{ "cells": [ { "cell_type": "markdown", "id": "6ec80638-728f-444f-a012-e57ea5afbef7", "metadata": {}, "source": [ "# Similarity-based OSF logic\n", "\n", "The language of OSF logic is extended with a similarity relation on sort symbols." ] }, { "cell_type": "code", "execution_count": 1, "id": "3b06c13e-f9da-4ba0-b74f-4800a171c711", "metadata": {}, "outputs": [], "source": [ "from fosf.parsers import parse_taxonomy\n", "taxonomy_decs = \"\"\"\n", "# sort subsumption\n", "person, string, movie < top .\n", "\n", "historical, fantasy, horror, thriller < movie .\n", "scifi < fantasy .\n", "psych_horror < horror .\n", "psych_thriller < thriller .\n", "\n", "director, producer, writer < person .\n", "thrillerdirector < director.\n", "horrorwriter < writer.\n", "\n", "# sort similarity\n", "psych_thriller ~ psych_horror = 0.5 .\n", "historical ~ fantasy = 0.2 .\n", "\"\"\"\n", "tax = parse_taxonomy(taxonomy_decs)" ] }, { "attachments": {}, "cell_type": "markdown", "id": "f72c3f38-a7c6-489e-aa92-72d602d0b7fc", "metadata": {}, "source": [ "The subsumption and similarity relations are combined into a single *fuzzy* subsumption relation. E.g., since\n", "- `psych_thriller ~ psych_horror = 0.5 `, and\n", "- `psych_horror < horror`, then\n", "- `psych_thriller < horror` with degree $0.5$.\n", "\n", "We can visualize the resulting fuzzy taxonomy (and the background similarity)." ] }, { "cell_type": "code", "execution_count": 2, "id": "3e038c62-3eef-4b75-96ea-3ff0b0647415", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from fosf.utils.draw import notebook_display as display\n", "display(tax, similarity=tax._similarity)" ] }, { "cell_type": "code", "execution_count": 3, "id": "27f8cb44-c55a-411f-a7b8-1191f9958cfc", "metadata": {}, "outputs": [], "source": [ "from fosf.syntax import Sort\n", "movie = Sort('movie')\n", "horror = Sort('horror')\n", "thriller = Sort('thriller')\n", "psych_horror = Sort('psych_horror')\n", "psych_thriller = Sort('psych_thriller')\n", "historical = Sort('historical')\n", "fantasy = Sort('fantasy')\n", "scifi = Sort('scifi')" ] }, { "cell_type": "markdown", "id": "ccbdb2ae-1488-46c1-9ba3-dd15c3a76f98", "metadata": {}, "source": [ "We can thus compute GLBs:" ] }, { "cell_type": "code", "execution_count": 4, "id": "11adef5c-a582-4ac8-9f9c-043fb96a646b", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "Sort('scifi')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tax.glb(historical, fantasy)" ] }, { "cell_type": "markdown", "id": "d0ad1bc9-eda6-4d4c-b017-e2e8cc9079dc", "metadata": {}, "source": [ "And also subsumption degrees:" ] }, { "cell_type": "code", "execution_count": 5, "id": "776fbc4e-0fdb-4d64-976a-8086682c952d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.float64(0.2)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tax.degree(scifi, historical)" ] }, { "cell_type": "code", "execution_count": 6, "id": "c5b167b9-1e19-4a42-a720-84ae8458cdd4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tax.degree(psych_horror, movie)" ] }, { "cell_type": "markdown", "id": "e6734698-6348-439a-8190-7f8444bbfd97", "metadata": {}, "source": [ "Since `horror` and `thriller` don't have a GLB, we obtain maximal lower bounds (MLBs) instead,\n", "which are treated as a disjunctive set of sorts." ] }, { "cell_type": "code", "execution_count": 7, "id": "75c0d3bb-1a9a-45aa-a8c2-eceb51bb2df9", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "FrozenDisjunctiveSort(Sort('psych_horror'), Sort('psych_thriller'))" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tax.glb(horror, thriller)" ] }, { "cell_type": "markdown", "id": "c32a972a-ca4e-4a3a-8a83-d2cdcd2b096a", "metadata": {}, "source": [ "`psych_thriller` and `psych_horror` don't have a GLB or MLBs, but they are similar, so we also obtain a disjunctive set of sorts:" ] }, { "cell_type": "code", "execution_count": 8, "id": "f1caf872-640c-4c31-8fd0-a9214826f63e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "FrozenDisjunctiveSort(Sort('psych_horror'), Sort('psych_thriller'))" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tax.glb(psych_thriller, psych_horror)" ] }, { "cell_type": "markdown", "id": "88260907-933b-4770-9df5-ecc5f0565ff9", "metadata": {}, "source": [ "Disjunctive sorts are printed inside curly braces:" ] }, { "cell_type": "code", "execution_count": 9, "id": "272a2b37-74ce-4782-8367-3f29fdea6992", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{ psych_horror, psych_thriller }\n" ] } ], "source": [ "print(tax.glb(psych_thriller, psych_horror))" ] }, { "attachments": {}, "cell_type": "markdown", "id": "c5e97bf1-4b6a-414a-a4a7-89b0d436b31b", "metadata": {}, "source": [ "## Similarity-based OSF term normalization\n", "\n", "The similarity relation is taken into account when normalizing or unifying OSF terms." ] }, { "cell_type": "code", "execution_count": 10, "id": "d6a86638-0119-4460-9c3d-6d612c4f7818", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Term 1 to be unified:\n", "X0 : psych_horror(\n", " directed_by -> X1\n", ")\n", "\n", "\n", "Term 2 to be unified:\n", "Y0 : psych_thriller(\n", " directed_by -> Y1\n", " written_by -> Y1 : writer\n", ")\n", "\n" ] } ], "source": [ "from fosf.parsers import parse_term\n", "term1_str = \"X0:psych_horror(directed_by -> X1)\"\n", "term2_str = \"Y0:psych_thriller(directed_by -> Y1, written_by -> Y1:writer)\"\n", "term1, term2 = parse_term(term1_str), parse_term(term2_str)\n", "print(\"Term 1 to be unified:\")\n", "term1.pretty_print()\n", "print(\"\\nTerm 2 to be unified:\")\n", "term2.pretty_print()" ] }, { "cell_type": "code", "execution_count": 11, "id": "97846379-7cbd-49a6-bdc4-fffa41b234d4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Unifier:\n", "X0 : { psych_horror, psych_thriller }(\n", " directed_by -> X1 : writer\n", " written_by -> X1\n", ")\n", "with unification degree: 0.5\n" ] } ], "source": [ "from fosf.reasoning import unify_terms\n", "unif, degree = unify_terms([term1, term2], tax, return_degree=True)\n", "print(\"Unifier:\\n\"+unif.prettify() + f\"with unification degree: {degree}\")" ] }, { "cell_type": "code", "execution_count": 12, "id": "65aa5ad4-5401-4539-8bb3-79f94fe189be", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from fosf.utils.draw import unification_to_agraph\n", "display(unification_to_agraph([term1, term2], tax))" ] }, { "attachments": {}, "cell_type": "markdown", "id": "599118c4-61f7-4edc-9d31-cc67e4d704ed", "metadata": {}, "source": [ "## Similarity-based OSF term normalization modulo an OSF theory\n", "\n", "Defining an OSF theory:" ] }, { "cell_type": "code", "execution_count": 13, "id": "142a1395-9833-4de5-a741-6ae4e6db5b6d", "metadata": {}, "outputs": [], "source": [ "from fosf.parsers import parse_theory\n", "theory_str = taxonomy_decs + \"\"\"\n", " # sort definitions\n", " \n", " person := Yp:person(spouse -> Y1:person(spouse -> Yp,\n", " last_name -> Yn:string),\n", " last_name -> Yn).\n", " \n", " thrillerdirector := Yt:thrillerdirector(director_of -> Y2: thriller).\n", " \n", " horrorwriter := Yh:horrorwriter(writer_of -> Y3: horror).\n", " \n", " movie := Ym:movie(directed_by -> Y5: director(director_of -> Ym),\n", " written_by -> Y6: writer(writer_of -> Ym)).\n", "\n", "\n", " # feature domain & ranges\n", " \n", " domain(director_of) := director . range(director_of) := movie .\n", " domain(directed_by) := movie . range(directed_by) := director .\n", " domain(writer_of) := writer . range(writer_of) := movie .\n", " domain(written_by) := movie . range(written_by) := writer .\n", "\"\"\"\n", "\n", "theory = parse_theory(theory_str, ensure_closed=True)" ] }, { "cell_type": "markdown", "id": "60a49ffa-fa81-4cca-9430-15740cb4178c", "metadata": {}, "source": [ "Term to normalize modulo the OSF theory:" ] }, { "cell_type": "code", "execution_count": 14, "id": "bb703b30-fb4a-4182-9204-a1ab794493d7", "metadata": {}, "outputs": [ { "data": { "image/png": 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vbx9NvbW1tY8ePdq1a5eFhQWIGujn5xcdHc2Z9pdNaWmpl5cXGo1etmxZvyIReAzylu54gMViXbt27dChQ0JCQkeOHNmyZYuQkFDfzUgk0j///BMXF/f+/fuKigo0Gq2rq2tubm5iYqKlpYXH49XU1OTk5KSkpNBotLS0NJPJbG1tZTKZZDK5vr6+rq6OSCSWl5fn5+fn5ubW19djMBgrK6vp06f/8MMPbm5u/SbkqK2tPXHixPXr1w0NDdXU1NLT01+/fs0ZewsBFhDnjx+am5vPnDkTHBysoqLy008/rV69mjOUdS+IRGJaWlp+fn5eXl5BQQGRSATh/QcBhUIpKytraGhYWFiYmpqam5vb2dlJSkoOtP23b9+Cg4OvXr0qKysbGBjo5+fHYDB8fHzi4uJevHjh6uo6uq+LMCoQ5483CATCyZMnw8LChIWF161bt3XrVn19/aHs2NnZWV1dTSaTW1tbGQxGW1sbaPkxGIyUlJSysrKysvJQ0myxWKzExMTLly9HRkaqqKj4+/tv27ZNVFQUrO3u7vbx8YmNjf3nn39cXFxG/XURRgrctxsIXIFMJl+4cAGEsjYxMQkICPj69Su3K83LywsICNDT04MgyNraOjQ0tLu7u+9m4KUdCQmJlJQUbktCGAikzR/P0On0uLi4Bw8ePHv2rK2tzdLS0t3d3c3NzdnZeZAbgWFRXV0d/y9VVVX6+vo+Pj7Lli0zMzMbZC8Gg+Hr6xsTExMbG8uZLBiBZyDOnxA8ePBg9+7dCxcuTEpKys/Px2KxhoaGFhYWkydPNjc319bWVldXl5KS+u5x6urqampqysrKsrOzc3JysrOzCQSCsLCwvb29u7v7jz/+OPSYud3d3YsWLUpJSYmPj+dN9j4EThDnj38oFIqJiYmnp+ft27eBe5OSkrKysnJzc3NycggEAthMQkJCU1NTVFRUSkoKg8HIysrS6XQKhUKj0To7O1taWqqrq7u7u0HyHwMDA3DhsLGxcXR0BCkAh0tXV9ePP/5YVFSUkpKiq6s71t8bYTAQ549//P39w8LCioqK+s3A3draSiAQCARCTU0NkUjs6upqa2uj0+lkMhmLxUpKSoqIiIiKisrKyqqpqWloaKiqqmpqagoLC4+JNgqF4urq2t7e/uHDBySjFi9BnD/OycnJsba2/uuvv9avXw+3lv5pbGx0dHSUk5OLj49HUujyDMT54xkmkzlt2jQsFvv+/XsUCgW3nAEpKipycnJydnZ+9OgRBoOBW86EAMmuNZ65evXqp0+fQNAbuLUMhpGRUWRkZHR09NGjR+HWMlFA2vxxS11dnbGx8ZYtW06fPg23liERHh6+evXqiIiIZcuWwa1l/IM4f9zi6+v74cOHgoICAbp53rNnz7Vr15KSkqytreHWMs5BnD8+efPmzcyZM6OioubOnQu3lmFAp9O9vLwqKyszMjKQoX6ugjh/HEKj0SZPnmxmZvb48WO4tQybpqYma2trKyurZ8+e8fnwhECDjPCNQ06cOFFTU3PhwgW4hYwEBQWFu3fv/vPPP1evXoVby3gGcf54o6Sk5Pfffz9+/Li6ujrcWkaIk5PTkSNH9u3bl52dDbeWcQvS2x9veHh4NDU1ZWZmYrFYuLWMHDqd7ubmRiKRMjIy2G/4IowhSJs/rggLC0tISAgJCRFo24NXA8LDwwkEwv/+9z+4tYxPkDZ//NDS0mJsbLxkyZLg4GC4tYwNV65c2b17d3p6OvIy35iDOH/8sHHjxn/++aewsFBGRgZuLWMDk8l0cXGh0WgfP35EZvWOLUhvf5yQlpZ269atCxcujBvbQxCERqNv3LiRm5t78eJFuLWMN5A2fzxAp9NtbGyUlZVjYmLg1jL2BAYG/vHHH6WlpcrKynBrGT8gbf544I8//igqKrp06RLcQrjCwYMHZWRkkKG+sQVxvsBTVVV1/Pjxo0ePGhoawq2FK4iKigYGBl67dq2goABuLeMHpLcv8MyfP7+oqCgnJ2es4uTwIUwm09raWkdH5+nTp3BrGScgbb5g8/Tp0xcvXly9enUc2x4M9Z06derZs2cZGRlwaxknIG2+ANPZ2Wlqauri4nLnzh24tfACe3t7TU3Nhw8fwi1kPIC0+QLM0aNH29razp49C7cQHuHv7//06dOvX7/CLWQ8gDhfUMnNzQ0ODv7tt9+UlJTg1sIjvL29tbW1BfQdRH4D6e0LJEwm08nJiclkfvjwAY2eQJfvS5cu/fzzz1VVVXJycnBrEWwm0I9mPPHXX39lZGSEhIRMKNtDELRu3TohIaGQkBC4hQg8E+t3Mz6or68/evTovn37Jk+eDLcWXiMhIbFx48bg4GCQ7QdhxCC9fcFj+fLlKSkp+fn5Y5UVU7AgEAh6enrXrl1bs2YN3FoEGMT5AkZCQoK7u