVmzBidOHFCDz30kEaOHKmf//znaZzavqVLl2rXrl16+eWXlZub610pCQQCGjp0qHw+H+fsVbjcce3u7h5852waP0FkzuOPP+7Gjx/vcnJy3I9+9KOkj28hdfPnz3djxoxx2dnZLhwOu7lz57pjx46le6yM8+abbzpJfbbq6mrn3H8/trlu3ToXCoWc3+93d9xxhzty5Eh6h84AX3ZcP/30U1dZWelGjRrlsrOz3bhx41x1dbU7efJkusc272LHVJJ7+umnvTWcs6m73HEdjOeszznnvsogAgAAuBzegwIAAMwhUAAAgDkECgAAMIdAAQAA5hAoAADAHAIFAACYQ6AAAABzCBQAAGAOgQIAAMwhUAAAgDkECgAAMIdAAQAA5vx/58xnPdpxaVEAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import statistics as st\n", + "#C_train\n", + "E_C_X=[]\n", + "E_C_Y=[]\n", + "for i in range(Z):\n", + " E_C_X.append(X_train_C[i])\n", + " E_C_Y.append(abs(Y_train_C[i]-Y_train_B[i]))\n", + "print(st.mean(E_C_Y))\n", + "print(st.variance(E_C_Y))\n", + "plt.hist(E_C_Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 142, + "id": "6a6066a4", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.5967922155987488\n", + "0.06254955280734474\n" + ] + }, + { + "data": { + "text/plain": [ + "(array([ 9., 40., 84., 148., 215., 231., 144., 89., 30., 10.]),\n", + " array([0.88268606, 1.02616359, 1.16964111, 1.31311864, 1.45659616,\n", + " 1.60007369, 1.74355121, 1.88702874, 2.03050626, 2.17398379,\n", + " 2.31746131]),\n", + " )" + ] + }, + "execution_count": 142, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import statistics as st\n", + "#A_train\n", + "E_A_X=[]\n", + "E_A_Y=[]\n", + "for i in range(Z):\n", + " E_A_X.append(X_train_A[i])\n", + " E_A_Y.append(abs(Y_train_A[i]-Y_train_B[i]))\n", + "print(st.mean(E_A_Y))\n", + "print(st.variance(E_A_Y))\n", + "plt.hist(E_A_Y)" + ] + }, + { + "cell_type": "markdown", + "id": "f6dc5de9", + "metadata": {}, + "source": [ + "As we can see the distribution of A train is close to C test and C train is close to A test, as for the distributions we can see that C_train is the exponential(4) since the variance is square of mean and histogram shows this and A_train is a gaussian with paramaters roughly (1.6,0.625)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d988b892", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 363, + "id": "fa7cd340", + "metadata": {}, + "outputs": [], + "source": [ + "#Q3\n", + "import numpy as np\n", + "import math\n", + "import time\n", + "\n", + "class logistic_regression_grad:\n", + " def __init__(self,learning_rate,threshold):\n", + " self.weights = None\n", + " self.alpha=learning_rate\n", + " self.threshold=threshold\n", + " \n", + " def a(self,w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + " \n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " self.weights=np.zeros(X[0].size)\n", + " update=[1e9]*X[0].size\n", + " itr=0\n", + " start=time.time()\n", + " while(abs(sum(update)/X[0].size)>2*1e-5):\n", + " update=0\n", + " for i in range(X.shape[0]):\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " update/=X.shape[0]\n", + " update*=self.alpha\n", + " self.weights+=update\n", + " itr+=1\n", + " end=time.time()\n", + " return itr,end-start\n", + " \n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred=[]\n", + " for i in range(X.shape[0]):\n", + " y_pred.append(self.a(self.weights,X[i]))\n", + " if(y_pred[i]>=self.threshold): y_pred[i]=1\n", + " else: y_pred[i]=0\n", + " return y_pred\n", + " \n", + "class logistic_regression_fisher:\n", + " def __init__(self,threshold):\n", + " self.weights = None\n", + " self.threshold=threshold\n", + " \n", + " def a(self,w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + " \n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " self.weights=np.zeros(X[0].size)\n", + " update=[-1e9]*X[0].size\n", + " itr=0\n", + " start=time.time()\n", + " while(abs(sum(update)/X[0].size)>2*1e-5):\n", + " update=0\n", + " for i in range(X.shape[0]):\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " update/=X.shape[0]\n", + " update=np.array(update)\n", + " hessian=np.zeros((X[0].size,X[0].size))\n", + " for i in range(X.shape[0]):\n", + " d=self.a(self.weights,X[i])\n", + " d=d*(1-d)\n", + " hessian+=d*np.outer(X[i],X[i])\n", + " hessian/=X.shape[0]\n", + " if(hessian.max()==0):break\n", + " update=np.dot(np.linalg.inv(hessian),update)\n", + " self.weights-=update\n", + " itr+=1\n", + " end=time.time()\n", + " return itr,end-start\n", + " \n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred=[]\n", + " for i in range(X.shape[0]):\n", + " y_pred.append(self.a(self.weights,X[i]))\n", + " if(y_pred[i]>=self.threshold): y_pred[i]=1\n", + " else: y_pred[i]=0\n", + " return y_pred\n", + " \n", + "def a(w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + "\n", + "#Generating the dataset\n", + "def dataset(dim, points):\n", + " x=np.random.normal(0,1/math.sqrt(points), (points,dim))\n", + " fac = np.random.normal(0, 1/math.sqrt(points), (dim,1))\n", + " y = np.random.binomial(1, a(x,fac))\n", + " \n", + " return x, y\n", + "X_train,Y_train=dataset(10,100)\n", + "X_test,Y_test=dataset(10,10)" + ] + }, + { + "cell_type": "code", + "execution_count": 364, + "id": "b27c0255", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\shory\\AppData\\Local\\Temp\\ipykernel_6560\\1686702027.py:47: RuntimeWarning: overflow encountered in exp\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n" + ] + } + ], + "source": [ + "regressor_grad=logistic_regression_grad(0.1,0.5)\n", + "regressor_fish=logistic_regression_fisher(0.5)\n", + "\n", + "itr_grad,time_grad=regressor_grad.fit(X_train,Y_train)\n", + "itr_fish,time_fish=regressor_fish.fit(X_train,Y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 365, + "id": "267c3a6e", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "65 0.1314859390258789\n", + "6 0.018940448760986328\n" + ] + } + ], + "source": [ + "print(itr_grad,time_grad)\n", + "print(itr_fish,time_fish)" + ] + }, + { + "cell_type": "code", + "execution_count": 366, + "id": "a0dc2527", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7 6\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\shory\\AppData\\Local\\Temp\\ipykernel_6560\\1686702027.py:47: RuntimeWarning: overflow encountered in exp\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n" + ] + } + ], + "source": [ + "Y_test_grad=regressor_grad.predict(X_test)\n", + "Y_test_fish=regressor_fish.predict(X_test)\n", + "\n", + "acc_grad=0\n", + "acc_fish=0\n", + "for i in range(Y_test.size):\n", + " if(Y_test[i]==Y_test_grad[i]):acc_grad+=1\n", + " if(Y_test[i]==Y_test_fish[i]):acc_fish+=1\n", + "print(acc_grad,acc_fish)" + ] + }, + { + "cell_type": "markdown", + "id": "2b592113", + "metadata": {}, + "source": [ + "Well as we can the model have similar accuracy obviously for same threshold for stopping training, But if we compare the number of iterations, needed fisher method needs less than grad descent, this is obvious since, fisher method has quadratic convergence while grad desecent has linear order convergence, but the tradeoff is that the runtime and memory overhead of Fisher/NR method per iteration is more than grad descent since we need to compute the hessian, so the order of operations in grad descent is O($n^{2}$) while in Fisher it is O($n^{3}$)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f9ba982a", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "3b47e549", + "metadata": {}, + "source": [ + "Q4)\n", + "\n", + "A flexible method usually has less assumptions i.e low bias and high vairance eg-decision trees, whereas an inflexible method has a high bias and low variance eg-linear regression. As to which method performs better depends on the specific task and shouldn't be judged in advance, but generally speaking data in the real world is usaully complex and cannot be generalized by an inflexible method(underfitting), so, flexible methods generally perform well. Though our goal should always be to find the sweet spot between the $bias^{2}$ and variance tradeoff which minimizes the training error and the distance between the training and test error, going with a highly flexible method can lead to overfitting wherein our model does better during training but fails to generalize.\n", + "\n", + "(a)A flexible method will perform better here, Since the amount of data is large, chances of noise even in case of simple relationships are large, an inflexible method in this case will fail to capture the features of the data and underfit, This can also be shown using vc dimension, where a flexible method has much more capacity and can represent more combinations of data than an inflexible method and thus, will more likely converge closer to the actual function.\n", + "\n", + "(b) If the amount of data is small, then an inflexible method does better, since the flexible method can overfit the data and the noise in the data comepletely, and do bad at generalizing the features of the data, thus, doing bad when testing. More formally, an flexible method's vc dim is high, and much more likely to shatter the set of combinations of possible outputs with small data, so it will completley fit the data but it will not generalize well to test data.\n", + "\n", + "(c) If the relationship is already highly non linear to begin with, then an flexible method will do well, since highly non linear functions are flexible and complex in nature, and thus can't be represented by an inflexible method" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/assMath/ass2B/shorya/ass2B_solutions_shorya.ipynb b/assMath/ass2B/shorya/ass2B_solutions_shorya.ipynb new file mode 100644 index 0000000..adf8ef4 --- /dev/null +++ b/assMath/ass2B/shorya/ass2B_solutions_shorya.ipynb @@ -0,0 +1,858 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "a255f777", + "metadata": {}, + "source": [ + "Q1)(a)\n", + "\n", + "We try to estimate the mean of p(y|x), since this minimizes the mean squared error of our predicitons w.r.to the true value of y.\n", + "\n", + "Let the our prediciton be h, then MSE=$(Y-h)^{2}$.\n", + "\n", + "E[$(Y-h)^{2}$|x]=E[$(Y-u+u-h)^{2}$|x], where u=E[Y|x]\n", + "\n", + "=>E[$(Y-u)^{2}$|x]+E[$(u-h)^{2}$|x]+E[$(Y-u)(u-h)$|x]\n", + "\n", + "Since the 3rd term is zero and 2nd term is greater than zero.\n", + "\n", + "E[$(Y-h)^{2}$|x]$\\geq$E[$(Y-u)^{2}$|x]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "752ef5f6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[12. 14. 16.]\n", + "[13. 15. 17.]\n" + ] + } + ], + "source": [ + "#Q.1)(b)\n", + "import numpy as np\n", + "\n", + "class linear_regression:\n", + " def __init__(self):\n", + " self.weights = None\n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " self.weights = np.linalg.inv(X.T @ X) @ X.T @ y\n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred = X @ self.weights\n", + " return y_pred\n", + "\n", + "regressor = linear_regression()\n", + "\n", + "#y=2*x\n", + "X = np.array([[1], [2], [3], [4], [5]])\n", + "y = np.array([2, 4, 6, 8, 10])\n", + "\n", + "regressor.fit(X, y)\n", + "\n", + "X_test = np.array([[6], [7], [8]])\n", + "y_pred = regressor.predict(X_test)\n", + "\n", + "print(y_pred)\n", + "\n", + "#y=2*x+1\n", + "\n", + "X = np.array([[1], [2], [3], [4], [5]])\n", + "y = np.array([3, 5, 7, 9, 11])\n", + "\n", + "regressor.fit(X, y)\n", + "\n", + "X_test = np.array([[6], [7], [8]])\n", + "y_pred = regressor.predict(X_test)\n", + "\n", + "print(y_pred)\n" + ] + }, + { + "cell_type": "markdown", + "id": "84c7f966", + "metadata": {}, + "source": [ + "When we model p(y|x) as a normal with mean w*x and stdev=I, then our answer which is the expectation is w*x, i.e. E[y|x]=w*x.\n", + "\n", + "To find the weights, we take the maximum likelihood estimate of the gaussian which is nothing but maximimzing the negative log of the gaussian.\n", + "\n", + "p(y|x)=$\\frac{1}{\\sqrt{2\\pi}\\sigma}e^{-\\frac{(y-u)^{2}}{2\\sigma^{2}}}$\n", + "\n", + "=>-log(p(y|x))=$log(\\sqrt{2\\pi}\\sigma)$+$\\frac{(y-u)^{2}}{2\\sigma^{2}}$\n", + "\n", + "So, maximizing taking sigma as I and maximizing this for u, involves minimzing the least squares term since the first term is independent of u, so the we get the value of weights as w=$(X^{T}X)^{-1}X^{T}Y$\n", + "\n", + "### Parameterizing sigma\n", + "Since,the choice of σ does not directly affect the estimation of weights in linear regression, it doesn't affect our output,but it plays a significant role in influencing the model's confidence or uncertainty in its predictions." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cba8c564", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "f37af32a", + "metadata": {}, + "source": [ + "Q1)(c)\n", + "\n", + "An exponential family is represnted as follows:\n", + "\n", + "p(y;n)=b(y)$e^{n^{T}T(y)-A(n)}$\n", + "\n", + "where y=Data,n=natural paramter,T(y)=sufficient statistic(usaully taken as y),b(y)=base measure,A(n)=log-partition\n", + "\n", + "Also dimension of y and n should match obviously.\n", + "\n", + "So, I will consider a bernoulli distribution, p(y;a)=$a^{y}(1-a)^{1-y}$\n", + "\n", + "This can be written as p(y;a)=$(\\frac{a}{1-a})^{y}(1-a)$\n", + "=> $e^{ylog(\\frac{a}{1-a})+log(1-a)}$\n", + "\n", + "So,b(y)=1,T(y)=y,$n=log(\\frac{a}{1-a})$,A(n)=log(1-a),n=natural parameter\n", + "\n", + "So,a=$\\frac{1}{1+e^{-n}}$\n", + "\n", + "\n", + "So,A(n)=log(1+$e^{n}$)\n", + "\n", + "So,Using a generalized linear model on bernoulli for binary classfication, we have to use the following assumptions:\n", + "\n", + "1)y|x;w-bernoulli(n)\n", + "\n", + "2)n=$w^{T}$x\n", + "\n", + "3)During testing, our predicition will be E[y|X=x;w], which according to properties of exp families is the partial derivative of A(n) w.r.to n which will be our hypothesis function h(x;w) which gives h(x;w)=$\\frac{1}{1+e^{-n}}$\n", + "\n", + "### So, what we are trying to estimate is the E[y|X=x;w] as modelled by the bernoulli.\n", + "\n", + "So, we will build a binary classfication model commonly known as logistic regression, where p(y=1|x;w)=h(x;w)\n", + "and p(y=-1|x;w)=1-h(x;w) where h(x;w)=$\\frac{1}{1+e^{-n}}$ and n=w*x\n", + "\n", + "### Loss function\n", + "This involves maximizing the log of p(y|x;w).\n", + "\n", + "So, log(p(y|x;w))= ylog(a)+(1-y)log(1-a) where a=$\\frac{1}{1+e^{-n}}$ and n=w*x\n", + "\n", + "So, taking the partial derivative w.r.to w we get,=>$\\frac{y*a*(1-a)*x}{a}-\\frac{(1-y)*a*(1-a)*x}{1-a}$\n", + "\n", + "=> (y(1-a)-(1-y)a)x\n", + "\n", + "=>(y-a)x\n", + "\n", + "So, we need to the update rule w->w+$\\alpha\\frac{\\sum{(y-a)x}}{n}$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "id": "034fec8b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0, 1, 1]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import math\n", + "\n", + "class logistic_regression:\n", + " def __init__(self,learning_rate,threshold,batch_size):\n", + " self.weights = None\n", + " self.alpha=learning_rate\n", + " self.threshold=threshold\n", + " self.n=batch_size\n", + " \n", + " def a(self,w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + " \n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " i=0\n", + " self.weights=np.zeros(X[0].size)\n", + " for k in range(math.floor(X.shape[0]/self.n)):\n", + " update=0\n", + " for j in range(self.n):\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " i+=1\n", + " update*=self.alpha\n", + " update/=self.n\n", + " self.weights+=update\n", + " for k in range(i,X.shape[0]):\n", + " update=0\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " i+=1\n", + " update*=self.alpha\n", + " update/=(X.shape[0]-math.floor(X.shape[0]/self.n)*self.n)\n", + " self.weights+=update\n", + " \n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred=[]\n", + " for i in range(X.shape[0]):\n", + " y_pred.append(self.a(self.weights,X[i]))\n", + " if(y_pred[i]>=self.threshold): y_pred[i]=1\n", + " else: y_pred[i]=0\n", + " return y_pred\n", + " \n", + "#binary classification on numbers based on sign where positive is 1 and negative is 0\n", + "\n", + "regressor = logistic_regression(0.1,0.5,10)\n", + "\n", + "X=[]\n", + "y=[]\n", + "for x in range(-103,103,1):\n", + " X.append([x])\n", + " if(x>=0):y.append(1)\n", + " else:y.append(0)\n", + "X=np.array(X)\n", + "y=np.array(y)\n", + "\n", + "regressor.fit(X, y)\n", + "\n", + "X_test=np.array([[-1],[50],[1000]])\n", + "y_pred = regressor.predict(X_test)\n", + "\n", + "print(y_pred)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "116e8fd7", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 102, + "id": "f4f11f86", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'AA': 22.25770734371538, 'AB': 2.561655052276653, 'AC': 0.06245723680329383, 'BA': 32.73219379378796, 'BB': 5.039251499565334e-25, 'BC': 2.614081412966965, 'CA': 16.15674668223581, 'CB': 15.774197648433677, 'CC': 5.699794881411253}\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Q.2)\n", + "\n", + "import numpy as np\n", + "import csv\n", + "import sklearn\n", + "from sklearn.metrics import mean_squared_error\n", + "import matplotlib.pyplot as plt\n", + "from sklearn.linear_model import LinearRegression\n", + " \n", + "with open('train_set_A.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_train_A=[]\n", + " Y_train_A=[]\n", + " for row in csvreader:\n", + " X_train_A.append([float(row[0])])\n", + " Y_train_A.append(float(row[1]))\n", + "X_train_A=np.array(X_train_A)\n", + "Y_train_A=np.array(Y_train_A)\n", + "\n", + "with open('train_set_B.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_train_B=[]\n", + " Y_train_B=[]\n", + " for row in csvreader:\n", + " X_train_B.append([float(row[0])])\n", + " Y_train_B.append(float(row[1]))\n", + "X_train_B=np.array(X_train_B)\n", + "Y_train_B=np.array(Y_train_B)\n", + "\n", + "with open('train_set_C.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_train_C=[]\n", + " Y_train_C=[]\n", + " for row in csvreader:\n", + " X_train_C.append([float(row[0])])\n", + " Y_train_C.append(float(row[1]))\n", + "X_train_C=np.array(X_train_C)\n", + "Y_train_C=np.array(Y_train_C)\n", + "\n", + "regressorA = LinearRegression()\n", + "regressorB = LinearRegression()\n", + "regressorC = LinearRegression()\n", + "\n", + "regressorA.fit(X_train_A,Y_train_A)\n", + "regressorB.fit(X_train_B,Y_train_B)\n", + "regressorC.fit(X_train_C,Y_train_C)\n", + "\n", + "with open('test_set_A.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_test_A=[]\n", + " Y_test_A=[]\n", + " for row in csvreader:\n", + " X_test_A.append([float(row[0])])\n", + " Y_test_A.append(float(row[1]))\n", + "X_test_A=np.array(X_test_A)\n", + "Y_test_A=np.array(Y_test_A)\n", + "\n", + "with open('test_set_B.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_test_B=[]\n", + " Y_test_B=[]\n", + " for row in csvreader:\n", + " X_test_B.append([float(row[0])])\n", + " Y_test_B.append(float(row[1]))\n", + "X_test_B=np.array(X_test_B)\n", + "Y_test_B=np.array(Y_test_B)\n", + "\n", + "with open('test_set_C.csv','r') as csvfile:\n", + " csvreader = csv.reader(csvfile)\n", + " fields = next(csvreader)\n", + " X_test_C=[]\n", + " Y_test_C=[]\n", + " for row in csvreader:\n", + " X_test_C.append([float(row[0])])\n", + " Y_test_C.append(float(row[1]))\n", + "X_test_C=np.array(X_test_C)\n", + "Y_test_C=np.array(Y_test_C)\n", + "\n", + "Y_AA=regressorA.predict(X_test_A)\n", + "Y_AB=regressorA.predict(X_test_B)\n", + "Y_AC=regressorA.predict(X_test_C)\n", + "Y_BA=regressorB.predict(X_test_A)\n", + "Y_BB=regressorB.predict(X_test_B)\n", + "Y_BC=regressorB.predict(X_test_C)\n", + "Y_CA=regressorC.predict(X_test_A)\n", + "Y_CB=regressorC.predict(X_test_B)\n", + "Y_CC=regressorC.predict(X_test_C)\n", + "\n", + "Y_mse={}\n", + "Y_mse[\"AA\"]=mean_squared_error(Y_test_A,Y_AA)\n", + "Y_mse[\"AB\"]=mean_squared_error(Y_test_B,Y_AB)\n", + "Y_mse[\"AC\"]=mean_squared_error(Y_test_C,Y_AC)\n", + "Y_mse[\"BA\"]=mean_squared_error(Y_test_A,Y_BA)\n", + "Y_mse[\"BB\"]=mean_squared_error(Y_test_B,Y_BB)\n", + "Y_mse[\"BC\"]=mean_squared_error(Y_test_C,Y_BC)\n", + "Y_mse[\"CA\"]=mean_squared_error(Y_test_A,Y_CA)\n", + "Y_mse[\"CB\"]=mean_squared_error(Y_test_B,Y_CB)\n", + "Y_mse[\"CC\"]=mean_squared_error(Y_test_C,Y_CC)\n", + "\n", + "print(Y_mse)\n", + "plt.bar(Y_mse.keys(), Y_mse.values(), color='b')" + ] + }, + { + "cell_type": "markdown", + "id": "9a897fde", + "metadata": {}, + "source": [ + "From the MSE data it is evident that B is the acutal data for both train and test.\n", + "\n", + "Now, we will observe the deviation of train and test sets of A and C from B." + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "id": "493c93cf", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.072440152071144\n", + "16.163588590175024\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 123, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.metrics import mean_absolute_error\n", + "import statistics as st\n", + "Z=Y_test_A.size\n", + "#A_test\n", + "E_A_X=[]\n", + "E_A_Y=[]\n", + "for i in range(Z):\n", + " E_A_X.append(X_test_A[i])\n", + " E_A_Y.append(abs(Y_test_A[i]-Y_test_B[i]))\n", + " \n", + "print(st.mean(E_A_Y))\n", + "print(st.variance(E_A_Y))\n", + "plt.scatter(E_A_X,E_A_Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "id": "bd398b1f", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.5973892469176583\n", + "0.06249149829630468\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 124, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import statistics as st\n", + "#C_test\n", + "E_C_X=[]\n", + "E_C_Y=[]\n", + "for i in range(Z):\n", + " E_C_X.append(X_test_C[i])\n", + " E_C_Y.append(abs(Y_test_C[i]-Y_test_B[i]))\n", + "print(st.mean(E_C_Y))\n", + "print(st.variance(E_C_Y))\n", + "plt.scatter(E_C_X,E_C_Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 146, + "id": "0c63403b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.9999853189818153\n", + "16.146120393997833\n" + ] + }, + { + "data": { + "text/plain": [ + "(array([481., 251., 128., 62., 33., 23., 13., 5., 2., 2.]),\n", + " array([1.64809231e-03, 2.62513895e+00, 5.24862982e+00, 7.87212068e+00,\n", + " 1.04956115e+01, 1.31191024e+01, 1.57425933e+01, 1.83660841e+01,\n", + " 2.09895750e+01, 2.36130659e+01, 2.62365567e+01]),\n", + " )" + ] + }, + "execution_count": 146, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import statistics as st\n", + "#C_train\n", + "E_C_X=[]\n", + "E_C_Y=[]\n", + "for i in range(Z):\n", + " E_C_X.append(X_train_C[i])\n", + " E_C_Y.append(abs(Y_train_C[i]-Y_train_B[i]))\n", + "print(st.mean(E_C_Y))\n", + "print(st.variance(E_C_Y))\n", + "plt.hist(E_C_Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 142, + "id": "b8864f8e", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.5967922155987488\n", + "0.06254955280734474\n" + ] + }, + { + "data": { + "text/plain": [ + "(array([ 9., 40., 84., 148., 215., 231., 144., 89., 30., 10.]),\n", + " array([0.88268606, 1.02616359, 1.16964111, 1.31311864, 1.45659616,\n", + " 1.60007369, 1.74355121, 1.88702874, 2.03050626, 2.17398379,\n", + " 2.31746131]),\n", + " )" + ] + }, + "execution_count": 142, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import statistics as st\n", + "#A_train\n", + "E_A_X=[]\n", + "E_A_Y=[]\n", + "for i in range(Z):\n", + " E_A_X.append(X_train_A[i])\n", + " E_A_Y.append(abs(Y_train_A[i]-Y_train_B[i]))\n", + "print(st.mean(E_A_Y))\n", + "print(st.variance(E_A_Y))\n", + "plt.hist(E_A_Y)" + ] + }, + { + "cell_type": "markdown", + "id": "c52531d0", + "metadata": {}, + "source": [ + "As we can see the distribution of A train is close to C test and C train is close to A test, as for the distributions we can see that C_train is the exponential(4) since the variance is square of mean and histogram shows this and A_train is a gaussian with paramaters roughly (1.6,0.625)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "528f50cd", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 363, + "id": "e395a6d5", + "metadata": {}, + "outputs": [], + "source": [ + "#Q3\n", + "import numpy as np\n", + "import math\n", + "import time\n", + "\n", + "class logistic_regression_grad:\n", + " def __init__(self,learning_rate,threshold):\n", + " self.weights = None\n", + " self.alpha=learning_rate\n", + " self.threshold=threshold\n", + " \n", + " def a(self,w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + " \n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " self.weights=np.zeros(X[0].size)\n", + " update=[1e9]*X[0].size\n", + " itr=0\n", + " start=time.time()\n", + " while(abs(sum(update)/X[0].size)>2*1e-5):\n", + " update=0\n", + " for i in range(X.shape[0]):\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " update/=X.shape[0]\n", + " update*=self.alpha\n", + " self.weights+=update\n", + " itr+=1\n", + " end=time.time()\n", + " return itr,end-start\n", + " \n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred=[]\n", + " for i in range(X.shape[0]):\n", + " y_pred.append(self.a(self.weights,X[i]))\n", + " if(y_pred[i]>=self.threshold): y_pred[i]=1\n", + " else: y_pred[i]=0\n", + " return y_pred\n", + " \n", + "class logistic_regression_fisher:\n", + " def __init__(self,threshold):\n", + " self.weights = None\n", + " self.threshold=threshold\n", + " \n", + " def a(self,w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + " \n", + " def fit(self,X,y):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " self.weights=np.zeros(X[0].size)\n", + " update=[-1e9]*X[0].size\n", + " itr=0\n", + " start=time.time()\n", + " while(abs(sum(update)/X[0].size)>2*1e-5):\n", + " update=0\n", + " for i in range(X.shape[0]):\n", + " update+=(y[i]-self.a(self.weights,X[i]))*X[i]\n", + " update/=X.shape[0]\n", + " update=np.array(update)\n", + " hessian=np.zeros((X[0].size,X[0].size))\n", + " for i in range(X.shape[0]):\n", + " d=self.a(self.weights,X[i])\n", + " d=d*(1-d)\n", + " hessian+=d*np.outer(X[i],X[i])\n", + " hessian/=X.shape[0]\n", + " if(hessian.max()==0):break\n", + " update=np.dot(np.linalg.inv(hessian),update)\n", + " self.weights-=update\n", + " itr+=1\n", + " end=time.time()\n", + " return itr,end-start\n", + " \n", + " def predict(self,X):\n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " y_pred=[]\n", + " for i in range(X.shape[0]):\n", + " y_pred.append(self.a(self.weights,X[i]))\n", + " if(y_pred[i]>=self.threshold): y_pred[i]=1\n", + " else: y_pred[i]=0\n", + " return y_pred\n", + " \n", + "def a(w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + "\n", + "#Generating the dataset\n", + "def dataset(dim, points):\n", + " x=np.random.normal(0,1/math.sqrt(points), (points,dim))\n", + " fac = np.random.normal(0, 1/math.sqrt(points), (dim,1))\n", + " y = np.random.binomial(1, a(x,fac))\n", + " \n", + " return x, y\n", + "X_train,Y_train=dataset(10,100)\n", + "X_test,Y_test=dataset(10,10)" + ] + }, + { + "cell_type": "code", + "execution_count": 364, + "id": "ef8da7ce", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\shory\\AppData\\Local\\Temp\\ipykernel_6560\\1686702027.py:47: RuntimeWarning: overflow encountered in exp\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n" + ] + } + ], + "source": [ + "regressor_grad=logistic_regression_grad(0.1,0.5)\n", + "regressor_fish=logistic_regression_fisher(0.5)\n", + "\n", + "itr_grad,time_grad=regressor_grad.fit(X_train,Y_train)\n", + "itr_fish,time_fish=regressor_fish.fit(X_train,Y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 365, + "id": "925d7116", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "65 0.1314859390258789\n", + "6 0.018940448760986328\n" + ] + } + ], + "source": [ + "print(itr_grad,time_grad)\n", + "print(itr_fish,time_fish)" + ] + }, + { + "cell_type": "code", + "execution_count": 366, + "id": "a5570e77", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7 6\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\shory\\AppData\\Local\\Temp\\ipykernel_6560\\1686702027.py:47: RuntimeWarning: overflow encountered in exp\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n" + ] + } + ], + "source": [ + "Y_test_grad=regressor_grad.predict(X_test)\n", + "Y_test_fish=regressor_fish.predict(X_test)\n", + "\n", + "acc_grad=0\n", + "acc_fish=0\n", + "for i in range(Y_test.size):\n", + " if(Y_test[i]==Y_test_grad[i]):acc_grad+=1\n", + " if(Y_test[i]==Y_test_fish[i]):acc_fish+=1\n", + "print(acc_grad,acc_fish)" + ] + }, + { + "cell_type": "markdown", + "id": "4e7e0c9e", + "metadata": {}, + "source": [ + "Well as we can the model have similar accuracy obviously for same threshold for stopping training, But if we compare the number of iterations, needed fisher method needs less than grad descent, this is obvious since, fisher method has quadratic convergence while grad desecent has linear order convergence, but the tradeoff is that the runtime and memory overhead of Fisher/NR method per iteration is more than grad descent since we need to compute the hessian, so the order of operations in grad descent is O($n^{2}$) while in Fisher it is O($n^{3}$)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2a644522", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "bb1f0c99", + "metadata": {}, + "source": [ + "Q4)\n", + "\n", + "A flexible method usually has less assumptions i.e low bias and high vairance eg-decision trees, whereas an inflexible method has a high bias and low variance eg-linear regression. As to which method performs better depends on the specific task and shouldn't be judged in advance, but generally speaking data in the real world is usaully complex and cannot be generalized by an inflexible method(underfitting), so, flexible methods generally perform well. Though our goal should always be to find the sweet spot between the $bias^{2}$ and variance tradeoff which minimizes the training error and the distance between the training and test error, going with a highly flexible method can lead to overfitting wherein our model does better during training but fails to generalize.