Created
November 21, 2018 17:09
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git/yang-zhang.github.io/ds_math/t-tests.ipynb
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{ | |
"cells": [ | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "%load_ext autoreload\n%autoreload 2\n%matplotlib inline\n%config InlineBackend.figure_format = 'retina'\n\nimport numpy as np\nimport pandas as pd\nimport matplotlib.pyplot as plt\nimport scipy \nimport seaborn as sns\n\nnp.random.seed(42)", | |
"execution_count": 155, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": "The autoreload extension is already loaded. To reload it, use:\n %reload_ext autoreload\n" | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "https://github.com/scipy/scipy/blob/v1.1.0/scipy/stats/stats.py#L3970-L4092" | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "## one-sample" | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "true_mean = 10\ntrue_sd = 2", | |
"execution_count": 156, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "n = 1000\nsample = true_sd*np.random.randn(n) + true_mean\n\nsns.distplot(sample)", | |
"execution_count": 157, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "<matplotlib.axes._subplots.AxesSubplot at 0x1115280f0>" | |
}, | |
"execution_count": 157, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x111fc0240>" | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 250, | |
"width": 388 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "$X_i$ for $i=1...n$\n\n$EX_i=true\\_mean, Var(X_i)=(true\\_sd)^2$ for $i=1...n$\n\nMean $$Y = \\frac{\\sum_{i=1}^{n}X_i}{n}$$\n\nBy independence of $X_i$s, variance of $Y$:\n\n$$Var(Y) = Var(\\sum_{i=1}^{n} (X_i/n)) = \\sum_{i=1}^{n} Var(X_i/n)$$ \n\nBecause $Var(aX) = a^2Var(X) (1) $ $(*)$,\n\n$$Var(Y) = \\sum_{i=1}^{n} (1/n)^2 Var(X_i) = (true\\_sd)^2 / n $$\n\n\nStandard error of the mean $Y$ (SEM):\n\n$$true\\_sem = \\frac{true\\_sd}{\\sqrt n}$$ \n\n\n$(*)$ follows from \n$$Var(aX) = E(aX)^2 - (EaX)^2=a^2EX^2-(EX)^2 = a^2Var(X)$$\n " | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "N = 1000\nsamples = [true_sd*np.random.randn(n) + true_mean for i in range(N)]\n\nmeans_samples = np.array([sample.mean() for sample in samples])\n\ntrue_mean, means_samples.mean()", | |
"execution_count": 158, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "(10, 9.9968332326346054)" | |
}, | |
"execution_count": 158, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "f\"means_samples.std(): {means_samples.std(ddof=1)}, true_sem: {true_sd/np.sqrt(n)}\"", | |
"execution_count": 159, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "'means_samples.std(): 0.0644158535619968, true_sem: 0.06324555320336758'" | |
}, | |
"execution_count": 159, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "$$ t = \\frac{sample\\_mean - nullhypo\\_mean}{sem} $$" | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "nullhypo_mean = 9.9", | |
"execution_count": 160, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "def cal_true_t(sample, nullhypo_mean, true_sd):\n n = sample.shape[0]\n true_sem = true_sd/np.sqrt(n)\n true_t = (sample.mean() - nullhypo_mean)/true_sem\n return true_t", | |
"execution_count": 161, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "true_ts_samples = [cal_true_t(sample, \n nullhypo_mean=true_mean, \n true_sd=true_sd) for sample in samples]\n\nsns.distplot(true_ts_samples, label='ts')\nxs = np.linspace(-3, 3, 100)\nts = [scipy.stats.t.pdf(x , df=n-1) for x in xs]\nplt.plot(xs, ts, label='normal dist')\nplt.legend()", | |
"execution_count": 162, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "<matplotlib.legend.Legend at 0x112430f98>" | |
}, | |
"execution_count": 162, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x1122092e8>" | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 250, | |
"width": 373 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "$$ sem = \\frac{sample\\_sd}{\\sqrt n} $$ \n$$ t = \\frac{sample\\_mean - nullhypo\\_mean}{true\\_sem} $$" | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "sample.std(ddof=1) / np.sqrt(n), scipy.stats.sem(sample)", | |
"execution_count": 163, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "(0.061931053715728178, 0.061931053715728178)" | |
}, | |
"execution_count": 163, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "raw", | |
"source": "def cal_t(sample, nullhypo_mean):\n n = sample.shape[0]\n sem = sample.std()/np.sqrt(n)\n true_t = (sample.mean() - nullhypo_mean) / sem\n return true_t" | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "def cal_t(sample, nullhypo_mean):\n sem = scipy.stats.sem(sample)\n true_t = (sample.mean() - nullhypo_mean) / sem\n return true_t", | |
"execution_count": 165, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "ts_samples = [cal_t(sample, \n nullhypo_mean=true_mean) for sample in samples]\n\nsns.distplot(ts_samples, label='ts')\nxs = np.linspace(-3, 3, 100)\nts = [scipy.stats.t.pdf(x , df=n-1) for x in xs]\nplt.plot(xs, ts, label='normal dist')\nplt.legend()", | |
"execution_count": 166, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "<matplotlib.legend.Legend at 0x1126d9588>" | |
}, | |
"execution_count": 166, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x112261630>" | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 250, | |
"width": 373 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "n = 1000\n\nsns.distplot(sample)\nplt.axvline(x=nullhypo_mean, linestyle='-.', label='nullhypo_mean')\nplt.legend()", | |
"execution_count": 167, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "<matplotlib.legend.Legend at 0x1129983c8>" | |
}, | |
"execution_count": 167, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x11243a710>" | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 250, | |
"width": 388 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "t_sample = cal_t(sample, nullhypo_mean=true_mean)\n\nxs = np.linspace(-3, 3, 100)\nts = [scipy.stats.t.pdf(x , df=n-1) for x in xs]\nplt.plot(xs, ts, label='t-dist', color='orange')\nplt.axvline(x=t_sample, linestyle='-.', label='t')\nplt.legend()", | |
"execution_count": 168, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "<matplotlib.legend.Legend at 0x112b6f8d0>" | |
}, | |
"execution_count": 168, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x1128bf3c8>" | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 250, | |
"width": 380 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "stat, p = scipy.stats.ttest_1samp(sample, true_mean)\nstat, p", | |
"execution_count": 169, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "(0.62430895850932877, 0.53256724366229635)" | |
}, | |
"execution_count": 169, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "t_sample = cal_t(sample, nullhypo_mean)\n\nxs = np.linspace(-3, 3, 100)\nts = [scipy.stats.t.pdf(x , df=n-1) for x in xs]\nplt.plot(xs, ts, label='t-dist', color='orange')\nplt.axvline(x=t_sample, linestyle='-.', label='t')\nplt.legend()", | |
"execution_count": 170, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "<matplotlib.legend.Legend at 0x112d99f28>" | |
}, | |
"execution_count": 170, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x1129760f0>" | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 250, | |
"width": 380 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "1 - scipy.stats.t.cdf(t_sample, df=n-1)", | |
"execution_count": 171, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "0.012687446472287145" | |
}, | |
"execution_count": 171, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "xs = np.linspace(-3, 3, 100)\nts = [scipy.stats.t.pdf(x , df=n-1) for x in xs]\nplt.plot(xs, ts)\nplt.plot(xs, ts, label='t-dist', color='orange')\nplt.axvline(x=t_sample, linestyle='-.', label='t')\nplt.axvline(x=-t_sample, linestyle='-.', label='-t')\nplt.legend()", | |
"execution_count": 172, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "<matplotlib.legend.Legend at 0x112f8d128>" | |
}, | |
"execution_count": 172, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x112d782e8>" | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 250, | |
"width": 380 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "2*(1-scipy.stats.t.cdf(t_sample , df=n-1))", | |
"execution_count": 173, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "0.02537489294457429" | |
}, | |
"execution_count": 173, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "t_sample", | |
"execution_count": 174, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "2.2390077889056759" | |
}, | |
"execution_count": 174, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "stat, p = scipy.stats.ttest_1samp(sample, nullhypo_mean)\nstat, p", | |
"execution_count": 175, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "(2.2390077889056759, 0.025374892944574411)" | |
}, | |
"execution_count": 175, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "### confidence interval" | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "confidence=0.95\n(1-confidence)/2", | |
"execution_count": 176, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "0.025000000000000022" | |
}, | |
"execution_count": 176, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "t_critial = scipy.stats.t.ppf(1-(1-confidence)/2, df=n-1)\nh = t_critial * scipy.stats.sem(sample)\nt_critial, h", | |
"execution_count": 191, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "(1.9623414611334487, 0.12152987443805613)" | |
}, | |
"execution_count": 191, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "xs = np.linspace(-3, 3, 100)\nts = [scipy.stats.t.pdf(x , df=n-1) for x in xs]\nplt.plot(xs, ts)\nplt.plot(xs, ts, label='t-dist', color='orange')\nplt.axvline(x=t_critial, linestyle='-.', label='t_critial')\nplt.axvline(x=-t_critial, linestyle='-.', label='-t_critial')\nplt.legend()", | |
"execution_count": 192, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "<matplotlib.legend.Legend at 0x114bbefd0>" | |
}, | |
"execution_count": 192, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x114ece470>" | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 250, | |
"width": 380 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "confidence interval" | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "sample.mean() - h, sample.mean() + h", | |
"execution_count": 193, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "(9.9171342372065947, 10.160193986082708)" | |
}, | |
"execution_count": 193, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "# https://stackoverflow.com/questions/15033511/compute-a-confidence-interval-from-sample-data\ndef mean_confidence_interval(data, confidence=0.95):\n a = 1.0 * np.array(data)\n n = len(a)\n m, se = np.mean(a), scipy.stats.sem(a)\n h = se * scipy.stats.t.ppf((1 + confidence) / 2., n-1)\n return m, m-h, m+h\n\nmean_confidence_interval(sample)", | |
"execution_count": 198, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "(10.038664111644652, 9.9171342372065947, 10.160193986082708)" | |
}, | |
"execution_count": 198, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "### t-distribution v.s. normal" | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "n=3\nxs = np.linspace(-3, 3, 100)\nts = [scipy.stats.t.pdf(x , df=n-1) for x in xs]\nns = [scipy.stats.norm.pdf(x) for x in xs]\nplt.plot(xs, ts, label='t')\nplt.plot(xs, ns, '--', label='normal')\nplt.legend()\n", | |
"execution_count": 146, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "<matplotlib.legend.Legend at 0x111b5af98>" | |
}, | |
"execution_count": 146, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x111be49b0>" | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 250, | |
"width": 380 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "n=30\nxs = np.linspace(-3, 3, 100)\nts = [scipy.stats.t.pdf(x , df=n-1) for x in xs]\nns = [scipy.stats.norm.pdf(x) for x in xs]\nplt.plot(xs, ts, label='t')\nplt.plot(xs, ns, '--', label='normal')\nplt.legend()\n", | |
"execution_count": 147, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "<matplotlib.legend.Legend at 0x111d86828>" | |
}, | |
"execution_count": 147, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x11195a780>" | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 250, | |
"width": 380 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "for n in [1, 2, 5, 10, 30]:\n xs = np.linspace(-3, 3, 100)\n ts = [scipy.stats.t.pdf(x , df=n-1) for x in xs]\n ns = [scipy.stats.norm.pdf(x) for x in xs]\n plt.plot(xs, ts, label=f't: {n}')\n \nplt.plot(xs, ns, '--', label='normal')\nplt.legend()\n", | |
"execution_count": 203, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "<matplotlib.legend.Legend at 0x114f81550>" | |
}, | |
