From ba4041003b0bbe0c0573e4594d0f75bd0113247e Mon Sep 17 00:00:00 2001 From: refraction-ray Date: Thu, 19 Dec 2024 11:22:58 +0800 Subject: [PATCH] some fix --- lectures/0_qc_ingredients.ipynb | 2 +- lectures/1_qc_algorithms.ipynb | 1 - lectures/2_qc_nisq.ipynb | 141 ++++++++++++-------------------- lectures/3_qc_error.ipynb | 4 +- 4 files changed, 55 insertions(+), 93 deletions(-) diff --git a/lectures/0_qc_ingredients.ipynb b/lectures/0_qc_ingredients.ipynb index 86d3833..cabdac1 100644 --- a/lectures/0_qc_ingredients.ipynb +++ b/lectures/0_qc_ingredients.ipynb @@ -121,7 +121,7 @@ "\n", "print(f\"the state in vector form is {tensor_product(*[v_list[int(i)] for i in s])}\")\n", "\n", - "# the nonzero element is exact the 5-th (0-indexed)" + "# the nonzero element is exactly the 5-th (0-indexed)" ] }, { diff --git a/lectures/1_qc_algorithms.ipynb b/lectures/1_qc_algorithms.ipynb index c8ac0db..ca45dd6 100644 --- a/lectures/1_qc_algorithms.ipynb +++ b/lectures/1_qc_algorithms.ipynb @@ -13,7 +13,6 @@ "metadata": {}, "outputs": [], "source": [ - "from functools import partial\n", "import itertools\n", "import warnings\n", "\n", diff --git a/lectures/2_qc_nisq.ipynb b/lectures/2_qc_nisq.ipynb index bab93ba..24c1355 100644 --- a/lectures/2_qc_nisq.ipynb +++ b/lectures/2_qc_nisq.ipynb @@ -16,7 +16,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -57,25 +57,25 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 2, "metadata": {}, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "6.5984816e-05\n" - ] - }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5.5414308e-05\n" + ] } ], "source": [ @@ -102,6 +102,7 @@ "plt.plot(fhistory)\n", "plt.xlabel(\"step\")\n", "plt.ylabel(\"value\")\n", + "plt.show()\n", "print(fhistory[-1])" ] }, @@ -123,22 +124,12 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 3, "metadata": {}, "outputs": [ { "data": { - "text/plain": [ - "Text(0, 0.5, 'value')" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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YPkh77ty5JCQkEBAQQHJyMmvWrDll282bNzN+/HgSEhKwWCzMmTPnpDbPPPMMFovF5dGvXz+XNhUVFdx3331EREQQHBzM+PHjyc/Pd/ehnb0TepAA54SRmw8UmVWRiIjIOcHUgDR//nzS0tJ4+umnWb9+PYMGDWL06NGnPC9bXl5Oz549mTVr1mnPLV5wwQXk5uY6H998843L+ocffpjPPvuMBQsWsHz5cg4cOMANN9zg1mNzi/qAVHYIqit0JZuIiEgrMTUgvfzyy0ydOpXJkyfTv39/5s2bR1BQEG+99Vaj7YcNG8bs2bO5+eab8fc/9SkmHx8fYmJinI/IyEjnuqKiIt58801efvllfvrTn5KUlMTbb7/NypUrWbVqlduP8awEdgSfQMfr4v1cEBcGaKC2iIiIp5kWkKqqqsjMzCQ1NfV4MVYrqampZGRknNW2t2/fTlxcHD179uTWW28lJyfHuS4zM5Pq6mqX/fbr149u3bqddr+VlZUUFxe7PDzOYmlwqb+jB2nnoVIqqms9v38REZFzlGkB6fDhw9TW1hIdHe2yPDo6mry8vBZvNzk5mXfeeYdFixbx2muvsXv3bi677DJKSkoAyMvLw8/Pj/Dw8Gbtd+bMmYSFhTkf8fHxLa6xWU641D8qxJ+IDn7YDcjKK2md/YuIiJyDTB+k7W5XXXUVN954IwMHDmT06NF88cUXFBYW8s9//vOstjt9+nSKioqcj71797qp4jNwDtTeh8ViOWGgtk6ziYiIeIppASkyMhKbzXbS1WP5+flnPbnTicLDwznvvPPYsWMH4Jigq6qqisLCwmbt19/fn9DQUJdHqzihBwmOX8m2JVdXsomIiHiKaQHJz8+PpKQk0tPTncvsdjvp6emkpKS4bT+lpaXs3LmT2FjHjV+TkpLw9fV12W9WVhY5OTlu3a/bNLzUP1YzaouIiHiaqRNFpqWlcfvttzN06FCGDx/OnDlzKCsrY/LkyQBMmjSJLl26MHPmTMAxsHvLli3O1/v372fjxo0EBwfTu3dvAB555BF+9rOf0b17dw4cOMDTTz+NzWZj4sSJAISFhTFlyhTS0tLo1KkToaGh3H///aSkpHDRRReZ8FM4g7Djk0UCXFDXg7Qtr4Rau4HNqnv4iIiIuJupAWnChAkcOnSIGTNmkJeXx+DBg1m0aJFz4HZOTg5W6/FOrgMHDjBkyBDn+xdffJEXX3yRkSNHsmzZMgD27dvHxIkTKSgooHPnzlx66aWsWrWKzp07Oz/3yiuvYLVaGT9+PJWVlYwePZo///nPrXPQzRVa14NUF5B6RAYT4GulvKqW7IIyenUONrE4ERGR9sliGIZhdhHeqLi4mLCwMIqKijw7HqmyFGbW9SI9kQMBYVw391u+21vIHycO4dpBcZ7bt4iISDvT1N/f7e4qtnbHP9gxYSQ4e5EG1F/Jtl8DtUVERDxBAckbhLmeZhvY1TGj9qZ9CkgiIiKeoIDkDcK6OZ4LHTOCJ3YJB+CH/UXY7TpDKiIi4m4KSN6gQQ9Sn+hg/H2slFTWkF1QZmJhIiIi7ZMCkjcIr7utSV1A8rVZnZf76zSbiIiI+ykgeQNnD9Lx25sM7BoOKCCJiIh4ggKSNwhz7UECSOziGKj9/f5CEwoSERFp3xSQvEF9QCrJhdpqAAbFOwLSD/uLqam1m1WZiIhIu6SA5A06dAabHxh2KD4AOGbU7uBn41h1LTsPaaC2iIiIOykgeQOr9aQr2WxWCxd0qZ8PqdCkwkRERNonBSRv0dhAbec4JA3UFhERcScFJG/hHKh9QkCKDwfgO13JJiIi4lYKSN6iPiAVntyDtDW3mKoaDdQWERFxFwUkb9FgDBJA94ggQgJ8qKqx82N+iUmFiYiItD8KSN4i/ORTbBaLxXnjWo1DEhERcR8FJG9x4mSRxvEb1B6fUbuw9WsSERFppxSQvEVoF8dzdTkcO+pcPNB5qb96kERERNxFAclb+AZAhyjH68I9zsWJdafYsvJKqKiuNaMyERGRdkcByZuEd3M8n3AlW5fwQCI6+FFjN9iWp4HaIiIi7qCA5E2cASnHuchisTh7kTQOSURExD0UkLxJ/ZVsJwQk0DgkERERd1NA8ib1PUgnXOoPkFh3Jdv3CkgiIiJuoYDkTcK7O54b9CANqjvFtv1gCaWVNa1dlYiISLujgORNThyDdMJcSFGhAXQJD8RuwKa9hebUJiIi0o4oIHmT+skiK4uhotBl1ZBu4QCszzmKiIiInB0FJG/iFwRBkY7XDU6zXditIwDrcwpbuSgREZH2RwHJ2zQyFxIc70HakHMU44TTbyIiItJ8CkjeppG5kAAuiAvDz8fK0fJqsgvKTShMRESk/VBA8janCEh+PlYS6+ZDWr9H45BERETOhgKStzlFQAIYEh8OwIa9CkgiIiJnQwHJ25wmIF3YvW6g9p7CVixIRESk/VFA8jbO2bQbCUh1V7JtyyumTBNGioiItJgCkrepnwupogiOFbqsigkLIDYsALsB3+nGtSIiIi2mgORt/IMhKMLxusE92eB4L9IGzYckIiLSYgpI3qi+F6mxgdonzIckIiIiLaOA5I3qxyEd3XPSqiEnzKitCSNFRERaRgHJG3Xs7nhupAdpQJdQ/GxWjpRVkXNEE0aKiIi0hAKSNwqvC0hHs09a5e9j44IuoYBuXCsiItJSpgekuXPnkpCQQEBAAMnJyaxZs+aUbTdv3sz48eNJSEjAYrEwZ86ck9rMnDmTYcOGERISQlRUFOPGjSMrK8ulzeWXX47FYnF53HPPPe4+NM/p2MPxXHjyKTaAIfGaD0lERORsmBqQ5s+fT1paGk8//TTr169n0KBBjB49moMHDzbavry8nJ49ezJr1ixiYmIabbN8+XLuu+8+Vq1axeLFi6murubKK6+krKzMpd3UqVPJzc11Pl544QW3H5/H1J9iO7oHGhlndGH3cEAzaouIiLSUj5k7f/nll5k6dSqTJ08GYN68eXz++ee89dZbPPHEEye1HzZsGMOGDQNodD3AokWLXN6/8847REVFkZmZyYgRI5zLg4KCThmy2ryweMAC1WVQdhiCO7usrr/Uf2tuCeVVNQT5mfo1i4iIeB3TepCqqqrIzMwkNTX1eDFWK6mpqWRkZLhtP0VFRQB06tTJZfn7779PZGQkAwYMYPr06ZSXn35Ac2VlJcXFxS4P0/gGQEis43Ujp9liwwKIDvWn1m6waV9RKxcnIiLi/UwLSIcPH6a2tpbo6GiX5dHR0eTl5bllH3a7nYceeohLLrmEAQMGOJffcsstvPfeeyxdupTp06fz97//ndtuu+2025o5cyZhYWHOR3x8vFtqbLGOpx6obbFYnL1IGqgtIiLSfO363Mt9993HDz/8wDfffOOy/K677nK+TkxMJDY2llGjRrFz50569erV6LamT59OWlqa831xcbG5IaljAuRknHKgdlL3jvznhzzW7j4Cl7dqZSIiIl7PtIAUGRmJzWYjPz/fZXl+fr5bxgZNmzaNhQsXsmLFCrp27XratsnJyQDs2LHjlAHJ398ff3//s67LbU5zqT9Acg/H7UjW7TlKrd3AZrW0UmEiIiLez7RTbH5+fiQlJZGenu5cZrfbSU9PJyUlpcXbNQyDadOm8fHHH/PVV1/Ro0ePM35m48aNAMTGxrZ4v62uY4LjuZHZtAHOjw2hg5+NkooatuWZOF5KRETEC5l6ii0tLY3bb7+doUOHMnz4cObMmUNZWZnzqrZJkybRpUsXZs6cCTgGdm/ZssX5ev/+/WzcuJHg4GB69+4NOE6rffDBB3z66aeEhIQ4xzOFhYURGBjIzp07+eCDDxg7diwRERFs2rSJhx9+mBEjRjBw4EATfgot5JxNu/GA5GOzkpTQiRU/HmLt7iNcEBfWisWJiIh4N1MD0oQJEzh06BAzZswgLy+PwYMHs2jRIufA7ZycHKzW451cBw4cYMiQIc73L774Ii+++CIjR45k2bJlALz22muAYzLIE7399tvccccd+Pn5sWTJEmcYi4+PZ/z48fz2t7/17MG6W/0ptsK9UFsDtpO/yuEJHR0BKfsod1xy5p40ERERcbAYuqNpixQXFxMWFkZRURGhoaGtX4DdDv8bDbVV8OCm4z1KJ1iz+wg3/SWDyGB/1v5mFBaLxiGJiMi5ram/v02/1Yi0kNUK4d0cr09xmm1g1zD8bFYOl1aSXaAb14qIiDSVApI3Cz/hliONCPC1MTg+HIA1uwtaqSgRERHvp4DkzZxXsmWfssmwHo4JI9fs1oSRIiIiTaWA5M3OcCUbwPC6+ZDWZKsHSUREpKkUkLxZfQ/Skd2nbHJht3CsFth75Bi5Rcdapy4REREvp4DkzTrWXbp/9NQBKSTA1zkH0prdR1qjKhEREa+ngOTNOtUFpPICqDj1bNnDEjoBsDZbAUlERKQpFJC8mX8IBEU6Xp+mF2l4j7qApIHaIiIiTaKA5O3qe5FOMw5pWILjSras/BKOllW1RlUiIiJeTQHJ2zVhHFJEsD+9o4IBWLdHvUgiIiJnooDk7ZrQgwTHxyFpwkgREZEzU0Dydk3oQQJIrhuHtCZbPUgiIiJnooDk7Zw9SNmnbTasLiD9sL+I0soaDxclIiLi3RSQvF19D1LxPqg59QDsLuGBdOsURK3dYK3mQxIRETktBSRvFxwFvh3AsENhzmmbXtzLcduRb3ccbo3KREREvJYCkrezWE64ae3pxyFd3NsxZ9LKnRqoLSIicjoKSO1BE69kS+np6EHaklvMEc2HJCIickoKSO1BE3uQOof40zc6BIAM9SKJiIickgJSe9DEHiSAi3s7epFW7tQ4JBERkVNRQGoPmjgXEsDFvTQOSURE5EwUkNqDTj0dz0ezwW4/bdPknp2wWmD34TIOFB7zfG0iIiJeSAGpPQiLB6sP1FRA8f7TNg0N8GVg13BAvUgiIiKnooDUHth8jg/UPrLzjM3r50NaqfmQREREGqWA1F506uV4LjhzQLrkhPmQDMPwZFUiIiJeSQGpvYioC0hHdp2xaVL3jvj5WMkrrmDX4TIPFyYiIuJ9FJDai/qB2k0ISAG+NpK6dQR0mk1ERKQxCkjtRUTTT7EBXOKcD0kDtUVERBpSQGovnJf67wZ77Rmbp9TNh5SxqwC7XeOQRERETqSA1F6ExYPND2qroGjfGZsP6hpGsL8PheXVbMktboUCRUREvIcCUnthtTXrUn8fm5XhPToB8K3GIYmIiLhQQGpPmnGpP8CldZf7f71dAUlERORECkjtSTMu9QcY2bczAGt2H6G8qsZTVYmIiHgdBaT2pH6gdhN7kHpGdqBrx0Cqau2s2qWr2UREROopILUnzh6kpgUki8XCyPMcvUjLsw55qioRERGvo4DUntSPQTqaDbVNO2VWH5CW/aiAJCIiUk8BqT0J7QI+AWCvgaKcJn3k4t6R+Nos7CkoJ1u3HREREQEUkNoXqxU69nC8buI4pGB/H4Z2d1zuv1y9SCIiIoACUvsT2dvxfHh7kz9SfzWbApKIiIiD6QFp7ty5JCQkEBAQQHJyMmvWrDll282bNzN+/HgSEhKwWCzMmTOnRdusqKjgvvvuIyIiguDgYMaPH09+fr47D8s8EX0czwXNCEh145AydhZQUX3m25SIiIi0d6YGpPnz55OWlsbTTz/N+vXrGTRoEKNHj+bgwYONti8vL6dnz57MmjWLmJiYFm/z4Ycf5rPPPmPBggUsX76cAwcOcMMNN3jkGFtdZF1AakYPUr+YEKJD/TlWXcva7CMeKkxERMR7mBqQXn75ZaZOncrkyZPp378/8+bNIygoiLfeeqvR9sOGDWP27NncfPPN+Pv7t2ibRUVFvPnmm7z88sv89Kc/JSkpibfffpuVK1eyatUqjx1rq3H2IO1o8kd0ub+IiIgr0wJSVVUVmZmZpKamHi/GaiU1NZWMjAyPbTMzM5Pq6mqXNv369aNbt26n3W9lZSXFxcUujzapfgxSSS5UljT5YyPPiwI0DklERARMDEiHDx+mtraW6Ohol+XR0dHk5eV5bJt5eXn4+fkRHh7erP3OnDmTsLAw5yM+Pr5FNXpcYEcIctxjrTm9SJf2jsRqge0HS9lfeMxDxYmIiHgH0wdpe4vp06dTVFTkfOzdu9fskk7NOQ6p6QEpLMiXId06ArBCvUgiInKOMy0gRUZGYrPZTrp6LD8//5QDsN2xzZiYGKqqqigsLGzWfv39/QkNDXV5tFkRdafZmnElG8Dl9bNqZzU+SF5ERORcYVpA8vPzIykpifT0dOcyu91Oeno6KSkpHttmUlISvr6+Lm2ysrLIyclp8X7bnBZcyQbH50P6dkcB1bV2d1clIiLiNXzM3HlaWhq33347Q4cOZfjw4cyZM4eysjImT54MwKRJk+jSpQszZ84EHIOwt2zZ4ny9f/9+Nm7cSHBwML17927SNsPCwpgyZQppaWl06tSJ0NBQ7r//flJSUrjoootM+Cl4QAvmQgIYEBdGZLAfh0urWLv7CBf3jvRAcSIiIm2fqQFpwoQJHDp0iBkzZpCXl8fgwYNZtGiRc5B1Tk4OVuvxTq4DBw4wZMgQ5/sXX3yRF198kZEjR7Js2bImbRPglVdewWq1Mn78eCorKxk9ejR//vOfW+egW0N9D1LBTrDbHbcgaQKr1cJP+0Xxz3X7+HJLvgKSiIicsyyGYRhmF+GNiouLCQsLo6ioqO2NR6qthv+Ncdy09uHNENa1yR/9cnMed/09k64dA/n6sZ9gsVg8WKiIiEjraurvb13F1h7ZfKFjguN1M8chXdanM/4+VvYdPUZWftPnURIREWlPFJDaq8jzHM/NmAsJINDPxmV9HKfWFm9uJ/enExERaSYFpPaq/lL/wz82+6Op5zvGay3ZqoAkIiLnJgWk9qpzP8fzoW3N/uio86OxWOC7fUXkF1e4uTAREZG2r8UBaceOHfz3v//l2DHHbSk01ruN6dzX8Xyo+T1InUP8GRwfDqgXSUREzk3NDkgFBQWkpqZy3nnnMXbsWHJzcwGYMmUKv/71r91eoLRQ/aX+pXlQUdTsjztPs21RQBIRkXNPswPSww8/jI+PDzk5OQQFBTmXT5gwgUWLFrm1ODkLAWEQEut43YJepCv7OwLStzsLKKuscWdlIiIibV6zA9KXX37J888/T9eurnPr9OnThz179ritMHED52m25o9D6h0VTPeIIKpq7Hy9XTevFRGRc0uzA1JZWZlLz1G9I0eO4O/v75aixE0i6wLS4axmf9RisThPsy3eopvXiojIuaXZAemyyy7jb3/7m/O9xWLBbrfzwgsv8JOf/MStxclZ6lw3F1ILTrEBXFF3mu2rbfnU6Oa1IiJyDmn2vdheeOEFRo0axbp166iqquKxxx5j8+bNHDlyhG+//dYTNUpLncWl/gBDu3ckLNCXo+XVrM8pZHiPTm4sTkREpO1qdg/SgAED+PHHH7n00ku57rrrKCsr44YbbmDDhg306tXLEzVKS9WfYivMgepjzf64j83KT/tFAbB4S547KxMREWnTmt2DBBAWFsZvfvMbd9ci7tYhEgI7wrGjjnuyxQ5s9iZGXxDNxxv288X3eTw59nzdvFZERM4JzQ5IK1asOO36ESNGtLgYcTOLxdGLtHeV45YjLQhII8+LItDXxv7CY2zaV8SgugkkRURE2rNmB6TLL7/8pGUn9irU1taeVUHiZp3rAlILxyEF+tn46flRfL4ply++z1VAEhGRc0KzxyAdPXrU5XHw4EEWLVrEsGHD+PLLLz1Ro5wN51xIzb/Uv97ViY4JJz//Ple3lBERkXNCs3uQwsLCTlp2xRVX4OfnR1paGpmZmW4pTNzEDQHpJ30dp9n2HT3GD/uLSex68p8BERGR9qTFN6ttKDo6mqyslv8SFg+J6u94LtgBNZUt2kSgn815Ndvn3+e6qzIREZE2q9k9SJs2bXJ5bxgGubm5zJo1i8GDB7urLnGXkFjHfdkqihxXssUMaNFmxibG8vn3jnFIj4/pq6vZRESkXWt2QBo8eDAWi+WksSgXXXQRb731ltsKEzexWBy9SDkZcHBriwPST/p1JsDXSs6RcjYfKGZAF51mExGR9qvZAWn37t0u761WK507dyYgIMBtRYmbRZ1fF5C2tHgTQX4+/KRvFP/5IY/Pv89VQBIRkXat2QGpe/funqhDPKl+HNLBrWe1mbGJsfznhzy++D6Xx0brNJuIiLRfTQpIf/zjH5u8wQceeKDFxYiHRJ3veD6LHiSAn/aLwt/Hyp4CnWYTEZH2rUkB6ZVXXmnSxiwWiwJSW9S5LiAV7oHKUvAPbtFmOvg7TrMt2uzoRVJAEhGR9qpJAanhuCPxMh0iIDgaSvMd8yF1TWrxpsYOjHUGpEd1mk1ERNopt82DJG2cm06zjao7zZZdd5pNRESkPWr2IG2Affv28X//93/k5ORQVVXlsu7ll192S2HiZlH9Ydeysx6o3cHfh9Tzo/n8+1w+2bBfp9lERKRdanZASk9P59prr6Vnz55s27aNAQMGkJ2djWEYXHjhhZ6oUdyhcz/H86GzC0gA44Z04fPvc/n0uwNMH3s+NqtOs4mISPvS7FNs06dP55FHHuH7778nICCAf//73+zdu5eRI0dy4403eqJGcQc3XeoPMPK8zoQH+XKopJKVOw+f9fZERETammYHpK1btzJp0iQAfHx8OHbsGMHBwTz77LM8//zzbi9Q3CSqrgepJBfKj5zVpvx8rFwzMBaAjzfsP9vKRERE2pxmB6QOHTo4xx3Fxsayc+dO57rDh9Wb0Gb5h0DHBMfr/B/OenPXD+kCwH9/yKO8quastyciItKWNDsgXXTRRXzzzTcAjB07ll//+tf87//+L7/85S+56KKL3F6guFF03X3Y8s4+IF3YrSPxnQIpq6pl8Zb8s96eiIhIW9LsgPTyyy+TnJwMwO9+9ztGjRrF/PnzSUhI4M0333R7geJG9QHJDT1IFouF6wc7epE+0Wk2ERFpZ5p9Fdtzzz3HbbfdBjhOt82bN8/tRYmHxNT3IH3vls1dN6QLf/xqByu2H+ZwaSWRwf5u2a6IiIjZmt2DdOjQIcaMGUN8fDyPPvoo3333nSfqEk+IvsDxfGgb1J79uKFenYMZ1DWMWrvBwu8OnPX2RERE2opmB6RPP/2U3NxcnnrqKdauXcuFF17IBRdcwHPPPUd2drYHShS3CU8Av2CorYKC7W7Z5Li6wdofb1RAEhGR9qNFtxrp2LEjd911F8uWLWPPnj3ccccd/P3vf6d3797urk/cyWo93ovkhoHaANcMjMNmtfDd3kJ2HSp1yzZFRETMdlb3YquurmbdunWsXr2a7OxsoqOj3VWXeIobB2oDdA7x57I+kYAGa4uISPvRooC0dOlSpk6dSnR0NHfccQehoaEsXLiQffv2taiIuXPnkpCQQEBAAMnJyaxZs+a07RcsWEC/fv0ICAggMTGRL774wmW9xWJp9DF79mxnm4SEhJPWz5o1q0X1e5X6HiQ3BSQ4PifSv9fvp9ZuuG27IiIiZml2QOrSpQtjx47l8OHDvP766+Tn5/PWW28xatQoLJbm35Nr/vz5pKWl8fTTT7N+/XoGDRrE6NGjOXjwYKPtV65cycSJE5kyZQobNmxg3LhxjBs3jh9+OP4LPzc31+Xx1ltvYbFYGD9+vMu2nn32WZd2999/f7Pr9zoxiY5nN51iAxh9QQxhgb7sLzzGNzs0WaiIiHg/i2EYzfpf/jfeeIMbb7yR8PBwtxSQnJzMsGHD+NOf/gSA3W4nPj6e+++/nyeeeOKk9hMmTKCsrIyFCxc6l1100UUMHjz4lFMOjBs3jpKSEtLT053LEhISeOihh3jooYeaVGdlZSWVlZXO98XFxcTHx1NUVERoaGiTttEmVJbCTEePD4/uhA6RbtnsM/+3mXdWZjM2MYY/35rklm2KiIi4W3FxMWFhYWf8/d3sHqSpU6e6LRxVVVWRmZlJamrq8YKsVlJTU8nIyGj0MxkZGS7tAUaPHn3K9vn5+Xz++edMmTLlpHWzZs0iIiKCIUOGMHv2bGpqTn3p+8yZMwkLC3M+4uPjm3KIbY9/MHTs4XjtpvmQAG4a6vh5LN6ST0Fp5Rlai4iItG1nNUj7bB0+fJja2tqTBndHR0eTl5fX6Gfy8vKa1f7dd98lJCSEG264wWX5Aw88wIcffsjSpUu5++67ee6553jsscdOWev06dMpKipyPvbu3duUQ2ybYgc6nvM2uW2T/eNCGdg1jOpaQzewFRERr9fsmbS9zVtvvcWtt95KQECAy/K0tDTn64EDB+Ln58fdd9/NzJkz8fc/eUZof3//Rpd7pdhBsOVTyHXvJJ8ThsWzaV8RH67dy5RLe7RoTJqIiEhbYGoPUmRkJDabjfx815ud5ufnExMT0+hnYmJimtz+66+/JisrizvvvPOMtSQnJ1NTU3NuTHYZO8jx7OaAdO2gOAJ9bew4WMr6nKNu3baIiEhrMjUg+fn5kZSU5DJ42m63k56eTkpKSqOfSUlJcWkPsHjx4kbbv/nmmyQlJTFo0KAz1rJx40asVitRUVHNPAovFFP38yjYARXFbttsSIAvVw+MBWD+Wi8+BSkiIuc8UwMSOE51vfHGG7z77rts3bqVe++9l7KyMiZPngzApEmTmD59urP9gw8+yKJFi3jppZfYtm0bzzzzDOvWrWPatGku2y0uLmbBggWN9h5lZGQwZ84cvvvuO3bt2sX777/Pww8/zG233UbHjh09e8BtQXBnCK27ks2N8yGB4zQbwGff5VJSUe3WbYuIiLQW08cgTZgwgUOHDjFjxgzy8vIYPHgwixYtcg7EzsnJwWo9nuMuvvhiPvjgA37729/y5JNP0qdPHz755BMGDBjgst0PP/wQwzCYOHHiSfv09/fnww8/5JlnnqGyspIePXrw8MMPu4xLavdiB0Hxfsdptu4Xu22zQ7t3pGfnDuw6VMbCTblMHN7NbdsWERFpLc2eB0kcmjqPQpu1bBYsmwmDboHrX3Prpl9fsZPnvtjGoPhwPr3vErduW0RE5Gx4bB4kaSc8NFAb4IYLu+JTdwPbLQfcN8ZJRESktSggnavqA9KhbVB9zK2bjgz2Z/QFjqsK/75qj1u3LSIi0hoUkM5VIbHQoTMYtZC/xe2bn5TSHYBPNuynqFyDtUVExLsoIJ2rLJYTTrNtdPvmh/foRL+YEI5V17IgU5f8i4iId1FAOpfVB6QDG9y+aYvFwu0XJwDwt4w92O26FkBERLyHAtK5LO5Cx7MHAhLAdYPjCA3wIedIOct/POSRfYiIiHiCAtK5rEtdQDq4BarK3L75ID8fbhrqmDjy3Yxst29fRETEUxSQzmWhcY7B2oYdcjd5ZBe/SOmOxQLLsg6Rfdj9IUxERMQTFJDOdc7TbOs9svnuER34SV/H/e3+lqFL/kVExDsoIJ3r6k+z7c/02C7qL/lfkLmXssoaj+1HRETEXRSQznXOgOSZHiSAEX06kxARRElFDZ9s3O+x/YiIiLiLAtK5Lm6I4/nobig/4pFdWK0WfpGSAMDb32brkn8REWnzFJDOdYEdoVMvx2sPjUMCuGloV0L8fdhxsJSlWQc9th8RERF3UECSVjnNFhLgyy0XdQPgL8t3eWw/IiIi7qCAJNAlyfHswYAE8MtLeuBrs7Am+wgbco56dF8iIiJnQwFJTghI68Dw3Pig6NAArhvcBYDXV6gXSURE2i4FJIGYgWDzg7JDjsHaHnTXiJ4ALNqcx25NHCkiIm2UApKAb8DxG9fuXevRXZ0XHcJP+0VhGPDXr9WLJCIibZMCkjjEJzue963x+K7qe5H+lbmPw6WVHt+fiIhIcykgiUPXYY7nvas9vqvkHp0YFB9OZY1dtx8REZE2SQFJHOKHO57zN0NlqUd3ZbFYuLuuF+lvGdmUV+n2IyIi0rYoIIlDaByExYNh9+iEkfVGXxBD94ggCsur+WB1jsf3JyIi0hwKSHJcK55ms1kt/Opyxwze85bv4lhVrcf3KSIi0lQKSHJc/Wk2D1/JVu+GC7vStWMgh0sr+WCNepFERKTtUECS4+oD0r41Hp0wsp6vzcp9P+kNwLzlO6moVi+SiIi0DQpIclzMQPAJhGNH4fCPrbLL8Rd2pUt4IIdKKvmHepFERKSNUECS42y+0HWo4/Wela2ySz+f471Iry1TL5KIiLQNCkjiqvvFjudWCkgAP09y9CIdLKnkQ/UiiYhIG6CAJK7qA1JORqvt0s/Hyr11V7S9prFIIiLSBiggiauuw8DqA0V7obD1enNuHNqV2LAA8osr+ee6va22XxERkcYoIIkrvw4QO9jxuhVPs/n72JzzIv3pqx2aF0lEREylgCQnM2EcEsBNw+Lp2tExFuntlbtbdd8iIiInUkCSk5kUkPx9bDxyZV/AcUXb0bKqVt2/iIhIPQUkOVm3iwALFGyH0oOtuutrB8VxfmwoJRU1/HnZjlbdt4iISD0FJDlZYEeIvsDxes+3rbprq9XC42McvUjvrtzDvqPlrbp/ERERUECSU0m41PG8++tW3/XI8zqT0jOCqlo7ryze3ur7FxERUUCSxvUY4XjevaLVd22xWHjiqn4AfLRhH9vyilu9BhERObcpIEnjul8CFqtjHFLxgVbf/aD4cK5OjMUwYPairFbfv4iInNvaRECaO3cuCQkJBAQEkJyczJo1a07bfsGCBfTr14+AgAASExP54osvXNbfcccdWCwWl8eYMWNc2hw5coRbb72V0NBQwsPDmTJlCqWlpW4/Nq8VGH58PiQTepEAHhndF5vVQvq2g2TsLDClBhEROTeZHpDmz59PWloaTz/9NOvXr2fQoEGMHj2agwcbv3pq5cqVTJw4kSlTprBhwwbGjRvHuHHj+OGHH1zajRkzhtzcXOfjH//4h8v6W2+9lc2bN7N48WIWLlzIihUruOuuuzx2nF6p/jTbruXm7D6yA7cM7wbA7z7bTE2t3ZQ6RETk3GMxDMMws4Dk5GSGDRvGn/70JwDsdjvx8fHcf//9PPHEEye1nzBhAmVlZSxcuNC57KKLLmLw4MHMmzcPcPQgFRYW8sknnzS6z61bt9K/f3/Wrl3L0KGOu9cvWrSIsWPHsm/fPuLi4k76TGVlJZWVlc73xcXFxMfHU1RURGhoaIuPv03b+RX8/XoI7QoP/wAWS6uXcLSsistfXEbRsWr+Z9wAfnFR91avQURE2o/i4mLCwsLO+Pvb1B6kqqoqMjMzSU1NdS6zWq2kpqaSkdH4zVIzMjJc2gOMHj36pPbLli0jKiqKvn37cu+991JQUOCyjfDwcGc4AkhNTcVqtbJ69epG9ztz5kzCwsKcj/j4+GYfr9eJvwhsflC8D47sMqWEjh38+PWV5wHw0pdZFJZr8kgREfE8UwPS4cOHqa2tJTo62mV5dHQ0eXl5jX4mLy/vjO3HjBnD3/72N9LT03n++edZvnw5V111FbW1tc5tREVFuWzDx8eHTp06nXK/06dPp6ioyPnYu/ccuKGqXxB0He54vduc02wAtwzvRr+YEArLq3l58Y+m1SEiIucO08cgecLNN9/MtddeS2JiIuPGjWPhwoWsXbuWZcuWtXib/v7+hIaGujzOCfXjkHYuNa0