diff --git a/Improving_DNN/GradientChecking/GradientChecking.ipynb b/Improving_DNN/GradientChecking/GradientChecking.ipynb index 9441a4e..82353a7 100644 --- a/Improving_DNN/GradientChecking/GradientChecking.ipynb +++ b/Improving_DNN/GradientChecking/GradientChecking.ipynb @@ -17,10 +17,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 1, + "metadata": {}, "outputs": [], "source": [ "# Packages\n", @@ -72,10 +70,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 2, + "metadata": {}, "outputs": [], "source": [ "# GRADED FUNCTION: forward_propagation\n", @@ -93,7 +89,7 @@ " \"\"\"\n", " \n", " ### START CODE HERE ### (approx. 1 line)\n", - " J = None\n", + " J = x * theta\n", " ### END CODE HERE ###\n", " \n", " return J" @@ -101,9 +97,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "J = 8\n" + ] + } + ], "source": [ "x, theta = 2, 4\n", "J = forward_propagation(x, theta)\n", @@ -133,10 +137,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 4, + "metadata": {}, "outputs": [], "source": [ "# GRADED FUNCTION: backward_propagation\n", @@ -154,7 +156,7 @@ " \"\"\"\n", " \n", " ### START CODE HERE ### (approx. 1 line)\n", - " dtheta = None\n", + " dtheta = x\n", " ### END CODE HERE ###\n", " \n", " return dtheta" @@ -162,11 +164,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { "scrolled": true }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "dtheta = 2\n" + ] + } + ], "source": [ "x, theta = 2, 4\n", "dtheta = backward_propagation(x, theta)\n", @@ -212,10 +222,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 8, + "metadata": {}, "outputs": [], "source": [ "# GRADED FUNCTION: gradient_check\n", @@ -235,22 +243,22 @@ " \n", " # Compute gradapprox using left side of formula (1). epsilon is small enough, you don't need to worry about the limit.\n", " ### START CODE HERE ### (approx. 5 lines)\n", - " thetaplus = None # Step 1\n", - " thetaminus = None # Step 2\n", - " J_plus = None # Step 3\n", - " J_minus = None # Step 4\n", - " gradapprox = None # Step 5\n", + " thetaplus = theta+epsilon # Step 1\n", + " thetaminus = theta-epsilon # Step 2\n", + " J_plus = thetaplus*x # Step 3\n", + " J_minus = thetaminus*x # Step 4\n", + " gradapprox = (J_plus-J_minus) / (2*epsilon) # Step 5\n", " ### END CODE HERE ###\n", " \n", " # Check if gradapprox is close enough to the output of backward_propagation()\n", " ### START CODE HERE ### (approx. 1 line)\n", - " grad = None\n", + " grad = backward_propagation(x, theta)\n", " ### END CODE HERE ###\n", " \n", " ### START CODE HERE ### (approx. 1 line)\n", - " numerator = None # Step 1'\n", - " denominator = None # Step 2'\n", - " difference = None # Step 3'\n", + " numerator = np.linalg.norm(grad-gradapprox) # Step 1'\n", + " denominator = np.linalg.norm(grad)+np.linalg.norm(gradapprox) # Step 2'\n", + " difference = numerator/denominator # Step 3'\n", " ### END CODE HERE ###\n", " \n", " if difference < 1e-7:\n", @@ -263,11 +271,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": { "scrolled": true }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The gradient is correct!\n", + "difference = 2.919335883291695e-10\n" + ] + } + ], "source": [ "x, theta = 2, 4\n", "difference = gradient_check(x, theta)\n", @@ -320,10 +337,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 10, + "metadata": {}, "outputs": [], "source": [ "def forward_propagation_n(X, Y, parameters):\n", @@ -380,10 +395,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 11, + "metadata": {}, "outputs": [], "source": [ "def backward_propagation_n(X, Y, cache):\n", @@ -469,10 +482,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 12, + "metadata": {}, "outputs": [], "source": [ "# GRADED FUNCTION: gradient_check_n\n", @@ -506,28 +517,28 @@ " # Compute J_plus[i]. Inputs: \"parameters_values, epsilon\". Output = \"J_plus[i]\".\n", " # \"_\" is used because the function you have to outputs two parameters but we only care about the first one\n", " ### START CODE HERE ### (approx. 3 lines)\n", - " thetaplus = None # Step 1\n", - " thetaplus[i][0] = None # Step 2\n", - " J_plus[i], _ = None # Step 3\n", + " thetaplus = np.copy(parameters_values) # Step 1\n", + " thetaplus[i][0] = thetaplus[i][0]+epsilon # Step 2\n", + " J_plus[i], _ = forward_propagation_n(X,Y, vector_to_dictionary(thetaplus)) # Step 3\n", " ### END CODE HERE ###\n", " \n", " # Compute J_minus[i]. Inputs: \"parameters_values, epsilon\". Output = \"J_minus[i]\".\n", " ### START CODE HERE ### (approx. 3 lines)\n", - " thetaminus = None # Step 1\n", - " thetaminus[i][0] = None # Step 2 \n", - " J_minus[i], _ = None # Step 3\n", + " thetaminus = np.copy(parameters_values) # Step 1\n", + " thetaminus[i][0] = thetaminus[i][0]-epsilon # Step 2 \n", + " J_minus[i], _ = forward_propagation_n(X,Y, vector_to_dictionary(thetaminus)) # Step 3\n", " ### END CODE HERE ###\n", " \n", " # Compute gradapprox[i]\n", " ### START CODE HERE ### (approx. 1 line)\n", - " gradapprox[i] = None\n", + " gradapprox[i] = (J_plus[i]-J_minus[i])/(2*epsilon)\n", " ### END CODE HERE ###\n", " \n", " # Compare gradapprox to backward propagation gradients by computing difference.\n", " ### START CODE HERE ### (approx. 1 line)\n", - " numerator = None # Step 1'\n", - " denominator = None # Step 2'\n", - " difference = None # Step 3'\n", + " numerator = np.linalg.norm(grad-gradapprox) # Step 1'\n", + " denominator = np.linalg.norm(grad)+np.linalg.norm(gradapprox) # Step 2'\n", + " difference = numerator/denominator # Step 3'\n", " ### END CODE HERE ###\n", "\n", " if difference > 2e-7:\n", @@ -540,11 +551,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": { "scrolled": false }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[93mThere is a mistake in the backward propagation! difference = 0.2850931567761624\u001b[0m\n" + ] + } + ], "source": [ "X, Y, parameters = gradient_check_n_test_case()\n", "\n", @@ -618,7 +637,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.0" + "version": "3.7.1" } }, "nbformat": 4, diff --git a/Improving_DNN/Initialization/Initialization.ipynb b/Improving_DNN/Initialization/Initialization.ipynb index 6f24909..bb4ee13 100644 --- a/Improving_DNN/Initialization/Initialization.ipynb +++ b/Improving_DNN/Initialization/Initialization.ipynb @@ -21,11 +21,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -71,10 +82,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 2, + "metadata": {}, "outputs": [], "source": [ "def model(X, Y, learning_rate = 0.01, num_iterations = 15000, print_cost = True, initialization = \"he\"):\n", @@ -152,10 +161,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 3, + "metadata": {}, "outputs": [], "source": [ "# GRADED FUNCTION: initialize_parameters_zeros \n", @@ -179,19 +186,30 @@ " \n", " for l in range(1, L):\n", " ### START CODE HERE ### (≈ 2 lines of code)\n", - " parameters['W' + str(l)] = None\n", - " parameters['b' + str(l)] = None\n", + " parameters['W' + str(l)] = np.zeros((layers_dims[l], layers_dims[l-1]))\n", + " parameters['b' + str(l)] = np.zeros((layers_dims[l],1))\n", " ### END CODE HERE ###\n", " return parameters" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "W1 = [[0. 0. 0.]\n", + " [0. 0. 0.]]\n", + "b1 = [[0.]\n", + " [0.]]\n", + "W2 = [[0. 0.]]\n", + "b2 = [[0.]]\n" + ] + } + ], "source": [ "parameters = initialize_parameters_zeros([3,2,1])\n", "print(\"W1 = \" + str(parameters[\"W1\"]))\n", @@ -254,12 +272,55 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { - "collapsed": true, "scrolled": false }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost after iteration 0: 0.6931471805599453\n", + "Cost after iteration 1000: 0.6931471805599453\n", + "Cost after iteration 2000: 0.6931471805599453\n", + "Cost after iteration 3000: 0.6931471805599453\n", + "Cost after iteration 4000: 0.6931471805599453\n", + "Cost after iteration 5000: 0.6931471805599453\n", + "Cost after iteration 6000: 0.6931471805599453\n", + "Cost after iteration 7000: 0.6931471805599453\n", + "Cost after iteration 8000: 0.6931471805599453\n", + "Cost after iteration 9000: 0.6931471805599453\n", + "Cost after iteration 10000: 0.6931471805599455\n", + "Cost after iteration 11000: 0.6931471805599453\n", + "Cost after iteration 12000: 0.6931471805599453\n", + "Cost after iteration 13000: 0.6931471805599453\n", + "Cost after iteration 14000: 0.6931471805599453\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "On the train set:\n", + "Accuracy: 0.5\n", + "On the test set:\n", + "Accuracy: 0.5\n" + ] + } + ], "source": [ "parameters = model(train_X, train_Y, initialization = \"zeros\")\n", "print (\"On the train set:\")\n", @@ -277,11 +338,28 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "predictions_train = [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0]]\n", + "predictions_test = [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]\n" + ] + } + ], "source": [ "print (\"predictions_train = \" + str(predictions_train))\n", "print (\"predictions_test = \" + str(predictions_test))" @@ -289,17 +367,28 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "plt.title(\"Model with Zeros initialization\")\n", "axes = plt.gca()\n", "axes.set_xlim([-1.5,1.5])\n", "axes.set_ylim([-1.5,1.5])\n", - "plot_decision_boundary(lambda x: predict_dec(parameters, x.T), train_X, train_Y)" + "plot_decision_boundary(lambda x: predict_dec(parameters, x.T), train_X, np.ravel(train_Y))" ] }, { @@ -334,10 +423,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 10, + "metadata": {}, "outputs": [], "source": [ "# GRADED FUNCTION: initialize_parameters_random\n", @@ -362,8 +449,8 @@ " \n", " for l in range(1, L):\n", " ### START CODE HERE ### (≈ 2 lines of code)\n", - " parameters['W' + str(l)] = None\n", - " parameters['b' + str(l)] = None\n", + " parameters['W' + str(l)] = np.random.randn(layers_dims[l], layers_dims[l-1])*10\n", + " parameters['b' + str(l)] = np.zeros((layers_dims[l],1))\n", " ### END CODE HERE ###\n", "\n", " return parameters" @@ -371,11 +458,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "W1 = [[ 17.88628473 4.36509851 0.96497468]\n", + " [-18.63492703 -2.77388203 -3.54758979]]\n", + "b1 = [[0.]