"execution_count": 203, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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Zi6bRvOax+Pri/khv3B5+iNS1a4mbNJns48cBsKalETd5MsnLl+M/YTwOjRsDYO9kptfwUH6eup+zx5IACP/lNDmZuVhzNhO+ahnKYMDZ04taoTf0t1EIIW5phn9uIoQQ4laUn5dXpLzrlwi2/RhlC+69A53p/WqLIsF96rr1nOrTp0hwb6pWDZ933qbOr6vxePzxGw7uL6UMBly7daPW8mX4f/4Zltq1bXW5Z85w+t9PkLhwIRc/bbbYm3jgxebUbOJla7d//Wn++mMnAJrVyorxHxNz6u8yG6MQQtxqJMAXQogqKDsjg+/efpU9v64E4M/lf7N9eeGGVr613Xh4xB04uOi56bXcXGI++YSooUOxXnyI1mSi2ogR1PltDZ79+l01j/2NUgYDrj16UHvFT/h98IH+sC76UqHo0WM499rr5KfpGXtMFiP3P9+UOi2q6+cqM1bVE7O9vm4/NyuTH8eNISXuQrmNVwghbmYS4AshRBWTn5fHivEfceHU36yb/SVLP55E+C+nbfUBIR70Gh6KnaM+E58bHc3pAQNJmDXb1sbk50fw/G/wfm4IBnv7Chu7Mhpx7/MItZYsxi4kxHY8ZdUqIh57jKyjxwAwmgx0e7YxIXf56ecZnFGWXhjN+ljTExP0dKDpacUvIoQQVZwE+EIIUYVomsZv0ydzev8e27GoY4X1NZt60XNYM8x2enrJ9D//5FTvR/T89AWcOnei1tIlOISGVti4L2cJDiZ44QLcH3/cdizn1Cki/vUvkpcvB/QMO12fDKFpZ3+9bPTGYPcAyqDfW3xUJD99+gF5ubkVfwNCCFGJJMAXQogqZNvi7zi0ca2tbHG+C6NFf0i1erAr9w1uYstxn7ZxI2cGDyE/Ud9ICoOBaiNHEjhtGiYPjwof++UM9vb4vTeGGv8bh3LQM/xoWVmce/MtEhcsAEAZFB3/VZ86d+gbZRnNQZgcCrPonPnrAGu+nIhmtVb8DQghRCWRAF8IIaqI4zu3sW3xAlvZzrkZytQGABdPe3oObYbZogf3qevXE/XiS2gFs9umatUImvM13kMGoy7fqKqSufXqRa1FP2CpU8d2LHrMeyR8+y2gB/n3DGqETy394WGjpSEW5462toc3b2DXqmUVO2ghhKhEN9dvcSGEENclJfYCv06bYCvbOdcGUxeUUlgc9Mwzjq76Q7Kp69YT9fJwW3Bv9vcneOECnO68s1LGXhp2desSvOA77C/ZRCfm/bEkzNeDfJPFSI8XmuHipa/BV6ZW2DkXLjHasnAeaQnxFTtoIYSoJJIHXwghbnH5eXmsnDiO7PSCLDN27mC8D6WMGAyK7kOa4FlDz0qTum4dUcNfgYvBfUAANefOwezvf13XTs5OZtu5bWw5t4Vt57YRn1VyEO1iduFOvztpX6M97f3bU92x+jVfy+jqStCsmUQ++yxZ+/Q0njFjx4LVimf/p3B0tfDAsOYs+SScnMw8NFNnLI6xmMzp9HjpNZw9vf7hCkIIUTVIgC+EELe4zQvncf74UQCUMmCwdEcZ9DXrnfs1ILChJwCpa9cSNWJkYXAfGKgH9zVqlPpamqZxKP4Qm6I2seXsFg7GH8Sq/fP69sTsRH6N+JVfI34FoJ5HPdrXaE8H/w609m2NQZXuA2WjiwtBM2dy5tnBZO7bB0DMhx+CZsVzwAA8azjR/bkmrPxiH1arEcw98AvxIrBRs3/oWQghqg5ZoiOEELewpJhowi9ZX260b4/BpAfsLe6rSaP2+n+n/PYbUa+MKAzug4KoOW/uNQX3RxOO8txvz/HvVf9m2r5p7I/bX6rgviTHE48z59Acnl3zLH1X9mXH+R2lPtfo4kLgrJlFsvzEfPQx8XPmABAY4knnfg0AUAYXzh7LYdfPEdc1TiGEuBXJDL4QQtzC3H18eeydD1g54X9kZ3lgtGsFQJ0W1Wj7kL4rbMbuPZwb+SoU7GxrrhlEzblzMfv6luoaMekxTN47meUnlqOhFalTKJpWa2pbehPiGYLhsrkjDY2IlAi2nN3ClrNbCL8QTp61cJfdwwmHeWbNM3QO6MzIliOp7V6bf2J0diZw5kzODBliS/F54eNxmKpVw61nTxq1r0FybCa7V+v5/3f9HIF/Aw/863uQlphAVmoK3kHBpbp/IYS41UiAL4QQt7ga9RvjHvAM8VHpKKVwq+ZA1/4NUQZF7vnzRL38su2BWkvNmgTNm4vZx+cf+03PTWf2wdnMOzSPrPws23GDMtA9uDtdArvQ1q8t7gU7yF5NfY/61Peoz6Amg8jIzWBn9E42RW3ip79/svW9MWojm89upk+9PrwQ+gLeDt5X7dPo7ETg9Omcee45MsPDATj/n/9iCaqJQ9MmtOlVm5iTyZw9loSmwW+z/6J9bwtrZ03EbGfHkx9PxN7J+R/HLoQQtxpZoiOEELe4bcv+JuGcFWVwwGBU3De4CRZ7E9bMTM4MG0Z+XBwARnd3AmfNLFVwvy5yHT2W9mD6/ulFgvtOAZ1Y8uASxnUaR/da3UsV3F/O0exI58DOvNPuHVb0XsFDdR5CoQDI1/L54dgP9FzakwVHFqBp2lX7Mjo7EThtKpZatQDQsrOJevFFci9cwGBQ3DOoMfZO+o69aYkprPxiHBnJSSRfiGHNV1/8Y/9CCHErkgBfCCFuMbGnT5GZlgrA6YPx7Ft7xlZ31yN1qRbkgqZpnPvPf8j+67BeYTLh/8VELAEBV+3bqlmZtm8aw9cPJyErwXY8xDOEGd1mMOXuKdT1qFtm9+Lr5MvYDmP54cEfaOPXxnY8Iy+DD7d/yOhto8nJz7lqH0ZXVwKmTsHgqufBz4uJIeqll7BmZ+PsYcfdAxsCoJQdRrt7bOcd376VA7//Wmb3IsTtIiIiAqUUAwcOLLM+4+PjmTlzJr1796Zu3bo4ODjg5uZGhw4dmDVrFlbZrO6aSIAvhBC3kNysLJZ/OpY5I1/gwLoNrJ3zl62uZlMvmnXVA/i4adNI/WW1rc737bf/Mc99Rm4Gr218jal7p9qOVXeszocdPuT7B76nrV/bMr6bQiGeIcy4dwZT755KHbfCDa2WHl/KM78+Q1xm3FXPt6tVC//PP4eCTbqy9u0n+t130TSN4KbeNO8aCIDRUh+TfXPbeRvnzyIlLrYc7kgIcS0WLVrE4MGD2b59O23atOGVV16hT58+HDx4kGeffZbHH39cPnG7BhLgCyHELWTzwnkkX4ghIzmJtTOnkJmiz+Q7uVm4u39DlFKkrFlD3BeTbOd4PPFvPPr+66r9nks7R/9f+vPb6d9sx9r4tWFpr6U8WOfBUqexvBFKKToGdOT7B7+nV51etuN7Y/fSd2VfDsUfuur5zh3a4/PmG7Zy8vKfSJg9G4B2vevgHaivtzfad8Jo0VOH5mRmsnbmFAkchKhk9evX56effiIqKopvv/2Wjz76iNmzZ3PkyBECAwNZsmQJS5curexh3jIkwBdCiFvE2aOH2b16ha1stOuEMtiDgnueboyDi4WsI0c49+ZbtjaObdrg83//d9V+d0Xvou/KvhxNPGo71q9hP76850vc7NzK/kb+gZ3RjrHtx/Jaq9dsbyxiMmIY8MsAfjn1y1XP9ejfH7c+j9jKFz79jLSNGzGaDdz3bBNMdkaUMmO0uxcK1v2f2rOLw3+sL7f7EaIqGT16NLUKnnmZO3cuSinba05Bqtrr0bVrVx588EEMhqKhqa+vL88//zwAGzZsuO7+bzcS4AshxC0gLyeHX7+cCAUzzQZzMAZLIwBa3R9MQAMP8pOTiRo6DC0zE9Bz3ftPGI8ym6/Y77ITyxi8ZjCJ2YkAmAwmxtw1hrfufAuTofISrSmlGNB4AFPvnoqL2QWA7Pxs3tj0BpP3TL7ijLtSCt9Ro3Bo0UI/oGmcffU1ciIicPdxJOzf9QEwmPwx2hUu1Vk/ZzrpSYnle1NCVAFhYWEMHz4cgObNmzNq1CjbK/SSvSnCwsJQSpVJUG4u+B1mMknyx9KSAF8IIW4B25YsIPFcFADKYMHseA9KKfzqutG6ZzCapnF+9Ghyz50DwODkRODUKZg8PK7Y56qTq3h3y7vkaXpOek97T2bfN5tH6j1yxXMqWnv/9nzX8zuCXYNtx77a/xVf7f/qiucYLBYCJn2BqYYfANa0NM6+/gZabi4N2vrRoI2e/9/k0AGDUX8wNys9jd9nTyu/GxGiiggLC+OVV14BIDQ0lNGjR9telwb4ZSUvL4958+YB0L179zLvv6qSt0JCCHGTizl5gp0/LbGVjfYdUQZXTBYD9wxshMFoIHn58iIP1fp9/BF2da+c7WbDmQ38d/N/bRtXNfBowKSuk/Bz9iu/G7lOwW7BfNfzO17f9Dpbzm4BYMreKbhYXOjXsF+J55i8vAiYNImIvv+G3FyyDhwgbto0qr38Mp361ufssUTSEsHocC/WNP17e3z7Vs4c2k9g42YVdm+iihld8Uvartvo5HLtft68eWRkZBAUFHRD/bz11lscPHiQHj16cN9995XR6Ko+mcEXQoibWH5eLr9Om4BWkCLOYA7AaNED0LYP1cHV24GcqCii33vfdo77Y4/heu+9V+xzZ/ROXt3wKvlaPgB13esys9vMmzK4v8jF4sIXXb6gnV8727GPd3zM8hPLr3iOQ+PGVH9luK0c9+VXZOzejcXBROcnGgBgNNfEaGmC2d6R+54fTkCjpuV3E0LcRoKCgggJCcHR0fG6+/jiiy/47LPPCAkJ4ZtvvinD0VV9EuALIcRNbMfyxcRGRgCglBmTw70opfCp5UrTLgFo+fmce+NNrOnpAJhrBuHz1ptX7O9g3EFe/P1Fcqx6bvkA5wC+uver69qwqqJZjBYmdJlAaLXCZQDvbn2XtafXXvEcz4EDcbyYHtRq5dzrb5CflkZwU2/qtdY3/DI5dMLF5xnqt+uCUqpc70EIUTpTpkxh+PDhNGrUiPXr1+Pp6VnZQ7qlyBIdIYS4SSWcO8ufS763lY32d2EwemAwKro8GYLBoIj7ciaZu3cXNDDi/8knGJycSuzvROIJnl/7PBl5GQBUd6jOjG4zqO5Yvdzvpaw4mh2Zcs8Unl79NEcTj2LVrPqDt3dP5q4adxVrr4xGaoz7mJO9HsKamkru2bPEjP2AGh9/RMfH63HmrwSy0iEjBbYvP0nHf9WvhLsSVUY5L3u5XUyYMIERI0bQpEkTfv/9d6pXv3V+R90sZAZfCCFuUh6+ftz9zAvYO7tiMPthtLsDgBbda+Ll70zmgYPETp5sa+89bCgOzUpeP34m9QxDfhtCcrYegLjbuTO923QCXK6+s+3NyNXiypf3fklN15oA5FpzeWX9K+y9sLfE9mY/P3xHj7KVk5ctI2X1ahxcLHR4vJ7t+P4NUUSf1L8/Vms++Xm55XgXQty6jEYjAPn5+WXe97hx4xgxYgShoaGsX79egvvrJAG+EELcpJTBQNOu3Qho8jJmh54oZcDD15FW3YOxZmRw7vXXIU/PgONwxx14DxlSYj/J2ck899tzxGbqO7Y6mZ348p4vqeNep8T2twJvB29m3DsDXyc9I05mXiZDfx9KZEpkie3devbEtdeDtvL5UaPJjY6m/p0+BDUq+Ohfg3XfHOHM4b/47r+vsnP5khL7EuJ25+HhgVKKyMiS/70BREZGcuTIETIyMkrd7/vvv89bb71Fy5Yt+f333/H29i6L4d6WZImOEELcxI7vjCHqaAbK6AoKujzVEKPZwPmx/yMnIgIAg6MjNf43DlVCjmirZuXtzW9zJvUMoG8iNanrJBp7N67I2ygXfs5+TL93OgNXDyQhK4HUnFRGbhjJ/B7zsTfZF2vv+847ZO4KJ/fcOazJyZz7v/8jaNYsOvdrwIL3dpCXnU9c5F/8MFoP7OOjztCo8924eler6FsT4qbm7OxMmzZt+OOPP+jXrx/169fHaDTSq1cvmhV8iti/f382btzI+vXrCQsL+8c+586dy7vvvovRaKRjx4588cUXxdoEBwczcODAMr6bqkkCfCGEuEllpuXwxw/HbeWmnQPwq+NG2h+bSfq+cG2+z9tvYwkMLLGP2QdnsyFqg638QYcPaO3butzGXNFqudViyt1T6P9Lf3KtuRxNPMrYP8fyfvv3iz1X/4X1AAAgAElEQVQwa3Rxocb/xnG6/wCwWsnY9ieJ336H51NP0vah2mz+4TgGUyDKWA0tP5a8nGw2zp/Ng69c+aFlIW5X33zzDSNGjGD16tUsWLAATdMICAiwBfjX6tSpU4C+7GfChAkltuncubME+KVUZkt0lFIBSqnZSqlzSqlspVSEUmqCUurKu6wU7+N1pdTPBeemKaVSlFIHlFKfK6VKXCiqlNKu8vqzrO5PCCEqQlJMNAvefYNzxw6z7ce/yUrT14E7e9jR9uHaWDMziR4zxtbepVs33Ho/XGJfO87vYNKeSbZy/0b9uS+46uWRbuLdhLfufMtWXv73cpYeX1piW8dWrfAaPNhWjp0wgdzoaJqGBeBTyxWlDJgdutjqj237g8iD+8tv8ELcourWrcuKFSuIj4/HarWiaVqR4HvDhg1omlaq2XuA0aNHo2naVV9lsSvu7aJMAnylVB0gHBgE7ADGAyeB4cA2pZRXKbt6DqgBbASmArOAeGAEcEgpdccVzjsNjCnhNfN67kcIISrLhnkzOHf0Lxa88zoHfl9mO975iQZY7E3ETZ1GbpS+o63BzQ3fUe+WmNoxJj2G1ze9jlXT8+e3qN6CV1q+UjE3UQkeq/8YD9YuXGP/4fYP+Sv+rxLbeg8biqV2bQCs6enEfPAhBoOiy1N6ZiKDOQCDuYGt/fo5X2Eth4cJhRCivJTVDP5UoDrwsqZpD2ua9pamaV3RA/0GwAel7KeJpmmhmqYN0DTtDU3TRmiaFgYMAVyv0k+EpmmjS3hJgC+EuGWc2hvO37u228oGk74DZHBTL4KbepN17BjxX39tq/d5/TVMXsXnT3Ktuby+6XUSshIA8LL34pPOn2A2mMv5DiqPUop32r1DPQ89K06ONYeRG0basgZdymCx4DdmtK2c+ttvpK5bj1cNZ5p20T8sNjt2AqV/v+LOnGbvmp/L/yaEEKKM3HCAr5SqDXQDIoApl1WPAtKBp5RSJSdmvoSmaVlXqPqh4Gu9K9QLIcQtLT8vl/VzptvKRktjDCY/DEZF+0froVmtRI8aXZg1p1VL3B55pMS+xoePZ8+FPQAYlIFPOn9yS+W6v14OJgc+7/w5Tmb9z83ZtLP8d/N/bZ9iXMqxdWvc+hR+/6LHvo81I4PWPYNxcDGjDC6Y7NvY6rcumk9GiuQ4F0LcGspiBr9rwdc1mlb0t6imaanAFsARaHsD17j4ueuVFkK6K6WeVkr9Ryk1TCl1I9cSQogKt/vnn0g8fxYApewwOXQEoHnXQNx9HElatJjMPXrQjtmM3+jRKEPxX+G/RvzKN38Vbuk+vMXwKvVQ7T8JdgtmbPuxtvLGqI3MOjCrxLbVX3sNo4f+mFjeufPETp6CnaOZNr305TtGuxYoo77Db3Z6OpsXzivn0QshRNkoiwD/4kLFY1eov5gCotTbAyqlnlVKjVZKfaqU+hWYi77O/q0rnNIcfb3+B8Bk9HX/e5VSTa/hmuElvYCQ0vYhhBDXIy0hnm1LFtrKRvt2KIMjDq4WWvUIJi8ujguffWar93rmaezq1i3WT1RqFO9ueddW7hLYhUGNB5Xv4G9C99S8hwGNBtjKk/dOJjwmvFg7k4cH1d98w1ZOmDuXrCNHaNi+Bt6BzihlwuQQZqs/sG4N0X8fL9aPEELcbMoiwHcr+Hqlzy4vHne/hj6fRV/e8yr68p9w4B5N00r6zfo50B6oBrgArYHF6EH/OqWU/zVcVwghKtzmhd+Qm5UJgDJ6YbRrDkC7h2tjcTAR8/E4rCkpAJiDgvB+/vlifVg1K+9ufZeMPH1TmUCXQMZ2GFviA7i3g+Eth9OiegtA/968s+UdMvMyi7Vze+ghHNsULMXJz+f8qFEozUrHx/U5KaO5NgZzLUBf53/2SMkP7gohxM2kInayvfjXRSvtCZqmtdU0TQHe6AE+QLhSqnsJbV/VNG2rpmlxmqalaZq2S9O0x4AlBee/VsprtizpBRwp7biFEOJaxUZGcGjT77ayyaELShmpXtOFkLZ+pG3eQsrKlbZ633ffxWBffBOnRUcXsTN6J6Cvux/XcRyuFtfyv4GblNlgZlyncTibnQE4k3qGL3YX3zhHKYXvqFEos/5Abda+/SR+/z016rlTr5X+3ILJIQwHt0b0/2QKLXs+VHE3IYQQ16ksAvyLM/RuV6h3vaxdqWmaFq9p2m/oQX4mME8p5VDK078s+NrpWq8rhBAVZfOCuaDp8x8GUy2MZj1zTsd/1UfLySb6vfdsbV179sS5Q/tifUSlRvFZeOESnkGNB9G0WqlXKFZZvk6+vNG6cAnOt4e/LXGpjl3tWngNGWIrx34+ntwLF2j3SF1MZgMGoweaoTsxpypiTkwIIW5cWfy2Olrw9Upr7C9mvrnSGv1/pGlaErANfRlOafdXjy34+o/Ze4QQojIknj/LqT2FAafJoQMA9dv44FvbjfiZs8iNjATA4OqKz1vFd1S1alZGbR1lW35Sx60OQ0OHVsDobw0P132Y9v76myINjXe3vFviUh2vIYOxBAcDYE1L48L/PsHF054W3Wva2vy5/CRZ6bkVMm4hhLgRZRHgry/42k0pVaQ/pZQL+vr4TOBGd5W9uJY+r5TtL2bSOXmD1xVCiHLh4edP/08mUS24GQZLIwymapjsjLR7uC65MTHEzyzcyqP6yJGYqlUr1seio4vYEb0D0JfmvN/+fSxGS4Xdw81OKcXodqNtS3UiUyNLXKpjsLPDd/RoWzll5Uoy9+0j9N4gnD3tAMhKy2XXqggAMpKTyM2+UmZnIYSoXDcc4Gua9jewBggGhl1WPQZ9Bn2epmnpFw8qpUKUUkWy0yilahbk1C9GKfUc+sOzZ4ADlxxvUVJ+faVUMwo3xZp/rfckhBAVxbWaP3nW+zE73gtAy+41cfawI/bz8WhZegBp17Ah7o89Wuzcs2lniyzNGdh4oCzNKUFJS3V2x+wu1s6pbRtcunWzlWM+HofJbKB9n8ItWPZvOMmGefOY+fJgdv+yonwHLoQQ16msFhQOBS4AXyillimlPlJKrQNGoC/N+e9l7Q8XvC51B3BCKbVZKTW7oI/pSqn96Ovp04CnNE27dL/wl4HzBdecVJBWcyWwG/ACZgALyugehRCizO37/QyZqbkoZcTZw47QewLJPHCQ5OXLbW183nwDZTQWOc+qWRm1pXBpTm232rI05youX6pzpaw61V971fbAbeaePaT+8gt1WlTDr47+mFlu5hHCV/1AblYmO5cvJjM1peJuQgghSqlMAvyCWfxWwBygDXp6yzrAF0A7TdPiS9HNbmA8YAF6ome/+Td69p3PgEaapm287JxlwFqgCTAAPeBvCfwCPKRp2hBN00qdvUcIISqC1arPU2Sm5rDnt0jb8TsfrIXRZCBm3Me2Y85du+LUtvjefYuPLWZ79HZAX5oztv1Y7Ix25TzyW1dJS3Um7ZlUrJ0lKAiPp56ylS98+hlaTg5te9cBwGhphDLom2NlZ6Sz/ccfivUhhBCVrcxSAmiadkbTtEGapvlpmmbRNK2mpmnDNU1LKKGtKkiDeemxyIKUl3dqmuajaZpZ0zQXTdOaa5r2mqZpZ0roZ5mmaY9omlZX0zTXguv6aZr2oKZpP5XVvQkhRFnJzcpizqvD2P7jD+xYcYzcLD3Y9/B1pEEbX1LX/EbmroIHb00mqr9ePNPvubRzfLZLluZcK18nX15v/bqtPP+v+ey9sLdYO+8XnrftcJt77hwJc+dRo647wU29UMpoexgaYO+vK0mJvVD+gxdCiGsgOb+EEKIChf+8nMRzUWxeOI/dq8Zz8UPGtg/Xgfw8Lnz6qa2tZ78nsKtVq1gfn+z8xLahlSzNuTa96/YuslTn/T/fJ89aNHeD0cWFai+/ZCvHf/UVeXFx+v8jBQZzXZTRF4D8vDy2/CCPeonbS0REBEopBg4cWKb9BgcHo5Qq8eXr61um16rqTJU9ACGEuF1kpCSz86fFtrLB0kz/w1XblVrNvUmYPZvcM/qHlQY3N7xfeKFYH1vPbmVt5FpbecxdY2RpzjVQSjGq7SgeWv4QmXmZHEs8xqJji/h3yL+LtHN/7DESvv2WnBN/Y01PJ3biF/i9/x4N7vTl6PZozA4dyUlbBMBff6yn1QO9qVaz+JsxIcS1cXNz45VXXil23NnZuRJGc+uSAF8IISrI9h9/ICdTf7BTGTwxWvRtPdr1rkN+YiJx0760ta02bBhGd/ci5+fm5/LRjo9s5V51ehFaPbQCRl61+Dn7MbjpYL7Yo6fLnLRnEvcF34envaetjTKZ8HnzTc4M1jfASlqyBI8n+3Hng7U4Hh4DBGIw18Kaewo0jT++m8Mj/zemMm5HiCrF3d2d0ZekrBXXR5boCCFEBUhNiGPfbz/byiaHDihlIKixFzXqeRA7aRLWtDQALLVq4fHvvsX6mH94PhEpEQA4m50Z0XJEhYy9KhrQeABBLvquwak5qSXmxnfu2BGnjh31gtXKhXHjcPGyp0knfVuWS9fin9obzrljlyeHE6LqGT16NLUKlg7OnTu3yDKaOXPmVO7ghI0E+EIIUQF2LFtMfq6+C6oy+mIw6+u52/WuTfbx4yR9X5iNpfobr9tSNV4Ukx7Dl/sKZ/iHhg7F28G7YgZfBVmMFt68s3Bn4KXHl3Ig9kCxdj5vvgEFKUrTt24jbcMGWt0fjNnOiMFYDYOlcEuXrYu+K/+BC1HJwsLCGD58OADNmzdn1KhRtldoaGiRdkopNmzYcE39Z2dnM3/+fD788EMmTpzI+vXryc/P/+cTRRGyREcIIcpZanwcB35fbSubHNqhlKJ+ax+8A1w48/wbYLUC4NiuLc5hYcX6+Dz8c9uDtXXd69I3pPgMv7g2nQI6ERYQxoaoDWhofLj9Q77t+S2GSzZlt6tbF/fHHyNpwUJAT5tZ+6dOhN4bxM6VpzDZtyMn5yigkXA2iszUFBxcXCvpjoQof2FhYQQHBzNx4kRCQ0PLfDlNdHQ0T12SqhagVq1afP3113Tu3LlMr1WVSYAvhBDlbPuyReTn6ZlalNEXgykYg1Fx54O1ydi9h7SLM1xK4fPmmyhVJIswO6N38vOpwuU9/2nzH8yGojP84vq80foNtp7bSo41h4PxB/nx+I/0qd+nSJtqL71Eyk8rsKank/P33ySvWEFo9wc4uDGKzFQPjHYtqduqLt1f+Bcms/x/uZ01nXvrpKs9MKD4J1Zlad68eWRkZBAUFFTqcwYNGkTHjh1p3LgxLi4unDx5ksmTJzN9+nTuv/9+tm3bRvPmzctx1FWHLNERQohylBIXy8F1v9rKJoe7UErRuKM/rt72xI4fb6tzfeAB7ENCipyfZ83jw+0f2sr3B99Pa9/W5T/w20SgayCDmgyylSfsnkBydnKRNiZPTzyfLmwTN2kyZoOVVj2CATA7diLmdE2s+UXfmAlxOwsKCiIkJARHR8dSnzNq1Ci6du2Kj48Pjo6ONGnShC+//JKRI0eSmZkpD99eAwnwhRCiHO1ZveKS2Xs/DKaamCwGWvUIJn3rVjJ27tQbmkxUe3FYsfO/P/o9J5JOAOBgcmBkq5EVNvbbxTNNn8HPyQ+ApOwkJu+ZXKyN54CBhZtfnT1L4uLFNO7oj4uXPQBZ6bkc3Hi24gYtxG3k+eefB2DTpk2VPJJbhyzREUKIcnTXY0/g5O7BHwsWYrTXZ++bhgXg4GImYvwEWzv3Pn2w1KxZ5Ny4zLgiweZzzZ7D10k2eylrDiYH3mj9BiM26FmJfjj2A33q9yHEs/DTFKOzE15DhnBh3DgA4qZNw713b1r1CGb9N0cA2LMmkiad/bHYm8jNysJsb1/xNyMqVXkve7ldVa9eHYD09PRKHsmtQ2bwhRCiHJnt7PHwb4/Z+WkMpiBMFgN33BtE6tq1ZB08CICyWPAeWnxTq6l7p5KWq6fODHYN5qlGTxVrI8rG3UF3086vHQBWzcr/dv7PtsvwRR7/7ovJxweA/Ng4Er/9lgZtfYvM4m/+YROLxr7Nj/97r2JvQIgKZCzILFVR2W22bdsGQO3atSvkelWBBPhCCFGONKvGzlURKGXWZ+87B2DvaCR24kRbG49+/TAXBI4XnUw+ydLjS23lN1q/gcVoqbBx326UUrzV5i2MSg9cdkbv5I+zfxRpY7C3x3voUFs5bsZMyEin1f3BAGjWNPasGk/kgb2cObSfM3/JbK6omjw8PFBKERkZecU2kZGRHDlyhIyMjFL1eejQIRISEoodP336NC+++CIATz755PUN+DYkAb4QQpSjU/viiI/SZ+FNFgOh9waRsnIlOSf+BsDg6IjXkMHFzpsYPpF8TZ8da+vXlg7+HYq1EWWrtlttHq3/qK08Pnw8+daiM5Tuj/TGXJAVxJqcTMLXX9tm8ZXBGaOlka3tNsmLL6ooZ2dn2rRpwx9//EG/fv0YM2YMY8eOZf/+/bY2/fv3p2HDhuzYsaNUfS5atIgaNWpw//33M3ToUN58800effRRQkJCOHHiBD169OC1114rr1uqciTAF0KIMpZ8IZpln4wl+sRxdqw6ZTvetHMADvYQO6lwXb3noEGYCh7evGjPhT2sO7POVh7RckSx1JmifDzf/HkcTA4AnEg6wYqTK4rUK7OZai+9ZCvHz5mLlpxom8U32rfh4p/WM38d4Myh/QhRFX3zzTf07NmT1atXM2bMGN555x1279593f116dKF3r17c+rUKb777js+//xzNm7cSIcOHZg7dy4rV67EYpFPMUtLHrIVQogy9ufSH/h715/8vetPjPZtMTvcZZu9T1qyhNyoKACMbm54DhpY5FxN0/hs12e2co9aPWjk1QhRMbwdvBnYeCDT9k0DYPKeyXQP7o69qfCBWdeePYifMYPsY8fQMjKInz6DBq+/wa5fIkiNd8doaUR+jv58xdZF3/F4o6byBk1UOXXr1mXFihVXrL/WHWw7d+4sG1mVIZnBF0KIMpQSd4G/Nv1uKxtMgYA+e29vzidu6jRbndeQIRidnYucvy5yHfti9wFgNph56Y6XEBVrQOMBeNp7AhCTEcO3h78tUq8MBqq9MtxWTlywAGtsTImz+FGHD3L28KEKGbcQQlwkAb4QQpShXSt+xFqQWUKZ/DGaA22z94nffUdebCwApurV8ej3RJFzc625TNhdmDqzb0hfAlwCKm7wAgAnsxNDmxc+TDvrwCySspKKtHHu0gX75s0A0HJyiJs61bYW32B0K7IWf/vyRRUzcCGEKCABvhBClJGM5CQO/H7JrrX2bQBo0jkAe2Mu8TNn2eq8h76A4bI86T8e/5GIlAgAXMwuDGk6pPwHLUr0SP1HCHYNBiA1N5XpB6YXqVdKUX3ECFs56cdl5Eefo2V3fS8Do31rQF+WE7E3nJiTJypk3EIIARLgCyFEmQn/eTl5uTkAKGN1fddas573PnHhQvITEwEw16iB+yOPFDk3IzeDqXun2spPN30ad3v3ihu8KMJsMPNyi5dt5YVHFnI2rehOtU5t2+LYRn8TR14e8V9NJ6SdHy6e9hiMHhjM9W1tdyyTWXwhRMWRAF8IIcpAdkY6e39dZSub7O9EKUWTMH3tffys2bY6r+eeQ12WDWLuX3OJz4oHwMfRhycbSr7nynZP0D00q6Yvw8m15jJpz6RibS7Ni5+0bBnWmPO0vF+fxTfZ32mrO7ZjKylxF8p5xEIIoZMAXwghysDeX1eRk6lv6KIMHhjMdQtn77//nvyCDVxMfn649X64yLlxmXHMOTjHVh4WOqxI1hZROZRSvNryVVt51clVHI4/XKSN452tcWjVUi/k5hI3c2bhLL6pGgZzbarXuoMnPxyPq3f1ihy+EOI2JgG+EELcoNzsLMJ/Xm4rG+1bo5SBRh1rYG+xEj+rcO291+BnMVw2ez99/3Qy8vQ3B3Xd69KrTq+KGXhZs+ZDZlLJr7ycyh7ddWnh04KwwDBb+dKHoEF/E1Dtkln85MVLsMZd4I5u+mZYZqdeWFV3vINqV8h4hRACJA++EELcsIPrfyMzJVkvKBeMloYYjIrQe4JIWrSY/Ng4QM+c496nT5Fzz6edZ/GxxbbyiJYjMBqMFTb2G6ZpcGYH7P0WDv0I2SkltzPaQUgPCH0S6nSBW+geR7QYwaaoTVg1K1vPbWV3zG5a+LSw1Tu2a4dDaCiZe/ei5eoPUzd84y12rjpFZmouaYnZHNsRTcO7alTiXQghbicygy+EEDfIp3Y9gpvrAZ/JvhVKGWnQxhcnJ0X8jBm2dl6DB2Owsyty7owDM8i15gLQvFpzOvp3rLiB34iUc/DHZzC5FczuBrvnXjm4B8jP1t8AfNsHxjeBtWMg7tbILFPbvTYP1H7AVp6yd0qReqUU3sMuWYv/ww9oSfGE3hNkO7b710isVq38ByuEEEiAL4QQN6xG/RA6PfU6Fpd+GO2agII7ugWRvHQpeRf0ByuN1bxxf+zRIuedTTvLj8d/tJVfvOPFm3/H09hj8O1jML4x/P4exF8WpJudwM7tspdr0Tap52Dz5zC5JczqBpF/Vtz4r9PzzZ7HqPRPHXZE72DH+R1F6p06dMC+aVNAz4ufMGs2TTr5Y3HQPyhPisng2PYowlctI3zVsoodvBDitiNLdIQQogzs/vU0BpMPAHXuqIa7p5kT0y+ZvX/mmWJ576fvn06elgdAS5+WtPFtU3EDvh57v4NVr0JuRtHjFhdo0htC+0FgGyjpTUrMIf38/d9Demzh8TPb4ese0OX/oMPIm3bpTqBrIA/VfYilx5cC+ix+a9/WtjdkSim8h75A1Av6TH7i99/jNfhZmnb2J3z1aaz5CfwyaSTW/EzsHJ1o0uVe7BydKu1+hBBVm8zgCyHEDUq6kMHf4YUpEFt2Dybpx2XknT8PgNHLC49//avIOZEpkSw/Ufhg7rDQYTfv7H12Gvz4PCx7oWhwX6sT9P4KXjsKvSZBUNuSg3sAn8Zw3wcw8jD0XQAhD4ChYI5Jy4d1Y2H+I5AaU/73c52GNBuCqWDMuy/sZtv5bUXqncPCsGvUEAAtK4v42V/TrGsgRrMBZXBH0/Q3eNkZ6exd83PFDl4IcVuRAF8IIa6Dpmkc3fYHebm57FkTiVawvDqwkSfefvbEf/WVra3X04MwODgUOf+r/V+Rr+UD0MavDa19W1fY2K9J9AGYHgb7FhQe86oHz/0BA1ZA875guYaZaKNZf9i277fw8l4IaldYd3IDfNke/l5XVqMvU/7O/jxSt3CDsil7p6BphevqL8+ok7hgAZa8NBq1r4FSBoyX5MXf/fNycnOyK2bgQojbjgT4QghxHSIP7mPlhHHMePEZDqz/xXa85X01Sf7pJ3LPnQPA6O6OR9++Rc49lXyKlSdX2srDQodVzKCvhabBzpkw426IP154vPkTMGQD+DW78Wu4B8KAldDpdaBg5j89Fr55RF/fn59349coY4ObDcZsMAOwP3Y/m89uLlLv3LUrdg0aAKBlZpLw9RxC7w3EYFAYLSGgXADISE7ir42/V+zghRC3DQnwhRDiOuxaqT8cm5GUgDVXT4PpW9sVv9rOxH013dbOc9AgDE5FZ7in7ZuGVbMC0L5Ge+6ofkcFjbqUNA1WjdTX2+cXzDKbnfTlOL2ngZ1z2V3LaIKub8NTP4LTxY2gND1Dz4J/Qd7NNcvt6+TLo/ULH5YuNotvMOD9wgu2cuK33+JkzKb+nT4oZcRk39JWF75qGVZrfsUMXIgyFBERgVKKgQMHlmm/ixcv5qWXXqJjx464urqilOLJJ/95V++tW7fSo0cPPD09cXR0pFmzZkyYMIH8/Nv335cE+EIIcY1iIyOI2BteUFIY7fSgrUX3YFLXrCE3MhIAg5sbHv2eKHLuicQTrD612la+6WbvNQ1+exd2zS485tMUntuoL8cpL3W6wAtboHaXwmMn1sKSZ2+6mfxnmz6LnVFPd3oo/hAbzmwoUu/S7V7s6tUFwJqRQcJ333HHfTVBUZBlST838fw5/t61vULHLsTNbOzYsUyePJm9e/fi7+9fqnOWL19Op06d2LRpE71792bYsGHk5OQwYsQI+vYtx99ZNzkJ8IUQ4hqFryxMbWkw18VgdMezhhM1G3sSP2Omrc6zXz+MzkVnu6ftm4aGPuPbOaAzTas1rZhBl9bmz2HrF4XlJo/Cs2vBu175X9u5Ojy5VM+mc9Hhn2DlcNBunhzy1R2r83iDx23lKXun2D6RAX0W32vwYFs5cd43uLspajevhlIWjHbNbXW7VhT+LAlxuxs/fjzHjh0jJSWFadOm/WP7lJQUBg8ejNFoZMOGDcyaNYtPPvmEvXv30q5dOxYvXszChQsrYOQ3HwnwhRDiGqQmxHF480Zb2WTfCoAW99UkY8tmso8cAUA5OODxVNGPlo8mHGXN6TW28tDQodxUds7U175f1KAH9P4SzPZXPqesGQxw97vQ9pLvzZ75sObtmyrIf7rJ0ziY9AenjyYeZV1k0QeDXe+/H3MNfefa/KQkkhYvoUX3mgCY7EK5+Of33LHDnD16uOIGLsQNGj16NLVq1QJg7ty5KKVsrzlz5txQ3126dKFevXqlzii2ePFiYmNj6du3L61atbIdt7e3Z+zYsQCleqNQFUmAL4QQ12DPLyuwFiwZUSZ/DCY/XL3tqdeqOvGX5L13f+xRTB4eRc6dtq/wD83dQXfTyKtRxQy6NPYvglWvFZaDO8KjX+tZbyqaUtDtAwi95A3Stsmw6dOKH8sVeDt40zek8OP/YrP4ZjOezzxtK8d//TXV/R0ICPFAGZwxWhra6natWFoxgxaiDISFhTF8+HAAmjdvzqhRo2yv0NDQIu2UUmzYsKHcxrJunf7Gunv37sXqOnXqhKOjI1u3biU7++Z6lqciSIAvhBCllJ2Rwb7fCjPmmOz0GaPmdweRtW8fGbt2FVSY8Lrs4bNjicf4f/bOOzyqKm3gv3lSMMQAACAASURBVDM1vUxCqIHQ0hO6SBFCEVAXRQFpUlVc1911Xcvuurqgn6vuWnddXVcUQlFQimBBepcmHQKEGkILJb23ud8fd3JnBgiChDsJnN/zzJPz3nPOPW9wzLzz3resTHdWTXmyzZPUGlKXwNdPgCN0iMYdYMRsfT33l2IwwMB/QcxA57XVr8GW/1W/R2fGx43Hx+QDwJGcI6xOX+02H/TQQxhtNgAqzp4l97vvadevKQBGR7Ktt38A9Zu3dEvUlUhqM0lJSfzhD38AoG3btkyePFl7uRr4epCamgpAZGTkZXMmk4nmzZtTUVHBsWPHdNWrNlBjnWyFEE2AV4EBQAhwFlgIvKIoSvY13uN5oBcQC4QCduAEsBx4V1GUU9XsiwUmA0lAgGPPHOBNRVGKf/EvJZFIJC7sXbWUsmK10ZMwBGMwt8DqayKma0My/vC6ti5w4EAtPKOKT/c4Y/P7NO1DlC1KH6V/jrQNMHes2mwKoF4MjJoHVn/P6gVqhZ3Bn8EXw+CYw3j+4QXwCry5Cb/XSLBXMMOihzFt3zRA7W3Qu2lvLbzA4O2NbcwYLrz/PgCZn35K828GEtLYj8zTYPYbRIf7e9D5/suNE0nd5EB0zM8vqiXEHLy5oWEzZsygqKiIpk2b3rQzcnNzAQgMDLzifNX1nJycm6ZDbaVGPPhCiJbAdmA8sBV4DzgGPA1sEkKEXOOtngAaAWuBj4DPgEzgGSBFCHFZLTkhRGfgJ2AQsAL4F5AH/A1YLoSjXIFEIpHcAJUVFexY/I0mG706IIQgoWcTKk8cpWC103sb8tijbnuP5x5nSZqzcs7jiY9TK8g9DV+OhooSVQ5qppar9LF5Vi9XTFa1KVYTZ5MoFv0WTu/wnE4ujIkdo1XUOZB14LK6+MEjR2hlUsuOHqVw9Wra3R0OgNHcgpQN56kov31L+UluXZo2bUp0dDQ+Pj4e06HqyVit7RJ+E6mpEJ2PgDDg94qiDFIU5c+KovRGNfSjgL9f433iFUVpqyjKWEVRXlAU5RlFUZKAiaieebf7CCGMwDTABxiiKMpIRVH+BHQG5gPdUL8cSCQSyQ1x8eQJSgoLVEH4YLTEYjQZSEhqQtZnn2nr/Pr2wdqypdvez/Z+plXO6d64O3EhcbrpXS32SljwOBRnqbJffRizCAIaelavK2HxhVFfQZjj381eDvMmQEmeZ/VCjcV3rYv/vz3/cwu3MQYEEDzC+bTh4idTaNkhDN8g9UtBcV4Zh7ae009hieQWospDX+XJv5S8vDy3dbcTNxyiI4RoAfQD0oAPL5mehGqcjxZCPKsoSuHV7qUoSkk1U18BnwCX1mnrCcQA6xRF0VxriqLYhRAvAIOBXwsh/qHIAEeJRHID1G/ekokfTeOr15LJPluGECai7myAKe8Cud99r60LfdzdO3+64LRb19onEp/QTeersvafcOJHdSwMakKtrblndboa3sEwfBZ83APK8iH7OHz3DAz+VE3K9SDj4sbxVepXlNvL2X1hNz9l/MQdDZ1PHILHjCFrxkyUsjJK9uyhdMd22vQOZ+OCIwDsWp5OTJeGZJ09RUBoPcxWD+Y+SG6Imx32InEnKiqKbdu2cejQITp06OA2V1FRwfHjxzGZTLRo0cJDGnqOmvDg93b8XKYoLiUEAEVR8oEfUT3sd97AGVVZVnuqOXvJJddRFOUYcAhoBtx+/2UlEkmNU5wvyM+OxeSlJpK17RtO1rRp4OiW6NO5M95t2rjtmbp3KpWO+PbODTrTNkzfJLQrcnw9rPunU+75Z4jo5jl9rhVbCxj4vlPeN08toelhGvg2YFCrQZr8yZ5P3ObNYWEEPvigJmd+8gmxdzXC7GVU5VNHmf23l0n+45OkrHUvtymR1EaMRvW96+lOsb17q2bgkiWXmYGsW7eOoqIiunbtitV6+0Vr14SBX5Updqia+cOOn9ecRSSEeEwIMVkI8bYQYikwHTVx9s83+2yJRCKpjl0rTmrjiMRQ/M0l5Mybp10LucR7f67wHF8fcTYympg48eYr+XMUXlRDc6r8MRF3QY/nrr6nNpEwBNqPccqLn4cLqZ7Tx8GE+AkYhWr0bMnYwq7zu9zmQx6doFYGAgp//BH7sVTiuquJ2PaKs5w9rK7f/v3X2O0yJl9SuwkODkYIQbqja/eVSE9P5+DBgxQVFd00PYYMGUJoaChz5sxhW1UVM6CkpISXXnoJgCefrEUVy3SkJqroVAU2XTkAynk96Dru+RhqHH0VPwEjFUU5crPOFkJsr2Yq+uf2SiSSWxdFURBCUJRXRurmDO16u7ubkjUzGcVRX9krNhbfbl3d9ianJFNuLwegbb22dGrQST/Fr4SiwMInIf+sKvuEwENTwGD0rF7Xy4B/QPoWuJgKFcUwdzw8vhLM3h5TqYl/E+5rcR/fHFWjRT/Z8wkf9f1Im7c0bUrAgAHkLV4MQOaUT0n82xvsWXUKozWeipJNoJSSk3GWo9u20PqOrlc8RyKpDfj5+dG5c2fWr1/PqFGjiIyMxGg0cv/995OYmAjAmDFjWLt2LatXryYpKema7rtw4UIWLlwIQEaG+vd206ZNjHOUHQ4NDeXtt539MAICApgyZQpDhgwhKSmJ4cOHY7PZ+Oabb0hNTWXIkCEMGzas5n7xOoQedfCrgiOvOQZeUZQ7FUURqKUy+zkubxdCXN7JoIbPlkgkEldWTv2YJR+9x6YFm6msUL3eYREBhDUwkf3FbG1dyMTH3So1ZBZnMu+Q07s/MXGi5ys5bPoQDjs76TLo49qZVPtzWHxgaDKYHLHq51Ng6YseVQngsYTHEI6PnfWn17M/c7/bfMjjj2nj/KVLseZl0KpTGEJYMFqdoV3bv1+kj8ISyQ0wc+ZM7rvvPpYsWcIrr7zCyy+/zI4dN1bdateuXUyfPp3p06ezdOlSAI4dO6Zdm+fyxLSKQYMGsXbtWnr06MH8+fP54IMPMJvNvPvuu8yZM8fzf3c9RE0Y+FVe8upSlAMuWXfNKIqSqSjKclQjvxiYIYRwddHU2NmKonS40gs4eL16SySSW4Oi3Bz2rV5GytqV7Prhn9grLgCq9z53/jzsjgoNlmbN8L/7bre9M/bPoKRSrRsQY4uhe+Pu+ip/Kae3w4rJTrnLbyGyX7XLaz31Y2HAm05521RIWeg5fYDmgc3pH9Ffky+NxfeKicH3rrtUQVHInD6ddnerNcJN1jZUfSSfPpjCuWOXPrCWSGoXrVq14ttvvyUzMxO73Y6iKJqnHWDNmjUoinLN3nuAyZMnoyhKta+0tLQr7uvWrRuLFy8mOzub4uJi9u7dyzPPPKPlCtyO1ISBXxX8WF2ce1Xlm+ri5H8WRVFygE1APcC1vtxNP1sikdy+7F7xA5XlaoiNMNZHGEMJCPWieXwQWTNmaOts48cjXD5IcktzmXNwjiY/kfiEZ71IZUUw71G1vCRAo/bQZ5Ln9KkpOoyDWGdyK9/8Xq3t70EeS3B66Vemr+Rw9mG3+ZBHnT0Schd8TZBPOeExwQiDPwaL86Ns+2LpxZdIJL+cmjDwq7q79BNCuN1PCOGPWou+GNh8g+c0dvyscLlWVW7gstAdR/nOSNTk3NuvR7FEIrkhKsrL2bXUWf7S5NUeIQRt+jSlYNkyKs6ocexGm43AQQ+47f38wOcUVaiJZa2CWtGraS/9FL8Sa/+hlpUEsAbAkKlgsnhWp5pACLj/3xDk6JRZmgtL/uRRlaJsUfQKd/73nrJ3itu8T+c78IqNBUApLSX7i9m01bz47bV1qRvXU5CVqYPGEonkVuSGDXxFUY4Cy4AI4KlLpl8BfIEZrjXwhRDRQgi35FUhRDOHUX4ZQogngE7ASWCvy9Ra4ADQQwhxv8t6A/APh/ixrIEvkUiul9SN6yjKdbQ3F74YzJFYfU1Ed2lA5rSp2rrgUSMxeDnrlheWFzLrgLN04+MJj2MQeqQ7VcO5FNj0H6fc/++1u9799eIVqOYSVHHgWzi42HP64F4taWnaUk7kndBkIQS2Rydocvbnn9M4wpuQxn4YTA0QJtWXZa+sYNcyz/4eEomk7lJTnzq/Ac4D/xZCLBRCvCGEWIXaRfYQ8NdL1h9wvFxpBxwRQmwQQkx13OMTIcQe4GOgABitKIpWP8wxHg8UAfOEEF8IId4EtgBDUGvwv1dDv6NEIrlNUBTFLUTCZG2HEEbi72pM+a5tlO5X/3wJLy+CR4502zvv0Dzyy/IBaOrf1C0mW3fsdvj2abA7Hnw26wbtRntOn5tFxCW/1+LnobTAY+rEh8bTtZFaBceu2ElOSXabD+jfH3MjtURmZXY2ed98Q9u7wwH1vVbF7hU/UF5Wqo/SEonklqJGDHyHF78jkIxa3vJZoCXwb6CLoijX8pxxB6oxbgHuA54DRqBWwHkHiFUUZe0Vzt6C6t1fhJqM+wxq0u2rwN2Kosi/jhKJ5Lo4dWAfF9KqIvtMGK0JGIyChKQmZH7m9N4HPfQgpuBgTS6rLGNGijM2f3z8eIyeLEG5fSqc+kkdG8zwq/c83vX1pnH3q+ATqo7zTsHq1z2qjmss/qIji7hQdEGThcmEbdxYTc6alkyrtqF4B1gwmFuBQa0PUZKfx7HtP+mntEQiuWWosefGiqKcVBRlvKIoDRVFsSiK0kxRlKcVRcm6wlrhKIPpei1dUZRnFUW5Q1GU+oqimBVF8VcUpY2iKM8pinLy0vu47N2vKMpQRVFCFUWxKooSqSjKJEVRimvq95NIJLcPO1y890ZLLMLgTauOYRjPn6Bw/Xp1QghsY8e67fv+2PecLz4PQD3vetzf8n48Rn4GrHjFKXd/BupFVb++ruNjg/4uRv2W/8KZXdWvv8l0rN+RxFC1Hni5vdwtbAsgaPBgDAGqIV924gRF69eQ0LMxQhgwWdvjHRjDsFf+QeSddaDDsEQiqXV4MDBUIpFIah85GWc5sm2LJhu91JCJtn2akjV1mnbd/+67sTRrpsmV9kqm7nN690fHjsZi9GAi6w9/glK1jCe2lnDXs57TRS8SH4bmPdWx4ghPqqy4+p6bhBCCCQnOWPuvUr/SQrcADL6+BA8frslZU6cR36MxRpMBk1d7FMM9GEyNb9sa3hKJ5MaQBr5EIpG4sHPJt2rHV8BgisBgDKFR6yCCrEXkfu+sqhMyYbzbvtUnV5OWlwaAv9mfoZFDddP5Mg4thf0uNeF/9R6Yvapff6sghPq7Gq2qfHYX/DTl6ntuIr3Ce9E8UE1oLigv4MvUL93mgx8ZBWYzAMU7d6IcTiGqc31tfvfKah9cSyQSyVWRBr5EIpG4ENGmPY1j4gEweqllC9v0CSd75kxw1MT37tAB77ZttT2KovDZ3s80eVj0MPwsfjpq7UJZIXz/nFNuMwJa9PSMLp4gpCX0fN4pr3oNck95RBWDMDAh3unFn7V/FiUVJZpsDgsjcOBATc6aNpXEPuGafHzXBfIuykhTiURy/UgDXyKRSFxo3q4j8b1+iyVgNAZTMwJCvQhv4UX2HKf39VLv/daMrezL3AeAxWBhVMwoXXV2Y80bkJuujr1t0O/vntPFU3R9GkId+QZlBbD4BY+pcl/z+6jvo3rlM0sy+eboN27zIePHaeP8FSvxL7tIeIyauK0osHP5UXYvX8yWr7/STWeJRFL3kQa+RCKRuKDYFXavOoXBWA8hBIm9w8mbPx97gVp20RIRgV8v98ZVrt77B1s/SKh3qK46a5w/AJs+csr9XgPfEM/o4klMFhj4vlNO/R5Sl3hEFbPRzNg4ZzL2tH3TqLA78wKsrVvj27OHKigKmcnJtOmjNr5SKvPYtmgyKz79iM0LvqS4IB+JRCK5FqSBL5FIJC6cSMkk55zahdbiZSS6UyhZM5ylL23jxyMMzj+dKZkpbDq7CVBDMlyNOd1Z9hJUtQpp1h3ajrz6+luZZl2h/RinvOwlqCz3iCqDWw8m0BoIwKmCUyw/sdxtPmTCo9o49+uFNGoAwQ18wOCPMPgDUFFWyp4VnvmSIpFI6h7SwJdIJBIgfd8e7JWVbomNMd0bUbJ2FRVnzwJgDAkhcNADbvum7nVWzukf0Z9w/3A8wpEV6gsAAff849ateX+t9JkEVrUUJZmHYdu0q6+/SfiYfRgZ7fyy9dnez3BtsO5zRye84uIAUEpLyZkzh8Te4QghMFrba+t2L1uMvbISiUQi+TmkgS+RSG57Lpw4ztz/e5FPfjOBtF2qd1UISEhqTFZysrYueOQIDFarJp/IO+HmjX003umJ1ZXKClj6klNuPxoaxHtGl9qEb6h7edA1b0BxjkdUGRE9Ai+jWskoNTuVH8/8qM0JIbC55HVkz55N63bBWH1NGC1RILwByM+8wJFtm/VVXCKR1EmkgS+RSG57di75FoDCnEzsFRkAtGhXD3Pafkr2qcmzwmoleMQIt33T9k1DQfXEdm/cnSibhxpJ7ZwJFw6oY7Mv9Hrp6utvJzr/GoLUmHaKs2D92x5RI9grmMGRgzXZNW8DIKBfP0wNGwJQmZlJ8bIfiLurMUKYMFoTtXU7f/hWH4UlkquQlpaGEIJx48bV6H3/9Kc/0adPH8LDw/H29sZms9GuXTteeeUVMjMzq923ceNG7r33Xmw2Gz4+PiQmJvL+++9TeRs/8ZIGvkQiua0pzs/jwPo1mmxyNLZq06cpmS7e+8AHHsBks2nyhaILbhVRXMsh6kpJHqx2qZTT/Rnwr1/9+tsNsxf0neyUt/wPso57RJUxsWMwCRMA285tY/eF3dqcMJuxPfKIJmclJxPfszEGg8BkTQTUcKtTB/ZxPu2YrnpLJHrx3nvvUVhYyN13383TTz/NqFGjMJlMTJ48mcTERE6evLw3xKJFi+jRowfr1q3jwQcf5KmnnqKsrIxnnnmG4S7N5G43pIEvkUhua/auWkZFeRkAwhiGMDYirJk/NmM2BStXaetsY8e47fv8wOeU29WkzcTQRDrW76if0q78+D4UXlDHAY2hy1Oe0aM2E/cQNOmkjivLYMVkj6jRyK8R97a4V5OT9yW7zQcNHYLw8QGg9PARRMp2WnUMQxj8MZgjtXU7l3yni74Sid7k5eWxefNmpk6dyptvvskHH3zATz/9xIsvvsiZM2d44403Llv/+OOPYzQaWbNmDZ999hlvvfUWu3btokuXLsybN485c+Z46LfxLNLAl0gkty32ykp2LXN2pzVa2yGEcDS2mqV1tPXtcRfWli21dYXlhXyV6qxLPiF+AsITCa05J2HTh065zySw+OivR21HCOjvYhjsXwjpnolld62ytDJ9JWm5aZpsDAggaLAzjCcrOZk2jsZXVU+WAA5uWENxft7NV1YiuQKTJ0+meXO1Q/P06dMRQmivZJennr8EL68rd9x++OGHATh8+LDb9Xnz5nHhwgWGDx9Ox45OJ4uXlxevvfYaAP/9739vSKe6ijTwJRLJbcvRbVvIv+jwfgtvjJYofAItRLS0kvP119q6kEviTOcdmkd+uVqTvFlAM5LCk3TS+BJWvgpVnVEbtYOEoZ7Roy4Q3gnincYzS18Eu113NSKDI+neuDsACgoz9s9wm7eNGa1VPyrcsIGA0gwatAhEGBsijGEAVJSXsXfVMn0Vl0gcJCUl8fTTTwPQpk0bJk2apL3aunT4TkpKQgjBmjVrbvjMb79Vc08SExPdrq9apT5lHTBgwGV7evTogY+PDxs3bqS0tPSGdahrmDytgEQikXiKHUucMfRGayJCmEjo2Zj8r+ejFKm18K2Rkfh06aKtK7eXM3P/TE0eGzcWo8Gon9JVnNoOe126m/Z/HQzSZ3NV+kyCA99BZSmc3g4pCyBhiO5qTIifwIbTGwBYdGQRv2n7G605miU8HP++fclfrlZnypoxg8RBvyPjWC4mazvKi5Zi9fVz68UgkehJUlISERER/Otf/6Jt27ZMnjy5xs94++23KSgoIDc3l23btrFhwwYSExP585//7LYuNTUVgMjIyMvuYTKZaN68OSkpKRw7doyYmJga17M2Iw18iURyW3LhxHFO7d/nkNRERqPJQOydYZx+cJa2zjZunFv4zZLjSzhXdE6d87Jxf8v79VRbRVFUD3QVMQPVxk6SqxPcDO58Us1bADUWP/o+MHvrqkbH+h2JC4kjJTOFMnsZsw/O5nftfqfN28aP0wz8vG++pfnvnsY3yEpBdhQmFHqPv5/YuyJ01VlybXz461U/v6iW8NTHvW/q/WfMmEFRURFNmza97r1vv/02586d0+QBAwaQnJxMvXr13Nbl5uYCEBgYeMX7VF3PyfFMeVxPIl0AEonktqSqNCaAwdwaYfCndacwyn9cTYXjg8UYGkrAr+7T1imKwrQUZ7OkUTGjsBqddfF14+B3cNIRQ24wQ99X9NehrnLXH8FH9ZaTe1KtqqMzQgjGxzvr3s85OIei8iJN9m7XDi9HKIJSVkbeV18S31MtmWmyxrNv/QW3RlkSSW2kadOmREdH4+Nz/XlBGRkZKIpCRkYGCxYs4NixY7Rr144dO3Zc132q/j/xSI6Uh5EGvkQiue2oKCvj8JaNmlyVwJjQqwlZ05wGfPDIERgsFk3+8cyPHM5Wk7y8Td4Mixqmk8Yu2Cth1WtO+Y6JENKy+vUSd7wCoddfnPKG96AkV3c1+jbtSxO/JgDkleXx9RFnzocQwq1qU/bs2cTcEYrRpH5kX0jPJ+OYTLKV3PrUr1+fBx98kGXLlpGZmcmYMe7VzKo89FWe/EvJy8tzW3c7IUN0JBLJbYfJYmH8+/9j8YdzOJmyH2FsRMNWgfidSyVz/37A0djqkhrKrmUNH2r9EIFWD3xo7J0LFw6qY4u/e6dWybXRfixs/A9kH4eSHHXc+6+6qmA0GBkTN4bXt7wOwMz9MxkWNQyTQf1YDujXj/MNG1Jx9iyVWVmUr15C5B1xHNh4FoA9q0/SsGUgpUWFWH18ddVdUj03O+zldqVZs2bExsaya9cuLl68SGio+hQuKiqKbdu2cejQITp06OC2p6KiguPHj2MymWjRooUn1PYo0oMvkUhuSyzefuRlxWLxe0Atjdk7nMzp07X5SxtbpWSmsCVjCwBGYWR07GjddaaiDNa4lHvs8hT4huivR13HaIZeLjkMmz+Cwou6qzGo1SCCrEEAnC44zfITy7W5SxtfZSYnk9BL9fgrisKhLTtY8OZr/O/JcbJkpkR3jEa1sICenWLPnDnjdjZA797qF6olS5Zctn7dunUUFRXRtWtXrFYPhFJ6GGngSySS25LDP52nOF9tVOVns9I4uOiqja1cvff9IvrR2K+xLnq6sXMmZKepY+9g2dTqRogfDGGx6risQA3V0Rlvkzcjokdo8rR909xi64OGDsHgiF8uO3IU77RdNI5UvxCUF67h+M7NlJcUs2flUn0Vl9z2BAcHI4QgPT292jXp6ekcPHiQoqKiate4cvDgQTIyMi67brfb+etf/8r58+fp2rUrwcHB2tyQIUMIDQ1lzpw5bNu2TbteUlLCSy+9BMCTTz55rb/WLYU08CUSyW2HoijsWe1seZ7Qswk5n3/ubGzVs4dbY6tT+adYdsJZd3x8nDNBUjfKi2HdW065+zPgFaC/HrcKBiP0cgnL2ToFck/rrsbw6OF4GdXmPgeyDmhPiUBtfBU4xKXx1fQZJPYKRwiByepsfLV7+WLsOnpSJRI/Pz86d+7M+vXrGTVqFK+88gqvvfYae/bs0daMGTOGmJgYtm7dek33XLJkCeHh4fTp04eJEyfyl7/8hQkTJtC6dWtef/11GjRowJQpU9z2BAQEMGXKFCorK0lKSuKxxx7jhRdeoG3btmzatIkhQ4YwbJgHcqVqAdLAl0gktw0XT55gxacfcuDHfVw8WQCAyWwgqo0/OQsWaOtslyRyzdg/A7uiNkW6s+GdxIR4oJ7yT59Cvhp/jV8D6PS4/jrcakTfB43aq+PKUlj3T91VsHnZeKDVA5o8bd809/nR7o2vGvrm4G/zwmCJAqGW98y/eIGjO67NiJJIaoqZM2dy3333sWTJEl555RVefvnl665y40rfvn2ZOHEimZmZLFiwgLfeeov58+djs9mYNGkSKSkpxMbGXrZv0KBBrF27lh49ejB//nw++OADzGYz7777LnPmzLktK+iATLKVSCS3EbuWfs/u5T+we/kPGL3uxOzdlcg7G1CyeJGzsVXrVvh2ddaUzynJYeGRhZrsWt5QN0ryYP27Trnn82C5/tJzkksQAvr8DWYOUuUdM6Hr73WvSjQ2dixzD83FrtjZeGYjqVmpRNmiALXxlV+f3hSsWAlAzqxZJCQ9ysYFRzBaE6gsUQ37XUu+o3WnLtWeIZHUNK1atdI6zF6J6+1gGx8fz4cffviLdOnWrRuLFy/+RXtvVaQHXyKR3BaUFhWyf50zxt5oCgcg4a6GZM1ydqYNHjPGzeMzJ3UOxRXFAETbounS0ANG1OaPoDhLHQc1hXZjrr5ecu20SIKIu9SxUglr3tRdhfCAcPo27avJ01Omu82HjB2rjXMXLSIy3huTxYDJmgio79X0fbvJPHUSiUQiAWngSySS24SUtSspLy0BQBhCEKYmNIkOxrJ/MxVn1NAXY3AwgQMHantKK0uZfXC2Jo+JHaP/496iLLWMYxVJL4LJUv16yfUhBPR+2SnvnQvnUnRXw/XJ0A/HfyCj0Jls6N2xI9ZYNSxMKS2l+JsFRN3ZEGEIwGB2Pm3Ytew7/RSWSCS1GmngSySSWx7FbmfX0u812ejVDiEECUlNyHIpjRk0fBgGLy9N/vbot2SVqJ7zBr4NGNB8gH5KV7HhPSjLV8ehUZD4sP463Oo07QyRVf9tFVj1d91ViA+Np0N9tY53hVLB5wc+1+aEEG55IdlffEFC9/oAGK1ttespa1dReo0VSyQSya2NNPAlEsktz4k9O8k+66iQIqwYLdH4h3hRnzMU79ypXjebCR7hyYz9rQAAIABJREFULFloV+xuoRKPxDyC2WDWU23IOwtbP3HKvV9Sq79Iap7eLznHqd/DqW3Vr71JuFZnmntoLvlVX+yAgHvvxVhPbe5Tcf48pt0baBIdjMEUjjCo/RrKS4pJWbtSX6UlEkmtRBr4EonklmfnUmfogtEShxAWEpKakDNrlnY98N57MIeFafLak2tJy0sDwM/sx+DWznKFurHhXahQw4po2BZiBl59veSX0yAB4h5yyqte012Fu5rcRfPA5gAUlhey4LCzspPBYnH7Apo1fToJSU0QQrh58Xct/Q7FbtdPaYlEUiuRBr5EIrmlyTmXwbGdTm+s0doGk8VA69Ym8ly6HwZfUhozOSVZGw+NHIqfxe+m6+pG3hnY7tSB3i9r5RIlN4lefwXh+Fg8thrSt1x9fQ1jEAbGxjoTamfun0m5vVyTg4cPR1jU/IuSffsIq0gnINQLozUWhJWwFm3oM+FJ+T6RSCTSwJdIJLc2u5cv1hpYGUwRGIzBRHZuQNGCL6GiAgCfjh3xjovT9uy5sIcd59V6ziZhYmTMSP0VX/8uVJap4yadoFUf/XW43QhtBQkuOQ5r9a+o86uWvyLEKwSAc0XnWHLc+SXUZLMRcL/zKU7OjBnE92yCEBasgY9h9n2Apgltbtu63xKJxIk08CUSyS1LeWkJ+1Y5O9AavdRQhvg7Q8n58kvtevDY6r3397a4lwa+DW6uopeSexp2uJRKTPqz9MrqRY/nnV78o6t09+JbjVa3L5TTU6ajOL6ggnsTtvwVK2gVASaLASGsZJ4q4OyRXD3VlUgktRRp4EskkluWwuxsbI3VevfCEIjBFEHjqCBMP62kMlc1hMxNmuDfu7e252TeSVamOxMVx8R6oOb8hvfcvfctpfdeNy714q95Q3cVHo58GG+T2qU2NTuVTWc3aXNekZH4dnX0YrDbKVowh8jOzi+ge1bLWvgSiUQa+BKJ5BYmqEFDhv7tTfzqj8Xk0wchDCT0bEzWjBnaGtvoRxBGZ2WaGftnYFfUJMWujbpqHUV1Q3rvPU/PFy6Jxd+s6/FBXkEMajVIky9tfOWaL5Izdy5xd4Ro8rFdF8k+l8f+9aspLyu9+cpKJJJaiTTwJRLJLc3hn85TURaC0RyBn81KvfxUyo4dA8Dg60vgYGd1nJySHBYeWajJY+PGXna/m4703nuekJaQOMwpe6C77ejY0RgcXzI2ntlIalaqNufXoweWiAgA7AUFmDYtoXFkEADlRduZ8fzj/PCfd0jduF53vSUSSe1AGvgSieSWRVEU9q45pckJPZuQM3OmJgcOfgijn7M6zpepX1JSqZaljAqOokvDLvopC5B7Snrvawuusfge8OKH+4fTt2lfTZ6x3/nUSRgMBI8ZrclZs2aRkNTYIVVSUVoIOEpmusTvSySS24caM/CFEE2EEFOFEGeEEKVCiDQhxPtCiOBr3O8rhBglhPhCCHFQCFEohMgXQmwTQjwrhLhib3YhhHKVl75/kSUSSa2goqwMxW4n41geF9LVZkFGs4GWjUoo3LBBXSQEtkce0faUVpbyxcEvNHls3Fj9q5G4ee/vkN57T1ILvPiuT5AWH1tMRmGGJgcNGoQhIACA8vR0QrNS8LNZMVriATXk7NyxI2QcOaSrzhKJpHZQIwa+EKIlsB0YD2wF3gOOAU8Dm4QQIVfZXsVdwCygP7AP+ACYDTQG3gZWCyG8qtl7AnjlCq9Pf+GvJJFI6jA/fTufqc88warkL1Dsqkc+8o76FM2bra3x69MbS9Ommvzt0W/JKskCIMwnjAHNB+irdO4p2OH00krvfS3Aw178xHqJtA9rD0CFUsHnBz7X5gw+PgQ/PFSTc2bNJKFnE4TBG6MlWrvu2uRNIpHULElJSbW2LG1NefA/AsKA3yuKMkhRlD8ritIb1dCPAv5+DffIAB4BGiqKMsRxj4lAJLAD6Ao8Vc3eNEVRJl/hJQ18ieQ2o7Kigj3LfyAn4ywZh77HXpEGQFyHAHIXLdLWuZYbtCt2t0TG0TGjMRvMuukMXMF73/vq6yU3n1rgxR8XN04bzzs0j4KyAk0OHjkSHAniRZs306J+IUazAaO1jbbm0Kb1FOXm6KavRCKpHdywgS+EaAH0A9KADy+ZngQUAqOFEL5Xu4+iKLsURflcUZSyS67nA+84xKQb1VcikdzaHN22mYJs1ROP8MFgbk3DVoEYNyxGKVG9+daYGHw6ddL2rDu1jrS8NAD8zH4MiRyir9LSe1976fE8CEeVJQ948XuG9yQiIAKAgvIC5h+er82ZGzXCv9/dmlw093MiO9XHYGqAMKqlMysrKtjr0gtCIpHcHtSEB7/KzbRMURy15Rw4jPMfAR/gzhs4o6pXd0U180FCiAlCiBeFEE8JIW7kLIlEUofZtfR7bWy0JiCEkYQeDcn+3BneYBszxu2xqmtjqyGRQ/CzOBNvdUF672svl3nx9a2LbxAGt1j8WQdmUW4v12TXJ1F5335HbDt/AEzWttr13St+wF5ZqYO2EomktlATBn5VkejqMnkOO35G3sAZExw/l1Qz3wb4DDUU6D+ocf+7hBAJN3CmRCKpY1w8eYKT+/c6JIHJmohfsJXQczupOHcOAGNICAH33avt2XthL9vPbQfAJEyMihmlr9J5Zy7x3v9Jeu9rGz2ec4nFXwMnt+p6/MCWA7F52QDIKMxgadpSbc67bVu8EhMBUMrKMK7/hoatAjFYIkGozbLyL17g6A59dZbc+qSlpSGEYNy4caSlpTF8+HBCQ0Px8vKiY8eOfPfd5fkfpaWlvPnmmyQmJuLj40NAQAB33XUXX3311VXvf+jQIYYNG0ZYWBgGg4E1a9YAzhj48vJyXn31VVq2bImXlxfR0dFMmTJFu9fHH39MQkIC3t7eNGnShEmTJmG32y87Mzk5mcGDB9OiRQu8vb0JCAigW7duzJo1q+b+4XSiJgz8QMfP6vpjV10P+iU3F0L8FhgA7AKmXmHJu0A3oB7gD3QC5qEa/auEEI2vsOdK52y/0guI/tnNEomkVrBr2WJtbDC3Qhj8iburMTmznAZ08IgRGCzOolyu3vt7mt9DA19nV1Bd+PFfTu99446yck5tJKSle3fbtf/U9Xir0cqI6BGaPD1lulb+Ugjh5sXPnj2b+O4NEMKE0RqvXXd9siWR1CQnTpzgjjvuIC0tjdGjRzNs2DD27dvHAw88wOrVq7V1ZWVl9O/fn7/85S+Ul5fz1FNPMXr0aM14f/HFF694/6NHj9K5c2fS0tIYNWoUEydOJMBRQaqK4cOH88knn9CnTx8effRRsrOzmThxIsnJyfzxj3/kr3/9K+3bt+eJJ57AYrHw6quv8tZbb1121pNPPklaWho9evTgD3/4A8OHD+fEiROMHj2al19+uWb/4W4yJh3OqHJFXXcxXiHEQ8D7qAm4gxVFKb90jaIoz15yaRswVAgxDxgMPAc8c71nSySSukVpURH7163SZKO1DQaToEVwFud27wFAmM0ED3eGW5zMP8mK9BWarHtjq/xzsD3ZKfeU3vtaS4/nYM+XgAJHlsPpHdC4vW7HD48azmd7P6OksoSDWQfZfHYzXRqpfRoC+vfj/D/DqDh/nsoLF2lwdhu+QaEUVLahsmQboJBx5BDF+Xl4+wdc/SCJ5DpZs2YNkydPZtKkSdq1kSNHMmDAAN566y169eoFwDvvvMPatWu55557+OabbzCZVBN00qRJ3HHHHbzxxhv86le/omvXrm7337BhA3/5y194/fXXq9UhPT2dffv2ERSk+pKfffZZoqOjeeaZZwgKCmLPnj00bqz6eydPnkyrVq14++23efbZZzU9APbt20fLli3d7l1WVsY999zDm2++ya9//WvtPrWdmjDwqzz0gdXMB1yy7poQQgwC5gDngV6Kohy7Tr0+RjXwe1zLYkVROlSjx3ZAv7/iEonkF7F/3UrKS4oBEIYQDKZwWnesT/FcZzGtgF/9ClNoqCbP2j8LuyN1qEvDLkTZotCVjf+GCjXxl4ZtofXdV18v8RyhrSH+IdjnSHJd9xaMmH31PTVIkFcQg1oNYk7qHED14lcZ+MJsJnjUKC689x4A2TOnE/foO2z9thSjtR2BYQ0Y9X/jsHj76Kbv7czGuZ+zad61vTcS+vSn38TfuV1b9skH7F25tJod7nQZMoKuQ93DCr/+xysc2/HTde25EZo1a8ZLL73kdq1///40bdqUrVudoWFTp05FCMG7777rZlSHhYXx8ssv89hjj/Hpp59eZuDXr1/f7cvDlXjzzTc14x6gRYsWdO/endWrV/POO++4GeVBQUEMHDiQ5ORkTp8+TbNmzbS5S417AIvFwlNPPcWqVatYuXIlY1yemNVmaiJEp6p/dnUx9q0dP6+524YQYigwFzgH9FQUJfVntlyJC46fV63eI5FI6j6KoriF5xitbRBCEJvgRd5SZwURm0v3z9zSXL4+8rUmj4sfp4uuGoUXYZtL1GHPF6T3vrbT43nnOHUxnN2t6/FjYscgHA/FfzzzI6lZzo/GoIeHIqxWAEr3H6BFwAUMJoHZJ4migmiyz1VXo0IiuTHatm2L0VGu1ZXw8HCys7MByM/P58iRIzRq1Ijo6Msjn3v3VgsL7Ny587K5Nm3aYHW8t6ujY8eOl11r1KgRAB06XO6/rTL4T5065XY9PT2dp556iujoaHx8fBBCIIRg8ODBAJw+ffqqetQmasLArwqw6ieEcLufEMIfNT6+GLim2mJCiJGoDa7OoBr3h39mS3VUVdK5Xs+/RCKpY5xM2UPW6ZMOyYLRGkv95gGY1nwNjuohPnfcgVdMjLbny9QvKa5QPf6RwZF0adhFX6U3/QfKi9Rx/QSIuvfq6yWeJywGYh9wyusuj+G9mYQHhNO3WV9NnrHfmVtiCg4m8AGnbsVfzaJ1h/qavHeNuyEjkdQUrp5zV0wmk5bImpurBnE0bNjwimurrufkXN6zoUGDn8+LCgy8PIik6inB1ebKy52R38eOHaN9+/Z8/PHHNGjQgMcee4yXXnqJSZMmMXasGr5ZWlr6s7rUFm44REdRlKNCiGWotfCfQu1AW8UrqB70/ymKUlh1UQgR7dh70PVeQoixqIm0J1DDck5c7WwhRHsg1fXejuuJOJtr1b3UZ4lEcl2ENGlK54eGs3XRdxhMLRHCQnzXMLKfm6utsY11PlYtrSzliwNfaPK4uHH6diMsyoKtzgoP9Hxeeu/rCj2eh/2OhmkHvoVz+6F+rG7Hj4sbx/ITywFYfHwxv2/3e+r7qoa8bcxochzVSPJXriT6kd+RukXdd3jbObo+1AqfAMsV7yupOboOHXVDITD9Jv7usrCd6+HBP109nMUTVBnZGRkZV5w/e/as2zpX9Prb/O6775KZmcm0adMYN26c29zs2bOZPn36lTfWUmqqk+1vUGPl/y2EWCiEeEMIsQo1ufUQ8NdL1h9wvDSEEL1QjXsD6lOB8UKIyZe8/nDJfX4PnHWc+YEQ4m0hxHeonW9DgCmoTwMkEsktjG9QMA1a9cPi/ygmr254B1gIPbkRu8NrZA4Pxy8pSVv//bHvySzJBCDMJ4wBzQfoq/Dm/0JVR9J6MRA9UN/zJb+cBgkQdZ9T1tmLn1gvkfZhalpYhb2Czw86+ztYW7XCt1s3VbDbMa+aT1iEmgZXWW5n04INLP7gbU4dTNFVZ4nE39+fli1bcvr0aQ4fvjwwo6raTvv2nkt5PHLkCIAWjuPK2rVr9VbnhqkRA19RlKNARyAZ6Aw8C7QE/g10URQl8xpu08xFnwmoXXAvfV1q4C8EVgDxwFhUg78D8APwgKIoE5WqWmISieSWZs/qkwhhRBi8iOvekNxZM7U52+hHEI4YUbtiZ3qK0xMzOmY0ZoNZP0WLc2DLx065x3NgqClfi0QXerrE4qd8DRd+SZrYL8e12tPc1LkUVH1ZxP1JVc78+cR3qQdAZckWdv3wLgc2rGHnksvrk0skN5sJEyagKArPP/88lS6N1y5evMj//d//aWs8RUREBIBWY7+KpUuX8umnn16+oZZTY58qiqKcVBRlvKIoDRVFsSiK0kxRlKcVRcm6wlqhKIq45Fpy1fWrvCIu2bNQUZSHFEVppShKgOPchoqiDFQU5Zua+t0kEknt5uKpfM4eUb31BoOgueUUZcfU9BuDry+BDz2krV1/aj3HctU5X7MvgyMv99bcVLb8D0rz1HFIa4h7UN/zJTdOo3bQup9DUGD9O7oenxSeRERABAAF5QXMPzxfm/Pt3h1L8+YA2AsKCD2+Dm9/MwaLszrIka0bKci6Fr+bRFJzPPfcc3Tv3p1FixbRpk0bXnjhBX77298SFxdHWloaL7zwAt27d/eYfr/5zW+wWCwMHTqUUaNG8cILL3Dvvfdyzz33MGTIEI/p9UuRbiOJRFJnOXfsCNlnT7N3tTOBsGX7epTMdXrvg4YMwejnp8nTUqZp46GRQ/G3+OujLEBJHmz+yCn3eB4Ml1efkNQBerzgHO+dC5lHdTvaIAyMiXN66mcdmEW5XU0WFAaDmxc/9/OZxHVviMFYD2FSK4fYKyvZs7K6xvASyc3BYrGwfPly/v53NUXygw8+YPr06bRu3ZovvviCf/zjHx7VLzExkdWrV9O1a1cWL17Mf//7X/Ly8liwYAG//vWvParbL0HICJarI4TY3r59+/bbt2/3tCoSieQSZr/8PGcOHcBoicDolYTBaGPg8DAKfz1UXWAw0HLZUixNmgCw58IeRi1Wk99MwsQPg3/Qt3Pt+ndg5avqOLg5/HYbGPXoNyi5KcwYBMccheTajoJBH119fQ1SUlFC//n9ySpRH5K/3v11BrZUcznsRUUc7tVby0Gxvf0fFiw2UF5ykPJCtaOtb7CNx/8zFaNJvv+uhwMH1PTBGJeKXBLJtXCt750OHTqwY8eOHdX1Z7pWpAdfIpHUSc4dP8qZQ+ofzMqydISwEhruh2nFV9oa/z59NOMeIDklWRvf2+JefY370gLY9KFT7vGcNO7rOj3/5BzvngPZabod7WXyYmT0SE1OTkmmymFn8PEh+OGh2lzJl9Np0a4eBnMrEGprmMLsLI78tEk3fSUSib5IA18ikdRJdi39XhsbzK0RBl/i7rCR960z/cY1VCE9L50VJ1Zosmuioi5smwpFjrjnoKaQOEzf8yU1T7MuEHGXOlYqYf27uh4/LGoY3iZvAA5lH2LjmY3aXPCoUeBILC/66SeimlcghBGjNUFb4/r/kEQiubWQBr5EIqlzlBQUcPBHZ9kyk1c7vHzNhB5eieJoROIVF4e3SwfDGftnoKB6OLs17kZkcHXNt28CZUWw8d9Oufsfwahj5R7JzaOnSyz+ri8g52T1a2uYIK8gHmzlTNJ2zS8xN2hAQP/+TnnZHPUJlzWRqo/+Uwf2cSE9TS91JRKJjkgDXyKR1Dn2rVlORZlqyAtjPYSxITFd6pM/21kT3DZ2jNYgJbM4k4VHFmpzE+J0LsW2YzoUXlDHAU2g7cirr5fUHSLugqaOLsj2cvjxfV2PHxM3BqNQPfVbzm5hf+Z+bc42zvmUKu+HxcR1CEQY/NRQHQe7lsqSmRLJrYg08CUSSZ1CsdvZvWyxJhutbTEYDURUplJxQTWiTfXqETDA2bxqTuocSivVLwSxIbF0atBJP4XLS2CDi9HX/Q9gsup3vuTmIoS7F3/HDMg7o9vxjf0a069ZP01O3pesjb0TE/Fu21YVyssJObgML18zJmsbbc2B9WsoLXJrBi+RSG4BpIEvkUjqFGm7d5BzTm1rjrBitETTvE0opV8ma2uCR41EWCwAFJUXMfugs6H1+PjxurU+B2DnTChwtGf3awDtRut3tkQfWvSCxh3VcWUZ/Pjvq6+vYcbFj9PGy04s43TBaU129eLnfzmbmC5hCFMThCEEgEZRMRTn5emmq0Qi0Qdp4EskkjrFrmXOxECjJQ4hzEQ1KqRkvxqaIKxWgoY5E1gXHllIbqlaLrCxX2P6Nu2rn7IVpbDhPafc/Q9g9tLvfIk+COFeUWf7NMg/p9vxsSGxdG7YGYBKpZKZ+519IPz79sXUqKE6l51Ns5IUDAaB2bcvloDx9Br/J4IaNNRNV4nkdsQTJemlgS+RSOoMueczOLZzmyYbrW0IaeyLeakz9j7w/vsxBQcDUGGvYMb+GdrcmNgxmAw6lqbc9QXkObypvvWgvc6VeyT60fpuaOgIh6kogU0f6Hr8+Ljx2njB4QXklOQAIEwmbKMe0eZKv5xG87b1MJgaYzAGuzWJk/w8VU//7Ha7hzWR1CWqDHw9nx5LA18ikdQZDm/ZCFW1vk3NMBiDiW3jS8HKldoa19KYK06s0MIVgqxBDGo1SD9lK8thg0vZxK6/B4uPfudL9OXSWPyfPoPCi7od37VRV60yVHFFMV+mfqnNBQ0dgvBR33ulh48QWS9Xm0vdkkFJYbluetZ1rFY1f6awUOYtSK6dqvdL1ftHD6SBL5FI6gwdfvUgSWNfwmCJxujVHquPiZC932tGv2+3blhbqRVCFEVxKxs4PHo4PmYdDew9X0JOujr2tkFHnSv3SPQn6l6o76gzX17k3tjsJiOEYFzcOE3+4uAXlFSUAGAMCCDoQWc5TdPSmYQ0VhteVZTZObjpLJUVFZQVF+mmb13F398fgIyMDPLz87Hb7R4Jv5DUfhRFwW63k5+fT0aGmodV9f7RA9lGUSKR1BmEEJw+bMXiey8A0Z1CKXh7rjbvmlC4NWOrVjLQarQyInqEfopWVsC6t51y19+C1U+/8yWeQQjo+Tx85XiKtPUT6Po78LHpcvyA5gP4985/k1GYQVZJFt8c/YaHox4GwDb6EbI/V0PZitauI+aN37DhdCGKvZDN82ezeW4KcUl9uGuEDCO7GjabjcLCQoqKijh1SoY3Sa4dHx8fbDZ9/haA9OBLJJI6RHZGIScPZAOqLRWeux2749GnpWVLfLt109ZO2+f03g9qNQibl35/WNk3H7KPq2OvIOj0uH5nSzxL9ECoF6OOywpg8391O9psMDM6xlmlaXrKdCrtlQBYIiLw69VLm7PtXITVx4S94iyFWespzMli78qlVJSV6aZvXcRgMBAeHk69evXw8vLStyKXpM4hhMDLy4t69eoRHh6OwaCf2S09+BKJpM7gmhAYkRBC2VevabJt7BiE44/nwayD/HjmRwAMwsCY2DHohr0S1r3llO/8DXgF6He+xLMYDNDjOZj/qCpv+R90eQq8g3Q5fnDkYD7e8zH5Zfmk56ezMn0l/SLUOvm2ceMoWL0agMJvvib6hYfYtbYFGPzBnk9xfh6HNm8gtkdvXXStqxgMBkJDQwkNDfW0KhJJtUgPvkQiqfX8+NUstn33DQc2pmvXWvpnUHFGrYdvDA4m8P77tbmp+6Zq475N+9I0oKl+yu5bAJmH1bE1ADo/od/ZktpB3IMQ0lodl+bClo91O9rX7MvwqOGaPHXfVC1G3OeOTlhj1acLSkkJ4Rc2YzAYMFmcja92ys62EsktgTTwJRJJraYwJ5ufFs1j7cxPKDj/XxR7AbZGvli+c4bgBI8YgcFLrS9/Mv8kS9OWanMTEnRMbrVXwrp/OuXOv9bNcyupRRiM0ON5p7z5IyjO0e34kTEjsRrVah0pmSlsydgCqOECIePGaetK500nIsGG0RoPGAHIOHKIs0dSddNVIpHcHKSBL5FIajV7Vy2jsqICAGEMQRj8iGqpULJ7t3rNbCZ4pDOBdnrKdOyKWqP6zoZ3EhcSp5+yKV/DxUPq2BoAdz6p39mS2kX8YAhRKzpRkquG6uhEqHeoW0nYqXudT7QCBgzAFBYGQOWFi7SwnEQYfDBYorQ1u5Y6m8lJJJK6iTTwJRJJrcVeWcnu5Ys12WRti8XbhG2Ls3JOwMCBmByxsJnFmSw8slCbmxCvs/d+rav3/gndqqdIaiFG0yVe/A9VQ18nxsaNxSDUj/hNZzeRkpkCgLBYCB41Sltn/vYzbA19MVnbatdSN62nKE8/XSUSSc0jDXyJRFJrObJtMwVZmaogfDBYWhPVxp/iFUu0NbaxzrJ+Xxz8gtLKUgBiQ2K5s+Gd+im7fyFcdIQ2WPzV5FrJ7U38ELC1UMclubDlE92ODvcPp3+z/prsWlUqeNjDCG9vAMpSU4mKKMNgaoAwNgCgsrycvauW6aarRCKpeaSBL5FIai27ljgT/ozWBAwGE03SV4OjTbxv1654RandOwvLC5l9cLa2fkL8BP1K2Nnt0nsvuRyjCXq4dLfd9B8oydPt+PHx47Xx8hPLSc9Tk9SNQUEEPegM4QnaOBurj8nNi797+WLslZW66SqRSGoWaeBLJJJaycX0NE7u3+uQBCZrIs1igyhf+Lm2xjZ+nDaed2ge+WX5ADT1b0rfpn31U3b/QrhwUB1b/NSyiBIJQMJQFy9+DmzVLxY/JiSGro26AmBX7CSnJGtzwaNHq80kgNK1q4mK98FgiQShevbzL17g6I6tuukqkUhqFmngSySSWsmuZc5EP4O5FcLgT/PKg9iLigCwtGqJb/fuAJRXljNj/wxt/bj4cRgNRn0Uld57ydUwmuCu55zyRn29+I/GP6qNFx1ZxMXiiwBYmzd3a3zV6NhyDAYTRmsCwhBIpwdGEx6ToJueEomkZpEGvkQiqXWUFBaQsm6VJpusbbE19MG06FPtmm3sWC0E57tj33G+6DwAIV4h3N/yfnTjwCK4cEAdW/ygy2/1O1tSN0gcBsHN1XFJDmzVLxa/U4NOxIfEA1BmL+PzAy5PwMY581fKv/2SiNhATF6dsQRMwK60wcvPTzc9JRJJzSINfIlEUuvYv3YlFaVqsqwwhCBMTYgMy6XyrKOxlc1G4MCBgBp6MC3FmUD4SOwjWg3wm47dDmv+4ZTvmCi995LLMZrU7rZVbPoPlObrcrQQwq0XxJcHv6SgrAAAn05GvTmIAAAgAElEQVSd8IqNBUApLSWiZC9CmBFCkLo5g5LCcl10lEgkNY808CUSSe1DCCzeqvfQ6NUOLz8zgaudITiuja3WnFzD8dzjAPiZ/RgWNUw/PQ984/Tem32l915SPYnDIKiZOi7O1tWL3zu8NxEBEQDkl+cz95BaZlYI4ZbHYlz0GSGNfQGoKLez/8czuukokUhqFmngSySSWkf7e+6nccIzmH36Y7REE9nKSPmeHYCjsdWI4QAoisJn+z7T9g2NGoq/xV8fJS+LvZ8IviH6nC2pexjN7nXxN+rnxTcajIyLG6fJM/bP0MrJBvTvj6l+fQDsFy/SOvCCtm7vmlNkHD3Mib27dNFTIpHUHNLAl0gktY7M0wWcPVyI0RqHwWilwV5n86qAB+7XGlv9lPETey7sAcBsMDM6ZrR+Sh5YBOfV5kGq9/53+p0tqZu0Ge7ixc/StbvtwJYDqeddD4CLxRdZdGQR4Gh89Yiz8ZX/sil4+ZmxV2aTmTadz198hpVTP0ZRFN10lUgkN4408CUSSa1jz6qT2jiitQ+Vq50VdULGO2t7T9k7RRsPajWIej719FHQXgmr33DKdzwuvfeSn+cyL/4HunW3tRgtjI1zJtVO3TeVCnsFAMHDhmHw8QGg8sghWjerQBh8USrVijvZZ05JL75EUseQBr5EIqk1lBUXUVJQTurWc9q18PM/gsN76JeUhLVlSwD2XtjL5rObATAKo1tTn5vOvvnuXWu7Pa3f2ZK6TZvh7hV1Nn2k29FDI4cSaA0E4HTBaZakqR2hjQEBBA0dqq0L2z4Xo9GK0RqrXdu55Fvd9JRIJDeONPAlEkmtoLykhCm/e4w5k/9GWVEaiqIQ2sgb02Jncq1twpW99/c0v4dw/3B9FK2sgDVvOuU7n5SVcyTXjtEMSX92yps/gqIsXY72MfswKsYZjvPpnk//n737Do+qSh84/j3T0nsICQkECL1XEekgKvYVEXVtNHURwa7bbKu7tl3RXctPURArCIr0XkV66J1gINTQQkhPZs7vjzuZAQQEMndIeT/PM0/ue+be8578keTkzCm4tHEqdPQD94PVODtCL19AcooDa0Brz727U1eRdfiQX9ophCg76eALIcqFLUsWUHAqm2MZGynJmwtAXbUL3NtlBjZrRnD79gDsPLGTBRkLPM+efpiP6TaMg+NpxnVghJxaKy5d834Q28C4Lsw2pur4yb2N7iXYZkzHSTuZ5vk5sicmEn7DDZ77amYswGKNwmKrbRRozbpZU/3WTiFE2UgHXwhxxWmtz5gCYA1oRXCYg7AZ3q0EYwYO8BxsNWqj98CrnjV7Ui+qnn8a6iyGRafte9/xcQiK9E9uUXlYrGeO4q/4P8g96pfUEQERZ2wlO2rDKM8C2ujT1rdY53xHtRqBWANbeco2LZxDcUGBX9ophCgb6eALIa64jM0bOLZvrzuyYw1oSkpMFvq40emx16hB2HXXGfdmZ3jmDgMMaTHEfw1d+xVk7TGug6Lg6kf9l1tULk3+AHFNjeviXPj5Xb+lfqDpAzgsDgA2HdvkWcsS1KwpwR06AKCcTuoUbsZiq4OyGP/EFubmsmXJgnNXKoQoV6SDL4S44lJnnD563wSrPZBqS8Z4yqIfehBlswHw+ebPPfOGOyZ0pFlsM/80sqQQFr/jjTuNgAA/7bkvKh+LBXr82RuvGgWn/DPHPTYolj/U/4MnPn09S8xp61xCZ35KSIQDa4B3FH/tzCmyZaYQFYDPOvhKqSSl1OdKqQNKqUKlVLpSaqRSKuoinw9RSv1RKfWNUmqbUipXKXVKKbVaKfW0UspxgWebKKXGK6UylVIFSqntSqlXlFJBvvr+hBDmOJl5iN1rVnpia0Br6iS6ULu3AGAJDyfijr4AHM497Nm/G/w8er/mC8jeZ1yHVIOrHvZfblE5NboZEloa1yUFfh3FH9BsAFZlLKpddWgV6zKNbTBDunTBUc/YqYrcU6SEHcYa0BSwA3Bs314yNm/wWzuFEJfHJx18pVQKsAYYAKwE3gV2AyOAZUqpi9kgugvwFXA9sAn4L/AtkAi8AyxQSgWeI3cHYBVwOzAXeA/IBl4E5iilAsr0zQkhTLVu9nS0e0TeYkvGYo0mYbP3YKuo/v2xhoYA8MWWLyh2FQPQqlor2lVv559GFufDkn97485PgiPEP7lF5aUU9PirN179OZzc75fUiaGJ3FT3Jk9cuq5FWSzEDBjoKY+ZPwqbI+iMLTMztmz0SxuFEJfPVyP4HwJxwHCt9e1a6xe01j0xOvoNgdcvoo5DwH1Agtb6TncdDwMNgFTgGuCM7SqUUlZgNBAM3Km1vldr/TzQAZgIdAKe9Ml3KITwueKCAjbOn+WJrQGtia9hw7Ha2EUHu52o++4D4ETBCSbsmOC5d0iLIZ5Ft6Zb/TnkuKdPhCVAu4EXvl+Ii1X/Okh0/6PqLIIl71z4fh8a1GwQCuNnaNG+RWw/bpztEH7LzVirGadFWw7uoU71AqwBrbE6mlO3/Qg63XWf39oohLg8Ze7gK6XqAtcB6cAHZ739EpAL3K+UuuBwl9Z6ndb6a6110Vnlp4DSobPuZz3WDWgMLNZaTz7tGRfwnDt8VPmtFyCEuBRbf15IYW4uAMoSgcVem1qZSz3vR9x8M/bqcQB8tfUr8kvyAWgY1ZAuiV3808iisxZAdnka7DL7T/iIUtDztFH81C/hRLpfUteNrMu1ydd64tJRfIvDQfR993vK41PHYbFGYw/pzYE0KyeP5PulfUKIy+eLEfye7q+zdenn7G7uzvlSjBH2q8uQo9j9teQ8uWeeVY7WejewA0gG6pYhtxDCBOfaGjMiykHIvK88ZdEDHgLgVNEpvt36rad8cIvB/hu9X/4R5B4xrsOToM0D/skrqo66PaBWR+PaVQwL37zw/T40uPlgz/Ws9Fn8evJXAKL634UKNvbLd2xZTo0E98+bho0L9vmtfUKIy+OLDn5D99cd53l/p/trgzLkKP08/OyOvD9yCyFM0uOhRwgIbQQ4sDqaUse5DeUeJwjp0oXABsaP7jdbv+FU8SkAksOT6V2rt38amHcclr7vjbs9BzZZ1iN8TCno+XdvvP5byNzql9RNYprQKbETABrtGcW3RkYS2bev576k9Dme6y2/HKAo/+zxNiFEeeKLDn6E++vJ87xfWn5Zp8EopYYBNwDrgM/Nyq2UWnOuF9DoctothLgwpRQuXQNlv5GAyCEEBAUTOcd7gFXMYGNkMbc4l7FbxnrKH27xMFaL1T+NXDoSCt2/RmLqQas/+ievqHpqd4J6pf+4apj/mt9SP9rCe57DtN3T2JttnEkR89CDYDV+1kKW/UhklHFdlJfDjA/H8MMbL8uWmUKUU/7YB7/0c/RL/i2glLoDGImxALev1rr4dx7xWW4hhPnWz8sAQKkAagcdwlpgjNIHtmhB8FXtAfh227dkF2UDkBSaxI11bvRP47IPGCeMlur5d7Da/JNbVE29XvReb5sKGav8krZVXCuuTjBm0Tq10zOKb09MJPwm4+dNAcnZa9DaSWH2GHatnMSva1eTsVl21BGiPPJFB790lDziPO+Hn3XfRVFK3Q58B2QC3d1z6k3LrbVue64XsO1S2i2EuDjH9uewb9sJwJihUG3JaM97MYMHoZQirziPsZvPHL23WfzUyV70prE3OUBCK2hym3/yiqoroQU0806LYd4r4KcR8kdbekfxp6RNYd8pY559zCDvHP3IhV8QGGTH6vDOek2dMRkhRPnjiw7+dvfX881zr+/+er558r+hlOoHfA8cBrpprbef51af5xZCmKuoIJ8N82aydk6apywpMpeAY8a0AEft2oT16gXA+O3jOVFo/BNQI6QGN6fc7J9GHt1l7GZS6tqXjP9ChDBbj79C6T+x6Usgbb5f0rat3pb28canZiW6hM82fQZAYMMGhHTrCoDVWUSy+vWMk23T1qwg67B/TuAVQlw8X3TwF7i/XqeUOqM+pVQYxl70+cDyi6lMKXUvxgFXBzA69zsvcHvpb74bzlFPXYyO/x6MQ7eEEOXAlkXzmfPJ/1g/8x+UFKwFIH7Nd573owcNRFmt5JfkM3qzd1R/cIvB2C12/zRywWugncZ1na7GLidC+ENMypk7Nc17BVyu89/vQ6fPxZ+0axIHcw4CEDvYO4pfbfHnWO0xWGy1jYKzdsMSQpQPZe7ga63TgNlAbc46iAp4BQgBxmqtc0sLlVKNlFK/WbyqlHoQ+BLYC3Q9z7Sc0y0CtgJdlVK3nlaPBSjdZ+xjLauAhCgXtMvl/UhfG9NfYsJLCN2bCoCtWjUibjOmwkzYMYHjBccBiA+J57YUP02RObAONv/ojXvJ6L3ws67Pgc191sLB9bBl0oXv95H28e1pE9cGgBKXdxQ/qF07glq2BCAg9yg1Q45jDWzjeW7TgtkU5uX5pY1CiIvjq0W2QzHmyr+vlJqklPqXUmo+ximyO4C/nnX/VvfLQynVA2OXHAvGpwIDlFIvn/V64vRntNZOYACQB0xQSn2jlHoDWAHcibEH/7sIIcqF9PWpnDi43x05sAY0JTFtpmc1fPSDD2BxOCgoKeDzTd5NswY1G4TD6vBPI+e96r1udDMktfNPXiFKhSdAh0e88fzXwHmpe0xcOqUUj7T05v1h5w8cyj2EUoqYId5R/PgVX2GxJaMs0QAU5eezedFc09snhLh4Pungu0fx2wFjgA7A00AK8D7QUWt97CKqST6tPQMxTsE9+/XE2Q9prVcA7YGfME7UfRJj0e2rQG+tdeHlfl9CCN9aM/0nz7U1oDmhIXait8wCwBIaSmT//gBM3DmRo/lHAYgLiuMP9f/gnwb+uhjS5hnXynLm3uRC+FPnJyDQvX/E8TRY97Vf0nZM6EiLai0AKHYVM3qTMU0utGdPHHWNMyNDM7cTF1aANbC157m1M6bgcjn90kYhxO/z2TaZWusMrfUArXWC1tqhtU7WWo/QWh8/x71Ka63OKhtTWn6BV+3z5N6ite6ntY7VWgdorRtorV/SWst52kKUE8f27WXPhrXuSGENaEXNo8uwuA+2irrnbqxhYRQ6C/l8o3f0fmDzgQRY/XC4lNYw9xVv3PIeiJNjMMQVEhQFnUZ444VvQLH5f9KUUmfMxZ+wYwJH8o6gLBZiBg30lCdu/gGrowko42cz6/BBdqeuNr19QoiL44998IUQ4ozt9Cz2FAICI4hbMxEAZbcTdf/9AEzaOYnM/EwAYgJj6Fu/728rM8O2qbDf3UGxOqD7C/7JK8T5dHgUQqsb16cOnnkug4k6J3amaUxTAIpcRZ7F7uG33IItLg6AqF+XERGisDpaeJ5bO+On31YmhLgipIMvhDBdfs4ptixe4IltAa2pWbgNm9NYaBtx++3Y4+IodhYzapP3NNsBzQYQaAs0v4HOYpjzkjduNwgia5mfV4gLcYRAt+e88ZL/QO7FzHgtG6XUGfvif7/9e47mH8XicBD94IPGPWiS9s7DFtgKUFisYdRq3hrtpx1/hBAXJh18IYTpNs6bRUmRsRxGWathsScRv+Ir402liB44APAu6gOIDoymX4N+/mng6tHGPGeAgAjo+qx/8grxe9o8CDH1jOvCk7D4Lb+k7ZbUjUbRxhS1Aqd30Xtk/7uwhIUBUG3LDAIDQ3GE9cceNpDoxK4oi3QrhCgP5CdRCGEqZ0kJa2dN9cS2gDYkWQ8Q6D7AKqx3bwLq1KHQWcgnGz/x3Deg6QCC7cHmN7DgJCz8lzfu+jSExJifV4iLYbVD79N2dlo1Co6lnf9+H1FK8aeWf/LE47ePJzMvE2toKFH33GM0zVVMzROrsNhqoJSVdXP3IrtSC1E+SAdfCGGq4/szKMpzLw5UwVgcDYlf+ZXn/ZiHHwaMxXyZed659/0b9fdPA39+F/LdewFE1IKrHrnw/UL4W8MbIbmTce0qgbkv+yVtj5o9aBLTBIBCZyGjNhrT56IffAAVaEydi183kdJB+8w9pzi4K8svbRNCXJh08IUQpqqWXIeWN/wdW3AvbEHXUM1+ivBTewEI6dKFoGZNyS/J59MNn3qeGdx8MEGlB/2YKSsDln3ojXu9CHY/zPkX4lIoBdf9wxtvnQx7L+pw+DKmVTzWynt+5YQdEziYcxBbTAyR/Yzpc47iHBILtnvuWTsngyN703GWmL9vvxDi/KSDL4QwVVF+CduXH8MW0BJbQAtqrP/e817so8Zo+bht4zhWYCwejAuOo19DP829n/8PcLqPyqjRGpr5acceIS5VYltodqc3nvVXY2tXk3VJ7HLGvvil0+hiBg4Aux2AGuvGAeAs3sOOpR8x9tlhbF/2s+ltE0Kcn3TwhRCm2rL0AEUFxgE4obY8Yo5sACCoXVuC27YlrzjvjFNrH27+sH/2vT+wFjaM88bXvQayQFCUZ71eNLZwBWNL180/mp5SKcWwVsM88aSdk9h3ah/2hAQibrsVgJC8w1R37UeXHMJVkgHAmqmTZD6+EFeQ/DUTQphCa43T6WL9vAxPWdL2qSiMP/qxjxjb8H2z7RtOuBfcJoQkcEf9O/zROJh92im1DW+C2p3NzytEWUQlG3vjl5r7MpSYf1j71QlX07Z6WwBKdAn/t8HYjz92yBDPP8U1NnyPNaAFYAMgMz2NfVs2mt42IcS5SQdfCGGKxV+P5ruXXib7yK8ABFiLqb7/FwACmzYlpHMnThWdYvSm0Z5nHmnxCHar3fzG7ZgJ6UuMa2WF3q9c+H4hyosuTxun3AJk7YGVn174fh84ey7+lLQp7MnegyM5mfA+fQCIzNpJpKXAON3WbfVU8z9hEEKcm3TwhRA+V5iXy4a5Mzi0M5WiU9/hKt5Hjb0LsLqMhXcxjz6CUoqvtnxFdlE2AEmhSdxa71bzG+csPnP0vt1AiK1vfl4hfCEoErqddsry4rcg77jpadvHt6dDQgcAnNrJR+s/AiDmEWMXLAUkbpmENbCt55ndqas4tj/jN3UJIcwnHXwhhM9tmDeLonxja0xlicZmTyAxfS4AAfXrEdarFycLTzJ2y1jPM39q9SfsFj+M3q8ZA8d2GteOMOj+wgVvF6LcaTcQousa1wUnYfHbfkl7+lz86bunsztrN4ENGhDaqxcAcUdSCbEFYrGneO5Lnf6TX9omhDiTdPCFED7lLClh7Ywpntga2JbEIytxFOcCxr73ymLhi81fkFOcA0Dt8NrcVOcm8xuXdxwWvO6NuzwJIbHm5xXCl2wOuPa0aWUrP4Ej289/v4+0imtF50RjrYpG8+F6Y4vZWPcovkW7SNo5FVtAG88zmxfNJy/7pOltE0KcSTr4Qgif2rFiKaeOHTECFYTN0YiktOkA2GvWJLxPH04UnODrrV97nhnaaihWi9X8xi34J+QbC3qJrAVXDzU/pxBmaHwLJLsXhrtKYOYLftk28/RR/Fnps9h+fDtBLVoQck1HAGoc+IUAe3WUtToAzuIi1s+ebnq7hBBnkg6+EMJntNasOW1hnS2gFfEntxJUYMwRjhk8GGWzMWrjKPJK8gCoF1mP62tfb37jDm+G1Z954+v/CXY/HKYlhBmUgj5vgHL/GU+bD9tnmJ62aWxTutfs7on/t/Z/AMS4d8WyuopI3DsfW6B3FH/d7GmUFBWZ3jYhhJd08IUQPrNv6yYO797ljqxYA1pSc9c0AGzVqxPxh9s5mHOQb7d963lmWKthWJTJv4q0hhnPg3YZcZ1u0Ohmc3MKYbb45tB2gDee9WcoLjA97bBWw1AoABbuW0jq4VSCr2pPUOvWACRlzMfuSAEVCkDeySz2bFxreruEEF7SwRdC+MyaaZM811ZHE2LzDhCWsw8wTr60OBx8uP5Dit276bSIbUHPWj3Nb9jWyWdui9nnTWMEVIiKruffIDDSuD6RDss/MD1lw+iG3FTXu2ZmZOpIwHsytaM4lxoHV2ALbIfF0Zik5n8ipW0H09slhPCSDr4QwieOH9hP2pqVntga2JZau6Ya17GxRN51F2lZaUxOm+y554m2T6DM7mgX58Osv3njq4ZAXGNzcwrhL8HRRie/1OJ/Q/YB09MObTUUm8U41Gpt5lqW7F9CSNeuBDZrBkDNPbOxB7bGEdKHo/uCyNyTbXqbhBBe0sEXQvhE6vRJnkV+FnsdIosKiMwytqOMGTQIS1AQ76e+j8s9TaZTjU60j29vfsOWvg8n9xrXQdGyLaaofNoOgLimxnVxLsx5yfSUNcNq0q9BP088MnUkLu0i9jFj4XpQwXHijqR63k+dtdf0NgkhvKSDL4TwiZR2nbEFGvtfWwPaUmv3dBRgjYkh6u7+rD+ynvkZ8z33j2gzwvxGZWXAz+96414vek8BFaKysNqMBbelNo6HvStMT/twi4cJshkL1Xee2Mn0X6cT2r07gU2NfzZqpc/y3Lt7bSZZmXmmt0kIYZAOvhDCJ7KORGELug1H+EBCXSFUO7IOMEbvVWAgI9eM9Nzbp3YfGsf4YZrMnBehxDhwi/gW0OYB83MKcSXU6QqNTzsJesZz4HKamjI2KJYHmnh/pj5Y9wElrhJiH3sMgLDc/cRkbQXA5Spk5kdjWfzNGFPbJIQwSAdfCFFmzhIX6+cZR9JbrJHUSp+NQntG75ceWMrqw6sBsCkbw1oPu1B1vpG+FDb/4I37vAX+2GtfiCvlutfAFmhcH1wHa78yPeVDTR8iMsBY5Ls/Zz/jd4wntEd3Aps0AYxRfO06RWHWp+zfMpU1U38k++gR09slRFUnHXwhRJntWHmY3KxCABwlOcQfXg5AzMCBEBTIe6nvee69o/4d1AqvZW6DnMUw/Rlv3OxOSO5obk4hrrSoZOh02tS3ea8YpzebKNQRypDmQzzxJxs+Ia8kj9hhxih+ZNZOIvJOoGxxALicTmO9jhDCVNLBF0JcNpfLycYFc1kzI81TlrR3HlZXCdboaKLuuZtZ6bPYdnwbAIHWQB5p+Yj5DVv+IWRuMa7tIdD7VfNzClEedHoCImoa13nHYK75C277N+pPfEg8AMcLjvPlli8J7dGDgCaNURij+LbAdp77N8ydRUFOjuntEqIqkw6+EOKy7VyxjNkfj+TwzvcpKViLzVlA4gFjv/mYQQNxBtj579r/eu6/r8l9xAXHmduorL2w8LQFhz3+DBGJ5uYUorxwBBvT0UqljoW9y01NGWANYGjLoZ54zOYxnCg8QTX3XPxqR9cTWhyCssQAUFxYwLrZ00xtkxBVnXTwhRCXRWvNqskT3EEeWueRuG8h9pJ8rFFRRN1zDxN2TiDjlDE3P9wRzoBmAy5Qo4/MeB6K3bt1VG8GHR41P6cQ5UmjG888qXnqk8a0NRPdmnIrKRHGLlq5xbl8uuFTQnv2JKBxYxSa2ntmYQv0boubOmMyxUWFprZJiKpMOvhCiMuSsXkDh3fvckdWAuxNqblvAWCM3ufanHy07iPP/YOaDyLcEW5uo7ZNg+3TvfHN74LVbm5OIcqjG94wpqeBMV1t+YemprNarDze5nFP/N2279h7ai/V3PviV89cRbArDlQYAPnZJ9myaJ6pbRKiKpMOvhDisqz8aYLn2hrQjMSDqTiKczyj96M2juJE4QkAEkIS+GPjP5rboMIcmP6cN277ENS8ytycQpRXkTWN6WmlFr5hTF8zUc+aPWkT1waAEl3CyDUjCe3Vi4DGjbFoF8kZc7EFtvXcv2ryD7hM3spTiKpKOvhCiEuWmb6bPRvWuiOFzd6SWhlzAYgeOICDOouvtni36BvRZgQB1gBzG7XoDcjeZ1wHx0Iv8xcXClGudXjUmKYGxrS1Gc+bmk4pxbPtn/XEc/fOJTUzldihfwIg4dAyglQtUMbvgpOZh9i5YpmpbRKiqpIOvhDikq2aPNFzbbHXJ/HINgKKTmKNjib63nt5P/V9ilxFADSLaUafOn3MbdChTbDstCkI178OwdHm5hSivLPajWlqpbZPN6axmahZbDNurHOjJ35n1TuE9DR21LG6SkjOWIw1oJXn/ZU/TUBrbWqbhKiKpIMvhLgkJzMPsX3ZEk9sD2hD8t7ZAMQ+8jCb83Yz/VfvPPhn2j+DRZn4q8blMhYRavdH/bW7QIv+5uUToiKpeZUxXa3U9OeM6WwmGtFmBA6LA4BNxzYxa89s4kYY+/PXOPgzAZaGgBVUCNGJLdEul6ntEaIqkg6+EOKSrJ46yfMH2WKrRfyxfQQVHMMWH09E//68s/odz729avWibfW256vKN9aOhX0rjWuLHW76Dyhlbk4hKpJeLxnT1sCYxrbwX6amqxFag/ua3OeJ30t9D1unDgS1bo3NWUjygWU4wu4kIGIQJ481Rpk5ACBEFSU/VUKIi5aXfZKN82d7Ymtge2rvnQVA7J/+xILDP5OamQqATdl4su2T5jYo+yDMftEbd34CqjUwN6cQFU1wtDFtrdTyj2B/qqkpBzcfTFRAFAAHcg/w9davqfbEEwAk7V+EnRiUsnHiUB671x0xtS1CVEXSwRdCXLSje9PR2vi1oaxxVM86RkjeIey1ahFy2828u8Y73/fuRneTHJ5sXmO0NqbmFJ404qg60OVp8/IJUZG16A91uhrX2gk/DYOSItPShTnCGNrKe/jVqI2jKGxZj5BrOmIvySdp/yLPe6tnpMs8fCF8TDr4QoiLFl6tPvawwdiCumELvIbae4zR/GrDHmP87h/Ye8rYhi/MEcYjLR4xtzGbJsKOGd74tv+BPcjcnEJUVErBLe+BPdiIMzfDz/8xNWXfBn2pHV4bgJziHD5a9xHV3HPxa+6bj8Vp/INxNCOH9XPXkn0009T2CFGVSAdfCHHR1sxMR+HAFtiWuFP5hOdk4KiXgr62Mx9v+Nhz3yMtHiEyMNK8huQcgene7fhoNwhqdzYvnxCVQXRd6Pl3b7z4bWMHKpPYLXaebuf9VO37Hd9zsHYYoT164CjOocbBpbhKjlB06gfmjYnb/74AACAASURBVHqRZRO/M60tQlQ1PuvgK6WSlFKfK6UOKKUKlVLpSqmRSqmoS6ijt1Lq30qpeUqp40oprZT6+Xee0Rd4LS/7dyaEADh5JI/tKw574uQ9MwGoNnw4n2wexUn3VJmk0CTuaXSPuY2Z8SzkHzeuI2pC71fMzSdEZdHhEUhyHwDnKoGfHgNniWnpuiV146p4I59TO/n36n9TbcRwAOPsDFcurpJ0ALYsnEf2UZmPL4Qv+KSDr5RKAdYAA4CVwLvAbmAEsEwpFXORVT0GPAVcA+y/hCbsAV45x2vUJdQhhDiP4oICVs/Yg3YZ82SjTmwjMns3gU2bktm+Lt9u/dZz7xNtn8BhdZjXmC2TYfOP3viWkRAQZl4+ISoTixVu+wBKD547uA6W/de0dEopnmn3DApjZ6vF+xazMjST8Bv7EFiYRdKRvShrDQBcLierp/xgWluEqEp8NYL/IRAHDNda3661fkFr3ROjo98QeP2CT3u9CTQDQoFbLiF/utb65XO8pIMvRBk5S0oY/dRQNs75FFeJMUe2Trqxz33siOG8uepNSrQxAti2eluuS77OvMbkHYdppy2kbXUf1LvWvHxCVEbVGkD3F7zxgn/B0Z2mpWsc05g76t/hid9a9RaRQx8Fi4Xae2djD2jneW/D3FnkncwyrS1CVBVl7uArpeoC1wHpwAdnvf0SkAvcr5QK+b26tNbLtNabtS49sUYIcaVtXbKAU8cycRbtoCjnByJPbCHyZBpBbduyMrmI5QeNmXAWZeHPV/0ZZeYe9LP+CrnuhXih8XD9a+blEqIyu2Y4JLhPlHUWGlN1XOb96X289eOE2Y1P2vZk72F8wVIibr+dwMITJB09gLLGGU0pKWL1tEmmtUOIqsIXI/g93V9na63POI5Oa30KWAoEA1f7INf5RCqlBiql/qKUekwpZWYuIaoMl8vJsonjPbEtsA1104259xGP/4m3TzvUql+DfjSMbmheY3bOgfXfeOOb34Wgi17iI4Q4ndVmTNWx2Iw4YwWs/NS0dDFBMWdsm/nx+o+xDLwb7Hb3KL73QLy1M6ZSkGPuabtCVHa+6OCX/kXfcZ73Sz/3M/P0mZbAZxhTgf6HMe9/nVKq+cVWoJRac64X0MikNgtR7u1YvpTsIweNQAUQkx9E5Mk0Qrp1ZVzQRvbnGEtlIgIieLz14+Y1JP8ETBnhjZv1hUY3mpdPiKogvtmZZ0fMewWOpZmWrn+j/qREpACQV5LH+we/Jeqeu92j+EdQlmgASooKWDtzimntEKIq8EUHP8L99eR53i8tN2vPvP8AnYBqQBjQHpiA0emfr5RKNCmvEJWa1ppl34/zxNaAVqSkzwGlsPzpAT7b+JnnveGthxMREHGuanxj2jOQ7V53HxwDfd4yL5cQVUmXZyCuiXFdnAc/PGzarjp2i50XOnjn/k/ZPYVDd3bGEhpK7b2zsJ02ir966iSKCvJNaYcQVYE/9sEvnZBryjF1Wuuntda/aK2Paq1ztNartdb9gIlALPDMRdbT9lwvYJsZ7RaivNudupLjB/a4Izux+aFEnkwj4vbbGXnyRwqcBQA0jGpI3/p9zWvIxgmwaYI3vuU9CIk1L58QVYnNAX/4GCx2I96/Gpa8c+FnyuDqhKvpndzbE/9rxwdEDRpIYGEWNY8dR1mMgYKi/FzWz5lxvmqEEL/DFx380hH68w3fhZ91n7+UnrrT1c95hajwtNYsHefd+tIa0IKUPfNQAQEcuKcrs9Jned77c4c/Y7VYzWnIyX0w9Slv3Oo+aHwpG2wJIX5XQkvo8RdvvOgt2LfatHRPt3uaAPc2nVuObeHnzpHY4uKovXc2Nkcbz317Nmw3rQ1CVHa+6OCX/gSeb459fffX883RN0vpaRm/u3uPEOJMezeu58ieXe7ISkxBOJEn04i8/4/8M/0Tz3196vShbfW2566krFwu+PFRcB+gRWQy9HnDnFxCVHWdRkCta4xr7TSm6hTlmpIqMTSRgc0GeuKRmz8idOgQYxT/+EmsjqY4wu5F2XujtSkf/gtR6fmig7/A/fU6pdQZ9SmlwjDmx+cD/j5VtnQnnd1+zitEhbd0/Omj982olz4fa0QEi7rHsPOEsW4+yBbE022fPl8VZbf8Q0hfYlwrC9zxiRxoJYRZLFZjqo7D/TN2PM3YltYkA5oNICEkAYAThScYm7wXR70Uau+dgyOoJxZbPId2Z5Ox9bhpbRCiMitzB19rnQbMBmpjnER7ulcwRtDHaq09QwFKqUZKqTLvTqOUanOu/fWVUi3wHq71VVnzCFGVHP41jYM7N7sjRXRBpHFq7aD7eG+H9+y4h1s8TPWQ6iY1YrOxo0epzk9CLdn9VghTRSVDnze98ZrRsGPW+e8vgyBbEM+08y6R+2bnOIoe7k9gYRY1Dv7iKV855VcZxRfiMvhqke1QIBN4Xyk1SSn1L6XUfOBJjKk5Zw8DbHW/zqCU6qyUGqOUGgOUrvKpX1rmLj/dcOCgO+d/lVLvKKWmAqlADPAp8C1CiItmD4zHEXYXFltNrI6m1E9fiL1GDT5M+ZVTxacASA5P5v4m95vTgJJCmDgEnEVGnNASur1w4WeEEL7R6t4z17n8NAxyj5qSqndybzokdADApV28qqYR1K4dyXtno1zFABz+NZvdaw/iLDFnZx8hKiufdPDdo/jtgDFAB+BpIAV4H+iotT52kVXVAx50v0q35Yg7rezBs+6fBMwFmrnfGw60BWYAt2mtH9byr78Ql2TllN1YbEk4wvoRV1iDyOzdZD1wI9P2zfbc89cOf/UskvO5+f+ATPcnCLZAuONTY6cPIYT5lIKb34NQ96dzuZkweTiY8KdUKcXfOvwNu3sHn03HN7PhrpYEFmaReGApWhdTUpDK5H8/xaYFc3yeX4jKzGfbZGqtM7TWA7TWCVprh9Y6WWs9Qmv9mwl0Wmultf7NefZa6zGl753vddb9k7TWd2it62mtw915E7TWt2itJ/vqexOiqsjck01a6hFPnLJ7Ko5GDXkpdK6n7Ka6N9GxRkdzGrBrHvzyP2/c+x9QzcTTcYUQvxUSA7d96I23T4PVn53//jKoHVGbIc2HeOJ/5UzEcW13kvfOwpW/lpL8hbhKclg6/lucJcWmtEGIysgf++ALISqIFT9516RXy0wlPCeDFX9oyN7cfQCEOcLOmDfrU9kHjZ07So/MSOkFVw254CNCCJPUvxban/bzN/MvcHCDKakGNh9IcngyADnFOXzbVRHgyqP2kWOgggDIzz7Ohvkyii/ExZIOvhACrTUTXv8nu9cuRGsnaBd106eirm7D2xbv1Jwn2jxBbJAJh0y5nPDDEMhzz/UNrW7s6KF+80GfEMJfrvsHVG9uXDsL4fuHoCDb52kCrAH87eq/eeJx+UsouKUbtTPm4bC39JT/Mu5bSoplFF+IiyEdfCEEezetZ8+GXyjJm0tR9hfEH1pGSOFRPuvhpMRlLG5rUa0Fdza405wGLHrzzC0x+46C0DhzcgkhLo49CPqNAUeoER9Pg6lPmDIf/+qEq7mp7k2e+LWmOwkItlP38GFQwQAU5JxgwzxzdvURorKRDr4QVZzWmgVfjPXEFlsSddJnknXj1czEWOxqVVZevPpFLMqEXxm7FxonZ5bq9jzUkQOohSgXYuvBzSO98aaJsGaMKameafcMYe59+Hc4D7D1Dy1J3reYAHszzz2/jP9ORvGFuAjSwReiituzYR3HMkoPmraQlKUJDijhH028x8Tf1/g+GkabsNj11GFjS8zSefd1ukLXZ32fRwhx+Vr0gzYPeOOZL8ChTT5PExsUyxNtnvDEryWsxFarOvUO7POM4hfmZrF+9kyf5xaispEOvhBVmDF6/4UnttkbUz99AWtuTiHDkgVAfEg8Q1sN9X1ylxN+GGxswwcQUg3uGGWcqCmEKF9ueBPimhjXJQXGfPzCHJ+nubPBnbSo1gKAQuVk3PUh1DywjEBrE889v0wYJ6P4QvwO6eALUYX9uj6V4/t3uSMLtY4XYa0RxttJ3t0y/nzVnwm2B/s++eJ34NfF7kAZ+92HmXQyrhCibBzB0O8LsLsPjz+2E6Y95fP5+BZl4cWrX8SqjH/0J0TvIrdtHRruT/eM4hflZbF2xgyf5hWispEOvhBVlNaaBaNPG723NSJl7yJGdS/BaTV2r+lZsyc9a/X0ffK0BbDoDW/c9VlI6eH7PEII36nWAG7+jzfeMA7WjPZ5mobRDXmgqXdK0D+vOkjCkVSCLY08ZaunTkXOsRTi/KSDL0QVtWvVSrIOle57b6HO0RyONY1mXg3jbLpwR/gZW9f5zIl0mDAAtMuIkztD9xd8n0cI4Xst74ZW93nj6c/B3hU+TzO05VBqh9cGIC2igPVd4mi0dwfKEoMtsBPY+5KbVeTzvEJUFtLBF6IK0i4X80Z/7onttkbUObCcNzsc9pQ9f9XzVAuu5tvERXnw3X2Qf8KIwxLgzs9k3r0QFcmNb0O8e398VzGMv984qM6HAm2BvNrpVRTGp4nvtzpEbOFOYlQ3bEEdcDntrJiy+3dqEaLqkg6+EFXQxgULyT2+3x3ZqH/wKMvaO9gfY5R0TuzMLXVv8W1SrWHyMDi80YitDrjrSwiL920eIYS5HMHQ/2sIijbinMNGJ7+k0KdpWse15t7G9wKQG6QY1xnq7f7J8/62ZQc5us/3C32FqAykgy9EFXR0fzTWwA6AnUBLQxKy1/H5VcYfyhB7CC91fAnl61Nkl/3P2EO71I3vQM32vs0hhPCPqGToN9o4mA5g3yqY8ZzP0wxvPZzE0EQAprQohKADxBxzb9Gp4ZcfdqFdLp/nFaKikw6+EFXMiUO5bFt+HHtQJwIiBtI0I42xXYrIDTI69E+3e5r4EB+PqqctgDkveuO2A6Dtg77NIYTwr7rdofer3njNGFjt20W3wfZgXr7mZQBcFsV/e+SRkjYJtAuX8zhpK79g6nsf+jSnEJWBdPCFqGKW/ZjmWd8adXI/hUFpzG1pxB3iO3Bn/Tt9m/DsRbU1O0Cfty74iBCigug4DJr388bTn4WMlT5NcXXC1dzZwPi9tDnZwpaU48QcmkNR9he4ineyY8UcTh7J9GlOISo66eALUYUc2JnFr+uPeuJ6u3/gg17FaKUIsgXx0jU+nppTlAfjTltUGxoPd40Fm8N3OYQQV45ScMv7UP20RbfjfL/o9qm2T1E92DgnY1T3Euoe+BmLxb0JgHYy66PPL/C0EFWPdPCFqCIKcnOY/J93cDmNznb1w6tYXv8AvyYYHfoRbUZQM6ym7xK6XPDDEDjkXlRrsUN/WVQrRKXjCIa7v4KgKCPOOQTf3QNFuT5LEeYI48WOxjS/rFDFxKuySMz2DhRkbF5K5p69PssnREUnHXwhqog5n35F7vF1FGV/gTNvKfGHpvFtV+O91nGtuafRPb5NOPdF2DbVG9/0DtS8yrc5hBDlQ1RtuHM0uE+g5cBa+OFhcDl9lqJrUlduTbkVgJntFOG5K7Faarjf1cz88FOf5RKiopMOvhBVQPbRY+xYPssduYjJ2s931xwjN8iYmvN6p9exKB/+Olg9Gn75rze++jFo+5Dv6hdClD8pPeDG09bXbJt65uJ6H3j+queJD4nHZVGM6l1E3aMFnveOpK9lz8atPs0nREUlHXwhqoAZH44GXQyAxRKNo2Ali5obU3Oeb/88NcN9ODVn1zyY9rQ3bngTXPcP39UvhCi/2g82Ft6WWvY/WO27+fHhjnD+2fmfKBTbkxQZkak4VJLn/dn/N8pnuYSoyKSDL0Qll5m+j32bl3jipCwLo3sXgVJ0r9mdO+rf4btkh7fA+AdBuz+WT2gFfT+Vk2qFqEp6v2r8Y19q2jOwa67Pqm8f354HmjwAwDc9oM6RTHCfeJt9ZDubF/t2Fx8hKiLp4AtRyU0d+SFgdLitqhrpMWvIiFNEB0bzcseXfbdrzqnD8M1dUHTKiMMT4Z7vwBHim/qFEBWDxWr8Y5/Qyoi1E8Y/BIc3+yzF8DbDqR9Vn+wQxfym2wki0fPegtGf4HL6bu6/EBWRdPCFqMS2Ll3LiYMbPHFiVg7fd9UAvHLNK8QExfgmUVEefHs3nMwwYkco3DsewhN8U78QomJxhMC94yDcPX2m6BR80x9OHfJN9VYH/+r8L+wWO3NbK2JO7gKMTwoL8w6xaurPPskjREUlHXwhKimXy8W8Tz/yxIE6ntktt5AfoOhbvy/da3b3TSJnsXGQ1YFUI1YW6DcG4pv5pn4hRMUUFm908h1hRnwyA77uBwUnfVJ9w+iGPN76cbRF8XX3Q0QWV0NZq+MIvYttC4soKZZRfFF1SQdfiEpqyVdTKMw/4I4sBBT/yvLGipphNXmu/XO+SeJywU/DYMdMb1mft6B+b9/UL4So2OKbGf/wl26feWgDfHsvFBdc8LGL9UCTB2hXvR2/JiiOhq4nOPA2LPYkcvKtpE6SHXVE1SUdfCEqocL8IlJnjPPE4SUxjO11GIvFyj87/5Nge3DZk2gNs/8KG77zlnV+Cq4aUva6hRCVR/1r4db3vfGen2HCQHCWlLlqq8XK651fJ9Qeyviu+VTLnOZ5L3XeAXJO+OYfCSEqGungC1EJrfluHdbg61HW6kAA22ts4kSYYkjzIbSKa+WbJEv+Dcs/9MZtHoRevt3zWghRSbS+z9hdp9T2aTBlhDFQUEY1Qmvwlw5/ociumNDuF0Jy9gPgxMaiD5b8ztNCVE7SwReiksnOzGH98iys9po4wu4lujiU2W3zaRPXhkdbPuqbJKtHw/zT9rZvfAvc/C74akceIUTl02mE8Sq17iufHYR1S8ot3JZyG5vqQK5rAlq7KCncyLZNn7F53iqf5BCiIpEOvhCVzMJ3F+BSNgBCczL4tlMqEYFRvNn1TWwWW9kTbJ4EU5/0xnW6Qd/PZK97IcTvu/YVYzS/1C/vw88jfVL1Xzr8hToRdfiyaxqWE+MoyZsDOof5Yz7H5Sr7JwVCVCTSwReiEklfvI2ME9595zNCJ3AwFl7v/DrxIfFlT5A2HyYOBtx/LGu0hru/BltA2esWQlR+SsHN70Gjm71lc1+CNV+UuepgezDvdHuHktBAdtTY4SkvKspgwXvflLl+ISoS6eALUUk4S5xM+3QUJYWb0NpFaNZKJnZI56GmD9E1qWvZE+xeZOx+4So24pj68McJEBBW9rqFEFWH1WZ86le7i7dsyghYV/ZOeIOoBrxw1QvMa3UMuwr3lG9YOZvcY6fKXL8QFYV08IWoJOa+NoqCom2U5M2mKPsrZjSZQtPqLRneenjZK0//2TikpiTfiMOT4P4fISS27HULIaoeeyDc/Q0ktHQXaJg0FNaPu+BjF6Nv/b70qXMjM9pup/TwK5frGJP//l6Z6xaiopAOvhCVwNGNu9iy/RdPrFUBe+tp3ur2FnarvWyV7/nFOJymtHMfVgMenAyRNctWrxCiagsMh/snQfXm7gINkx6FDd+XqVqlFC92fBGVUp38YO/aoAPHN7Br0qIy1S1ERSEdfCEqOO10MuXt0bhcx9wlVn66egevdnqVxNDEslW+dzl8dScU5xlxaDw8NBViUspWrxBCAARHwwM/QVxTI9Yu+PFh2DSxTNWGOkJ5p9s7/NQ5HUWgu+48Zn8/hZLsnDI2WojyTzr4QlRwa97+kuNF2zzxoVgX11/Vl2uTry1bxRmr3J37XCMOiZPOvRDC90JijE8FqzU2Yu2CiUNg849lqrZJTBOeuOZpNqQc95Tll2xn3t//r0z1ClERSAdfiAosZ8t2lm3YALrQKLAEcPCGMJ5t/2zZKt63Br66A4rci9JCqhmd+9j6ZatXCCHOJSTW6OTHNjRi7YQJg2DLT2Wq9t5G9xJ3XVtK7EHuEs2WIzs4OH1hmeoVorzzWQdfKZWklPpcKXVAKVWolEpXSo1USkVdQh29lVL/VkrNU0odV0pppdTPF/FcE6XUeKVUplKqQCm1XSn1ilIq6PeeFaKi0sXFzHz9a4qc3u3g1rbO4z+9RuKwOi6/4vSfYextUJhtxMGx8OAUqNawjC0WQogLCI0zftfENjBi7YTvB8CG8ZddpVKKlzu9wqZeTsA4iM/lOsGCL1fjzMryQaOFKJ980sFXSqUAa4ABwErgXWA3MAJYppSKuciqHgOeAq4B9l9k7g7AKuB2YC7wHpANvAjMUUrJBt2iUtrxn8/Zqw944pyQAJ568HXiguPKUOls+Kqvd+Q+KNoYVYtrXMbWCiHERQirbnTyY+oZsXbCDw/Dqs8uu8pgezD/7PseBxOsWAPaEhAxgBMRbVjzkkzVEZWXr0bwPwTigOFa69u11i9orXtidPQbAq9fZD1vAs2AUOCW37tZKWUFRgPBwJ1a63u11s8DHYCJQCfgyQtUIUSFlLdhA4vW7kc7D7lLLNQe0Js21dtcfqWbfoDv7oGSAiMOjYeHpkH1pmVurxBCXLQw9++euCbuAg3TnoKf373sKmuG1+S2Z54mK8pO6bjfhpP1ODZ5hg8aLET5U+YOvlKqLnAdkA58cNbbLwG5wP1KqRB+h9Z6mdZ6s9baeZHpuwGNgcVa68mn1eMCnnOHjyql1EXWJ0S55yooYMkrY8mxZHjKCpvG80DnRy6/0tQvYeIgcJUYcWQtGDgDqje58HNCCGGG0k5+jdMGLea+DPNeBa0vq8ouSV1I+GM8uIxPKAsDo1gyegXFmZk+aLAQ5YsvRvB7ur/OdnesPbTWp4ClGCPsV/sg1/lyzzz7Da31bmAHkAzUNSG3EFfE9n+8QXpUdxxhd2ENaIvLHsDjT73FZf8fu+xDmDzM2LkCjPmvA2ZCtPzYCCGuoGD3FMHkzt6yJf+GGc+By3X+5y5gSPuBHGmz1RNnxDRk7bOvoi+zPiHKK1908EtX3u04z/s73V8b+CCXabmVUmvO9QIa+aKhQvjC0ZlT2bgtjBJbMEoFoEKa0u8/7xAWGnnplWkNC9+AWX/2lsW3gAEzIKKM++cLIYQvBITBfROg/vXespWfwE9DwVl8ydVZlIWnBzxGnmMrRTnTKDr1NeuLEkn/+H8+bLQQV54vOvgR7q8nz/N+afll9EDKdW4h/Kpw/z7Wvj2OI9Vae8oa3ZtA7bg6l16ZsximDIeF//KW1bzaWNwWEuuD1gohhI/Yg6D/V9D0Dm/Z+m/hm7ugIPuSqwsLCCO59klcxdsBOMVGNv20i6y1q3zVYiGuOH/sg186b+DyJs35KbfWuu25XsC233tWCLPpkhKWD3uEtJp9PGVBDXO4vkuXS6+s8BR8ezekjvWWpfSE+3+AIPlfWAhRDtkc0HcUtHnQW5Y2H0bfCNkHL7m6mwc/hsVhnHCrXdnsjotk3TMvUZx9vvFCISoWX3TwS38aIs7zfvhZ9/nSlcwthN8seW04B1VHcgsmUpQzFW07xn2P3njpFZ06ZPxB3DXXW9byHrhnHDh+dx28EEJcORYr3PIedHvBW3Z4I4y6FjK3nv+5cwgOj+Dagd6NCUqK1rK7em8Wj7gPfZmLeIUoT3zRwd/u/nq+ee6lR1+eb558Rc0thF+smTEW17wTHAw+DroQV/EOgm2LsAdaL62izG3GH8JDG7xl3Z6H2z8yRseEEKK8Uwp6/Blu/R8o9+/A7H3w2fXw6+JLqqpZ92uJr1e6DbAmi00U7q/Ngo/+5ts2C3EF+KKDv8D99Tql1Bn1KaXCMPaizweW+yDX2ea7v95w9hvu7TsbAHswDt0SosLZvWcdOa/8ly11OuIq9v6f2mvQ4EvbNSf9Z/j8Ojjp3lpTWeHW/0KPvxh/MIUQoiJpcz/8cTw4Qo248CR8ecclnXqrlOLGYcNRFhsA2nmYXQlJBIz5hdUrJpnRaiH8pswdfK11GjAbqI1xEu3pXgFCgLFa69zSQqVUI6WUL3anWQRsBboqpW49rX4LxqFZAB9r+bxNVEAn8k+QOmIQhxP+QH7xMk95w2u6k9y81cVXtOYLGHs7FLhnqjlC4d7x0OYBH7dYCCH8qN61xq5fofFG7CqGH4bA/NcuehvNqIREOt55tycuLljOzpS+HHvuRX7NlA//RcXlq0W2Q4FM4H2l1CSl1L+UUvMxTpHdAfz1rPu3ul9nUEp1VkqNUUqNAd5xF9cvLXOXe7gPxBoA5AETlFLfKKXeAFYAd2LswX/5R98JcYXkl+Qz9uW7iDtanwNhhZ6DWRxBofQcMOTiKnEWw/Rnjd1yXO7t5EKrw4DpUP9ak1ouhBB+lNACBs+Fao29ZYvfhnH3GRsKXISrbutLZHySOyrmhHUHLkdX5j1zH0fzj/q+zUL4gU86+O5R/HbAGKAD8DSQArwPdNRaH7vIquoBD7pffd1lcaeVPXj2A1rrFUB74CeME3WfxFh0+yrQW2tdeFnflBBXSLGrmH+PGkSXGSfYknItzsJUz3s9BwwhOPx8a8pPk3ccvvyDsV90qerNYfA8SGhpQquFEOIKiawJA2dCSi9v2fZpMKo3HP/9GbpWm50bho7wxK7i3exKakyrTcF8/MbdnCq6uH8UhChPfLZNptY6Q2s9QGudoLV2aK2TtdYjtNbHz3Gv0lr/ZuKv1npM6Xvne50n9xatdT+tdazWOkBr3UBr/ZLWOt9X358Q/uDSLt6c/jw9Pl3Lrnr9yCv+hdJdXpMat6BJ154XrgDg8Gb4pDukL/GWNbkdBs0y/hAKIURlExRpTD3sOMxbdmQrfNoTdi/83ccTGzameS9jOZ/FnoKyJ7G10QPc9MNBXhs7iEKnjBWKisUf++ALIS7SyBXv0HTkDApDr+JguEI7MwGw2Oxc9+iw319Yu3WqMWqVtcdb1uNv0G+MbIMphKjcrDa4/nW4/WOwBhhl+SeMxbcr/s84vfsCuv7xIXo89DQB4behLGFkh9fmQOKN9Bm1kZdmPIXT5fTDNyGEb0gHX4hyYsymMfDfMSQfbLW4/QAAIABJREFUjWFb3d6U5C/1vHfNnfcQFV/j/A87S2DuyzDuj1DsXs/uCIX+X0O3Z2WnHCFE1dHqHmOtUeniW+2EGc/Bj49AYc55HwsMCaVNnx5cfXuKpyw9+XoCdArNP1zAa8v+IXvkiwpDOvhClAOT0yaz8ou3uT5VsbnxQ7jsUVjsdQGIrVWHdrfccf6HTx2CsbfCz6etJ49MhkFzoPHNJrdcCCHKoaR28PBCqNHGW7ZhnDFlJ/PCB9S3vrYWiQ2jjEBZ2NToQZrvDUR9Pp4P1n1gWpOF8CXp4AtxhS3et5hRP/6Nh2e42FPrBrIj6qIsQQSE3ULne4dx47CnsNps53549yL4uDPs8Y72k9LL+MNWvYk/mi+EEOVTeIKxjWbr+71lR7fDpz0uuF++siiufagxjiBNcd5Ccl2r2VG/P/2WalZN/Ihvtn7jh8YLUTbSwRfiCvpl/y/8dcYTPDmhmILgOvxau4/nvQ631aXDbTdQLbnObx90uWDR2/Dl7ZB7xChTFmO+/R8nQHC0n74DIYQox+yBcNv/3Cd2BxllxXnGfvlTRkBxwTkfszlKcBV8i7MwFWfRZg5ExXAorj3Dprr4fNY/mbhjoh+/CSEunXTwhbhCVhxcwRPzHufRHwuIPRXIpkYPGp10oEb9SFpfl3zuB3OOwDf9YMFroN2HuYRUg/snGfPtLfJjLYQQZ2h1LwyZBzH1vGVrxsBnveFY2m9uDwwJJbFRA09cnDeHbfVvw0oMz0508tbCl/lp109+aLgQl0d6AkJcAWsOr+Hx+Y/Tf3Y+bXZrdtTvR67aRXHefOwBLq4d0ASL5RwLY3fOgY86wq653rLkTvDIEqjbzX/fgBBCVDTVmxrTF5uetqbp0Ab4uAukjv3NLju9Bj5KcIR7Lr7OpaDwF7Y0fpCkoxaG/+TkxSV/Y9ruaX5rvhCXQjr4QvjZusx1DJ07lC4rcrlxteZwXFsOxNahpGA5zsJ1uAq+QbvOOlilOB+mPwf/z959h0dVpQ8c/96ZSe+9EkoSaui9iyhFVFCxYK+rWHct61rWuq676666dn+2da0roFIEQYr03ktIIAkJIb23Saad3x83TDIkoYYQ8P08zzwx95577r2YTN459z3v+Wp6Q0oOwKg/wK3z9FxTIYQQx+fhB9M/hcv+CQY3fZu1GuY9BN/doi8SWM/Lz58J9zbU1XdYUyjxspMZN5EBaYpbltt5Zs0zLD60uK3vQogTkgBfiDa0u3A3M5fOJP5AFXf84qDGK5zkxOuwVv/M0QWtAiND8Q1ulEOftxv+bxxs+rBhm28E3DwHLnlBr/0shBDi5GgaDLlHT9kJbUjDIXk+vD8C0lY4N8UPHEqvsZc4v7fWLCM97iJKAxOZslkxbpuVP636E8uylrXlHQhxQhLgC9FG9hXv496l9xKQW8mjPzhAc2N3r7ups25DOYoBMLl7MGnmHzAYjPpE2vXv6mXdCpMbOuo2BWaug4RLWjiTEEKIE4rqC79bCYPuathWmasXL1j8DNj01WvH3X4PvsGh+n5lxmpexu4ed1DnHsBdix30SLfw+MrHWXl45Tm4CSGaJwG+EG1gZ+FO7l5yN5RV8OQsO951kNL1Bio8bNjrtjjbjb35TgIjo6AkHT6/AhY/DXaLvtPNGy5/E274CnxCz9GdCCHEBcTdGy5/HWZ8C96N3lfXvwMfjoUjW/Hw9mHifQ87dzmsadRyiL0970DDwKM/OAgvtPL7X3/P0sylzZxEiLYnAb4QZ9nmvM3cs+QezDUVPPa9ncgyyI0cTm54n/rUHF3HPv3pO34ibHgf3h8JmWsaOonqB/eugkF3yKq0QgjR2rpNbvpktDAZPr4EfnmeTj170m/iFOcuW82vlPgFkd75Cnzq4E/f2fGssvL4yseZnzb/HNyAEK4kwBfiLFqVvYqZS2dittZw7yIHPQ9DpW8sKUfz7lU1AN4BgUyecTXa51Pg5z/pdZoBNCOMfkxflTY08RzeiRBCXOD8IvR1RC77p/7EFPRSxGvfhA9HM+aivoTGdQJAM0agae5kxU2gMKQ3kWXw+Pd2DFYbz6x5hu9SWl5IS4i2IAG+EGfJkkNLeGTFI9TZ67hphYOxexRWkxd7et2N1bobh+2Qs+3kcfH4fD0JDm9o6CC8lz4JbPxzYHJv+xsQQojfmqMTcGeug06jG7YXpeL2xRQuH+jBsGnTSRh2H5rBH4Dk7rdi9gyh52F4eJ4DHA5e3vAy/9nzn3NzD0IgAb4QZ8Xcg3N5YtUT2Bw2Lt/oYOpGhQKSu91MtZsDm3m1s+2gOAudUt4EW/2KigYTjH1Sr9cc3f9cXL4QQvy2BXfWSxBPeR3cffVtykHI/o8ZWfAGE8aV4BvsAYDNzZs9ve7GbjAxNEVx92IHKMW/tv6L93a8hzqmvr4QbUECfCFa2Tf7v+HZtc/iUA7G7HZw63J9tdnDseMpCuuHZvBGM0UDEOlZySjvTQ0HR/aGe1bAuKdl1F4IIc4lgwEG3wX3r4cu4xq2lx7Cc841TOzyAwajvqnCN5YDCdcCcOkOxXWr9ff993e+zz+3/BPH0VXHhWgjEuAL0UqUUry17S3+uvGvAPQ/6GDmQv1NvTioOwfjpwGgGfwYFBPCqLBDTInZj1FTYPSAcc/qwX1Un3N2D0IIIY4RGAe3/ABXvg2egc7NkdkfMcLvc2y1m7BWzeZI1AiORI8CYPpaxcQt+vv/f/f9l6dWP4XlaEU0IdqArJAjRCuw2q08v+555qfr1RMSsxWP/6gwOqDaK5y9vX8Hmv55OsIthZFeH2D0tukHx1+sT+oKiT9Xly+EEOJ4NA0G3ApdJ8Mvf4ad36AUHCw4gM2sr2Niq11PauL1eNfkE1R2gDuXOqjwgfU9DCzMWEiRuYg3xr2Bv7v/Ob4Z8VsgI/hCnKEqSxX3L7vfGdzHFCn+PEfDzapPqt3d/0Gs9cG9j6GIyYF/x6jZ9NVop38KN38vwb0QQpwPfMPgqg/gtvlooYnEeFc4d9lrN2KzZbKnz33UeIaiKXhkPvTO0EfyN+Vt4rZFt5FXnXeurl78hkiAL8QZyK/O57afb2NDrl79JqJU8cpsdzxrbDg0A3v73EO1my+Wii+xm1cxKfBVfIxlMOReeHAzJF0jde2FEOJ803kMzFzLkGtupYNPQ5BvrV5Inapld/8HsBk9MdgdPP2jka7Z+kTbg2UHuWnhTaSWpp6rKxe/ERLgC3GaDpYe5OZFNzvfqMPKFK/N8sa71AxAWuLVFPt1xVr9M8pRirV2C5urIuGe5XDZP8Az4FxevhBCiDNh8sAw7o9Mee4tfD3rB2pUHdbq+VS5B7Gv9+0oNIy1Vl6abaJbjh5yFdQUcNui29iYu/EcXry40EmAL8RpWHNkDbcuutX5qDWywsgb3/vjWVwJQE7MCA5Hj8NeuxGHNc15XNcbnoKYAefkmoUQQrQ+n079uPLZf2I06iV1lL0Qa81SCgOSSE+8EgCDuY6XZhvpVaiX1qyyVnHf0vuYkzrnnF23uLBJgC/EKVBK8fnez3lg2QNUWvVgPqbGkzfm+OKeXwpAWVACKQnXY7dmYKtd5zx24OVX0W3EmHNy3UIIIc6eqMRuXHznTOf3Dksy9rodZMZMID92MABatZnnv1UMKAsCwOaw8cL6F3h146tYHdZzct3iwiUBvhAnqc5ex7Nrn3WpaZxoDeGNrxwY8/QqCjU+Yeztcxd2RxXW6oXOYzv07M2YG28/F5cthBCiDfQeP5GkcROc39vMK3HYjpCccBPlofWFFKpqeOrzUsZWxzjbfb3/a2b+MpOy2rK2vmRxAZMAX4iTUFBTwJ0/38m8tHnObaOsYfzto1woqgGgztOf3YMeoBYvrNXzQNUB4BsSyuW/fxJD/eNbIYQQFx5N0xh/531EdEms3+LAWr0YuzKyK+k+qgOiAFA1Nh76MIPrKsKdx27M28iMn2ZwsPTgObhycSGSAF+IE9hTtIcZC2awq2iXc9tNhTYe+78s7OX6r5DN5MG+EQ9RRSjWml9Q9iIAjCYTVz76FN4Bgc32LYQQ4sJhcnfnyseewsvPH/+wSPwir0HTDFjxZvegR6jz1f8WOOoMXP/xYf6YUes8Nrsqm5sW3sSKrBXn6vLFBUQCfCFaoJRidupsblt0GwXmAgCMSvFcRinTv7FhrXADwGEwkTr5z5Q6ovVJtZb9zj4uvnMmUQndzsn1CyGEaHv+oeFc8/RL3PL3N7nqsUtw99Sf3tbY/dgz9nls3j4A2OuMDPnewLu7S/By6GU0a2w1PLLiEd7Z/g52h/2c3YM4/0mAL0Qzaqw1PL3maV5c/yIWh768uL/dzofJxfT70Rtrtb4ItDIaybjhn+RVBqEcZmx1W5199B4/kT7jJ56T6xdCCHHuRHRJwNPHl9BYPybP7IPBpJfRLK92J/nyf6F8fAFwWAyE/+zLF1uLibHqq5srFB/u+pB7f7mXInPRObsHcX6TAF+IY6SVpTFjwfUsSF/g3JZosfDlrmKCFvljq63PpffwIO+ut8jM0UfyNYMXg6f9kYCISOKS+jK+UUUFIYQQv02x3YK45PaeOOx52C2pFBbYSbvuTbSgEACUzYBaHsBnm0oZam5I2dmYt5Fr517D5rzN5+rSxXnMdK4vQIj2ZP6+r3h5y2uYVcOj0asrq3hkXzWFq4NxWPVRGIO3N2X3/5vkLRZnu95jYxh9fVcGXdYdg9GI0SS/XkIIIQB7GraaWThsDjTNm6yMWLxueZ24//0Re34+yqFRtjqI1yylfNOvjg8C/VGaRlFdCXcvvpOHut/CnUMex6DJuKw4OfKTIgRgLtjHi99O4unNf3MG954OB38pLObxA54UrAp3BvfGgABqnnifLY2C+/j+YYy6viuapuHtH4Bn/eNXIYQQv20Ou511s77CYbMCdizV83DYS0nZVUX+HW9giovTGyrI2xDEDckhfJBfSJBd/1vkAP69/wse/GoMpRkrz9l9iPOLBPjit0spyFjFvq+mcsPcq5ldd8S5q5PFytc1How13Ej2MhPKpr/RmsLCqH3yfdatrEIpG5aqBQRHVXPJnT0xGLRzdSdCCCHaKYPRyLQ/PtdQTU3VYq36AeUws2tDKQW3vYZ7YqKzff7KWhKrr+M7WxgDahtSdlbby7l6+UzWfnoR7JsHMglXHIcE+OK3x1YH27/C/sEoPv7xJm6yppHu7ubcPdnuzjdDXiSg7mZy/+8nsOkTn9w6dMDy1Pus/qUUpRTWmqU4rKkUHPyMjG0bz9XdCCGEaOcCwiOY9sSfMbm5A6AcZViq56GUjR2riyi67e949u3jbF/03VLsB4bw0dj3uIOGMstFJiP3GYt5denD1L7VD9a/B7UVbX4/ov2TAF/8dpQfgeWvwBtJHPnpIe40FPDv4EBsmj7y7oXGC4kzeHXGGso/30Tx/33kPNSje3esT77Dyvn5KIfCZl6Fw7IPAJvFQmlezjm5JSGEEOeHqMRuTH7oMef3ynYEa/VClHKwZWkuRTe+jM+oUc79FfMXkPuX//LI1Pm81/9xQrSGgaivA/y43sdK8orn4PWesPCPUJjSpvcj2jcJ8MWFzeGAtBXw7U3wZm/Uqn8wX6tiekwU2zw9nc36BCYy+6oFTO0xk8N330PFwoXOfT5jRmP/41us+P4ISoG9dhP2RuUwk8ZNYPCV17TpbQkhhDj/dB06kjE33eH83mE9iLVmCUopNi3Kpuiapwm87jrn/potWzg040aGBo5jzrW/cFHkcOe+dHc3boyO5BMvsG/6EN4dAv+5HPb+CHZrm96XaH9aLcDXNC1W07RPNU3L0TStTtO0Q5qmvalpWtAp9hNcf9yh+n5y6vuNbaH9IU3TVAuvvNa5O3HeqSnRH12+Oxi+mAb7F1BoUPwhPJSnw0KpMug/+kbNyP197+fzK74jslSRecMMzFsbgvfAGTdgu+8lln55UB+5r92OrXatc3/C4GFces8DaJrk3wshhDixQVdczcDLr3J+77Dsw2ZegVKK9XMzyB9zF+GPN4z0WzIyOHT9DXjtz+KtCR/y/PDn8TLqA1Q2TePN4CBuj4og3c0Eh1bDrNvgjSRY8ar+5Fr8JmlKqTPvRNPigXVAODAX2A8MAcYBKcBIpVTxSfQTUt9PV2A5sBnoDkwFCoDhSqn0Y445BAQCbzbTZZVS6p+nd1fO/rcOGDBgwNZGQZ9opxwOyFgJ27+A5Plg16vcKOBHXx9eCw6i0tjwmbaDXwdeHf0qfcP6Ur1xE0ceeQR7WZm+U9MIf+IJSvtN4ZdP9uKwK+x1+7DW/Ow8Pq53P6568nlMbm4IIYQQJ0spxZIP32bPiiXObW6+0zG66RV1Rk5PoIttHzl/fBJl0f+Wae7uRL3yCgFXXE5mRSZPrX6K3UW7G45Xipml5dxeXoHzr5JmgPjxMOAW6DoZTO5tdYviNA0cOJBt27ZtU0oNPJN+WivAXwxMAB5WSr3daPvrwB+AD5VS951EPx8CvwPeUEo92mj7w8C/gcVKqUnHHHMIQCnV6YxvpPlrkgC/vSvPhh1f64F9WZbLriMmIy+GhbPe0zUIn951Ok8MegIvkxel//0v+f94DepLkmkeHkT/4x8c8evNii+S9bQcy0Gs1fPRPy7ouZTTn/0L7p5ebXKLQgghLiwOh52f/v0aqRvWMGrGnRw50JHctHLn/kGXdSIppowjDz6IvbTUuT34ttsIf+JxbAbFR7s+4qNdH2FTNuf+7lYHLxXk08NyTJqOdyj0vQEG3Aph3c76/YnT024CfE3TugBpwCEgXinlaLTPD8gFNCBcKVV9nH58gEL0kq9RSqnKRvsM9efoVH+O9Eb7DoEE+L85lmpIXgC7voX0X6Hhxw7Qf4i+6dCdf7tbMTsa3uRifWN5YcQLDI0aisNsJvfPz1GxoGHFWmNICB3efYfU4hDWzDoAgN2ahbX6B6ivjx8a14nrn/8bnr5S614IIcTps9usZO3eSef+g7CYbSx4dye5BxuC/N7jYhk6zIPs+2ZiychwbvceMoSYN17HFBJCSkkKz617jn3F+5z7jRi4Az/uO7Qbj+bCvNjB0Od6SLoGvIPP5i2KU9RaAX5r5OBfXP91SePgHqA+SF8LeAPDTtDPcMALWNs4uK/vxwEcfY41rpljPTRNu1nTtKc1TXtE07RxmqYZT/VGRDvnsOsTZn+4D15LhB9+B2nLXYN7z0D2DriBm/uN42+mGmdwb9AM3NrzVr6f+j1Do4Ziyc7m0IwbXYJ7z7596DR7FruzA5zBPYCnd6EzuA+MjGL6My9LcC+EEOKMGU1udO4/CAB3LxNXPNyPuF7BHB183b0im9Urqon79n/4jh/vPK5m0yYypl+LefduugV346vLvuLRgY/iYfQAwI6Djynn6l5DWTP4ZvCLdj1x9mZY+Dj8s6tehGLfPL2EtLhgmFqhj6PPeVJb2H8APX2nK7DsDPuhvp9jRQJfHLMtQ9O0O5RSJ7Xsm6ZpLQ3Rdz+Z48VZohTk7oA9c2D3bKjMbb5d57GU97mWt2rSmHXwexQNQxbxAfG8NPIl+oTpNYar1qwl57HHsJc3jJIEXnst4c88w7p5mexanu3cHhUfwJQHfs+OJZ3YseQnrn32FXwCT2neuBBCCHFS3NyNXHpHVz577E9Y6hIxefQiZUMeFrONS19/g/JPP6bwrbdBKWy5uWTedDORzz9P4DVXc0fSHVwcdzHPr3uerfl6SJNVncvM6lzG95/AH8OGE71vAaQsAkd9So/DCvsX6C/PQOg1DZKmQ8cRYJBx0vNZawT4AfVfy1vYf3R7YAv7z7Sfz4DVwF6gEugCPIiey79I07ThSqmdJzi3aG8KkvWgfs8cKElvvk1oN+h7PY6k6fxQuIU3t71JWV2Zc7e7wZ27et/F3b3vxt3ojrLbKfrgA4refU+fkAtobm5E/PlZAq6Zzoov97N/fUPhpQ49g5l8b2/cPIwMnXYt/SZchoe3z1m9bSGEEL9dVksd89/4CzVl6UA6YMfk0YeMnUUsfH8Pk++7B8+ePTnyxB9xVFSgLBZyn3kG844dRDz9FB39O/LpxE+ZnTqbN7e9SaVFT4hYdng5a3PWcU+fe7h98mu4718AO7+BI43GNmvLYOt/9JdvJPS6CpKu1tN5pFLceac1AvwTOfpTcaazeZvtRyn14jHt9gD3aZpWBTwGvABcxQm0lOtUP7I/4FQvVpwipaBwv179Zs/3UJjcfDvvUOg9XZ8oFNWPPcV7eXXd0+wq2uXSbFTMKJ4a8hRx/npFAmteHjmPP0HNli3ONqbwcGLf+jfGbkn89N5usvbqhZ4c1mziByUx8e4+GN0astgkuBdCCHE22erqMFdVNXxfsxSUHZNnf7L3l/LDv7Yx5f5hdJ71HdkPPkTdAT25oWzWLGq2bSPm9X/h2a0b13W7jvFx43lz25v8ePBHAGrttby9/W3mpc3jycFPMnrIcig6ALv+p78aF6moyoON7+uvgDh9ZL/nVIgeAAZZQul80Br/l46OrAe0sN//mHZnu5+jPqj/OuYk24u2phTkbIelL8I7g+G9YbDilabBvYc/9J0BN86Cx/bD5L+T4x/Bn9Y8xYyfZrgE99E+0fx73L95b/x7zuC+culSMqZOcwnuvQcNovOc2djiuvP9P7c6g3u7JRVL9WzMZXNR2M/+v4EQQghRz8vPn2v//AoRXRKd22zmFdhq9b9fRYermP23zZRrwXT69hv8p0xxtrOkpXHo2uso+eorlFKEeIXw8siX+WLyF3QPbsg2zqzI5P5l93PvL/eSYnDAxc/CwzvhjkUw+B7wCXO9qPIsWPcWfDwe3kzSV83NWK3PixPtVmtU0bkb+Aj4P6XUvc3sP1pC8xKlVIs5+JqmXQL8gj5Zd2Iz+4+W0LxbKfXJSVyXP/qHgTqllOeJ2h+nH6mi05rsVshar+cAJi/Q3zia4+YNXSfpM/wTLgE3/X9hpaWSj3d/zJf7vsTisDQ0N7hxR9Id3N37brxMeulKR20tBf/4B6Vff9PQr8FA6AP3E3rffRRmV/PTu7uoqdD7sVuSsdYsdk7a7TfxcsbfecLqrkIIIUSrqqupZs6rz5Obut+5zeQ1EpPnUP2/PYxMuKsXnXqHUP799+T95RWU2exs6zt+PFF/eRlTkD5nzOaw8V3Kd7yz/R0qrQ11TDQ0piVM48H+DxLuHa5vtNsgc42eIrtvnp660xzvUOh+GXSbAl3GgpuUjW4N7alMZjxwkOOXyTQAYScok+mLvpjVKZXJPE5/E4GfgWSlVM9TvzNnPxLgn6nacji4VA/qDyzRv2+Omw8kXgo9r9SDe/eGlBirw8rs1Nm8v+N9SutKXQ4bHzeePwz8Ax39OzacMjWVnMefoC61Yc62KSqKmH++hvfAgaRvL+SXT/dis+o/rnbLLqw1y/SnCkBQVAzXPvcKfsGhrfWvIIQQQpw0i7mGH/7+EtnJe5zb3H2HoJlG6qunazBqeiJ9Lo7Fkp7Okccep25/ow8EERFE//3v+Awb6txWZC7i3R3v8v2B73E0qkDnZfLi9l63c3uv2/F28264CJsF0ldA8jzYvxDMJc1frMkL4i+GbpP0v9++4a33D/Eb024CfDj1ha40TesOoJTaf0w/R0fpX1dKPdZoe7MLXWma1gvIVUqVHNNPR2ApkAA8o5T66xncmwT4p0opKEqFA7/oAX3m2oYZ+8fyDIBul0GPK/Q3h2NGAOwOO4sOLeKDnR+QWZHpsi8pJInHBz/OwIiG3wFls1H88ScUvfsuytpQ/97v0kuIevllDAEBbP8li/U/pIHSVxPEtp66qg3OtiGxcVz7Z6mWI4QQ4tyy1tby42svkbWnIRXVw7cXmMajafo0yqSxMYy+LhFsVgpe+yelX37p0kfQTTcR/ugfMPg0DJodKD3A61tfZ82RNS5tQzxDuKfPPUzvOt1ZctPp6Mh+8nz9CXxVHs3TIHYQJE7Qn8BH9ZO8/VPQ3gL8eGAdEA7MBZKBoeg161OBEUqp4kbtFYBSSjumn5D6froCy4FNQA9gKvro/gilVFqj9i8AfwJWABnoVXTigSmAJ7AQuEop1ZDLcer3JgH+ybBUQ8YqPaA/sLTl1BsA/1joNll/dRrd7NLZDuVgWdYy3t3+LmnlaS77on2ieWTAI0zqPAmD1vCmUZuaSu5TT1O7d69zm+bhQcRTfyLw+uuxWR2s/DqFlA36m5JSdjT7MmorG0ZHIrokcPVTL+Lt39JUECGEEKLtWC11LHjz76Rv3eTc5h8+Aou1YXmh2O5BTLirF15+7lQuX0Hu009jL2tIrXGLjSXqlVfwGTrEpe91Oev415Z/kVrqWqE8wjuCe/vey7SEabgZXFeCB/RKdNmbIGUhpPwMRSkt34BPmB7oJ1yiD+TJwlrH1a4CfABN0zoALwGTgBD01JwfgRebGWFvNsCv3xcMPA9MA6KAYmAR8JxSKvuYtmOB+4D+6LXwfYAyYAd6Xfwv1BneoAT4LXDYIXen/ugubQUc3gj243yOiu6vj9R3nQSRvVssuaWUYlX2Kt7Z8Q77S1we8ODn7sddSXdxc8+bXUYW9FH7jyl89z1oNGrv2bs30a/+FY+EBMoKavj5wz0UH6mqP08dmmMRtRUN2V6d+w/i8t8/ibun5BEKIYRoPxx2O8s/+4CdvywiJDaO6c++yto5hzm4pcDZxjfIg4n3JBHZJQBrfgF5zz1H1UrXpYCCbryR8McedRnNtzvszEubxzs73qGgpsClfYxvDDP7zmRKlymYDMcpvFicpqfhpizS59mpFibgagY9HugyTg/2Ywc3O8j3W9buAvwLlQT49ZSC0gx9lD5tBWSsBHNpy+3d/SD+ooZHdP7RLbdFH7H/9fCvfLz7Y3YX7XbZ523y5paet3Brr1vxd/d32Vebkkru08eM2ru5EfrmZoWbAAAgAElEQVTwQ4TccQeayUT6jkKW/Wcfllr9DUc5qtAc86itbHi82Hv8RC65634MRlnYQwghRPujlGL7onkkDBmOf2g4yqHY/FMGm3865GxjMGqMujaRpLExAJTPnUv+X1/FUVHhbOMWG0vUX17GZ9gwl/7r7HXMSpnFx7s/pri22GVfJ/9O3Jl0J5d3uRw3YzMj+o3VlOirzB/4RZ9/V1PUcls3H+g0CuLHQeexEN7jN19zXwL8NvKbDvDLDsOh1Xo5rEOrofzw8duH99QnySZOgA5D4URvAugz+xdlLOLTPZ9ysOygyz5Poyczeszgjl53EOTpmg9vr6qm6N13Kfnvf8HeMFLg2acP0X99BY+EBBx2BxvnpbNtcUO6kMGkMXxaLDt+fpPiw3pO/8jrb2HoVdfpk5aEEEKI88ih3UUs/r/V2KwNqaVdh0Rw0U3dcfMw6qP5zz9P1a+/uhznf+UVRDzxBKYw17KYNdYavk35ls/2fOayeCRApE8kt/e6nasTr3ZWrDsuhwNyt+upuweW1C+sdZy40ztUD/g7j9FfIQm/uYBfAvw28psJ8JWCskzIXKdPij20Vh+xPx6fcP1Td5dx0OUi8I866dPV2mr58eCP/GfvfzhSdcRln7vBneu6Xcddve8i1Mu1io1SisrFS8h/9VVs+fnO7ceO2tdUWFjyyR6OpDS8OfkFezLp3iTCO/pTUVTI/174EyOuvZFeY8ef9HULIYQQ7cmeFb+w5MO38I8cT625t3OwKjjah0m/SyIo0gelFBXz5pH3yl9dRvMNfn6E/f4Rgm64Ae2YJ9hVliq+TP6S/+79r0tpTYAgjyBu7nkzN3S/ocmT9eOqKdEzAY6m95ZlHr+9b6Qe8HccAR1HQli3Cz7glwC/jVywAb7Doa8cm7VeD+qz1kPFkeMf4+4LccP1YD5+nD5if4q/aEXmImalzOLblG8pqXUtt+Vt8ub67tdzS49bCPMOa3KsJTOTvJf/QvUa11n/3oMHE/nC83jExwNwaFcRy79Ixlyp5+Mr5SCuVygT7uqFp0/DUwWbxYLJXXL/hBBCnJ/yDqby7QtPYq+ffxYY1RezeQyapv+tM7kbGHVtIj1HRaNpGtb8Agr+/jcqFi5y6cezZ08iX3gerz59mpyj0lLJ/1L+xxf7vmjyd9vHzYerEq7ixh430sGvw6nfQEm6Huin/wqH1rRchvMor+D6YH8ExA2DyD4nlS1wPpEAv41cMAF+XZX+aOzwJji8AQ5vhroTLAps8oK4ofpjsk5jILrfaf8ipZSk8GXyl/yU/hNWh9VlX6BHIDf1uIkZ3WcQ4NG0eo2jupqijz+m5JNPUZaGibzGkBAinvwj/ldcob9x1dlZO/sAe1fnONsoZcbLcxkDJl9M/0mXn9a1CyGEEO1RVWkJ819/lZzUhhXgfUOisavJKNXw97RTn1DG3dwdb399UKtq7VryX3oZS2ajEXRNI/Daawl7+CFMoU3XgKm11fLDwR/4bM9n5FbnuuzT0BjXYRy39LyFgREDTy/l1eGAgr0NacGH1p44TnHzhpiB0GGInhocO/i8r9IjAX4bOS8DfIcDig9A9hbI3gxHtkD+vpZntR/l7qcH9HHD9U/HMQPB5HH8Y47D7rCz+shqvtj3BZvyNjXZH+4dzu29bueaxGtcF9aop2w2yr7/nsK33sZe1GiSjsFA0IwZhD3yMEZ//dFg/qEKfvl0L+UFDSv5eXiWYK1ZQE15EQajkWv//AqxPZJO+36EEEKI9sZus7LiPx+x85eFzm3uXj74hF6JuaohddbLz42Lb+1Bp9568O6wWCj55BOKPvgQVVfnbGfw8SHknnsIvu1WDF5N8+ytDiuLMhbxye5PSC9vuu5oj+Ae3NzzZiZ2mti0lv6pOFqt72imQea6E4/wA4R2hZhBEDtQD/jDe4HxOBWA2hkJ8NtIuw/wlYKKHMjZrr+ObIEj20/8qRf0HPoOQ/S8to4jICKpVX4JCmsK+f7A98w5MKfJp3yA3qG9uaXnLVzS8ZJm6+sqpahevZqC116j7sAxE2979yby+efxSuoFgMPuYNviTDYtOIRyKOfxIZFZ5KfNx25tGPG/6NZ7GDhl6hnfnxBCCNHe7F6xhGUfv4fdVr+wpKYR030CRbk90BqtGdNrTAwjr0nAzUPPubccPkzeX/5C9cpVLv2ZIiMJ+/0jBFx5JVozC1U5lIN1Oev4ct+XrM1Z22R/oEcg0xKmMb3rdJeV5k+bUlCYAln1wf7hjVB2nDV3nDfipWcgxAzUS3TGDICgzu02l18C/DbS7gL8yjz9E+3RgD5nO1Tln/g4NIjoVf8Ya5j+NahTq/2AO5SDDbkbmJUyixWHV2A/5mmBUTNyacdLubnnzfQN69tiP7X791Pwj39QvW69y3ZTRARhv/89AVde4ZwIVJRdxYov91NwqGHCkMndip//OnIPNPz/cvfy5rKHHiN+4FCEEEKIC1XuwRTmvf4qVcUNT71DO3TFqsZTV90wGh8Q5sVFN3UjtruezqKUomrlSgpe+yeWNNfFJT169iDiiSfwGT68xfOmlaXxVfJXzE+bT629tsn+oVFDua7rdYyLG9f8wlmnqyJXD/SPph/n7gSH7cTHeQbqQX/0AD3oj+oLgXHtIuiXAL+NnLMAXyn9k2nuzoZX3q6TDObRV45r/Igquj94tv7qrLlVucxPn8+PB3/kcGXTMppBHkFMS5zGjG4ziPJtucpObWoqRe++R+XixS7bDd7ehPzuHoJvu835qNBmsbP5p0Ps+CULh6Ph5zcwvJTKgnlUlzbU7w2O6cDUx58hODr2TG9VCCGEaPdqysuY/+bfyN7XsEp7SGwnwhN/R8YO15r03YdHMvKaRDx99aBb2WyUzZ5D4dtvYy92rYXvPXQoYQ89iPegQS2eu6y2jNkHZjMrZRY51TlN9od6hXJF/BVMjZ9KfGD8mdxm86xmPV5ypihvPXGJ76M8AyGqjx7sR/XTJ/CGxIOhbdfHkQC/jZyTAN/hgNd7QFXeiduCXt0mql/9p9H+ekB/Fj+Jmm1mlmYuZW7aXDblbkI1U9N2UMQgrut2HePjxuNubLlSTV1aGkXvvkfFokX6h5qjDAZ9ss+DD7jU6D2cXMKvX6dQUdiQa68ZHYRF7SNrzy8uffQZP4mLbr0bN0/PM7xjIYQQ4vzhsNvZ+MN3rJ/zDSi47vm/EtO9F/vX57Jm1kEs5oZRbi8/N0Zdm0ji4Ajn5Fh7VTXFH39EyWf/ccnPB/AZMZzQhx7Cu3//Fs9vd9hZl7OO71K/Y1X2KhzK0aRNUkgSUxOmMrnz5GYLbLSayjw94M/Z1pD5cLyFOhtz84GHtp5SGfAzJQF+GzlnI/j/d5H+Q3gsNx+I7K1/woypf7QUknDWP2HaHXa25m/lp4yfWHxoMdXW6iZt/Nz9mBo/lWu7XkuXwC7H7a8uI4Oi996nYsEC18Ae8B0/nvDfP4JHYqJzm7nKwrrZB9m/wfVDT1RCAAa1lLQtq53bPH39mHDvQyQOGXE6tyqEEEJcEHJSk8lLO8CAyVc6t1WX17H6f6mkbSt0aRvXM5ixN3bDP7Qhlceal0fh229T/uNcl0UlAXxGjybsoQebLa3ZWF51HnMOzOH71O8pMBc02e9mcOOiDhdxRZcrGBkz8riDgq3i6Lo/OdvhyDbI3QG5u6C2rGlbjwD4U2abpu5IgN9GzlmAP+9h2De3/lFRH32EPqovBHdps8dFSil2F+1mUcYiFh9aTKG5sEkbDY3h0cOZGj+Vi+MuxtN0/NFy8+7dFH/8CZVLljQN7C+6iNAHH3ROoAWw2x3sXXWETfMzqKtpGHFw9zIx4up4eo6MpuBQGl8/+zgOu424pD5MeuBR/IKblvgSQgghBOxbvYIDm/ZQWpBEdXnD32Kjm4H+l8bRf0Ic7p4NRTcsmZkUvf8B5fPm6VkGjXgPH0bIXXfjM3LEcctj2hw21uWs48eDP/Lr4V+blMwGfaDwkrhLmNx5MoMjB2MytFH1m8Zp0Xm7GlKjQ7vC7Qva5hrqSYDfRs5ZgG+pATevNp/woZRif8l+lmQuYVHGoiarzB7Vyb8TUxOmcnmXy4n0iTxhn9WrV1P88SfUbGpaLtNnzGjCHmw6CpC5p5i1sw9Qmlfjsj1hYDijrkvEJ6Ch/NbWn+bisNsYdPlVzc72F0IIIYSeo//ZozOprarEPzScyG5XkZXsQ+NsW58Ad4ZdFU+3IZFohoY45HhP3z26dyfkrrvwnzwJzXT8wLy8rpxFGYuYe3Aue4r3NNsm2DOYiZ0mMqnTJPqG9cXYxrnwAFiqwd2nTU8pAX4baXdVdM4Ch3Kws3AnSzOXsixrWYtBfbBnMBM6TmBKlyn0Det7woUsHBYLlYsWUfzJp9SlpjbZ7zNqFKEP3N8kj68kt5q1sw+Stdd1go9fsJGg8L3E9oij/0RZtEoIIYQ4VRt/nMWabz532dZ5wGjq6oZRkuOahhPe0Y9R13UlKt41R74uLU0P9BctajKi7xYdTfDttxNw9dUYfU8cHB8sPciC9AX8fOjn48YfF8ddzCVxlzAkcghuF9jqtY1JgN9GLtQAv85ex+a8zazIWsHyw8spMhc1287PzY/xHcczufNkhkQOOanHZdbcXEr/9z/KZs1uMgsfoxH/KZcRcuedeHbv7rKruryOrQsPsWd1jrOmPYCbp5EufWo5tH0W5QV5uHl4cvvr7+EfGn7qNy6EEEL8himl2LdqOb9+/hG11VXO7V7+AXQdPp2s5FDMla7pMwkDwxl6ZRcCI1wXpbRkZ1Pyn88pmz0bVetaHtPg40PA1KkE3XQjHvEnrpijlGJX0S5nWvDx4pIxHcZwcYeLGRE9Al9335O99fOCBPht5EIK8POr81l9ZDUrs1eyMXcjZpu52Xa+br6MiR3DxE4TGRUz6qQmvCilqNm4kdKvvqZy+fImk3E0b2+Crp1O8K234hYT47LPXGlh2+JMdq88gt3aaCRAgy593agpWc6hnZtdjhl61fWMuuGWk7xzIYQQQjRWXVbKis8/ImWd6wJXUQndCetyGWnbDdhtDX+TNQ26DYtk8JTOLhNxAWylpZR+/TWlX36FvbRphRrvYcMIunEGfhdffML0HdALe2zJ38LPh35medZySmqbX8HWZDAxMGIgY2PHMjZ2LHH+cSdz6+2aBPht5HwO8K0OK7sKd7H2yFrWHFlDcklyi22DPYMZ12Ecl3S8hKGRQ0/68ZetuJjyefMpmz27yeIYoK+EF3TDDQTdcD3GwECXfbXVVrb/ksWuFdnY6lw/EER28cDbZyf71y7BYW+YXOvh48PYm+8iadylJ0wREkIIIcTxpW/bzNKP36Oy2LWQRsKQMZi8xnJol2vVPINBo/vIKAZN7oRfsGthDYfZTNkPP1D65VdY0tObnMsUGUng1VcTcPVVuMee3Po0doddTyPOWsryrOUtpvGAPj9wdOxoRkSPYGDEQLxMXi22ba8kwG8j51OAr5QisyKTdTnrWJ+znk15m6ix1bTY/ugvwvi48fQL63fSE1iU1UrV6tWUzfmeqpUrwdZ01bjjfVo3V1nYtSKbXcsOY6l1DexDO/gQFpPJ/jU/Yq6scNnXa+x4Rs24Dd+g4JO6TiGEEEKcmMVcw/o537Jt4TznoJpvSCh3vvEBxTl1bJqXzuFk15F5g0mj16gY+l3aAf8Q10C64an+V1QuW94kTx/0hbMCr7kav0svdS5keSJHC4Esy1rGquxVxx24dDO4MSBiACOiRzAiegRdg7pi0Np/EQ4J8NtIew/wc6py2Jy3mU15m9ict5nc6twW25o0EwMj9UdZY2LH0NG/40mfRylFXUoK5fPmUz53btPcevRVZwOmTSPoxhl4JCQ02V9eaGbn0iyS1+Vis7r+sofE+NB7bCCb575JcbbrqnPR3Xoy7rZ7iIxPRAghhBBnR2leDqu+/IyDm9dz2UOP02PURc59OQfK2DgvnZwDrvXiNYNGwsBw+k+II6yDX5M+nfPyvpuFvaRpqo3B1xf/yZMJmHolXgMGnFIlvMapxxtyNlBrr22xbbBnMIMiBjEkcgiDIwfTOaBzu8wEkAC/jbSnAF8pRXZVNtsLtrM5bzOb8zYf91EVQLRPNCNi9E+vw6KG4efe9JfveOoyMqj4aSEVCxc2+7gNwGvAAAKvvgq/SZObnTFfkFnB9iVZpG0rOLaqFkGR3gy+vDMJA8JROPjvEw9RnJ0FgH9YOGNuuoOuw0a1y19CIYQQ4kKUeyCFyISuLn97lVIsfOdf+AZ3oTA7hvyMpgtedugRRP9LOxLbI6jJ322HxULV8hWUfT+H6jVrmx3VN0VG4j95Mv5TpuDZq+cp/e2vtdWyOW+zM4shrbxp2nBjIZ4hDI4czODIwQyMGEjngM7tYoRfAvw2ci4DfJvDRkppCjsKdrAtfxvbC7Y3u9hUY94mb4ZEDXE+korzizvl4NiSnU3l4sWU//QTdfuaf/xlCg8nYNo0Aq6ahkfnzk322+0OMnYUsWdlNkdSm64OFxLrQ6/RwfQanYChUY3dlPVrWPzBvxk67VoGTJmKm7tHk2OFEEII0bYyd+1g9ivPAhAQHkHisMspyY8lJ7WySdvQDr70viiWxEERuHk0Tf+15udTPnce5XPmYMnMbPZ87h074j/lMvwmTsKja+IpxzJ51XlsyN3Aupx1bMjZQGld08m/jfm7+9M/vD/9w/szIGIAPUN64mFs+xhEAvw2ci4CfKvDygNLH2BH4Y4WK90c5WXyon94f+en0J4hPXEznFp9WKUUdfv3U7l0GZVLl1KXktJsO83bG7+LLybgisvxGTmy2ZnwlSW17FuTw761OdSUW5rsj+0eQGh0PhnblwBw01/fcB0hcDiora7Cy8//lO5BCCGEEGfPD39/kfRtrhXtAiOi6DpiElXlncnYUdbkKb27l4luwyJJGh1DcHTTJ/xKKczbt1M+dx6VixdjL2s6IAjgFheH3/jx+F0yHq9+/dCMp7bolUM5OFB6wJnSvCV/C5WWph9MXM5pcCMpNIl/jPnHCRf0bE0S4LeRczWCf+WPV5JRntFku4+bD/3C+tE/vD9DooaQFJJ0Wgs+OCwWzNu2Ubl8OVVLl2HNyWm2nebmhs/YMQRMmYLv2LEYvL2btHE4FIeTS9iz8giZu4ua/IJrBo0uff3w9D5A6volLjP1pz7xZxIGDT3l6xdCCCFE27HUmtmx+Cc2z5tDbZVrcOzp60f3kZeiDH1I21rVZJ4dQHRiIEljYujSLwyjW9NUGGW1Ur1+PRU//UTl0mU4qpumAAEYQ0Lwu3gcvuPG4TN0KAafU19p1u6wk1qayqa8Tc4MieZG+D2MHqyfsb5NF9aSAL+NnKsA/4V1LzDnwBwivCMYED6A/hH9GRA+gITAhNNertmSfYTq1auoWr2G6g0bUDXNV9jR3NzwHjEc/4mT8Lv0Eox+zeftF2VXkbIxjwOb8qhuZrTeO8CdLn09qK3cQsq65VhrXZ9GmNzcGX3THQyYfMVp3Y8QQggh2pbFXMP2nxewZf73LgtlARhNJhKHjiEodhzp22spL2yaheDhbSJhYDjdhkYSGR/QbOqNo7aWqlWrqFi0iOqVq3AcJ17xGjQQ39Fj8B09CveEhNOas6eU4lDFIbYXbHe+MisyGRQxiM8mfXbK/Z0JCfDbyLkK8A9XHsakmYjyjTrtPuwVFdRs2UL1hg1Ur1nb4iRZAIOfH75jx+J3yXh8Ro1ucXnp6rI6Ujflk7Ixj+IjVc22ienqT0h0EQUZG8jcuQ2lXD/Je/kH0H/i5fSdcBne/gHN9iGEEEKI9stSa2bPil/YtnAu5QX5zu2aZuCutz7CPzSc7JRS9q46QvrOIpcV6o/yD/Wk69BIug2JbLJK7lEOi4WaDRv0NOLly7EXNb/CLYApOgrfkSPxHjYMn6FDMYWGnvb9FZmLKK8rJz7wxKvwtiYJ8NtIe6qicyKO6mpqtm2nZuMGqjdspHbfvmZnqR/l1qEDvqNH4zv+YnwGD0Zzb37F2qrSWtJ3FJK2rZDcg01z7AC8/NzoOlTPszuwcRGrvmr6iTc4pgMDp0yj5+hxmFo4lxBCCCHOHw6HnYObN7B1wY/kpCbTddgorvjDn1za5KVnk7wmnexUExVFzZeyDIvzI35AGF36hREU2fwgo3I4MO/cSdWyZVStWk1daupxr809IR6focPwHjYUn8GDmyy42R5JgN9G2nOAby0owLxtOzXbtmLetp3a5GSw21tsr3l44D10CL6jRuM7ZjTunTq12La8sIa07YWkby8kP6Oi2TZGNwMde/rSfWRHOvYKwWDUc+oqS4r46P47nSP3cb37MWjKNDr1PbX6tkIIIYQ4f+Sk7sfD25uQ2DiX7Ss+/4htC+cS3jme2J7DsVg6k7W3Dou56UKZAMHRPnTpF0b8gDBCYnxbTLux5udTvXq1nnq8bh2OyuNPnPVITMBrwEC8B/THa+BA3GJi2l0Zbgnw20h7CfAdFgt1+/dj3rUb866dmLfvwHr48PEPMhjw7NULn6FD8B46DO/BgzB4ejbb1G5zkHuwjMw9xWTuLaE0t/nJLWgQ1cWLgNB8yvN3kbV7Gze+8jrhnbq4NFvy4Vt4BwSSdNGlBEaefpqREEIIIc5fNouFD2fe5joxV9OI7d6LkA4DqK7qQE5qLQ578/GoX7AncUkhdEwKIbZbULNlN0GfpGvetYvq9Ruo2bAB886dKKv1uNdmCgvDa8AAvPr0watPbzx79jytSbutSQL8NnIuAnylFJb0dMy7dlO7e5f+NSUFTvCDiqbhkZioP4oaNgzvQYMw+rdcbrKiyEzWvhKy9haTvb8Ua13zo/+aQSMq3gPfwAKqS/aRuWsrNkudc/+QqdMZfePtp3OrQgghhLiAVZeVsvKLT0jduBZ7M3GMwWikQ8++BEQmYa6KISfNir2ZKjwABpNGdEIgHZNC6NAzmOAonxZH4B1mM+bt26nesJHqjRuo3bsPbM0/MWg4gQGPhAQ8eyfh1VsP+j26dm22LPjZIgF+GzknAb7dTurgIS3OGj9K8/DAq3dvvAbWP27q1w9jQMuTVitLajmSUqq/UsuoLGl5SWejyUBEJwfunoepLEwmJ3UfqoV8/sQhI7jysadP7uaEEEII8ZtjrqrkwMa17F+7isP7dtPchD7NYOCed78gP6OO9B2FHNpdhLW25dRjLz83YroGEdMtiJiugQRGeLcc8NfU6FkQ27dRs3Ub5u3bWyzF2VjCypW4RYSf/I2eodYK8NvuI4k4aZrRiGdSEjWbNrlsd+sY5/xE6dWnD549e7Y4MdbhUJTmVpOXXk5eejk5B8panNhylH+oJx17hRCXFELx4Q38+vkHLbYNiY2j+8ixdBsxmqDI6FO/SSGEEEL8Znj5+tFn/CT6jJ9EVWkJqRvWsH/tSnIPNCyuGRmfiF9wAH7BkDAwHLvNQcr6vRzcmkxFSSjlBa59miutHNxawMGt+g7vAHeiEwOJ7BxAZJcAQjv4YjTpc/8M3t74DBuKzzB97R1lt1OXmop55y7Mu3dRu2s3dQcPunzwMEVEtGlw35okwG+nfEaNwuDjo+eE9e6DV1Kv487+ri6vozCrkvyMCvLSy8k/VHHcT70ARncHQWHleHiVMOamGQRFNjzq8g3s3aR9RJdE4gcOIWHIcMLiOp3R/QkhhBDit8k3KJgBk69kwOQrKS/I48DGdaRv20ynfq6D1kaTgaLDWzmwfjYAwTEd8QtNwKFiKC8KwmJ2zcevKbdwcEsBB7foAb/RzUB4nB8RXQKI7OxPWJwffiGeaJqmD6b26IFnjx4E