diff --git a/Fisica Estadistica/Quiz_3.ipynb b/Fisica Estadistica/Quiz_3.ipynb index d54f5755df48f77a423d12a05b20da5dd4cd63e9..a59ebc0de267981b4279b08a5ac81433e94e79f5 100644 --- a/Fisica Estadistica/Quiz_3.ipynb +++ b/Fisica Estadistica/Quiz_3.ipynb @@ -27,7 +27,7 @@ }, { "cell_type": "code", - "execution_count": 79, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -48,7 +48,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -77,6 +77,7 @@ " <th>OmegaA</th>\n", " <th>OmegaB</th>\n", " <th>OmegaT</th>\n", + " <th>S</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", @@ -87,6 +88,7 @@ " <td>1</td>\n", " <td>5</td>\n", " <td>5</td>\n", + " <td>1.609438</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", @@ -95,6 +97,7 @@ " <td>2</td>\n", " <td>6</td>\n", " <td>12</td>\n", + " <td>2.484907</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", @@ -103,6 +106,7 @@ " <td>3</td>\n", " <td>5</td>\n", " <td>15</td>\n", + " <td>2.708050</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", @@ -111,6 +115,7 @@ " <td>4</td>\n", " <td>4</td>\n", " <td>16</td>\n", + " <td>2.772589</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", @@ -119,6 +124,7 @@ " <td>5</td>\n", " <td>3</td>\n", " <td>15</td>\n", + " <td>2.708050</td>\n", " </tr>\n", " <tr>\n", " <th>5</th>\n", @@ -127,6 +133,7 @@ " <td>6</td>\n", " <td>2</td>\n", " <td>12</td>\n", + " <td>2.484907</td>\n", " </tr>\n", " <tr>\n", " <th>6</th>\n", @@ -135,23 +142,24 @@ " <td>5</td>\n", " <td>1</td>\n", " <td>5</td>\n", + " <td>1.609438</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ - " EA EB OmegaA OmegaB OmegaT\n", - "0 2 8 1 5 5\n", - "1 3 7 2 6 12\n", - "2 4 6 3 5 15\n", - "3 5 5 4 4 16\n", - "4 6 4 5 3 15\n", - "5 7 3 6 2 12\n", - "6 8 2 5 1 5" + " EA EB OmegaA OmegaB OmegaT S\n", + "0 2 8 1 5 5 1.609438\n", + "1 3 7 2 6 12 2.484907\n", + "2 4 6 3 5 15 2.708050\n", + "3 5 5 4 4 16 2.772589\n", + "4 6 4 5 3 15 2.708050\n", + "5 7 3 6 2 12 2.484907\n", + "6 8 2 5 1 5 1.609438" ] }, - "execution_count": 56, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -194,6 +202,10 @@ "EstadosAccesibles['OmegaA'] = [NumeroEstadosSub(EstadosPermitidos, i, 'A') for i in EstadosAccesibles['EA']]\n", "EstadosAccesibles['OmegaB'] = [NumeroEstadosSub(EstadosPermitidos, i, 'B') for i in EstadosAccesibles['EB']]\n", "EstadosAccesibles['OmegaT'] = EstadosAccesibles['OmegaA'] * EstadosAccesibles['OmegaB']\n", + "\n", + "#Agregamos la entropÃa Boltzmann del sistema para cada numero de estados accesibles\n", + "Kb = 1.38064852e-23\n", + "EstadosAccesibles['S'] = np.log(EstadosAccesibles['OmegaT']) \n", "EstadosAccesibles" ] }, @@ -206,12 +218,12 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 3, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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aa68BAObMmYMzZ86grKwM169fR05ODnJycnQfrrIsN3j5ddFnzI25DkQ+9voy5DnTGM8XYzLHx9ZY71MinotDhgwBAPz+++/12rJXUFCAP/7447b7tm7dGtOnT9f9q/7yOnbs2NsunzhxolEy18ZY66+2zylTeq8QlaWxfu+5c+d0f0zp2LGj3vn27duHQ4cO4auvvgKABk+TQfpjmaJG17JlSzzzzDMAqubyqP4CUZPqN/La5tFoyG4SxtKqVSsAQEZGRqMsv/ovgXUtv3rTvpWVlW7XlLtp0aIFgLp3N8jKyqrx8sZ6zMZYblBQEF599VXs3r0beXl52LFjB7p27YqioiLMnDmzwbsXbd68GVqtFgMGDMDnn3+O4ODg23YD1Wg0Nc49Ysj6NXTMjbUO9H3swK2xvNtuJ8a6j77PGWM/X2ob079eV99jTkztsdWlsd6nqhnyXNTX+PHjYW1tjfLycnz99dd3vf3XX3+N8vJyWFlZ1Xi8DQDdFobOnTsblK2hz7PGXn+NtXx93hMMyWLI+3ZjrYPqXfzs7e3Rtm3bBt+/2ksvvYSnn34agwYNgpWVFctUE2KZoibx4osvwsnJCadOncKGDRtqvV31B3BtB2/GxcU1Rrw6Ve9D/uuvv96xC6AxVM92/vvvv9e6/P379wMAunTpctctXH9f7m+//VbrbWq7rrEes7GXq1KpMGLECN0Wz8uXL+P8+fO666s/6Or6K2H1c61Xr141Xh8dHY3S0tI7Ljdk/RpzzO+2Duqi72MH9BvLprpPbQxZV9UOHTpU63XV4109vndjSo/tbq8VQ5+zd1u+Ic9FfbVu3RovvvgigKo/9NW1vs6dO6ebtPepp56qdXfykydPQqFQGLSFAWj486yx119jLV+f14AhWQx5326sdVB98onQ0FC9D4PYuHEjkpOT8fLLL0OlUqFdu3YsU02IZYqahIeHB+bNmweg7q1T1X/N27Zt2x3X5eXl4Ztvvmm8kLWYNGkSHBwckJ2djffee6/O2+bl5TV4+ePHj4dCoUBmZiZWr159x/W5ubm6v5o2ZFeRsWPHQpIknDlzpsb1GRcXhwMHDtR438Z6zIYst66Dae3s7HT//9etmtVnPavrAPPq25w5c+aO67RaLRYuXFjj/QxZv/qOuT7roC76PvbqXHZ2dsjOzsaHH35Yr9+nz330fc4Ye11V+/7772v8K/qGDRuQlpYGpVKJcePG1WtZpvTY7vZaMfR96m7LN+S5aIhXX30VXbt2RUFBASZPnlzjsWtFRUV4+OGHUVhYiNDQUCxevLjW5SUmJqJt27YNOkNgTRr6PGvs9ddYy9fnPcGQLIa8bzfWOqjeMqXv8VKVlZV49dVX8dxzz+m2VoaGhrJMNSVDz61OVO3v80z93Y0bN3ST4VX/+/u8INUz0tva2sorV67UzSQeGxsr9+zZUzfbeF3zTNU2j8kbb7whA5BnzZpV4/VpaWm6XH/38ccf66579tlnb5v/o7CwUN69e7c8ffp0efDgwQ3OJcu3JsN0dHSUV61aZfRJe11dXeXNmzfLGo1GlmVZ3rt3r+zj41Pn5ISGPOa66LvcyZMny48++qi8e/duubCwUHd5SkqKPGzYMBmA3KZNG7myslJ33dSpU2UA8qRJk+TS0tIa8/zyyy+6PB9++KFcVlYmy3LV82HChAmyjY2Nbv6cv4+hIetXnzHXZx3UxZDHLsuy/M477+jmRvnXv/51x2SbCxculJctW2bwffR5zui7ruozaW+HDh3k6OhoWZarJlNdt26d7OTkJKOWyVTrmgepKR9bXerzWjHkfepuyzfkuajvPFPVsrOz5cDAQN18XikpKbrrkpOT5dDQUBmA7OfnV+sciNVcXFzkcePG6ZVDlvV/nhn6Wr7b55Shy69LQ98TDM2i7/t2Y60Db29vGYD83//+t973+auvvvrqjvk1X3nlFVmSJLmoqEivZVLDsEyR0dytTMnyrUJTW5kqLy/XTaQIQFapVLoZ3/38/ORVq1YJKVOyLMuvv/66bjI/ALKTk5Ps6up622UDBw5scC5ZluWioiJ50KBBuuXY2NjIzs7Oup/d3Nzko0eP1nr/2ty4cUPu3Lmzbjl2dna6N/vAwED5gw8+qPXLviGP+W70We6YMWN010mSJLu5ucl2dna6y+zt7eVff/31tvvs3btXd721tbXs4+Mj+/v7y5MnT9bdRqvVyiNHjtTdTqFQyK6urrr//+qrr2odQ0PWrz5jrs86qIshj12WZVmj0cjPPPPMba9pV1dX3WsWgPzGG28YfB9ZbvhzRt91dbcytXz5ctnDw0OXoXrCUQByRETEbeXmbsts6sdWl/q8Vgx5n7rb8g15LupTpjIyMm6bDPWvz79BgwbpbvfXx+vo6HjbfTIyMm5b5sWLF2UA8uuvv17vHH+n7/PM0Nfy3T6nDF1+XRr6nmBoFn3ftxtjHeTm5uqW5+LiUueEvV5eXnJxcfFt9y8pKZG9vb3lZ599Vj579qzu3/vvvy8D0JVxalwsU2Q09SlT+fn5uq1LtX345efny88995zs5+en+9CdM2eOfPXqVXn//v0yIKZMyXLVX2AfffRRuW3btrKdnZ1sbW0t+/r6yqNGjZI//fRT+erVqw3OVU2tVsvLli2T+/TpIzs7O8s2NjZyu3bt5Hnz5slZWVl13rcuhYWF8r/+9S85ICBAl3fu3LnytWvX5O+++67OMqXvY66Phi43KSlJfu+99+Rhw4bp7mNraysHBwfLc+bMkc+fP1/j79myZYs8YMAA2cXFpdaZ7cvLy+U33nhDbteunaxSqeQWLVrII0eOlPfu3SvLct1jaMj6beiY67sO6mLIY6+2b98+ecKECbKXl5esUqnkVq1ayZGRkfLbb78tZ2ZmGu0+DXnO6Luu7lam9u/fL1+8eFGePXu27OXlJVtbW8vt2rWTX3/99Vq36NTny35TPLa7qc9rxZD3qbstX9/noj5l6q/v93//99dM1cuu6d/ft1L99NNPMgB548aN9c7xd4Y8zwx5LdfndW6M94q6NOQ9wdAs+r5vG3sd7Nmzp9bn19//BQcH33H/xYsX13mf//3vf/XKQYaRZFnQ+W6JiIiILMTixYvxyiuv4MyZMwgODtZrGQEBAUhPT8f+/fvrPeUENU95eXlo27Ytpk2bdsdzRavV4uGHH8aCBQvw0UcfiQnYjHDSXiIiIiIDnTx5EnZ2dmjXrp3oKNQMLF68GLIsY/HixXBycrrj+hdeeIEnoWgiPJsfERERkYESExPRsWPH2+YeImoMmZmZ+PTTT/HUU0/VWKSAqnnoWKaaBl/xRERERAaoqKjAmTNnDJ6sl6g+Fi5cCK1Wi/nz59d6m6CgIGRnZ+PGjRtNmKx54jFTRERERCaAx0wRmR+WKSIiIiIiIj1wNz8iIiIiIiI98Gx+f9JqtcjKyoKTkxMkSRIdh4iIiIiIBJFlGYWFhfD29q7zxDIsU3/KysqCr6+v6BhERERERGQiLl26BB8fn1qvZ5n6U/WpJS9dugRnZ2ehWdRqNXbv3o1hw4ZBpVIJzULGwTG1TBxXy8MxtUwcV8vDMbU8pjamBQUF8PX1rfX089VYpv5UvWufs7OzSZQpe3t7ODs7m8STiQzHMbVMHFfLwzG1TBxXy8MxtTymOqZ3O/yHJ6AgIiIiIiLSA8sUERERERGRHlimiIiIiIiI9MAyRUREREREpAeWKSIiIiIiIj2wTBEREREREemBZYqIiIiIiEgPLFNERERERER6YJkiIiIiIiLSA8sUERERERGRHlimiIiIiIiI9MAyRUREREREpAeWKSIiIiIiIj2wTBEREQHQarRIP5iOvEN5SD+YDq1GKzoSERGZOLMoU4cOHcLo0aPh7e0NSZKwdevWO26TnJyMBx98EC4uLnBwcEB4eDgyMjKaPiwREZmd5M3JWBqwFGuGrkH6R+lYM3QNlgYsRfLmZNHRiIjIhJlFmSouLkbXrl3x+eef13j9+fPn0a9fP3To0AEHDhzAyZMn8dprr8HW1raJkxIRkblJ3pyMDRM3oCCz4LbLCy4XYMPEDSxURERUKyvRAepj5MiRGDlyZK3Xv/rqq7j//vvx3//+V3dZUFBQU0QjIiIzptVosXP+TkCu4UoZgATsXLATIWNCoFCaxd8fiYioCZlFmaqLVqvFzz//jH/9618YPnw4jh8/jsDAQLz88ssYO3ZsrfcrLy9HeXm57ueCgqq/SKrVaqjV6saOXafq3y86BxkPx9QycVzNX/rB9Du2SN1GBgouFeDC/gvwH+DfdMHIqPhatTwcU8tjamNa3xySLMs1/T3OZEmShC1btuiKUk5ODry8vGBvb4+3334bgwYNws6dO/HKK69g//79GDBgQI3LWbhwIRYtWnTH5WvXroW9vX1jPgQiIjIBZZfLkLM2B/m/59/1tq0fbo1WD7WCpJAaPxgREQlXUlKCqVOn4ubNm3B2dq71dmZfprKystCmTRtMmTIFa9eu1d3uwQcfhIODA9atW1fjcmraMuXr64tr167VucKaglqtxp49ezB06FCoVCqhWcg4OKaWieNqXmRZxtXTV3FmyxmkbEnB1VNXG3R/R29HhIwJQci4EPj184PCirv9mQu+Vi0Px9TymNqYFhQUoEWLFnctU2a/m1+LFi1gZWWFsLCw2y4PDQ3F4cOHa72fjY0NbGxs7rhcpVKZxAACppWFjINjapk4rqZLlmXkHM9B0qYkJG9MxvXU67rrFFYKBAwKQFZcFsryy2o+bgqAyl4FSSmhKKsIx5Ydw7Flx2Df0h4dxnZA6IRQBN4XCKVK2USPiAzB16rl4ZhaHlMZ0/pmMPsyZW1tjfDwcJw5c+a2y1NTU+Hvz/3biYiaG1kr43LMZSRtTELy5mTkp+XrrlNaKxE0LAihE0MRMjoEdu52urP5QcLtherPPfrGrRqH9g+0R9reNCRtTMKZH8+g5GoJ4r+OR/zX8bB1tUXImBCETghF0NAgWNma/UcrERHVk1m84xcVFeHcuXO6n9PS0pCQkAB3d3f4+fnhxRdfxOTJk9G/f3/dMVM//fQTDhw4IC40ERE1Ga1Gi4zDGUjelIzkzckovFyou87Kzgrt72+P0AmhCH4gGDbOt++VEDo+FA9tfAg75++87WQUzj7OGLFkBELHhwIA2t/fHu3vbw+NWoP0g+lI2pSElC0pKL5SjBMrTuDEihOwdrRG8KhghE4MRbsR7WDtYN00K4CIiIQwizIVFxeHQYMG6X5+/vnnAQCzZs1CVFQUxo0bhy+//BKLFy/GvHnzEBISgk2bNqFfv36iIhMRUSPTqDW4eOAikjclV5Wa3GLdddZOf5aaCfUrNaHjQxEyJgQX9l/A4R2H0W9kP7Qd1LbG06ErVUq0