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<!--
%\VignetteEngine{knitr::knitr}
%\VignetteIndexEntry{Simple Evaluation of FOCUS Example Dataset D}
-->
<h1>Example evaluation of FOCUS Example Dataset D</h1>
<p>This is just a very simple vignette showing how to fit a degradation model for a parent
compound with one transformation product using <code>mkin</code>. After loading the
library we look a the data. We have observed concentrations in the column named
<code>value</code> at the times specified in column <code>time</code> for the two observed variables
named <code>parent</code> and <code>m1</code>.</p>
<pre><code class="r">library("mkin")
</code></pre>
<pre><code>## Loading required package: minpack.lm
## Loading required package: rootSolve
</code></pre>
<pre><code class="r">print(FOCUS_2006_D)
</code></pre>
<pre><code>## name time value
## 1 parent 0 99.46
## 2 parent 0 102.04
## 3 parent 1 93.50
## 4 parent 1 92.50
## 5 parent 3 63.23
## 6 parent 3 68.99
## 7 parent 7 52.32
## 8 parent 7 55.13
## 9 parent 14 27.27
## 10 parent 14 26.64
## 11 parent 21 11.50
## 12 parent 21 11.64
## 13 parent 35 2.85
## 14 parent 35 2.91
## 15 parent 50 0.69
## 16 parent 50 0.63
## 17 parent 75 0.05
## 18 parent 75 0.06
## 19 parent 100 NA
## 20 parent 100 NA
## 21 parent 120 NA
## 22 parent 120 NA
## 23 m1 0 0.00
## 24 m1 0 0.00
## 25 m1 1 4.84
## 26 m1 1 5.64
## 27 m1 3 12.91
## 28 m1 3 12.96
## 29 m1 7 22.97
## 30 m1 7 24.47
## 31 m1 14 41.69
## 32 m1 14 33.21
## 33 m1 21 44.37
## 34 m1 21 46.44
## 35 m1 35 41.22
## 36 m1 35 37.95
## 37 m1 50 41.19
## 38 m1 50 40.01
## 39 m1 75 40.09
## 40 m1 75 33.85
## 41 m1 100 31.04
## 42 m1 100 33.13
## 43 m1 120 25.15
## 44 m1 120 33.31
</code></pre>
<p>Next we specify the degradation model: The parent compound degrades with simple first-order
kinetics (SFO) to one metabolite named m1, which also degrades with SFO kinetics.</p>
<p>The call to mkinmod returns a degradation model. The differential equations represented in
R code can be found in the character vector <code>$diffs</code> of the <code>mkinmod</code> object. If
a compiler (g++) is installed and functional, the differential equation model
will be compiled from auto-generated C code.</p>
<pre><code class="r">SFO_SFO <- mkinmod(parent = mkinsub("SFO", "m1"), m1 = mkinsub("SFO"))
</code></pre>
<pre><code>## Compiling differential equation model from auto-generated C++ code...
</code></pre>
<pre><code class="r">print(SFO_SFO$diffs)
</code></pre>
<pre><code>## parent
## "d_parent = - k_parent_sink * parent - k_parent_m1 * parent"
## m1
## "d_m1 = + k_parent_m1 * parent - k_m1_sink * m1"
</code></pre>
<p>We do the fitting without progress report (<code>quiet = TRUE</code>).</p>
<pre><code class="r">fit <- mkinfit(SFO_SFO, FOCUS_2006_D, quiet = TRUE)
</code></pre>
<p>A plot of the fit including a residual plot for both observed variables is obtained
using the <code>plot</code> method for <code>mkinfit</code> objects.</p>
<pre><code class="r">plot(fit, show_residuals = TRUE)
</code></pre>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfgAAAH4CAIAAAApSmgoAAAACXBIWXMAAAsSAAALEgHS3X78AAAgAElEQVR4nOzdd1hTVx8H8G/CHkFAtoAMFRTFQdEqUhcqVsG9RURFcQ+KyLJVca+2zooDFRytG/e2oG0dVdHiBBmyRWTv5P0jvKgYFAjJTcLv8/R5n+QazvnGV365Offcc1g8Hg+EEEJkF5vpAIQQQkSLCj0hhMg4KvSEECLjqNATQoiMo0JPCCEyjgo9IYTIOCr0hBAi46jQE0KIjKNCTwghMo4KPSGEyDgq9IQQIuOo0BNCiIyjQk8IITKOCj0hhMg4KvSEECLjqNATQoiMo0JPCCEyjgo9IYTIOCr0hBAi46jQE0KIjKNCTwghMo4KPSGEyDgq9IQQIuOo0BNCiIyjQk8IITKOCj0hhMg4KvSEECLjqNATQoiMo0JPCCEyjgo9IYTIOCr0hBAi46jQE0KIjKNCTwghMo4KPSGEyDgq9IQQIuOo0BNCiIyjQk8IITKOCj0hhMg4KvSEECLjqNATQoiMo0JPCCEyjgo9IYTIOCr0hBAi46jQE0KIjKNCTwghMo4KPSGEyDgq9IQQIuOo0BNCiIyjQk8IITKOCj0hhMg4KvSEECLjqNATQoiMo0JPCCEyjgo9IYTIOCr0hBAi46jQE0KIjKNCTwghMk6e6QB18/bt2+vXrzOdghBCGhibzXZ1dVVQUBBF41JW6K9du3bq1KkePXowHYQQQhrS/v37O3ToYGlpKYrGpazQA3BwcJg2bRrTKQghpCHduXNHdI2LaYw+JyfHx8fHysqKw+GoqalZWVn5+vrm5uaKp3dCCGnMxFTo3dzcUlNTQ0JCoqOjnzx5snv37uzsbHd3d/H0TgghjZmYhm4iIyPT0tKUlJT4T83NzR0cHExMTETXY2FhYXh4eEJCQocOHYYNG8Zm0/wiQkgjJaby16lTJ39//5cvXxYXFxcXF8fGxi5ZssTa2lpE3eXk5PTv35/FYg0YMOD58+ejR4/m8Xgi6osQQiScmAr9wYMH09PT7ezsVFRUVFRUOnbs+Pr16/DwcBF1t23btvnz50+dOtXBwSEgIKBFixZXr14VUV+EECLhxDR0o6+vHxYWxuPx8vPzAairq7NYLNF19/z583HjxlU9tbe3f/r0qZOTk+h6JIQQiSXWkWsWi8XhcDgcjkirPAArK6t///236um9e/dEN0xECCESTkxn9Dk5OcHBwadPn05JSeFyucbGxkOGDAkICNDQ0BBFdzNmzOjZs+fKlSu5XK68vLy2tvaKFStE0REhpDbev39/7949plOInJ2dnZaWFtMpBBBToXdzc9PQ0AgJCeHPtElOTt6/f7+7u/uJEydq+pGCgoL09PRqB1NTUysqKr7aXUpKSpMmTfr27Zubm6upqXnu3Ln8/HwOhyPkuyCE1M+xY8dOnjxpY2PDdBARiomJcXFx8fT0ZDqIAJI7vTIyMvLzj4G///7bwMBg4cKFX+5u//79q1ev7tq16+3bt7t168bhcC5evDhixAhh3gIhpN54PN7o0aMnTJjAdBAROnjwIP8apAQSU6HnT6/08vKqOqMPDQ398ri5s7Ozs7NztYMLFixITU39aneZmZn6+voAFi9e/Oeff+rr62dmZgoRnxBCpJhsTq/s3r37sWPHAGhpab179+748eMODg4i6osQQiScbE6vdHd3nzp16rhx4/Ly8gYMGDB69GhbW1vRdUcIIZJMrKtX8qdXiqEjNpu9Z8+e2NjYsLAwFov11TF9QgiRYbK8AoylpeXEiRNjY2OZDkIIIUwS0xl9WlqawOMGBgYi7dfMzCwhIUGkXRBCiIQTU6Hv27fvkydPPj8u6rXGWCyWvLx8cXGxsrKySDsihBCJJaahm4cPH3bu3DkiIoL3KTF03bZt25iYGDF0RAghkklMhV5OTm7s2LFqamri6e5jurq6np6ePXv2dHZ2pjUsCSGNkPhm3cyfP19sfVV5+/bt0aNHbW1tt2zZUl5ePmHCBC0trU6dOok/CSHkq168eHHy5Ekej+fq6tq6dWum43wJi8WSol0uZHnWDYBLly5169bt1KlTEyZMGDhwYLt27Q4dOsR0KEKIAOfOnZs9e7aNjU379u1/+OGH48ePM51Idsh4oY+Pj4+MjGzbtu2JEyciIyNfvXpF4/WESKY1a9acOHFi4MCBzs7Ox44d27hxozCtsVgsf3//Hj16ODg4PH36lH/wwIEDrVq10tDQMDQ0rGqfxWJt2rSJf0/lb7/9ZmlpqaenN2DAgMePH1e9ICQkZMyYMWZmZmvWrAEwfPhwAB06dCgvLxcmpNiI9YYp8ePxeAoKCi1btoyLi2vRooW2tnZiYiLToQhpvHJzcwcMGFBSUlLtOI/He/nyZY8ePaqOvHr1qlOnTp/v9qysrHzixAldXd2v9mVsbHzz5s1du3ZNmTLl9u3bpaWlAQEBM2bM8PHxefjwYffu3atupVRRUYmOjo6Kitq0adO1a9cMDQ0PHjw4bty4qlqvrKx8+PDhp0+fdujQwdfX99ixYywW6+HDh/X/ixAvGS/0zZo169ix4/Xr1zMyMsrLy42NjVu1asV0KEIaLw0NjVu3bgn8o+++++7SpUv8mdBlZWU9e/as6ZW15OLiAmDkyJHTpk0rKSlRUlKKj49/+vTp0aNHb968+fGHjZubG4DIyMjnz5+bmZnxD7LZ7KqZ2fxT+NatW5eWlgoTiSkyPnTj5OQUFxe3fv36Zs2aHThwoKSkZNiwYUyHIoQIMH/+/JEjR0ZGRt66dWv06NEzZ84UskF1dXUApaWlPB6Py+UCGDx4sK+vb1lZ2Zw5cz5+JX9CoKam5syZM/kzvysqKrKysqruv1FVVRUyDLNk/Ize2Nh4yZIlS5Ysefr0aUxMzLRp03r27Ml0KEKIAMOGDWvRosUff/zB4/ECAwOFnx23devWxYsX//zzz126dFFRUSksLDxz5syzZ88sLCwOHjwIoLS0VFFRser1zs7Oy5cvnzt3rrm5eXBw8N9//33p0qUvtF/txyWZjBd6AD179vzzzz8dHR0jIyOZzkII+RJbW9sGXGg2Pz/fwMDAwsIiNDQUgKqqalBQkIODg7a29oQJE4YMGeLh4fHxYunm5uabN292dXXNzMy0t7ffvXv3FxofOHBgixYt4uLi5OWloIpKQcQGoaenl5GRoaenx3QQQoiYrF69evXq1R8fWbZs2bJly6q97OPp8MOHD+cPx9f0gqrHZ86cacisIibjY/RVOnTo8OjRI6ZTEEIIAxpRoX/w4AHTKQghhAGNpdB37NiRCj0hjYcUrU8gBo2l0BsbGycnJzOdghBCGNBYCj0AbW3tjIwMplMQQr7o1i1cu8Z0CFnTiAp9586d7927x3QKQkjNysvh64uAABQXi7qriooKW1vbmja/kzGNq9DfuXOH6RSEkJpt3YpRozB1KoRb0eyrfvnlFwcHh6qlbGReY5lHD8De3v7nn39mOgUhpAbv3uHoUVy7Bjk5ODlh0iQYGdW7MRaLtWDBgitXrjg4OCgpKSUlJd25c8fDw4M/j97W1tbS0pK/GE5j0IgKfZMmTd6/f8/j8VgsFtNZCGmsCguxbRsqKgT80cmTaNOm8ly+dWu4umLkSAEvk5eHpyc0NL7alaurq7e3t7Gx8ZkzZwYOHMhfe5Jf6Hv16iXc25AyjajQA2jRokVsbGyLFi2YDkJIY6WgAEtLfL6Me1ISuFw4O1c+tbDAo0coLYW1dfVXyslBSak2XTk6OsrJyQEYMGAApHntSeE1rkLPH6anQk8IYxQUMHSogONOThg8+JMjw4bh998RFFTvrvhVHsDni9o3No3r/dP1WEIk1KRJ0NFBdvaH/9TV4eUFuu+pIYjpjD4nJyc4OPj06dMpKSlcLtfY2HjIkCEBAQEatRhoa0Dt27f39fUVZ4+EkFqZMIHpBLJMTIXezc1NQ0MjJCTExMQEQHJy8v79+93d3U+cOCGeAHwKCgo8Hk+KVpEmhNRP1RIIAteeFPhUhomp0EdGRqalpSn9/xKKubm5g4MDv+iLma2tbXR09DfffCP+rgkhhBFiGqPv1KmTv7//y5cvi4uLi4uLY2NjlyxZYv359XTRo2F6QkhjI6ZCf/DgwfT0dDs7OxUVFRUVlY4dO75+/frjvV3Ehgo9IaSxEdPQjb6+flhYGI/Hy8/PB6Curv7Vu5aioqI+38MlKipKR0dHmCSWlpZxcXHCtEAIIdJFrPPoWSwWh8Op5YstLS2dnJyqHXz58mWDZHj//r2mpqaQTRFCiFQQ38XYCRMmaGpqHjlyZN68ebdv3+7YseOuXbtatWpV048YGhoaGhpWO3j27NnU1FQhw9jb29+7d+/zTxFCCJFJYhqjnzt37uLFi8eNG2dra2tmZhYZGWlvb+/p6Sme3quhYXpCSKMipjP6ly9fTp06NS8vb/HixUuXLjUwMGjZsuXnJ+zi0bVr1+3btzPSNSGEiJ+YCn3z5s1Pnjz5/v17AH/++eeoUaNu3bplamoqnt6r0dLSysnJqaioqFoKgxAiagUFBdnZ2UynEKGCggKmI9RITIV+06ZNY8aM0dTUvHbt2tixY3/55Zdnz57t3btXPL1/ztbW9vHjxx06dGAqACGNirW19dKlS48ePcp0ENEKEmIJNpESU6Hv16/f27dvWSwWi8WKiYn5559/bGxsmDqjB+Do6BgZGUmFnhDx6N69++XLl5lO0XiJb/VKNpvNnzuvra09YMAABqs8gB49ekRGRjIYgBBCxKZxLVNcxcDAICUlhekUhBAiDo200ANo1aqV8LdfEUKI5Gu8hZ4/TM90CkIIETkq9IQQIuMab6Fv0aLFq1evmE5BCCEi13gLPQAjI6M3b94wnYIQQkSrURd6R0fHqKgoplMQQohoNfZCT8P0hBCZ13gLPZfLtbGx+e+//5gOQgghoiXWjUckxPv37+fNm5eYmMhiseLi4uLi4iwsLJgORQghotIYz+jnzJkzfvz469evX7t2rW/fvlOnTmU6ESGEiFCjK/QVFRWpqan9+vXjP50+ffqrV68qKiqYTUUIIaLT6Ao9j8f7eF9yOzu7vLw8Ho/HYCRCCBGpRlfo5eXlmzZtWjXZJioqisPhpKWlMZuKEEJEpzFejN2yZcuMGTOCg4MBaGpqzp8//+rVq+7u7kznIoQQkWiMhV5HR+ePP/4oLS0FoKioGB8fHxgYSIWeECKrGmOh51NUVOQ/MDMzi4uLqzZ2TwghMqPRjdELZGtrGx0dzXQKQggRCSr0ANC3b1/a0JIQIqs+KfSsmjGVT0Ti4+O3bt26bdu2hIQEAH369Ll+/TrToQghRCQ+KfS8/9u4caOHh0daWlp6erqnp+fevXuZyicKFy5c8PT01NPT09XVnTJlyqVLlzQ1NQsLC4uKipiORgghDU/wxdhff/01JiZGRUUFwM8//9yuXbtJkyaJNZcorVy58ty5c+rq6gAGDBjw/fff9+vXr3v37rdu3XJycmI6HSGENDDBY/S5ubklJSX8x8XFxbm5uUJ2k5OT4+PjY2VlxeFw1NTUrKysfH19hW+2HkpKSlRVVflVHoC6urqqqmpJSQkN0xNCZJXgQt+/f/+JEyc+evTo0aNH7u7uAwYMELIbNze31NTUkJCQ6OjoJ0+e7N69Ozs7m5Gp60pKSvn5+WVlZfynZWVl+fn5SkpKXbt2/eeff8SfhxBCRE3w0M3mzZvnzZvXu3dvNps9aNCgjRs3CtlNZGRkWlqakpIS/6m5ubmDg4OJiYmQzdbP1KlT3dzcFi1axOPx1qxZM336dAAKCgoaGhoZGRl6enqMpCKEEBERXOibNm0aFhZWXFysrKzcIN106tTJ39/fy8uLX9yTk5NDQ0Otra0bpPG6mjRpUsuWLcPCwlgs1oIFC7p27co/zh+9GT9+PCOpCCFERAQP3URHR7dr105NTe39+/f9+vVLSkoSspuDBw+mp6fb2dmpqKioqKh07Njx9evX4eHhQjZbbw4ODhs3btywYUNVlQfg6uoaERHBVCRCCBERwYV+0aJF3t7eXC5XQ0Pj22+/9fT0FLIbfX39sLCwnJyc3Nzc3NzcnJycsLAwfX19IZttWM2bN09OTuavgUMIITJD8NDNv//+GxER4eHhwWazAwMDDQwMGqQzFovF4XB4PF5BQUHVvJeaHDt2bMeOHdUOvnjxokWLFg0SRqCePXvevHmzb9++ouuCEELETPAZvZqaWkpKCv9xbGysrq6ukN1ERUUtWLAAwO3bt5s3b87hcNq2bfvkyZMv/Mjw4cMvf2bYsGHCh/kCFxcXGr0hhMgYwYXe19fX2dkZwKxZs/r06bNq1Sohu5k6dWr37t0BTJ8+fdKkSampqaNHj+ZPd5Eo9vb29+7dow2nCCGyRPDQjZeXV9u2baOiojQ1NX18fMzMzITsJjMzc9CgQQDevHkzc+ZMAwODRYsWbdiwQchmGxyLxWrXrl10dHT79u2ZzkIIIQ1D8Bm9v7+/oaHh4sWLvby8hK/yAAYOHDh16tTo6Ojp06fv3r07Pz9/586dtra2wrfc4FxcXE6fPs10CkIIaTCCC31+fr6Dg4OTk9ORI0eq1kIQxs6dO5s3b+7i4rJmzZrAwEAtLa3z58/v27dP+JYbXJ8+fa5du8Z0CkIIaTCCC/2vv/765s0bb2/v06dPt2rVauHChUJ2o6ysHBwcnJCQUFpampWVVVJScu7cOXNzcyGbFQUVFRUtLa03b95wudwDBw54eHgsXLjw6dOnTOcihJB6qnHjEXl5eTs7u+7du+vr6//+++8N1Z+CgoK2tjabLdEbngwaNOjs2bMzZsxITExcsmTJ6NGjZ82aRSvhEEKklOCCu2vXrr59+1pbW9+9e3f16tX83Tkaj0GDBh07diwzMzMgIMDc3LxLly6HDh0SfuoRIYQwQvCsm9OnT3t6ep4+fZq/JH1jo6en9+7du48n3ujr6+fk5DAYiRBC6k3wGX1CQsKoUaMaZ5XnGzx48Pnz56sm1D9+/JiptTYJIURIgs/oJ02a9Ntvv7m5uamqqoo5kISYNGnS8ePH+/TpY2BgwOPxYmNjjx49ynQoQgipD8Fn9AsXLvTy8lJTU5PVzcG/ysTEJC8vT1VVVVtbu2nTpiwWq0GmmRJCiPgJPqOnNQCysrLk5eVHjx7t5uYG4MWLF0uWLDl06BDTuQghpM6+NM2xuLhYbDkkzYsXL/r37181XNOqVau0tDRmIxFCSP2IaeMRqWNpaRkXF1dSUpKVlQUgKSmpadOmTIcihJD6ENPGI1JHT0+vVatWPB7v119/vXTp0rhx44KCgpgORQgh9SG40P/777/8rVP5G4/cuXNHvKkkwoYNG9zd3ffv3//XX3+Fh4fTepaEECklpo1HpNS4ceNsbGw8PT1NTU2ZzkIIIfUkpo1HpNfIkSOPHz/OdApCCKk/MW08Ir2GDh06fPjw2bNnM5wjLg4WFgxnIIRIJ8GFHoC9vT1/87+ioiIx5pE4GhoaTZo0ef36NZOLKqekoFMnHD+O3r0Zy0AIkVqCh26WL1/evXv3iooKR0dHNTW1NWvWiDmWRHF3dw8NDWUygZ8fdu1CUBDKy5mMQQiRToIL/aZNm8LCwi5evKitrR0TEyOBm7uK04ABAy5cuFBRUcFM9/fvo6ICI0Zg6FCEhDCTgRAizQQXegUFhZKSkj179kycOFFVVZWxGicZ5OXle/fufeXKFQb65vHg54cVK3D6NGbPxv79yMpiIAYhRJoJLvR+fn4dOnRISEgYPHhw586dFyxYIOZYksbT03PPnj0MdHzgABwckJ2NqVNx6BD8/REczEAMQog0E3wxdv78+dOnT1dWVmaxWPHx8crKymKOJWksLCzevXuXmZkp1lsKCguxYwcuX8bQobhyBdOm4dIl7NyJJ0/Qtq34YhBCpFyNi5qpqKgUFRWVlJRQledzc3MLDw8Xa5d//w0WC1274uVLeHujsBDt2yMnBzdvijUGIUTK1bio2TfffKOmpqaqqtq7d+/Y2Fgxx5JAI0eOPHbsmFi77N0bV69CVRWPHuHyZURHo2VL7N6NWbPEGoMQIuUEF3oPD48BAwZkZWWlp6d36dLFw8NDzLEkkIqKio2NTX2W/UlLw+nT9ex13Tp4eUFDo/Lp2rXw86tnU4SQxkrwGH1CQsKPP/4oLy8PYNmyZUZGRuJNJaGmTJmya9euzp071+3HFi/G3bv49lvo6dXtB5OTcfgwQkNx//6Hg7m5uHoVffrUqoWyMmRnIzsb79/j/Xvk5qKgAMXF4G90npuLqvlUpaUoKAAAVVUoKVUeZLPRpAkAKClBVRVsNs6fx9SpUFWFujo0NKCmBg4HHE7d3ldDKS7G5s3w8WGmd0Kkh+BCP3PmzKVLl/JP5Pfs2TN37lwhu8nJyQkODj59+nRKSgqXyzU2Nh4yZEhAQIBG1bmqNLC3t/f29s7Ly+PUvrTdv4/ycmzZgsBA7NxZt/7S09G9O3bt+uSguTlycz85Ul6O+HjExiIxEQkJSEzEmzfgcgGAzYaODrS0oKUFTU1oaEBZGU2bwswM8vIf6nhNcnIq23n/Hjwe9u1DdDTU1dG8OYqKkJuL3Fzk5SEvD3Jy4O9KxuNBUxNaWtDWrvyvaVPo6qJpUzRtCh2dD58iwtu4EQcOwNYW/fs3WJuEyCLWx7sGfmFvWCE3F3R1ddXQ0Jg2bZqJiQmA5OTk/fv3Z2Zmnjhxok7tLFiwIDU19fDhw8KEEcaePXvy8vLmzZtXq1fzeOjfHyEhaN4cI0Zg8WJ8800DhIiLw4MHePgQT54gKwvy8jA3h6UlTE1hZobmzWFgAAWFBujoY0lJ8PDAsWP4/ntcu/ales3/DvHuXeV/WVnIysLbt8jKQmYmioogJwcWCxoa0NWFgQF0daGnByOjyqfa2rXKk5yMsWMxZQpCQnD9esO/XwlUUoKtW7FwIdM5iEhMnTrVz8/P0tJSFI1/ckYvuq1iIyMj09LSlP5fHczNzR0cHPhFX7qMHz++R48es2fPlpOT+/qr+bPgmzcHgHXrMHUqrlxBPXZaz8vDP//g1i38/TcKCmBhgQ4d4OSEBQtqWxaF98MPWLkSTZpg4kT8/DN8fWt8Jf8LxFeXYHv/HunpyMxEZiZSUvD8OdLTkZqKnByUl0NODk2awNAQhoYwMICREQwM0KwZ9PQgLw8Afn7o1g2LFmHiRGzbhlp+9Eq1TZuwdy9sbeHkxHQUImWqD90UFhauWrXq7NmzL168MDEx6dev37Jly5p8+Qt+LXTq1Mnf39/Ly6vqjD40NNTa2lrIZsVPSUmpX79+Z8+edXV1/cpL8/OxdSuuXat8am6OLl3w++8YPbpWPXG5uH8fFy/ixg3IyeHbb9GtGxYsACODXbduQV0d/IsTnp7o0wcTJ8LQUKg2NTWhqQkrqxpf8P49UlORloaUFLx4gevXkZ6OlBTweMjJQXo6uFyMGoUzZyAvj06d0KYNZHi7x/R0XLiAqCgMG4YePRrFNxjScD4p9IWFhfb29sbGxitWrGjZsmVSUtL27ds7der08OHDOoxKC3Lw4EFvb287O7u8vDwAHA7H1dVV3NPSG8iMGTMmT5789UK/ejU6d8Zff3040rkzfH3h6goVlRp/qqwM167h6FHExOCbb+DsjIULoaraMNHrh8tFYCAOHqx8ymYjOBiBgdi9W7T98j8JWreufpzHQ+/e6NABHTuibVskJiI/H7NmoWVLZGeDywWbXflVwMQERkZo1gwmJiIZzhInX18sWwZdXQwbht9+A+PrZhOp8kmhX7ZsmY2NzZEjR/iD9S1atOjVq9ekSZOWLl26fv16YbrR19cPCwvj8Xj5+fkA1NXVv3A9gO/NmzfPnj2rdjAxMZHLvzzIHENDQx0dnUePHn1lc8G2bZGQ8MmEGQCTJ6O4WHChv30be/bg2TP07o05c2Br25ChhbF3LwBERKCkBOfPY8gQALh5E//+i06dGMgTHo7ycjx8iO+/R1YWRozAsmUAsHRp5Q3DXC7S0pCcjNRUJCbiwQO8eYOUFHC54HKhpQUTEzRrhmbN0Lw5jIxgbNyQl4hF4f59lJbiu+8AYM4c9O6NMWOgo8N0LCI1Pin0586dCw8Pr1aCfXx8xo4d2yCdsVgs/jeDqKgo/mL3X5CcnHy/WpUEMjIyhPxu0SAWLFiwefPmXdXmw1QzZkyt2nr7FgcO4NgxdOyIOXMggTvTdulSOV50+DCeP8fLl+jcGatWQV+fmTxWVsjPh4sLsrMrj3TvjqwsqKlVPmWzYWSEmuYEZ2cjORmJiUhOxtWrSExESgpKS8HlQkOj8jPAxOTDA8bvDOcvbFc1ZUteHkuWYOlSbN7MaCwiTT4p9LGxsS1btqz2CktLywa/M9bR0fGrF367dOnSpUuXagfT0tJSU1MbNkw9dOrU6fXr1+np6frCFLtXr7BhA168gIcHrlxhvqDUpG1btG2L16+xYwcePMCAAVi+nMm0799DXx+DB3840qkT3N0rL9J+Ff9ascDFgvLykJSEpCQkJ+PmzcoHRUXg8QR/BnxhCK4BHToELhd37+Lu3Q8HL17Ef//BxkYcAYj0++R3w8LCIjY21ubTfz2xsbEWQm9ip6CgUP7pphn87w2im+cjal5eXiEhIYGBgfX54Xv3sHYtysvh7Q0Hh4aOJhqLFmH1amhoYNIkbNrE5A26ZWXo0AF//PHJQRcXvHsHIedxcTho0wZt2gj4o/z8yhsUkpPx55+VDwoLKz8DjI3RrBlMTT88aMDPgBYtMGrUh68vfD/8IKaPGSITPin0AwYMCA4OPnjw4MejN2vXrnUSejrXjRs3pkyZsnTp0h49egAwNDSUhBNzYQwdOtTR0dHb21ulTr9vL14gKAgKCli2DFI06ej6dTRpAnt7AJgyBX36wN29xrERUfv+e3z/vbg7VVev8TOgoODDZ0BUVOX1gPz8yp+quh4SAHAAACAASURBVBjAf2Bq+mGIqZY6d0Zdb8Ym5FOfFPoff/zR3t5+4MCB8+bNa9GiRUJCwo4dO+7evfvw4UMhu3FwcLhx48a4ceOSkpK8vb0BGBgYCNkms+Tl5d3d3Xft2jVnzpxa/UBqKn76CSkpWL4cHTqIOF2DqqjAkiX4/ffKp2w2VqxAQEDlRVqipobWrQXMDgJQWFh5MeDNG/z9d+WDvDywWFBRgZFR5UAQ/4Gx8VduVCakvj4p9Gpqanfv3l2xYsWiRYtevXrVvHlzJyenhw8fCj+PHoCBgcHFixd9fHyGDx8ufGuSYMqUKd99952np+dXVnLmcrF9Ow4dwvLl6NVLXOkazp49UFBARMQnB6OicP8+7OwYyiQlVFVhbS34q1txceU1gKQkPHiAs2eRmIicHLDZkJeHkRFMTStnBPE/CcS5EQKROdWvX6mpqa1cuXLlypWi6ExBQeHnn3/+/ffftcV2P6coKSgojB8/fu/evTNmzKjxRQ8eYMECDBggxbfpd+sGTc3qB1euFPaGqUZOWRktW+KzuQ8AUFqKlBS8eYOkJDx/jitXkJyMrCxwuSgvh5nZh5sDDA1hagp9/dpeiCaNFQP/PkaNGjVq1Cjx9ysKnp6ePXv2nDJliqKiYvU/Ky/Hjz/i8WPs3QtzcybSNRAbG5rdIVaKijAzg5lZ9eO3bsHFBdu2obgYKSlISsKdO0hOrrxFAICmZuWMIP5YEP+WMWbvtmvkUlIYu5T1KToREIqSktKoUaP27dvn6en5yR/ExsLTE6NHY8UKHD+OGTNw4QJDGYlM4HIREIBNm7B1K377TfBr3r2r/ABITcXNm0hJQUoKcnMhJwcFhcq6b2gIY+PK7wT6+mDXuMcc89LSMGUKTp2S1u8rUVFwccGzZ4zdcfIR6fwblCQzZszg3z+sUDUyc+AAQkLw229o3RrFxVi3DjY2iIiAiwujSYk0Cw1F375wd8fp07h3T/AyqPx1oQXeIlBSgpQUJCcjORlxcbh5E2lpSE2tXDFCUxPGxjA0rPw2wP8YYPzKsL8/1NWxcydmzmQ4ST1wuQgKqlyfPCSE6TRU6IWmrKw8bNiw8PDwSZMmoawMc+ZASQmXL1feVb9+PaZNw9ChcHZGv36Sfqs9kUx5edi5s3KBvHXr4OlZ52VQlZRgbl7jECL/q8CbN0hLw19/IT0dSUmV2x6wWJULiPLXC2rWrPJ/RT0i9O+/KCpCWBh69MDo0dK3XN2ePejXD+PH48SJGj+YxYgKfQOYOXOmk5PTuP79FT08MGYMJk2q/IPkZFy6hBs3wGZj0iT8+itth0TqIzgYPj6VtdXCAp074+hRjBzZYO1/4asAl4v09MqFg968wdOnSEpCejpycyv3rmnWDIaGld8D+GvJGRkJezMXf9UH/ghVQACWLsWvvwrVoJjl5WHvXly9Cgi3PnnDoULfANTU1Bb06/e2a1ej8PBP7nRdvBgrVlQOg3p6omdPTJhAk1VI3cTF4f59rF794UhAAJycMHCgOC60Vi0FKlBpKdLSKr8KJCfj0SO8eYP0dBQUfJgnyi/9/P/V16/Vt4GDB9GlC4qKYGWF6Gj89hseP0a7dg3+5kRl2TJ4e1cuE2Jujm+/rcP65KJBhb4h3Lgx8urVEbq6O62tP3zD/Ptv8HhwdKx8KieHZcsQFFR9a0BCvuz0aaSlVd6WXKWgALdvM78DiaIiTE1hair4T0tKKr8N8D8GHj/GmzfIyKj8NgBU7iRjbFy5xZiBAQwNoayMrVtx+TLGjIGbG1avxtq1WLAA58+L853VX2wsnjzBunUfjvj5oU8fDBpU55uiGw4VeqGdO4eNG1lnznhERa1YsWLjxo2Vx1etQlIS+vb95MW3b2PZMgmZcUWkw/z5mD+f6RD1oqT0pY+B8vLKnWT4l4UjIys3mXnyBOnpMDVFeTlev0ZSEi5fRmwstm/H4MEfthiTWBcuID+/+i++nBz+/ht9+jCUiQq9kI4dw65dOHkS6uqDBg3avn37y5cvK1cAPXWK6XCESDB5+cr1f6rJyUFaGsaOxfr1KC3FvXs4dgyenoiJQVQUUlIAoLwcamrQ16/8EsD/QqCvD0NDATf3idmsWZg1i+EMn6FCLwT+OvInTlSt2bty5cqgoCAG9y4nROo1aYKQEHh6ondvAHB2xuvX6N27+jlycXHlV4GMjMrNJvlPc3NRVgYFBWhowMAABgaVHwN6epVPmRs/YRAV+vo6cgSnTuGPPz5e2KB9+/aKioq3bt1ykJbFhwmRNBkZOHECN29+OLJqFYYORa9enwzaKCsLvn+4Cn/P4YyMyo3G7t6tfMpfVI7NhpZW5SJC/K8CurqVnwSyeC8xFfp6uXwZe/fi1KnPl69ZsWLFxIkTr1y5Iicnx0g0QqTbb78hIwMDBnxy8NUrXLyIgQPr0E5New5XycxERgbS05Gaitev8ddfSEtDZuaHTwJNzcpxIV3dyu8E/Afq6vV8a8yhQl93d+4gOBgREQLvfjIxMRk4cODWrVvnzp0r/miESL2gIAQFiaMjXV3o6n5pHae3b5GRgcxMpKQgMRH37yMlpfKToKIC8vLgcCq/B/A/A6oe6OpK2toSVOjr6NkzzJ+Pkycrt1EVZP78+U5OTsOGDTM2Nn727Nnu3bvfv3/fp0+f0aNHf3VLdEKIpNDR+coO7Hl5SE1FZiYyM5GWhlevKh+8fQugcnb18uXiCftlVOjrIjMTHh44dAh6el94lby8/Lp16xYuXLhw4cJFixY5ODg0bdr0+vXrUVFRW7ZsEVtYQohocTjgcNCqFdM5vk6yvl9ItPJyTJiAtWu/dP3n/+zt7fX09Ly8vIqKiqytrbt3756fn3/jxo20tDTRByWESIaXL5lOUInO6GvN2xvDh3+40/VrVq5cqaOj888//3Ts2BHAwIEDzc3No6OjpX0PRUJIrVy5guHD8d9/MDZmOgqd0X/VgAE4fhxhYSgpwbRptf85DQ0NNTW19evXf3yQxugJaRQqKrBsGcLC4OfHdBSACv1XRESgWTP89BN278Yvv9T1pzt37nzhwoXZs2cfP3581KhRHA6nffv2oohJCJEs27Zh2DC4uIDHQ1QU02mo0H9BaSlWroSHBwoK0KVLPZaSX7lyZcuWLU+cOPHnn382adKkb9++el+8iksIkQXZ2ThypHIhhDVr4O9fudcjc6jQ1+znnzFhAgYNgoMD/v4biYl1bcDOzi48PNzJyenMmTMuLi4f1jsjhMiwJUsQEFB5N2WzZnBywv79zCaiQl+DjAycOoV//kG7dkhKgrd3/W7isLS03Ldv38iRI9/yp9YSQmTb06eIjf3kzl4fH+zYUbljF0No1k0N/Pzg7