3XA9oFcjrN23Tx/p370bU3BQG/xrnB0S4LdTob+7p9ntSikqS2opOlxFYVYlhYcrKcyqpKaZhaaOZTBW4x9cislUiLkii9LcTKrz9Xy0sTdPQdN8nW1DYuMIiY0jICKS+IFD6NJ/ML7BIa1zc0IIIYQQQEB4JIOuuJpBV1zd7P6s3Tud/11yJJOSI5n6N5pGUGQHvAM74lARVJYGYa1zrbhjtzrITSsnN63cuc3D20RYnB9hHfz0r3F++Id5YTBoGHx88B48GO/Bg8/OzbYhCfDbKaUU5korxTlVlByppiSniuKcakpyq084Mn+Um3suXj4lKEcB1aVZ1JQWU9PC+hBZu3e6pNpomsZtr70jZS2FEEIIcU4opYgfNASTuxu5B1JwNC4FrhSluVmU5mY5N428fibeQX3Jz9DTk5tLTa6rsZG9v5Ts/aXObUY3A8FRPvorWn+FxPjiG+TR7sponiwJ8NshpRRfPLP+uJNgG9raUI5STO4eRHTuQFgHPyK7BBDRxZ+Fb7/AkeS9xz0+ODqWDr36ENaxc5N9EtwLIYQQ4lzRNI3h18xg+DUzsNSaOZK8l8w9Ozm8ZxeFmRnO9XaOShzah5CYWBgXC0B1WS3/fXImbh7BaMYw6sz+2G1BaMZgNM3NeZzd6tCzIrJc6+i7eRq5+aXhePuff4tzSoDfDmmahpefmzPAV0qBMqMcZSh7GQZjOSZTOXZbEZaqIpRy0HPC5Yy/a5pLPxGdE1wCfJOHB1EJ3Yju2oPobt2JSuyOl69fm96bEEIIIcSpcvf0onP/QXTuPwgAS62ZvIOp5KQkk5OaTGleDsFRMS7H1NUUUVNWCBQCKY32aHj4BGNyD8VuD8Rm88dgCEQzxbqM2GvolXrOR60W4GuaFgu8BEwCQoBc4EfgRaVU6fGOPaafYOA5YBoQBRQDPwPPKaWyz+a525PgaB8KDu3AYdmEzVKKw+Y6ml93TPviI1kcq3PfAdhtNsI7dSGiczxhHTtjMDa/QIQQQgghxPnC3dOLuKS+xCX1BfTB0GPTaQoy0lo4WlFXXUxddbFzi4ePH2NnvEZJTrWeHp1T7VJ85HzTKgG+ptkknSIAAAs9SURBVGnxwDogHJgL7AeGAI8AkzRNG6mUKj5OF0f7CanvpyuwHPgW6A7cAUzRNG24Uir9bJy7vRl9fVdiEor46a25J2zrHxaBX0hok+2d+g1sMiNdCCGEEOJC01wg3m34aCLju5KfcZCirEMUZx+mKDuLsrycJmv7BMfE0PuiWOf3SqkWFwA9H7TWCP576AH2w0qpt49u1DTtdeAPwCvAfSfRz1/Rg/s3lFKPNurnYeDf9eeZdJbO3a64e5oIimqY9Orm6UVQZDSBkVEERUUTFBWjV7qJ6YCbp+c5vFIhhBBCiPZHMxgIjIwiMDKKbsNHO7fbrFZKc49QfDiTkpxsSnNzCDomvUfTNNw9z99M9jNeyVbTtC5AGnAIiFeNZjxomuaHni6jAeFKqRaXDNM0zQc9ScoBRCmlKhvtM9Sfo1P9OdJb89wnuL82X8n2KKuljvz0gwRFRuMdEHjePiYSQgghhBAn1lor2bZGmZSL678uUcdMZ64P0tcC3sCwE/QzHPAC1jYO7uv7cQBL6r8ddxbO3S65uXsQ270XPoFBEtwLIYQQQoiT0hoBfrf6r6kt7D9Q/7XrWeintc6Npmlbm3uhzwEQQgghhBDivNAaAX5A/dfyFvYf3R54FvpprXMLIYQQQghxQWiL2QNHc0vOLNn/9Po56WNaynWqH8UfcArnFEIIIYQQ4pxpjRH8o6PkAS3s9z+mXWv201rnFkIIIYQQ4oLQGgH+0aXBWspzT6z/2lKe/Jn001rnFkIIIYQQ4oLQGgH+ivqvE+rLWTrVl6ocCZiBDSfoZ0N9u5H1xzXuxwBMOOZ8rXluIYQQQgghLghnHOArpdLQS1h2Ah44ZveLgA/w38Z16DVN665pmkt1GqVUFfBFffsXjunnwfr+FzdeyfZ0zi2EEEIIIcSFrLUm2d4PrAPe0jRtPJAMDEWvWZ8KPHNM++T6r8cWd38auAh4VNO0fsAmoAcwFSigaRB/OucWQgghhBDigtUaKTpHR9IHAf9BD64fA+KBt4DhSqnik+ynGH3Bq7eAhPp+hgKfAQPrz3NWzi2EEEIIIcSFoNXKZCqlDgN3nGTbFpdlVUqVAI/Uv1r93EIIIYQQQlzIWmUEXwgh/r+9uw/Zq67jOP7+5FM+pObMRikuTZ0gKGUpGrgpahaVhCKE2iQLy9AiyRDCGQRGUamkBaVmaiWJSi0fQp0PSQbqinCaD80U58xNNHU5rW9/nHPDur3v3K27r3Nd53q/YBzOubbr/m6/net8rt/5/X5HkiQNBwO+JEmS1CMGfEmSJKlHDPiSJElSjxjwJUmSpB4x4EuSJEk9kqrquoahlmT1lltuucPee+/ddSmSJEnqseXLl7N27do1VTXnzbyPAf91JPkbsC2wooMfP7/dPtDBz9bUbJPhZLsMH9tkONkuw8c2GT5dtsk84Pmqes+beRMD/hBLcg9AVb2/61rUsE2Gk+0yfGyT4WS7DB/bZPj0oU0cgy9JkiT1iAFfkiRJ6hEDviRJktQjBnxJkiSpRwz4kiRJUo+4io4kSZLUI/bgS5IkST1iwJckSZJ6xIAvSZIk9YgBX5IkSeoRA74kSZLUIwZ8SZIkqUcM+JIkSVKPGPBHRJJdklyY5O4kTyV5OcmTSe5IclKSzbqucRwl2SPJmUluSfJ4knVJViW5LsnCrusbR0k2S3J6kkuSLGvbpJKc3HVt4yDJzkkubj+fXk6yIsn3k7y969rGUZJjklzQXiueb8+Fy7uua5wlmZPk5CTXJHk4ydokzyW5M8lnkpjNOpLkW0lubq/na5OsSXJfkrOTzOm6vpnwQVcjIskC4DrgbuBRYA0wBzgK2AVYChxeVa92VOJYSvIL4DjgfuBOmnbZC/g4sAlwelWd312F4yfJ9sCz7e4qYB3NOfLZqvpxZ4WNgSS7A3cBO9F8Xj0AfBBYCDwIHFxVq7urcPwkWQbsC7wAPAHMB66oquM7LWyMJTkFuAhYCdwK/B14J/BJYDvgauDYMqANXJJ1wL001/Snga2BA4H9gSeBA6vq8e4q3HAG/BGRZHPg1ar6z6TjmwE3AQuA46rqqg7KG1tJFgF/qqr7Jh0/BPgdUMC8qlrZQXljqT1XDgOWVdXKJIuBszHgz7okNwJHAKdV1QXrHf8u8GXgR1V1Slf1jaP2TuITwMPAITSB0oDfoSSH0gTHJetf05PMBf5I0yFxTFVd3VGJYyvJW6vqX1Mc/yZwFnBRVX1h8JXNnLeBRkRVrZsc7tvjrwDXtrt7DLYqVdWlk8N9e/w2mrsqmwMHDbqucdaeK9f7pWqwkuxGE+5XAD+Y9PLZwIvACUm2HnBpY62qbq2qh+wNHh5VdUtV/XryNb2qngJ+2O4uGHhhYqpw35roPB2ZnGXAH3FJNgE+0u7+ucta9BqvtFuHTWkcHNpub5oiuPwT+D2wFc3tbklT87oxnD7WbkcmZ23adQGamSQ7Al8EArwDOBx4L3Al8JsOS9N6kuxKM0zkJeD2jsuRBmGvdvvXaV5/iKaHf0/g5oFUJI2QJJsCJ7a7N3RZy7hLcgawDc2ciP2BD9GE+3O7rGsmDPijZ0ea290TCvgOcJa3YIdDki2AK4AtgK9W1bOv80ekPtiu3T43zesTx7cfQC3SKDoX2Af4bVXd2HUxY+4MmonPE24AFlXVPzqqZ8YcojNA7XJxNYNfr1nKrKoeqKrQfDnblWbi2ueA25PsMOC/Ui9sjHZZ7702AX4GHAz8kubLl2ZoY7aJhkbarR0R0iRJTgO+QrPy1AkdlzP2qmpum7Xm0qxutBtwX5L3dVvZhrMHf7AeAaabwDGVJ6d7oar+TbO01nlJVgE/B75BM3xHM7NR2qUN95cDx9JMyDneuypv2EY7VzQwEz30203z+raTfp8kIMmpwHk0SzMeVlVrOi5JrapaBVyT5F6a4YeX0dxlGXoG/AGqqsNm6a2vb7cLZun9e21jtEs7dvJKmnB/JXBi+yVMb8AsniuaPQ+22z2neX1i9YnpxuhLYyfJl4DvAX+hCfdPd1ySplBVjyW5H9gvyY5V9UzXNb0eh+j0w7vbrbPuO9Cuu/4rmnB/GXCC4V5j6NZ2e8TkJ3EmeRvNsLW1wB8GXZg0jJKcSRPulwELDfdD713tdiSu7wb8EZHkgCRbTXF8G5pbewBLBluV2gm11wCfAH4CnDTV8wqkvquqR2geujcPOHXSy+fQPNjnsqp6ccClSUMnyddpJtXeQ9NzP/Q9wn2XZH77sLHJx9/SPuhqJ+CuUVk4wyfZjogk19IMwbmNZuz9SzRPuzuKZlWKu4Ajq+qFrmocR0kuARYBzwAXMvUEwqVVtXSAZY29JF8D5re7+wH70pwjD7XH7vSpthtfkt1p/p13Aq4DlgMHAAtphuYcVFWru6tw/CQ5Gji63Z0LHAk8CtzRHnumqs7oorZxleTTwKU0PcEXMPW8lBVVdekAyxp77XCpb9Msbf0IsJpmJZ1DaCbZPkXzZez+zoqcAQP+iEjyUeBTwAdo/sNtBTxLsy7rVcDFVeUQnQFLspTm5P9/zqmqxbNfjSZsQLv8tKoWDaaa8ZJkF5oJ/x8G5gAraZ62fY6TBwcvyWL+d2nlyR6rqnmDqUawQW0CcFtVLZj9ajQhyT7A52mGE+5M03n6Ik3nxBLg/FH6DDPgS5IkST3iGHxJkiSpRwz4kiRJUo8Y8CVJkqQeMeBLkiRJPWLAlyRJknrEgC9JkiT1iAFfkiRJ6hEDviRJktQjBnxJkiSpRwz4kiRJUo8Y8CVJkqQeMeBLkiRJPWLAlyRJknrEgC9JkiT1iAFfkiRJ6hEDviRJktQjBnxJkiSpR/4LC27G7waUbzIAAAAASUVORK5CYII=\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x114f81518>" | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 250, | |
"width": 380 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "## two-sample" | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "true_mean1 = 10\ntrue_mean2 = 10.2\ntrue_sd1 = 1\ntrue_sd2 = 2\n\nn1 = 1000\nn2 = 1100\n\nsample1 = true_sd1*np.random.randn(n1) + true_mean1\nsample2 = true_sd2*np.random.randn(n2) + true_mean2\n\nsns.distplot(sample1, label='sample1')\nsns.distplot(sample2, label='sample2')\nplt.legend()", | |
"execution_count": 257, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "<matplotlib.legend.Legend at 0x11498ec50>" | |
}, | |
"execution_count": 257, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": "<matplotlib.figure.Figure at 0x1149a4048>" | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 250, | |
"width": 380 | |
} | |
}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "raw", | |
"source": "def sem(sample):\n n = sample.shape[0]\n return sample.std(ddof=1) / np.sqrt(n)\ndef cal_t(sample1, sample2):\n sem1 = sem(sample1)\n sem2 = sem(sample2)\n sedm = np.sqrt(sem1**2 + sem2**2)\n t = (sample1.mean() - sample2.mean()) / sedm\n return t" | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "### equal var" | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "def cal_t(sample1, sample2):\n v1 = sample1.var(ddof=1)\n v2 = sample2.var(ddof=1)\n n1, n2 = sample1.shape[0], sample2.shape[0]\n df = n1 + n2 - 2.\n sedm = np.sqrt(((n1 - 1) * v1 + (n2 - 1) * v2) / df * (1.0 / n1 + 1.0 / n2))\n t = (sample1.mean() - sample2.mean()) / sedm\n return t\n\nt = cal_t(sample1, sample2)\n\nt", | |
"execution_count": 258, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "-3.6203026604466575" | |
}, | |
"execution_count": 258, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "n1, n2 = sample1.shape[0], sample2.shape[0]\n2*(1-scipy.stats.t.cdf(abs(t) , df=n1+n2-2))", | |
"execution_count": 259, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "0.00030123334862186546" | |
}, | |
"execution_count": 259, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "stat, p = scipy.stats.ttest_ind(sample1, sample2)\nstat, p", | |
"execution_count": 260, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "(-3.6203026604466575, 0.00030123334862193073)" | |
}, | |
"execution_count": 260, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "#### confidence interval for equal var" | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "sample1.mean()-sample2.mean()", | |
"execution_count": 278, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "-0.25415996897407389" | |
}, | |
"execution_count": 278, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "confidence=0.95\n(1-confidence)/2", | |
"execution_count": 279, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "0.025000000000000022" | |
}, | |
"execution_count": 279, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "t_critial = scipy.stats.t.ppf(1-(1-confidence)/2, df=n-1)\nt_critial", | |
"execution_count": 280, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "2.045229642132703" | |
}, | |
"execution_count": 280, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "v1 = sample1.var(ddof=1)\nv2 = sample2.var(ddof=1)\nn1, n2 = sample1.shape[0], sample2.shape[0]\ndf = n1 + n2 - 2.\nsedm = np.sqrt(((n1 - 1) * v1 + (n2 - 1) * v2) / df * (1.0 / n1 + 1.0 / n2))\nh = t_critial * sedm\nh", | |
"execution_count": 281, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "0.14358343794526046" | |
}, | |
"execution_count": 281, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "sample1.mean()-sample2.mean()", | |
"execution_count": 282, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "-0.25415996897407389" | |
}, | |
"execution_count": 282, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "(sample1.mean()-sample2.mean()-h, sample1.mean()-sample2.mean()+h)", | |
"execution_count": 283, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "(-0.39774340691933435, -0.11057653102881343)" | |
}, | |
"execution_count": 283, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "### unequal var" | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "def cal_t(sample1, sample2):\n v1 = sample1.var(ddof=1)\n v2 = sample2.var(ddof=1)\n n1, n2 = sample1.shape[0], sample2.shape[0]\n vn1 = v1 / n1\n vn2 = v2 / n2 \n df = (vn1 + vn2)**2 / (vn1**2 / (n1 - 1) + vn2**2 / (n2 - 1))\n sedm = np.sqrt(vn1+vn2)\n t = (sample1.mean() - sample2.mean()) / sedm\n return t\n\nt = cal_t(sample1, sample2)\n\nt", | |
"execution_count": 266, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "-3.7259665428025501" | |
}, | |
"execution_count": 266, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "n1, n2 = sample1.shape[0], sample2.shape[0]\nv1 = sample1.var(ddof=1)\nv2 = sample2.var(ddof=1)\nvn1 = v1 / n1\nvn2 = v2 / n2 \nn1, n2 = sample1.shape[0], sample2.shape[0]\ndf = (vn1 + vn2)**2 / (vn1**2 / (n1 - 1) + vn2**2 / (n2 - 1))\n\n\n2*(1-scipy.stats.t.cdf(abs(t) , df=df))", | |
"execution_count": 267, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "0.00020114700313977885" | |
}, | |
"execution_count": 267, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "stat, p = scipy.stats.ttest_ind(sample1, sample2, equal_var=False)\nstat, p", | |
"execution_count": 268, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "(-3.7259665428025501, 0.00020114700313990299)" | |
}, | |
"execution_count": 268, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "#### confidence interval for unequal var" | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "confidence=0.95\n(1-confidence)/2", | |
"execution_count": 270, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "0.025000000000000022" | |
}, | |
"execution_count": 270, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "t_critial = scipy.stats.t.ppf(1-(1-confidence)/2, df=n-1)\nt_critial", | |
"execution_count": 271, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "2.045229642132703" | |
}, | |
"execution_count": 271, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "v1 = sample1.var(ddof=1)\nv2 = sample2.var(ddof=1)\nn1, n2 = sample1.shape[0], sample2.shape[0]\nvn1 = v1 / n1\nvn2 = v2 / n2 \ndf = (vn1 + vn2)**2 / (vn1**2 / (n1 - 1) + vn2**2 / (n2 - 1))\nsedm = np.sqrt(vn1+vn2)\nsedm", | |
"execution_count": 272, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "0.068213164572031582" | |
}, | |
"execution_count": 272, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "h = t_critial * sedm\nh", | |
"execution_count": 273, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "0.13951158616639533" | |
}, | |
"execution_count": 273, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "sample1.mean()-sample2.mean()", | |
"execution_count": 276, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "-0.25415996897407389" | |
}, | |
"execution_count": 276, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "(sample1.mean()-sample2.mean()-h, sample1.mean()-sample2.mean()+h)", | |
"execution_count": 277, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "(-0.39367155514046925, -0.11464838280767856)" | |
}, | |
"execution_count": 277, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "", | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "", | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "", | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": false | |
}, | |
"cell_type": "code", | |
"source": "", | |
"execution_count": null, | |
"outputs": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"name": "conda-env-anaconda3-py", | |
"display_name": "Python [conda env:anaconda3]", | |
"language": "python" | |
}, | |
"language_info": { | |
"name": "python", | |
"version": "3.6.4", | |
"mimetype": "text/x-python", | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"pygments_lexer": "ipython3", | |
"nbconvert_exporter": "python", | |
"file_extension": ".py" | |
}, | |
"toc": { | |
"nav_menu": {}, | |
"number_sections": true, | |
"sideBar": true, | |
"skip_h1_title": false, | |
"base_numbering": 1, | |
"title_cell": "Table of Contents", | |
"title_sidebar": "Contents", | |
"toc_cell": false, | |
"toc_position": {}, | |
"toc_section_display": true, | |
"toc_window_display": true | |
}, | |
"gist": { | |
"id": "", | |
"data": { | |
"description": "git/yang-zhang.github.io/ds_math/t-tests.ipynb", | |
"public": true | |
} | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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