\n", + "\n", + "(a)A flexible method will perform better here, Since the amount of data is large, chances of noise even in case of simple relationships are large, an inflexible method in this case will fail to capture the features of the data and underfit, This can also be shown using vc dimension, where a flexible method has much more capacity and can represent more combinations of data than an inflexible method and thus, will more likely converge closer to the actual function.\n", + "\n", + "(b) If the amount of data is small, then an inflexible method does better, since the flexible method can overfit the data and the noise in the data comepletely, and do bad at generalizing the features of the data, thus, doing bad when testing. More formally, an flexible method's vc dim is high, and much more likely to shatter the set of combinations of possible outputs with small data, so it will completley fit the data but it will not generalize well to test data.\n", + "\n", + "(c) If the relationship is already highly non linear to begin with, then an flexible method will do well, since highly non linear functions are flexible and complex in nature, and thus can't be represented by an inflexible method" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/assMath/ass2B/shorya/test_set_A.csv b/assMath/ass2B/shorya/test_set_A.csv 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+323.1883826636308,1254.5454258907803 diff --git a/assMath/ass2a/shorya/.ipynb_checkpoints/Q3-checkpoint.ipynb b/assMath/ass2a/shorya/.ipynb_checkpoints/Q3-checkpoint.ipynb new file mode 100644 index 0000000..6db11a4 --- /dev/null +++ b/assMath/ass2a/shorya/.ipynb_checkpoints/Q3-checkpoint.ipynb @@ -0,0 +1,66 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 4, + "id": "456148e3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Enter the number of datapoints: 1000000\n", + "Enter the mean: 2.56\n", + "Enter the standard deviation: 1.2\n", + "The parameters from MLE for the normal are: 2.5590225411793885 and 1.4417001920006909\n" + ] + } + ], + "source": [ + "#The derivation is given in the handwritten solutions\n", + "import numpy as np\n", + "n=int(input(\"Enter the number of datapoints: \"))\n", + "mu=float(input(\"Enter the mean: \"))\n", + "sigma=float(input(\"Enter the standard deviation: \"))\n", + "data=[]\n", + "data=np.random.normal(mu, sigma, n)\n", + "mean_mle=sum(data)/n\n", + "variance_mle=0\n", + "for i in range(n):\n", + " variance_mle+=(data[i]-mean_mle)**2\n", + "variance_mle/=n\n", + "print(\"The parameters from MLE for the normal are:\",mean_mle,\"and\",variance_mle)" + ] + }, + { + "cell_type": "markdown", + "id": "b2fb48fb", + "metadata": {}, + "source": [ + "I have provided the explanation in the handwritten solutions" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/assMath/ass2a/shorya/.ipynb_checkpoints/Q4-checkpoint.ipynb b/assMath/ass2a/shorya/.ipynb_checkpoints/Q4-checkpoint.ipynb new file mode 100644 index 0000000..ce2bae6 --- /dev/null +++ b/assMath/ass2a/shorya/.ipynb_checkpoints/Q4-checkpoint.ipynb @@ -0,0 +1,109 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "e5d9ca83", + "metadata": {}, + "source": [ + "I have provided the explanantion in the handwritten solutions \n" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "05e00952", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0.00444714 0.25404008]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import math\n", + "\n", + "# Define the negative log-posterior function\n", + "def negative_log_posterior(theta, X, y, prior_mean, prior_cov):\n", + " # Compute the log-likelihood\n", + " logits = np.dot(X, theta)\n", + " likelihood = np.sum(y*logits - np.log(1 + np.exp(logits)))\n", + "\n", + " # Compute the log-prior\n", + " prior = -0.5 * np.dot((theta - prior_mean).T, np.linalg.inv(prior_cov)).dot(theta - prior_mean)\n", + "\n", + " # Compute the negative log-posterior\n", + " neg_log_posterior = - (likelihood + prior)\n", + "\n", + " return neg_log_posterior\n", + "\n", + "def sig(w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + " \n", + "def grad_descent_map(X,y,prior_mean,prior_cov,lr):\n", + " \n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " weights=np.random.normal(0, 1/math.sqrt(X.shape[0]), X.shape[1])\n", + " update=[1e9]*X[0].size\n", + " while(np.max(np.array(update))>2*1e-5):\n", + " update=0\n", + " for i in range(X.shape[0]):\n", + " update+=(y[i]-sig(weights,X[i]))*X[i]\n", + " update/=X.shape[0]\n", + " update-=np.dot((weights-prior_mean),np.linalg.inv(prior_cov))\n", + " update*=lr\n", + " weights+=update\n", + " return weights\n", + "\n", + "#Data for a model which gives 1 for +ve/zero and -1 for -ve numbers \n", + "X=[]\n", + "y=[]\n", + "for x in range(-50,50,1):\n", + " X.append([x])\n", + " if(x>=0):y.append(1)\n", + " else:y.append(0)\n", + "X=np.array(X)\n", + "y=np.array(y)\n", + "\n", + "#Assuming prior to be standard gaussian\n", + "prior_mean = np.zeros(X.shape[1]+1) \n", + "prior_cov = np.eye(X.shape[1]+1) \n", + "\n", + "result=grad_descent_map(X,y,prior_mean,prior_cov,0.05)\n", + "print(result)" + ] + }, + { + "cell_type": "markdown", + "id": "0ca293b1", + "metadata": {}, + "source": [ + "Here the first weight is b and second weight is a in ax+b" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/assMath/ass2a/shorya/Q3.ipynb b/assMath/ass2a/shorya/Q3.ipynb new file mode 100644 index 0000000..6db11a4 --- /dev/null +++ b/assMath/ass2a/shorya/Q3.ipynb @@ -0,0 +1,66 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 4, + "id": "456148e3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Enter the number of datapoints: 1000000\n", + "Enter the mean: 2.56\n", + "Enter the standard deviation: 1.2\n", + "The parameters from MLE for the normal are: 2.5590225411793885 and 1.4417001920006909\n" + ] + } + ], + "source": [ + "#The derivation is given in the handwritten solutions\n", + "import numpy as np\n", + "n=int(input(\"Enter the number of datapoints: \"))\n", + "mu=float(input(\"Enter the mean: \"))\n", + "sigma=float(input(\"Enter the standard deviation: \"))\n", + "data=[]\n", + "data=np.random.normal(mu, sigma, n)\n", + "mean_mle=sum(data)/n\n", + "variance_mle=0\n", + "for i in range(n):\n", + " variance_mle+=(data[i]-mean_mle)**2\n", + "variance_mle/=n\n", + "print(\"The parameters from MLE for the normal are:\",mean_mle,\"and\",variance_mle)" + ] + }, + { + "cell_type": "markdown", + "id": "b2fb48fb", + "metadata": {}, + "source": [ + "I have provided the explanation in the handwritten solutions" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/assMath/ass2a/shorya/Q4.ipynb b/assMath/ass2a/shorya/Q4.ipynb new file mode 100644 index 0000000..ce2bae6 --- /dev/null +++ b/assMath/ass2a/shorya/Q4.ipynb @@ -0,0 +1,109 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "e5d9ca83", + "metadata": {}, + "source": [ + "I have provided the explanantion in the handwritten solutions \n" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "05e00952", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0.00444714 0.25404008]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import math\n", + "\n", + "# Define the negative log-posterior function\n", + "def negative_log_posterior(theta, X, y, prior_mean, prior_cov):\n", + " # Compute the log-likelihood\n", + " logits = np.dot(X, theta)\n", + " likelihood = np.sum(y*logits - np.log(1 + np.exp(logits)))\n", + "\n", + " # Compute the log-prior\n", + " prior = -0.5 * np.dot((theta - prior_mean).T, np.linalg.inv(prior_cov)).dot(theta - prior_mean)\n", + "\n", + " # Compute the negative log-posterior\n", + " neg_log_posterior = - (likelihood + prior)\n", + "\n", + " return neg_log_posterior\n", + "\n", + "def sig(w,x):\n", + " return (1/(1 + np.exp(-np.dot(w,x))))\n", + " \n", + "def grad_descent_map(X,y,prior_mean,prior_cov,lr):\n", + " \n", + " X = np.concatenate((np.ones((X.shape[0], 1)), X), axis=1)\n", + " weights=np.random.normal(0, 1/math.sqrt(X.shape[0]), X.shape[1])\n", + " update=[1e9]*X[0].size\n", + " while(np.max(np.array(update))>2*1e-5):\n", + " update=0\n", + " for i in range(X.shape[0]):\n", + " update+=(y[i]-sig(weights,X[i]))*X[i]\n", + " update/=X.shape[0]\n", + " update-=np.dot((weights-prior_mean),np.linalg.inv(prior_cov))\n", + " update*=lr\n", + " weights+=update\n", + " return weights\n", + "\n", + "#Data for a model which gives 1 for +ve/zero and -1 for -ve numbers \n", + "X=[]\n", + "y=[]\n", + "for x in range(-50,50,1):\n", + " X.append([x])\n", + " if(x>=0):y.append(1)\n", + " else:y.append(0)\n", + "X=np.array(X)\n", + "y=np.array(y)\n", + "\n", + "#Assuming prior to be standard gaussian\n", + "prior_mean = np.zeros(X.shape[1]+1) \n", + "prior_cov = np.eye(X.shape[1]+1) \n", + "\n", + "result=grad_descent_map(X,y,prior_mean,prior_cov,0.05)\n", + "print(result)" + ] + }, + { + "cell_type": "markdown", + "id": "0ca293b1", + "metadata": {}, + "source": [ + "Here the first weight is b and second weight is a in ax+b" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/assMath/ass2a/shorya/ass2A_solutions_shorya.pdf b/assMath/ass2a/shorya/ass2A_solutions_shorya.pdf new file mode 100644 index 0000000..5cfcc9b Binary files /dev/null and b/assMath/ass2a/shorya/ass2A_solutions_shorya.pdf differ diff --git a/assMath/probStat/shorya/kalman_filter.py b/assMath/probStat/shorya/kalman_filter.py new file mode 100644 index 0000000..fb171d0 --- /dev/null +++ b/assMath/probStat/shorya/kalman_filter.py @@ -0,0 +1,228 @@ +# vim: expandtab:ts=4:sw=4 +import numpy as np +import scipy.linalg + + +""" +Table for the 0.95 quantile of the chi-square distribution with N degrees of +freedom (contains values for N=1, ..., 9). Taken from MATLAB/Octave's chi2inv +function and used as Mahalanobis gating threshold. +""" +### Don't change +chi2inv95 = { + 1: 3.8415, + 2: 5.9915, + 3: 7.8147, + 4: 9.4877, + 5: 11.070, + 6: 12.592, + 7: 14.067, + 8: 15.507, + 9: 16.919, +} + + +class KalmanFilter(object): + """ + A simple Kalman filter for tracking bounding boxes in image space. + + The 8-dimensional state space + + x, y, a, h, vx, vy, va, vh + + contains the bounding box center position (x, y), aspect ratio a, height h, + and their respective velocities. + + Object motion follows a constant velocity model. The bounding box location + (x, y, a, h) is taken as direct observation of the state space (linear + observation model). + + """ + + def __init__(self): + dt=1.0 + + #State Transition Matrix + self.F=np.array([[1.0,0.0,0.0,0.0,dt,0.0,0.0,0.0], + [0.0,1.0,0.0,0.0,0.0,dt,0.0,0.0], + [0.0,0.0,0.1,0.0,0.0,0.0,dt,0.0], + [0.0,0.0,0.0,1.0,0.0,0.0,0.0,dt], + [0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0], + [0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0], + [0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0], + [0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0]]) + + #Measurement Matrix + self.H=np.array([[1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0], + [0.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0], + [0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0], + [0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0]]) + + + # Create Kalman filter model matrices. + ##ADD code + # Motion and observation uncertainty are chosen relative to the current + # state estimate. These weights control the amount of uncertainty in + # the model. This is a bit hacky. +##ADD code + self.position_weight=0.2 + self.velocity_weight=0.2 + + def initiate(self, measurement): + """Create track from unassociated measurement. + + Parameters + ---------- + measurement : ndarray + Bounding box coordinates (x, y, a, h) with center position (x, y), + aspect ratio a, and height h. + + Returns + ------- + (ndarray, ndarray) + Returns the mean vector (8 dimensional) and covariance matrix (8x8 + dimensional) of the new track. Unobserved velocities are initialized + to 0 mean. + + """ + #State covariance matrix + covariance=np.diag([1000.0,1000.0,1000.0,1000.0,1000.0,1000.0,1000.0,1000.0]) + mean=measurement + mean=np.append(mean,np.zeros(4,dtype=float)) + cov_factor=10 + for i in range(4): + covariance[i][i]=mean[i]*cov_factor*self.position_weight + for i in range(4,8): + covariance[i][i]=mean[i]*cov_factor*self.velocity_weight +##ADD code + return mean, covariance + + def predict(self, mean, covariance): + """Run Kalman filter prediction step. + + Parameters + ---------- + mean : ndarray + The 8 dimensional mean vector of the object state at the previous + time step. + covariance : ndarray + The 8x8 dimensional covariance matrix of the object state at the + previous time step. + + Returns + ------- + (ndarray, ndarray) + Returns the mean vector and covariance matrix of the predicted + state. Unobserved velocities are initialized to 0 mean. + + """ +##ADD code + Q=np.zeros(8) + for i in range(4): + Q[i]=mean[i]*self.position_weight + for i in range(4,8,1): + Q[i]=mean[i]*self.velocity_weight + Q=np.diag(Q) + mean=np.dot(mean,self.F) + covariance=np.dot(np.dot(self.F,covariance),self.F.T)+Q + return mean, covariance + + def project(self, mean, covariance): + """Project state distribution to measurement space. + + Parameters + ---------- + mean : ndarray + The state's mean vector (8 dimensional array). + covariance : ndarray + The state's covariance matrix (8x8 dimensional). + + Returns + ------- + (ndarray, ndarray) + Returns the projected mean and covariance matrix of the given state + estimate. + + """ +##ADD code + R=np.zeros(4) + for i in range(4): + R[i]=mean[i]*self.position_weight + R=np.diag(R) + mean=np.dot(mean,self.H) + covariance=np.dot(np.dot(self.H,covariance),self.H.T)+R + return mean, covariance + + def update(self, mean, covariance, measurement): + """Run Kalman filter correction step. + + Parameters + ---------- + mean : ndarray + The predicted state's mean vector (8 dimensional). + covariance : ndarray + The state's covariance matrix (8x8 dimensional). + measurement : ndarray + The 4 dimensional measurement vector (x, y, a, h), where (x, y) + is the center position, a the aspect ratio, and h the height of the + bounding box. + + Returns + ------- + (ndarray, ndarray) + Returns the measurement-corrected state distribution. + + """ +##ADD code + R=np.zeros(4) + for i in range(4): + R[i]=mean[i]*self.position_weight + R=np.diag(R) + K=np.dot(np.dot(covariance,self.H.T),np.linalg.inv(np.dot(np.dot(self.H,covariance),self.H.T)+R)) + new_mean=mean+np.dot(K,measurement-np.dot(self.H,mean)) + factor=np.identity(8)-np.dot(K,self.H) + new_covariance=np.dot(np.dot(factor,covariance),factor.T)+np.dot(np.dot(K,R),K.T) + return new_mean, new_covariance + + def gating_distance(self, mean, covariance, measurements, only_position=False): + """Compute gating distance between state distribution and measurements. + + A suitable distance threshold can be obtained from `chi2inv95`. If + `only_position` is False, the chi-square distribution has 4 degrees of + freedom, otherwise 2. + + Parameters + ---------- + mean : ndarray + Mean vector over the state distribution (8 dimensional). + covariance : ndarray + Covariance of the state distribution (8x8 dimensional). + measurements : ndarray + An Nx4 dimensional matrix of N measurements, each in + format (x, y, a, h) where (x, y) is the bounding box center + position, a the aspect ratio, and h the height. + only_position : Optional[bool] + If True, distance computation is done with respect to the bounding + box center position only. + + Returns + ------- + ndarray + Returns an array of length N, where the i-th element contains the + squared Mahalanobis distance between (mean, covariance) and + `measurements[i]`. + + """ + ### Don't change anything + mean, covariance = self.project(mean, covariance) + if only_position: + mean, covariance = mean[:2], covariance[:2, :2] + measurements = measurements[:, :2] + + cholesky_factor = np.linalg.cholesky(covariance) + d = measurements - mean + z = scipy.linalg.solve_triangular( + cholesky_factor, d.T, lower=True, check_finite=False, overwrite_b=True + ) + squared_maha = np.sum(z * z, axis=0) + return squared_maha diff --git a/assMath/probStat/shorya/probstats_solutions.pdf b/assMath/probStat/shorya/probstats_solutions.pdf new file mode 100644 index 0000000..a7de841 Binary files /dev/null and b/assMath/probStat/shorya/probstats_solutions.pdf differ diff --git a/assMath/probStat/shorya/shorya_kalman_recording.mp4 b/assMath/probStat/shorya/shorya_kalman_recording.mp4 new file mode 100644 index 0000000..822ba0c Binary files /dev/null and b/assMath/probStat/shorya/shorya_kalman_recording.mp4 differ diff --git a/shorya/kaggle_challenge/.ipynb_checkpoints/supervised_learning-checkpoint.ipynb b/shorya/kaggle_challenge/.ipynb_checkpoints/supervised_learning-checkpoint.ipynb new file mode 100644 index 0000000..13e8695 --- /dev/null +++ b/shorya/kaggle_challenge/.ipynb_checkpoints/supervised_learning-checkpoint.ipynb @@ -0,0 +1,1383 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "id": "6ccadc80", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "6053a804", + "metadata": {}, + "outputs": [], + "source": [ + "def dataset(filename):\n", + " df=pd.read_csv(filename)\n", + " if(\"raw\" in filename):\n", + " df[\"phase\"]=df[\"phase\"].replace([\"Rest\",\"Preparation\",\"Stroke\",\"Hold\",\"Retraction\",\"Preparação\"],['D','P','S','H','R','P'])\n", + " else:\n", + " df.columns=[\"vlhx\",\"vlhy\",\"vlhz\",\"vrhx\",\"vrhy\",\"vrhz\",\"vlwx\",\"vlwy\",\"vlwz\",\"vrwx\",\"vrwy\",\"vrwz\",\"alhx\",\"alhy\",\"alhz\",\"arhx\",\"arhy\",\"arhz\",\"alwx\",\"alwy\",\"alwz\",\"arwx\",\"arwy\",\"arwz\",\"svlh\",\"svrh\",\"svlw\",\"svrw\",\"salh\",\"sarh\",\"salw\",\"sarw\",\"phase\"]\n", + " data[filename]=df\n", + " print(np.any(pd.isna(df)))\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "bed19819", + "metadata": {}, + "outputs": [], + "source": [ + "files=[\"a1_raw.csv\",\"a1_va3.csv\",\"a2_raw.csv\",\"a3_raw.csv\",\"a3_va3.csv\",\"b1_raw.csv\",\"b1_va3.csv\",\"b3_raw.csv\",\"b3_va3.csv\",\"c1_raw.csv\",\"c1_va3.csv\",\"c3_raw.csv\",\"c3_va3.csv\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "793f806b", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n" + ] + } + ], + "source": [ + "data={}\n", + "for x in files:\n", + " dataset(x)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "9940dd51", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['D' 'P' 'S' 'H' 'R']\n", + "['D' 'P' 'S' 'H' 'R']\n", + "['D' 'P' 'S' 'R' 'H']\n", + "['D' 'P' 'S' 'R' 'H']\n", + "['D' 'P' 'S' 'R' 'H']\n", + "['D' 'P' 'H' 'S' 'R']\n", + "['D' 'P' 'H' 'S' 'R']\n", + "['D' 'P' 'H' 'S' 'R']\n", + "['D' 'P' 'H' 'S' 'R']\n", + "['D' 'P' 'S' 'H' 'R']\n", + "['D' 'P' 'S' 'H' 'R']\n", + "['D' 'P' 'S' 'H' 'R']\n", + "['D' 'P' 'S' 'H' 'R']\n" + ] + } + ], + "source": [ + "for x in data.keys():\n", + " print(data[x]['phase'].unique())" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "fd102b9d", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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0.000573 0.003459 0.000730 0.000332 0.000012 0.000433 D \n", + "2 0.000452 0.003261 0.002412 0.000852 0.000042 0.000202 D \n", + "3 0.000493 0.001358 0.000313 0.000611 0.000029 0.000596 D \n", + "4 0.000325 0.001713 0.000203 0.000069 0.000038 0.000069 D \n", + "\n", + "[5 rows x 33 columns]" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[files[1]].head()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "cd7c1073", + "metadata": {}, + "outputs": [], + "source": [ + "from numpy import sqrt\n", + "def plot_col(target_column,data):\n", + " fig = plt.figure(figsize=(10,5))\n", + " sns.distplot(data.loc[data[\"phase\"] == 'D'][target_column], \n", + " kde_kws={\"label\": \"Rest\"});\n", + " sns.distplot(data.loc[data[\"phase\"] == 'P'][target_column], \n", + " kde_kws={\"label\": \"preparation\"});\n", + " sns.distplot(data.loc[data[\"phase\"] == 'S'][target_column], \n", + " kde_kws={\"label\": \"stroke\"});\n", + " sns.distplot(data.loc[data[\"phase\"] == 'H'][target_column], \n", + " kde_kws={\"label\": \"hold\"});\n", + " sns.distplot(data.loc[data[\"phase\"] == 'R'][target_column], \n", + " kde_kws={\"label\": \"retraction\"});\n", + " plt.legend()\n", + " plt.show()\n", + "def plot_col2(target_column1,target_column2,data):\n", + " fig = plt.figure(figsize=(10,5))\n", + " sns.distplot(sqrt(data.loc[data[\"phase\"] == 'D'][target_column1]**2+data.loc[data[\"phase\"] == 'D'][target_column1]**2), \n", + " kde_kws={\"label\": \"Rest\"});\n", + " sns.distplot(sqrt(data.loc[data[\"phase\"] == 'P'][target_column1]**2+data.loc[data[\"phase\"] == 'P'][target_column1]**2), \n", + " kde_kws={\"label\": \"preparation\"});\n", + " sns.distplot(sqrt(data.loc[data[\"phase\"] == 'S'][target_column1]**2+data.loc[data[\"phase\"] == 'S'][target_column1]**2), \n", + " kde_kws={\"label\": \"stroke\"});\n", + " sns.distplot(sqrt(data.loc[data[\"phase\"] == 'H'][target_column1]**2+data.loc[data[\"phase\"] == 'H'][target_column1]**2), \n", + " kde_kws={\"label\": \"hold\"});\n", + " sns.distplot(sqrt(data.loc[data[\"phase\"] == 'R'][target_column1]**2+data.loc[data[\"phase\"] == 'R'][target_column1]**2), \n", + " kde_kws={\"label\": \"retraction\"});\n", + " plt.legend()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "849760ac", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import warnings\n", + "warnings.filterwarnings('ignore')\n", + "plot_col(\"salh\",data[files[1]])\n", + "plot_col(\"sarh\",data[files[1]])\n", + "plot_col2(\"salh\",\"sarh\",data[files[1]])" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "edce9476", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1. 0.98158834]\n", + " [0.98158834 1. ]]\n", + "[[1. 0.97121475]\n", + " [0.97121475 1. ]]\n", + "[[1. 0.98460886]\n", + " [0.98460886 1. ]]\n", + "[[1. 0.98680447]\n", + " [0.98680447 1. ]]\n" + ] + } + ], + "source": [ + "from numpy import cbrt\n", + "print(np.corrcoef(cbrt(data[files[1]]['vlhz']**2+data[files[1]]['vlhy']**2+data[files[1]]['vlhx']**2),data[files[1]]['svlh']))\n", + "print(np.corrcoef(cbrt(data[files[4]]['vlhz']**2+data[files[4]]['vlhy']**2+data[files[4]]['vlhx']**2),data[files[4]]['svlh']))\n", + "print(np.corrcoef(cbrt(data[files[6]]['vlhz']**2+data[files[6]]['vlhy']**2+data[files[6]]['vlhx']**2),data[files[6]]['svlh']))\n", + "print(np.corrcoef(cbrt(data[files[8]]['vlhz']**2+data[files[8]]['vlhy']**2+data[files[8]]['vlhx']**2),data[files[8]]['svlh']))" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "id": "d01f0a52", + "metadata": {}, + "outputs": [], + "source": [ + "#running something quick and dirty\n", + "from sklearn.preprocessing import OneHotEncoder\n", + "from sklearn.multiclass import OneVsRestClassifier\n", + "from sklearn.multiclass import OneVsOneClassifier\n", + "from sklearn.metrics import confusion_matrix\n", + "from sklearn.model_selection import train_test_split\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.decomposition import PCA\n", + "from sklearn.preprocessing import MinMaxScaler\n", + "\n", + "def resampler(dataset):\n", + " max_count=dataset['phase'].value_counts().max()\n", + " min_count=dataset['phase'].value_counts().min()\n", + " df=[]\n", + " for x in dataset['phase'].unique():\n", + " df.append(dataset[dataset['phase']==x])\n", + " dataset = dataset.iloc[0:0]\n", + " for x in df:\n", + " x=x.sample(max_count,replace=True)\n", + " dataset= pd.concat([dataset,x],axis=0)\n", + " \n", + " return dataset\n", + " \n", + " \n", + "def modelfitter(model,data,method,data_form,drop_file=None,csv_files=files,return_model=0,resample=0):\n", + " dataset=pd.DataFrame()\n", + " for x in csv_files:\n", + " if data_form in x:\n", + " dataset=pd.concat([dataset,data[x]],axis=0)\n", + " dataset.reset_index(inplace = True)\n", + " dataset.drop(['index'],axis=1,inplace=True)\n", + " X=dataset\n", + " y=dataset[\"phase\"]\n", + " X.drop(['phase'],axis=1,inplace=True)\n", + " if data_form=='raw':\n", + " X.drop(['timestamp'],axis=1,inplace=True)\n", + " if data_form=='va' and drop_file is not None:\n", + " for column in drop_file:\n", + " X.drop([column],axis=1,inplace=True)\n", + " \n", + " scaler=StandardScaler()\n", + " scaler.fit(X)\n", + " X=scaler.transform(X)\n", + " print(pd.DataFrame(X).mean())\n", + " train_indices,test_indices = train_test_split(pd.DataFrame(X).index.sort_values(), test_size=0.2, random_state=42)\n", + " X_train=[]\n", + " X_test=[]\n", + " y_train=[]\n", + " y_test=[]\n", + " for x in pd.DataFrame(X).index.sort_values():\n", + " if x in train_indices:\n", + " X_train.append(X[x])\n", + " y_train.append(y[x])\n", + " else:\n", + " X_test.append(X[x])\n", + " y_test.append(y[x])\n", + " X_train=pd.DataFrame(X_train)\n", + " y_train=pd.DataFrame(y_train,columns=['phase'])\n", + " X_test=pd.DataFrame(X_test)\n", + " y_test=pd.DataFrame(y_test,columns=['phase'])\n", + " \n", + " if resample==1:\n", + " df=pd.merge(y_train,X_train, left_index=True, right_index=True)\n", + " df=resampler(df)\n", + " y_train=df[\"phase\"]\n", + " X_train=df\n", + " X_train.drop(['phase'],axis=1,inplace=True)\n", + " \n", + " if method=='onevsone':\n", + " model=OneVsOneClassifier(model)\n", + " elif method=='onevsrest':\n", + " model=OneVsRestClassifier(model)\n", + " \n", + " y_train=y_train.replace(['D','H','R','P','S'],[0,1,2,3,4])\n", + " model.fit(X_train,y_train)\n", + " result=model.predict(X_test)\n", + " \n", + " y_test=y_test.replace(['D','H','R','P','S'],[0,1,2,3,4])\n", + " score=confusion_matrix(y_test,result)\n", + " print(score)\n", + " print(np.trace(score)/np.sum(score))\n", + " \n", + " if return_model:\n", + " return model" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "3451ee4c", + "metadata": {}, + "outputs": [], + "source": [ + "drop_file=[]" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "e6423bdb", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "ename": "KeyboardInterrupt", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m~\\AppData\\Local\\Temp\\ipykernel_19512\\2599261481.py\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0msklearn\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msvm\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mSVC\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[0mmodel\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mSVC\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mkernel\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'rbf'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mgamma\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'scale'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mclass_weight\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'balanced'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[0mmodelfitter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mdata\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m\"onevsone\"\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'raw'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 4\u001b[0m \u001b[0mmodelfitter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mdata\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m\"onevsrest\"\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'raw'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 