EH5uVGT/rD8B7q/awNVeX/YuIiGeZGpAiIyOx2Wzk5+e7LM/PzycmJqbRz8TExDSrPUDPnj2JjIxkx44dzm00HAReU1PDkSNHTrudc1LvUY7nXcuhtsa0Mi7uFcnYxBjshmPAtslD50REpJ0zNSD5+fmRlJREenq6c5ndbic9PZ2UlJRGP5OSkuLSHmDx4sWnbA+wb98+CgoKiI2NdW6jsLCQzMxMZ5uvvvoKu91OcnLy2RxS+xM3xHHrkcoi2L/O1FKeHHs+/j5WVu06whffN34qVERExB1MP8WWlpbGG2+8wbvvvsvWrVu59957KSsrY/LkyQBMmjSJ6dOnO9s/+OCDLFq0iJdeeolt27bxzDPPsG7dOqZNmwZAaWkpjz76KKtWrSI7O5v09HSuu+46evfuzejRowE4//zzGTNmDFOnTmXNmjV8++23TJs2jZtvvrnRK9jOaVYb9PyJ4/WO9NO39bCuHYO4Z2QvAH7/+RZKK83r0RIRkfbN9IA0YcIEXnzxRWbMmMHgwYPZuHEjixYtcg7EzsnJITc319n+4osv5oMPPuD1119n0KBB/Otf/+KTTz5hwIABANhsNjZt2sS1117Leeedx5QpU0hKSuLrr7/G39/fuZ3333+ffv36MWrUKMaOHcull17K66+/3roH7y161101uGOJuXUA94zsRXynQHKLKnjpS82wLSIinmH6PEjeqqnzKLQLJXnwUl/AAo/ugA6Rppaz4sdDTHprDRYLfPyrSxgcH25qPSIi4j28Yh4k8RIhMRA9ADBMvZqt3ojzOnP9kC4YBjzx701Ua4ZtERFxMwUkaZr6q9l2mjsOqd5vrz6f8CBftuWV8Nevd5tdjoiItDMKSNI0J45DspvfYxMR7M9vr3bMjTRnyY/sKSgzuSIREWlPFJCkaeIvAv9QKDsE+zPP3L4VjL+wCxf3iqCyxs5vPv5BcyOJiIjbKCBJ0/j4He9F+vE/5tZSx2Kx8Nz1ifj7WPlmx2EWZO4zuyQREWknFJCk6fpe5XjOahsBCSAhsgMPpTpuZvvsZ1vYd7Tc5IpERKQ9UECSpuudChYbHNwCR7PNrsbprhE9ubBbOKWVNTy6YBN2u061iYjI2VFAkqYL6gTd6m7pkrXI3FpOYLNaeOmmwQT62sjYVcA7K7PNLklERLycApI0T/1ptjYyDqlej8gOPHn1+QA8v2gbOw6WmlyRiIh4MwUkaZ76gJT9DVQUmVtLA7cld2PEeZ2prLGT9s+NmkBSRERaTAFJmieiF0T2BXsN/Phfs6txYbFYeGH8QEIDfNi0r4i5S3eYXZKIiHgpBSRpvv7XOZ63fGpuHY2ICQvgf8Y5blz86lc7WJt9xOSKRETEGykgSfP1v9bxvGMJVLa9sT7XDopj3OA4au0GD/xjA0fLqswuSUREvIwCkjRf9ADo1BNqKmD7l2ZXcxKLxcLvr0+kZ2QHcosqeGTBd5plW0REmkUBSZrPYmnTp9kAgv19ePWWIfj5WEnfdpA3v9ENbUVEpOkUkKRl6gPS9sVQ1TZnr74gLoynrnHc0HbWf7axIeeoyRWJiIi3UECSlokdDOHdoLrMMRapjbotuRtXJ8ZSYzeY9sEGisqrzS5JRES8gAKStIzFAv3HOV7/8C9TSzkdi8XCzPGJdOsUxP7CYzw4fwO1uhWJiIicgQKStFzijY7nrEVtbtLIE4UG+PLnWy/E38fKsqxDvPRlltkliYhIG6eAJC0Xkwid+0FtJWz9zOxqTmtAlzBe+PlAAP68bCcLNx0wuSIREWnLFJCk5SwWSPy54/X3C8ytpQmuG9yFu0b0BODRBZvYcqDY5IpERKStUkCSs1N/mm33CijJM7eWJnhsdF8u6xPJsepa7vr7Oo5oEkkREWmEApKcnY4J0HU4GHb44d9mV3NGPjYrr04cQrdOQew7eoz73l9PVY1uaisiIq4UkOTsDbzJ8fzdP8yto4nCg/x4Y9JQgvxsZOwqYPpH32umbRERcaGAJGdvwHiw+UHe95D7ndnVNEnfmBDm3nIhNquFf6/fxx/St5tdkoiItCEKSHL2gjpBv2scrze8Z24tzfCTflH8z3UDAJizZDsL1u01uSIREWkrFJDEPYbc5nje9E+orjC3lma4Jbkbv7q8FwDTP/qer7cfMrkiERFpCxSQxD16Xg6hXaGiELI+N7uaZnnkyr5cNziOGrvBve+t1+X/IiKigCRuYrXB4Fscr9f/3dxamslqtfDCzweS3KMTpZU1THprNTsPlZpdloiImEgBSdynPiDtWgZHdplaSnP5+9h4fdJQ+seGcri0itv+upp9R8vNLktEREyigCTu06kH9E4FDFj3ttnVNFtYoC9/nzKcXp07kFtUwa1/Xc3BYu8ZTyUiIu6jgCTuNexOx/OGv0P1MXNraYGIYH/ev/Mi4jsFsqegnNveXK3ZtkVEzkEKSOJefa6EsHg4dhQ2f2x2NS0SExbAB3deRHSoPz/mlzLprdUUliskiYicSxSQxL2sNhg62fF67V/NreUsxHcK4v07k4no4McP+4u55Q31JImInEsUkMT9hkwCqy/sz4R9mWZX02K9o0L4YOpFRAb7syW3mJtfz+BQSaXZZYmISCtQQBL3C+7suP0IwKq55tZylvrGhDD/7uOn2ya8nkFekQZui4i0dwpI4hkp9zmeN38Chd59C49enYOZf1cKcWEB7DpUxoTXMzQFgIhIO9cmAtLcuXNJSEggICCA5ORk1qxZc9r2CxYsoF+/fgQEBJCYmMgXX3zhXFddXc3jjz9OYmIiHTp0IC4ujkmTJnHgwAGXbSQkJGCxWFwes2bN8sjxnZNiB0KPEWDUwup5Zldz1hIiOzD/7hTn1W0/fy2DrLwSs8sSEREPMT0gzZ8/n7S0NJ5++mnWr1/PoEGDGD16NAcPHmy0/cqVK5k4cSJTpkxhw4YNjBs3jnHjxvHDDz8AUF5ezvr163nqqadYv349H330EVlZWVx77bUnbevZZ58lNzfX+bj//vs9eqznnJS6n2fmu1BRZG4tbhDfKYh/3p1Cn6hg8oor+Pm8lazeVWB2WSIi4gEWwzAMMwtITk5m2LBh/OlPfwLAbrcTHx/P/fffzxNPPHFS+wkTJlBWVsbChQudyy666CIGDx7MvHmN91SsXbuW4cOHs2fPHrp16wY4epAeeughHnrooRbVXVxcTFhYGEVFRYSGhrZoG+2e3Q5/vggOZ8EVz8IlD5pdkVsUllcx9W/rWJt9FD8fK3+YMJirEmPNLktERJqgqb+/Te1BqqqqIjMzk9TUVOcyq9VKamoqGRkZjX4mIyPDpT3A6NGjT9keoKioCIvFQnh4uMvyWbNmERERwZAhQ5g9ezY1NTWn3EZlZSXFxcUuDzkDqxUurutFypjrlRNHNiY8yI+/T0nmyv7RVNXY+dUH6/lbRrbZZYmIiBuZGpAOHz5MbW0t0dHRLsujo6PJy8tr9DN5eXnNal9RUcHjjz/OxIkTXZLiAw88wIcffsjSpUu5++67ee6553jsscdOWevMmTMJCwtzPuLj45t6mOe2gRMcE0eW5sOG98yuxm0CfG28dlsStyZ3wzBgxqebeeb/NlNTaze7NBERcQPTxyB5UnV1NTfddBOGYfDaa6+5rEtLS+Pyyy9n4MCB3HPPPbz00ku8+uqrVFY2Ps/N9OnTKSoqcj727vXuK7NajY/f8VNr38yBmvYz2aLNauH34wbw6Oi+ALyzMpvJ76ylqLza5MpERORsmRqQIiMjsdls5OfnuyzPz88nJiam0c/ExMQ0qX19ONqzZw+LFy8+4zih5ORkampqyM7ObnS9v78/oaGhLg9poiG/gOAYKN4Hmz40uxq3slgs3PeT3sy7LYkgPxtfbz/MuD9/y85DpWaXJiIiZ8HUgOTn50dSUhLp6enOZXa7nfT0dFJSUhr9TEpKikt7gMWLF7u0rw9H27dvZ8mSJURERJyxlo0bN2K1WomKimrh0cgp+QbAJQ84Xq+Y3a56keqNGRDDv+65mC7hgew+XMa4ud+yNKvxKzFFRKTtM/0UW1paGm+88QbvvvsuW7du5d5776WsrIzJkx3385o0aRLTp093tn/wwQdZtGgRL730Etu2beOZZ55h3bp1TJs2DXCEo5///OesW7eO999/n9raWvLy8sjLy6OqyvGLOSMjgzlz5vDdd9+xa9cu3n//fR5++GFuu+02Onbs2Po/hHNB0mQIjobCHFj/rtnVeET/uFA+nXYJQ7t3pKSihl++s5aXvsyi1m7qhaIiItICpl/mD/CnP/2J2bNnk5eXx+DBg/njH/9IcnIyAJdffjkJCQm88847zvYLFizgt7/9LdnZ2fTp04cXXniBsWPHApCdnU2PHj0a3c/SpUu5/PLLWb9+Pb/61a/Ytm0blZWV9OjRg1/84hekpaXh7+/fpJp1mX8LrHkDvnjEEZQe2Ah+QWZX5BGVNbX8z8ItvLcqB4BLekcwZ8IQOoc07c+WiIh4TlN/f7eJgOSNFJBaoKYK/pTk6EVK/R1c+pDZFXnUpxv3M/2j7ymvqiUqxJ8/3XIhw3t0MrssEZFzmlfMgyTnGB8/uPxJx+tvXoHyI+bW42HXDe7C/027hN5RwRwsqWTiG6t4ZfGPmgpARMQLKCBJ6xp4E0T1h4pCx4Dtdq53VAif3ncJ1w/pQq3d4A/p2/n5vAyyD5eZXZqIiJyGApK0LqsNrvy94/Wa1+HwDnPraQUd/H14ZcJg/nDzYEICfNi4t5Cxf/ya+Wtz0BluEZG2SQFJWl/vUdD7CrDXwJKnza6m1Vw3uAuLHhpBco9OlFfV8vi/v+fOd9eRW9Q+bsEiItKeKCCJOa78PVhssG0h7FpmdjWtpkt4IB9MvYjpV/XD12YhfdtBrnx5BR+szsGu6QBERNoMBSQxR1Q/GHan4/Xnj0BN47d4aY9sVgt3j+zF5w9cxuD4cEoqa3jy4++55a+rNDZJRKSNUEAS8/zkSegQBQXbYeWrZlfT6s6LDuHf917MU9f0J9DXxqpdRxg9ZwV/TN9ORXWt2eWJiJzTFJDEPIHhMPo5x+sVs+FotpnVmMJmtTDl0h7896ERXNI7gsoaOy8v/pHRc1awdJtuVSIiYhYFJDFX4s8h4TKoqYCFD8M5elVXt4gg3puSzB8nDiE61J89BeVMfmctd767jpyCcrPLExE55yggibksFrhmDvgEwM6vYOP7ZldkGovFwrWD4kj/9eXcNaInPlYLS7bmk/rycn6/cAuF5e3vJr8iIm2VApKYL7K3YzwSwKInoTjX3HpMFuzvw5Njz+c/D17GZX0iqaq189dvdjNy9jLeWLGLyhqNTxIR8TTdi62FdC82N6utgTevgAProc9ouGW+o3fpHGcYBst/PMTML7aRlV8CQNeOgTw4qg/XD+mCj03/jyMi0hy6Wa2HKSB5QP4WeH0k1FbB1S8dnwZAqLUb/CtzLy99+SMHSxxTIvSM7MCDqX24ZmAcNqvCpIhIUyggeZgCkodk/Bn+Ox18AuHu5dC5r9kVtSnlVTX8LWMPf1m+k6Pl1QD0iQrm/lF9uDoxVkFJROQMFJA8TAHJQ+x2eH+8Y8B2TCJMWQK+AWZX1eaUVtbwzre7eX3FLooragDoHhHEXSN6Mv7CrgT42kyuUESkbVJA8jAFJA8qyYPXLobyAhj6S7jmFbMrarOKK6p5+5ts3lm529mjFBnsz5RLe3DL8G6EBfmaXKGISNuigORhCkgetmMJvPdzwIDrX4dBE8yuqE0rr6ph/tq9vLFiFweKKgAI8LVy/ZAu3H5xAv1i9GdURAQUkDxOAakVLJ0Jy2eBbxBMWQwxA8yuqM2rqrHz6cb9vPnNbrbllTiXJ/foxB0XJ3BF/2hd+SYi5zQFJA9TQGoF9lp4/+eO8Uhh3WDqVxDc2eyqvIJhGKzZfYS/Zexh0eY8au2Ov+ZxYQHcktyN8UldiQ0LNLlKEZHWp4DkYQpIraT8CPx1FBzZBd1SYNKn4ONvdlVeJbfoGO+vyuEfa3IoKHPMxm21wKV9OvPzpK5c2T9ag7pF5JyhgORhCkit6NCP8NdUqCyCxJvg+r+AVaeJmquiupbPN+Uyf91e1uw+4lweGuDDzwbF8fOkrgyOD8eiCTpFpB1TQPIwBaRWtiMdPrgJ7DVw8QNw5f+YXZFX21NQxr8z9/Hv9fvZX3jMubxnZAfGJsZy9cBY+sWEKCyJSLujgORhCkgm2PgP+OQex+srfw8X329uPe2A3W6QsauAf2Xu4z8/5FJRbXeuU1gSkfZIAcnDFJBM8s0rsOQZx+uxL8LwqaaW056UVtaQvjWfzzflsuzHQ1TVuIalKy+IYdT5UQyJD9eVcCLitRSQPEwBySSG4QhI385xvP/ZHyDpDhMLap9KKqr5atvBRsNSWKAvl/ftzE/7RTHyvM6EB/mZWKmISPMoIHmYApKJDAO+/C1k/Mnx/qoXIPluc2tqx+rD0lfbDrIs6xBFx6qd66wWGNq9E5f1ieTi3pEM6hqm3iURadMUkDxMAclkDUPS5U/CyMdA42Q8qqbWzoa9haRvPcjSbQfJyi9xWR/s70Nyj05c3DuSS3pH0DdaY5dEpG1RQPIwBaQ2wDBgxWxY+r+O90l3OMYl2XT/sday90g5y348xModh8nYVUBhebXL+ogOfgxN6MjQ7p1ISujIgLgw/HzUwyQi5lFA8jAFpDZk9evwn8cAA3peDje+C4HhJhd17rHbDbbkFvPtjsN8u7OAtbuPcKy61qWNv4+VQfHhDO3ekaTuHUnsGkZUSIBJFYvIuUgBycMUkNqYbV/Av++E6jLo1BNu+hvEJJpd1TmtqsbO9/sLWZd9lLXZR8ncc4SjDXqYAGJCAxjQJYyBXcNI7BJGYtcwIoM1W7qIeIYCkocpILVBud/Bh7dC0V7wCXCcbhtym8YltRGGYbDzUBmZe46wNvso3+0tZMehUhr7Fyg2LIDELmEM6BJG35gQzosOoVunIGxWfZcicnYUkDxMAamNKj8CH02FHUsc78//GVzzB+gQYW5d0qiyyhq25BazaV8RP+wvYtO+QnYdLms0NPn7WOkTHcx50SH0jQ7hvLrgFBcWoIHgItJkCkgepoDUhtnt8O0rsPQ5x61JOnSGMbNgwHj1JnmB0soaNu8v4vv9RWzJLebH/BK255dSecJcTCfq4GejR+cOJER0oGdkBxLqHj0jO2iOJhE5iQKShykgeYHc7+Cju+HQVsf7Xj91BKXOfc2tS5qt1m6w90g5Wfkl/JhX4njOL2HXoTJq7Kf+Jyw8yJcekY7wFN8xkC4dA+naMYiuHQOJDQvUFXUi5yAFJA9TQPISNZXw7R9gxYtQWwkWG1w4CS5/AkJizK5OzlJVjZ2cI2XsPlzO7sOl7D5cTvbhMnYfLiOvuOK0n7VYIDokgK4dA+laF55iQgOICg0gJjSA6NAAIoP9NPGlSDujgORhCkhepmAnfPkUZH3ueG/zdwSlSx6A8G7m1iYeUV5Vw56CcnYfLiO7oIz9R4+x7+gx9hceY9/Rcpcb856K1QKRwf5E1wWm6FD/4+EpxI+IDv5EBDueA/1srXBUInK2FJA8TAHJS+1Z6biX297VjvcWK/Qd67jpbcIIsKq34FxgGAYFZVXsO+oIS/vrglN+cQV5xZUcLK7gYEkltac5fddQkJ+NiGA/OnXwJ7KD3/HXwX50DPIjLNCXsCBfwgN9CQv0JTTQlwBfhSqR1qaA5GEKSF7MMCD7G/j6Rdi17Pjy0K4w8Ebofx3EDtaA7nNcrd2goKyS/KLKuuBUwcHiCvKLK8krrqCgrJKC0ioKSquoqj1zb1RjAnytjuAU6Et4oB+hda/DAn0JD/Il2N/H8QjwoYO/D8H+NoL9fengbyOk7lmnAEWax6sC0ty5c5k9ezZ5eXkMGjSIV199leHDh5+y/YIFC3jqqafIzs6mT58+PP/884wdO9a53jAMnn76ad544w0KCwu55JJLeO211+jTp4+zzZEjR7j//vv57LPPsFqtjB8/nj/84Q8EBwc3qWYFpHbi4DZY+wZsWgCVRceXh3aB3qnQYwQkXKrxSnJKhmFQWlnjCEtlVRSUVlJQVsWRsioOlzpC1NHyKoqOVbs83PUvr7+PlZC6ANXBzxGmgv0d74N8bQT62QjwtRHoayPA1+ryPvAU6x2vbfj7WDWFgrQ7XhOQ5s+fz6RJk5g3bx7JycnMmTOHBQsWkJWVRVRU1EntV65cyYgRI5g5cybXXHMNH3zwAc8//zzr169nwIABADz//PPMnDmTd999lx49evDUU0/x/fffs2XLFgICHLc1uOqqq8jNzeUvf/kL1dXVTJ48mWHDhvHBBx80qW4FpHamugJ+XAQ//At2fOWYkftEYfHQ5UKIugCi+0NEb+iYAL6BppQr3s1uNyiprKH4WDWF5cdDU+GxE4JUeTWllTWUVtZQVllDaWUtpZXVlFXWUlpZQ9Uppj1wJ4sFAn1t+PlY8bNZHc91r/19XN87XtvqXlsatLcdf+1jxc9mwcdqxeeEZ1+bBZvViq/Vgo+tfp1jvWOdBd+65TarBV/n56zYrI62CnPSFF4TkJKTkxk2bBh/+pPjrux2u534+Hjuv/9+nnjiiZPaT5gwgbKyMhYuXOhcdtFFFzF48GDmzZuHYRjExcXx61//mkceeQSAoqIioqOjeeedd7j55pvZunUr/fv3Z+3atQwdOhSARYsWMXbsWPbt20dcXNwZ61ZAaseqKyD7a8fpt93LIe8H4BR/TTpEQWgchMQ6JqMMioCAMPAPBb9g8AtyzOpt83M8rD5gtTl+81isgOX4tg3D8dowwLCf/LDX1r0+YT0ntjVOeH/CtlrKYnHU5/ylYzm+rH59/TG4tK1bbuGE15ZmvG5se6faF6dYdrrj4PjnXNqcwDcIOkQ2/2fWiqpq7HXB6XiIKql7LqusoaSihsoaO8eqajlW7XhU1D2OL7NT0cj66lrTTyy0iI/1eJCyWS1YLdQ9Wxo8g9VqwdZwef1nLBbX9c1YbrVasFnBgmOdxWJx/PF1vgerYwFWiwULx5c5Xltc3lvrZo+3Ordzwuv6NnWvrXUbszbYn4Xj7V1qOGFb9fuD+r8OFufr48td29Rvm7rmp2xXt3/nVp2vXZfXH/vx99A7KoSwQPfegLypv7993LrXZqqqqiIzM5Pp06c7l1mtVlJTU8nIyGj0MxkZGaSlpbksGz16NJ988gkAu3fvJi8vj9TUVOf6sLAwkpOTycjI4OabbyYjI4Pw8HBnOAJITU3FarWyevVqrr/++pP2W1lZSWVlpfN9cXFxi45ZvIBvAPS5wvEAqCyBAxvgwEY4uAUOboUju6CyGMoOOh65G82sWNyt79UwsWm9yWZx9Mb40bGD+yfDrK61O4JUdS0VVXaqamuprLFTVf+odX194jrn69raU7apsRtU19qpqTWotRtU2x2va+wGNbWO9TV1y6prHa9ra13bNcbxOeOUk4qK9/nbL4cz4rzOpuzb1IB0+PBhamtriY6OdlkeHR3Ntm3bGv1MXl5eo+3z8vKc6+uXna5Nw9N3Pj4+dOrUydmmoZkzZ/K73/2uiUcm7Yp/iGMsUo8Rx5cZhuO2JsX7oGg/lOZD+WHHsopix3imqnKoLofqY1Bb5XjYa0/oCTrhH/GGPSUn9phYbXXLrI55nCzUPVtOeLa6fr5hj0lTTj001tvk0hN1Yo9Uw2Un9lxxQu8Wruucyxu8drbhDG1OVwcNltW9djm2Ux1jAzb3/h+rt/G1WfG1WQkJaJs/B8NwBKv6QFRTa6e6PmzVBaxaux274RhsX2s3sBvHn+uX2+0GtScut0Otceblduc2cW73+HJHWwwDA8d6wwC7AQaO10ZdDUbd5+uPqb5N/TrD+dnj2+KE94bL6xPa1u0P57bqP3+8nYHjuIwT2lC3TeOEn/Px1yf+FWu4/ITP1v+V4/g269c5lhuNtjGc/3Fdbub0GaYGJG8yffp0l56r4uJi4uPjTaxITGWxOE6pdYiA2EFmVyNyTrFYLI4xSpolQTzI1OtDIyMjsdls5OfnuyzPz88nJqbxq4ZiYmJO277++UxtDh486LK+pqaGI0eOnHK//v7+hIaGujxERESkfTI1IPn5+ZGUlER6erpzmd1uJz09nZSUlEY/k5KS4tIeYPHixc72PXr0ICYmxqVNcXExq1evdrZJSUmhsLCQzMxMZ5uvvvoKu91OcnKy245PREREvJPpp9jS0tK4/fbbGTp0KMOHD2fOnDmUlZUxefJkACZNmkSXLl2YOXMmAA8++CAjR47kpZde4uqrr+bDDz9k3bp1vP7664Cj6/Whhx7i97//PX369HFe5h8XF8e4ceMAOP/88xkzZgxTp05l3rx5VFdXM23aNG6++eYmXcEmIiIi7ZvpAWnChAkcOnSIGTNmkJeXx+DBg1m0aJFzkHVOTg7WE27/cPHFF/PBBx/w29/+lieffJI+ffrwySefOOdAAnjssccoKyvjrrvuorCwkEsvvZRFixY550ACeP/995k2bRqjRo1yThT5xz/+sfUOXERERNos0+dB8laaB0lERMT7NPX3t27iIyIiItKAApKIiIhIAwpIIiIiIg0oIImIiIg0oIAkIiIi0oACkoiIiEgDCkgiIiIiDSggiYiIiDSggCQiIiLSgOm3GvFW9ROQFxcXm1yJiIiINFX97+0z3UhEAamFSkpKAIiPjze5EhEREWmukpISwsLCTrle92JrIbvdzoEDBwgJCcFisbhtu8XFxcTHx7N37952e483HaP3a+/HBzrG9qC9Hx+0/2P0xPEZhkFJSQlxcXFYraceaaQepBayWq107drVY9sPDQ1tl3/YT6Rj9H7t/fhAx9getPfjg/Z/jO4+vtP1HNXTIG0RERGRBhSQRERERBpQQGpj/P39efrpp/H39ze7FI/RMXq/9n58oGNsD9r78UH7P0Yzj0+DtEVEREQaUA+SiIiISAMKSCIiIiINKCCJiIiINKCAJCIiItKAAlIbM3fuXBISEggICCA5OZk1a9aYXVKLzJw5k2HDhhESEkJUVBTjxo0jKyvLpc3ll1+OxWJxedxzzz0mVdx8zzzzzEn19+vXz7m+oqKC++67j4iICIKDgxk/fjz5+fkmVtx8CQkJJx2jxWLhvvvuA7zvO1yxYgU/+9nPiIuLw2Kx8Mknn7isNwyDGTNmEBsbS2BgIKmpqWzfvt2lzZEjR7j11lsJDQ0lPDycKVOmUFpa2opHcXqnO8bq6moef/xxEhMT6dChA3FxcUyaNIkDBw64bKOx733WrFmtfCSndqbv8Y477jip/jFjxri0acvf45mOr7G/kxaLhdmzZzvbtOXvsCm/H5ry72dOTg5XX301QUFBREVF8eijj1JTU+O2OhWQ2pD58+eTlpbG008/zfr16xk0aBCjR4/m4MGDZpfWbMuXL+e+++5j1apVLF68mOrqaq688krKyspc2k2dOpXc3Fzn44UXXjCp4pa54IILXOr/5ptvnOsefvhhPvvsMxYsWMDy5cs5cOAAN9xwg4nVNt/atWtdjm/x4sUA3Hjjjc423vQdlpWVMWjQIObOndvo+hdeeIE//vGPzJs3j9WrV9OhQwdGjx5NRUWFs82tt97K5s2bWbx4MQsXLmTFihXcddddrXUIZ3S6YywvL2f9+vU89dRTrF+/no8++oisrCyuvfbak9o+++yzLt/r/fff3xrlN8mZvkeAMWPGuNT/j3/8w2V9W/4ez3R8Jx5Xbm4ub731FhaLhfHjx7u0a6vfYVN+P5zp38/a2lquvvpqqqqqWLlyJe+++y7vvPMOM2bMcF+hhrQZw4cPN+677z7n+9raWiMuLs6YOXOmiVW5x8GDBw3AWL58uXPZyJEjjQcffNC8os7S008/bQwaNKjRdYWFhYavr6+xYMEC57KtW7cagJGRkdFKFbrfgw8+aPTq1cuw2+2GYXj3dwgYH3/8sfO93W43YmJijNmzZzuXFRYWGv7+/sY//vEPwzAMY8uWLQZgrF271tnmP//5j2GxWIz9+/e3Wu1N1fAYG7NmzRoDMPbs2eNc1r17d+OVV17xbHFu0tgx3n777cZ11113ys940/fYlO/wuuuuM37605+6LPOm77Dh74em/Pv5xRdfGFar1cjLy3O2ee2114zQ0FCjsrLSLXWpB6mNqKqqIjMzk9TUVOcyq9VKamoqGRkZJlbmHkVFRQB06tTJZfn7779PZGQkAwYMYPr06ZSXl5tRXott376duLg4evbsya233kpOTg4AmZmZVFdXu3yf/fr1o1u3bl77fVZVVfHee+/xy1/+0uUGzd7+HdbbvXs3eXl5Lt9ZWFgYycnJzu8sIyOD8PBwhg4d6myTmpqK1Wpl9erVrV6zOxQVFWGxWAgPD3dZPmvWLCIiIhgyZAizZ89266mL1rBs2TKioqLo27cv9957LwUFBc517el7zM/P5/PPP2fKlCknrfOW77Dh74em/PuZkZFBYmIi0dHRzjajR4+muLiYzZs3u6Uu3ay2jTh8+DC1tbUuXzZAdHQ027ZtM6kq97Db7Tz00ENccsklDBgwwLn8lltuoXv37sTFxbFp0yYef/xxsrKy+Oijj0ystumSk5N555136Nu3L7m5ufzud7/jsssu44cffiAvLw8/P7+TfulER0eTl5dnTsFn6ZNPPqGwsJA77rjDuczbv8MT1X8vjf0drF+Xl5dHVFSUy3ofHx86derkld9rRUUFjz/+OBMnTnS5EegDDzzAhRdeSKdOnVi5ciXTp08nNzeXl19+2cRqm27MmDHccMMN9OjRg507d/Lkk09y1VVXkZGRgc1ma1ff47vvvktISMhJp++95Tts7PdDU/79zMvLa/Tvav06d1BAEo+77777+OGHH1zG5wAu5/sTExOJjY1l1KhR7Ny5k169erV2mc121VVXOV8PHDiQ5ORkunfvzj//+U8CAwNNrMwz3nzzTa666iri4uKcy7z9OzyXVVdXc9NNN2EYBq+99prLurS0NOfrgQMH4ufnx913383MmTO94pYWN998s/N1YmIiAwcOpFevXixbtoxRo0aZWJn7vfXWW9x6660EBAS4LPeW7/BUvx/aAp1iayMiIyOx2WwnjdLPz88nJibGpKrO3rRp01i4cCFLly6la9eup22bnJwMwI4dO1qjNLcLDw/nvPPOY8eOHcTExFBVVUVhYaFLG2/9Pvfs2cOSJUu48847T9vOm7/D+u/ldH8HY2JiTrpooqamhiNHjnjV91ofjvbs2cPixYtdeo8ak5ycTE1NDdnZ2a1ToJv17NmTyMhI55/L9vI9fv3112RlZZ3x7yW0ze/wVL8fmvLvZ0xMTKN/V+vXuYMCUhvh5+dHUlIS6enpzmV2u5309HRSUlJMrKxlDMNg2rRpfPzxx3z11Vf06NHjjJ/ZuHEjALGxsR6uzjNKS0vZuXMnsbGxJCUl4evr6/J9ZmVlkZOT45Xf59tvv01UVBRXX331adt583fYo0cPYmJiXL6z4uJiVq9e7fzOUlJSKCwsJDMz09nmq6++wm63O8NhW1cfjrZv386SJUuIiIg442c2btyI1Wo96bSUt9i3bx8FBQXOP5ft4XsER69uUlISgwYNOmPbtvQdnun3Q1P+/UxJSeH77793Cbr1Yb9///5uK1TaiA8//NDw9/c33nnnHWPLli3GXXfdZYSHh7uM0vcW9957rxEWFmYsW7bMyM3NdT7Ky8sNwzCMHTt2GM8++6yxbt06Y/fu3cann35q9OzZ0xgxYoTJlTfdr3/9a2PZsmXG7t27jW+//dZITU01IiMjjYMHDxqGYRj33HOP0a1bN+Orr74y1q1bZ6SkpBgpKSkmV918tbW1Rrdu3YzHH3/cZbk3foclJSXGhg0bjA0bNhiA8fLLLxsbNmxwXsE1a9YsIzw83Pj000+NTZs2Gdddd53Ro0cP49ixY85tjBkzxhgyZIixevVq45tvvjH69OljTJw40axDOsnpjrGqqsq49tprja5duxobN250+btZf+XPypUrjVdeecXYuHGjsXPnTuO9994zOnfubEyaNMnkIzvudMdYUlJiPPLII0ZGRoaxe/duY8mSJcaFF15o9OnTx6ioqHBuoy1/j2f6c2oYhlFUVGQEBQUZr7322kmfb+vf4Zl+PxjGmf/9rKmpMQYMGGBceeWVxsaNG41FixYZnTt3NqZPn+62OhWQ2phXX33V6Natm+Hn52cMHz7cWLVqldkltQjQ6OPtt982DMMwcnJyjBEjRhidOnUy/P39jd69exuPPvqoUVRUZG7hzTBhwgQjNjbW8PPzM7p06WJMmDDB2LFjh3P9sWPHjF/96ldGx44djaCgIOP66683cnNzTay4Zf773/8agJGVleWy3Bu/w6VLlzb65/L22283DMNxqf9TTz1lREdHG/7+/saoUaNOOu6CggJj4sSJRnBwsBEaGmpMnjzZKCkpMeFoGne6Y9y9e/cp/24uXbrUMAzDyMzMNJKTk42wsDAjICDAOP/8843nnnvOJVyY7XTHWF5eblx55ZVG586dDV9fX6N79+7G1KlTT/ofzbb8PZ7pz6lhGMZf/vIXIzAw0CgsLDzp8239OzzT7wfDaNq/n9nZ2cZVV11lBAYGGpGRkcavf/1ro7q62m11WuqKFREREZE6GoMkIiIi0oACkoiIiEgDCkgiIiIiDSggiYiIiDSggCQiIiLSgAKSiIiISAMKSCIiIiINKCCJiIiINKCAJCIiItKAApKInJPuuOMOxo0bZ3YZItJGKSCJiIiINKCAJCLt2r/+9S8SExMJDAwkIiKC1NRUHn30Ud59910+/fRTLBYLFouFZcuWAbB3715uuukmwsPD6dSpE9dddx3Z2dnO7dX3PP3ud7+jc+fOhIaGcs8991BVVWXOAYqIR/iYXYCIiKfk5uYyceJEXnjhBa6//npKSkr4+uuvmTRpEjk5ORQXF/P2228D0KlTJ6qrqxk9ejQpKSl8/fXX+Pj48Pvf/54xY8awadMm/Pz8AEhPTycgIIBly5aRnZ3N5MmTiYiI4H//93/NPFwRcSMFJBFpt3Jzc6mpqeGGG26ge/fuACQmJgIQGBhIZWUlMTExzvbvvfcedrudv/71r1gsFgDefvttwsPDWbZsGVdeeSUAfn5+vPXWWwQFBXHBBRfw7LPP8uijj/I///M/WK3qmBdpD/Q3WUTarUGDBjFq1CgSExO58cYbeeONNzh69Ogp23/33Xfs2LGDkJAQgoODCQ4OplOnTlRUVLBz506X7QYFBTnfp6SkUFpayt69ez16PCLSetSDJCLtls1mY/HixaxcuZIvv/ySV199ld/85jesXr260falpaUkJSXx/vvvn7Suc+fOni5XRNoQBSQRadcsFguXXHIJl1xyCTNmzKB79+58/PHH+Pn5UVtb69L2wgsvZP78+URFRREaGnrKbX733XccO3aMwMBAAFatWkVwcDDx8fEePRYRaT06xSYi7dbq1at57rnnWLduHTk5OXz00UccOnSI888/n4SEBDZt2kRWVhaHDx+murqaW2+9lcjISK677jq+/vprdu/ezbJly3jggQfYt2+fc7tVVVVMmTKFLVu28MUXX/D0008zbdo0jT8SaUfUgyQi7VZoaCgrVqxgzpw5FBcX0717d1566SWuuuoqhg4dyrJlyxg6dCilpaUsXbqUyy+/nBUrVvD4449zww03UFJSQpcuXRg1apRLj9KoUaPo06cPI0aMoLKykokTJ/LMM8+Yd6Ai4nYWwzAMs4sQEfEWd9xxB4WFhXzyySdmlyIiHqT+YBEREZEGFJBEREREGtApNhEREZEG1IMkIiIi0oACkoiIiEgDCkgiIiIiDSggiYiIiDSggCQiIiLSgAKSiIiISAMKSCIiIiINKCCJiIiINPD/JtsoOAVUTDEAAAAASUVORK5CYII=", "text/plain": [ "