\n", + " [0.]]\n", + "W2 = [[-0.82741481 -6.27000677]]\n", + "b2 = [[0.]]\n" + ] + } + ], "source": [ "parameters = initialize_parameters_random([3, 2, 1])\n", "print(\"W1 = \" + str(parameters[\"W1\"]))\n", @@ -438,12 +536,65 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": { - "collapsed": true, "scrolled": false }, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/vladislavovich_d/ml_course/Improving_DNN/Initialization/init_utils.py:145: RuntimeWarning: divide by zero encountered in log\n", + " logprobs = np.multiply(-np.log(a3),Y) + np.multiply(-np.log(1 - a3), 1 - Y)\n", + "/home/vladislavovich_d/ml_course/Improving_DNN/Initialization/init_utils.py:145: RuntimeWarning: invalid value encountered in multiply\n", + " logprobs = np.multiply(-np.log(a3),Y) + np.multiply(-np.log(1 - a3), 1 - Y)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost after iteration 0: inf\n", + "Cost after iteration 1000: 0.6247924745506072\n", + "Cost after iteration 2000: 0.5980258056061102\n", + "Cost after iteration 3000: 0.5637539062842213\n", + "Cost after iteration 4000: 0.5501256393526495\n", + "Cost after iteration 5000: 0.5443826306793814\n", + "Cost after iteration 6000: 0.5373895855049121\n", + "Cost after iteration 7000: 0.47157999220550006\n", + "Cost after iteration 8000: 0.39770475516243037\n", + "Cost after iteration 9000: 0.3934560146692851\n", + "Cost after iteration 10000: 0.3920227137490125\n", + "Cost after iteration 11000: 0.38913700035966736\n", + "Cost after iteration 12000: 0.3861358766546214\n", + "Cost after iteration 13000: 0.38497629552893475\n", + "Cost after iteration 14000: 0.38276694641706693\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "On the train set:\n", + "Accuracy: 0.83\n", + "On the test set:\n", + "Accuracy: 0.86\n" + ] + } + ], "source": [ "parameters = model(train_X, train_Y, initialization = \"random\")\n", "print (\"On the train set:\")\n", @@ -463,11 +614,28 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1 0 1 1 0 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 1\n", + " 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 0\n", + " 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0\n", + " 1 0 1 1 0 0 1 0 0 1 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0\n", + " 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1\n", + " 1 0 1 0 1 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1 0 0 1\n", + " 0 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 0 0 0 1 1 0 1 1\n", + " 1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1\n", + " 1 1 1 1 0 0 0 1 1 1 1 0]]\n", + "[[1 1 1 1 0 1 0 1 1 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1\n", + " 0 1 1 0 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0\n", + " 1 1 1 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0]]\n" + ] + } + ], "source": [ "print (predictions_train)\n", "print (predictions_test)" @@ -475,17 +643,28 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "plt.title(\"Model with large random initialization\")\n", "axes = plt.gca()\n", "axes.set_xlim([-1.5,1.5])\n", "axes.set_ylim([-1.5,1.5])\n", - "plot_decision_boundary(lambda x: predict_dec(parameters, x.T), train_X, train_Y)" + "plot_decision_boundary(lambda x: predict_dec(parameters, x.T), train_X, np.ravel(train_Y))" ] }, { @@ -518,10 +697,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 16, + "metadata": {}, "outputs": [], "source": [ "# GRADED FUNCTION: initialize_parameters_he\n", @@ -546,8 +723,8 @@ " \n", " for l in range(1, L + 1):\n", " ### START CODE HERE ### (≈ 2 lines of code)\n", - " parameters['W' + str(l)] = None\n", - " parameters['b' + str(l)] = None\n", + " parameters['W' + str(l)] = np.random.randn(layers_dims[l], layers_dims[l-1])*np.sqrt(2/layers_dims[l-1])\n", + " parameters['b' + str(l)] = np.zeros((layers_dims[l],1))\n", " ### END CODE HERE ###\n", " \n", " return parameters" @@ -555,11 +732,26 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "W1 = [[ 1.78862847 0.43650985]\n", + " [ 0.09649747 -1.8634927 ]\n", + " [-0.2773882 -0.35475898]\n", + " [-0.08274148 -0.62700068]]\n", + "b1 = [[0.]\n", + " [0.]\n", + " [0.]\n", + " [0.]]\n", + "W2 = [[-0.03098412 -0.33744411 -0.92904268 0.62552248]]\n", + "b2 = [[0.]]\n" + ] + } + ], "source": [ "parameters = initialize_parameters_he([2, 4, 1])\n", "print(\"W1 = \" + str(parameters[\"W1\"]))\n", @@ -626,11 +818,53 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost after iteration 0: 0.8830537463419761\n", + "Cost after iteration 1000: 0.6879825919728063\n", + "Cost after iteration 2000: 0.6751286264523371\n", + "Cost after iteration 3000: 0.6526117768893805\n", + "Cost after iteration 4000: 0.6082958970572938\n", + "Cost after iteration 5000: 0.5304944491717495\n", + "Cost after iteration 6000: 0.4138645817071794\n", + "Cost after iteration 7000: 0.3117803464844441\n", + "Cost after iteration 8000: 0.23696215330322562\n", + "Cost after iteration 9000: 0.1859728720920684\n", + "Cost after iteration 10000: 0.15015556280371808\n", + "Cost after iteration 11000: 0.12325079292273551\n", + "Cost after iteration 12000: 0.09917746546525937\n", + "Cost after iteration 13000: 0.08457055954024283\n", + "Cost after iteration 14000: 0.07357895962677366\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "On the train set:\n", + "Accuracy: 0.9933333333333333\n", + "On the test set:\n", + "Accuracy: 0.96\n" + ] + } + ], "source": [ "parameters = model(train_X, train_Y, initialization = \"he\")\n", "print (\"On the train set:\")\n", @@ -641,18 +875,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": { - "collapsed": true, "scrolled": false }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "plt.title(\"Model with He initialization\")\n", "axes = plt.gca()\n", "axes.set_xlim([-1.5,1.5])\n", "axes.set_ylim([-1.5,1.5])\n", - "plot_decision_boundary(lambda x: predict_dec(parameters, x.T), train_X, train_Y)" + "plot_decision_boundary(lambda x: predict_dec(parameters, x.T), train_X, np.ravel(train_Y))" ] }, { @@ -761,7 +1007,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.6" + "version": "3.7.1" } }, "nbformat": 4, diff --git a/Improving_DNN/Regularization/Regularization.ipynb b/Improving_DNN/Regularization/Regularization.ipynb index 0b00166..ee7fc70 100644 --- a/Improving_DNN/Regularization/Regularization.ipynb +++ b/Improving_DNN/Regularization/Regularization.ipynb @@ -15,10 +15,8 @@ }, { "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": true - }, + "execution_count": 2, + "metadata": {}, "outputs": [], "source": [ "# import packages\n", @@ -54,19 +52,21 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "data": { - "image/png": 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Ts3Pr3a9tva519c3D3RrlFYPMBTMbPpWhXYcwRo3rVk13UpLAHGDgiuuq927t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v2F7P73iqoV+/Guv5sU2mRTuG5bwILbRzftDmlbWmA6ucWgX9xyMTbbGRs/Wk20P78J7c5vHJWY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\nTAKWKaU6A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aVe55bEK97WxK8nYkseNfn5O3LRG/DmH0e2gOXedO1UXCWwhvhCWHAclCiCNCCCvwA3CJm+ueA14BXF/jdP4yjJ3U1e1ey1+9L1dExyAuubIfRqNStY9m8jUQFRvKpOk9vD5fSJg/Yyd3cw694nCm19xUa5NjF66YOwiT0fld2WhU6De4E52jG5aBqWmCxb/sdwl32mwqe3dkUpBf0aBxm4ITf+5n8bh7yVyWgCW/hKL9qfz5f2+T8OgnLW3aXxZvrOsjgfRqP2cAw6tfIEnSYCBKCLFIkqSHvDCnzllKXPd2TLu4F0t+PYhq1xBC4GNUGD0xlv6DO7W0ebVSXFRJSlIegUEmuvUI95hV2RAuurwf/QZ1Yv3qFCrLrQweHs2gYZ09FnYLIUhNKaAwv4IucWH1Lq+Ye9swOnUOZsmvByktMdMlNowrrxtMfG/3K62aiI4N458vXcD/vtxO8qE8/AJ8mDy9Bxde1qfeY53CYra5DWGDo8P4iexSwtr6N3h8b7Ll/g9QK5xDs/ZyMwff+YW+D1yBX3u9NU9z0+RBa0mSZOAN4IY6XHsbcBtAdLSeMXWuMvvaQYwYF8u2jWlommDIiOhWL7skhOD7z7ezemkiBh8FoQn8A408+NTkRteGVaeu4sX5ueW89sxKCvIqHHtRNpXzRnfhlrtG1VnlRJYlps7sxdSZvRprNgBd4sJ4+JmpXhkLHPtyJl8ft2UNdptGRMeak2aak7xth9wel40GcjcfJPriUc1skY43wpKZQFS1nzufPHaKIKAv8IckSanACGChJEkusQ8hxMdCiKFCiKHh4brS+LlAaYmZTWuP8Oe6o05JB5FRIVx61QBmXTOw1Ts2gLUrk1mzPAmbTaOywobZbKcgv4KXn1jhsWygqRBC8NozK8nJKsVitlNZYcNm00jYdIxff9zbrLY0JbIsMfPyvi6JIz5GhQHnRRIa1jpWbQA+AX5ujwshMIYGNrM1OuCdlds2oLskSbE4nNpVwDWnTgohioF2p36WJOkP4EE9W/LcZ/nvh/jxy+1VzS9VVXD97cMYO7n2bL7Whru9H4Qjy3PfriwGDu3cbLakphRQkFeBprl271656BCzziF1jwsv7Y3NYmfxAkd+mqZqDB/dhev/PryWO+uHpagMoar4tm3ToPu73zSdQx/9hmZ2XmUag/yJGN3XGybq1JNGOzchhF2SpDuBZThKAT4XQuyXJOlZIEEIsbCxc5xrpKbks3JRInm5ZfTu35FJF8QTGGxqMXtSknJZtTiRwoJK+g7qxISp3QkIbJw48JHDefz09Q5sNg2b7fTK5suPttI1PpxOUQ17iLQUJUXu86A0TaOooLJZbSkqqPC411deZkUIcc5k6EmSxKVXDeDCWX0pzK8gOMS3xiaq9aU4KZ31N7xK/vYkkCA4vjNjPnuI8PPq10R3yIs3k78rmfyERDRVQ/ExIJt8mLr4JSQPpRw6TYtX9tyEEIuBxWcce9LDtRO8MefZyroVh/n6023YbBpCEyQn5rH8t4M88/qMFtFbXP77IYcTsqoIAcmHclm28CDPvn4hIY0I+6xcnOhW91C1a6xZnsS1jRBNFkKwfXM6KxYdoqzUwoAhkUy7uBfBIe5DQ94gpmtbDu7NdnuuqWrfPNElLsyt6gdAx87BLeLYKiusrFiUyLZNafgYFSaeH8/oCbFe0+A0GhWv77FZispYNPpuLAWlVbUpRftSWTr5QS7d8ylBMR3qPJbBz8T01a+Tty2R3K2H8O/UlqiZI1CMrau85a+E/krRjFRW2vj6k21YLSriZEjJZlUpK7Xw7WfNH6UtLTHz45fbHfacjHBZrSqlJWZ++npno8YuKqh0W8umaYLiwsatdL77LIGP39rIoX05ZKQVsWzhQf55z+8UFjRdavgVcwe6pM37GBW692zf7HuGYe0CGDEmxkUGzGhUuOqGIc1qCzh+r596YDELf9rLsaOFpCTm8fXHW/nPK2sR7n4JWgkpXy3HXmlxKbrULDYO/Gd+vceTJInwYT3pfeelxMwaqzu2FkZ3bs3Iwb3ZyG5U0oXArURRU7Nv5/Gq/bDqaKpgx5Z0N3fUnf6DO7nVYDSZDPQd2PCU/5zjpaxZdthJUd5u1ygvs7CgAZqIdaVrfDgPPjmZmK5hSJKj4HzytHju/efEJpuzJm66cyQXzurrCB9LDrWSOx8e3yR7f0IIMtIKSdyfQ6UbsebVSxIpzK9wWqlbLHYO7M4m8cAJr9vjLfK2J7mk7wNoNjt5CYktYJGON9H1a5qRmmqipBZ4zZCVmuxpXGhr3JRuLP31AGqxGVV1vBkbDDJtQn0ZMTamwePu25kFbkxTVcHOrenceMeIBo9dGz36RPDM6zPqtKclhKC4yIyvr6FJlFcUReayq/pz2VX9m3SPLed4CW++sIb83HIURUa1a1x8ZX8uuvx0ksTWjWluRa8tVjs7t2a02sapIb27oPgaUc9IApEUmZBeXVrIKh1voTu3ZqRXvw5V4cjqyIrUIkro/QZ1qnI81TEYZIaNadwft3+AkWfemMG8r3eSsDkdSYLhY2OYfc1AjI3QBPQxKcgeHuTulE+agtocScLmY3zz8VbKSi0IAf0HR3LznSObLGmoqRybqmq89M/lFBWeCjE7HNjCn/YQ0TGIYaMdvyOevk9ZljD5ts5O6wDdb5zGnhe/c3FuismHPvfOrtMYQggKdiVTejSb0L4xtImPqv0mnWZBD0s2IyaTgVvvHoXRqDh6Xp08FhLqx9U3Nf9eiX+AkRv/MQKjUalaxZl8DYS18+fyawc1evw2IX7cfNcoPvh2Du9/M4frbx9OYFDjHvCDh0WhudnH8TEqrUK+6+DebD56YwOFBZXYbBp2u8bu7Zm89MTyVr3/5I69O7Oqer1Vx2pRWfjT6RDwxAu6uxUxVhSZkeNim9rMBuPXPpQLVrxGYEwHDAG+GAL98G0fwsR5T9dp5VZ5opCFQ//O4nH3suGmV/l14G2smPm4Yx9Pp8XRV27NzHmjuhAdG8Yfyw+Tn1dOr74RjBofi8m3ZTafR0+MIy6+LX8sP0xRQSV9BnZ0JCu0UsX1wCATt949ik/+swkhBHabhsnXQJfYMKZd0tvpWrtd4+DebCrKrXTv1b5ZpJrmf7fLJUSnqhq5OWUc2pdDr351z8BrafJPlLtd2QMU5J1O3hkxNpadWzPYnZCJxWJHUSRkRWb2tQPpGNm6Sz7Ch/Xk8pRvKD50DM1mJ7RvbJ1T91fPfprCfUcR1TJXj6/eyZZ732P0R/c3lck6daR1PsHOcSI6BjHn+sEtbUYVHSPbcPWN9RfLbSmGj4mhe89w/lx3lLJSK737d6DPgI5Oe5opSXm88dyqKvUQ1a4xcVo819w0tElT5bMyit0e1zSNzPRiF+emaYJD+7LJOFZE+4gg+g3uVGf5rJooL7OwfUs6VotK34Ed6dApuN5jRMWGetwnjoo5rZUoyxJ3PDiWlMQ8dm5Lx2gyMHxMTIPmbAkkSarXHpu9wkzB7hTytyc5OTYA1Wwl5esVjHjnLj1bsoXRnZtOq8FcaWPrxjROZJcSFRPKkOFRGHzc79mEtQtgxiz3yg8Wi53Xnl5JZYVzZt8fy5PpEhfGmImeW8jUldISM9s2HcNcaaN3/w5VepDt2gdSVlrgcr2iyIRHOMswlZVYePFfy8k/UYZd1TAYZPz8jfzzxfMJj2h4TdfWTWl88tZGJFmqUjEZN7krc28bVi/H3r1nOJFRbTiWWoi9WiG+0agw+9qBTtdKkkS3nuF063nuyubZzVY23/Ufjny7CiEEmsU1cxRAaAJbaQVKA9VOdLyD7tx0WgXpqYW89K/l2O0aFrMdk6+BH/67nSdfnV5vDcEdW9Ld7m9ZLXaWLDjQaOe2bVMaH7+1ESTHilAxyAwc2pl/3D+GS+b054PX1ztJdcmyRECgiX4DOzqN89m7f5KdWVLVgdtu07BYVP7z8lqee3Nmg2wrKqjgk7c2uoRGN6w+Qs++HaqSQOqCJEk8/MwUvv54K1s2pKEJQXj7QObeNox4Dz3azmXWXfsCGUu2uiSgnIkpLAhT2Nmxaj2X0Z2bTosjhOCdV9ZSXnb6oWEx27FZVT59ZxMPPTWlXuOVFJk9ihm76wpdr7GLzXx8hvNQVZVdCRmsXZnMxAvimXP9EH76agdIEqqqERnVhrsfneCk1mEx29izI7PKsZ1CaILszBJyjpc2SJFj8/pUt47dYrGz/PeD9XJuAH7+Rm67dww33TkKu01tdQ1lm4uy9BNkLNmCana/WjuF4m9i6Cu3njPyZ2czunPTaXGyMordqotomuDg3hwsZlu9Em669miHIsvYcXYckkSjVxzbNqW5PW61qKxanMjEC+KZcmEPxk3pxvGMYvwDjC7hSACLRXVbrwcgK7LbNi91obzU4qTl6XSuzHVMc6WN1UuT2Lw+FYOPzITzuzN6QpzLvp/BIGNwU/D/V6EkMR3FZPTo3CRFJiiuI0NeuJmYy8c3s3U67tCdm06LY7WoyLLMqTqqM7HZNEy+dR+va3w74uLbknwoz0mD0WgycFkjFfPNlTaX1dYpqqt3GI1KjbJcQcEm2rTxIz+v3PWkEEQ2sHt1r/4dWPb7IZcmnwaDzIAhkU7HLGYbzzy0hNwTZVXqIhmphWzbmMbI8bEsXXCA4mIz3Xu157Kr+nu1b93ZRlBcR1Sre8dmDA3imrxf9NVaK+Ov+yqmUyNJB0/w/KNLuXXOd9x/63xW/H7QpcWKt4jqEoKn50L7iMB618ZJksT9T0zmgot7EhhkwuAj07t/B/754gV0bqDTOEXv/h3dSpYpisTAoZFu7vBs49zbznNZDRkMMldcN9itdFld6NWvA7Hd2jrdLysSfv4+LqUSf6xIJq+aYwPHinL/7uN8/u6fpB0tpKigkoRNaTzz0BLSjrgmyvxVCIrrRMTofsgm5wiCwd+Xfg/P0R1bK0Rfuem4cGhfDq8/u6pqXyk/t5wfv95JVkZJvftoVVbaWLcymZ1b0wlq48vk6T1c5JgMPgpzbxvGfz/YXJWIIckSPj4yNzRQTstoVLhi7mCumOvdkovYbm3pPziSPTsyq2xVFAn/ACMzL+9Xr7EsZ/aHO4m5ln2dmpAkiQefmszSXw+wdkUyVoudQcM6c8mcAYSEOndN2LrBvWyWqgqn+jYhHHug33+RwKPPne92XrtdY8v6VP5cdwSDQWHM5K4MHhZVo+RcdfISEjn47gLKjuXQacoQetw+s8G91VSrDaFqGPy8qwgzcd5TrJv7ElkrtiMbDWg2lV53XUq/h+Z4dR4d7yC1VtWEoUOHioQEvZ9pS/DUA4tITXF9S/fxkXnto8vqnL1YVmLhqQcWUVJsdjxEJYfTmTmrL5fM6e9yfdLBEyyav4+crFK6xIVx0eV96dwl1M3ILYumavyx4jCrliRRWWFj4NBILrqiX72yOjVNcN/NP1PkpkOCyWTgna+ucKv64U1efXIF+/e4b+PjDoNB5rN517oct9tUXn5yBceOFFYJWpt8DQwYEskdD46tdVWT+Okittz7niMLURMofkYMAX5cnPABgdF116WsOJ7Ppn+8RcaSLaAJwgZ2Y9QH99JuaI86j1EXKnMKqDheQHC3SHwCm67Nko57JEnaLoSotTBXX7npuJB2tNDtccWgcCQpjyEj6qaD+etPeygqrDyduXiyc/Vv8/YxZlJXl/518b3aE//PSY2yvTmQFZlJ03owaVrDH5plJWbKytzLNMmyRFZ6cZP3iZtwQTzJiXlOHRZqwpNqzZ/rUkk7UuBU/mAx29m9PZODe7Pp3b+j2/sArCXlbLnnPdRqklVqpRXVYmfbgx8y8cen6mSbarHy+8g7qcjKR9hPRhy2J7Fk0v1csuNjgrvVPWRcG34RYfhFNG+bI536o++56bjgsdOxEAS1qXtmx9aNaW5T8iUZdrdAi5/WhMnPBzwETeyq1mgNzrowdGQ0g4Z3xmRSkCTH3pyPUXErQO3jIzN+ivv6wI1rjzg5tlNYzHa2bnSfXXqK46t3Irsr1Nc00hdtrtsHAVJ/Xo+loLTKsZ1CNdvY++oPdR5H59xBX7npuDBpWjzLfjvo3ElbgoAgE9161F2BwtNThKMtAAAgAElEQVR+i1TDuZagpKiSgvwK2ncIwj/A2CxzmkwGhoyIZvuWY07qH7IsER0T6rZ8wNvIssTf7xtDSlIeO7am42NQGD42hsoKK689vQpNc2h3GnxkusSGMuuagW7HUTx9zxK1duKWajhfV41HcPRms5e5hniFXSV3y8E6j6Nz7qA7Nx0XLruqP5nHiti3+ziyLFU153zwqcn1ckqjJsSx7NcDLnVXmgaDhnm/qWZ9sZhtfPTWRnZvz8THR8Fu1xg/tTvX3jSk1oeyN7jxjuHk55Vz7GhB1b5UWFt/7nq0+eqkJEmiW49wl5eWtz+fzfYt6RQXmuka347uvcI97p2NndyVwwdzXcKbPkaFUbV0Beg0eTDCTWmFZFCImT2uzp8jOK4jir/JtfmoJBHUteHNcXXOXvSEkmakvMzC+lUppKcW0jk6hLGTuzVZjy9vkJVezJHkPEJC/ejdr0O9H/iVlTaef2QpuSfKsJjtyLKEYpC5+sYhTJ7u3U3+hvDWi2vYtzPLyfkaTQrTLu7FbC+0/KkrR5PzyUwvIrx9IPG929crrTwzvYjC/AqiY0IJDmmZ5AZN1Xj7pT84uC8Hi9mOJIHRaGDMpDiuu7327NrUn9ex7rqX0ewqwmbHEOCLqW0wF219H7/2dUsoshSW8lPMNdhKncUAFH8TFyx/jYhRfRr02XRaH3VNKNGdWzORmV7E848uw25XsVpUfIwKBoPMY8+fX2Ox79mO3aaybdMxdu/IJDjYxLgp3VpFBmRhQQUP3v6LU0jwFL6+Bt7/do5X1PmbiqKCCt54fg3HM4tRFBm7TWXMpK5cd9uwGl9CsjKKWbMsicK8CvoM7Oi1dkuaJti3K4utG9JQDDKjJ8TVuNo7k5KULJI+XUT5sRN0nDSIuKsnYfCvR+U+kLv1EKtnP4W1uBxJlhBCMPKdu+h23QUN+Ug6rRTdubUynrjvd46lFrokEXToFMzL712sF4E2M4cPneD1Z1e7dA4AMPjIvP355c2S1NEQhBA8cd8iMo8VORXWG00KF1/Rj4s81NttXHOE/36wGbtdQ9MEJpOBwGATT//7QoLrkSjUWsnbkUTxoXQAAqPb03ZoDwy+zbOHqtN8NGspgCRJ04C3AQX4VAjx8hnn7wduAexALnCTEKLmNKpziOKiSrLSi91mxxXklZN3oqxRLU4ayoE9x1n4416ys0roFBXCpXP6E9/7r6H2HtExGLvNfRG10WjA39/9aibvRBm//m8P+3Ydxz/QyJQLezB+avdmTZA5drSQE8dLXRRjrBaVpb8edOvcKiusjiJ5JzUSO/YClZ++3snNd45scrubCktBCcunP0bRgVQkWUZTVcL6xTF1ycu6c/sL02jnJkmSArwHTAUygG2SJC0UQhyodtlOYKgQokKSpH8ArwJ/mbJ+VRWeV2aShGpv/tXzprVH+OL904oghQWVHD50gr/fN6bOdWwthd2msmj+flYvTcJcaSO+T3vmXDe4XuHO4Da+DB8Tw9aNziodRpOBi67o6za0l5tTxpP3/4650o6mCQryK/ju8wSSDpzg9vvGuFy/d2cW877ZyfGMEkLb+nPxFX0Z7YVecvl55ciK+9+nsjILQrj+vu3bddztPaoq2LYx7ax2buuue4mC3clo1tMJLfk7D7P+hleYsuC5Wu835xWT/tufaHaVztOHEdC57hnBml0lc3kCZUePE9ovjoix/RoVhRFCkLctkbxth/CPbEfnC4frTU8biDdWbsOAZCHEEQBJkn4ALgGqnJsQYk216zcDf/PCvGcNoWF+hLXzJ+d4qcu5gEAjEZ2ad9WmqhrffLLNpTbJalH56qOtDKqHbFJL8J+X13Jgb3ZVqcKeHVkk7j/BU69Nr5e47413jMDXz4d1K5MBUAwyMy/vy/QzNBhP8cv3uzFX2tCqbdNZLSoJfx5jxuwiJ93KUz3fTjnO7KwS/vvhFgryKzyGDc/EVl6JOacQv07tnFYg0TGhbvcKASI6BLl9uDp2H9x/p8JTwd1ZgDmvmKxVO50cG4BmtZO5bBuWwlJMoZ7/vpI+X8LmO/+DpMgIIdhyz7v0f+waBj4xt9a5S48eZ8mE+7AWlaPZ7UiKQnD3SKateh1TSP1LOewVZpZf+Bj5CUkITUP2MaD4+jBt1euE9q0561THFW/smEcC6dV+zjh5zBM3A0u8MO9ZgyRJ3HL3KEwmA8rJt2dZljCaFG69e1Sz77dlZ5V47HdWUW6lMN+1/UxrITUl38mxASeVT+zM/253vcY6pWn53jdzePXDS3n3qyuZOauvx+9j784sJ8d2enrBwb2nZayEEHz7WYKLbqPVorLwp71YatGOVK02Nv3jTb4Pn8WCAbfyffhlbP/X54iTk7drH8jg4Z1dxJWNRoU517vX0uwzoIPbbgayLDFkeNOs1IUQ5Gzcx67nv+HAuwuoPOFe+aYxWPJLkH3cv6PLBgVLfonHe4sT09l8139QzVbs5WbUCguq2creV37g+Jqdtc696rInqcjMx1ZagVppxV5WSdH+VDb9/c0GfZaExz4lb+sh7BVmVLMVW2kF5txiVsx4rOq716k7zZoOJknS34ChwGsezt8mSVKCJEkJubm5zWlakxPfqz3PvTWTidPi6d4znPFTu/HcGzPpM8CzNFFT4efng+ahbYumCUy+rbP80WKx88V7m50d20mEgMT9OQ0a12hUCA3zr7VfmZ+HfThZlp3OlZdaKfXQFFVRZDKOFdU4z6bb3yT5qxVVD117uZn9b81j17NfVV1z271jmHxhD0y+BiTJ4fBuvXe0x5ByQKCJa28eitGoIJ1clRuNCkFtfLnyOu+XPWg2OytmPM7yaY+w8+kvSXjkY36KvZbU+eu9Ok9gbIeqz3MmskEhsItnbcqkz5egudl3tVeYOfj+whrnLU5KpyQ508XpaFY7xxZsxF5Lt253HP58idsu35aiMr0QvQF44ymWCURV+7nzyWNOSJI0BfgnMF4I4VZUTwjxMfAxOLIlvWBbqyKiYxBzbx3W0mYQ1i6AqJhQjqYUIKolJciyRHyv9q02S/DjtzaSnub57b+pawYnTYvn5+92uYRzhRAMGX76T8Doa/DYiNRu1wgK9pyZaM4v5uj/1rg85NQKC/venMeAf/4N2ceAwSBz1Q1DmHP9YOx2DR93ElZnMPGCeGK7tWXV4kQK8ivoO7Aj46Z0JyDQ+0kXB95dQPa63VVF1ae0I9fNfYmOEwZgCgv2yjyK0YdBz97Ajsc/x15x+oVC8Tcx+PmbPK7qAMy5RS5yXVXnalllWgvLkA2Khw6EArXC7BRKLjqQSvI3K7GXVRI1cySdpgx2UmARQmA/swD9JJIkYSlw3dLQqRlvOLdtQHdJkmJxOLWrgGuqXyBJ0iDgI2CaEOKEF+bUqSNWq8ruhAxKisx06xleVVN3x4PjeOGxpVRW2rBZHXV3QcG+3Hbf6Ca1x2Kxs2tbBmWlFnr0bl/nJJCiggp2J2Q4tWKpjtGkcMFFvbxpqgtTZ/bk0P4c9u8+jmoXGAwyAsFdj4zHz//0g8xoVDhvZBe2bXLW1pRlic7RIbTv4HkPqOxoNrLR4PYNXthVzHnF+Hc8LagsSVKdHNspYrq25ea7RtX5+oaS+OFvrmohOFoZpS3YSPxN0702V5+7Z2MKa8OuZ76kPP0EgV0iGPj0DXS9umYR7sgLziN13joX2S7Fz0jURTUn2IT2i3WrrALg36kdxmr7fPte/5EdT36BZlMRdpXD/11K+1F9mfrbC1XOV5Ik2g7pTn5Ckst4mtVO+PCm/d0+F2m0cxNC2CVJuhNYhqMU4HMhxH5Jkp4FEoQQC3GEIQOBn07uZxwTQlzc2Ll1aiYlKY9/P7MKTdNOZmxCr74duPvR8YRHBPLvj2exKyGDnKxSOnUOpv+QyCYtXE7cn8Obz69BcLpf2Km2KLXNm3uiDIOP4iLldYqhI6MZP7W7122ujqLI3Pv4RI4m53NwXzYBAUaGjuziduVz/d+HkXuirEpaSwLahPpxdy3SWoFdItAs7vfkJEXB1NY7K56mxl7uPiyr2VUXFRF3CE0jc9k2crccwq9jGLFzJtaYpNHtb1Po9rcp9bKxy2Vj2PPitxQnZVT9m8s+Bkxtg4m/ZUaN9xr8fRn07A3sfOILpxWX4mdixH/urNq3LUnOZMcTXzi9rNjLzORs2EvS50voeftFVceHv/l/LDv/YacOCQZ/X3rddRm+7RrW2+6vjF7EfY5it6ncfeM8ysucVwBGo8KFs/pw2VUDmtUei8XOPTfMo7LS+cFtNCnMvmagS5foMykuquT+W+e7VxTxM/DBN3OaRQ+yvhxNzicjrYjwiEB69KmbtNbav71I2i/rUStPf3eKv4ned89i6Iu3NKW5XmPj7W9w+IulLmE/xc/ExdveJ6R3jMd7rSXlLB5/H6UpWdjLKh1KJYrE+YteImJM/RrC1oattILdL31HylfL0VSNmNnjGPjk3DrLfqXOX8/u57+hPP0EIX1iGPzsjXQYd7pX4Z6XvmPn01+i2VzbCrUdEs/F2z5wOpa77RA7nviC/O1J+EWE0u/hq+g6d6ou8lANvZ/bX5z9u7PdZsdZrSqrlyY1u3PbnZDpNuXcalFZsSixVufWJsSPoSOi2b4l3SmhxGhSuOjyfo1ybJqqsXVTGutWpqBpGqMmxDFqXCyGeoT7PBHbrW29+7KN/vRBZIPC0R//QPYxoNlVet5+EYOfu7HR9jSGinIra1ccZv/ubELb+jPlwh4epeMGPjmXtPnrsZaUI04mbRgCfIm5fHyNjg0g4ZFPKD6YVpXef2ovbeWlT3D18Xk17qPVF58gf4a+eEuDXxpiZo0lZtZYj+dVqw1Ndb8zp1pcQ8/h5/XkgqWvNMgWHWd053aOUl5uwdOi3FxZcyp6U1BeZkHzsF9WWVG3zLJb7h6F6eOtbPrjqKMOT4ILL+3NjFkNF8XVNOEQ/d2bU6VqfyQpn3Urknn0ualecXD1xeBrZOx/H2HYW/9HZVYeAdERTdbx2WK2sWbZYTavT8XgIzPh/O6MGhfr8rJQWFDB0w8spqLcitWqIskSm9cd5W+3nuc2HBwQGc6luz9hzys/kLF4C8aQQHrfdRld6xA6TPl2pUvdGoCwqWSv3U2nKUMa/oGbmagZI9j72v9c9h8VXyNxV7X+xrxnM7pzO0eJ79XeY7p/fK/GSWwlH8rl9/n7OJ5RQpe4UGZe3o/omJrDOD36uE/JliTo2ddzunZ1fHwUbvq/kVx781BKii2EhPnVK5nCHXt3ZDnU7Ku1a7FY7Bw7WsjmDamM8YKiSEMxhQQ2qBi4rlgsdp55eCm52aVVNXlpRwpI2HSMex6f4BQK+/HLHZQUm6skv4QmsFpVvv5kG+eN6uK2D55/p3aMePtOePvOetnlLpkGAAlsbnq2tWbaDe1B7BUTSJ23tmofUvEzEdC5Hb3uvLSFrTu3aX2bFDpeoV37QEZP7IrRdPrhL0lg8jVw5XXuC33rwpYNqbzy1Ap2bssgO6uErRvTeO6RJRzYc7zG+zp1bsPgEVFu7bn8b/WrszL5+hAeEdhoxwYOJRGL2XWVYLHY2bzuaKPHbwzHjhbw+rOruP3q77nv5p/5/ed9bkPNDWXt8sNOjg0cYeIDe7OditIBtm9Jd9GyBFAUif27a/7u60v1PavqaFabx3PeoKnyD8Z8/hBjv3iYjlMGEz6iF4OevYGLEz7EGBzQJPPpOPjLrNxsNpXKChuBQaZWLS3lTa7/+3BiuoaxdOFBykosdO8VzuXXDmxwyxlV1fjywy1OdV5COB6IX7y/mVc/uLTGje/b7xnNqqVJrPj9EOVlVnr2jWD2tQPp1LnlMsEUg4wk4TaEazA0f0jyFMdSC3n+sWVVjtdcaefXH/eQmpLPnQ97p5nplg1pLioqABazne2b0+nd/7TAgOfvVfJ6ssOwN+9g8Zi7sVdYqtLtDQG+9H/8Wq/Vx1Xn2MJNbHv4I0qSMjCGBtH7nlkM+Oe1yIp3vn9Jkoi5fDwxlzdfE1qdv4Bzs1pVvv98G+tXH0EIgZ+fD5f/bRATzm/atPHWgCxLTLwgnokXxHtlvMxjRR5XDgX5FZQUm2lTQ8NMWZGZOqMnU2f09Io93mD0hDg2rT3iUpht8jUwZnLLhSTnfb3TpbO11aKyKyGTzPSiemloeqL6Kro6suwQkK7OeSOj2bT2iEudoaZq9BnoXZWdsH5xXLzjY/a8+C05G/biH9mOvg9cSdSMEV6dByDt142sveaFqvR7a2Epe1/9gfK0HMZ89pDX59NpPs555/bhG+vZsz0L28mMrVKbhW8/24bBIDNmUss9vM5GTL4Gj0khQuCVMGFzkptTiqpqDB8Tw5YNqdisKgIwmQwMGBrJ4GFRtY7RVBw+dMJtiyRJgsMHc73i3Cac352UxDwXJ2owKIwc7yzUe+V1g9i/5zjlpVYsFkdXdYNB5oY7RuDn533V+uCunZrFuWx76EOnujJwqMEc+X41g5+7Ef9O7ZrcBp2m4Zx2bnknypwc2ymsFpWfv9ulO7d6EtExmHbtA8nKdO5NJ8sS3XuGu00qaI2UlVp455W1pCTlYTA4ulj3GdiJtuH+CE0wbHQMPftGtGhtkX+AiYpy16xWWZa8JjN23qguJGw+xu5tmVUOSzHIzJjd1yVBKDjEj5feuZiNfxzhwJ7jhLUNYOIF8XSKOnuLi4WmUZqc5facbPKhYHeK7tzOYs5p55aZXozBR3ZxbgAFeRVoqtYqC39bM3c9Mp4XHl+KzaZhMdvx9TPg5+fDbfc0rWyXN3nnlbUkH8rFbteqauYO7D7O+Rf15Iq5DU+28Sbnz+zBvG9ddSwVRWbAEEfTjYL8CvbsyESRZQad17neTk+WJe54YCyHD+WyfXM6PkaFEWNjnFr3VMfXz4fJ03sweXqPhn2oVoYky/i0CcBWXO5yTthU3bGd5ZzTzi08IhDVQ2uXwCCT7tgaQKeoNrzxySy2bjzGiexSIqPbMGRE9FkTkjyRXUpKUp5Lyx+r1VFMPvuagU36e1FaYmbl4kT27siiTagf58/sSa9+HVyumzqjJ6kpBWz78xiy5NBkVBSZB56cjI+Pwq//28PCeXtRZAkkiS8/2sL1tw9j7ORu9bJHkhxi2Y0tDzlb6X3npex7Y55TaFJSZIK6diRsgGtkRwhBxpKtHHr/VyyFpURfMpqet8/E2KbpSjZ0GsY57dw6dW5Dl7gwjiTnOzk5o0nhwstqVsRoCirKrWxYc4T01EIio0MYMzGuTgr8Qgj27z7O9i3pGI0Ko8bHeVSGaA5Mvj6MbcFki8aQn1uOwSC7bZtjs6lYrSq+fk3j3AryK3jq/kVUVlirNDL37cri4sv7cdEVzrJSsiJz+31juGROCUkHTxAUZKLfoE4YfBQO7s3m9/n7sNs0qu+WffnRVrr3bE+HyKbVn7SVV3JswUbMucW0H92H8PNaT4JQfRn41PWUpmaT9vN6ZKMPQlUJjO3I1MUvub1+64MfkPTxoqqatYJdyRx6/1cu3v4hvm3P3hDtucg57dwA7v3nRN59dR3Jh3Ix+MjY7RqTpsUz/dKGq1o0hKyMYp5/dKnjAWpRMRoVFvywm8dfOJ/oWM+OSlM1h4LGvhwsZjuSBKuXJDH90t7MumZgM36Cc4NOUW2wuwlTg2M135S97OZ9s5OyUotTvZjVovLrj3sYO6UbIaHOmabmShv7dmaxZ0cWbUJ8CQnzJ7ZbW1YuSnQJV4Ljd2XdquRG1THWRs6m/ay48FGEEGhWO7Ki0H5MX6b8+hyK6ezYc62ObFAY//XjlL14gsLdKfhHtiNsYDe3+63FSemObgfVND/VSiuV2YXsfeUHznv19uY0XacWznnnFhhk4tHnppKfW05RYQUdOrVpkv5VtfHRmxsoL7dWJWJYrSpYVd5/fT0vv3uJx/s2rTvqJA0lhOPeJQsOcN6oLkTVogyi40ybED9Gjo9l87pUpxovo0nh8msHNmkSyc6tGW4LoWVFZt+uLCc1lNISM089sJjSEjNWi4okweb1qVxx3WBKit2rdKiqoKTIvRq/N1AtVlbOfAxbyWlVfw0bOev3sufl7xn01PVVxzPSClm84AAZaYVExYRy4WV9vJLhWZ3yjFz2vfET2Wt3E9glgj73XU6HsQ0r8g6Mak9gVM2h2YzFW536H55Cs9pI/WmtR+dmKSjhyA9rqMjKJ3x4TzpfONxrNXQ6njnnndsp2oYH0Da8ZRQBiosqHd2X3aR2550oJzenlPAI9z2+1q5IdknVBkfTy83rj+rOrQHc8I8RBAX7smpxIjabSmCQidnXDqTvwE588f5m9u7Mwj/AyNQZPRg7uZvXiv4Vxf04koRLF/Bfvt9NUWFlVTj91EvNj1/uYPqlvTiaUuASWjX5Gug3uJNXbHVH5vIEtw93tdJC4oe/VTm3vTuz+M/Lf2C3aWiaID21iK0b07j38Yle6zxfdOgYv4+8E7XSgma1U7ArhczlCZz36u30usPzy2JjkH0UpwajTueM7h+l2ev2sGLm4whNQ62wYAj0IzAmghnr39b36ZoYPaOiGVDtmscVgSThktxQHU8hNCEEdnvrbFfU2lEUmSuvG8wH387hvW/m8PzbMzm4L5v7b53PH8sPk59bTnpqId98uo1P3t7otXlHTYjD4OP6J6epoioD8hRbN6a5TYaSFYmQUH8CA41OztLgIxMeEciQEdFYLHZ++nond9/wE/+49gfe//d6cnMa38nZWlTu1rnBac1HIQSfvbMJq0WtWqVqmsBqUfns3T+9JnG15Z53sZVUnBZYFgK1wsK2hz7EWuKa/egNuswa61bKRvEz0t1N81XVamPVZU9iL6usEk62l1VSkpTBtkc+bhIbdU6jO7dmILStP6Fh7pU7AgJNdOjkOQFg5LhYjEbXEIbRaGDIiJYrMvYG5kqbS3+35pxLVmQk4OkHl/DnulSXe6wWlYQ/jzlW3V7gsqv6E9EhqGpfTzHI+BgVbrl7lFMn79ow+Rl45o0ZjJ/aneA2voSE+XHBRb3418vTkGWJV55YwbKFByguMlNRbmPrxlSevH8xBfm1NwmtiQ7j+iPsrlEEJImIk5qPJ7LLHOF3N5QWm8k74R3Hc3zNLreORvYxkLN+r1fmOBP/jm0Z9sY/UPxMSCezgw2BfoQN6Ebve2a7XJ+9djfCTbsbzWrnyLermsRGndP8ZcKSLYkkSdxy1yj+/exq7HYVTRXIikPh4Za7Rta4zzP+/O6sW5VMzvHSqiQCk8nAwGGd6d4zvLk+glfJzirhs3f/JCUxF4Do2DBu+r8RNSbWNJSs9GI+e/dPjibnARDTtS033TmyqpZr4x9HKC0xuw0ZA2hCcGD3cY+1X/XBz9/Is2/OZMeWdPbvPk5IqB9jJnUlPMI1PDV8bAxrlh12Wb2dWuUFBfty/d+Hc/3fhzud37szi4xjRU4dy4Vw6EUu+WU/195yXoPtD+wSQbcbp5Py5fKqHmvIEgZ/X8575TYAfHxkhIdAhBACHzcr14YgGxRUu/uohmLyvmLKKXr+/WI6ThxE8lfLsBSW0XnaMDrPcL+HZj+jzU113LX00fEuunNrJnr0ieC5N2ewbOFBUo/kE9UllGkX965V4cFkMvDkK9NZvzqFzetTMRoVxk/tztCR0S2ioJGfW87Bfdn4+vrQf3AnFw3C2igvs/LcI0soL7NWvXgfTc7nhceX8dK7lxDW1t9rtpaWmHnu0SVUVNiqnFfK4Tyef3Qpr75/CcEhfuzZnuk28/AUiiLj6++9h6XBIDNsdBeGje5S43WXXTWAPdszKS40O8ldXX3TUIKCfT3el7g/x22XA1XV2LvLvRpHfRj57t20GxLP/rfmYcktJmJcfwY9cwMhPaMBCGsXQESnIJc9ZkmCyOgQQsK88/3GXD6Oo//7w6XDtVRtFdlUtOkRxZAXam9u2mFsP/dOTJLoML55mwX/FdGdWzPSoVOwy5t2XTCaDC2uDCGE4IcvtrNySSKKIp90rIK7H51QrySB9auSsVpVl4iS3aaxcvEhrvSiQsiaZYcdK5jqcwnHPuaaZYe5ZE5/QsL8kGTJ416S0ARDhkfXOM/R5HyW/nqA7KwSusa3Y/qlvT0mCNWVwCATz799EX+uO8qe7Zm0CfFj4gXda13dBrfxxceouK3jC27j2SnWFUmSiL9pOvFu9phOcceDY3nhsWVVZS8mkwEfo8zf7x/T6PlPMeyNOzjx5wEqcwqxl1Wi+BqRZJmJ855GMTbdyq0+mMKCGfT09ex69uuqla5kUDD4mRj25h0tbN25j+7cdOrE1o1prFl22FE4XC3k9faLf/DmZ7MICKyb9NOR5Hy3KyW7XSMlMc9b5jrmOpznoVhbIyXJMdekaT3Y9MdRt61ffHxk7nhwbI2lI1s2pPLpO5scossC0lML2bDmCI89fz6x3do2yn6TycCEqd2Z4KbTtSdGjI3hp693uh3rgot6NcqeuhIZFcLrH1/GprVHyUwvJqpLCCPGxXpVYNm3XRsu2/85afPXk7NxH4HREcRcOYH8hEQOffQbEWP6EdonxmvzNZR+D19FaP849r3+ExWZuUSM60//R64mKNa7nRR0XNGdWyPISCtkV0ImiiIzdGS0272Tc4WlCw+6LUkQCLZuTKtzW51OkcGOYnqb88aMLEte7+vWMbINewxZLvtWiiLRsbMjiadLXBhX3TiE7z9PQFFkVE2g2jWGjenC3FuG1ajXaLc5+thVd9aqKlBVO//9YDPPvD7Dq5+nLgSH+PF/D4/jvdfWIcsSQjiKuydfGM/g4bUnIKlWG8d+3UTxoWMEd4+ky2VjGlSc7edvbPJIg2L0Ie6qScRdNYkTmw+wcOCtCE2gqSoIiJoxnPHf/Qu5BfvyAY59uWnDWtSGvyK6c2sAQgi+/mQb61cmo6qONJ/kQK8AACAASURBVP+fv9vF7GsHMv2S5pf1ckd5mZWNfxwh81ghnbuEMnpCXKNU+0uL3RcH26wqJR7OuWP8+d1ZvOCAi3Mz+MhMneldGadJ0+JZuTjR1bkZZKcH7+TpPRg2ugt7djj2pAYMjqyTCHHqkQK3TU7B0WzUXGnDtwnawdTGwKGdeee/V7D75H5i7/4d6lTjWZaWw6Ixd2MtKcdeVokhwI+t93/AjA1vExTXdPVzjUW1WFlx4WNYzxBATl+8hf1vzaPfg3NayDKdlkQvBWgAuxMy2bAqBatVRVVFlbr8/G93kZFW2NLmkZ5ayIO3z+enr3fwx/JkfvxqBw/e/gtZ6cUNHrNXvw5ui5mNJgM9ekfUeZzQMH8eeGISIWF+mHwN+PoZCAwycedD472+cmvXPoDJ07tX2S1JEBBo5J7HJtC+g/OeWFCwL6MnxDF6Qlyd1fUNBtlj3ZYELSrM7evnw/AxMYyd3LXO4gXr5r5IZXYB9tJKx95kWSWVJwpZc9VzTWZn/q5kVsx8nO/CL+PnXjeQ+MmietfCZSzZWtWxuzpqhYWD7y7wlqk6ZxleWblJkjQNeBtQgE+FEC+fcd4EfAUMAfKBOUKIVG/M3RKsWZbkUTVkw5ojXHXDkBaw6jQfvL7eqReY1eIQBP7wzQ08+0bDQmUXX9GXbZvSMFfaqlYrPj4KXWLD6NGnforyPfpE8Oans0lPLUTTBF1iQ5vEEfzwxXbWLDtcVUwshEMc2dfXO6up6Ngw/P2NLtmJsizRq18Ht/WJrRVzbhG5WxNdnYQmKNqXSnlmLgGR3i09yUtIZMmE+7FXWkAILPklbL3vfQp2JzPy3XvqPI4lvwShua8/sBY1TUF3dcrLrKxaksjOren4BxiZNM0RAm7JfoA6Xli5SZKkAO8B04HewNWSJJ0Zm7sZKBRCdAPeBF5p7LwtSUWF+8JjTRNUeChgbS7yTpRxIqfM9YSAzPQiigoaVsgbHhHE069dyODhUfj6GQgO8WXaJb146JkpDfojlmWJLnFhxHZr2ySOrbioklVLEl1eQqwWlW8/T/DKHLIscecj4/D1M+Bz0pGZfA0Et/Hlpv8b2eBxK8qtzP9uFw//YwGP3vkri+bvc5vw4k3sFRYkD9+DpMjYy7yvWbn1wQ8dWYTVVmr2CjOHP1tCeUZunceJGNvP7coNSSJibD/X416krMTCE/f+zsIf93LkcD77dh3nozc38vXHW5t0Xp3a8cbKbRiQLIQ4AiBJ0g/AJcCBatdcAjx98v/nAe9KkiQJb2nxNDNDRkSTmpzv8sAx+RoYdF7nFrLKgWMP0P05SZJQ1Yb/k3eIDObuRyc0+P7mJCUxD4NBcSpmPsXR5HyvzdOtRzivfzSLDWtSyMkuJbZbW4aPicFUz/q/U1jMNp5+cDEFeeVVtv/ywx4SNqfzr5cuQGmiUGdAVDim0EAqKl0LjxU/E4UH00h47FOEXSXumknEXD6+0YkauVsOuj0uGw3kbNxH3JyJdRqnTXwUXWaNJW3BhiqZKyQJQ4CJoS/VXo/WGBb9sp/i4kqnPWSLxc76VSlMubDnWd2p/GzHG38pkUB6tZ8zTh5ze40Qwg4UAy550pIk3SZJUoIkSQm5uXV/c2tuJkztRmhbfye1BaPREaI7UyOwuWnfIchjWn5IqB9h7bxXJN2a8Q80IjzIjvj+P3vnHRbF2fXhe2a2UgQBRVEUG/bee4+9xRITkzfJl967edOL6f1NL6aYmKgxRWPX2HvvgoigFEV63zoz3x+rxHV3cYEF0XBfV67A7sw8DyvMmec85/x+Pra1CailZ+SENtx6T08GDG1e7sAGsGntSXKyi52Css0qk5qUy/5dKb6YrlsEUaTPl48h+em5+OlINOqo1aIBm295k6RFW0heup2td73P6hEzUTwohHiLNsC9JB0IGELL5knXf87TdH39DgKb1kdXO5DIcb0Zu+1TardrUqE5Xo7dW0+7FEeBI4tzYG/Z/r0sOQWc/Plv4n9agyn9yu/dX+1Uq4ISVVW/VlW1m6qq3erUqb7SUgajlpffG82Yye2oF1GLBo2CmHxzZ2a+OqzMKTaLxU5OdjGKu7RKORAEgbse7oNOL5UUUoiigE4vcceDpUt9VQdMxVbOpua53dMsC9Gt67qtVNTqJAYOL5tbdVWyd3uS2z5Ai9nO/l3Jbs7wHZFjezNq3QdEjulFQJN6NBzdk65v3EnOoYQSc04Ae5GZjF2xJP66oULjtbxnLJLRtYJXMuioN6hsXoWiJNH2kclMiZ/LjKxFDFs0q9IDG+BWCBsczullcac/8cNKFjSYxrb7PmL7A//j18Y3cuSj33w1zX8lvniETQUubqBpeP41d8ekCIKgAYJwFJZctfj565g0vSOTppdPRsditjHny13s3HoKQRDQ6SQmz+jM0FHe9YuVRtuO9XnlvTGsWPyPn9aoiW2o36D6pkisVpk5X+5g5+ZTSJKIoqgMH9uKKTd3LpfljCgKPPHiUN5+cQ12m0PPEwGaRddh8ozOLsdnZRSxd2cSiqLSuXtDwuv71s0641wBOVkmIiKDSnVf9/PQMC6Knt/zJXV6tGLYX6+VfL/lznedAtsF7EVmTs5dQ7ObhpZ7rE4v3ELW3hOc23wIVVURNRpErcTwFW9e8d40bxk4vDl//HLQdU9UhW69S1e2uUBuzGm2P/Axstl5v37/899Rt1cb6vaqHu1FVxu+CG67gRaCIDTBEcSmAzddcsxfwK3AdmAKsO5q3W/zFR+/vZHjR86VpDRsVpn5P+zBYJDoe5FpZXmJiAzijgfLX9RQ1Xz7yTb27kzGZlNKUnJrlsWi1UnlfoBoFFWb/307mYN7U8nNNtE0OsytasiKxcf4fe4BwNGU/tvcA4wY14qpPpACK8g388nbG0k4kYVGI2KzyQy6LpoZd3RzG7QHDm/Bob2pLnuFGo1E/6FVv+IURNGRpnTz51rRLICk13HdirfI2n+CjB0xGMJrEzmm51Xl6D1sTCv27UrhdEI2FrMdSRIQJZEZd3Sjtpc6mnGzl7toZALYTVZiv/irJriVkwoHN1VV7YIgPAiswtEK8J2qqkcFQXgV2KOq6l/At8BPgiDEA9k4AuC/lrQz+Rw/mu5yA7NaZH7/5aBPgtvVRH6uiT07klz2LqwWmZWLYxg/tX25Cyk0WomuvTw/QSclZvPHzwewXeKbt2bpcdp2rE+bDhWTSfro9fUkxmcjy0qJFNimv08QVNvA+CnOlXwnYtP56sMtTm7doiggSSLX39SRBpFBHNiTQk5WMU1bhNG4