5\u001b[0m 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842\u001b[1;33m \u001b[0mY\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdecision_function\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mX\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 843\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mn_classes_\u001b[0m \u001b[1;33m==\u001b[0m \u001b[1;36m2\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 844\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mclasses_\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mY\u001b[0m \u001b[1;33m>\u001b[0m \u001b[1;36m0\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mastype\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mint\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\sklearn\\multiclass.py\u001b[0m in \u001b[0;36mdecision_function\u001b[1;34m(self, X)\u001b[0m\n\u001b[0;32m 882\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 883\u001b[0m predictions = np.vstack(\n\u001b[1;32m--> 884\u001b[1;33m \u001b[1;33m[\u001b[0m\u001b[0mest\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpredict\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mXi\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mest\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mXi\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mzip\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mestimators_\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mXs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 885\u001b[0m ).T\n\u001b[0;32m 886\u001b[0m confidences = np.vstack(\n", + "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\sklearn\\multiclass.py\u001b[0m in 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\u001b[0;36m_dense_predict\u001b[1;34m(self, X)\u001b[0m\n\u001b[0;32m 433\u001b[0m \u001b[0msvm_type\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mLIBSVM_IMPL\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mindex\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_impl\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 434\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 435\u001b[1;33m return libsvm.predict(\n\u001b[0m\u001b[0;32m 436\u001b[0m \u001b[0mX\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 437\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msupport_\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;31mKeyboardInterrupt\u001b[0m: " + ] + } + ], + "source": [ + "from sklearn.svm import SVC\n", + "model=SVC(kernel='rbf',gamma='scale',class_weight='balanced')\n", + "modelfitter(model,data,\"onevsone\",'raw')\n", + "modelfitter(model,data,\"onevsrest\",'raw')\n", + "modelfitter(model,data,\"onevsone\",'va',drop_file)\n", + "modelfitter(model,data,\"onevsrest\",'va',drop_file)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9e4dbad1", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.svm import SVC\n", + "model=SVC(kernel='poly',degree=2,gamma='scale',class_weight='balanced')\n", + "modelfitter(model,data,\"onevsone\",'raw')\n", + "modelfitter(model,data,\"onevsrest\",'raw')\n", + "modelfitter(model,data,\"onevsone\",'va',drop_file)\n", + "modelfitter(model,data,\"onevsrest\",'va',drop_file)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "239d9617", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.linear_model import LogisticRegression\n", + "softReg = LogisticRegression(class_weight='balanced',multi_class = 'multinomial', solver = 'lbfgs')\n", + "modelfitter(model,data,\"multi\",'raw')\n", + "modelfitter(model,data,\"multi\",'va',drop_file)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "77db0e30", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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Up9iyZQsjRoxods9QKMQ111zDnj17WLlyJVlZWbz++ut88Ytf5OGHH+acc85hz549fO1rXwPgxz/+cRf+dE4fSpxEREREpE/wR/zMenJWj9939TWr8dg97RpbUlJCJBLh05/+NEOGDAFgwoQJALjdboLBIDk5OS3O+853vsOnP/3ppu/vu+8+vve97/H5z38egF/+8pcsXbqUBx98kN/97ndN42pra/nkJz+J3+9n2bJlpKamAvDzn/+c73//+9xwww0ADB06lHvuuYc777xTiZOIiIiIiCTWpEmTOP/885kwYQIXX3wxF110EVdddRXp6eknPW/69OlNz30+H4cOHWLOnDnNxsyZM4cPP/yw2bEvfOELDBo0iLfeeguP51hyt27dOtasWcPPf/7zpmPRaJRAIEB9fX2zsX2FEicRERER6RPcNjerr1mdkPu2l9VqZcmSJbz77ru88cYb/OY3v+GHP/whq1efPO6kpKQWxz4+PdA0zRbHFi5cyOOPP87777/PJz7xiabjsViMn/70p82qWI1cLle738+ZJKHNIe69915mzJhBSkoKWVlZXHHFFezYsaPN85YvX95sodojjzzSA9GKiIiIyOnMMAw8dk+PP9q7vun4OOfMmcNPf/pTNmzYgMPh4Pnnn8fhcBCNRts83+v1MmDAAFauXNns+LvvvsuYMWOaHfvmN7/JL37xCz71qU+xfPnypuNTp05lx44dDB8+vMXDYumb/eUSWnFavnw5t9xyCzNmzCASifDDH/6Qiy66iK1bt7aaNQMUFhaycOFCbrrpJh5//HFWrVrFzTffTP/+/fnMZz7Tw+9ARERERKTrrF69mrfeeouLLrqIrKwsVq9ezZEjRxgzZgyBQIDXX3+dHTt2kJmZ2bQeqTXf/e53+fGPf8ywYcOYPHkyixYtYuPGjTzxxBMtxn7rW98iGo1y6aWX8p///Ie5c+fyox/9iEsvvZS8vDw++9nPYrFY2LRpE5s3b+ZnP/tZd/4Ieq2EJk4fb4m4aNEisrKyWLduHeeee26r5zzyyCMMHjyYBx98EIAxY8awdu1a7rvvPiVOIiIiInJa83q9rFixggcffBCfz8eQIUO4//77WbBgAdOnT2fZsmVMnz6d2tpali5dSn5+fqvX+fa3v43P5+P222+nrKyMsWPH8uKLL7boqNfoO9/5DrFYjIULF/Laa69x8cUX8/LLL3P33Xfzq1/9CrvdzujRo/nqV7/aje++dzNM0zQTHUSj3bt3M2LECDZv3sz48eNbHXPuuecyZcoUHnrooaZjzz//PJ/73Oeor6/Hbrc3Gx8MBgkGg03f+3w+8vLyqK6uxuv1ds8bERERkdPCk6uLWz1+zazBPRyJdLVAIEBhYSEFBQV9dk2OxJ3s34LP5yM1NbVduUGvmaBomia33XYbc+fOPWHSBFBaWkp2dnazY9nZ2UQiEcrLy1uMv/fee0lNTW165OXldXnsIiIiIiJyZus1idOtt97Kpk2b+Mc//tHm2NY6hLR2HOCuu+6iurq66bF///6uCVhERERERPqMXtGO/Fvf+hYvvvgiK1asYNCgQScdm5OTQ2lpabNjZWVl2Gw2MjMzW4x3Op04nc4ujVdERERERPqWhFacTNPk1ltv5bnnnuPtt9+moKCgzXNmz57NkiVLmh174403mD59eov1TSIiIiIiIl0hoYnTLbfcwuOPP86TTz5JSkoKpaWllJaW4vf7m8bcddddXH/99U3ff+Mb32Dfvn3cdtttbNu2jUcffZS//vWv3HHHHYl4CyIiIiIi0gckNHH6wx/+QHV1NfPnzyc3N7fp8dRTTzWNKSkpobj4WMebgoICXn31VZYtW8bkyZO55557ePjhh9WKXEREREREuk1C1zi1pxP64sWLWxybN28e69ev74aIREREREREWuo1XfVERERERER6KyVOIiIiIiIibVDiJCIiIiLSi8yfP5/vfOc7nT7/Jz/5CZMnTz7pmBtvvJErrrii0/foi5Q4iYiIiIiItEGJk4iIiIiISBuUOImIiIiI9DKxWIw777yTjIwMcnJy+MlPftL0WnFxMZdffjnJycl4vV4+97nPcfjw4RNeKxqNctttt5GWlkZmZiZ33nlnu7pbS3NKnERERESkTzBNk1h9fY8/OpOk/O1vfyMpKYnVq1fzq1/9irvvvpslS5ZgmiZXXHEFFRUVLF++nCVLlrBnzx6uvvrqE17r/vvv59FHH+Wvf/0rK1eupKKigueff/5UfpR9UkL3cRIRERER6Smm38+OqdN6/L6j1q/D8Hg6dM7EiRP58Y9/DMCIESP47W9/y1tvvQXApk2bKCwsJC8vD4C///3vjBs3jjVr1jBjxowW13rwwQe56667+MxnPgPAI488wuuvv34qb6lPUsVJRERERKSXmThxYrPvc3NzKSsrY9u2beTl5TUlTQBjx44lLS2Nbdu2tbhOdXU1JSUlzJ49u+mYzWZj+vTp3Rf8GUoVJxERERHpEwy3m1Hr1yXkvh1lt9ubX8MwiMVimKaJYRgtxp/ouHQdJU4iIiIi0icYhtHhKXO9zdixYykuLmb//v1NVaetW7dSXV3NmDFjWoxPTU0lNzeX999/n3PPPReASCTCunXrmDp1ao/GfrpT4iQiIiIicpq44IILmDhxItdeey0PPvggkUiEm2++mXnz5p1w+t1//dd/8Ytf/IIRI0YwZswYHnjgAaqqqno28DOA1jiJiIiIiJwmDMPghRdeID09nXPPPZcLLriAoUOH8tRTT53wnNtvv53rr7+eG2+8kdmzZ5OSksKVV17Zg1GfGQyzjzVx9/l8pKamUl1djdfrTXQ4IiIikkBPri5u9fg1swb3cCTS1QKBAIWFhRQUFOByuRIdjiTQyf4tdCQ3UMVJRERERESkDUqcRERERERE2qDESUREREREpA1KnERERERERNqgxElERERERKQNSpxERERERETaoMRJRERERESkDUqcRERERERE2qDESUREREREpA1KnERERERE5JTNnz+f73znO4kOo9socRIREREROc31ZNKybNkyDMOgqqqq2fHnnnuOe+65p0diSARbogMQEREREZETC4VCOByOU76OaZpEo1Fstu5JATIyMrrlur2FKk4iIiIiIr3I/PnzufXWW7ntttvo168fF154IVu3bmXhwoUkJyeTnZ3NddddR3l5OQA33ngjy5cv56GHHsIwDAzDoKioqKky9PrrrzN9+nScTifvvPMOe/bs4fLLLyc7O5vk5GRmzJjBm2++2SyGYDDInXfeSV5eHk6nkxEjRvDXv/6VoqIizjvvPADS09MxDIMbb7yxKe7jq16VlZVcf/31pKen4/F4WLBgAbt27Wp6ffHixaSlpfH6668zZswYkpOTueSSSygpKeneH3AnKXESERERkT7BNE3CwWiPP0zT7HCsf/vb37DZbKxatYpf/OIXzJs3j8mTJ7N27Vpee+01Dh8+zOc+9zkAHnroIWbPns1NN91ESUkJJSUl5OXlNV3rzjvv5N5772Xbtm1MnDiR2tpaFi5cyJtvvsmGDRu4+OKLueyyyyguLm465/rrr+ef//wnDz/8MNu2beORRx4hOTmZvLw8nn32WQB27NhBSUkJDz30UKvv4cYbb2Tt2rW8+OKLvPfee5imycKFCwmHw01j6uvrue+++/j73//OihUrKC4u5o477ujwz6snaKqeiIiIiPQJkVCMP/3X8h6/79cemofdae3QOcOHD+dXv/oVAD/60Y+YOnUq//u//9v0+qOPPkpeXh47d+5k5MiROBwOPB4POTk5La519913c+GFFzZ9n5mZyaRJk5q+/9nPfsbzzz/Piy++yK233srOnTt5+umnWbJkCRdccAEAQ4cObRrfOCUvKyuLtLS0VuPftWsXL774IqtWreLss88G4IknniAvL48XXniBz372swCEw2EeeeQRhg0bBsCtt97K3Xff3aGfVU9R4iQiIiIi0stMnz696fm6detYunQpycnJLcbt2bOHkSNHtvtaAHV1dfz0pz/l5Zdf5tChQ0QiEfx+f1PFaePGjVitVubNm9fp+Ldt24bNZmPWrFlNxzIzMxk1ahTbtm1rOubxeJqSJoDc3FzKyso6fd/upMRJRERERPoEm8PC1x7qfDJwKvftqKSkpKbnsViMyy67jF/+8pctxuXm5nboWgDf/e53ef3117nvvvsYPnw4brebq666ilAoBIDb7e5wvB93oumJpmliGEbT93a7vdnrhmF0ampjT1DiJCIiIiJ9gmEYHZ4y1xtMnTqVZ599lvz8/BN2xHM4HESj0XZd75133uHGG2/kyiuvBKC2tpaioqKm1ydMmEAsFmP58uVNU/U+fi/gpPcbO3YskUiE1atXN03VO3r0KDt37mTMmDHtirO3UXMIEREREZFe7JZbbqGiooIvfOELfPDBB+zdu5c33niDL3/5y03JS35+PqtXr6aoqIjy8nJisdgJrzd8+HCee+45Nm7cyIcffsg111zTbHx+fj433HADX/7yl3nhhRcoLCxk2bJlPP300wAMGTIEwzB4+eWXOXLkCLW1tS3uMWLECC6//HJuuukmVq5cyYcffsgXv/hFBg4cyOWXX97FP6GeocRJRERERKQXGzBgAKtWrSIajXLxxRczfvx4/uu//ovU1FQslvjH+TvuuAOr1crYsWPp379/sw55H/frX/+a9PR0zj77bC677DIuvvhipk6d2mzMH/7wB6666ipuvvlmRo8ezU033URdXR0AAwcO5Kc//Snf//73yc7O5tZbb231PosWLWLatGlceumlzJ49G9M0efXVV1tMzztdGGZvnUTYTXw+H6mpqVRXV+P1ehMdjoiIiCTQk6tb/3B5zazBPRyJdLVAIEBhYSEFBQW4XK5EhyMJdLJ/Cx3JDVRxEhERERERaYMSJxERERERkTaoq56IiIicdjTFTkR6mipOIiIiIiIibVDiJCIiIiIi0gYlTiIiIiJyxupjDaSlFV31b0CJk4iIiIiccRr3Cqqvr09wJJJooVAIAKvVekrXUXMIERERETnjWK1W0tLSKCsrA8Dj8WAYRoKjkp4Wi8U4cuQIHo8Hm+3UUh8lTiIiIiJyRsrJyQFoSp6kb7JYLAwePPiUE2clTiIiIiJyRjIMg9zcXLKysgiHw4kORxLE4XBgsZz6CiUlTiIiIiJyRrNarae8vkVEzSFERERERETaoMRJRERERESkDUqcRERERERE2qDESUREREREpA1KnERERERERNqgxElERERERKQNSpxERERERETaoMRJRERERESkDUqcRERERERE2qDESUREREREpA1KnERERERERNqgxElERERERKQNSpxERERERETaoMRJRERERESkDUqcRERERERE2qDESUREREREpA1KnERERERERNqgxElERERERKQNSpxERERERETaoMRJRERERESkDUqcREREpE/ac6SWjfurqAmEEx2KiJwGbIkOQERERKQzojGTan+YVLcdq8Xo0LnLdx7hy4vXEI2ZZCY5uHn+cNwOazdFKiJnAiVOIiIictopqfbz2Hv7qPaHyUxycO2sIeSkutp1bn0owu1Pf0g0ZgJwtC7Esp1lLBif250hi8hpLqFT9VasWMFll13GgAEDMAyDF1544aTjly1bhmEYLR7bt2/vmYBFREQk4epDEf72bhHV/vgUu6N1IRa/W0h9MNKu859cXUx5bZC8DDdXz8gDYGNxVVMiJSLSmoQmTnV1dUyaNInf/va3HTpvx44dlJSUND1GjBjRTRGKiIhIb7NoVRG+QIR0j53bLxxJv2QHvkCEN7YdbvNc0zR5YnUxADfPH864AV7cdis1wQhFR+u6O3QROY0ldKreggULWLBgQYfPy8rKIi0tresDEhERkV7lyYYkp1HMNPnj8j0AXDAmm8xkJ1dMGchf3ilkbVEFByrrGZTuOeH11hdXUlheh8dh5VOTBvDvjYcYlZPCxv1VFJbXMax/cre+HxE5fZ2WXfWmTJlCbm4u559/PkuXLj3p2GAwiM/na/YQERGR09Oeslp8gQhuu5UJA1MBGNovmWH9k4iZ8NeVhSc9/1/rDgCwcEIuSc7434+HZMYTLVWcRORkTqvEKTc3lz/96U88++yzPPfcc4waNYrzzz+fFStWnPCce++9l9TU1KZHXl5eD0YsIiIiXemjQ9UATBiUis167GPMOSP6A/DUmv1U17feXtwfivLyhyUAXDVtUNPx/MwkAPZX1Gudk4ic0GnVVW/UqFGMGjWq6fvZs2ezf/9+7rvvPs4999xWz7nrrru47bbbmr73+XxKnkRERE5Dpmmy83AtAGNyvM1eG5GVTI7XRakvwOOr93HLecNbnP/6llJqghEGpbuZmZ/RdLx/ihOHzUIoEuNobZAsb/u684lI33JaVZxac9ZZZ7Fr164Tvu50OvF6vc0eIiIicvopqwlS7Q9jsxgU9Etq9pphGMwd0Q+Ax94rIhyNtTj/mXX7gXi1yXLcvk8WwyA7xQlAqS/QXeGLyGnutE+cNmzYQG6u9l0QERE50xWWx9cgDcn04LC1/AgzcWAq/VOcHPYFeXVzSbPXDlTW8+6eowB8ZuqgFudmN1SZDvuCXR22iJwhEjpVr7a2lt27dzd9X1hYyMaNG8nIyGDw4MHcddddHDx4kMceewyABx98kPz8fMaNG0coFOLxxx/n2Wef5dlnn03UWxAREZEeUlxRD8CQzKRWX7dZLVx31hAeWLKTv64s5FOT4vtEAjy3/iCmCWcPyyQvo2XXvWOJkypOItK6hCZOa9eu5bzzzmv6vnEt0g033MDixYspKSmhuPhYG9JQKMQdd9zBwYMHcbvdjBs3jldeeYWFCxf2eOwiIiLSs/Y1dL0b0kri0+jaWYP53dLdbDpQzdIdZXxidDb+UJTH3tsHwGent6w2wbHEqaxGiZOItC6hidP8+fMxzRN3r1m8eHGz7++8807uvPPObo5KREREepvaYITK+jAGtFoxapSZ7OTGs/P544q93PPyNs4amsmfVxRSXhtkYJqbSycOaP28JAcAlXVhYif5bCIifddp1VVPRERE+qbS6nglKCPJgctuPenYm+cP598bD1FYXse8/1tGeW183dKdl4zCbm19eXeqx47VMIiaJtX+1tuZi0jfdto3hxAREZEzX2O3u5zUtluFp3rs/PaaKaS4bBypCWKa8IWZg/nUpNarTRDvrJfmsQNQURfqmqBF5IyiipOIiIj0eo0Vp5x27rE0PT+D179zLm9tL2NwhodzR/RrahRxIpnJDo7WhaioVeIkIi0pcRIREZFer9TnB9pXcWo0IM3NdWcNaff4jIZ1TkdVcRKRVmiqnoiIiPRq0ZhJWcP+Su2tOHVGuieeOFX5lTiJSEtKnERERKRXO1obJBIzcVgtpDdUhbpDqju+xsmn5hAi0golTiIiItKrNTaGyPY6sbSxTulUeF3xxEld9USkNUqcREREpFdragyR6u7W+zRVnAKRk+4zKSJ9kxInERER6dWONOzDlJXi7Nb7pLjjPbOiMVMtyUWkBSVOIiIi0qsdbWgP3i+5+9Y3AdgsFpKc8eSpcXqgiEgjJU4iIiLSa5mmydG6eMUpM6l7K04AqQ1Vp8bpgSIijbSPk4iIiPRaNYEI4aiJxYC0JHub459cXdzq8WtmDW7X/bwuO4cIUKLESUQ+RhUnERER6bUaN6NN8ziwWbr/Y0tjg4jDmqonIh+jxElERER6raO1jdP0und9U6PGxEkVJxH5OCVOIiIi0ms1Vpwyu7kxRKPGvZxUcRKRj1PiJCIiIr3WsYpT9zeGAPCq4iQiJ9CpxKmwsLCr4xARERFpoani1ENT9bwNXfUOK3ESkY/pVOI0fPhwzjvvPB5//HECAf1iERERka5nmmbTHk6ZyT1TcUptmKpXE4xQEwj3yD1F5PTQqXbkH374IY8++ii33347t956K1dffTVf+cpXmDlzZlfHJyIiIn1Aa23EawJhQtEYBpDuabsVeVdw2q04bRaCkRhlNUFSXD1zXxHp/TpVcRo/fjwPPPAABw8eZNGiRZSWljJ37lzGjRvHAw88wJEjR7o6ThEREeljKuvjFR+v247N2nPLspOd8b8rl9cEe+yeItL7ndJvIZvNxpVXXsnTTz/NL3/5S/bs2cMdd9zBoEGDuP766ykpKemqOEVERKSPqapv3MOpZ6s+TYlTwzRBERE4xcRp7dq13HzzzeTm5vLAAw9wxx13sGfPHt5++20OHjzI5Zdf3lVxioiISB9T1VBxSnP3cOLkakycVHESkWM6tcbpgQceYNGiRezYsYOFCxfy2GOPsXDhQiwNO3oXFBTwxz/+kdGjR3dpsCIiItJ3VPkbK04901Gv0bGKkxInETmmU4nTH/7wB7785S/zpS99iZycnFbHDB48mL/+9a+nFJyIiIj0XU0VJ03VE5FeoFOJ05IlSxg8eHBThamRaZrs37+fwYMH43A4uOGGG7okSBEREel7GhOn9J6uOGmqnoi0olNrnIYNG0Z5eXmL4xUVFRQUFJxyUCIiIiKNU/VSe3qNk6bqiUgrOpU4mabZ6vHa2lpcLtcpBSQiIiISCEcJhGNAAipOSpxEpBUdmqp32223AWAYBj/60Y/weDxNr0WjUVavXs3kyZO7NEARERHpeyobWpF7HFYctp7bwwmO38dJa5xE5JgOJU4bNmwA4hWnzZs343Ac+wuQw+Fg0qRJ3HHHHV0boYiIiPQ51QlqRQ7HEid/OEpdMEKSs1NLwkXkDNOh3wRLly4F4Etf+hIPPfQQXq+3W4ISERGRvq3S39hRr2en6QE4bBZcdguBcIzy2qASJxEBOrnGadGiRUqaREREpNtU1Tfu4dTzFSfDMOiX7ATUklxEjmn3n1A+/elPs3jxYrxeL5/+9KdPOva555475cBERESk76pK4FQ9gMxkJwcq/WoQISJN2p04paamYhhG03MRERGR7lITiCdO3gQlTv2T41MElTiJSKN2J06LFi1q9bmIiIhIV/MFIgB4XYlJnJqm6qmznog06NQaJ7/fT319fdP3+/bt48EHH+SNN97ossBERESkbzJNs6nilOJKTGOGY2ucVHESkbhOJU6XX345jz32GABVVVXMnDmT+++/n8svv5w//OEPXRqgiIiI9C3BSIxw1AQgJWEVJ03VE5HmOpU4rV+/nnPOOQeAf/3rX+Tk5LBv3z4ee+wxHn744S4NUERERPoWX0Mrcpfd0uOb3zbKbKg4Ha3TVD0RievUb6P6+npSUlIAeOONN/j0pz+NxWLhrLPOYt++fV0aoIiIiPQtiV7fBJCZFK84VShxEpEGnUqchg8fzgsvvMD+/ft5/fXXueiiiwAoKyvT/k4iIiJySpo66iUycWqsOGmqnog06FTi9KMf/Yg77riD/Px8Zs2axezZs4F49WnKlCldGqCIiIj0LY0Vp0Q1hgDIaKg4VfnDRKKxhMUhIr1Hp34jXXXVVcydO5eSkhImTZrUdPz888/nyiuv7LLgREREpO/xJXgPJ4B0jx3DANOEyvow/VOcCYtFRHqHTv8pJycnh5ycnGbHZs6cecoBiYiISN9W409sK3IAm9VCmttOZX2YirqQEicR6VziVFdXxy9+8QveeustysrKiMWal7D37t3bJcGJiIhI39MbmkNAfJ1TZX24YZ1TSkJjEZHE61Ti9NWvfpXly5dz3XXXkZubi2EYXR2XiIiI9FHHmkMkruIEx9Y5qSW5iEAnE6f//Oc/vPLKK8yZM6er4xEREZE+zDTNY80hErjGCY5tgqvOeiICneyql56eTkZGRlfHIiIiIn2cPxQlGjMBSHH2joqT9nISEehk4nTPPffwox/9iPr6+q6OR0RERPowXzBebfI4rNisnfqY0mUyk+INIcqVOIkInZyqd//997Nnzx6ys7PJz8/Hbm9eSl+/fn2XBCciIiJ9S2NHvUQ3hgDIbJiqV1GrxElEOpk4XXHFFV0choiIiEjv2Py20bHmEFrjJCKdTJx+/OMfd3UcIiIiIsd11OsFFaeGqXrqqicicAob4FZVVfGvf/2LPXv28N3vfpeMjAzWr19PdnY2AwcO7MoYRUREpI/wNSROKe72fUQZVvxM+y5sbaWp1fQvnfSUzKauekqcRKSTidOmTZu44IILSE1NpaioiJtuuomMjAyef/559u3bx2OPPdbVcYqIiEgf4PP3js1vATIbpupV+8OEozHsCW5WISKJ1anfALfddhs33ngju3btwuVyNR1fsGABK1as6LLgREREpG/pLZvfAqR5HBhG/HmlpuuJ9HmdSpzWrFnD17/+9RbHBw4cSGlp6SkHJSIiIn3TseYQia84WS0GGZ7GBhFKnET6uk4lTi6XC5/P1+L4jh076N+//ykHJSIiIn1PzDSPVZzciU+c4LjOelrnJNLndSpxuvzyy7n77rsJh+O/3AzDoLi4mO9///t85jOf6dIARUREpG+oD0WJmWAAyc7ET9WD4xpEqCW5SJ/XqcTpvvvu48iRI2RlZeH3+5k3bx7Dhw8nJSWFn//8510do4iIiPQBvobNb5OcNqwWI8HRxDW1JFfFSaTP69Sfc7xeLytXrmTp0qWsW7eOWCzG1KlTueCCC7o6PhEREekjelNjiEaNFacKrXES6fM6/JspFouxePFinnvuOYqKijAMg4KCAnJycjBNE8PoHX8hEhERkdNLTS9qDNGoaY2TpuqJ9Hkdmqpnmiaf+tSn+OpXv8rBgweZMGEC48aNY9++fdx4441ceeWV3RWniIiInOF8TY0helPFSVP1RCSuQ7+ZFi9ezIoVK3jrrbc477zzmr329ttvc8UVV/DYY49x/fXXd2mQIiIicubrTa3IGzVugqupeiLSoYrTP/7xD37wgx+0SJoAPvGJT/D973+fJ554osuCExERkb6jpqE5REpvWuOUpH2cRCSuQ7+ZNm3axK9+9asTvr5gwQIefvjhUw5KRERE+p7GipO3GypOqwsrWhzbEy1u87ymduS1WuMk0td1qOJUUVFBdnb2CV/Pzs6msrLylIMSERGRvudYV73eNFUvvsbJF4gQisQSHI2IJFKHEqdoNIrNduIildVqJRKJnHJQIiIi0rfETPNYV71e1Bwi1W1v2lOqsl7T9UT6sg79ZjJNkxtvvBGn09nq68GgytgiIiLScbXBCCZgAMnO3pM4WSwG6R4H5bVBymuDZHtdiQ5JRBKkQ7+ZbrjhhjbHqKOeiIiIdFSNv7Gjng1LL9sTMjMpnjips55I39ahxGnRokXdFYeIiIj0YY17OPWmVuSNMpMdcFh7OYn0dR1a49TVVqxYwWWXXcaAAQMwDIMXXnihzXOWL1/OtGnTcLlcDB06lEceeaT7AxUREZFu1bT5bS9qRd4oQy3JRYQEJ051dXVMmjSJ3/72t+0aX1hYyMKFCznnnHPYsGEDP/jBD/j2t7/Ns88+282RioiISHc61hii91Wc+iXH13arJblI35bQP+ssWLCABQsWtHv8I488wuDBg3nwwQcBGDNmDGvXruW+++7jM5/5TDdFKSIiIt2t5jSoOGmNk0jfltCKU0e99957XHTRRc2OXXzxxaxdu5ZwOJygqERERORU+fzdt/ntqWrcBLdca5xE+rTe92edkygtLW2xAW92djaRSITy8nJyc3NbnBMMBpu1Sff5fN0ep4iIiHRMTW9uDtFUcdJUPZG+7LRKnACMj7UoNU2z1eON7r33Xn760592e1wiIiKnrbWn2DV3+pdOOQRf4Fg78t4ms3GNk6bqifRpp9VUvZycHEpLS5sdKysrw2azkZmZ2eo5d911F9XV1U2P/fv390SoIiIi0k7haIy6YMNUvV7YHKJpjZOm6on0ab3vzzonMXv2bF566aVmx9544w2mT5+O3d76L1qn04nT6eyJ8ERERKQTymuDmIDFAI/DmuhwWuiXFP8cUROMEIxEcdp6X4wi0v0SWnGqra1l48aNbNy4EYi3G9+4cSPFxcVAvFp0/fXXN43/xje+wb59+7jtttvYtm0bjz76KH/961+54447EhG+iIiIdIHDvvjaoRSXHcsJpt4nktdtw2aJx6XOeiJ9V0ITp7Vr1zJlyhSmTJkCwG233caUKVP40Y9+BEBJSUlTEgVQUFDAq6++yrJly5g8eTL33HMPDz/8sFqRi4iInMYO+wJA72xFDvF11E2b4Gq6nkifldDfUPPnz29q7tCaxYsXtzg2b9481q9f341RiYiISE8qa0icemNHvUYZSQ7KaoJqECHSh51WzSFERETkzNM4Vc/r7p0VJ4B+jZ31atWSXKSvUuIkIiIiCXVsql7vrjiB1jiJ9GVKnERERCShymqONYforTKT44lTudY4ifRZvbcmLiIiIj3umYpNHT9p5zMtDn125GfbfXpvbw4BkNlUcdJUPZG+ShUnERERSaimilMv3Py2UWbTGidVnET6KiVOIiIikjDBSLRp3ZDX2XsrTk3tyLXGSaTPUuIkIiIiCVPW0FHPZjFwO6wJjubE+iU3Jk6aqifSVylxEhERkYQpbVzf5LZjGEaCozmxjKT4VL0KTdUT6bOUOImIiEjClFb3/sYQcKyrXl0oSiAcTXA0IpIISpxEREQkYQ4fV3HqzVKcNuzWeEVM65xE+iYlTiIiIpIwjRWn1F68hxOAYRhkarqeSJ/Wu+viIiIi0vsVvdvi0DOtHGvNmoPzARs+drOhamOz16akLTj12LpQRpKDUl+AcjWIEOmTlDiJiIhIp/kLB5/S+ZVH4p300qsdkNcVEXWfxnVOqjiJ9E2aqiciIiIJ42vIQTxWM7GBtENmklqSi/RlqjiJiIhIQpgm1ITjz5NsscQG0w6ZyfE1Tit3lZPsbL4m65pZp1Z5E5HeTxUnERERSYj6mJWoGe9U5z4NKk4ZDRWn2qDakYv0RUqcREREJCF8kfjElySbibX37n3bpF/jXk7BSIIjEZFEUOIkIiIiCeGLxhMnryPBgbRTRkM78rqQEieRvkiJk4iIiCREY8XJ27u3cGqSqYqTSJ+mxElEREQS4ljFqfevb4JjXfVqlTiJ9EnqqiciItIHbXnn4LFv9iU3PfXX9Vx3uJqGilNKL6w4Pbm6uMWxYDjeFCIcNQlFYjhs+vuzSF+i/+JFREQkIU63NU4OmwWHNf7RqSYQTnA0ItLTlDiJiIhIh8WIUUMdB43DlBrlxOj4PkzH1jidHlP1DMMgxRWP2RfQdD2RvkZT9URERKTd6vHzge0jNlq3ETaOJQ9O08HgWC4zIxMYYGa161o1x1Wc6k6TAk6Ky87RupAqTiJ9kBInERERaZOJyVrrFlbZ1jclTBbTIJkkgoQIGiF2Wfexy7KPqdGxnBOZhoMTL14KxQz8MSsQ76pXB7gifrL9h0kJ1QIwKOig1j0IX1IBMWvvmM+nipNI36XESURERE4qRoy3bO+z0bYdgJxYP86OTKEgNhALFmLEOGwcZb1tK1ute1hv20qh5QCfC12Cl+RWrxmvNplMt+5hbtkqcqvXkV5a/rFRj8Xvb1ipSh5Bce5FFOdcQm1SXje+25PzNiROqjiJ9D1KnEREROSEokR50b6U3dZiMOG8yCymRcdiYDSNsWAh1+zPJ8PzGBcdzuv2lVRafPzT8SpXhxaS+vHkyTQZUL+d1xyPMNqyHyqOvVTlSKXKmYaJQYolBW9dEY5IDRk128mo2c7knQ9zqN8cNo38FhWp43rop3BMiiteRatRxUmkz1HiJCIiIie01PYBu63FWE0rnwzPY1Qs/6Tj82MD+ULwkzzl+A9Vlhr+6XyVa4KfJIUkADJDB5jle4V+4RKwgB8npalTWW1MYuvwHPx2T9O1pqQtANPEHSwj98i7DCl5leyjHzCgfBUDyldRnH0B5anjCdu93fkjaMbrbpyqp4qTSF+jxElERERatdm6kw22bQB8Knwew2Pt2+PJSzKfDy3kKcd/qLT4eNGxlGuCFzKldhXja9/BgkkAJ3+KLGC1dwEX53koLK/Db/e1vJhh4HdlszfvSvbmXUly3X4m7P4D+YdeZvDhNxlwZCVFuQs4mjoeDKPl+V2sqeLkV8VJpK9RO3IRERFpodQoZ4ntPQDmhKe0O2lqlEISnwlfhNN0cMhSRlHk70ysXYEFk0LXeL5pvYcHIp/D7kzq0HVrk/J4b9L/8urcZzmaOg5bLMDwg88z9OC/MWLdn8ykOBvWOAVVcRLpa5Q4iYiISDNRorxqX0HUiDI8OpjZ0cmduk666eVzgfg6pH+lWHglKZXlaVfxTvpVFEfT42OcnYuxOmUEb5z1d/b3n4+JQf/qTYwpegxbpK5zF2wnrztecQqEY4QiHd+7SkROX0qcREREpJkPrJs5aqnCY7q4JHxOs0YQHTEgsIv/PvwqX6qKT8H7af9+bHMPA6AqGk9AUh2d3/zWtNg5lHUu24dcS8TiIsV/gHF7/4ozVNH2yZ3ktFmwW+M/D3XWE+lbtMZJRETkDPHMzmfaPdZ/+LhST92BpqeVho/3bB8CcF54Fm46VxIaENjFeZX/xEqUq+rSecWbQpmlimX2NSwInUt1JP4RJK2TFafj+ZKHsmXolxlV/E9coQpG7X6c95K/Rb2130nPC/qr27y2c1Rqs+8NwyDFZaeiLoQvECEzuQvegIicFlRxEhERESC+ye0S27tEjShDogMYExvaqescnzTtc45mRca1XBieCyZsse5mB6VETAsGJt4T75HbIQFnP7bm34jf2Q+3WcXs2t/giX58X6iukaK9nET6JCVOIiIiAkCR5SD7rIewmlYujJzdqSl6/UL7mV/5FFaiFDtH8076VcQMGwPMLKZExwCw1LEKjDAp1gi2LvwkErYns23I9dRYsnGbVZxV9zscsVY69Z0ir/ZyEumTlDiJiIgIJiYrbOsAmBIdTbrZ8b2RkiMVfKLyH9iIcMA5ghUNSVOjcyLTSDY91Fqrsae/R6qt6xOPsD2Z95Nvpc7SD0+sgpl1f8ZqBrv0Ho0VJ+3lJNK3aI2TiIiIsNNSRJnlKHbTxqzIpA6f74zVc37FE7hi9Ry15bIirXnSBODEwdzIVF6zr8TZbykpoVHAydchdUbQ4uWDpK8zp/ZB0qLFTKl7jLVJXwGj438vDu5ouQ7KUxMFoPJwPUF7/PUtoYMnvc64cwZ2+N4i0ruo4iQiItLHxYix0rYegBnR8Xhwdeh8w4xxTuW/SI0epdaaytsZ1xCxtN40YVx0OM5wPwyrn2DaqubXCVuw1dpxVDhxVDqJVoWI1UcwzY533quzZrEm6Sai2MiJfMSowCsdvsaJpNqtAPjC0S67poj0fqo4iYiI9HFbLXuosFTjNp1Mj4zv8PmTapcxILSXsGHn7fRr8FtTTjjWggVPxfkEs5+i3r4b374I9qpk0qvc9NuY3Wysj2IADIcFS6odW5Yb+0A3tmw3RjsWR1XaCvjQcw1T6x9jRPBNqmz5HLZP6PD7+7hUe/zjU3VEa5xE+hIlTiIiIn2YacZYY9sMwIzIeJw4OnT+wMBOJtauAOD91MuosmefdLxpQv/yicw9PJiBdYMAiADWxtctYUx7CAB71Ek0YsUMxYgeCRI9EiS4pQqLNUpGVhWZuUcx08A4SQ+LQ45ppEeKKAitYHLd46xMuZ06a1aH3uPHeRsqTjXhKDHTxHKyAETkjKHESUREpA/bG91JuaUKh2lnUnR0h871RKuZW/UcANs9Myl0Tzzp+Ei1l+ChHD4RcAPJAJSk7CUnxULY4ic8ZAsc1zBipm0UsahBwO/EX+umpiKF6ooUwkEH5SWZlJdk4kmpJze/lLT+1SdMoLa6Lyc1up+MaCFT6xazKuW2FuuvOiLFZsUAYkBdJEqKXR+nRPoC/ZcuIiLSh60JrwRgUnQUro5sdmvGmFv1PE4zQLl9AGu9FzV7ubw2dOybiB1b2WCsdRkABDHZ4IxQN/pP7PLsZEpkDJOrpjVLmhpZrCae5ACe5ACZOZWYJtRWJ3G0JIOK0nTqazzs2TwUd7KfvBEH8GbUtgzVsLEu6UucW/NLUmMHGRV4hW3uy9v/Xj8ek2GQYrPii0SpDitxEukr1BxCRESkjzoU3c/+WCEW08K0yLgOnTuu7j1yQkWEDTvvpH3mhBUcS20qjn3jsdZlYGLizzzKH70BNqf4mWobBsAm607qjfp23dcwICWtjvwx+5kwZwu5+aVYbRH8tW52bhjB7k0FRMLWFucFLals8nwBgKHBpWSGd3bo/X5cY4OI6ogaRIj0FUqcRERE+qjGatPY6DBSSGr3eenhEibXvBW/hvcSamyZLQeZYD06EHvJSIyYjZizlvDgLRxM9xG0QIYtRF4sh4GxLKJGlI88Wzscv90RZeCwEiacvZX+g44AJlVH0igpzKGu2sPHm/Edtk9gn+NsDEwm1z+OI9r5zXG9DVUmX1gNIkT6CiVOIiIifZAvVsWu6BYApkfb30nPMKPMqXoBKzGKnaPY7Z7aYowZM7CVDsNWMQCASOphwnnbMZ1+jobtAGTawxgYzI5MBmC7axdBs3MbytrsUYaMOsDYmdvxpNQTi1kpL+lHeUkmsVjzhU9b3VdQa8nCbVYz6+jDnbofHGsQUa2W5CJ9hhInERGRPujDyBpMTPIsBfQ309t93vjaVWREDhMw3LyfelmLlnZm1IJ/bwHW2gxMI0Y4ey/RrGIw4uWfikg8ccpo6JyXHxtIViyTqBFlZ+zwKb0nT0qA0dN3kNqvCjCp9yVRWpRNOHRsGmHUcLLRcy0mBsNrX2Ng/XuduleqKk4ifY4SJxERkT4mEouwKbwGgCn2s9p9Xmr4CBNrlwOwJnUBAWtys9fNmIF/TwHRmhRMI0p4wC5i3qPNxlSE4+3OM23x6pKBwYyGvaO2R0uJmrHOvakGFguk9fORPbgMqzVKOOSgpCgHf92xxhdVtnwKnecCcPaR/8Meq+vwfVJt2gRXpK9R4iQiItLHbDu6jXrqSDa8jLCOad9JZozZ1f/GSpQDzhEUuppvJGua4C/MJ1qXDNYo4YE7MD2+FmOOVZyOTcsbFSvAE/UQIExhrPzU3lwDlydIbkEJTncAM2ahbH8WtdWeptd3uD6JzzaA5GgZ04/+ocPX92oTXJE+R4mTiIhIH7OmNF5tmmSbgcVo2YGuNSPq15MVPkDIcPB+6qXNpuiZJgT25RH1ecGI4Rm6F9PdsooTMK0EYlYMTNJtxxInKxbGBkYBsDV2CPPjXR06yWqLkZ1XhielDjA4WtIPX0UKEJ+yt6r/9wEYXfMC/QMfdejajV31aiMxol0Ur4j0bkqcRERE+pDSulIO1B7AgpWJthntOscVrWVqzZsAbEz5BPXW1Gavh0qziVRmACbugiKsya23Fq+Kxqfpea0R7JbmycaowAjsWKk2/Rwyqzr2pk7CsEC/AUfxZsSrX5Vl6VQf9QJQ6p7KruQFAMwuvx/DbH/1yGO1YGtIHqu1zkmkT1DiJCIi0odsKNsAwAjrWJItKe06Z2rNmzjNABW2HHZ4midb4apUQqU5ALgG78eWWnPC61RF4+uMjp+m18hhOhhmyQJgR7S0XXG1l2FAelZVQ9MIqDqSRnV5PHlak3kzQUsKmaFdjPE914FrGqQ1VJ2qQlrnJNIXKHESERHpIyKxCJuPbAZggm1au87JCu1juH8jAO+nfhLzuKl9Ub+LwL48AOz9j2DPrDzptSobKk6ZDR31Pm6UNRuAg2YVNWagXfF1RFo/H2mNyVN5GuESP0FrOusyvg7AlIq/4I60f41VuiO+zqki3Lk26iJyelHiJCIi0kdsr9hOIBrA6/AyxDqszfGGGWNm9asA7HRPpdyR1/SaGbXgLxwCMSvW5BqcAw+1eb2KiAuArBMkTl7DzQAjPg1wZxdXnRql9vM1VZ7ChbVEjgTYkfIpypxjcZj1TK94pN3XakycKkOaqifSFyhxEhER6SM2lm0EYFL/SViMtj8CDPevJyNymKDhYoP3/GavBQ8MwAy6MOwhXAX7Pr6dU6sqGqbq9XcETzhmlDUXgN2xMoIdWHPUEamZPlLS4lMKQ7triFZHWJ353wAMr32NzOD2dl0nvaGzXpUSJ5E+QYmTiIhIH1AVrGJv9V4AJmdNbnO8PRZgcs3bAHyYMp+gJanptXBlGuGKTMDENaQYi63tNT4R06C6YareiSpOAAOMNJJwEiLKmmhhm9ftDMOA9OxKrP2cYEJwh48ycwS7ky8GYObRh+OtAtvQVHFScwiRPkGJk4iISB/wYdmHAOR780l3pbc5fmLtctyxeqqs/Zo1hIiF7ASKBwHgyC7DltK+zWOrog5MDFyWKMnWEydaFsNoWuv0dnhbl7Um/zjDAMfwFCwpNoiaBLf5WOP9OhHDSU5gE0PqlrV5jQxHfE+qilCk2+IUkd7DlugAREREpHuZpsnGIxsBmJI1pc3xKZGjjK5bDcBa78VNDSFMEwLFeRCzYvHU4cht/zqkikjDND17qM1pfcMtWXwY3U+xWcHe2BGGWbPafZ+OyKpaTzTbQok/h2gA6rcH2NPvPEaFXuOs8l8TCLqJGfZWzz2SMa2pq14wZlIbjpLi0McqkTOZKk4iIiJnuEJfIdXBapxWJ6MzRrc5fkrNW1iJccA5nEOuEU3HwxUZRGtSwIjhHrK/XeuaGlVET94Y4nhOw06+pR8Ab0fat96os6y2GFmDjmAYMQL1btbWXUXASMUTq6AguPyk59otFpJt8eSptL7t9yUipzf9aUREROQMt/HwRgAm9JuA3dp6BaVRZugA+YGtmMD6lAubjsdCdoIHBgDgzC3F4jpxg4fWHI203RjieKMsOeyJHWFttIjPmTNINdwdul9HOFxhMnIqOFrSj6qjmazK+Srncz/DA2+w3zGTkMV7wnMz7DZqI1FK6oOMSPO0+55Pri5u9fg1swZ3OH4R6RmqOImIiJzB/BE/2yq2Ae1oCmGaTKtZAsAe9ySq7NlNLwUPDGyaomfPOtLhOJo66rWj4gSQaUlmqKUfUWK8E9nZ4ft1VHJqfVOnvZ1lszloTsROkFGB/5z0vMYGEao4iZz5lDiJiIicwT4q/4ioGSXbk01uUu5Jxw4M7iIntI8oVj5MOa/peLjKS6Q6FTBxDe7YFD2Id9SrakicshztTzDOs40BYHlkB1Ez1rGbdkJ6ViUOV5BYzMqS6v8mZloYHHqPlOiJ96hKa0icSuo7VoETkdOPEicREZEzWOPeTZOzJmOcJOMxzBhTa94EYFvSLOqsaUB8o9vggYFAvIue1d3xBOFoxBnvqGdE8Frb37p7ujWfFFxUmvVsjO7v8H07yrBAvwFHMSwx6gJpLA/cgoHJaP9LJzwnsyFxOlCrxEnkTKfESURE5AxVWldKSV0JFsPChH4TTjp2qP9D0iNlBA0XHyWf03Q8WJqNGXZgOEI4cg53Ko4jkfj6pP62QIeqVXbDylxbvDnF8siOTt27o+yOCBnZlQBsrT6PQ6FRZEe2kh7Z0+r4/s74mrHi2oBakouc4ZQ4iYiInKEaq02j0kfhsZ+4cYHVDDO5ZikAm5PPIWSJJzqxgJNwWX8AXIMOYFg6lxgcicQ76vW3+Tt87rm2kRjA1tghDsd8nbp/RyV56/B46wCDN3x3EjEdjPG/1OqmuJkOGwZQG45SFdJGuCJnMiVOIiIiZ6BILMLm8s1A23s3ja5bTVLMR601le1JM5uOBw7mAgZWrw9bak2nYylvSpwCHT63vyWFcZb4VMGeqjoZBmRkV2C1RaiLZPBezRfJiBaSFdnaYqzdYiHNHp+uV1zT8fcnIqcPJU4iIiJnoB0VO/BH/KQ4UhiaNvSE4xyRWibUvgPAxuTzmjZ8jfiSifoaGkIMPHFzhLbEzGOJU79OJE4A823xvadWRXYTNnumqmO1mmTkVACwqf5SSkKjGe1/GVppUtE4XW+/1jmJnNGUOImIiJyBGqfpTeo/CYtx4v+7H1f+Cg4zSKUti0L3RCA+Iy14ML5nk71/eYf3bDpeddRBGCs2YqRbO3edidaBZBhJ1BFkbXRfp2PpKE9ygCRvLWDwVvW38USPMCC8vsW4fs54xWl/rSpOImcyJU4iIiJnmOpgNXuq480MTrZ3kytSzeijbwCwIeUTmA0JVvhoJrGAG6wRnJ1sCNGocX1Tpi2ApYNtzBtZDAvn2kYCsCyy/ZTi6aiM7EqstgjV0VzW113JqMCrGB+reh3fIEJEzlxKnERERM4wHx75EIAh3iFkuDJOOG78kZewmyHK7QM44BwFxNuPh0pyAHDmHsawRU8plrLjOuqdinNsI7BisCd2hP2xilO6VkdYrCbpWVUArKu9inDIweDQe83GHJuqp8RJ5EyW8MTp97//PQUFBbhcLqZNm8Y777xzwrHLli3DMIwWj+3be/avTyIiIr1VzIyx4fAG4ORNITzhCkZVvA3Eq02NfcKDpdmYERsWZwB7v/JTjqc0Eu/ml22rP6XrpBoepliHALCsh5pENPKk1ONK8hPDzgrf1xjufwNb7FiHwH6OeOJUGYxQo856ImeshCZOTz31FN/5znf44Q9/yIYNGzjnnHNYsGABxcXFJz1vx44dlJSUND1GjBjRQxGLiIj0bnur9lIdqsZldTEmY8wJx0048iJWM8xhzyhKHMMAiAUdhI/0A8A58FCH9lxqTcyEsnC84pRj73gr8o+bb4tXxd6P7CFghk/5eu0V77JXCUaM/aHJHPBPZEz1v5ped1ot9HfHk6fCmlN/nyLSOyU0cXrggQf4yle+wle/+lXGjBnDgw8+SF5eHn/4wx9Oel5WVhY5OTlND6vV2kMRi4iI9G7ry+LNCyb2n4jdam91jKf2CMMrlwGwIfuqY9WmQ7lgWrCm1GD1dr79eKOjURcRLNiNaKcbQxxvlCWHHMNLkAjvnWBD2u5id0RIzYzvI7Wy5kuMrHweR/TYz2hEaryytqtKiZPImSphiVMoFGLdunVcdNFFzY5fdNFFvPvuuyc9d8qUKeTm5nL++eezdOnSk44NBoP4fL5mDxERkTNRbaiWnZU7AZiaPfWE48Z+9DJWM8qhpHGUJcVbfUfrPESq0gCzS6pNAIcbqk3ZNn+nG0MczzAM5jVUnZZFdmC2siFtd0rN8GGzh6mPZbDRdznjqp9qem1kWjxx2ll9alMSRaT3SljiVF5eTjQaJTs7u9nx7OxsSktLWz0nNzeXP/3pTzz77LM899xzjBo1ivPPP58VK1ac8D733nsvqampTY+8vLwufR8iIiK9xcYjG4mZMQYmDyTLk9XqmGRfKfmF8T9Qbsy+CmhoP34oFwBbRiVWd9c0OShtaAyRY+u6KszZtuE4sHLQrGRP7EiXXbc9DAtNezttrr+ErCMf4IxWAjCyoeK0s6quR2MSkZ6T8OYQxsf+pGWaZotjjUaNGsVNN93E1KlTmT17Nr///e/55Cc/yX333XfC6991111UV1c3Pfbv39+l8YuIiPQGxzeFOFm1adzmFzFMk/0pkyn3DAcgWpNCtDYZjBjO3Nb/eNkZh8MNjSHsXVeFSTKczLAWAD3fmhzAnRRs2NvJwirfjUyofAKA4Q2JU5k/THVQDSJEzkQJS5z69euH1WptUV0qKytrUYU6mbPOOotdu3ad8HWn04nX6232EBEROdOsKV1DZbASh9XBuMxxrY7xVh0kb98aAD7M+gzQvNpk71eOxdE1TRdCMQtHo06gaxpDHG++LT69cG20iBqz51uAp2dVYbHEKAuPwHq4DHeknCS7lUFJ8fer6XoiZyZbom7scDiYNm0aS5Ys4corr2w6vmTJEi6//PJ2X2fDhg3k5uZ2R4giIiKnjWd3PgvAhH4TcFgdrY4Zt/nfGJjsz5tGhTsfgMhhGzG/CyxRnDllXRbP4YgbMEixhEiytK8CYzs0rNn3R6yZrY5LIoMBKVkcspXxxtFDnBuccarhdojVFsM6KJlYcT1rar7AtIq/A/cwMs3DgbogO6vqmJGlP9SKnGkSljgB3HbbbVx33XVMnz6d2bNn86c//Yni4mK+8Y1vAPFpdgcPHuSxxx4D4MEHHyQ/P59x48YRCoV4/PHHefbZZ3n22WcT+TZEREQSqjJQyZvFbwIwNav1aXppFUUM2r8eE4MtEy+HfWDGILgnnmQ5sstOebPb4x1uWN+U3cXVJgADg7OCk3jOtoTVzk3MDU7HQhd0n+gA2wAPZqmP2lA/6kttpPkPMDLNw9sHK9lepYqTyJkooYnT1VdfzdGjR7n77rspKSlh/PjxvPrqqwwZEt/grqSkpNmeTqFQiDvuuIODBw/idrsZN24cr7zyCgsXLkzUWxAREUm4F/e8SDgWJjcpl9zk1mdhjN/0bwCK82dSkzoAgPBBG6bfgmEL4+h/6pvdHq+0YX1TzilufHsik0JjeNW9ggprFbtt+xgZye+W+5yIYTGw5KfDzho21F3BpTsWM37o7QBsqagjHIthtyR8KbmIdKGEJk4AN998MzfffHOrry1evLjZ93feeSd33nlnD0QlIiJyejBNk2d3xWdeTMma0uqYzCO7yT20mZhhYev4T8XPi0CosKHalHMYwxrrwpigtAs3vm2NAztTQmN5z7WB1c4PezxxArBmOnEmVRCsc7FtTz9GDj9EmsNGVSjCjsp6xmcm93hMItJ99KcQERGR09i6w+sorC7EbXMzod+EVseM2/QCAEVDz6bWG2/AFCq2Y4YsGO4Y9syKLo2pImKn3rRjIUZWF7Yi/7hZwUkAbLfvodo49Q17O8owDBjaH4AdgfOwbXmKSf3iydLaI23vGxmKxNhyqJo1RRUcrT31DYJFpHspcRIRETmNPbn9SQAWFizEaXO2eL1/6TayD28nZrGybfxlAMT8BqF98WqTc1gIw9K1G8kWB45tfGszum+T2uxYJgXhQcQMkzXOzd12n5OxpthxZ4QA2LhvDAtSDgOwqrT6pBv0FpbX8es3d/LE6mKe33CQB5bs5K1th3t8U18RaT8lTiIiIqepg7UHeav4LQC+OOaLLQeYJuMbqk17hs+jPinepa7uAzdEDSzJUWzZXb/nUGPiNKAL9286kcaq0xrnZqJ0XXOLjjALcrAaEUrCYxl7cCU2i8GhuiB7fa1X25bvPMKjqwqp9ofxumwMyfBgAm9tL+OPK/b2bPAi0m5KnERERE5T/9j2D2JmjNm5sxmePrzF6zmHNtOvfA8Rq4Pt4+KNlKI+C/6NLgCcw0OcYM/5U1IcjF8/twcSp3HhESTHPPgstWyzJybpsDitDBkVr/ZtKpnKtemHAHit+GiLsZsOVPHNx9cRjZmMzfVy24Wj+Pq8YSycEG/q8X+v72DLoeqeC15E2k2Jk4iIyGmoLlzHc7ueA+CLY1urNsWaqk27R55HwJ0WP++9eLXJmh7Bmtn1FZr6qIUj4XgS0ROJkw0r04PjAVjt3Njt9zuRAROH4rQFqI4O4GLfDgDePlhJReDYhsK7y2q5cdEa6kNRhvdP5vMz83DY4h/F5gzLZPwAL9GYyU9e3KIpeyK9kBInERGR09C/d/+bmnAN+d585g6c2+L1gfvXk15ZTNjmYsfYBQBEyq0EtsaTmu6rNsWn6aVbA7gtPTN1bmZoIoZpsNtezGFL17ZVby+b3UL+uPimt9uPnsXnkgoJRGP8cetBYqZJYXkd1/11NRV1IcYP9HLNrMHYjmtXbhgGn5w4AJvFYE1RJT97ZRtPri5ueohI4iW8HbmIiEgiPbPzmVO+xmdHfrYLImm/cCzMY1vjm8NfM+YaLMbH/g4aizXt27Rz9IWEnPFOb7UrPWAaOIcHsaZ2Xfvx4/Xk+qZG6bFUxoaHs8Wxi1Wu9Xy6/qIeu/fxssfkc2D7euqC6VzqX8+/jHxWllRR5PNzdEkEfzjKsP5J/O1LM3l9y+EW56e67UzPT+f9vRUs3VHGsP5qZy7SmyhxEhGR01ZXJD2no1f2vsLB2oNkuDK4YvgVLV4fvG81Xl8JIYeHnaMvBCB0wEZorwMMk6S59YQP2LsltsbEqSum6e2MtkwuTmRwfQFbHLtY79jK8NpRuMz4OquR1uxTjqO9LFaDgknZfPRBHdsrZ/PAxBK+u38gB+rircZnFmTw2y9MITO5ZffDRueO6M8HhRXsPVJHcUU9gzM8PRW+iLRBU/VEREROI9FYlL9s/gsAN467EbfN3ex1IxZh3OYXAdg+dgERhwfThNp34h/AXROC2DK6p9oUjhkcDMaTgp6sOAFkR/qTGc4gakTZ4drVo/c+XubwgaR5qgmbHtKKSvjL/FHcOWUI//rGbJ762llkeV0nPT/N42ByXjoA7+9t2VxCRBJHiZOIiMhp5PWi19nn20eqM5WrR13d4vX8vatIrj1CwOVl98hPABDa7SBSYgebSdJZ3ZfQHAo5iWIhyRIh1RLqtvu0xsBgXGAMANtcOxPWmtwwDPKnD4nHUT2LnMMrmTcgnen5GfENc9thVkEGAB8drKY+2PXt4kWkczRVT0RE5DQRM2P8efOfAbhuzHV47M2ncVmiYcZ+9DIA28YtJGpzYsYa1jYBnml+rMnd162tcZreEJe/WxpPtCU/OJg1nvX4rX6KnPsYFhzabffqX7Gu+QFLUtPTNCArKUBZ3UCKNhxkECvB/fGE9fwTXntQupvcVBcl1QE27K9izvB+XRa3iHSeKk4iIiKniZf2vMTuqt2k2FO4Zsw1LV4ftmsZnvpK6j0Z7B0+D4DAR06ilVYMdwzP9EC3xtfYUS/P1frGr93NipUxgVEAbHFvxyRxLb0HD4v/bXp3/Uwo29qhcw3DYEZ+vOr0QWGFWpOL9BJKnERERE4D9eF6Hl7/MAA3TbyJFEdK8wHBWkZvfRWAreMvJWa1Y4ah7r14tSlplh+Ls/s+gMfMYxWnwc7uTdBOZlRgOFbTylFbBYdtRxIWR7LXxiBvEWBhz/4MiHVsyt3kvDQcVgtHaoMUHe3Z9WIi0jolTiIiIqeBxVsWU+YvY2DyQK4dc23LAR/8EVeghtrk/hQNPRuA+vVuYnUWLKlR3BO7N5k5Gnbgj1mxGzFyE5g4uUwXwwIFAGxxb0tYHAADh7kxiLA/MIGDHxZ26FyX3crEQakArC5UkwiR3kCJk4iI9EmmaVIdrKaouojNRzazpXwL249u50DNAYKRYKLDa+Zw3WEWfbQIgNum3YbD6mg+wF8Fqx4CYMuEyzEtNqK1BvUfxCtAyWfXY3TzquZ9DdWmgc4AtgSsbzreuMBoAIod+6mwVCUsDneSjYKMIgDe3VyAGelYw4xZBZkAbDnk42ht7/o3KdIXqTmEiIj0GZFYhB0VO9hZuZM9VXuoj5x4ClSaM43hacMZmTGSAm8BVou1ByM9xjRN7v3gXgLRAFOzpnLhkAtbDlr1EASqqU4dQPGQmQDUrfJghg1sOWGco7u/w11xMN5me7AzMeubjpcWTWNgKJeDjhJWOTdwmf+8hMWSM8xLcWWAstAw9q59m2FnDWv3uQPT3QxMc3Owys8z6w7wjXntP1dEup4SJxHpWWsXdf7c6V/qujikT/GH/aw5vIY1pWuoC9c1HbcYFlIdqXidXgwMIrEI1cFqasI1VAWrWHt4LWsPryXJnsTUrKlMy56G1+nt0dhf3vsybxW/hc1i4wezftCypXX1AXj/9wBsnvRpsFgIl9gIbIknMinn1fdIh7uiQHwtVX6CGkN83Dj/GA46Sljr3MwnAmeRZLrbPqkbOJxWhvUvYkfZaN7fPob8qT6sjpPv5XS8WQUZPLfhIE+uLuZr5wzFYklwOU+kD1PiJCIiZ6yYGWND2QbeLn4bfyT+gT7FkcKEfhMYkT6CQcmDWq0k+cN+9tfuZ2fFTnZU7qAuXMc7B99h1aFVTMmawtyBc0l1pnZ7/KV1pdy7+l4Avjnpm4zKGNVy0Ns/h0gAhsyhZOAkTBNqljZsdjs2gD23+/cBqgzbqIrYsWAmrKPexw0I55IRSafCVsn7zo2cH5idsFj6F2RSXO6jKpLLtvf2MH5eXrvPnTgojVc/KqG4op6Vu8s5d2T/boxURE5GiZOIiJyRjvqP8vzu5zlUewiA/u7+zB04l7GZY9ucdue2uxmZPpKR6SNZEFvAjsodfFDyAcU1xaw7vI6NZRuZnjOdcwedi9vWPZWMSCzC/6z6H2rCNYzPHM+Xx3+55aDSzfDhP+LPL7oH6vYS3OogUmrHsJskze2ZbmyN1aYBzgBOS+9onW1gMLF+PMu87/Cucz3nBKbjwJ6QWGx2C9NH7+WdrZP5YM94Rk4vhXYWnRw2C1Py0nlv71GeWL1PiZNIAqk5hIiInHE+Kv+IP2/6M4dqD+G0Ork4/2K+PunrTOg/ocNrlawWK2Mzx3Lj+Bu5YdwN5HvziZpRVpes5rcbfssHJR8QjoW7NH7TNLl39b28X/I+LquLn8/9OTZLK3/rXPIjwITxn4GB04iFoPad+Easnln13brZ7fGKGhpDFPSSalOjIaE8MqJp1FsCrHFuTmgs42am4rWX4Y+l8eHK6g6dO7MgvqfTkq2H2Xe0ro3RItJdlDiJiMgZI2bGeL3wdZ7b9RyhWIjBKYP55qRvMit3Fhbj1P8vb4h3CNePu55rx1xLf3d//BE/rxW9xmde/AwrDqzoso1K/7blbzy982kMDO49516Gpg1tOWj3W7DnbbDY4RP/A0D9B/H249bUKJ6pPdcSvDFxynf1rv2GLFiYF5gBwDuuNUSIJiwWq83CWRMOALDhwESclQfbfW6218X8Uf2JmfDI8r3dFaKItEGJk4iInBHC0TD/2vkvVpeuBuCcgedw/bjru6WZw7C0YXx90tdZWLAQj81DYXUht7x1C19f8nV2Ve7q9HVN0+TvW//O/evuB+CO6XdwwZALWg6MRWHJj+PPZ34NMgqoPuKnfl1D+/F5dd3efrxRVdhGZcSBBZPBvaziBDA1NJaUWBLVllrWO7YkNJbhkzPIchcTNt04V67t0Lm3nDccgGfXHeCwL3H7ZIn0ZVrjJCIip71AJMCT25/kQM0BrIaVK4Zfwbh+47r1nhbDwvSc6YzvN54j9Ud4fNvjvFfyHle9dBWXD7ucmybcRJ63/U0AwtEwP1/9c57d9SwA1429juvGXtf64E1PweHN4EyFc+/ANE1W/vktiHqwZx3BYX0fitq44dHB7Y7tZBqrTbm9aH3T8WzYODcwg1c8y1jmWs200Dis9Fxr+cLy+NS62sIKAHKGBinbMpj95aMYdGAzNYMmtOs6M/IzmJmfwQdFFfz27d3cc8X4botZRFqnipOIiJzWApEAj297nAM1B3BZXXxx7Be7PWk6nsvm4rbpt/HvK/7NhUMuJGbGeH7381z2wmV8/53vs7Z07Umn8JmmybL9y7j6lat5dtezWAwL353+Xb47/bstW48DhP3w9s/iz8+9HTwZ7N1whKJiDxgxUiZ+1CPtxxs1NobobeubjjcrOJHkmIdKq4/1jq0JjcWR4yQ3aScxbMTe3wsdmN5520UjAXhi9T62l/q6K0QROQFVnERE5LQViAR4fOvjHKo7hNvm5rqx15GTlJOQWPJS8nhg/gNsLNvIHzf9kZUHV/LK3ld4Ze8rDEoexNkDzmZ8v/EMShmEgUF9pJ4NZRtYdXAV2yq2AfFW6b845xecO+jcE9/o3d+A7yCk5sHMrxP0R1jx1E4APCN3Y/PW9sTbbVLYtL6p9yZOduycG5jBq57lLHWtZmpobI9WnT6u/2gfJetiHKgZx4jtyygf074Nes8amsmC8Tn856NS7n5pK098dVbrybWIdAslTiLSIyqfejr+ZN/Gzl9kz9NdEov0PrsPOTt8Togw//Q8xiFXKe6ok+sPLiRnN6Slt3/tSOUl0zt837ZMzprMHy74A1vKt/DMzmd4reg1DtQe4OmdT/P0ztb/DbusLq4dcy1fGv+lk+8PVbkP3omvf+KCn4DdxfvP7KC+OkSqN4xjdOfXV7WlvDbU4lhN1E5lxIHRS9c3HW9WcBIrXGuotFaz3rGVGaH2TZHrDo40K9lZJRwuG4hvYwBjRADT1r7+5D9YOIa3tpfx7p6jPLG6GMsJEqdrZnXNVEwROUaJk4iInHaiRHkk+SmKHaU4Y3auP/xJcsKZiQ6rmXH9xjGu3zi+N/N7rDq4ik1HNrG5fDPl/nIAbBYb4zLHMS17GucMOod+7n5tX/T1H8Q3u80/B8Z/hoM7K/loRbw72/y5R3nPGuvOt9TCwXDD/k2OIC5Lz967oxzHVZ3edr3HlNAYbAn8GBSaOxXr8/s5HBjB6A2vcXjGFe06Ly/Dw50Xj+Jnr2zjZ69s5RvzhpGV0s5NoUTklChxEhGR04qJyWOeF9no2I4tZuULhy8hJ9SOpCNB3DY3Fwy5oPXueB2x+03Y/jIYVljwK0LBKG8/Fp/iN3ZOLoMG7IOKLgi4Aw6G43tG5bt7VxvyEzkrOImVrnVUWWtY7dzEnODUxAWTmkK/IdUcLurP4e1pOMaXE2pP8gx8eU4By3YcYeXucp5cXcw35w3DaU/c1EORvkLNIURE5LTyqmsF77jWYZgGVx05nyHB3ESH1P0iQXj1zvjzWd+A7LG8+9wefOUBkjOczLlqRI+HZJpQHEoGendjiOPZsXO+fzYAS13vE6Tl9MOeFJg9HYelnsrIIPq9/592n2exGDzwuUlkpTgpqwnyr/UHumwPMRE5MSVOIiJy2lhr/4hnPUsAuKb+k4zy5yc2oJ7y3u+gYg8kZcH871G85ShbGqbonX/9GBzunp9AUhV1UBNzYCXW6za+PZlpoXFkRtOos/hZ5Vqf0FgsLjupY+JrlIqKR5J+5MN2n5vldfGHL07DahhsOeRjxc4j3RWmiDRQ4iQiIqeFfdZD/Dn5XwBcEJjN+cGzEhxRD6k+ACv+L/78onuoC7p4c3G8pfaEeQMZNDojIWEVh+PVpsGuAI5euH/TiVixcqF/DgArXGuoNRKb9IWnjcftqKEulol71WqMWKTd504bks5lkwYA8MbWw+w8XNNdYYoISpxEROQ04DPq+G3yE4SNCBNDI/l8/YJEh9RzXv8hhOsh7yzM8Z/jzUVb8deEyRyYxNmfGZ6wsPY1TNMb7q5LWAydNSE8ioGRbIJGiDdd7yY0FsNq4JwVn266vXIug7c/26HzZxZkMH1IOibw1Jr9VNQldvqhyJlMzSFERKRXi3fQ+ydHrdVkRzP5Wt1nsfSVv/vtWQpbXwDDAgv/j3VvFHNgeyU2h4WLvjoemyMxDQGipsHBULwxxPAONoZora15p5km9mAQpz+Aw+/H4Q/g9AewBwNYwxGs0SjpURtGJIIlGsEIhzGiUTAM/p81wn57lKhlPWmxcpyGC9NiIeZwEnO5iTrdRF3uhucuYi43kaQUTLu96+JvNCyblC0l1FSkUPVhDHdBKX538/3InlxdfMLTPzVpAId9AfZX+nn8/X18c/6wE45Xm3KRzlPiJCIivdozntfZbi/EaTq4teZaPKY70SH1jFA9vPyd+PPpX2FfxUBWvxhfA3Pu50eSkZuUsNBKwm7CWHEbEbIdwW67jyUaxVVTi6e2FndNLe6aGtw1tXhqanHV1uEIBLB0simCGzjWwH5fu8+LuJOIeFMJp6Q1fE0l7E0DZx4kJ0MnNqQ1DAPj3DEYLxRTFJjBWR88yY55t7X7fJvVwjWzhvC7pbsp9QVYvvMIF4zJ7nAcInJySpxERKTXes+xkTcaplJ9tfYzDIxlJTiiHrT051BZBN6BVE24kzd+vQVMGDMnl9GzE9tJsGl9k6MWS8fzhBZsoRDJlVUkV1WTVFVFcmU1yVVVuGtqac/lQ04nIbeLkMtF0O0i7HIRsduI2mxk2NMwbTZiVhumzY5ps4FpYsRi1Jo1vOl8B0yTufWTyA6nYwkFsAYCWIJ+rAE/lmAAa6DheTiEzV+HzV+H6/ChFnGYniTIzoHsHMyGr5husLZdGbSmu0gZBr49sKN4MrmlKyjJObfdP8NUt53LJg3gHx8Us3znESYPSqNfSsc3lhaRE1PiJCIivdI+6yH+lvRvAC71z2NaeFyCI+pBB9fB+78HIHjBr3n10b2E/BFyhqYy7/OjMDpR1ehKxaEUIJ44dYhp4q6pJbX8KClHK+JfKypx1Z94ul/EZsOfkow/JZn65GT8KSlN3wc9bkKu+BS7ExlpPXnlJeT2845rHRui+/mO7xPYT/LRyBIMYPNVYfdVYa+pjj9v/Oqrwqivg8I9ULinKeEbarES7JeFMTyT6JAcooOzMZNbr5oas4Zh37edyshghq/+F9ZLZxC1tr/COn6Al5HZyew8XMsrm0u44ez8dp8rIm1T4iQiIr1OrVHPb5OfJGSEmRAayRX+87vlPumvre2S67zZBdeZlj0t/iQWJqXo59jMGHXJZ/PqE1BZXY/bGWV2zl58z+1p/QL7NpJed7Dd9zPqUzoUX0Yo3u2tBjtlLhcYMLHsEJ6q1qfKZQTDuOtq8PiqSfJVkeSrwlNTjS0SbnV8yOnCn5yCPykFf7I3/jUpmYjD2er0N1s92OrDJNH69RpZjZNP5bvQMowPx2ylwlHFO4GlXFg64aTjo0DUmkYgLQ3ShjQdN6IR7DWVOGoqcdRU4PDFn1uiYVxlJVBWAu9+BEAsyc2IAe8SzBpAIGcQ0ZTUpuvUeD0crhjEh5ULmL5tEdvG33zSeI5nGAaXTRzAr9/cyY7DNRRX1DM4w9Pu80Xk5JQ4iYhIj1t3eF2z76t8g5qex4jxRPZ/OGqtIj3sZUHpbPbHDvR0iAnjKn8JW/AgEUsqb1beTFm1Hbs1xvwJPtzOxLf93mVNB8NgQKyGFMKADSMaxVnjw+Wrwl1diau6CqevCms02uL8mGGhPsVLvTeNupRU6r2p+JO8RLuj6UI7uGJ2Lj04lScLVrE0+yOmVuSTGepYUglgWm2E0voTSut/3EETm78GZ9UR0qt3Y6nwYampx1LnJ3nXVpJ3xdvKh1NSCQwcQmDgEMgeRLU3i4AvicqPLGQM+oiKtPHtjiMz2cmUvHTWFVfy1rbDfGlOQYffi4i0TomTiIj0KkvT1rLXfRB7zMbVZRfhjvWddRrW+t24jr5GzLTwZvDnHDiahMVicu6EGtJTWiYhiVBoJjO6ooiFRzdTUFVESk01zprqVps0RK1W6lNSqfOmUedNoz4lDX9yykmn1iXCpKohrPHtYZe3lOfz1vCVPedhtGt1VRsMg4jHS8TjJTm/4VgojKWihkC9G2fZIZxHDmOvqca+fRMp2zdhWizYxl3A9szL2ea/gAtX/4aqC35FzNr+/w7OG53Fhv2V7CqrZX9FPXmqOol0CSVOIiLSa2z3FLEybSMAlx09l+xwYjZ3TYhYgKRDj2KaBm/U38OemoEYhsmcsTVkp598Olp3sQaDuHxVuKqryK6qwOOrZnpdLVZaJkkRu51AajqB1DT8qelUeFIIeDrXZa6nGRhccWAGvx79Cju9JazL2Mv0imHdczOHnVhOBtUZ8amZRiiIq/QAroP7cB0qxl5TzYDNb1A9qj8luWfz7u7PMH3Xf7H3/G9SO3J8uxpNZCQ5mDQojQ37q1i1p5zPZ6gFuUhXUOIkIiK9Qrmtiuf7LQVgVvV4JtQlbnPXRPCU/hMzVM3rvh9Q6B/blDTl9e+BDU1NE0d9Ha7qqqZEyeWrxB4ItDq8wpmCkeKh3ptGNCOTQGoaYbenWZIUaFgTdbroH/RyYclE/jNwIy8NXM8IXy6pke6v1JgOJ/7Bw/APjidqNl8V0aRksj7aRHloAnWeAezfO5IRv7iTSFIK1VPOonrq2fjGT8V0uk543bOH9WPD/io+OliNb3wYrzsxUyFFziRKnESkW5imSbSykmhFBdHKSgLbthGrryd2qJBYIIQZDGOGo5jRKGYkihmJxb9G41+JxeJ/0zaBxilAxvL4c8MAqxXDam36algs8ec2G4bDgeF0xr86HFgavjZ7OJ1YnM74OJcLi8sVf97LphD1FUEjxFNZbxCyhBkSyOXCyrMSHVKPyg7uIuLbwktV93A4PBKLYTJ3fA2D+nVx0mSaWAIR7NVBMsp34az14fRV4/JVY422nugEk5IJeNPwJXt5O200r2eOZ4StloXhQgCSHWfOR4lzy8awOa2YA0kVPJ+3hhsKz+2aKXsdEPGmcfS8hXDBp3BsryD8XgVFBQvIrt6Au7qMzJVLyFy5hKjDiW/KWVTOmo9vwnRMh6PZdQamuxmS4WFfRT2rCyu4cKz2dRI5VWfObzsR6VFmJEL4wAFC+/YRLikhXFJKpDT+NVxaSqS0FDPU1X8pb/7BrjuWyRsOR7NEyuJyYXzsucXpxHC741+PP+Zyxc8/DaYm9SYmJi/2W065o4qUiIerjpyPlb6TwLqjVfSrOsC/Kn9Fbaw/DluMc8af2vQ8IxzFWhvGVhuKP2qC2HxB7L4glnCsYVTzTV9jFgsBbyoBbxqB1DQC3jSC3lRitnilwheK8LJrOrWGg5HB/U3n1Z5mlaWTsWLhc8WzeWjUf9iadoC1GXuZ0V1T9trBPiode1Et4RIonPk5Jnlf42DNBFLXv4uz/DDpq5eTvno5UbeHqmlzqJw1j5qxU8AW/3g3e1gm+yrqWbuvgk+MzsLaFZtuifRhSpxE5KSiPh/BnTsJFhYSKiwiVFREqLCQ0P79EGn7A5M1NRVrWhpmNIrF48GI1WJx2rG47Bh2G4bNimGzxL9aG55brWA14n/pNTg2/WfgtPhz04RoQ7Uq2lCdikbjx8JhzFCo6RE77rkZDDZ/LRjEDASIBQJN76XpNZ+vcz8ww2ieSB33/OPJWFOVy+XC4nCAzRavmNls8eeNVbUz3FJHIVvdhVhMC589ciHJ0b6zkN2IRTBKbLzg+xkxbKS4I8yb6MPriZ3wHNM0Mf1+oj4fMZ+PaOPj4E76VVVjqw1hDZz4v03TgEiyA39Sf4IpXoLJXgKpaQSTkuEkFddDRjK1hgOHGSE/Vn1K77s3ywmkcVHDlL0XBq1hSF1/soLehMRiGAaeubnUPF9EaXgMw0LvYZ8/kK3X/A1P4U7SVy8jbfUKHJXlTZWoSLKXqhlzqZw1n7EjxuJxWKkJRNhdVsuonI53CxSRY5Q4iQgQ/zAWPnCAwPbtBLdtJ7BjB8Ft2wgfOnTCcwyXC8fgwdgHDcKek4MtNwd7Ti723BxsObnYs/pjNEwfqXzq6fhJ+1Z1PsjMzM6f2wYzEiEWCMSTq0CgWVLV9PX4Y8HgsdcajhOLQeOHWr+/awKzWOKJVOM0RJst/uHWMOLTCg0j/rBY4pWuhucYBoZhYDZOczTNY4+G781WjjU+Wj3PNBumT7Z+3snu1TTFsiG+HDMKBkQsJgstYS4xwGW6cJhLwLBgNo41DEyLBdNiJWaxYlqtmBYrptXS8NV67DWLBdNqxZlUB1ZLfEzjw2Y97pi16ThWK6at+XGslh5paBCoT6Lm0EAqQvF20YOSy5na/xD2g3X46+riU1s//qitJerzQbj1atTxfdeiDivRZAeRZAeRFAcRr5Ow10kkxQFWC1X1YzsU71ZrPwBGRKuwdUu9t/eYVzaWXd4Sdqcc5sn8ldy682JsZmL+iGFJtuOamUX9u0d4v+Zartp4F5XeMVQPHUX90FEcvPomknZtIX31ctLWvIPdV0W/pa/Sb+mrhNMy+O7QafwzeTTr93m7NHF6Zuczp3yNz478bBdEItJzlDiJ9FGRo0fxf7gJ/4cf4t/0IYHNHxGrrW11rG1ALs6hw3AUFODIH4KzoABHfj62nJwzZk2QYbNhTU6G5OROnW+aJoTDJ0yqGr8/4WuhULxiFonEE7BGsVjTlMcz6aOq9bivxz7sBwjZbdQm5VDvycbvziLoTCPoTCVs8xC1uohZ7RhmDCMWxTAjWMwo1mgQR9CHM1SNw19N+Gg1rsBRPPUluIKVGJ34yZkWI55I2Szx1tm2xmTNEq+CfqwaatLwvDHfaqiMGtEYxEyMWKzpediSRHHOJziYczYYFizRICN3PUNu6Xu0/l9g6wyPB6vXi9XrxeL1YjWrKHYE4olSsgPT0XUf9E1gizX+h4tx0SNddt3eyoLB1fvO5tejX+WQp5JXBmzg8oPTExaPY6SXUGENkRJYVvl1zl9/O0vmPEnElgQWC3WjJlA3agIHrv0mKds/JO395aStXYm9qoKz1i/hLJZwaF0/ovsvIpR9HY78/IS9F5HTmRInkT7AjEYJbN+Of926pmQpfKDlhqKG3Y5jxHBco8fgGj0K5+jRuEaNwpqa2spV5XiGYYDDgfVjC7Q7o2kKYiSCGYk0f96YWJkmZsNXTDOeYB33vLEC1FSFigfZ7GG0cqxx3InOMz52bH+5g3gSYQBGvFJ0/DmNCQYGcKwSVVRbxAuZbxPAQoFvCmN8swnFUoni7twP7QR/SLfEwrjD5biD5XgCh0nyl5BUdwi3vxxLJBpPaCJRiMaatQAwYiZGLAJd2AXc78pk/6DzOJQ7h5g1/u+kf9l6Rux5DkfUhzUp6dgaO4+n5SMpKf7werGmpGB8fMPYfavw1x3suoCPU0wS1RYXdjPKiFhVt9yjuxw2OzntNgQX7ZvIC8PWsCprB4PqM5hWObRrg2snwzBImpuN74ViDodHsfPwLGZt/hGrJt/XvDpqtVIzbio146Zy4IZbSfloHenvLSNp7SoG1JXDS0+y56UncU2cSOqll+JduABbv34JeU8ipyMlTiJnIDMaJbBtO/UffBB/rFtHrKamxTjH8GG4J07CPWkS7kkTcQ4b1vLDmPS4prVNXZCEdbeY2bHNaU0TqvzwftIRRh65mUz/AACOn9hotQax2oLYbCGs1jAWSwSLJYJhxDCMxumCBiZG/KtpIRqzE4vaiMVsWCwRwiEPoZCHmMVOnTOXOmcueCc03cMwIjiddThcNTidtTgdNTgdPmwEsMQaEqloFCMaw4g0VIuiUYxYY/LHsUpWw/dNzwHDNDENg7DFgy+WR2VkKHXRnKb797PsYqbrSVwTa9hyzvlgtTAte1oHf/o950MjXm0aFa3AzonXX51phlXncFbJCN7P3cWzgz8gO5DGIH9i9hazJNvxzMmibtlh1tVdxRXF/4+x3r+yddhXWx1v2uz4Jp+Fb/JZrN56AN+bb7GgdCMTSncQ2LSJwKZNHP7lL0k6+2xSL7uUlPPPx5KU1MPvSuT0osRJ5AxgRiIEtm2j/oM1xxKlj027syQl4Z42Fc+UKbgnTcI1YQLWFC0Ulp7hDxkcrbZT7rMTilgoYBYQ76jnsPtxOGtxOOqx2f1YLKf2wTwtPV5NNU2DcMhNKJREMJhEKJhMMJhCKJiEadoIBFIJBJpXU63WEA5nLU5XDXa7H7s9gM0VwGYPYLMFT7j0Kd6vxBG/XzCZQMCL359K0H/89U2Sk8qY41rMMNv7VNuyWe+9DIzePd01Bmwy4snC+Gh5YoNJgLNLRlHlqWN76iEeG7qcW3Zc3CP7O7XGUZBC+EA9od01LKn6bz63/XZ8SQUcyDn/pOeNG5bDL3ZOZWneVF6/YRz9166k+qWXCGzaRN0771D3zjsYbjcp559P6mWXknT22fojmkgrlDiJnIZM0yRUWEjdylXUrVpF/dq1xOrqmo2xJCfjmT4dz4wZeGbOxDVmdLyxgEgPicXgaI2NI1UOagPH1tsErX6K0jczyGIj3/BgsUS75f6GYeJw1uNw1pOccmxdTmNCFQymEAzEk6lgMJlwyEM06sBfn4G/vrWqghmvelmix62bMoiZFsyYBU7QQt1m95OWdoC01H2c5X+G1GgZ9RYvH6ZcQszo/f9NFpNMleHEYUYYFqtMdDg9zsDgC/vm8JuRr1HuquHR4Uv5xs4LcccSUxH2nNWfSFmAWl9/llT9N5d8+APeci+mMnXMCc9JdtoYlZ3CttIanivyc9d1XyTjui8SKiqi+uVXqH7pRcL7ivG9/DK+l1/GmpGBd8ECUi+7FNekSdpiQaRB7/+NLSIARKurqXvvfepWraJ21Uoih0qavW7xevFMm4Zn5kw8M2fgGj26T7Sylt4nEoWyKgeHK+2Eo43JhAnJVbyZ8yKFGZu5oHo6Q30TgO5Jmk7m+IQqxXu46XgsZiEUTGpKpOrrMohF7USjNmIxO2BgmlbM6In+uzKxWMJYbeGGapUfu6MOqzVKRloRk2r+Q2q0jLDhZGPKQsKWTq7n6mEbG6bpjY5WYD+jWpS0nzvq4Kt7PsFvR75OibuKvw9dwZf3nJeQTnuG3ULSeTnUvHyA/aEpbKy+jHnrbmXJWY9R5xl4wvOmDE5nW2kNL2w4yJ0Xj8ZqMXDk59P/1lvod8vNBDZvpvqll/G98grRigoqn3iCyieewD54cHw91GWX4iwo6MF3KtL7KHES6aXMSAT/5s1NVSX/pk3Nuq0ZdjueGdNJmjMHz1lnKVGShAtFDEorHJRV24nF4n+hdthiZKeHqErfy4MZfyVsRPhEYBazfOMTHG1LFksMl7sGlzu+HrCqclDTa/GeGzZM04IZszZLHywNVSiLJYphtEwsDDPKhNo3yYwcJIKdDSkLqbemtRi37vC6U3sD3dAYIoLBhobEqS9O0zteRiiZL+85j0dGLGF3ymH+XvAO1xWek5DkyZbhxHN2f+rfKWNN3efob9/DeWu+zpKz/kbQ2fq2DaNzUnDbrRz2BVm1u5xzR/Zves0wDNwTJ+KeOJHs791J3XvvUf3iS9S8+Sbh4mLKf/97yn//e1wTJpB62aV4Fy7sqbcq0qsocRLpRcKHDlG7ciV1q96l7r33WmzC6hg2jKQ5Z5M8dy6eGTOwuE+Pv1jLmc0ftFBSaedotT3esAFwO6LkZoTI8EYosh3gYe8iwkaESaFRfKF+IQfonu5v3cUwwGpte8PnFueZEWbxDP3DRUSx8mHKJfhs2d0QYffYRhp1hh2vGeqT0/Q+bpA/gxv2zmPRsGVsSz3IYwUruK7wXOwJSJ6cw71EjwQIbvfxRvUdfMb6fc5b+03emvlXwvaW61dtVgsTB6WyurCCZ9cfaJY4Hc+w2Ug+5xySzzmHWH09NW+9TfVLL1K36l0CmzcT2LyZw7/8FUMmFlA9fyK+s8YQc3esSYzI6UqJk0gCxerrqV+zhtpVq6hbuYrQ3r3NXrd4vSTNnk3S3Dkkz5mDfcCABEUq0tKRahs7D7qoqj22iDzFHSE3I0RqUhTDgGJrCb9O+RtBI8TocAHfrP08VvpGZdRihpnNP8llBzEsbEq+iEr7iadStcfxVbAW6rv+w+taS/zD9VSzvI/8r9a2EbU5fHnPfBYNW8b21EMsGraM6wrPwR3t+TVP7ln9iVaHiZTAy1X/j89avst5a77B0hmPtJo8TR2czurCCl7fUkpNIEyK6+QNICweD6mXXUrqZZcSOXoU339eo/qlFwl8uImUDbtJ2bCbmMOO76zRVM2bSO2U4WDTvxQ5cylxEulBpmkS3LmTupUrqV25Ev/adZjh4zaKsVhwT5pE0pw5JM+dg2vCBE2/k17FNOHgUQfbit0cqW780GWSnhwhJyNEivvYdNK91gP8OuVv1Fn8DAvn8e2aL+Kgb3TqspkBzuZJsthLBDubUi6iwp6X6LA6pAYb20gDYIZ55m962xHDa3P48p7zWDR0GbtTSvn9iDf40t75ZIQ6t4F2ZxkWo2m9U50vk5eqfsSnjR+cMHkalO5mWP8k9hyp4z+bS/ncjPb/m7RlZpLxxWvJ+OK1hPbt493FvyRt+Sach46StmIzaSs2E/F6qJ47nqp5E/GPGgRnyAbpIo2UOIl0s0hFRXzq3cqV1L67iuiR5usEbANySZ4zl6S5c/9/e3ceH0d1Jnr/V0vv2iVLlmzLlndjA17kGNssEyAEQ3gh4ZLlJkAumdwhEDa/mYEkc28yuQRPwpt5yYTA4LBMEpKBJAQChBAcAnZYbLCxwLu8y9Zq2ZK6W71W1bl/lCRLlmzJi9xW+/l+Pudzqquqq58uSa16+pw6h9DCCzDy8jIUqRBHZzuwt9nHlroAHTH3X4euKYrz0owuTBPw9R1CvNbcw0O5vyShJZmUHsc90Zvwc3Z05wmodi7kl+TTTBovb3Mj1ggc2vkDrQRH06hUUcpIEB38KWeVSdEyvrb9Ezw18U2aAx38ZOqrfGHvYqZGyk9rHLrPIOcT5URe3s/B5ARe6vjfXKt9h0vf+3verH6kzz1PmqbxmbljefDP2/jdB/u5fl4FLbEW6qP1NHQ2UB+tpzHaSFuijXAq7JZkmEg6gqMcNA5Pgu1McvBN8TK1uYRFGyxmfxQlJxyj+JX3KH7lPdJFuYQvmEF44Tl0zhoP8iWgyAKSOAlxiql0mnhNDdG33qbzrbdIbN7cMykmgBYIEPzY/J5kyVs1QYZ6FWestKWxo8HP1v1+4kn3wsdjOEwZk2Dq2AQNB/snBGs9G/lZzu9IaxbT01XcGfnSWZM0Fap6FvE0ASLEyeVtbqRdq6CA/ZkO7bgo4H3N7aZXLa1NRzUmXsQdtVfy1MQ3aQi28fjkv3Jx8wyubDz/tA4aYeR5ybmigsirDTQlp/NKx7e4mvu5YvWNvFH9GNHQOBJ2J82JHey3V+IvP8hG1UT1001Y6vjv3euWtJOsLYK1l4B+keLcPToXbVRU71AED0V6kqhUjo/IghlEFs2kc/YklEcuP8XIJL+5QpwCqbo6d1CHt94mtno1TizWZ7tv2jT3PqULLyQwbx66NzPzf5wRlIOuomgqjq4Sbk0CTSUB5c6PoxR0jVumNK9b8OJ0mCgjhOMpxvEUg34Wn8dhFkvq1O73s73BT9pyu9sEvDbTxiWYXJHAa/YfPU6h+LP/bX4TfBWA81PT+Fr082dH9zylqGIts3kZA5sOyniLG4lrBZmO7ITsIpcmLYhH2cxRBzMdzhktPx3k9toreHnMB7w7ajuryrawNb+ea/fNZ0p09GmLwyzxk3N5OdHXGtiXOJ/f6d8hEPz/WLflK7xbMI5Gq5nuz1VPgfscS4Gu6RT4Csj35ffUOZ4c/KbfLYZb613zlKmuYzjKIWkniVtxouko4WSY9tHtvHD+AZ4KtzBlV4IF2xTzaxV50STFr9dQ/HoNab9JpHoq0UWzcMZchR4KnbZzJMTJksRJiBNgHThA55r3iK1ZTefqNaT37euz3SgsJLR4MaELFxNatAhPaWmGIs0gpeDgDmiogdZthPa/jpFsRE819Zo89Dg1rOnz0DELcDwl2N5R2L4KbN9YbP84lJl/8vGfpQ5FDLbuC7C3xYdSbktoXtBiRmWcCWVJjKPcspAgyS9Cf2C17yMALktcwBdiV/VcbGUzQyWZw8tMYD0ADUznPf4blubPcGQn7i3dveCfp1oJZGCurZHGo0w+vf9jTImU89y4NbT4w/xsyuvMah/H5U2zqIgPNKHy8Vvf/qcB1yvlELEOcshuwDPLZMGGq2iNzWL/wW/x6qifYVlNAASMPCrzynGSo/modiy5Zhn/dG0Q8xTfi6SU4uCcg+yP7OcnbbsxN9Ry3qYYH6tVFEcsit7aTNFbm9n60AvkLlxI6JKLyb3kEjxjTm7wFCGGmyROQgyB1dZG7P33ia1eQ+eaNaR27uy7g2kSnD3bvU/pwgvxnzMD7Wy7KTYdh/1rYd8a2Pce7H8f4od6NvduG1IYOFoApQVwNL9b4wN0d9xnuotCU2k0lUQjheYLoNkRjPRBNCeBbrWjW+2Y8R19QnGMXGz/OCz/BOzARKzARJTZf4Qp4XIcd8CH2v1+mtsP/6RK89NMHxdnTEmKY/Um3W8082jOMzQaB9CVzudiV3J5ciEa2d8FtVjtZT6/I4c2FBobuZxtXATayP37b8PLRgoBWKyaB9lb9DarYxwTo6W8Vv4R75ZsZ2PBPjYW7GNaRwVXduRwXrQAU53874ajbDrSzRxKNdCWaqQ93YilUu7GILTOqGPJlv/J2PBUbtx4J+eULKPabmZ7yXwa5n6ahPKyZUOAtohG7f4E51Q6x37B46RpGiWBEkoCJcwunY2aqmi6solftW4mtuEjZmxoZ8FWxej2FNGVK4muXEkz/wfv5EnkXHIJORdfQnDuHLQReG+gyG6aUuqsmgY8HA6Tn59PR0cHeXITvjgKOxwmtm4dsTXv0blmDcmtW/vcp4Sm4ZsxndDHFhC8YAHB6mqMnNM7mtIZoW0vbH8Ntq+A3avAivfdbvig/HwonUGsPoHtHY19oAGlBTnmlfjRjF/s1kqh2Z3o6QPo6VaMVDNGoh4juR891Txgi5btKcUKTOxJpGz/GNDO7u+OOhM6Oxr87Gz0k0i5F3OapqgsTTJ9bILivGPf+2Aph4fb1vBi4A0szabAyeXW6OeYak0Y9LX3hutOxVsYUEHhqbmf6FhDf5sqyTn8lSm8g4aik3zWcj0HtIkZi4noqbkX6Q9aJX/Ty5mkOvias/Xw4VMnfi/MSFemHf/1QpO/nb+WbeTDwjpU18TIIctkdrSA6Z15lHgWUmznDdgqe/DjhyeYjdsRWpN7OZDcy5bI34ikW+lIt+Ac0RJoaB4KPeUUessp8JRT1jme8ncrMVImpifK9Xn/ixLPHjryK1iz6Kv8avtEVm70MKXC5n9emTzu93eilFLsDe/lg6Z1xGq3cu72NHN2OkzbD0avj249J4fQwgsIXnABoYUL8VZVyf3AYlgcT24giZM46ymlSO/dS2x9DfH164mv/4Dkjp19EyXAN2Uywa5EKTR/PkZBQWYCziQrBftWw/bXSNT8EX+s77xTaV8psfy5xPJnE8+fTSJ3OqrrPqTY2rXuTgd3HnlUJuftHdrrdydOx+IkMZINGIk6zPhuzPgujFRjv92U5sUKTMAKTMIOTDprWqUsG/a3etnd5KfxkAe6WoX8XoeJoxNMGZMg5B/82+ePnDr+Pf1napXbBej81DT+R+enyVND+wJhOBOnYaUUY9jM+fyRIO4E1XuYQw1Xu13zTlHykikRTB7QZ5PWDL5qb2UaHT3bJHE6Ma3eCO+OqmVD4U7aPek+20xHY1TaR57lIeAYmI6OpTsk8wOEVYIOFSPKwEmNVw90JUoVFHoryDVL0I9o6TSjHkrfrcAb9YJusbjgCWZ7X8XWTdZN/X/44ofXklYe/t9PxxldePovBy+vvJwXd77Is9ue5VBLHeftVszfrTN/t4kvkuj7XsrKCF1wAcGFbiLlKRs5E0mLM5skTscgiZNwkkkSmzYRX7+e2Afria9fj33oUL/9vOPHE1ywgOCCjxH62McwRw08y3rWCzfCjhVuy9LONyEV6dmkNINY/myixZcQKbmYZGjKUVuSTlviNADN7sToSqLM+C6M+G50J9ZvP9tTihWc1NUyNQnbN2ZEd7nqZjvQdMjDnhYf+w/4sJ3DP6OywhRTKhKMKUkd9f6l3uqcVh633uRNZwsAISfAf49dzQWp84+ra95ITJyK1V7O5c+U4MYepZAarqFJm3p4pxGeOL2sjeNNvYJKFeUOZ1Ofn6gkTidnlHcHW0NhNoc62BIKs9ffSVof2iVYkRZijFaIg0O+FkQvXEDIKBhSC4ye0hn1/mgCLe4gDJVF6/mk+UO8eoI95liWdv49auJE/vslqZN6fyfihqk3AGA7Nq/Xvc7jGx5ny6EtaEoxtcngMx2TmbvPhI+2olJ94/OOH09g3jyC8+YSmDsX7wQZoVacGEmcjkESp7OLsm2SO3eS2LSZxKZNJDZsILF5c99JZwHN48F/7rkE5swmOHcugdmzMYuLj3LULOfY7r1K219zS9NHfbeHRsHkT7DPnke0aBGOZ2gDMWQycepHOeipZsz4TszYTsz4zoFbpXQflt/t2mcFJ2H7x6PMkfG5kUxrNBz0uuWQp2dkPIAcv834siQTRyfIDQ7euqSUYotq4L+sd1jlbEUBOhpXG3O4tPUK8ofYytTbSEqcStQeprGKcmoBsPBQy2K2cgmOdsQ9GCM4cWrHyw/080hrBl+xtzKjV2sTSOJ00sfw9v3sc1Ac9CRp8SaJGhZxw8LSFKajo1eNIU/zk6cFKNZyCGpuy/1KaxsAB4rmHd+LK8jfVkjBlmI0NLyBGJfm/oRJ+moAXrIv4NCl1xEcU3LS7/N4dCdOPWEqxerG1Tyx8QnWNB4eDOjysov5slpI+eYWOlevJrFpk3tzZi9GUZGbRM1x/4f7z5mB7h+5A7SI00cSp2OQxCl7OakUqV27SGzd6iZKGzeS2LoVFY/329coLiY4dw6B2XMIzJ2Df+bMs3uI8M6DsPN1qP2zW8fbem3UYMxcmHIFTPkElM8BXWfT3+qP6yXOqMRpAIdbpXZ2ld1oTqLffo6Zj+0bh+0fi9U1ip/jLQMts5M72g4cDJu0tHtoPOSltcNE9Wov8HsdxpcmGV+WpDjXGtItZgdUmDftLfzRrmGXaulZv1ifyt+bf8ckvYwdDSc2P9OZnjhpymIMm5nM6p4WJoXGbuaxmUtJHO1CegQnTr/UJvOhXkyVCnObs6Vf+6EkTid5DG//z76jSc+fPuD6E06cuvgPBKj4qBwn7H5eVZRs4TLt38gzWkljsnfKRWw750piodPzxeGRiVNvGw5s4MmNT/J63es9Q6DPLZ3LLbNuYVHe+SRrPiS27gNiH6wj8dGGfi1SGAa+KVPwz5pJYNa5+GfNwj91CtrZ/L9eDEgSp2OQxGnkU0phNTaSqK0lua2W5LZtJLfXkty9B6z+/9j1YBDfOTMIzJyJf+ZMAuefj6ey8uxu0reS7uh3O9+AXW+4Q4b3HlDBnw+TLoOpn3TrnP7dFE8mcVLKvQjtHsRhyD+K4knH3Dy54hTe4Kwc9GRDr0RqF3qqZcCBJ5TmwfaV43jLsL1lOJ5Rbu0tRRk5JzYQxiDiKY22iElrh4eWDg+tYRPH6fs6BSGLiuIUY0pSFOdZ6IOEkVIWm1U9Nc5eVts72KwO/4y9mHxcP4cvmAuZqB8eXj+rEielKKCRSj6kkhr8dAJgY7CHudRyIZ3aIBeUIzRxqiWP5cYMNKW4x9lIBf27skridJLHOAMSJ4DqMUV0vh0kvt4PaKA7lPpXcU3OE/j1KI5mUDdhATumXkpb8YQTfp2hOFbi1G1Xxy5+vunnvLTzJdKO21tkcsFkvjTjSyypWkLQE8RJpUhs3ER8/QfE1q4jvmEDdmtrv2NpHg++qVN7in+aW5slp7elTZxZJHE6BkmcRg4nHie1Zw+p3btJ7trt1rt3kdqzFxXr/08dQM/Lwzd1Sk+S5J850+33bGS2NSDjlIKWLW6StPMN2Ps2pI84h2Xnui1KU66AsfPB6DviXDplEw+niEfSxKMpdqxrIZ2wSKcc7LSDlbaxLYWdtrHS7jrbclAOOI5CWTaK7jE3jryCdye+1VBoGmgodM1xCw5G97IvgKGDYShMXfXUpuGWieUpvKaD11QMy2jwTgIjWY+R2IeZ2I+R3I+R2N81ee9RnqIHcLylOJ6SrnmnClBmgbtsFuB4CkE/evJh2RCJG4RjBh2dJociJm0Rg3iq/++03+MwqiBNWWGaMcWpow7yEFFxGlQ7jaqdRtXGPnWIWqeRXaoFi77PmamN5RPGLD5hzCJXC/Q71ohPnJRDEfupYCsVbCGPw4lPnFx2U80u5h+9helIIzBximDy/+vnEta8LHKa+IwauAX4bE6cToXzfEP/3RjOxOljVe6cUukmg+jKEOl6t7uphc2Y0DtcGfw5OYY76fHB4onsnrSY/ZXVpL2nfqLaoSRO3VpiLTy95Wl+u+23RNNRAHI8OVwz6RpumHoDUwqn9OyrlMJqbia+YQOJjW43/fimTTgdHQMe2ygqcpOpKVPwVk3AN2EC3qoqzLKys29qkbOQJE7HIInTmUM5DtaBVtL1+0nv20dqX1e9362tlpajP9k08VVV4Zs2Dd+0qfinTsU3bZr7IXc2tyR1SyegsebwnEr71kDnEf+0Q6Uw6eOoqo+TGH0h0XQB0bYE0bZkV0n01LFIGis5sibB9GhpvEYKr57GZ6Tw6Sm8RrqrTvWq04cf6+mjNw4drZugctDTBzCSDeipFoxUC3qq2a2ttoGf0/1UBWkVIOYUE3FGE3FGE7ZLCdslbrFKiNsF9E80ARSGtw3DfwBCDahQPWnfIdK6QwqHpOaQ0hyiOYVEiNOh4kSI065idB5llC6AIkLM1sczV69ikTGFkrqPjrovwI7w+KNvPEYLYaYSJ11ZFFJPCXsoYS/F1OHlcJdMG5NGplHH+TQyDXW8XTBHWOJkofGkPo1aLZ9SFecuZyM+Bk64JXE6OWda4gTuZ1Bqp4fIO0GcVvfLMoVidMEO5uq/Y7znAwzNwtZNmipm0TBmNg1jziflPzUjkB5P4tQtkorwXO1z/Kb2N+yLHJ58fk7pHK6ZdA0fH/dxSgL9W5CUUqT37SOxdavbW6XWLam6un6j6HbT/H6848fjrarCO348nrFj8I4Zg2fMGMzy8rO7i38WGVGJ0yOPPMKDDz5IY2MjM2fO5KGHHuKiiy466v4rV65k6dKlbNq0iYqKCv7pn/6JW2+9dcivJ4nT6eEkk1jNzVjNzaSbW7rqJqye5WasAwcG7FrXm5Gfj3fiRLwTq/BVVbnLE6rwjhsrE+N1S8WgZTM0fghNG9zBHJo2gJ1CKUiqEFG7hCgVRPPnEw3NIqqPIxr3u4lRexI7PbTJDw1TJ5DrIZDrxU47ePwGHp+B4dExPbpbm25teHQMU0fXNTRdI7Fxg9ua1L6nq3XJpdB6uu7R1RFOKQ0HHVvpOF3FVkZX7S5bysB2DCxlYjnuY6V00upkfi9UT6Ll1VN49BSGbqNrFnpuMbrhoOsKzbDRdAcLmzQ2FjaWckhjdT12SDsKywLbsnFsRSqVBseDprzodgDTysW0cjCGEG/C6KQ90EJ7oJnW0P6uUo9lnPgoWEXKS4UKUkEOFeQyWRvFVG005Xox6D53GHnNA3Xv9nvuus7DXfjaY+cc/UUG6OJ52iiHIB3k0dKrHCCfJgz6fu6k8dHEVBqYTiPT3GHFT9QISpxsNH6pT2ajVoRH2dzpbKKc/veEdpPE6eT4PRuGvG/dvPJjbj9ViVM3pWDfei8H3goyzjr8ZYFhJhkf+oCp2irGej/Cp8dQaLQXjqV11FQOlE6hddQUkoGhDRJ0pBNJnLo5ymF142p+u+23vLHvDWzlfrmnoTGndA6Xj7+cyyovoyKn4tjHicVI7tzpJlI7dvb0dEnt33/saxRNwywtxTNmDJ6KCszSUsxRozBLR7n1qFGYo0oxck59S504tUZM4vTss89y44038sgjj7B48WIee+wxHn/8cTZv3kxlZWW//Xfv3s2sWbP46le/yj/8wz/w9ttvc9ttt/Ff//VfXH/99UN6TUmcjp+ybZxoFDscxm5rw25rwzrUdni57RB2W7v7+NAhtz5Kc3g/uo6nvBzPuHF4x43FM7arHjcOz9ixmIWFw/vmRgrHhkgTtO2G1u1wcAeqdSeJlnpiBzvotAvc5MguIep01aqMiF2C5QwtkQjkeckp8JFT6COnyO8uF/nIKfATKvASyPXi8Rk9LXqncnCIgexOHiJhpEnqFgkj7RY93bOcNNIk9TSW5mBrDrbeVaPQHC+648OnAhi2H9PyYzh+PFYA0/bjtYJ4rABeO4DXCuKzQnicE+tydiqk9SSd3naivnai3jaivjYivjbCvgN0+ptRRhQf4FUKn3LwddVepXqKr88yPcu5jkN+VymwbfIdh9GWTXCIH/2WMrHxdNUmlvJgY2IrDxa9t3kOr1MmFh5sXxEWXndbV3EwUOg46Kiu0nvZLRpdqXPXVqvXYxuDNF4SeIjjIYGHBH468RMmSAcBwviJoB+l5SRBiFbG08oEWhlPB6OPv2XpaEZI4nQIL7/WJ7NHy8VQDv/DqWU6x/7clsTp5JzJiVO3ml0Gf3rdz/kpk1m2jr/XaJxoDkW+/VRomyj1bKfUs4NCsx5dc4jkltFWWEk4v4KOgjGE88cQzRnFYH2mTyZx6q0l1sKLO1/k9b2vs/Hgxj7bxuaMZW7ZXGaXzmbOqDlMLJjYb76rgah0mnR9Pcndu0nt2Uuqbi/p+nrS9Q2k6+tRif6DBw1EDwYPJ1KlpRjFxRj5+W4pKMAoyO/zWM/Nle6Bp9mISZwWLFjA3LlzefTRR3vWzZgxg+uuu45ly5b12//ee+/lxRdfZMuWLT3rbr31Vj788EPefbf/t6IDyebESdk2KpHASSZR8ThOMokTj6O660QCJ5HoW8cTblIUjeBEooeXo504kQh2NHrU+4kGo/n9mGWleErLMMvK3OWy0ZhlZXjKSt11JSVnb8uRY0O8HdXZih05SKrtEKlwB6lIhFSkk1Q4TDLcSSxqEY9rxO08Yk4+8V5FMbSLPX/I4yZBhX43MSp0l3OLfIQK3CTJ8BzfB/WxEidb2cSdGAkVd2snTtu2GmJaglhnHXEjTUxPEdNTxPUUMaPXctfjpH56L9J0x8BnBfFboT616XjcYnsxHS+m48HjuMuG0jHQ0TUdEx0dDQMDAw1dV+iG2/Kka4pkqgNd604EbDQthaGlMTULE/A4BqbS3dox8CgDQ+nHmBtJYZDGo6UxSWFqKTykMHsepzGwMH1eDNKYpDFI9Vl2697L3XV2XCA7GEQoIcwowpQSppQORhOleFgG7ADO6MRJAc0EWKONYrVWSloz8CmbLznb+w09PhBJnE7OSEicAN6vNXjuHS+OrTHZ0LgoR6MkbKLa+/+/MfUEBXoD+UYT+WYTeUYTeUYLQb0NrxnDyfWQyCkgFixyS6iIpD+PpDeHlC+HJTO/CL78QROs49EYbeT1utf5S91f+KD5g54R+brleHKoyq9iQt4EJuRPYELeBMbmjqUkUEKRvwhTN49y5MOUUtiHDnUlUvWkGxqxDhzAamlx665l50SunzQNIy8PvSAfI5SDHgqhB4NufWTpWR9E8/rQfV40v7/vss+H7vWi+Xxo5uDv7Ww0IhKnVCpFMBjkt7/9LZ/+9Kd71t91113U1NSwcuXKfs+5+OKLmTNnDj/+8Y971j3//PN89rOfJRaL4RnCBfiZlDh1rl5D+I9/RFlWV0m78wulrcPr0umebaR7P3YLafc53WU4aX4/RlEhZkEhRlERRmEhRmEBZmEhRmHfx+aoUej5+SPyfqODDVFa6yI4jvvhqByF2vc+KpXEcRyU7aBUV+04KEfh2G6tHAfHUdiWhmWDbeEOmGCDbWtYtoZt61iOQdrxkXICpFQQhxNPHn0BnVBhgKS/EyPX6SoKI89Bz7HRcx0wHfe9oHCUg6P6Pu69HtwuELaySdtpUk6KlN1Vei0fPBDGUmmSKknciRF34iScGHEVJ61O3USKHtvA73jw227x9Vr2OiamchMOw9HdREbp7uNey7rS0ZWGjubWXY+17sdo/fYpCGzv2teds0gvmujWaMc10Wt721h3IVMX1CfSXU45hxOsWLNba2lMLIzuhKy7Jo2hWe7+XbWhda03tV7JmZvQaThdrUfOEcsD/ytSaDgYXUXHwcDGQxp/VwmQwk+KIHHyiJPfVeeRIOfUtSQN1RmSOG2mgEOaj05Monjo0LzUE6RDO9yyWqXCfN7ZRfEx7nnrTRKnkzNSEieAPS06v1nl5UDYTWg0FFU5MNnUKE3p5MUMAhED3R78s9CvhfHrEUwtgUdL4NGSXXUCU0/i0ZJut25DI+BLMWv0BvCEwBsCbxA8QdBNMLxgeLqWPaB73Lp7WTfdCcs1racOOyk+ijezvrOemlg9G+KNxJ2jXytpaBT4CigOFJPnzSPgCRA0gwTMQJ/iM3yYuukWzcTQDUzd5Kqqq/Aah+97cjo7exKpdFdSZbe1Y3e0Y7d3uHVHB3Z7O057x4klWsfDNA8nUT4fms+LZphuQmUaaKYHzTDcAbU85sDbTAPMI7bpBhi621Km6aBrh5ePsl4z3Dr3yk/iKS0dPPZhdDy5QcZSz9bWVmzbpqysrM/6srIympqaBnxOU1PTgPtblkVrayvl5f0/aJLJJMnk4X8KHV1dyMLh8Mm+hZN2aOMGDjzzzLAcW/P50Pw+dJ//8DcOvWu/H93nQwv4MUIh9FAOWk4II6fr242cnL7LodCQ5j6wu0oSIBIZlvc23DatruO9l3cfsdYAgsP0iqmuovAaabymjelx8Pl1vH6TQH6AQEEu/qJ8gnk+/Dle9z6jHC/+HA+G6f5ju+w3l9FpdUIUt/Sfz/W0M/Hg1/34tQC+pEZQ+QgkHQKOh4DjJeh48Tsego6XgO3ts/5QIo7X9mCQmS4LulKAwgG3w1fixC4aY4mue0aSp3Co9ONhHv2elcEZkPABJ9iN8bjmgukeWdFNj7qTpIEHxhiqU5fAD1mmfs5H+KNeRKN25L0VNqaKMokwFzgtTCaMBgMMPD6wuCROJ8U5xgX7kRKxY//uJn0n/ncdiw7+Ey8NwteucLvurdthsu+AwY4k7Oi1j+aBQkPjq4tSGDEDu0N3S1THiemohHvfahwDKBhSbHlGM5WJX57I2zqq87rKzUAa2Gua1HlM6jwe6jxe6sbPpyHaQHuqHVvZtMZbaW3vP5T5UFT/t2ryvEdceBcVQVER2rRpeOCYX5OqVMq9LaKjAzscxonF3NLZ2bfuKXF3XTyOSqVQqSQqmUQlU6hUCieZhN5fqtu2+xl1Bl2fVU6sIpDhiYq7c4KhtCVlvM3uyBYJpdQxWykG2n+g9d2WLVvGv/zLv/RbP27cuOMNVQghhBjxdgN/yXQQ4iT9PNMBAFAHfP0np/aY/3BqDzcEe07ZkcZ9Ta4tj9sxBoQ73SKRCPn5xx7oJGOJU0lJCYZh9Gtdamlp6deq1G306NED7m+aJsXFA3+z+c1vfpOlS5f2PHYch0OHDlFcXDwiu5ENRTgcZty4cezbty/j3RGzlZzj00PO8/CTczz85ByfHnKeh5+c4+En53j4HXmOlVJEIhEqKo49AiNkMHHyer3MmzePFStW9LnHacWKFVx77bUDPmfhwoW89NJLfda99tprVFdXH/X+Jp/Ph8/Xt5tJQUHByQU/QuTl5ckf3TCTc3x6yHkefnKOh5+c49NDzvPwk3M8/OQcD7/e53iwlqZuGR3vcOnSpTz++OM8+eSTbNmyhXvuuYe6urqeeZm++c1vctNNN/Xsf+utt7J3716WLl3Kli1bePLJJ3niiSf4xje+kam3IIQQQgghhDgLZPQep8997nMcPHiQ733vezQ2NjJr1ixeeeUVxo93Z6JvbGykru7w7PJVVVW88sor3HPPPfz0pz+loqKCf//3fx/yHE5CCCGEEEIIcSIyPjjEbbfdxm233Tbgtv/8z//st+6SSy7hgw8+GOaoRjafz8d3vvOdfl0Uxakj5/j0kPM8/OQcDz85x6eHnOfhJ+d4+Mk5Hn4nc44zOgGuEEIIIYQQQowEGb3HSQghhBBCCCFGAkmchBBCCCGEEGIQkjgJIYQQQgghxCAkcRJCCCGEEEKIQUjilIUeeeQRqqqq8Pv9zJs3j7/97W+ZDimrrFq1imuuuYaKigo0TeOFF17IdEhZZdmyZcyfP5/c3FxKS0u57rrr2LZtW6bDyjqPPvoo5513Xs8EgAsXLuRPf/pTpsPKasuWLUPTNO6+++5Mh5I1vvvd76JpWp8yevToTIeVderr6/nSl75EcXExwWCQ2bNns27dukyHlVUmTJjQ73dZ0zRuv/32TIeWNSzL4p//+Z+pqqoiEAgwceJEvve97+E4zpCPIYlTlnn22We5++67+fa3v8369eu56KKLWLJkSZ/5sMTJ6ezs5Pzzz+fhhx/OdChZaeXKldx+++2sXr2aFStWYFkWV1xxBZ2dnZkOLauMHTuWf/3Xf2Xt2rWsXbuWSy+9lGuvvZZNmzZlOrSs9P7777N8+XLOO++8TIeSdWbOnEljY2NP2bBhQ6ZDyiptbW0sXrwYj8fDn/70JzZv3syPfvQjCgoKMh1aVnn//ff7/B6vWLECgBtuuCHDkWWPH/zgB/zHf/wHDz/8MFu2bOGHP/whDz74ID/5yU+GfAwZjjzLLFiwgLlz5/Loo4/2rJsxYwbXXXcdy5Yty2Bk2UnTNJ5//nmuu+66TIeStQ4cOEBpaSkrV67k4osvznQ4Wa2oqIgHH3yQr3zlK5kOJatEo1Hmzp3LI488wv3338/s2bN56KGHMh1WVvjud7/LCy+8QE1NTaZDyVr33Xcfb7/9tvReOc3uvvtuXn75ZbZv346maZkOJyt86lOfoqysjCeeeKJn3fXXX08wGOSXv/zlkI4hLU5ZJJVKsW7dOq644oo+66+44greeeedDEUlxMnp6OgA3It6MTxs2+aZZ56hs7OThQsXZjqcrHP77bdz9dVXc/nll2c6lKy0fft2KioqqKqq4vOf/zy7du3KdEhZ5cUXX6S6upobbriB0tJS5syZw89+9rNMh5XVUqkUTz/9NLfccoskTafQhRdeyOuvv05tbS0AH374IW+99RZXXXXVkI9hDldw4vRrbW3Ftm3Kysr6rC8rK6OpqSlDUQlx4pRSLF26lAsvvJBZs2ZlOpyss2HDBhYuXEgikSAnJ4fnn3+ec845J9NhZZVnnnmGdevWsXbt2kyHkpUWLFjAL37xC6ZOnUpzczP3338/ixYtYtOmTRQXF2c6vKywa9cuHn30UZYuXcq3vvUt3nvvPe688058Ph833XRTpsPLSi+88ALt7e18+ctfznQoWeXee++lo6OD6dOnYxgGtm3z/e9/ny984QtDPoYkTlnoyG8nlFLyjYUYkb7+9a/z0Ucf8dZbb2U6lKw0bdo0ampqaG9v57nnnuPmm29m5cqVkjydIvv27eOuu+7itddew+/3ZzqcrLRkyZKe5XPPPZeFCxcyadIkfv7zn7N06dIMRpY9HMehurqaBx54AIA5c+awadMmHn30UUmchskTTzzBkiVLqKioyHQoWeXZZ5/l6aef5te//jUzZ86kpqaGu+++m4qKCm6++eYhHUMSpyxSUlKCYRj9WpdaWlr6tUIJcaa74447ePHFF1m1ahVjx47NdDhZyev1MnnyZACqq6t5//33+fGPf8xjjz2W4ciyw7p162hpaWHevHk962zbZtWqVTz88MMkk0kMw8hghNknFApx7rnnsn379kyHkjXKy8v7fZkyY8YMnnvuuQxFlN327t3LX/7yF37/+99nOpSs84//+I/cd999fP7znwfcL1v27t3LsmXLhpw4yT1OWcTr9TJv3ryekVi6rVixgkWLFmUoKiGOj1KKr3/96/z+97/nr3/9K1VVVZkO6ayhlCKZTGY6jKxx2WWXsWHDBmpqanpKdXU1X/ziF6mpqZGkaRgkk0m2bNlCeXl5pkPJGosXL+43JURtbS3jx4/PUETZ7amnnqK0tJSrr74606FknVgshq73TX0Mwziu4cilxSnLLF26lBtvvJHq6moWLlzI8uXLqaur49Zbb810aFkjGo2yY8eOnse7d++mpqaGoqIiKisrMxhZdrj99tv59a9/zR/+8Adyc3N7WlDz8/MJBAIZji57fOtb32LJkiWMGzeOSCTCM888w5tvvsmrr76a6dCyRm5ubr9780KhEMXFxXLP3inyjW98g2uuuYbKykpaWlq4//77CYfDQ/72WAzunnvuYdGiRTzwwAN89rOf5b333mP58uUsX74806FlHcdxeOqpp7j55psxTblEP9WuueYavv/971NZWcnMmTNZv349//Zv/8Ytt9wy9IMokXV++tOfqvHjxyuv16vmzp2rVq5cmemQssobb7yhgH7l5ptvznRoWWGgcwuop556KtOhZZVbbrml53Ni1KhR6rLLLlOvvfZapsPKepdccom66667Mh1G1vjc5z6nysvLlcfjURUVFeozn/mM2rRpU6bDyjovvfSSmjVrlvL5fGr69Olq+fLlmQ4pK/35z39WgNq2bVumQ8lK4XBY3XXXXaqyslL5/X41ceJE9e1vf1slk8khH0PmcRJCCCGEEEKIQcg9TkIIIYQQQggxCEmchBBCCCGEEGIQkjgJIYQQQgghxCAkcRJCCCGEEEKIQUjiJIQQQgghhBCDkMRJCCGEEEIIIQYhiZMQQgghhBBCDEISJyGEEFnp7/7u77j77rsBmDBhAg899FBG4xFCCDGySeIkhBBCCCGEEIOQxEkIIYQQQgghBiGJkxBCiLNCLBbjlltuITc3l8rKSpYvX96z7Re/+AU5OTls3769Z90dd9zB1KlT6ezszES4QgghzjCSOAkhhDgr/OhHP6K6upr169dz22238bWvfY2tW7cCcNNNN3HVVVfxxS9+EcuyePXVV3nsscf41a9+RSgUynDkQgghzgSSOAkhhDgrXHXVVdx2221MnjyZe++9l5KSEt58882e7Y899hiNjY3ceeedfPnLX+Y73/kO8+fPz1zAQgghzihmpgMQQgghTofzzjuvZ1nTNEaPHk1LS0vPusLCQp544gk++clPsmjRIu67775MhCmEEOIMJS1OQgghzgoej6fPY03TcBynz7pVq1ZhGAYNDQ1yb5MQQog+JHESQgghgHfeeYcf/vCHvPTSS+Tl5XHHHXdkOiQhhBBnEOmqJ4QQ4qwXiUS48cYbueOOO1iyZAmVlZVUV1fzqU99ihtuuCHT4QkhhDgDSIuTEEKIs95dd91FKBTigQceAGDmzJn84Ac/4NZbb6W+vj7D0QkhhDgTaEoplekghBBCCCGEEOJMJi1OQgghhBBCCDEISZyEEEIIIYQQYhCSOAkhhBBCCCHEICRxEkIIIYQQQohBSOIkhBBCCCGEEIOQxEkIIYQQQgghBiGJkxBCCCGEEEIMQhInIYQQQgghhBiEJE5CCCGEEEIIMQhJnIQQQgghhBBiEJI4CSGEEEIIIcQgJHESQgghhBBCiEH8X8Dyavxef3EGAAAAAElFTkSuQmCC\n", 