o4ffkBiImJisHMnysoQFYXu3evR2NKlS/v27fvdd99VLmxJCJFVN24gI0PA3oH//ouePRnIA4AKvWApKTh8GAcPwtS0csO2x4+hqYl16+pX6BUVFUNCQiZPnnzhwgW1Rrl4HiGNxYwZmDGD6RDViWnoJicnx8fHx8rKisPhqKmpWVlZ+fr65jL6XeZLjIwwZw4sLfH8OS5fxuXLuHcPxsY4ebLeTbZq1WrRokXu7u48Hq8BkxJCyFeJqdC7ubmlpqaGhIRER0c/efJk9+7d2dnZ7u7u4um9zpKTsXMnjh79cMTYGN27IzxcmFZdXFzatGmzadMmYeMRQkhdiGnoJjIyMi0tTen/MxTNzc0dHBxMTEzE03udeXmhRQvMmVP9eGGhkA3/9NNPQ4cObdu2bb9+/YRsihBCaklMhb5Tp07+/v5eXl784p6cnBwaGmptbS2e3uvm4kUYGyMiQhRts9ns0NDQgQMHtmrVyqwWa+YQQojwxDR0c/DgwfT0dDs7OxUVFRUVlY4dO75+/TpcuJEQkSgqwpIlCA4WXQ9aWlq7d+8eP358VlaW6HohhJAqYjqj19fXDwsL4/F4+fn5ANTV1b+66ktERMSBAweqHXz06JFpTZvKN4iVKzF7Npo2FWEXQOvWrTdu3DhixIgzZ87QJBxCiKiJb3olj8crLi7mcDj8p1wuNyMj4wtLOfbv37/7Z3MZAwICRHgi/Pw57tzBsmWiav8jXbp0Wbhw4fjx448ePSovT5NcCSEiJKahm3///dfc3LxJkybjx48vKysDUFhYaGho+IUfUVRU1PqMkpKSCBeAXLwYGzdCXAtMuri4ODs7z+IviEEIISIjpkI/e/bsOXPmJCcnczicRYsWiafTuomM/MoGkiLg5eVlZGS0cOFCcXZKCGlsxFToY2JiZs6cqauru3Xr1hs3bjx//lw8/dbBTz+JaUviT/3444/6+vozZsygG6kIISIipkLftGnTFy9eAJCTk1u7dq2np2dFRYV4uq6VY8fQpQsYmtfv6+trZmZGtZ4QIiJiKvTBwcE9evTw8vIC0Ldv327dunXp0kU8XX9dRQU2bsQPPzAYwdfX19jYeO7cuVTrCSENTkyFfuzYsU+ePJkwYQL/6apVq3bv3h0syunqdbBrF4YPh7Y2sykCAwPNzMwmTJhQUlLCbBJCiIwR38Q+Y2Nj4/9vkstisRwcHBwcHMTWe42KinDgAK5eZToHAHh7ex87duz7778/cuSIjo4O03EIITKiEc/gHjECALp0wZQp9dgmUESGDx9uZGQ0fPjw/fv3N2/enOk4hBBZ0Fh3mHryBFeu4MoVHDiA8eOZTvOJrl27bt++fcyYMVESsKcwIUQGNNZCP3w4AgPRrx/S06GoyHSa6tq0aXPmzJnVq1evWbOG6SyEEKnXKAv9oUMoKsKCBUhOhoIC9u1jOpAATZs2jYiIADB+/PiCggLJmo1KCJEqja/Q83iYMwf79+PQIQwahCNHsHAhuFymYwnAYrF8fX2bN2+ura2tra2tr6+/evVqpkMRQqRP47sYO3curK3RowccHXHmDDQ1YW2N+fPx669MJxPgxYsX27Zt27Vr1x9//GFkZLRp0yZTU9Nx48YxnYsQIk0a3xn9jh14/RqGhvjvP9jZwdIS8fHYvp3pWIJt3rx54MCBbm5up06dat26ddOmTWnUnhBSV43vjP7WLRQUwNsbAQEfbpKS1EXhs7OzmzZtCoDFYs2bN09VVXXBggUrVqzw8fFRlLxryIQQydT4zug7d4acHLp1w/Dh6NWr8r/OnZmOJdjo0aOPHj1aUFAAoKKiYs+ePZ6eniYmJj179rx8+TLT6Qgh0qHxFXoAW7YI2PhbIrm4uPTu3bt58+bt2rUzMjIqLy9fv379xIkTT548GR4ePn78+NevXzOdkRAi6Rrf0E1qKgoKYGXFdI7aCgsLi4uL+/vvv21sbNq3b88/qKenFxoaeu/ePS8vLzMzs+XLl+vp6TGbkxAisRpfod+xA9OmMR2ibiwsLCwsLD4//s0331y8ePHs2bPDhg1zdnaePXu2pqam+OMRQiRcIxu6KSvDpUsYNIjpHA1p4MCBf/75Z/v27YcMGTJv3ry0tDSmExFCJEujKfR796K8HMePw9UVcnJMp2lgbDbbxcXl+vXrvXr1Gjt27Jw5c/jbvBBCCBrL0M3t2wgKQn4+Tp9GWBjTaUSFxWINGTJkyJAhkZGRQUFBhYWFM2fO7N+/P5vdaD7OCSGCNIISwOXC1xdcLnbsgJYW9PWZDiRyjo6OR44c2bZtW2RkZLdu3X788UeanENIY9YICn1oKNhszJqFt28lc00bETExMVm5cmVUVJS9vb2Pj4+zs/OuXbuysrKYzkUIETdZL/R5efj1V7DZmDMHiopISkJ0NNOZxEpeXn7QoEFHjx4NCwvjcrkTJkwYNGjQ3r17MzMzmY5GCBETWS/0wcFQVsbPP+PoUSxYgPJy+PgwnYkZOjo606ZNO3/+/O7du0tKSiZPntynT59Vq1ZFR0fTjuSEyDaZLvSxsTh0CLq6yMzEtm1o3hw9euD1a5w8yXQyJunr63t5eUVERJw+fbpNmzZbt251cHCYMGFCaGhoUlLSl3+2tLRUPCEJIQ1IpmfdFBVBXh4dO+LKFZSU4NUr6OmhogLl5UwnkwhqamqDBw8ePHgwgLi4uCtXrvj6+iYmJpqbm3fv3r1bt25t2rSR+/9U1Llz5+7fv19OTo7FYq1Zs2bKlCmMZieE1IFMF/o3b8Bi4a+/8Po11NVx5QoAqKri1Sumk0kcCwuLadOmTZs2DUB8fHxkZOT27dtjYmLk5eU7dOiQlZV1/vz5V69e6ejo/Pfff927d7e3t7e1tWU6NSGkVmS60Ds7IzYWALp1w/XrUFJiOpB0MDMzMzMzc3NzA1BcXPzw4cORI0e2a9du5MiRPB6vRYsWLVu29PPz27Ztm6mpKYvFYjovIeQrZLrQA3jwAMXFsLOjKl8/ysrK3377bZMmTebPnz9w4MCKioq4uLg5c+akpaUFBATwx/R1dXVbtmzJX5DH3NzcxMREQUGB6eCEkA9kutBv3Yo5czBqFLy9mY4i3YYNG+bn5+fs7CwnJ6ejo3Pv3r3jx49/9913/D/NzMx8+fJlXFzc7du3w8PDExMTy8rK5OTk9PX1mzVrZmxsbGBgYGxsrK+vb2RkpNZAe7wsW7bsl19+4XK5KioqW7ZsGTZsWIM0S4hMkt1CX16OwEDMmYOdO3H4MNNppNuyZcvu3bvXtGnTJk2avH//ftasWVVVHoCurq6urm63bt0+/hEej5eWlpaUlJSampqUlPTff/8lJydnZGTk5eXxeDw2m62hoaGjo6Ojo6Orq6v9f1paWpqampqamhoaGl/IExoaum3btgcPHpiamkZFRQ0cOLBt27atWrUS1fuXAOHh4YsXL87PzzcwMNi/f7+9vT3TiYg0EVOhz8nJCQ4OPn36dEpKCpfLNTY2HjJkSEBAwJd/n4UyeTK6dMF332HfPuzbB3d3UXXUOJw7dy4/Pz82NrZNmza1GZlhsViGhoaGhoY1vSAvLy8jIyMzMzMrK+vdu3eJiYkPHz7Mzs7Ozs5+//59Xl4eADabzePxuFyumpqaurq6lpaWmpqaiorKvn37nJ2dL168qKmpqaioaG9v7+/v7+fnx+Fw5OXlmzRpwmaz+Y8b8q+AOWfPnp09e/bZs2e7desWGhrq5OT09OlTIyMjpnMRqSGm3wQ3NzcNDY2QkBATExMAycnJ+/fvd3d3P3HiRE0/UlFRkZubW+1gSUlJrfpLTcXJk0hMhIcH9u3D5MlwcwOt7SUcdXX1qp1PhMfhcDgcjqWlZW1enJ+fX1BQkJ+f//79+8LCwrCwMGNjYyUlpezs7Nzc3MLCwrS0tEOHDuXl5ZWWlhYUFJSVleXn51dUVJSVlSkrKxcUFKipqVVUVJSWlqqoqJSUlLDZbP7HlZqaGn/3XXl5eQ6Hw+9OWVlZRUWF/1hOTu7j0xE2m92kSZOPs31+hI//eSPw7SgqKtZmCEtVVVVJSQlAUFCQj4+PgYFBXFzcd999x1+/yM/PrzZ/dRoaGnIyt1yrtKj6f5BxYir0kZGRaWlpVe/Z3NzcwcGBX/RrcvLkyR07dlQ7GB8f36lTp6/35+qKWbOgqYkuXTB4MFq3xrx52Ly5vvEJw9TV1dXV1fX/vyDdiBEjrl69unz5chaLVVxcvH79+v379/fr16+uzRYXFxcVFQHgcrk5OTnVDgLgf2B8/voqeXl55eXl2dnZnx/8vLuPe6mJwPObuLi4v/76KyEhgf80OTn55cuXn3+K5OTkcCV4Nadqf5mNQY8ePQIDA5lOAQDgiUXv3r0XLlz44sWLoqKioqKiV69eBQYG9unTp67tHDlyZOvWrV950bVrPB2dT45kZvI4HF56el27I5KJy+V27dpVW1vbxsZGQ0Nj+vTpTCcSrcmTJw8cOLDqqamp6e+//85gHiIKU6ZMefXqlYgaF9MZ/cGDB729ve3s7PhjrxwOx9XVNTw8XCSd7diBsjI0bVr9+P79+OEHkfRIxIvFYt2+fTsxMfHRo0eOjo4yv4Hib7/91rp1a3Nz85YtWz58+LBLly4jR45kOhSRJmIq9Pr6+mFhYTwej//dTV1dXYQ32hw5IqqWiSQxNTU1NTVlOoU4yMvLv3z58sqVK/fv31+3bl0DXikhjYRYpyWwWKyq612EkDpxcnJycnJiOgWRSjQRhRBCZBwVekIIkXFSdkcJm80+depUYmJiLV9/6tQpqb5S9/btWx0dHaZT1B/lZxblZ1ZJSUntZ/3evXtXdFcuWTyp2l2oqKgoJiam9q+fOHFiLe8rkUwrV6709/dnOkX9UX5mUX5mrV27du/evbV8MZvN7tChg4hqvZQV+rrq1avX9evXmU5Rf5SfWZSfWZS/odAYPSGEyDgq9IQQIuOo0BNCiIyjQk8IITKOCj0hhMg4uZ9++onpDCLUqlWrLy+GLOEoP7MoP7Mof0OR8emVhBBCaOiGEEJkHBV6QgiRcVToCSFExlGhJ4QQGUeFnhBCZBwVekIIkXFU6AkhRMZRoSeEEBlHhZ4QQmSczBb69PR0JycnbW3twYMH5+TkMB2nVg4fPtyiRQstLS0HB4cHDx7wD0rdG7l9+7aCgkLVUynKX1xcPGnSJB0dnTZt2ty6dYt/UIryX7p0qV27dhwOx87OLioqin9QKvJXVFTY2tqmpaVVHREYW2Lfy+f5Je13WWYLvbe3t62tbWpqqrq6enBwMNNxvi45OdnLy+vo0aMpKSlDhw4dOnQof3UK6XojaWlpkydPLi8vrzoiRfmDg4PLy8uTk5OXLVt29OhR/kFpyc/lcseOHRsUFJSVlTVlypTx48fzj0t+/l9++cXBweHx48cfHxQYWzLfy+f5JfF3mSeLuFyuurr6ixcveDzejRs3rKysmE70dZGRkdOnT+c/zsjIUFBQKCwslK43Ulpa2qtXr8OHD1f9u5Ku/M2bN3/48OHHR6QoP5fLNTMz27lz57t379asWWNra8uTkvzXrl2LiIgAkJqayj8iMLbEvpfP80vg77JsFvrc3FwARUVFPB4vLi6Ow+EwnagOysvLvby8xo0bx5O2NzJ//vx169alpqZWFXopyl9aWgrA19dXU1OzXbt2t27d4klVfh6Pd+3aNf7Zm4KCwtOnT3lSlf/jQikwtoS/l4/zV5Gc32WZHbr5WEVFBdMRauvKlSvffPONsrJyaGjo538qyW/k999/T0hI8Pb2/sJrJDk///dQXV09JiZmyJAhY8eO5X22sKsk58/Ozh47duzhw4dTUlI8PDzmzZv3+WskOf8XCIwt+e9Fsn6XxfmpIjb8b0mvXr3i8XhRUVGtWrViOtHXcbncxYsXOzo6Pnv27OOD0vJGpkyZUu2fVmRkpBTlr6iokJOTy8vL4/F4/C8leXl5UpT/3Llz3bp14z9+8OCBuro6T6r+/eCzoZtqsSX8vVTLL2m/y7J5Rs9isVxdXfft28fj8fbv3z948GCmE33d7du3jx8/HhER0axZs/z8/Pz8fC6XK0VvZNeuXfx/UlVDN927d5ei/Gw2u1+/flu3bs3LywsJCbGxsVFXV5ei/DY2Ns+ePbt8+XJBQcGBAwc6duwI6fxFQA2xpei9SOLvsjg/VcQpNTW1V69ezZo1489kYjrO131+FZ5/giB1b+TjMXqeVOWPjY11cHDgcDjffvttdHQ0/6AU5T916hT/8+njc0lpyY9Px7gFxpbk9/Jxfgn8XaYdpgghRMbJ5tANIYSQKlToCSFExlGhJ4QQGUeFnhBCZBwVekIIkXFU6AkhRMZRoSeEEBlHhZ4QQmQcFXpCCJFxVOgJIUTGUaEnhBAZR4WeEEJkHBV6QgiRcVToCSFExlGhJ4QQGUeFnhBCZBwVekIIkXFU6AkhRMbJMx2gbuLj448cOcJ0CkIIaWAsFmv27NmqqqqiaFzKCv2dO3dSUlJcXFyYDkIIIQ1pw4YNw4cPt7S0FEXjUlboAVhZWTk5OTGdghBCGtLhw4dF1ziN0RNCiIyjQk8IITKOCj0hhMg4KvSEECLjqNATQoiMo0JPCCEyjgo9IYTIOCr0hBAi46jQE0KIjKNCTwghMk5MhT4nJ8fHx8fKyorD4aipqVlZWfn6+ubm5oqnd0IIaczEVOjd3NxSU1NDQkKio6OfPHmye/fu7Oxsd3d38fROCCGNmZgWNYuMjExLS1NSUuI/NTc3d3BwMDExEU/vhBDSmInpjL5Tp07+/v4vX74sLi4uLi6OjY1dsmSJtbW1eHonhJDGTEyF/uDBg+np6XZ2dioqKioqKh07dnz9+nV4eLh4eieEkMZMTEM3+vr6YWFhPB4vPz8fgLq6OovF+vKPREREHDhwoNrB58+ft2vXbubMmaIKSgghMkesG4+wWCwOh1PLFzs5OdnY2FQ7GBwcXFBQ0NC5CCFElknuDlMqKioWFhbVDjZp0qSwsJCRPIQQIqXEVOjT0tIEHjcwMBBPAEIIabTEVOj79u375MmTz4/zeDzxBCCEkEZLTLNuHj582Llz54iICN6nxNM7IYQ0ZmIq9HJycmPHjlVTUxNPd4QQQqqI72Ls/PnzxdYXIYSQKrR6JSGEyDgq9IQQIuOo0BNCiIyjQk8IITKOCj0hhMg4KvSEECLjqNATQoiMo0JPCCEyjgo9IYTIuBoLfUlJCf9BUVGRuMIQQghpeIIL/fLly7t3715RUeHo6KimprZmzRoxx5IQOTk5N27cePjwoVDrr/3zDxYvbrhQhBBSN4IL/aZNm8LCwi5evKitrR0TE7Nhw4YG7LKwsLCsrKwBGxSRiIgIV1fXmzdv7tq1q3///jk5OfVphcvF4sW4fx/379c/Snk5nJ2RklL/FgghjZjgQq+goFBSUrJnz56JEyeqqqpWVFQI2c2ECROKi4vj4+N79Oihrq6upqY2cuTIrKwsIZsVncLCwjVr1ly6dOnHH3/csmXLokWLgoKC6tPQ/v3o3Rt79sDXF/X+WrB9O5o2hb9/PX+cC20IHgAAH2dJREFUECJ+eXlYuJDpEJUEF3o/P78OHTokJCQMHjy4c+fOCxYsELKb8PDw8vLy6dOnW1hYJCcnp6amGhsbz549W8hmRefJkycODg5KSkr8p05OTgI3TvmK/Hxs3w5vb5iY4NtvcfhwfaK8e4cjRxAaitJS/PNPfVoghIjfypW4fRvHjjGdA6hpmeL58+dPnz5dWVmZxWLFx8crKys3SGe3bt1KSkrS0tICsGbNGiMjoy+8OCIi4sCBA9UOPnr0yNTUtEHCfJmOjk56enrV0/z8/Pr8JaxYAW9vqKoCgL8/nJzg6oq6LsofFITAQCgoYO1auLvjyhWwWHVOQggRp7g43L2Ly5fh5IQBAyqLAHNqXI9eRUWF/6ChqnxOTo61tXV8fDy/0L98+VJRUfELr3dycrKxsal2MDg4uKCgoEHyfJm5uXl2dvaxY8eGDRuWk5Mzc+bMadOm1a2JuDjcuYOVKyufqqpixgysW4effqpDIzExSEmBszMAGBvD0RHh4ZgwoW5JCCFi5uODNWvA4WD6dGzahIAAZuN8UuhZNZ8qCrntX7du3dq3b19SUjJ79uxbt27dvHlz5MiRfn5+X/gRFRUVCwuLagebNGlSWFgoTJJaYrFYYWFha9as2bp1q6qqqpeX16BBg+rWRGAgOBx8/B55POzahRkzoK9f20YWLcLHV8J9fdGnD4YMgbp63cIQGZCeDk9PnDgBOTmmo5AvunYNOjqwswOASZPQuzfc3CCWoYiafFLoRbeJ661bt3g8XkZGRnJyMgAVFZVjx445OjqKqLsGweFwgoOD6//zwcHIzq5+cNQoNG1a2xYuX8ajR9i48ZODxcXYsoXmazZGgYFQVERICLy8mI5CalZRgSVLcPRo5VM2G6tWISgI+/YxGOrrWwmWlpZ6eHiEh4cL2ROLxdLX19fX1wfQuXNnIVuTAp99HakzR0fcvCnguI6OsC0TqfPgAXJzcfAgevTAyJF1OF0gYrZrFyoqqpf1Gzdw9y7s7RnKVEOh37BhQ0BAQNXNsUOHDhVjpAaWn5+/efPmR48emZmZzZ0798tXgCWLsnIDfFoQ2bBoEbZvh6Ii/P0RHIxNm5gORGrw3XfQ1q5+cP16mJgwkaaS4EK/du3aqKioXbt2zZ07986dO4mJiWKO1VBKSkpcXV29vLwmT54cExMzYsSIo0ePSlOt5+PxMHkyNm6ElhbTUQgTDh9Gly5o0QIAXFywcyeePEHbtkzHIoK0bo3WrZkOUZ3gefSFhYUdOnTo2bPn/fv3x48fL/y4DVMuXLjQr1+/UaNG6evr9+rV66efftq5cyfToeouLAxJSXWbrkNkRlERfv4ZixZ9OLJ27SdPCfkawWf0+vr669evHzRokJ+fX+fOnSX5FtYve/XqVcuWLauetmrV6tChQwzmqY/8fGzZgmvXMGYMncc1Rlu2oLgYPj6fHHz0CFevok8fhjIRKSO40C9ZsiQwMHDRokUArK2tlyxZIt5UDWDr1q1hYWFycnJxcXFlZWX6+vrNmze/du1ap06datlCWlra4sWLExISeDze6NGjZ8yYUY8YPB4vJiYmNze3Xbt26vWbE7lqFRYuhJoa1q3DggU4f74+jRDp5eGB3r2rH5w2TQLHB4jEElzoJ06cOGbMGDabHRERUVhYqMr0bV11deHChQcPHty6dYvNZnft2tXDw6N3797x8fF5eXkvXryoTQtcLnfChAnBwcHffvttWVmZj4/Pnj17Jk+eXKcYubm5o0ePNjY21tPT46+W069fv7q9k9ev8fff4M/ytLaGlRXOnEFdZ/QTqaajQ/OsiJBqnF5Zdduq1FV5ABEREQsXLmSz2Q8fPjQzM3N2dn79+vX8+fPv379/5MgRd3f3r7bw8uVLS0vLb7/9FoCCgsKaNWtcXV3rWuiDgoIWLFjAL+5FRUVOTk6Ojo5VtxzXCv/+uqob2X78Ed9/j7598f9FeAgh5KsEF/rPb5EV3b1UosBms7lcLoDbt28PGzasoKDAzMysb9++FhYWq1atqk2hz8/P53A4VU8VFRXrsbTy48ePf/rpp5CQkJycnN69ezs4ODx58sS+9nNpo6Lwzz84evTDzRcAysvx22+YO7euYQghjZbgQl9V1nNzc7ds2dKsWTMxRmoAQ4cOXbNmzZ49e3R1dePj48+fP89fHy09PV1XV7c2LbRt2/avv/56//69pqYmgN9//51/dl8nFRUVAwYMmDFjhrW19YYNG16+fOlVp3sa27TB3r3VDzo54aPLy4TIrNRUTJmC06ch//X7OsmXfeVvUENDw8/Pz9bWtjZnwZKjd+/eCQkJPXv2VFRUfPDgwbp165pdv57o4BAYGLht27batKCkpLR27dpBgwa1adMmIyNDVVV1z549dY1RXl5uaGg4YsQINTU1Lpc7ZcoU/sdGbWlrw8mprp0SIiP8/dGkCXbsgASvZy4tvv5Ref369RQp3NvIw8PDw8OjrKwsNTU1bM6ctxcuXLSxWRcSYm1tXcsWHBwcbt68GRsbq62trVOvq2GKiorjxo0bPnx4cXFx586dJ06c+Pz5865du9ajKUIal3//RUkJDhxAr14YM4YuRwvp62P0ysrKK6vW2pU2CgoKpiYm/rm5+O8/z4kTYWZWpx+Xk5Nr1apVvXvX1NR0cHAYOXIk/6mLi4ulpWW9WyOkseDxsHgxdu6EvDyWLMHSpdi8melM0k3wnbG8jxQVFQm/wxSTDhxAz55o0QL+/li+XJw9BwYGjh079saNG//995+fn1/Lli319PTEGYAQqRQejq5dK0/L+vZFQgIeP2Y4kpQTXOhlxLNnMDXFli2YNQtt26J1a8TGompHwIsXcfGiSPu3s7Pbs2fPlStXtm/f3qVLl43VFhwmQsrPxw8/MB2CNLSiImzb9skaDxs3wteXuUCyQEwbjzBj+HC8ewdzc+zYgb59sWgR1q6FtzfOnUNFBcaPB4D0dJFu42BpaSnUovakZoVBQbh8md2pk/K4cUxnEYczZ848evSof//+33zzDdNZROnXX1FUVH1b7cePceUKzU2oN8Ebj2zatOnx48erVq1isViBgYHdunUTspucnJzg4ODTp0+npKRwuVxjY+MhQ4YEBARoaGgI2XJNMrZuVYmPfy8nZ/DXX3Jv37JDQ7F6Na5ehZwczp7FxYuwsgKPh3nzsGXLlxqKi0OzZnSDEoDY2NiEhAQbGxv92u+QJTLT+vZ1u3lzup5eqLv7pZiYQJn+NC0rK7OysmKz2S1btty8eXPHjh3Py/BKGF5e+P9lrQ98fSF1i85KFJ4gZmZmhYWF/McFBQUWFhYCX1Z7Li4u48ePv3nzZlxcXFxcXGRkpKen55AhQ+razvz580ePHv3Vl8XHx79TUIj19S2eP79EQyNHQaHM25s3Zw6vWTOejw/v8GEeh8NLTualpvI4HF5q6v/au/eoJs78DeDfEKIgQS5qxUuqKEoVRVCqVNCVSlm0p4LicopUBbEVL1tZtCosXlCqVeu2rrVLRVwqyuZYCrZYW10tUrD2smpBAaui9QKJN7xwR5L398fwQ8CogGQmGZ7P4Y/kBWae4ZCHYTIz7xMXVF3Nhgxha9e2NqfIaDSacePGde/e3d7evlu3bosWLRI2T2xs7CFLy4qsLMbYnY0b13XpkpOTI2wkvZo9e/Ybb7zR8LRfv35KpVLAPKAPYWFhFy9e1NPCJUzXMZlu3boVFRVxJ32XlpY6OjreunXref6c2NjYqNXqzo32ixljCoXi+vXrT/qWjIwM7iqnxnJzc8vKyjw9PYkoMjLS3d09Pz8/NjaW+2zDyF//9Cerhw9lf/5zpI+Pe1bWybS0Zf37d3NyovPnI7293X/9Nb9nz/rvOXky0srK/dQpncuJDQqiTp3o6tXIhAR3Pz/dX9MBRtLT07/++msnJycTE5Pa2tqsrKzU1FQ7Ozuh8iTMmPGmnV1C375ERIxNP3bsZ2/vOTExhvMTa9+RV155ZdSoUT169OBGZs+enZmZyV3BZyAJ9TIyfHh+ZGTs/8/HKXwePY9MmTJl//79w4cPJz3QXfQzZswoLy9ft24dEcXExNjY2Ozevft5VjNx4kQXF5fw8HCFQkFExcXFSUlJJ06cOHLkyJO+paqqSqVSNRuMi4u7efPmP//5TyJSKBQymUyr1XI3mHw0cu/e+R49SpVKuxEjFGFhsuTknO3bbT791Dw3l+rqFNOmyYqLtWr1lZISxhhpNAp3d9n+/VoPj+bLUamu+PuzPXsoL0+Rlibbu1fHungZKS0tzc/Pf/HFF/v168f9HPhcu0KhcHFx2bRp09ChQ7mRTZs2VVdX79q1S5CfhqJ377Pdu5d8/PHQCRPY11+Tv3/Ku+9OvHBhTGGhMHn0P+Lm5jZt2rQZM2ZwI9OmTevevfuKFSsMJ6FeRtat0x44cCU8nHl7G0QePY8EBwfHxcXp6wxsnfv5t2/fDg4O5i4UCgkJKS0tbe1/Cs2o1erg4OCGu8dYWloGBwer1erWLqdFh27eeKO2c+cb9vbspZeYqSmzsqrs1IlJJGzwYObtzUxNmasrS09/9BESwhQKHcsJDWXHjtU/Dg5m2dmtTdsu3nnnnSFDhgwZMsTJyWnChAm1tbX8Z3B1dU1JSWl4OnPmzPnz5/Mfo96OHVcdHKK6dauZPp1ZW9+aOzeiS5dqhYL9+qtgkfTs4MGD1tbWmZmZGo3ms88+69q1axteO0bm6lU2cSK7d4+NHcuqq4VOwwe9HrrRXfR6otVqHzx48ODBA61W27YltKjoc3PrkpK2jBy5d/Lk47Nm7Roz5ksfHxYfzwoLWWkpc3JiDg7NP0aMaL6QkyfZm28+enr9Ohs/nmk0bYvdZkePHrWzs8vKytJoNAUFBQ4ODrGxsTxnYIzFx8f37t37jz/+YIxlZ2dbW1vn5+fzH6Pe2bNs374ED4+LUml0166/S6XfzJrF9u1jxcWCRdI/pVLZr18/a2vrYcOGnTp1Sug4+hcYyH7+mTHG4uPZBx8InYYPvBY9EWVmZrZwx59/LXwzljGm1Wp/+OGH3bt3nzlzptWr0WqZjw+7fLnJ4Nq17N//bvWink9YWFhoaGjDU6VS6ezszHMGzpIlS7j/8Hr27Ll7925BMjTx7rs1aWlFRUWalSuZIeSBdpSTw+bMqX+s0bAJE1hJiaCB+KDXom9+CwSVSmVra8uM8az5piQSybhx48aNG9eWb1apiDF6+20iomvXyNaWLCyIiFo8O1V7kUqltbW1DU9ra2tNTIS5xu3DDz/cvG5d9ZYt5jExggRoorCQLlzotHXrACKKiiIvL/LzI72dqgu80mopJoZSUuqfmphQXBzFxFBioqCxjFvzorezs+Me1NTUcCfJVFVVtW6uDBHo3ZsOHyYiunCB3nqLunWjjAxBgoSEhEydOnX//v1eXl75+fmrVq1asGCBIEmISPLxx+Z79tCYMfTaa0JlqMdd+8YxN6fFi2nTJhL1qfQdCHdr7mavuKwsOnWK/z0t0dC9e7hu3TpPT0/u7GkLC4uNGzfyHMtQLFtGCQk0cCAdOCDI+rl5EKOiojw9Pd95550RI0ZENrtikDc3btChQ5SdTWvXUuvnYGlP33xDRFRTQydP1n8MGkRffUWXLwuZigeMka7DqmIzZgwtWEA2Nk0+NmwgA7hMz3jpvnvlRx99dOLEiUOHDtna2hYUFIwfP355B7zXxNGj1KsXOTvT6tU0aZJQE/ht2LBh3rx5eXl59vb2ejrHtkWWL6e1a6lHDwoIoPh4+utfBUsilZKTE33xRZPB11+n8nKBAvFFqaSFC+n4cZFPCz5sGA0bJnQIsdFd9DKZrKamZteuXbNmzerSpYtGo+E5lvDq6ig2ltLSiIhsbGjWLNq2TahbaPXv379/K2+w3M5OnqSHD2n8eCKiRYvIy4uCggS7RbivL/n6CrNqAVVV0bZtdPgwRUaSiO9/APqh+9BNVFSUi4vLlStX/Pz8Ro8ebdy3KW6bTz+lgIBHXTZvHu3fT2q1oJkEwhhFRVHDnASmprR6Na1ZI2SkDmjjRlqwgNzcyNFRqHeMwHjp3qOPiIiYN2+emZmZRCL5448/zMzMeI4lsLt3aeNGio6mHTseDQ4aRGvWUHx8q5d28yb97380eXI7BuTVf/5DWi398gv98sujwcOHKT+fnJyEi9WRXL9O2dm0ejUR1R9I9PHBjfag5Z54rp65uXlNTQ0RdbiWJyIzM9q6lV54ocnbQZMn01tvtWVp0dG0dCndvt3eKfni4ECBgXT3bpOPpUupo52LJaBly2j9euLuIm5jQ7NnY8YlI3D7NgUHk1YrdA6iJ+3R5+XlBQcHFxQU3LlzJzAwMDExkbtHTUdhbk7Tp7fPok6fpvJy2raNVq2ils1LbnBGj6bRo4UO0YHl5NC9e9SjB126VD/i7U3Tp9PMmTgRxaCtXk337lFSEs2ZI3SUJxT9smXLlixZEhoa2rVrV3d397fffvu7777jOZkYcFNfxseTvT198gnl5tKIEUJnAmOjVpNCQc1OcXZ3p6tXUfSGq6CAVCpKS6NXX6WAALKyEjaO7qI/depURkZGaGioiYlJTExMw1VU0DpKJY0eTfb2REQffkiLFuF8CWi16dPb7f9L4M2yZfSPf1DnzvS3v9H69c3/TvNO9zF6CwuLkpIS7nFRUVGPHj14jCQWVVX0ySeP5rocOJCGD68/XxMARCwtjYYMocGDiYimT6f8fDp/XthEuvfoly9f7uvrS0QLFy5MT0//5OmT7YFOmzaRszP99NOjEXd3+vvfafJk6oDvbwN0ELW1tGULHTz4aIQ7hS81VbhMTyj68PDwYcOG5eTkWFtbv/feewJfrWOk+valqipqNrOKvz9VVKDoAURr+3aqq6MNG5oM/vor/fBD/SWHQtBd9ETk6enJzdgHbRQWJnQCPbh2jTrU+VcArRUUpKPQ//IXGjRIiDT1mhT9w4cPP//88+vXr0+aNGnMmDGFhYUFBQXFxcUHDhw4zN3NURQqKiqioqJyc3MlEomLi8v7779vwd2FGJ7u2DGaOpUKCqhXL6GjABgqOzsyvLNXmrwZO3/+/A0bNly9ejUkJGTx4sWjRo3617/+lZ2d7ebmJlQ+fYiIiPD09MzKyjp27Ji7u3tHvMFDG2g0tHIl7dxJ0dFCRwGA1mmyR5+Wlnby5El7e/uffvrplVdeOX/+/CDh/t3IyMhITk5uNpibm/viiy8+z2K1Wu2lS5cCAwO5p2+++WZCQoJWqxVqQg+jkZBAU6ZQQAB98QX98gsuoQIwIk2K/v79+9z7ri+//DIROTg4CJKJ4+3t7fTYrVTi4uIqKiqeZ7EajUYqlTYekUqlGo0GRf803AV+WVlERJs3U0gIHTlSf0U+ABi8JkUvkUgkEgkRcVUoEfSVbG5uPmDAgGaDVlZWlZWVz7NYmUwml8tPnz7t6upKRKdOnbK0tJTJZM+zTPGLjaXo6Pq7aCkU5OlJKSkUHCx0LABokSZFzxhTN7oTb+PHYro4dtu2bXPnzpXL5YyxysrKRMxF+XTnztG5c/TRR49GVqygiRPJ35/wJjaAMWhS9FqttlejEyoaPxbBdOEN+vTp8+23396+fZuIugs1e4YROXqUKip0zBP788/06qtCBAKA1mm+Ry9UDv6h4ltq4UJauFDoEADQdngHEgBA5FD0AAAih6IHABA5FD0AgMih6AEARA5FDwAgcih6AACRQ9EDAIgcih4AQOR4Kvr79++/9957jo6OlpaWFhYWjo6Oy5cvf/DgAT9rBwDoyHgq+pkzZ6pUqoSEhLy8vLNnzyYmJt69e3f27Nn8rB0AoCN74pyx7Ss7O1utVnfm7nNLZG9v7+HhocDsowAA+sfTHv3IkSOjo6MvXLhQXV1dXV1dVFS0atWql156iZ+1AwB0ZDwVfUpKyo0bN0aNGmVubm5ubu7q6nr58uW9e/fys3YAgI6Mp0M3PXv23LNnD2OsvLyciORyubDTVwEAdBw8FT1HIpFYWlryuUYAAOC16FslIyMjOTm52WBubq69vb0geQAAjBRPRd94+tnGnjIVrbe3t5OTU7PBAwcOtMs0WMePH//yyy8lEklAQMDYsWOff4EAAAaLp6J/7bXXzp49+/j4U1rb3Nx8wIABzQbt7Oy4uV6fR1JS0nfffbds2TIi+uCDDy5evDhr1qznXCYAgMHi6ayb3377bfTo0RkZGawpftbezM6dO5OTk0eOHDly5Mi9e/fu2LFDkBgAAPzgqeilUmlQUJCFhQU/q3uKmpoauVwuk8m4pzKZTC6X19TUCJsKAEB/+HszNiIigrd1PUXnzp0rKyvLy8vlcjkRlZeXV1ZWNlyyCwAgPgLcvVKpVPK/0saio6P9/f1TU1NTU1P9/f1jYmKEzQMAoFcCFH1QUBD/K23M19d3586darVarVYnJib6+PgImwcAQK8M9zx6verfv/+iRYuETgEAwAcB9ug3b97M/0oBADosAYp+6dKl/K8UAKDDwlSCAAAih6IHABA5FD0AgMih6AEARA5FDwAgcih6AACRQ9EDAIickV0Za2VltX79+vT09BZ+/YkTJ4z6hmWVlZVdunQROkXbIb+wkF9YWq3Wzc2thV987do1c3NzPSWRCHVTeH54eXllZmYKnaLtkF9YyC8s5G8vOHQDACByKHoAAJFD0QMAiByKHgBA5FD0AAAiJ/KiNzU1svNHm0F+YSG/sJC/vYj89MqysjJLS0uhU7Qd8gsL+YWF/O1F5EUPAAAiP3QDAAAoegAAkUPRAwCIHIoeAEDkUPQAACKHogcAEDkUPQCAyKHoAQBETrRFf+PGDW9vb1tbWz8/v/v37wsdp0WUSqWDg4ONjY2Hh8fp06e5QaPbkB9//FEmkzU8NaL81dXVISEh3bt3Hzp06PHjx7lBI8p/+PDh4cOHW1pajho1Kicnhxs0ivwajcbZ2VmtVjeM6IxtsNvyeH5Dey2LtuiXLFni7OysUqnkcnlcXJzQcZ6tuLg4PDw8NTW1pKRk6tSpU6dO5S5aNq4NUavVc+bMqauraxgxovxxcXF1dXXFxcVr165NTU3lBo0lv1arDQoKWrly5Z07d8LCwoKDg7lxw8+/detWDw+PM2fONB7UGdswt+Xx/Ib4WmZipNVq5XL5+fPnGWPHjh1zdHQUOtGzZWdnz5s3j3t88+ZNmUxWWVlpXBtSW1vr5eWlVCobfq+MK3+/fv1+++23xiNGlF+r1fbv33/Hjh2lpaUbN250dnZmRpL/+++/z8jIICKVSsWN6IxtsNvyeH4DfC2Ls+gfPHhARFVVVYyxS5cuWVpaCp2oFerq6sLDw2fMmMGMbUMiIiI2b96sUqkait6I8tfW1hLR8uXLra2thw8ffvz4cWZU+Rlj33//Pbf3JpPJCgsLmVHlb1yUOmMb+LY0zt/AcF7Loj1005hGoxE6QksdOXLEzc3NzMwsKSnp8c8a8obs27fvypUrS5YsecrXGHJ+7nUol8sLCgr8/f2DgoLYY/f7M+T8d+/eDQoKUiqVJSUloaGhixcvfvxrDDn/U+iMbfjbYlivZT7/qvCG+y/p4sWLjLGcnJzBgwcLnejZtFrtihUrxo0bd+7cucaDxrIhYWFhzX61srOzjSi/RqORSqVlZWWMMe6fkrKyMiPKf/DgwbFjx3KPT58+LZfLmVH9/tBjh26axTbwbWmW39Bey+Lco5dIJFOmTPn8888ZY7t37/bz8xM60bP9+OOPaWlpGRkZffr0KS8vLy8v12q1RrQhO3fu5H6lGg7deHp6GlF+ExMTHx+f7du3l5WVJSQkODk5yeVyI8rv5OR07ty5//73vxUVFcnJya6urmScLwR6Qmwj2hZDfC3z+VeFTyqVysvLq0+fPtyZTELHebbH34XndhCMbkMaH6NnRpW/qKjIw8PD0tLS3d09Ly+PGzSi/F999RX396nxvqSx5Kemx7h1xjbkbWmc3wBfy5h4BABA5MR56AYAABqg6AEARA5FDwAgcih6AACRQ9EDAIgcih4AQORQ9AAAIoeiBwAQORQ9AIDIoegBAEQORQ8AIHIoegAAkUPRAwCIHIoeAEDkUPQAACKHogcAEDkUPQCAyKHoAQBEDkUPACByKHroiEaMGGFqampqaiqRSKRSqampaZ8+fYQOBaAvmBwcOjSJRKJSqezs7IhIrVb36tULrwgQH+zRA9SztbXNzMwUOgVA+0PRA9Tr1KmTl5cX91gikURGRjo7O8+fPz8iIiIgIEChUKxatYr77GeffTZw4MAXXnhh0qRJZ86cES4yQIvg0A10aI0P3XBPuVeERCLJzMwcNGhQ3759Dxw48PrrrxcWFrq4uNTU1OTk5MydO/fQoUO9evVKSUnZsmULuh4MHIoeOrSnFH1dXZ1UKpVIJBqNxsTEpOGzGzZsiI6ObliCiYlJRUWFmZmZIPkBWgKHbgB0k0ql3AOu5RtYW1svWLCAMcYY02g0d+7cQcuDgUPRA7SOr69venr677//Xltbu2bNmsDAQKETATyDqdABAIyMvb39tm3bpkyZcuvWrZdffjkxMVHoRADPgGP0AAAih0M3AAAih6IHABA5FD0AgMih6AEARA5FDwAgcih6AACRQ9EDAIgcih4AQORQ9AAAIoeiBwAQORQ9AIDIoegBAEQORQ8AIHIoegAAkUPRAwCIHIoeAEDkUPQAACKHogcAELn/Azn82al181T3AAAAAElFTkSuQmCC" alt="plot of chunk unnamed-chunk-5"/> </p>
<p>Confidence intervals for the parameter estimates are obtained using the <code>mkinparplot</code> function.</p>
<pre><code class="r">mkinparplot(fit)
</code></pre>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfgAAAH4CAMAAACR9g9NAAACoFBMVEUAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcKCgoMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUXFxcYGBgZGRkbGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkrKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVXV1dYWFhaWlpbW1tcXFxdXV1fX19gYGBiYmJjY2NlZWVmZmZnZ2doaGhpaWlqampsbGxtbW1ubm5vb29wcHBxcXFycnJ0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6QkJCUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJyfn5+goKChoaGioqKlpaWmpqanp6eoqKipqamqqqqrq6usrKyxsbGzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHDw8PExMTFxcXIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc3Nzd3d3e3t7f39/g4ODh4eHi4uLk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v7///8M+OFuAAAACXBIWXMAAAsSAAALEgHS3X78AAAQC0lEQVR4nO3d/X9T5QEF8AcnL+0ECgUpVVgbkUywIsJEQQGZVUFQVjY3VplzgjIUqxOsTCbIy0Cw42UyEJ3dgBXmRBAGpSotrIVA1Vra0jZNk+df2b15vU3S29ybJ6HtOd8fSnKTnBs+p+nOJwtWSIIkTG+95JhNfZTjUhLFn19q+TuJeoml501vZvH9FYsHxeJBsXhQLB4UiwfF4kGxeFAsHhSLB8XiQbF4UCweFIsHxeJBsXhQLB4UiwfF4kGxeFAsHhSLB8XiQbF4UCweFIsHxeJBsXhQLB4UiwfF4kGxeFAsHhSLB8XiQbF4UCweFIsHxeJBsXhQLB4UiwfF4kGxeFAsHhSLB8XiQbF4UCweFIsHxeJBsXhQLB4UiwfF4kGxeFAsHhSLB8XiQbF4UCweFIsHdYOKj+ReeXjYE412Y6ir1jPd3eL7POrADS9+yYr2opfsxlBX//1t+OLudboLoasthVF3TVHx4pUHpldKWZaXOeod7doGp9w6buS809rFbYtz18mF4i5P4I6+jK/kEYfpWShhhuLvL9f8bk/oatqK3yS3T5PunFLPZ4O1a1tkheOie8dE7WKZrBxkyG0SbbIm0/QslDBD8TP1L5vTX3ytbBzQLr1ndi/TIkSLLBWam9qkuO4P7Vr8ENOzUMKOjSoIydS/jB0Xujp5QtRdU1V8g6wXrfKxwrKzgZo3Pyel9/tAoLF4X8Z5eTS/x78RJaQXvOLXelZPlddFVcdO4dZTakZXuUvmRIp3h+5ZVOIrXml6FkqYofgHGzR/Sn/xq7KmnJWyJCvvjQVF/pR9+cPm1oaLL8wJjjvpmnXr/GumZ6GEGYp/7WndidDVtBVv+jhKkYaPurulc2/UgRtVfLnwK+jpfpQifMWD4nv1oFg8KBYPisWDYvGgWDwoFg+KxYNi8aBYPCgWD4rFg2LxoFg8KBYPisWDYvGgWDwoFg+KxYNi8aBYPCgWD4rFg2LxoFg8KBYPisWDYvGgWDwoFg+KxYNi8aBYPCgWD4rFg2LxoFg8KBYPisWDYvGgWDwoFg+KxYNi8aBYPCgWD4rFg2LxoFg8KBYPisWDYvGgWDwoFg+KxYNi8aBYPCgWD4rFg2LxoJIqvsZR3NUdE9Qa3bvz8nPU5o27TW3e2AXF3XLUJFG8vFDd1f0fH1Fqktq48ilq8957Sm3eay+qzfvlX6q7dcG8WYu/B76wxdr9ezJTbVz7I2rzTi5Xm7d7i9q814/YfiiLN8PiQ1h8Ulh8CItPCosPYvEJY/FmWHzIKdsn6pN5bV+qzau/pDavutn2Qy0WT/0FiwfF4kGxeFAsHhSLB8XiQbF4UCweFIsHZan4Kw8Pe6JR1Zl3jx86/YTKzGM3S4Vxbc9kTTiqMO/vEzPurlCV1+l0yXCWvUhLxS9Z0V70kuVTxFd3y8nW9bk+dZkuh/53URb36pL2D5ary/MO3+veNFZR3sapQi8+mGUv0krxvoyv5BGH5VPEV/GslPUDW5VldszaI1Q+xdwv9K/K8ny3bWv4448V5R3arxcfzLIZaaX4JtEmazItn6JbncuK1GUuX+8SCp9ih1g11HlM4V/5kBADzynL04sPZtmMtFz8EMun6E75pOUdyjL3PukLF6/iKX4r1l4uGetTlteQvedy8Vxlzy9c/BC7kdZ+1J+XR/Mtn6KbsJdnVCnMXCp0FcqeovcHzdIlmpXlHZwu5ckMZX/dwI96f5bNSEvjrqjEV7zS8iniO5rf2Nzc7FWYqb/i1cX9dF3TmjvV5f1v+CctL85Qlucfd8Ese5GWinfNunX+NcuniO9N/0vUpTDTX7yyuOqfZN53WmHe3+7M0H/EKcrzFx/MshfJN3BAsXhQLB4UiwfF4kGZF3/JMZv6KIf5Z/gt/hcxdnYm8t1EvYDa/xSK6n9CRSnD4kGpLf7x1iSfDqWL2uKbknw2lDb8z52BUls8V32fwXEHisWD4qoHxVUPiqseFFc9KI47UCweFFc9KK56UFz1oLjqQXHcgWLxoLjqQXHVg+KqB8VVD4rjDhSLB8VVD4qrHhRXPSiuelAcd6BYPCiuelBc9aC46kFx1YPiuAPF4kFx1YPiqgfFVQ+Kqx4Uxx0oFg+Kqx4UVz0ornpQXPWgOO5AsXhQXPWgUrTqFf32Kv4SrJRJ0aq31FjUnV2iu1v6ky9v8PlStOqTKd59OMHT92kPeS0+4P0/a7a32zxdS2HUgRSNOyGvTtoRDnnlgemVUpblZY56R7u2wSm3jhs577R2cdvi3HVyobjLE7znxuzha/wnDdzSNaZ/sVq8x/lXzaxqm6dLW/GXnbsiIZvk9mnSnVPq+Wywdm2LrHBcdO+YqF0sk5WDDCdpHXCq6p52f/HBW4wx/Yvl4mfrX3/VS4sPr3oxeUR9JKRWNg5ol94zu5fpnbbIUv13w9/UJsX1wMs7dEdfwaIPOwOHgrcYY/qXHz31tCVPZetfb3/U2qPCnrwz6vypWvUVzxdFQhpkvWiVjxWWnQ3UvPk5Kb3fB9KNxUvPB4/PCB8SUTH9y8xvGyypf1D/uuSEtUeF1T0adf6UrfqmnIPhK2s9q6fK66KqY6dw65E1o6vcJXMi9bqDd2zLrj2nfYcYijfG9C/960e9cdUfGBt6/YtVWVPOSlmSlffGgiJ/5L78YXNrw/UW5oTG3ZqhI0q7vOKNMf2L1eK9hfqvAp7znc3TpWvcWQgBtdWX1tN53os6kMLiy4VfQc/Fh+9JaZOO9+r5iu+F+AkcUPwEDih+AgcUP4gBisWD4idwQHHVg+KqB8VVD4rjDhSLB8VVD4qrHhRXPSiuelAcd6BYPCiuelBc9aC46kFx1YPiuAPF4kFx1YPiqgfFVQ+Kqx4Uxx0oFg+Kqx4UVz0ornpQXPWgOO5AsXhQXPWguOpBcdWD4qoHxXEHisWD4qoHxVUPiqseFFc9KI47UCweFFc9KK56UFz1oLjqQXHcgWLxoLjqQXHVg+KqB8VVD4rjDhSLB8VVD4qrHhRXPSiuelAcd6BYPCiuelBc9aC46kFx1YPiuAPF4kFx1YPiqgfFVQ+Kqx4Uxx0oFg+Kqx4UVz0ornpQXPWgOO5Apah488fRjZeiVW+p+Lh37nS6rGT0Y83nknr48fiHU7Tqky5+41TB4gM+/X23N7W9vU6zwWfy6LZ58Y+naNULeXXSjvCVVx6YXillWV7mqHe0axuccuu4kfNOaxe3Lc5dJxeKuzyhe65wLnth4ZgSKQ/tZ/FBJsVfnFOuuafd5NHpKT686sVl565IyCa5fZp055R6PhusXdsiKxwX3TsmahfLZOUg40nE4TpxwH9Mu8ziA8yKf0b/+siNLz4y7iaPqI+E1MrGAe3Se2b3Mi1PtMhSobmpTYrr/jMYiu+Uwhs8wOKDPhpd0B1nlv71h3d3e4eCgsn58VNTVXzF80WRkAZZL1rlY4VlZwM1b35OSu/3gfSuxYePsfiwvvCKN6z6ppyD4ZC1ntVT5XVR1bFTuPXImtFV7pI5keLdhtOx+Ghmxf+sQfPQjS/euOoPjA1dE6uyppyVsiQr740FRf7IffnD5taGSy7M8UQexuKjmRR/bfHTmiVek0enedVbCKEeXP1HMo/27ol/PIXv1ZcLv4Keiw/fk9ImHe/V8xXfC/H/pAHFT+CA4idwQPETOKD4CRxQHHegWDwornpQXPWguOpBcdWD4rgDxeJBcdWD4qoHxVUPiqseFMcdKBYPiqseFFc9KK56UFz1oDjuQLF4UFz1oLjqQXHVg+KqB8VxB4rFg+KqB8VVD4qrHhRXPSiOO1AsHhRXPSiuelBc9aC46kFx3IFi8aC46kFx1YPiqgfFVQ+K4w4UiwfFVQ+Kqx4UVz0ornpQHHegWDwornpQXPWguOpBcdWD4rgDxeJBcdWD4qoHxVUPiqseFMcdKBYPiqseFFc9KK56UFz1oDjuQLF4UFz1oLjqQXHVg+KqB8VxB4rFg+KqB8VVD4qrHhRXfd9gXoSNB6Vx3H3xXbyjh0zPQEHdFdHpdEUdcUXu2kuKf/Wo/4+3Vum+CR70zDY9AwV1U8TGqSK6ePfhnh7kl8ZVHyz+3uOaX/wneJDFJ0bIq5N2hK+scC57YeGYEu3n5X5j8Ruzh6/xdya2Lc5dF/WgKGlc9cHiZ+pfVrJ4a8Rl567IlcN14oCsHOS/HCm+dcCpqnva/cWX+W/t8qAoaVz1ixwFukz9S/YdBQF3j7cSgUtMHlEfudIphTdYjqF4X8GiDzsDr/jrgT+MD4qSxlXPV3wSRMXzRZErgWKii5eeDx6fYby1y4OipH/cTavW/JrFWyNkU87ByJW4xbdl154TrcbijQ+Kkv7iXy7WPHsleJDFJ0Yr4sDYpsiVuK/4NUNHlHZ5xRsfFCWNq/7f8f73xnfA9AyUKnyvvu8oF34FiR43xffqQfG9elD8IAYoFg+Kn8ABxVUPiqseFFc9KI47UCweFFc9KK56UFz1oLjqQXHcgWLxoLjqQXHVg+KqB8VVD4rjDhSLB8VVD4qrHhRXPSiuelAcd6BYPCiuelBc9aC46kFx1YPiuAPF4kFx1YPiqgfFVQ+Kqx4Uxx0oFg+Kqx4UVz0ornpQXPWgOO5AsXhQXPWguOpBcdWD4qoHxXEHisWDSqr4GkdxVxl3TFBjTL6ioNzxioLG3aYoKC9HUZBjYnESHDVJFC8vVHc17eMjasx/X1FQ8duKgkpeVBT07s8VBe17tDoJF8ybtfj76pX9qP9NpaKgtz5SFLRrq6KgY6sVBdUtURQUD4sPYfFmWHzPWLwZFt8zFm+GxdvD4kNYvJlTqs57zq0o6GKjoqD6S4qCWr5WFNR5RlFQPBaLp/6CxYNi8aBYPCgWD4rFg2LxoFg8KBYPisWDSqj4Kw8Pe6LReClywJqYINnpdNnIiQ3aPX7o9BMqgvaMz3T+U0WQlMdutpETGzRdCKH+XfuEil+yor3oJeOlyAFrYoI2ThW2io8OqrvlZOv6XF/yQU2DP/G8O0bBM5LS5bD14zQ6yJdV19zcZifJVCLPzZfxlTziMFyKHLAmJkge2m+r+JigimelrB9o/d93xQQ1HfRd3TFRwTOSHbP22Ck+JuhKRkHGvB4+QGdDIs+tSbTJmkzDpcgBa2KC9Cdgp/h4QZ3LipQEfS0GfaEiaPl6l53iY4I+n3b822cetJFkLuHihxguRQ5YExMkkym+a1D5pOUdap7RtdfvUxC090mf/eKjnpG8PED5P1ZN7Ef9eXk033ApcsCamCBps/jYZ/TyjCobObFBx/8gZYON7+mYoKVCV5F80KdHpPxuoI1vanMJfVMWlfiKV0p52B26FPzDspggm8XHBB3Nb2xubvYmH1Q37KRv870KnpHG1is+JuhfI890rFhkJ8lUQs/NNevW+df8HQUvBf+wLCbIbvHRQW/6X182omKe0a7bh95/VsEzknaLjwn6U3bW4m/sJJniGzigWDwoFg+KxYP6PxXUkHh/D33ZAAAAAElFTkSuQmCC" alt="plot of chunk unnamed-chunk-6"/> </p>
<p>A comprehensive report of the results is obtained using the <code>summary</code> method for <code>mkinfit</code>
objects.</p>
<pre><code class="r">summary(fit)
</code></pre>
<pre><code>## mkin version: 0.9.36
## R version: 3.2.0
## Date of fit: Fri Jun 19 16:21:21 2015
## Date of summary: Fri Jun 19 16:21:21 2015
##
## Equations:
## d_parent = - k_parent_sink * parent - k_parent_m1 * parent
## d_m1 = + k_parent_m1 * parent - k_m1_sink * m1
##
## Model predictions using solution type odeintr
##
## Fitted with method Port using 153 model solutions performed in 0.562 s
##
## Weighting: none
##
## Starting values for parameters to be optimised:
## value type
## parent_0 100.7500 state
## k_parent_sink 0.1000 deparm
## k_parent_m1 0.1001 deparm
## k_m1_sink 0.1002 deparm
##
## Starting values for the transformed parameters actually optimised:
## value lower upper
## parent_0 100.750000 -Inf Inf
## log_k_parent_sink -2.302585 -Inf Inf
## log_k_parent_m1 -2.301586 -Inf Inf
## log_k_m1_sink -2.300587 -Inf Inf
##
## Fixed parameter values:
## value type
## m1_0 0 state
##
## Optimised, transformed parameters:
## Estimate Std. Error Lower Upper t value Pr(>|t|)
## parent_0 99.600 1.61400 96.330 102.900 61.72 4.048e-38
## log_k_parent_sink -3.038 0.07826 -3.197 -2.879 -38.82 5.601e-31
## log_k_parent_m1 -2.980 0.04124 -3.064 -2.897 -72.27 1.446e-40
## log_k_m1_sink -5.248 0.13610 -5.523 -4.972 -38.56 7.087e-31
## Pr(>t)
## parent_0 2.024e-38
## log_k_parent_sink 2.800e-31
## log_k_parent_m1 7.228e-41
## log_k_m1_sink 3.543e-31
##
## Parameter correlation:
## parent_0 log_k_parent_sink log_k_parent_m1 log_k_m1_sink
## parent_0 1.00000 0.6075 -0.06625 -0.1701
## log_k_parent_sink 0.60752 1.0000 -0.08740 -0.6253
## log_k_parent_m1 -0.06625 -0.0874 1.00000 0.4716
## log_k_m1_sink -0.17006 -0.6253 0.47164 1.0000
##
## Residual standard error: 3.211 on 36 degrees of freedom
##
## Backtransformed parameters:
## Estimate Lower Upper
## parent_0 99.600000 96.330000 1.029e+02
## k_parent_sink 0.047920 0.040890 5.616e-02
## k_parent_m1 0.050780 0.046700 5.521e-02
## k_m1_sink 0.005261 0.003992 6.933e-03
##
## Chi2 error levels in percent:
## err.min n.optim df
## All data 6.398 4 15
## parent 6.827 3 6
## m1 4.490 1 9
##
## Resulting formation fractions:
## ff
## parent_sink 0.4855
## parent_m1 0.5145
## m1_sink 1.0000
##
## Estimated disappearance times:
## DT50 DT90
## parent 7.023 23.33
## m1 131.761 437.70
##
## Data:
## time variable observed predicted residual
## 0 parent 99.46 9.960e+01 -1.385e-01
## 0 parent 102.04 9.960e+01 2.442e+00
## 1 parent 93.50 9.024e+01 3.262e+00
## 1 parent 92.50 9.024e+01 2.262e+00
## 3 parent 63.23 7.407e+01 -1.084e+01
## 3 parent 68.99 7.407e+01 -5.083e+00
## 7 parent 52.32 4.991e+01 2.408e+00
## 7 parent 55.13 4.991e+01 5.218e+00
## 14 parent 27.27 2.501e+01 2.257e+00
## 14 parent 26.64 2.501e+01 1.627e+00
## 21 parent 11.50 1.253e+01 -1.035e+00
## 21 parent 11.64 1.253e+01 -8.946e-01
## 35 parent 2.85 3.148e+00 -2.979e-01
## 35 parent 2.91 3.148e+00 -2.379e-01
## 50 parent 0.69 7.162e-01 -2.624e-02
## 50 parent 0.63 7.162e-01 -8.624e-02
## 75 parent 0.05 6.074e-02 -1.074e-02
## 75 parent 0.06 6.074e-02 -7.382e-04
## 100 parent NA 5.151e-03 NA
## 100 parent NA 5.151e-03 NA
## 120 parent NA 7.155e-04 NA
## 120 parent NA 7.155e-04 NA
## 0 m1 0.00 0.000e+00 0.000e+00
## 0 m1 0.00 0.000e+00 0.000e+00
## 1 m1 4.84 4.803e+00 3.704e-02
## 1 m1 5.64 4.803e+00 8.370e-01
## 3 m1 12.91 1.302e+01 -1.140e-01
## 3 m1 12.96 1.302e+01 -6.400e-02
## 7 m1 22.97 2.504e+01 -2.075e+00
## 7 m1 24.47 2.504e+01 -5.748e-01
## 14 m1 41.69 3.669e+01 5.000e+00
## 14 m1 33.21 3.669e+01 -3.480e+00
## 21 m1 44.37 4.165e+01 2.717e+00
## 21 m1 46.44 4.165e+01 4.787e+00
## 35 m1 41.22 4.331e+01 -2.093e+00
## 35 m1 37.95 4.331e+01 -5.363e+00
## 50 m1 41.19 4.122e+01 -2.831e-02
## 50 m1 40.01 4.122e+01 -1.208e+00
## 75 m1 40.09 3.645e+01 3.643e+00
## 75 m1 33.85 3.645e+01 -2.597e+00
## 100 m1 31.04 3.198e+01 -9.416e-01
## 100 m1 33.13 3.198e+01 1.148e+00
## 120 m1 25.15 2.879e+01 -3.640e+00
## 120 m1 33.31 2.879e+01 4.520e+00
</code></pre>
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