3tkZKRghdYcWzZs2BAXF1dcXCwkJAS3FkEFcb4gAUJrmpqaPnnyZDTHYTKZmZmZ1tbWPB4mSEhIAD32oafc7ZfKykpDQ8OLFy9u2bJl7NRNLJD7fEHi1KlTRCLx/PnzozzOtWvXbG1tr1y5Mka6hgqTydy+ffuGDRtGeRxtbe3t27cfPXq0ubl5jKRNOBDnCwylpaVnz549fvy4trb2KA/l5OQ0d+5cZ2dndklJSQnnBr0Wxwp3d3c8Hj8mhzp27JiIiMjhw4fH5GgTERaCgODh4WFhYdHd3T3mR66trTU1NR1ocWzx8PCwtLQck0NFRESg0egPHz6MydEmGoIdp3Hi8Pfff7979y45ORmHw4GSxMRE9hjN1KlTe6XQysvLa2pqgiCIRCLJysricLhp06ZBEFRcXCwiIlJRUQFB0KRJk9TU1KhU6rFjx0gkUkJCgqio6OTJkzkX7ezswAHLy8ubmpomTZokKysLQVBZWRmRSASH7e7uzs3NlZGR0dPTG8p3weFwPT09paWlFArF1NQUPKH4/Plza2sr2MDCwkJOTi4jI6Ojo4Ots+9xfH19b968uWPHjrS0NEGPOMp7kN6+AEAikfbv379lyxYHBwd2IZVKXbZs2apVq9rb20GMus7OztzcXLAWi8U+e/bst99+w2KxFy5c8PT0jImJsbKyMjIyqq6uLi0tdXNze/bsGQRBt2/ffvfuXWdn5+vXr5OSknotQhDU0NDg7Oy8ePHiiIiIyZMn79q1i8ViodHoixcvurm5HT161N7efs6cOfr6+gcOHBjK1yESiTNnzty2bZu3t7eioiIYtqDT6Zs2bfL09Kyvrwc2RqPRZ8+evX///iCu/vPPPwsLC0+dOjUWp3mCAXenA+H7bNq0SVlZuaWlpVf5nj170Gh0bW0tWLx+/bq8vDz7dmDdunWvX79msVhHjhyBICg4ODgnJ2fbtm2FhYUEAgGCoMuXL4MtFy9erKenxz5sr8X58+dramp2dHSwWKz09HQIgh4/fsw+LIlEYrFYDAZj4cKFGAyGQqEM/l08PDwmT54MPjMYjHXr1kEQFB8fz2KxwCXgxYsX7I1NTU1ramoGP+ClS5ewWGxqauoQTiTC/4G0+fxOenr6jRs3goKCQDebk5UrVzKZTPZbq6Ghoc3NzS9fvgRN6MePHz09Pdkbr1+/3tzc/I8//tDX1x967WQy+cWLFwsWLBATEwO3FdLS0pGRkewNREREQPvs5eXFYDBqamqGfnA0Gn38+HEIgu7evQtB0OrVq4WEhEJDQ8HaT58+aWtrf3dEcMeOHV5eXitWrGhvbx961QiI8/kaOp2+efNmDw8PX1/fvmutra2NjY3v378PQdDXr1/FxcXl5eWBc969e+fu7t43UrWwsPCwbolLS0uZTGZXV1fCv4iKilZVVfXdEhyWyWQO6wuqqqpKSkqCF28VFBQWLFjw4sULEokELgegRzA4KBTq+vXrZDJ5//79w6p6goM4n68JCgoqLCy8fPnyQBusWrXq48eP3759Cw0N3bhx4/Lly1+9etXc3Pz48eN+LxbDBUyPr6mpYTt/8+bNK1euHP2R2WCxWPZQ5YYNG2g02v379xkMRnx8/BDnKaqqqoaEhFy7dg2MXCAMBWRElH+pqqr63//+9/PPPw8SWnPFihVHjhyJiIh4+fLl0aNHdXR0Ll++fPfu3c+fP//111+j16CoqAie/x86dGj0R+sLjUYjk8mamppg0dPTU0dHJzQ0VE9Pz8PDg/0g47ssXrx4/fr169evt7a2Zh8NYRCQNp9/2blzJx6PH3zAXFNT09nZ+bfffrO3txcSEpoyZYqFhUVgYKC7u/vQk8+j0WgGg9Hvor6+vpKS0ps3b0b3VQYkJiaGxWLNnj0bLKJQqHXr1qWlpR07dmzt2rXDOtTFixeVlZVXrlzJ+V0QBgJxPp/y/PnzqKioq1evgiG0QVi5cmVra6ufnx9YXLNmDYlEGlZXX0dHh0AgREREREdHt7a2ci5SKJTjx4+/e/du1apVr1+/fv/+/aNHj7Kyskbz1ahUanV1NZlMTkxM3LVr16xZs5YsWcJeu3btWgwG093dbW5uPqzDiomJ3bt3Lz09ffSzmycCmMDAQLg1IPSms7Nz3rx5c+fO3bdv33c31tPTKy8v37NnD1jU19evqqrasWMHWHzx4kVsbKySktLnz5+lpaU1NTXfvHlz9epVSUnJxsbGqqoqR0dHS0vLhoaG9PT0np6e6dOn29raci46ODg4OTnl5+e/efOmsLBQXFzc3d09KSnp9evXSkpKeXl5U6ZMSUtLe/z4sby8/NevX21sbAZ5fRisjYiIuHPnzufPn9euXQsmHbA3kJKSSktL8/HxmTp16nDPm4qKChqNDgwMXLRoEbhPQRgI5F09fmT//v23bt0qKiqaODH2OHFwcIiOjh5ZgkA6ne7g4IDFYpOTk5EknIOAjPDxHbm5uZcuXQoODhZE23d2doLZPv2ipKRkYmLS76qysjIw0eDly5dTp04dcV5QLBZ78+bNqVOnXr58md0PQugL0ubzFyC0JoPB+PjxoyDG2CMSiYO8M+/s7DzQgOXOnTvt7OxwONypU6diY2NH2VcPCAgICgr6+vUr0ucfCMT5/MVff/21c+fOjIwMS0tLuLXwlIiIiIiICHl5+aNHj06aNGmUR+vq6po0adLSpUv/+OOPMRI43kCcz0fU19cbGxtv2LBh4iTP4B5Xrlzx9/cvKirS0dGBWws/gjifj1i5cmVSUtKEDa05tvT09JiYmEyfPv3WrVtwa+FHBO9OcrySmJgYERFx+fJlxPZjAg6HCwwMDAsL+/btG9xa+BGkzecLaDSapaWlkZERMvN8DKHT6dra2qtXr0Ze4O8L0ubzBadPn66qqgoKCoJbyLgCi8WuX7/+1q1bdDodbi18B+J8+CktLf3tt9/GJLQmQi/8/Pzq6+tBtG8ETpDePvzMmDGjvr4+MzNz6K+mIQwda2trGxsbJBVfL5A2n6e0traePHmSMydceHh4fHx8SEgIYnsusWDBglevXsGtgu9AnM9T0tPTjx49ampqmpiYCC4EBw4c2Lx5M2doTYSxxc3NjUgklpWVwS2Ev0Dm7fOUjx8/4nC4iooKV1fX1atXo1AoJpN58uRJuHWNZ2xtbcXFxRMSEoYVgHDcgzifpyQnJ9PpdDC2cu/ePTqdvnLlSmlpabh1jWeEhIQsLS0/f/4MtxD+Aunt8w4WiwWCQ4PFnp4eFosVHh7u6OiYl5cHt7rxjLm5OTsTAQIAcT7vKC4uplAovQpZLFZmZqalpeXPP//c1dUFk7Rxjrm5OXJt7QXifN6Rmpra74u3oP8fFhYGgk8jjDna2tokEqnvZXcigzifd3z8+LHfKDFYLNbW1jYzM9PMzAwOXeMfkJZvWFlAxj2I83lHYmJiT09Pr0IUCrV27dr3798rKyvDpGv8A5xfXV0NtxA+Ahnb5xEUCqW0tJSzBIPBoFCoq1evbtiwAT5dEwKQmIydqxcBcT7vSEtL48w8hcPhJCQknj175uLiAquuCQEGgxEWFkYS73GC9PZ5RGpqqj+DPZ8AACAASURBVJCQEPiMxWKNjIy+fPmC2J5niIuLd3R0wK2Cj0CczyNSUlLATT4KhfL29k5LS0OSQPESERERKpUKtwo+AnE+L2CxWB8/fmSxWGg0Oigo6N69e6KionCLmljQ6fRhJREe9yDngheUlZW1trbKyMg8efLE3d0dbjkTEcT5vUDOBS9ITU21sLB4/vw5EgcWLnp6epD3oDmZoM4HyZtbW1spFEpHR0d3d3dbWxuDwSCRSHQ6nUKh0Gi0zs5OCILAWs59wZacJZKSkr3aE/AYCYvFSkpKCgsLV1ZW7tq169OnTyUlJRgMRlZWVlhYWFpaWkZGRlJSkldfekJDpVK/m5t0QjHenN/S0lJfX9/Y2FhfX19fX9/Q0NDY2NjS0tLa2gqsTiaTyWTyQIM9srKyGAxGSkpKSEhIXFwcgiBhYWExMTHObcTExISFhTlLqqqqOBfBtQO0M+3t7VQqtaurq+8VBIBGo2X+i7S0tJycHB6PV1RUVFJSAh8UFRWRJmvEUCiUnp4eOTk5uIXwEYLnfDqdXlNTU1VVVVVVRSQSCQTCt2/fqqurgeHZ7kKhUEpKSsAzcnJy6urqZmZmoJkF7gIfJCQkJCQkcDiclJQUDxIwUigUOp1OJpPZnQ5yH+rq6vLy8urq6hobGzmvUAoKCuBCoK6urqWlpfEvWlpa4CKFMBAkEondEUMA8LXzOzo6Sv9LZWVlXV0d6GzjcDhVVVUNDQ1NTU0PDw/QNiorK6uoqADD82EqVdC3H/pPsK2trba2trGxsaGhAXyorq4mEokZGRlVVVXsqSlycnIaGhp6enqT/sXQ0BCZDswGOB9p8znhowicLS0tOTk5ubm5eXl5wOdEIhFMwNLS0po0aZKBgQFo60Cjh8fjBTHn5BhCIpGIROK3b98IBAKBQCgrKwPnDUxZkZKSAlcBY2Njc3PzyZMn6+jooFAouFXDQHx8vIeHR2Njo4KCAtxa+AXYnM9kMgsLC7Ozs3NycoDhgc/l5eUtLCwMDAzAr9bAwEBXV5c9+w1hKFRXV3N2lPLy8srLy5lMpqSkpJmZGbgKmJubW1lZTZB8Prdv396+fXtHR8fEvPD1C0+d39bWlp6enpycnJmZ+eHDh5aWFiwWa2BgYGpqamJiYm1tbWpqOmHbJa7S3d1dWlqamZlZUFCQn5+fnp7e0NCAwWAMDQ2tra2tra2dnJysrKzGax/q2LFj9+7dKyoqglsIH8F15xMIhLi4uPj4+NTU1NLSUhQKZWBgYG9vb2dn5+DgYGpqigxZw0JVVVVGRsbHjx9TU1OzsrK6urpkZGTs7e2nT5/u4eFhY2PDh6MkI2bDhg1VVVVv3ryBWwgfwRXnt7S0vHv3Li4uLi4urqSkRERExNHR0cnJyc7Ozt7eHhlo4Td6enq+fPmSmpqampr67t272tpaGRkZV1dXDw8PDw8PY2NjuAWOlpkzZ2poaNy4cQNuIXzEWDq/oqLi6dOnT58+TU1NRaFQU6ZM8fDw8PT0dHR0RKapCxAFBQWxsbFxcXEJCQltbW0aGhoLFy5ctGiRk5OTgHYEdHV1N2zY8PPPP8MthI8YA+cXFhYCw2dlZcnKys6dO3f+/Plubm7I41NBh06nf/r06dWrV0+fPs3Pz1dSUpo/f/6iRYs8PDwE6B6tq6tLQkLi0aNHixYtglsLP8EaKZ2dnQ8fPvT09AQD8qtWrYqKiqLRaCM+IAI/U15efuHChWnTpqFQKFlZ2U2bNuXm5sItakh8+fIFgqD8/Hy4hfAXI3F+Wlraxo0bJSUlRUREVqxYER8fz2AwuKANgR+prKwMDAzU1NREoVCurq53797t6uqCW9Rg3Lt3D4vFUqlUuIXwF8NzflJSEmjkjYyMzpw509jYyDVhCHwNg8F4+/btkiVLcDickpLSmTNnOjs74RbVP4GBgQYGBnCr4DuG6vyEhARXV1cIgjw8PBITE7msCkFgqKmp2bt3r5iYGB6Pv3DhAh/6f9GiRQsXLoRbBd/x/ZkbNTU18+fPd3V1xWAwSUlJsbGxzs7OPBmCQBAA8Hj8+fPny8vLfX19f/75Z0NDw+joaLhF/YesrCxra2u4VfAfg1wVmEzmzZs3ZWRkJk2aFB8fz8PrEYJAUldXt3z5cgiC/Pz8mpub4ZbDYrFYLS0tKBTq1atXcAvhOwZ0PolEmjVrFgaD2b9/Px924RD4lqioKFVVVRUVlffv38OthfX27VsIgmpra+EWwnf0/5YukUicMWNGe3t7SkqKnZ0dVzsdra2tnBmOhYWFHRwcIAj6/PkzOzWCmZkZ51tWNBqNSCTq6ekNty46nZ6cnAzeY5syZcoYfQNeQ6FQKisrzc3N4RbSP3Pnzp0+ffqGDRs8PT1DQ0OXLVsGo5isrCxwGepVzv4lYLFYJycnfjirfSX1C5lMBs8p1dXV9fX1R15f34tBQ0ODoaGhmZlZdXU1D649JBLp9u3bIKXcvHnzoqOjQXlSUtLy5cu1tbWvX79eX1/P3j49Pd3ExGT37t0jqAuMSE+aNMnOzm7svgGv8fHxgSAoJycHbiGDwWQy/f39sVjs06dPYZTh4+MzZ86cvuUMBiMuLs7d3V1aWpq9Jbxnta+kfqFQKJGRkWg0emQWYNPb+QwGY+bMmdra2jU1NaM57nDJysrCYrGqqqpkMhmUkEgkXV3dDx8+sLehUqmHDx8GL5aO5mtPmzZNoJ3/4MEDHx+ftrY2sMhkMktLS+EW1T9btmyRkJAoKiqCS4CGhsaJEycGWrt582a2zXqd1dEzsv8Lp6RBwGAwo3R+77H9iIiIuLi4hw8f4vH4kXckho+VldW+fftqamoOHjwISrZs2eLn5wd6/oCoqCgDA4Py8nJeCuNDli5dev/+fXbozufPn585cwZuUf1z8eJFQ0PDHTt2wFJ7dXU1gUBwdHQcaAPO98F7ndXRM7L/y9BfUR/ly+y97/PPnDmzatWqqVOnjuagIyMwMPDp06fXrl1buXJlWVkZkUi8e/cu5wZLliwBQVS/e6iurq6ioiIrK6uBNgAvore1tRUWFmppafW6DywrK2toaFBUVJw0aRIoSU1NpVKpioqKpqamDAajoKCgo6OjVwn7FvG7u3/8+JFOp4NVOBxu2rRpveQlJyeDDUgkkqysLGctwsLCIBv01KlTxcXFm5ubT506paSklJCQgMfjDQ0NQdST/Px8BoNhaGgI3pXqq583N7RCQkLnz593dXXNyMjg/Y8qOTkZi8X2rbekpKS5uVlZWZmd6bCkpITzrA50uvqeWDYgLJKQkJCamhoejx/i/2UQSd8Fh8NRKJSSkhIsFmtqaorFYlksVmJiInsDZ2dnBoORkpICFsFX+7/9OTsAINlrUlLSaHoRo+Hdu3coFEpPT09dXb2ysrLfbbq6ur7b2/f19QWRWPpdO23aNGNj43Xr1hkbG8vIyOBwuPv374NVOTk5pqambm5ue/futbW1NTEx+fLlC4vFSk5OnjRpkpeX16VLl/B4vLKyct+Soe8uISFx/fp1CIJmzJjBPtvV1dVVVVXgc1JSkpub24EDB549e9arlq9fv27fvh2CoNzcXBqNduTIEVFRUQsLi4MHDz558gQk89HS0po9e/bWrVvl5eVDQ0P71T+6f9Tw0NfXP3LkCC9rBOzevdva2pqzJCcnx8TExMrKyt/ff9OmTXp6eqBrzXlWBzpd/Z5Y8EbDtGnTJk+evHfv3nXr1snLy1+5cmWI/5dBJA0OBoOZPHmyo6Pj9OnTZWRk8Hj827dvWSzW48ePMRjMpEmTXr9+zWQy6XR6TEyMpqbmX3/91WuS9X+c//LlSzDIORanfYRs3LgRgqD169cPtMFQnP/48eO5c+cWFhb2u3batGlTpkyh0+ngvSNTU1MLCwswjqCpqenr6ws2o9Pps2bN0tDQAFO+p02bpqam9vDhw+Li4lmzZvUtGe7ulpaWJiYmbFUrVqyYO3cue9HU1BQMefTd8e+//2b/Rlkslry8PPt0dXZ2qqioeHt7g8WzZ88KCwsTicR+j8MzvL29ly5dyssaAVOnTt2xYwd7saurS1NT09nZubu7G5Rw3lT3Oqu9TtdAJ7anp8fIyMjR0ZH9rtqdO3euX78+xP/L4JIGgfM+v6WlxcrKSlpamkQisVisuXPnCgkJsedTVFdXm5mZ9T3Cf+7zwZ0DvDE5lZSUIAgKCwvLyckZ8UEWL14cFRVlZGQ00AY4HA68ai4qKurg4EAgECAIev36dVVV1cqVK8E2GAxm48aNBAKBPSlNXV19yZIlBgYGjx496lsy3N1XrlxZUFAAviaFQnn27Nnr168bGxvBE01DQ0NpaemB6h2It2/fsqfTgD4FjUaLiYkZ7nHGFhaLxfsIax0dHdnZ2ZzjRK9evaqqqtq+ffsQXzHmPF0DndiYmJiioqLt27ezQ0XOmjXL1ta216EG2n24kvpFVlZ2//79ra2t//zzDwhA1N3dfe/ePbA2IiLCz8+v717/cb6BgQEEQeBpISwkJSU9evTo9u3bPT0969ev75XKhktgMBhwc5WbmwtBkLa2NnsVeF6an5/fa5e+8e3FxcWHu/vy5csxGMz9+/chCHr48OGCBQt6enoiIiIgCHr8+DG4Yfluvb0oLi4GE1cSEhISEhLAYq9EIEM5ztjy5csX9pAHz0hOTu7u7ubMU56dnQ1BELjlHhbi4uIDnVhgFmAcgJKSkoWFRa8jDLT7iCX1AjRyX79+hSBo9uzZqqqqoaGhYNXDhw9XrVrVd5f/OF9PT8/MzOzWrVuj1DEyyGTy2rVrw8LC1qxZs3Dhwk+fPgUFBfFSAI1GA/Mo2CXgQg7Kx3x3PB7v4eEBnH/37t0//vjD3Nw8LCwMgqA3b97Mnj17BF8BJBopKCgAv7DCwsKAgIBBpoXwgISEhK9fv86fP5/H9b57987Y2FhNTY1dAoKRj2z0fqATC8abvxvCeKDdRyOJE/CrA711DAazZs2ajIyMwsLCgoICNTW1fjMv9B7bP3TokJ+f35YtW7g9da8vmzdvXrNmDaj3zz//fPfu3a+//rpw4cIRzNUbGeBBJplMZpc0NzdDENR3BthY7b5y5crVq1dHRESIi4srKyuvWbNm37599+/fNzExGVn8MkVFRXBYe3v7Eew+5nR3d+/du9fLy8vGxobHVcfHx/dKWwwCQNbX1+vq6g73aAOd2JKSEvD4cJBby0F2T09PH7EkTurq6iAI0tTUBIvr168/ffp0aGgoGo1eu3Ztv7v0fp6/fPlyLy8vHx8f8JCDZ9y+fbu2tvbw4cNgEY/H//77711dXWDAb7h0dXVlZWUNdy8QeiAjI4NdAmZTenh4cGn3RYsWiYuLb9u2bfXq1eCXgcVit23b1m9XfyDQaDT7tgg8u2bf2MMLi8XauXNnWVlZcHAwj6smk8lZWVlubm6cheDkgJvh4TLQifXy8kKhUKDj1ouh/F9GI4mT169fY7HYmTNngkVdXV13d/fw8PD4+Pgff/yx/336Dvo1NjYaGxubmJgQCIQhDKCOAaWlpf0+xgPX7GvXrnEWDmVsHwyl3Lx5s9+1vebwcY6m7tmzB4/HJyUldXZ2RkdHy8rK+vv797tXvyXD2h2wYsUKGRkZdsSYefPmKSoq9vT0DFJLr1FoW1tbTU3NN2/egInPvr6+QkJCAQEBIPzxnTt3wNxnHs9cZDAYu3btwuFwkZGRPKuUzbNnz9BodK/IMUwm093dHYfDHT9+PD4+/tGjRzY2NoOM7fc6XQOdWBDY09fX9/Hjx+/fv3/+/Dl4wDaU/8vgkgYBg8GsXr26oaGhoaEhNDRUWFj41KlTnBuAi9H+/fsHPEJgYGCva4GYmNjChQvDw8MvX75sb2/P7kJwidOnT1+9elVGRiY7O9vS0lJGRgaU79ixg0wmq6ur5+fnJyUlOTs7v3nz5vz587du3cLj8Y2NjdHR0R8+fHBwcOiV2RbQ1dW1YcMGeXn5XuXnz58nEokgs7WLi0toaGhGRoa8vHxRUZGnp+cPP/ygoaERFhZ28+bNioqKAwcO+Pv7c+6Vm5sLRt37lkAQNPTd2XoUFBQ0NDTYrZOCgoK2tjY7AkLfHa9evfr27VsFBYWioiImk2lsbGxlZVVWVvb582c5OTkbG5sFCxaoqamlpqbGxsZWVVXp6enZ2toGBQUNJIAbtLS0+Pr6PnjwIDw8HJa4l1evXqVSqXv37uUsRKFQS5YsERcXT0lJ+fLli5KSkr29fVNTU2FhYUlJCedZffXqVd/T1e+JRaPRHh4eU6dOLSkpeffuXW5uLp1O9/T0lJaWHsr/BY1GDyTJw8NjkAci06dPb2pqunv37t27dxsbG0+ePNmrV29gYPDnn38GBweDG41+GOiS0NraOnfuXDQa7e/v39HR8d2LEAIC4NmzZyoqKqqqqsnJyXBpMDY2HqS5mwjU1ta6uroOssF3om6Hhob6+/vLy8uHhIT0Gi9BQOhFXV2dv7///fv316xZExQUxO6+8ZjKykodHZ3Y2NghDtDwITU1NWDssF8MDAxUVVX7XVVWVgaeJf/0008ODg6DdLi+k0Xbz8/Py8tr69atHh4e7u7uAQEBSCguhL7U1taePXs2JCREUVExOjr6hx9+gFHM69evxcXF4X2WOUqys7P//PPPgdZu3759IOfv3LnT398/Ozs7Nzf3999/H6yOIXYeEhMTQZvv5uaGROZCYEMkEnfv3i0qKqqqqnrx4kV+CN80f/78efPmwa0CHn7++eeZM2fu27fvu3Pwhxd1Ozk5ec6cOWDW0ZkzZxoaGkanE0FQ4duo293d3VJSUn/++SfcQvidkWTa+PTp0+bNm6WkpISFhX19fWNjY8HbLwgTgfLy8l9//VVdXR2FQrm7u9+7d4+vkljEx8eD2124hfA7I8+u1dXV1Te7Fl/9CBDGkK9fv7KzaykrK+/atSsvLw9uUf1w4MABJK/GUBiDjJrFxcUgo2ZmZqa0tPTs2bPnz5/v7u7e91k6gmBBp9PT0tJARs2ioiIVFZX58+cvXrzY1dWVbzNqmpmZeXp6XrhwAW4h/M5YZtH+9u3bs2fPnj59CoLnWVlZgSzaTk5OSBZtASIvLy8uLi42NjYxMZFCoWhra4Ms2o6OjiCWEd/y9etXfX39+Pj4XvN2Efoyls5nQyaTExISQA72oqIiERERBwcHJycnOzs7Ozs7zvjZCPxAd3f3ly9fUlNTU1NT3717V1dXJysr6+bmBi7cnK+g8jnnz58/depUfX095xuTCP3CFedzQiQS4+Li4uPjU1NTweSESZMm2dvbg6uAhYUFO6QBAi+pqKhIT09PS0tLS0vLysqiUqmysrL29vbTp0/39PScMmUKiFwiWLi4uGhqaoIZ+AiDw3Xnc9LW1paTk5OSkpKcnPzx48fm5mYsFqupqWliYmJtbW1qampiYmJiYsL7+C3jHhCqMT8/PzMzs6CgIDs7u7GxEYPBGBoaWltbOzk5gdiEfN6ZH5yWlhZlZeWIiAgQqRVhcHjqfE5YLFZxcXF2dnZOTk5OTk5ubu63b99AaCELC4tJ/6Xfd3IQ+oXFYhEIhFIO8vPzKyoqWCyWlJSUubm5hYXF5MmTzc3NLS0txcTE4NY7ZoSFhW3cuLGxsVFKSgpuLQIAbM7vC5lMzs3NzcnJycvLAz9Z8JowGo3W0NAAlwAtLS0NDQ1NTU0tLS08Hj/Bb+eamppAsOdv374RCISvX7+C8wYCxYBUqJMmTTIxMTE3Nzc3N9fR0YFbMhfx9vZub29//fo13EIEAz5yfl+oVCpn21VWVvbt27fq6uqenh4QdQiPx2tpaWlqaqqqqqqqqioqKioqKuLxePCBb588DZ2Wlpb6+vrGxsb6+nrwAWSPAG7v7OwEmykpKWloaOjq6gKrGxgYTJo0acDXM8cjVCpVSUnp9OnTIHg2wnfha+f3C5PJrK2tBa0coLKysqampq6urrGxkTPonYKCgpKSkqKioqysrMy/SEtLc36WlpYWERERFRUVFxfnwVgjiURiMBhtbW1UKpX8L62trezPJBKJTCY3NTU1NDQ0NjaC+G3g3XL2dY3d69HQ0ACfkYemUVFRCxYsqKqqUldXh1uLYCB4zh+c1tZWcAloaGioq6sD/iGRSGx3gQ8g8mFfJCUlsVisjIwMBoNhh6+QlpbmHPoSFhbmvD0GTuY8CIVCARlyurq6qFRqR0dHd3d3W1tbv6GEcTgc+2IEZkNqaGjIy8srKysrKioqKyurqKgAzwviYDvP8PPzKysrY+eTQfgu4835Q6SnpwdcAlpbW2k0WmdnZ2dnJ41GA/5kt8ygiwGSeX/69AkkTgJO5jyarKws56KoqKiIiAj7GgF6E1JSUhgMRlZWFovFSkpKioqKAsNzBsCuq6vT09Pz8PD45ZdfYElwJqD09PSoqKgcOXKkVxAehMGAe/qwwCAtLR0SEsLtWnbu3An+L+7u7gkJCdyubnwAcpmUl5fDLUSQEODnt7wE9A60tLS4XdFPP/0EHlgkJia6urra2tq+evVqYvbLhs6TJ09sbGzG95OLMQdx/pAAcw24HYwUgiANDY01a9bgcDgwKJCVlTV79mwTE5OwsDDeZBwSOBgMRmRk5OLFi+EWImAgzh8SIEEVD5wPQdDhw4fZJgcfSkpK1qxZo6Ojc/HixSEm/Jk4JCYmNjY2Lly4EG4hAgbi/CFRVVWloKDAm3R0urq6vr6+nJMRmEwmiHu1d+9e4H/2k3yEJ0+eWFhYjD413UQDcf6QaGhoGGKOrTHhyJEj4LkgJyBXRF1d3b59+7S0tNgpeicydDr9yZMnyET9EYA4f0i0tLSArGy8wdjYeNGiRf3OQQQZqY2MjDizxE5YYmNj6+vrfXx84BYieCDOHxItLS08DjH0yy+/9G32wcwfGxub6Ojo8fSyzYiJiIiwt7fnfYrucQDi/CHB4zYfgqDJkyfPmjWrV7OPwWCsra3fvn373bTNEwEqlRoZGQlyKCIMF8T5Q4L3zocgKCAgALybBMBisQwGw9vbG7E9IDIysrOzc+nSpXALEUgQ5w8JMpnM7SyUfbG1tXVzcwMTe3A4nLW1dUBAwIEDB54+fcpjJfxJRESEp6ensrIy3EIEkgn9fvvQ6e7uhiU6SGBgoIuLC2cnv7m5eeXKlXFxcQ4ODrzXwz+QSKSYmJjr16/DLURQQZw/JHp6emCJAuLs7Ozg4MBkMt+8eQM6+RcuXCAQCPPmzfvw4cNEHtl6+PAhCoWaP38+3EIEFaS3PyTodDpc8X+uXr369u1bSUlJsIjBYCIiIvT19WfNmtXQ0ACLJH4gIiJi/vz5SOCtEYM4f0jQ6XS4Xo+fPHky2/YAMTGxqKgoFAo1d+7ciTmZj0AgJCcnI6P6owFx/pCAsc3vF0VFxaioqLKysnXr1k3AN/nu3bsnLS09c+ZMuIUIMIjzhwSYOQe3iv9gbGz8+PHjJ0+enDt3Dm4tvCYiImLp0qVIRObRgDh/SIiLiw8UwAtG3Nzcfvvtt0OHDk2ogLOFhYXZ2dlIV3+UIM4fEpKSkhQKBW4V/bB3796lS5euWrUKRBCYCISHh2toaDg5OcEtRLBBnD8k+Nb5EATduHEDj8cvW7aMc8LfeIXFYt27d8/X11eg0wHxA8jpGxL87HxxcfEnT57k5eX9+uuvcGvhOh8+fKioqEC6+qMHcf6Q4GfngySlQUFBZ8+effv2LdxauEtERISxsfHkyZPhFiLwIM4fErKysiQSCW4Vg7FhwwZvb28/P7+mpia4tXALOp3++PHjlStXwi1kPIA4f0hoampWVlbCreI7hISEYLHYXbt2wS2EW8TExDQ2Nvr6+sItZDyAOH9I6Ojo8L/zZWRkQkJC7t279+zZM7i1cIXbt2+7uLgg0bXHBMT5Q0JbW7ujo6OxsRFuId9h1qxZq1ev3r59O5/fm4yA5ubmf/75Z+3atXALGScgzh8SoJ2pqKiAW8j3uXjxIhqN3rdvH9xCxpiwsDBhYWFvb2+4hYwTEOcPCQ0NDSwWy/8dftDnv3r16p07d8bZxL7Q0NBly5Yh0QfHCsT5QwKLxWpraxcVFcEtZEjMnTvX29t727ZtVCoVbi1jQ0ZGRnZ2NtLVH0MQ5w8VS0vLrKwsuFUMlUuXLjU3N4+bl3lu375taGhob28Pt5DxA+L8oTJlyhQBcr6KisqhQ4dOnTo1DubzU6nU+/fvb9iwAW4h4wrE+UNl6tSpBAKhuroabiFDZd++fRoaGgcPHoRbyGh58uQJhUJBJvCMLYjzh4qjo6OQkFBiYiJnYW1traWl5bJlyw4cOGBlZbVz504Gg/H333+jUCh7e/vp06c7ODiIiIhMnTq1trYW7PLgwQM8Hr9ixYpdu3bp6OjMnTuXRCK1t7dfvXoVhUL99ddfEAS1tbVFRkaKiIjs2LGj31rAoa5fvy4vL79x48bFixfr6OhkZmZyahMSEjp//vyDBw8SEhJ6fRcGg+Hr6+vk5HTo0KE5c+aYm5tDEPTx40c8Hm9gYODi4uLi4iInJ4fH45OSksAuubm5ZmZm7u7u+/bts7OzMzU1zc7OBrNrZGVlly1bBl6niY2NtbS0NDMzG6gWCIJSU1O1tbXnzJmzbds2BQWFsLCwwc/8rVu35syZw8vsZhMCFsKQcXR03LhxI2fJjh073N3dwWcSiXTkyBEWiwVMHhQUBMqzs7PFxMSWL1/OYrFycnKwWGxISAhY1djYqKqqumTJEhaLVVpaCqLusQ8uLi6+ffv2gWrJzMxEo9HBwcGg/McffzQ3Nwe5NzkB5XQ6nbPw8ePHoqKiVCoVLG7btg18MDQ0nD9/Pvjc0tJibm6ura3d3d1NpVI1NTV9fX3BKjqdPmvWLA0NDXAENTU1Hx8f9sFnz55tamo6UC2dnZ0qKire3t6g8OzZs8LCwkQiLdbhzwAAH1NJREFUcaBzXlFRgUajIyMjh/D/QRgGSJs/DDw8PGJiYjijX7W0tFRWVpLJZPA47cSJE333srCw8Pb2vn//fltb261btxgMxooVK8AqBQUFb2/vJ0+eNDc3D1Jvv7WEh4czmUz2W2szZszIzc3tO+MgKCioqKgoNDS01wFpNFphYSFY/PPPP/tWKisr6+/vX1lZ+ebNm9evX1dVVbH72xgMZuPGjQQCYfCsnv3W8vbt27q6Ok7ZNBotJiZmoIPcvn1bUVFx1qxZg1SEMAIQ5w+DuXPnVlVVffnyhV2yatWqyspKfX19f39/zvJeGBkZMZnMysrK3NzcXtm49fX1mUzm4M8L+62luLgYh8NlZ2cnJCQkJCTU19eDbN+99jUwMFi/fv2vv/7a1dXFLvzxxx/l5eXt7Ox8fX2jo6MHiuRnZGQEQdDXr19zc3PBREZO2RAE5efnDyK731qKi4vB/QuQDRb7ygYwmczQ0FA/P79+k4sijAbE+cPAxsZGTU0tKiqKXfLDDz8kJyfPmjXr1q1bVlZWAQEB/e4oKioKQVBXVxeNRusVyVNISAiCIBqNNki9/dbS3d0tJCSU8C/CwsIBAQHq6up9d//111/JZPKVK1fYJWpqahkZGTt27EhJSfnxxx+9vLz6jerBKRtMahiW7H5r6e7uhiCooKAAyC4sLAwICBgowE5sbOy3b9/WrFkzSC0IIwTu2w0BY9euXQYGBn3LKRTKwoULUShUQ0NDr/t8Fot1+PBhCILq6uqWLFkiKirKuePJkydB4znIfX6/tfj6+oqIiPS9se+Xw4cPy8rKtrS09CpnMBinT5+GIOjx48e97vNZLBbohN+/fx901NPS0tirUlJSQAd+kPv8fmsJCQkBo4lDkb1s2TJHR8ehbIkwXJA2f3isXr26pKQkNTUVLIIfNARBEhISwKX9BvAAI97KysozZszo6uri7CQnJyerq6sbGRmBW4B+37TptxZHR0cqlfr+/fuhyD5w4AAKhQoKCgKLoaGh4PKERqP379+PQqFaW1v7lS0qKurs7Ozp6Qkm0nHKBgMfIChQv7L7rcXR0RE8EfiuZjKZHBkZiczb4xZwX3oEDzMzM/YI/+zZs8+fP9/a2tra2rp27Vpra2smkwl+7gEBARQKpa2t7dSpUzgcLjY2lsVi0Wg0W1tbJyenr1+/tra2BgUF4XC4J0+esFgsJpOpra2toqISEhISFhZ24sQJISEh4PN+a6FQKAYGBng8/tq1a+/fv3/9+vWtW7cGkf3bb79JSEjU1dWxWKzff/99+fLlRCKRRqP99ddf0tLSVVVVoM2fMWNGc3MzjUaLioqSkJA4duwY2H3Pnj3gIV9nZ2d0dDQY/wOrVq9ejcFgjh8/HhERce7cOQMDA9DmD1SLr6+vkJBQQEDAu3fv4uLi7ty5U19f31fw5cuXxcXFW1tbufA/RGChJmCehlFy5cqV/fv3V1VVKSgovHz58vnz5zU1NUJCQlZWVjt27JCTk6urq8Pj8a6urkpKSmQyWUtLa/PmzdbW1mD3zs7OkJCQhIQEKpWqp6e3bt06GxsbsConJ+fMmTMUCsXBwcHPz2/Pnj09PT0rV64UFRXtWwvoIFy5ciUtLY3JZOrq6i5evNjFxWUg2V1dXbq6uqtWrTp79mxeXt6NGzcqKirodLqent62bdvAYJ6RkRGLxbK1tW1oaJCTk/P29l68eDH7CA8fPnz27FlTU5OKisqCBQvYq5qbmwMDA8vKykxMTFauXPnq1auEhAQ3N7d58+b1WwuDwbhz505MTExra6uGhoabm9uyZcv6pjCytra2sLC4ffs2F/6HCEibP3w6Ojrk5eWPHz8+0Aagzb948SJvdX2f33//XVxcvKGhYaANDA0NFy5cyFtR/ZOTkwNBUGJiItxCxi3Iff6wERMT27Rp0+XLl9vb2wfZjMlk8lDUkNi6dauYmNilS5cG2YZPZN+4cUNHR2f69OlwCxm3IM4fCT/99FNPTw97wExQEBcX371796VLl/g8Yk93d3dERMT69ev5LaPZeAJx/kgA41vnz5/vG5+rsbHxxIkTLi4uycnJx48fh0nggOzcuRODwQQHB/dddezYMQ0Nje7u7oMHD7LfMoCFyMhIEonk5+cHo4ZxDzLCN0La29uNjY1dXV3//vtvuLUMj4CAgODg4G/fvklISMCtpX/c3NwkJCRevHgBt5DxDNLmjxAJCYmQkJDw8PB//vkHbi3DY9euXTQa7ebNm3AL6Z/8/PzExMRxHDucT0Da/FHh4+OTlpaWl5fHt+1nv+zYsePly5elpaW9phLzA5s2bUpKSiooKEBu8rkK0uaPikuXLrW1tQ00XZ9v2bdvH4FA4MOw/DU1NX///ffu3bsR23MbpM0fLbdu3dq0aVNCQoJg5XVetGgRkUhMT0+HW8h/8Pf3f/DgQXl5uYiICNxaxjtwTygQeJhM5rx581RVVWtra+HWMgzAxPvk5GS4hfwf9fX1YmJinG86IXAPpM0fAygUip2dnYyMTEJCAnh9VSCwt7dXU1N78uQJ3EL+P1u3bo2KiiotLUWC6vMA5D5/DJCUlHz48GFOTo5ghbvcvXt3VFQUgUCApfZeTU5BQcGNGzdOnz6N2J5HwN3pGD9ERESgUKiIiAi4hQyV7u5uVVVVENWPx1RXVzs4OJSXl7NLZs6caWVlxWAweC9mYoI4fyzZs2ePiIhIfHw83EKGyi+//KKoqMgOkskzQHwOSUlJEBEEzIlA3s/hJYjzxxIGg7Fs2TJJScmMjAy4tQyJ6upqHA539+5dHtc7e/ZsDAYDHt2tWbPG2NiYHY0XgTcgI3xjTE9Pz4IFC9LT0xMTE01MTOCW8328vb3r6urAUD9voFKpMjIy7Bh+GAyGxWI9f/587ty5PNOAgIzwjTE4HO7x48cmJiZeXl59c++ePn2631iXMLJ9+/aUlBSQNoM3xMfHc4buZDAYKBRq4cKFgYGBfPKO8IQA7k7H+KS1tXXKlClaWlrFxcXswlu3bkEQdPToUVil9YOhoeHu3bt5Vt327dv7ffaJQqE8PT0Fa1qE4II4n1u0tLQ4ODgoKytnZWWxWKzCwkIwLw2NRqempsKt7j+cOHFCXl6eZ+N8qqqqgzRFNjY23d3dvFEykUGcz0Xa29tnzpwpISERHR1tZmYG0kVgMBhNTU0KhQK3uv+DSCRiMBgQCJTbgDBbA7F48eLm5mYeyEBAnM9dqFSqt7c3FotFo/9vSAWLxe7YsQNuaf/By8trzpw5PKjo9OnTfRPm4HA4cXHxsLAwHghAACDO5zqRkZH93tOChFN8wr1797BYbE1NDbcrsre37/UeHhqNdnFxIRAI3K4agRPE+dyFQCBIS0tzNvjsn7uSklLfpDdw0dXVJSsre/bsWa7W0tzczBldG4vF4nC4M2fOIFP3eA/yVI+L0Ol0b2/vzs7Ovg+rmEwmiUTin8gzIiIiy5Yt43agHs7snRgMRldXNz09/eDBg32vjAjcBjnjXOTYsWNpaWkDPcDv6ekJDw/nn/AYa9euLS4uTktL414VL1++RKFQaDQahULt3bs3JyfH0tKSe9UhDALifC5iYGAwf/58kJG23yfYaDR63bp1DQ0NcKjrzdSpU7ma04bBYLx8+ZLBYCgrK8fHx589e1ZYWJhLdSF8H7hvN8Y/XV1db9++3bVrl7KyMgRBvX7uOBxu9uzZcGv8/5w7d05aWrqjo4MbBwfJP1esWEEmk7lxfIRhgczb5x0sFiszM/PFixePHz8uKCjAYrFMJhMMAdy+fXvMs8TTaLS2tjYKhUIikeh0OoVCAX8ZDEZbWxuTyWxtbQV/wfYkEqmrq+vZs2deXl4KCgogFR+VSu11WElJyV5xO3E4HAhAisFgpKSkwF80Gi0tLY1CoWRkZMDf0NBQXV1dPz+/foc8EXgM4nx4qKqqevHixdOnT9+/f0+n0yUkJPLy8rS0tAbfi0ajNTU1NTc3NzY2NjY2Nv0LmUwGeXuBz8EHzrnxnAAfgnwh7L8gjnivJ+1YLFZSUpKzhMVikcnkXgdkXyB6enra29vBX3CVGeiLiIuLS0lJSUlJSUpKysjISEtLS0pKysrKysvLKykpKfyLvLy8goICcpngBojzYaatre3169dRUVFUKvXhw4dkMrmmpqa6urq2tpZIJNbV1REIhIaGhvr6+qamJk4vYTAYtjdkZWUlJSUlJSWlpKQ4P0tKSkpLS0tLS2OxWHYLzMtvx9nLoNFo4PJEJpPBtQksguzg4JrV1NTU0NDA7oaA6xT4joqKimpqaioqKhoaGioqKurq6ng8Xk1NDYnhMzIQ58NDTU1NRUVFeXk5+FteXk4kEmtra9m9a1FRUTU1NTwer66urqKioqSkpKioqMCBvLw83F+CW/T09ICuTVNTE7t309jYCE4RkUisr6+n0+lgYxkZGVVVVU1NTR0dHV1dXfZfHl/jBA7E+Vynrq6usLCwqKiosLCQbXXgcCEhIW1tbfBjVVNTY7djqqqq7E44Ql+YTGZ9fX1NTQ27f1RZWVlRUVFRUVFdXQ1+0nJycuDE6unpGRsbGxsbGxkZ9bp5mcggzh9jqqqq8vPz8/PzgdULCwtB4loZGRkjIyN9fX3OpklNTQ25iR1baDRaZWUl+wpbUVFRVlZWXFwMRj00NTWNjIyM/8XCwmLCdg0Q54+WmpqazH/JyMior68Hw2YmJiampqa6urrgg46ODpI3BkZqamoKCgry8/MLCgrKy8uzs7NBHmQ8Hm/9L7a2tuDJ60QAcf6wIZFIHz58SE5OTk9Pz8rKIpPJGAzGyMhoypQpU6ZMsba2Njc3n7AtiQBBIBCys7OzsrKysrIyMzOJRCLoFEyZMsXBwcHJycnGxkaAsif8v/bONKipq43jJyF5EaIEJEQiYZcaQcEAEiAoKkINaMeijAOjU+uGVp2KtVrHGbV2ik5t69QOVUQHxbpU3KpM0EIhmEWqiCwNS9g0hLCGkFiSAFneD+f1Tt4gFBUJhPv7cCd3O89zlf+555x7zvO8KajyR4REInn48CGfz+dyuUKh0GAw0Gi0sLAwqPaAgAB0hHmi09HRgdQCAoGgra3NxsZmwYIFixYtYjKZ4eHhdnZ25vZxNEGVPyRqtbqwsJDNZufm5jY2NuLx+KCgICaTuXDhQiaTCee6oFgqdXV1PB6Py+Xy+XyRSGRlZRUcHBwbGxsbGxsYGGgBozOo8k1paGhgs9lsNruoqEij0cyfPz82NjYqKorBYKAv9slJe3s7l8v9448/cnNzJRIJmUxmsVgsFismJmbifoJBlf8/pFJpdnZ2dnY2n88nEAhLlixZuXJlbGwslUo1t2so44jGxsZ79+7l5OQ8fPhQp9MtWbJk/fr18fHxcP7yBGKyK1+hUNy8efPy5cscDsfOzi4+Pj4xMTEyMnJwxCgUFGPkcnlOTs6VK1fy8/NtbGxWrVqVlJQUHR1tHHpkPDN5ld/U1JSenn7mzBmNRhMdHZ2QkLBmzRq0PY/ypnR3d9+4cSMrK0sgELi7u2/bti05OXkCfNwx92JBM8Dj8eLj47FYrIeHx8mTJ+Vyubk9QrEERCLRrl27pk6dSiQS9+7d++LFC3N7NByTS/lCoXDZsmUAAAaDcf36da1Wa26PUCwNuVx+/PhxKpWKx+N37949bt8rk0X5PT09KSkp8Msch8MxtzsoFk5/f//Zs2ednJzIZPK5c+fGYYjRSaH8u3fvzpgxw8nJ6ezZs+Pw/wDFUpHL5Z9//jkOh2MwGA0NDeZ25/+w8BE+mCI+NTV1w4YNP/7449iMuygUimfPniG71tbWYWFhAIBnz54hK8/nzp2LzAWSSqVisdjd3Z1Cobyjaa1WC7Pi2tnZBQYGjuSWly9fPn/+fN68eQCA4uJiuIgwJCTE1tbWZPcdXcLhcBERESYWJwNCoXD9+vVNTU1Xr15dvny5ud15hbmrnveIXq/funUrHo8/f/78WNqVy+WZmZlz584FAHz00UdIRg0ul5uUlOTh4ZGRkdHe3g4z8CQlJTEYjH379vn5+a1fv/4dU8rpdLq8vDwfHx8GgzHCW9auXQsAqKioMBgMjx8/3rJlCwCgurp68O5bu/Tnn38uXbqUSCQOtjhJUKvVn3zyCR6Pv379url9+R+WrPyjR4/i8fjff//dLNZLS0txONzMmTORgJNyudzLy