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_col(\"lhx\",data[files[0]])\n", + "plot_col(\"lhx\",data[files[2]])\n", + "plot_col(\"lhx\",data[files[5]])\n", + "plot_col(\"lhx\",data[files[11]])" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "fb291e0b", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[339 0 31 7 0]\n", + " [ 0 43 2 4 2]\n", + " [ 32 11 40 19 9]\n", + " [ 23 5 6 34 25]\n", + " [ 8 24 23 41 241]]\n", + "0.7192982456140351\n", + "[[354 0 15 8 0]\n", + " [ 0 21 6 18 6]\n", + " [ 35 2 39 22 13]\n", + " [ 25 3 6 35 24]\n", + " [ 10 16 33 44 234]]\n", + "0.7048503611971104\n", + "[[248 12 10 14 7]\n", + " [ 22 1 0 3 0]\n", + " [ 26 7 29 8 7]\n", + " [ 19 7 4 41 8]\n", + " [ 56 13 69 35 69]]\n", + "0.5426573426573427\n", + "[[216 49 6 12 8]\n", + " [ 18 5 0 3 0]\n", + " [ 22 14 20 7 14]\n", + " [ 12 17 1 39 10]\n", + " [ 47 26 33 25 111]]\n", + "0.5468531468531469\n" + ] + } + ], + "source": [ + "#raw file is affected by persons habits/enviormental factors most likely\n", + "file_raw=[files[0],files[2],files[3]]\n", + "file_va=[files[1],files[4]]\n", + "model=SVC(kernel='rbf',gamma='scale',class_weight='balanced')\n", + "modelfitter(model,data,\"onevsone\",'raw',None,file_raw)\n", + "modelfitter(model,data,\"onevsrest\",'raw',None,file_raw)\n", + "modelfitter(model,data,\"onevsone\",'va',drop_file,file_va)\n", + "modelfitter(model,data,\"onevsrest\",'va',drop_file,file_va)" + ] + }, + { + "cell_type": "markdown", + "id": "c0a9c824", + "metadata": {}, + "source": [ + "Since we want to generalize, i guess this is kinda irrelevant" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "id": "01d33ba9", + "metadata": {}, + "outputs": [], + "source": [ + "import csv\n", + "def test_model(model,drop_files=None):\n", + " df=pd.read_csv(\"test.csv\")\n", + " df.columns=[\"vlhx\",\"vlhy\",\"vlhz\",\"vrhx\",\"vrhy\",\"vrhz\",\"vlwx\",\"vlwy\",\"vlwz\",\"vrwx\",\"vrwy\",\"vrwz\",\"alhx\",\"alhy\",\"alhz\",\"arhx\",\"arhy\",\"arhz\",\"alwx\",\"alwy\",\"alwz\",\"arwx\",\"arwy\",\"arwz\",\"svlh\",\"svrh\",\"svlw\",\"svrw\",\"salh\",\"sarh\",\"salw\",\"sarw\"]\n", + " print(np.any(pd.isna(df)))\n", + " X=df\n", + " if drop_files is not None:\n", + " for column in drop_files:\n", + " X.drop([column],axis=1,inplace=True)\n", + " scaler=StandardScaler()\n", + " scaler.fit(X)\n", + " X=scaler.transform(X)\n", + " result=model.predict(X)\n", + " ans=[]\n", + " for i in range(len(result)):\n", + " ans.append([i+1,result[i]])\n", + " headers=[\"ID\",\"Phase\"]\n", + " with open(\"Prediction.csv\",'w', newline='') as f:\n", + " csvwriter = csv.writer(f)\n", + " csvwriter.writerow([f for f in headers])\n", + " csvwriter.writerows(ans)\n", + " return result" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "041d2153", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "model=SVC(kernel='rbf',gamma='scale',class_weight='balanced')\n", + "model=modelfitter(model,data,\"onevsrest\",'va',None,file_va,1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a371d370", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "result=test_model(model,drop_file)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0c52c360", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "from sklearn.ensemble import RandomForestClassifier\n", + "drop_file=[]\n", + "model=RandomForestClassifier(n_estimators=1000,max_depth=15,max_features='sqrt',random_state=42,class_weight='balanced')\n", + "model=modelfitter(model,data,\"multi\",'va',drop_file,file_va,1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "10d46548", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "result=test_model(model,None)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "14785113", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "from sklearn.ensemble import GradientBoostingClassifier\n", + "drop_file=[]\n", + "model=GradientBoostingClassifier(learning_rate=0.1,n_estimators=1000,max_depth=15,random_state=18,max_features=\"log2\",\n", + " validation_fraction=0.05,n_iter_no_change=25,tol=1e-3)\n", + "model=modelfitter(model,data,\"multi\",'va',drop_file,file_va,1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7aad43a8", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "result=test_model(model,None)" + ] + }, + { + "cell_type": "markdown", + "id": "3f7f18a8", + "metadata": {}, + "source": [ + "In this approach, i am modelling the process similar to a markov chain where i assume that the current state of the model only depends on the current conditions and the previous state. To achieve this i concatenate the prediction of the current state into the next row and then i ran i several models to test out the improvements. By far, KNN gave the best improvements over any other model i used before." + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "id": "2edba15c", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans\n", + "from sklearn.preprocessing import RobustScaler\n", + "n_clust=8\n", + "alpha=0.0001\n", + "def modelfitter_tsa(model,data,method,data_form,drop_file=None,csv_files=files,return_model=0,unsup=0):\n", + " dataset=pd.DataFrame()\n", + " for x in csv_files:\n", + " if data_form in x:\n", + " dataset=pd.concat([dataset,data[x]],axis=0)\n", + " dataset.reset_index(inplace = True)\n", + " dataset.drop(['index'],axis=1,inplace=True)\n", + " X=dataset\n", + " y=dataset[\"phase\"]\n", + " \n", + " z=pd.DataFrame()\n", + " z=pd.concat([pd.DataFrame(X['phase'].shift(1)),z],axis=0)\n", + " z = pd.get_dummies(pd.DataFrame(z), columns = ['phase'])\n", + " z=z.replace([1,0],[alpha,-alpha])\n", + " X.drop(['phase'],axis=1,inplace=True)\n", + " \n", + " if data_form=='raw':\n", + " X.drop(['timestamp'],axis=1,inplace=True)\n", + " if data_form=='va' and drop_file is not None:\n", + " for column in drop_file:\n", + " X.drop([column],axis=1,inplace=True)\n", + " \n", + " X=pd.concat([pd.DataFrame(X),z],axis=1)\n", + " \n", + " if method=='onevsone':\n", + " model=OneVsOneClassifier(model)\n", + " elif method=='onevsrest':\n", + " model=OneVsRestClassifier(model)\n", + " \n", + " if unsup==0:\n", + " scaler=StandardScaler()\n", + " scaler.fit(X)\n", + " X=scaler.transform(X)\n", + " \n", + " model.fit(X,y)\n", + " print(model.score(X, y))\n", + " if return_model:\n", + " return model\n", + " \n", + " else:\n", + " kmeans = KMeans(n_clusters=n_clust).fit(X)\n", + " result=kmeans.predict(X)\n", + " z=pd.DataFrame()\n", + " z=pd.concat([pd.DataFrame(result,columns=['kmeans']),z],axis=0)\n", + " z = pd.get_dummies(pd.DataFrame(z), columns = ['kmeans'])\n", + " z=z.replace([1,0],[alpha,-alpha])\n", + " X=pd.concat([X,z],axis=1)\n", + " \n", + " scaler=StandardScaler()\n", + " scaler.fit(X)\n", + " X=scaler.transform(X)\n", + " \n", + " model.fit(X,y)\n", + " print(model.score(X, y))\n", + " if return_model:\n", + " return model,kmeans\n", + " \n", + "def test_model_tsa(model,drop_files=None,kmeans=None):\n", + " df=pd.read_csv(\"test.csv\")\n", + " df.columns=[\"vlhx\",\"vlhy\",\"vlhz\",\"vrhx\",\"vrhy\",\"vrhz\",\"vlwx\",\"vlwy\",\"vlwz\",\"vrwx\",\"vrwy\",\"vrwz\",\"alhx\",\"alhy\",\"alhz\",\"arhx\",\"arhy\",\"arhz\",\"alwx\",\"alwy\",\"alwz\",\"arwx\",\"arwy\",\"arwz\",\"svlh\",\"svrh\",\"svlw\",\"svrw\",\"salh\",\"sarh\",\"salw\",\"sarw\"]\n", + " print(np.any(pd.isna(df)))\n", + " X=df\n", + " if drop_files is not None:\n", + " for column in drop_files:\n", + " X.drop([column],axis=1,inplace=True)\n", + " scaler=StandardScaler()\n", + " scaler.fit(X)\n", + " X=scaler.transform(X)\n", + " \n", + " y=['D','H','P','R','S']\n", + " clust=[]\n", + " for i in range(n_clust):\n", + " clust.append(i)\n", + " result='A'\n", + " predictions=[]\n", + " \n", + " for i in range(len(X)):\n", + " x=X[i]\n", + " for z in y:\n", + " if z!=result:\n", + " x=np.append(x,-alpha)\n", + " else:\n", + " x=np.append(x,alpha)\n", + " if kmeans is not None:\n", + " clust_result=int(kmeans.predict(x.reshape(1,-1)))\n", + " for z in clust:\n", + " if z!=clust_result:\n", + " x=np.append(x,-alpha)\n", + " else:\n", + " x=np.append(x,alpha)\n", + " \n", + " result=model.predict(x.reshape(1,-1))\n", + " predictions.append(result)\n", + " \n", + " ans=[]\n", + " for i in range(len(predictions)):\n", + " ans.append([i+1,predictions[i][0]])\n", + " headers=[\"ID\",\"Phase\"]\n", + " with open(\"Prediction.csv\",'w', newline='') as f:\n", + " csvwriter = csv.writer(f)\n", + " csvwriter.writerow([f for f in headers])\n", + " csvwriter.writerows(ans)\n", + " return predictions" + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "id": "a7b2c6bb", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 1.282035e-17\n", + "1 1.252977e-17\n", + "2 6.245587e-18\n", + "3 2.262472e-19\n", + "4 7.253504e-19\n", + "5 -2.066909e-17\n", + "6 7.764259e-18\n", + "7 1.071979e-17\n", + "8 -1.631310e-19\n", + "9 -3.426237e-18\n", + "10 5.515382e-19\n", + "11 -1.874065e-18\n", + "12 2.705256e-18\n", + "13 5.981470e-19\n", + "14 -1.563035e-18\n", + "15 1.708020e-18\n", + "16 -1.361367e-18\n", + "17 -2.737299e-18\n", + "18 1.360396e-18\n", + "19 1.386128e-17\n", + "20 1.087516e-17\n", + "21 -5.157197e-18\n", + "22 7.842669e-18\n", + "23 3.089051e-19\n", + "24 -2.246547e-17\n", + "25 -3.511201e-17\n", + "26 1.468801e-16\n", + "27 -1.261546e-16\n", + "28 -1.042796e-16\n", + "29 1.583148e-16\n", + "30 5.648994e-17\n", + "31 1.190080e-16\n", + "dtype: float64\n" + ] + }, + { + "ename": "KeyboardInterrupt", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m~\\AppData\\Local\\Temp\\ipykernel_19512\\444106208.py\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[0;32m 11\u001b[0m \u001b[0mmodel\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mKNeighborsClassifier\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 12\u001b[0m \u001b[0mmodel\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mGridSearchCV\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mhyperparameters\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcv\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m10\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 13\u001b[1;33m \u001b[0mmodel\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mmodelfitter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mdata\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m\"multi\"\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'va'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mdrop_file\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mfile_va\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 14\u001b[0m \u001b[0mmodel_ensem\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\AppData\\Local\\Temp\\ipykernel_19512\\1809073871.py\u001b[0m in \u001b[0;36mmodelfitter\u001b[1;34m(model, data, method, data_form, drop_file, csv_files, return_model, resample)\u001b[0m\n\u001b[0;32m 72\u001b[0m \u001b[0mmodel\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mOneVsRestClassifier\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 73\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 74\u001b[1;33m \u001b[0mmodel\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mX_train\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0my_train\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 75\u001b[0m \u001b[0mresult\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mmodel\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpredict\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mX_test\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 76\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\sklearn\\model_selection\\_search.py\u001b[0m in \u001b[0;36mfit\u001b[1;34m(self, X, y, groups, **fit_params)\u001b[0m\n\u001b[0;32m 889\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mresults\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 890\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 891\u001b[1;33m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_run_search\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mevaluate_candidates\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 892\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 893\u001b[0m \u001b[1;31m# multimetric is determined here because in the case of a callable\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\sklearn\\model_selection\\_search.py\u001b[0m in \u001b[0;36m_run_search\u001b[1;34m(self, evaluate_candidates)\u001b[0m\n\u001b[0;32m 1390\u001b[0m \u001b[1;32mdef\u001b[0m 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more_results)\u001b[0m\n\u001b[0;32m 836\u001b[0m )\n\u001b[0;32m 837\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 838\u001b[1;33m out = parallel(\n\u001b[0m\u001b[0;32m 839\u001b[0m delayed(_fit_and_score)(\n\u001b[0;32m 840\u001b[0m \u001b[0mclone\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mbase_estimator\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\joblib\\parallel.py\u001b[0m in \u001b[0;36m__call__\u001b[1;34m(self, iterable)\u001b[0m\n\u001b[0;32m 1044\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_iterating\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_original_iterator\u001b[0m \u001b[1;32mis\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 1045\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 1046\u001b[1;33m 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779\u001b[1;33m \u001b[0mjob\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_backend\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mapply_async\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mbatch\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcallback\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mcb\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 780\u001b[0m \u001b[1;31m# A job can complete so quickly than its callback is\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 781\u001b[0m \u001b[1;31m# called before we get here, causing self._jobs to\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\joblib\\_parallel_backends.py\u001b[0m in \u001b[0;36mapply_async\u001b[1;34m(self, func, callback)\u001b[0m\n\u001b[0;32m 206\u001b[0m \u001b[1;32mdef\u001b[0m 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self.items]\n\u001b[0;32m 264\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\joblib\\parallel.py\u001b[0m in \u001b[0;36m\u001b[1;34m(.0)\u001b[0m\n\u001b[0;32m 260\u001b[0m \u001b[1;31m# change the default number of processes to -1\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 261\u001b[0m \u001b[1;32mwith\u001b[0m \u001b[0mparallel_backend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_backend\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mn_jobs\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_n_jobs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 262\u001b[1;33m return [func(*args, **kwargs)\n\u001b[0m\u001b[0;32m 263\u001b[0m for func, args, kwargs in self.items]\n\u001b[0;32m 264\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", + 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} + ], + "source": [ + "from sklearn.neighbors import KNeighborsClassifier\n", + "from sklearn.model_selection import GridSearchCV\n", + "model_ensem=[]\n", + "no_of_models=1\n", + "drop_file=[]\n", + "for i in range(1,no_of_models+1):\n", + " model=KNeighborsClassifier()\n", + " model=modelfitter(model,data,\"multi\",'va',drop_file,file_va,1)\n", + " model_ensem.append(model)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "840d4f1e", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "result_ensem=pd.DataFrame()\n", + "for model in model_ensem:\n", + " result=test_model(model,drop_file)\n", + " result_ensem=pd.concat([result_ensem,pd.DataFrame(result)],axis=1)\n", + "result=result_ensem.mode(axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 146, + "id": "6c376bc3", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 1.282035e-17\n", + "1 1.252977e-17\n", + "2 6.245587e-18\n", + "3 2.262472e-19\n", + "4 7.253504e-19\n", + "5 -2.066909e-17\n", + "6 7.764259e-18\n", + "7 1.071979e-17\n", + "8 -1.631310e-19\n", + "9 -3.426237e-18\n", + "10 5.515382e-19\n", + "11 -1.874065e-18\n", + "12 2.705256e-18\n", + "13 5.981470e-19\n", + "14 -1.563035e-18\n", + "15 1.708020e-18\n", + "16 -1.361367e-18\n", + "17 -2.737299e-18\n", + "18 1.360396e-18\n", + "19 1.386128e-17\n", + "20 1.087516e-17\n", + "21 -5.157197e-18\n", + "22 7.842669e-18\n", + "23 3.089051e-19\n", + "24 -2.246547e-17\n", + "25 -3.511201e-17\n", + "26 1.468801e-16\n", + "27 -1.261546e-16\n", + "28 -1.042796e-16\n", + "29 1.583148e-16\n", + "30 5.648994e-17\n", + "31 1.190080e-16\n", + "dtype: float64\n", + "[[266 0 4 8 13]\n", + " [ 5 16 2 0 3]\n", + " [ 9 1 47 0 22]\n", + " [ 14 0 4 31 28]\n", + " [ 8 0 7 11 216]]\n", + "0.8055944055944056\n" + ] + } + ], + "source": [ + "import xgboost as xgb\n", + "xmodel_ensem=[]\n", + "no_of_models=1\n", + "drop_file=[]\n", + "for i in range(1,no_of_models+1):\n", + " model=xgb.XGBClassifier()\n", + " model=modelfitter(model,data,\"multi\",'va',drop_file,file_va,1)\n", + " model_ensem.append(model)" + ] + }, + { + "cell_type": "code", + "execution_count": 147, + "id": "519acdb4", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "False\n" + ] + } + ], + "source": [ + "result_ensem=pd.DataFrame()\n", + "for model in model_ensem:\n", + " result=test_model(model,drop_file)\n", + " result_ensem=pd.concat([result_ensem,pd.DataFrame(result)],axis=1)\n", + "result=result_ensem.mode(axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "61abce54", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/shorya/kaggle_challenge/supervised_learning.ipynb b/shorya/kaggle_challenge/supervised_learning.ipynb new file mode 100644 index 0000000..13e8695 --- /dev/null +++ b/shorya/kaggle_challenge/supervised_learning.ipynb @@ -0,0 +1,1383 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "id": "6ccadc80", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "6053a804", + "metadata": {}, + "outputs": [], + "source": [ + "def dataset(filename):\n", + " df=pd.read_csv(filename)\n", + " if(\"raw\" in filename):\n", + " df[\"phase\"]=df[\"phase\"].replace([\"Rest\",\"Preparation\",\"Stroke\",\"Hold\",\"Retraction\",\"Preparação\"],['D','P','S','H','R','P'])\n", + " else:\n", + " df.columns=[\"vlhx\",\"vlhy\",\"vlhz\",\"vrhx\",\"vrhy\",\"vrhz\",\"vlwx\",\"vlwy\",\"vlwz\",\"vrwx\",\"vrwy\",\"vrwz\",\"alhx\",\"alhy\",\"alhz\",\"arhx\",\"arhy\",\"arhz\",\"alwx\",\"alwy\",\"alwz\",\"arwx\",\"arwy\",\"arwz\",\"svlh\",\"svrh\",\"svlw\",\"svrw\",\"salh\",\"sarh\",\"salw\",\"sarw\",\"phase\"]\n", + " data[filename]=df\n", + " print(np.any(pd.isna(df)))\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "bed19819", + "metadata": {}, + "outputs": [], + "source": [ + "files=[\"a1_raw.csv\",\"a1_va3.csv\",\"a2_raw.csv\",\"a3_raw.csv\",\"a3_va3.csv\",\"b1_raw.csv\",\"b1_va3.csv\",\"b3_raw.csv\",\"b3_va3.csv\",\"c1_raw.csv\",\"c1_va3.csv\",\"c3_raw.csv\",\"c3_va3.csv\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "793f806b", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n", + "False\n" + ] + } + ], + "source": [ + "data={}\n", + "for x in files:\n", + " dataset(x)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "9940dd51", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['D' 'P' 'S' 'H' 'R']\n", + "['D' 'P' 'S' 'H' 'R']\n", + "['D' 'P' 'S' 'R' 'H']\n", + "['D' 'P' 'S' 'R' 'H']\n", + "['D' 'P' 'S' 'R' 'H']\n", + "['D' 'P' 'H' 'S' 'R']\n", + "['D' 'P' 'H' 'S' 'R']\n", + "['D' 'P' 'H' 'S' 'R']\n", + "['D' 'P' 'H' 'S' 'R']\n", + "['D' 'P' 'S' 'H' 'R']\n", + "['D' 'P' 'S' 'H' 'R']\n", + "['D' 'P' 'S' 'H' 'R']\n", + "['D' 'P' 'S' 'H' 'R']\n" + ] + } + ], + "source": [ + "for x in data.keys():\n", + " print(data[x]['phase'].unique())" + ] 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" + ], + "text/plain": [ + " vlhx vlhy vlhz vrhx vrhy vrhz vlwx \\\n", + "0 -0.005009 -0.000964 0.000573 0.008623 0.005667 0.001302 -0.000631 \n", + "1 0.004905 0.001209 -0.000649 0.004737 0.003166 0.000819 -0.000572 \n", + "2 -0.002393 -0.000216 0.000136 0.003028 0.001212 0.000336 -0.000449 \n", + "3 -0.001394 -0.000242 0.000056 0.001182 0.000575 0.000225 -0.000479 \n", + "4 -0.000156 -0.000004 0.000023 0.001585 0.000630 0.000094 -0.000303 \n", + "\n", + " vlwy vlwz vrwx ... arwz svlh svrh \\\n", + "0 0.000130 -0.000048 0.007762 ... 1.880800e-04 0.005133 0.010400 \n", + "1 -0.000015 0.000023 0.002706 ... -7.500000e-07 0.005093 0.005756 \n", + "2 0.000017 0.000047 0.002868 ... -3.920000e-05 0.002406 0.003279 \n", + "3 -0.000050 0.000104 0.001171 ... -3.184000e-05 0.001416 0.001334 \n", + "4 0.000097 0.000065 0.001579 ... -2.015000e-05 0.000158 0.001709 \n", + "\n", + " svlw svrw salh sarh salw sarw phase \n", + "0 0.000646 0.007871 0.004631 0.000963 0.000092 0.000438 D \n", + "1 0.000573 0.003459 0.000730 0.000332 0.000012 0.000433 D \n", + "2 0.000452 0.003261 0.002412 0.000852 0.000042 0.000202 D \n", + "3 0.000493 0.001358 0.000313 0.000611 0.000029 0.000596 D \n", + "4 0.000325 0.001713 0.000203 0.000069 0.000038 0.000069 D \n", + "\n", + "[5 rows x 33 columns]" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[files[1]].head()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "cd7c1073", + "metadata": {}, + "outputs": [], + "source": [ + "from numpy import sqrt\n", + "def plot_col(target_column,data):\n", + " fig = plt.figure(figsize=(10,5))\n", + " sns.distplot(data.loc[data[\"phase\"] == 'D'][target_column], \n", + " kde_kws={\"label\": \"Rest\"});\n", + " sns.distplot(data.loc[data[\"phase\"] == 'P'][target_column], \n", + " kde_kws={\"label\": \"preparation\"});\n", + " sns.distplot(data.loc[data[\"phase\"] == 'S'][target_column], \n", + " kde_kws={\"label\": \"stroke\"});\n", + " sns.distplot(data.loc[data[\"phase\"] == 'H'][target_column], \n", + " kde_kws={\"label\": \"hold\"});\n", + " sns.distplot(data.loc[data[\"phase\"] == 'R'][target_column], \n", + " kde_kws={\"label\": \"retraction\"});\n", + " plt.legend()\n", + " plt.show()\n", + "def plot_col2(target_column1,target_column2,data):\n", + " fig = plt.figure(figsize=(10,5))\n", + " sns.distplot(sqrt(data.loc[data[\"phase\"] == 'D'][target_column1]**2+data.loc[data[\"phase\"] == 'D'][target_column1]**2), \n", + " kde_kws={\"label\": \"Rest\"});\n", + " sns.distplot(sqrt(data.loc[data[\"phase\"] == 'P'][target_column1]**2+data.loc[data[\"phase\"] == 'P'][target_column1]**2), \n", + " kde_kws={\"label\": \"preparation\"});\n", + " sns.distplot(sqrt(data.loc[data[\"phase\"] == 'S'][target_column1]**2+data.loc[data[\"phase\"] == 'S'][target_column1]**2), \n", + " kde_kws={\"label\": \"stroke\"});\n", + " sns.distplot(sqrt(data.loc[data[\"phase\"] == 'H'][target_column1]**2+data.loc[data[\"phase\"] == 'H'][target_column1]**2), \n", + " kde_kws={\"label\": \"hold\"});\n", + " sns.distplot(sqrt(data.loc[data[\"phase\"] == 'R'][target_column1]**2+data.loc[data[\"phase\"] == 'R'][target_column1]**2), \n", + " kde_kws={\"label\": \"retraction\"});\n", + " plt.legend()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "849760ac", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import warnings\n", + "warnings.filterwarnings('ignore')\n", + "plot_col(\"salh\",data[files[1]])\n", + "plot_col(\"sarh\",data[files[1]])\n", + "plot_col2(\"salh\",\"sarh\",data[files[1]])" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "edce9476", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1. 0.98158834]\n", + " [0.98158834 1. ]]\n", + "[[1. 0.97121475]\n", + " [0.97121475 1. ]]\n", + "[[1. 0.98460886]\n", + " [0.98460886 1. ]]\n", + "[[1. 0.98680447]\n", + " [0.98680447 1. ]]\n" + ] + } + ], + "source": [ + "from numpy import cbrt\n", + "print(np.corrcoef(cbrt(data[files[1]]['vlhz']**2+data[files[1]]['vlhy']**2+data[files[1]]['vlhx']**2),data[files[1]]['svlh']))\n", + "print(np.corrcoef(cbrt(data[files[4]]['vlhz']**2+data[files[4]]['vlhy']**2+data[files[4]]['vlhx']**2),data[files[4]]['svlh']))\n", + "print(np.corrcoef(cbrt(data[files[6]]['vlhz']**2+data[files[6]]['vlhy']**2+data[files[6]]['vlhx']**2),data[files[6]]['svlh']))\n", + "print(np.corrcoef(cbrt(data[files[8]]['vlhz']**2+data[files[8]]['vlhy']**2+data[files[8]]['vlhx']**2),data[files[8]]['svlh']))" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "id": "d01f0a52", + "metadata": {}, + "outputs": [], + "source": [ + "#running something quick and dirty\n", + "from sklearn.preprocessing import OneHotEncoder\n", + "from sklearn.multiclass import OneVsRestClassifier\n", + "from sklearn.multiclass import OneVsOneClassifier\n", + "from sklearn.metrics import confusion_matrix\n", + "from sklearn.model_selection import train_test_split\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.decomposition import PCA\n", + "from sklearn.preprocessing import MinMaxScaler\n", + "\n", + "def resampler(dataset):\n", + " max_count=dataset['phase'].value_counts().max()\n", + " min_count=dataset['phase'].value_counts().min()\n", + " df=[]\n", + " for x in dataset['phase'].unique():\n", + " df.append(dataset[dataset['phase']==x])\n", + " dataset = dataset.iloc[0:0]\n", + " for x in df:\n", + " x=x.sample(max_count,replace=True)\n", + " dataset= pd.concat([dataset,x],axis=0)\n", + " \n", + " return dataset\n", + " \n", + " \n", + "def modelfitter(model,data,method,data_form,drop_file=None,csv_files=files,return_model=0,resample=0):\n", + " dataset=pd.DataFrame()\n", + " for x in csv_files:\n", + " if data_form in x:\n", + " dataset=pd.concat([dataset,data[x]],axis=0)\n", + " dataset.reset_index(inplace = True)\n", + " dataset.drop(['index'],axis=1,inplace=True)\n", + " X=dataset\n", + " y=dataset[\"phase\"]\n", + " X.drop(['phase'],axis=1,inplace=True)\n", + " if data_form=='raw':\n", + " X.drop(['timestamp'],axis=1,inplace=True)\n", + " if data_form=='va' and drop_file is not None:\n", + " for column in drop_file:\n", + " X.drop([column],axis=1,inplace=True)\n", + " \n", + " scaler=StandardScaler()\n", + " scaler.fit(X)\n", + " X=scaler.transform(X)\n", + " print(pd.DataFrame(X).mean())\n", + " train_indices,test_indices = train_test_split(pd.DataFrame(X).index.sort_values(), test_size=0.2, random_state=42)\n", + " X_train=[]\n", + " X_test=[]\n", + " y_train=[]\n", + " y_test=[]\n", + " for x in pd.DataFrame(X).index.sort_values():\n", + " if x in train_indices:\n", + " X_train.append(X[x])\n", + " y_train.append(y[x])\n", + " else:\n", + " X_test.append(X[x])\n", + " y_test.append(y[x])\n", + " X_train=pd.DataFrame(X_train)\n", + " y_train=pd.DataFrame(y_train,columns=['phase'])\n", + " X_test=pd.DataFrame(X_test)\n", + " y_test=pd.DataFrame(y_test,columns=['phase'])\n", + " \n", + " if resample==1:\n", + " df=pd.merge(y_train,X_train, left_index=True, right_index=True)\n", + " df=resampler(df)\n", + " y_train=df[\"phase\"]\n", + " X_train=df\n", + " X_train.drop(['phase'],axis=1,inplace=True)\n", + " \n", + " if method=='onevsone':\n", + " model=OneVsOneClassifier(model)\n", + " elif method=='onevsrest':\n", + " model=OneVsRestClassifier(model)\n", + " \n", + " y_train=y_train.replace(['D','H','R','P','S'],[0,1,2,3,4])\n", + " model.fit(X_train,y_train)\n", + " result=model.predict(X_test)\n", + " \n", + " y_test=y_test.replace(['D','H','R','P','S'],[0,1,2,3,4])\n", + " score=confusion_matrix(y_test,result)\n", + " print(score)\n", + " print(np.trace(score)/np.sum(score))\n", + " \n", + " if return_model:\n", + " return model" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "3451ee4c", + "metadata": {}, + "outputs": [], + "source": [ + "drop_file=[]" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "e6423bdb", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "ename": "KeyboardInterrupt", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m~\\AppData\\Local\\Temp\\ipykernel_19512\\2599261481.py\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0msklearn\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msvm\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mSVC\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[0mmodel\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mSVC\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mkernel\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'rbf'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mgamma\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'scale'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mclass_weight\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'balanced'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[0mmodelfitter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mdata\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m\"onevsone\"\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'raw'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 