" ] @@ -156,7 +147,7 @@ "\n", "opt = K.optimizer(optax.adam(lbd)) # optimizer setup\n", "\n", - "for _ in range(50):\n", + "for _ in range(100):\n", " grads = gradf(theta)\n", " theta = opt.update(grads, theta)\n", " fhistory_adam.append(f(theta))\n", @@ -165,7 +156,8 @@ "plt.plot(fhistory_adam, label=\"adam\")\n", "plt.legend()\n", "plt.xlabel(\"step\")\n", - "plt.ylabel(\"value\")" + "plt.ylabel(\"value\")\n", + "plt.show()" ] }, { @@ -191,12 +183,12 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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", 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", 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", 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", 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" ] @@ -257,7 +249,7 @@ "opt = K.optimizer(optax.adam(1e-2))\n", "theta = K.implicit_randn(stddev=0.1, shape=[2])\n", "\n", - "for _ in range(500):\n", + "for _ in range(800):\n", " loss, grads = vagf(theta, datax, datay)\n", " theta = opt.update(grads, theta)\n", " history.append(loss)\n", @@ -313,12 +305,12 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -330,7 +322,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "-18.059977073542065\n", + "-17.977719187591358\n", "exact ground state energy: -18.06178541796817\n" ] } @@ -411,7 +403,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -421,7 +413,7 @@ "
" ] }, - "execution_count": 47, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -448,22 +440,12 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { - "text/plain": [ - "Text(0, 0.5, '$$')" - ] - }, - "execution_count": 58, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", + "image/png": 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lOwUA8NraQ+AoMSKx/m3rbbppQjL0AcqaEu4sSZJwp23V6b0tx3iKAfUZgxMJcWv2AOg0Kuw+3ozNh+pFl0Pkt7aXNWJ7WRO0ahVuyh4guhy3mjksHkmRgWjs6MYn29ljSX3D4ERCRIXo8ItxSQCA19YdFlwNkf96c4O1t2n26ETEhuoFV+NeapWE2ydZeyzfZI8l9RGDEwlzx5RUqCRg3YFaFJ9oEV0Okd8pb+jAd7tPAABut9204euuG5cEQ2AAjtZ3YOW+atHlkAIxOJEwyVFBmDU8HoC154CIPOudTUdhkYHJadHIiPeP8zWDdRrMs52/Z+/tIuoNBicS6qaLrT0VX+w4jrYuk+BqiPxHa2c3PtxaDsB/VpvsbpuYggC1hG3HGlFU3iS6HFIYBicSKjs1CqkxwWg3mvH5juOiyyHyGx9tq0BblwlpsSGYlh4juhyPig3T46qR1iNlluVztZt6h8GJhJIkCfMmWFed3t9yjKMJiDxAlmUstQWG2yam+OTAy/P5pW277qudJ9DS2S24GlISBicSbu6YftBpVNhf1YrtZU2iyyHyeQVHGnC4th1BWjXm+OjAy/MZNyACabEhONltxhdFlaLLIQVhcCLhwoO0uHqUddl8KZvEidzO3tv0s1GJCNFpBFcjhiRJ+OV466rTsvwyrnaT0xicyCvY73L5evcJNLYbBVdD5LuaO7rxrW0EwQ224OCvrrWtdhefaMHOimbR5ZBCMDiRVxidFI7MhDAYTRZ8UsiJvkTu8tmOCnSZLMiID8Wo/gbR5QgVHqTFlSMSALBJnJzH4EReQZIkx2iCZQVlsHCiL5HLybLs2Ka7cXwyJMn/msJ/jE3i1FsMTuQ1Zo+29lscqWvHJp5fR+RyReVN2F/VCp1GhTmj/bMp/MfGDohAur1JnCNRyAkMTuQ1gnUaXGO7w2cpl82JXO7DAutq05UjEmAIChBcjXeQJMmx6rSUTeLkBAYn8ir2C9gPxdVoYJM4kcu0dnbjy53W2+79vSn8x67N6u8YicJJ4nQ+DE7kVYYmhGFYYhi6zTK+3sXZKkSu8uXOSpzsNmNQTDAuSokQXY5XMQQF4MqR9ibxMsHVkLdjcCKvc+2Y/gCA/25nvwGRq9i36dgUfmY32lbhvt19AieNZsHVkDdjcCKvM3t0ItQqCTvLm1Ba0ya6HCLFKz7Rgt3Hm6FVqxy/mFBP4wZEIDkyCO1GM/63r0p0OeTFGJzI60SH6HDJYOuho59u50wnogtlP0B7ekYsIoO1gqvxTpIkOY6f+ZSr3XQODE7kley/FX+24zhnOhFdALNFdpzFds0YjiA4F/tdvesP1qKmtVNwNeStGJzIK+UMjUWYXoMTzZ3YcpgznYj6Kv9wPapaOmEIDMAlQ2JEl+PVBkYHY3RSOCyydSAm0ZkwOJFX0geocZXt4N9PuF1H1Gef2bbprhyZAJ1GLbga73etbVXusx287tCZMTiR15pr265bsacK7V0mwdUQKU9ntxnf7bE2OnNSuHOuGpkIjUrCnuMtOFjdKroc8kIMTuS1xiSHIyUqCB1GM77fy7tciHrrh+JqtHWZ0C88EOMGcHaTMyKDtbhkSCwA4FMewUJnwOBEXkuSpNNmOnHZnKi37HfTzclKhErF2U3Osm/XfcGbU+gMGJzIq9nvctl0qB6VTScFV0OkHA3tRqwpqQXAbbremp4Ri1C9BpXNndhyhDenUE8MTuTVkiKDMGFgJGQZjnO2iOj8vtlVCZNFxvB+YUiPCxVdjqLoA9S4ynYEy2ec6UQ/wuBEXu9no613132zi7cHEznLfjcdV5v65posa5vAd3uqeAQL9cDgRF7v8uEJUKsk7D7ejKN17aLLIfJ6x+rbsb2sCSoJ+JltrAf1zrgBEegXHoi2LhN+KK4WXQ55EQYn8nqRwVpMHBQFAPhmN1ediM7n8x3Wbe1JadGIDdMLrkaZVCrJsdr9La87dBoGJ1KEq0daL2Bfsc+J6Ly+2mX9d8Jtugtz5Qhrn9Oq/TWcJUcODE6kCDOGxUGjkrC/qhWlNW2iyyHyWgeqrf9GtGoVLhsWJ7ocRRuWGIaUqCB0mSzI218juhzyEgxOpAjhQVpMSY8GwCZxonOx//uYOjgaYfoAwdUomyRJuMK26vQtrztkw+BEinGVbbvu613criM6G3s/jv0Fny7MlbaxBKtLatDG7ToCgxMpyGXD4qBVq3Cwpg0lVTxDiujHDla34mBNGwLUEnIzuU3nCpkJYRgYHWzdruPddQQGJ1KQMH0Apg2JAcBVJ6Izsd91OiU9htt0LmLdrosHwDYBsmJwIkWxT/P9ZtcJyDLPkCI6Hbfp3OPKEdY2gTUHarldRwxOpCw5Q+Og06hwuK4d+060iC6HyGuU1rTiQLV1m+4ybtO51NCEUKRGB8PI7ToCgxMpTIhOg+kZsQCAr7lsTuTwza4qAMDktGgYArlN50qSJDmaxHndIQYnUpzT767jdh2R1Xd7uE3nTvbv69oDtWjt7BZcDYnE4ESKMz0jFvoAFcobTnK7jgjAodo27K9qRYBawozMeNHl+KSM+FCkxti36zgM058xOJHiBGrVmJpuvbvu+73sNyCyD2eclBYNQxC36dxBkiRcNcK+Xce7ev0ZgxMp0sxh1t+q/7e3SnAlROJ9w7vpPOIKW5/TuoN1vLvOjzE4kSLlDI2F2nZ23bH6dtHlEAlz2LZNp1FJmMG76dxqSFwoBkQFwWiyYN2BWtHlkCAMTqRI4UFaXJwaCQD4nqtO5Mfs29UT06IRHqQVXI1vkySJq93E4ETKZb+Asc+J/NnKfdYXcK42eYb9+5y3vwZGk0VwNSQCgxMplv3uocJjjahp6RRcDZHn1bR0Ykd5EwBw6KWHZCVHIDpEi9ZOE/KP1IsuhwRgcCLFijfoMTopHADwv31cdSL/80NxDWQZGJ0Ujrgwvehy/IJadWoy+/+42u2XGJxI0U5t17HfgPzP/2zbdFxt8iz7avf/9lXBYuEQXn/D4ESKNnOY9QVj86F6NJ/kNF/yH21dJmwqtW4V2f8dkGdkD4pCsFaN6pYu7DreLLoc8jAGJ1K01JgQpMeGwGSRsXo/p/mS/1hbUguj2YLU6GAMigkRXY5f0QeocYntzEzeXed/GJxI8bhdR/7o9G06SZIEV+N/7HfXsb/S/zA4keLZg9Oaklp0dpsFV0PkfkaTBatsK6wzuE0nxKUZsQhQSyitacOh2jbR5ZAHMTiR4g3vF4Z+4YE42W3mNF/yC/lH6tHaaUJ0iA6jkyJEl+OXwvQBuDg1CgDvrvM3DE6keJJ06vbglVw2Jz9g/znPtR09RGI4pojvY5uAP2FwIp9gD06rS2p4ezD5NFmWHSsc3KYTy37d2VHWxCG8fkTRwemVV15BSkoK9Ho9JkyYgIKCgnM+/uOPP0ZGRgb0ej1GjBiBb7/9tsef33bbbZAkqcfbrFmz3PklkItclBKJUJ0GdW1G7KxoEl0OkdvsPt6MqpZOBGnVmDgoWnQ5fi0ujEN4/ZFig9Py5cuxcOFCLFq0CNu3b8eoUaMwc+ZM1NSc+Zb0TZs24cYbb8Ttt9+OHTt2YM6cOZgzZw727NnT43GzZs3CiRMnHG8ffPCBJ74cukBajQpTB8cAAPKKOZaAfJd9tWna4BjoA9SCqyH7qtMqjkPxG4oNTkuWLMEdd9yB+fPnIzMzE6+99hqCgoLwn//854yP/8c//oFZs2bh/vvvx9ChQ/HEE09gzJgxePnll3s8TqfTIT4+3vEWEXH2xsuuri60tLT0eCNxcoZa56r8UMzf/Mh32fubOC3cO+QOtf49bCytw0kj7+r1B4oMTkajEYWFhcjNzXW8T6VSITc3F5s3bz7jx2zevLnH4wFg5syZP3n8mjVrEBsbiyFDhuCuu+5Cff3ZD3FcvHgxDAaD4y0pKekCviq6UJcOiYVKAvZXtaKisUN0OUQuV97QgZLqVqgkYLptACOJNTguBP3CA9FlsmBjaZ3ocsgDFBmc6urqYDabERfX8zeuuLg4VFWd+e6Gqqqq8z5+1qxZePfdd5GXl4e//e1vWLt2LS6//HKYzWf+LeLBBx9Ec3Oz4628vPwCvzK6EBHBWowdYF0h5LI5+aLVJdaf63EDIhEepBVcDQHWu3rtq915vO74BY3oArzJDTfc4Pj/I0aMwMiRIzFo0CCsWbMGOTk5P3m8TqeDTqfzZIl0HjlD47D1aCN+KK7BLdkposshcil7/970oVxt8ibTM2Lx7uZjWLW/GrI8nJPcfZwiV5yio6OhVqtRXd2zl6W6uhrx8fFn/Jj4+PhePR4AUlNTER0djdLS0gsvmjwi1/aCsuVQPdq6TIKrIXKdDqMJmw9bWwdyuE3nVS5OjUKQ7dDfvZXsdfV1igxOWq0WY8eORV5enuN9FosFeXl5yM7OPuPHZGdn93g8AKxcufKsjweAiooK1NfXIyEhwTWFk9sNiglBcmQQjGYLNhxkvwH5jo2l9TCaLOgfEYi0WB7q6030AWpMTrOOhuBdvb5PkcEJABYuXIg33ngD77zzDoqLi3HXXXehvb0d8+fPBwDccsstePDBBx2Pv+eee7BixQo8//zz2L9/Px5//HFs27YNd999NwCgra0N999/P7Zs2YKjR48iLy8Ps2fPRlpaGmbOnCnka6Te69FvwLvryIes2m/9ec7JiOVWkBeyX3fsf0/kuxTb43T99dejtrYWjz32GKqqqjB69GisWLHC0QBeVlYGlepULpw4cSKWLVuGRx55BA899BDS09Px+eefY/jw4QAAtVqNXbt24Z133kFTUxMSExMxY8YMPPHEE+xjUpjcoXF4a+NRxxRxFY+kIIWTZfm0/iaOIfBGlw6xBqedFc2oae1EbKhecEXkLpIsyzyfwkVaWlpgMBjQ3NyMsLAw0eX4LaPJgrFPrERrlwmf/nYixiTzEFRStj3Hm3HVSxsQpFVj+6OXcfCll5r98gbsrGjGM3NH4hcXcTyNkvTm9VuxW3VEZ6PVqDB1iH2KOJfNSfnsq02T06IZmrzY9AzraiCH8Po2BifySbmOPic2apLyOfqbOIbAq9n/fjaU1qGzm1PEfRWDE/mkSwafmiJ+vOmk6HKI+qy2tQs7K5oBnOqjIe80LDEMcWE6dBjNyD/SILocchMGJ/JJEcFaZNl6m9aUcNWJlMs+LXxkfwNiw9hw7M0kSXJs17FNwHcxOJHPutTW57R6f63gSoj6bpX9bjoOvVQE+3DSvOIa8N4r38TgRD7rEtu2xqZDdegysd+AlKfLZMb6g9bgn5PBMQRKMCktGlqNCsebTqK0pk10OeQGDE7ks4YlhiEm1NpvsPVIo+hyiHqt4EgD2o1mxITqMCyRI06UIFCrxsWpUQBObbOSb2FwIp8lSRIuGWzbruMFjBTIvs186ZAYDnJVEPt1Z00J2wR8EYMT+bRLbf0GDE6kRGsOWH9uL+HddIpyia2/cuvRBh427oMYnMinTU6Phlol4XBtO8rqO0SXQ+S08oYOHK5th1olYZLtAFlShoHRwRgQFYRus4xNpTxs3NcwOJFPC9MHYOwA21iCA1x1IuWwj9EYmxwBQ2CA4GqoN3q2CXC7ztcwOJHPsw8NXL2fwYmUw94fM8227UPKYt9eXVvCsQS+hsGJfN6lGdYXns2H63kMAilCZ7cZmw7VAzjVL0PKcnFqFHQaFSqbO3GQYwl8CoMT+bwhcaGID9Ojs9uCLYfrRZdDdF5bjzbgZLcZsaE6ZCZwDIES9RhLwNVun8LgRD5PkiTHqhNvDyYlWGvfphscA0niGAKlsq8W8rrjWxicyC/Y+w14bh0pwZoD1hdajiFQNvvf37ZjDWjt7BZcDbkKgxP5hUlp0QhQSzha34Ejde2iyyE6q4rGDpTWtEGtkjA5nWMIlGxgdDBSbGMJNpayTcBXMDiRXwjRaXBRSiQA9huQd7Nv64xJDucYAh/guLuO41B8BoMT+Q37WAL7NgiRN7IHJ27T+YZpp/U5cSyBb2BwIr9hv4DlcywBeakukxmbDlknTU8bzDEEviDbNpbgRHMnSqpbRZdDLsDgRH4jPTYE8WF6dJksKDjSILocop/YdrQRHUYzYkJ1GJbIMQS+QB+gRvYg61gC3l3nGxicyG9IkuT4LX4tt+vIC9nv+uQYAt9iP35lLYOTT2BwIr8ylcGJvNip/iZu0/kS+3Vn27EGtHeZBFdDF4rBifzK5LRoqCSgtKYNx5tOii6HyKGy6SQO1rRBJQFT0hicfMnA6GD0jwhEt1nm6QU+gMGJ/IohKACjk8IBAOu46kRexP7zODopHIYgjiHwJZIkOVadeN1RPgYn8jvTBltv8+YFjLzJuoPWn8epvJvOJ7G/0ncwOJHfsY8l2FBaB5PZIrgaIsBktmDDQesYAgYn3zRxUBQ0KuvpBWX1HaLLoQvA4ER+Z0Q/A8KDAtDaaUJReZPocoiws6IZLZ0mGAIDMKp/uOhyyA1C9QEYkxwBAFh7kKtOSsbgRH5HrZIwJZ3L5uQ97NvGk9OioVZxDIGvsq92s01A2RicyC9NtR2eyuBE3uBUfxMP9fVlU22/sG0+VA+jiW0CSsXgRH7J3qi5+3gz6tu6BFdD/qy5oxs7bVvG7G/ybcMSwxAVrEVblwnbyxpFl0N9xOBEfik2TI+M+FDIsrVJnEiUDaV1sMjWI4ESDIGiyyE3UqkkTLatdnO7TrkYnMhv2fsNuF1HItlfQLna5B/sq93r2CCuWAxO5LempdsbNetgsciCqyF/JMsy5zf5GfuNKXuOt6CObQKKxOBEfmtsSgSCtGrUtXWhuKpFdDnkh0pr2nCiuRM6jQoTBkaKLoc8ICZUh8yEMABwzO4iZWFwIr+l06iRnRoFAFjPCxgJYN8mHj8wEvoAteBqyFN42LiyMTiRX5tia9Rcz34DEsD+wjmN23R+xf73vf5gLdsEFIjBifzaFNsFbOuRRpw0mgVXQ/6ks9uMgiMNANjf5G/GDohAsFaNujYj9p1gm4DS9Dk4mc1m7Nq1CyaTyZX1EHlUanQw+oUHwmi2IP9IvehyyI/kH2lAl8mC+DA90mNDRJdDHqTVqJA9yNomwHEoytPn4PTVV18hKysLy5cvd2U9RB4lSdJp23W8gJHnrLdt001Jj4Yk8ZgVf2O/u45tAsrT5+D0zjvvICYmBm+//bYLyyHyvCnpPD+KPM8e1LlN55/sv7CxTUB5+hSc6urq8N133+Htt9/G2rVrUVFR4eq6iDxmUloUVBJwsKYNJ5pPii6H/EB1SydKqlshScCkNJ5P548Gsk1AsfoUnD744AMMHz4cs2bNwpQpU/Dee++5ui4ijwkP0mJk/3AA3K4jz7D/nI3oZ0BksFZwNSQC2wSUq0/B6e2338Ytt9wCALjpppvw7rvvurQoIk+bygsYedCGg6f6m8h/sc9JmXodnPbs2YM9e/bgl7/8JQDguuuuQ1lZGfLz811eHJGn2McSbOBcFXIzi0V23Ellf+Ek/zQpLQqSBByobkNVc6focshJvQ5O77zzDmbMmIHoaOtvSiEhIZgzZw6bxEnRRieFI0SnQWNHN/ZWcq4KuU9xVQvq2owI0qoxJjlCdDkkUM82Aa46KUWvgpPZbMb777/v2Kazu+mmm7B8+XIYjUaXFkfkKQHqU3NVeGo5uZN9Ozg7NQpaDWcQ+zu2CShPr/7V1tTU4K677sLs2bN7vH/mzJlYuHAhqqqqXFockSdNHcx+A3I/+8/XZPY3EU5t124orWObgEL0KjglJCTgscceg1bb8y4QlUqFRx55BMnJyS4tjsiT7L/5FR5rRHsXJ+KT6500mrH1SCMA9jeRVVZyOIK1ajS08/gVpeA6MZHNgKhgJEcGodssY8thzlUh18s/Ug+j2YJEgx6DYoJFl0NewNomYP2ljW0CysDgRHQa++3hnCJO7rDh4Km76XjMCtlNHWzrczrAPiclYHAiOo1jrgoP3iQ3sDcATxnM/iY6xX7d2XasAR1Gtgl4O7cEJ850IqXKHmQ9fuVwbTuON/H4FXKdHsesDGJwolNSooLQPyIQ3WYZ+YcbRJdD5+GW4HTddde542mJ3M4QGIDRSeEATk13JnIF+2rTyH4GRPCYFTqN9fgV66rTWrYJeD1NXz/wF7/4xRnfL8syGhqYmEm5JqfHYHtZE9YfrMP1F/FOUXKN9Y5jVng3Hf3U1PRofFBQ5pgqT96rz8Hphx9+wHvvvYeQkJAe75dlGevWrbvgwohEmZoejRfzDmKjba6KSsUmXrowFovsaAzn/CY6k4mDoqGSgNKaNpxoPokEQ6Dokugs+hycLrnkEoSGhmLq1Kk/+bORI0deUFFEIo360fErI/obRJdECrfvRAvq23nMCp2dISgAI/uHo6i8CRsO1uG6cUmiS6KzcLrH6cYbb8SePXsc//3pp5+eMTQBwMqVKy+8MiJBePwKuZp9++ViHrNC5zCFx68ogtP/gpcvX46cnJwe4el0siyjra3NZYURiWS/gG3gBYxc4NT8Jm7T0dnZ+9828vgVr9arX31Gjx6N6dOnnzE81dTUIDw83FV1EQllv4AVHmvkXBW6IJ3dZhQctd4ww+BE52I/fqWex694NaeDkyRJePvttzF9+nRMnz4du3fv/sljLBaLS4sjEiUlKgj9wgNhNFuQf4R3iVLfFRxpgNFkQYJBj0ExIef/APJbp7cJ8O467+V0cJJlGWq1GsuWLUNOTs4ZwxOPECBfIUmS4xgEbtfRhbCPIZicFs1rJJ3X5DR7nxP7K71Vr7sUVSoVli5ditzcXEyfPh27du1yR11Ewk1Osx2/wgsYXYD1HENAvTDZ1iaw9WgjOrvNgquhM+nVVp3jg2zh6bLLLkNOTo6w8PTKK68gJSUFer0eEyZMQEFBwTkf//HHHyMjIwN6vR4jRozAt99+2+PPZVnGY489hoSEBAQGBiI3NxcHDx5055dAXmxSWhQkCThQ3Ybqlk7R5ZAC1bR2Yn9VK4BTKwlE5zIoJhiJBj2MJgsK2CbglXq1VdfjA1UqvP/++47wVFRU5Orazmn58uVYuHAhFi1ahO3bt2PUqFGYOXMmampqzvj4TZs24cYbb8Ttt9+OHTt2YM6cOZgzZ06PRvdnnnkGL774Il577TXk5+cjODgYM2fORGcnXzT9UXiQFiP7WWc48fZg6ouNtj6VYYlhiArRCa6GlECSJMfqJFe7vZPTwembb76BwdBzEKA9PM2YMQNz5851eXHnsmTJEtxxxx2YP38+MjMz8dprryEoKAj/+c9/zvj4f/zjH5g1axbuv/9+DB06FE888QTGjBmDl19+GYA1GP7973/HI488gtmzZ2PkyJF49913UVlZic8//9yDXxl5E/vddTy3jvpivWMMAY9ZIefZf174C5t3cjo4XX755dDpfvobk0qlwnvvvYfZs2e7tLBzMRqNKCwsRG5ubo86cnNzsXnz5jN+zObNm3s8HgBmzpzpePyRI0dQVVXV4zEGgwETJkw463N2dXWhpaWlxxv5Fvtvfhs4V4V6SZZlzm+iPpmUFg1JAvZXtaKmlTse3sYlI2ztK09nCxiuVldXB7PZjLi4uB7vj4uLQ1VV1Rk/pqqq6pyPt/9vb55z8eLFMBgMjrekJI7I9zVjkiMQpFWjrs2I4ioGY3Legeo21LR2QR+gwtgBPGaFnBcZrMXwROsOz0aOJfA6FxScGhsbsXz5cixZsgQvvPACDh8+jMbGRlfV5vUefPBBNDc3O97Ky8tFl0QuptWocHGqba4Kl82pF+z9KeMHRkEfoBZcDSmNo8/pAK873qbPwenNN99EdnY28vPzYbFYYLFYkJ+fj4kTJ+LNN990ZY0/ER0dDbVajerq6h7vr66uRnx8/Bk/Jj4+/pyPt/9vb55Tp9MhLCysxxv5nimnbdcROcvR38S76agP7D83G0rrfnJzFonV5+D0zDPPoLCwEEuWLMEf/vAH/OEPf8ALL7yArVu34m9/+5sra/wJrVaLsWPHIi8vz/E+i8WCvLw8ZGdnn/FjsrOzezwesB5GbH/8wIEDER8f3+MxLS0tyM/PP+tzkn+wB6f8Iw2cq0JO6TKZkX+kHgAwZTCDE/Xe2JQI6ANUqGntQkl1q+hy6DR9Dk6SJKG19ad/ma2trR6Zjrtw4UK88cYbeOedd1BcXIy77roL7e3tmD9/PgDglltuwYMPPuh4/D333IMVK1bg+eefx/79+/H4449j27ZtuPvuux1fz7333osnn3wSX375JXbv3o1bbrkFiYmJmDNnjtu/HvJeg2JCkGCbq7L1KOeq0PkVHm1EZ7cFMaE6DIkLFV0OKZBOo8aEgWwT8Eaavn7gc889h2nTpmH48OHo168fAKCiogJ79+7F888/77ICz+b6669HbW0tHnvsMVRVVWH06NFYsWKFo7m7rKwMKtWpXDhx4kQsW7YMjzzyCB566CGkp6fj888/x/Dhwx2P+eMf/4j29nbceeedaGpqwuTJk7FixQro9Xq3fz3kvSRJwuS0aHxcWIH1B+t4azmd1/rSU9t0PGaF+mpKejTWHqjFuoN1+PWUVNHlkI0kO7l5euONN+Lhhx/uETTMZjMKCgpQWVkJAEhMTMT48eOhVvtnI2RLSwsMBgOam5vZ7+RjvtxZid99sANDE8Lw3T1TRJdDXu6ql9Zjz/EWLPnFKFw7pr/ockihDlS3YsYL66APUKHosRm8ycCNevP67fSK0/Lly7Fq1Srk5eU5wpNarXb0/1gsFnR0dPhtaCLfNsl2YnnxiRbUtnYhJpRToOnM6tu6sLfSOrqCx6zQhUiPDUFcmA7VLV0oPNaISfx58gq96nEaPXo0pk+f3uOYErva2lqEh4e7qi4irxIVosPwftbfQjhXhc5l46F6yDKQER+K2DBu81PfWdsEOEXc2/TqkN+3334b06dPx/Tp07F79+6fPMZisbi0OCJvYr+ArePxK3QO6w9Yfz44LZxcYQrPrfM6vTrkV61WY9myZcjJyTljeGITJPmyqfZ5Tgc5V4XOTJZlx7wv3kRArmDfnttb2YK6ti7B1RDQh3EEKpUKS5cuRW5uLqZPn45du3a5oy4ir3P6XJUD1W2iyyEvdKi2DSeaO6HVqDB+YKTocsgHxITqkJnANgFv0qutOscH2cLTZZddhpycHIYn8gunz1XhsjmdyTrb8RjjUyJ5BxS5zKntOgYnb9CrrboeH2g72NcenoqKilxdG5HX4QWMzuXUNh37m8h17Nu+bBPwDk4Hp2+++QYGg6HnB9vC04wZMzB37lyXF0fkbewXsPwj9Tx+hXroMpmx+ZDtmBX2N5ELjUuJgE6jQlVLJ0pr2CYgmtPB6fLLL4dO99PZNSqVCu+99x5mz57t0sKIvNHguBDEhurQ2W3B9mONosshL7L9WBNOdpsRHaJFRjyPWSHX0QeoHT1z67jaLVyfz6rr8SS2lafNmze74umIvJYkSZhs24bhBYxOt6HU2vc2OS0aKhXvMCbXmurYrmN/pWguCU6A9QVl/Pjxrno6Iq/FuSp0Jva+N27TkTvYf2HbcrgBXSa2CYjksuBE5C/sgzD3VragnnNVCEBDuxG7jzcDOPUCR+RKGfGhiA7R4WS3GduPNYkux68xOBH10ulzVTZwrgrBOl9HloEhcaGI4zEr5AaSJHG120v0Kji1t7ef8agVANi7dy/a2tjtT/5hymBbn9MBBiey3iYOcAwBuRfHoXiHXgWn7u5uTJgwAQUFBT3ev2/fPmRlZTE4kd+wN2quP1jLuSp+TpZlxwoAt+nInew/X3sqm9kmIFCvglN4eDiuuuoqvPvuuz3e/9577yEnJwfx8fEuLY7IW40dcOr4lZLqVtHlkECHattR2dwJrVrlmCxP5A6xoXoMTQiDLLNNQKRe9zjdeuutWL58OUwmEwDrb1tLly7F/PnzXV4ckbfSB6hxcart+BVu1/k1+2rTRQMjEKjlMSvkXlO5XSdcr4PTrFmzoNFo8M033wAA1qxZg7a2NsyZM8fVtRF5Nftt5+vYqOnX1h2w/v1P5RgC8oApbBMQrtfBSa1WY968eY7tuvfeew/XX389tFqty4sj8mb23/wKjjTw+BU/1WUyY8vhBgCc30SeMS7F2iZQ3dKFA9XsKxahT+MIbr31Vnz77bc4fvw4/vvf/+LWW291dV1EXi8tNgTxYXp0mSwoONIguhwSoPBoI052mxETqsPQBB6zQu6nD1A7eunsq53kWX0KTiNGjEBmZibmzZuHhIQEXHzxxa6ui8jrSZKEqYM5V8WfrbX9vU9Jj4Yk8ZgV8oypg9kmIFKfB2DecsstWLduHW655RZX1kOkKKf6Ddio6Y/sNwawv4k8iW0CYmn6+oE333wzmpqa8Ktf/cqV9RApyqS0aEgSsL+qFdUtnZwa7UdqW7uw70QLAM5vIs9Kiw1BgkGPE82dKDjS4FiBIs/o84pTZGQkFi1axNlN5Ncig7UY0c8AgKtO/sa+PTu8XxiiQ3SCqyF/cvrxK+xz8jyeVUd0gU6fIk7+Y73jmBX+tk+exzYBcRiciC6Q/Te/DQfrYLFwroo/sFhOHbPC/iYSYbKtTaCk2tomQJ7D4ER0gbKSIxCsVaO+3ejoeSHfVlzVgro2I4K0aowdECG6HPJDEcFajLS1CXC7zrMYnIgukFajQvYg61yVtbyA+YV1trvpslOjoNXwMkpi2JvCuV3nWfwXT+QC0+xzVRic/IJjm453M5FA9j6nDaVsE/AkBiciF5g2OBYAUHisEa2d3YKrIXfqMJqw7WgjAAYnEisrORwhOg0a2o3YU9ksuhy/weBE5ALJUUFIiQqCySJj06F60eWQG205XA+j2YL+EYFIiQoSXQ75sQD1qTYBrnZ7DoMTkYtwu84/2Pubpg6O4TErJJz9usP+Ss9hcCJykWlDTl3AZJn9Br7KHoynclo4eQF7cNpe1oTmk2wT8AQGJyIXuTg1Clq1ChWNJ3G4rl10OeQGZfUdOFzXDo1KwsQ0BicSLykyCINigmG2yNhUyrvrPIHBichFgrQaXDTQOtNnbQmXzX3R2gM1AIAxAyIQpg8QXA2Rlf3mFG7XeQaDE5ELOfqcePyKT7K/MF0yhHfTkfdgm4BnMTgRuZD9N78th+vR2W0WXA25UpfJ7LhjchrHEJAXmTAwEjqNCieaO3Gwpk10OT6PwYnIhQbHhSA+TI/ObgsKjjSILodcaNvRRnQYzYgJ1SEzIUx0OUQO+gA1Lk61nV7ANgG3Y3AiciFJkjB1sLVpmGMJfIt9m24axxCQF+JYAs9hcCJyMTZq+ib7b/LcpiNvZO9zKjjSgA6jSXA1vo3BicjFJqdFQyUBB2vacLzppOhyyAUqm06ipLoVKgmYwvlN5IVSo4PRPyIQRrMFWw7z9AJ3YnAicjFDUABGJ4UD4Hadr7D/PY5OCkd4kFZwNUQ/JUmS425P9jm5F4MTkRvYt+sYnHzDqf6mWMGVEJ0d2wQ8g8GJyA3s/QYbDtah22wRXA1diG6zBRsOWicyT+P8JvJi2YOiEKCWcLS+A0d5eoHbMDgRucGIfgZEBmvR2mVC4bFG0eXQBdhR1oTWLhMiggIwop9BdDlEZxWi02DcgEgAHMLrTgxORG6gVkmOu69Wl9QIroYuhP2YlamDY6BWcQwBeTf7quga9jm5DYMTkZvYGzXX7OcFTMnWcAwBKYj953TToTqeXuAmDE5EbjI1PQYqCSipbuVYAoWqae3E3soWAMCUdAYn8n4Z8aFIMFhPL+BYAvdgcCJyk4hgLbKSIwAAa7hdp0j227qH9wtDTKhOcDVE52cdS2C9u47bde7B4ETkRpfatutWc7tOkez9adOHcAwBKYf9urNqfw1kWRZcje9hcCJyo0szrC+4G0vr0GViv4GSdJstWH/AOobA/vdIpAST0qKhVatQ1tCBwxxL4HIMTkRulJkQhthQHU52m1FwpEF0OdQLW482oLXLhKhgLUb1DxddDpHTgnUaTEi1jiVYvZ9tAq7G4ETkRpIk4VLbNg+365TF/oIzbUgMVBxDQApjv+6sYnByOQYnIje7NMM+V4UXMCWxv+BM5zYdKZB9e3nr0Qa0dnYLrsa3MDgRudmktGhoVBIO17XzGASFKKvvwKHadqhVEscQkCINjA7GwOhgdJtlbCytE12OT2FwInKzUH0ALkqx9Rtw1UkR7H9P4wZEwBAYILgaor65hHf1ugWDE5EH2LfrVnOuiiLYt+l4Nx0pmX2beXUJxxK4EoMTkQfYGzW3HK5Hh9EkuBo6lw6jCZttE5fZ30RKNn5gJIK0atS0djkm4NOFY3Ai8oC02BD0Cw+E0WTB5kM8BsGbbSqth9FkQb/wQKTHhoguh6jPdBo1JqVFA+BYAldicCLyAEmSHNt1ebyAebVVJafuppMkjiEgZXOMJWB/pcswOBF5SE5GHABgVTH7DbyVLMuO38y5TUe+wP4LW1F5ExrajYKr8Q0MTkQekj0oCoEBalS1dLLfwEvtr2rFieZO6ANUyB4UJbocoguWYAhERnwoZBlYe4CrTq7A4ETkIfoANaakW/sNVu6rFlwNnYn9brqJg6KhD1ALrobINXKGWldPfyhmcHIFBiciD8odat2uy9vP4OSNVnMMAfkg+3VnbUktjCaL4GqUT5HBqaGhAfPmzUNYWBjCw8Nx++23o62t7Zwf09nZiQULFiAqKgohISGYO3cuqqt7vnhJkvSTtw8//NCdXwr5mUszYiFJwJ7jLahq7hRdDp2mvq0L28saAbC/iXzLqP7hiA7Roa3LhPwjvKv3QikyOM2bNw979+7FypUr8fXXX2PdunW48847z/kx9913H7766it8/PHHWLt2LSorK3Httdf+5HFvvfUWTpw44XibM2eOm74K8kcxoTqMTgoHwFUnb7Nqfw0sMjAsMQz9wgNFl0PkMiqVhFz7dh3bBC6Y4oJTcXExVqxYgX//+9+YMGECJk+ejJdeegkffvghKisrz/gxzc3NePPNN7FkyRJMnz4dY8eOxVtvvYVNmzZhy5YtPR4bHh6O+Ph4x5ter/fEl0V+xL5szguYd7H3ndn/foh8ieO6w7t6L5jigtPmzZsRHh6OcePGOd6Xm5sLlUqF/Pz8M35MYWEhuru7kZub63hfRkYGkpOTsXnz5h6PXbBgAaKjozF+/Hj85z//OecPWFdXF1paWnq8EZ2P/QK28RCniHuLzm4z1h+0HoR6WSaDE/meSWnR0AeocLzpJPZXtYouR9EUF5yqqqoQG9uz/0Cj0SAyMhJVVVVn/RitVovw8PAe74+Li+vxMX/5y1/w0UcfYeXKlZg7dy5++9vf4qWXXjprLYsXL4bBYHC8JSUl9f0LI78xOC4E/SOsU8Q3HOSp5d5gY2kdTnabkWjQY1himOhyiFwuUKvG5DTrTCeudl8YrwlODzzwwBmbs09/279/v1trePTRRzFp0iRkZWXhT3/6E/74xz/i2WefPevjH3zwQTQ3NzveysvL3Vof+QZJkk7dXcfbg73CD8W2bbrMOE4LJ591WaZ9LAGD04XQiC7A7ve//z1uu+22cz4mNTUV8fHxqKnp+WJjMpnQ0NCA+Pj4M35cfHw8jEYjmpqaeqw6VVdXn/VjAGDChAl44okn0NXVBZ1O95M/1+l0Z3w/0fnkDo3D25uOIm9/DSwWGSoVX6xFsVhkx3wb9jeRL5ueEQdJ2o2dFc2obulEXBh7ePvCa4JTTEwMYmJizvu47OxsNDU1obCwEGPHjgUArFq1ChaLBRMmTDjjx4wdOxYBAQHIy8vD3LlzAQAlJSUoKytDdnb2WT9XUVERIiIiGI7I5cYPjESoToO6ti7srGhCVnKE6JL81s6KJtS2diFEp8HFqZwWTr7LflfvjrIm5BXX4JcTkkWXpEhes1XnrKFDh2LWrFm44447UFBQgI0bN+Luu+/GDTfcgMTERADA8ePHkZGRgYKCAgCAwWDA7bffjoULF2L16tUoLCzE/PnzkZ2djYsvvhgA8NVXX+Hf//439uzZg9LSUrz66qt4+umn8X//93/CvlbyXVqNClMH2w795XadUPa76aYNiYFWo7hLIlGvnLq7jtt1faXIq8TSpUuRkZGBnJwcXHHFFZg8eTJef/11x593d3ejpKQEHR0djve98MILuOqqqzB37lxMnToV8fHx+PTTTx1/HhAQgFdeeQXZ2dkYPXo0/vWvf2HJkiVYtGiRR7828h+57DfwCvbv/wzeTUd+wH7X6IbSOt7V20eSzIEOLtPS0gKDwYDm5maEhfHOHDq3xnYjxj65EhYZWP/HS5EUGSS6JL9zrL4d055dA7VKwvZHLoMhKEB0SURuJcsypj27BmUNHfjXzWMxc9jZ+3z9SW9evxW54kTkCyKCtZgw0NpT8/3eM4/SIPeyb9ONT4lkaCK/cPpdvRxL0DcMTkQCzRpu/W1vxR4GJxHs23Qcekn+xN4msGp/DcwWbjr1FoMTkUAzhllfsAvLGlHTykN/Pampw4itR62H+jI4kT+5KCUS4UEBqG83YtvRBtHlKA6DE5FACYZAjEoKhyyf2jYiz7D/tp0RH8r+MvIrAWqVY7vuO6529xqDE5Fgs4Zxu04E+wsG76Yjf2S/7ny/t4qH/vYSgxORYDNt23WbD9WjuaNbcDX+oa3LhLUHagEAl49IEFwNkedNTo9GsFaNE82d2FnRLLocRWFwIhIsNSYEg+NCYLLIWFXC7TpPWL2/BkaTBSlRQciIDxVdDpHH6QPUuDTD2iT+3Z4TgqtRFgYnIi/A7TrPsn+fZw1P4KG+5LcuH25dbf1+D7freoPBicgLzLSNJVh7oJbTfN3spNGM1SXWY26uGMHhf+S/LhkSA51GhaP1Hdhf1Sq6HMVgcCLyApkJYUiKDERntwXrbL035B7WcGpGv/BAjOhnEF0OkTDBOo3jzEzeXec8BiciLyBJEmZm2u9yYZ+TO62w9XPMGh7PbTrye5fbVru/Z3ByGoMTkZewTxH/obgaRpNFcDW+qctkRl4xt+mI7HIy4qBRSSipbsXh2jbR5SgCgxORlxiTHIGYUB1aO03YfLhedDk+aVNpPVq7TIgL0yErKUJ0OUTCGYICMDEtGgC365zF4ETkJVQqyTGMcQVvD3aLb3dbv68zh8VDpeI2HRHQcxgmnR+DE5EXucI2jPG7PVXoNnO7zpW6zRastB3qa98WJSLrmZkqCdhV0YyKxg7R5Xg9BiciL3JxahSiQ3Ro6ujGhtI60eX4lPzDDWjq6EZUsBbjUyJFl0PkNaJDdLjI9m+Cs+TOj8GJyIuoVZKjafnrndyucyX7dOQZw+KgUfPSR3Q6+2r317t43TkfXj2IvMzVoxIBAP/bW4XObrPganyDyWxx9G/MGs6z6Yh+7PIR8VBJQFF5E8rquV13LgxORF5mbHIE4sP0aO0ycRimi2w+XI+6NiMiggIwcVCU6HKIvE5sqB7Ztn8bX+2qFFyNd2NwIvIyKpWEq0ZaV0W+4rK5S3xRZH0huGJEAgK4TUd0Rj+zrXZ/WcTgdC68ghB5Ift23Q/7qnl23QXq7DY7piLPHt1PcDVE3mvWsAQEqK3DMEt4dt1ZMTgReaGR/Q1IjgzCyW4zVu2vEV2Ooq0pqUFrlwmJBj3GDeDQS6KzMQQFYNrgWADAVzu56nQ2DE5EXkiSTtuu4wXsgti36a4elcihl0TncfUo63Xny52VkGVZcDXeicGJyEtdNdK6Xbe6pBatnd2Cq1Gm1s5u5NlW7H42OlFwNUTe77LMOAQGqFHW0IGdFc2iy/FKDE5EXmpoQigGxQTDaLJg5b5q0eUo0vd7rQcmp8WGIDMhTHQ5RF4vSKtBru3oJ652nxmDE5GXkiTJ0STOC1jffFF0HID1biFJ4jYdkTOuHmkfhlkJs4XbdT/G4ETkxezbdesP1qGx3Si4GmWpbe3CpkP1AE7dZk1E5zdtSAzC9BpUt3Sh4EiD6HK8DoMTkRezbzGZLDK+5lC6Xvl29wmYLTJGJYUjJTpYdDlEiqHTqB0HYX/J1e6fYHAi8nJzx/YHAHxSWCG4EmU5fZuOiHrnZ6OsM8++23MCRpNFcDXehcGJyMvNHp0IjUrCzopmHKzmUDpnlDd0YHtZEyTpVL8GETnv4tRIxITq0NTRjdUlnCV3OgYnIi8XHaLDJUOsQ+k+2c5VJ2fYV5uyU6MQG6YXXA2R8mjUKlyTZV11+ngbrzunY3AiUoCfj7VewD7fcZx3uZyHLMv42Latab/wE1HvXWdrE1hdUoPa1i7B1XgPBiciBZieEYeIoABUt3RhQ2md6HK8WsGRBhyr70CwVo0ruU1H1GfpcaEYlRQOs0XG5zuOiy7HazA4ESmAVqNyNDmzSfzclm8rB2A9YiVIqxFcDZGy2VedPi4s5xEsNgxORArx87FJAID/7a1C80kewXImrZ3d+Hb3CQDAdeOSBFdDpHxXj0qETqPCgeo27OIRLAAYnIgUY3i/MAyOC0GXyYJvdp0QXY5X+nrXCXR2WzAoJhhjksNFl0OkeIbAAMwcZp3p9HFhueBqvAODE5FCSJKEn9uWzf/Lu+vO6CPbNt31FyXxiBUiF7lunPW682VRJTq7zYKrEY/BiUhB5ozuB5UEFB5rxJG6dtHleJWD1a3YUdYEtUrCNVn9RZdD5DMmDopGokGPlk4T/scDxxmciJQkNkyPqYNjAAD/ZZN4D/bVpukZsYgJ1Qmuhsh3qFWS4wSDj7dxu47BiUhhrrM1iX+0rRzdZh6FAADdZgs+3W69XfoXbAoncjl7m8CG0jpUNp0UXI1YDE5ECnNZZhyiQ3Soae3CSi6bAwBW7a9BfbvRNmU9RnQ5RD5nQFQwxg+MhCwDn/p5jyWDE5HCaDUq3Djeuqry/pZjgqvxDvbtg7lj+iFAzcsakTvYV3M/KCj36xMMeIUhUqAbxydDJQGbDtWjtMa/D/490XwSq0tqAZy6+4eIXO+qkQmICArA8aaTyCv239VuBiciBUoMD0TO0DgAwPtbygRXI9b7W47BbJExYWAk0mJDRZdD5LP0AWpcf1EyAODdzf672s3gRKRQN188AID17roOo0lwNWJ0dpuxLN8aHOdPShFbDJEfmDfButq9obTOb1e7GZyIFGpyWjRSooLQ2mXCF0WVossR4sudlWjs6Ea/8EDk2lbgiMh9kiKDHKvd7/npqhODE5FCqVQSbrKtOr23+ZjfHcApyzLe2XQUAHDTxQOgYVM4kUfcmp0CwHrgeGun/52bySsNkYL9fGx/6DQq7DvRgu1lTaLL8ahtxxqxt7IFOo0KN1zE2U1EnjIpLQqpMcFoN5rx2Y7josvxOAYnIgULD9LiZ6MSAfjfaIK3Nx4FAFyT1Q8RwVqxxRD5EUmSHKtO72w66ner3QxORAp3c7Z1u+6bXSdQ39YluBrPONF8Eiv2VgEAbp2YIrYYIj907Zh+CNaqcai2HZsO1Ysux6MYnIgUbmT/cIzqb4DRbME7ftKsefoIgqEJYaLLIfI7ofoAx/l19l5Df8HgROQD7pw6CID1Atbe5dujCTq7zfigwDopnCMIiMS5xbba/UNxNcobOgRX4zkMTkQ+YNbweAyMDkbzyW58UODbAzG/2lmJhnYjEg16jiAgEigtNhRT0qNhkYF/rTskuhyPYXAi8gFqlYT/NzUVAPDv9UfQZTILrsg9zBYZr621XqBvzk7hCAIiwRZcmgYA+GhbBWpaOgVX4xm86hD5iGvG9ENsqA5VLZ34YodvDsT8dvcJHKptR5heg5suThZdDpHfmzAwEuMGRMBosuCN9YdFl+MRDE5EPkKnUePXUwYCAF5bd8jnTi+3WGS8vKoUAHD75FSE6gMEV0REkiRhwXTrqtP7W8rQ0G4UXJH7MTgR+ZBfThiAML0Gh2vbsXJflehyXOp/+6pQUt2KUJ0Gt7EpnMhrXDI4BsP7heFktxlvbTwiuhy3Y3Ai8iEhOo1jrtE/1xzymcF0sizjxTzratNtk1JgCORqE5G3kCQJd9t6nd7edBQtPn4MC4MTkY+5bWIK9AEq7Kpo9pnBdHnFNdh3ogXBWjV+NWmg6HKI6EdmZMYjPTYErZ0mnz/8l8GJyMdEhehww0XWxumXVh1U/KqTLMt4cdVBANY76Xi8CpH3Uakkxx12b244gg6j786TY3Ai8kF3TE2FVq3ClsMNWHOgVnQ5F2TNgVrsqmhGYMCp5nci8j5XjUxAcmQQGtqNjiG1vojBicgH9QsPdDRQL/62GCazRWxBfWTtbbKuNs2bkIzoEJ3giojobDRqFX57ifUUg3+uLvXZXicGJyIfteCSNBgCA3Cgug2fFFaILqdPVu6rxo6yJug0KtxpG/BJRN5r7tj+SI0JRn27Ea+sLhVdjlswOBH5KENQAP7PNl9lycoDius56Ow248lvigEAt08eiNgwveCKiOh8AtQqPHLlUADAWxuOoqze986wU1xwamhowLx58xAWFobw8HDcfvvtaGtrO+fHvP7667jkkksQFhYGSZLQ1NTkkucl8nY3Zw9AUmQgalq78MY6Zc1XeXPDEZQ1dCA2VOdoOiUi73fpkFhMSY+G0WzB4u+KRZfjcooLTvPmzcPevXuxcuVKfP3111i3bh3uvPPOc35MR0cHZs2ahYceesilz0vk7XQaNf44MwOA9RDOmlZlnCVV3dLpWOZ/4PIMBOs0gisiImdJkoRHrsyESgK+21OF/MO+MRbFTpIVdK9ycXExMjMzsXXrVowbNw4AsGLFClxxxRWoqKhAYmLiOT9+zZo1uPTSS9HY2Ijw8PALft6uri50dXU5/rulpQVJSUlobm5GWFjYBX61RK4hyzLm/HMTdpY34ZcTkvH0NSNEl3ReC5cX4dMdx5GVHI7//mYiVCpJdElE1EsPf7YbS/PLMLxfGL5cMNmr/x23tLTAYDA49fqtqBWnzZs3Izw83BFuACA3NxcqlQr5+fkef97FixfDYDA43pKSkvpcA5G7SJKEh6+w9hws31qOA9Wtgis6t+1ljfh0x3EAwONXD/Pqiy0Rnd3CywYjVKfBnuMt+O92Zd6gciaKCk5VVVWIjY3t8T6NRoPIyEhUVfX9XK6+Pu+DDz6I5uZmx1t5ue/OrSBlGz8wEjMy42C2yLj/k11eO57AYpHx5y/3AgCuG9sfo5LCxRZERH0WFaLD3bYbVJ75vgRtXcq6QeVsvCI4PfDAA5Ak6Zxv+/fvF13mT+h0OoSFhfV4I/JWf549DKF6DXaWN+H19YdFl3NGn2yvwM6KZoToNLh/1hDR5RDRBbptUgqSI4NQ29qFp7/1jUZxrwhOv//971FcXHzOt9TUVMTHx6OmpqbHx5pMJjQ0NCA+Pr7Pn99dz0vkTRIMgVh09TAAwN9XHkRJlXdt2ZU3dOCJr/cBAP5vehpiQzl+gEjpdBo1Fl9r7atcll+GvOJqwRVdOK8ITjExMcjIyDjnm1arRXZ2NpqamlBYWOj42FWrVsFisWDChAl9/vzuel4ibzN3TD/kZMTCaLbgDx/vRLeXbNmZzBbct7wIrZ0mZCWH41eTebQKka+YlBbtOJz7T//dhbq2rvN8hHfziuDkrKFDh2LWrFm44447UFBQgI0bN+Luu+/GDTfc4Ljz7fjx48jIyEBBQYHj46qqqlBUVITSUuvtzbt370ZRUREaGhqcfl4iXyBJEhZfOwKGwADsPt6M19YcEl0SAOClVaXYdqwRIToN/nF9FgLUiro0EdF5/HHWEAyOC0FdmxEP/He3og8fV9zVaenSpcjIyEBOTg6uuOIKTJ48Ga+//rrjz7u7u1FSUoKOjlPTSl977TVkZWXhjjvuAABMnToVWVlZ+PLLL51+XiJfERumx19mW7fsXlx1EPsqW4TWU3CkAS+tsp5H99Q1w5EcFSS0HiJyPX2AGn+/PgsBagk/FFdj+Vbl3kylqDlO3q43cyCIRJJlGb95vxDf763GkLhQfHJXNkL1AR6vo7mjG5f/Yx0qmztx7Zh+WPKL0R6vgYg8519rD2Hxd/sRpFXj299NQUp0sOiSAPjwHCcicg1JkvDknBGIDtGhpLoVv1263eP9TrIs46HPdqOyuRMDooLwl9nDPfr5icjzfj0lFRMGRqLDaMb/fbBDkSMKGJyI/FRMqA5v3XYRAgPUWH+wDg996tm+gxdWHsA3u09Ao5Lw4g1ZCOGxKkQ+T62S8PwvRiEiyNpn+f/e24Yuk1l0Wb3C4ETkx0b0N+CVeVlQScDHhRV4Ma/UI5/3ldWleHGV9XMtujqTgy6J/Ej/iCC8NX88grRqbCytx70fFsFsUU7XEIMTkZ+bnhGHJ+ZYt8le+OEAPt7m3qbNNzccwbPflwCwHuB7c3aKWz8fEXmf0UnheP3mcdCqVfhuTxUe/kw5d9oxOBER5k0YgN9eMggA8OCnu/H1rkq3fJ6l+cccQy7vyUnHb6YNcsvnISLvNzk9Gv+4YTRUEvDh1nL8bUWJ6JKcwuBERACAP8wYgtmjE2GyyLh72Q48/W2xy860k2UZ7205hkc+3wMA+H/TUnFvbrpLnpuIlOvyEQl4+hrrZPHX1h7Cg5/uwkmjd/c8MTgREQBApZLw/HWj8P+mpQIAXl93GDe/WXDBU35rWjtxx7uFePTzPZBl4LaJKXhgVgYkSXJF2USkcDeMT8bDVwwFAHxQUI6rX96A4hNi58udC+c4uRDnOJGv+G73Cfzh451oN5qRYNDj5V+OwdgBEb1+nm92ncAjn+9GY0c3AtQS7rtsMH4zdRBUKoYmIuppw8E63PdREWpbu6DVqPDwFUNxS/YAj/yS1ZvXbwYnF2JwIl9SWtOKO98rxOHadgDAxamRuCU7BZdlxp3zSBSzRcb2ska8vekovtl1AgCQmRCGJdePQkY8/10Q0dnVt3XhDx/vxOqSWgDAhIGRuHF8MmYMi0OQ1n0jSxicBGFwIl/T2tmNRV/uxRdFlY7bhePD9LhxfDKGxIcgRBeAEL0GIToNyhra8b+91fihuBp1bUYA1pktCy4ZhLunp0OrYWcAEZ2fLMt4a+NR/PW7/TDa+iyDtGrMHBaPOVn9MGlQFDQuPs+SwUkQBifyVSeaT2JZfhk+KChzhKJzCdNrMD0jFrdPTsWI/gYPVEhEvqa8oQOfFFbg86LjOFZ/6vzZK0bE45/zxrr0czE4CcLgRL6uy2TGd7ur8PWuE2jqMKKty4TWThPaukwI0WmQMzQWMzLjMSE18pzbeUREzpJlGTvKm/D5juP4amclHr4yEz8f29+ln4PBSRAGJyIiIvcxmiyQIUOnUbv0eXvz+s3DoYiIiEgRvKFXUnwFRERERArB4ERERETkJAYnIiIiIicxOBERERE5icGJiIiIyEkMTkREREROYnAiIiIichKDExEREZGTGJyIiIiInMTgREREROQkBiciIiIiJzE4ERERETmJwYmIiIjISRrRBfgSWZYBAC0tLYIrISIiImfZX7ftr+PnwuDkQq2trQCApKQkwZUQERFRb7W2tsJgMJzzMZLsTLwip1gsFlRWViI0NBSSJLn0uVtaWpCUlITy8nKEhYW59LmpJ36vPYffa8/h99pz+L32HFd9r2VZRmtrKxITE6FSnbuLiStOLqRSqdC/f3+3fo6wsDD+Q/QQfq89h99rz+H32nP4vfYcV3yvz7fSZMfmcCIiIiInMTgREREROYnBSSF0Oh0WLVoEnU4nuhSfx++15/B77Tn8XnsOv9eeI+J7zeZwIiIiIidxxYmIiIjISQxORERERE5icCIiIiJyEoMTERERkZMYnBTglVdeQUpKCvR6PSZMmICCggLRJfmcxYsX46KLLkJoaChiY2MxZ84clJSUiC7LL/z1r3+FJEm49957RZfik44fP46bbroJUVFRCAwMxIgRI7Bt2zbRZfkks9mMRx99FAMHDkRgYCAGDRqEJ554wqnzz+jc1q1bh6uvvhqJiYmQJAmff/55jz+XZRmPPfYYEhISEBgYiNzcXBw8eNAttTA4ebnly5dj4cKFWLRoEbZv345Ro0Zh5syZqKmpEV2aT1m7di0WLFiALVu2YOXKleju7saMGTPQ3t4uujSftnXrVvzrX//CyJEjRZfikxobGzFp0iQEBATgu+++w759+/D8888jIiJCdGk+6W9/+xteffVVvPzyyyguLsbf/vY3PPPMM3jppZdEl6Z47e3tGDVqFF555ZUz/vkzzzyDF198Ea+99hry8/MRHByMmTNnorOz0/XFyOTVxo8fLy9YsMDx32azWU5MTJQXL14ssCrfV1NTIwOQ165dK7oUn9Xa2iqnp6fLK1eulKdNmybfc889okvyOX/605/kyZMniy7Db1x55ZXyr371qx7vu/baa+V58+YJqsg3AZA/++wzx39bLBY5Pj5efvbZZx3va2pqknU6nfzBBx+4/PNzxcmLGY1GFBYWIjc31/E+lUqF3NxcbN68WWBlvq+5uRkAEBkZKbgS37VgwQJceeWVPX6+ybW+/PJLjBs3Dtdddx1iY2ORlZWFN954Q3RZPmvixInIy8vDgQMHAAA7d+7Ehg0bcPnllwuuzLcdOXIEVVVVPa4lBoMBEyZMcMtrJQ/59WJ1dXUwm82Ii4vr8f64uDjs379fUFW+z2Kx4N5778WkSZMwfPhw0eX4pA8//BDbt2/H1q1bRZfi0w4fPoxXX30VCxcuxEMPPYStW7fid7/7HbRaLW699VbR5fmcBx54AC0tLcjIyIBarYbZbMZTTz2FefPmiS7Np1VVVQHAGV8r7X/mSgxORD+yYMEC7NmzBxs2bBBdik8qLy/HPffcg5UrV0Kv14sux6dZLBaMGzcOTz/9NAAgKysLe/bswWuvvcbg5AYfffQRli5dimXLlmHYsGEoKirCvffei8TERH6/fQi36rxYdHQ01Go1qqure7y/uroa8fHxgqrybXfffTe+/vprrF69Gv379xddjk8qLCxETU0NxowZA41GA41Gg7Vr1+LFF1+ERqOB2WwWXaLPSEhIQGZmZo/3DR06FGVlZYIq8m33338/HnjgAdxwww0YMWIEbr75Ztx3331YvHix6NJ8mv310FOvlQxOXkyr1WLs2LHIy8tzvM9isSAvLw/Z2dkCK/M9sizj7rvvxmeffYZVq1Zh4MCBokvyWTk5Odi9ezeKioocb+PGjcO8efNQVFQEtVotukSfMWnSpJ+M1Thw4AAGDBggqCLf1tHRAZWq58uqWq2GxWIRVJF/GDhwIOLj43u8Vra0tCA/P98tr5XcqvNyCxcuxK233opx48Zh/Pjx+Pvf/4729nbMnz9fdGk+ZcGCBVi2bBm++OILhIaGOvbFDQYDAgMDBVfnW0JDQ3/SOxYcHIyoqCj2lLnYfffdh4kTJ+Lpp5/GL37xCxQUFOD111/H66+/Lro0n3T11VfjqaeeQnJyMoYNG4YdO3ZgyZIl+NWvfiW6NMVra2tDaWmp47+PHDmCoqIiREZGIjk5Gffeey+efPJJpKenY+DAgXj00UeRmJiIOXPmuL4Yl9+nRy730ksvycnJybJWq5XHjx8vb9myRXRJPgfAGd/eeust0aX5BY4jcJ+vvvpKHj58uKzT6eSMjAz59ddfF12Sz2ppaZHvueceOTk5Wdbr9XJqaqr88MMPy11dXaJLU7zVq1ef8Rp96623yrJsHUnw6KOPynFxcbJOp5NzcnLkkpISt9QiyTJHmhIRERE5gz1ORERERE5icCIiIiJyEoMTERERkZMYnIiIiIicxOBERERE5CQGJyIiIiInMTgREREROYnBiYiIiMhJDE5ERERETmJwIiI6D1mWsWTJEgwcOBBBQUGYM2cOmpubRZdFRAIwOBERncf999+PV199Fe+88w7Wr1+PwsJCPP7446LLIiIBeFYdEdE55OfnIzs7G9u2bcOYMWMAAH/5y1+wdOlSlJSUCK6OiDyNK05EROfw3HPPIScnxxGaACAuLg51dXUCqyIiURiciIjOoqurC9988w2uueaaHu/v7OyEwWAQVBURicStOiKis9i8eTMmTpwIvV4PtVrteH93dzcuvfRSrFixQmB1RCSCRnQBRETe6sCBAwgODkZRUVGP91955ZWYNGmSmKKISCgGJyKis2hpaUF0dDTS0tIc7zt27BgOHjyIuXPnCqyMiERhjxMR0VlER0ejubkZp3c0PPXUU7jiiiuQmZkpsDIiEoUrTkREZzF9+nR0dnbir3/9K2644QYsXboUX331FQoKCkSXRkSCcMWJiOgs4uLi8Pbbb+PVV1/FsGHDsGXLFmzYsAFJSUmiSyMiQXhXHREREZGTuOJERERE5CQGJyIiIiInMTgREREROYnBiYiIiMhJDE5ERERETmJwIiIiInISgxMRERGRkxiciIiIiJzE4ERERETkJAYnIiIiIicxOBERERE56f8DcuR2kSAyQQ0AAAAASUVORK5CYII=", "text/plain": [ "
" ] @@ -494,27 +476,18 @@ "\n", "plt.plot(np.arange(0, 10, 0.1), expectation_z(params, n, nlayers))\n", "plt.xlabel(r\"$\\theta$\")\n", - "plt.ylabel(r\"$$\")" + "plt.ylabel(r\"$$\")\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { - "text/plain": [ - "Text(0, 0.5, '$$')" - ] - }, - "execution_count": 59, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -535,7 +508,8 @@ "\n", "plt.plot(np.arange(0, 10, 0.1), expectation_z(params, n, nlayers))\n", "plt.xlabel(r\"$\\theta$\")\n", - "plt.ylabel(r\"$$\")" + "plt.ylabel(r\"$$\")\n", + "plt.show()" ] }, { @@ -561,18 +535,18 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[-16.97360337 -16.40737299 -16.36898253 -16.50062318 -16.45887465\n", - " -16.92951726 -16.27123115 -16.90970369 -16.40472291 -16.2469533\n", - " -16.52248456 -16.46413517 -16.53748828 -16.89546491 -16.96684184\n", - " -16.28991889]\n", - "-16.973603370934402\n" + "[-16.40925884 -16.4086336 -16.41046407 -16.38253475 -16.40385297\n", + " -16.29658451 -16.40618843 -16.40794562 -16.40529266 -16.37107063\n", + " -16.39524741 -16.41410012 -16.40551229 -16.366984 -16.40967443\n", + " -16.41273512]\n", + "-16.414100124356974\n" ] } ], @@ -580,8 +554,8 @@ "# We use a SU(2) symmetric ansatz for the SU(2) symmetric Hamiltonian,\n", "# which can restrict the ansatz within J=0 sector\n", "\n", - "n, nlayers = 10, 2\n", - "g = tc.templates.graphs.Line1D(n)\n", + "n, nlayers = 10, 3\n", + "g = tc.templates.graphs.Line1D(n, pbc=False)\n", "hh = tc.quantum.heisenberg_hamiltonian(g, hxx=1, hyy=1, hzz=1)\n", "\n", "\n", @@ -623,22 +597,12 @@ }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { - "text/plain": [ - "Text(0, 0.5, 'energy')" - ] - }, - "execution_count": 91, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -651,7 +615,8 @@ "for i in range(batch):\n", " plt.plot([h[i] for h in history])\n", "plt.xlabel(\"steps\")\n", - "plt.ylabel(\"energy\")" + "plt.ylabel(\"energy\")\n", + "plt.show()" ] }, { @@ -672,12 +637,12 @@ }, { "cell_type": "code", - "execution_count": 109, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -719,7 +684,7 @@ }, { "cell_type": "code", - "execution_count": 110, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -729,7 +694,7 @@ "
" ] }, - "execution_count": 110, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -754,12 +719,12 @@ }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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", 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", 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" ] diff --git a/lectures/3_qc_error.ipynb b/lectures/3_qc_error.ipynb index 963ec2e..09f2b39 100644 --- a/lectures/3_qc_error.ipynb +++ b/lectures/3_qc_error.ipynb @@ -8,10 +8,8 @@ ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ "## Quantum channels\n", "\n",