0sgECDX7N27l0aj9fX1wfS7FArlq6++egtber2+rq4O2WUymSNX/m+//bZ27VqlUgl3MzIyjKVusvvWJCcnI8o3sfjumDz++ESv1+/atcva2prP55vbF4MlK7+kpASLxaalpZnRh/379wMAkpOT4e7atWu//vpr5Gxvb6+tre2RI0eQI3v27CEQCCqV6k0N3bp1a9OmTcjuGynfhPek/G3btiHKH3VMHn/cotPpVqxY4eXlpVarze2L5ebYOXToEJPJ3L59uxl9OHLkiI+Pz9mzZ3k83oULFyQSycGDB5GzPB5PpVLBTgEkKCiot7cX9opNUKvVxmMHxshkstTU1NbWVg6HU1tbCw/CJSVKpfKvv/5qa2uDB4uLizkcjlAohNHvKysrRSIRh8PhcDi9vb0jfCi9Xl9ZWVlWVqZWq4cqFrlYJBI9evSosbERyTJkYnGoewdbQWhubhYIBCUlJa2trUM9PgCgvr5eIBDU1dUhR4bxc2zAYrHp6ekdHR3nzp0bY9OvwdxVz3tBJpPhcLjx0KcqLCzEYDDe3t5UKvX58+fGp3766ScAAJfLNb4YAHDq1KnB5SQmJsLg3CbH+/r6Dh48aGNj4+/vv3//fpgJm8lkzpkzZ+PGjXPmzLG3t8fj8deuXYNTmHx8fGJiYk6dOkWhUGbMmNHQ0LBjxw4AQGVlJSxw+Hf+o0eP3N3d4+Litm/f7ujoePHixdcWC7Nl+/r60un0lJSUrVu3ent7w3e+icXX3vtaKwaDobGxkclkBgQE7NmzZ+PGjY6Ojr/88svgx6+oqPDz81uyZMmePXtCQkJ8fX3LysqGsjX2bNiwISIiwiymjbFM5RcXFwMAxskkKjhINrg5evjwYQBASUkJcuTx48ewpTC4kBs3bqxcuXKoVrejo6NJaz8wMBDOU1KpVH5+fv7+/sgpFxeX69ev19bWslgsg8Fw6dKlESpfpVI5OzuvWbMGnoJJciQSyeBi1Wq1m5vbokWLkAFL436+iUWTe4eyMjAwQKPRwsPD4bCIwWC4cOFCRkaGyeNrNBo3N7fExES4q9VqWSyWq6urRqN57eOPPadPn54+fbpZTBtjma19GPdqnHywJJPJAICsrKyKigrj4zB6rPFKb7jY47V5+FavXn337l0ajTZCo3g8HpZmY2MTFhbW3NyMnKJSqQkJCR988EF2dvYbPUheXl5bW1tSUhLcjY6O7uvre/DgweBi2Wy2WCzesWPHCBc+Gd87lJUHDx7U1NTs2LEDiZPDYrFCQkJMirp//75YLF63bh3ctbKy2rJlS3Nzc25u7js+/igyHuKyWabyfXx8cDjce00OOUK4XG52dnZmZubAwMCmTZt0Oh1yikAgAAD6+/uRI/Dj+aiv97SyshqczBdxYOTAXjTsUSOdarFYPLjY8vJyAMDs2bPf1FUCgTCUlbKyMpiqELmYTCb7+/ublAB77x4eHsiRWbNmwY/qg229qXujQnFxsa+vr1lMG4MbwTUTDwcHhw8//PDUqVMJCQlmrF97eno+/fTTy5cvMxiMu3fv3r59++TJk3v37oVn3dzc4GJP5HqZTIYcH4fASqqqqgpJAXr48GE4OccEOHr3diGuh7JSVFQ0kmoRxtg1zv8F2whDZRwaY1paWm7cuPHdd9+Z2xELVT4A4JtvvlmwYEFaWtrOnTvN5UNycvKGDRsYDAYAIC0trbCw8NChQx9//LG3tzfMXQsXCyPXi0QiAEBwcLC5HB4eJycnAMC6detCQ0OHv3L69OkwlI2Xl9doWYH/OC0tLcN3eeA8SOMUYLA+dXZ2flNPRh04tYxCoWzatMncvlhoax8AQKfTjx49mpKScufOHbM4kJmZ2draeuDAAbhLoVBOnDihVqvhgB9suAYGBnI4HOSW+/fvBwYGGjdoEdRqdWlp6VC2sFiscT/iPREeHg4AQDr2/3plTk7OKFqJiYnBYDDXrl0bfIvx48O1mE+ePEHOwq+kUVFRb+HMKGIwGHbt2lVQUHDp0qXxkD7cYt/5AIADBw5IJJKEhIS0tLStW7eOpen6+vpDhw7xeDzjCC2bN2++evVqQUFBRkYG1P/PP/8cExNz586duLi4rKwsPp9fUFDw2gI3b9585cqV8+fPb9y4cfBZT0/PgoKCvLw8nU73/maGz507NzExMTU11WAwLF68WK/XNzc3s1gsOIRpTGRk5NKlS0+cOGFjY8NkMmUy2dOnT9/RyqxZsw4cOJCamtrb27t69Woymdzd3U0gEJYtW2by+Lt37/72228DAgKCgoKKioqOHz+ekpLyFoMOowis8bOzs69cufKvLaaxwerIkSPm9uF9gcFgYmNjdTrdvn37GhoaIiMjbWxsxsDusWPHTp8+bW9vX15ePn/+fGSZ0M6dO3t6eqhUqlAo5HK5ixYt8vHxiYuL+/XXX9PT09Vq9blz54ZZZqNWqzdv3vzadHp0Or2+vv7Zs2fTp08vKiqSSCTW1tbPnz+PjIy8ePHikydPHB0da2pqysvL4anKysrZs2cTicTTp0/n5eWRSKSamhq9Xp+fn8/hcEgkUnV1NRzMN96l0WirVq1ycXEpLi7Oz88Xi8Xe3t4hISEnT540KRaDwSQkJBAIBD6fX1ZWRiaTQ0NDu7q6qqurRSKRsUU2m21yLwDgtVawWGxUVNSCBQtEIlFhYWFlZaVWq122bBmRSDR+/ODg4OXLl7u6umZlZZ0/f76pqWnfvn0pKSkAgB9++GGwrTGgoqIiLi7u6dOnt27dWrly5dgY/XfM/VlxLGCz2RQKxdHR8cyZM2g0DpQxo7u7e+fOnTgcLjw8vKmpydzu/B+TQvlwPcwXX3yBx+PpdHphYaG53UGxcPr6+tLT00kkkrOzc2Zmpl6vN7dHpkwW5UOqq6tjYmLggvNr164NDAyY2yMUS0Mmkx07dszFxQWPx6ekpCArNccbk0v5EIFAsGbNGisrKzc3t++//767u9vcHqFYAjU1NZ999hmBQLC3t//yyy/FYrG5PRoOC4/JMwww6jYcWoNRt1evXm2ueV0oExeZTHbz5k0YddvDwyM5OXlCRN2evMqHKJXK27dvX758uaCggEAgwEwbixcvtuAkqiijQnd3971794z/cpKSkpYuXYpm2phgGNfcNjY24eHhK1asiI+Pd3V1NbdrKOMIoVCYk5OTn59fVFSEwWBiYmImaGsRVb4pTU1Nubm5bDa7sLBQpVIFBASwWKyoqKjQ0NAJlzsNZVSQSqVIRs3W1lZnZ2eYUTM6Onr8t+qHAlX+kGg0mqKiIphFu66uDofD0en0iIgImEV78MQ1FEuitrYWZtHm8XgNDQ04HC4kJCQ2NpbFYtHp9PGwzPYdQZU/ImCtD/8UKisr9Xo9jUYLDQ0NCgqi0+nz58+fcI09FBPa29tLS0tLS0ufPn0qEAja29ttbW0ZDMbChQsjIiLCwsIsrMWHKv+NUSgUfD6fx+M9fvy4tLRULpdbWVnB5TcQf39/uFgNZdxiMBhevHhRXl5e+gqpVAoAcHd3DwwMDA8PZzKZwcHBFpxSGVX+uyKVSp++oqSkBIa7dHBw8PLy8vX19fPzg1tPT08LaCJOULRarVgsbmxsFAqFVVVVQqGwoqLi5cuXcA1l0CsYDMbk6cShyh9lWlpa/v7776qqqpqamurq6qqqKrg+nEgk0mg0b29vz1d4eXlRqVTjGBIo745arW5qampsbGx6RX19vUgk6u/vx2Aw7u7uNBrNz8+PRqPNmTNn3rx5dnZ25nbZPKDKf+90dnYKhcKampra2tqGhgb4d6lSqWC0PFdXV6QWoFKpzs7Orq6uFAoFyb2FMhidTtfW1iaRSNra2pqbm1tbW1+8eAF1DkNxAwBIJJKXl5enp6e3t7evry+NRqPRaOhwDAKqfPPQ3t5u8mpqaWlpbm6GNQIAYMqUKTNnzpw5cyaVSoUVAZlMJpFIjo6OJBIJ/jCO3mlJ9PX1yWSyrq6urq6ujo4O+LuzsxOKvKWlpb29HQnFQSKRKBSKu7s70pKCP94uFtjkAVX++EKpVEokEqlUKpVKkXdaW1sb1IBSqUSuxGAwSC1AJBLt7OymTZvm4OAAfyBbBweHadOm4XA4IpGIxWLt7OzGcpKZRqNRq9V9fX0qlUqtVr98+VKpVCoUCoVCoVQqlUql8RGFQtHR0dHV1QV74BAsFovUd66urkibyMXFBdaMU6ZMGbPHsSRQ5U8k+vv74QtQJpN1dnZ2dnbC34iQenp6lK8YnJ0GAeof1ghwCzVmEqwCg8GYzFTRarXGsoQNb6Q+UqvVUOoajQb+GMYBhGnTptnb2xOJRCKR6OTk5OTkBHWObNGR0fcBqnyLRavVwrpAoVDo9XoY5BcuGoVbeBxuYRsb6WtABgYG/vnnH5NiHRwcTI7A1gTMF25rawu3//nPfwgEAtzi8fipU6daW1tDqU/ceW+WBKp8FJTJiGUOEaGgoAwPqnwUlMkIqnwUlMnIfwFQ+YWygq8PfQAAAABJRU5ErkJggg==", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "term_str = \"\"\"\n", "X(directed_by -> X0:thrillerdirector(spouse -> X1),\n", " written_by -> X1:horrorwriter(spouse -> X0) )\n", "\"\"\"\n", "term = parse_term(term_str)\n", "display(term)" ] }, { "cell_type": "markdown", "id": "56f80275-c1dd-4720-a200-677ddfaf6b99", "metadata": {}, "source": [ "Because `X` must be a `thriller` and also a `horror` according to the theory, then it must be of sort `glb(thriller, horror)`:" ] }, { "cell_type": "code", "execution_count": 15, "id": "cf930cc5-a5c5-4a61-8bda-60613f549d39", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "FrozenDisjunctiveSort(Sort('psych_horror'), Sort('psych_thriller'))" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tax.glb(thriller, horror)" ] }, { "cell_type": "markdown", "id": "7e5b8c78-80c7-46d0-ba05-b0cdd937bb45", "metadata": {}, "source": [ "Theory normalization will take this disjunction into account, and return a disjunctive term:" ] }, { "cell_type": "code", "execution_count": 16, "id": "d9624dc7-b75b-46d2-ae00-226c5181e9a7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "T0 : {\n", " X : psych_horror(\n", " directed_by -> X0 : thrillerdirector(\n", " spouse -> X1 : horrorwriter(\n", " spouse -> X0\n", " writer_of -> X\n", " )\n", " director_of -> X\n", " )\n", " written_by -> X1\n", " )\n", " ;\n", " X : psych_thriller(\n", " directed_by -> X0 : thrillerdirector(\n", " spouse -> X1 : horrorwriter(\n", " spouse -> X0\n", " writer_of -> X\n", " )\n", " director_of -> X\n", " )\n", " written_by -> X1\n", " )\n", "}\n", "Satisfaction degree: 0.5\n" ] } ], "source": [ "from fosf.reasoning import normalize_term\n", "normal_term, alpha = normalize_term(term, theory.taxonomy, theory, return_degree=True)\n", "print(normal_term.prettify() + f\"Satisfaction degree: {alpha}\")" ] }, { "cell_type": "markdown", "id": "717eb317-0d92-4685-a578-26b35d768a9f", "metadata": {}, "source": [ "Translating this term to SPARQL yields a union: " ] }, { "cell_type": "code", "execution_count": 17, "id": "a2747b36-7c82-438e-902d-f204b7e98baf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "prefix : \n", "SELECT DISTINCT ?T0 WHERE {\n", " {\n", " ?X rdf:type :psych_horror .\n", " ?X :directed_by ?X0 .\n", " ?X0 rdf:type :thrillerdirector .\n", " ?X0 :spouse ?X1 .\n", " ?X1 rdf:type :horrorwriter .\n", " ?X1 :spouse ?X0 .\n", " ?X1 :writer_of ?X .\n", " ?X0 :director_of ?X .\n", " ?X :written_by ?X1 .\n", " BIND(?X AS ?T0)\n", " }\n", " UNION\n", " {\n", " ?X rdf:type :psych_thriller .\n", " ?X :directed_by ?X0 .\n", " ?X0 rdf:type :thrillerdirector .\n", " ?X0 :spouse ?X1 .\n", " ?X1 rdf:type :horrorwriter .\n", " ?X1 :spouse ?X0 .\n", " ?X1 :writer_of ?X .\n", " ?X0 :director_of ?X .\n", " ?X :written_by ?X1 .\n", " BIND(?X AS ?T0)\n", " }\n", "}\n" ] } ], "source": [ "print(normal_term.to_sparql())" ] }, { "cell_type": "markdown", "id": "0c4ac83d-2b9c-4e97-afd1-b2240cd9c0aa", "metadata": {}, "source": [ "However, since the two disjunct share a majority of constriants, the term can be simplified:" ] }, { "cell_type": "code", "execution_count": 18, "id": "4e51c1c2-bbc4-4a15-9d09-e49ac989555f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X : { psych_horror, psych_thriller }(\n", " directed_by -> X0 : thrillerdirector(\n", " director_of -> X\n", " spouse -> X1 : horrorwriter(\n", " spouse -> X0\n", " writer_of -> X\n", " )\n", " )\n", " written_by -> X1\n", ")\n", "\n" ] } ], "source": [ "from fosf.utils.terms import simplify_disjunctive_term\n", "simplified = simplify_disjunctive_term(normal_term)\n", "simplified.pretty_print()" ] }, { "cell_type": "code", "execution_count": 19, "id": "c9e3c7c2-ba62-4fa8-81e3-af0d9810906a", "metadata": {}, "outputs": [ { "data": { "image/png": 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mTQ8PDywWu3r1avjNevfunZOTk5OTU25ubtNcnaKDUql01KhRNBrt7du3IEUgEEyaNAmNRq9YsYLL5XbGSTuV6upqMzMzIyMj0G1bqVTm5uba2dmBeXrbzYEDB8C0EVoys52EhIS042VuX64eRvtuQmNjY3x8fPsKycrKOnToEPzpPXbsmKrwqe12kF27dqFQKNidpUPIZLIjR44QicQBAwYUFRWBxNra2uDgYAcHh8rKSrXjO2Vo7datW1NTU2/fvu3j4wPqpePGjUtJSUlKSvrzzz87Prdz12Npafnnn3+KRKJFixYBL+z06dP379/fwUZ9RUUFWONce5bq0QGOHTsGes62A09PzyVLlnTNoHgymaxUKisrK7vgXNoFg8EsWrQoMzPTwMAgPDy8uLgYrK4RHx9vbGw8ffp0teO13/JnsVh//vnn5s2b/f39QcqOHTtevXqVmprq5eWl9dN1GV9//fXff/99//79EydO5OXlDRw4cMKECRqOz8vLu3v37vz58zXoftNV2NU4evQoaJ7Y2tq+evVKJBINHz4cvo0CgeD69etlZWUkEsnLyyskJGTr1q1g4mssFrt+/XqpVLp7926ZTIZCob777jtzc/O6uro7d+6UlZWBSeUiIiKA3xaDwchksgcPHrx//75v374TJ05szQwfGnIxmczExMSamhoqlTp69GjQz+vgwYMsFsvNzW3q1Kk5OTlpaWlSqVQtZfHixa3PDg7WoVunUChu3bq1a9cuS0vLzZs3+/n5jRs3rqVCml5vnz59nj9/DkHQ0qVLQZz0s3z8+PHevXtyudzf33/IkCFtvY2ga15rTtQN6dOnz8OHDyMiIubNm5eUlIRCoczMzM6cORMUFHT//v0RI0b8/0O1XiO9cOECDoeD479SqZRAIOzatUvrJ+p6ioqKCASCiYmJm5vbZwPc48ePhyDowIEDGo5Zt24dmI6tpQNEIpGzs7OTk9P333//888/R0REoFCov/76S6lU1tXVOTs7r169OjExcdeuXT4+PqD9bmpq6u7uDpsnFAqdnZ2BTyQhIYFIJC5ZsuTWrVtnz54NDAw8duwYaJc5OzvPmzdvwYIF4OH46aefPns3NOT6+++/TUxMtmzZcuvWrVWrVuFwuHPnzsG+MH9//y+//NLGxsba2rppSpuyazCve946qVSamJhIJBJHjhyZmJiYnZ2toZBmr/fgwYMQBGVlZYECNbeLjxw5gsfjd+3adenSJUdHxyVLlrTpNmq3lY0Ur169giDoxYsXcEpoaOjixYtVj9G+Dm7ZssXNzQ3eZTAYEAS9e/dO6ydChF27dkEQNH78+M8emZub+8cff8BxlWb5/vvvDQ0NFQqFhmP69+8Pn06hUIDRh2w2+8SJEyYmJvBh4LVUKpWLFi0CtQCw++7du8jISKVSyeFwSCTSzJkz4Sz//PMP/DKr+qciIyNdXFw+e4Et5aqtrTU2Nt60aZPqZeLx+JqaGpDLzc0NzHW8du3apiltza6Lt87c3Hz+/PmfvZPNXm9cXFwrdbC6uhqHw61Zswb8BDJmZGS0/jaeO3cOzqLTUCiUw4cPw7vffPPN0KFDVQ/QvpfBysqqqqoK3rW1tUWj0QUFBVo/ESKkpaVRKJSbN29eu3ZN85Fubm4rV67UsB62QqF4/PjxsGHDWj/HJAqFmjdvHo/He/DgAR6P5/P5sbGxoHEN97oAG2fPngW758+fnzdvHgRB8fHxXC532rRpcGkjR44ElVY1XF1d4QmHWw+c686dOwKBYNiwYfBP48aNEwqFCQkJYJdIJFpZWQGHSdOUdmRvDd351mkupH3XC0HQ/fv3xWJxVFQU2PX19QXVotYXGx4ejsPhHj161N5L6RbU1tZyuVx7e3s4paqqSm0mF+3rYEhISH19PfzUmpiYxMTE/PLLL6qLwugohw8fFggEYGqc7777Dsy+2z4SEhIGDx5sYWEBv3WtBAyZLCkpGT9+fHBw8Lfffuvg4LBu3brq6mpwQGBgoLe3d1xcHKgEJSQkgE4/+fn5EASpPg1GRkZUKrXZs7SvVynIBSYLUfVegWgSSP8sHcyuge586zqjkLKyMgiCrl27tnnz5s2bN584cQI4Xltfgp2dXXx8/M6dO7/++uu6urqOm4QIa9eupdFoYWFhYLempub+/fvAVQqjfR309PScMGHC6tWrGxoaQMrevXurq6vHjh2rtpagbpGXl7d9+/YzZ874+PisXbu2qqpq1apV7S5t2LBhmzdvfvny5YULF9qUETitwVLrqampt27dCg8P37t3r6+vL7y4yoIFC0pKSlJSUh4/fhwaGqq6FjuCK4R1cGr1js/Mrru3riMMHjx46NChQ4cOHTdu3KNHj0ANt5VIJJJNmza5ublt3ry56zv5dxyFQrF69eq4uLhDhw6B9ZSVSuWKFSvIZPLcuXNVj+yU6Pu+ffu4XO7kyZOFQiGI2iQnJ+fl5fn4+KSlpXXGGTsb0FHmwIEDoDr9888/9+/f/9SpU0lJSe0r0NDQcNSoUZMmTdq8eXObMpaXl0MQ5OzsLBKJMBhMTEzM+fPn7969W1lZGR8fD46ZOXMmHo8/c+bMuXPn4OfexcUFOL/aZ3DrAZNiwpUsuA7i5OTUBdk10P1vnXYBFVgHB4ehKrRpytK7d+++ePHil19+6fjN73rKysqGDx9+4MCBc+fOgc7nEARt3LjxypUrp06dUpvduVN00M7O7tatW+np6eHh4aCLnKenZ2ZmpqenZ1hY2JQpU3TOXbhu3bpBgwaBLg4QBOFwuOPHj6NQqIULF7bU3v/w4cOff/7J5XI1FEuj0dSWeP8s165do9Fow4cP/+uvv96/fw8SBw8ejEKh4MoLmUyeNGnStWvXGAzGwIEDQWJ0dLSJicn+/fvBx6nziI6ONjY2fvjwIZwCOm2NGTNG69nPnTvX+o543efWGRgYdPZ/AYKgqKgoLBZ7+vTpdpdQW1sL1h3Wql2dDp/P37Fjh4eHR2Vl5bNnz4BjVywWz507d8eOHUeOHBk+fLhals4aOejv7//q1atx48YNGDBg+/btixYtsrS0/Oeff65du7ZhwwZ3d/epU6cuX77cz8+vkwzQFlwuF3SVePr0qVKphFtndDp9xIgR9+7dW7FixaZNm+B50GDWrVt38+ZNQ0PD7777TvMpPusMKi0tvX79uomJyb17965du3bx4kU8Hq9UKmfPnr1mzRpLS8u4uDgPD4/o6Gg4y8KFC8+dOwfcWwAzM7O4uLgZM2Z4enqOGTPG0tKyrq4ODJwSi8UymUwsFuNwOLlc3tjYqFAoGhsbNaxQKpFIWsplbm5+7NixRYsW4XA4f3//x48fHz169OTJkxYWFnAuuPCmKa3PzmKxZs2aBYKnnp6eunLrwNtx8+bNDRs2oNHoTZs2tVSIgYGB2s1RKBTAKw0CKQqFor6+vqVdGo22e/fulStXlpWVhYeHKxSKysrKLVu2WFhYqBXbEt1k0Y7WU15efvDgwaNHj6JQqE2bNn3//feg3vfu3buFCxd++PDhxo0bcN1Qlc6dh7WhoeHHH388cuTIiBEjdu7cOWDAANBd7vz583v37s3MzBw8ePDs2bOnTJnSbRdRgseuQxA0b948BwcHsK3Wnl2+fLnasJC8vLzExMQFCxZo6Ee9fv3633//XSqVahjKTqfTLSws5s6dW1NTY2ZmBs89yeVyHz16VFRUJJVK+/btC6YvU81oZ2eXkZGh1tu2trY2ISGByWRSKBQ3N7ewsLDY2FjgHTM2Nl67du25c+dAWACLxW7cuLElq0BfXA25ysrKEhISWCyWtbX16NGjwcIJcC40Gj1nzhwHB4emKaD8Vmbfs2fPqlWrnj59GhwcrCu3Dsw2EhcXh8Viw8LCHj9+3FIhZDJZ7XqPHDkCj+7w8fFhMpmgygZBkJ+fX1lZmeouaL58+vTpwYMHIGAaFham4Z435fjx4wsXLmQwGP3799dwOYgjkUgSEhLOnj0bHx9PpVKXLl26dOlSICk1NTW//vrroUOHwsPDjx49ClwczdAFnXdSU1PBanszZsxQnTExOTl5+vTpeDweh8NNmDAhLi4Onpqwl7Bnzx6w2qGGY/r37//FF1+0teT3799PnTq1Y9bpAHw+v0+fPi31adffug4Cnk/NfWARRCwWJyYmLlq0yNzcHI1GDxs27Pz582KxGPzKYrF++uknExMTGo128uRJzb10u2hefqVSGR8fv3Hjxuzs7MjIyGXLlo0dOxa0MRsaGq5evXrp0iXQTSkiImLkyJGRkZFeXl49fmXhsrIyDw+P9evXr1q1ytDQsNlj6HQ6nU7/559/WlNgQkIC8KN98cUXmzZtgoc2toP09HQ4etCUsWPHBgQEtLtwrZCVlfXjjz8uX768qbsHoL91HaG6unrcuHF2dnaf7SrbxRQXFycnJ4OF67hcrr+//+TJk2fMmAH7pj59+nTw4METJ07gcLi1a9d+//33n12upEvXJ5HL5bdu3dq3b9/jx4/d3d3nzp07c+ZM2AtbX18fHx9/69atR48esVgsc3NzsApBZGRku2f36/4UFRXdunWLw+E0O/+gUCj09PR0cXH5559/WrP0THBwcEREBAhJtbXbrRqZmZkPHjxo6dfhw4d7e3t3pPyOk56e7ujo2FI/Pv2t6whg/kEXF5cpU6aoOQ0QoaqqCixR8ujRo8LCQjweHxISMnbs2C+++AJehEQgEFy7du306dOPHj1ydXVdtmzZ119/DbrLfBZk1qt7+/bt0aNHL168yOfzR40aNW3atJiYGNiPplAo3r9//+jRo+Tk5MePH/N4PBsbm8jIyODg4ICAAG9vbxwO1/U269Gjp8tQKBQfPnxIT09/+fLlo0ePcnNzDQwMgoKCIiMjIyIigoODYRGQSqWPHj26fPnylStXRCJRdHT0ggULRo0a1abWJJLrF4tEohs3bsTFxT18+BCNRg8fPnzSpEnR0dGqX3iZTJaeng6Wqnr16hWXyzUwMPDy8oIX8AQTLiJ1CXr06NEWBQUFYK3O169fZ2Rk8Hg8HA7n4+MTHh4eERExZMgQ1ei2QCBISkq6fv36rVu36urqwOKX06dPb6l9oBmE13EHcDic27dvx8fHJyQkCIVCX1/fYcOGjR07dvDgwaqirlQqP3369Pr1a3Cz3r5929jYiMfjfX19/fz8PD093d3dPTw8dLHjux49vQ2BQJCXl5ebm5ubm5uRkZGenl5XV4fFYj08PEAtJzAwcMCAAWqt8qKiogcPHjx8+DAxMZHP57u7u0+ePHn69OlgCv520y10EEYgEDx79uz27ds3btwoKyszNTUNCgoaNmwYmJBD7Y7I5fLc3Fz465GXlwdG8llbW3t4eABN1CujHj3dAVj1cnJywN/i4mKFQmFoaEin0729vUHzztfXV3UsI6CiouLp06cPHz5MS0vLzc0lEAgRERExMTFjxoxp2m+3fXQvHVQlMzMT+AfT0tLYbDaRSAwNDQ0LCwsLCwsICGjWd1taWpqXl5ednQ3/hZXR3d29b9++LiqYmpoicVl69PRwJBJJUVFRQUFBQUFBfn5+fn4+g8FQVT03NzdPT0/w18XFpalfS6lU5uXlPXny5MmTJ48fP66oqMDj8YMGDQoLC4uIiBg8eLDWQzfdVwdhlEplTk5OSkpKamrqkydPqqqqCARCcHBwcHCwv7+/n5+f6kQgasDKyGAw8vPzCwoKmEwmmG3J0tIS1kRYIls5x68ePXpAp7eCJpSVlYFXjEqlgtcK1r5mVQ/A4XAyMjLevHnz8uXL1NTU2tpaExOTkJAQUPUZOHBgSx3LtIIO6KAaHz58AB+KV69effr0SalUWlpa+vn5AU309/eH4+jNIpFIysvLC/8Lg8FobGwEA4dtbW1pNJqNjY2zs7PaRhdepR493QWxWMxkMisqKiorKwsLC1U3wEyuEARRKBRnZ2dnZ2fgiXJ2du7bt6+GyTfB4L83b94A7cvIyCgsLGUTaQ0AACAASURBVIQgyMbGJiAgYMiQIWFhYX5+fl0WAtU9HVSloaHh7du38N38+PGjQqEwNzcHmujn5+fu7u7q6vrZL4lCoSgvLy8oKCgtLS0pKSkvLy8vLy8tLS0rK4NnDzM1NbW3t3dwcLC1tbW3t6fRaNbW1paWlra2tpaWlvquPHp0F7lcXlNTU1NTAwbqVVRUVFRUwC8CPFbPyMjI3t7ezs4OvAh2dnYODg5g8YPPvmJKpbK4uDgvL+/du3fghQVrJ9nZ2cE1GD8/P7XpUbsM3dZBNfh8PrjLwBH7+vVriUSCxWIdHBzgz5S7u7uvr6/m4eWq8Hg8IIjl5eVlZWWlpaXg4aioqIAlEnwPVWXR2tpaddfc3Lw7dEbV0ztRKpVsNrumpqa6urqioqK2traysrKqqgoWvpqaGnjJMDweb21tbWtrC5TOzs7O0dERbLTJa1RRUaEaFcnMzOTz+WD2B/9/CQwM7CaT2fQoHVRDLBYzGIy8vLycnBwGg5GTk5Ofny+VSjEYTJ8+fdzd3d3d3d3c3Oh0urOzczu6HYnFYjabXVlZWVFRweFw1DaYTKbqpFtGRkYUFWxsbGg0GuW/2NjYdNv5JvR0T4RCIfzgqaKaWFtbK5PJ4CwUCgX4ecATCDbgXRqN1tYpb/l8fmFh4cePH+F3jcFgiMViFArl6OhIp9M9PT3pdLqHh4ebm5vmxjJS9GQdbIpMJistLYW/Ubm5uXl5eWACQSMjI+AKVMXd3b1pFL/1NDQ0gM8vm81ms9nwhhqqq3caGxubm5uTSCQSiUQmk0n/Qv4XkgpkMrn1FVs93R+xWMzlcuvr67lcLpfL5XA4qrsAeJfNZqu2SCAIIpFIFhYWFhYW5ubm5ubmZmZmYAMkWv5LRyzkcDiFTQALpYO6nmqXNW9vb13pldG7dLApcrm8tLS0oKBA9f9aUFAA5nHDYrH29vZAE11cXPr06QN8ItbW1lps5zZVRrUnHmyDXbVJW7FYLNBEU1NTPB5vYmJCJBLxeDyBQIA3SCQSHo83NjYmk8l4PB6Px1MoFDweb2RkRCAQOjUM16tQKBRcLlcmk/F4PB6PJxQK+Xx+Q0ODUChsbGyEN7hcrlAoFAgE9fX1QqFQKBRyOByQLhKJ1MpU+xyq7po3QYtRhaqqqvLyciaTWVxcDN4IoHfAQiMjI/ilgCsNLi4uuusl7+062BJ1dXWwLL558+bJkydg/UbQvkCj0dbW1vb29iBmorpBo9E61RXI4/GarR3w+XyhUAjeQIFA0Oz71lKZxsbGOBzOyMgIzIFmbGxsaGhIIBAMDAxMTEwwGAyRSESj0SQSCYVCwdMsEolEsGQHOAwkmpqagrex2UQYzfoLzqXhJjQ2NkokkpZ+BXqklggvqiUSieBb0WwimGYKNPekUik4l1AoFIlE4DCxWCwQCCQSSWNjo1Qq5fP5crlcrWqmCrgVzX6WjI2N8Xg8qNc3bQR0qpNEqVRWVVUxmUzg+AaqB9zfTCYTvr3W1taqSgc2el7fCb0OaqK0tHTTpk3nzp3z8/Pbu3fvoEGDqqqq4GdFdaOqqkpNImk0mq2tLZVKtbS0pNFooElCo9GQaskqlcr6+nqBQCAUCrlcLni9eTyeTCYDL7xAIBCLxU1fePCqg2qO6gsP64WqiOgozao2+DyAinPTzwMWizU1NVX7PFAoFJBCIBDweDyRSDQxMUEqRCYWi2tqaqqqqqqrq0EUuLa2trq6Gg70wWJnZWVla2sL2jpqG7pbxWsTeh1sHg6Hs3379gMHDtja2m7dunXq1KmancdyuVxNIkE3K/Dkqa55aGxsbG1tbWVlBcLKVlZWVCqVRqNZWVkBn46ZmZnuBpdhcQQaqpYIAIqsoRCgxRoOABqk4YCm6gPXXoGWqSXqHEqlsq6urq6uDgSCa2pqwMNWVVVVVVUFNlRvMoFAgJ86Ozu73il2GtDroDpKpTIuLm7NmjVyuXzNmjXLly/XylPC4XCAMjYbXK6pqVF1/KkFl1sKNFtYWOi9ez0M4C5sKfILoxYCBg+MWghYNRas74egGb0O/oesrKylS5c+f/78m2++2bp1a5fF+GUyWU1NDZvNrlMBxEzq/ova8nhEItH0X+CACYBIJJLJZFMVKBQKSNd//zsb4ECor6/n8XgNDQ3Ab1tfXw9vw35eeBccr/o+GhoamjUBbjTAEWFLS0u1VSj1tBW9Dv4PgUCwc+fO7du3e3p6Hjp0CF6zsbshFApVZZHD4cAvEoiZqL1XPB5PKpWqFQJCH8DnBUIWJBIJhJ5BsxG4xohEIlgtSDUR5FVtnMLONdUmp04AN95hFyfcJAfeUiBn4DDgUa2vr5fJZGqJIEzM5XJB8ATkVTsX8CF+9rsFy5yZmZmudDrpAeh1EAKzkM+fP5/P52/btm3hwoU9bF0UkUgElBEWTYFAoPbSqr3J8OstlUrhd771ZwQKC9proAMmiDY0PVJD4LilphyI6jRNbzZMDOraPB4PTFwMhjSAa2z95ah+BtQ+GMB+Pp+vUCjc3d1NTU3Bp8XY2BiugANaOUG8HkTo7TrY2Ni4bt262NjYSZMmxcbGtm8y214CEMemaqJWq6qoqEhISPjiiy8wGAxcM2qppwvcc0UNDVIFi2xTmnbQAQ7fxMTEgQMH0un0z9Zk4cLBxmd78AD4fH5gYGB+fn5AQMDIkSOjoqKCgoL0rltdoqvW2OuOPH/+vF+/fmQy+ciRI0jb0hMoKyubP38+BoP59ddfkbblP4wbN87d3V0qlXbeKd6/fw+EDwgxDoeLiorauXNnenq6XC7vvPPq0Qq9VAelUumPP/6IwWDGjBnDZDKRNkfnYbPZa9euBeEXAwOD6upqpC36D/n5+Tgc7vDhw516lqNHj6p2rkKhUEAZ8Xh8ZGTk77//np6ernkVXT1I0Rt1kMlkDhkyxNjY+NixY0jbovM0Njb+/vvvpqamoL8eFov9+uuvkTaqGZYvX06lUjt7SfKvvvqq2b6fGAwGdFQ0NzefPn16UlJSp5qhp630Oh1MSUmh0Wj9+vXLzMxE2hbdRiqVHjlyxNLSUs0ll56ejrRpzVBXV2dhYbFmzZpOPQuPx3N2dtY8zheLxeqfve5GL9JBhUKxd+9eLBb7xRdfcDgcpM3RYRQKxeXLl52cnNBotGpLEIPBBAcHI21dixw4cACHwxUUFHTqWbKysjR0z+yGzlM9vUgH+Xz++PHjDQ0N9+3bh7Qtus2DBw98fHzASGq1lxyFQl29ehVpA1tEKpW6urrOmTOns0905MiRZkdhGhgYDBgwQCKRdLYBetpKr9BBJpPp7+9PpVLT0tKQtkWHef369dChQ+GQaFNoNFqnxmQ7zunTpzEYzIcPHzr7RDNmzGjqKESj0e/evevsU+tpBz2qw3CzZGdnBwcHc7nctLS0kJAQpM3RYZhM5rNnz9BotOrIVhgsFrt8+fIuW1infcycObNv376///57Z5/o8OHDjo6OqncDjUaj0ejly5czmczOPrueNoO0EHcu9+7dI5FIISEhtbW1SNvSE3j8+DGBQGhW7HA4HIvFQtrAzwOqhB8/fuzsE6k6CrFYrJeXV2Zmpqenp4WFRXx8fGefXU+b6Mk6eP78eSwWO2fOHLFYjLQtPYesrCwqlaomhQYGBosWLULatFYhk8n69es3b968LjgX3KPQwMAgNzdXqVQKBIJFixahUKhly5bpH8vuQ4/VwVOnTmEwmM7uJ9E7+eOPPzAYjJr/S4f6gpw+fRqLxRYWFnbBuaZNmwZB0I4dO1QTz5w5Y2JiEhAQABbg1oM4PVMHjx49ikaj161bh7QhPZD4+HgDA4Nly5a5u7sDKcRgMEOHDkXarjYglUrt7e1XrVrVBedqaGj4+uuvZTKZWjqDwfDx8SESiX///XcXmKFHMz1QBw8dOqQXwU7ixYsXBAJh1qxZCoWCzWYHBgaCBvLNmzeRNq1tbN26lUwm8/l8BG0QCoVLly6FIGjp0qX6NjKy9DQdPHjwIAqF+v3335E2pAeSnZ1tZmYWExMDd47h8/kjRoxwdHTUuakEampqjIyMusPAyitXrpiamoaGhlZVVSFtS++lR+ng5cuX0Wj0b7/9hrQhPZCysjIHB4fg4ODGxkbVdIlE8vTpU+Tsaj+zZs3y9vZG2golaCPT6XRbW9sXL14gbUsvpefo4KNHj3A43DfffIO0IT2Q2tpaOp0+YMCAuro6pG3RGi9evIAgKDU1FWlDlEqlksvljh8/HofDnThxAmlbeiM9RAffv39PJpOnTp2qcw207k9jY2NwcLCzs3NFRQXStmiZwMDAadOmIW3F/1AoFL/88gsKhVq0aJF+7F0X0xN0sLCw0NraOioqSiQSIW1LT0MikYwcOZJKpTIYDKRt0T6HDx82NjZGNlqixqVLlwgEwpAhQ/Tuwq5E58fVCQSCCRMmWFtbX79+Xb8Mm3ZRKBSzZs16/vz53bt3+/fvj7Q52mfSpEkSieTOnTtIG/L/mTJlyrNnz5hMZkBAwOvXr5E2p7eg8zq4dOnS0tLSa9eugaUn9GiRVatW3bhx4+rVq35+fkjb0ilYWFiEh4dfuXIFaUP+g5eX16tXr/r37x8REREfH4+0Ob0DpCukHWLfvn1oNDohIQFpQ3ogmzdvxmAwly9fRtqQzqUbNo0BUql0wYIFWCz26NGjSNvS89FhHXz27JmhoeHWrVuRNqQHcvjwYQiC9u/fj7QhnU5tbS0Wi+22cv/777+Dwcj6hU06FV3Vwerqahsbm5iYGP3zoXWuXr3aq6ZNjoyMnDJlCtJWtMjp06cNDAxmz56tDyJ3Hrqqg1OmTHF0dNRPr691UlJSjIyMvvvuO6QN6Tr2799PJpObDgHuPjx48IBIJEZFRXG5XKRt6ZnopA5ev34dhULdu3cPaUN6GllZWRQK5YsvvujOoqB1cnJyIAjq5mM5MjMzbW1tBwwYUF5ejrQtPRDdixdLpdJVq1bNnj17xIgRSNvSoygvLx8zZoy3t/fFixfBIpO9BHd3d1tb24cPHyJtiCa8vLxSU1OlUmloaCiDwUDanJ6G7ung6dOny8vLN2/ejLQhPQo2mz18+HAymXzjxo1e2A0zMjIyKSkJaSs+g5OTU2pqKo1GCw0NTU9PR9qcHgVKqVQibUMbUCqV/fr1i4qKAgFNVVgsVnZ2NugU5unpCSo4SqXS3t4eIWObMalZiouLi4uLIQgCk7Z3rY0Q6Is+fPjwysrKp0+f0mi0pgfk5+eXl5dDENS3b187Ozuw6ouDg0MP6LNZXl5eWVmZnp6+YsUKDoeDx+ORtugzCIXCiRMnPn/+/M6dO/r1drQG0g3ztpGamtrS1Mf19fXx8fHW1tbjx48HKVZWVubm5l1uoyaTmqW8vHzr1q0QBN24caMLrfsfMpls/PjxFhYWGkbOlZSUHD9+HIKgPXv2KJXK3NxcMBijay3VMgqFYubMmZMmTRo7duzs2bMhCEpJSUHaqFYhFosnTpxobGx8//59pG3pIXTr1cWacv78+QEDBnh5eTX9iUQiRUdHk0gkOGX+/PkKhUKLZ6+vr5dKpVQqtZXHNzWpWWxtbcPDw7VhYJtRKpWLFi168ODBw4cPNYycc3BwiI6Ohnft7e2nTZs2btw4LVpSUlJCo9EMDQ21WKZmrl69euPGDS6XKxKJYmNj7e3t09LSkPpHtAlDQ8NLly7Nnj173LhxV69eVf3X6GkfOuYfTE5OHj9+vIYDVNfP/u2337Zv367Fs//yyy/37t1ra65ml/Tu4JHaYv369XFxcVevXg0ODtZ8pKptJiYmFy5c+Oqrr7Royfjx42tqarRY4GdJTU01MzPDYDAEAmHNmjUhISFPnz7tSgM6AhaLjYuLmz59+sSJE/Vj7zqOLtUHWSzWp0+fBg8erJYulUpzcnIkEomtrS0c6Hz16pVAIDAwMAgJCRGJRGCyOVdXV1tbWx6PV11d3bdvX+Aay87OJpFIffv2VQ2SKpXKDx8+sNlsExMTR0dHMpmcm5t7/PhxExOTlJQUNzc3KysrDdmbNemzGBgY1NTUFBUVmZmZubq6QhDE4XAyMzPBr0Qi0c/Pr7a2FvTzAJfWkfsZGxu7c+fOkydPjh49uqVjGhoa8vLyjIyMYMeZRCJ59uwZBEFUKtXDw6OqqgqELwMDAwkEQmVlJQqFsra2hiCotra2oKDAzs4OuBRhxGJxbm6uUCikUChOTk44HC4uLi4zM/P58+dUKjU4OBgEavh8fl5enlKpdHNzMzU1hSBIw7k00LQcCIIqKyuzs7MlEklKSgoEQf7+/iEhIRs3bpTL5boSK8dgMMePHzc0NJw0adK1a9fGjh2LtEW6DNIN8zYAInpq8xFdvHjRwsJizJgxq1atmjt3rqmpKXDGvXz5MiwsDPgHJRLJjRs3QPVn2bJlxsbGU6dOBcs5mZmZLViwYOLEiX369ElPTwdl3rt3z9HRcdSoUWvXrp04caKhoWFiYuL8+fMhCBo7duy6devevn2rIXtLJmkA+D0jIiIGDRo0cOBAHA4XEBBQUlLC5XI3bdoEqksZGRlKpZLD4Zw/f55CoSQnJ3fkZl68eBGNRu/cubOlAxQKxY8//kgmk2fNmrVixYovv/wS+AelUmlCQgKVSgX+wdraWmDh2bNnx40bh0ajDx06JJPJlixZYmNjs2zZssDAwIiICHj96N27d1Op1FmzZq1evTosLMzOzu7u3bvDhw8HU2asW7eOy+WCU9vY2CxZsmTu3LlmZmbr1q1TKBTNnkvDNbZUTk1NzY8//ujm5kYkEtetW7du3bry8vKMjAwIgrKysjpyV7sehUKxaNEiQ0ND/ZrIHUGXdPDs2bOGhoaqA+kyMzOxWOz69evhlP79+8OiM3/+fDhOIpVKIQgKDw+/f//+mzdv5s6d++bNGzQaffDgQXDAmDFjBgwYoFAoPn78iMfjV69eDZc5Z86cT58+ZWVlQRAUFxcHElvKrtmklgA6CMdJsrKyTE1Nw8PDgVPcwsLC398fPvjChQtLly5t711UwnN3ay7kr7/+giAI7qxeWVkJx0mUSqWLiwscJ3nw4AEEQYsXL37x4sWZM2cOHTq0Z88eWFOEQqG5uTkYoBIXFwdBkOobGxoaqlQqDxw4AEFQWVkZSIyNjcVgMDk5OWA3LS0NhUL99ddfzZ5LwyVoKEepVE6dOtXR0RE+WCKR4HC4s2fPtv12IoxMJps1axYej09KSkLaFl1Fl3Rw9+7ddnZ2qinff/+9Wg1Rsw7Ci9jx+fwVK1ZAEARPNA9e3YKCgtWrV0MQxGQy4TJfv37N4XDUdLCl7JpNagk1HVQqlQsXLoSlAZwrOzsb/BQdHf369eu237//AebunjZtmua5uwcMGECn0+Hdz+pgYmIi2OXz+b6+vl5eXnDe8ePH29vbK5XKgIAAV1dX1bOAiKeaDvr4+AQGBqoe5uXlBdYSaXouDZegoZymOqhUKn19fbtmMU+tI5PJvvrqKxMTk24+KqbbomNxEjT6PwZnZmaSyWTgqmsTBALhw4cPBgYGmZmZKSkpKSkp1dXVEASVlpa+e/eOQCDY2NjABwcEBJDJZLUSWsrebpPUoNPpQFghCAKaeObMGeAkraysDAgIaF+xRUVFI0aM8PX1PX36tNrNVEUul+fk5AAb2gq4tzgcLuVfxGJxRUWFXC7PzMzs16+f6sGgRaxGdnZ2nz59VFP69u0LOus0PZcGS1pfDsDX1/fdu3caL66bgsFg4uLiRowYMWrUKNihrKf16FKcxNDQUCKRqKY0NjbCnu+2IpFIDA0NgZscgiAcDvfLL7/Y2dmJRCITE5N2Z++ISaqAdYFBL3c3N7fBgwefO3du+/btly9fnjVrVvvKZLFYo0ePtrS0/Ozc3UKhUKFQdOTeCgQC+OYEBQUFBQXJZDKpVPrZeyuXy2UyGbh8GENDQ6lUKpfLW2+D5nKaDYZ4e3vfvHmz9afoVmAwmHPnzo0aNWrMmDFpaWlOTk5IW6RL6JIOmpubs9ls1YfYzMwMtBbb0eOESqXK5XKwMo5qOo1Ge/HihVgs1qwULWXviEmqVFVVgY57YHfhwoVz58598ODB5cuXr1692o4CBQLBuHHjpFJpSkpK0+qtGgQCAYfDgUpuO6BSqXZ2dk3HPlKpVCaTqTkvBoOhUqn19fWqiWw2m0qltimS245yfHx82Gx2WVkZgmOQOgIej79169bQoUNHjBiRlpbW8UZJ70GX2sVOTk5SqRQM8AIMHjxYLBa3b4T84MGDRSLRkydP1NJHjRolk8maag1oRcJVkpayd8QkVe7du0en052dncHulClTiETir7/+amFh0Y6xd1KpdNKkSfn5+YmJiZ/taAJ6Cw4aNCgtLU1NR1rJ4MGDX758yeVy1dJHjRr18uVLMIhQFbV7O3z48IyMDHhXLBanp6cPGzasrWa0tRwfHx8UCqWjTWMAiUS6e/cuBEExMTECgQBpc3QHpB2UbYDFYqFQqDt37sAp1dXV1tbW1tbWJ06cSElJOXHihIWFRWviJEqlksfj9evXj0ajHT169MmTJ3fv3j158iSIG4aHh+NwuPXr19+5cyclJeXvv//Oycmpr683MDAYNWrUo0ePXrx40VJ2zSa1BIiTxMbGstns4uLiNWvWGBkZqfWMWbJkiVqwtZUoFIo5c+aYmprCPXtaQ1JSEhaLHTRo0PXr15OSksDIv9bESZRKZUZGhrGxcVBQ0JUrV1JTU2/dugXMLi4uptFoNBpt3759SUlJSUlJx44d4/F4CQkJ4L+TlJT06dOn/Px8c3Pz77//nsViVVRUzJgxw8LCIj8/v9lzaUBDOc3GSZRKpbOz85YtW1p/l7onBQUFlpaW0dHRvWr+tI6A0aGJW4yNjS9evGhsbAx/0gkEwtSpU3k8XkpKyqdPnwYOHEgikWpqajgczu3btwsKCszNzd++fUsgEA4ePGhoaMjn8xkMRnh4OAqFMjQ0nDlzJgqFSk5OTktLY7FYISEhffr0wWAw06dPt7a2fvPmDSiWQqFERESYmpo6OztnZWV9+PDBzc2NTqc3m70lk8Risa+vb0uXRqVSfX1937x5c+7cuevXr5NIpGPHjg0cOFD1GCsrq/j4+NjYWA3xjWZZs2bN8ePHb9y4MWTIkNbncnJyGj58eHFx8ePHj6uqqmbOnPnx40c2m11fX//333+LxWIwcx8Y2EAikUpKSvh8vre3N/AtfPnll9XV1aCXklgsjoqKMjc3B70RUShUWlpaWlpaWVmZh4eHt7e3i4uLXC5/9+5dZWVlcHBw3759p0+fnpGRcejQodu3b7u5uZ08edLR0TE7O/vIkSNq59KAmZlZs+WAoUH5+fkkEunx48dcLhcu6smTJ9XV1VOnTm3THe5uUCiU8PDwzZs3l5eX6/tXtwqkhbhtLF68OCgoCGkrkOHq1asbNmxoa66DBw+iUKjTp093jlE9jS1btjg7OyNthXa4fPkyGo2Gq/B6NKBLcRLg9Th69GhJSQn4qusQubm5GsbPDhw40NjYuGm6VCqtqKhwdHRUKBT79++/cOFCm0568eLFZcuW7d69++uvv26X1d2dZ8+eqXUhgDE0NGw6BPOzeHl5FRUVNTY2au6RoxNMnjy5qKho9erVdDp91KhRSJvTrdExHQRzhV69enXVqlVI29I24uPjmwZVYMDqkU3TuVzuwoULf/rpp1OnTg0fPly1V+NnSU5OnjNnzqpVq1auXNleq7s7hw4d4nA4zf5EoVDaoYOgMlhcXOzh4aENAxFm7dq1Hz58mDp16vPnz93d3ZE2p/uiY/OwQhD0zTffJCUlMRiMtrrJdJHGxsaFCxdyOJzo6Ohvv/229X1x3rx5ExERERMTExcX1xtulLbg8/mmpqa3bt2KiYlB2hbtIBKJwsPDuVzuy5cvPzsFXK9F93Tw48ePdDr91q1begdwSxQUFISEhHh4eCQmJnbljH49Aysrq59++umHH35A2hCtUVlZGRgYOGDAgPj4eF2ZTaeL0b2aQr9+/UaNGrVt2zakDemmVFdXjxw50sHB4ebNm3oRbAfOzs5FRUVIW6FNaDTa5cuXk5OTtTsdZ09C93QQgqD/+7//e/Hixe3bt5E2pNvB5/PHjh0Lelm2ZnSgnqY4OzsXFhYibYWWGTx48K5du3755ZfuvxwVIuikDgYEBEyYMGH9+vWgd7QegFQqnTx5cklJyZ07d1q/eIAeNXqkDkIQtGzZsgkTJsyYMQMM2dSjik7qIARBO3fuLCws3Lt3L9KGdBdA58onT57cunVLbU4XPW3CycmpsLBQ5/zmreH48eMEAmH69OltmrGiN6CrOuji4rJ+/fotW7b0yE93O9iwYcO5c+euXbs2aNAgpG3RbZydnYVCYY+sNJHJ5MuXLz979mzHjh1I29LNQLojd/sRiUTe3t5BQUESiQRpWxDm8OHDKBQKDHDW00FKSkogCHr69CnShnQWf/zxh6GhIVjmQQ9AV+uDYMq/K1eu5Obmbty4EWlbkOT27dvffvvt1q1b586di7QtPQE7OzssFltaWoq0IZ3F8uXLQ0JCZsyYIRQKkbalu6DDOgjWn9u3b9+uXbt67dKFL1++nDZt2vz583/66SekbekhoNFoc3PzLl5EtCtBo9Fnz56tqqrq5RUIVXRbByEImjt37vTp0+fPnw8W0FBFJpMhZFQXkZeXN2bMmMjISLCmkh5tQaVSa2trkbaiE7Gzs9uzZ8/evXvhOcN7OTqvg2CQKYlEmjBhgurEk7W1taGhoXV1dYia1olUVFSMHj3a1dX14sWLarPP6+kglpaWPVsHIQj6+uuvY2JiFi5cqG8d9xAdNDU1TUxMLCoqmjJlCqgDNjQ0REVFvXz5cufOnUhb1yk0NDRER0cbGBjcvn27B8yM0t2wtLTswe1imEOHDrFYD4Wg/gAAIABJREFULDDDbi+nJ+gg6EYTHx+fkpKydOlSiUQyfvx4BoMBQdCff/7Z8xzeUqkUzHL64MEDfX/pzqDHt4sBNBpt69atO3fu1OmlCLRCD9FBCIICAwMvXbp06tSpgQMHpqWlwUNNNmzYgLRp2gSsN/Dy5cs7d+6oLUqpR1v0Eh0EszcFBQUtXry4l/es7jk6CEFQdHR0WFhYZmYmHCGRSqXnz5/PyMhA2jStsXr16osXL169elXDLP96OkgvaReD2PHhw4ffvn177NgxpG1Bkh6lgzt27EhOTlZLxGKxy5cvR8giLRMbG7tnz57jx483u/y5Hm0BFvzsJaPXPT09ly1btmHDhh4cVPw8SHfk1hrnz5/XME3pvXv3kDawo1y6dAmNRu/evRtpQ3o+YPnAiooKpA3pIrhcrrW19cqVK5E2BDF6iA4mJiZqmGASg8G4u7vL5XKkzWw/KSkpOBxu6dKlSBvSK8jJyYEgKDs7G2lDuo5Dhw4ZGBgwGAykDUGGHtIulkqlYH6BZmcelcvlDAYjLi4OCdO0QE5OzoQJE8aPH3/gwAGkbekVgLVietU66AsXLqTT6WvWrEHaEGTQvXn5NfDhw4eTJ0/GxsYKhUKFQqF6aSgUikqlFhUVNbscUneGyWQGBwc7OzvfvXvXyMgIaXN6BTU1NVZWVikpKeHh4Ujb0nU8ePBgxIgRqampoaGhSNvS1fSQ+iCgf//+O3bsqKioiI2NdXV1BUES8JNSqayrq9u/fz/SNrYNLpc7ZswYIpF448YNvQh2Gb2wPggWg4yIiFi/fj3ShiBAj9JBgKmp6aJFixgMxsOHD6OjozEYDGgsy2SyrVu3slgspA1sLSKRKCYmhs1mJyQkUCgUpM3pRfROHYQg6Ndff01LS2va6aLH0wN1EIBCoaKiov7555+ioqI1a9aYmZmBZTB//fVXpE1rFQqFYtasWe/fv09ISHBwcEDanN4FGo02MjLqhToYEhIyYsSITZs2IW1IV9Oj/IMakEgkV69e3bt3b2ZmZm5urouLS0tHikSihoYGHo8HepDx+XzwVyaT8Xg88Fculzc0NIDmdn19vVoJAoFALBarJRKJRLWItqGhIRgajMViTU1NwV8MBgOOPH/+fHx8/MGDBwcNGmRqakoikchkcuvXL9bTQczNzbdt27Z48WKkDelqXr58OWjQoMTExFGjRiFtS9fRK3RQJBKxWCw2m11TU5Oenl5cXGxtbc1iserr63k8Hqx6XC63oaGhpd6zaDSaRCKhUCigR2QyGaQ3FTgDAwO1teIUCgWXy1UrsLGxUSKRAI0G242NjUBzW7oQU1NTU1NTIpEIKyORSCSTyebm5lZWVubm5hb/Ym5urhfNjmBvb79ixYqVK1cibQgCjB49WiwW96rWcQ+Zr6m2traqqqqsrKy6urqsrKyqqqq8vLy6urq6uprNZqsqCxaLhZWCQqGQyWR7e3ugJkQiEUgM0BoKhQJqZ0ABu/JyVGugIpGIx+PxeDwOhwMkG/5bX19fUVGRm5vLYrFqampAFRWARqPBNVKpVDs7O2tra3t7e2trazs7OxqNZmNjg8fju/KKdA5jY+Ne2C4GrFy5csSIEW/fvu09Yzd1qT6oVCqZTGZRUVFhYSH4W1hYyGQyKysr4XaosbEx/MJbWVlZWVlRqVS4okSlUntwwEEikYBqL4vFAh8AoI/l5eWVlZVMJrO6uhoeTm9mZkaj0RwdHZ2cnJydnZ2dncGGqakp0tfRLfD19R0zZsxvv/2GtCHI4OPj4+XldfbsWaQN6SK6rw4ymcy8vDwGg5GXlwdUr7i4GOgdDodzcnIC762tra2tra2NjY2NjY2trW0XV9x0C7lcXl1dDb4cQByLi4vBvYVn87awsACa6OLi4u7u7ubmRqfTda7TZccZNGhQSEjIH3/8gbQhyHDq1KnFixcXFhba2dkhbUtX0F10sKioKDs7Gwhfbm4ug8EADjVzc3M6ne7i4qJabbGxsdE7v7SLSCQCtWy4uv3p06dPnz5JJBIUCuXo6Ein0z08POh0upubm5eXV4+vNg4aNCg0NHT37t1IG4IMYrHYyclpzpw527ZtQ9qWrgAxHayoqHjzLy9fvgTTvVEoFHd3dw8PD/AXCB8i5ukBPS5LS0sLCwtzcnJyc3NzcnLev3/P4/HAFJ7+/zJo0KCeNx1sL9dB0Jdwz549ZWVlvWHC867TQRaL9fTp09TU1NevX797966hoQGLxXp4ePj9y4ABA3p8LaMHUFxc/O7du4x/AQ1qJycnf3//wYMHh4SE+Pn59YD1UvQ6yGKxHBwc/vzzzyVLliBtS6fTuTpYVFSU9i95eXkoFMrd3T04OBgIn5eXl36smK5TWVkJBDE9Pf3Zs2csFotAIAARGTJkyKBBg3S0NqHXQbCWU15e3qtXr5A2pNPRvg7y+fyHDx8mJibevXu3tLQUh8MFBASEhoaGhoaGhIT04HCtHqVSyWAwwGcvNTW1qKgIi8UGBwePHj169OjR3t7eOuTV1esgBEGPHj2KjIzMzMz08vJC2pbORWs6yGAwEhISEhMTnzx5IpPJAgICwNK6gYGB+kpf74TJZKampt67dy8xMbG6utrW1hYI4vDhw7u/A0Svg+DD5uLiMmnSpF27diFtS+fSUR0sLy+/du3a2bNnMzIyzMzMoqKihg0bNnbsWBsbG+0ZqUfnycnJiY+Pf/jw4ePHj9Fo9PDhwydPnvzll1922x45eh0EbNy48dy5c0VFRTpUl28P7Zu+lcVixcbGhoaGolAoc3Pzb7755vHjxzKZTNvTxOrpadTW1h4/fjwiIgKNRpPJ5Pnz5ycnJ3fDqcKDgoJWrVqFtBXI8+bNGwiCXr9+jbQhnUub55vJz8//4YcfHBwcVq5cSSaTL126BOb7CwsL0zAzvh49AAsLC6B9ZWVlmzdvZjAYkZGR/fr127dvX2NjI9LW6VHHz8/Pycnp2rVrSBvSubRBB5OTk6Ojo/v163f37t0//vijtrb29u3bkydPbnYqfD16NGNjY/PDDz+kpaVlZ2dHRUWtX7/e0dFx48aNVVVVSJsGgakx0OgeOytdm4iOjn7w4AHSVnQurfpPZ2RkhIaGRkVFNTY2/vPPP3l5eUuWLFGbUkWPnvbh4eFx5MiRkpKSZcuWHT9+3MnJacOGDYjXDQUCgX4qCkBERMTbt2979qqen9FBFou1ZMmSwMBAMDFZSkrKuHHj9N9JPVqHSqX+/PPPJSUlv//+e2xsLJ1Ov3DhAoKDPoVCoV4HAUOHDoUg6MmTJ0gb0oloUrSLFy/269cvPj7+7NmzqampAwcO7ELD9PRGcDjcDz/88PHjx9GjR8+cOTMqKorJZCJiiUAg6Lax7C7GzMzM1dUVBEx6Ks2Pf5LL5StWrDhw4MD333+/bdu2rmkCc7nct2/fwrs4HC44OBiCoLdv38KTmHp6elpYWIDtioqK0tJSR0dHGo3WwVPLZLK0tDQwqaqfn19rsvB4vOLi4gEDBkAQ9OLFC5FIBEHQwIEDjY2N1XY7aBIWiwXrh6mesWdDpVKPHj26aNGi2bNn+/r6Xrt2bciQIV1sg1Ao7IgOKhSKN2/e+Pv7d3HjKSUlBYIgExOTgIAALRbr6+v77t27jpTQHZ5ekUiUl5dHIBBcXV3VuwE1DSHLZLJp06YZGRldvny5K0PXHA7n1KlTnp6eEASNGzcuMTERpKempk6fPr1Pnz7Hjh2rrq5WKpUikWj69OlBQUFr16718PCYNWuWRCLpyKnlcvmDBw9cXV2DgoJamWXq1KkQBL1//16pVL569WrhwoUQBOXl5TXdbbdJSUlJkZGRJBKp6Rl7CTweb+LEiXg8Hn4YugwDA4Nz5861O/uhQ4cgCDpw4IBWjfo8SUlJ7u7u3t7e2i12+/btjo6OHSkB8af36dOn3t7ey5cvp1KptbW1ar82o4MrVqzA4/FJSUldZeF/yMjIwGKxNjY29fX1IIXD4Tg7Oz979gw+ZvXq1XQ6XSwWK5VKLpdLo9F+/PHHdpxLoVB8+vQJ3g0JCWm9Dl66dGnq1KkNDQ1g99ixY6rCp7bbbhYvXgzroNoZO47a5XdPZDLZ7NmzTUxMMjMzu/KkEARdv3693SVkZWXFxMSo2vzhwwfVA9R2tUhUVJTWdfDixYsYDEYqlba7BLWnt+ufPXd39+3btyuVyj179nA4HLVf1XUwKSkJgqC///67Cy1UZ926dRAELV68GOxOnTp1y5Yt8K+NjY3GxsabN2+GU1auXEkgEAQCQVtPdP369fnz58O7bdJBNTpJB5csWQLroNZRu/xui0QiCQsL8/b27rKO+mCFAy1WQisrKz08PFra1S5RUVE+Pj7aLRO4aMrKyrRVYBc/e2w2G4KgEydOtHSAun9w48aNMTExX331VZc23P/L5s2br1+/fvTo0ZkzZ+bn55eXl58/fx7+NS0tTSAQgOYzwN/fv7GxMS0tbfjw4WpFCYVCBoPR7DILbDZ727ZtlpaWKSkpNBqtf//+YFkPCIIaGhry8vIcHR2tra1h9x+VSvXw8JDL5bm5uTgcrqKiAoKgwMDAVs6nolAocnJy5HJ5//79QSCyabGw9+Tjx49sNtvKykqhUMApqmdsKW/Ts8CUlZWVlZUZGhra2trSaLRmLx/0k6+pqaFSqa6uriBFg51dg4GBwfHjxz09PS9evDhjxowuOKNQKAT3HB4a3/QfnZ2dDdbC5nA4FArFwMAgJCQEgqAPHz4YGRkVFRVBEOTq6mpraysSibZs2cLhcFJSUvB4vLe3t+puUFAQKLCwsJDFYrm6uoK5SMCTD4qVSCRZWVlkMlnDOouqGBgYSKXST58+8Xg8Dw8P4N9X9bN7eXmZmZm9fv0a9E8CdmooELwIiYmJ4KmAL1aVtLQ0UI8GN0TD+9Lss9emF0QDTR9gmUz2+PFj8A9NSUkxNzdvphxVUSwuLkahUA8ePOgSjdbEo0ePUCiUi4uLnZ1dcXGx6k/79u2DICg1NVX1YAiC9u/f37QcIOinTp1SSxeLxRs2bMDj8V5eXuvWrbt27RqoD7q5uc2bN8/NzY1MJhsYGFy8eBF8DF1dXUeMGLF//34ajWZlZVVQUPDtt99CEJSVlQUK1FwffP78uaOjY3R09DfffGNubn7mzJlmi1Uqle/fv3d3d/f19V2xYsWiRYtcXFxAfVDtjM3mbfYsSqWysLAwJCTE29t75cqV8+bNMzc3j42NbXr579+/9/DwiIiIWLly5cCB/6+984xr6uz7+ElCEsIKM4KQCDJklI0CiqiA3iAgoMWJSAXH7R61rlZtrbhqXahV64AqDqhYEEVBBEEFZQgYEBAQInsbQxISkufF9Wme3CyDkpwEzvcFn5yTnHP9Tjjnl2v+/5PMzc1fv349UFmSx8/Pz8fHRzJlARc7derUmDFj9PT0EhISmEwmaIsIerhKSko2bNjg6ekZHx/v5+cnLy+flJRkY2MDQdCzZ88uXLgg6B88e/bshAkTVFVVt2/ffvTo0V6bfD6/sbFx6tSpNjY2GzduJJPJ69ev5/F4FRUV/v7+WCx29+7dtra2wIm2bdv2WfHu7u46OjozZsyYNm2anp6evLz8b7/9BrqtjY2NMRjMzZs3Ozs7+Xx+Tk6Ol5fXqlWrGhoaBj8ncDHQUJs5c6bg6autra2pqQGvMzIyZsyY8cMPP8TFxQ3yvPT76In+gAzCQDdwdHQ06K+fPXv29u3br1692vfY//HBBw8egNrQZ79rCQCk96087927F4KgnJwcwR4QH024pSwgNjbW19d3oPaphoZGr3axnZ0daHx1dXVZWFhYWVkJ3tLV1b19+3ZpaamXlxefz//rr79E9MGuri5tbe1vv/0WvHXkyBE8Hv/hw4e+p2UymRQKxdXVVTDsI9w/2KvEXscOVAqHwzE1NZ08eTLoTuXz+VevXr148WKvy2exWBQKZdGiRWCTy+V6eXmRyWQWi9Xv5Uue8PBwQ0NDyZT15s0bEBti06ZNaDS6vr4e7L948aKGhobgv7N8+fKkpCQ+n797924IgiIiIgoLC9esWVNSUkKj0YTHSebNmycsvtemn58fhUJhMBiCmzk2NlZwWtCZ1dPTExAQgMFg6HT64OKF+wd7enqWL18OFoPx+XyQbiUhIUHwYQsLi7q6us9+ISBJ98OHD21sbMzNzQX7lyxZ4uvrK3w20K3/2edF+N4T/QEZROHgN3BJSUm/9SEB/zOoD8aSpSRjCYlEgiAoKiqqsLBQeD+oewtPRwDrmvvNOzxv3rz4+HhTU1MRC8ViseBsBALB2dkZ3M0APT29wMBAExOTmJiYIV1IcnJyQ0PD4sWLwebMmTPZbPbDhw/7nvb+/fs1NTVr167FYrGinFn42IFKefjw4du3b9euXStY/ujl5dV3KigIFhkUFAQ2MRjMihUraDQa+Gn8mssfRiQW8gSsnVBXVw8KCuLxeLdv3wb7IyMjW1tbExMTwX344sULDw8PwVGhoaGWlpa///67kZGR6GV1dHQkJCT4+/uDaToTJ04kEon//POP4AOgbY5Go2fNmtXT0wOqZiKCRqP3798PQRDoWQoODsbhcJGRkeDdnJwcfX19UaadgTSHaDQ6KCiouLgYPJJ0Oj0uLi4pKQkk1cjPz58wYYIgUZroN4zoD8ggJ/nsDTw4/+ODZmZmKBQqOztblCPFSkZGRkxMzJUrVzgcTmhoqCDbJARBoJsGZEAHgMl6wz7JEYPBCLrnhBlqgOXS0lIQtzktLS0tLQ1s1tTU9D1tQUEBBEGCrjrRUVRUHKgUMO3LxMRE8GESidQ3rGZRUREEQfr6+oI94GGmUql9yxqqvGEhKyvL3NxcMmUBH1RTU7O3tzczM7t58yYEQRUVFYqKiqDVJohR2je2CB6PH1JagvLych6Px2Qy0/6FQCD0vT3ATFLQjzakaxk7dqyysnJFRQUIcuHv75+QkNDe3g7MEdQWPwvIAK6srLx48WLQsoYg6Pbt2/7+/hwOJzo6GtRh+x1X+OwNI/oDMshJRL+B++V/fJBCoTg7O4MOOBjp6Oj47rvvoqKiQkJCAgICcnJyjh8/LniXQqGAxoJgDxgMAvulEGDZxcXF4N9cUlKyd+9eMDW6F6DT+stilA5Uiog/EiAhqvADDOqPgsTQ8FJWVpaUlATmoEmAtrY2RUVFPB4PQdDSpUtfvHhRXV0dGRm5YsWKxYsX379/v7W1daDHfqiAf1xdXZ3AB1etWiWo1wwLcnJygkZeWFgYm82+efNmT09Pamqqr6+vKGcAA+hKSko6Ojru7u7AB69fv/77779bWlqCNMePHj3y9vb+AnmiPyCD8JU3cO8frgMHDsyYMeP69euSGZjrl1WrVoWEhIBxtDNnzjx58mTPnj0BAQFgsAwsdgY92YCysjIIgoZ3Av0wAnK5BQUFOTk5Df5JdXV1CIIaGxu/IEvfQKWAL6e2tnbwzgHQOALdQADw6wK65+Glu7s7NDTUwsJCkj4I/hcQBC1ZsmT37t3R0dGJiYk//vijgYHB6dOnr1+/np+f/8cff3x9WeAf5+LismPHjq8/W1/YbHZHR4egluDh4WFgYBAZGWloaOju7i5iDwxY3QjGlIOCgoKDg6OjoxUVFceMGRMSErJ169abN2+am5t/2Yps0R+QQfjKG7j3op/p06d///33YWFhYCKh5Lly5Up9ff3OnTvBpo6OztGjR5lMJhg2AU08Ozs7sH4IkJSUZGdnJ9z0E8BkMvPy8gYqC41GC7e4xcTkyZNBH7OIn7x3794wljJr1iwUCgV+wHshfPmgn+vVq1eCd8GUMXd39y8QM4xwudzQ0NCCgoKoqCiJBbhsb28X+CAYuTp8+LCTkxMOhwP5xfbt2+fm5iZ6f2WvO01408jIiEQiPXr0SAzXAYFbgs/nC2pqKBRq+fLl2dnZP//883fffSfiSaqrq1VUVFRVVSEImjt3rqKi4po1a4KDg4F/ycnJrVmzZki1Y+FvQPQHZBC+8gbupyPj0KFDdXV13t7eV65ckfBEwnfv3u3ZsyczM1P4jg8LC7tx40ZqaurFixeBG54+fXrWrFl379719vaOiop69uxZampqvycMCwuLjo6+dOlSv/0gBgYGqampycnJPT09np6eYrqob775ZtGiReHh4Xw+f/r06Twej0ajeXl5gYEgYaZNm+bm5nb06FECgTBlypTW1lbRF7cPVIqRkdHOnTvDw8MZDMa8efNIJBJo9IF6gfDlb9q06cCBA9bW1vb29unp6YcOHdq8efMXdFYOIx8/fgwODk5OTo6LixOeMSpuwAw4wWZQUFB6evqyZcvAZkhIyJYtW4b0aBgYGNy5cyc6OlpNTW3y5Mm9Nvfv379q1aqlS5cuWbJEQUGhsbHR0NBQxHXu/cJisWpra0GP84YNG7y8vAIDAwXvfvfdd/v27evu7hZ9Hui7d+8MDAzAa0VFRX9//8TExDlz5oDu5tmzZ/caMvosve49ER+QQTAxMfmaGxizb9++XrvQaHRAQEBbW9u2bduamppcXV1BR4m4OXjw4Llz51RVVQsKCmxsbMCPDwRB69at6+jo0NPTo1KpGRkZrq6uxsbG3t7e165dO3/+PJPJ/PPPPwe5aZhMZlhYmIaGRt+3bG1t3717l5+fr66unp6e/uHDBzwe//79+2nTpkVGRr569UpDQ+Pt27cFBQXgraKiIjAidu7cueTkZE1Nzbdv3/J4vJSUlLS0NE1NTTA8n5ycLLxpamrq7++vq6ublZWVkpJSU1NjaGg4adKk48eP9zotCoUKDAxUVFR89uzZ69evSSSSk5NTS0tLSUlJWVmZcIn379/vdSwEQf2Wgkaj3d3dJ06cWFZW9uTJk6KiIi6X6+HhQSQShS/fwcHB09OTTCZHRUVdunSpqqrqhx9+2Lx5MwRBx44d61uWBMjOzp49e3ZFRcW9e/dmzJghmUIB165dw+Fwgma4oaFhZWXlpk2bwKaRkVFNTc26devAZkJCQkpKColEys/PJxKJFArl0aNH586dU1ZWbm5urqmpmTx5so2NTVNT08uXLzkcztSpUydNmiS86ezs7OLiQqVSHz16BAIBuLm5ZWRkJCUlkUikN2/e2NnZZWdnx8bGamhoVFRUODg4DNLhC96Njo6+evVqfn7+d999d/jwYeGOMxUVlezs7AULFoAuJlE4cuTIhAkT/P39waampiaZTBb8UzQ1NfX19V1dXcFm3xum1/NiZmbW694T8QEZXORAN/DLly+PHj2qrq5eWVnZa1D7/xlkSk5MTIyGhoaOjk5kZCSPx/vsJCMEhGGhsbFx+fLlaDTaw8NDlNltw86sWbPCwsIkX67EcHJy6rvGdhA0NTX7XacwYhhsgP/bb791c3P78ccfly9ffv78+d9//12wBggBQRywWKw//vjj559/VlZWvnnzpnBrTpK0tbWBlSFSSFdX1yCJ1Ukk0kCzi969ewemkiQmJk6cOFHQ3vospaWlLS0tolcexURdXR0Y9OsXExOTr8mR+ZmJTurq6mfPnl25cuX69eudnJxcXV03b96MhKRGGHaamprOnj177ty5jx8/bt26ddeuXTCGQW1tbRWMk0gbbW1tg2QTdXV1HcgHT5486ejoiMViw8PDU1JSRC/x8ePHysrK9vb2X6R32CgoKDhz5sxA765du/arcgWLXnVMTU318fFBo9FGRkYRERFgiSICwldSUFAQGhoqLy+vqan5008/CRaxwQWPx5OXl4+KioJXxrBz/fp1b2/v4ODgsrKyIR04b948ia3shosh5y9+9+7dhg0bFBQU5OXlfXx8bt++LVi4ioAgOh8+fDhx4gQIW2JkZHTixAmwwBZ2wCqxlJQUuIVIBSwWS0VFRfIBZSXMF+Zxb2trO3/+/LRp09BotLq6+sqVK588efI1YRoRRglNTU0XLlwQvnPS09OlahQOLJ6lUqlwC5EK4uPjUSiUIKjMSAX1lVEVamtrY2NjY2Jinj17pqioOGPGDF9fX29v78HDmSGMKng8Xn5+fkpKCphgJCcn5+HhERwc7OfnJ4XJrx8+fOjp6dne3i76SMIIJjQ0lEqlZmVlwS1EvHytDwooKyu7f//+gwcPnj59ymaz7ezsvLy8PDw8Jk2ahOQ/HJ3QaLSnT58+fPgQhCQhk8leXl7grpDm5NdXrlxZu3ZtV1cX3ELgh8lkjh079qefftqyZQvcWsTLsPmgAAaDkZqa+uDBg6SkpKqqKiwW6+Dg4OLiMnXq1ClTpkjtMBzC18Pn84uLizMzMzMzMzMyMqqrq0HgYmB/spJp78CBA1euXHn37h3cQuDnxo0bwcHBNBpNGpaZi5Xh90FhampqMjIywFNRXFwMQZC5ubmzs7OdnR1Yp4lUFWWd2tra/Pz8vLy8nJyc58+ft7a2KikpgQUSrq6uX5O5FC7WrVtXWFg4stOWi4iXlxcGg/myBe+yhXh9UJjW1tbnz59nZGS8fPny9evXnZ2dcnJypqamdv9iaWmJ9MhIOTwe7/379/n5+cD78vLyGhsbIQgaP368vb395MmTXVxcbGxshhSAT9qYO3cuDofrNzLFqKKystLY2DgmJmbu3LlwaxE7kvPBXtTV1eX+y6tXr8DjpKamZm5ubmFhMX78ePDCwMBAYlGIEXrB5XJramqoVGpxcXFlZSWVSi0oKAAhOXV0dOz/xdnZWVNTE26xw4azs7Ojo+OJEyfgFgIzmzdvvnPnTkVFhUz/qokIbD7Yi+rq6uLiYiqV+vbt2+Li4rdv34JIq2pqaqampoaGhgYGBgYGBuPHjzcwMNDV1ZVYCKZRAoPBqKqqqqqqqqysBC/KysoqKio4HA4ajdbX1zczMzM3Nzc1NbWwsBCkQBuR6OrqbtmyZevWrXALgRM6nU4mk3fv3r1t2za4tUgLmyjeAAAgAElEQVQCafHBvjQ0NABDfPv2LXg4KysrQXRlHA5HoVAEnkgmk7W1tfX09MaOHYuMwwwCh8NpbGyk0WgNDQ0fPnyoq6urrq4G321TUxP4zJgxY8BPjpGRETC+vilARzAsFktRUXGUNAYH4fTp0zt27Kipqek3UNPIQ3p9sF/q6+sFFRbgjHV1dR8+fAAJZ0F+JZCfF5ijlpaWlpaWpqampqamhoYG+DtSG9osFqu1tbWlpaW5ubm5uRm8bmpqApZXV1fX2NgoyG5BIpF0dHQEPyfgr4GBAVzpR6SE0tJSU1PTvLy8fnNejxL4fL65ufm0adOGJeC2TCBjPjgQ7e3tdXV1tbW19fX1oL5Do9EaGxubmppaWlrodLrgk2g0WuCJRCJRRUVFWVlZVVWVSCQqKyuDTRB6V0VFBYPBqKqqolAoIpEoydASTCaTxWKxWCwmk9nV1fXx40c6nf7x48f29nbwAvz9+PFjR0dHR0dHU1NTa2sr6LkDYDAYcJlaWlrC9eWxY8fq6elpa2tLJqakzJGUlOTl5TXKJ1Hfv3/f29u7sLBQVqY6fT0jxAcHh81mg8pRa2srcEbwurOzE7hJZ2en4DVoevcLcEPgj+AvcBwVFRXhj6HR6F6BHjkcjrBJgSEIgTt3dXWx2WzwFzjgIAJUVFRUVFSUlJSUlZXV1NSAg5NIJOEKr5aWFtI/8GX88ccfO3bsEE5zMQrx9PTkcrlDikkj64z8kSCQShFUhUT5cHd3N51O7+zs7Ojo4PF4IC81eDDA0I1gD/gJAbU24TMwGAwqlUomk0HmWdCh2Tf1EqhpggS1BAIB/MXj8QoKCuAvDodTVFSUl5cH3ifsrTweb/bs2SoqKosWLQJrdYfje0KAqqqqviBJ1kji1atXjx49AjmaRw+joj4oYWpra/X09DIzM0EwFTHx+vVrBweHnp6eMWPGLF26NCgoyNraWnzFjRLmz5/P5XLv3LkDtxDY8Pb2BjkDRmo3er8g9YjhB7SXh5pve6jY2Nhs3LgR5Pk8efKkjY2NiYnJwYMHq6urxVruyOb9+/eChESjkNzc3AcPHuzfv39UmSDig2IBtFIlkBF0//79urq6aDSaw+FAEFReXr5nzx59fX0bG5uTJ08KpsIgiE5VVdVo9sGffvrJ0dFRfLkbpRbEB4cfydQHIQhSUFCIiIgQLojL5UIQVFhYuHXrVh0dHTc3t6ioKAaDIW4lIwM6nd7S0qKvrw+3EHjIzc1NSkr6+eef4RYCA4gPDj8Sqw+CXJ0+Pj5YLFZ4J5/P7+np4fF4GRkZISEhY8aMuXr1qgTEyDqlpaUQBMGbshlGdu3a5ezsPGvWLLiFwMCoGC+WMGBq3iDTX4aXM2fOmJqagqZxL7hcrpycnLa29ihfHSEipaWlOBxudLaL7927B/Juwy0EHpD64PADprx8/PhRMsVRKJT9+/f3O3UGjUbjcLj4+PheMxwR+qW0tNTQ0HA0hBXoRXd399atW+fPny/IxT7aQHxQLKioqHR2dkqsuI0bN5qbm/d9gPl8/q1btwZK5IjQC7CoDm4VMHDy5EkajXb48GG4hcAG4oNigUgkStIH5eTkLl++3GtkBoVC6evrOzs7S0yGrPP27dtR2DnY1NR04MCBH374Ydy4cXBrgQ3EB8WChH0QgqCJEyeuXLlSUCWUk5ObPn06n8+fNGlSSUmJJJXIKDwe7927d6PQB3ft2qWsrDxK4msNBOKDYkFVVVXCPghB0MGDB8FaPSwWa2xsnJCQkJOTo6ur6+jo+ODBAwmLkTlqamq6urpGW7v42bNnV65cOXr06CiPM4T4oFjQ0tJqaGiQcKGqqqog3zaBQLh3756ioqKGhkZycrKfn9+cOXPOnDkjYT2yBZg0Y2JiArcQycFms1euXOnp6blw4UK4tcAM4oNigUKh0Gg0yZe7cOHC2bNn//3334JgAXg8Pioq6tdff12/fv3GjRslM6tRFiktLSWRSKMqTs+ePXs+fPgweoIMDsKomyIgGchkMiw+CEFQXFxcr+ToKBRq+/bt48ePX7ZsWVlZ2a1bt5BpNH2hUqmjamA9Pz//+PHjERERZDIZbi3wg9QHxQKZTG5ubu4Vj0sy9DJBAYGBgampqfn5+VOnTq2pqZG4LmmnoKDAysoKbhUSgsvlhoaGTpkyZcWKFXBrkQoQHxQLZDKZz+d/+PABbiH/g5OT04sXL3p6epydnQsLC+GWI0WADPSjJ/zyL7/8UlZWdunSpdEWV2YgEB8UCxQKBYIguJrGg2BgYPDs2bMJEya4uro+efIEbjnSQmVlJZ1OHyU++PTp0/Dw8CNHjozyiLPCID4oFrS0tNTU1KRz4h6RSExKSpo9e7anp+eNGzfgliMVFBUVodFoCwsLuIWInfb29uDgYE9Pz//+979wa5EikHEScWFlZVVQUAC3iv7B4XDXr18nk8lLliyh0Wg//PAD3IpgprCw0MDAYAQnZRawevVqLpcbGRmJtIiFQXxQXFhZWWVnZ8OtYkBQKNThw4fHjh27ZcuW2tra48ePj+YkJ0VFRaOhUXz27NnY2Njk5ORRkpVYdEbvrS9urK2ti4qKpHy+3saNG2/dunXhwoUFCxZILFCYFFJUVDTiB4uLioq+//77Xbt2ubm5wa1F6kB8UFxYW1szmcyKigq4hXyGb7/9NjExMTk52dvbW/JrAaUBJpP57t27kd052N7ePnfuXAcHh71798KtRRpBfFBcWFhYYDCY169fwy3k87i5uT158qS4uHjGjBmjMKsJqLbb2NjALURc8Hi8oKAgBoNx8+bNURhdURQQHxQXBALB2to6IyMDbiEiYWtr+/z5czqd7urqKoXTfcRKTk4OkUg0NjaGW4i42LlzZ2pq6t27d0VM4T0KQXxQjLi7uz9+/BhuFaJiYGCQmZmJx+NdXFzKy8vhliM5cnNz7ezsRur46Z07d44ePRoRETFp0iS4tUgviA+KEXd395KSEmlbVTIIY8aMSUtL09XVnTp16uhZcJKTk+Pg4AC3CrFQUFAQHBy8du3a0NBQuLVINYgPipGpU6fi8fjU1FS4hQwBNTW15ORkS0vL6dOnZ2VlwS1H7LBYrJKSEnt7e7iFDD+1tbW+vr4TJ078/fff4dYi7SA+KEYUFBQmT54sQ01jgKKi4r1796ZNm+bh4ZGSkgK3HPFSUFDA4XBGng/S6XQfHx8lJaW///67V1pXhL4gPihe3N3dU1JS+Hw+3EKGBh6Pv337tre395w5cx4+fAi3HDECBkkMDQ3hFjKc9PT0LFmypLa2Nj4+flRFVPxiEB8UL76+vnV1dS9evIBbyJDBYrHR0dHz58/38/NLTEyEW464yM3Ntbe3H2GDJOvXr09JSYmPjzcyMoJbi2yA+KB4sbKyMjc3v337NtxCvgQMBnPlypXQ0NC5c+fGxcXBLUcs5OXl2dnZwa1iODlw4MCFCxdu3brl5OQEtxaZAfFBsRMYGBgTEyPlC+wGAoVCRURErFq1KjAw8Pr163DLGWYYDAaVSnV0dIRbyLBx7ty5n3766fTp076+vnBrkSn4CGKmoqICjUbHx8f3fauurs7a2nrBggXbtm2zsbFZt24dl8uNioqCIMjR0dHFxcXJyQmPxzs4ONTV1YFDbt68qa2tvXjx4vXr1+vr6/v4+LS1tdHp9LNnz4LHgM/nd3Z23r17F4/Hr127tt9SwKkuXLigrq4eFhY2d+5cfX39nJycgS6Bx+Nt2rQJg8FERUV99npl5aL4fD4YwqLRaJ+9KJngr7/+QqPR4eHhcAuRPRAflAQeHh6+vr59969bt87NzQ28bm9v3717N5/Pr6+vhyDo+PHjYH9BQYGCgsLixYv5fH5hYaGcnNz58+fBW83NzWPHjg0MDOTz+WDmM7AMgKKiIrCMfkvJzc1Fo9ERERFg/+zZsy0tLQe/iq1bt4pihTJ0UQcOHACRw0cAd+/elZOT27RpE9xCZBLEByXBrVu3MBhMVVVVr/2LFy8eP358e3u78M5elsHn84ODg9FodGdn56ZNm1Ao1KdPnwRvbdiwAY1Gt7S0DGIZ/ZayefNmCILa2trA5vHjx0VpHOzYsQONRv/111+DfEaGLmrOnDnAcGWdlJQUeXn5NWvWwC1EVkH6ByXB3Llz9fT0wGMpzNKlS9+/f29kZLR58+ZBIjKYmpryeLz3798XFRVpamoKp9w2MjLi8Xhv374dpPR+SyktLcVisQUFBWlpaWlpaY2NjaJcyMGDB3fs2BESEjJIX6EMXVR2dvYIGEzIyMjw8/MLDAw8ffo03FpkFcQHJQFosPz5558tLS3C+z09PTMzM728vC5fvmxraztQTCQCgQDCQ7HZ7F7xQkB2OjabPUjp/ZbS3d2Nw+HS/gWPx4sYkenAgQPff//9smXLbt68KXpxUnhRFRUVjY2Nsu6DaWlpXl5e4HsYzZF0vxa4K6SjBTqdrqGhsWPHjoHeDQgIQKFQTU1NfZuQO3fuhCCooaEhMDCQQCAIH3jgwAGQe3eQJmS/pSxatEheXp7H433Z5Wzbtg2Lxd69e3fwS5bmi7p27RoWi+3q6hrKdUsX6enpSkpKgYGB3d3dcGuRbZAfEAmhpKS0a9eukydPCoddOHjwoOBd8HjT6fS+x6akpNjY2IwZM2bmzJlMJpNKpQreyszM1NPTMzU1Be3K9vb2vof3W8rkyZNZLNbTp0+/7HIOHz68YsWK+fPnJyQkiFKcFF5Udna2jY0NqJbKIunp6d7e3rNnz46OjkZWzn0tcBvxKILJZFIolBUrVgj2eHt7Hzt2rLOzs7Oz87vvvrO3t+fxeKDqtHfvXjqd/vHjx/DwcCwWCxbnsdnsSZMmubi4VFRUdHZ2Hj9+HIvF/v3332Bqi76+vra29vnz56Oion799VccDgcMot9S6HS6iYmJjo7OhQsXnj59mpSUdPny5SFdDo/HW716NQ6Hu3fvnvB+WbkoW1tb2R1dffjwIYFAWLhwIYfDgVvLSAAlc0tfZZrr168HBwc/f/4czN1NTEy8e/duXV0dDoeztbVdt26durp6Q0ODjo7O9OnTSSRSR0fHuHHjVq1aJQgE0NXVdf78+bS0NBaLZWhouHz5ckHMqMLCwkOHDtHpdGdn52XLlm3atInD4QQFBREIhL6lgHrW2bNns7OzeTze+PHj582bN23atCFdDp/PX7Vq1bVr1xISEtzd3cFOmbiojo4OTU3N2NhYf3//r/h/wkN8fPyCBQsCAgKioqKQ+NLDA9xGPOpwd3e3tLQcpEMHVJ1OnjwpWV1fCJfLDQoKUlBQSE1NHeRj0nZR//zzDwqFamlpgVvIkImMjJSTk1uzZk1PTw/cWkYOSP+gpDl79mx5efmRI0cG/xiPx5OUoq8Cg8FcvXrVz8/Px8cnPT198A9Lz0Wlp6dbWlrKXPrKkydPhoSEbN269cyZM8jo8DCCfJWSxsTEJDw8fN++fbIYhKZfMBjMX3/95evr6+3tLSv5WNLS0qZPnw63iiHA5/O3b9++efPm33777dChQ3DLGXHAXSEdjfB4PE9Pz/HjxwtWPghoampau3bttGnT5s2b98svv8Ak8Evo7u6eM2cOkUjMzs7u9Za0XVRHRwcGgwFDMTJBd3f3smXLsFjs9evX4dYyMkF8EB4aGhp0dXVnzZo1ksb7WCyWl5eXmppaXl4e3FoGIyEhAYVCNTY2wi1EJDo6Ojw8PJSUlB48eAC3lhEL0i6GhzFjxiQkJDx79uz777+HW8uwgcfj79y54+Dg8J///KekpARuOQOSnp5uYWFBIpHgFvJ5amtrp0+fTqVS09LSPD094ZYzYkF8EDZsbW0jIyNPnTp1/vx5uLUMG/Ly8v/884+pqenMmTOrqqrgltM/6enpQ50hBAuFhYVOTk5cLjcrK2vkZVCRKhAfhJN58+b9+OOPGzZsGEk5QAgEQkJCAlgoAqbLSBV0Oj0/P1/6ffDevXtTpkwxNzd/9uwZhUKBW85IB+6G+WiHx+MFBwcrKChkZmbCrWU4aWpqMjU1tbS0bG1thVvL/5CYmIhCoRoaGuAWMhiHDh1Co9FhYWHIwmHJgNQHYQaFQl2+fBksFM3Ly4NbzrChpaWVnJxMp9Nnz5796dMnuOX8P+np6WZmZmPGjIFbSP+w2eyQkJDdu3eHh4dfvHgRWTgsGRAfhB8w/27SpEleXl6DB92TLfT09JKTk6urq/38/FgsFlwyGAyG8KY0dw7W1dW5uromJCQkJSVt374dbjmjCMQHpQI8Hh8XF2dsbDxt2rSCggK45QwbRkZGDx8+zM/PX7hwIZfLhUWDpaWls7NzeHh4Xl4enU7Py8uTTh988eKFg4PDp0+fsrOzPTw84JYzyoC7YY7w/zAYjFmzZqmqqj5//hxuLcPJixcvlJSUli5dCsuSWFNTU5COGYIgZWVlENBQ2notIyIicDicr69vZ2cn3FpGI4gPShdMJtPX11dZWXnwsAUyR3JysiDVnIRxdnYW/uHHYDAoFAqNRtvb2//yyy+5ubmSlyQMk8lcvnw5CoXavn07EjoBLhAflDq6u7sXLFiAx+MHT4ckc9y5c0dOTm7v3r0SLtfHx6fflhAKhYIg6LfffpOwHmHKysqsrKw0NDSSkpJglIGA+KA0wuPx9u7dO/LqCFevXkWhUEePHpVkoUuXLu03NAsWi50yZQqMX29sbCyRSHRwcHj//j1cGhAAiA9KLxcuXMBisYsWLWIymXBrGTaOHj2KQqGuXLkisRLXr18PEj/1qgwqKSlVV1dLTIYwDAZj5cqVEAStXr2axWLBogFBGMQHpZqUlBRVVVVbW9uKigq4tQwbu3fvlpOTi4+Pl0xxP/30Ex6P71sfvHHjhmQE9OLNmzeWlpZEIhEuAQh9QebNSDXu7u6vXr3i8Xi2trZ37tyBW87w8Ouvv65evXrBggWZmZkSKI5IJPZKPoHFYoOCghYuXCiB0oUBdfyJEycqKiqCuUQSFoAwIHAbMcLn6erqCgkJQaFQO3fuHBlxurhc7rx584hEYkFBgbjLunjxonASDwwGo62t3Tfyo7hpamry8fEBI0VcLlfCpSMMDuKDMsOff/4pLy/v5ORUXl4Ot5ZhoKura+rUqbq6uuIeJYiJiRH+4UehUE+ePBFriX1JTk4eO3YshULJyMiQcNEIooC0i2WG0NDQvLy87u5uKysrkPAIbkVfBQhLo6mpOXv27La2NvEVRCQSBa8xGMzOnTslGZGfw+Hs27fvP//5z+TJk1+/fu3i4iKxohGGANxGjDA02Gz2jh07MBiMr69vbW3tQB+rrKyUrK4vpLa2dty4cY6Ojp8+fRJTES9fvgS3OhaLtbS0ZLPZYiqoL8XFxXZ2dkpKSpIcH0f4ApD6oIyBw+EOHjyYlpZWXFxsbm5+7ty5vkngMjIy7O3t8/PzYdI4BMaOHZucnFxVVSW+BciC+iAajb5161bfOTTioKen58iRI3Z2dhgMJi8vLyQkRAKFInw5cBsxwhfS1dW1d+9eHA43efLkN2/eCL8FVumrqKjk5+fDJ3AIZGdnKyoqLl26lMfjDfvJGxsbwa1+5syZYT95v7x582bSpElYLHb79u1IAEGZAPFB2eb169cTJ07E4XDbtm0DS/Rzc3PBijEMBqOkpPTq1Su4NYrEvXv35OTkfvzxx2E/Mwj5NWvWLHGYbC84HM6hQ4fweLyNjY2s/AghID44EuByuREREerq6tra2pcuXfLx8REE78RgMMrKyjk5OXBrFIm//voLhUKdOHFi2M9MJpPr6+uH/bS9KCoqmjhxory8/KFDh5CZMbIFStaHHREAbW1te/bs+eOPP3p6eoT3y8nJEQiEJ0+eSHmin56ens7OzkOHDh07duy3336ztLRkMpksFotOp3O53I6ODvABELG5q6tL+Niuri42my28h0AgyMvLCzYbGhqMjIzAz4OqqioGgyESiTgcTlFREXxSSUkJj8cTiUQ1NTVVVVVQoRYdLpd77NixvXv32tnZXb58GUT6QpAhEB8cUXh6eqakpPS1QiUlpadPn1paWkpeEoPBaGxsbGxsbG5ubmhoAC/a2to6Ojo6OzsFf+l0er+HKysry8nJEYlEDAajqqoKhjuEp8KAsSNFRUXhPcA9hfd0dHSAW729vb2np+fjx4/d3d29QlULIBKJRCJRVVUV/FVVVVVTUyORSDo6OlpaWlpaWjo6OiQSiUAgQBBUVFS0fPlyKpW6d+/e77//HoPBDMfXhiBREB8cObx7927ChAl9h48lYIWNjY00Go1Go9XU1NTU1Hz48OHDhw8NDQ0NDQ3CdTcikaitra2lpaWhoSGwmF4v1NTU8Hi8goKCgoJCv+uChxdQ62QwGCwWq7Ozs729vaOjo5dHd3R0tLW1NTU11dfXC+daUVJS0tHRYTKZbDbb39/f0tJy3LhxZDKZTCZramqKWznCMIL44Mhh2bJlN27c4HA4/b47LFbI4XDev39fXl5eWlpaXl5eXl5eXV1No9EE6Ue0tbXJZLKenh6FQhkzZoy2tjaJRCKRSOCFBHxN3DCZTGCIzc3N4EV9fT2NRqutraXRaM3NzeBjBAJh3Lhx48aNMzY2njBhgrGxsbGx8bhx45DaonSC+OAIoaqqytjYuFeLuBdycnLKyspPnz795ptvRDkni8WiUqmFhYVv3rx5+/ZteXn5+/fvgc9qa2ubmJgYGxvr6+tTKBQKhaKnp0cmk0eA030NTCYTVIdpNFp1dfX79+/LysrKyspaWlpA+338+PETJkwwMTGxtLS0srIyMzOTzHxGhMFBfHCEEBkZ+dtvv9FoNDCYAAaL5eTkenp6hHvK0Gi0qqpqRkaGubl535N8+PAhLy+vqKiosLCwsLCwvLy8p6dHQUHBwsICPL3GxsbgL0j0gSAi7e3toPpcVlYGatNUKpXNZmOxWJDl2crKysrKytbWVltbG26xoxHEB0caTCazuroaVElAb11VVVV1dXVtba1gUJVEIj158sTc3JzD4RQWFmZmZubm5mZmZlZVVUEQpKOjY29vb2FhYW5ubm9vb2pqirTmhh0ul1tTU0OlUnNzc4uLi6lUaklJCZ/PB1++i4vLlClTHBwchEe9EcQH4oOjiNbWVhqNVlpampqaWlJS0tXVVVhYyOFwtLW1HR0dnZ2dnZyc7OzskLoeLHR0dLx69SorKys7OzsrK6u1tRWPx9va2k6ZMsXd3d3V1bXXmDjCMIL44KiAzWY/f/788ePHjx8/zsnJ4fF41tbWU6dOdXJycnZ21tfXh1sgQm/KysqAIaanp1OpVBwO5+Tk5O7u7u7u7ujoKBxREeHrQXxwJNPR0ZGQkHDnzp1Hjx51dXUZGhqCB8nNzQ2Z2CFDNDQ0PH78OCUl5fHjxzQaTUVFZfbs2XPnzvXy8lJSUoJb3UgA8cERSHNz8927d+/cuZOamgpBkJubW0BAwKxZs5B63wigrKzs4cOHcXFxT58+xeFws2bNmjt3rq+vr5qaGtzSZBjEB0cOPB4vNTX1woULd+/exWAwHh4evr6+AQEBWlpacEtDGH7a2tru3bsXExOTnJwMQdCcOXNWrlzp7u4+1EWBCIgPjhBoNNrly5cvXbr04cOHadOmhYWF+fv7I93qo4TOzs7Y2NiLFy9mZ2cbGxuHhYWFhISQSCS4dckSiA/KNtXV1eHh4VeuXFFSUgoMDFy/fr2Ic6QRRh4lJSWRkZGXLl36+PFjSEjInj17dHV14RYlI8Ad8AbhC6moqFi+fDkWizU2Nr569aokw80jSDNdXV0RERF6enry8vIbNmwYJHkDggDEB2UPFou1e/dugQOOjEyeCMMLi8WKiIggk8kEAuHw4cNIPMTBQdrFMkZWVlZoaCiNRjt06NDKlSuReWQIg8Bms48fP/7zzz9bWlpeunQJlsBrMgGSp0lm4PP5e/bscXFxIZPJb968WbNmDWKCCIODx+N37NiRn5+PxWIdHBxOnDgBtyIpBakPygYcDicoKOju3bunT59euXKluItLT08XvjEcHR0JBAJYpwz26OnpGRkZCR8C8ud9QVk5OTkgqJ+rqysaLZM/zDweLzc3197eXmr183i8I0eO7N69e/Xq1REREcjcmt7A3TBH+Dw8Hm/hwoVKSkppaWmSKTEmJsbf3x+CoAkTJkRHR3d1dfH5/NLS0v379+NwuKNHjwpnyKuvr58zZ461tfWXlZWbmwvKYjKZw3cFEuXcuXMQBJ0+fRpuIZ8hLi4Oh8OtX78ebiFSB+KDMsCRI0ewWOzjx48lWSidTqdQKGg0OisrS7Bzzpw5R44cEf7YtWvXNDU1cTjcF/sgn8/fvXu3TPtgUVGRr69vQUGBYE9paSmsigYkJiYGhUJdvXoVbiHSBeKD0k51dTUejz98+LDki37w4AEEQd988w1Iwnv27Fl3d3fh7JevX78+dOgQjUZzdHQczT7Yi/r6egsLC7hVDMiWLVtUVVXb2trgFiJFIB3t0s7x48d1dXU3b94s+aI9PT2DgoKuXbt25MiRuXPnHjx4MCsrS7hrydra2traWsSz5eXlmZubDxJQD41GczicoqIiZWVlY2Nj4bcaGhqqqqpARFgwOvT27duGhgYsFjtlyhQIgkpLS7u6ujo7O4X3UCgUkEpJlMOrqqoE2iZOnNhrNc6bN29ATOn29nY1NTXhA+Xl5UHcRmNjY11dXRaL9fPPP7e3t6elpREIBEdHR3CGysrKlpYWY2NjsBC4rwCBWnGzb9++yMjIc+fO7dq1SwLFyQZwGzHCZzAwMNizZw9cpbe0tGhpaeHxeDMzs7i4uIE+9tn64Pnz50EGlX7f3b17NxqN3r59u62tLVgCIejDam9v9/X1NTMz27Rpk7+/v5aW1o0bN0DD08/PT15ePikpycbGBoKgf/75p9eekpIS0Q8/cZjBOKkAAArGSURBVOLEmDFj9PT0EhISQM2UwWAUFhYCGSUlJRs2bPD09IyPj+914LNnzy5cuCDoHzx79uyECRNUVVW3b99+9OhRPp/f2Ng4depUGxubjRs3ksnk9evX83i8vgJAHFbJsHr16kmTJkmsOOkH8UGphs1mo1CoQQxIAly/fh2CICMjI+EWcS8+64NUKtXHx2egCwHt4vb2drC5fPlyFArV2trK5/Pnz59vZGT06dMn8NaBAwfk5ORATxw4KiIiorCwcM2aNSUlJX33DOnwTZs2odFoQcb3ixcvamhogD4BoCopKanfA2k0mvA4ybx58wwNDQVX5+fnR6FQGAwGn89/+fIlBEGxsbH9nmco/5av4vz582pqahIrTvpBfFCq6e7uRqPRf//9N4wakpOTQVv47NmzA31mePsHr127BkFQQUFBa2srGo3etm2b4JNtbW0QBG3cuLHXUSwWi8Ph9NrT2Ng4pMNzcnIgCDp58iT4sIuLCwRBwLs5HI6ZmRlYldH3wEF8sL29HY1Gb9iwQaCBSCQuXbq03/N88Rc4VP744w91dXWJFSf9SOl0JwQAFosdN27c69ev4RLQ2tq6YsWKuLg4JSWl7du3gwde3IB0KDwer7i4mMfjCYdNVFNTU1dXp1KpvQ7B4/G9ZpXj8fiysrIhHW5vb29mZnbz5k0IgioqKhQVFTU0NCIjIyEIevLkiZubW988LX3L7UV5eTmPx2MymWn/QiAQampqhnqe4SU/P79XD+woB/FBacff3//atWvd3d2wlB4aGrp+/Xo/P78DBw7Q6fT//ve/kiwdJJbqZRA4HE6QcGrYD1+6dOmLFy+qq6sjIyNXrFixePHi+/fvt7a2xsbGLlq06AsuAfzj6urqBD64atWqoKCgLzjVcPHx48fY2FgwZxMBgPigtLN58+b6+vpjx45Jvuhz584xGAwwVL1u3TonJ6fExMTo6GiJCdDR0QHZBQR7QEtTxOSWX3D4kiVLUChUdHR0YmKir69vSEhId3f39evX8/PzJ0+e/AWXAILguri47BMiLCzsC041XOzZs4fH461evRpGDdIG4oPSDplM/vXXX/fu3ZuSkiLJcouLiw8ePBgVFQU6B9Fo9KVLl3A43MaNG8EMkqGSl5fHZDKHdIipqSmZTH716pVgz6tXr9hstoeHh5gOp1Aorq6uhw8fdnJywuFwdnZ2VlZW+/btc3NzE30tGhqN7unpAa+NjIxIJNKjR49EPFbc3L59+9SpU6dOnVJVVYVbixSB+KAMsGXLlsDAQH9/f5BvRAKw2ezFixefPn0aVKkA5ubmu3btamlp2bhx41BPePHiRXt7+1WrVg3pKDQafeLEiYSEhKtXrzIYDCqVunLlSkdHx5CQEPEdHhQU1NnZuWzZMrAZEhLS3t4+pEaxgYEBjUaLjo5+8OABnU7fv3//kydPli5dmpSU9PTp05iYmLy8PNHPNozExsYGBQVt3LgR3oa5FILZt28f3BoQPgMKhfLz8ysuLt61a5eGhoaDg4NY18nHxcX9+OOPKBSqsrJSQ0PDwMAA7D9z5kxmZqa2tvanT58ePnxoYGDQ3t7+yy+/XLp0icvlEgiE+Pj4p0+f6unp9W14EggEGo22ZMkSU1PTXm8lJCSkpKSQSKQ3b97Y2dnl5+dHR0erq6tXVVXZ2to6OjrOnDkzPj7+/Pnzz549CwgIOHXqlLy8vOCo/Px8IpFIoVD67oEgyMzMTMTDBXoMDQ0rKys3bdoENo2MjGpqatatW9dLreDAR48enTt3TllZubm5uaamZvLkyTY2Nk1NTS9fvuRwOFOnTnV2dnZxcaFSqY8ePSopKVFUVHRzc0tOTh5IgDjo6ekJDw9fu3bt2rVrjx8/jsRZ6AUSb0Zm4PP5+/fv/+WXX2bMmHHx4kUk+RyCiBQXFy9fvvz169dHjx5dv3493HKkEaRdLDOgUKg9e/a8ePGioaHB0tIyIiKCy+XCLQpBqmGz2QcOHLCzswNxfRATHBC4JzAiDBk2m/3jjz9isVhDQ8MrV64gcfkR+sJkMk+dOqWrq0sgEI4cOYLE5R8cxAdllcrKyrCwMOCGly9fRvI0IQAYDMbJkyfHjh1LIBA2btyI5GkSBaR/ULapqak5duzY+fPnCQTC/Pnz161bh+SgGLUUFxdHRUVdvHiRwWAsW7YMydspOogPjgRqa2svX758+fLl9+/fu7q6hoWFBQQEKCkpwa0LQRJ0dHTExMRcvHjx1atXpqamYWFhy5Yt09TUhFuXLIH44MiBx+OlpqZeuHDh7t27GAzGw8PD19fX39+fRCLBLQ1h+GltbU1MTIyJiXn06BEKhZozZ87KlSvd3d2ROTFfAOKDI5CWlpZ//vnnzp07jx8/5vF406dPnzt37syZMw0NDeGWhvC1lJSUPHz4MC4u7tmzZ3g83tPTMyAgwMfHB1kf8jUgPjiS6ezsTExMvHPnTlJSEoPBMDAwcHd39/DwcHNzA+teEWSCurq6x48fp6SkPH78uLa2VlVV1dvbOyAgwMvLS0FBAW51IwHEB0cF3d3dWVlZ4Fl6+fJlT0+PtbW1q6uro6Ojk5PT+PHj4RaI8D/w+fyysrLs7OysrKz09PTi4mI8Hu/s7Ax+xiZOnNg3AhjC14D44KiDTqenpaU9fvz4+fPnr1+/5nA4JBIJGKKTk5O9vT2RSIRb42iktbX11atX2dnZwP7a29vl5eVtbW2nTJni4eExdepUpOonPhAfHNVwOJzCwsLMzMzc3Nzc3Nzi4mIQrsrCwsLc3Nze3t7CwuKbb77B4/FwKx1pcLncmpoaKpUq+Oarqqr4fL6Ojo69vb2Li8uUKVMcHBwGSWuFMIwgPojw/9TV1eXn5xcVFRUUFBQVFZWWlnK5XHl5eQsLiwkTJhgbG5uYmBgbGxsbGyO98kOitbW1vLy8rKysvLy8vLy8tLS0uLi4u7sbh8OZmZlZWVlZWlpaW1vb2toi/bawgPggwoCw2ezi4uLCwsI3b96UlpaWlZVVVVWBAMtaWlrAFvX19SkUCplMJpPJ48aNG+X1l66urvfv39P+paKiAhhfe3s7CL4PfkVMTEyA95mammKxWLhVIyA+iDAUenp6qqurBZWad+/eVVdXV1dXd3V1gQ+QSCTgiRQKhUQi6ejoaGlpkUgkbW1tEokkmfy8YoXBYDQ2NjY2NjY3Nzf+S3V1NTC+1tZW8DFlZWUKhaKvry+oQRsbG5PJZDQaiWwijSA+iDAMtLS0ACOorq6uqakBr4FHfPr0SfAxJSUlYIjq6upEIlFVCCKRqKamBl5jsVgVFRUcDtcrmbo4+PTpE4fD6ezs7O7u7ujo6Ozs7OjoaG9v7+joEGyCPQ0NDY2NjQLHB2ano6NDIpEoFAqoFFP+Bek3kC0QH0QQL0wms6mpqb6+vrm5ubm5GbwARiNwGfCi38MJBIK8vLySkhIwRzBfREFBQXjoBoPBqKioCB/V0dEhfGOzWCyQEoDL5dLpdDab3dXV1dXVNVDCJoEjC8xaTU0N1GoF1VstLa1R3gkwkkB8EEFaEJijoILGYDCYTCaLxQK1NoG7ffz4UZAABMyOZDAYwqcCvinYlJOTU1ZWFjgmqGkCh1VWVpaTkwOVUIHxSfa6EeAH8UEEBITRDtJri4CAMNpBfBABAWG0g/ggAgLCaOf/AB92MHLbURtUAAAAAElFTkSuQmCC", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(simplified)" ] }, { "cell_type": "markdown", "id": "33243f0b-26d7-49cc-8d3d-ad9d3d7da588", "metadata": {}, "source": [ "The SPARQL translation of the term will take the disjunction into account:" ] }, { "cell_type": "code", "execution_count": 20, "id": "f57d5c27-87f7-4d11-81fc-21a103f1bd8f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "prefix : \n", "SELECT DISTINCT ?X WHERE {\n", " ?X rdf:type ?type0 .\n", " VALUES ?type0 { :psych_horror :psych_thriller }\n", " ?X :directed_by ?X0 .\n", " ?X0 rdf:type :thrillerdirector .\n", " ?X0 :director_of ?X .\n", " ?X0 :spouse ?X1 .\n", " ?X1 rdf:type :horrorwriter .\n", " ?X1 :spouse ?X0 .\n", " ?X1 :writer_of ?X .\n", " ?X :written_by ?X1 .\n", "}\n" ] } ], "source": [ "print(simplified.to_sparql())" ] } ], "metadata": { "kernelspec": { "display_name": "fosf", "language": "python", "name": "fosf" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 5 }