4\u001b[0m \u001b[0mmodelfitter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mdata\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m\"onevsrest\"\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'raw'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 5\u001b[0m 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842\u001b[1;33m \u001b[0mY\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdecision_function\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mX\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 843\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mn_classes_\u001b[0m \u001b[1;33m==\u001b[0m \u001b[1;36m2\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 844\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mclasses_\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mY\u001b[0m \u001b[1;33m>\u001b[0m \u001b[1;36m0\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mastype\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mint\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\sklearn\\multiclass.py\u001b[0m in \u001b[0;36mdecision_function\u001b[1;34m(self, X)\u001b[0m\n\u001b[0;32m 882\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 883\u001b[0m predictions = np.vstack(\n\u001b[1;32m--> 884\u001b[1;33m \u001b[1;33m[\u001b[0m\u001b[0mest\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpredict\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mXi\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mest\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mXi\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mzip\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mestimators_\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mXs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 885\u001b[0m ).T\n\u001b[0;32m 886\u001b[0m confidences = np.vstack(\n", + "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\sklearn\\multiclass.py\u001b[0m in 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\u001b[0;36m_dense_predict\u001b[1;34m(self, X)\u001b[0m\n\u001b[0;32m 433\u001b[0m \u001b[0msvm_type\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mLIBSVM_IMPL\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mindex\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_impl\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 434\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 435\u001b[1;33m return libsvm.predict(\n\u001b[0m\u001b[0;32m 436\u001b[0m \u001b[0mX\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 437\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msupport_\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;31mKeyboardInterrupt\u001b[0m: " + ] + } + ], + "source": [ + "from sklearn.svm import SVC\n", + "model=SVC(kernel='rbf',gamma='scale',class_weight='balanced')\n", + "modelfitter(model,data,\"onevsone\",'raw')\n", + "modelfitter(model,data,\"onevsrest\",'raw')\n", + "modelfitter(model,data,\"onevsone\",'va',drop_file)\n", + "modelfitter(model,data,\"onevsrest\",'va',drop_file)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9e4dbad1", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.svm import SVC\n", + "model=SVC(kernel='poly',degree=2,gamma='scale',class_weight='balanced')\n", + "modelfitter(model,data,\"onevsone\",'raw')\n", + "modelfitter(model,data,\"onevsrest\",'raw')\n", + "modelfitter(model,data,\"onevsone\",'va',drop_file)\n", + "modelfitter(model,data,\"onevsrest\",'va',drop_file)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "239d9617", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.linear_model import LogisticRegression\n", + "softReg = LogisticRegression(class_weight='balanced',multi_class = 'multinomial', solver = 'lbfgs')\n", + "modelfitter(model,data,\"multi\",'raw')\n", + "modelfitter(model,data,\"multi\",'va',drop_file)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "77db0e30", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", 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\n", 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eSM9wok5qXd3s2bOZOHEijz32WLveNzMzkzvuuIM77rijXe/b1amrnoiIiIiISCdRcBIRERERETkJddUTEREREelCVqxY0SH3zcnJ6ZD79hYacRIRERERETkJBScREREREZGTUHASERERERE5CQUnERERERGRk1BwEhEREREROQkFJxERERERkZNQcBIRERER6WVycnIwDIMtW7ZEupRuQ8FJRERERKQbWLBgAZdddlmky+i1FJxERERERHoQv98f6RJ6JAUnEREREZEu5KWXXmLcuHFERUWRlJTEeeedx49+9COeeeYZ/ve//2EYBoZhsGLFisYpdy+++CKzZ8/G5XLx/PPPEwqFuP/++0lPT8fpdDJx4kTefvvt4z4zFApx0003MXz4cHJzcwF4/fXXmTJlCi6Xi8GDB3PfffcRCAQ669vQ5dgiXYCIiIiISGcwTZPaQG2nPzfKFoVhGKd0bkFBAVdffTUPPfQQl19+OVVVVXz44Ydcd9115OXlUVlZycKFCwFITEzk4MGDAPz4xz/mkUceYeHChTidTh5//HEeeeQR/vKXvzBp0iT+8Y9/cOmll7Jt2zaGDRvW5Jk+n49rrrmGvXv3smrVKpKTk3nnnXf4+te/zhNPPMHMmTPZu3cv3/72twH4xS9+0Y7fne5DwUlEREREeoXaQC2nv3B6pz933TXriLZHn9K5BQUFBAIBrrjiCgYNGgTAuHHjAIiKisLr9ZKamnrMdXfccQdXXHFF4+uHH36YH//4x3zta18D4He/+x3Lly/nscce409/+lPjedXV1XzpS1+itraWFStWEB8fD8Cvf/1rfvKTn3D99dcDMHjwYB544AHuvvtuBScREREREYmsCRMmMGfOHMaNG8fcuXO54IIL+MpXvkKfPn1OeN3UqVMb/1xZWcnBgweZMWNGk3NmzJjBJ5980uTY1VdfTXp6OsuWLSM6+ki427hxI+vXr+fXv/5147FgMEhdXR0ej6fJub2FgpOIiIiI9ApRtijWXbMuIs89VVarlaVLl7J69Wreffdd/vCHP/Czn/2MdetOXHdMTMwxx744PdA0zWOOzZs3j+eff561a9dy7rnnNh4PhULcd999TUaxGrhcrlP+PD2JgpOIiIiI9AqGYZzylLlIMgyDGTNmMGPGDO69914GDRrEK6+8gsPhIBgMnvT6uLg4+vfvz6pVqzj77LMbj69evZpp06Y1Ofd73/seY8eO5dJLL+XNN99k1qxZAEyePJldu3YxdOjQ9v1w3ZiCk4iIiIhIF7Fu3TqWLVvGBRdcQHJyMuvWraO4uJhRo0ZRV1fHO++8w65du0hKSmpcj9ScH/3oR/ziF79gyJAhTJw4kYULF7Jlyxb++c9/HnPubbfdRjAY5OKLL2bJkiWcddZZ3HvvvVx88cVkZGTw1a9+FYvFwtatW/n000/51a9+1ZHfgi5LwUlEREREpIuIi4tj5cqVPPbYY1RWVjJo0CAeeeQRLrroIqZOncqKFSuYOnUq1dXVLF++nMzMzGbvc/vtt1NZWckPf/hDioqKGD16NK+99toxHfUa3HHHHYRCIebNm8fbb7/N3LlzeeONN7j//vt56KGHsNvtjBw5khtvvLEDP33XZpimaUa6iM5UWVlJfHw8FRUVxMXFRbocERHpYl5Yl9ei8685fWAHVSIibVFXV0d2djZZWVm9dk2OhJ3o34WWZANtgCsiIiIiInISCk4iIiIiIiInoeAkIiIiIiJyEgpOIiIiIiIiJ6HgJCIiIiIichIKTiIiIiIiIieh4CQiIiIiInISCk4iIiIiIiInoeAkIiIiIiJyEgpOIiIiIiJdyOzZs7njjjtaff0vf/lLJk6ceMJzFixYwGWXXdbqZ/RGEQ1OTz75JOPHjycuLo64uDimT5/OkiVLTnjNBx98wJQpU3C5XAwePJinnnqqk6oVEREREZHeKqLBKT09nd/+9rds2LCBDRs2cO655zJ//ny2bdvW7PnZ2dnMmzePmTNnsnnzZn76059y++23s3jx4k6uXEREREREepOIBqdLLrmEefPmMXz4cIYPH86vf/1r3G43a9eubfb8p556ioEDB/LYY48xatQobrzxRr71rW/x8MMPd3LlIiIiIiIdJxQKcffdd5OYmEhqaiq//OUvG9/Ly8tj/vz5uN1u4uLiuPLKKzl06NBx7xUMBrnzzjtJSEggKSmJu+++G9M0O+FT9CxdZo1TMBjk3//+NzU1NUyfPr3Zc9asWcMFF1zQ5NjcuXPZsGEDfr+/2Wu8Xi+VlZVNvkRERESk9zFNk5DH0+lfrQkpzzzzDDExMaxbt46HHnqI+++/n6VLl2KaJpdddhmlpaV88MEHLF26lL1793LVVVcd916PPPII//jHP/j73//OqlWrKC0t5ZVXXmnLt7JXskW6gE8//ZTp06dTV1eH2+3mlVdeYfTo0c2eW1hYSEpKSpNjKSkpBAIBSkpKSEtLO+aaBx98kPvuu69DahcRkZ5l28EK/r0+D5fdyvgB8Qzu5450SSLSjszaWnZNntLpzx2xaSNGdHSLrhk/fjy/+MUvABg2bBh//OMfWbZsGQBbt24lOzubjIwMAJ577jnGjBnD+vXrOe20046512OPPcY999zDl7/8ZSA8i+udd95py0fqlSI+4jRixAi2bNnC2rVr+d73vsf111/P9u3bj3u+YRhNXjck+C8eb3DPPfdQUVHR+JWfn99+xYuISI/xvy0HuPzPq9m6v4KPs0t5elU2nx2oiHRZItJLjR8/vsnrtLQ0ioqK2LFjBxkZGY2hCWD06NEkJCSwY8eOY+5TUVFBQUFBkxldNpuNqVOndlzxPVTER5wcDgdDhw4FYOrUqaxfv57HH3+cv/zlL8ecm5qaSmFhYZNjRUVF2Gw2kpKSmr2/0+nE6XS2f+EiItJj5Jd6uPulrfgCIUakxGKzGmw7WMnLm/czICGKPjGOSJcoIu3AiIpixKaNEXluS9nt9qb3MAxCoRCmaTY7YHC849J+Ih6cvsg0Tbxeb7PvTZ8+nddff73JsXfffZepU6ce8y+XiIjIqfr1mzvwBkKcMTiRi8f3xzThryv3kl9Wy5ufFvD1MwZFukQRaQeGYbR4ylxXM3r0aPLy8sjPz28cddq+fTsVFRWMGjXqmPPj4+NJS0tj7dq1nH322QAEAgE2btzI5MmTO7X27i6iU/V++tOf8uGHH5KTk8Onn37Kz372M1asWMG1114LhKfZXXfddY3nf/e73yU3N5c777yTHTt2NC5yu+uuuyL1EUREpJtbn1PK29sKsVoM7rt0LBbDwGoxuGJyOgA7CyupqG2+AZGISGc777zzGD9+PNdeey2bNm3i448/5rrrrmPWrFnHnX73/e9/n9/+9re88sor7Ny5k5tvvpny8vLOLbwHiGhwOnToEN/4xjcYMWIEc+bMYd26dbz99tucf/75ABQUFJCXl9d4flZWFm+99RYrVqxg4sSJPPDAAzzxxBONC91ERERa6tk1uQB8dUo6I1JjG4+nxLnITIohZMKGnNJIlSci0oRhGLz66qv06dOHs88+m/POO4/Bgwfzn//857jX/PCHP+S6665jwYIFTJ8+ndjYWC6//PJOrLpnMMxe1sS9srKS+Ph4KioqiIuLi3Q5IiISQaU1Ps74zTJ8wRBv3HYWYwfE88K6I7+w+yS/nP9syCfOZeNHc0ditRy7fuCa0wd2Zskicorq6urIzs4mKysLl8sV6XIkgk7070JLskHEu+qJiIhEysub9uMLhhg3IJ6xA+KPeX9M/ziiHVYq6wLkltZEoEIREekqFJxERKTXemnjfgC+Ni2j2fdtVgvDU8LT9/Ycqu60ukREpOtRcBIRkV4p93ANOwursFoMLh7X/7jnDU8Jb4K7+1BVZ5UmIiJdkIKTiIj0Sku3HwLg9KxE4qOPv6XF0ORYDKCgoo7KOnXXExHprRScRESkV3q3PjidPzrlhOe5nTYG9AlvXvm5puuJiPRaCk4iItLrlNb4GluMnyw4AQxLrl/nVKTpeiIivZWCk4iI9Dof7C4iZMKotDjS+0Sf9PysvjEA5JV6Oro0ERHpohScRESk1/no88MAnD287ymdn94nCgMo8/ip0jonEZFeScFJRER6FdM0Wf15CQBnDjm14OSyW+kX6wRgf1lth9UmIiJdl4KTiIj0KjmHPRysqMNuNTgts88pXzcwMTylT9P1RESaN3v2bO64445Il9FhFJxERKRX+ah+tGnSwD5EO2ynfJ2Ck4h0ZZ0ZWlasWIFhGJSXlzc5/vLLL/PAAw90Sg2RcOo/MURERHqA1XvDwWnGKU7Ta5BRH5wOlNUSDJlYLUa71yYi0hyfz4fD4WjzfUzTJBgMYrN1TARITEzskPt2FRpxEhGRXsM0TT7ODrchnz4kqUXX9ot14rRZ8AVDFFd5O6I8EREgPHp06623cuedd9K3b1/OP/98tm/fzrx583C73aSkpPCNb3yDkpLwL4IWLFjABx98wOOPP45hGBiGQU5OTuPI0DvvvMPUqVNxOp18+OGH7N27l/nz55OSkoLb7ea0007jvffea1KD1+vl7rvvJiMjA6fTybBhw/j73/9OTk4O55xzDgB9+vTBMAwWLFjQWPfRo15lZWVcd9119OnTh+joaC666CL27NnT+P6iRYtISEjgnXfeYdSoUbjdbi688EIKCgo69hvcSgpOIiLSa+Qe9lBS7cNhtTA+Pb5F11oMg9Q4FwAFFWoQIdIdmaaJ3xvs9C/TNFtc6zPPPIPNZuOjjz7it7/9LbNmzWLixIls2LCBt99+m0OHDnHllVcC8PjjjzN9+nRuuukmCgoKKCgoICMjo/Fed999Nw8++CA7duxg/PjxVFdXM2/ePN577z02b97M3LlzueSSS8jLy2u85rrrruPf//43TzzxBDt27OCpp57C7XaTkZHB4sWLAdi1axcFBQU8/vjjzX6GBQsWsGHDBl577TXWrFmDaZrMmzcPv/9Id1KPx8PDDz/Mc889x8qVK8nLy+Ouu+5q8ferM2iqnoiI9BobcssAGJcej8tubfH1qfEucks9FFbUtXdpItIJAr4Qf/3+B53+3G8/Pgu7s2X/zRk6dCgPPfQQAPfeey+TJ0/mN7/5TeP7//jHP8jIyGD37t0MHz4ch8NBdHQ0qampx9zr/vvv5/zzz298nZSUxIQJExpf/+pXv+KVV17htdde49Zbb2X37t28+OKLLF26lPPOOw+AwYMHN57fMCUvOTmZhISEZuvfs2cPr732Gh999BFnnnkmAP/85z/JyMjg1Vdf5atf/SoAfr+fp556iiFDhgBw6623cv/997foe9VZFJxERKTX2JgbnqY3ddCpd9M7Wlp8FAAFlQpOItKxpk6d2vjnjRs3snz5ctxu9zHn7d27l+HDh5/yvQBqamq47777eOONNzh48CCBQIDa2trGEactW7ZgtVqZNWtWq+vfsWMHNpuN008/vfFYUlISI0aMYMeOHY3HoqOjG0MTQFpaGkVFRa1+bkdScBIRkV5jfU54xGlKq4NTw1Q9BSeR7sjmsPDtx1sfBtry3JaKiYlp/HMoFOKSSy7hd7/73THnpaWlteheAD/60Y945513ePjhhxk6dChRUVF85StfwefzARAVFdXier/oeNMTTdPEMI4017Hb7U3eNwyjVVMbO4OCk4iI9ArlHh+fF1UDrQ9OKXEuDKDGG6Cqzk+sy37Sa0Sk6zAMo8VT5rqCyZMns3jxYjIzM4/bEc/hcBAMBk/pfh9++CELFizg8ssvB6C6upqcnJzG98eNG0coFOKDDz5onKr3xWcBJ3ze6NGjCQQCrFu3rnGq3uHDh9m9ezejRo06pTq7GjWHEBGRXmFTXni0aXDfGJLczlbdw2GzkOQO/4VBo04i0lluueUWSktLufrqq/n444/Zt28f7777Lt/61rcaw0tmZibr1q0jJyeHkpISQqHQce83dOhQXn75ZbZs2cInn3zCNddc0+T8zMxMrr/+er71rW/x6quvkp2dzYoVK3jxxRcBGDRoEIZh8MYbb1BcXEx1dfUxzxg2bBjz58/npptuYtWqVXzyySd8/etfZ8CAAcyfP7+dv0OdQ8FJRER6hS35FQBMHJjQpvuk1q9zUoMIEeks/fv356OPPiIYDDJ37lzGjh3L97//feLj47FYwn+dv+uuu7BarYwePZp+/fo16ZD3Rb///e/p06cPZ555Jpdccglz585l8uTJTc558skn+cpXvsLNN9/MyJEjuemmm6ipqQFgwIAB3HffffzkJz8hJSWFW2+9tdnnLFy4kClTpnDxxRczffp0TNPkrbfeOmZ6XndhmF11EmEHqaysJD4+noqKCuLi4iJdjoiItNAL647/l4HmXHP6QACu/8fHfLC7mAfmj+Eb0zNbff/lu4pYuv0QEzMSuHJqRuP9RaRrqaurIzs7m6ysLFwuV6TLkQg60b8LLckGGnESEZEezzRNPtlfDsCEjIQ23Ss5NjzNr6hKI04iIr2JgpOIiPR4eaUeyj1+HFYLI1PbNtsgOTb828riKi+h3jVpQ0SkV1NwEhGRHm9LfjkAo/vH4bC17UdfYowDq2HgD5pUePztUJ2IiHQHCk4iItLjfdLQGKKN0/QArBajsbNeUZW3zfcTEZHuQcFJRER6vK3165vGp8e3y/20zklEpPdRcBIRkR4tFDLZXlAJwLgB7ROc+h21zklEurZe1kBamtFe/w4oOImISI+Wc7gGjy+I02Yhq29Mu9wzOa5hxEnBSaSratgryOPxRLgSiTSfzweA1Wpt031s7VGMiIhIV9Uw2jQyLQ6btX1+X3j0VD3TNDEMo13uKyLtx2q1kpCQQFFREQDR0dH6/2ovFAqFKC4uJjo6GputbdFHwUlERHq0bQfDwWl0Wvttet7X7cQA6vwhiqu9jS3KRaRrSU1NBWgMT9I7WSwWBg4c2ObgrOAkIiI92vb64DSmf/sFJ7vVQkK0nTKPn5wSj4KTSBdlGAZpaWkkJyfj92v7gN7K4XBgsbR9xoGCk4iI9GiNI07tGJwAktzO+uBUw7SsxHa9t4i0L6vV2ub1LSJqDiEiIj1WVZ2fkmovFgNGpbZzcIoJ7+WUfbimXe8rIiJdk4KTiIj0WAfLw/ssDe7nJsrRvr9t7usON4jIKVFwEhHpDRScRESkxyqoqAXatzFEgyR3/YiTgpOISK+g4CQiIj3WwYrwiFN7NoZo0DcmPOKUe9ijDTZFRHoBBScREemxCsrrR5w6IDj1iXFgMaDWH+RQpTbCFRHp6RScRESkR/L6gxyuCe8W3xFT9awWg4RoTdcTEektFJxERKRHKqifppca5yKpvpFDe+tbv84pR531RER6vIgGpwcffJDTTjuN2NhYkpOTueyyy9i1a9cJr1mxYgWGYRzztXPnzk6qWkREuoOGxhAdsb6pQVKMOuuJiPQWEd0A94MPPuCWW27htNNOIxAI8LOf/YwLLriA7du3ExMTc8Jrd+3aRVzckR+G/fr16+hyRUSkG2loDBEyTV5Yl9chz1BnPRGR3iOiwentt99u8nrhwoUkJyezceNGzj777BNem5ycTEJCQgdWJyIi3Vlhw1S9+KgOe0bjXk7tNVVvw8L2uQ/A1G+2371ERKRrrXGqqKgAIDEx8aTnTpo0ibS0NObMmcPy5cs7ujQREelGQqZJcVW4011KXMesbwJIigmPOOUe9hAKqSW5iEhPFtERp6OZpsmdd97JWWedxdixY497XlpaGn/961+ZMmUKXq+X5557jjlz5rBixYpmR6m8Xi9e75E2sZWVlR1Sv4iIdB0VHj++YAirYTSuQ+oICdEObBYDbyBEQWUdAxI6bnRLREQiq8sEp1tvvZWtW7eyatWqE543YsQIRowY0fh6+vTp5Ofn8/DDDzcbnB588EHuu+++dq9XRES6rkNV4Wl6fWMdWC1Ghz3HajEYmBjNvpIacktqFJxERHqwLjFV77bbbuO1115j+fLlpKent/j6M844gz179jT73j333ENFRUXjV35+flvLFRGRLq6ofkPa5FhXhz8rs2+4mVG2WpKLiPRoER1xMk2T2267jVdeeYUVK1aQlZXVqvts3ryZtLS0Zt9zOp04nR03TUNERLqeQ5XhEaeOXN/UIDMpHJzUklxEpGeLaHC65ZZbeOGFF/jf//5HbGwshYWFAMTHxxMVFZ7ucM8993DgwAGeffZZAB577DEyMzMZM2YMPp+P559/nsWLF7N48eKIfQ4REelaiqo6b8Qpq280ANklng5/loiIRE5Eg9OTTz4JwOzZs5scX7hwIQsWLACgoKCAvLwj+2/4fD7uuusuDhw4QFRUFGPGjOHNN99k3rx5nVW2iIh0YSHTpKiqYcSp86bqtVtLchER6ZIiPlXvZBYtWtTk9d13383dd9/dQRWJiEh3V+7x4w+aWC0GifXtwjtSw1S9vMMegiGzQ5tRiIhI5HSJ5hAiIiLtpah+fVM/t7NTQkz/hCgcVgu+YIiD5bUd/jwREYkMBScREelRDjWsb+qExhAQbkmenhhel5tXqnVOIiI9lYKTiIj0KA0jTp3RGKLBoMRwg4jcwwpOIiI9lYKTiIj0KIeqOq8VeYNB9eucctUgQkSkx1JwEhGRHiNkmhTXT9VL6cwRpySNOImI9HQKTiIi0mOU1fjwB01sFoNEd8d31GvQuAmuRpxERHosBScREekxGja+7RfrxGJ0XlvwgfUjTnmlnlPaakNERLofBScREekxGluRx3be+iaA9D5RWAzw+IIUV3s79dkiItI5FJxERKTHaGhFnhLXeeubAJw2K2nx9S3Jtc5JRKRHUnASEZEeo6R+tKefu3NHnAAy+4an6+UoOImI9EgKTiIi0iOYpnkkOHXyVD2AgYnhBhF5ahAhItIjKTiJiEiPUO0NUOcPYQCJMZ3XUa9BZpJGnEREejIFJxER6RFKqn0AJETbsVs7/8db415OpQpOIiI9kYKTiIj0CIfrp+n1jcD6JoBB9Xs55WqqnohIj6TgJCIiPUJJhIPTwMTwiFO5x0+Fxx+RGkREpOMoOImISI9QXD9Vr6+789c3AcQ4bY1NKXJLNeokItLTKDiJiEiPEOkRJ4BB9aNOuWoQISLS4yg4iYhItxcyTUobR5wiGJy0zklEpMdScBIRkW6v3OMnaJrYLAbx0faI1dHYWU8jTiIiPY6Ck4iIdHsN0/SS3A4shhGxOhScRER6LgUnERHp9oqrIr++CY6aqqfmECIiPY6Ck4iIdHtdoTEEQGb9iNOhSi+1vmBEaxERkfal4CQiIt3e4S7QGAIgIdpBnMsGQF6ppuuJiPQkCk4iItLtHRlxisweTkfL7BuerpejznoiIj2KgpOIiHRrvkCI8lo/EPkRJ4CB9Xs55alBhIhIj6LgJCIi3drhmvBoU5TdSrTDGuFqIDNJI04iIj2RgpOIiHRrJY3rmxwYEWxF3mBgfYMIrXESEelZFJxERKRbO9xFOuo10IiTiEjPpOAkIiLd2pHNb7tGcGrYBPdAWS2+QCjC1YiISHtRcBIRkW7t8FFT9bqC5FgnLruFkAkHymsjXY6IiLQTBScREenWSj3h4JQY0zWCk2EYDEoMT9fL1XQ9EZEeQ8FJRES6LV8gRFVdAOg6wQmOTNfLVUtyEZEeo1XBKTs7u73rEBERabGy+tEml91CtMMW4WqOaNgEN7tEI04iIj1Fq4LT0KFDOeecc3j++eepq6tr75pEREROSWlN15qm12BwfXDap+AkItJjtCo4ffLJJ0yaNIkf/vCHpKam8p3vfIePP/64vWsTERE5oSPBqWt01GswJNkNwN6i6ghXIiIi7aVV8xrGjh3Lo48+ykMPPcTrr7/OokWLOOussxg2bBg33HAD3/jGN+jXr1971yoiItLE4YbgFB25EacX1uUdc6zaG153daC8lkUf5eCwHfk95TWnD+y02kREpP20qTmEzWbj8ssv58UXX+R3v/sde/fu5a677iI9PZ3rrruOgoKC9qpTRETkGKU19Xs4dbGpejEOK1F2KwCH62sUEZHurU3BacOGDdx8882kpaXx6KOPctddd7F3717ef/99Dhw4wPz589urThERkWOU1vgB6NPFgpNhGPSLDU8fLK5ScBIR6QlaNVXv0UcfZeHChezatYt58+bx7LPPMm/ePCyWcA7LysriL3/5CyNHjmzXYkVERBqETLOxq15XG3EC6Od2klfqobhawUlEpCdoVXB68skn+da3vsU3v/lNUlNTmz1n4MCB/P3vf29TcSIiIsdTWesnGDKxGBAfbY90OcfQiJOISM/Sqql6S5cu5cc//vExock0TfLywotkHQ4H119//Qnv8+CDD3LaaacRGxtLcnIyl112Gbt27Trp8z/44AOmTJmCy+Vi8ODBPPXUU635GCIi0o01dNTrE+3AYhgRruZYfd3h4FSiEScRkR6hVcFpyJAhlJSUHHO8tLSUrKysU77PBx98wC233MLatWtZunQpgUCACy64gJqa4+97kZ2dzbx585g5cyabN2/mpz/9KbfffjuLFy9uzUcREZFuqqvu4dTg6BGnkGlGuBoREWmrVk3VM4/zA6C6uhqXy3XK93n77bebvF64cCHJycls3LiRs88+u9lrnnrqKQYOHMhjjz0GwKhRo9iwYQMPP/wwX/7yl0/52SIi0r119eCUGOPAYoA/aFJZ6ychgi3TRUSk7VoUnO68804g3C3o3nvvJTo6uvG9YDDIunXrmDhxYquLqaioACAxMfG456xZs4YLLrigybG5c+fy97//Hb/fj93edJ671+vF6z0yTaKysrLV9YmISNdxuIsHJ6vFIDHGSUm1l5Jqn4KTiEg316LgtHnzZiA84vTpp5/icBz5IeBwOJgwYQJ33XVXqwoxTZM777yTs846i7Fjxx73vMLCQlJSUpocS0lJIRAIUFJSQlpaWpP3HnzwQe67775W1SQiIl1XQ0e9rhqcIDxdr6TaS3FVHUOT3ZEuR0RE2qBFwWn58uUAfPOb3+Txxx8nLi6u3Qq59dZb2bp1K6tWrTrpucYXFgE3TB384nGAe+65p3GkDMIjThkZGW2sVkREIu1wdTcITm4HO4Di+lpFRKT7atUap4ULF7ZrEbfddhuvvfYaK1euJD09/YTnpqamUlhY2ORYUVERNpuNpKSkY853Op04nc52rVdERCKr1hek1h8Eunhwqm8QUaKW5CIi3d4pB6crrriCRYsWERcXxxVXXHHCc19++eVTuqdpmtx222288sorrFix4pQ68k2fPp3XX3+9ybF3332XqVOnHrO+SUREeqbS+ml6MU4bTps1wtUcX0NLcm2CKyLS/Z1ycIqPj2+cChcfH98uD7/lllt44YUX+N///kdsbGzjSFJ8fDxRUVFAeKrdgQMHePbZZwH47ne/yx//+EfuvPNObrrpJtasWcPf//53/vWvf7VLTSIi0vU1dNRL6sKjTQD96oNTRa0fbyDYpUOeiIic2CkHp6On57XXVL0nn3wSgNmzZx/zrAULFgBQUFDQuKkuQFZWFm+99RY/+MEP+NOf/kT//v154okn1IpcRKQX6eqtyBtEO23EOKzU+IKUVPsYkBAV6ZJERKSVWrXGqba2FtM0G9uR5+bm8sorrzB69OhjWoWfyPH2gzraokWLjjk2a9YsNm3adMrPERGRnqUhOPXpBi2++8Y6qTnsoaTKq+AkItKNWVpz0fz58xunzpWXlzNt2jQeeeQR5s+f3ziKJCIi0lG6QyvyBg3T9Yqq6iJciYiItEWrgtOmTZuYOXMmAC+99BKpqank5uby7LPP8sQTT7RrgSIiIl9U7mkYcer6TYFS410AFFaqQYSISHfWquDk8XiIjY0Fwh3trrjiCiwWC2eccQa5ubntWqCIiMjRQqZJuccPdI+peilx4eB0qFIjTiIi3Vmr1jgNHTqUV199lcsvv5x33nmHH/zgB0B4P6X23BRXRETki6q9AQIhEwOIi+oGI071wam0xoe3fu+plliXXdqi80/PSmzxM0RE5ORaNeJ07733ctddd5GZmcnpp5/O9OnTgfDo06RJk9q1QBERkaOV1zeGiI+yY7UYEa7m5GKcNmJd4d9THtJGuCIi3VarRpy+8pWvcNZZZ1FQUMCECRMaj8+ZM4fLL7+83YoTERH5orL6aXoJ3WCaXoPUOBdVddUUVmi6nohId9Wq4ASQmppKampqk2PTpk1rc0EiIiIn0p0aQzRIjXOxp6iawsraSJciIiKt1KrgVFNTw29/+1uWLVtGUVERoVCoyfv79u1rl+JERES+qFuOODV01qvQVD0Rke6qVcHpxhtv5IMPPuAb3/gGaWlpGEbXn2MuIiI9Q1l3HHFqbEke3kBePzdFRLqfVgWnJUuW8OabbzJjxoz2rkdEROSEGkac+nSDzW8b9It1YrUY1PlD5JfWMjApOtIliYhIC7Wqq16fPn1ITFS7UxER6VymaR61xqn7BCebxdLYlnzrgfLIFiMiIq3SquD0wAMPcO+99+LxeNq7HhERkeMqqfYdtYdTq/sbRcSAPlEAfLq/IsKViIhIa7Tqp84jjzzC3r17SUlJITMzE7u96TzzTZs2tUtxIiIiR9tfFv6FXVyUHZulVb/7i5j0hCg+Bj49oOAkItIdtSo4XXbZZe1choiIyMntLwu3807oRo0hGjSOOB2oIBQysZzK5r2mSXRdIVF1xfjssdQ6kwnYtD5KRCQSWhWcfvGLX7R3HSIiIifVEJy60/qmBsmxLmwWg6q6ALmlHrL6xpz4gkPbYOfrjKsqbDwUMmwc6HcWBUlnYlq611RFEZHurtXzHMrLy3n66ae55557KC0tBcJT9A4cONBuxYmIiBztQHl4ql53akXewGoxSKtvS751f/nxTzRDsOstWP83qCokZFipikqnzp6AxQyQUbSCMdkLsQbrOqdwEREBWjnitHXrVs477zzi4+PJycnhpptuIjExkVdeeYXc3FyeffbZ9q5TRESkW484AaQnRpNfVsum3DLmTxxw7AmmCZ+9DLmrwq8zZ7LJNZ2g1QWmSVLFZwwqfIeYugKG5b/IroHXaORJRKSTtGrE6c4772TBggXs2bMHl8vVePyiiy5i5cqV7VaciIjI0Y6sceqewSkzKTw97+OcsuZPyF55JDRNuBrGfjkcmgAMg8MJ49g56OsELQ7ia3LILHirE6oWERFoZXBav3493/nOd445PmDAAAoLC5u5QkREpG1M02zsqtcdp+oBZNZvfLuzsJKKWn/TN7NXwvZXw38edSlknN7sPTxRqezO+ComBsnlW4ir3teBFYuISINWBSeXy0VlZeUxx3ft2kW/fv3aXJSIiMgXldb4qPOHMID4qO4ZnGJddjKTojFN2JR71KhTXSW8egtgQvo0GHzOCe9T6R7CocTTAMgseAsjFOjAqkVEBFoZnObPn8/999+P3x/+bZlhGOTl5fGTn/yEL3/5y+1aoIiICByZphfrsmGzdq89nI52WmYiAB/nlB45+O7/g4o8iEqEsVeAcfJW5fuTz8FncxPlKyWtZHVHlSsiIvVataL04YcfZt68eSQnJ1NbW8usWbMoLCxk+vTp/PrXv27vGkVEpJcr+8+L7CqzAi76+WtIWt6xa3sOnzOvw+59WlYi/924n/XZ4eBUufDXxOU+A0BV6DQCK3c2Od9e4jnuvQ5Yx5LlXEta0Ucczu1DCDtl2fX7PO19sdlr+lx1ZTt8ChGR3qdVwSkuLo5Vq1axfPlyNm7cSCgUYvLkyZx33nntXZ+IiLTBtg87b4uIMTOb6RLXjg76wqNMSZbuPS3t9KzwiNOW/HKqPHVEF/4bAG/CTAK+tBbdqyyYQWpoO1GWSvrZPudQYFS71ysiImEtDk6hUIhFixbx8ssvk5OTg2EYZGVlkZqaimmaGKcwvUBERKSlDvrCP1+SLMEIV9I2g5JiyEyKJuewh5z3/sI4bx4hSxS1/S6HA1tbeDeDQ/6RZDo/Jtm+m6LAsA6pWUREWrjGyTRNLr30Um688UYOHDjAuHHjGDNmDLm5uSxYsIDLL7+8o+oUEZFerqAxOHXvESeAc0emEEMtWZ88CkBdv0sxbbGtuldpcCDeUAx2w0uSLbs9yxQRkaO0aMRp0aJFrFy5kmXLlnHOOU07/rz//vtcdtllPPvss1x33XXtWqSIiEhPmaoHcO7IZKLXPoo7WE7Qnoy3z+w23M1CUWA4GY7N9LPto84cf0rNJUREpGVaNOL0r3/9i5/+9KfHhCaAc889l5/85Cf885//bLfiREREAEyz50zVA5iWauHbtjcB2BN/GRitWnLcqDQwiJBpJcpSgTVU3A4ViojIF7UoOG3dupULL7zwuO9fdNFFfPLJJ20uSkRE5GjlQagNhYNTYg8YcXKs+wNxhocdoQz+4z2jzfcL4qAsmAGAM7C7zfcTEZFjtSg4lZaWkpKSctz3U1JSKCsrO+77IiIirVFQP02vry2EvbvPQqs6BOueAuCRwJW8XuYgYLb9tiWBwQA4gtkYprftNxQRkSZaFJyCwSA22/GnE1itVgKB7v+bQBER6Voapun1d7ZDwoi0VY+C30Oo/xQ2Ok+nJGBhTaW1zbetCSVRG4rHIIg9kNP2OkVEpIkWTao2TZMFCxbgdDqbfd/r1W+4RESk/R301gcnhwndODtF1xbAhn8AYJnzc+ZvS2bR6hxeK7UxM76ta7cMSgODGODYiiO4D1/byxURkaO0KDhdf/31Jz1HHfVERKS9NXTUS3OEoBv/jm7s509B0AeZM2HwbK6MqmLR6hyWl1vJrTMY1Mb7lwYzGMBWbKFDGP4yTHufdqlbRERaGJwWLlzYUXWIiIgcV8MeTv0dZrcNTrE1OQw+8L/wizn3gmEwun8cZ8cFWFlp48kCB79t0QT6Y/nNGAKWZGyhIhyV6/EmXdD2wkVEBGjhGicREZFIaGgO0d/RfefpjdvzZyxmEIZfCBnTGo/fnOYH4J1yG58F4tr8HJ81CwBH5cdtvpeIiByh4CQiIl2aaZpHmkM4QhGupnUSKneRWbAk/OKcnzV5b0R0iHl9wo2VflQ9gcMhR7P3MIFSnHxKX/YRj5fmG0r4bJmYGNjqcrH4itrtM4iI9HZt23FPRESkg1XU+qmp38Mp1WHSHlGgX+nGE76fkFdzyvfaO/CrJz1n/J4/ApCbOpdBaeOPef8nGV62eSzkeqP4TtVU7ov5jDG2SkwT9hHPGqM/a+jPQSO28RqXGeBKcycXsxfbUR0zTCOKgCUVe6gAe9VmvElzT/mziIjI8Sk4iYhIl7a/rBaAJFsIVzecJ5FU9gnpRSsIYWHrsFuabQARa4XHBtfxrZ029gbdfL3yDBIMH3WmlTrLkZEli2mSTA012KkynDxrjOUzsy/3mGubjD/5rQOxhwpwVG1RcBIRaScKTiIi0qU1BKfuur5pwp4/AJA94FKq3FnHPS/TZfJS/Goe9ozgHV8q5WZ4yp7DDDCZQ5xpHmQyh4gmgAm8bw7kb8Z4NhmpPMcYFpjbGu/lsw4k2r8Oa+1ejEAlpq3ta6dERHo7BScREenS9pd5AEjrhsEppWQNqYfXETRsfDrseyc9P9Hi4zfuT/m5uZ2cYDTRRhBf2eEmU/EADGAOeUSZAR42pvGaMYwp5iHGUQKAaYkh4BqErS4Xe9Un+PrM7IiPJyLSq3TDSQ8iItKbHBlx6l6NIYxQgCk7HgJgz8Cv4Ynqf8rXRhlBRtmqGGT1HBOajnYmB7nQ3AfA88boJmf6YycB4Kja3PLiRUTkGBENTitXruSSSy6hf//+GIbBq6++esLzV6xYgWEYx3zt3LmzcwoWEZFO1xCcutuI05D9L5NQ/TleezyfDf1uhz3nSnMXLjPAHiORdaQ1HvfVByebZweE6jrs+SIivUVEg1NNTQ0TJkzgj3/8Y4uu27VrFwUFBY1fw4YN66AKRUQk0hqm6nWnNU4OXwXjd4d/tn067GZ8jvgOe1YCXi5mLwCvGEd+HoYcaQTtSRhmAHvNrg57vohIbxHRNU4XXXQRF110UYuvS05OJiEhof0LEhGRLudAef1UPWf3mao3aef/4fKXUe4eyp6MKzv8eReZ+3iZYewxEtkXjGGwtQYMA3/MOKzlK7BVf4Y/dkKH1yEi0pN1yzVOkyZNIi0tjTlz5rB8+fITnuv1eqmsrGzyJSIi3UNFrZ+quvDmsN1lql5KyRqGHPgfJgYfj/0FpqXjf0fZBy9TOATAa94ja6kC7rEA2Gs+BbN7fP9ERLqqbhWc0tLS+Otf/8rixYt5+eWXGTFiBHPmzGHlypXHvebBBx8kPj6+8SsjI6MTKxYRkbZomKbXx2YS1Q1+Ytn9VZz+2X0A7B50NSV9Jnbas8818wB409ufgBneMNgfMxLTsGH1H8biK+y0WkREeqJu1Y58xIgRjBgxovH19OnTyc/P5+GHH+bss89u9pp77rmHO++8s/F1ZWWlwpOISDfRrTrqmSanf/oL3LUHqI4awCfDb+/Ux0+hkDjTSwlONgb6cDqAxUkgehj2mh3Yqz/D60w72W1EROQ4usHv707sjDPOYM+ePcd93+l0EhcX1+RLRES6hwPdaPPb4bkvMPDQUoKGjY8m/h8BW0ynPt+GyWmER5U+9PVtPO6PaZiu91mn1iMi0tN0++C0efNm0tL0GzQRkZ7oSCvyrj3ilF74HpPr92zaMuJODieMi0gdU8z64OTv13jM7w7XYvPshpA3InWJiPQEEZ2qV11dzeeff974Ojs7my1btpCYmMjAgQO55557OHDgAM8++ywAjz32GJmZmYwZMwafz8fzzz/P4sWLWbx4caQ+goiIdKD8+jVOA7rwiFNq8WpmbLkbCyE+T7+CXZlfj1gtEyjGRoi8UAy5dR4GuUxCjlSC9iSs/sPYa7TvoYhIa0U0OG3YsIFzzjmn8XXDWqTrr7+eRYsWUVBQQF5eXuP7Pp+Pu+66iwMHDhAVFcWYMWN48803mTdvXqfXLiLSGf67+79tur72kLNF509JmdKm57W3/NKuvYdTv9KNnFb4GyxmgPyUOawf83MwjIjVE0WAKbYy1gWS+LDSyiBXAAyDQMxYrOUfYNN0PRGRVotocJo9ezbmCdqjLlq0qMnru+++m7vvvruDqxIRka7ANM0ja5y62B5ODn8lAwvfJalyOwDZ/b/EurH3d0rr8ZOZ6ShmXSCJ1ZVWvp4cbuXud4/FWf4B9urPwm3JIxjuRES6q8j/F15ERKQZFbV+qrzhv/h3hREnI+THXXuAvuVbSarYhtX0Y2KwdditbBtyU5cJI6fZSgH4pMZKwASbcXRb8hI4/Dn0HRbhKkVEuh8FJxER6ZLyS8OjTf1inbgsNR32HCteoi1lRFkqsBo+rATgwB4sIR8WM4A15MURqMbpK8ViHhn5qopKJ6f/PLYN/XaH1dYaQ63VxBp+qkJ2dtVaGBMdAouLQNQw7J4dsGepgpOISCsoOImISJfUsPltep+oDrh7iERrHkm2HNyWYgzjCyNa5c1f5bPFUBEzhOI+k6iKHthlRpmOlnvYwwijhA1GGq/meqlxVQEwKDCYkezg4MY3WGG5uMk115w+MBKlioh0KwpOIiLSJTV01MvoE92u900Mfs4o17tEWSobj9WFYqkNxeM3XYSw4R+QRshiJ2TYCVoc+G1u6hx98Nnju2RY+qLR5mE2GGnsCTg5n3BwOmwZDrxJculGLEEvIWvLGoeIiPR2Ck4iItIlNezhlJEYFR4Byv0IgH71nfZaziTVtp00+zYMCwRMB0X+4ZQGB+Ezm25W6+83svWFdwFjKAFgT9BByASLAdVGCnXE4gpV0a9sM4f6nhHhKkVEupduvwGuiIj0TA2tyNPbZcQpRKZjHf0d2zAMKAlksa12HoWB0ceEpp4giwqchPCYVgpC9vBBw6gfdYK0ktURrE5EpHtScBIRkS4pv2HEqc3ByWSgYyOJtjxM0yDXO5U832kEcbS9yC7Khskgqw+AnMCRz3nYGm4KkVqyJiJ1iYh0ZwpOIiLS5Zim2W7NIdLs2+hry8Y0DbJ9Z3A4OLg9SuzyBtnCwSk3eFRwsoSDU2LVTlzekojUJSLSXSk4iYhIl1NS7aPOH8IwoH9C64NTnKWANHt4k9pc31TKgxntVWKXl1k/4pR9VHDyGW5K40YBkFqyNiJ1iYh0VwpOIiLS5TR01EuLc+Gwte5Hld2oJdO5DoBi/xBKg1ntVl930BCcDgTt+I/qtl7QdzoAqYc1XU9EpCUUnEREpMtp6KjXlsYQ6fZN2AwfnlAC+/0T26myFjBN7KXFuPKzicreQ/Tn23EezCNU03Gb+R4tyRLEbQQJYrD/qFGnwr5nAvUNIkzzeJeLiMgXqB25iIh0OY0d9RJbN00v3nqAPrYDmKZBjncaJtb2LK9ZtspyYrdtJnbbJqJy9+Is3I/V5z3mvF33gCUuDteY0cScfjrBqmrs6ekYlvb9XaZhhEedPgtEkRN0kFW/5qk4YRIBi4sobwnx1XuoiB3ers8VEempFJxERKTL2d+GjnoWAmTYNwNwKDCCOjOhPUtryusjceU7JH34Du7d245527RaCcTEYtrsmFYr1poqbJ4aQpWVeNasxbMmvM7IkpBA9OTJRPULYI1xtVt5jcEp4ID6/W5DVgdFSVPpX7yKtJI1Ck4iIqdIwUlERLqctnTUS7btxmHx4A3FUOAf3d6lAWCUV+H8cCv2LXuI8wUaj9dmZFE5dgo1w8dQl5aBt18a2Jr+qL1qTBL+/fl4Nm7Es+5jqleuJFReTvX771NtGEQNH4B70hCs0c421znQ5gMv7A/amxwvSDqzPjitZmfW9W1+johIb6DgJCIiXU7DVL2MxGNHnA75hhz3OrvhYXzUqwDsqD2PQv+IVj0/eCCJfgMOH3PcKKvCuWIz9i17MELh9UF1qemUzryA0jPPxZ/Y76T3trpjsI4ciWvkSBKvvZbS5/9J3fbteDZswJ+XR+2u/dTtPUj02Ezc49vW0CLd6gfgYCjcIMJuhI8X1K9z6le6EWuwrk3PEBHpLRScRESkSwmFTA6U10/VayY4ncgQ52psho+KQAoF/lHtV5TXj3PlFhyrP8MIBAEIDO6Pd9ZEds+6PbygqJUMu52oCROImjAB37o3qFq/G39xBTVb9uHNOYQxYRhmvLtV9040gkQbITymhcKgnQxbOEhVugfjcSYT7S2iX+kmQNP1RERORsFJRES6lENVdfiDJjaLQWrcqa/3cRpVDHJuAmB33Wyg9WHmaLbPsnG9tQZLVXgULDC4P97zphLMSA6f0IbQ9EWO1D4kXjwNb84hKtfuJFBeg3PlJwRGDiQwNL3FzzIMSLf62B1wkX9UcMIwKOh7JkMOvEra4dXA19rtM4iI9FQKTiIi0qXkl4ZHm/onRGG1nHpQyHSux2IEKQ2kUxJo+55NRrUH1+ursW/PASCUGEfdhacTGDmwXcPSMc81DFxZqTjSEqn4aDve3CLsO3KxlFfjmzQcbC3rEJhu8bMbF/tDDsDTeLywPjillqxu508gItIzKTiJiEiX0prGEDajloHOcCe9fXXTaetoU0z2bmJWvoWl1otpMfCdPRHvrIktDi1tYXE5SDh3Avmbs7Fv3Yu14DBOz1a800ZD1Kk3jsio3wg3/wsNIgr7noGJQZ+qPVBVCLGp7Vq/iEhPow1wRUSkS2kYcWpJK/JBjvBmt5XBfhQHjt884mSMYIDEbWtJfecVLLVegqlJ1Hz3MrxzpnRqaGqsxzAIDkzFN30spsOGpaIG14efYFR7Tn5xvYYGEfuD9ib73XodfSiNq18Htnd5e5YtItIjKTiJiEiXkltaA8DApFMLThYCDHJuACC77gxaO9pkq6kkbc1bxOXvAsB71nhqvnMpobSkVt2vPYWS4vHOnEjIHYVR58P50acYVacWntKsfiyYeEwrZWbT8FdY312Pve+3d8kiIj2OgpOIiHQpuYfDgSAzKeaUzk+178Bp8VAXim11J72oov30X/MGjuoygg4XB7/0Vbxzp0VklOl4zBgX3hnjCcVFY3j94fBUWXPS6+wGpFjCe00d/OJ+Tg3Bad9yCIXavWYRkZ5Ea5xERKRdbPvwQIuvMU0Tb22A6lIv3ho/AX+IPntqODdg5/C7+1mypgS704q5P5romiHYLQHA1+Qeg5wbAcjzTsKkhUHHNInft5WEPVswgLqEfhRPnI0vYzBujt3HKeKcdrxnjsO55jMsFTU4V3+Gd+Z4zJgTrwfrb/VTELJTELSTdtTxkj4T8VujsNcUw6HPIG18x9YvItKNKTiJiEin8tYGKMmvomR/NVWlXgLeYJP3J9WHn6rPq6iiqv5oNDAWmxHAbtTgslQRbSmnn+1zEmwFhEwr+b6JLSskFKTvZ2twH9wLQGXGCEpHnQaWrjPK1CyHHe/0cTjXfIqlogbHmm14Z44Hp+O4l6RZGjbCtTH5qOMhi52ixGkMKP4gPF1PwUlE5LgUnEREpMOFQiZFOZUU7K2goqi26ZsGxMQ5iIpz4MFk5aEKrHaDi9OTCHhD+H1BPCWV1PksBEwbATOe2lA8ZaRT4s/Ea7pJtOXiDcWccpdwI+AjefMKog4XYBoGh0efQXVGN9oE1mHDe/oYnKs+weKpw7luO94zxx13amH/+gYRBV+YqgdQ0Hf6keB01h0dWbWISLem4CQiIh0mFAxRsLeSvO2H8dYEGo/HJrnoNzCWPinRRCc4sFrDS25XHixjeVUJo/vEMGxqSuP5ng0bCJbsozbgoqjGiScUT20oFq/pZkfteQDYDC9uSwlxtiJshv+4NVnrakjZuAxHVRkhq43iibOo7ZfeQd+BDuRy4DtjbDg8lVfj2LgT37TRze4xlXZUcDJNE+OocxrXOeWtAZ8HHKfezVBEpDdRcBIR6WWCZoBDoQIOhvIoDB4ggB8TEwOD3aVbGewYxhDXCPra+rX6GaZpUpxfzecbivDVhgOT3WUlfUQfUjLjcLmPHfkAOFjjBaB/zLH7FFkNE7e9ljpbBXEU0d++lSRbHttqz2Nv3QwCppPy4ADKg2m4LaXE2wpwWpqObtmrykjZ+B62Og9Bh4tDU87DFx/5rnmtZbqjwiNPH32K9VAZtp25BEZlHnNesiWABZM6LFTU+kmIPjKtryomE+IzoCIfclfDsPM67wOIiHQjCk4iIr1EeaiUTf41bA1swP+FBgsN9pRvb/xzf8tAxtumMMI2Dodx6huuhuoMvDudBErCP2IMZwjHID/2AX5KrBWU1AD1zeCmpExpcm2BJ1xXWvTx1+s0GOjcTB/bQapD/QiY0XhCfagM9KPOjKM61JdqX1+iLOUk2g7gtNTgOlxI383vYwv4qY1xs3PKmfii7GBWHnPv0qDB9sDeU/q8xeVLmj0+KeGiU7q+rcw+sfgnDsWxaTf2PfsJxbsJ9e/b5BxbfWe9gpCdoipvk+CEYcCQc2DTs+HpegpOIiLNUnASEenhqkIVrPAtYVfwM0zCO6BGEc0A60DSLBm4jCgMDIIEKQ4Vcih0kKJQIQdDeRz05fG+7y1Ot89iiv1M7EbzI0UN/Adt1O1yQtAAw8SR6ceR6cM4xX4LJxpxOlqMpYQ+toOETIMDvjFYjBBu62Hc1sPUhWKoCKRSE0qkNpTAAV8Ccf4DjNyxFFvAT2WfJHZPPIOg4+ThrLsIpifjL6/Gvu8gjs278bqjILHpOWn1nfUOVdYxPCW26ZtDzj0SnEREpFkKTiIiPZRpmnzq38hy31t4qQMg0zqMqbYZZFqHNlnn8kXVoUq2BbawNbCBcvMwH/rfZUtgHWc7LmCUdcIx15oh8O5y4j8QDlaW+CCuUV6s7pbtDXTQEw5OaScJTumOTwEoDgzFZ7qbvOey1OBy7MUf2k9ZYADVwSQq7QP4eMo9JJVtpq5fBdh63p5FgdFZWCprsJZU4Fi/E2PAGZj2I+Gwv8XPJqCoynvsxVmzwLBA8Q4oz4OEgZ1XuIhIN6ENcEVEeqC6QB3/3vlv3va9jJc60izpXOe6ha+6FpBlG3bC0ATgtsRxuuNsboy6g3nOrxJrxFNlVvCm97+86n2eGrO68dxQnYFnY1R9aDJxDPESPbW2xaHJEwhS7g2vh+offfzgZBCif31w2u87fvtsu8VL5uFlTNvwa/oVbwHDwuHEKdQEZ+IPpmOap9iCr7uwGPimjMR0ObDU1NJn3Yombzd01iuqrDv22uhEyDg9/Ofd73RwoSIi3ZOCk4hID1PuLWfhZwvZU74HKzZm2S/kGte3SbH2b/G9DMPCGNtEboj6AWfZz8OKlc+DO1nkeYLPAzsIVlrwfBxFqMIKNpOoiXU4s/yn3Bb8aAX10/TiHTZi7Mef29fXtheXpQZvKJpi/5DjnhdzYC/9PvkQd00BWWXLSLNtw2JUAXZ8gZHU+acRDMUe9/puyWnHN3kEJuD+fAfRe3c2vtXQWa+oyotpmsdeO/zC8D93Nb9mS0Skt1NwEhHpQQ5WH+Qfn/6D4tpiYu2xXOv6DtMcM7Gc6iKj47AbdqY7zuHrUTfT10jBQw2rS1ZRtdGG6bNgiQkSM82DrW/w5Dc7Xu2n2BiiYZreQd8YTJr/XO783fT9dBUGJlXpwygZN4MoWw0u+zocth2Aj5AZS51/Gr7AUEyz5/w4DPWNJzA8A4DENe9jqywDjnTW8wZCVNQ20659RH0zi5wPwVt17PsiIr1cz/lJISLSyx2sPsiz25+l2l9NSnQKN4y7oVWjTCeSbEnlG1HfY3bVZVy8/WasQQdlcQexTC3DEt3MKEYLNIw4DTjB+iYbNSTb9wCw3zeh2XNi83bRd9saDKBy4AgOj5keXr9DuIGc3XqAaMcarJYCwMAfzKTWdwbBUEKb6u9KAsMHUpcyAEvAT9KH70Io1NhZD46zzqnvcOiTBUEf7F3eyRWLiHR9Ck4iIj1AkaeIf+74J76gj0Fxg1gwZgFxzriOedhhFyO3z8YecrI/fheLR/6ef/qfpDxU2qbbNnTUO1FjiETjMyxGiPJAKtWhY/eZcu/fQ9L2tQBUZI6mdNTpzW4Iaxh+XPZtOG1bMKjDJJo6/xR8gSE9Y+2TxeDw2XMJ2R04iwuJ+2wjcGS63qHm1jkZBoyYF/6zpuuJiBxDwUlEpJs7XHuY57c/T22glgHuAXxt5Ndw2k5936WWCJRZqN3qgpCBrV+AxIkGUbYoyswS/ln7FIXBA62+d2NHvRM0hkiyfBY+1zf2mPdiDu4j6bPVAFQMGkXZiKnNhqaj2awlRDnWYLMcJDz6lEWd/zQMn6uVn6LrCMbEUnb6LADit6zFXlZCf8uRdU7NGlG/zmnPOxBq/bRLEZGeSO3IRUS6MY/fwws7XmicnnfNqGtwWjsmNAWrLNR+EgUhA2vfAK5xdURZ+vN163d5yfsMxaFC/l33NPOdV5NlG97i+xecZA8nB+W4jf2YJhT6RzV5L7owt35NE1RmDKds5GknDU0NDCOI074da7AYb2AUITMOR+5o+hQexGXfftLrE2M+bfZ4UlTzUxfLchKbPd4RaoaMIir3c6Lzs0n68F36n78AiG++sx7AwOngjAfPYdi/AQae3mm1ioh0dQpOIiLdVDAU5KXdL1HmLSPBmcC1o64lyhbVIc8KeQxqN7sgYGBNCBI1rq5h2RBuSxxXu27i1boXyAvt5WXvc8w1L2esffIp378uEKS0vhV5WkzzzSESjfBoU2lgEN6j9m6KKt5Pv09WYpgm1f2HUDr6jFMOTUezWYuxWCrw+scQMpOo8c4lEBxAjHM5hhFo8f2O5+Ps409p7FfqabfnAGAYlE6fg7PoeRylxUzdsYq/Dv5yY2e9Y9rSW+0w7Hz47CXYvUTBSUTkKApOIiLd1Lu575JTmYPD4uBrI7+G2+E++UWtEPKBZ3NUuHueO0jUhFq+2KTPabj4ius6lnhfZkfwE5b4FlNlVnCGffZJ94yCIx314uxWYu3N/2hqnKbnH914zFVykOTNyzHMEDWpmZSMO7NVoamBxfDhsm/GH8zCH8zCGxhLIJRKrOsNrJayZq9x1+Q2e7xf7XGmw3WyUHQMZafPpu/Kt0n/7GMG9TuL3NgUKmr9JDTXwXDEReHgtOttOO+XnV6viEhXpTVOIiLd0OZDm1lfuB6Ay4ddTnJ0coc8xwxB3acuzFoLhitE1KQ6DHvz51oNG19yfoVp9rMBWOV/j6W+/xEyT75WpuAkjSFcwQNEG4cImRYO+UcA4CwrCoemUIia5AyKx89s7J7XFoYBDls2ca7FGEYNwVBfKjxX4wtktfnekeLJGk5teiZGKMgPti7GMEMUVx8n2A2dA4YVindAaXbnFioi0oVFNDitXLmSSy65hP79+2MYBq+++upJr/nggw+YMmUKLpeLwYMH89RTT3V8oSIiXcihmkMsyQ53PZudMZsRiSM67FnePQ6CZTawhje3tThP3HLcMCzMcsxljuMSwOCTwHr+530Bv+k74XUHak7cGCLRH+6UV2kOwW9GYa8qI3njMizBAJ6+AyieOAss7fsjzW7bT0LU89gsBzBxUlU3H49vGs3tHdvlGQalZ5xDyGZnRPE+5uWspfh4DSKi+sCgM8N/3v1259UoItLFRTQ41dTUMGHCBP74xz+e0vnZ2dnMmzePmTNnsnnzZn76059y++23s3jx4g6uVESka/AH/Szes5iAGWBowlBmDpjZYc/yHbDhzw9P5XKNqcPqDp3ytZPtZzDfeTU2bHwe3Ml/6v6Bx6w57vn7a8LNCtLdzQQn0ySpPjgdNsdi81STsmEp1oCPuoR+FE+aDZa2bfB7PBaLh7iol3DaPgEMan0zqK67GNPsfjPdg+44yqfMAOBb296ktqDw+Cc3bIa7881OqExEpHuIaHC66KKL+NWvfsUVV1xxSuc/9dRTDBw4kMcee4xRo0Zx44038q1vfYuHH364gysVEeka3sl5h5LaEtx2N/OHzj+l9UOtESy34N0ZDjGOwV7syS1vTT3cNoavur6FiygKQvm8UPuX4+71lF8/bWyg+9g24K6q7bhChwiaNsrrMknZsBSbtxafO4GiyXMwrR0bYgwjhNv1PjHOd4EAvuAwKmq/SigU06HP7QjVI8ZRlDGM6ICX2cteOP6Joy4J/zP3I6g61DnFiYh0cd1qjdOaNWu44IILmhybO3cuGzZswO/3N3uN1+ulsrKyyZeISHe0/fB2NhVtAsLrmmLsHfMX95APaj91gRneq8mR1fx/X09FunUQ10R9mzgjgTLzcLN7PZmmSX51eMQpo5ngFH8oPOpR5huOc9Uy7J5KAq4YDk09j5CjY1qvN8dl30Zc1GIMagmGUqmo/RqBYN9Oe367sFjYcdX3CGIwdd9G3Du2NH9ewkAYMCW8yG3Ha51aoohIV9Wt5hoUFhaSkpLS5FhKSgqBQICSkhLS0tKOuebBBx/kvvvu66wSRUQ6RLWvmjf3hQPEWQPOIiu+YxoVmCbUbXdhei0Y0SFcY+ra0qQOgCRLMte6vsNi77MUhQr4d93TXOK8iiG2kQAc9vqpDYSwGM20IjdDxB96m1AQSj4ysZaVELQ7KZx6PkFX54/42K0HiY/+F5W1lxEyE6movYpY1+s4bHmdXsvJ9Cvd2OxxR2Ytb2ZN59Ls1WT+/bfU3nI5WJsJgHED4MBGWPcUTLupg6sVEen6utWIE3DMtBSzfpXu8aar3HPPPVRUVDR+5efnd3iNIiLtyTRN3tj3BrWBWlKjU5mVPqvDnuXPsxMssYHFDO/V1E6/XnNb4via60YGWYbgx8fL3udZ61sRHm2qb1LQP9qJ/QsNHqIrNmOrLeTA2r6YRRWYVhuHpp5HwB3fPoW1gtVSQXz0v7FZ8wEHVXWX4fWPjFg9LRVtDfH6+POocMRgLy7DsXZb8yemTQz/8/BeTdcTEaGbBafU1FQKC5suZi0qKsJms5GUlNTsNU6nk7i4uCZfIiLdyacln7K7bDcWw8L8ofOxdlAjhGCFBe/n4REf53Av1thTbwZxKpyGiy+7rmei7XTA5EP/Uh4v+g37qsqB5qfpxRYu4dCmeKrzHZiGhbozz8cXH/npcRbDS5zrFRy2nYCVau9F1PpOfcPfSOsTZ+Ufo+cB4Fy+CX9Z9bEnRSeGp+xharqeiAjdLDhNnz6dpUuXNjn27rvvMnXqVOz242wsIiLSjVV6K3k7O9wSelb6LFJiUk5yReuYAaj9rH5dU3IA+4BAhzzHalg533kpFzjmY8HK2poPeSP0/7A4D5DxxY56ZpDge+9R9nl4Sp532myCKekdUldrGEYQt3MJLnt43ZnHN4sa78xu0a68v8vH0kGnUZjcH8Prp+hfK45z4qTwP7e+2Gm1iYh0VRENTtXV1WzZsoUtW7YA4XbjW7ZsIS8vPFf8nnvu4brrrms8/7vf/S65ubnceeed7Nixg3/84x/8/e9/56677opE+SIiHW5J9hLqgnX0j+nPjAEzOuw5dbucjZvcuka1fV3TyUywT+Mq1w0kWvtSazlEdOafKYt6n5B5ZJTLseTPlH4SnivoPfNiAhlDOraoVjAMiHZ8QLRjJQB1/qnUeM/DNDv4G9hGA1xeTMPCy6d9CdOAytXb8exsZip7/8mAAfs/Dk/ZExHpxSIanDZs2MCkSZOYNCn8G60777yTSZMmce+99wJQUFDQGKIAsrKyeOutt1ixYgUTJ07kgQce4IknnuDLX/5yROoXEelI7+e9z66yXVgMC5cMuQSL0TH/yfYXWQkU2AEz3Ayikwbw062D+F36n6F6LIYlyNrg8/zy4F3k+3Jg80cEXvkfADGnD8A/7qzOKaoVDAOiHBuJcb4DhPAGxlHtnUuoC4enAa7whsTr3Vn4p4TXZxU+8x5m8AvTM13x0K9+g+Wt/+nMEkVEupyIdtWbPXt2Y3OH5ixatOiYY7NmzWLTpk0dWJWISOR5/B4e/PhBAKanTe+wKXohn4F3R3iKnH2QH1uf9l3XdDLBQBRV+ddiT1hHQv932O3dztPrbuYXLwSxAAmDa/BedgPkdGpZreKyb8cgQLX3QnyBUeyujWV41EdYjM79np6KAVHhhhyHvHaq5pxG8s4cvPnFlL23mcS5U75w8lQo3hkOTrPvocOHI0VEuqhutcZJRKS3+NOWP1FYU0iCM4Gz08/ukGeYJnh3ODH9FiwxQZyDfR3ynBPJqaoDDPr5zubhjL8yp3YCP/qvD1sgyKeDYcn5DsoSuk/TBad9N7Gu14EAZYF0dtWeRcjsej9qE2xBoq1BTAwKrHH0++pMAIpf+pBARU3Tk1PHgT0GynIgb23nFysi0kV0vf+ai4j0cjtLd/LPHf8E4KKsi7BbO2buXKDARqDYBoaJa6wXo2Oa9Z1QTlUtAJlxUfSttfPtfxYQVwv5qRYeutzK7xOjuO3AjbwctZRSWzOd37oghy2bONerWAhQHhjA7toZXS48GUa4QQTAgToHCedMwDkomVCtj+KXP2p6ss0JYy4L/3nTs51bqIhIF9K1/ksuItLLBUNB7l9zP0EzyNzMuQzrM6xDnhPyGtTtDk/Rcwz2tXvr8VOVU1kHwBCXgfGH/4dRfBAzKYUzz6rmZxWl9DPiqQiW80bUB/wo8yUe7f8ua5P2UGWrjUi9p8puy2dE9EqM+pGn3bVndrk1TwNc4el6B2odGBYLKdeeC0D5+5/g3V/S9OTJ14f/ue1lqC3rzDJFRLoMBScRkS7kxd0v8mnJp7jtbn582o877DnenU4IGFhigzgG+TvsOSeTXVWLxQxxwdt/wcjeiRkdi+v6r+K2lXOJ18nvBz7DHck/Y6Q/C9Mw+SzmAC8P/JhfjX2Z3498k5cy1vFx4ufkRpdQY63DpOv0Ak+wHWJk9IcYBCkLZLCni4WnhgYRB+vCe3fFjB6Ie8owME0OvbC86ckZ0yB5NATq1JpcRHqtiDaHEBGRI4o8RTyx6QkAbp98O/2i+3XIc/yHrEem6I320kHN+k4qZEJeZS3f2fo/+mavx7TZMW+5nz7B8F/MK5PPx2Z1cYZ7JuOroiio3MRGdw7ro3LJjzlMQVQ5BVHlfNz388Z7OoM2Yv1RxAScRAUd2ENWrKYFmxn+pzcUwGpasJoWLKYFq2k0/tMetOEM2nEGbUQHnPQ1g0QFLRi0Puwk2AoZEf0huzwzKQ0M5PNaGBa1GsOIfMAb0DhVzwmER59Srp5F9Za91GzNpvqTfbgnDA6fbBgw5Zuw5EewcRFM+7aaRIhIr6PgJCLSRTy0/iGq/dWM6zuOK4df2SHPMH3g3VU/RS/TH7EpegClXrhk9wouzQ6vqTFv+AkMHUnsh+GNziuSL2xyfpo/novLJnBG/iiqbLXkxpSQF1NCfvRhSpxVVDg8eK0BvNYqSqhqlxptIYM+Pht96+z09dpJq3UywOMkOnjqC8L62AoYEbWKXbVncTgwEGpNhkWtiXh4apiqd7DOQcgEiwGO1EQSz59M6dsbKPrXCmLGZmJY65P1+Cth6b1QtB1yV0Nmx+0rJiLSFSk4iYh0AasPrOadnHewGlbunX4vVkvHdGqo2+PE9IW76DmyOr+L3tGiNn/CjdveACBnznUUJo1jwI53GROoxGNN5IPywZgVpQDElHiIrTlSb2wgirEVGYytyGg85jcClDlqqLF5qbF58Vi9BCwhgkaIoBEkYISoNGoJWEKECBG0mISMECEjRNAw8VsCeK1+6mx+PDYvHruPgMWk2OWn2NV0OmNSnZ3B1S6GVUYz0OPC2swUvN2hwiMvrIW4XeVU1V3M4cAgqmo9uJ3vtGt4Gm5JbdH5yU4/NiOEz7RwwGMhIyYcovtefiYVqz7Du7+E8hWf0GdOeK9FohJgwlXhEae1f1ZwEpFeR8FJRCTC/EF/455NV4+8mpGJIzvkOYHDR210G8EpegDu7H1MWhLeUHX1qHOwTPsSAFnV4bU1uTGzMVvY5s9u2kj2xjfMOmvWIbPylO9nc2ylyhag1OmvD08+DkR5OewKcNjl57DLz/q+VTiCBiMrYhhXHsOgGtdxp/Y5bPuIdb1BVd3F+AKjqCFAjPO9Tp/xZl+/M/xPIM3oT74Rx5YP83A7jjSEiB6bSdXanRT9awUhfwDL3hgALN7BxAPmzjepfO4PhBwn3l+sz1UdM3IqIhIJCk4iIhH2/I7nyanMIcmVxM0Tb+6QZ5hBqKufomfP8GONj9wUPVfRIYb981lsoSAfpY1l88xrmGoYWEwfAz0rAciOmROx+hrYTIM+fjt9/HaGHNUJ3WMNkhdTx+extXweW0uNPcjWxGq2JlYT57My5XAck8rcRDUznc9h24fbtYTqunl4A+OwGLVEOz865rzOMoAq8okjJxTNWUcdjx6Zjmd7HsFKDzWfZBM7bDYAIWcaPvc4HNWf4ix9j9rUayNSt4hIJKirnohIBBV5injqk6cAuGPKHcQ6YjvkOb5cO6bHguEI4RwSuSl6tqoqhj+7EFtdLTsTB/HQ1GtJi3EB0N+zHmeomhprXw65xkWsxpOJDloZWRnDxQf68v2d6Vy3N5VJh924ghYqHUGWp5XxxMj9LOl/mAp74JjrnbY9xDiXAVDrn0atL3Ib/KYTToTZQXeT44bFQuy04QDUbMslUHakBbk38XwAnOWrMQKnPoInItLdKTiJiETQ7zf+Hk/Aw/h+47l0yKUd8oyQx8CXE2457Rzhw4jQXAOL18vw5xbiLC+jJrEvvzj9WwSsdlKc4dqyat4HICfmHCI6j7AFDAwyPC7mHezL93ekc0l+X1JqHQQsJpuSqvjz8HCAqrQ1DVAu+2dEOz4EwOObRZ1/dCTKJ90MN9HIDsYc854zox+OtEQImVQvXdp4PBA9koArE8P04Tr8TqfVKiISad3jJ5OISA+0uWgzb+x7AwODn077KZYOCAumCXU7nRAysCYGsCUfOwLSKYJBhvznBWIOHsAfE8M7l3+LSmcMyS47NouBNeRlYE04SOS4z41MjW1kMy2ML3dzw+dpfH1fCpnVLkIW2JRUxZMjDvBBchk+48gUSZd9Ay77BgBqvOfjCwzp9JoHcPzgZBgGsdNGAFC3bRu+/PyGN6jtFw75zrIVGnUSkV5DwUlEJAKCoSC/WfcbAK4YdgVj+o7pkOcEDtkIltrAYuIa6Y3M1jumyaDXXyVh906Cdjt7vvFNdtr7ApDmCo82Daj9GIfpodqaTJGzY74XncXAYFBNFNdmp/L1falk1DgJWExWpVTw1IgDfBZfjYmJYUC040Octs8AC1V18/AH0ju11gH1U/XKTQdlIfsx79uTYoka1h+AqnfewTTDXQADMWMJuLLqR53e7ryCRUQiSM0hREQiYPGexews3UmsI5bbJ9/eIc8IeQ28u8PBxJHpwxIdmX2D0j5YTvKGjzENg31XXkNNegYHd4cTXP/64JRZHV7zk+PuOtP06vxtX2eVUg5fLTfZk1DABwO2U+ms5X8DS/ikwuC8/PHE+6OJcb5HyHThDw6lqu5S4qJewmYtavsHOAUugvQ1PZQY0eQEY+hjKT/mHPfkodTlFOPPz8e7fTuuMWMaR51i8x/HWbYcb59zCDk6ZsNmEZGuomv8dBIR6UXK68p5YvMTANwy8RYSXYkd8pyaj6IwfRaM6BCOTP/JL+gASZs3kf5eeB1M7sXzKR81GtOEAk/4/bQoR3ianifcWa4rdNNrbwYGw8v7883t5zDj4AisIQs58cUsGrWCTf32gREi1vUWNms+Jk4qay8nGErotPrSTzBdD8Aa4yL6zDMBqFq6FDMQnu4ZiBmDP3okhhkgqmhx5xQrIhJBCk4iIp3sj1v+SIW3gmF9hnHViKs65Bn+Qiu1n4S71blGdt6eTdklNY1fno1byXzlvwDsnHImHw8ZT3ZJDZ8U1uIJGFgxSXU5SPeswW7WUmVLo8Q5qnMKjQCbaeWMwuFct2MW6VVJBKxBlmds44WsQ1TZvcS6XsNqOYRJNJW1VxAKRXdKXY3BKdR8cAKImTEDi9tNsKwMz8cfhw8aBp6UqzAxcFRtxFazqzPKFRGJGAUnEZFOtLN0J//dHQ4T90y7B5ul/WdMmyGoWuYG08CW6seWGGz3Z5xMQlEhZ775XyyhELkjxrL1rCMjSUV14f2N+jqDWA2DIdXvApAdcy6RWYTVuRK9bq7cM505eeOwBa3kuOv42/CD7IovI871KhajnJAZT2XdZYRMR4fXM8BsaEl+/OBkcTpxnxtu2lG9ciUhT3jIMORKx5dwNgDRhf+EUGRGNkVEOoPWOImIdBLTNHlw3YOEzBAXZl7Iaamndchzarc6CRyyYThDOId1/p5N0ZXlzHz1Bew+H4fSM1l//qVNAlGRNxyckp1BHMFK0j1rANgbO7fTa40UA4OJJZkMrOrLkszNFMaU8/KgYia73Jy1/1N8vmkEQylUeL6Gy74Fwzj5+rRDRtwJ309x7G32eMOIU84JghNA1KRJeNauJVBURPXKlcRdeCEAtf0uw161CauvANfht6jrN/+ktYqIdEcacRIR6SRvZr/JpqJNRNmi+OHUH3bIM4LVBjWrwlO8YmZ4sDg7tyGEo66Wma++QJSnmvK+yay+5EpCtqa/ozvUEJxcQTJrVmDFT6ljCOWOwZ1aa1eQ6HXztV0zOK1wKACbUrJ5acQyzKiPgQAhMwlvYAxmB/7P2NCS/GAoijrz+H8tMCwWYi+4AADPxx8TKC0FwLS58aReA4CrZAnWuryOK1ZEJIIUnEREOkGNv4ZHNzwKwE3jbiI1JrVDnlP9QQymz4ItJUDUeG+HPON4DL+fGa//h/jSEjzuOD6cfw1+p6vJOd4gVPiPjDg1TNPb6+49o01fZMXC2QdHceneqTiCNg66y3huzGtUxa4CQgRDqfiCwzrs+fH4iDd8mBjknmTUyTlsGI4hQyAYpPq99xqP+2On4IudjEGQmAN/g1Bdh9UrIhIpCk4iIp3gL1v/QnFtMRmxGVw/5voOeYYv1453lxMMk9jzqju3q3coxOCX/kO/A3n4HE5WXnYNtbHHTh0r8oZHn+JsQVIoIbVuCyYG+9zndWKxXdOwijS+vnMmfWtj8dh9vDDmVQ4kLgcgEByEPzCwQ55rAFnWGuDE65waxF5wARjGMZvielK/TsiWgNVXSHTBc3ToMJmISAQoOImIdLB9Fft4bttzAPz4tB/jsLb/gn8zAFXLwn/pjZpYhz2lExtCmCYZS94gcdunBK1WPrrkKir7Jjd7amF9Y4gUV5BxtevDx1yT8NiaP7+36eN1c83Osxh9OB3TMHl9xGvs7RsOT77gcALBlA55bmYLgpM9NZWoSZOAppvimrZYqgd8GxMLzsqPcZYt65BaRUQiRcFJRKQDNTSECJgBZqXPYlbGrA55jmd9FMFyK5aYEDFn1nbIM44nZfWHpK4J78P08QXzKc7IPO65BXXhEac0Z4BxdesA2Ou+oMNr7E7spo0LcycyJ28cFtNg6dBX2Ze0FgBvYAzBUPvv+5VlCQennBO0JD+a+5xzMOz2xk1xGwSjh1Gb/GUAog69CDteb/daRUQiRcFJRKQDvZv7LmsL1uKwOPjxtB93yDMCZRZqPo4CwD27plMbQiR++gkDl7wJQP6F88gfMfa453qDcNgX/rEz2Z5DcqCAgOEgxz27M0rtVhq67n15zxk4g3beHfZvchO2Ahbq/OMJhmLb9XktmaoHYI2LI3rGDKDpprgA3sTz8SbMwsCExTdC9sp2rVVEJFIUnEREOojH7+Gh9Q8BcOO4G8mIzWj3Z5gmVL0fA0EDxyAfzuGd1348dt9esl76DwCHzjiTwhlnn/D8wjobYBBvDzLNFx5ByY8+E7/F3dGldlsDq/ty9a4ZxPuieGfEIgpiPwdseP0TCZmuk15/qhqCU24wmuAp5u6YGTOwxMY23RQX6tc7XY3PPQECdfDPKxWeRKRHUHASEekgf9n6F4o8RQxwD+CbY7/ZIc/w7nLgz3WA1cR9bk2n7R8bdaiQoS88iyUYpHT0WPLmXXLSzWsP1k/TG+D0M64uvL5pXy/upneqkryxXLPrLFI9cSwZ+TcORx/AxEmdfxKmaW+XZ/S31OIiiA8r+aHoU7rG4nDgPuccoOmmuAAYVmoGfAeGXQCBWvjnV2H7/9qlVhGRSFFwEhHpAPvK9/HstmcBuGfaPbhs7Tc60CDkNaj+IDy1Kub0Wmx9Qu3+jObYKysY/sw/sNXVUTUwk31f/RpYTv7jpKC+McR59k+IDVXgMWLYH31GR5fbI0QHnHx1z3QGVybx5qinqHKUYpox1PknYp5g76VTZTFgiLUagD3BU58GGDVpEraUFMzaWqpXfmFUyWKHK5+D4ReFR55evB4+ekLd9kSk21JwEhFpZ6Zp8puPf0PADDA7fXaHNYSo+SiKUI0Fa58g0VM7pyGEtdbD8Gf+gaOygtq+/djz9esw7ccf9YitySO2Jo9QZQEVfisGJvN87wCw0zaapLKt9CvdeNKv2JrcTvl8XZnNtDIvZxLjD6fw5ugnqbPVEDLjqQuMwzTbPtQ41BreCHdP4NSnTh5vU9xGdhdc9TxMvQEwYenP4b8LoK6yzfWKiHQ2BScRkXb2bu67rCtYh8Pi4O5pd3fIM/yFVmq3hEexYudUY9g65DFNWHw+hj23iOhDhfjcsey+/lsEo0+tmUCOLzyKMdpeyLDgbgA+s0/osFp7KgODGQUjOa0olbdH/BW/xUco1I/a4Ig2D+QMt4VHnD4PtmzNmXPoUBxDhx6zKW4jqw2+9Ahc9H/hUajtr8JTM2DfirYVLCLSyRScRETaUac0hAhB1TI3YOAc6cUxMHDSa9rKCAYZ8u/nic3LJeCKYveCG/D1OfW22DnecHC6xrYCKyEKLP0psWrvptYaf3gQZxQls3zos4QIYQbTORRq2x5PQ60NwanlHfuabIqbl3fsCYYBp38bvrkE4gdCeR48Ox9e/75Gn0Sk21BwEhFpR0998hRFniLS3ekd1hCidouLwCEbhjOEe1ZNhzyjiVCIrMUvkrB7F0G7nT3fWEBtatopX+43Dfb7YwCT81kDaLSpPQypTOGM4njWDloMgMc/iAPEtfp+DVP18kPReExri661p6Q0uynuMTJOg5tXw2k3hV9vXAR/ng7bXtXaJxHp8jphcoeISO+wq3QXz26vbwhxesc0hAhWWqj5KNz1zD3TgzWmg/+yaZoMfOt1krZuIWSxsPdrX6d6UGaLbpHncxPEwtnWbSSbJfixs8s+umPq7WXSPH1wBavZmraU8QXnU1c3nBz3ZjIDwRbfK9Hip6/hpcR0sjfoZpytokXXu889l7rPPsO/fz9127YRNfY4e3p9+hKkjIHpt8In/4bK/fDf6yFxCIy5HOLTW1b41I75BYWIyBdpxElEpB0EQ0F+ufqXBM0g5w86n7PTT7ynUWuYJlS9F4PpN7AP8OMa5233Z3xR/+XLSFm7GoDsL19JxYiRLb7HXm94FOQ6e3j9yy7bKHyGs/2K7OX6eN2Mr/CRm7gRAwu+mvHscLWuWUhrGkQ0sMbGEtOwKe677xLynWRPsaShMOtuGDY3vPapdC98+AhseQE8pSe+VkQkAhScRETawb93/ZvPDn9GrD2We6bd0yHP8O5y4MsJ79kUe351h+/ZlLx2NQPeXwpA7pcupXTCpBbfI2Aa7PPF4cbD2WwCNE2vI8QEnUyvraM4djc20w5V09gQV9zi+wyzNbQkb92mxDEzZmBJSCBUUUHNqlUnv8DqgBEXwTk/hf6TARP2fwwrfg2fLdb6JxHpUjRVT0Skhf67+79NXld4K3hyy5MAnJ1xNiv2r2j3Z4ZqDaqWH7VnU+Kxezb1eXvDMceMshZOe6oXl7OH9DXh0FQ0dirVcelEb2vaEtwzZtBJ75Pvi8FnWrnGtgoHfg5bkjhobV1NcmIu085kXxk7XAdx1/XHXz6D95OXcE7JYAxOLWUft0FE7kendL0BxE0eRPn75dSs+hDfW7/HkZxw8guj+sDk6yBrJux8Ew5/DjkfQv46yJwJQ84Fx6l1cBQR6SgacRIRaQPTNFmSvQRfyEdGbAaTkyd3yHOqV0Zj1lqwJgWIPq1j92xyH8wjfe0yDODwsHEUjz2t1ff63BsPmFxrWwbAZ/aJdPhQWS9mNwxGmwfx2stw+xKIOzybV/pvIcipbY48vGGqXtDd6l4NzkHJONISIRii6F8rWnZxnyw44xY4/XuQMBCCPti7DN5/AHa/E95IV0QkQhScRETaYGfpTnaX7cZiWLh48MUYHRAKfHk26ra5AJO482swWtbwrEWiigvIWPU2hhmifNAwCqec1eqgEwjBXl8cU4zdDCOfADa22ca1c8XyRTYjxDBLLkGLh8TaNFKKz+O5zI/wGidvGJFlrcFKiArTQbHZunVohmEQe8YIMAyq1u+m5rOclt4A+o2AGT+AqTdCbP9wYNq9JBygPl8KfgUoEel8mqonItJKdYE6lmQvAWBG/xn0i+7X7s8w/VC1NLzeJGqCF3v/jtuzyXX4EIM+eBNLMEBV2kAOnn5um0aH9tfa8JlWbrKHv0c77GOos0S3V7lyAjbDxyDbXvL9I0irGkLdofP57aAX+UH+cOKC9uNe5zRCDLR4yA65+TzgJtnRugYk9j6xRI/KwLM9j8LnljH41wswbC1M/IYBqWMhZTQc3BIOTjXF4al8e98PT+HLmtWq+o5rw8L2u5e6/Yn0OBpxEhFppWV5y6j2V5PkSmJm+swOeUbN2miCFVYs7iAxZ3k65BkArrISMpe/gdXvoya5P/lnzcW0tm1o6/NqO2kc5nxreO3VZnvrp/xJyzkstfS37wWCZJWNJ/PgZTyQuY1DjhOP1hxpENHyjXCP5p40BGtsFL4Dhyl7b3Prb2RYYMBkmPUTmPh1cCeDvxb2vAvL7oN3/x9UFbapVhGRU6HgJCLSCnmVeWw8tBGALw3+EjZL+w/g+4useDaE94KKnVODxdkxezY5yw8z6P3XsPq9ePqmknf2lzBtxx+VOBV1QYP9tTa+YVuKlRD51oGUWJPbqWI5VVGWKlLse4EQw0umMupAODztc1Uf95qhR61zaguL006/r4Z/oVD88kcEKtsY/C1WSJ8aDlCTF0DcgPAaqNV/gN+PhVe+CwVb2/YMEZETiHhw+vOf/0xWVhYul4spU6bw4YcfHvfcFStWYBjGMV87d+7sxIpFpLfzBX387/P/ATCx30Qy4zPb/RlmqH6KnmngHObFOcTf7s8AcFSWMWj5a9h8ddQm9iN31pcI2dsWmgD21dhx4Ocaa7gpxCaNNkVMjLWcZPs+IMSooulMyL+UBzO384m7rNnzGzrrtTU4ASTMHo9zUDIhj5fi/65s8/2A8AhU/4kw8y447SbIOB1CfvjkX/CXmbDwS/DZyxDo+H3ORKR3iWhw+s9//sMdd9zBz372MzZv3szMmTO56KKLyMvLO+F1u3btoqCgoPFr2LBhnVSxiAgsy11GmbeMOEccF2Re0CHP8KyPInDIhuEM4T6npkOeYa+qIPP917DX1VKb0Jfc2ZcQcrR9Y1rThF1Vdi6zfkSCUUOFEc8+m/47HUluaylDXesAk7GHzmZq/nwey9jFsj6FmDQdyRxeH5yyg278ZtuanRgWC6nXnwdA+Yqt1H5+sE33a3pzA1LGwA3vwo3LYOxXwGKD3FXw0jfh0VHwzs+geFf7PVNEerWINod49NFHueGGG7jxxhsBeOyxx3jnnXd48sknefDBB497XXJyMgkJCZ1UpYjIEWsOrmH9ofUAXDrkUlw2V7s/w19spWZNFADuc2qwutt/ip69upLM9/+HvbaGuvhEcs+5hKCzfT5LkddKud/CNx1vA7DFMRXTaP73dLuDh07pnommNkJtq36OHEJY2Vc3jfEFszFMg2czXyYnqoaf+0bjJLymrb+llljDT5VpZ2/QzUhbVZueGz08nfizxlCxahsF/3iHrPuva3mjiJNJnwpf+TtU3A8bF8Lm56GqANb8MfyVMg7GXg5jroDErPZ9toj0GhEbcfL5fGzcuJELLmj629oLLriA1atXn/DaSZMmkZaWxpw5c1i+fPkJz/V6vVRWVjb5EhFpjUpfJT//6OcATE2ZyuCEwe3+DDMIVUvcEDJwDPHhGuVr92c4qirIXPYqDk813tgEcs+5lKArqt3uv6vKznTLdkZa8vFj5zP7+Ha7t7RNimMvg+tHnsYVzmJm9ldZmVDCbYmbOGQJN40wDBhlDf+s3B6Ia5fnJl9zDlZ3FN68Yg4vOXaj5nYTPwDO/X9wx2dw9X9gxLzwKNShT2HZ/fDERPjrOeF1UeX5HVeHiPRIEQtOJSUlBINBUlJSmhxPSUmhsLD57jhpaWn89a9/ZfHixbz88suMGDGCOXPmsHLl8edNP/jgg8THxzd+ZWRktOvnEJHe43cf/45DnkMkuhI5b9B5HfKMmrVRBEpsGK4QcedVt/tesY7KMjKXvRIOTXEJ5Jw7n0BU+7UI9wYhx2PnZmt4Ddg2+zi8RvuFMmm7FMc+htSHpzGHzuLcvVex01bNTUnr2WwPr3saZQsHpx3B9glOtrhokq85B4CSVz7Cd6j59VXtxmqDERfC1f+Cu/bAJY+HW5cbFji4KdyJ77Gx8Lc58NETUJbTsfWISI8Q8X2cvrhZpGmax91AcsSIEYwYMaLx9fTp08nPz+fhhx/m7LPPbvaae+65hzvvvLPxdWVlpcKTiLTY+3nv89re17AYFuYPnY/D6mj3Z/gLbHg+DoeM2PNqsMS07xQ9Z/lhMt9/DZu3lrr4RHLOuZRgO4YmgL01DsbzOTOtnxHEwgbHGe16f2kfyY5sDEw+rzud4cXTiQtG89qwZ7izzxa+Vz2Ekd5wB8Qd7TTiBBA/cwwVqz4L7+20cCkZP/5qh2wYfYzoRJiyIPxVXQTb/wfbXoXcj+DAhvDX0p9D2kSIT4e0CRDT/nuyiUj3F7ERp759+2K1Wo8ZXSoqKjpmFOpEzjjjDPbs2XPc951OJ3FxcU2+RERaorSulPvW3AfA9WOuJyO2/X/5EvJB5ZL6LnojvLiGt+8UPVdpMZnL/ofNW0ttn77kzJnf7qGpoSnErbZXAdgadQaVloR2fYa0n36OHIZFrcEgRGrpBK7dfjNGyMYfYz/n3X7LwVrDnnZoENHA+P/t3Xd8XNWd8P/PLdNnNJJG3bJkuXdwA9t0DCa0QJInIVkWUnaTEBI2weHZwGZ3s5snCbub5BfCbiAQIG1TgZDQQjAEY5oBG9u4W67qbaTp9d57fn+MLFtWt2VLss+b1+XO3LnljK7vzHzvOed7FIXyz6xGsWnEtx8i8ubOUdnviHhL4LzPwqefg6/ugWu/DzUX52qimrfA7mfhlW/D+u/BodchO/iYV5IknV3GrMbJbrezZMkS1q5dy4c+9KGe5WvXruWGG24Y9n42b95MeXn5qSiiJEkSQgi+teFbdKY6mZ4/nS+d+yX+tP9Po36c2CsezJCG6jPxrRrdLHquYCvVrzybG6cpUMLhS6/Dso9+Uou6GEwy6lnl2IyFwuueqyAtU0KPZ0W2OjQlS23yQjzR6Xx221f5+bz72ehqxVvzQ5JNN3HA9DLrJBNEHGEvK6ToxpW0P/4arf/7VzwLp6L7TrIp58afnvi2ipZLGDF9NbRsywVPwVqINMD2J2DX01CxGGouyo0bJUnSWW1M05GvWbOGRx55hMcee4xdu3Zx5513UldXx2233QbkmtndeuutPevfd999/PGPf6S2tpYdO3Zwzz338OSTT/KlL31prN6CJElnuD/t/xNrD69FV3S+c+F3TkkTvdRuO6kdTlAEeVfHUJ2j10TP09LQM7htvKiMw5d98JQETQAbOxS+pD8FwHbnUjr14bcekMZOgd7M5eVvYlMziGQ5n3v/a8yMV6DYIriqHuEB3x5SmKN2vMC15+GoLMKMJmn7zbpR2+9JcXihegUs/wJc+U2Ye2OudsrMQP0GWP9dePdRCDeMdUklSRpDY9rH6aabbiIYDPLNb36T5uZm5s+fz/PPP091dTUAzc3NvcZ0ymQy3HXXXTQ2NuJyuZg3bx7PPfcc11xzzVi9BUmSzmAHwwf5ztvfAeD2c29nTmDOqB/DDKtEX/YA4D4vib3SGLV9u2obKX91M6plESuZRP3F14zK4Lb9SRiQ6WrkansuVfvrnqtPyXGkU6PY2cWVFa+zrnkFiUw+V+/4Mq7q59haup7Nebv5tPswd0fmcE42/6SPpegaZX93FYe/+SvC67fhv3AunrnVJ/8mRovdC1MvzSWT6DwAh16D5q25zHyt26B0Psy5HrzyxoAknW0UIcToDxAyjkUiEfx+P+FwWPZ3kiRpQBkzw98+/7fs6tzF+WXn89CVD6GpubFnHt/7+KgcQ5gQejyPbJMNvTxLwU0RBhjuaFgKXjia5tmz9QD5b2wHIDx5Go0rrkBoozt2TmLe0R+7G1oVrmp5gBu0N9npWMTjBZ8HwBcffEDz4SqsC4/Kfs5kpcrg32ml9v0DvlZTlOvvljCcvNpyPl2ZfFBMni6oo2Xqo1i2XFO9a5Ll3BadRr4YXs1rweXnDvha809fJPTyFmyl+Uz99qdQnaNfmztqoi1QuzaXkQ+Ra+I37XKYcSUMVAu99NOntYiSJJ2YkcQGY55VT5IkaTz6waYfsKtzFwWOAr5z0Xd6gqbRFHvdTbbJhmK38F8TO6mgqYcQ5G3YhW/zPgCCMxfQsvhCRj2vee9DEmxv5Dr1LQDWe2UrgInKrae4ouIN3mhdQlOyjA921vBW4uuUz/xvXvA08ryrmdcc7XwuNo1rk+XoJ9Hiv+SmS4i9t49sa4i236+n7NZTk+J/VPjKYPEtMHN1Litf207YtxYaN8H8j0DpvFNehK7f/f6UH+NYBTd97LQd60x+b9KZZUz7OEmSJI1HLx9+mf/d9b8AfOvCb1HiLhn1Y6T22kluynWKz7sqjua3Tn6npkXBy5t7gqbw8jmnPGiCXFKIz5m/RVMEOxzn0mqTQz5MZDbV4OKyd5iZl6uhWpFyMXfv33F/+3KmZb1EVYPv5+3hU4F3eN3RjuDEGq5obgfln8s16ex68T3iOw6P2ns4ZbylsOyzsOQz4MyHZCe8+xPY9niuP5QkSWc0GThJkiQd43DkMP/8xj8DcOvcW7m4sv8x4k6G0aUSfbG7X9PSJI4ZJ/+DS4smCDy3AffeBoSi0HX5ucQWzzjlQRNAunUXq7TNGGj81fehoTeQxj1VESwt2k6dr50sgkQqQN2h6/lu8+V8OTIDv2WjTk/wT/nb+GLBe7xjD55QAOVdUEP+qnMBaHr4z5iJCZCFUVGgfCFcek+uHxTkxoR6/Qe5Jn2SJJ2xZOAkSZLULWWkWLNuDbFsjMUli/nKkq+M+jFEFsJP+xAZFdukLJ4LEye9T0ddG1O/+jDOhg4sXSN4zXkkZleNQmmHlsxafDzxawC2+C6TmfTOMJW+Bn7tTZNWDWKGl5eaLmV+yyX8un0Ffxuvxi5UttvD3FWwlc8XbuRVRxvmCAOo0k9ciq0kHyMYofWXL5+id3IK6A6Y9yE47/O5hBLRZnjt+1D/9liXTJKkU0QGTpIkSeTGa/r2299mb9deCp2FfPeS72JTRzcDnRAQ+YsXM6ijeizyro2edL8m34ZdTP2/D+No6cTwuWn/8IWkq09f8GJr2sB89RBxnOyrkLVNZ5qFepg2XfA7X4JJ7mYsobEpuIBNLRdwa3gOv+1Ywcfik3EIld22KP+Sv51PFL3Fb9x1hJXssI6hOu1UfP4aUCD82nYiG3ad4nc1ykrmwMX/CEUzwcrC1t/k+kFZo5fCXZKk8UEmh5Ak6awyUCfkPxjv8kfjBVQU/sW8Btsz6+gaYB8FrZuGf7wPLO15HH/LRXqvA1RB3nVRNO9JJDW1LIp//yqlv34FgNiCGqJLZ2K5HCe+zxHybN/HSvF7UGCdtQp9bxdlsd5NrRwZmQ3vdGkVkUFfD1sDNyPrjPf/7yYrmrGxhFbFRsT9V0q0ybRHV9KUKOP5hstYGnifL1kObo5X84S7nqfdTbRoKR707eMR734urW/hxvx5rPROQR/kLoF7ViWBD64g+Ke3aH70LzinVWAv9g/vjY8Hzjw4/zbY+xeo/QsceAV+ezN85Cfg8I116SRJGiWyxkmSpLPeZvMQ/228CMDn9MtZotWM+jFSu+0kNuRSPvuujGOfdOLjNanJNJP/8/c9QVPwuvM59O+3ntagCaDQ2ki5EqRFFBBRlw69gTTh2BSLqUo7ALWUUeDeTlXhk9i1ICnTyett5/FayzKcWR+fjU/jifaVfC08mxlZL1lFsDZSyxfr/sjlex7i35rW8mbsEBmr/3/7xR++ANeMCqxkhqYHnkGYo5Aw5XRSVJh1NSy6BVQd9v4ZHvuAHDRXks4gssZJkqSzWosI8a/ZJzGxuEKdzye0FaN+jGyzTuQvXiCXDMI178Q7wDsPtjD5v36PozHXn6npC9cTunLxaBU1J9Y+5CouJcpy10sA/CHzAUqMEACOzOgN4CuNDzPVFvaY5eyxSrlE24PTFqQ68DiOzGXsCM2gPlFBS0MR5xTsYnreYa5NVXBtqoJaPcorMwyeC++my0zyZNc2nuzahkvRWeKpZIWnmpXeaqY5AiiKgqKpVNx+PQf/6acka5tof/J1Sj42+slZTrlJS8AdgC2/htbt8OhVcMtTUDxzrEsmSdJJkoGTJElnrYRI80+Z3xMmwUyljK/ZrkMZ5Sx0RpdK6E8+MBXsUzMnngxCCApe2Ej5I39GzRpkC33U3X0TydOUBOJ48+3rcSlpNlkzyBjVQHJMyiGderPUFp4xYa9VhhC5pHKqYrGwcDeTPU283b6Izkw+G4PnsC86hSWB7ZS6Ophh+Div/Fy+WnYJG+MNvBjZyyvR/XQYcV6PHeL12CFohRLdw3meKha6ylngLaPi01fS+sBzBJ/egGtGBb5F08f6TzByBVPgsy/DLz8MwVp47Cr42ydyQZUkSROWDJwkSTorGcLi37J/YJ9opQAP37Z/DIcyuskgjKyd0B/yEAkVvdgg75oTSwahhWJM+tHT5L29G4DI0pk0fuVDmHmeUS3vcJVrB6jW95EVGj/MfIIPIvsxnclqlHY0TEJ4aMdHCVEANsUbgUaK8nejJ+fRETuPUMbPy80X4HUcoMj7DonO93v2M8dZwmxHMW1GnAPpIAcynRxOd9FmxHk2vItnw7mkEJpf4QvLHFz8bpr9P/oTb9+5EG9pgJuLRrlm9VTLr4LP/AV+9X+g6T342fXw8V/BtMvGumTsaxq6Wa/7tcaTPs68iyad9D4kaTyRgZMkSWcdIQT/bfyFDdY+HOjca7+JUmV0O6Kbpk593VKstIbmN8n/cATVPvL9+DbsYtKPnkYPx7F0jdZbriB4wwpQx6aLqkaWc+3rAHjUvIZS6wTelDShOBSTGqWDfaKUPVYZJVq01+uKIihwbyfPWZsLnpLziKWnEkvX4HinCc+cPei+ePe6CqU2L6U2LyuoxhAmdZkwdZkumrIRGjMRkiLLg5cZlDXCzCaTyY9t5p9v0fhl53tMcwSY7ixiuiPANEeAqY5CnKOc/XJUeQLwyafhd38LB9bBrz8G/+cxmHP9WJdMkqQTIAMnSZLOOo+b7/CUuREF+LrtRuaqo3tX1LJUGusWk0n7UD0W+R+JoHpGlkFPC8Uof+TP5K/fBkCqupSGNR8hVVM2qmUdqbm2DXjUKA2iiIeyH+QusXNMyyOdHrPVZvaZpey0KrhIq+13HU1NU5r3Gvnu7XTElhFLTyfdMIl0QwWOimbcMw5gC/TOVakrGlMdhUx1FAK5mxohM0ljNsIrNwep+FEDNa2CLzxvcf8HwzRmI6yPHey1jwLNRUB3U6R7jpncuE/kTkW3jxYuPOFt+3D44G9+D3/4bC5N+e8/CR/6MSz82OgdQ5Kk00IGTpIknVXWmtv4n+4Merfpq7hUmzOq+7csjca6RSSTBahqlvwPx9HyR5AdTAjy/7qFssdeQI8mEapCx40X0Hbz5Qjb2H5k+9V2Ztg2A/DP2U8zR8RwMMEyn0knZJ7ayLPmuey0KrCEgqoMfCPAoXcxKf9FUtlNNDsuIdNcRrqpgnRTBXphJ+7pB3GUt6Boff/tKIpCge6mQHfD5DLaP1OG54GNXLhTUFxZzpuX+Wk34rQbMdqycZIiS5eZpMtMsi8d7LUvl2LrCaKODaj8mgt1lPsyDkl3wEceA9sdsPXX8IfPQTYBSz51esshSdJJkYGTJElnjTca3+A72acB+Ih2Hh8f5Qx6lqnRUL+YZKIQVTWorHqPVPHwO7Y79zdT/vBzeHbVAZCsKaPxSzeQmjH2/QRUDM5z/AVVETxvnsc6axFrxPtDbyidEWqUdlxkiOPksAhQo3QMuY3TFiR/xbsYYR+JfVNJ1U/C6Cwk8k4hij2Ds6oe15Q69LzYgPuIzwzQ9NG5TPrdDma92ICrIkBk8WwgVzuVsLJ0GPHcZMbpMBJ0GHHCZoqkyFKfDVGfDfXap4Z6TA3V0aAqoLuxKdpJ/Z0Gpelww4/A7oZ3H4FnvgyZBKy4/dQdU5KkUSUDJ0mSzgrvt7/Pnevu7E47Po879NWjmkHPNDUa65b01DRVVm3C5Q6TGsa2eleUkt+8QsFfNqEIgeWw0fbxS+m4YSXop/CH3AjMt7+JXw0SEV7+JftpqkWUCplJ76yhK4LZajObrWp2WJOoUYcOnHq29UfJW7IVz7zdJA9MIXVoMlbKRXLfNJL7pqH7wzgmNeGobEL39s062XXBZBytMYrWHabyV9s4WOAiWZOPoih4NDsezU61o6DXNllhEuwOonJT7nHQSGBi0WbEaDP6Bmx+zUmx7qE5G2Gms5hZzmKq7PloJ5LVpT+qCtd8D+weeOOH8Jd7IBOHi+/KpSuUJGlck4GTJElnvJ3Bndz20m0kjSTL1KncY7thVJvqGIadxrrFpFL+XNBUvRGXKzLkdmoiRdFTb1D0xzdR01kAQhctoOXTqzGKRjdZxckoUeuY2d1E7+uZvyOInyvF/jEulXS6zVcbuwOnCq5j64i315xpvHP34Jm9l0xrManDVaSbSzHCfoywn/jOOWh5ERxlrdjL2rAVdqGouSaBLTfOxt6eIG9HO9UPbeLgl88jXe4b8Fg2RaPM5qPM1nsdSwjCZpJ2I0GwJ6jKBVZJkSVspgibqV7N/lyKzgxnETOdxcx2ljCrO6BynWhSCkWBK/4d7F545dvwyrcgE4Mr/k0GT5I0zsnASZKkM9qezj18bu3niGaiLCpZxP8Lrx7V5jiZtJuGuiVks25ULcPkqo04XdFBt1ETKQLPvk3gT2+hR3N32BMzJ9HyqatIzJ8yamUbDTZSLHWsBWBjdgnPiPNxCYNzRHCILaUzzXy1AYD9ooSYcOBVTmwgZ0UVOMrbcJS3YWVspJvKSDdUkGkvwozkkYjkkdg7A8WWxRYIYi8OYisKUv/Jc6j50bu4D4eZ8sBGDnzlfLIB94iOrR7bh4qiXq8lrAztRpy2bAy3Zmdvqp3aVAdJYfB+soX3ky0962oozHAWMd9VxgJXGfNdZUxzBIZfM6UocMk/gs0NL34d3rgv1+fpA/85ZhkzJUkamgycJEk6Y+3r2sfn1n6OcDrMwqKFPLDqAbJPPT9q+08m8mmsX4Rp2rHZElRWbcLuGHiAWz0YofDP7xJ47m20eK4RX3pSgNZbriCyYu44vNssWOz4K241RtTK5zvG34ACS0U7NkaWJVCa+AJKnMlKkHoRYKs1mQu0ff2uF0rM7XmcPFjQ7zrHc0xqxl7ahhHxYUTyMCM+RNZGpqWMTEt3JknVpGPuFRT7tlHQXkvxQ80cuv58TO/IgqeBKEBJ97TEUwmApVh4pjWwN9XOnlQ7u1Nt7E6102HE2Z1qZ3eqnSe6cpkvXaqNec5SFrjKWOAuY3EySMAVGPygK7+Ua7b37J3wzsO5Znsf/G9Qx0cTXUmSepOBkyRJZ6RdwV18bu3nCKVDzCmcw4NXPojX7qVr6E2HJRwqp7V5HkJoOJ1hJlW9h65n+q4oBK499QSeeRv/mztQzFwmsVRlEe03XUr4wvmgjc87zFP195ms12IJhZfT17GZ3A/Y5aJtjEsmjZVFah31ZoDNVvWAgdOJUnQTW2EIW2EIIcBKujCjXoyYBzPmBUvDTPpoKVpJS9FKANTdGVRPCsWTQXWmUR1pVGcaxZ4ZlfsQqqL2pEv/gH8WkEtK0WrE2J5s4f1EM9uTLexItZKwsmxMNLAx0QBBoP5ZpuRNYUnpkp6pwlvR9yBLP52refrjF2DLr3I1Tx96GHQ5RpokjTcycJIk6YyzpW0Lt790O9FslHmBeTx05UPk2fNGZd+mCS3Ncwl3TQbA422jovJ9VNXsvaJh4trfRMGLG3Hva+pZHJ9bRfD6FUSWzxm3ARNAQG3iXPt6ALZnLuBpcS5CVZgmIpQOK+WFNJF0xIfX7K6GWtAXscOqIC10HIpxSsqjKKC5k2juJPbS9lwglXZgJVyYCTciYsdKOLE0B1bKTp9/koqF6sigOlIo9gyqPdtrrmjmCQdWiqL09J+6Im8GAKawOJjuZFuyhfeTzWxNNFOb7uBQ5BCHIod4svZJAPL0Yia75zPZPY9q90IKbBXdSWpW8Dcf/Rk88RnY8RRkk/DRn4PNecJ/Q0mSRp8MnCSp247XGk/LceZdNPappc9kG5o38A9//QeSRpLFJYv5n1X/g88+cCfykYinVF7b7iMcLQIEgeL9BIr2H/0BJgT2piDuPQ24DjShZnI/Ki2bTvjiBQSvW05qWvmolOVUcihxljueR1Us6o0ZbDOW8pZaAsBFVssQW0vjVSq74KT3kQ8UqEm6VBcbkss5h86T3udwKEouuYTmTGMrDAFgC0Wpfu5t0gSIFFTRNm0BhuXFSjtAqFgpJ1ZqgMBDsXKBlM1A0bMoNgNFN1BsBqqe5Z1EMBdcaSY7ggdHFGTNdZYy11nK7o4QbSJKmxWhVUTpFDEiRjs7Iq+wI/IKAB4clKt+VulzCNXMJX/pZ2DjY7D3BXjoIlj6d7kxoJZ+utcxLAGmqWBYublpKZgWubl59PERovt/RxrYBiM6qirQVFAVgaqCpgpUBTQtN5ckqS8ZOEmSdMZ49sCz/Msb/4JhGZxffj73X3Y/btvJ938QAg62ONhU6yFrqqhahopJ7+PxBkEI9I4I7tpGXHsb0ONHb30bXhfBG1fSedVSTL/npMtxOijCZIXjeVxqnLBVyMb0FWxSikkqOgGRYu6oNXaUJiIFmGsGeUOtZLMa4Bzr9ARO/cnm+6i7fjmznniGsj3vUlP3HLUfvIpYeSkiY8NKO3O1VBkbImPvmQvDBkJFpJ2Yw6hoi22blwusbFlUWxbFnkXRDBTdRFHN3FwzQTNRNAtFsUABTyJNjSKoQYAiMIVFTGSIWRniVoaEMFCEiio0NguN7XtaKFJKKRX/j8JIFE+nhrVfJ+sqxXhmA5lQAYapYFgKlnVqIxtds3C0HsLh0rG7dRwuHYc7N7n9DpwefVSHc5CkiUIGTpIkTXi/3/N73mx6k5frXgZgbmAuq6pW8dzB5/qsW9C6aUT7NrJ2WprnEY/laq2crhAVFVvwBJtwbm3BdagFPRzvWd+y6ySnVZCYWUmmIkDX1ctO4p2dZkJwDs9TpDWRFXbeSl1HFjuvKbm+TReKFsZv40LpdFlotvOGrZJd5BNHx8Opaa43HJk8L7tuuoGZf3wBT1sHs594lgNXX07XjBpURxbom+FSWAoia8sFUlkbwtBzzw29+3H33NBBqEBufZG1YY2gbI5+lrnJJZ8YSqh7AsgNl5YA+k8Yoani6KQd+zz3utLzP8GRUCeRVrFErmbK6p5MS0F0X+GGqWKE0sRD/UeWKiYePY1HS+G2pfHoGby2NA6bBbqte9KJpEpRbDYUmw3Vbkex2aD7+ZFl2GxYiQRoGoqm5eYyKJPGKRk4SZI0oWXNLM8eeJbNbblxhs4vP5/V1Sc/uK0QEA5V0t42A8u0o2BSpm9m8sGXca1rQUseTQQhVJVUdQmJmZWkqkvHzaC1IzWT15nO2wC8k15NTBSwm3zaFRdOYbBMtI9xCaXxoFQkmCTiNCoetiiFXDDGyUIMj5vdH7ueac+9TP7BOqY/u5am886lccXSflN7K6pAcWRQHf0kczmOsBSck5qxsvZcLVb2SLClIUwNYaoIUwPzyHMNhIIQCvG0mWsbJxRAyc0VCxSBUHPz3GQxSfNTmK/QZHVRZ3aw32gjRBRDzWCoGbJahnLVyXxbFYttk5mjlWLXFTR18GScwrIwu7owg0HMUAgzHMYMhYi3R1BiIZRkHMU62j9ToGDobtIOP2m7n7Qjn7TDT8aemyedARLuUixVJ2q4iRpuOCa2cqQ6yQ/vxx85iD+8n/p4E6oYSbjZfY5sNpTuQKvX/MhjpxPV7e47+XyoXi+KTOkunSIycJIkacIKJoOsWbemJ2haXb2a5RXLT3q/iUQ+bc1zSKdzCSU8qSbmbv8pvtjRJA+Ww0aqupRkTRnpySUI+8T+OJ0strKQvwCwNX0RzeY0AF5Tc7VN54t2nCO63y6dyZaIDhoVDxuV4jEPnAAsm43aD66m6tUNlG7ZTsU7W/A2t7H/mlUYbtcJ71dRBenmsv5f6+4DBdl+X4/Ehg7MjqgnRFK346qpYyYwQ6i0GRqHY500Rg6xw6bRoihsZie/BNymjTnpYuYaJcwyivAIO0o6i709hB6MYAtGsXVG0DujqIbZ53jH39oRqoZwuMDhRnU4cep2PIW+XAIbWwr0IGhhoA7LFCQND3HFS1zxEcdHXM0jofhIOwtpdRbSWpqraddEhvxsGwXpRgLxA+TF61AyaUQ222vC7F3GnuUnQtPQ8vJQ/X607kkvLs5NRUW5Wi9JOkET+5tekqSz1vaO7axZt4bmeDMOzcGHZ3yYGQUzTmqfmS4bXc1TCDEVAD2boObQs0xqeg1VWBh+D6mqEpI1ZWTKA+M6K95IFIv9LOMPANSyklpjMQCNuKlV/ChCcIGQSSGkoxaJDp4Tk6lXvNTjYTLxoTc61VSVustWEqsoYcra9eTVNzH/l09waNVFhKZPGevSjYiiKJTafJQWzMbmq2HeoXfZE2/gVbeL19xe4kqGpmgj3sYGXA2C+Y0qpR0m/VU+CU3F8Hsw8tyYPjem14XduwjhzUe4fQiHO9e07riqK/fSpf2XjVyTQzdQfMxyI2sRDSYJt+emSEcKM2snaK8kaK9kn+98HG6dylkFTJ5bSNW8AL7CXPKOzt/8FkwTYZoIw0BkMrng6dj5kSmbxUqlEIkE1vFTLAammatl6+rqG9IqClphIbH163HOmolzwQJc55yDXlh4YidKOuvIwEmSpAlFCMGvd/+a7238HoZlUOWr4tqp11LsLh564+OZJo7mTqwGkxZrER3++aCoICwqmt9kSv3ziDIXkYvmkZpcMmESPIxEvmhiJb9GxaSe+WzlA+QGoYGX1FwGyHNFkEKGf/dcOvP5MDhHdPKeUsTrSimfEAfGukg9OmdNJ1EUYNpzL+EOdjHjmRcJzppG3WUXYLgmXnrvrO5g62VrWP6L73HB1iZirRbhdhdarxTsuRqb1nxoLtZJF/pwFxZTkF+O4s/j+DR5fvPkMyweT7epFJR5KCjLfU4KS1A+PZ/m/WEadnfRsLuTdMJg/+Z29m/ONfstKHNTNTdAUdhOsd9APcnaIGGaWLFYrklid7NEs6sLo70do70dkUxiBoPEXn6Z2Msv92xnq6rCdc45uM45B/fiRThmz5bN/aR+ycBJkqQJI5QK8c0N32Tt4bUAXFF1Bd+84Ju8cOiF4e1ACPRQDEddG466NqLJMhrKL6KzcG7PKoHwNsq0LahzNYKXXXTG1Cr1J180cjE/w0aadqbwLh/JBY5AMy62Kbm7sKtE02C7kc5SF4oW3qOILUqA60QdvjFMEnG8VKCAnX/zISZteI+yjVsJ7NmP/1ADTcsX03bOXIQ2/vshatEMntog3j1BvPs3EG1LECU/9xqAKsiW+AmVF7C7Et6qTLLFH8JQLHJJMaLYxWFmGkXMy5YwxyjGL05f4KioCoFJXgKTvMy/eBKWJWg7FKFuZyf1O4O0HozQ1ZKgqyUB5OOwWVQEMlQWZSgvzJxQV1FF03qa5x1PCIEVi2G0t2OfNInUrl0kt24lc+AA2bo6snV1RJ55BgCtoAD38vPxrFiBZ+VK7JWVJ/nXkM4UihBCDL3amSMSieD3+wmHw+Tljc6AmNKZQY7jNL691vAa33jzG7Qn29FVnbuW3sXfzP4bFEXh8b2PD7idks7gef8gvk21+N6rxeqCltKlNJdfQNLVXUslBH71EIUVh7D7R7dmpesD/Td3Sb7fX86tk+PecXjY6xaIBi7iZ9hJEWQyr/FJDKX7R1WsnZ+rM9imFLJQBLnV2jfs/cYy4+fHs3TqeLv79P1QnUe94mWV1cjVoqHPeonpBae7aH14WtqYsnY97o5c6vRUfh6NK5bSOXNqv8kjRkvHCPo4AZQ4FLyNLeTVNZJX14inPdjrdUtVSQZKEaVeppduJb8whKHZ2cK1HGYxKAoZJctBZyN73XXUuuqI6ole+yhPFzEzWcXFyvlUm+Wog+TJHKip3mjJZky6WhIEG2N0HAr3GndKVQR5HoMCr0G+x8SmD/5TdXpF7+x/m4bInnrs57IaS+aGk9hTj3t3Pe5ddb2S/wBkygqILp5B9PzZxOdPQdiO1jt8dOZHh3yv0vg2kthA1jhJkjSuRTIRfrDpBzyx9wkAavw13Hvhvcwrmtf/BkJgbwzi27QX73u1eLYfJqt46Ags4HDZJwnNPtoPSlUy+AsayS+sx25Pno63My4Uinou6q5p6qCa17kVQzkayB3GyzalEEUIrrROzw0FaWJaZTXxM20mrytlXCxaxjQ1+UDiZSXsuPnDFO3YS+Wb7+IMRZj2579S+cY7tCxeSHDuTEyH/ZSWISNU6jMemrNuukwHCUvHZmaZ1VnHwo79zGk/yKSOZlSrdwKWRFEhkapJROYvxUzoWN1N2VrEcpbzO4o5xDKeYhI7eU/cCPiYlZzCrOQUBIIWe5C9rjpq3YdpdLTT7Oig2dHBq7yH3/KyMDOLhdlZzDGm4j6NtVEANrtGSZWPkiofcb2RaFKjK6bTFdPJZFVCMRuhmA0Q+FwmBd5cIOWwj+79fsvrIrZoOrFF03MLDBP33gY8Ww/g3bof954G7C1dBJ5/h8Dz72C6HMSWzCBy3iyiS2eOalmk8U/WOElSN1njNL4IIXjx8Iv8xzv/QUeyA4Cb59zMVxZ/Bafe+wv+ifd/hXfbQbybavFtqkVvixLxVdFZOJtgYD5RX3Wv9V3uTvL8TeT5W1DVvhmnRtN4q3EqE3s4n99hI0M7U3idWzCPCZqEgAeSRRxU8lhmtXGTODiiMsgap7PDkRonAdynzqdR8XC51cQ1or7XeuOhxulYaiZD6ebtlG7eji2Z6yRkaRpd06cQnDODyOQKhD4695Q7Yhlasi62JgPsT+fhzKSYEWpgTuchFnTsZ27nYexW7+ul0+2npbIKakpIV5djeLoH8A5M63t9C4tZvM5cXkbDJI2LLVxLPef0m6M8piWoddVT6zrMAXcTaeVorYoqVGrMSczJTmNedhpTjcn4l558htLhSmzc2PNYCEim1Z4gKpHu3WbP7TDJ9xoUeg1cDgtFObkap6GoiTSe7QfxvbMH3zt7sIViR8uqqniWLcN3+WV4L78c++TJw96vNH6MJDaQgZMkdZOB0/hxIHSA7278Lq83vg5AdV41/7r8Xzmv/DwgF1RlDh4ktn49sfWv0bF1D3HnJKK+yYT804nkTcHSjr2DLNDLDBwzMpS2bMRmS/Vz1FNj3AROQjCdtziHP6MgaGUqb/K3mErvO+2bDQ+/ypaiC4u7ra3kjzAphAyczg7eY9Lv7yCfn2qz0IXFP1pbeyUSGW+B0xGKYVC0Yy+lW7bj6gz1LDd1jWhlBdHJFcRLi0kUBzCdI7xWhaArmGXHYRN/R5AZoQamhxooT3T2WTXmcnOgpIrNRTN4vWAODZ5iUBRsisVSX5gL/J3k6Wb/gVO3PNHKMp6ggGYAOqhmC9cSUioGLGJFXgV79UNste9hm20vrVrvZoF2YWOO+xwWuBaxwLWIyfYpqMqpa9Z4bOB0vHRWyQVRUZ1oUoNjcgc6bBYFXoP5UxIU+Y2eHBijGTj1Ylm4ahvJe3s3vnf24KzrnYrfMWsWviuuwHflFThmzZID+U4QMnAahAycpIH0FzhZpkU2Y2FmLYys2T23MLqXWaaFZQmERfc8N1lW7rJSuodsV7rHPzzyIaqoCpqmoGoKqqZ2z/t7rqLpCpqmouoKmp57bTgfxhMxQOtMdfLglgd5fO/jmMJEV3X+fsHf8/cL/h4RztC+/l2C72wnuLuRaNZJwl1GzFNO1t73WlZcFvbKLPapWRxTMqie3DkpeGHgL2iAUNfodgJOzKseeqVRMtAPK0WYnMtzTOMdAA6yhPe4HqH0vrOeFCr/laokis5qq4HVYuQ3E2TgdHY4NnASwI/V2exX/MwTnXzaqu15bbwGTj2EwN3aQdGuWgpqD2CPJ/qskvF6yPg8ZLweDJcTS9exujMXqIaJapjoqRR6IokeT2IPR9Gt/muy43k+wsVFdJaV0llRRtzv76kdcjhdbIv72BLLoyWTq1XXsFjsi3BJjY+y2oFvjCjCZBbrmc16dLIIFA6xmB2sIqX0/Xyszqvq9Tyohtip72eXbT87bfuJqL3Ty/vUPGY65zDTOZeZjnlMc8zAro7ezZ/BAqdjZU0IdddEheM6Qhz9LnTaLCYVZagsTtOUeRtVHfjn7QkHTsexN3dy0SEn0Zf/SmLTpl7jUdkqK3uCKNe556JMgIQkZysZOA1CBk4S5IKceChNNJgiGkwSC6Wp39VFJmWQTRlkkiaZlIGRGZ8DfqpadxDVHVQd+/hIgFU02YduV7HZtdzcoaHbtZ7nuuOYx93LNVsuMNO6gzdFHd27ZUIILFP0BKDZtEkmaRAMhXhx78u8ffhdyGg4DBfT7LOYbtaQaU+TSIChDNIHQRFoARNbqYGt3MBWmUUrsPprrXLWBU5u0cUynqSYQwgU3ucqarmg36Y8j2eKeNvMo1gk+aq1DZ2Rfz3IwOns4D1uwOcWXPx/6nwsReWT5l4W0DUm5TqpQE0IXMEu8g434Gtswd0exBGJntCusopGpzefdJGfRHEB4aIiIkWFGI6Bg40ir/1IMdiXdPNqqJC6dK6pnq4IVmphLtdDeJWBv5dcIsQCXqSK9wEw0TjMIvZwEXEl0LPe8YHTsQSCRq2V2poM25Ob2ZnaRlr0rqXX0JjimM4Mxyyq7dOY4phKpb0a22Cf04MYbuB0LNOCcDwXREUSGlnjaI2Yohh4PJ14fO14vB19WhmMVuAER5NDGF1dxF5ZR/Sll4i/8QYifbT5oBYI4Lv8cnxXXoF7+XJU+6ntUyeNjAycBiEDp7OHaVqE25J0tcTpakkQbk8SDSaJBlPEOtM9tULDodlUdJvaM9dtuSBD03PBhaIqqL3mkGtOIBACELmgAXJfisISudoqszuQMHs/t455bhpHl59uikLvGjBdResOqBQl915ybyr3ZXvk8RFC5IJUy8gFSmb25AJR3UzhdpjklXgonl1BQaWfwnIPryb+gjLM4T/OpsBpstjCYp7BRhoDO2/zUZqVOf1uu8108/NMGQqCz5u7mM6J/WCUgdPZ4fjACeB5ZTJ/VStwiyxrrO0jbuY5Gka7hktLpXF2hbHH4thicfRUqruWyQAULF0jrepss4rYQRFdDh/JPB8rKtPkEznp4zdkPLwVL6HZyI2NZBcmS0UX54sgk7wDf+gVijoW8gJF1AEgUKhnPgdZRjtTqPZPGfLYR7LqGSLLwfR+9qZ2sie9k72pHYTMvoGxhsYk+2Sq7dOYZJtMma2CUlsFZbYKXKp70GOdSOB0rKlladpCNuo77DS020lmetfu2B1RvN52PN52XO4woauXnNTxjtVfVj0rkSD22utEX3qJ2Lp1WNGjn6eq14v34ovxXXkFnosuRvOeeeMDTjQycBqEDJzOPJmUQag1QVdznM6WBKGWBF0tccJtyUGDI1VT8BY6yQs48eY7iEcy2F0adqeem7of63Z1XLRTFlZ3gGVYmKaFaXQ/NnJBlmkcs8wUBCo8GBmLbMbEyJhk07nmhkbaJJuxMHqWmz3rnUAFw0nJqmlMJYluJPCk03gTCfRsHN1IYs9EcRoR/FNKKFw6l6JLl+OdPa3fczFYOvLjnQ2Bk13EOZfneu46B5nMO/yfXnecj9Vh6fwwPYkkGpfpIa5N7znhMsjA6ezQX+BkoPA/6lwaFC9TRJTPW7uwneYPldPZNFAI2Bb38XywmISloyBYnhfi8oIOHKoYcTrywY6zW61hW6tKi+ICwClMLraFWalHBq2BKhKHmMV6ytnbsyxGAWHHZQTtK0mrJQNuO1A6ciEE7UYre1M7OZjZz6H0fg5n9hOzBr7Z4tcKKNXLKdALydcKydcK8GsF5OsF+FQ/7DyAEzsOYccp7OjDSPosEBgYZBWTyWUJMhhkhUlGGGxpbCAbK8OMliMSRSjH9Iuy1Aypsi7iJR3ESlpI5YV7Wlco5JrCKyjoqo5NtWHX7NhUGzbNhkN14LK58Oge7JodRVGGTEcuMhni776bC6Jeehmjvb3nNcVux7NiBd7LLsNz4YXYKydeE/szgQycBiEDp4lJCEEymu2pPepqjvc8jnWlB9zO5tAoKHNTUObBX+Iir8iFL5ALltx+B+oxTdFOV3KI8UqIXF8tIcQx/bW6a8fE0f5bR9bpQ+n539GvKOVorVWCGO8l32LfgefIP3CIeYcN5jRYOLPHlSNQCgvOQ8w/D2adC87cD4XB+mzJwCnHu30/09nAbNZhJ4WFyi4uYzcXI5T+29cnhMp/pytoF3YmKym+6GhCj7f3u+5wyMDp7NBf4ATQjoMfqvNJKTrnWEFuFvsGGSlo9J2uwKkrq/NssITapBeAUluaDxa1Mtl5tEnYaAVOAFFPFaX7G9mLj/VqER3dY67pWCzRYlygR6hQBz6eXzQzjbeZzDZsHP3ODFNCM7NoZhadTO71OTGSzy4hBFERps1qpt1qoVN0ELI66bI6SNK339hQNKGh092PTOQ6CR/5v6lYGBgYyvAyojqzHipDs6kOzWVyaA5Oo3cNT1KP0ZS3jyZ/LU15+wm5WhDK0D+NNUXDY/MwyTuJQlchZe4yyj3llHvLKfeUU+Ypo8xdhk07WjMoLIvU++8TfeklomtfInO4dysBe00NngsvxHvRhbiXLUN1uYb1HqWTIwOnQcjAaXyzLEE0mOwZTbyrJU5Xc26eTgz8g8zls1FQ5qGg3NMdKOWCJW+BY9i1RWd74HQqxOJtHNrzLF21r+M91MDsegvPcXGu8Pph1jmI2Ytg9rlQWtlv/xsZOA1MERZVkXdZUv8rvN19S7ooZzMfpFMZOD1uQqj8JF1GvXCSrxj8g6ORPMWEmAycpMENFDgB1JLHI+osTEVlkdXBx8UBtNNU83SqA6espfBGuID14UIMoaIrFpfkd3KhvxPtuI+t0QycAArrwgBYwE6tiA22STQo3p7Xy0WCxaKDhaKTAP3fUNTIMknbT7VtJ8VqA+oxAYIhdDqtMjrMCoJWBc1V00lp3n730yMwbchyp0SS8oJS2rLNhMyu7qmTsJF7HLUipDIxUkoGQznxzw8dFRs6NjQUy0IXGjpqbhIqNlR0S8OfKMfPXAqCleQFy9DM3k0eDT1DLL+DSH4rXf5Ggr4GYrYwWTNL2kyTMBIY1vDKqSoqFZ4KqvOqqcqrys19uXm5pxzrwCGiL79M7LXXSW7Z0iu5hGK341q4ENeypbiXLsV97rmoHtms71SQgdMgZOA0PqTi2VzzupYEodbc1NWaINyewDIG+CepQF7AmQuQytzdQVLusdMzzA4ug5CB00nKpLEaDxA6+A6xA5twHjpISVuS4xMbZZ12mHUu2uyluUCpYgqoQ9+TloFTXzYzwfSuV5kdXIsvmwt2kvjYzpUc5lwYJH1w0NL5WaaUZuHAjckXHE2Uq93VfzJwkoYwWOAEsJVCfqVOw1JUposwN1v78J2GwXFPVeBkCdge9/HXrgCdRq5jf40zwfWBVors2X63OVWB0xEeu84hvLymlrGDAsxjrvdikWSOCDFNRKgi1u/f3kaKMu0w5fpBSrXDOJS+wzSkLDdhUUTYKiJkFRG1Cola+Rh0J7nwFg+r7IMloziWiUlayZIi3V2jlOs9K7r/A1BRsaGhCx0dHZvQmFVuoh5zw2246ciFCUarTqbeRqbOhtGiI7J9b9ypfhNbiYFebKIXGViFKVKuKAkzzuKSxXQkO2iJt9ASb6E53twzT5sDt4jRFZ1Jvkk9gdQUrYSptTEKth5GbHgPo7m59waahnPuXNxLluCcPx/nvLnYq6tRhvH9KQ1uQgVODzzwAN/97ndpbm5m3rx53HfffVx00UUDrv/qq6+yZs0aduzYQUVFBf/4j//IbbfdNuzjycDp9BCWIB7OEOlOxhDpSBIJpgh3B0ipWP9fNACaruIvcXXXILkp7J7nl7jR7acunacMnIbJMKCjGVrqyTTVkjy8Da3hEN72UJ8gCaDTrxOtriRv5gr8sy6Equmgjvw8ysApR7UMyuI7qI68y5Tw29is3I+dtOZlv7mMPVzYa0Db4wkBW00PT2aLSKLhw+BzjuajQRPIwEka0lCBE8Au/PxCnUFW0fCJDNeLOhaJIKeyx+hoB06GUNgR9/JqKEBHNhcw+TSDDxS2Md8T6zdz5xGnOnA6VhKNHVoR27Ri6tQ8xHEFK7CS1BBnMjEqRIJyErg5tqmbIE8JEtCaKdKaKFSb8SrhAd9fSriIWfnEtDJiBLqnQhIUkMHVp9XAcAOnEzVaA+AKC8ygRrZZ75nMzv7/rSs2gRYwmDm9moIyN3lFLvwlLvxFLnS7hhCCjmQHhyOHqYvW5eaROg5HD1MfqSdlDjyeoE3RWZQuY0mLixmHs5Ts7cDeFuqznur14pw7F+e8eThnz8I+dRqOqTWyZmqEJkzg9Lvf/Y5bbrmFBx54gAsuuICHHnqIRx55hJ07d1JV1fciO3jwIPPnz+ezn/0sn//853njjTe4/fbb+c1vfsNHPvKRYR1TBk4nz7IEyUiGeDhNrCtNPJQmHu6eh9JEO3Npvk1j8AxqnnwH+aVuCkrd5Je6yS/LPfYWOnv1PTpdZODUTQiIRaCzDYKt0NmG0dFAtvUgamsjjmAX6gBJN8JuqCvViE4qwT7tXCpnX01J0dxTXuShviSPNeggsafASQdOwsKfbqY4UUtZfBeV0S3YraN9BkKOSewKrOZA/gU4drUMvBsBBywnLxn51Fq5DFeTlRS32lspUI/rKyADJ2kIwwmcAFpx8kt1Bi1K7t/cJBHnMtHEfNF1QunuhzIagZMloCXjYHMsj/djeSSt3I0el2qy0t/F8rwuHIOMEXTE6QycjpVE44Caz34tn3o1j/YBMtr5RZpyElSIJOUkKBcJikj1nBeNDH61E7/a0TP5lC6c6uB9lrLYSZBPggLi5JMgH7drOhm1iLRahKHk9dsc+2SMVuDUHyulYLTqGO0aRruO0aFhdGpgDvwePPkO/MUu/MUuvIW5BFRuvx1vgQNPvgO7W6M92d4TSNVFjgZWddE6slbfm8uBiGB2vWBuk8asNp2K5jT6AJlq9fJyHDU12KdNwz65EltFRc+k+v3jIuHVeDJhAqfzzz+fxYsX8+CDD/YsmzNnDjfeeCP33ntvn/W/9rWv8fTTT7Nr166eZbfddhtbt27lrbfeGtYxZeCUY5oW2VRuDJ1MysyNXZQyu8cxys1TsSzJeJZUNEsylsk9j2ZJJbLDyr6mqAreAgd5ASe+Ihd5AWeuJqk0l6jB7hzeF+/pckYGTkJAOgmJOCR7TyIexgy3Y0Q6EJEgItKFGo1gD0fQs4N3uk3ZoKkQmgsVgmV5mJOn4KpeSFXxYqY7Z6MPNzf4KDkTAifVyuA2QngyHfjTTeRlWvCnmyhKHsRhxnrvU/dTn7eUQ3nn0eqZ0/Mj5Pj3lhQqhy0HBy0n20wPbSJ3x1zH4nI9xOV6CL2/708ZOElDGG7gBJBFYb1SzktKBdnu5AMuYTBThJlKlKkiQgmpUekHdSKBU8pSacvYac04OJRycSDpJm4dfX95WpZleWHOzwvhVIc/pMJYBU7HS6LRqPpos/lpVDw04aKrO7nE8RQhKCBNMSmKRKpnnk+GPDK4MLGRxquG8SohvM4sXoLdUydOYv3u91gmdjJqIVnFT1bNz82PeWyoeRiKF1NxY+IctMnxEacycOqPMMEMaRgdGjOs+YTbkoTbc1MmOfRnoKorePwOXD47To8Np1fH5bHj9OrY3TopPUan1UGb0UpruomGdD31qUPUJQ+TVpKggGoJKjtgaotgarOgql1QEYT8IXJxWC4HorQIvagIW3ExjkAxjpJSbIFitMICNJ8P1etF9frQvB5UrxdFH1+/10bbSGKDMftLZDIZNm3axN13391r+erVq3nzzTf73eatt95i9erVvZZdddVVPProo2SzWWy20/tj7WR1NsdpORDOZSo7MrbPcZnLjj4XPWPiHJvd7Ei2s2MHFTUNCzNrYhqiZ+wc08ilojazFpmUedLj6SgKuP0OPH47nnzH0cnv6Mla5y1woGqy7W2/DuyChgNgWWTNJA2pg2BZYJlHJ/PIcwule35kUg0DNWt0z020I8+7H2tZA1vKwJ42+m0+d4QGDDQMX6cXOvIgmKfQkQfhgJtMcSlqWTX+omlMdcxkgWMGXs13Kv5CE45XdBCgDhUTBQsVExUTo20rKgaqMNGtDDYric1M9sztVhKXEcJhxgfct6HY6XBNpd09gwbfubS7p/f5MWFY8Hy2gJDQ6RJ697z3Z6KOxTItxqV6iIAqAxzp9LAhWCWaOF+08YZSyjtKCWHFzlYlwFZyKfJVIcgnTYA0HmHgxMCJiQsTOyYKoCKOmY4+FygIwEIhHfVgAUIo3X1jwBIKGaGQsVQyQiVtqcRNjaipEzV1Ymbfn0I2xWKWO84ib5hprgRj0Ahi1LgwmW6FOFfEem56JtFowUWz4qYZd888rWh04qQTJ3v6ec82YZJHFi9ZHMLEmdFxKhYOBE7FwkWaIrooUjoIKF0ECFJIJ4VKJ/l04SeMpmRwWS24aIEhEuMJFLI4yOIkgwsDBwYOTPTuyYaJTjidwkLDUjQEClWo3c0Vle5/H2pu3r3Md9A4+roCrWVzyTqGSIRxDEUDPWCiB0yWzzyaIEMIQTpuEGpPEOkOpGKhoy1y4qE0yWgWyxBEgymiwYGb6+UU4qaQmcxnZs/BQbWD0E0sPUvWniFTnWZHdYpNVhIhMjiyJo6MgStt4Oyeu1MGzqyV+6sKC6VDQIeFIrpQRCewA0WI3IQFIrceCCwNLJuCaVMRuoqlKaBrCE0FTQVdA11D1RV8zobcc03rNVc0nfiy2WSrSlEVFQUFVVFZWbGSAufpG0bgZI1Z4NTR0YFpmpSWlvZaXlpaSktL/81NWlpa+l3fMAw6OjooLy/vs006nSZ9zOjN4XDujk0kcvID052sPe818saT+8a0DJpNxe7IjVdkc2rYuh/rDg2n24bTp+fmXjsur959Z8SO02sbojldllh84H5M41EsfmIDfp4I5c0XUf76x57npQOvesKM7gnAUCHpgIS9e+5QSDgg4oGoWyPtcWD4vODNR/EXYSssw+sIUKAVUKKXUWMrx318cw8BpCB2ggOljqZkYgTpblPJU1KGIvYyi+f6vlA/9Lbp7slEJ24rIOooI2IrI+oopctZRZezEqEc83Gd7PtlawlYF7dhoJI7OVkgS0DJUqWmqFFTzNPiOCwBGQZPEJweuEPzUJKyxumsoIrhpYLutQ1pLuIAF3CAejwcVHwcUnwcxktW0egAOrABJ3ETdEQNBywgA2TwaVmKbBkqHGlqXAkm2VM9tbHpoX7bDiCVGt0ap+RJXJfQ95yVkqCUIOd2PxdADJ0gTjoUBx04CSpOOnEQwUZSySUybwfa0YAjfVWPvYnjAPKA/mvaP2ZrZoXWjIswDhI4iOEk1j2P4yCKkzg2UmiY3aVKkgv1utC6j9DHSP806/7a62nbqv9LovDE+mH193vSHVBwB9yUze7bTNI0LOKRNIlQhlQ8SzqRJRnLkklkScVzrX1SiWxujMW0RTZtkknnxl3s0ev9ami4u//rzQBiem7iVHZ76r6U9HicC/7yxICr/aLpz2yY0/um309W/4QFRQtOYeGGduQcDqcR3pjXvR3fzlIIMWjby/7W72/5Effeey///u//3mf55MkDp+iVJEkaO13AgVHbWz2wZdT2JkmSdOK+P9YFGMh//OsJb/opPjV65TjT3d930YVcePrLMYBoNIrf7x90nTELnIqKitA0rU/tUltbW59apSPKysr6XV/XdQKBQL/b3HPPPaxZs6bnuWVZdHZ2EggEZOe40yASiTB58mTq6+vP6j5lE4E8VxOHPFcThzxXE4s8XxOHPFcTx3g/V0IIotEoFRUVQ647ZoGT3W5nyZIlrF27lg996EM9y9euXcsNN9zQ7zYrVqzgmWee6bXsxRdfZOnSpQP2b3I4HDgcvSt28/PzT67w0ojl5eWNy4tF6kueq4lDnquJQ56riUWer4lDnquJYzyfq6Fqmo4Y0577a9as4ZFHHuGxxx5j165d3HnnndTV1fWMy3TPPfdw66239qx/2223cfjwYdasWcOuXbt47LHHePTRR7nrrrvG6i1IkiRJkiRJknQWGNM+TjfddBPBYJBvfvObNDc3M3/+fJ5//nmqq3OdCpubm6mrq+tZv6amhueff54777yTH/3oR1RUVHD//fcPewwnSZIkSZIkSZKkEzHmySFuv/12br/99n5f+9nPftZn2SWXXMJ77713iksljRaHw8E3vvGNPs0lpfFHnquJQ56riUOeq4lFnq+JQ56rieNMOldjOgCuJEmSJEmSJEnSRCBHJ5UkSZIkSZIkSRqCDJwkSZIkSZIkSZKGIAMnSZIkSZIkSZKkIcjASZIkSZIkSZIkaQgycJJO2L333suyZcvw+XyUlJRw4403smfPnkG3WbduHYqi9Jl27959mkp9dnrwwQdZuHBhz+BzK1as4M9//vOg27z66qssWbIEp9PJ1KlT+fGPf3yaSnt2G+m5ktfU+HHvvfeiKApf+cpXBl1PXltjbzjnSl5bY+ff/u3f+vzdy8rKBt1GXldjY6TnaqJfV2OejlyauF599VW++MUvsmzZMgzD4Otf/zqrV69m586deDyeQbfds2dPr9Gji4uLT3Vxz2qVlZX8x3/8B9OnTwfg5z//OTfccAObN29m3rx5fdY/ePAg11xzDZ/97Gf53//9X9544w1uv/12iouL5bhpp9hIz9UR8poaW++++y4PP/wwCxcuHHQ9eW2NveGeqyPktTU25s2bx0svvdTzXNO0AdeV19XYGsm5OmKiXlcycJJO2AsvvNDr+U9/+lNKSkrYtGkTF1988aDblpSUkJ+ffwpLJx3r+uuv7/X829/+Ng8++CAbNmzo98f4j3/8Y6qqqrjvvvsAmDNnDhs3buR73/ue/BI6xUZ6ro6Q19TYicVi3HzzzfzkJz/hW9/61qDrymtrbI3kXB0hr62xoev6kLVMR8jramyN5FwdMVGvK9lUTxo14XAYgMLCwiHXXbRoEeXl5axatYpXXnnlVBdNOoZpmvz2t78lHo+zYsWKftd56623WL16da9lV111FRs3biSbzZ6OYkoM71wdIa+psfPFL36Ra6+9liuuuGLIdeW1NbZGcq6OkNfW2KitraWiooKamho+/vGPc+DAgQHXldfV2BrJuTpiol5XssZJGhVCCNasWcOFF17I/PnzB1yvvLychx9+mCVLlpBOp/nlL3/JqlWrWLdu3ZC1VNLJ2bZtGytWrCCVSuH1ennqqaeYO3duv+u2tLRQWlraa1lpaSmGYdDR0UF5efnpKPJZayTnSl5TY+u3v/0tmzZtYuPGjcNaX15bY2ek50peW2Pn/PPP5xe/+AUzZ86ktbWVb33rW6xcuZIdO3YQCAT6rC+vq7Ez0nM10a8rGThJo+JLX/oS77//Pq+//vqg682aNYtZs2b1PF+xYgX19fV873vfmxAXzEQ2a9YstmzZQigU4sknn+STn/wkr7766oA/yBVF6fVcCNHvcmn0jeRcyWtq7NTX1/PlL3+ZF198EafTOezt5LV1+p3IuZLX1ti5+uqrex4vWLCAFStWMG3aNH7+85+zZs2afreR19XYGOm5mujXlWyqJ520O+64g6effppXXnmFysrKEW+/fPlyamtrT0HJpGPZ7XamT5/O0qVLuffeeznnnHP44Q9/2O+6ZWVltLS09FrW1taGruv93kGSRtdIzlV/5DV1emzatIm2tjaWLFmCruvous6rr77K/fffj67rmKbZZxt5bY2NEzlX/ZHX1tjweDwsWLBgwL+9vK7Gj6HOVX8m0nUla5ykEyaE4I477uCpp55i3bp11NTUnNB+Nm/eLKvRx4AQgnQ63e9rK1as4Jlnnum17MUXX2Tp0qXYbLbTUTzpGIOdq/7Ia+r0WLVqFdu2beu17NOf/jSzZ8/ma1/7Wr+ZpeS1NTZO5Fz1R15bYyOdTrNr1y4uuuiifl+X19X4MdS56s+Euq6EJJ2gL3zhC8Lv94t169aJ5ubmnimRSPSsc/fdd4tbbrml5/kPfvAD8dRTT4m9e/eK7du3i7vvvlsA4sknnxyLt3DWuOeee8T69evFwYMHxfvvvy/+6Z/+SaiqKl588UUhRN/zdODAAeF2u8Wdd94pdu7cKR599FFhs9nEE088MVZv4awx0nMlr6nx5ZJLLhFf/vKXe57La2v8GupcyWtr7Hz1q18V69atEwcOHBAbNmwQ1113nfD5fOLQoUNCCHldjScjPVcT/bqSNU7SCXvwwQcBuPTSS3st/+lPf8qnPvUpAJqbm6mrq+t5LZPJcNddd9HY2IjL5WLevHk899xzXHPNNaer2Gel1tZWbrnlFpqbm/H7/SxcuJAXXniBK6+8Euh7nmpqanj++ee58847+dGPfkRFRQX333+/TOt6Goz0XMlranyT19bEIa+t8aOhoYFPfOITdHR0UFxczPLly9mwYQPV1dWAvK7Gk5Geq4l+XSlCdPeekyRJkiRJkiRJkvolk0NIkiRJkiRJkiQNQQZOkiRJkiRJkiRJQ5CBkyRJkiRJkiRJ0hBk4CRJkiRJkiRJkjQEGThJkiRJkiRJkiQNQQZOkiRJkiRJkiRJQ5CBkyRJkiRJkiRJ0hBk4CRJkiSdkS699FK+8pWvADBlyhTuu+++MS2PJEmSNLHJwEmSJEmSJEmSJGkIMnCSJEmSJEmSJEkaggycJEmSpLNCIpHgM5/5DD6fj6qqKh5++OGe137xi1/g9Xqpra3tWXbHHXcwc+ZM4vH4WBRXkiRJGmdk4CRJkiSdFb7//e+zdOlSNm/ezO23384XvvAFdu/eDcCtt97KNddcw80334xhGLzwwgs89NBD/OpXv8Lj8YxxySVJkqTxQAZOkiRJ0lnhmmuu4fbbb2f69Ol87Wtfo6ioiHXr1vW8/tBDD9Hc3Mw//MM/8KlPfYpvfOMbLFu2bOwKLEmSJI0r+lgXQJIkSZJOh4ULF/Y8VhSFsrIy2traepYVFBTw6KOPctVVV7Fy5UruvvvusSimJEmSNE7JGidJkiTprGCz2Xo9VxQFy7J6LVu/fj2aptHU1CT7NkmSJEm9yMBJkiRJkoA333yT//qv/+KZZ54hLy+PO+64Y6yLJEmSJI0jsqmeJEmSdNaLRqPccsst3HHHHVx99dVUVVWxdOlSrrvuOj760Y+OdfEkSZKkcUDWOEmSJElnvS9/+ct4PB6+853vADBv3jz+8z//k9tuu43GxsYxLp0kSZI0HihCCDHWhZAkSZIkSZIkSRrPZI2TJEmSJEmSJEnSEGTgJEmSJEmSJEmSNAQZOEmSJEmSJEmSJA1BBk6SJEmSJEmSJElDkIGTJEmSJEmSJEnSEGTgJEmSJEmSJEmSNAQZOEmSJEmSJEmSJA1BBk6SJEmSJEmSJElDkIGTJEmSJEmSJEnSEGTgJEmSJEmSJEmSNAQZOEmSJEmSJEmSJA1BBk6SJEmSJEmSJElD+P8Bl1FEt2zRQMcAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_col(\"lhx\",data[files[0]])\n", + "plot_col(\"lhx\",data[files[2]])\n", + "plot_col(\"lhx\",data[files[5]])\n", + "plot_col(\"lhx\",data[files[11]])" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "fb291e0b", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[339 0 31 7 0]\n", + " [ 0 43 2 4 2]\n", + " [ 32 11 40 19 9]\n", + " [ 23 5 6 34 25]\n", + " [ 8 24 23 41 241]]\n", + "0.7192982456140351\n", + "[[354 0 15 8 0]\n", + " [ 0 21 6 18 6]\n", + " [ 35 2 39 22 13]\n", + " [ 25 3 6 35 24]\n", + " [ 10 16 33 44 234]]\n", + "0.7048503611971104\n", + "[[248 12 10 14 7]\n", + " [ 22 1 0 3 0]\n", + " [ 26 7 29 8 7]\n", + " [ 19 7 4 41 8]\n", + " [ 56 13 69 35 69]]\n", + "0.5426573426573427\n", + "[[216 49 6 12 8]\n", + " [ 18 5 0 3 0]\n", + " [ 22 14 20 7 14]\n", + " [ 12 17 1 39 10]\n", + " [ 47 26 33 25 111]]\n", + "0.5468531468531469\n" + ] + } + ], + "source": [ + "#raw file is affected by persons habits/enviormental factors most likely\n", + "file_raw=[files[0],files[2],files[3]]\n", + "file_va=[files[1],files[4]]\n", + "model=SVC(kernel='rbf',gamma='scale',class_weight='balanced')\n", + "modelfitter(model,data,\"onevsone\",'raw',None,file_raw)\n", + "modelfitter(model,data,\"onevsrest\",'raw',None,file_raw)\n", + "modelfitter(model,data,\"onevsone\",'va',drop_file,file_va)\n", + "modelfitter(model,data,\"onevsrest\",'va',drop_file,file_va)" + ] + }, + { + "cell_type": "markdown", + "id": "c0a9c824", + "metadata": {}, + "source": [ + "Since we want to generalize, i guess this is kinda irrelevant" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "id": "01d33ba9", + "metadata": {}, + "outputs": [], + "source": [ + "import csv\n", + "def test_model(model,drop_files=None):\n", + " df=pd.read_csv(\"test.csv\")\n", + " df.columns=[\"vlhx\",\"vlhy\",\"vlhz\",\"vrhx\",\"vrhy\",\"vrhz\",\"vlwx\",\"vlwy\",\"vlwz\",\"vrwx\",\"vrwy\",\"vrwz\",\"alhx\",\"alhy\",\"alhz\",\"arhx\",\"arhy\",\"arhz\",\"alwx\",\"alwy\",\"alwz\",\"arwx\",\"arwy\",\"arwz\",\"svlh\",\"svrh\",\"svlw\",\"svrw\",\"salh\",\"sarh\",\"salw\",\"sarw\"]\n", + " print(np.any(pd.isna(df)))\n", + " X=df\n", + " if drop_files is not None:\n", + " for column in drop_files:\n", + " X.drop([column],axis=1,inplace=True)\n", + " scaler=StandardScaler()\n", + " scaler.fit(X)\n", + " X=scaler.transform(X)\n", + " result=model.predict(X)\n", + " ans=[]\n", + " for i in range(len(result)):\n", + " ans.append([i+1,result[i]])\n", + " headers=[\"ID\",\"Phase\"]\n", + " with open(\"Prediction.csv\",'w', newline='') as f:\n", + " csvwriter = csv.writer(f)\n", + " csvwriter.writerow([f for f in headers])\n", + " csvwriter.writerows(ans)\n", + " return result" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "041d2153", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "model=SVC(kernel='rbf',gamma='scale',class_weight='balanced')\n", + "model=modelfitter(model,data,\"onevsrest\",'va',None,file_va,1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a371d370", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "result=test_model(model,drop_file)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0c52c360", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "from sklearn.ensemble import RandomForestClassifier\n", + "drop_file=[]\n", + "model=RandomForestClassifier(n_estimators=1000,max_depth=15,max_features='sqrt',random_state=42,class_weight='balanced')\n", + "model=modelfitter(model,data,\"multi\",'va',drop_file,file_va,1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "10d46548", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "result=test_model(model,None)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "14785113", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "from sklearn.ensemble import GradientBoostingClassifier\n", + "drop_file=[]\n", + "model=GradientBoostingClassifier(learning_rate=0.1,n_estimators=1000,max_depth=15,random_state=18,max_features=\"log2\",\n", + " validation_fraction=0.05,n_iter_no_change=25,tol=1e-3)\n", + "model=modelfitter(model,data,\"multi\",'va',drop_file,file_va,1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7aad43a8", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "result=test_model(model,None)" + ] + }, + { + "cell_type": "markdown", + "id": "3f7f18a8", + "metadata": {}, + "source": [ + "In this approach, i am modelling the process similar to a markov chain where i assume that the current state of the model only depends on the current conditions and the previous state. To achieve this i concatenate the prediction of the current state into the next row and then i ran i several models to test out the improvements. By far, KNN gave the best improvements over any other model i used before." + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "id": "2edba15c", + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans\n", + "from sklearn.preprocessing import RobustScaler\n", + "n_clust=8\n", + "alpha=0.0001\n", + "def modelfitter_tsa(model,data,method,data_form,drop_file=None,csv_files=files,return_model=0,unsup=0):\n", + " dataset=pd.DataFrame()\n", + " for x in csv_files:\n", + " if data_form in x:\n", + " dataset=pd.concat([dataset,data[x]],axis=0)\n", + " dataset.reset_index(inplace = True)\n", + " dataset.drop(['index'],axis=1,inplace=True)\n", + " X=dataset\n", + " y=dataset[\"phase\"]\n", + " \n", + " z=pd.DataFrame()\n", + " z=pd.concat([pd.DataFrame(X['phase'].shift(1)),z],axis=0)\n", + " z = pd.get_dummies(pd.DataFrame(z), columns = ['phase'])\n", + " z=z.replace([1,0],[alpha,-alpha])\n", + " X.drop(['phase'],axis=1,inplace=True)\n", + " \n", + " if data_form=='raw':\n", + " X.drop(['timestamp'],axis=1,inplace=True)\n", + " if data_form=='va' and drop_file is not None:\n", + " for column in drop_file:\n", + " X.drop([column],axis=1,inplace=True)\n", + " \n", + " X=pd.concat([pd.DataFrame(X),z],axis=1)\n", + " \n", + " if method=='onevsone':\n", + " model=OneVsOneClassifier(model)\n", + " elif method=='onevsrest':\n", + " model=OneVsRestClassifier(model)\n", + " \n", + " if unsup==0:\n", + " scaler=StandardScaler()\n", + " scaler.fit(X)\n", + " X=scaler.transform(X)\n", + " \n", + " model.fit(X,y)\n", + " print(model.score(X, y))\n", + " if return_model:\n", + " return model\n", + " \n", + " else:\n", + " kmeans = KMeans(n_clusters=n_clust).fit(X)\n", + " result=kmeans.predict(X)\n", + " z=pd.DataFrame()\n", + " z=pd.concat([pd.DataFrame(result,columns=['kmeans']),z],axis=0)\n", + " z = pd.get_dummies(pd.DataFrame(z), columns = ['kmeans'])\n", + " z=z.replace([1,0],[alpha,-alpha])\n", + " X=pd.concat([X,z],axis=1)\n", + " \n", + " scaler=StandardScaler()\n", + " scaler.fit(X)\n", + " X=scaler.transform(X)\n", + " \n", + " model.fit(X,y)\n", + " print(model.score(X, y))\n", + " if return_model:\n", + " return model,kmeans\n", + " \n", + "def test_model_tsa(model,drop_files=None,kmeans=None):\n", + " df=pd.read_csv(\"test.csv\")\n", + " df.columns=[\"vlhx\",\"vlhy\",\"vlhz\",\"vrhx\",\"vrhy\",\"vrhz\",\"vlwx\",\"vlwy\",\"vlwz\",\"vrwx\",\"vrwy\",\"vrwz\",\"alhx\",\"alhy\",\"alhz\",\"arhx\",\"arhy\",\"arhz\",\"alwx\",\"alwy\",\"alwz\",\"arwx\",\"arwy\",\"arwz\",\"svlh\",\"svrh\",\"svlw\",\"svrw\",\"salh\",\"sarh\",\"salw\",\"sarw\"]\n", + " print(np.any(pd.isna(df)))\n", + " X=df\n", + " if drop_files is not None:\n", + " for column in drop_files:\n", + " X.drop([column],axis=1,inplace=True)\n", + " scaler=StandardScaler()\n", + " scaler.fit(X)\n", + " X=scaler.transform(X)\n", + " \n", + " y=['D','H','P','R','S']\n", + " clust=[]\n", + " for i in range(n_clust):\n", + " clust.append(i)\n", + " result='A'\n", + " predictions=[]\n", + " \n", + " for i in range(len(X)):\n", + " x=X[i]\n", + " for z in y:\n", + " if z!=result:\n", + " x=np.append(x,-alpha)\n", + " else:\n", + " x=np.append(x,alpha)\n", + " if kmeans is not None:\n", + " clust_result=int(kmeans.predict(x.reshape(1,-1)))\n", + " for z in clust:\n", + " if z!=clust_result:\n", + " x=np.append(x,-alpha)\n", + " else:\n", + " x=np.append(x,alpha)\n", + " \n", + " result=model.predict(x.reshape(1,-1))\n", + " predictions.append(result)\n", + " \n", + " ans=[]\n", + " for i in range(len(predictions)):\n", + " ans.append([i+1,predictions[i][0]])\n", + " headers=[\"ID\",\"Phase\"]\n", + " with open(\"Prediction.csv\",'w', newline='') as f:\n", + " csvwriter = csv.writer(f)\n", + " csvwriter.writerow([f for f in headers])\n", + " csvwriter.writerows(ans)\n", + " return predictions" + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "id": "a7b2c6bb", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 1.282035e-17\n", + "1 1.252977e-17\n", + "2 6.245587e-18\n", + "3 2.262472e-19\n", + "4 7.253504e-19\n", + "5 -2.066909e-17\n", + "6 7.764259e-18\n", + "7 1.071979e-17\n", + "8 -1.631310e-19\n", + "9 -3.426237e-18\n", + "10 5.515382e-19\n", + "11 -1.874065e-18\n", + "12 2.705256e-18\n", + "13 5.981470e-19\n", + "14 -1.563035e-18\n", + "15 1.708020e-18\n", + "16 -1.361367e-18\n", + "17 -2.737299e-18\n", + "18 1.360396e-18\n", + "19 1.386128e-17\n", + "20 1.087516e-17\n", + "21 -5.157197e-18\n", + "22 7.842669e-18\n", + "23 3.089051e-19\n", + "24 -2.246547e-17\n", + "25 -3.511201e-17\n", + "26 1.468801e-16\n", + "27 -1.261546e-16\n", + "28 -1.042796e-16\n", + "29 1.583148e-16\n", + "30 5.648994e-17\n", + "31 1.190080e-16\n", + "dtype: float64\n" + ] + }, + { + "ename": "KeyboardInterrupt", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m~\\AppData\\Local\\Temp\\ipykernel_19512\\444106208.py\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[0;32m 11\u001b[0m \u001b[0mmodel\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mKNeighborsClassifier\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 12\u001b[0m \u001b[0mmodel\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mGridSearchCV\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mhyperparameters\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcv\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m10\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 13\u001b[1;33m \u001b[0mmodel\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mmodelfitter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mdata\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m\"multi\"\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'va'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mdrop_file\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mfile_va\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 14\u001b[0m \u001b[0mmodel_ensem\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\AppData\\Local\\Temp\\ipykernel_19512\\1809073871.py\u001b[0m in \u001b[0;36mmodelfitter\u001b[1;34m(model, data, method, data_form, drop_file, csv_files, return_model, resample)\u001b[0m\n\u001b[0;32m 72\u001b[0m \u001b[0mmodel\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mOneVsRestClassifier\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmodel\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 73\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 74\u001b[1;33m \u001b[0mmodel\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mX_train\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0my_train\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 75\u001b[0m \u001b[0mresult\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mmodel\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpredict\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mX_test\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 76\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\sklearn\\model_selection\\_search.py\u001b[0m in \u001b[0;36mfit\u001b[1;34m(self, X, y, groups, **fit_params)\u001b[0m\n\u001b[0;32m 889\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mresults\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 890\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 891\u001b[1;33m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_run_search\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mevaluate_candidates\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 892\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 893\u001b[0m \u001b[1;31m# multimetric is determined here because in the case of a callable\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\sklearn\\model_selection\\_search.py\u001b[0m in \u001b[0;36m_run_search\u001b[1;34m(self, evaluate_candidates)\u001b[0m\n\u001b[0;32m 1390\u001b[0m \u001b[1;32mdef\u001b[0m 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more_results)\u001b[0m\n\u001b[0;32m 836\u001b[0m )\n\u001b[0;32m 837\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 838\u001b[1;33m out = parallel(\n\u001b[0m\u001b[0;32m 839\u001b[0m delayed(_fit_and_score)(\n\u001b[0;32m 840\u001b[0m \u001b[0mclone\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mbase_estimator\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\joblib\\parallel.py\u001b[0m in \u001b[0;36m__call__\u001b[1;34m(self, iterable)\u001b[0m\n\u001b[0;32m 1044\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_iterating\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_original_iterator\u001b[0m \u001b[1;32mis\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 1045\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 1046\u001b[1;33m 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779\u001b[1;33m \u001b[0mjob\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_backend\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mapply_async\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mbatch\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcallback\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mcb\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 780\u001b[0m \u001b[1;31m# A job can complete so quickly than its callback is\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 781\u001b[0m \u001b[1;31m# called before we get here, causing self._jobs to\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\joblib\\_parallel_backends.py\u001b[0m in \u001b[0;36mapply_async\u001b[1;34m(self, func, callback)\u001b[0m\n\u001b[0;32m 206\u001b[0m \u001b[1;32mdef\u001b[0m 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self.items]\n\u001b[0;32m 264\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\joblib\\parallel.py\u001b[0m in \u001b[0;36m\u001b[1;34m(.0)\u001b[0m\n\u001b[0;32m 260\u001b[0m \u001b[1;31m# change the default number of processes to -1\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 261\u001b[0m \u001b[1;32mwith\u001b[0m \u001b[0mparallel_backend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_backend\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mn_jobs\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_n_jobs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 262\u001b[1;33m return [func(*args, **kwargs)\n\u001b[0m\u001b[0;32m 263\u001b[0m for func, args, kwargs in self.items]\n\u001b[0;32m 264\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", + 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} + ], + "source": [ + "from sklearn.neighbors import KNeighborsClassifier\n", + "from sklearn.model_selection import GridSearchCV\n", + "model_ensem=[]\n", + "no_of_models=1\n", + "drop_file=[]\n", + "for i in range(1,no_of_models+1):\n", + " model=KNeighborsClassifier()\n", + " model=modelfitter(model,data,\"multi\",'va',drop_file,file_va,1)\n", + " model_ensem.append(model)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "840d4f1e", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "result_ensem=pd.DataFrame()\n", + "for model in model_ensem:\n", + " result=test_model(model,drop_file)\n", + " result_ensem=pd.concat([result_ensem,pd.DataFrame(result)],axis=1)\n", + "result=result_ensem.mode(axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 146, + "id": "6c376bc3", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 1.282035e-17\n", + "1 1.252977e-17\n", + "2 6.245587e-18\n", + "3 2.262472e-19\n", + "4 7.253504e-19\n", + "5 -2.066909e-17\n", + "6 7.764259e-18\n", + "7 1.071979e-17\n", + "8 -1.631310e-19\n", + "9 -3.426237e-18\n", + "10 5.515382e-19\n", + "11 -1.874065e-18\n", + "12 2.705256e-18\n", + "13 5.981470e-19\n", + "14 -1.563035e-18\n", + "15 1.708020e-18\n", + "16 -1.361367e-18\n", + "17 -2.737299e-18\n", + "18 1.360396e-18\n", + "19 1.386128e-17\n", + "20 1.087516e-17\n", + "21 -5.157197e-18\n", + "22 7.842669e-18\n", + "23 3.089051e-19\n", + "24 -2.246547e-17\n", + "25 -3.511201e-17\n", + "26 1.468801e-16\n", + "27 -1.261546e-16\n", + "28 -1.042796e-16\n", + "29 1.583148e-16\n", + "30 5.648994e-17\n", + "31 1.190080e-16\n", + "dtype: float64\n", + "[[266 0 4 8 13]\n", + " [ 5 16 2 0 3]\n", + " [ 9 1 47 0 22]\n", + " [ 14 0 4 31 28]\n", + " [ 8 0 7 11 216]]\n", + "0.8055944055944056\n" + ] + } + ], + "source": [ + "import xgboost as xgb\n", + "xmodel_ensem=[]\n", + "no_of_models=1\n", + "drop_file=[]\n", + "for i in range(1,no_of_models+1):\n", + " model=xgb.XGBClassifier()\n", + " model=modelfitter(model,data,\"multi\",'va',drop_file,file_va,1)\n", + " model_ensem.append(model)" + ] + }, + { + "cell_type": "code", + "execution_count": 147, + "id": "519acdb4", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "False\n" + ] + } + ], + "source": [ + "result_ensem=pd.DataFrame()\n", + "for model in model_ensem:\n", + " result=test_model(model,drop_file)\n", + " result_ensem=pd.concat([result_ensem,pd.DataFrame(result)],axis=1)\n", + "result=result_ensem.mode(axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "61abce54", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}