qe9dFC6l6U1DSZi3zmX1pvE30Py2kT4ZI7RzC0I7ey8xVp3QaiWeee06Du8/w+F9qRj9dfQd1LRUG6tLKT6bhepu/1JVKT5TcUk6xS6TunoPxSkZhHZpQVi3yyvHFKdlk7pyF4IkETmmJ/oQ32YyqgKf7KyrqrocWH7Jay9e9LUZmOqLsa4FziTnOZ7i3ZR3Z2UWoapqtd8b8yUZ6YVotZLbjXnZLlNUaPWJ6K87Nq09id3NjcVisbNu5YkKBbczyXkkJeYgy26C9qJjTsGtuMjKe6+sxWy6VOUe/nNPD5q1DOPRO37HarGXpFhbtKrDo88NqdR+unoDO9Jk2iASf91QEuA0/gbqD+5E4+vLLoScsTOGvc99S9a+OAzhIbR/6gZa3D7yqv59F0WBjl0blLuYrMGI7iQv2e7yACEZ9TSooGxXXlwyK4c8ga3Asa8vIBDaPZrrlr2Jxs/939Shdxdw4KUfHK0hgsC2e2R6ffYw0bd7FsuujlSrgpJ/C3XrBbjc8C4QFGy8qv/Qy0OdugEuK6cLSBqpVOHiilJUaMFD/y9FhZ79uLwhM6MQSeP+T6yo0Or0O7Br62mnFdsFZFll89p43ntlLfl5ZswmO1arQ20/LiaD3+a6iiT7EkEQ6Dv7SYYufo3mt42g6YyhDJr/AkMXzXLrYVYaaZsOsWLoE5xdtx9rbhH5x5PZ+cin7PmXu1I3uWEwfvVDES9yMxA0EvqQQFreObrc11VVlTVjnqX4bDa2AocbuL3YTOaOGHY99ZXbc85tPcKBV+Ygm63Yi8wOF3GzlR0PfkJubFK553IlqAluV4CGjWsTGVXb5can12sYP6Vdlc8n5XQOu7edJunUlSk/rhVspFuvRiWN0BfQ6SVGTWhdab1d4NBh1LtpDdDpJa+EhkujQWQwdg9BOyTMz+nnys0xefSVyzhXSHGh1cVQ1WaV2bjmRIXm6A2CIBAxpDP9v5vJwJ+eJXJML8deXBnZ+dhn//ShncdeZObYJ39izvCN23llo6oqGTtjOPXbRvLjL62bKx8ag46xOz+j5d1j0IcFoQ8JpPmtIxi/5wt0QeUXY8/adwJTWrbLfqlssRH/w0q3Mmcxny1CNrkKUSg2O3HfLnd5vTpTI5x8hXj8+SF88f5mjh9NR9KIKIrCyImtGTq66jzbiousfPj6ek7FZyFKjjlERtXmiReGeG1h4yvueKgPWt1OdmxKRJQcmo3XjW3F+GmVazzZtVcjlv1xlDPJeSWrR41WpHaIH/2HVGzvM7SOP517RLJ/d4pTClqnl5hyScVmk+ah6A0aN1JeUL9hLRLjs92OYTbbr4o0tqqqZB846fY9Sa8jY1cskWN6Vdr42YdOcuT9heTGJBHWNZp2T0ylVvOypRGLUjJYNWImRUnpCJKIYrXTYER3Bs1/vsJFMPragfT6+CF6ffxQha5zMZbsfAQPVaey2YZqlxG0ziHAXTAEUO2y472riJrgdoUICNTz1MvDyM0uJi/XTL2IQPQ+0jz0ltmfbCPhROb5vS7Hzff0yWy+/mgrjz0/pErnotNJ3PlQH2bc0Y28XDMhoX5ldvkuDxqNyHNvjmDVXzFsWXcSRVHp2T+K0RPbOvXJmU02Vi2JYfvGRBCg3+BmDB/b6rIN2/c82pcFc/axYc0JZFklIEDHlJs703dwU6fj2neOoG69QM6m5GG/yMVAq9MweUZn3np+tdvrN24SUu0DGzhWfxo/vdu2AlVR0JexabssJC3Zxobpr6FYbKiKQvaBeE7OXcOI1e9Qt3dbr6+zZtxz5MelOEl9pa7ezd5nv6XH+/dVxtQrRFjXaBSLe6nA4LaNEbWuv7sNR/ckY2eMy+pNE2Ck4YjulTLPykKorhX53bp1U/fs8Y0GYA2uFBVaefi2hU430gtotCIffTuZwFqVU8RRlRQWWPhz/kF2bjkFKvTo25jrb+zktfI/OHrwXn5yOeln80sqXLU6iYiGQbz49kg0XjTryrKC2WTHz1/rMRiZiq0smLOPbRsTsVllWrYN56Y7utEoqjbzvtvDulVxTqlLnV7iyReH0rKte1eG4rNZ7Hvxe5IWbUXUamh28zA6vXAL2kDvVWpUVSV5yfaS1GHD0T1p++hkjHVre32NC+x89DOOf73UuZ9LEPCPrMPUxF8qJUgrssz8+lOxZLo6YgS3acykI9+VfJ+4cCMHX/uJwqR0gls3osus/yNiqKMdJOfoKZb0vN8lrQqOApub85dWyvxlq40j7//K8S+XYCs0ETG0C11ev4OgFt7J/O197luO/e+PEidwAMlPz7DFr5X8bBdjzSvkz3Z3YErPQT2fyRD1WgKb1GfC/q+qRZuGIAh7VVXtdtnjaoLbv5NzZwt44dGlbpVA9AYNL7832sWCJj/XxC/f7WXP9iQUVaVdx/rMuLM74fUDXa5RHbBY7Dz/yBKyMotLPN00GpHgECNvfDzO65Xypr/jmfvNbpfPSm/QcPv9veg9oPKVMFRVZdPf8Sz/8xj5eSaimoUy5eZONIt2r+Rjyc7nz3Z3YM7MKykzF/VagqIbMn7Pl26f2t2xe+ZXxH7xV8mKS9Rr0dXyZ/y+L8vsEmA3Wfh73HNk7DiGqoKokdD46Rm57n2CWzcu07W8JfvQSZb1ewR7ocnlPVGn5YaUBRjCgjjy4UL2vfC9U/CSjHoGzH2WqEn9OPP3XtZNfQVbnhuXAVHgP0XLfX7jv1AQkrbxIPIFzU9RQBtgZMK+r7zy2FNVlfgfV3P47XmY0rIJ6dicLq/fQXgfzytW07ls9r00h9N/bEKQJJrdNJROL95Sof0/X+JtcKtJS/5LCa3jjyS5f9IUBFxcxa0WO688tYKc7OIS8eVD+1KJfyqDNz8dT1CwJ51A35OdVcyShYc5uDcVg1HLsNHRDBrewkX6bNuGBPJyzE5mpXa7Qn6ehS3rE7x2it6zI8ntQ4DFbGfvjqQqCW6CIDBweAsGDveuHyzm88VYcwud+qcUi42CxDROL9pKk6kDL3uNglNpxHy6yGmlpVhsWHIK2P/yHPp982SZfgaNUc/Iv98jc18cWXvi8IsIpcHIHpWqRiLqtHgsh1VVBI2E3WRh/4s/uKzKZJOFXY9+SuOJfQnp1Nxjii8wql6lrGgydx/n3KZD/wQ2AEXFXmTmwKs/0f+Hpy97DUEQaHHrCFrcOsLrcY3hIfT98jH6fvlYeaZdbaiplvyXotGIXH9TJ3R61wrFiTd0cNHF27nlNAUFFidXAVV1rI7WLDteJXMGR2B74dElbFxzgqyMIlKTcpn3/T4+f3+zy7GH9qW6DUpWi51De72vdPPz0zncRy9BEKiQu3llkrJil4ucEzgMSM+s8S4jcmb1HnCjoqLaZZL/2l7uuYV1iabl3WOJHNu70mW2glpGYqznptldFKjTszX64AByj57yaPdjSs/FkpmHISyI6LvGOISlL0Ly09Pt3XsrY+qc23zIrXKJKiucWbuvUsa8lqgJbv9iho9txW339qROeACiKBBax59b7u7BqImuKYvYo+dcKvkA7DaF2MNpVTFdAJYsPIyp2OYUZK0WOwf3pnI6wbmaKyjY6FbiShAFgmp7v9IcdF0Lt43S1VmE2dOemKjVYAj3br9MMug8lvxLVVz8VF4EQWDQry+ireVXEpg0/gb0obXo9/1MAPQhgW6DyAU0/o69554f3k+XWf+HsV4IgkYiuE1jBs9/gahJZW9m9wZ9SC1EnfvkWmUW4Fwr1KQl/+X0HdzMK7mvsDp+aDSiSwGKIDhSnFXFwb2pbj3pZLvK0UNnnSSpBo+IZuv6BBdRW61GZPAI7wWqW7UL57qxrVi1JBZFURFwBMgxk9p63PO60rR+aBJn/t7rUp0oaESib/dONityfB+23feRy+uSQUeL/7t61CrCukQzNeFn4n9aQ25MEqGdm9NsxrASy53AphEEt4ki+0C8UyWkqNPQaEKfEiUPQRRp99gU2j02pUrm3Xhyf3Y8/InL6xp/A20fnVwlc7iaqQluVwCTycbubafJyzHRLDqM1u3rVfty7gHDWrB80TG45AFXq5O4blzrKpuHOxsbAEkjYLzkvcZNQ5h+e1fmfbenZD9OlhWm/qeLWwFlT5gzcmlfmEKd1pAeGkFgo3C69Iz0eSGNYpc5u96h3hHerx1+9b2fY3ZWMfGxGfgH6GjVLpyIIZ1pP3M6B9/42ZH6EwRUWabvN094VYgAoA8OoP/3M9l8+9uosopitaEJMFK7bRTtZ/peHjYro4i9O5Kw2xU6dmtAg8hgn11bH1KLto94DghDfn+ZFYOfwJyZiyorCIJAUKtI+nz5uM/mUFZ0tfwZuvg11k58waFdLauoikLTG4fQvAx7aP9Waqolq5gTsem898o6VFXFZrWj1WloEBnE068O93jjri4c2JPCF+9vRkAAAWS7wow7ujGoDKugirJu5XHmfb8P64W9NFVBstuR/Ax8+O0UtyX++Xnmkj22Dl0iqFWG4pdTv29i03/eAgEUqx1JpyXiuq4MXvhSmeWnSiNjdyxrxjyLYrWhqqBYbbS6fzw93ruv1AcfVVWZO3sPG1fHIZ3fv9LqRJ58cShRzUIpPpNJysrdSDoNDcf0Ql+77AG5KCWDkz//jTkzj/qDO9NwZPdyKZSUxpplsSyYsw9UFUUBSRLoP7QZt9zdo8oe/FTFsZdVmJhGcLsm1O3dplo8dNqKTKQs24k1r4j6gzuVufn8WqOmFaAaYrcrPHzbQooKL2mQ1IoMvq4FN99VMZHUqsBmk4k9cg7ZrtCyXbjLaklVVY4cOMvW9QnIskKv/lF07t6wzCaunlBkhc/f38zBPck0OLyPBiePIcoy2lp+dH/tdlrdP8FnNyRzZh6/Nr7RuVoNkPwMdH/nblrfP8En49hNFhY0mIY1t9DpdY2/gd6fP0rzW4Z7PHfT3/H89M0uF+ku/wAd//t+SpkMM68UZ1LyePHxZS5C4nqDhvse70fnHhWTQavh2qKmFaAaEnskze1+kd2msHndSYz+Oo4cOEPtED+uG9uaVu3cN+deSbRaifad3ae1VFVl9ifb2L31n9L5g3tTiW5dh8eeH+ITjUhREnlw5kBW/+cdUhOPgd1Rni3nFbLn6a9RFIW2D11f4XHAsWpzFyjlYjOxny/2WXBLWrwVRXbVlbQXmTny/q+lBrcVi4651aSUZYUDu1Po3qdy+sd8ydb1J90KiVvMdtatjKsJbjWUi5pqySrkUjuTS99b/udREuKy2LsjmfdnrWXFoqNVOLuKc/xoulNgA8cNKi4mg11bT/tsHEtOAWkL14HVue/IXmzhwCs/ug0U5cFWYEKxu/83sxW4NgWXF9O5HBSr+3FM50oXs87Pd5WzAkdwy8t1/151o7jI6rDx8fBeDTWUh5rgVoVEt6mL7M6U8DwX+5lZLTK//3yQAg83r+rIjs2JWNzcpC1mO1vXuxfNLQ/5cSmIBvf9ZfYiM9bsAp+MEzGsi1vhWUEjETnOdyK/dXq2dt/vJQqE9y1d+7B5dJiHHjyBZtFhPpph5dLRkzODTqJbKUazVzuKzc7hdxewsMlN/BI2kfXTXiHvRMqVntY1Q01wq0JqBRkYPamtU+O0uz6sC0gagaMHz1bKXFRVJe7b5fwadSM/aIfzW/ObOfnz3xW8Ji62LE7v+Qi/hmEe1SJESUQb5JvWhNBOzWk0rk9JnxOAoJXQBfvT4ZmbfDIGOIJbWPeWSJcEbI1RT+eXbyv13MkzOrn04Gl1Ei1a1SlTReilKLJM8rIdbH/oY/a99IPP7F3c0aFzBI2bhDj9HBqNSK1gA4NGXJ0O3d6wdvJL7H95DoWnz2HJLuDUH5tZ0v2+Uj9ru8mC3VQxn8F/CzXBrZJRVZXM9EJys4sBuP6mTtzzaD+aRYcRVsefXv2jSq2S1FSSgsPhd+az85HPKEpKR5UVChLOsvWeD4j94q9yX7NX/yi3Kvl6vcZFBb8i+DeoQ73BnRD1zp+bZNQ7VCR0vqs6HTD3GXp8+AAhHZsREFWPlnePZeKBb8qsq1gagiAwfPlbtH5oErragYg6DfUGdWTUxg+p3a50aa9GTUJ49vURtGxTF41GxD9Ax4hxrSrk6mA3W1kx6HE23PgasZ8t5tBbv7Cow50cr6CfV96JFNZNfom5weOYV38Ke5//DrvJgiiJzHx1GJNndCKiYRB16wUyamIbXv1gDEa/6qkAU1Ey98aRtm6/i7SWrdDMgVd+dDk+NzaJ5QMeZW7QOOYGjWP54MfIi0uuwhk7YzqXTUHiWVRP0mbVgJpqyUok5nAasz/ZRl6uGVVViWgYxL2P93Pp35nz5U42/R3v0iCt00t8Omeqz61w7GYr8+pOwl7omvLU1Q7gxnN/lEsWSVVVvvpoK/t2JpeomegNGpq3DOOJF4f61HTUmlfIhumzSNt4CFGvRTZbaTJtEH2/ecKnwa0qMGflEfftCjJ2HCOoZSQt7xlHYFS9KzafQ2/P48CrP7lWiRp0TEn4GT93claXoeBUGos7342toBjOO45LBh2hXaMZvemjalFyX5Uc/fA39jwzG8XqmoEw1g9heurCku9N6Tn80eo2rHlF/6RABAFd7QAmH5+DITTI5RqVRcGpNDbOeJ2sfScQJBFdcAB9v3yMyLG9q2wONdWSV5izqXl88No6p0q2pFM5vP7MKt77apKTJuGUmzsTcziN7KxiLGY7Go2IKArc81i/SvF4Kzh5xiEt4gbFYqc4NZOAxmWv1BQEgXse7cuhfWfYsv4ksl2h94AmdO0ZWa5WgNMJ2ZxJzqNu/UCatgh1ugHqggK4bsXbFJ4+R+HpcwS1bIgxvOw33StN3okUlvZ+ENlkRTZZEHUaYj5ZxNBFrxIxrOsVmVPctytcAhsAgkDSn1todd/4Ml/z0Bs/O9RSlH8epmWzleyD8aRtOED9wZ1LOfvaQx/qkNZyF9z0Ic7SWse/Om8TdPFCRFWRTVbiZi+nw9M3VvZ0AZAtVpb1fQjzudySFZup2ML66bMYveFDwrpVndGyN9QEt0pi5eJjTgUiAKiOPrGtGxIYPqZVycv+ATpe+2gse3YkEXP4HMEhRgYMbV5pslaGOkEeq/MUWUZXu/zWFoIg0LFrAzp2LX+jaXGRlQ9mreN0YjaiKKAqEB4RyFMvD6NWkLPHXEDj8HIFYnCoeqxZGsuJmHTq1g9kxLjWTvJdVcHWuz/AmlNYcuNSrHYUq52NM17nhjMLfdoo7i3ubrjgaHKWPex1Xo6z6/Y7ORRcwF5k4dzWo/+64NZ4Uj+2P/ixy+safwNtHnZuZUnfftStCLZsspCxI6bS5ngpp//Ygq3A5JKKlE1WDr7xM0P/eLXK5uINNXtulURSYg6K4prytVpkkk+5lndrtBK9+jfh9vt7MWl6x0rVazTWrU39QZ1cRFlFvZZGE/qgq1V1WpHu+O6zHSSezMJqkTGb7FgsdlKTcvniPVfl//KSkpTLsw/+xeolMZyIzWDbxkRee2alw9S0irCbLKRvPeK22sZutpK170SVzeViGl/f361gryAKNBxdPqEBQ133Uloaow5D2OXTata8QuK+Xc6ht+ZxbusRqut2irdoA/0YumgW2kAj2kAjkp8eyagjaupAou9w1u0Mio5EcNOML+o0btMERgAAIABJREFU1Ir2zrT0YvLjUznywUKOfvQ7hafPeX1e3vFkt754qCo5R06VeR6VTYVWboIghAALgCjgFDBNVdWcS47pBHwB1AJk4HVVVRdUZNyrgcio2pxKyHbp39HpJRo28p1mXnkZ+POzrBn7HDmHEhA0IopNpk6PVmX26PI1JpON/buTXVa9sqxyIjad3OxigkO8d5L2xJwvd2Iy/bMKURUVq0Xm+8920KVnZNUoe5RygxYQnFJ4VUnHZ2dw+rdNmDPzSlYMGn8D0XeMJii6fA3VbR+dwpY73nURcgZoMq10b7mz6/fz94QXHKk4iw1JryWse0uuW/FWtXCGLi8RQzoz/exvJC/dgTW3kHqDOrr9fFs9MIHjs5ch25xXvqJGQ6t7x5VpzD3PzubYR7+XPBzsfXY2nV65jQ5P3XDZc2tFN0QTYHQNcIJAcJvqJxZQ0bTkf4G1qqq+JQjCf89/f6mDXjHwH1VVTwiCEAHsFQRhlaqquRUcu1ozckIbtm9KxHpJQ7FGI3qlwl/Z6ENqMXbbJ2QfOkn+iVSCWjWidtson4+TkpTL/l3JiKJA156NqNegdKsOU5EV0cN+oKSRyM+3lAQ3VVU5vP8M2zcmoigqvQc0oUPXBqW2VwDYbTInYjM8vn8yLpNWbStfHUbjZ6BOz9akbzvqEuhErURo16rT7LwYQ1gQEw5+Q+wXf5G0eCu62oG0vn8CkePKXzQQNXUgGbtiiP1sMYJWc37/VGXI76+47DFdjN1kYe2kF51uqHa7TMaOGA6+8QtdXrmt3HOqDmj8DDSZNqjUY4JaNGTIwpfYdMubKDYZFRVJr2Pgz88S2KS+12OdXb+fmE/+dElxHnh5Dg2GdSG0s3Pbhb3YzMmf15K6ajfG8GCa3ToSrb8Be7Hz3qlk1NHRh60xvqJC1ZKCIBwHBqmqelYQhPrABlVVS91VFAThIDBFVdVScy7XQrXk0YNnmf3xNgoLLagq1K0XwH2P9ycyyjs/rasZVVWZ//1e1q6MQ5YVBARESWDs9W2ZOL2jx/MUWeGh236jsMC1oEFv0PDpj9PQ6SRUVeWLD7ZwYHeKU2Vm2471eejpgaUGOFlWuHPqL27TxgajhqdeGkbzVlVjZZMbc5plfR9GNluRzVYErYSo1TBk4Us0HNWzSuZQlRQmp5O2/gCaACMNR/VAY3QVur6Y039uYfNtbzuqLC/h0qpCb1FkmcQFGzjx/UpUu51mM4bR7Jbh1X4VqNhlsvbGgSAQ2rVFmfdjN9w4i8QFG1xeFySRlveOo/cnD5e8ZskpYEmP+zGlZWMvMiNIIqJOS/unp5O8dDu5RxwGrxp/A32+fIzGEyvH084dVVUtGa6q6oUu4zSg1MddQRB6ADrAd3IV1Zi2HevzwezrSU8rQKORqtT37Epz7FAa61eduEgMV0WWYdmfR+nQtQFNW7hXzxAlkRtu7eIiBqzTS0yc3qGk0ffw/jNOgQ0cSihHD55l/65kupaibCFJIu061+fI/rMuAU6rlWjaovzNz2UluHVjro/9gdgvlzhaAaIjafXABIJalH0v5UpiySngyAe/ceq3jWgMOqLvGkPLu8Ygap1vMQGRdWn+n+u8vq41v8hjL5W7FOflUBWFtRNfIG3DwZLzM/fEEfftCkZt/LBCbSS5x05x8I2fydgZS0DjcNo/PZ0Gwy97D/YaUSNRp2f57aUsHpR7VFnBmuP83v6X51CUnFFSXKTKCrLJwuG35jEtaT6yxYq9yEyt5g187hDhKy4b3ARB+Btw13Tz3MXfqKqqCoLgcRl4fmX3E3Crqqpuf1sFQbgbuBugUaNrQ3ZHEATC6//7XHM3rD7hpDF5AZtVZtPaeI/BDWDAsOb4+euYP2cvWelFBIcYmTyjE/0uSudu35jo1hncYrazdUNCqcEN4LZ7e/HKzOWOghWzHY1WRBJFHnhqgM8cDLzFWLc2nV/8T5WO6UssuYX81eUeitOyS5Rj9sz8iqS/tnHdircq1MNWf1AnJwPREgSB+kPKXmGZumo3aRsPOgVGe5GZnCOJJMxbR4ty+qRl7Ixh5dAnkc1WVEWh4OQZ0ncco9tbd9HmwUnluublUFWVhHnrOPTWLxSnZhHauTldZt1O3d7uJdsaTezHua1HkIudsyKaACOR4/o4vZa4YL3bqllBI5G8bEe5P6eq5LJ/xaqqDlNVtZ2b/xYD584HrQvBK93dNQRBqAUsA55TVXVHKWN9rapqN1VVu9WpUz0djmvwDlOxh3JyFUxFpZeTWyx2Nv0dT26WCb1BQ2G+hc1rTzqJ6JaWTfcm0x5ax593Pp/Ijbd3pd+QZoyf2p63v5hA6/blb54uTE5n3dSX+dFvFD/6j2bjzW9QnJZd7ut5g9Vix2bzjVB0eYn9fLFD/PmiNgF7saMS9Oz6AxW6dkDjcKLvGuMsgSaJaAONdHvzrjJfL/G3jW7FC+xFZhJ+XlvueW5/8H/Yi81Oq0y52MKe/36Drch3ItsXc2DWT2y75wNyj5zCmlPA2XX7WTn8Kc6s3ef2+Ba3XkdAZF0nZR/JoCMouiFR1/d3PtjT35Cq+lZLrxKp6CPqX8Ct57++FVh86QGCIOiAP4EfVVX9rYLj1XCV0K13JHq9656A3qC57Krqxy93cuxQGjabjKnYhtUqEx+bwZcfbCk5pveAJm7FdvUGDX0Gli5ZdQGDUcvgEdHc9XAfJkzrQO0KVGFasvNZ0u0+khZtdeyfmSwk/rqBJT3uw+aufLqCJJ/K4dWZK7jnxvncPX0e7778N5nphZc/sRI4/cdmt31Y9iIzKcs9Pst6Tc+PHqDPV48T2jUa/0bhNLt5OOP3fkVQy7JXbkp6nUcBA6mcggmy1UbW/ni374kaiYydseW6bmlYcgs5/NY8l9SsXGxhxyOfuj1H42dg7M7PaD/zBgKbRVCrRUM6vnAzozd95JI+jpo20OU1cKQnG46+OvaCKxrc3gKGC4JwAhh2/nsEQegmCMLs88dMAwYAtwmCcOD8f50qOG4N1Zw+A5tSJzwQ7UViuDqdRIPIYLr09HxTspht7NxyymU1YrcrHD10lrxcR6Bo3yWC9p0jnAKc3qChVdtwupZy/cri+NfLsBUWO6XQVLuMNaeQk3MrJkh9KdmZRbz+zCpOxmWiKCqKrHLsUBqvPLUCs6l8TdYVQRvo/qFA0Eoe3ysLgiDQ7KahjN/9BdNO/UL/72dSq5l7T8HL0WzGMLdFLBp/Ay1uH+XmDC/mJ4keiztURUUb6L3zu7dk7TuB6GF/MD82Gdni3ipIV8ufLq/czpQTPzH5+Bw6PjMDjZ/B5bjOL9+KX0QoGr/zn5UoIPnp6frWnRjrXh0FcRUqKFFVNQsY6ub1PcCd57+eC8ytyDg1XH3o9BpeeHska5bFsm1jIqIg0G9IU4aOboVG4/mZqrDAiuCh0lGjkcjLNRMUbEQUBR54agAH9qSwdX0CqqrSZ2BTuvTwnet3WTi7fj+yyf3q5ez6/WXuRyqN1UtjXYK/oqhYzHa2bUxgyMiqlUFqee84Mvccd1lFiJJEsxnDqnQulyO8bzui7xxN3Oxl2M1WUEHjpydyXG8aTehz+Qu4QZQkGl/fj9N/bEGxOe8D64L8CauElg597QBUD76Fok7jdtVVFgyhQUw8/C3xP64iZflOjOEhtLx3HHW6t7r8ydWEGvmtGioNg1HLuCntGTelvdfnBIcY0Wgkt+7SiqIQXu8faTBRFOjSI5IuFXBqVlWVxF83cOzjP7Bk5dNwZA/az7wBv4iyeaH5R9ZFEEWXyj5BK5VbHswT8bEZLiLb4NirPHk8s8qDW5Npg0hduZvEhRtQLDYESUIQBbq/dy+1mpdfhq2y6PnRAzS9aSgJ89ai2GWaTBlI+IAOFSp86fXpw2QfOEnxmUxsBSY0/gZEjcTQxbMqpZowpFNzjPVDHTqxF+2BiXotTWcM9cmY2gAjre+fSOv7J1b4WleCGleAGqodq5fGsPCn/S6tAKMmtOH6m3yb0d7+0CfE/7CyZNUhajVoA/0Yv+9LAhp5H5SyDsQ7+tUuVdI36plw4GuflvbP/ngbWzckuLYx6ETGT+3A+KneP0z4kqz9J0hZvgvJoCVq6sAyfX6ekK02kpdsJz8+leDWjWk4ume5HCuqAkWWSVm2k6z98QQ0qkvU1IFoA3yfkrxAXlwyKwY/jr3QjGK3I4gitTs0ZcSqdyp13CuNt31uNcGthmrJhtUnWDT/IDnZJmoFGRg7uR3XjWvlU2uU/JNnWNT+DpdiCEESaXbzcPp/P7NM1zvxw0q2P/Ax4nnpLlVW6Pf9TJpMKV1eqqwkncph1swVWK3Oq1u9QcM7X0wkuPa1cWMrSDzL8v6PYC0oRjZZkYw6DKFBjNn6MX71q64Xsaqxm62cWriRzD3HqdU8gmYzhnlUcVHsMqkrd1GUnEFI5+bU6dn6mrcPqgluNVwTKLJSaXtosV8uYdcTX7i1d9GHBXFT+h9lvqatoJiz6w8giI4+LHeb9b5g17bTfPfp9vMZKRWdXsMDTw2oEtmwquKv7veRvT/eKdUrSCL1BnVi5Jp3r+DMKo+i1AyW9n4Qa24R9kITkp8eUZIYseZd6vS4eva7KpMaP7cargkqszhE429A8HB9jX/pslCe0Ab60Wh8+QoTykKPPo3p0iOSxPhMJEkkqlnoZTU1ryYKk86Re/SUyx6mKiuc23wIS04B+tqBV2h2lce2ez/EdDa7pOpWLrYgA+smv8S00/OqrRpIdaTmk6rBJySdyuGHL3bw/qx1rFx8zKnhurrSaHxvt9JOklFPyzvHXIEZlQ2NRqRFq7o0bRFW6YFNVVUUN35slYWtwITgYW9NEMVySW9Vd2SLldTVe9wqsljzisg64L6Xrgb31KzcaqgwW9bGM+erXdjtCoqiEnskjeV/HuWVD8ZUqDG6stEFBTDw5+fYeNPr5+1UrGj8DYR1bUm7J6dV2rj58amc23oEQ1gQDa7rVuGy7crEVmRi95NfEv/jamSzjdrtm9Drfw9Sb6Bn8WtfENQy0uPnog+thV+DslWzXg2osuJRGUQQBbetJtUR2WLl8LsLiJu9HNlkpeGYnnR+5TYCIutW6Txq9txqqBAmk42Hb13oUtwgigI9+jbmvif6eziz+mBKzyFxwQYs2QXUG9iBegM7VsqmvCLLbL7tbU7/vhlBIyIIIqJOw3Wr3iasi+97oQoSzrDryS9JXbkbQSMRNXUA3d+5B0Po5c1BwbFaWz7wUTJ3H3eS1pL89Ixa+36FRHy94eTPf7P1ng+ctBAlo55B85+n0bjKT/1eCf7qdq9bk1ptoB83pv9erZ0LFFnmyPsL2f/C9079foIkogsOYOKh2T4pBPJ2z60mLVlDhTh28Cyi5BoIFEVl365kp9dsRSYKEs96VE+4Uhjr1qbNQ5Po/NJ/qD+oU6VVmx37+E9O/7kF2WzFXmjGVlCMJSuf1SOeRnYjUlsRTOey+avH/ST/tf38eCYS5q5laa8Hvf78M3fFkr0/3imwgWMfaO8L3/l0vu5oNmMYw5e8Tv0hnfFrEEaDEd0ZsebdazawAfT58jE0AcZ/UrKCQxmk9+ePXDawmbPyKEw659FFobLZdu+H7H/pB5dGdlVWsBUUc+S9X6t0PtU3H1LDVYEjEJQeDGSrjZ2Pfkb8nFUlG+JtHptMl5dvK3WDXFUUco6eAkUluF1Umf2rfEXSX9s48t4Cis9kEd6/Ax2fm1Gu5uRjH//hosgOoFjtpK7a7dOb9rFPFmEvchbyVWx2TOdyOLVwI81uHn7Za2TujXOvyA9ke9BS9DX1B3em/uCyq/9frYR1a8mE/V9z+N0FZO6MIbB5A9o/Oa3UVXJRagabbnmT9G3HSlZJfb54tEoKmy6eQ8Lcv10ehC6gWO2krNhFj/fvq7I51QS3GipEmw71UNzcAC84bwNsv+8jEuavd9ozOPbB74gajUerl3NbDrPhxtew5hUCAho/PQN+esan/ljecGDWjxx+Z0FJAUPh6XOc/mMTo7d8TEj7pmW61qWeWRdQFQVzRl6F53oxZ9ftd3ujsReaSNt0yKvg5t+wDqJW41YU2VgvxCfzrM7IVhvnthwBRaFu33aXNVb1FbWaRdD3y8e8Olaxyyzv9whFKRklDyImk4UNN77GiDXvEt7Hvf2Nr8naewJRr0X2ENzAsVdaldSkJWuoEAajltsf6IVOJ5VU7On0EkHBBqbf3hVzVh4J89a59JLZi80cfX+hSwoDHE+Bq0f9l+LUTOyFZuyFJszpuayb9CJ5J1Kq5OcCMGfmcfCNX5wq8xwpFhO7Hv/C6+sossyZv/fi72FDXVUUwvu2q/B8L8a/YZhb9XtRp8U/0js7qYajejiEcy+5jsbfQIf/3uiTeVZXkpfvZF74ZNZd/yLrprzMvPDJJMxfd6Wn5ULysh2Ys/NdVtiyycLB136qsnkYw2ujunG2v4DG30Cbh6+vsvlAzcqtBh/QZ2BTopqGsm5VHFkZhbTpUJ9+Q5phNGrJ3JPkeKJz8/Sv2OyYs/Lxu2QVEPfNMrdl57LNTswnf9Lr44cq7We5mHObDyPptW5XQOc2HfLqGvnxqawc+iTW3EK3P5PkpydyTK9y2beURptHp5C8fKdLGlTQiDS/baRX1xC1Gkaue581Y5/FnJGHIIooVhttHptM05tc9NKvGQoSz7J+6isuD2Rb7niP4DaNCenQzMOZVU9eTJLbVDdAzpFTVTaPsB6tMNarTUGCGS4JcoIk0uL2kURNGVBl84Ga4FaDj4iIDOLmO7u7vB7QOBzFTWADx41WH+LaiJsbk+Q2oKg2mdyYpIpP1ks0AZ7VRSTD5avWVFVlzZhnKUrNcP6DFwQEScQYXpvWD06k3RO+bzsI79OW7m/fze6nvkLUOf7MVUVl0C/PlakkO7h1Y6bEzyVrbxyW7ALCukV7lIKqKlRVJW3jQVKW70QTYKDpjUN9qt15/JtlbhX3FauNmE8X0ffrJ3w2VkWp1aIBkp8ee4GrZ6CvH5hKQxAERqx8m1XXzcSUnguAYnG0jgyY+yzBrUr3cKwMaoJbDZfFbpMRJbFcjcKGOsE0mtSvxMTzApKfntYPTkJy40kV1q0lyUu3u/T1iHptlUoQ1R/UyW0jsajX0uyWy+9ZZe0/QfGZTJcnWVQVUadhWtL8StUBbP3ARJrOGEba+gOIOo1DDqwc+0aCIBDWrWqdBjyh2GXWTnqBtA0HsRdbEDQih9+eT9e37qLtQ75JexUknEWxuqbLVVmhIOGsT8bwFZHjeqML9EMusjgVD0l+ejo9f3OVziWwaQSTT/xE+tYjFJ/JIqxbNIFNy+e75wtq9txq8Ejs0XM8/8gS7pz2C3fd8AuzP96GqbjsZfz9vptJ1JQBiHot2kA/JIOOlnePpcus290eH33HKMfK6JIbv6TT0ur+8eX6WcqDqNUwbPFraAONaPwNIIAmwEhwm8Z0e/POy55vycjzqLIhm6weKxF9iT44gMaT+hE5pleVFURUJie+X0na+oOOfVBVRbXJyCYre5/+hoJE3wSeegPau9UElQw6wgd08MkYvkLSaRm95WNCu7RAMujQBBjRh9ai3+wnK73R3h2CIBDerz1Npg26ooENapq4a/BAYnwWbzy3ysl2RqMRadg4mJffG12uFYclp4DiM1kENKp7WYfm3Ngktvzfu2TtjQMguF0T+n37JKGdmpd53IpizSvk1MKNFJ/Npk7P1kQM6+KVxp85M48FkTe4TbEGtWnM9Ucqv1fsWmNJj/vJ3HPc5XVRq6Hzq7fR4emKF7rYCor5veWtmDNy/3kAEQV0wQFMjvkBQ53gUs9P23SIQ2/Po+DkGcK6RdPhmRnUbhtV4XldjqKUDGwFxdRq0bDa2gL5ghrh5BoqxJ/zDrqojtjtCmdT8zl+NJ1W7cquPq+vHei12G1wq0aM3fYJ1rxCVEW9oiK5uqAAosuhNWkIC6L1gxM5/sUS7MX/VFxKRj09P7zfl1P812B34+AAjopUu4fCirKiDfRj3K7P2fHIpyQv2Q6qSsTwrvT65OHLBra471ew46FPSoo8CuLPkLRoK9etfJvwfpXrs+ff0Lsq2H8LNcHtGsditpGeVkhwiJHAWt7brySezHKrcyfbFU4nZJcruJUHXVDA5Q+qxnR/5x6CWjTk0DvzMZ/LoXaHpnR7484rkjICRzGGbLIgGfVXpe9X1JQBHD55xqX6VmPUEzm2l8/G8W9Yh6G/v4KqqqCqXq3U7WYrOx/9zKl6UVUU7MUWtt3/EZMOfeuz+XmLqigc++RPjrz3K+b0XEdK/a27aDDCtfjrWqMmuF2jqKrKb3MPsHpJDKIkYrfLdOzagLse6YvR6FrEcSkhoX7k57oqr2u0IiFh1VcMubohCAIt7x5Ly7vHXtF5qKpKzKeLODDrJ6w5BWhr+dF+5nTaz5xe6UHOml+ENbcQvwZhFVaZafPIZOJ/XIPpbFZJgNP4G4gc35s63X1fbCQIgtt+QXdk7z/h8bPMi03Gml+Erpa/L6d3WXY+9jlx3y4vCbjZB0+y9vqXGPzri0SO8d3DQHWkpqDkGmXZn0dZvTQGq1XGbLJhtykc3JvKZ+9s8ur8sZPbodNfciMSQKuV6NTdd2XXviRpyTb+6nYvP4dMYEmvB0hdtftKT6nacPjdBex95hssmXmosoI1p5ADs35i3/OVt+9nyS1k3eSXmBc+mT/a3M78elOI+25Fha6pDw5gwr4v6fjCzYR2bkF4//b0+epxBv70rI9mXX40/gaPRUKCICC6qQyuTMwZucR9s8ylD042Wdj1hPciBFcrNcHtGkRVVZb/cdSpGATAblOIPXKOjHOFl71G9z6NGT+1AzqdhNFPi96goU6dAP772nVotdVvs/r4N0vZcONrZO07gTW3kMxdsayd/BInf/n7Sk/tiiNbbRx6/WeXPSm52MLRj37HVuTaI+UL1oz6L8nLdqBYbMjFFixZ+ex4+BNO/7mlQtfVBQXQ8ZkZjN/7JaM3fkSzm4ZWCxPP2u2but2TEzQSDUZ0Q+NFb6Qvydofj6h3H1DzT6S6VQe6lqhJS16DWK0ypmL3Gm8arUh6WgF1wi+/lzVuSjuGjoomMT4LP38dUc1CvE5hmU02Fs7dz9b1CdisMi3b1uXG27sRGVW7TD+LN8hWG7tnfu36hFpsYddjX9DkhsFXTHS5OlB8JsujUryokShMTKN2uyZeXUux2Tnw2lxiP1+MLb+IkC7R9Hj3Hpdiicy9ceQcSXTpF5OLLex74TsaT+pXvh+mGiMIAkP/fJUVgx9HsdmxF5nRBBoxhAbR5wo0fhvDa6N6MJjV+Ok9tqlcK1QouAmCEAIsAKKAU8A0VVVzPBxbCzgGLFJV9cGKjFtD6eh0Ev4BOgryXavH7DaZehHeK0z4+eto27F+mcZXFJW3XlhN8ulc7DbHTfXowTRm/Xclr34wpkzje0NBfKrHdJCtyERxSiYBjaumAKY6YggL8vj5KFZbmUSQ10+fRerK3SXSVJk7Y1g18mlGrHYW6c2LOe1xr6q6NUL7kpCOzZiWNJ/EXzdQmHiWkI7NaDSh7xUxpK3doSkBjcPJi012bvA2OvpMy7rXajdZSFq0laLUTMK6RVea76GvqOha/r/AWlVVWwBrz3/viVmAdxs+NVQIQRAYP62Dy56ZVifRoWsDQutU7qb2sUNnOZOSXxLYLmCz2vlr4WGfj6cLDkC1u0+xqLKCttbVXQBjN1mI/3E1u578guNfL8WaX1Sm87UBRppMH+wiGSbqtTQc3RNDmHfmpbmxSaSu3OWiuSgXW9j7zDdOrwU2bwAeemg9CUhfK2gDjET/3yi6zPo/oqYMvGJO64IgMHzZmwQ0rY8mwIgm0Ihk0BExrCtd37ijTNfK2n+CBQ1vYOs9H7DvuW/5e/xzLO39ILbCyklp+4KKfuoTgEHnv54DbACevvQgQRC6AuHASqBqPUv+pQwf0xKbVWbJwsPIioKqqPTqH8V/7u5R6WOfjMvEanENNooCccfSfT6eX0QYYd1bkb79mFMaRtBqqD+40xXtkasohafPnb+JFGMvNKPxN7DnmW8YteHDMlnu9P7sEWx5RaSs2IV4Xgy63qCO9J9T2vOoM5m7YhE8pHez9jq7R9fp2ZrAZhHkxpxGtV0kBOBnoNOLt3g9ZnnJPXaKw+/+Stb+EwS3bkS7p26oFLfz6k5A43AmH59D+rajFKVkENqpeZk1J1VFYc2455wsmxSbneyDJ9n91Ff0+eJRX0/bJ1RIoUQQhFxVVYPPfy0AORe+v+gYEVgH3AwMA7p5SksKgnA3cDdAo0aNup4+fbrcc6vBgd0mk5tjIrCWHr2haqq1Nq45wc+z92BxE+BatKrD8295p0pfForPZrFi0GMUp2Wj2hUESSQgKpxRa9+/bONtWbDmF3H8m2WkLN2BPiyI1vePr1QzzeWDHyN98xGXPbNaLSO5/tj3ZU4LFSankx+XQmCzCAKj6pXp3NTVe1g/9RVsBcUu7/lH1mHa6flOr5kzctlw42ukbzuKqJVQFJWGo7pjySpA628g+q4xRI7t7fPUVtrGg6wZ8wyyxeZIx4oCkkHHoF+er1IDz2uFc1sOs2bMM9jciDNLfnr+U7i8SufjM4USQRD+Btz9FTx38TeqqqqCILiLlPcDy1VVTbncL7Gqql8DX4NDfutyc6vh8mi0EmF1q7YRukffxvzynat0ml6vYdTENpc9X5EVzqTmo9GIhNcP9Orm51c/lOtjfuDs+gPkn0gluHUjwgd0qPCNU1VVEn5ZS8zni7Fk5lOclo1is5c4HaSu2EW7J6fS+eXbKjSOOyy5hWRsO+a2GKQoOZ38+NQyq+EHRNYtkyvAxdQf2hlNgMGRirrooVjy09P2sSkuxxvqBDPy7/coTsumKDmdLXe8R8ryXSWFP2fXH6ABXkQmAAAfqElEQVTJtEH0+/apcs3HHaqqsuXO95wrQxUVudjC1rvep+GYnpVeXJS2+RCH355P/nn5rY7P3ERwm6hKHbMyseYVgeB+B0s2W1FVtVruvV02uKmqOszTe4IgnBMEob6qqmcFQagPuMs59Qb6C4JwPxAA6ARBKFRV1ft8SA