From e5d3ac808f41fca8e934038fa24518cfee355ecc Mon Sep 17 00:00:00 2001 From: QFer <46991941+QFer@users.noreply.github.com> Date: Wed, 12 May 2021 14:17:29 +0200 Subject: [PATCH] [SDS-200] Version and notebook update (#97) --- ...lassification_example1_2_data_points.ipynb | 32 ++++---- ...lassification_example2_4_data_points.ipynb | 21 +++-- .../classification_example3_4_features.ipynb | 76 ++++++++++--------- docs/examples/example_projectq.ipynb | 4 +- docs/examples/grover_algorithm_qi.ipynb | 43 ++++++----- docs/examples/qi-performance-test.ipynb | 10 +-- src/quantuminspire/version.py | 2 +- 7 files changed, 97 insertions(+), 91 deletions(-) diff --git a/docs/examples/classifier_example/classification_example1_2_data_points.ipynb b/docs/examples/classifier_example/classification_example1_2_data_points.ipynb index 0f4dbcb..e37f07a 100644 --- a/docs/examples/classifier_example/classification_example1_2_data_points.ipynb +++ b/docs/examples/classifier_example/classification_example1_2_data_points.ipynb @@ -165,7 +165,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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\n", + "image/png": 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\n", 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\n", 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\n", 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" ] @@ -567,7 +567,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -685,14 +685,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Data point [-0.6845915204534585, 0.7289269168601349] from label 0\n", - "Data point [0.9512903118756332, -0.3082965172225604] from label 1\n", - "Test point [-0.9999973359330008, -0.0023082735758723698] from label 0 \n" + "Data point [-0.9855972005944997, 0.16910989971106205] from label 0\n", + "Data point [0.019219683952295424, -0.9998152848145371] from label 1\n", + "Test point [-0.5022519953589976, -0.8647213037493094] from label 1 \n" ] }, { "data": { - "image/png": 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\n", 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zzTV06dKF5cuXA7B9+3Zyc3N56aWXOHDgAL/99tthr/nnP//JihUruOeee1i+fDl9+/Zl8+bNrFq1ijfeeAOA//u//wuE2gsvvJABAwbw2WefUadOHaZNm8bmzZspKCggJiYGAK/Xy+OPP87SpUtJSEjgxRdfZPfu3Tz66KMsXryYBg0asGDBAubNm8ell14KQE5ODrNmzeKtt97C6XQyZcoUUlNTiY6OJjY2lnnz5pXr+7fffsPpdGKz2cot37x5MyNHjuSss87i3XffZfny5SQlJVFUVMRDDz3EKaecwtChQ/nkk0/47rvvuPDCC7n55pv57bffGDVqFIsXLz7ivj3vvPOOuPzMM88kIyPj+P6CREREJGwonIpIjZaeXhZMExLgwIGyx8EMp6effnq5x82aNaNPnz4MGzYMr9dL//79D3tNz549GTBgALfffjtff/01Y8eO5cMPP2TXrl0MGDAAgIMHD7Jt27Zy20hOTua3337j3nvvxWq1cs899wRq5uTkEBsbS0JCAgCDBg0iOzsbp9NJgwYNADj//PN56qmnAuF0x44dnHnmmTidzsD6tWvXcu655x72vg5tIzEx8bDl9evXZ+7cuURGRuJ2uwP1Tj75ZE455RQA2rZty9atW/n555/58ssvef/99wPv8++yWCxYrVZ8Pl+VnF4sIiIiVUM/1UWkRuvQASyWsmBqsZQ9DiaTyVTu8aZNm3C73bzwwgukpKTw+OOPH/aa+Ph4mjZtyty5c+nSpQtWq5UzzjiDM888k9dee42FCxfSq1evwOmuh7bx1VdfUb9+febPn88999zDU089FaiZkJBAXl4eubm5AEyaNIkdO3bgcrnYt28fAF9//TWnnXZa4DWNGjViy5YtFBQUBNYfCqVHCn2HtvFXkydP5v777+eJJ56gefPm+P1+APbs2RPY9nfffUezZs0444wzGDBgAAsXLuTpp5/m2muvPfZO/gu/34/ValUwFRERqWGqbOS0pKSE0aNH8/vvv+PxeLjnnnvo3LlzVW1eRGqp5OSyU3lDcc3pkZx22mnMmTOH999/P3DN5pHceOONDBo0iNWrVwPQokULLrroIm666SY8Hg+tW7cOjHge0qJFC4YNG8bixYvxer3cd999gXVms5nx48dz1113YTabadWqFa1bt2bSpEkMGTIEk8lEXFwcU6dO5ZdffgHKQvKQIUO49dZbMZvNNG7cmIceeoiVK1cesecmTZqQnZ2N1+vFav3jx8e1117L0KFDiY2NpWHDhoHrSevUqcOkSZPYu3cvbdu2pVOnTrRu3ZoxY8awZMkSXC4XgwcP/tv7eNOmTbRp0+Zvv05ERESqOX8VWbZsmX/SpEl+v9/vz8nJ8Xfq1Omw53z77bdV1c4J++mnn4xuIexpH1ae9mHlaR+emOeee87/4Ycf+v1+4/bhE0884f/mm2+O67nh8HOluqvqfRjKz1WoP7Ph2rv2S9XXDnX9cK0d6vrqveprH8nRfq5U2TlRXbt2ZejQoYcCMRaLpao2LSIiQXLbbbexevVqfD6fIdvPysrC5XLRrl07Q7YvIiIioVNlp/U6HA4AXC4X999/Pw888EBVbVpERIIkMjKSGTNmGLb9evXqMXHiRMO2LyIiIqFTpbP17t69m/vuu4+bb76ZHj16HPE5mZmZVdnS31ZUVFTte6zutA8rT/uw8rQPK0/7UERERIKpysLp/v37uf322xk3blzghu5H0rJly6pq6YRkZmZW+x6rO+3DytM+rDztw8oLh32o+6GKiIiEjyq75vS5554jLy+PuXPn0r9/f/r3709RUVFVbV5ERERERESqsSobOR07dixjx46tqs2JiIiIiIhIGKnSa05FRKpafnE+qT+m8suBX2iW0Iw+Z/chJiLmhOulpKTw448/kpWVRVFREaeeeip169bl2WefPa7Xb9q0iby8PM4///wT7mHw4MHMnj27wvWpqan06tULm812wtsQERERqWoKpyJSY63dvpZui7rh8/twl7hx2BwM+2AYq/qtIoGEE6r5yCOPALB8+XJ+/fVXHnroob/1+g8//JDExMRKhdOjBVOA559/nuuuu+6E64uIiIgYQeFURGqk/OJ8ui3qRr4nP7DMXeIGoNuibnzS/ZOgbaukpITx48ezbds2fD4fDzzwAO3bt2fmzJl89dVXeL1errzySnr27Mlbb72FzWbj7LPPpnXr1gDs3LmToUOHUq9ePfbu3UtycjIPPvggO3fuZPTo0ZSWlmIymRg7diwtWrTg4osvZt26dfTv358WLVrwyy+/4HK5eOaZZ0hPTycrK4sHH3yQuXPnBu09ioiIiIRalU2IJCJSlVJ/TMXn9x1xnc/vY/WO1UHb1tKlS6lbty6LFi1i7ty5gftwvvvuuzz55JO88cYbxMbG0qBBA66//noGDBgQCKaH/P7776SkpLBs2TK+/PJLfvzxR6ZNm8att97KokWLGDNmDKNHjz5s261bt+bVV1/l4osvZuXKlfTu3Zt69eoxc+bMoL0/ERERkaqgkVMRqZF+OfBLYKT0r9wlbra5tgVtWz///DMZGRl8//33AHi9XrKzs5k+fTozZsxg//79XHLJJUet0aJFC+rUqQOUBc6tW7eyZcuWwOm/LVu2ZM+ePYe9rlWrVgA0bNiQ/fv3B+09iYiIiFQ1hVMRqZGaJTTDYXMcMaA6bA6aOJsEbVtnnHEGDRs25O6776aoqIh58+bhdDpZvXo1Tz31FADdunWje/fumEwmfL7DR3S3bNlCYWEhdrud77//nhtuuIGmTZvy7bff0rlzZzIzM0lMTDyufirahoiIiEh1ptN6RaRG6nN2H8ymI/8XZzaZ6Xpq16Btq2/fvvz666/ccsst9O3bl1NOOQW73U5cXBw33ngjt956KxdffDEnn3wy55xzDosWLeLLL78sV8NmszF06FB69+5N586dadGiBSNGjOD111+nX79+TJgwgcmTJx9XP+3atePOO+/E7/cH7T2KiIiIhJpGTkWkRoqJiGFVv1WHzdZrNplZ1W8VDrejUvV79eoV+N5utzNt2rTDnjN48GAGDx5cbtmll17KpZdeethzExMTeeGFF8ota9SoEa+88sphz123bh0ACxcuDCy76aabAt8/8cQTx/cmRERERKoRhVMRqbE6Nu7IruG7SN2YyubszZwZfyZ9zumD0+4kMzPT6PZERERE5E8UTkWkRnPandyRdIfRbRxVo0aNWLJkidFtiIiIiBhK15yKiIiIiIiI4RRORURERERExHAKpyIiIiIiImI4hVMRERERERExnMKpiNRsJfmw+SX4z8iyryX5lSr31VdfcdFFF9G/f//AfU1XrVp11Nfs2rWLTz75pFLbPZLMzExmz55d4fri4mKWLl0a9O2KiIiIhIJm6xWRmmvfWvisG/h9UOoGiwO+GwaXrgISTrjshRdeyMyZMwFwu93079+f008/nZYtWx7x+V9++SW//vorl19++Qlv80hatmxZ4TYBsrKyWLp0Kb179w7qdkVERERCQeFURGqmkvyyYOr900hpqbvs62fdMLUKzkimw+GgT58+rF69mubNmzNu3Dj27NnDvn37uPzyy7n//vt54YUXKCoqom3btsTExDB79mz8fj9ut5sZM2Zw+umnB+otX76cNWvW4Ha7ycnJ4b777uOqq65i3bp1PP3000RERFCnTh2mTJlCZmYmb775JjNnzuTKK68kKSmJrVu3kpCQwKxZs3juuefYvHkzs2fP5qKLLuKJJ57AarUSFRXFM888g9PpDMo+EBEREQkGndYrIjXTttSyEdMj8fuIzV0dtE0lJCSQk5PD7t27adOmDS+//DLLli3jzTffxGKxcOedd3LNNdfQuXNnfvnlF6ZPn87ChQu58sorWb368D4KCwt55ZVXmD9/PikpKZSUlPDoo48ye/ZsXn/9dc4//3zmzZtX7jU7duxg6NChpKamkp2dzQ8//MDdd9/NmWeeyeDBg1mzZg1XX301r7/+OjfddBN5eXlBe/8iIiIiwaCRUxGpmfJ/+WOk9K9K3diLtwVtU7t27aJhw4bUqVOHH374gS+//BKn04nH4znsuQ0aNGDy5MlER0ezd+9ekpKSDnvO+eefj9lsJjExkdjYWPbv34/T6aRBgwaB9U899RSXXnpp4DV169blpJNOAuCkk06iuLi4XM27776b5557jttuu40GDRrQunXroL1/ERERkWDQyKmI1EwxzcquMT0SiwNPRJOgbMblcrF06VK6du3K8uXLiYmJYcaMGdx+++0UFRXh9/sxm834fGWjuI8++ihTpkwhJSWF+vXr4/f7D6v5448/ArB//35cLhf169fH5XKxb98+AL7++mtOO+20cq8xmUyH1fnzdlesWMH111/PwoULadasGUuWLAnK+xcREREJFo2cikjN1KRP2eRHR2Iyk1enKyefYOkvv/yS/v37YzabKS0tZciQIZxxxhmUlpYyfPhw1q9fj91up0mTJuzbt4/mzZszb948zj77bK699lr69etHVFQUiYmJgcD5Z/v37+e2224jPz+f8ePHY7FYmDRpEkOGDMFkMhEXF8fUqVP55ZdfjtpnQkICJSUlTJ8+nSuvvJKxY8cSFRWF2Wxm4sSJJ/juRUREREJD4VREaiZbTNmsvH+drddkhktX4T9QwajqMbRv354vvvjiiOuaNWvGihUrDlveoEEDPvjgAwC6d+9+zG2cf/75PPTQQ+WWdejQgQ4dOhzWS/v27QFYt25dYPmhmYQB3nnnncD3Gi0VERGR6kzhVERqrvod4fpdsD0V8jdDzJnQuA/YnHAg0+juRERERORPFE5FpGazOaHpHUZ3cdx69epldAsiIiIihtCESCIiIiIiImI4hVMREZEayufzMW7cOPr06UP//v3Ztq38LZTmz59Pr169uOGGG/joo48M6lJERKSMTusVERGpodasWYPH4yE1NZX169eTkpLCvHnzAMjLy+O1117jww8/pLCwkOuuu44uXboY3LGIiNRmGjkVERGpoTIyMrjkkksAaNOmDRs3bgysi4qK4uSTT6awsJDCwsIj3itXRESkKmnkVEREpIZyuVw4nc7AY4vFgtfrxWot+/F/0kkn0b17d0pLS7nrrrsqrJOZWXWzWxcVFYVse6GsHer64Vo71PXDtXao64dr7VDXV+9VX/vvUjgVERGpoZxOJ263O/DY5/MFgmlaWhr79u3j448/BuCOO+4gKSmJ1q1bH1anZcuWVdMwZUE4VNsLZe1Q1w/X2qGuH661Q10/XGuHur56r/raR5KRkVHhOp3WKyIiUkMlJSWRlpYGwPr162nevHlgXVxcHJGRkdjtdiIiIoiJiSEvL8+oVkVERDRyKiIiUlN16dKFdevW0bdvX/x+P1OmTOGVV16hcePGdO7cmfT0dG688UbMZjNJSUlcfPHFRrcsIiK1mMKpiIhIDWU2m5k4cWK5ZU2bNg18f//993P//fdXdVsiIiJHpNN6RURERERExHAKpyIiIiIiImI4hVMRERERERExnMKpiIiIiIiIGE7hVERERERERAyncCoiIiIiIiKGUzgVERERERERwymcioiIiIiIiOEUTkVERERERMRwCqciIiIiIiJiOIVTERERERERMZzCqYiIiIiIiBhO4VREREREREQMp3AqIiIiIiIihlM4FREREREREcMpnIqIiIiIiIjhFE5FRERERETEcAqnIiIiIiIiYjiFUxERERERETGcwqmIiIiIiIgYTuFUREREREREDKdwKiIiIiIiIoZTOBURERERERHDKZyKiIiIiIiI4RRORURERERExHBVHk43bNhA//79q3qzIiIiIiIiUo1Zq3JjL774IitWrCAqKqoqNysSXtLSID0ddu+GTZuge3cYMqTcU6K+/RbeeQccDnC7oUMHSE4+cp0jrRMRERERqWaqNJw2btyYWbNmMWLEiKrcrEj1kZYGo0bB9u3Qqxc88wx+vx+fz1f259//xjd4ML68vLI/Fgu+jAx8paXwvzMO/N98Q8S0aRwoKYHsbIiPx/Tmm5inTcN84YWYzWbMX32FefBgLCUlmOfPx/zii5g6dTpyPwqwIiIiIlINVGk4veqqq9i5c+dRn5OZmVlF3ZyYoqKiat9jdVdb92HkN99w0tCh+IqK8NpseBcu5EB+PlkDB2IymTCZTNRdtYo6fj+20lKsgNnnw1pYSOHbb7Pr8ssBqPvhh8Tl5WEuLcXicuGNiMDn8ZDzwQdkJybi9/uJXbWKGJMJb7164HKR++67uCIiMJvNWCwWLBYLjg0bOHXcOMylpZhmziS/UyfyevSgsF07Y3dUFamtn8Ng0j4UERGRYKrScHo8WrZsaXQLR5WZmVnte6zuass+9Hq9eDweiouLKSkpoXTnTvIiI7GaTNi8XqKKijjtiy848+WXMZlMZS/yeODtt8u+5ueD2QxmM44bbiCxdeuy51x3HZ5ly7CXlkJJCXi9EBFBXM+enJaUVPYct7vstN89e8Bi4ZQePSht1w6v10tJSQlerxfvqlXkJCZittmw/for9nXrOGXDBqwvvHDkUdYaprZ8DkMpHPZhRkaG0S2IiIjIcap24VQkbAwdCu+/D1dfDc88Q0lJCR6PJ/AHwG63ExERQUxMDJaLL8Y0bRocPPhHjSuvhEPBFMpOrZ0//+jXnCYns2vyZE77/feKrzn9c50OHTAlJ2MFrFYrkZGRZc/p2BHmz6c0NxdPcTGeU04hB/CtW4ftnHOIiIjAbrdjs9n+CM8iIiIiIiGicCpyIoYOxf/ss3jsdooWLKDIYsH0yCPlwqjV+pd/Xp06wYoVh11zepjk5GNe/1nYrl3gGtQKHavO/wKsZdEiot57j6jcXLBY8HXogMfhoLi4mIMHD1JaWkpERASRkZFERkYqqIqIiIhISFR5OG3UqBFLliyp6s2KVF5aGv516/C0b0/R559T2KABFr+fqIICElatwvrUU8eukZwM69aFvtfjdSjA/mliJHNyMpEQGGH1+XwUFRVRUFDAwYMHFVRFREREJCQ0cipyNP8LbSXR0RS89BKFViuWpUuJatGCxI0bsZaWlj3vqquM7bOyjjLKajabiY6OJjo6+ohBNTo6moiIiCpuWERERERqGoVTkQr4P/+convuwW2zUVpYSHRpKYkJCVizsqBNG2jQoNw1p7XBX4NqYWEheXl5+P1+HA4HUVFRmM1mo9sUERERkTCkcCryFz6fj4KCAtzr1mGx2XBERxO5bx8mjwd8PrBY/piAqJaE0iMxm804HA4cDgcejwe3201+fj5RUVE4HI7Dr7kVERERETkK/fYo8j9erxeXy0VRURGRkZHEX3QRtvnzIS+vbFbc0aOPPDOuYLfbsdvtlJaW4na72b9/P3a7HafTid1uN7o9EREREQkDCqdSe/3velLfhReS37YthYWFOBwO6tevX3Zq6mWXlbsdiwLpsVksFmJjY4mJiaGwsJCcnBxsNhuxsbEaSRURERGRo9Jvi1I7/fOf+N59F3d8PO5//YuoyZOpf8UVh18veRy3dZHDmUwmoqOjiYqKCoykRkZGlt3v1WIxuj0RERERqYY0c4nUOv6hQ3GvXk1W3bp4i4pI3LyZuO++00Q+IWAymXA6nYHR6KysLPLy8vD5fEa3JiIiIiLVjEZOpVbxeDzkpqdjjYgg/sABbF4v2Gxlp+1KyJjNZmJjY3E4HLhcLvbt20dsbCzR0dFGtyYiIiIi1YSGiqRW8Pv9HDx4kJycHGIvvpj47OyyYApw7bU6dbeKWCwW4uLiSEhIwO12k52dTemhe8WKiIiISK2mcCo116xZ0L49xdddR9b77+P3+6lXrx6RTz8N998PzZqVfV22zOhOax2bzUZiYiI2m42srCwKCgqMbklEREREDKbTeqVmGjoU3+zZ5MfEUPTbb8R9/TWRb775xwjpM8/U6nuUVgcmk4mYmBgiIyPJzc2lsLCQOnXqaMIkERERkVpKI6dS86Sl4Xn1VbISE/ED9bKyiMzJKbsljFQ7h0ZRIyIiyMrKorCw0OiWRERERMQAGjmVGse9bh35DRtSZ/t2IouKyhY6HJr0qBo7NKtvREQEOTk5eDweYmNjMZlMRrcmIiIiIlVEI6dSY/j9fnJzcylo04ZEv5/I6Giw28tC6fLlmvQoDBwaRS0tLeXAgQOaLElERESkFtHIqdQIPp+P7OxsLBYLiV27YnrppbLTeDt0UCgNM2azmfj4ePLz89m/fz/x8fHYbDaj2xIRERGREFM4lbBXUlJCdnY20dHRxMTElC1MTlYoDXMxMTFYrVYOHDhAnTp1iIyMNLolEREREQkhndYr4WvWLEq6dSN79mxiY2P/CKZSY0RFRZGQkMDBgwc1UZKIiIhIDaeRUwlPs2bhGTmS7Lp1qZOWRqTVCkOGGN2VhIDNZiMhIYEDBw7g9/uJjo42uiURERERCQGNnEr4SUvDM28e2XXqUKegoGxG3pUrje5KQshqtZKQkEB+fj5r1hSQkgJpaUZ3JSIiIiLBpHAq4SUtjeI77yS7tJS62dlE5uWByQTduxvdmYSY1WolMzOBRx7J59VX3dx+uwKqiIiISE2icCrhIy2N4pQUcqxW6tapQ4TDAU2bwlNP6ZTeWuLLL63k5CRw0kkubDY36elGdyQiIiIiwaJwKuEhLQ3vwIHkbN9O3a1bidi+HerWhZdeUjCtRTp0AJPJyvbtiTgcLs4/X5MkiYiIiNQUmhBJwoJv3TqyHQ5iIyOJiI2Fc8+F0aN1u5haJjkZ5s+H9HQL7dvH07LlAUpKrLoPqoiIiEgNoHAq1Z7f7yenbVsiFy8mes8ecDgUTGuxP25ha6OwMI7s7GwSExOxWCxGtyYiIiIilXBc4fTnn38mNzeXhIQEmjZtGuqeRMrJy8vDdMEFxMyaBV98UXZup4KpUHYfVK/XS05ODgkJCZhMJqNbEqlWfD4fEyZMYNOmTdjtdiZNmkSTJk0C6z///HPmzJmD3+/n7LPPZvz48fp3JCIihqkwnHo8Hl544QVWr15NQkICiYmJ5OXlsW/fPq6++moGDBhAZGRkVfYqtc2sWbg/+ADPFVeQcP/9mDp1gk6djO5KqpmYmBi8Xi+5ubnUrVvX6HZEqpU1a9bg8XhITU1l/fr1pKSkMG/ePABcLhfTp0/ntddeIz4+nhdffJGcnBzi4+MN7lpERGqrCsPpuHHj6NGjB/feey9m8x/zJvn9ftLS0hg3bhzTpk2rkialFho6FM9zz5GfkEDimjWYLRZNfCQVqlOnDvv378ftduNwOIxuR6TayMjI4JJLLgGgTZs2bNy4MbDuP//5D82bN+eJJ55gx44d9O7dW8FUREQMVWE4TUlJOeJyk8lEp06d6KQRLAmVtDT8L75Iblwccbm5WEtKYOVKhVOpkMlkom7duuzfv5/IyEhdfyryPy6XC6fTGXhssVjwer1YrVZycnL46quvePvtt4mOjqZfv360adOG008//bA6mZmZVdZzUVFRyLYXytqhrh+utUNdP1xrh7p+uNYOdX31XvW1/65jXnP6/fffs3LlSoqLiwPLJkyYEMqepLZLTyc/MRGry0VUYSGYTNC9u9FdSTVntVpxOp2B6+NFBJxOJ263O/DY5/NhtZb96K9Tpw7/+Mc/qFevHgDt2rUjMzPziOG0ZcuWVdMwZUE4VNsLZe1Q1w/X2qGuH661Q10/XGuHur56r/raR5KRkVHhumPe53TkyJGcddZZdOzYMfBHJJQ87dtT0KABcRYLREWVjZhq1FSOg8PhwO/3l/tlXKQ2S0pKIi0tDYD169fTvHnzwLqzzz6bn3/+mezsbLxeLxs2bODMM880qlUREZFjj5w2adKEXr16VUUvIvj9fg6ecw5xKSlYvvlGM/PK32IymYiLi+PAgQM6vVcE6NKlC+vWraNv3774/X6mTJnCK6+8QuPGjencuTPDhw9n4MCBAHTt2rVceBUREalqxwynV111FQ8++GC5W8gMHjw4pE1JLZWWhmvdOixJSURddRV07mx0RxKGbDabTu8V+R+z2czEiRPLLfvzz/Pu3bvTXZdNiIhINXHM03oXLVpEy5YtSUxMDPwRCbq0NEoHDsS9dClxgwfD/05DEzkRDocDn89HUVGR0a2IiIiIyHE65shpnTp1uPPOO6uiF6nN0tNx2e1ER0djycmB9HSdzisnzGQyERMTQ35+vu7HLCIiIhImjhlO69aty7hx42jVqhUmkwmAPn36hLwxqV28F15I4b/+Rf1du8BiKbvWVKQSIiMjyc/Pp7CwkKioKKPbEREREZFjOK4JkQD2798f8mak9nK1aYNjyhTMGRmaBEmCJiYmhry8PCIjIwMH10RERESkejrmNac9evTgtNNOY/DgwRQVFXHddddVQVtSm3i9XoqKinB07gyPPKJgKkETGRmJ2WzWtaciIiIiYeC47nPaqFEjADp16sSYMWNC3pTULvn5+TidTszmY34cRf62Q9ee+v1+o1sRERERkaM4rjTQpk0bAM4//3x8Pl8o+5FaprS0lOLiYqKjo41uRWqoiIgI3njDzDXXFDNrltHdiIiIiEhFjnnNaWxsLKmpqbRp04bvv/8eh8NRFX1JLVFYWBg49VIkFGbNgvHjo7DZCvnww7KZe4cMMbgpkUqYOHEivXv3pmXLlka3IiIiElTHTAQpKSls3ryZ6dOns2XLFqZMmVIVfUltkJZG4bPPEv3dd0Z3IjXYypVQUBBFTEwx4GPlSqM7EqmcSy+9lOeee46+ffvyxhtv4HK5jG5JREQkKCocOf3xxx85++yziY+PP+J1pofWi5yQtDQ8d96JPyoK+/z5MH++JkKSkOjeHT7+2Ex+fgTR0YV0766zPyS8JScnk5ycTHZ2NpMnT2b69OlcddVV3HvvvTRu3Njo9kRERE5YheF03bp1zJ8/n65du3LWWWeRkJBAfn4+GzZsYNWqVbRo0ULhVE5cejqFVitR0dGQmwvp6QqnEhKHTuFdvTqaLl3yGDJE4VTC25YtW1i+fDmffvop7du3Z9GiRXi9Xh544AGWL19udHsiIiInrMJweuedd7Jnzx4WL17Myy+/TE5ODomJiVxwwQWMHDmSk08+uSr7lBrGf9FFFP7rX9TbswcslrJ7m4qEyJAhMHiwnX37fJSUlGCz2YxuSeSEjR07lt69ezN48GCioqICy2+44QYDuxIREam8o06I1LBhQx588MGq6kVqEc+FF2J9/HEs69eXBVONmkqImUwmoqKiKC4uVjiVsHbJJZfQq1evwOMZM2YwfPhw+vXrZ2BXIiIilXfM2XpFgqoknzr7l+HJdWM/+XTofB/YYozuSmoJu92O2+3G6XQa3YrI37Z06VKWLVvGli1bSEtLA8pux+X1ehk+fLjB3YmIiFSewqlUnX1r4bNuNPB5yS6KJsbug/8+DJeugvodje5OagG73U5OTg5+v9/oVkT+tp49e3LRRRfx/PPPc/fddwNgNptJSEgwuDMREZHgOK5wmp2dTVFRUeCxrjeVv60kHz7rBt58TH4TJb447P694PWXLb9+F9g0miWhZTabsVqtlJSUGN2KyN+2adMm/vGPf3DllVeydevWwPItW7bQsaMO8ImISPg7Zjh99NFH+eKLL0hMTMTv92MymXjzzTerojepSbalgt8HgMdvw2b2YjL9b/TK74PtqdD0DgMblNrCbrfj8XiMbkPkb/viiy/4xz/+wapVqw5bp3AqIiI1wTHD6aZNm/joo48wmUxV0Y/UVPm/QKkbAI8vAru5+I91pW7I32xQY1LbfPttBF995ebUU6No2dLobkSO34ABA/B4PDz22GNGtyIiIhISxwyn9evX1wQiUnkxzcDigFI3Hp8Nh8X9xzqLA2LONK43qTXS0uDuu+3ExuaSlXUyTZpoomgJH127dj3sQPGhM5o+/vhjg7oSEREJngrDaZ8+fTCZTBw4cIArr7ySU089FUCn9cqJadIHvhsGQKnfgtVU+sc6kxka9zGoMalN0tPB6zUTF+dn3z4f6ekKpxI+PvnkE6NbEBERCakKw+lTTz0FcNgN6w8ePBj6rqTmscWUzcr74RV4PRYs9lIoBmwRZcs1GZJUgQ4d4KWXYM8eKwUFfhwOozsSOX4TJ05k3LhxgYPHf6aDxiIiUhNUGE7tdjsul4uRI0cybdo0/H4/Pp+PcePGsWzZsqrsUWqK+h0pPXk5/pcewBRTADkRcO9ruo2MVJnkZBg6FGbOtBAZ6eWZZ+DcczV6KuHh3nvvBf44eCwiIlLTVBhON2zYwIIFC9i6dSuPPvooUHYbBs0IKJVR2vEKsraO5JSsLOjXQalAqpzbDdHRFurWLSY7O0an9krYSExMBMDn8zFt2jR+++03mjVrxsMPP2xwZyIiIsFRYTi94ooruOKKK/j888/p1KlTVfYkNVhpaSklrVvD+ecb3YrUUh06wOuvW3C5SrBYyh6LhJPRo0czcOBAkpKS+Oabbxg9ejSvvPKK0W2JiIhUWoXhdNSoUYHvV69eXW7d1KlTQ9eR1GilpaWYzWaj25BaLDkZnnnGwvvvZ3PttYkaNZWwY7FYAgeNL7/8chYsWGBwRyIiIsFRYTjt1q0bAIsXL6Zt27YkJSXxww8/8MMPP5zwxnw+HxMmTGDTpk3Y7XYmTZpEkyZNTriehJ9Dtz0QMVLHjmZiYnK54AKjOxE5fmvXrgUgKiqKF198kfPPP5/vv/8+cLqviIhIuKswnF5yySUAvPLKKwwaNAiA8847j//7v/874Y2tWbMGj8dDamoq69evJyUlhXnz5p1wPQk//kGDOP3f/4aLLgJNrCUGGTECPv20EZddBs88Y3Q3Isdn5cqVANSpU4dff/2VX3/9FSibwFBERKQmqDCcHlJQUMAXX3zBP/7xD/7zn/9QXFx8whvLyMgIhN42bdqwcePGE64lYeif/4SPPsJaWgr/+lfZYwVUqWJDh8Jzz5mIibHx7LNlyxRQJRxUdEnNvn37qrgTERGR0DhmOJ08eTLTp09n69atNGvWjCeeeOKEN+ZyuXA6/7ifpcViwev1YrX+0UZmZuYJ168KRUVF1b7H6urMjz/GD5gAP+D9+GM2a1+eEH0OT9w775wOmCg7u9zPO+8Uc/fdWw3uKjzpc2iMZ555hsWLF1NSUkJRURGnnXZaYFRVREQknFUYTg+FxlNPPZVnDw0vVJLT6cTtdgce+3y+csEUoGXLlkHZVqhkZmZW+x6rrc6dMX34IZhMmABb587alydIn8MT17MnPPdcMX6/CTDRs2ek9uUJCofPYUZGhtEtBN0nn3xCWloaU6ZM4f/+7/947LHHjG5JREQkKCoMpyNHjmTGjBl07do1MIHNoclsPv744xPaWFJSEp9++indunVj/fr1NG/e/MS6lvC0bBmmvn3x/vvfcNVVOqVXDHHoFN5PP/XQr59O6ZXwU69ePex2O263myZNmlBSUmJ0SyIiIkFRYTidMWNG4Gvbtm2DsrEuXbqwbt06+vbti9/vZ8qUKUGpK+HD9NJL/LppE+edd57RrUgtlpLiY+PG3zn//JONbkXkb2vYsCHLli0jKiqKGTNmkJeXZ3RLIiIiQXHMa06XL1/O448/Ttu2bbnyyis5//zzT/g+lWazmYkTJ57Qa6VmsFgs+Hw+o9uQWk7325VwNnHiRPbs2UPXrl156623AgeTRUREwt0xw+njjz8OwLfffsv06dPZvn07X3zxRcgbk5rJ8uWXxKxcCYWFkJxsdDtSS6Wnl/LBBwm43foYSvg5ePAgr732Gr/99hvNmjWjQYMGRrckIiISFMccOnj11Ve5++67mTZtGm3btmX69OlV0ZfURGlpWO+8E+d778H118OsWUZ3JLVQWhoMHVrKggWJ3HRT2WORcDJy5EgaN27MAw88QIMGDRg5cqTRLYmIiATFMUdO165dS15eHldeeSUdO3akRYsWVdGX1ETp6ZhdLkxWK/6DBzFNmADnnquhK6lSixZBbq6XggIHBw+WPdZHUMJJcXExN998MwAtWrTggw8+MLgjERGR4DjmyOlLL73EwoULadasGZMnT6Zjx45V0ZfURB06gMeDxevFGxkJdjukpxvdldRCFksppaUWo9sQ+Vu2bt3K1q1bqVu3Lu+//z5ZWVl8/PHHNGrUyOjWREREguKYI6cffvghaWlp/Pjjj5xzzjkMGjSoKvqSmig5GSZMwPzkk5QmJGCz2coCq0gVuummUtLTTeTlQUwM9OtndEcix2fcuHGB79944w0WL14cuMWbiIhITXDMcJqRkcF1113H448/rh+AUnlDhrDf6SRyzx4iL75Y51NKlWvf3sP06XY+/PAA113XQB9BCRsLFy4MfJ+Tk8OOHTto1KgR8fHxBnYlIiISPMcMp6NGjaqKPqQW8Z53Hp5PPoEpU2DDBhgyxOiWpBbxeDx07GinSZO9tGypWU4l/Lz//vs8/fTTNG3alF9++YXBgwfTs2dPo9sSERGptGOGU5FgS0xNpWTBAnx792L++OOyhQqoUgXS0mDtWg8XXRRHw4ZGdyNyYl599VWWL1+Ow+HA5XJx2223KZyKiEiNoLvQS5WL+fxz7MXFeCIjweeDlSuNbklqgbQ0uPlmH6++Wsott9j49tsoo1sSOSEmkwmHwwGA0+kkIiLC4I5ERESCo8KR0z59+hx2jemhiRfefPPNkDcmNZfn9NOxb9iAx2Qi0ueDs84yuiWpBcpuIePB67Vz4ICJd9+NpX9/o7sS+ftOPfVUUlJSaNeuHd9++y2NGzc2uiUREZGgqDCcPvXUU1XZh9QipuJi7F4v+U4nuN1QVGR0S1JLREQU4/HYjW5DpFImT57M0qVLSU9Pp2nTpgwfPtzolkRERIKiwnB6yimnALBt2zZWr15NSUkJAPv27WPixIlV053UWHavF6/djtdsxrp7t9HtSC1w9tl+PvqoiOzsBOrXhx498gDNcirh5+6772b+/PlGtyEiIhJ0x7zm9NAR2e+++46dO3eSm5sb6p6khsvr0QNTXBxRBQUUOhyQkVF2QaBIiKSlwVNPFVNaasHns/LII9CuXaHRbYmckNjYWNasWcOWLVvYunUrW7duNbolERGRoDjmbL3R0dHcdddd/Pbbb0ydOpWbb765KvqSGqywXTu44Qaily8n+4wziNm3D9LTdc9TCZknn4T8/EJKSqIpLISNG+GKK4zuSuTvc7lc7NixgwULFgSWmUwmXnvtNQO7EhERCY5jhlOTyURWVhZut5uCggIKCgqqoi+p6fr1w/bxx5iLiymOjCSiQwejO5IaKi0NPv/cR3R0MTk5cZg1R7mEqddff5358+djsVgYOnQoyTqgJyIiNcwxw+ngwYP56KOP6NmzJ1dccYXupSbBkZwM8+cTvW4dBUlJROiXLAmR9HSIjy/E5YoAzDgc0K+f0V2J/H3vvfceq1evxuVyMWLECIVTERGpcY4ZTs8//3yaNm3Kjh07WLVqFXXq1KmCtqRWSE4mqmNH8vftw+fzYdaQloSAwwEWSwFWayx168KECWXHRjIzje5M5O+x2+3Y7Xbi4+MDkxSKiEjo/eXumkfR8pjP8Psr1UqNd8w0sGjRIvr27csLL7xAnz59eOedd6qiL6klzGYzkZGRuN1uo1uRGigtDWbMKMLr9VNQEMGECTBkiNFdiVSeX7/diIhIDXTMkdOlS5fy7rvvEhERQWFhIbfccotO7ZWgcjqd7N+/H4fDodFTCapFi6CoKJ/CwhgKCsomQhIJV5s3b2b48OH4/f7A94fMmDHDwM5ERESC45jhNCEhAYvFAkBkZKRO65Wgs1qtREVF4XK5iI2NNbodqSHS0uCHH4oAKCqKMrgbkcp7+umnA9/37dvXuEZERERC5Jjh1O/3c91119G2bVt++uknvF5v4GitjtRKsDidTrKysnA4HIGDISInKi0Nbr/dj92eT35+DHY7xMZqIiQJbxdccIHRLYiIiITUMcPp3XffHfi+R48eIW1Gai+LxRIYPY2LizO6HQlz6elgsRRRv76JnJxIzj0XRo/WrXRFREREqrNjXuDXqlUr1q1bx1tvvUVubi4NGjTgggsu0BFcCTqn00lhYSGlpaVGtyJh7qKL/MTE5PP77zE4HAqmIiIiIuHgmOF09OjRnHrqqWzbto3ExETGjBlTFX1JLWSxWHA6neTm5hrdioSxtDRIT3dxyy1W7rgjgvnzFUxFREREwsExw2lubi7//Oc/sVqtJCUl4fP5qqIvqaUcDgc+n4+CggKjW5EwlJYGgwaVsHSpmzlz4ujQQcFUajefz8e4cePo06cP/fv3Z9u2bUd8zsCBA1m8eLEBHYqIiPzhuO7bsWXLFgD27NmjyWokpEwmE3Xq1CEvL0+n98rftm6dn6ioXCIi4vB6LaSnG92RiLHWrFmDx+MhNTWV4cOHk5KScthznn76afLy8gzoTkREpLxjhtOxY8cyevRofvrpJ+6//34eeeSRquhLajGbzYbD4dDpvfK3tWvnwmSysGdPFBYLdOhgdEcixsrIyOCSSy4BoE2bNmz8y81+V69ejclkCjxHRETESMecrbd58+akpqZy8ODBwDWBIqHmdDrZv38/BQUFREdHG92OVHNpabBuXQnnnutm5sx6fPklOqVXBHC5XOV+blssFrxeL1arlZ9//pn33nuPZ599ljlz5hjYpYiISJkKw+mPP/7ImDFjWLp0KZ999hnjxo0jNjaWkSNHcvnll1dlj1ILHTq998CBA9jtdqzWYx5HkVoqLQ3uuMOH05nDwoWxPPecBZ3gIVLG6XTidrsDj30+X+D/07fffpu9e/dy22238fvvv2Oz2TjllFNIPsJRnczMzCrruaioKGTbC2XtUNcP19qhrh+utUNdP1xrh7r+idduGbQeTvS9Vc/9EnwV/sY/bdo0UlJSsNlszJw5kxdffJHTTjuNgQMHKpxKlbDZbMTGxpKdnU1iYiJm83FdIi21zJNP+nG5crFaIygqiiY9XSOmIockJSXx6aef0q1bN9avX0/z5s0D60aMGBH4ftasWSQmJh4xmAK0bBm8X8yOJTMzM2TbC2XtUNcP19qhrh+utUNdP1xrh7p+qHs/Hie6/Zq0XzIyMipcV2E49fl8tGjRgr1791JYWMg555wDoIAgVSo6Ohqv10tOTg7x8fGYTCajW5JqZNYs+Pe/87FY/Pz3v7EkJuo6U5E/69KlC+vWraNv3774/X6mTJnCK6+8QuPGjencubPR7YmIiJRTYTg9dNrPv//9by666CIASkpKyp0eJFIVYmJiyMnJIS8vj7i4OKPbkWrkgw8KiIwsIjc3EZPJxOmna9RU5M/MZjMTJ04st6xp06aHPW/IkCFV1ZKIiEiFKhwGveiii+jbty+zZ8+mf//+bN++nXvuuYdu3bpVZX8igetPPR6PDo5IgMfjoXPnPHJy4ikpMWOxQP/+RnclIiIiIieqwpHTO++8k86dO+N0OmnQoAHbt2+nT58+dOnSpSr7EwHKjv7XrVuXAwcOYLFYiIyMNLolMdChU73vvbcuVquVlSuhe3fQ4I+IiIhI+DrqFKh/PvWncePGNG7cOOQNiVTEarVSt25dsrOzqVOnjgJqLeX1ejlw4AAxMTFEREQwZIhCqYiIiEhNoNmNJKzY7XYSEhLIzc2lqKjI6HakipWUlHDgwAFiY2N1/1sRERGRGkbhVMKOzWYjISGBgwcPUlhYaHQ7UkVKSkrIzs4mNjaWqKgoo9sRERERkSBTOJWwZLPZiI+PJy8vTwG1FlAwFREREan5FE4lbP05oGoW35rL4/Fw4MAB4uLiFExFREREarCjTogkUt0dOsU3Ozsbr9dLbGwsJpPJ6LYkCNLSYN26As49N4/OnesSERFhdEsiIiIiEkIaOZWwZ7VaSUxMxOv1kp2djc/nM7olqYS0NLjrLj8DBx5kyRIXDzyQyFdfKZiKiIiI1HQKp1IjmM1m4uPjsVqt7N+/n5KSkrKUk5JS9lXCQloa3HFHKR99lE1urpfCwkRKSqykpxvdmYiIiIiEmsKp1Bgmk4m4uDhiYmI48NFHFNx9Nzz/PNx+uwJqGJg1C+6+24PJtJ+4ODs5OfHs3WvGYoEOHYzuTkRERERCTeFUapyoqCgSN2zAFRFBzqmnUurzoaG36u3ZZ/2MH59Hbm4227fHsX17DPXrm7jxRpg/H5KTje5QREREREJNEyJJjWS9+GLqvfwy+R4PWQkJxJ1/Pprntfopm/TIw0cf5WI228jPr0dJiYWEBHjpJYVSERERkdpE4VRqpuRkTPPnE5ueTmT79hw85xwKs7OJi4vDYrEY3V2tl5YGixb5+fTTfJzOQvbtiyU3t+zwgdkMQ4YomIqIiIjUNgqnUnMlJ0NyMnYg0e/H5XKRlZVFbGws0dHRRndXa6WlwZ13evB6czl40IbFUg+bzUy3buDxQPfuZeFURERERGoXhVOpFUwmEzExMURGRpKbm0tBQQGxsbHY7fbAc/KL80n9MZVfDvxCs4Rm9Dm7DzERMQZ2XfN4vV7WrcsnOtqDxxPHtm2RlJZCfDw89JBGS0VERERqM4VTqVVsNhuJiYkUFhaSk5ODzWYjJiaGr3Z/RbdF3fD5fbhL3DhsDoZ9MIxV/VbRsXFHo9sOe6WlpbhcLgoLC2nXzsHLL9ehtNRE/fpwzTXQr5+CqYiIiEhtp3AqtY7JZCI6OpqoqCgKCgrYsXsHfV/vS0FJAaWUAuAucQPQbVE3dg3fhdPuNLLlsDN0KLz/Plx9tY9Jk9y43W6io6OpX78+XbqYmT+/bALlDh0USkVERESkjMKp1FomkwmHw8HH//2YYm8JiSRSSCFu3IGQ6vP7SN2Yyh1JdxjcbXiYNQuefBJ27PDhcBSQmurCbI7kySfrlZuI6n+XA4uIiIiIBOg+p1Lrbc7ezH7/PrLIAiCRROpSFzt23CVuFq7cTFqawU2GgVmzYMSIEg4ePEiDBvuwWks4cCCBlSvraIZkERERETkmjZxKrdcsoRmRZgdFPjd55JFPPlFEEUcclESx+bvTuX2Bn6FDTbjdOhX1z8ruU+rngguK+fhjN3XreiksjGbfvnr4fGWB9OqrDW5SRERERMKCRk6l1utzdh9s1j/+KfjxU0ABWWSR53fRpLAbkZF7efLJPObMKeH668tGCWurtDS46y7o2dPL7be7WLIki4cfdnHaadFkZdUnPz8Gv99CvXpw//3wzDNGdywiIiIi4UAjp1LrxUTEsKrfqsNm6/X7zNT55B127WmE2+0lMrIAvz8Hux2mT4/knHOiuOwym9HtV6nPPvMycGARLlchJlMpHk8kERF1KCiw07AhPPUUrFype5WKiIiIyN+ncCoCdGzckV3Dd5G6MZXN2Zs5M/5M+pzTh++SnaSng8NhZcKEWA4ejCUysoSGDQv54osczj4bIiMjiYqKwmazkZZWM2ah/fP76NDBS1FREYWFhaSnlwVStzuWoiI7Pp8Jv7/sPqWH3rNCqYiIiIicCIVTkf9x2p2Hzcr711llJ0wAu90G2OjYMZa6dUsC90z99lsfo0fbKS6O4JVX7LzwgpVOnUwh6dVc6obNL0H+LxDTDJr0AVtMUGp/9pmX++7zYDZ7WLasmIkT4eKLI4mNjeXii+3MmWOiqKjsuXXrwg036D6lIiIiIlJ5VR5OP/roI1avXs2MGTOqetMilTJkCJx77l9HRm3YbDZiY2PZsKGUwkIP9esX43K5WbfOxz/+YcduL/tjtVoxm4Nwmfe+tZy5sSuYgFI3WBzw3TC4dBXU73jY0ysazT00mdGFF3q54AIPHk/Zn/R0MJvtxMTY2bfPyfffW+nWrew1nTrB4sWwaFHZY4VSEREREQmWKg2nkyZNYu3atbRs2bIqNysSNEe7P+fFF1t4+eUodu6MwmKBDh1KiYoqC3wHDx7E6/ViNpuxWq2H/TnuW62U5MNn3bD43H8sK/3f9591g+t3gc0ZWJWWBrffDj6fj1df9TJ7tpcLLvCSnu5l7Fgvfn8py5ZZmDLFziWXRBATE0PHjlbmzweXi/+9j+PfByIiIiIiJ6pKw2lSUhJXXHEFqampVblZkSqRnAzz5/95lNICRBEVFRV4TmlpKV6vF6/XS0lJ2SnBXq8Xv9+P2Ww+6h8A09bF4LVBaSQA/rKl+DFRUhqFKXMRvsZ98Pl8