HdIWbYe0xf2f3Y9Lv1+qKlabU1CQWYBT60/h1PpTVSVu5J8lbtSdJY6IiMyfWZSpgQMH4m7nyXj00Ufx6KOPNlEiIiISobK8Ehd+vYDkTck48+MZlN4o1V1n6O52CqUC/gP8cbr4NPwH+NdrXimFUgH//v7w7++PER+PwOXYP3cv3FS1e2Hy5qotZbrdCyeEIuTBqt0LiYjI/JlFmSIiouZLXaLGuZ3nkLwpGanbU1FecOtMrNUnggibGIaAQQFCTwQhKST4RPrAJ9IHQ/87FDkJOUjelIykjUm4fuY6UrenInV7qu7EF2ETw9BhbAc4eDoIy0xERIZhmSIiIpNTXliOsz+fRfKmZJz95SzUJbcmT3TydkKH8R0QNiEMfvf61WsLUlOTJAle3b3g1d0Lg94ahKtJV6uO59qUjCsnr+DCngu4sOcCfn76Z/jd64fQCaEIHR8K5zZip+YgIqKGYZkiIiKTUJpXitSfUpG8KRnndp2Dplyju87F3wWhE0IRNiEMPr19zGryXEmS4NnRE54dPTHg9QG4fva6rlhlxWUh/WA60g+mY+e8nfDp46N7nK4BrqKjExHRXbBMERGRMMVXi3HmxzNI2piEtL1p0FZqdde5t3fXFQuvnl6QJPMpUHXxaO+Bfi/1Q7+X+iH/4p/HVW1KxqU/LiHzSCYyj2Rizz/3wKunl+7xewR7iI5NREQ1YJkiIqImVZhViOQtVQUi/WA6ZO2tEwy17NgSYRPDEDohFJ6dPC2mQNXGNcAVfZ7vgz7P97ljvWQfy0b2sWzse2UfPDt5VhWriWFo2bGlxa8XIiJzwTJFRESNLj/99i0wf50c16tH1RaY0AmhaBHSQlxIwZy8nRAxNwIRcyNQnFuMlB9TkLwpGWl705B7Khe5p3JxcNFBeAR76NaXVw/L2WJHRGSOWKaIiKhR3Dh3A0mbkpC8serYoL/y6e2jO+mCW1s3QQlNl4OnA3o+3hM9H++J0rxSnNl2BsmbknF+93lcT72Ow4sP4/Diw3ANcNUVK59I8zqWjIjIErBMERGR0VxNuqorUFdOXrl1hQT43+uP0ImhCB0XCmcfnrWuvuzc7NBtVjd0m9VNd5bDpI1JOLfjHPIv5uPIh0dw5MMjcGrjhNDxVcXKr59pnuWQiMjSsEwREZHeZFnWzaeUvCkZ11Ku6a6TlBICBwUidGIoOoztAMdWjgKTWgYbJxt0ergTOj3c6bb5t878dAaFlwsR82kMYj6NgYOnA0LGhlTNvzVQ7PxbRESWjGWKiIgaRJZlXI65rCtQeRfydNcprZVoO7QtQieEIuTBENh72AtMatlU9qqqLVHjQ1FZVokLv15A8qZkpPyYguLcYsQvj0f88njYutmiw5gOCJ0QirZD28LKhh/9RETGwndUIiK6K61Gi0t/XNIVqILMAt11VrZWaDeyHUInhCJ4VDBsXWwFJm2erGytEDwqGMGjgjFKPQoXD1xE0sYkpGxJQcnVEiREJSAhKgE2zjYIHhWM0AmhaDeiHVT2KtHRiYjMGssUERHVSFuprfpSvqnqS3nxlWLdddaO1mj/QHuETQxDu5HtYO1gLTAp/ZVSpUTQ0CAEDQ3CA188gIzDGVXFanMKCrMKkbg2EYlrE6GyV6HdyHYImxiG9g+0h42TjejoRERmh2WKiIh0NBUaXPj1ApI2JeHMj2dQer1Ud52Ni41ud7GgYUGwsuVHiKlTKBUIGBCAgAEBGLl0JDKjM3VbF/Mv5uv+X2mjRNCwIN3umXZudqKjExGZBX4SEhE1c+pSNc7vOq87kUH5zXLddfYt7KtOZDAhDIH3BUJpzRMZmCtJIcG3jy98+/hi6PtDkR2frStT11OvI/WnVKT+lAqFlQKBgwMROqHqxCEOLR1ERyciMlksU0REzVBFUQXO/lJ1iu2zv5yFulitu86xtSM6jO+AsAlh8O/vD4UVT7FtaSRJgndPb3j39MZ979yHq6evImljEpI3JSP3VC7O7zqP87vO4+enfoZ//1untHfydhIdnYjIpLBMERE1E2X5ZTjz05+Tv+46j8qySt11Ln4uVQVqYhh8+/hy8tdmRJIkeHbyhGcnTwxcOBDXU6/r5grLjs/GxQMXcfHARex4dgd8+/hWFavxoXD1dxUdnYhIOJYpIiILVnKtBCk/piB5UzIu/HoBWrVWd517O3eETqia5NW7lzckiQWKAI9gD9z78r249+V7kZeWh+TNVbsCZh7JxKU/LuHSH5ew+/nd8O7lrXv+eLT3EB2biEgIlikiIgtTlFOE5C1VX4AvHrgIWSPrrmsZ1lL3BbhVl1YsUFQnt0A39H2hL/q+0BcFmQW651XGbxnIistCVlwW9r68F626tNI9r1qGteTzioiaDZYpIiILcPPSzaotCBuTkfF7BnCrP6F1t9a3vuiGthQXksyas48zIp+NROSzkSi6UoSUrVVbPNP2peHKySu4cvIKDrxxAB4hHgibGIbQCaFo3a01ixURWTSWKSIiM3Xj/A3d2dgux1y+7bo2EW10x7a4B7kLSkiWyrGVI3o92Qu9nuyF0hulOLPtz2Pxdp/H9TPX8ds7v+G3d36Da6ArQieEImxCGNpEtOGxeERkcVimiIjMyNXkq7oClZOQc+sKCfDr51e1BWp8KFx8XcSFpGbFzt0O3WZ3Q7fZ3VBeUI7U7alI3pSMszvOIj8tH0c+OIIjHxyBs4+z7iyRvvf4QqHkWSKJyPyxTBERmTBZlnHl5BVdgbqadFV3naSUEDAwoKpAjQuFY2tHgUmJABtnG3Se2hmdp3ZGRXEFzu08h+SNyUjdnoqCzALEfBKDmE9i4NDKAR3G/Xn6/QH+UKo4fxkRmSeWKSIiEyPLMrLisnTz/uSdz9Ndp1Ap0HZIW4RNDEPIgyGwb2EvMClR7awdrBE2IQxhE8JQWVaJ83vOI3ljMs5sO4PiK8U49uUxHPvyGOzc7RAyJgRhE8MQODgQVjb8akJE5oPvWEREJkDWyrh05BKSNiYhZXMKbmbc1F1nZWuFdiPaIXRCKIJHBcPW1VZgUqKGs7K1QsjoEISMDoGmQoO0/WlI3pSMlK0pKLlagoTvEpDwXQJsnG0QPDoYoRNC0W5EO6jsVKKjExHViWWKiEgQbaUW6YfSkbQpCSlbUlCUXaS7TuWgQvADVV8q29/fHtaO1gKTEhmP0lqJdsPbod3wdnjgiweQ/lt61W6sm5NRlF2ExDWJSFyTCJWDCu3vb697Ddg42YiOTkR0B5YpIqImpKnQIG1fGpI2JeHM1jMouVaiu87GxQYho0MQOiEUQcOD+Fd5sngKKwUCBwUicFAgRn4yEplHM3W7t97MuImkH5KQ9EMSlDZVBSx0YihCRodw6ywRmQyWKSIiPWg1WqQfTEfeoTykO6Sj7aC2tZ6drLKsEud3n0fSxiSk/pSKsvwy3XV2HreOF2k7uC2U1jwQn5onSSHBt68vfPv6YtiHw5B9LBtJm5KQvDEZN87dwJltZ3Bm25mq4wYHt0XoxFB0GNPhrscNNuS1SkTUUCxTREQNlLw5GTvn70RBZgEAIP2jdDj7OGPE0hEIHR8KAKgorsDZX85WnSL657OoKKrQ3d+xtSM6jOuA0AmhCBgQAIUVv9gR/ZUkSfDu5Q3vXt4Y/O5g5CbmVhWrTcm4evoqzu08h3M7z2H7k9sRMKDqjJYdxnWAk5fTbcupz2uViMgQLFNERA2QvDkZGyZuAOTbLy+4XIANEzcgYl4ECjIKcG7HOVSWVequd/ZxrjqF+YRQ+PblHDtE9SVJElp1aYVWXVph0KJBuJZyTVesco7nIG1fGtL2peGXZ36B3z235lrLisuq87X60MaHWKiIyGAsU0RE9aTVaLFz/s47vpwB0F0WszRGd5FbWzeETghF2MQweId7Q5KkpglKZMFadGiB/q/2R/9X+yPvQp6uWF2OvoyMwxnIOJyBXc/tgkKlqP21KgE7F+xEyJgQ/mGDiAzCMkVEVE8Zv2XodheqS+fpndH3hb5o1bUVCxRRI3Jr64Z7XrwH97x4D25euomULSlI3pSM9EPp0Kq1td9RBgouFSDjtwwEDAxosrxEZHn45xgionoqzC6s1+3a398