3VElVVOX40nf27U9AbJHr1b0JEwyCMfjqeeHEoH72+HkVWUXEom4yc2IauvUq3vji4J5XZn2zDYrGjKiohYX7c/+QAGje9fNGDIIpEDO1CxNAuPvoJYeud75H46wYnw9KLsRebOfzOAlr83ygCGvm2aEWx2sCDE4MgiR59vCoLUZIYueZdVo18GlteESCg2Ow0vXFIqUaUfvVCSJi3joKTZ5z26+xFZhIXrKflveN81oBtOpdDUUqG2/fsJgt5MUleV4aWhxNzVrH9gf9dJL+VStKfW7lu9TtV5orta+r2buP4XXRDWLeW1TKwQcX33P4CbgXeOv//xZceoKrqjAtfC4JwG460ZE1gu8pRZIWP397IsUNpWCx2RFFg+Z/HmHxTR0ZNbEt067p8/MNUYg6nYTHbiW5Tl1pBpct/JZ3K4dN3Nzr156WdKeDN51fz/teT8A+oWlX7nCOJJMxf71JA4YIgkLJsJ63u861jgaFOMAGN6pJ/ItXlPUmnJbhdlE/H84bgNlFMOzWPc5sPY87IJaxna69Wggm/rHX7OdrNVpIWbfVZcJN0Go+FLKqseOXDV15ki5WdD3/qLL8lK9iLzWy/70MmHpxdaWNXJvqQWrR/ejpH3vv1n4c8QUBj1NPrf9W38L2i1ZJvAcMFQTiBYz/tLQBBELoJgnB1/kvW4BVbNyRy7KAjcKGCIqvYrDK//3KQtDP5gMNFoH3nCLr1bnTZwAawcvExlwpLAFlW2Lo+wec/w+VIXbXbrWnlpQiCUCk9Q4Ig0PebJx09SZJ44UUkPz19vnzsivXuCaJIvYEdiZoy0OsUZ8n83VxL8KEogD6kFmHdW7lt6g5oXJdazRv4bKxLydofDx4WMbkxSWWucq1OdH7pVvp/P5PQbtEYI0JpNLEvY7Z9TJ2era/01DxSoZWbqqpZgIvfvKqqewAXwytVVX8AfqjImDVUD9avjnNbMKLICju3nGLCtLL7XqUm56JcauwJWC0yZ1LyXF63m63sf/F74r5Zhq3QRFi3lvT44D7q9vZN+kfjZ3AELTfGlRejKgqNxvf2yZiXUm9AB8bt+pzD7ywgc98JgltF0n7m9GpjHuot0f83ipwjiS6pVFGrocnUQT4da8CP/2Vp7wexF5kdjdT+BkSdhkELXvTpOJei8dNXK/ktcOzbFpw8g3/DMIzh3vczuiNqykCipgz00cwqnxqFkhpKsNtkZEVFr7/8r4XN6n5FI8uq2zYAb4hqGkJSQo5LgNPrNTRq4qpssnbC85zbfLhEQDdjZwwrhz/F6A0f+uTm33hyf3Y96VmDT9BIiFqJHh8+UOEbR2kEt4mi/w8uHTbVHtlqQ7HZ0fobaXH7SBJ/3UDGrhjsheaSCsYWt4+kKDkdjZ+ewCZlEwvwRGCT+kxN+JnEBRvIPpRAUKtImt44pNJFiy/IbxUWpTm9LmgkIq6rWvktRZbZ9djnxM1ejqjTIlusNBzdkwFz/os2wFhl87iS1JiV1kBujokfvtjBob2pqCo0bBzMbff1pFm0Z3+opb8fZtGCwy5BTq/XMPOVYTRvVXZvqbTUfF54fJlTcBQECAjU8+5Xk5zcDDL3xbF8wKNuiyoiruvGiJVvl3l8d5z85W+23vk+qqqiWGxo/A0ENosgpGNTjOEhtLh9JMGtG/tkrGsFc1Ye2+//H0mLt6LKCkGtIun92aPU7duW1JW7Of3nZkSthqx98eQcTijpu6s/pDODFryA1v/qvflmHYhn5ZAn/pHfCjBiCK3FmO2f4lcGJZiKsufZ2cR8/IdT1aio19JwZHeG/jmryuZRGXjbClAT3P7l2G0yTz+wmOysYhT5n98FvV7Dy++PJqKhe/UKU7GVl55YTnZWcUmA0+s1dOzWgPuf7F/uCqq4Y+l8++l2MjMKQYWoZqHc/Wgfwus7S3bFfrWEXY9/4bZIQVc7kBlZi8o1vjuKUjNInL8ea14REUO7lKvFwG6yYDqXgzG8Nhpj1RbGVCWKLLOow50UxJ9xEuaV/PSM2fw/Qju3AGDt9S+SsmKXk0u5ZNDS+PoBDJx75RX+K4KtoJjEBespOHXuvPxWH6QqTEkqNjs/h07E7kY9RDLomBL/E34RYVU2H19T48Rdg1fs3ZlMYb7FKbAB2Gwyy34/wl2P9HV7ntFPxysfjGHdyjh2bTmFXq9h0IgW9OrfpEKlwdFt6vL25xPIyzUhSSIBge4DgV/9UESNhLvkqKGu75q2Afwb1KHdE9PKda4iy+x5Zjaxny1GEAVURaXV/ePp9uZdiFeBcG1+fCoJ89chm6w0HNOLur3blPrvm7pqD0UpGS6K87LJyoFZPzH0j1cpTssmeekOF1Ff2Wzj1O+b6P35I1Xue+ZLtIF+5XJu9xXW/CKPiv+iXkvh6XNXdXDzlprg9i/ndEI2ZrM7qSyVkycySz3XaNQyZlJbxkzyff9OUHDpqakGI7sjGrRQ4Py6xs9A+yfLF4gqg91PfUXc10udVpixX/yFKiv0/OD+Kzizy3Pkw4Xse+47FFlGtcsc+/gPGo7qwaD5L3i0mMk5eNJ9/52qOuyI8gpZ3v8Rj2r1okbCkpV/VQe3K40uOACNUY/V4tqbplhslVoxWp248iZINVxR6oQHuJqSnie8XvXVZJR0Wkb+/R7GiFC0gUa0tfwQ9Vqi7xpNi/8bdaWnBzgcCY5/tdStj9rxr5ZWmo+aL8iLS2bf8985FChsMqiOpuuUFbtI+GWtx/P8G4cjeUi7BjQOZ/fT31CU7FlfVJBE/Bpc+6uKykSUJDo8exMaf+f2G8mop8n0wT6Vo6vO1AS3akxudjGH95/hTLJrGbyv6NU/CslND5JOLzG6ElZkviSkfVNuSJrPsCVv0P/7p5ma+As9P3yg2igmFKdmeu7vkkSKU0pfGfua7IMn2XDjLP5ocztrJ79Exu5Yj8cmzF+HYnNdXdmLzBz/eqnH8xpP6ofkxiBT8tPT4ZmbSJi31sXj7QKiXkvH52+u0v2pa5V2T0yj4wu3oA3yRzLqkYx6ou8cTd+vHr/SU6syatKS1RBZVvjusx3s2JyIVishywoNGgXz+HODqXWZdF1ZMfrpePrV4Xz81gaKCq2IgoCqqsy4szst21Z/DzRBFKk3oOw9dVWBX0SYx/Sbapfxiwgt97VN6TnEfbuczD1x1G4XRcu7x+LfwHOFauqaPayd9KKjbUJRyTueTOqq3Qyc+yyNJ7oah9qLLB7nbvMgRQagMeoZteFD1k54HtO5HARJRJUVur11Fw1H9vAY2AAEUSBjVyy5MadrKlAriCAIdJg5nXaPTcGcmYeudmCVO4FfaWqqJashv83dz/+3d+fxUVVnA8d/z8ydJQsQIBB2gmzKElEQgwq4ACIooiIgtqClUisqn1pRKNW3damAbV+LyyvUFeoCigIii4CoCMgmCEKAALKHsAQSINss5/1jBkqYO2RIJpNhcr6fD59kZm7uOR6Teeaee87zLJyTQfE5y+wtVqHpZbX4y8t9KqRNpRR7duVQXOQhtUVt7HbzqcoTxwvYtjkbZ5yNtmn1MMKYXSIWrfj9K+yY9lWJ+1DWOActhvYqc6mQnE27mNd1FN5iN57CYiwOGxabwa0LJ5huYFdK8UmzIZzeGzgd6KyTxKCDMwKynRz6biOL+o4NyKlpddrp8OxQ0sbcd8E+KqU4vnEXxXmnSe7YCiPeN0X2VZ8xHFi4NmiKLCyCEe+k7/JJASV9inLyWPunt/ll+lKU20OjvulcM3HERef0VF4vXrenQq8QPUXFbHjhP2yfMhfXqULqXt+Wzi8/TK0rm1dYm1WF3gpwiVJK8fCQ6RQWBN4Mttut/PUffWnQOLTikuHu12cfbmD+rC1YDd9Um0WEUeNu4vIyXOGdyNjD5ldmcmLLHpKvaU3bUffEZLVsr8vNyscmsXPqIix2A2+xm+a/7kn6q4+V+c119tUjyNmwM+D5hKYp3Lvrg4Bp2dP7jzCz9VA8BcUBP2MkOrlj1RsBV0pKKb6++1kOLv7xbICzOu3EN0ym37o3y7zg48TWvcxNH4m7oBgVZEUfIjTsfQ29vnzp7FOeomJmpf2WU3uy/3v1Z7HgqJXI3ZvfDek+kut0Aav/+CY7p36Fp9hFjcubkP6vR8OaaPuMhb1Gk7385xJjbiQ4uf2H16nZNjXs7VUloQY3fc8tyrjdXooKzTNwWw0LOccqJz/duh/2sWBOBi6Xl8ICN4UFbvLzXfzz+a/JPx34pnkh++evYs41vyfznfkcXv4zW1+fzefth3N07bYK6n3lsdgMrn/zCQZnfULf7ycxOOsTrp/8RJkDW+GRE5zYstf0taKjueRt3x/wvNVpR5mkNQNfYt8zV1XnEhFu+vQvpL/2OHXS21Dzyuak/fl+rpv8B3ZOW8Tuz5bhCZIp/kKSLm9C/41v0XpEX+IbJpvfk1SK7O82lnhq96ffkZ+VU3Ja0+vFfaqQjNdL39OolGJRn7G+wHZmanbLHhbf+WeyV2y+6P+OCzmyZiuHV24J+DDhzi9i/f+8G9a2tOB0cIsyNpuVWrXNPxW7XB4aNamclU7zZ20pka3/DKUUq1eEXlTW6/Gw7IGJePKLzubh87rcuE8V8P1v/x62/kaa62Q+eTsP4ikyD/T2GonUbNcMe43y1dZTSgVNzguY1n5zJtcguWOrwOX7IlRv0SjoFbPFaqXlsFu5fcWr3L58EgcX/ciSfs+wZvRkvn9wAtMbDSJn08UntE5skkKXVx+nyxujTAMrgHFeiqispRtMNyV7Cos5sGhdqW0eXbuNYz9mnk3Vdvbn84v4cdzbF9H70h1ZuQWv2f1Kpcj+PryBVAtOB7codO/QqwLuedkdVrp0a0ZSrfhK6VPuCfNl665iD7nHQ1/SfuLn3biDlJDJ3bqXopy8MvWvsrgLi1n2m4l8lHIPszs8xId17mL9c1OpqOn+uLo1qR6kQKm9ZiI1Ljevl9dt2licdZPOBg0jMQ5H7WrcOP2ZkNpdN+4djq7KwJ1fiKewGNfJAoqO5rKoz1jTgBqKhr06mV65WeMcXP7wHSWei2+YjMVusv5NhIQQtg4c+zEz6P+TnJ92hNbhEDnrJpn3FXDWifwthapKB7co1KVbM4Y/1oXadRIQgbh4G737teHBR9IrrU+t29bFbN+u3WHQonXoeSQtNmvwxQQqeGmUi+V1ezi2PpMTW3ZXWKABWDZsPL9MX4qnsNiXhf5UIT9PnM6miR9XWJtd33sKWzXfvj7wTX0aCU66T/tT0G0Q1ZrVZ8CuD7jujVG0f/o+0ic9ysDdH5EUJBieL/OdeQFXPQCuvNMcLuO0ntVhp8fcv2GrnoCRGIfFYcNIcJLStT1pY4eUOLblg70RkxI/1jg7bUbdU2pbCY3rYgnyuxVXv+yrVs006XcdFpM/FiPeSdsn7g1rW1pweitAlErv2oz0rs1wuzxYDUul793qd28aa1fu9WUz8ccKm81Cw8Y1aJNWL+Tz1LiiKY7a1QMrW4uQfE3rck/bAez+bBnLR/wD5fKgvF6cdWty0yfPknx1q3Kf+1z5WcfY98XKgDd9d34hmyZ8TPvRg4Jm8iiP5KtbcdeWd9j6xhyOrvNtBbhiZP9Ss+obTjvNf9Uz4Pkjq7eyb+5KLA4bze7tTo1WjQOOCbr8X4SinJPmr4Ug5bq2DD44gz2zllN45AQp17czrehQLbUe3aaNZdnQ8Yhh8dUQdLnp+OJwUq5vV2o7DXt1wlYtHtepwhIfrowEJ2ljhlzgJy+eEe+k14IJLOo7Fq/bg1IKVeymxYO9afnArWFtSwtOr5bUQrZ/7wmmv7eOjE3Z2B1Wut7cnLuHXInDeXGLI46symBhr6fwunxL2Y143ybTvitepUaQKbdQBasWYKsez72/fIijZviyrhxatpHF/f6MKzdwkY/FbjD40EwcSeUP1hVFKcWyByawe+Z3eAqKEasFi81Kh/8ZRtpTg0sc+0X6SI6uDtz0bXXaGbjno4hlvTiweB0//30G3mIXlz98B6kDuof8ASJ3+z4W3f4nCrJyEMOKt8hF2yfv5eq/PlghHx69LjcHl/xI8fFT1L2hXciFXbUL01sBtKhWcPg4me8uIDdjL7U7tqTF0F5huWr7ZsgL/DLjGzhvdaA13kGn8Q/R5tG7yt3GGacPHGFmy6Gm03W2GgkMOfp5pVXLDsXuT79l2YMTA66ixWqh29SxXHbfzWefO7xyMwt6jvatAPS/ZxgJTi5/5E6umTAiIv39YdRrZL4933fPVimMRCf1ul/JLbOeD3mclVLkbNhB0bE8andsFdYPO1pk6KoAWlSLq1uTtKcvvBG4LHK37QsIbOBbFWe2TL48EhrWoeFtnTkwf3WJAGfEO2k/elBUBzaArVPmBk4P49se8O2wlyjKyeOKkf0BqNulLX2+fYUfn3mHo2u2EVevFu1HD6L5rwOnOSvCkVUZZL49r0SeTvepQg598xO7Z3xbIhBfiIicLbujxTa9oESLKcmdWiMmpWSMBGeFvKl1nzaWpnd3xeq0Y6sWhzXeQZtRd5eawSMamAW2/77oZc3oySVWryZ3bEWveeMZcuRz7tr0Ni2G9orYveCdHy7BbXKF7D5dSOa7CyLSB+3SooObFlPaPTkwIHGvWCzYEuNoNujGsLallCLzvYVkL/8ZpRTxjety0/Rn6fji8ApZSBJuqQO6B83gDyA2gwNfRcetAeX2nF3IdD6vO3i+Sq3qiv6/QE27CDVaNuLWryaS1C4Vi93AYjNI6Z5G35WvBd0wXFZrnp7C2qemcHpPNt4iF7lb9rB04HPsm7cqrO1UlNYP9SWxSfBFDgJRU1A1dUA3jPjAQGwkOE1XgGqaXlCixayinDwsNgNbtfBvfC88lsuMxoNNF5NUb9WIe7a+H/Y2K4LrZD4Lej7J0dWBqc+scXYGZ30aFYVDlVJ8c98L7P/yh7PTqUaCk5ppl3Hb0n/qMjlVSEQWlIhILWA6kArsBgYqpY6bHNcEeAtojG9yoY9Sand52tZih6fYRc5POzHinSS1aRq2+ziOWtXDch4zOet3YHHYTINb3o4DeIpdFf6G6y4s5uiqDMSwUufaK8p0lWWrFk/PL19i7rUjKcg+jvt0IWKzYjEMrn/rj1ER2MC3EOTGD8exd84KMt9dgKewmOb396DZ4Jt0YNNMlXe15BhgiVJqvIiM8T9+2uS4qcCLSqlFIpIIlC1fjxZzdn6wmJUj/wXKlxcxLqUmN8/8a9SXBnHWTQpa78zqtGOxVexC5F0ff82K3/0TRED59tXdOP1ZGtx81UWfy1m7Bv03+UrJHFy8jvgGybR6qG+59xyGm1gsNO1/g2n9OU07X7mmJUVkG3CjUipLROoD3yilWp93TBtgilLqon4j9bRk7MtesZmFvUYHbLi2JyUycM9HFTKdGC5KKWa1H07u1n0lcitanXZa/bYP6ZMeq7C2j23YwZc3PB4wbkaCk3u2vU98g9JzLWrapSpSJW9SlFJZ/u8PAWbpxVsBJ0TkMxFZLyIvi0h03KXWgtqecZgp/1rOKy8u5bslO0oUTg2XTeM/CniDBl9mh1+mLw17e+EkIvSY+zcSmqZgVIvDSIzDGuegXvcr6TTxdxXa9pZXZuI1KYvkdXv0snhN8yt17kREFgNmyQPHnftAKaVExOwy0AC6AlcBe/Hdo3sACKgzISIjgBEATZqEltBVC7/PPvqJ+bM24yr2oBRs2XSIhbMzeGZCb5xx4bu/kbfjgOnz7tOF5O3MMn0tmlRLrceAzKlkL9vE6X2HqXVVy4gUoszbecA0E7+3yEVepvmYalpVU+qVm1Kqh1Kqncm/2UC2fzoS/9fAOvawH9iglNqllHIDswDT0rdKqSlKqU5KqU516oSeaV4Ln+ysk8z7fDPFRZ6z+WWLCt1kZ+WxcE5GWNuq3amVaRUAIzGOWh2i+57bGWKxUK/7lTT/Vc+IVVhOub49FpNFFEaCk7rXtY1IHzQt2pV3WnIOMMz//TBgtskxa4AkETkTrW4GtpSzXa2CrF+9z7Rqs8vlZfm3F1+Y8kKuHHMfVqe9xHNiteCoVY2md+lFA8G0efwurE6bbzGJn1gt2KrHc9n9t1RizzQtepQ3uI0HeopIJtDD/xgR6SQibwEopTzAk8ASEdmEb2/ov8vZrlaRIlRdJ6lNKr3mjyepbSoWm2/DdYOeHem7fJJe3n0B8Q2SuX3Fq6R0a49YLIhhpdFtnblj1RvYEuJKP0EYKKXY+Z9FzLpqBB83GsjSQc9xIiP0iuyVyXW6gPXPTeWT5vczI/U+1jw1maLjZS/bo0UnvYlbKyE76yTjHv8Cl6vkAhKb3codA9px58C0Cmm36MQprHYj7FlEYp3X5QaLRDxJ86o/vsH2KV/+Nz+lRTDiHfRdNims2zi8bg9iDV89Q6/LzRfpI8nN2Ht2j6LFbiO+YTL9N0yJ6hW6mk+kVktqMSalfjVuH9AOu8N6dtbL4TCo16AavftdUWHtOpISdWArA4vNiHhgyz94lG3/90XJxMtehftUIatHvxmWNvZ+sYKZrYfyvuNWPki6gzVjpuApDlwherF2f7aMvO37S2y+9xa7KMjOYfs788t9fi166JI3WoD+g9Jo16E+3y7awelTRXS8tgmdb2iKzaZ3cGhwaNkmLDYrHpOiAoe//7nc5983bxXfDH4BT4Fvm4jrZAEZr87i1C+HuGn6s+U69/55q0yrIXjyi9g7ZwVtR91TrvNr0UMHN81Ui9Z1aNFar1jVAtlrJJRYzHIuI6H8V99rn5p8NrCd4SkoYt8XKzn5SxbVmtUv87kdtaohVgvKE7iVwlm74tK1aZGnpyU1TbsoDW652rRmntVpp9XwPuU+f+62fabPW+wGx9bvKNe5W/7mNiz2wM/0RryT1g/3K9e5teiig5umaRfFYjPoOfdv2KonYCTGYbEbGAlOkq+9gg5/GVb6CUrhCHIFpbyKhEblm02o1f4yOo5/CKvTjjXO4fvqtNPmD/eUKS+nFr30aklN08rEdbqAvbOWU5B9nLpd2lAnvU1YVjVunPARG56fViI1m1gtVG/ZkLs2vxuWNvIPHmXv7BV43R4a355erqlOLbJCXS2pg5umaVFFeb2sHDmJzPcWYHXaUW4Pian16DnvJRIbBy+uqlUNOrhpmnZJyz+UQ86GHcTXr03NtMvCttdNu7RFpFippmlaRYmvV4v43p0ruxvaJUovKNE0TdNijg5umqZpWszRwU3TNE2LOTq4aZqmaTFHBzdN0zQt5ujgpmmapsUcHdw0TdO0mBO1m7hF5AgQztK+ycDRMJ6vqtDjVjZ63MpGj1vZVKVxa6qUKjXJaNQGt3ATkbWh7GrXStLjVjZ63MpGj1vZ6HELpKclNU3TtJijg5umaZoWc6pScJtS2R24ROlxKxs9bmWjx61s9Lidp8rcc9M0TdOqjqp05aZpmqZVETEb3ESklogsEpFM/9eaQY5rIiJfiUiGiGwRkdTI9jS6hDpu/mOri8h+EXktkn2MRqGMm4h0EJGVIrJZRDaKyKDK6Gs0EJHeIrJNRHaIyBiT1x0iMt3/+qqq/nd5Rgjj9oT/fWyjiCwRkaaV0c9oELPBDRgDLFFKtQSW+B+bmQq8rJS6AugMHI5Q/6JVqOMG8DzwXUR6Ff1CGbd8YKhSqi3QG3hFRJIi2MeoICJW4HXgNqANcJ+ItDnvsOHAcaVUC+B/gQmR7WX0CXHc1gOdlFJpwKfAxMj2MnrEcnC7E3jf//37QP/zD/D/YhhKqUUASqlTSqn8yHUxKpU6bgAi0hFIAb6KUL+iXanjppTarpTK9H9/EN8HqVI3o8agzsAOpdQupVQx8DG+8TvXueP5KXCL6FLcpY6bUmrpOe9hPwCNItzHqBHLwS1FKZXl//4Qvjfi87UCTojIZyKyXkRe9n86qspKHTcRsQD/AJ6MZMeiXCi/b2eJSGfADuys6I5FoYbAvnMe7/c/Z3qMUsoN5AK1I9K76BXKuJ1rODC/QnsUxYzK7kB5iMhioJ7JS+POfaCUUiJitizUALoCVwF7genAA8Db4e1pdAnDuD0CzFNK7a9KH6bDMG5nzlMfmAYMU0p5w9tLTQMR+RXQCehe2X2pLJd0cFNK9Qj2mohki0h9pVSW/83E7F7afmCDUmqX/2dmAenEeHALw7h1AbqKyCNAImAXkVNKqQvdn7vkhWHcEJHqwJfAOKXUDxXU1Wh3AGh8zuNG/ufMjtkvIgZQAzgWme5FrVDGDRHpge8DV3elVFGE+hZ1Ynlacg4wzP/9MGC2yTFrgCQROXPf42ZgSwT6Fs1KHTel1P1KqSZKqVR8U5NTYz2whaDUcRMRO/A5vvH6NIJ9izZrgJYi0sw/JoPxjd+5zh3PAcDXSm/KLXXcROQqYDLQTylVpRfHxXJwGw/0FJFMoIf/MSLSSUTeAlBKefC9OS8RkU2AAP+upP5Gi1LHTTMVyrgNBLoBD4jIBv+/DpXT3crjv4f2KLAQyABmKKU2i8hzItLPf9jbQG0R2QE8wYVX7VYJIY7by/hmUz7x/36d/6GhytAZSjRN07SYE8tXbpqmaVoVpYObpmmaFnN0cNM0TdNijg5umqZpWszRwU3TNE2LOTq4aZqmaTFHBzdN0zQt5ujgpmmapsWc/wdKk2Rmo4FdrQAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -113,10 +113,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 4, + "metadata": {}, "outputs": [], "source": [ "def model(X, Y, learning_rate = 0.3, num_iterations = 30000, print_cost = True, lambd = 0, keep_prob = 1):\n", @@ -198,12 +196,43 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { - "collapsed": true, "scrolled": false }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost after iteration 0: 0.6557412523481002\n", + "Cost after iteration 10000: 0.1632998752572417\n", + "Cost after iteration 20000: 0.13851642423284755\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "On the training set:\n", + "Accuracy: 0.9478672985781991\n", + "On the test set:\n", + "Accuracy: 0.915\n" + ] + } + ], "source": [ "parameters = model(train_X, train_Y)\n", "print (\"On the training set:\")\n", @@ -221,18 +250,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": { - "collapsed": true, "scrolled": false }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "plt.title(\"Model without regularization\")\n", "axes = plt.gca()\n", "axes.set_xlim([-0.75,0.40])\n", "axes.set_ylim([-0.75,0.65])\n", - "plot_decision_boundary(lambda x: predict_dec(parameters, x.T), train_X, train_Y)" + "plot_decision_boundary(lambda x: predict_dec(parameters, x.T), train_X, np.ravel(train_Y))" ] }, { @@ -264,10 +305,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 9, + "metadata": {}, "outputs": [], "source": [ "# GRADED FUNCTION: compute_cost_with_regularization\n", @@ -292,7 +331,7 @@ " cross_entropy_cost = compute_cost(A3, Y) # This gives you the cross-entropy part of the cost\n", " \n", " ### START CODE HERE ### (approx. 1 line)\n", - " L2_regularization_cost = None\n", + " L2_regularization_cost = (1/m) * (lambd/2) * (np.sum(np.square(W1)) + np.sum(np.square(W2)) + np.sum(np.square(W3)))\n", " ### END CODER HERE ###\n", " \n", " cost = cross_entropy_cost + L2_regularization_cost\n", @@ -302,11 +341,17 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cost = 1.7864859451590758\n" + ] + } + ], "source": [ "A3, Y_assess, parameters = compute_cost_with_regularization_test_case()\n", "\n", @@ -344,10 +389,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 11, + "metadata": {}, "outputs": [], "source": [ "# GRADED FUNCTION: backward_propagation_with_regularization\n", @@ -372,21 +415,21 @@ " dZ3 = A3 - Y\n", " \n", " ### START CODE HERE ### (approx. 1 line)\n", - " dW3 = 1./m * np.dot(dZ3, A2.T) + None\n", + " dW3 = 1./m * np.dot(dZ3, A2.T) + (lambd/m)*W3\n", " ### END CODE HERE ###\n", " db3 = 1./m * np.sum(dZ3, axis=1, keepdims = True)\n", " \n", " dA2 = np.dot(W3.T, dZ3)\n", " dZ2 = np.multiply(dA2, np.int64(A2 > 0))\n", " ### START CODE HERE ### (approx. 1 line)\n", - " dW2 = 1./m * np.dot(dZ2, A1.T) + None\n", + " dW2 = 1./m * np.dot(dZ2, A1.T) + (lambd/m)*W2\n", " ### END CODE HERE ###\n", " db2 = 1./m * np.sum(dZ2, axis=1, keepdims = True)\n", " \n", " dA1 = np.dot(W2.T, dZ2)\n", " dZ1 = np.multiply(dA1, np.int64(A1 > 0))\n", " ### START CODE HERE ### (approx. 1 line)\n", - " dW1 = 1./m * np.dot(dZ1, X.T) + None\n", + " dW1 = 1./m * np.dot(dZ1, X.T) + (lambd/m)*W1\n", " ### END CODE HERE ###\n", " db1 = 1./m * np.sum(dZ1, axis=1, keepdims = True)\n", " \n", @@ -399,11 +442,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "dW1 = [[-0.25604646 0.12298827 -0.28297129]\n", + " [-0.17706303 0.34536094 -0.4410571 ]]\n", + "dW2 = [[ 0.79276486 0.85133918]\n", + " [-0.0957219 -0.01720463]\n", + " [-0.13100772 -0.03750433]]\n", + "dW3 = [[-1.77691347 -0.11832879 -0.09397446]]\n" + ] + } + ], "source": [ "X_assess, Y_assess, cache = backward_propagation_with_regularization_test_case()\n", "\n", @@ -461,12 +515,43 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": { - "collapsed": true, "scrolled": false }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost after iteration 0: 0.6974484493131264\n", + "Cost after iteration 10000: 0.2684918873282239\n", + "Cost after iteration 20000: 0.2680916337127301\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "On the train set:\n", + "Accuracy: 0.9383886255924171\n", + "On the test set:\n", + "Accuracy: 0.93\n" + ] + } + ], "source": [ "parameters = model(train_X, train_Y, lambd = 0.7)\n", "print (\"On the train set:\")\n", @@ -486,17 +571,28 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "plt.title(\"Model with L2-regularization\")\n", "axes = plt.gca()\n", "axes.set_xlim([-0.75,0.40])\n", "axes.set_ylim([-0.75,0.65])\n", - "plot_decision_boundary(lambda x: predict_dec(parameters, x.T), train_X, train_Y)" + "plot_decision_boundary(lambda x: predict_dec(parameters, x.T), train_X, np.ravel(train_Y))" ] }, { @@ -572,10 +668,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 16, + "metadata": {}, "outputs": [], "source": [ "# GRADED FUNCTION: forward_propagation_with_dropout\n", @@ -614,18 +708,18 @@ " Z1 = np.dot(W1, X) + b1\n", " A1 = relu(Z1)\n", " ### START CODE HERE ### (approx. 4 lines) # Steps 1-4 below correspond to the Steps 1-4 described above. \n", - " D1 = None # Step 1: initialize matrix D1 = np.random.rand(..., ...)\n", - " D1 = None # Step 2: convert entries of D1 to 0 or 1 (using keep_prob as the threshold)\n", - " A1 = None # Step 3: shut down some neurons of A1\n", - " A1 = None # Step 4: scale the value of neurons that haven't been shut down\n", + " D1 = np.random.rand(A1.shape[0],A1.shape[1]) # Step 1: initialize matrix D1 = np.random.rand(..., ...)\n", + " D1 = D1 0))\n", " dW2 = 1./m * np.dot(dZ2, A1.T)\n", @@ -724,8 +822,8 @@ " \n", " dA1 = np.dot(W2.T, dZ2)\n", " ### START CODE HERE ### (≈ 2 lines of code)\n", - " dA1 = None # Step 1: Apply mask D1 to shut down the same neurons as during the forward propagation\n", - " dA1 = None # Step 2: Scale the value of neurons that haven't been shut down\n", + " dA1 = dA1*D1 # Step 1: Apply mask D1 to shut down the same neurons as during the forward propagation\n", + " dA1 = dA1/keep_prob # Step 2: Scale the value of neurons that haven't been shut down\n", " ### END CODE HERE ###\n", " dZ1 = np.multiply(dA1, np.int64(A1 > 0))\n", " dW1 = 1./m * np.dot(dZ1, X.T)\n", @@ -740,11 +838,21 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "dA1 = [[ 0.36544439 0. -0.00188233 0. -0.17408748]\n", + " [ 0.65515713 0. -0.00337459 0. -0. ]]\n", + "dA2 = [[ 0.58180856 0. -0.00299679 0. -0.27715731]\n", + " [ 0. 0.53159854 -0. 0.53159854 -0.34089673]\n", + " [ 0. 0. -0.00292733 0. -0. ]]\n" + ] + } + ], "source": [ "X_assess, Y_assess, cache = backward_propagation_with_dropout_test_case()\n", "\n", @@ -798,11 +906,57 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost after iteration 0: 0.6543912405149825\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/vladislavovich_d/ml_course/Improving_DNN/Regularization/reg_utils.py:236: RuntimeWarning: divide by zero encountered in log\n", + " logprobs = np.multiply(-np.log(a3),Y) + np.multiply(-np.log(1 - a3), 1 - Y)\n", + "/home/vladislavovich_d/ml_course/Improving_DNN/Regularization/reg_utils.py:236: RuntimeWarning: invalid value encountered in multiply\n", + " logprobs = np.multiply(-np.log(a3),Y) + np.multiply(-np.log(1 - a3), 1 - Y)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost after iteration 10000: 0.0610169865749056\n", + "Cost after iteration 20000: 0.060582435798513114\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "On the train set:\n", + "Accuracy: 0.9289099526066351\n", + "On the test set:\n", + "Accuracy: 0.95\n" + ] + } + ], "source": [ "parameters = model(train_X, train_Y, keep_prob = 0.86, learning_rate = 0.3)\n", "\n", @@ -823,17 +977,28 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "plt.title(\"Model with dropout\")\n", "axes = plt.gca()\n", "axes.set_xlim([-0.75,0.40])\n", "axes.set_ylim([-0.75,0.65])\n", - "plot_decision_boundary(lambda x: predict_dec(parameters, x.T), train_X, train_Y)" + "plot_decision_boundary(lambda x: predict_dec(parameters, x.T), train_X, np.ravel(train_Y))" ] }, { @@ -963,7 +1128,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.0" + "version": "3.7.1" } }, "nbformat": 4,