+Hw+1q71ERfnIy7OT3a2lW++sXHhhVb+859ocnOt1Klj4cABE//5D1x1VUXvo0p3o4iIiIjUUiEJp0uXLmXBggXllk2ZMoVu3brx1VdfHfW1mZmZoWgpaIqKiqp9j9VdTd6H9epBz55l3/+dt+j3+/H5fOW+/vV7gPg9GdT1AEQDfkz/u6TVhB8zReT8/h05vvaYTCbMZjONGkWzf/8p7N1rxmyGRo12sWNHIY0aReHxnMyePT7MZjjllF1kZhZW+n2Ek5r8Oawq2ociIiISTCEJp71796Z3794n9NrqfspvZmZmte+xutM+rITNGyBj0R+n8v5JqclBbPMLaNK0TWDZP/4Bp53251HQ0wBo2RKaNDl8eW2iz2HlhcM+zMjIMLoFEREROU6arVcknDTpUzb50RFYLGZo3Oew5RVdI6prR0VERESkOgnC1KEiUmVsMXDpKkrNjrJZeqHsq7Vs+Z8nQxIRERERCSdVPnLavn172rdvX9WbFak56nfkl3M+o0XUBsjfDDFnlo2YKpiKiIiISBjTab0iYchvcUDTO4xuQ0REREQkaHRar4iIiIiIiBhO4VREREREREQMp9N6RUREpGocujnzURzXzYn+d+9nERGpWTRyKiIiIiIiIoZTOBURERERERHDKZyKiIiIiIiI4RRORURERERExHAKpyIiIiIiImI4hVMRERERERExnMKpiIiIiIiIGE7hVERERERERAyncCoiIiIiIiKGUzgVERERERERwymcioiIiIiIiOEUTkVERERERMRwCqciIiIiIiJiOIVTERERERERMZzCqYiIiIiIiBhO4VREREREREQMp3AqIiIiIiIihlM4FREREREREcMpnIqIiIiIiIjhFE5FRERERETEcAqnIiIiIiIiYjir0Q2IiIhIaPh8PiZMmMCmTZuw2+1MmjSJJk2aBNa/+uqrrFy5EoBOnToxePBgo1oVERHRyKmIiEhNtWbNGjweD6mpqQwfPpyUlJTAuh07drBixQrefPNNlixZwtq1a/nvf/9rYLciIlLbaeRURESkhsrIyOCSSy4BoE2bNmzcuDGwrmHDhrz00ktYLBYAvF4vERERhvQpIiICCqciIiI1lsvlwul0Bh5bLBa8Xi9WqxWbzUZ8fDx+v59p06bRqlUrTj/99CPWyczMDEo/LYNS5cT7KSoqCtp7qer64Vo71PXDtXao64dr7VDXP/Hawfrfq3r+/xXqv9O/Q+FURESkhnI6nbjd7sBjn8+H1frHj/7i4mJGjx6Nw+Fg/PjxFdZp2TJ4v5gFw4n2k5mZGdL3Esr64Vo71PXDtXao64dr7VDXD3Xvx6M6/v9V1fslIyOjwnW65lRERKSGSkpKIi0tDYD169fTvHnzwDq/38+9997LWWedxcSJEwOn94qIiBhFI6ciIiI1VJcuXVi3bh19+/bF7/czZcoUXnnlFRo3bozP5+Prr7/G4/Hw73//G4Bhw4bRtm1bg7sWEZHaSuFURESkhjKbzUycOLHcsqZNmwa+/+GHH6q6JRERkQrptF4RERERERExnMKpiIiIiIiIGE7hVERERERERAyncCoiIiIiIiKGUzgVERERERERwymcioiIiIiIiOEUTkVERERERMRwCqciIiIiIiJiOIVTERERERERMZzCqYiIiIiIiBhO4VREREREREQMp3AqIiIiIiIihlM4FREREREREcMpnIqIiIiIiIjhFE5FRERERETEcAqnIiIiIiIiYjir0Q2IiIiIiPzVnj17jvmc/fv3H/N5DRs2DFZLIhJiGjkVERERERERwymcioiIiIiIiOEUTkVERERERMRwCqciIiIiIiJiOIVTERERERERMZzCqYiIiIiIiBhO4VREREREREQMV2X3Oc3Pz+fhhx/G5XJRUlLCI488Qtu2batq8yIiIiIiIlKNVVk4feWVV7jwwgsZMGAAv/76K8OHD+ett96qqs2LiIiIiIhINVZl4XTAgAHY7XYASktLiYiIqKpNi4iIiIiISDUXknC6dOlSFixYUG7ZlClTaN26NVlZWTz88MOMHj36iK/NzMwMRUtBU1RUVO17rO60DytP+7DytA8rT/tQREREgikk4bR379707t37sOWbNm1i2LBhjBgxggsuuOCIr23ZsmUoWgqazMzMat9jdad9WHnah5WnfVh54bAPMzIyjG5BREREjlOVnda7efNmhg4dytNPP02LFi2qarMiIiIiIiISBqosnM6YMQOPx8PkyZMBcDqdzJs3r6o2LyIiIiIiItVYlYVTBVERERERERGpiNnoBkREREREREQUTkVERERERMRwCqciIiIiIiJiOIVTERERERERMZzCqYiIiIiIiBhO4VREREREREQMp3AqIiIiIiIihlM4FREREREREcNZjW5ARERERELEZDrmU1oeby2/v1KtiIgci0ZORURERERExHAKpyIiIiIiImI4hVMRERERERExnMKpiIiIiIiIGE7hVERERERERAyncCoiIiIiIiKGUzgVERERERERwymcioiIiIiIiOGsRjcgIiIiIiI12549e47refv37z/mcxs2bBiMlqQa0sipiIiIiIiIGE4jpyIiIiJHoREfqU5MpuN5VstjPsPvr3QrIkGnkVMRERERERExnMKpiIiIiIiIGE7hVERERERERAyncCoiIiIiIiKGUzgVERERERERwymcioiI1FA+n49x48bRp08f+vfvz7Zt28qtX7JkCb169eLGG2/k008/NahLERGRMrqVjIiISA21Zs0aPB4PqamprF+/npSUFObNmwdAVlYWCxcu5F//+hfFxcXcfPPNXHzxxdjtdoO7FhGR2krhVEREpIbKyMjgkksuAaBNmzZs3LgxsO7777+nbdu22O127HY7jRs35r///S+tW7c2ql0REQmy47lP8/Hcoxmq5j7NJr+/+tyCNyMjw+gWRESkhjnvvPOMbsEwY8aM4corr6RTp04AXHrppaxZswar1co777zDzz//zMMPPwzAiBEjuO666+jQoUO5GvrZLCIiwVbRz+ZqNXJam3+BEBERCTan04nb7Q489vl8WK3WI65zu93ExMQcVkM/m0VEpKpoQiQREZEaKikpibS0NADWr19P8+bNA+tat25NRkYGxcXF5Ofns2XLlnLrRUREqlq1Oq1XREREgsfn8zFhwgR+/vln/H4/U6ZMIS0tjcaNG9O5c2eWLFlCamoqfr+fu+66i6uuusrolkVEpBZTOP2b8vPzefjhh3G5XJSUlPDII4/Qtm1bo9sKSx999BGrV69mxowZRrcSNg79orlp0ybsdjuTJk2iSZMmRrcVljZs2MCTTz7JwoULjW4l7JSUlDB69Gh+//13PB4P99xzD507dza6LREREQlz1eqa03DwyiuvcOGFFzJgwAB+/fVXhg8fzltvvWV0W2Fn0qRJrF27lpYtWxrdSlg52m0h5Pi9+OKLrFixgqioKKNbCUsrVqygTp06TJ8+ndzcXK677jqFUxGpUj6fD7NZV6eJ1DQKp3/TgAEDAveAKy0tJSIiwuCOwlNSUhJXXHEFqampRrcSVo52Wwg5fo0bN2bWrFmMGDHC6FbCUteuXQOnf/r9fiwWi8EdSTj773//S3p6Ovn5+cTGxnLeeeeFze1s1qxZwxdffFGu965du2IymYxu7ajCte8dO3YwdepUNm7ciNVqxefz0bx5c0aNGsXpp59udHtSzemARnhQOD2KpUuXsmDBgnLLpkyZQuvWrcnKyuLhhx9m9OjRBnUXHirah926deOrr74yqKvw5XK5cDqdgccWiwWv1xuYfVOOz1VXXcXOnTuNbiNsORwOoOzzeP/99/PAAw8Y25CErdmzZ/P999/TsWNHGjVqhNvtZvbs2bRq1arSn6u1a9dWuK5jx46Vqg3w2GOP4fP5SE5OxuFw4Ha7SUtLY+3atUyePLlStYcPH17huspeChPKvoGjHnTu06dPpWqPGTOG4cOHc+655waWrV+/nlGjRvHmm29WqrbH46lw3aFBicoK14MCxcXFLF68mC+//JL8/HxiYmJo164dt9xyC5GRkUa3d1ThfEAjOzubb775JvB5adOmDfXr1ze6rZDTb7RH0bt3b3r37n3Y8k2bNjFs2DBGjBjBBRdcYEBn4aOifSgn5mi3hRCpSrt37+a+++7j5ptvpkePHka3I2EqPT2dN954o9yy/v37c+ONN1Y6nC5ZsoSNGzfSvn37w9YFI5z+8ssvvP766+WWde7cmb59+1a6dteuXZk5cyYTJkyodK2/CmXfAL/++iuffvop1157bVDq/ZnH4ykXTKHsLKJg6NGjBwcOHCAuLg6/34/JZAp8/fjjjytdP5wPCowaNYoWLVrwwAMPlOt9+PDhzJkzp1K1+/fvT0lJSbllh/Z7ZQ84QGgPaISy96VLl5Kamsp5552Hw+Hgl19+4bnnnqN3797cdNNNlaoNof28VJZ+q/2bNm/ezNChQ3n66adp0aKF0e1ILZOUlMSnn35Kt27dDrsthEhV2b9/P7fffjvjxo3joosuMrodCWNer5edO3fSqFGjwLKdO3cG5dS7mTNncssttzBo0CDOOOOMStf7K5/Px7fffku7du0Cy7755htsNlula3fp0oWvv/6aAwcOcPXVV1e63p+Fsm8oCzK//vorycnJQT89+6yzzmLUqFFccsklxMTE4Ha7+fzzzznrrLMqXXvx4sXccccdvPrqq8TFxQWh2/LC+aDAvn37eOqpp8ota9GiBTfffHOlaz/00EOMHTuWOXPmhOQSkVAe0Ahl7//6179YvHhxuX+XHo+Hm266KSjhNJSfl8pSOP2bZsyYgcfjCRzlcjqdmpBGqkyXLl1Yt24dffv2DdwWQqSqPffcc+Tl5TF37lzmzp0LlE0yVd1P75LqZ/To0QwePJiSkhKcTiculwu73R6UEUOLxcK0adPKnW0STCkpKUydOpVhw4YBYDabadmyJY8//nhQ6o8ZMyYodf4q1H0DPPHEExQUFASt3iETJkxgzZo1ZGRkBC5zueyyy+jSpUula8fHxzN8+HB++umnkBx0C+eDAhEREbz99tuBgwIul4u0tDSio6MrXfvcc8+lZ8+ebNq0KSh/j38VygMaoezd6/VSXFxc7vNRVFQUtFPAQ/l5qSzdSkZEREQM5XK5cLvdOJ3OwDXNwaSJUA6XnZ2Ny+UiJiaGunXrBr1+Tk5OoH6dOnWCXj/cbN++nalTp/Ljjz8CfxwUGDlyJKeddlpQtpGdnU1BQUG5MxGCIScnhzlz5vDdd9/hdrtxOBwkJSVxzz33kJCQENRtBZvf7w8c0Dj0f0zbtm3p0qVLtb7W95NPPiElJYUmTZoEDghs27aNUaNGcemllwZlG6H6vFSWwqmIiIgY4tBkJT/++CMWiyWok5WEsnaohfJatu+//56JEyfi8/kC1w/6fD7Gjx8flPu2/7l+dHQ0brcbv9/PuHHjSEpKqlTtrVu3Vriusn+noaz9ZzooUPX++9//sm7dOvLz84mLiwvqjOChnG3c6/WyZcuWwFkCTZs2rRXzjCicioiIiCFuvfXWI05WkpKSUukQFsraENoAuWHDhgqvZTvllFMqVfumm27iqaee4qSTTgos27VrF0OHDmXp0qWVqh3q+jfddBM7duzgjDPO4M+/vppMJl577bVqWxvC+6BAKPXo0YOcnJwjrjvajNvH688zgh/a72vXrg3KjOChrB1qf72G+M8OnfJvlJofv0VERKRaCuVkJaGsDaGdDCXU17L9OTgCnHTSSUE7xTGU9efPn88tt9zC9OnTadCgQaXrVVVtgKlTpzJr1qyQHRQIZf1QBsjZs2czbNgwFi1aFJJ5C0I5I3goa4c6PMbHx7N48WLuueceqts4pcKpiIiIGCKUk5WEsjaEfiKXgQMHBr0mQKdOnRgwYAAXX3xxYL+sXbuW5OTkal8/KiqKxx57jF27dgU9QIayNoT3QYFQBsgmTZpw66238tVXX9GpU6eg1obQzggeytqhDo8DBgxg48aN1K9fnw4dOgS9fmXotF4RERExRCgnKwnXiVAOCeW1bD/99FO5GW+TkpI4++yzg1K7KuqHo9mzZ/Ptt98GQrvL5WLdunWcd955DB48uNrXf+edd6hTp05IAmQobdiwgfHjxx82I/hjjz1W6X9PoawNZWdn9OrVK2Thsbi4mOLiYmJjY0NS/0QpnIocxQsvvEB6ejperxeTycTIkSM555xzKl13586dDBs2jCVLlhx1WWWkpqbSq1cvvvvuO958801mzpx51OdPmjSJgQMH0rBhw7+9raKiIsaPH09KSkpY/NInItVHqCcrCVXtQ/VDESDD+Vq2UDraKaQdO3astrUPORTa/3ywJBQHBUJVP1TWrFnDF198Ue7fUdeuXYP6+8ShGcEdDgdOpzNodUNZu7qGx1DTab0iFdi8eTOffPIJixcvxmQykZmZyciRI1mxYoXRrR2X559/nuuuu+64nrt+/XqsVusJBVOAyMhI2rZty9tvv831119/QjVEpPb5cwg79dRTcbvdzJ49O+iTlQS79l/rN2rUKKj1Q3ktW6hDWCjrL1myhI0bN9K+ffuwqn3Irl272Lp1a+BgSUJCAq1atQpaCAtl/VAFyMceewyfz0dycnLgQExaWhpr165l8uTJle77EKfTGfRQGuraERERREREBL0uwPDhwytcN2PGjJBs83gpnIpUICYmhl27drFs2TKSk5Np2bIly5YtA2DTpk1MmjQJgDp16jBlyhR++uknnnvuOcxmM1lZWfTp04d+/frx9ddfM3v2bPx+P263mxkzZhzzpttff/01M2fOxGKxcOqppzJx4kTeffddPv/8c4qKiti+fTuDBg2iV69efP/99zz22GM4HA4SEhKIiIjgvPPOIysriwcffJDbbruNbdu2MXDgQLKzs7nssssYMmRIue0tXLiQ//u//wPgt99+Y+zYsZSUlBAZGcnMmTOZNm0aVquVXbt24fF46NatG59++im7d+9m7ty5NG7cmKuvvpqBAwcqnIrIcQvXyUpCXT+U17KFOoSFsv7MmTO55ZZbGDRoEGeccUalalVlbQh9CAtl/VDW/uWXX3j99dfLLevcuTN9+/atVN1DQhnCwrU2QNeuXZk5cyYTJkyodK1gUzgVqUCDBg2YN28er7/+OnPmzCEyMpIHH3yQq666ikcffZQpU6Zw5plnsnTpUl566SU6dOjA3r17efvtt/H5fPTo0YOuXbvyyy+/BGb/e+6551i9ejU9evSocLt+v59HH32UN954g4SEBJ5++mneeustrFYrLpeLl19+md9++427776bXr16MX78eKZNm0azZs2YOXMme/fupXfv3sybN4+ZM2eyfv16iouLmTt3LqWlpVx66aWHhdOvv/6aqVOnAvDEE09w5513kpyczMcff8xPP/0ElN2+YNKkSYwbN46dO3fy4osv8uyzz/LJJ58wYMAA4uLiyMnJIT8/n5iYmND9xYhIjRGuk5WEuv6YMWMYMmQIHo+HyMhIiouLsdlsPPbYY5WuHeoQFsr6FouFadOmUVBQgM/nC9rfZahrQ+hDWCjrh7K2z+fj22+/pV27doFl33zzzTEP4h+vUIawcK0N0KVLF77++msOHDjA1VdfHZJtnCiFU5EKbNu2DafTGQhtP/zwA4MGDaJ9+/Zs2bIl8EtCSUkJp512GgBt27bFbrcD0KxZM7Zv306DBg2YPHky0dHR7N2795j3G8vOzmbfvn2BI+9FRUV06NCBJk2a0KJFC6BsBj6PxwPAvn37aNasGQDnnXceq1atOqxms2bNAn0d6QbOPp8vsH7r1q2Be6517twZgPfee49WrVoBEBsbG/iFIzY2NtAHQGJiIrm5uQqnInJcQhnCQlk71PXj4+M56aST+PbbbwOnUZ577rlB+b811CEslPV37NjB1KlT2bhxI1arFZ/PR/PmzRk1ahSnn356ta0NoQ9hoawfytopKSlMnTqVYcOG4ff7MZvNtGrViscff7zStSG0ISxcax8yZsyYkNStLIVTkQps2rSJ1NRU5s2bh91u5/TTTyc2NhaLxcLpp5/OE088wcknn0xGRgZZWVkAZGZmUlpaisfjYfPmzTRp0oR7772Xjz76CKfTyciRI485JXjdunVp2LAhc+fOJSYmho8//pjo6Gh27959xGs7GjZsyObNmznzzDPZsGFDYLnJZMLn8wW+P5qIiAhKS0uxWCw0bdqUH374gQ4dOrBixQoOHjx4XDUA8vLyiI+PP+bzREQgtCEslLVDXX/MmDE89NBD5SZXWr9+PaNGjeLNN9+sVO1Qh7BQ1h8zZgzDhw8vd//aYO2XUNaG0IewUNYPZe3GjRszb968Stc5mlCGsHCt3b9/f0pKSsot8/v9mEymoHzeK0PhVKQCV155JVu2bOGf//wn0dHR+P1+RowYQUxMDBMmTGDkyJGBWXwnT57Mvn378Hq9DBo0iNzcXO655x7i4+O59tpr6devH1FRUSQmJrJv376jbtdsNjNmzBjuvPNO/H4/DoeDadOmsXv37iM+f/z48YwePZro6GhsNlvg/mzt2rXjzjvv5L777jvme01KSuLHH3+kdevWjBgxgnHjxjFv3jwiIyOZPn06P/744zFr5OXlERsbi8PhOOZzRUQgtCEslLVDXd/j8Rw262+bNm0qVfOQUIewUNb3eDzl6kLw9ksoa0PoQ1go64ey9pFC0iHB+DyGMoSFa20ou03N2LFjmTNnDhaLpdL1gkm3khEJkq+++uq4btkSbIsWLeLqq68mPj6emTNnYrPZ/vY9zf7zn/+wcuVKxo4dW6k+nE4nPXv2POEaIlK79O3b94i/aFW0vLrUDnX98ePH4/F4uOSSS4iJicHtdvP5558H7qFYGdovVV8bjAlhwaofytobNmyoMCSdcsoplaod6vrhWvuQl156iSZNmtClS5eg1AsWjZyKhLmEhARuv/12oqOjiYmJISUl5W/XaNu2LStWrGDPnj0nfJ/T7777junTp//t14pI7XXWWWcxatSowwLBWWedVa1rh7r+hAkTWLNmDRkZGbhcLpxOJ5dddllQfonUfqn62hD6kapQ1g9l7XPPPZeePXuyadOmkISkUNYP19qHDBw4MCR1K0sjpyIiImIIv99/WCBISkqiS5culb5/YihrV0X9UNF+MU6oR6pCWb+6jrJJzaNwKiIiIiIiIoYL7vzhIiIiIiIiIidA4VREREREREQMp3AqIiIiIiIihlM4FREREREREcMpnIqIiIiIiIjh/h/8dxCLVUGscAAAAABJRU5ErkJggg==\n", 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" ] @@ -704,9 +704,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "The sum of the events with label 0 is: 0.4207267\n", - "The sum of the events with label 1 is: 0.0123559\n", - "The label for y_tilde is: 0 because sum_label0 > sum_label1\n" + "The sum of the events with label 0 is: 0.3371963\n", + "The sum of the events with label 1 is: 0.463727\n", + "The label for y_tilde is: 1 because sum_label0 < sum_label1\n" ] } ], @@ -793,8 +793,8 @@ "In this sample of 100 data points:\n", "the classifier predicted the true label correct 93 % of the times\n", "the quantum classifier predicted the true label correct 93 % of the times\n", - "the quantum classifier predicted the classifier label correct 100 % of the times\n", - "Could not assign a label 0 times\n" + "the quantum classifier predicted the classifier label correct 99 % of the times\n", + "Could not assign a label 1 times\n" ] } ], @@ -892,7 +892,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -905,7 +905,7 @@ "output_type": "stream", "text": [ "Results:\n", - "{'1001': 0.4013671875, '0010': 0.263671875, '1011': 0.103515625, '0100': 0.0673828125, '0000': 0.1318359375, '0110': 0.0322265625}\n" + "{'1011': 0.095703125, '1001': 0.3984375, '0010': 0.2587890625, '0100': 0.0751953125, '0000': 0.134765625, '0110': 0.037109375}\n" ] } ], @@ -1039,4 +1039,4 @@ }, "nbformat": 4, "nbformat_minor": 2 -} +} \ No newline at end of file diff --git a/docs/examples/classifier_example/classification_example2_4_data_points.ipynb b/docs/examples/classifier_example/classification_example2_4_data_points.ipynb index fc2161e..f519222 100644 --- a/docs/examples/classifier_example/classification_example2_4_data_points.ipynb +++ b/docs/examples/classifier_example/classification_example2_4_data_points.ipynb @@ -253,7 +253,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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\n", 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\n", 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" ] @@ -528,14 +528,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "The sum of the events with label 0 is: 0.4144496\n", - "The sum of the events with label 1 is: 0.0442006\n", - "The label for y_tilde is: 0 because sum_label0 > sum_label1\n" + "The sum of the events with label 0 is: 0.2037799\n", + "The sum of the events with label 1 is: 0.2595587\n", + "The label for y_tilde is: 1 because sum_label0 < sum_label1\n" ] }, { "data": { - "image/png": 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\n", 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2bYvX6+X+++9n7969nHfeeUyZMgW3283EiRM5cuQIAI888gjnnXdeicfX6/Xy7LPP8tBDDxVZfs011zBv3jwuuuiiU/4eioiISOWhcCoi1VpyMtx6K+Tnw6JFsHhx+QbUa665hu7du/Pmm28CsGvXLjIyMli0aBGHDx/m119/LfaeG264gdWrV3PXXXfx5ptvMnDgQLZt28aaNWt4/fXXAbjllluCofbiiy9m2LBhfPLJJ8TGxjJr1iy2bdtGVlYW0dHRAPh8Ph5//HFWrlxJfHw8L774Inv37uXRRx9l+fLl1K9fn1dffZWFCxdy6aWXAnDkyBHmzZvHW2+9hcvlYsaMGSQlJREZGUlMTAwLFy4sUvevv/6Ky+XC4XAUWb5t2zbGjRvHeeedxzvvvMObb75J27ZtycnJ4YEHHuCMM85g9OjRfPTRR3zzzTdcfPHFDBo0iF9//ZXx48ezfPnyEo9tu3btSlx+7rnnkpqaemLfIBEREakyFE5FpFrbsKEgmMbHw+HDBa/LM5yeffbZRV43bdqUAQMGMGbMGHw+H0OHDi32nj59+jBs2DBuvfVWvvzySx555BH++9//smfPHoYNGwbA0aNH2blzZ5FtJCQk8Ouvv3L33Xdjt9u56667gn0eOXKEmJgY4uPjARgxYgTp6em4XC7q168PwIUXXsiTTz4ZDKe7d+/m3HPPxeVyBdevX7+eCy64oNh+FW6jTp06xZbXq1ePBQsWEB4ejsfjCfZ3+umnc8YZZwDQpk0bduzYwU8//cTnn3/O+++/H9xPo2w2G3a7Hb/fXyG3F4uIiEjF0Ke6iFRrnTqBzVYQTG22gtflyWKxFHm9detWPB4PL7zwAomJiTz++OPF3hMXF0eTJk1YsGAB3bt3x263c84553Duuefy2muvsWTJEvr27Ru83bVwG1988QX16tVj8eLF3HXXXTz55JPBPuPj4zl27BgZGRkATJs2jd27d+N2uzlw4AAAX375JWeddVbwPQ0bNmT79u1kZWUF1xeG0pJCX+E2/mr69Once++9PPHEEzRr1oxAIADAvn37gtv+5ptvaNq0Keeccw7Dhg1jyZIlPPXUU1x77bVlH+S/CAQC2O12BVMREZFqpsKunObl5TFhwgR+//13vF4vd911F926dauozYtIDZWQUHArbyjGnJbkrLPO4tlnn+X9998PjtksSf/+/RkxYgRr164FoHnz5nTs2JEbb7wRr9dLq1atglc8CzVv3pwxY8awfPlyfD4f99xzT3Cd1Wpl8uTJ3HHHHVitVlq2bEmrVq2YNm0ao0aNwmKxUKtWLWbOnMnPP/8MFITkUaNGcdNNN2G1WmnUqBEPPPAA7733Xok1N27cmPT0dHw+H3b7Hx8f1157LaNHjyYmJoYGDRoEx5PGxsYybdo09u/fT5s2bejatSutWrVi4sSJrFixArfbzciRIw0f461bt9K6dWvD7xMREZHKrcLC6erVq4mNjWX27NlkZGRw3XXXKZyKSIVISCi/UNqwYUNWrFgBwJIlS4LL+/btG/z6mWeeKbOfjh078sMPPxRZNnz4cIYPH15kWWJiYvDr2rVr8/LLLxfrq7Cerl270rVr1yLrOnXqRKe/XC7u0KEDHTp0AKB379707t27yPo/78tf9e7dm48//pju3bvz4osvEhYWxi233MItt9xSrO2nn35abFnt2rVZsGBBseUpKSmlbvPPxxkKPk8GDx5cansRERGpmirsnqgePXowevRooOCWLJvNVlGbFhGRcnLzzTezdu1a/H6/Kds/ePAgbreb9u3bm7J9ERERCZ0Ku3IaFRUFgNvt5t577+W+++4rsV1aWlpFlXRScnJyKn2NlZ2O4anTMTx1OoYnb/jw4WzdutW0Y3jjjTfqeyciIlINVehsvXv37uWee+5h0KBBxW4jK9SiRYuKLMmwtLS0Sl9jZadjeOp0DE+djuGpqwrHUI+cERERqToqLJweOnSIW2+9lUmTJgUf6C4iIiIiIiICFTjm9LnnnuPYsWMsWLCAoUOHMnToUHJycipq8yIiIiIiIlKJVdiV00ceeYRHHnmkojYnIiIiIiIiVUiFjjkVEalombmZJG1J4ufDP9M0vikDzh9AdFj0SfeXmJjIli1bOHjwIDk5OZx55pnUrl37hB4fAwXP6Dx27BgXXnjhSdcwcuRI5s+fX+r6pKQk+vbti8PhOOltiIiIiFQ0hVMRqbbW71pPz2U98Qf8ePI8RDmiGPOfMawZvIZ44k+qz4cffhiAN998k19++YUHHnjA0Pv/+9//UqdOnVMKp8cLpgDPP/8811133Un3LyIiImIGhVMRqZYyczPpuawnmd7M4DJPngeAnst68lGvj8ptW3l5eUyePJmdO3fi9/u577776NChA3PnzuWLL77A5/Nx5ZVX0qdPH9566y0cDgfnn38+rVq1AuC3335j9OjR1K1bl/3795OQkMD999/Pb7/9xoQJE8jPz8disfDII4/QvHlzOnfuTEpKCkOHDqV58+b8/PPPuN1unn76aTZs2MDBgwe5//77WbBgQbnto4iIiEioVdiESCIiFSlpSxL+gL/Edf6An7W715bbtlauXEnt2rVZtmwZCxYsYOrUqQC88847/POf/+T1118nJiaG+vXrc/311zNs2LBgMC30+++/k5iYyKpVq/j888/ZsmULs2bN4qabbmLZsmVMnDiRCRMmFNt2q1ateOWVV+jcuTPvvfce/fr1o27dusydO7fc9k9ERESkIujKqYhUSz8f/jl4pfSvPHkedrp3ltu2fvrpJ1JTU9m8eTMAPp+P9PR0Zs+ezZw5czh06BBdunQ5bh/NmzcnNjYWKAicO3bsYPv27cHbf1u0aMG+ffuKva9ly5YANGjQgEOHDpXbPomIiIhUNIVTEamWmsY3JcoRVWJAjXJE0djVuNy2dc4559CgQQPuvPNOcnJyWLhwIS6Xi7Vr1/Lkk08C0LNnT3r16oXFYsHvL35Fd/v27WRnZ+N0Otm8eTP/+Mc/aNKkCV9//TXdunUjLS2NOnXqnFA9pW1DREREpDLTbb0iUi0NOH8AVkvJ/8VZLVZ6nNmj3LY1cOBAfvnlF4YMGcLAgQM544wzcDqd1KpVi/79+3PTTTfRuXNnTj/9dP72t7+xbNkyPv/88yJ9OBwORo8eTb9+/ejWrRvNmzfnoYceYunSpQwePJgpU6Ywffr0E6qnffv23H777QQCgXLbRxEREZFQ05VTEamWosOiWTN4TbHZeq0WK2sGryHKE3VK/fft2zf4tdPpZNasWcXajBw5kpEjRxZZdumll3LppZcWa1unTh1eeOGFIssaNmzIyy+/XKxtSkoKAEuWLAkuu/HGG4NfP/HEEye2EyIiIiKViMKpiFRblzS6hD1j95D0QxLb0rdxbty5DPjbAFxOF2lpaWaXJyIiIiJ/onAqItWay+nitra3mV3GcTVs2JAVK1aYXYaIiIiIqTTmVEREREREREyncCoiIiIiIiKmUzgVERERERER0ymcioiIiIiIiOkUTkWkesvLhG2L4NtxBX/nZZ5Sd1988QUdO3Zk6NChweearlmz5rjv2bNnDx999NEpbbckaWlpzJ8/v9T1ubm5rFy5sty3KyIiIhIKmq1XRKqvA+vhk54Q8EO+B2xR8M0YuHQNEH/S3V588cXMnTsXAI/Hw9ChQzn77LNp0aJFie0///xzfvnlFy6//PKT3mZJWrRoUeo2AQ4ePMjKlSvp169fuW5XREREJBQUTkWkesrLLAimvj9dKc33FPz9SU8sLcvnSmZUVBQDBgxg7dq1NGvWjEmTJrFv3z4OHDjA5Zdfzr333ssLL7xATk4Obdq0ITo6mvnz5xMIBPB4PMyZM4ezzz472N+bb77JunXr8Hg8HDlyhHvuuYerrrqKlJQUnnrqKcLCwoiNjWXGjBmkpaXxxhtvMHfuXK688kratm3Ljh07iI+PZ968eTz33HNs27aN+fPn07FjR5544gnsdjsRERE8/fTTuFyucjkGIiIiIuVBt/WKSPW0M6ngimlJAn5iMtaW26bi4+M5cuQIe/fupXXr1rz00kusWrWKN954A5vNxu23384111xDt27d+Pnnn5k9ezZLlizhyiuvZO3a4nVkZ2fz8ssvs3jxYhITE8nLy+PRRx9l/vz5LF26lAsvvJCFCxcWec/u3bsZPXo0SUlJpKen8/3333PnnXdy7rnnMnLkSNatW8fVV1/N0qVLufHGGzl27Fi57b+IiIhIedCVUxGpnjJ//uNK6V/le3Dm7iy3Te3Zs4cGDRoQGxvL999/z+eff47L5cLr9RZrW79+faZPn05kZCT79++nbdu2xdpceOGFWK1W6tSpQ0xMDIcOHcLlclG/fv3g+ieffJJLL700+J7atWtz2mmnAXDaaaeRm5tbpM8777yT5557jptvvpn69evTqlWrctt/ERERkfKgK6ciUj1FNy0YY1oSWxTesMblshm3283KlSvp0aMHb775JtHR0cyZM4dbb72VnJwcAoEAVqsVv7/gKu6jjz7KjBkzSExMpF69egQCgWJ9btmyBYBDhw7hdrupV68ebrebAwcOAPDll19y1llnFXmPxWIp1s+ft7t69Wquv/56lixZQtOmTVmxYkW57L+IiIhIedGVUxGpnhoPKJj8qCQWK8die3D6SXb9+eefM3ToUKxWK/n5+YwaNYpzzjmH/Px8xo4dy6ZNm3A6nTRu3JgDBw7QrFkzFi5cyPnnn8+1117L4MGDiYiIoE6dOsHA+WeHDh3i5ptvJjMzk8mTJ2Oz2Zg2bRqjRo3CYrFQq1YtZs6cyc8//3zcOuPj48nLy2P27NlceeWVPPLII0RERGC1Wpk6depJ7r2IiIhIaCicikj15IgumJX3r7P1Wqxw6RoCh0u5qlqGDh06sHHjxhLXNW3alNWrVxdbXr9+ff7zn/8A0KtXrzK3ceGFF/LAAw8UWdapUyc6depUrJYOHToAkJKSElxeOJMwwL///e/g17paKiIiIpWZwqmIVF/1LoHr98CuJMjcBtHnQqMB4HDB4TSzqxMRERGRP1E4FZHqzeGCJreZXcUJ69u3r9kliIiIiJhCEyKJiIiIiIiI6RRORUREqim/38+kSZMYMGAAQ4cOZefO4o9Q8vv9DB8+nOXLl5tQoYiIyB8UTkVERKqpdevW4fV6SUpKYuzYsSQmJhZr89RTT3Hs2DETqhMRESnKEijpIXsmSU1NpV27dmaXcVxpaWm0aNHC7DKqNB3DU6djeOp0DE9dVTiGVeFzJZRmzpxJq1atgrNEd+nShc8++yy4fu3ataSlpWG326lTpw433nhjsT5SU1OJjIwMSX05OTmEh4eHpH0o+65MtWg/q1ctNWU/K1Mt2s/yaW9EVlZWqZ/NmhBJRESkmnK73bhcruBrm82Gz+fDbrfz008/8e677/LMM8/w7LPPHrefUJ2EMHqCw0j7UPZdmWrRflavWmrKflamWrSf5dPeiNTU1FLXKZyKiIhUUy6XC4/HE3zt9/ux2ws++t9++23279/PzTffzO+//47D4eCMM84gISHBrHJFRKSGUzgVERGpptq2bcvHH39Mz5492bRpE82aNQuue+ihh4Jfz5s3jzp16iiYioiIqRRORUREqqnu3buTkpLCwIEDCQQCzJgxg5dffplGjRrRrVs3s8sTEREpQuFURESkmrJarUydOrXIsiZNmhRrN2rUqIoqSUREpFR6lIyIiIiIiIiYTuFURERERERETKdwKiIiIiIiIqZTOBURERERERHTKZyKiIiIiIiI6RRORURERERExHQKpyIiIiIiImI6hVMRERERERExncKpiIiIiIiImE7hVEREREREREyncCoiIiIiIiKmUzgVERERERER0ymcioiIiIiIiOkUTkVERERERMR0CqciIiIiIiJiOoVTERERERERMZ3CqYiIiIiIiJhO4VRERERERERMp3AqIiIiIiIiplM4FREREREREdMpnIqIiIiIiIjpFE5FRERERETEdAqnIiIiIiIiYjqFUxERERERETGdwqmIiIiIiIiYzl7RG/zuu+/45z//yZIlSyp60yJVR3IybNgAe/fC1q3QqxeMGlVym6go8HigUydISDCnXhERERGRU1Sh4fTFF19k9erVREREVORmRSqXsoJncjL+227Df/Qo/owM/HY7gZQU8PsJjBgBgOWLL8iaNQtLVhYcPowlLg7rK69gXbgQa9euWK3WottScBURERGRSq5Cw2mjRo2YN28eDz30UKlt0tLSKrAi43Jycip9jZVdTT6GsUuXUnf+fPIDAfxeL3lOJ/lffcX+ffvI6N2bQCBA9OrVxERG4sjLwxYIYLFYsPr9ZL/zDvs6dwbAtWkTbr8fi92ONSwMn9OJ32Yj4733OBIWBkD4jz/S4JlnsOTnY3vtNQ49+CB5bdtis9mwWq1YLBYivv6aiG+/xR8RgTU7m+w2bchu397MQ1RhavLPYXnRMRQREZHyVKHh9KqrruK33347bpsWLVpUUDUnJy0trdLXWNnVpGMYCATwer14vV58GzbgS0riYHQ0Vp8Pu8OBHXDm5XH2pk1Yp0zBarVi9XqxvP02ZGZCejpYrQV/+vSh4f8Hx1/T0qj37rsFt/MePQoOB0RFcdq110KnTgQCAfyffoo/Kwt/fDz5R48Svm8fvjPPxOfzkZ+fj23TJuxz5mB3u3Hu24czJgbr6tWweHGNuMpak34OQ6UqHMPU1FSzSxAREZETVOFjTkWqM7/fHwyjXq+XvLw8HA4HTqeTsG++ISo3F/vhw1hzcyEQ+CN49uhREDABunYtCIjHufU3u337P9qUMObUYrFg69wZ20svwYEDYLNB584QFwcUhGbfpk34srPxWa14IiPJqFMHm9WKMyUF54UX4nQ6sdlsFX4MRURERKRmUjgVOVmjR8P77+O9+mpyHn+c3NxcfD4fTqcTp9NJdHQ0TqcTi8VS0L5zZ3jpJYiNBa8XLrsM3O6SJztKSCj76mVZbRIS/giwfxlzarFYcHTujOOllwqC7ZEjBGw28mrVwnvhhWRnZ3P06FGsVitOp5Pw8HDCwsL+2BcRERERkXKmcCpyov40uZD3X/8i55VXyA4Px7J8OREWC7VmzcLhcJQe4I4TFkPmeAH2z/VERWHxeHB26oTzT+3z8vLIzc3F7XaTkZFBeHi4gqqIiIiIhESFh9OGDRuyYsWKit6syMlLToZly/CuXUuOy0X2qlVYcnOJCASIy8jA4fXCmjXw1FNl93UiV0QrUhn1OBwOHA4HLpeL/Px8srOzFVRFREREJCR05VTkOAKffkr2XXfhyc0lkJdHhMNREEjr1y+YsKjQ1VebV2QFsdlsuFyuYFDNycnB7XZz9OhRoqKiiIyM/OMRNiIiIiIiBimcSs2Vlwk7kyDzZ4huCo0HgCMagPz8fDweD1kpKTjtdmKsVsJ27YLsbIiPh5kz4V//gvffLwimTz9t8s5ULJvNRlRUFFFRUeTl5eHxeDhw4ADh4eFERUXhKJzcSURERETkBCmcSs10YD180hMCfsj3gC0KvhmDt/NqPJEXkJubS0REBHU6dsS+eDHk50O9enDNNTB48B+3w9awUFoSh8NBbGwsfr+frKws0tPTg+E1PDxct/yKiIiIyAlROJWaJy+zIJj6/rgtNy/PyzFfDPkf3kLUtV9Qq169gltUL7us4icxqqKsVisul4uoqChycnLweDxkZmYSExNDeHi42eWJiIiISCWncCo1z86kgiumgM9vIzM/Bq/ficuWSaQzB8vhdyD2tj/aV7ZJjCo5i8VCREQEERER5OTkkJmZidvtJiYmBqfTaXZ5IiIiIlJJKZxKzZP5M/m+bNy+WmT7w3HZPMQ6M7BYAuAHMreZXWG1UTibb3Z2NkeOHMHhcBAdHa0xqSIiIiJSjMKpVG9/mfQo0Kg/bts5eNz1iAzPop7zIFaL/4/2tiiIPte8eqshi8VCZGQkERERZGVlcfjwYcLDw4mJidHsviIiIiISpHAq1ddfJj3yWmI5unEatgufoW7EEWz23OLvsVih0YCKr7UGsFgsREVFERERgdvt5uDBg8TExBAREWF2aSIiIiJSCeiyhVRPf5r0KODL4lheDEdywnBxgLjNQ7B1Xw35Dsj9/5lkbVFgj4ZL14DDZW7t1ZzVaiUmJobatWuTmZlJeno6+fn5ZpclIiIiIibTlVOpntY9DtlZeG1OMvJq4bD6qFt4C28gCrJ2w8B02JVUMMY0+tyCK6YKphXG6XRSt25dMjMzOXjwILVq1dJVVBEREZEaTOFUqp/kZAKrXyTz4iiy8yKIsR8lwpbzx/p8T0EgdbigyW2l9yMhZ7FYgrf2ZmRkkJ2dTWxsrMaiioiIiNRA+g1Qqp38lBQOH6uDL9dOXefBosEUNOlRJeRwOKhTpw52u52DBw/i9XrNLklEREREKpjCqVQrubm5HLrgAsLTHMTZjxSdibeQJj2qlAqvotaqVYv09HQ8Ho/ZJYmIiIhIBVI4lWrD4/GQkZFBbLduuJ56Do7eDpbIgiuloEmPqojw8HDq1KlDVlYWGRkZBAIBs0sSERERkQqgMadS5QUCAY4dO4bX6yU+Ph673Q4JCQV/8v6pSY+qILvdTnx8PBkZGaSnp1O7dm2NQxURERGp5hROpeqaN4/Ae++R3qMHlptuIj4+vniA0aRHVZbVag0+bubQoUPEx8djs9nMLktEREREQkThVKqmefMIjBlDeu3aWFNTibVasdx7r9lVSTkrHIdqtVo5fPiwAqqIiIhINab75KRKCrz3Hum1a2Oz2Yg9cgTLmjVmlyQh5HK5iIqK4tChQ/h8PrPLEREREZEQ0JVTqXL8n35KenQ09vx8YtPTwWKBXr3MLktCLCqqYGKrw4cPk5YWz+ef2+nUqWBosYiIiIhUfQqnUnUkJ+Nftoz0zz7DYbVSy2KBdu1gyBAYNcrs6qQCREVFsXGjhYcfPkxGRjyLFtlZvFgBVURERKQ60G29UjUkJxO49VbSP/gAx/791MrLg+houP56BdMa5uuvI3G7oznzzMMEAvls2GB2RSIiIiJSHhROpWrYsIGjERFY4+KodewYHDgANht06mR2ZVLBOnUCny+S/fujqFUrnY4d9RxUERERkepAt/VKleBu3568lSupc/gw1KsH11wDgwfrfs4aKCEBFi+GDRtctGmTR6tWGUBts8sSERERkVOkcCqVXk5ODp6//506c+Zg+fxzNAuOJCQU/AkEYjl8+DCZmZlER0ebXZaIiIiInIITCqc//fQTGRkZxMfH06RJk1DXJBKU98wzZHzyCXGXXort3nvh0kvNLkkqEYvFQu3atTl06BB2u52IiAizSxKpVPx+P1OmTGHr1q04nU6mTZtG48aNg+uXLVvGm2++icVi4dZbb6Vnz54mVisiIjVdqeHU6/XywgsvsHbtWuLj46lTpw7Hjh3jwIEDXH311QwbNozw8PCKrFVqGP/o0Rx54w1iPB6c77xT8MgYTX4kf2Gz2YiLi+Pw4cPY7XYcDofZJYlUGuvWrcPr9ZKUlMSmTZtITExk4cKFAKSnp7N8+XLeeustcnNz6dWrF1dffTUWi8XkqkVEpKYqNZxOmjSJ3r17c/fdd2O1/jFvUiAQIDk5mUmTJjFr1qwKKVJqoORkjiUlEZabS2RWVkEwfe89hVMpkcPhICYmhoyMDOrUqaNfrkX+X2pqKl26dAGgdevW/PDDD8F1cXFxvP3229jtdn7//XfCwsL0b0dERExVajhNTEwscbnFYqFr16507do1ZEWJ5KakkBsTQ90DByDw/7Ox9uplblFSqUVGRpKdnY3b7db4U5H/53a7cblcwdc2mw2fz4fdXvDxb7fbWbp0KfPmzWPo0KGl9pOWlhaS+nJycgz1baR9KPuuTLVoP6tXLTVlPytTLdrP8mlfXsocc7p582bee+89cnNzg8umTJkSypqkhvP7/WRccAGxNhvW2rUhOxtGjNBVUylTbGwsBw8eJDw8XLf3igAulwuPxxN87ff7g8G00JAhQ+jfvz8jRozg888/5+KLLy7WT4sWLUJSX1pamqG+jbQPZd+VqRbtZ/WqpabsZ2WqRftZPu2NSE1NLXVdmc85HTduHOeddx6XXHJJ8I9IKB07doywTp0Ie/55ePBBWLsWnn7a7LKkCrDZbMHbewMBPf9UpG3btiQnJwOwadMmmjVrFlz3yy+/MHLkSAKBAA6HA6fTWWQYj4iISEUr88pp48aN6du3b0XUIjVdcnLB7bwXXEDdHj3+eF6IiAG6vVfkD927dyclJYWBAwcSCASYMWMGL7/8Mo0aNaJbt240b96cAQMGYLFY6NKlCxdddJHZJYuISA1WZji96qqruP/++4s8QmbkyJEhLUpqoORkArfeytHoaGJfew2ry6VgKiet8PbeiIiIYrcwitQkVquVqVOnFln2189zfaaLiEhlUeb9O8uWLaNFixbUqVMn+Eek3G3YQJbdji0mhrCcHNiwweyKpAqz2WxERUXhdrvNLkVERERETlCZlxRiY2O5/fbbK6IWqcECHTviXrWK2nv2gM0GnTqZXZJUcVFRURw4cKDIzKQiIiIiUnmV+Rtb7dq1mTRpEi1btgw+/2zAgAEhL0xqlqz27XFMn47z228Lgqlu6ZVTZLVaiYqKIjMzk9q1a5tdjoiIiIiU4YQmRAI4dOhQyIuRmikQCOB2u4m7/HK46iqzy5FqpPDqaV5enh4tIyIiIlLJlTnmtHfv3px11lmMHDmSnJwcrrvuugooS2oSj8eD0+lUeJByZ7VacblcZGZmml2KiIiIiJThhJ5z2rBhQwC6du3KxIkTQ16U1ByBQACPx4PL5TK7FKmmoqKi+PxzLzNn+vj/xz2KiIiISCV0Qk/bbt26NQAXXnghfr8/lPVIDZObm4vNZtNVUwmZzz6z8PDDkbz0UhbXXw/z5pldkYiIiIiUpMxwGhMTQ1JSElu3bmXlypVERUVVRF1SEyQnkzV3LpGbNpldiVRjGzZAenoEubnZHD0aYMoUdAVVqrSpU6eSlpZmdhkiIiLlrsxwmpiYyLZt25g9ezbbt29nxowZFVGXVHfJyfhvuw3vqlWE33WX0oKETKdOkJ3tIC/PSmSkF6dTj9GVqu3SSy/lueeeY+DAgbz++ut6nq+IiFQbpYbTLVu2ABAXF8fEiRNZtGgRDz/8MHFxcUXWi5yUDRvIstsJj4zE6vMpLUjIJCTAlClgt0fSoEEWUVF6jK5UbQkJCTz99NMsWLCA1NRUunTpwsMPP8yuXbvMLk1EROSUlPoomZSUFBYvXkyPHj0477zziI+PJzMzk++++441a9bQvHlzzj///IqsVaqTTp3IXrmSmH37wGZTWpCQGjUKWrWKICUlk86d/SQkWNFdkVJVbd++nTfffJOPP/6YDh06sGzZMnw+H/fddx9vvvmm2eWJiIictFLD6e23386+fftYvnw5L730EkeOHKFOnTpcdNFFjBs3jtNPP70i65RqxtepE/7HHyds8+aCYJqQYHZJUs117WqlVaswwsJygEizyxE5aY888gj9+vVj5MiRREREBJf/4x//MLEqERGRU1dqOAVo0KAB999/f0XVIjVIbm4uYZ06Qc+eZpciNUhYWBher5fISIVTqbq6dOlC3759g6/nzJnD2LFjGTx4sIlViYiInLrjhlORUPF6vYSFhZldhtQwTqeTzMxMs8sQOSkrV65k1apVbN++neT/n0QuPz8fn8/H2LFjTa5ORETk1CmcSoWLXbqU3LQ0Yi69FO691+xypAax2wv+y/P5fCZXImJcnz596NixI88//zx33nknAFarlfj4eJMrExERKR8nFE7T09PJyckJvtZ4Uzlp8+YR/89/khEbi231arBYCmarEakgTqcTr9drdhkihm3dupW///3vXHnllezYsSO4fPv27VxyySUmViYiIlI+ygynjz76KBs3bqROnToEAgEsFgtvvPFGRdQm1dGSJXjtdpxeL+Tnw5IlCqdSoVJTnXz1lZeGDSNo0cLsakRO3MaNG/n73//OmjVriq1TOBURkeqgzHC6detWPvjgAywWS0XUI9VdgwZ4t20jvPBKfIMG5tYjNUpyMtx9dxhRUW4OHz6dxo01UbRUHcOGDcPr9fLYY4+ZXYqIiEhIlBlO69Wrh8fjweVyVUQ9Ut11747viy+wu91gtUL37mZXJDXIhg2Ql2cjLs7PwYMBNmxQOJWqo0ePHsVOFBfe0fThhx+aVJWIiEj5KTWcDhgwAIvFwuHDh7nyyis588wzAXRbr5wajwdv7drYnU7w+cDjMbsiqUE6dYJFiyykp1ux2/Pp1MnsikRO3EcffWR2CSIiIiFVajh98sknAcjLy8PhcASXHz16NPRVSbXl79gRf1IS1txcCAtD6UAqUkICLF4Mb7xhJz39GKDnnUrVMXXqVCZNmhQ8efxnOmksIiLVQanh1Ol04na7GTduHLNmzSIQCOD3+5k0aRKrVq2qyBqlGsnv1InDI0fS6ODBgmCqeyrFBCkpNtxuG7feWhBW9WMoVcHdd98N/HHyWEREpLopNZx+9913vPrqq+zYsYNHH30UKHiemmYElFORn59P3t//DhddZHYpUkMVjjutXTubw4fRuFOpMurUqQOA3+9n1qxZ/PrrrzRt2pQHH3zQ5MpERETKR6nh9IorruCKK67g008/pWvXrhVZk1Rj+fn5WK1Ws8uQGqxTJ3jtNRtuN9hsurNcqp4JEyYwfPhw2rZty1dffcWECRN4+eWXzS5LRETklJUaTsePHx/8eu3atUXWzZw5M3QVSbXm9/sVTsVUCQkwf76VNWuOcO219XTVVKocm80WPGl8+eWX8+qrr5pckYiISPkoNZz27NkTgOXLl9OmTRvatm3L999/z/fff3/SG/P7/UyZMoWtW7fidDqZNm0ajRs3Pun+pOoJjBjB2Z99Bh07gsYui0n+/W8LH38cTV6ebumVqmP9+vUARERE8OKLL3LhhReyefPm4O2+IiIiVV2p4bRLly4AvPzyy4wYMQKAdu3accstt5z0xtatW4fX6yUpKYlNmzaRmJjIwoULT7o/qWJuuAE++AC73w//+lfBawVUqWCjR8Nzz0F0tINnnilY9vTT5tYkciLee+89AGJjY/nll1/45ZdfgIIJDEVERKqDUsNpoaysLDZu3Mjf//53vv32W3Jzc096Y6mpqcHQ27p1a3744YdibdLS0k66/4qQk5NT6WusrM798EMCgCUQIAD4PvyQbTqWJ0U/hyfv3/8+G7BQ8CSOAP/+dy533rnD5KqqJv0cVqzShtQcOHCggisREREJjTLD6fTp05k9ezY7duygadOmPPHEEye9MbfbjcvlCr622Wz4fD7s9j/KaNGixUn3XxHS0tIqfY2VVrduWP77X7BYsACObt10LE+Sfg5PXp8+8NxzuQQCFsBCnz7hOpYnqSr8HKampppdQrl7+umnWb58OXl5eeTk5HDWWWcFr6qKiIhUZaWG08LQeOaZZ/JM4b1vp8jlcuHxeIKv/X5/kWAq1dyqVVgGDsT32Wdw1VW6pVdMUXgL78cfexk8WLf0StXz0UcfkZyczIwZM7jlllt47LHHzC5JRESkXJSaDMeNG8ecOXPo0aMHloL73wgEAlgsFj788MOT2ljbtm35+OOP6dmzJ5s2baJZs2YnV7VUXS++yC8//US7du3MrkRqsCeeCLB5829cdNHpZpciYljdunVxOp14PB4aN25MXl6e2SWJiIiUi1LD6Zw5c4J/t2nTplw21r17d1JSUhg4cCCBQIAZM2aUS79SddhsNgKBgNllSA2n5+1KVdagQQNWrVpFREQEc+bM4dixY2aXJCIiUi7KvKf2zTff5PHHH6dNmzZceeWVXHjhhSf9S53VamXq1Kkn9V6pHmw2G/n5+WaXITVcSko+//lPPFlZepSMVD1Tp05l37599OjRg7feeit4MllERKSqKzOcPv744wB8/fXXzJ49m127drFx48aQFybVk23jRmq/9BIsXgyDBysZSIVLToZ7780nPb0Ob7wBy5frx1CqlqNHj/Laa6/x66+/0rRpU+rXr292SSIiIuWizHD6yiuv8Pnnn5Oenk7btm0ZNWpURdQl1VFyMrbBg3FZLAT278fy7rtKBlLhli2DjIx8PJ4IvN6C1/oRlKpk3LhxXHrppVx33XV8/fXXjBs3jgULFphdloiIyCkrM5yuX7+eY8eOceWVV3LJJZfQvHnziqhLqqMNG7BkZWGJjMRvt2PLzoYNG5QMpMLZbD7y821mlyFyUnJzcxk0aBAAzZs35z//+Y/JFYmIiJSPMsPpokWLyM3N5fPPP2f69Ons2LGD9evXV0RtUt106gSRkdh9PnxWK7aIiIJlIhVo0KAAGzcGyMy0EB1dcHe5SFWwY8cOAGrXrs37779P+/bt2bx5Mw0bNjS5MhERkfJRZjj973//S3JyMlu2bOFvf/sbI0aMqIi6pDpKSIDly8l6/nkiYmIIu/FGXTWVCtexYx5PPGHngw8Oc9119fUjKFXGpEmTgl+//vrrLF++PPiINxERkeqgzHCamprKddddx+OPP64PQDl1CQkE/vMfvFu2wHffKZxKhcvNzaVz5zDOOut3WrTQRDJSdSxZsiT49ZEjR9i9ezcNGzYkLi7OxKpERETKT5nhdPz48RVRh9QU8+bRcPZsDtWtS+C997AAaJItqUApKV6+/TaKhg0jaNHC7GpEjHv//fd56qmnaNKkCT///DMjR46kT58+ZpclIiJyysoMpyLl6r33sPr9WC0WfBYLjqVLFU6lwjzzTIAFC7wcO1Ybu/10GjfWxXupel555RXefPNNoqKicLvd3HzzzQqnIiJSLVjNLkBqmF69sAQChLnd5Dqd8L//FTx4UiTEkpNhxow8MjLspKdbyc62sGGD2VWJGGexWIiKigLA5XIRFhZmckUiIiLlo9QrpwMGDCg2xrRw4oU33ngj5IVJNTVqFFmLF+P83//IdrkgI0MPmpQKsWEDREZ6ycwMw+eDvDyLJouWKunMM88kMTGR9u3b8/XXX9OoUSOzSxIRESkXpYbTJ598siLrkBokt2lTYrds4WhYGIH8fCx795pdktQAUVFgteZgt7uoVQvuvPMgCQmnmV2WiGHTp09n5cqVbNiwgSZNmjB27FizSxIRESkXpYbTM844A4CdO3eydu1a8vLyADhw4ABTp06tmOqkWjrWuzdxH32EMyeH7KgoIlNTC+651NVTCZHkZJg924fNlo/HE8b06XDFFRmAwqlUPXfeeSeLFy82uwwREZFyV+aY08Izst988w2//fYbGRkZoa5Jqrns9u3hH/8gwuEgu3lzcDrR4D8JpWXLIDMzi4yMCLKyLPzwg9kViZy8mJgY1q1bx/bt29mxYwc7duwwuyQREZFyUeZsvZGRkdxxxx38+uuvzJw5k0GDBlVEXVLdDR5M+IcfcjQ/H5/DgV2D/ySE9u4NEBaWzeHD8eTng+4kl6rK7Xaze/duXn311eAyi8XCa6+9ZmJVIiIi5aPMcGqxWDh48CAej4esrCyysrIqoi6p7hISsCxeTERKCtnt2xOtW3olhE4/PZdAwEYgYMdmg9N0N69UQUuXLmXx4sXYbDZGjx5Ngv7fFBGRaqbMcDpy5Eg++OAD+vTpwxVXXKFnqUn5SUggsmNH0tPTiTa7Fqm2kpPBas3G4YggOhoiI2HwYLOrEjHu3XffZe3atbjdbh566CGFUxERqXbKDKcXXnghTZo0Yffu3axZs4bY2NgKKEtqCofDgdVqJScnh/DwcLPLkWomORkGD84nIiIXr7cW/fsXBNOEBEhLM7s6EWOcTidOp5O4uLjgJIUiIiLVSZnhdNmyZbz66qs0bdqUbdu2cffdd+vqqZSr6OhoMjMzFU6l3C1bBtnZmWRlRXLsWMH8b7rYJNVBIBAwuwQREZFyV2Y4XblyJe+88w5hYWFkZ2czZMgQhVMpV+Hh4bjdbrKzs4mIiDC7HKlG9u3z4XTmcOhQPbNLETll27ZtY+zYsQQCgeDXhebMmWNiZSIiIuWjzHAaHx+PzWYDCkKEbuuVUIiOjubo0aOEh4djsVjMLkeqgeRk2Lo1k6ysKHw+K3FxGmsqVdtTTz0V/HrgwIHmFSIiIhIiZYbTQCDAddddR5s2bfjxxx/x+XzBs7U6UyvlJSwsDKvVSnZ2NpGRkWaXI9VASkoekZG5nHZaLaxW+Mc/dEuvVG0XXXSR2SWIiIiEVJnh9M477wx+3bt375AWIzVbTEwMGRkZRERE6OqpnLK2bd0sW+YiJ0dXTUVERESqgjLDacuWLXnxxRc5cOAAl112Geeddx6NGzeuiNqkhnE6ndjtdjweDy6Xy+xypAr76KNcUlO93H57LFlZ0KmTrpqKiIiIVHbWshpMmDCBM888k507d1KnTh0mTpxYEXVJDVWrVi3cbrcekyDG5GXCtkXw7Tj+t+ZFJk/8nVdeieWZZywKpiIiIiJVRJnhNCMjgxtuuAG73U7btm3x+/0VUZfUUDabLXh7rx6VICfkwHp46wxIvQ/SZhG/fxJJt3ShS/OvyM+HDRvMLlDEPH6/n0mTJjFgwACGDh3Kzp07i6x/5ZVX6NevH/369WP+/PkmVSkiIlKgzHAKsH37dgD27dsXnLlXJFQiIyOxWq14PB6zS5HKLi8TPukJvkzI95Drd+LHT4OovTx9XU+iI9x06mR2kSLmWbduHV6vl6SkJMaOHUtiYmJw3e7du1m9ejVvvPEGK1asYP369fzvf/8zsVoREanpygynjzzyCBMmTODHH3/k3nvv5eGHH66IuqSGi42Nxe124/P5zC5FKrOdSRAouJvDH7CQkRdLLftRrJYATqefVXOSdEuv1Gipqal06dIFgNatW/PDDz8E1zVo0IBFixZhs9mwWCz4fD7CwsLMKlVERKTsCZGaNWtGUlISR48exWazaaIaqRA2m43o6GiOHDlCnTp1NHuvlCzzZ8gvuMJ+zBdDmNVLuC0XAKfVQ7PTtplZnYjp3G53kc9tm82Gz+fDbrfjcDiIi4sjEAgwa9YsWrZsydlnn11iP2lpaSGpLycnx1DfRtqHsu/KVIv2s3rVUlP2szLVov0sn/blpdRwumXLFiZOnMjKlSv55JNPmDRpEjExMYwbN47LL7+8ImuUGioqKorc3FyOHj1KbGys2eVIZRTdFG8girz8AF6/kzrOQ3+ss0VB9Lnm1SZSCbhcriJDJPx+P3b7Hx/9ubm5TJgwgaioKCZPnlxqPy1atAhJfWlpaYb6NtI+lH1Xplq0n9Wrlpqyn5WpFu1n+bQ3IjU1tdR1pd7WO2vWLBITE3E4HMydO5cXX3yRf/3rX7zwwgshKVKkJLVr1yYvLw+32212KVIZNR5AljcMd340cY50rJY/TaJlsUKjAebVJlIJtG3bluTkZAA2bdpEs2bNgusCgQB333035513HlOnTtWcEiIiYrpSr5z6/X6aN2/O/v37yc7O5m9/+xsAVusJzaEkUi4sFgtxcXEcOnQIu91OeHi42SVJJeKzRPCueyk9woeQEwjHFe7BG4jC6bDCpWvAoWEIUrN1796dlJQUBg4cSCAQYMaMGbz88ss0atQIv9/Pl19+idfr5bPPPgNgzJgxtGnTxuSqRUSkpio1nBbe9vPZZ5/RsWNHAPLy8jSDqlQ4m81G7dq1SU9PJz4+HofDYXZJUgn4/X7S09O5/tYElizeSfbWJLq03kb7y84tuGKqYCqC1Wpl6tSpRZY1adIk+PX3339f0SWJiIiUqtRw2rFjRwYOHMi+fftYuHAhu3btYurUqfTs2bMi6xMBwOl0EhMTE5wgSVfwa7ZAIMCRI0cICwsjKiqKO0cB3GZ2WSIiIiJyCkoNp7fffjvdunXD5XJRv359du3axYABA+jevXtF1icSFBkZSX5+PocPHyY+Pl4BtYYKBAJkZGRgsViIiYkxuxwRERERKSfHfZTMn2/9adSoEY0aNQp5QSLHEx0dDcDhw4eJi4vTBB41TOEVUyiYLEuPGBIRERGpPnTpSaqc6OhowsPDOXz4MPn5+WaXIxVEwVRERESkelM4lSopOjqayMhIBdQaojCYWiwWBVMRERGRakrhVKosl8ulgFoDBAIB0tPTsVgsxMbGKpiKiIiIVFPHHXMqUtm5XC4sFguHDh2idu3aOJ1Os0uScpKcDCkp+bRunU7Hjg5q1aqlYCoiIiJSjSmcSpUXFRWFzWYjPT2dmJgYIiMjyczNJGlLEj8f/pmm8U0ZcP4AosOizS5VTtANN8CaNV4aNDhCZGQUCxa4SEgwuyoRERERCSWFU6kWwsPDiY+P58iRI2z4dQN93+6LHz+ePA9RjijG/GcMawav4ZJGl5hdqpRh9Gh4//0sYmKOsWdPLE5nOBs2oHAqIiIiUs1pzKlUGw6Hg7DoMG59+1aceU6y87IB8OR5yPRm0nNZT9xet8lVyvEEAgGSkzOIinJz+HAdcnPDyc6GTp3MrkxEREREQk3hVKqVlWkrSSedXHKpS13CCAuu8wf8JP2QZGJ1UprkZJg5M4+1aw9x6aUBDh2qi89XcGNHnz66aioiIiJSE+i2XqlWfj78M548DwBevMQSixcvxziGJ8/DtvRtJlcof/XppwFGjnTjcHhYujSGhQsj8fvh/ffh6qvh6afNrlBEREREKoLCqVQrTeObEuWIwpPnwYuXgxwkmmjqUpc8ex7nxp1rdony/wpm483jt98ysFhs2Gx1ycqysWFDQSBVKBURERGpWRROpVoZcP4AxvxnTPB1gADHOEYOOZzO6Vx1xlX4/X6sVt3RbqaCq6WZOBxZZGTEkJsbidMJNpvGl4qIiIjUVAqnUq1Eh0WzZvAaei7riT/wx2y9VouV1wa9RkxEDAcPHiQ6OpqIiAg9NzNU8jJhZxJk/gzRTaHxAHAUPMonJyeHlJRjWCx2bLa6BAI2rrkGzj67IJhqfKmIiIhIzaRwKtXOJY0uYc/YPST9kMS29G2cG3cuA/42AJfTBUBERATHjh3D7XYHQ6qUowPr4ZOeEPBDvgdsUfDNGLyd3yEz/G/k5+fToUMMixeHk5lZcLV08GCFUhEREZGaTuFUqiWX08VtbW8rcZ3D4SA+Pp7c3FyOHTuGx+MhOjqaL74IY8MGXb07JXmZBcHUlxlc5MvL5ZgvmrwPbyG6z+dExNWlWzcLixej4y0iIiIiQQqnUmOFhYVRt25dsrOz+fDDo0ycaCMzM4ZFixwsXqzAdFJ2JuHN8+O0QH7ASqYvmhx/OC6bhyjrAcIOvQO1Ck4aJCToGIuIiIjIHxROpcaLiIjgu+/Cyc7O4swz00lPt5OSEkUgEMbGjRZd2TMg9ZOf+Xu4lyO+WHL94UTaPNRzHsBqCRQ0yNSjfERERESkZJqyVATo3NmCzxfFr7/WIy8vkogIN2PHHuCFF9z07etn3jyzK6yckpPhjjvgjjsCfPhhNp98fxZ73KfjsORRz7mfGHtmMJh6A1EQrUf5iIiIiEjJdOVUhIIrowVjIC106hTBhg0R7N/vxev1EBZ2gH/+M4JAIJItWxyAJvBJToZly+Ctt/LJy8siMjKL5GQ7vXv0o7Z9HC67p9h7nA4rNBpgQrUiIiIiUhUonIr8v7+OgZw928nRo06cznzi47N4+ul0srKs5OSE8/77ESxdaq+RAfWTT/K5554csrJysNnyyM+P4MiReLKz7cTVhw/y1tAzryd2ux+n5f9n67VY4dI14HCZXb6IiIiIVFIKpyIlSEiAKVMK/jidNrKyosnIiCYQ8BIenk1Y2GHWr7fSpk04ERER2O0F/5SSk6vPDLR/3pfOnfPJyckhOzubDRt8WK1hREVFsXt3GIGABasVatcu3O9LIG8P7EoqGGMafW7BFVMFUxERERE5DoVTkVKMGgUXXFAQ0KKiIDERDhxwkpvrJCysFhdf7MXvz+bw4cNYrVa+/TaM0aML1i9aZK3SM/5++mmAO+7wYrV6WbEil8cf99GpUxgul4vOncNYvNhCfj7Urw/t2sFpp/3lVmeHC5qU/CgfEREREZGSKJyKHMefb/W94IKCcZZQGMScgJNatWrh9XpJTc3F4fBw2mkZpKfbSElxcuGFTsLCwrBaK+fcY4VXRzt2DHDxxV5yc3Pxer2kpOQRHu7A5XJy4ICLzZvD6NXLAkDXrugZpSIiIiJS7io8nH7wwQesXbuWOXPmVPSmRU7J8Z7L6XQ66dzZyUsvwY4dAcLC8mjf3kt2djZHjx7FarVit9uDfxwOB3a7HYvFUiG1/zmEdurkw+fzsX69jwcf9AE+/vUvH48/7qBz5zCio6Pp3NnJ4sUWjh4Fmw06dy7an55RKiIiIiLlrULD6bRp01i/fj0tWrSoyM2KVIiiM/46///KKgQCAXw+X/BPbm4uHo8Hn89XJLRardZS/5QUYpOTYfx4+PlnaNo0wPTpfjp39uP3F/2zcaOfhx7Kx2Lx8eab+Tz2mI0OHex8/bWdnJwwatWK4sABB5s2WejRo6BvXR0VERERkYpWoeG0bdu2XHHFFSQlJVXkZkUqTElXFC0WCw6HA4fDUWR5IBAgPz8fn89Hfn4+fr8fn89XLFz6/f4ifQGkpGSTmLgPjyeA3Q47dsDw4RbmzbNy4YV/hFqbzUZqqp3sbCe1atk5eNDOd99ZuPrqgquhL70EBw4UXB3t1KnsfRERERERCZWQhNOVK1fy6quvFlk2Y8YMevbsyRdffHHc96alpYWipHKTk5NT6Wus7HQMjQsEAkX+3ry5Lr/+Wge/3/r/yy3YbAE++OAgZ511sMh7GzaMIDv7dDyeAFZrHmecsYe0tGzq1oXJkyP49tsI2rTJpm7dbGrSt0U/h6dOx1BERETKU0jCab9+/ejXr99Jvbey3/KblpZW6Wus7HQMT92FF/5KVJSdY8f+WOZyWbjuuvq0aFG/SNsWLaBx4z/fontWkXVDh1ZQ0ZWMfg5PXVU4hqmpqWaXICIiIidIs/WKVEHt22fzzjt/HnMKM2eWfhuubtEVERERkcpO4VSkikpIgJQUs6sQERERESkfFR5OO3ToQIcOHSp6syIiIiIiIlKJWc0uQEREREREREThVEREREREREyncCoiIiIiIiKmUzgVERERERER0ymcioiIiIiIiOkUTkVERERERMR0CqciIiIiIiJiOoVTERERERERMZ3CqYiIiIiIiJhO4VRERERERERMp3AqIiIiIiIiplM4FREREREREdMpnIqIiIiIiIjpFE5FRERERETEdAqnIiIiIiIiYjqFUxERERERETGdwqmIiIiIiIiYTuFURERERERETKdwKiIiIiIiIqZTOBURERERERHTKZyKiIiIiIiI6RRORURERERExHQKpyIiIiIiImI6hVMRERERERExncKpiIiIiIiImE7hVEREpJry+/1MmjSJAQMGMHToUHbu3FmsTXp6OldddRW5ubkmVGgOi6X4n5YtWxRbJiIiFUvhVEREpJpat24dXq+XpKQkxo4dS2JiYpH1n332GbfeeisHDx40qUIREZE/WAKBQMDsIgqlpqbSrl07s8s4rrS0NFq0aGF2GVWajuGp0zE8dTqGp64qHMOq8LkSSjNnzqRVq1b06tULgC5duvDZZ58F16ekpNCyZUv+8Y9/8P777xMWFlasj9TUVCIjI0NSX05ODuHh4SFpf7y2LVue2M/tjz+mhbyWytx3ZapF+6laqmLflamWUO+nEVlZWaV+NttDskURERExndvtxuVyBV/bbDZ8Ph92e8HHf+fOnU+on1CdhDB6gsNI+/I4eXK894eylsrSd2WqRfupWqpi35WpllDvpxGpqamlrtNtvSIiItWUy+XC4/EEX/v9/mAwFRERqWz0CSUiIlJNtW3blo8//piePXuyadMmmjVrZnZJIqbbt29fsWWHDh0qsrxBgwYVWZKI/D+FUxERkWqqe/fupKSkMHDgQAKBADNmzODll1+mUaNGdOvWzezyREREilA4FRERqaasVitTp04tsqxJkybF2n300UcVVZKIiEipFE5FRERERERqqBO51R0q5nZ3TYgkIiIiIiIiplM4FREREREREdMpnIqIiIiIiIjpFE5FRERERETEdAqnIiIiIiIiYjqFUxERERERETGdHiUjIiIiIiIhcyKPKqmIx5RI5acrpyIiIiIiImI6hVMRERERERExncKpiIiIiIiImE7hVEREREREREyncCoiIiIiIiKmUzgVERERERER0ymcioiIiIiIiOkUTkVERERERMR0CqciIiIiIiJiOoVTERERERERMZ3CqYiIiIiIiJjObnYBIiIiIiLVgsVSbFGLktoFAiEvxah9+/YVeX3o0KFiyxo0aFCRJUkNpHAqIiIiIiI1QvHzB8VPH1TCcwfFThRA8RMI1eHkgcKpiIiISHWkq3giUsUonIqIiEilU0Kuoqpe4VCwEhE5MZoQSURERERERExXYVdOMzMzefDBB3G73eTl5fHwww/Tpk2bitq8iIiIiIiIVGIVFk5ffvllLr74YoYNG8Yvv/zC2LFjeeuttypq8yIiIiIiIlKJVVg4HTZsGE6nE4D8/HzCwsIqatMiIiIiIiJSyYUknK5cuZJXX321yLIZM2bQqlUrDh48yIMPPsiECRNKfG9aWlooSio3OTk5lb7Gyk7H8NTpGJ46HcNTp2MoIiIi5Skk4bRfv37069ev2PKtW7cyZswYHnroIS666KIS39uiRYmTnFcaaWlplb7Gyk7H8NTpGJ46HcNTVxWOYWpqqtkliIiIyAmqsNt6t23bxujRo3nqqado3rx5RW1WRERERKTqq8LPrRU5URUWTufMmYPX62X69OkAuFwuFi5cWFGbFxERERERkUqswsKpgqiIiIiIiIiUxmp2ASIiIiIiIiIKpyIiIiIiImK6CrutV0REREREpLoqYc4q/jptlearOj5dORURERERERHT6cqpiIiIiBj3l8tEeqyJiJwqXTkVERERERER0ymcioiIiIiIiOl0W6+IiIhIFbFv374irw8dOlRsWYMGDSqyJBGRcqMrpyIiIiIiImI6hVMRERERERExncKpiIiIiIiImE7hVEREREREREyncCoiIiIiIiKmUzgVERERERER0ymcioiIiIiIiOkUTkVERERERMR0CqciIiIiIiJiOoVTERERERERMZ3CqYiIiIiIiJhO4VRERERERERMp3AqIiIiIiIiplM4FREREREREdMpnIqIiIiIiIjpFE5FRERERETEdAqnIiIiIiIiYjqFUxERkWrK7/czadIkBgwYwNChQ9m5c2eR9StWrKBv377079+fjz/+2KQqRURECtjNLkBERERCY926dXi9XpKSkti0aROJiYksXLgQgIMHD7JkyRL+9a9/kZuby6BBg+jcuTNOp9PkqkVEpKayBAKBgNlFFEpNTTW7BBERqWbatWtndgmmmTlzJq1ataJXr14AdOnShc8++wyADz/8kE8//ZSpU6cCcM8993DHHXfQqlWrIn3os1lERMpbaZ/NlerKaU3+BUJERKS8ud1uXC5X8LXNZsPn82G323G73URHRwfXRUVF4Xa7i/Whz2YREakoGnMqIiJSTblcLjweT/C13+/HbreXuM7j8RQJqyIiIhVN4VRERKSaatu2LcnJyQBs2rSJZs2aBde1atWK1NRUcnNzyczMZPv27UXWi4iIVLRKNeZUREREyo/f72fKlCn89NNPBAIBZsyYQXJyMo0aNaJbt26sWLGCpKQkAoEAd9xxB1dddZXZJYuISA2mcGpQZmYmDz74IG63m7y8PB5++GHatGljdllV0gcffMDatWuZM2eO2aVUGYW/aG7duhWn08m0adNo3Lix2WVVSd999x3//Oc/WbJkidmlVDl5eXlMmDCB33//Ha/Xy1133UW3bt3MLktERESquEo1IVJV8PLLL3PxxRczbNgwfvnlF8aOHctbb71ldllVzrRp01i/fj0tWrQwu5Qq5XiPhZAT9+KLL7J69WoiIiLMLqVKWr16NbGxscyePZuMjAyuu+46hVMxxO/3Y7WW/8iiI0eOBCd6io2NrXL9h0pVrVtEah6FU4OGDRsWfAZcfn4+YWFhJldUNbVt25YrrriCpKQks0upUlJTU+nSpQsArVu35ocffjC5oqqpUaNGzJs3j4ceesjsUqqkHj16BG//DAQC2Gw2kyuSqmD37t3MnDmTH374Abvdjt/vp1mzZowfP56zzz77lPrevHkzU6dOxe/3ExkZicfjIRAIMGnSJNq2bXvKtYe6///9739s2LCBzMxMYmJiaNeuXbFH+lTGuvPy8ti6dWuw7qZNm5bbc3JDdUygIKwvWLCAjRs3BkN7+/btGTlyJPHx8eWyjcLt6KSAiDEKp8excuVKXn311SLLZsyYQatWrTh48CAPPvggEyZMMKm6qqG0Y9izZ0+++OILk6qquo73WAg5cVdddRW//fab2WVUWVFRUUDBz+O9997LfffdZ25BUiVMnDiRsWPHcsEFFwSXbdq0ifHjx/PGG28Uaz906FDy8vKKLAsEAlgslmLtZ86cybx58zjttNOCy/bs2cPo0aNZuXJlsb537NhRap0lBWWj/Rsxf/58Nm/ezCWXXELDhg3xeDzMnz+fli1bFvu39eSTT5baz5gxYyq07k8++YQ5c+Zw1llnBYPvL7/8wpgxY7jiiiuKtV+/fn2pfV1yySVFXhs5Jkb7Bnj44Yfp06cPo0ePJioqCo/Hw6effsrYsWN55ZVXSt/pE1SVTwqEsu9169axcePGIiccevTogcViOeW+Q3kyA0JXe6hPlITy+xkq+o32OPr160e/fv2KLd+6dStjxozhoYce4qKLLjKhsqqjtGMoJ+d4j4UQqUh79+7lnnvuYdCgQfTu3dvscqQK8Hq9RYIpFNwBUpoHHniARx55hGeffbbMq/M+n69IAAM47bTTSv3FccKECezevZtzzjmHP0+9YbFYeO21106p/969e3PkyJESt1tSiNqwYQOvv/56kWVDhw6lf//+xYJYXFwcy5cv56677uJEpgwxelyM1P7cc8+xfPnyIidMMzMzGTZsWInhdMWKFfzwww906NCh2Lq/Bkgjx8Ro31BwYq1nz57B1y6Xi169erFs2bJibY1+P6HynBQwGtqNnnDwer2l9v/XAPTYY4/h9/tJSEgInhBITk5m/fr1TJ8+vdj7x44dW2rff52rJNQnM4zUbqRuMHaixGjfoTyBFEr6rdagbdu2MXr0aJ566imaN29udjlSw7Rt25aPP/6Ynj17FnsshEhFOXToELfeeiuTJk2iY8eOZpcjVcR5553H+PHj6dKlC9HR0cFfws4777wS219wwQX06dOHrVu30r179+P23bVrV4YNG0bnzp2Dfa9fv56EhIQS2y9evJghQ4Ywe/Zs6tevX2btf+3f7XaTkpJSYv/z589nzJgxLFu2jPDw8DL79vl8/PbbbzRs2DC47LfffitxTO6wYcP44YcfqFevHp06dSrXuo3WnpeXV6xNWFhYqcF37ty5DBkyhBEjRnDOOecct28jx8Ro3wDx8fHMnz+fhISE4EnfTz/9lLp16xZra/T7WVh/qE5mGDkpYDS0Gz3h0Lt3bw4fPkytWrWCdzUU/v3hhx8Wafvzzz+zdOnSIsu6devGwIEDS9z3Hj16MHfuXKZMmVLi+j8L9ckMI7UbqRuMnSgx2ncoTyCFksKpQXPmzMHr9QbPlLhcLk1IIxWme/fupKSkMHDgwOBjIUQq2nPPPcexY8dYsGABCxYsAAommTrRX9ykZpoyZQrr1q0jNTUVj8eDy+XisssuO27wHD58+An1PXLkSH788UdSU1M5cuQILpeLBx54gPPPP7/E9hERETz22GPs2bPnhMLpn/vPyMg4bv+NGzfmpptu4osvvqBr165l9j1x4kRGjhxJXl4eLpcLt9uN0+nkscceK7H99OnTyc3NLbNfo3UbrX3AgAFcf/31tGvXLhh8U1NTGTp0aIntbTYbs2bNIisrq8y6J0yYUOIxKe2X8sK+/3xn0fHMnj2b5cuX8+KLLwaHy7Rt25YnnniiWFuj308I7ckMIycFjIZ2oyccli9fzm233cYrr7xCrVq1jtu33+/n66+/pn379sFlX331FQ6Ho8T23bt358svv+Tw4cNcffXVx+071CczjNRupG4wdqLEaN+hPIEUSnqUjIiIiFSI//3vf6SkpJCZmUmtWrXKHBcW6nFkRqxbty5YS2Ht5TVeDgquoHg8HqKioopc6ThVoaz70KFDbN68ORjwWrVqRZ06dcqh6gKFx8TlcgXHupclVDNBG1V4UqCw/jZt2pR6UuDf//43sbGxJxR+V6xYwZIlS0o8KVDSMKrdu3eTlZVV6h0Kp9I3FFzdtdlsZd5Fs2vXLmbOnMmWLVsAsFqttGjRgnHjxnHWWWeVWdvxbNq0iSlTppR4MuOvQwkK7d69G4/Hc0J3QYay9tzcXJYvX17sZ+XGG2885RO+J/P9NPLzEioKpyIiIhJyfx4XVji2av369aWOCzPS3uhYqfIac+bz+UocLxeqyVOMjjkzWncoaz/e7PwDBgwo8rpwZuctW7Zgs9nKnNnZaHsjYyWNtP2zqnpSoLDvwqD097//vVxPOIRSVT2ZkZ6ezpdffhn8WWndujX16tUrte1XX30V/Pd5vLYQ+hNIoaBwKiIiIiE3aNCgYuPCAoEA/fv3L3GSGCPt77333lLHSs2cObPYMqPthwwZUmzMGcDAgQOLzRxsNBAaCZwffPBBqWPOSpqg0UjdRms3Ejah4Lh+/PHHXHvttcXWjRw5ssjrm266qcSZnRMTE0us22j7q6666oTHShppW6iynMww+j3Kzc3ljTfeKHK3Qvv27RkyZEiJV/EKr/p9/vnnZGZmBmeaLa29EUZm6w71yYxQ1Q0FT7VISkqiffv2wUmLvv76a2644QZuvPHGEtu2a9cu+HP11Vdf0a9fv2JtT4bRn5dQ0ZhTERERCTmj48KMtDc6ViqUY85COfGL0TFnRsf5Gan9l19+KTVslmT8+PH88ssvJCQklHlrttGZnY22NzJW0kjbQkaOo9FZbI0EiJP5HjVv3pz777+/SC1jx47l2WefLbX9fffdV2Z7o6HNyGzdRh9TFcrHWhmpG+Bf//oXy5cvL/Jv0uv1cuONNxYLnEbagvGwafTnJVQUTkVERCTkjE5yY6S90QlxjLZPTExk5syZwWeJFo45e/zxx4u1DeXEL1Dwi/WJMlK30dqNhM1CTzzxxAlNiGR0Zmej7ePi4hg7diw//vhjmWMljbQtFMqTGUYChNHv0YEDB4o9S7d58+YMGjTolNsbDW1GZusO9ckMI7UbqRsKTsLl5uYW+dnIyckp8aq5kbYQ2hNIoaTbekVERKTCGB0XZrS90TFk5T3mLJSTp5ys9PR03G430dHR1K5du9R2RmtPT08nKyuryNXtshw5ciRYS2xsbIltAoFAcGbnP8+m27179xJ/ETfaPtSMHMdBgwYxZsyYYkH2mWeeYcmSJSX2P2LECEaNGnVCAcLI9+i2226jd+/ewZDvdrtJTk7m3XffZdGiRafcftGiRTRu3PiEQpsRkydPxuv1Fjs5Udqs10bbh7L2jz76iMTERBo3bhw8hjt37mT8+PFceumlJ922kJGfFTi5f9PlTeFU5DheeOEFNmzYgM/nw2KxMG7cOP72t7+dcr+//fYbY8aMYcWKFcdddiqSkpLo27cv33zzDW+88QZz5849bvtp06YxfPhwGjRoYHhbOTk5TJ48mcTERFN+ERCRyi+U48Iq05izUDJ6a+TmzZuZOnUqfr8/eNul3+9n8uTJtGnTptTtnGiYhRMLm3+tpXBsXSAQYNKkSbRt2/b4O17OduzYUeq6v37/jbT9qxM5jidzMsNogDjR79GRI0d49tln+eabb4IzR7dt25a77rqL+Pj4U24fKn8+OfHnGW9P5GTGibQ3yugs4z6fj+3btwdPrDRp0gS7veSbW420hcoRNo3Sbb0ipdi2bRsfffQRy5cvx2KxkJaWxrhx41i9erXZpZ2Q559/nuuuu+6E2m7atAm73X5SwRQgPDycNm3a8Pbbb3P99defVB8iUr2FclxYZRpzZlQox7PNnDmTefPmcdpppwWX7dmzh9GjR5c4CZWRMGs0bBqpxWggNNp+woQJ7N69m3POOYc/X6OxWCy89tprJ922kJHj2KhRIxYuXGjohEBcXBwWi4Xdu3cfN3Aa/R7Vrl2bRx555LjbPpX2RvTu3ZsjR46UuO6vs21bLBbOPPNMdu3aRXh4OLVq1aJBgwalBk2j7eHEA+efZxlv2LAhHo+H+fPnlzorOYDdbj/hR7cYaQsFPytxcXEn1Pavt2j/WeHQgIqgcCpSiujoaPbs2cOqVatISEigRYsWrFq1CoCtW7cybdo0AGJjY5kxYwY//vgjzz33HFarlYMHDzJgwAAGDx7Ml19+yfz58wkEAng8HubMmVPq2KNCX375JXPnzsVms3HmmWcydepU3nnnHT799FNycnLYtWsXI0aMoG/fvmzevJnHHnuMqKgo4uPjCQsLo127dhw8eJD777+fm2++mZ07dzJ8+HDS09O57LLLGDVqVJHtLVmyhFtuuQWAX3/9lUceeST48Oa5c+cya9Ys7HY7e/bswev10rNnTz7++GP27t3LggULaNSoEVdffTXDhw9XOBWREoVyXFhlGnMWyolfTmY825/DIMBpp51W6i/hRgKk0eBrpBajgdBo+8WLFzNkyBBmz55N/fr1SzoUJ9W2kJFjY/TqtpHAafR7FEpGwiYUhLwxY8awbNmyMmf+/XMgPPPMM8sMhKfSvqzAuWHDhmKzjA8dOpT+/fuX2LeRQGg0PBptHxcXx/Lly7nrrrsw88ZahVORUtSvX5+FCxeydOlSnn32WcLDw7n//vu56qqrePTRR5kxYwbnnnsuK1euZNGiRXTq1In9+/fz9ttv4/f76d27Nz169ODnn38Ofqg999xzrF27lt69e5e63UAgwKOPPsrrr79OfHw8Tz31FG+99RZ2ux23281LL73Er7/+yp133knfvn2ZPHkys2bNomnTpsydO5f9+/fTr18/Fi5cyNy5c9m0aRO5ubksWLCA/Px8Lr300mLh9Msvvww+PuGJJ57g9ttvJyEhgQ8//JAff/wRgDPOOINp06YxadIkfvvtN1588UWeeeYZPvroI4YNG0atWrU4cuRIcDp5EZE/C+UkN6GeQMdIKAzlxC8Aw4cPL7NNoa5duzJs2DA6d+4c3M/169eTkJBQYnsjAdJo8DVSi9FAaLR9REQEjz32GHv27CmzvZG2hYwcG6MB0kh7o98jowHSSHsjYROgcePG3HTTTXzxxRd07dr1uG2NBsJQtjc6K7mRQGg0PBptP2zYMH744Qfq1atHp06dymwfKgqnIqXYuXMnLpcrGNq+//57RowYQYcOHdi+fXtw0HxeXl5wXEibNm2CD+Vu2rQpu3bton79+kyfPp3IyEj2799f5tia9PR0Dhw4EPwPLycnh06dOtG4cWOaN28OFHy4FD4Y/MCBAzRt2hSAdu3asWbNmmJ9Nm3aNFhXSWMT/H5/cP2OHTuCZ2u7desGwLvvvkvLli0BiImJCT56ISYmpsgDyuvUqUNGRobCqYgUM2XKlGLjvC677LJSA5mR9qHsu9CJhkKjYdNI32BsPNvIkSP58ccfSU1N5ciRI7hcLh544AHOP//8EtsbCZBGg6+RWowGwpMJkEbmjzA618Rfj43b7SYlJaXEY2M0QBppb6QOMB4gjbQ3EjYL9enT54TahfIxVUbbT5w4scRZxkubaMlIIDQaHk8mbE6fPp3c3NwTahsqCqcipdi6dStJSUksXLgQp9PJ2WefTUxMDDabjbPPPpsnnniC008/ndTUVA4ePAhAWloa+fn5eL1etm3bRuPGjbn77rv54IMPcLlcjBs3rsyzV7Vr16ZBgwYsWLCA6OhoPvzwQyIjI9m7d2+JHz4NGjRg27ZtnHvuuXz33XfB5RaLBb/fH/z6eMLCwsjPz8dms9GkSRO+//57OnXqxOrVqzl69OgJ9QFw7NixEx7bICI1SyjHhVWmMWdgLGwa6ftkxrO1bNkyeHKxLEYCpNHga7QWo4HQSPuSrgIWuuSSS066baE/H5uMjIzjHhujAdJIeyN1gPEAabT9iYbNQuvWrWPjxo1F/l306NGj2L9To4EwlO0vuOAC3n777eAs41FRUbhcruPup5FAaDQ8Gm0fFhZGWFjYCbcPBYVTkVJceeWVbN++nRtuuIHIyEgCgQAPPfQQ0dHRTJkyhXHjxgVn8Z0+fToHDhzA5/MxYsQIMjIyuOuuu4iLi+Paa69l8ODBREREUKdOHQ4cOHDc7VqtViZOnMjtt99OIBAgKiqKWbNmsXfv3hLbT548mQkTJhAZGYnD4QieNW7fvj23334799xzT5n72rZtW7Zs2UKrVq146KGHmDRpEgsXLiQ8PJzZs2cHZxE8nmPHjhETE3NCj3oQkZonlOPCKtOYMzAWZEM5nu1kgpWRAGmkbSgDodH2K1as4IcffqBDhw5ltjfS9s/27NnDjh07yMzMpFatWsTHx9OyZctiwcpogDTa/kTrKGQ0QBppf6JhE+Cxxx7D7/eTkJAQHIubnJzM+vXrmT59epG2RgNhqNsDuFyuMtsUMhIIjYZHI+3Hjh1b6ro5c+ac8DZPlR4lI1JOvvjiixN6ZEt5W7ZsGVdffTVxcXHMnTsXh8PByJEjDfXx7bff8t57753SrHvLli3D5XIZ/mATkZph0KBBxYJVIBCgf//+JY6tM9I+lH0bbf/nsFn4S/X69etLDbJG+u7fvz9PPvlkkdsLd+/ezQMPPEBSUlKxvu+9995Sg1XhkJU/C2WANFKL0bqNts/Pz2fIkCFMnz49OEylNEbaFiotWPl8vmLBCgpCW+HJjFq1ah03tBlpb7SOwr5PNEAaaW+0liFDhrB06dJiywcOHHjKM2SHktGAZ6R9KPsG+OCDD5g7dy5Tpkwptu6iiy4qta/ypiunIlVcfHw8t956K5GRkURHR5OYmGi4jzZt2rB69Wr27dt30s85/eabb5g9e7bh94pIzRDKcV6VacyZ0aubRsezjRo1Cq/XS3h4OLm5uTgcjlJvR5w7dy5DhgxhxIgRJxSsQnlF0UgtRus22t5mszFr1iyysrLw+/2lft+Nti30888/FwtW3bp1Y+DAgcXaGrlCaLS9kToqWy1+v5+vv/6a9u3bB5d99dVXJT7tINShzUj7Hj16lBrwSmKkfSj7BujevTtffvklhw8f5uqrrz6h94SCwqlIOenQoUOJH9Kh1qNHD3r06HHK/UyePPmk3xseHl6ht3yISNVjNFgZaR/Kvo22Nxp8jfQdFxfHaaedxtdffx28UnXBBReUOgmd0WAVygAZykBotP3u3buZOXMmP/zwA3a7Hb/fT7NmzRg/fnyx56IaaVvISLAyGtqMtDdSR2WrJTExkZkzZzJmzBgCgQBWq5WWLVvy+OOPF2sb6tBmpL3RgGekfSj7LjRx4sQTahdKCqciIiISckaDlZH2oezbaHujwddo3w888ECR8aubNm1i/PjxJd7qaDRYhTJAhjIQGm0/ceJExo4dW+RZt6UdRyNtCxkJVkZDm5H2RuqobLU0atSIhQsXlrjur0Id2oy2NxrwjLQPZd9Gn9EcKhpzKiIiIiF30003lRisEhMTS/zFx0j7UPZttH1hUPpr2CwtKBnpu7TxdqUtv+mmm0oMVqXtZygDpJFajNZttL2R42j0mBu1a9cuZs6cyZYtW4qEtnHjxgUfU3cq7atqLSUFpUKVecyp0YBnpH0o+wb47rvvSn1G8xlnnFHC3oaGrpyKiIhIyHm93mIz1rZu3bpc2oeyb6PtjV7dNNL3eeedx/jx4+nSpUvw2aKffvop5513Xql1/zmwHa/vwtpDdUXRSC1G6zba3shxNHrMwViwMnKF0Gh7owGvMtXywAMPlBqUTqTv8gxtRtobqdto+1D2DSf3jOZQUDgVERGRkDP6S34oA0Qo2xsNvkb6njJlCuvWrSM1NRW3243L5eKyyy4r9RfJUIbZyhQIjbY3chyNHnM49WBV6ESDUmntjYaTylSLkaAU6tBmpL3RgGekfSj7LmT0Gc2hoNt6RUREJOQCgUCxX/Lbtm1L9+7dS3xMhZH2oezbaPvJkyfj9XqLBSWn01niuFOjtRhhtG8jtYdyP0P9/awIixYtonHjxmWGAqO3Uhptf6J1VLZajDLad6jby8lTOBUREREpJ5UxKJ2oUAZIKV1lCkqVqRapmRRORURERERExHRlP0lYREREREREJMQUTkVERERERMR0CqciIiIiIiJiOoVTERERERERMd3/ARKL6CwHYghRAAAAAElFTkSuQmCC\n", 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" ] @@ -598,15 +598,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Coinciding data