erbu1ZpEiakIuvi6InBeJ2Qdn4/4v7q/Xfer7miYiqg3LFBFRPf394HZDb0dEjaNlaMt63Y6vVSIyFMsUEVE92XvaQ1LUsbVJApx9neF3r1/ThSKiO/jd6wdnH2egjpcrX6tEZAwsU0RE9XA16SpW3rcSsvbPI9r//iXtz59HLBnBA9qJBFMoFRixdETVD7UUqrBJYXytEpHB+C5CRHQXV05eQdTAKBRfKUarrq3w4LcPwrmN8223cfZx5qmWiUxI6PhQPLTxoTteqyp7FQAgekk0Tq4+KSIaEVkQns2PiKgO2fHZWDV0FUpvlMKrpxdm7J4BO3c7dJ3ZFRf2X8DhHYfRb2Q/tB3Uln/lJjIxoeNDETIm5LbXauCAQPw852cc/+Y4tszcAk2FBt0f7S46KhGZKX7yExHV4nLMZawcvBKlN0rRJrINZv46E3budgCqdiPyH+APt/5u8B/gzyJFZKL+/lpVqpQY/dVo9Hq6FyAD2x7bhriv4kTHJCIzxU9/IqIaXPrjElYOWYmy/DL43uOLGbtnwNbVVnQsIjICSSHh/s/vR+T8SADAz0/9jOhPowWnIiJzxDJFRPQ36YfSsWrYKlQUViBgYACm75wOG2cb0bGIyIgkScLwj4ej77/6AgB2ztuJPz78Q3AqIjI3LFNERH9xYe8FrB6xGupiNdoOaYupP0+FtaO16FhE1AgkScKQ/wzBvf93LwBgzz/34Ld3fxOciojMCcsUEdGfzu08h3Wj1qGytBLtRrbDlJ+m6M78RUSWSZIk3PfWfRj45kAAwL5X9+HAwgOQZVlsMCIyCyxTREQAzvx0BuvHrEdlWSVCHgzB5C2TYWXLE54SNRcDXhuAwf8ZDAA4uOgg9v3fPhYqIrorlikiavaSNydjw/gN0FRoEDohFJN+mAQrGxYpouam37/7YdhHwwAAh989jD0v7mGhIqI6sUwRUbN26vtT+OGhH6Ct1KLTw50wcf1EKK2VomMRkSB9nuuDkZ+NBAAc+fAIds7fyUJFRLVimSKiZuvk6pPYPHUzZI2MLjO6YNzqcVBY8W2RqLmLmBuBUctHARIQ82kMfn76Z8haFioiuhO/NRBRs3T8u+PYMnMLZK2M7o91x5jvxnDiXSLS6fl4T4z5dgwgAce+OoZt/9gGrUYrOhYRmRh+cyCiZifuqzhse3QbIAO9nu6F0ctHs0gR0R26ze6G8avHQ1JISPguAT/O/hHaShYqIrqF3x6IqFmJ/jQaPz/1MwAgcn4k7v/8fkgKSXAqIjJVnad2xoT1EyAppapdg6dvhkatER2LiEwEyxQRNRt/fPgHds7bCQDo+2JfDP94OCSJRYqI6tZxUkc8tPEhKFQKnP7+NDY9vAmaChYqImKZIqJm4rfFv2HPP/cAAO599V4MeW8IixQR1VuHsR0wectkKK2VVdMpTNyAyvJK0bGISDCWKSKyaLIs48CiA9j3yj4AwMA3B+K+t+9jkSKiBgt+IBhTfpoCK1srpP6Uiu/Hfg91qVp0LCISiGWKiCyWLMvY93/7cHDhQQDA4MWDMeC1AYJTEZE5CxoWhKk/T4XKXoVzO89h3eh1qCiuEB2LiARhmSIiiyTLMvb8aw8Ov3sYADDso2Ho91I/wamIyBIE3heIaTunwdrRGml707D2/rUoLywXHYuIBGCZIiKLI8sydi7YiSMfHAEAjPxsJPo810dwKiKyJP73+mP67umwcbZB+qF0rBmxBmU3y0THIqImxjJFRBZF1sr4ec7PiPkkBpCAUV+NQsTcCNGxiMgC+fbxxYxfZ8DW1RaX/riE1cNWozSvVHQsImpCLFNEZDG0Gi22Pb4Nx748BkjAmG/HoOcTPUXHIiIL1ia8DWbumwk7DztcjrmMVUNWoeR6iehYRNREWKaIyCJoK7X4cfaPSPg2AZJCwrhV49BtdjfRsYioGfDq7oVZ+2fBvqU9suOzsfK+lSjOLRYdi4iaAMsUEZk9jVqDLTO24OTqk5CUEiasm4Au07qIjkVEzUirzq0w+8BsOLZ2xJWTV7Bi0AoU5RSJjkVEjYxliojMmqZCg00Pb8Kp9aegUCkw6YdJ6PhQR9GxiKgZahnWErMPzoZTGydcTbqKqAFRKLhcIDoWETUilikiMluV5ZXYMHEDkjcnQ2mtxOTNkxE6LlR0LCJqxjyCPTD74Gy4+Lngeup1RA2Iws2Mm6JjEVEjYZkiIrOkLlXj+7HfI/WnVFjZWuHhbQ8jeFSw6FhERHAPcsfsQ7PhGuiKvPN5iBoQhby0PNGxiKgRsEwRkdlRl6ixbvQ6nNt5Dip7Fab+PBXthrcTHYuISMfV3xWPHHoE7u3dkX8xH1H9o3Dj3A3RsYjIyFimiMisVBRVYM39a5C2Nw3WjtaYtnMaAu8LFB2LiOgOzj7OmH1wNlp0aIGCzAJ81/87XEu5JjoWERkRyxQRmY3ygnKsHr4a6QfTYeNsg+m7psP/Xn/RsYiIauXk5YRZB2bBs5MnirKLEDUwCrmnckXHIiIjMYsydejQIYwePRre3t6QJAlbt26t9bZPPfUUJEnCkiVLmiwfETW+0rxSrBq6Cpf+uARbV1vM+HUGfPv6io5FRHRXjq0cMWv/LLTu1hrFV4qxYtAK5JzIER2LiIzALMpUcXExunbtis8//7zO223ZsgVHjx6Ft7d3EyUjoqZQcr0Eq4aswuWYy7Bzt8PMfTPRJryN6FhERPVm38IeM/fOhHcvb5RcK8GKQSuQdSxLdCwiMpBZlKmRI0fi7bffxrhx42q9zeXLl/Hss89izZo1UKlUTZiOiBpT8dVirLxvJbLjs2Hf0h6zDsyCV3cv0bGIiBrMzt0OM36dAZ/ePijLK8PKwSuRGZ0pOhYRGcBKdABj0Gq1mDFjBl588UV07Fi/yTrLy8tRXl6u+7mgoGpSPbVaDbVa3Sg566v694vOQcbDMdVPUU4R1g5fi2vJ1+DQ2gFTd06Fewd3k1mPHFfLwzG1TKY0rkp7JSb/PBnfP/g9Mn/PxKqhqzD5p8ncbbmBTGlMyThMbUzrm0OSZVlu5CxGJUkStmzZgrFjx+ouW7x4Mfbv349du3ZBkiQEBARgwYIFWLBgQa3LWbhwIRYtWnTH5WvXroW9vX0jJCeihqi4XoHzr51HeVY5VB4qBL0ZBNs2tqJjEREZhaZMg7R30lCUWASFrQKBrwbCqbOT6FhE9KeSkhJMnToVN2/ehLOzc623M/stU8eOHcPSpUsRHx8PSZLqfb+XX34Zzz//vO7ngoIC+Pr6YtiwYXWusKagVquxZ88eDB06lLssWgiOacPczLiJtcPXojyrHM5+zpi2axrcgtxEx7oDx9XycEwtk6mOq3qEGhsnbUTanjSkv5uOSZsnIXAwp3qoD1MdU9KfqY1p9V5rd2P2Zeq3335Dbm4u/Pz8dJdpNBq88MILWLJkCS5evFjj/WxsbGBjY3PH5SqVyiQGEDCtLGQcHNO7y0vLw5oha5B/MR+uga6YtW8WXANcRceqE8fV8nBMLZOpjavKRYWp26Ziw4QNOPvLWWwYuwGTt0xG+5HtRUczG6Y2pmQ4UxnT+mYwixNQ1GXGjBk4efIkEhISdP+8vb3x4osvYteuXaLjEVED3Dh3A1EDopB/MR/u7d0x++Bsky9SRESGsLK1wkObH0LImBBoyjX4fuz3OLPtjOhYRFRPZrFlqqioCOfOndP9nJaWhoSEBLi7u8PPzw8eHh633V6lUqF169YICQlp6qhEpKdrKdew4r4VKMouQosOLTBz70w4efP4ASKyfFY2Vpj0wyRsnrYZST8kYcOEDZiwfgLCJoSJjkZEd2EWW6bi4uLQvXt3dO/eHQDw/PPPo3v37nj99dcFJyMiY8g9nYuogVEoyi6CZydPzDowi0WKiJoVpUqJCWsnoPPUztBWarFx8kacWn9KdCwiuguz2DI1cOBANOSkg7UdJ0VEpifnRA5WDVmFkmslaN2tNWbsmQH7FjyjJhE1PworBcauHAuFSoETK05g87TN0Kg16Dqjq+hoRFQLs9gyRUSWKetYFlYMWoGSayXw7uWNmXtnskgRUbOmUCow5tsx6PF4D8haGVtnbcXxb4+LjkVEtWCZIiIhMqMzsXLwSpTllcGntw9m/DoDdu52omMREQknKSSM+nIUwueGAzKw7bFtiPsyTnQsIqoByxQRNbmM3zOwaugqlN8sh18/P0zfNR22LpyQl4iomqSQMPLTkYhcEAkA+PnpnxH9SbTgVET0dyxTRNSkLh64iNXDV6OisAIBgwIwbcc02DjfOecbEVFzJ0kShn80HPf8+x4AwM75O/HHB38ITkVEf8UyRURN5sKvF7Dm/jVQF6vRdmhbTN0+FdaO1qJjERGZLEmSMHjxYPR/rT8AYM+Le3DonUOCUxFRNZYpImoS53aew9pRa1FZWon297fHlG1ToLIXP8M5EZGpkyQJg94chEFvDQIA7P+//dj/xv4GnemYiBoHyxQRNbozP53B+jHroSnXIGRMCB7a/BCsbM1iZgYiIpPR///6Y8h7QwAAh948hH2v7mOhIhKMZYqIGlXSpiRsGL8BmgoNwiaGYdIPk2BlwyJFRKSPe/51D4Z/PBwAcHjxYez+524WKiKBWKaIqNGcWn8KGydvhLZSi85TO2PCuglQqpSiYxERmbXeC3rj/s/vBwAc/egodszbwUJFJAjLFBE1ihOrTmDztM2QNTK6zuqKsSvHQmHFtxwiImMInxOO0V+PBiQg9rNYbH9qO2QtCxVRU+M3GyIyuuPfHsfWWVsha2V0/0d3jPl2DBRKvt0QERlTj3/0wNiosZAUEuKXx2PbY9ug1WhFxyJqVvjthoiMKu7LOGx7bBsgA73m9MLor0ZDUkiiYxERWaSuM7ti3KpxkJQSEqISsHXWVmgrWaiImgrLFBEZTfQn0fj56Z8BAJELInH/Z/ezSBERNbLOUztj4vqJUFgpkLgmEZunbYZGrREdi6hZYJkiIqP444M/sHP+TgBA33/1xfCPhkOSWKSIiJpC2MQwTNo4CQqVAqc3nMbGyRuhqWChImpsLFNEZLDf3v0Ne17cAwDo/1p/DPnPEBYpIqIm1mFMBzy89WEobZRI2ZKCDRM2oLKsUnQsIovGMkVEepNlGQcWHsC+V/cBAAa+ORCD3hzEIkVEJEj7+9tjyk9TYGVrhdTtqVg/dj3UpWrRsYgsFssUEelFlmXse3UfDi46CAAY8t4QDHhtgOBUREQUNDQIU3+ZCpW9Cud3nce6UetQUVwhOhaRRWKZIqIGk2UZu/+5G4cXHwYADP94OO751z2CUxERUbXAQYGYvms6rB2tkbYvDWtGrkF5YbnoWEQWh2WKiBpElmXsmLcDRz86CgAY+dlI9F7QW3AqIiL6O79+fpixZwZsnG2Q8VsGVg9fjbKbZaJjEVkUlikiqjdZK2P7U9sR+1ksIAGjlo9CxNwI0bGIiKgWPr19MHPvTNi62SLzSCZWDV2F0rxS0bGILAbLFBHVi1ajxbbHtiF+eTwgAWO+G4Oej/cUHYuIiO7Cu5c3Zu2bBTsPO2TFZmHl4JUouV4iOhaRRWCZIqK70lZqsXXWViREJUBSShi/ejy6zeomOhYREdVT626tMfvAbDh4OiDneA5WDFqB4txi0bGIzB7LFBHVSaPWYPO0zUhckwiFlQIT1k1A56mdRcciIqIG8uzkidkHZ8PRyxG5ibmIGhiFwuxC0bGIzBrLFBHVSlOhwcbJG3F6w2koVApM2jgJHSd1FB2LiIj01KJDC8w+OBvOPs64lnwNKwauQMHlAtGxiMwWyxQR1aiyrBIbJmxAypYUKG2UeHjrw+gwpoPoWEREZCCP9h6YfWg2XPxdcD31OqL6RyE/PV90LCKzxDJFRHdQl6qxfux6pG5PhZWtFaZsm4L297cXHYuIiIzELdANsw/OhltbN+RdyEPUgCjkXcgTHYvI7LBMEdFtKoorsG7UOpzfdR4qexWm/jwVQcOCRMciIiIjc/V3xeyDs+ER7IGb6TcRNSAK189eFx2LyKywTBGRTnlhOdaMXIO0fWmwdrTGtJ3TEHhfoOhYRETUSJx9nDHrwCy0CG2BgswCRA2IwrWUa6JjEZkNlikiAgCU3SzD6uGrkfFbBmycbTB993T43+svOhYRETUyJy8nzD4wG56dPVGUXYSoAVHIPZUrOhaRWWCZIiKU5pVi1dBVyDySCVtXW8zcOxO+fXxFxyIioibi4OmAWftnoXX31ijOLUbUwCjkJOSIjkVk8limiJq5kuslWDl4JbJis2DnYYdZ+2fBu5e36FhERNTE7D3sMXPvTHiHe6P0eilW3LcCWXFZomMRmTSWKaJmrDi3GCsGrUDO8Rw4eDpg9oHZaN2ttehYREQkiJ2bHWbsmQGfPj4oyyvDysErkXk0U3QsIpPFMkXUTBVmFyJqYBRyE3Ph6OWIWQdmwbOTp+hYREQkmK2LLabvmg7//v4oLyjHqqGrkHE4Q3QsIpPEMkXUDBVcLsCKgStwLfkanH2cMfvgbLQMbSk6FhERmQgbJxtM/WUqAu8LREVRBVYPX42LBy6KjkVkclimiJqZ/PR8RPWPwvXU63Dxc6maY6S9h+hYRERkYqwdrDFl+xQEDQuCukSNNfevwfk950XHIjIpLFNEzUhe2q1Z7t3aumH2odlwa+smOhYREZkolZ0KD//4MNo/0B6VpZVYN3odzv5yVnQsIpPBMkXUTFw/ex1R/aNwM/0m3Nu7Y/bB2XD1dxUdi4iITJyVrRUmb56MDuM6QFOuwfqx65HyY4roWEQmgWWKqBm4lnINUQOiUJBZgBahLTD74Gw4+ziLjkVERGZCaa3ExO8nouNDHaFVa/HDxB+QtDFJdCwi4VimiCxc7qlcRA2IQlF2ETw7e2L2gdlw8nISHYuIiMyMUqXE+DXj0XlaZ2grtdj48EYkrksUHYtIKJYpIguWk5CDqIFRKM4tRuturTFr3yw4eDqIjkVERGZKYaXA2BVj0W12N8gaGVumb8GJlSdExyIShmWKyEJlxWVhxX0rUHq9FN7h3pi5bybsW9iLjkVERGZOoVTgwf89iB5P9ICslbF19lbE/y9edCwiIVimiCxQ5tFMrBy8EmV5ZfDp44MZe2bAzs1OdCwiIrIQkkLCqC9HIfyZcEAGfvrHT4hdFis6FlGTY5kisjAZhzOwaugqlBeUw+9eP0zfNR22LraiYxERkYWRJAkjPxmJ3s/3BgD8MucXHF16VHAqoqbFMkVkQS4euIjVw1ejoqgCAYMCMG3HNNg42YiORUREFkqSJAz7YBjueekeAMCuBbvw+/u/C05F1HRYpogsxPk957Hm/jVQl6gRNCwIU7dPhbWDtehYRERk4SRJwuB3B2PAGwMAAL/+61ccevuQ4FRETYNlisgCnP3lLNaNXofK0kq0f6A9Hv7xYajsVaJjERFRMyFJEgYuHIhBbw8CAOx/bT/2v74fsiwLTkbUuFimiMxcyo8pWD92PTTlGnQY2wGTN0+Gla2V6FhERNQM9X+1P4a+PxQAcOitQ9j7yl4WKrJoLFNEZixpYxJ+mPgDtGotwiaFYeKGiVBaK0XHIiKiZqzvP/tixNIRAIDf//M7dr+wm4WKLBbLFJGZSlyXiI0Pb4S2UovOUztjwtoJUKpYpIiISLzIeZG4/4v7AQBHPz6KHc/ugKxloSLLwzJFZIYSViRgy/QtkDUyus3uhrErx0JhxZczERGZjvCnwzH6m9GABMR+HovtT21noSKLw29fRGYm/pt4/PjIj5C1Mno83gMP/u9BKJR8KRMRkenp8VgPjF0xFpJCQvzX8dj22DZoNVrRsYiMht/AiMxI7LJY/PT4T4AMhM8Nx6gvR0FSSKJjERER1arrjK4Yv2Y8JKWEhKgEbJ25FdpKFiqyDCxTRGbi6NKj+GXOLwCA3s/1xshPR7JIERGRWej0cCdM/H4iFFYKJK5NxKapm6BRa0THIjIYyxSRGfj9/d+xa8EuAMA9L92DYR8OgySxSBERkfkImxCGhzY9BKW1Ekk/JGHjQxuhqWChIvPGMkVk4g69fQi//utXAED/1/tj8LuDWaSIiMgshTwYgslbJ0Npo0TK1hR8P/57VJZVio5FpDeWKSITJcsy9r++H/tf2w8AGPT2IAxaNIhFioiIzFr7ke0xdftUWNlZ4ezPZ7F+zHqoS9WiYxHphWWKyATJsoy9L+/FobcOAQCG/HcI+r/aX3AqIiIi42g7pC2m7ZgGlYMK53efx9oH1qKiuEJ0LKIGY5kiMjGyLGP3C7vx+3u/AwCGLxmOe168R3AqIiIi4woYEIDpu6bD2skaF/dfxJqRa1BeWC46FlGDsEwRmRBZK2PHsztw9OOjAID7v7gfvef3FpyKiIiocfjd44cZe2bAxsUGGb9lYPXw1Si7WSY6FlG9sUwRmQhZK2P7U9sR+3ksIAGjvxmN8KfDRcciIiJqVD6RPpi5dyZs3WyReSQTq4asQmleqehYRPXCMkVkArQaLbY9tg3xX8dDUkgYGzUWPR7rIToWERFRk/Du6Y1Z+2fBvoU9suKysPK+lSi5ViI6FtFdsUwRCaat1GLrzK1IiEqApJQwbvU4dJ3ZVXQsIiKiJtW6a2vMOjALDq0ckJOQgxX3rUBxbrHoWER1YpkiEkij1mDT1E1IXJsIhZUCE7+fiM5TOouORUREJIRnR0/MPjAbjl6OyE3MRdTAKBRmF4qORVQrlikiQSrLK7HxoY1I+iEJCpUCD216CGETwkTHIiIiEqpFhxZ45NAjcPZ1xrXka4gaEIWCzALRsYhqxDJFJEBlWSU2TNiAlK0pUNoo8fDWhxHyYIjoWERERCbBvZ07Zh+cDRd/F9w4ewNRA6KQn54vOhbRHVimiBqZVqNF+sF05B3KQ/rBdJQXlmP9mPU4+/NZWNlZYcpPU9D+/vaiYxIREZkUt0A3PHLoEbgFuSHvQh6i+kch70LeHZ+rWo1WdFRqxqxEB6iPQ4cO4f3338exY8eQnZ2NLVu2YOzYsQAAtVqN//u//8Mvv/yCCxcuwMXFBUOGDMF//vMfeHt7iw1OzV7y5mTsnL9Tt3tC+kfpUNoooSnXQOWgwtTtUxEwMEBsSCIiIhPl4ueC2QdnY+V9K3E99TqWhy+HlbUVinKKAFR9rjr7OGPE0hEIHR8qOC01R2axZaq4uBhdu3bF559/fsd1JSUliI+Px2uvvYb4+Hhs3rwZZ86cwYMPPiggKdEtyZuTsWHihjv289aUawAA/V7uxyJFRER0F85tnDH74Gw4+zij7EaZrkhVK7hcgA0TNyB5c7KghNScmcWWqZEjR2LkyJE1Xufi4oI9e/bcdtlnn32GiIgIZGRkwM/PrykiEt1Gq9Fi5/ydgFz7bY59dQz9XuoHhdIs/qZBREQkjH1Le2i1tezOJwOQgJ0LdiJkTAg/V6lJmUWZaqibN29CkiS4urrWepvy8nKUl5frfi4oqNp6oFaroVarGztinap/v+gcpL/0g+l3PfNQwaUCXNh/Af4D/JsoFRkbX6uWh2NqmTiu5i/9YDqKsopqv4HMz1VzZ2qv0/rmsLgyVVZWhn//+9+YMmUKnJ2da73d4sWLsWjRojsu3717N+zt7RszYr39fYsbmY+8Q3n1ut3hHYdxuvh0I6ehxsbXquXhmFomjqv54udq82Eqr9OSkpJ63c6iypRarcZDDz0EWZaxbNmyOm/78ssv4/nnn9f9XFBQAF9fXwwbNqzOEtYU1Go19uzZg6FDh0KlUgnNQvpJd0hH+kfpd71dv5H9+Bc0M8bXquXhmFomjqv54+eq5TO112n1Xmt3YzFlqrpIpaenY9++fXctRDY2NrCxsbnjcpVKZRIDCJhWFmqYtoPawtnHGQWXC2o+bkoCnH2c0XZQW+7bbQH4WrU8HFPLxHE1X/xcbT5M5XVa3wwW8WyrLlJnz57Fr7/+Cg8PD9GRqJlTKBUYsXRErW/4ADBiyQi+4RMREdWD7nMV0H2O/h0/V0kEs3jGFRUVISEhAQkJCQCAtLQ0JCQkICMjA2q1GhMnTkRcXBzWrFkDjUaDnJwc5OTkoKKiQmxwataCRwfD1t32jsudfZzx0MaHOB8GERFRA4SOD8VDGx+Cc5s79z4a/vFwfq6SEGaxm19cXBwGDRqk+7n6WKdZs2Zh4cKF2LZtGwCgW7dut91v//79GDhwYFPFJLpN8qZklN0og31Lezy44kEc+fUI+o3sx10QiIiI9BQ6PhQhY0JwYf8FHN5xGJpoDTJ/z8S15Guio1EzZRZlauDAgZDl2ifsqes6IhFkWcbRj48CAMLnhqPtkLZIqUiB/wB/FikiIiIDKJQK+A/wx+ni0+j0QCesHrwaJ1aewH3v3Ad7D9M4IzM1H/xWR9QIMo9m4nLMZSitlQh/Olx0HCIiIovk288XXj28UFlaiWPLj4mOQ80QyxRRI6jeKtV5Wmc4eDoITkNERGSZJElC5IJIAEDsZ7HQVGgEJ6LmhmWKyMjy0/ORvCkZANB7QW/BaYiIiCxbp8md4NjaEYVZhUjamCQ6DjUzLFNERhbzWQxkrYzA+wLRqksr0XGIiIgsmtJaifC5VbvUH/34KI+lpybFMkVkRBVFFYj/Oh4A0Ps5bpUiIiJqCj2f7AkrWytkxWXh0h+XRMehZoRlisiIEqISUH6zHO7t3dH+/vai4xARETULDi0d0Hl6ZwC3jlsmagosU0RGImtlRC+NBgBEzo+EpKhlinYiIiIyuurjlFO2pCD/Yr7YMNRssEwRGUnqz6m4ce4GbF1t0W1WN9FxiIiImhXPjp5oO7Rt1R83P40WHYeaCZYpIiOJXlL1xt3j8R6wdrQWnIaIiKj5qT5e+fg3x1FeWC44DTUHLFNERpBzIgdp+9IgKSVEPBMhOg4REVGz1G54O3iEeKC8oBwJ3yWIjkPNAMsUkRFUHysVNiEMLn4ugtMQERE1T5JC0h07Ff1JNLQareBEZOlYpogMVHSlCIlrEgFANws7ERERidFlRhfYutki73weUrenio5DFo5lishAcV/GQVOhQZuINvDp7SM6DhERUbNm7WCNnk/0BHDreGaixsIyRWSAyrJKxH0RB6DqoFdJ4unQiYiIRIt4JgKSUsLFAxeRk5AjOg5ZMJYpIgOcWn8KxbnFcPZxRuiEUNFxiIiICICzjzM6TuoIADi6hJP4UuNhmSLSkyzLulnWw58Jh1KlFJyIiIiIqlWfJv3UulMoyikSnIYsFcsUkZ4uHriIKyevQGWvQs/He4qOQ0RERH/RJqINfPr4QFOhQeyyWNFxyEKxTBHpqfqg1q6zusLO3U5wGiIiIvq76q1TccviUFlWKTgNWSKWKSI93Dh3A2d+OgMAiJzP06ETERGZotBxoXDxc0HJ1RIkrk0UHYcsEMsUkR6iP4kGZKD9/e3RIqSF6DhERERUA4WVAhHPRgCoOhGFLMuCE5GlYZkiaqCy/DIc//Y4AE7SS0REZOp6/KMHVA4q5CbmIm1fmug4ZGFYpogaKP5/8VAXq9GyY0u0HdJWdBwiIiKqg62rLbo90g0AJ/El42OZImoAbaUWMZ/EAAB6L+AkvUREROYgcl4kIAGp21NxPfW66DhkQVimiBogZWsKbmbchH0Le3Se1ll0HCIiIqoHj/YeCB4VDODP456JjIRliqgBqifp7flUT6jsVILTEBERUX31XlB1mvSE7xJQmlcqOA1ZCpYponq6HHMZl/64BIVKgfA54aLjEBERUQMEDApAqy6toC5RI/6beNFxyEKwTBHV09ElVVulOj3cCU5eToLTEBERUUNIkqQ7C2/MpzHQVmoFJyJLwDJFVA8FmQVI+iEJwK3dBIiIiMi8dJ7SGQ6eDii4VIDkzcmi45AFYJkiqoeYz6v+guXf3x9ePbxExyEiIiI9WNlaodfTvQDcOg6ayBAsU0R3oS5R49hXxwBwkl4iIiJz1+vpXlBaK5F5NBOZRzNFxyEzxzJFdBcnVp5AWV4ZXANdEfJgiOg4REREZADHVo7oPLVqepPq46GJ9MUyRVQHWSsjemnVfBSR8yKhUPIlQ0REZO6q9zRJ2piEm5duCk5D5ozfDInqcG7XOVxLuQZrJ2t0f7S76DhERERkBK27tkbAoADIGhkxn8WIjkNmjGWKqA7RS6q2SnV/rDtsnG0EpyEiIiJjqT47b/zyeFQUVwhOQ+aKZYqoFrmnc3F+93lICgmR83jiCSIiIksSPCoYbkFuKMsvw4mVJ0THITPFMkVUi+pjpULGhMAt0E1wGiIiIjImSSEhcn7VH0ujl0RD1sqCE5E5YpkiqkHJtRKcXHUSAND7OU7SS0REZIm6P9IdNi42uJ56Hed2nhMdh8wQyxRRDeK+ikNlWSW8enjBr5+f6DhERETUCKwdrdHjHz0AcBJf0o/RylRkZCTOnz9vrMURCaOp0CD281gAVVulJEkSnIiIiIgaS8SzEZAUEi78egG5p3JFxyEzY7QyFRsbi+vXrxtrcUTCnN5wGkXZRXD0ckTHhzqKjkNERESNyNXfFaHjQwFwEl9qOO7mR/QXsizrNvOHzw2H0lopOBERERE1turjo0+uPoniq8WC05A5MWqZ4u5QZO4yDmcgOz4bVrZW6PVkL9FxiIiIqAn49PGBd7g3NOUaxH0ZJzoOmRGjlql//OMfePTRR/HRRx9h165duHz5sjEXT9Toqifp7TKjC+xb2AtOQ0RERE1BkiTd1qm4L+JQWV4pOBGZCytjLszT0xPHjx/HunXrUF5eDkmS4OzsjLCwMHTq1AkdO3bU/bdVq1bG/NVEBstLy0PK1hQA0M07QURERM1D2MQw7HlxDwovF+L096fRdWZX0ZHIDBi1TL3zzjuIiIiAVqvFuXPncPr0aZw+fRqnTp3CH3/8gaioKKjVakiSBI1GY8xfTWSwmE9jIGtlBA0LgmdHT9FxiIiIqAkpVUpEPBOBvS/vxdElR9FlRhcewkJ3ZdQyVU2hUCA4OBjBwcEYN26c7vLKykqcOXMGSUlJjfFrifRWXlCO+G/iAQCRC7hVioiIqDnq8XgPHHzzIHKO5yD9UDoCBgSIjkQmrknP5mdlZYWOHTti0qRJTflrie7q+HfHUVFYAY8QD7Qb3k50HCIiIhLA3sNet3tf9XHURHUxWpk6dOgQ2rXjl1AyP1qNFtFLq94wey/oDUnBTfpERETNVfVx0yk/puDG+RuC05CpM1qZ6tevH9zd3Wu87saNG8jIyDDWryIyqtSfUpGflg9bN1t0mdFFdBwiIiISqGVoS7Qb0Q6Qq46nJqqL3mWqoKAAH3zwAe677z60bt0atra28PLyQmRkJN58801cvHhRd9sXXngBbdu2NUZeIqOrnqS355M9Ye1gLTgNERERiVZ9mvTj/zuOsptlgtOQKdOrTP34449o27Yt/v3vf+PAgQPIzc1FRUUFrly5gtjYWCxatAhhYWF48803IcsyAOj+S2RKsuOzkX4oHQorBSLmRoiOQ0RERCag7dC2aBnWEhVFFTj+7XHRcciENbhMbdiwARMmTMCNGzcwYsQIrFixAvHx8Th79izi4uLw7bff4oEHHkBFRQUWLVqESZMmoby8vDGyExms+lipsElhcPZxFpyGiIiITIEkSbqz+8Z8EgOtRis4EZmqBp0aPTs7G48++ihsbW2xfv16jBo16o7b9OjRA7Nnz8bx48cxefJkbNmyhefoJ5NUmF2IxHWJAKpOPEFERERUrcv0Ltj78l7kX8zHmR/PIHR8qOhIZIIatGVqyZIlKC0txVdffVVjkfqr7t27Iz4+Hn369IFWyzZPpiduWRy0ai18+/qiTUQb0XGIiIjIhKjsVOj1VC8AwNElRwWnIVPVoDK1Y8cO+Pr6Ytq0afW6vaOjI3744Qd4enrqFY6osahL1YhbFgeAk/QSERFRzcLnhEOhUiDjtwxkHcsSHYdMUIPKVHp6Onr16tWgX+Dl5YWcnBxoNJoG3Y+oMSWuTUTJtRK4+LkgdBw32xMREdGdnLyd0GlyJwCcxJdq1qAypdFooFQqGysLUZOQZVl3OvSIZyOgsDLadGtERERkYar3YDm1/hQKswoFpyFT06BvkT4+Pjh58mSDfkFhYSH69OmDoKCgBt2PqLGk7U3D1dNXoXJQocc/eoiOQ0RERCbMu6c3/O71g7ZSi9gvYkXHIRPToDI1ePBgpKamYvfu3fW6vSzLmD17NqKjo2+bxJdIpOqtUt0e6QZbV1vBaYiIiMjUVZ/1N+7LOKhL1YLTkClpUJmaP38+lEolZsyYgePH657ALDs7GwMHDsTWrVsNyUdkVNfOXMPZX84CEhA5jyeeICIiorsLGRMC1wBXlF4vxcnVDdtLiyxbg8pUcHAwFi9ejKtXr6JPnz545plncPjwYRQUFECWZeTn5+PQoUN47rnn0KFDBxw+fBiRkZEYPXp0Y+UnapDqSXqDRwXDo72H4DRERERkDhRKBSLmRQCoOhGFLMuCE5GpaPCR9y+88AI++ugjyLKMZcuWYcCAAXBzc4OVlRU8PDwwaNAgLF26FIWFhZg5cyZ+/fVXuLu7N0Z2ogYpvVGKEytOAAB6P8dJeomIiKj+ejzWA9ZO1riadBUX9lwQHYdMhF6nMVuwYAGSkpLw9NNPIyAgALIs6/65ublh+vTpOHToEL777jvY29uzvZNJOPb1MahL1GjVpRUCBgaIjkNERERmxMbZBt0f7Q7g1vHXRFb63jEoKAifffYZAKC0tBT5+flwcXGBvb39Hbd9+eWX8cgjj+ifkshAGrUGsZ9VnYEnckEkJEkSnIiIiIjMTcSzEYj+JBrndp7D1eSraBnaUnQkEswoE+zY2dnBy8urxiIFACEhIRgwYIAxfhWRXpI3JaMgswAOng7oPKWz6DhERERkhtyD3NFhTAcAt47DpubNLGYrPXToEEaPHg1vb29IknTHGQJlWcbrr78OLy8v2NnZYciQITh79qyYsGSSji6p2hzf6+lesLLVe4MsERERNXPVk/ieWHkCJddLBKch0cyiTBUXF6Nr1674/PPPa7z+v//9Lz755BN8+eWXiI6OhoODA4YPH46ysrImTkqm6NKRS7gcfRlKayV6Pd1LdBwiIiIyY/79/dG6e2tUllbi2PJjouOQYGZRpkaOHIm3334b48aNu+M6WZaxZMkS/N///R/GjBmDLl26YOXKlcjKyuIcVwSg6hSmANB5amc4tnIUnIaIiIjMmSRJukl8Yz+LhUatEZyIRDL7/Z3S0tKQk5ODIUOG6C5zcXFBZGQkjhw5gocffrjG+5WXl6O8vFz3c0FBAQBArVZDrRY7s3X17xedwxLczLiJpE1JAICec3sKW6ccU8vEcbU8HFPLxHG1PKLHNHh8MBz+7YDCrEIkrktExykdheSwJKLH9O/qm8Psy1ROTg4AoFWrVrdd3qpVK911NVm8eDEWLVp0x+W7d++u9UQaTW3Pnj2iI5i9rKgsyBoZjp0dcezyMeCy2DwcU8vEcbU8HFPLxHG1PCLH1GmQE4rXFWP3W7tx0fkizxRsJKbyOi0pqd/xcGZfpvT18ssv4/nnn9f9XFBQAF9fXwwbNgzOzs4Ck1U14T179mDo0KFQqVRCs5iziqIKfDa76vT9IxeNRPv72wvLwjG1TBxXy8MxtUwcV8tjCmNaHF6MzzZ/htJzpejq3hU+fXyE5LAUpjCmf1W919rdmH2Zat26NQDgypUr8PLy0l1+5coVdOvWrdb72djYwMbG5o7LVSqVSQwgYFpZzNHxtcdRll8G93buCB0TCkkh/i9GHFPLxHG1PBxTy8RxtTwix9TV2xVdpnfB8f8dR9yncQjsHygkh6UxlddpfTOYxQko6hIYGIjWrVtj7969ussKCgoQHR2NPn36CExGIslaWTf/Q+T8SJMoUkRERGRZqk9Ekbw5Gfnp+WLDkBBmUaaKioqQkJCAhIQEAFUnnUhISEBGRgYkScKCBQvw9ttvY9u2bUhMTMTMmTPh7e2NsWPHCs1N4pz95SxunL0BGxcbdJvdTXQcIiIiskCenTzRdkhbyFoZMZ/GiI5DAphFmYqLi0P37t3RvXt3AMDzzz+P7t274/XXXwcA/Otf/8Kzzz6LJ554AuHh4SgqKsLOnTtha2srMjYJVD1Jb4/He8Da0VpwGiIiIrJUvZ+r2joV/008ygvL73JrsjRmcczUwIEDIctyrddLkoQ333wTb775ZhOmIlN15eQVpO1Ng6SQEPFMhOg4REREZMHajWgHjxAPXD9zHQlRCYh8NlJ0JGpCZrFliqghji6t2ioVOiEUrv6uYsMQERGRRZMUEiLnVxWo6KXRkLW1bwAgy8MyRRalOLcYiWsSAdw6KJSIiIioMXWd2RW2brbIO5+H1O2pouNQE2KZIosS92UcNOUatIlow/keiIiIqElYO1ij5xM9