point found, restart\n", - "{'000010': 0.1242457, '110010': 0.1226366, '100010': 0.1209948, '010010': 0.1159522, '101111': 0.1086239, '001011': 0.0802572, '011111': 0.0577204, '111011': 0.0406367, '111101': 0.0362708, '011101': 0.0324877, '111001': 0.0254111, '001101': 0.0243613, '111111': 0.022681, '011001': 0.0222616, '001001': 0.0156352, '011011': 0.0125299, '101101': 0.0106546, '010000': 0.0064708, '101001': 0.0052101, '001111': 0.0047459, '100100': 0.0032923, '010100': 0.0024405, '110000': 0.0021306, '000000': 0.000739, '100000': 0.0006937, '101011': 0.000511, '110100': 0.0002286, '010110': 0.0001362, '100110': 1.89e-05, '000100': 1.49e-05, '110110': 4e-06}\n", - "Sum Iris Setosa (red, label 0): 0.4938634\n", - "Sum Iris Versicolor (blue, label 1): 0.2024528\n" + "{'110000': 0.1201827, '000000': 0.1183431, '011101': 0.0859184, '100000': 0.0820263, '111101': 0.0689176, '010000': 0.05514, '101111': 0.0508251, '001111': 0.0498949, '010010': 0.0454787, '111111': 0.039761, '001101': 0.0391804, '100010': 0.0330465, '101101': 0.0315258, '011111': 0.030831, '101001': 0.0263219, '001001': 0.0201228, '101011': 0.0163269, '001011': 0.0158016, '010110': 0.013361, '010100': 0.01102, '111011': 0.0103499, '100110': 0.0070761, '000010': 0.0063053, '011011': 0.0060716, '111001': 0.0059712, '100100': 0.0028508, '110010': 0.0024114, '110110': 0.0023582, '011001': 0.0021787, '000110': 0.0003335, '110100': 4.73e-05, '000100': 1.78e-05}\n", + "Sum Iris Setosa (red, label 0): 0.462934\n", + "Sum Iris Versicolor (blue, label 1): 0.10314459999999999\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] diff --git a/docs/examples/classifier_example/classification_example3_4_features.ipynb b/docs/examples/classifier_example/classification_example3_4_features.ipynb index 7831fec..55d9e5d 100644 --- a/docs/examples/classifier_example/classification_example3_4_features.ipynb +++ b/docs/examples/classifier_example/classification_example3_4_features.ipynb @@ -262,10 +262,16 @@ "metadata": {}, "outputs": [], "source": [ + "def QuantumCircuitWithClassicalRegister(q):\n", + " # Return a QuantumCircuit with ClassicalRegister Attached\n", + " circuit_size = len(q)\n", + " b = ClassicalRegister(circuit_size)\n", + " return QuantumCircuit(q, b)\n", + "\n", "def cRy(q, angle, ctrlidx, idx):\n", - " if len(q)<2:\n", + " if len(q) < 2:\n", " raise ValueError(\"Error, len quantum register must at least be 2.\")\n", - " circuit = QuantumCircuit(q)\n", + " circuit = QuantumCircuitWithClassicalRegister(q)\n", " half_angle = angle / 2\n", " \n", " circuit.cx(q[ctrlidx], q[idx])\n", @@ -276,23 +282,23 @@ "\n", "\n", "def features_encoding(q, alpha, idx1, idx2):\n", - " if len(q)<2:\n", + " if len(q) < 2:\n", " raise ValueError(\"Error, len quantum register must at least be 2.\")\n", " # Alternative use u3(2 * alpha, 0, pi) and cu3(2 * alpha, 0, pi) gates but not yet implemented on Quantum inspire\n", " alpha1, alpha2, alpha3 = alpha\n", " \n", - " circuit = QuantumCircuit(q)\n", + " circuit = QuantumCircuitWithClassicalRegister(q)\n", " \n", " # step 1.\n", " circuit.ry(2 * alpha1, q[idx1])\n", "\n", " # # step 2.\n", " circuit.x(q[idx1])\n", - " circuit = circuit + cRy(q, 2 * alpha2, idx1, idx2)\n", + " circuit = circuit.compose(cRy(q, 2 * alpha2, idx1, idx2))\n", " circuit.x(q[idx1])\n", "\n", " # step 3.\n", - " circuit = circuit + cRy(q, 2 * alpha3, idx1, idx2)\n", + " circuit = circuit.compose(cRy(q, 2 * alpha3, idx1, idx2))\n", " return circuit\n", "\n", "\n", @@ -312,9 +318,9 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "
" + "
" ] }, "execution_count": 6, @@ -336,7 +342,7 @@ { "data": { "text/plain": [ - "{'00': 0.1069, '10': 0.3248822, '01': 0.2243793, '11': 0.3438386}" + "{'00': 0.1068999, '10': 0.3248824, '01': 0.2243791, '11': 0.3438387}" ] }, "execution_count": 7, @@ -351,7 +357,7 @@ "\n", "# Build circuit:\n", "circuit = features_encoding(q, [alpha1, alpha2, alpha3], 0, 1)\n", - "qc = circuit + meas\n", + "qc = circuit.compose(meas)\n", "\n", "\n", "# Execute the circuit:\n", @@ -382,7 +388,7 @@ "\n", "# Display results:\n", "probabilities = execute_circuit(qc)\n", - "create_histogram_results(probabilities)" + "create_histogram_results(probabilities)\n" ] }, { @@ -413,7 +419,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -444,9 +450,9 @@ "outputs": [], "source": [ "def ccRy(q, angle, ctrlidx1, ctrlidx2, idx):\n", - " if len(q)<3:\n", + " if len(q) < 3:\n", " raise ValueError(\"Error, len quantum register must at least be 3.\")\n", - " circuit = QuantumCircuit(q)\n", + " circuit = QuantumCircuitWithClassicalRegister(q)\n", " quarter_angle = angle / 4\n", " \n", " circuit.ccx(q[ctrlidx1], q[ctrlidx2], q[idx])\n", @@ -464,21 +470,21 @@ "\n", "\n", "def c_features_encoding(q, alpha, ctrlidx, idx1, idx2):\n", - " if len(q)<3:\n", + " if len(q) < 3:\n", " raise ValueError(\"Error, len quantum register must at least be 3.\")\n", " alpha1, alpha2, alpha3 = alpha\n", - " circuit = QuantumCircuit(q)\n", + " circuit = QuantumCircuitWithClassicalRegister(q)\n", " \n", " # step 1.\n", - " circuit = circuit + cRy(q, 2 * alpha1, ctrlidx, idx1) # old: ry(2 * alpha1, q[idx1])\n", + " circuit = circuit.compose(cRy(q, 2 * alpha1, ctrlidx, idx1)) # old: ry(2 * alpha1, q[idx1])\n", "\n", " # # step 2.\n", " circuit.cx(q[ctrlidx], q[idx1]) # old: x(q[idx1])\n", - " circuit = circuit + ccRy(q, 2 * alpha2, idx1, ctrlidx, idx2) # old: cRy gates\n", + " circuit = circuit.compose(ccRy(q, 2 * alpha2, idx1, ctrlidx, idx2)) # old: cRy gates\n", " circuit.cx(q[ctrlidx], q[idx1]) # old: x(q[idx1])\n", "\n", " # step 3.\n", - " circuit = circuit + ccRy(q, 2 * alpha3, idx1, ctrlidx, idx2) # old: cRy gates\n", + " circuit = circuit.compose(ccRy(q, 2 * alpha3, idx1, ctrlidx, idx2)) # old: cRy gates\n", " return circuit" ] }, @@ -513,7 +519,7 @@ "def two_features_classifier(q, x_tilde, x0, x1):\n", " if len(q) != 4:\n", " raise ValueError(\"Error, len quantum register must be 4.\")\n", - " circuit = QuantumCircuit(q)\n", + " circuit = QuantumCircuitWithClassicalRegister(q)\n", " \n", " # Angles data points:\n", " angle_x_tilde = 2 * acos(x_tilde[0]) * sign(x_tilde[1]) # Label ?\n", @@ -525,15 +531,15 @@ " circuit.h(q[i])\n", "\n", " # part_b:\n", - " circuit = circuit + cRy(q, angle_x_tilde, 1, 2)\n", + " circuit = circuit.compose(cRy(q, angle_x_tilde, 1, 2))\n", " circuit.x(q[1])\n", "\n", " # part_c:\n", - " circuit = circuit + ccRy(q, angle_x0, 1, 0, 2)\n", + " circuit = circuit.compose(ccRy(q, angle_x0, 1, 0, 2))\n", " circuit.x(q[0])\n", "\n", " # part_d:\n", - " circuit = circuit + ccRy(q, angle_x1, 1, 0, 2)\n", + " circuit = circuit.compose(ccRy(q, angle_x1, 1, 0, 2))\n", "\n", " # part_e:\n", " circuit.cx(q[0], q[3])\n", @@ -559,7 +565,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -578,7 +584,7 @@ "\n", "# Initialize circuit:\n", "circuit = two_features_classifier(q, x_tilde, data_label0[0], data_label1[0])\n", - "qc = circuit + meas\n", + "qc = circuit.compose(meas)\n", "\n", "# Execute the circuit:\n", "probabilities = execute_circuit(qc)\n", @@ -604,7 +610,7 @@ "def four_features_classifier(q, x_tilde, x0, x1):\n", " if len(q) != 6:\n", " raise ValueError(\"Error, len quantum register must be 5 + 1 ancillary qubit.\")\n", - " circuit = QuantumCircuit(q)\n", + " circuit = QuantumCircuitWithClassicalRegister(q)\n", "\n", " def get_alpha(data_point):\n", " a00, a01, a10, a11 = data_point\n", @@ -619,14 +625,14 @@ "\n", " # part_b:\n", " alpha = get_alpha(x_tilde)\n", - " circuit = circuit + c_features_encoding(q, alpha, 1, 2, 3)\n", + " circuit = circuit.compose(c_features_encoding(q, alpha, 1, 2, 3))\n", " circuit.x(q[1])\n", "\n", " # part_c:\n", " # Use ancillary qubit + c_features_encoding for cc_features_encoding\n", " circuit.ccx(q[0], q[1], q[5])\n", " alpha = get_alpha(x0)\n", - " circuit = circuit + c_features_encoding(q, alpha, 5, 2, 3)\n", + " circuit = circuit.compose(c_features_encoding(q, alpha, 5, 2, 3))\n", " circuit.ccx(q[0], q[1], q[5])\n", " circuit.x(q[0])\n", " \n", @@ -634,7 +640,7 @@ " # Use ancillary qubit + c_features_encoding for cc_features_encoding\n", " circuit.ccx(q[0], q[1], q[5])\n", " alpha = get_alpha(x1)\n", - " circuit = circuit + c_features_encoding(q, alpha, 5, 2, 3)\n", + " circuit = circuit.compose(c_features_encoding(q, alpha, 5, 2, 3))\n", " circuit.ccx(q[0], q[1], q[5])\n", "\n", " # part_e:\n", @@ -662,15 +668,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "Sum Iris Setosa (red, label 0): 0.48165520000000006\n", - "Sum Iris Versicolor (blue, label 1): 0.0093529\n", - "Random label is: 0\n", - "Prediction by true classifier: 0\n" + "Sum Iris Setosa (red, label 0): 0.03734609999999999\n", + "Sum Iris Versicolor (blue, label 1): 0.4600327\n", + "Random label is: 1\n", + "Prediction by true classifier: 1\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -689,7 +695,7 @@ "\n", "# Initialize circuit:\n", "circuit = four_features_classifier(q, x_tilde, data_label0[0], data_label1[0])\n", - "qc = circuit + meas\n", + "qc = circuit.compose(meas)\n", "\n", "# Execute the circuit:\n", "probabilities = execute_circuit(qc)\n", diff --git a/docs/examples/example_projectq.ipynb b/docs/examples/example_projectq.ipynb index 838f2cd..cea3d77 100644 --- a/docs/examples/example_projectq.ipynb +++ b/docs/examples/example_projectq.ipynb @@ -88,7 +88,7 @@ "output_type": "stream", "text": [ "Measured 1,0,0,0,1\n", - "Probabilities: {'10001': 0.51953125, '00000': 0.48046875}\n", + "Probabilities: {'10001': 0.5087890625, '00000': 0.4912109375}\n", "version 1.0\n", "# cQASM generated by Quantum Inspire class\n", "qubits 5\n", @@ -148,7 +148,7 @@ "output_type": "stream", "text": [ "Measured 0,0,0,0,0\n", - "Probabilities: {'00000': 0.5078125, '10001': 0.4921875}\n", + "Probabilities: {'00000': 0.4951171875, '10001': 0.5048828125}\n", "version 1.0\n", "# cQASM generated by Quantum Inspire class\n", "qubits 5\n", diff --git a/docs/examples/grover_algorithm_qi.ipynb b/docs/examples/grover_algorithm_qi.ipynb index a7f68eb..7c47c38 100644 --- a/docs/examples/grover_algorithm_qi.ipynb +++ b/docs/examples/grover_algorithm_qi.ipynb @@ -128,7 +128,7 @@ " state = state // 2 \n", "\n", " input_state = r'\\left\\lvert{0:0{1}b}\\right\\rangle'.format(base_state, number_of_qubits)\n", - " circuit_total = pre_circuit.combine(q_circuit)\n", + " circuit_total = pre_circuit.compose(q_circuit)\n", " job = execute(circuit_total, backend=backend)\n", " output_state = job.result().get_statevector(circuit_total)\n", "\n", @@ -143,9 +143,9 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -221,7 +221,7 @@ { "data": { "text/latex": [ - "$\\displaystyle \\left\\lvert100\\right\\rangle\\mathrm{transforms\\ to}: -0-1j\\left\\lvert 100\\right\\rangle $" + "$\\displaystyle \\left\\lvert100\\right\\rangle\\mathrm{transforms\\ to}: +1\\left\\lvert 100\\right\\rangle $" ], "text/plain": [ "" @@ -233,7 +233,7 @@ { "data": { "text/latex": [ - "$\\displaystyle \\left\\lvert101\\right\\rangle\\mathrm{transforms\\ to}: -0-1j\\left\\lvert 101\\right\\rangle $" + "$\\displaystyle \\left\\lvert101\\right\\rangle\\mathrm{transforms\\ to}: +1\\left\\lvert 101\\right\\rangle $" ], "text/plain": [ "" @@ -245,7 +245,7 @@ { "data": { "text/latex": [ - "$\\displaystyle \\left\\lvert110\\right\\rangle\\mathrm{transforms\\ to}: -0-1j\\left\\lvert 110\\right\\rangle $" + "$\\displaystyle \\left\\lvert110\\right\\rangle\\mathrm{transforms\\ to}: +1\\left\\lvert 110\\right\\rangle $" ], "text/plain": [ "" @@ -257,7 +257,7 @@ { "data": { "text/latex": [ - "$\\displaystyle \\left\\lvert111\\right\\rangle\\mathrm{transforms\\ to}: +0+1j\\left\\lvert 111\\right\\rangle $" + "$\\displaystyle \\left\\lvert111\\right\\rangle\\mathrm{transforms\\ to}: -1\\left\\lvert 111\\right\\rangle $" ], "text/plain": [ "" @@ -386,9 +386,9 @@ "outputs": [ { "data": { - "image/png": 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\n", 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" ] }, "execution_count": 7, @@ -441,7 +441,7 @@ { "data": { "text/latex": [ - "$\\displaystyle \\left\\lvert001\\right\\rangle\\mathrm{transforms\\ to}: +0.25\\left\\lvert 000\\right\\rangle -0.75\\left\\lvert 001\\right\\rangle +0.25\\left\\lvert 010\\right\\rangle +0.25\\left\\lvert 011\\right\\rangle +0.25\\left\\lvert 100\\right\\rangle +0.25\\left\\lvert 101\\right\\rangle +0.25\\left\\lvert 110\\right\\rangle +0.25\\left\\lvert 111\\right\\rangle $" + "$\\displaystyle \\left\\lvert001\\right\\rangle\\mathrm{transforms\\ to}: -0.25\\left\\lvert 000\\right\\rangle +0.75\\left\\lvert 001\\right\\rangle -0.25\\left\\lvert 010\\right\\rangle -0.25\\left\\lvert 011\\right\\rangle -0.25\\left\\lvert 100\\right\\rangle -0.25\\left\\lvert 101\\right\\rangle -0.25\\left\\lvert 110\\right\\rangle -0.25\\left\\lvert 111\\right\\rangle $" ], "text/plain": [ "" @@ -453,7 +453,7 @@ { "data": { "text/latex": [ - "$\\displaystyle \\left\\lvert010\\right\\rangle\\mathrm{transforms\\ to}: +0.25\\left\\lvert 000\\right\\rangle +0.25\\left\\lvert 001\\right\\rangle -0.75\\left\\lvert 010\\right\\rangle +0.25\\left\\lvert 011\\right\\rangle +0.25\\left\\lvert 100\\right\\rangle +0.25\\left\\lvert 101\\right\\rangle +0.25\\left\\lvert 110\\right\\rangle +0.25\\left\\lvert 111\\right\\rangle $" + "$\\displaystyle \\left\\lvert010\\right\\rangle\\mathrm{transforms\\ to}: -0.25\\left\\lvert 000\\right\\rangle -0.25\\left\\lvert 001\\right\\rangle +0.75\\left\\lvert 010\\right\\rangle -0.25\\left\\lvert 011\\right\\rangle -0.25\\left\\lvert 100\\right\\rangle -0.25\\left\\lvert 101\\right\\rangle -0.25\\left\\lvert 110\\right\\rangle -0.25\\left\\lvert 111\\right\\rangle $" ], "text/plain": [ "" @@ -477,7 +477,7 @@ { "data": { "text/latex": [ - "$\\displaystyle \\left\\lvert100\\right\\rangle\\mathrm{transforms\\ to}: +0.25\\left\\lvert 000\\right\\rangle +0.25\\left\\lvert 001\\right\\rangle +0.25\\left\\lvert 010\\right\\rangle +0.25\\left\\lvert 011\\right\\rangle -0.75\\left\\lvert 100\\right\\rangle +0.25\\left\\lvert 101\\right\\rangle +0.25\\left\\lvert 110\\right\\rangle +0.25\\left\\lvert 111\\right\\rangle $" + "$\\displaystyle \\left\\lvert100\\right\\rangle\\mathrm{transforms\\ to}: -0.25\\left\\lvert 000\\right\\rangle -0.25\\left\\lvert 001\\right\\rangle -0.25\\left\\lvert 010\\right\\rangle -0.25\\left\\lvert 011\\right\\rangle +0.75\\left\\lvert 100\\right\\rangle -0.25\\left\\lvert 101\\right\\rangle -0.25\\left\\lvert 110\\right\\rangle -0.25\\left\\lvert 111\\right\\rangle $" ], "text/plain": [ "" @@ -513,7 +513,7 @@ { "data": { "text/latex": [ - "$\\displaystyle \\left\\lvert111\\right\\rangle\\mathrm{transforms\\ to}: +0.25\\left\\lvert 000\\right\\rangle +0.25\\left\\lvert 001\\right\\rangle +0.25\\left\\lvert 010\\right\\rangle +0.25\\left\\lvert 011\\right\\rangle +0.25\\left\\lvert 100\\right\\rangle +0.25\\left\\lvert 101\\right\\rangle +0.25\\left\\lvert 110\\right\\rangle -0.75\\left\\lvert 111\\right\\rangle $" + "$\\displaystyle \\left\\lvert111\\right\\rangle\\mathrm{transforms\\ to}: -0.25\\left\\lvert 000\\right\\rangle -0.25\\left\\lvert 001\\right\\rangle -0.25\\left\\lvert 010\\right\\rangle -0.25\\left\\lvert 011\\right\\rangle -0.25\\left\\lvert 100\\right\\rangle -0.25\\left\\lvert 101\\right\\rangle -0.25\\left\\lvert 110\\right\\rangle +0.75\\left\\lvert 111\\right\\rangle $" ], "text/plain": [ "" @@ -652,7 +652,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -732,9 +732,9 @@ "outputs": [ { "data": { - "image/png": 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u+Um057bl+wsu9Z0kVeHUEQDqMD9/qc2tni/nW1/0TLvtEXMGfQDMJ6iRdPMAqWN/6YPvL2QbP9TYmgBYR+NWntu17zH9HpOcfsbWBBjFlIFfWXbu3FkrwdvSpUs1cuRIhYeHKzo6WmvXrpWfHyME6jbCPgBV9eOAj7APQFXxBR2ANzCWoC6zROCXk5OjQ4cOadKkST5fV7NmzbR582afrwc1U9Wr06DuoUcAwPwYq2FH9DUAwAwsEfiFhISoqKjI6DJgIkuXLjW6BJgcPQIA5sdYDTuirwEAZsCBerCkiRMnGl0CTI4eAQDzY6yGHdHXAAAzIPCDJW3bts3oEmBy9AgAmB9jNeyIvgYAmAGBHwAAAAAAAGAjBH4AAAAAAACAjRD4wZIOHDhgdAkwOXoEAMyPsRp2RF8DAMyAwA+WtHr1aqNLgMnRIwBgfozVsCP6GgBgBv5GF4Caiwqve+uePXu2hg8fXuvrjWvYsNbXaYZ1W5ERPWLV/jDqdVyT9Vp1W6P2GPX/yYqvRSPXzfs57Kiu9XVdHPesuK1Re6z4HmPV1yLKR+BnA0N7GV1B3fFipy5GlwATs2p/WHEMseq2Ru2xYo9Y8bVoVVbsD6AiVuxrq457VtzWqD1W7A+rvhZRPg7pBQAAAAAAAGyEwA+W9OqrrxpdAkyOHgEA82Oshh3R1wAAMyDwgyXFxMQYXQJMjh4BAPNjrIYd0dcAADMg8IMl9evXz+gSYHL0CACYH2M17Ii+BgCYAYEfAAAAAAAAYCMEfgAAAAAAAICNEPjBkm655RajS4DJ0SMAYH6M1bAj+hoAYAYEfrCkzz77zOgSYHL0CACYH2M17Ii+BgCYAYEfAAAAAAAAYCMEfgAAAAAAAICNEPjBktasWWN0CTA5egQAzI+xGnZEXwMAzIDADwAAAAAAALARAj9YUmJiotElwOToEQAwP8Zq2BF9DQAwA3+jC0DN/XWn9M0FY9YdFS4N7WXMugGzseprcdq/vtDnly55t6BKiGvYUC926lLr60XdYMW+tuoYAsAcjBpDrPgZROJzCHzHin3NZxB7IvCzgW8uSF99Z3QVAKz6Wvz80iV9eOG80WUAXmXFvrbqGALAHKw4hlhxrAYqYsW+tuL4gYpxSC8safLkyUaXAJOjRwDA/BirYUf0NQDADAj8YEmPPfaY0SXA5OgRADA/xmrYEX0NADADAj9YUt++fY0uASZHjwCA+TFWw47oawCAGRD4wZLOnDljdAkwOXoEAMyPsRp2RF8DAMyAwA8AAAAAAACwEQI/WFKXLlW/1DjqFnoEAMyPsRp2RF8DAMyAwA+WtHbtWqNLgMnRIwBgfozVsCP6GgBgBrYK/B599FE5HA4lJiaWui89PV1DhgxRZGSkQkJCFBcXp6VLl8rtdhtQKWrqmWeeMboEmBw9AgDmx1gNO6KvAQBmYJvAb+vWrUpJSVFoaGip+zIzM9W/f3+dPHlSS5Ys0bvvvqu+fftq0qRJWrBggQHVoqZSUlKMLsHW8i9LR//5w7/3bZCyTkhWysfpEcA4OWekg5t/+PeXH0p52cbVA/NirMb13C7p7FfS5+t+mHYiQyrMN6ykKqOvAeMUXpWOp//w7z3rpLNHrPU9BvAWWwR+eXl5SkpK0uzZsxUeHl7q/nXr1ik7O1urV6/WsGHDNGDAAC1evFh33nmn3nrrLQMqNtaa3yfo03d/X+npqFvOH5M+ek36cvsP0749IO38i7T/fcnlMq42O7Li69FdUKCCXz+momWvlZhe9M67Khg5Wu7cXIMqgxkc+Vj6ZIV04vMfph39VPr4denkPuPqKo9Ve9qK4wdQnsJ8aXeKlPGOdObLH6Yf3CJ9/Ecp56xxtdmRFccQq47XqB2XznjGin9t/WHad19KGX+V0tdIRSb94cCqfW3FMaSuMW3g53K5tGDBAkVHRyswMFBxcXFKS0tTp06dNGHChBLzPvPMMwoODtaTTz5Z5rLy8z2v7LCwsBLTw8LC5CK9AIrlZXneEIsKr7vj+1/Evv1COvKP2q4KZuMICJD/zN/I9fcNcqVnSJLcXx+V640V8psxXY7gYGMLhGFO7vMEfmVxu6UvNkoXjtduTZVBTwPmUGKMuG5vnPzLnjDQSnv6wfsYr3EjBVek3aul/Lzr7vh+LDmfKX3xf7VeVqXQ1/AV0wZ+Y8aM0XPPPaekpCS9//77Gj58uEaMGKEjR46oZ8+exfPt2rVLixYt0vLly+Xv71/mskaMGKGIiAhNmjRJmZmZys7O1ooVK7Rx40Y99dRTtfWU4EVpaWlGl2BLxzMkV6FKfcj+sWO7rfFhmx7xLUeb1nKOGa2iF16S+/x5Fc57Xs4HhsgZ283o0mAQt1v6+pMKZnJImZ/VSjlVRk8bg7Ea11y+IH13qJwZ3FJ+rufHR7Ojr32L8RplOfWFVJCncr/HnD5o3lOM0NfwhbITMoOtWrVKK1as0LZt29SvXz9JUv/+/bV792799a9/LQ78CgsLNW7cOI0fP169e/e+4fKioqK0Y8cO3X///WrTpo0kyd/fXwsXLtTYsWNLzDt79mylpKTo4MGDWr16dZkXAKkJh8Ph1eVJ0rBZqWrROcHry62MtLRtenxgf68u80Z7av7YV199pfbt25c7z8KFC71VUp3x56dPqEmjqHLncRVKd9/yc324Z00tVVWaWXvEqq9FvxfmyRkXW+XHOR98QO5Pd6owabLUJELO0aOq9Pht27bJccttVV4vzKlt825a/tSe8mdyS9995VJQ/VBdyfft4SnV6eua9rRUs7626hhyI2Ydq2FOD/efqbGD55Y7j8tVpP9d9qGm//ddtVRVaWbua6PGECt+BpH4HGI3L0/+hzq36iOns/x9mn71wHStSXvRp7VYsa/t9hnEyryZGZky8Js7d67uu+++4rDvmg4dOiggIEDdunlS7gULFuj06dNKTk4ud3mZmZkaMmSIoqKiNH/+fIWGhmrr1q2aNm2aioqKNHXq1OJ5o6OjtWjRIv3ud7/z/hMzkU/XzdGuDSUvWFJwJUetug4wqKKqWb9+faU+cKFqggNLX/Sm7Pka+biSmrNSj1j19ehwOOSI7Sb3rt1yPjxcjoAAo0uCgSo7LjgdTjWo39DngV91WLGnrTp+XGOlsRq+FRzYSC63S07Hjb+sO51+Cgkqfb5us7FSX1t1DLHieA3fCgkKrzDsk8z9PcaKfW3VMaSuMF3gd+LECe3bt6/MN8ljx44pJiZG9evX17Fjx/Tss89q8eLFcrvdysrKkuQ5919BQYGysrIUHBysgIAAzZw5U7m5uXrvvfcUGBgoSUpISFBhYaFmzJihkSNHKiIiQpI0cuRISdKcOXN88vzcPrg80OLN0lffVe0xtz4wS7c++HSJaWt+n1Dldffrl6A1v/fuczp48GCF8yxcuLDUuRyv99JLL3mrpDrj4zeky+crnu/tv7yuiLav+76gGzBrj1TntSh55/VYk9figJ3/1IcXKvE//jrur7+Wa9Vf5Hzo53KtXCXnT++Q4yc/qfTjExIStIVLptlGXrbngj8VcfpLZ86fktPHn0Cq09c17WmpZn3N+3nZeD+vG46nlzzRfpkcUu+fxsv9knHvHWbua6PGECt+BpH4HGI36Wulc0dV7iG9kjTn+d/pzY2+3bnHin1t1e8xdpKQkCDJs5dmRfNUlunO4XfixAlJUmRkZInpeXl5SktLKz6c98iRI7py5YrGjx+v8PDw4tvx48e1fv16hYeH63//938lSenp6eratWtx2HdNr169lJ+fr8OHD9fCMwPML6oSe57XD5Eat/Z9LTA3d36BCue9IOfQB+U39lE57uijoudflJsLIdVZQY2k8JaSKjgKoXkX+Tzsqw56GjBW5M2Sw6+CmdyV+6wCe2O8Rllu6qoKwz6nv9SsU62UU2X0NXzBdIFfkyZNJEmHDpU8a+/zzz+vU6dOqUePHpKk+Ph4paamlro1a9ZMffv2VWpqqu655x5JUvPmzbV3717l5ZW8ZM+OHTskec7xB2t59tlnjS7BlqK6SUFhKvcLe3Q/qZyjbUyDHvEt1xt/ksPfX85Rv5Qk+U36tdzfnZFr7TsGVwYjtf+p5HCo7DHEIfnXl1rfWttVVQ49bQzGalwTECS1reC0U2EtpCZta6eemqCvfYvxGmVp2kFqdFP587Tr4/ksYkb0NXzBdL+xt2vXTrGxsUpOTlbjxo0VFRWlNWvWaMOGDZJUvIdfWFhYmbszBgYGqmnTpiXumzJlioYNG6ZBgwbp8ccfV2hoqLZs2aJFixYpMTFRLVu2rI2nBi8aPny40SXYkn99qedD0t71Uvapkvf51ZM69pciOxtTW1XRI77jSs+Qa8NG+S95RY7vr47uaNBAfjOmqeg/npazVw852lrgGxm8LuwmKX6YtP89Kf9yyfuCGkmxD0gNwgwprVz0tHEYq/Fj1wK/rz+R3EUl72vaQYoZZI0fHelr32G8xo04/aTuw6R970lnj5S+r+3tJv7Rkb6Gj5gu8HM6nUpJSVFSUpImTpyoiIgIjR49WpMnT9asWbMUG1v1/fiHDh2qTZs2ad68eZo4caJyc3PVtm1bzZkzp8QFO+qKxKe3VWm6GXXu3FkHDhwwugxbCmwo3fJLT+D32f94pnW517P7u189Y2urCqv0iBVfj87u8XKu/2vp6V1j5Pwbv0LWdRGtpTuTpDNfeX48kKTuiZ5TAfjgQvVeYdWetuL4cT2rjNWoHQ6HZw+clvHStwd/OKdfnzFScGNDS6sSq/S1FccQq47XqB3+9aX4oVLOWemTNz3TOt3t2WEhILDchxrKqn1txTGkrjFd4CdJHTt2VGpqaolpo0aNUufOnRUUFFTuY48ePVrm9IEDB2rgwIEVrrugoEBFRUXFF/+4cuWK6tev79VLIwNW0Kj5D3/f1M24OgBYj9NPatZR2vv9vyPaGFkNAKsJCJJadv8h8LNS2AfAeCFNfvi7ZXfj6gCMZoGd4j127tx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"text/plain": [ - "
" + "
" ] }, "execution_count": 12, @@ -797,9 +797,10 @@ { "data": { "text/plain": [ - "[,\n", - " ,\n", - " ]" + "[,\n", + " ,\n", + " ,\n", + " ]" ] }, "execution_count": 14, @@ -845,7 +846,7 @@ "output_type": "stream", "text": [ "Generated histogram:\n", - "{'111': 484, '010': 7, '110': 4, '101': 3, '000': 6, '001': 4, '100': 3, '011': 1}\n" + "{'111': 487, '011': 3, '110': 3, '010': 5, '101': 2, '001': 6, '000': 3, '100': 3}\n" ] } ], @@ -869,7 +870,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] diff --git a/docs/examples/qi-performance-test.ipynb b/docs/examples/qi-performance-test.ipynb index 1a414f6..3674209 100644 --- a/docs/examples/qi-performance-test.ipynb +++ b/docs/examples/qi-performance-test.ipynb @@ -86,9 +86,9 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "
" + "
" ] }, "execution_count": 3, @@ -192,7 +192,7 @@ "output_type": "stream", "text": [ "Generated histogram:\n", - "{'0000': 69, '0001': 64, '0010': 65, '0011': 71, '0100': 61, '0101': 73, '0110': 63, '0111': 66, '1000': 60, '1001': 54, '1010': 59, '1011': 71, '1100': 57, '1101': 75, '1110': 54, '1111': 62}\n" + "{'0000': 47, '0001': 57, '0010': 68, '0011': 56, '0100': 63, '0101': 76, '0110': 68, '0111': 65, '1000': 60, '1001': 61, '1010': 71, '1011': 65, '1100': 56, '1101': 70, '1110': 59, '1111': 82}\n" ] } ], @@ -216,7 +216,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -256,7 +256,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "time needed: 2.4 [s]\n" + "time needed: 3.9 [s]\n" ] } ], diff --git a/src/quantuminspire/version.py b/src/quantuminspire/version.py index 19b4f1d..96e3ce8 100644 --- a/src/quantuminspire/version.py +++ b/src/quantuminspire/version.py @@ -1 +1 @@ -__version__ = '1.3.0' +__version__ = '1.4.0'