Adw6bpuaB5YpshiV5ZWI/SIWABC5IJIzkRMREVGTCZ8bDkkp4eL+i8hJyBEdh5oIyxRZjFPrT6H4SjGc2jghbGKY6DhERETUjLj4uui+f1TPdUmWj2WKLIIsyzj6cdVm9YhnIqBUKQUnIiIiouam+jTpiWsTUZRTJDgNNQWWKbII6QfTceXEFVjZWen2WSYiIiJqSj6RPvDp7QNNhQZxX8aJjkNNgGWKLEL1Vqmus7rCzt1OcBoiIiJqrqq3TsV+EYvKskrBaaixsUyR2btx7gbO/HQGANB7Pk+HTkREROKEjg+Fs68zSq6WIHFdoug41MhYpsjsRX8SDchAu5Ht0KJDC9FxiIiIqBlTWCkQ8WwEgKo9Z2SZk/haMpYpMmtl+WU4/u1xAJykl4iIiExDj3/0gMpehdzEXFzcf1F0HGpELFNk1o5/exzqYjVahrVE26FtRcchIiIigp2bHbo90g0AJ/G1dCxTZLa0ldqqXfzASXqJiIjItETOiwQApG5PxfWz1wWnocbCMkVmK+XHFNxMvwk7Dzt0md5FdBwiIiIiHY9gDwSPCgZk6P74S5aHZYrMVvXp0Hs91QsqO5XgNERERES3i1xQtXUq4bsElOWXCU5DjYFliszS5djLuPT7JShUCoTPCRcdh4iIiOgOgfcFwrOzJ9TFasR/Ey86DjUClikyS9FLqjaXd5rcCU7eToLTEBEREd1JkiTd2YZjPo2BtlIrOBEZG8sUmZ2CywU4veE0gFubz4mIiIhMUeepnWHf0h43M24ieUuy6DhkZCxTZHZiP4+FtlILv3v94N3TW3QcIiIiolpZ2Vqh19O9ANw63pssB8sUmRV1iRrHvjoGAOj9HCfpJSIiItMX/nQ4lNZKZB7JRGZ0pug4ZEQsU2RWTqw6gdIbpXANcEXIgyGi4xARERHdlWNrR3Sa0gnAreO+yTKwTJHZkLWy7g0oYl4EFEo+fYmIiMg8VJ+I4vQPp1GQWSA4DRkLv42S2Ti/+zyupVyDtZM1ejzWQ3QcIiIionpr3a01AgYGQNbIiPksRnQcMhKWKTIbR5dUHbTZ/dHusHG2EZyGiIiIqGGqz0J8bPkxVBRXCE5DxsAyRWbhatJVnN91HpCAyHk8HToRERGZn+BRwXALckNZXhlOrDwhOg4ZAcsUmYWjS6u2SnUY0wFubd0EpyEiIiJqOIVSofujcPTSaMhaWXAiMhTLFJm8kmslOLnyJACeDp2IiIjMW7dHusHG2QbXz1zHuZ3nRMchA7FMkck7tvwYKssq0bp7a/jd6yc6DhEREZHebJxs0P0f3QHcOh6czBfLFJk0TYVGd8ab3s/1hiRJghMRERERGSby2UhICgkX9lxA7qlc0XHIACxTZNJO/3AaRdlFVZPdTe4kOg4RERGRwVwDXNFhXAcAt44LJ/PEMkUmS5ZvTdIbPjccSmul4ERERERExlF9HPjJVSdRfLVYcBrSF8sUmaxLv19CVlwWlDZK9Hyyp+g4REREREbj29cX3r28oSnX4NhXx0THIT2xTJHJqj4os8uMLnBo6SA4DREREZHxSJKk2zoV+3ksNBUawYlIHyxTZJLy0vKQsiUFANB7Pk+HTkRERJYnbGIYnLydUJRThFPfnxIdh/TAMkUmKeazGMhaGW2HtoVnJ0/RcYiIiIiMTmmtRPgz4QCAox8fhSxzEl9zwzJFJqe8sBzHvzkOAOi9gFuliIiIyHL1fKInrOyskHM8Bxm/ZYiOQw3EMkUmJ+G7BJQXlMMjxAPtRrQTHYeIiIio0dh72KPrzK4AOImvOWKZIpOi1WgRvbTqdOiR86smtCMiIiKyZJHzIwEAKVtTkHchT3AaagiWKTIpqdtTkXchD7Zutrq/0hARERFZspahLav2xpGB6E+jRcehBmCZIpNy9OOqzds9n+gJawdrwWmIiIiImkbkgqqtU8f/dxzlBeWC01B9sUyRycg+no30g+mQlBLC54aLjkNERETUZIKGBaFFaAtUFFbg+LfHRcehemKZIpMRvaRqs3bHSR3h4usiOA0RERFR05EkSXcW4+hPoqHVaAUnovpgmSKTUJRThMR1iQBubeYmIiIiak66TO8CO3c75Kfl48y2M6LjUD2wTJFJiP0iFlq1Fj59fOAT6SM6DhEREVGTU9mr0POpngBuHUdOpo1lioSrLKtE3LI4AJykl4iIiJq38DnhUFgpkPFbBrKOZYmOQ3fBMkXCnVxzEiXXSuDs64zQ8aGi4xAREREJ49zGGR0ndwRw63hyMl0sUySULMu6N4qIZyOgsOJTkoiIiJq36j11Tn1/CoVZhYLTUF34zZWEStuXhtxTuVA5qNDjHz1ExyEiIiISzruXN/z6+UGr1iJ2WazoOFQHlikSqvrgym6zu8HOzU5wGiIiIiLTUH1242NfHoO6VC04DdWGZYqEuZ56HWd/PgsAiJzP06ETERERVeswtgNcA1xRcq0EiWsSRcehWrBMkTBHl1ZtlQoeFQyP9h6C0xARERGZDoVSgYhnIwAAR5cchSzLghNRTVimSIjSvFKciDoBAOj9HE+HTkRERPR33R/rDmtHa1w9fRUXfr0gOg7VgGWKhIj/Oh7qEjVadWmFgEEBouMQERERmRxbF1t0e7QbAE7ia6pYpqjJadQaxHwaA6Dq4EpJkgQnIiIiIjJNkfMiAQk4t+McrqVcEx2H/oZlippc8uZkFGQWwMHTAZ2ndBYdh4iIiMhkuQe5I+TBEAC3jjcn08EyRU2uepLeXk/3gpWtleA0RERERKat+vjyEytOoPRGqeA09FcsU9SkMo9mIvNoJpTWSvR6qpfoOEREREQmz7+/P1p3a43K0kocW35MdBz6C5YpalJHl1Rtnu40pRMcWzsKTkNERERk+iRJ0k3iG/NZDDRqjeBEVI1liprMzYybSNqYBADovYCnQyciIiKqr04Pd4JDKwcUXi7UfZ8i8VimqMnEfB4DWSMjYGAAWndrLToOERERkdmwsrFC+JxwAFWnSeckvqaBZYqaREVRBeKXxwPgJL1ERERE+uj1VC8obZTIis1C5pFM0XEILFPURE6sPIGy/DK4Bbmh/QPtRcchIiIiMjsOng7oPK1qWpnq49BJLJYpanSyVta94CPnR0Kh5NOOiIiISB/Vx50nb0pGfnq+2DDEMkWN7+yOs7hx9gZsnG3QbXY30XGIiIiIzFarzq0QODgQslZGzGcxouM0eyxT1OiOfly1VarH4z1g42QjOA0RERGReas+/jz+63hUFFUITtO8WUSZ0mg0eO211xAYGAg7OzsEBQXhrbfe4llOTMCVxCtI25sGSSEh4pkI0XGIiIiIzF77ke3hEeyB8pvlSIhKEB2nWbOIMvXee+9h2bJl+Oyzz5CcnIz33nsP//3vf/Hpp5+KjtbsRS+NBgCEjg+Fa4Cr2DBEREREFkBSSIicXzWJb/TSaMhabkAQxSLK1B9//IExY8bggQceQEBAACZOnIhhw4YhJob7kYpUnFuMk6tPAoBu1m4iIiIiMlzXmV1h62qLG+duIPXnVNFxmi2LKFN9+/bF3r17kZpa9UQ6ceIEDh8+jJEjRwpO1rzFfRUHTbkG3uHe8O3rKzoOERERkcWwdrRGjyd6AACil0QLTtN8WYkOYAwvvfQSCgoK0KFDByiVSmg0GrzzzjuYNm1arfcpLy9HeXm57ueCggIAgFqthlqtbvTMdan+/aJzGKKyvBKxn8cCAMKfCUdlZaXgRGJZwpjSnTiulodjapk4rpaHY1qlx5M9cOTDI0jbl4bMuEy06tpKdCS9mdqY1jeHJFvAWRrWr1+PF198Ee+//z46duyIhIQELFiwAB999BFmzZpV430WLlyIRYsW3XH52rVrYW9v39iRLd6N/TeQsTQDKncVwpaHQbKSREciIiIisjgXP7iI/MP5cB/sDr9n/UTHsRglJSWYOnUqbt68CWdn51pvZxFlytfXFy+99BLmzp2ru+ztt9/G6tWrkZKSUuN9atoy5evri2vXrtW5wpqCWq3Gnj17MHToUKhUKqFZ9CHLMr6N+BZXTlzBwLcGou+/+4qOJJy5jynVjONqeTimlonjank4prdcjr6MFfeugNJaibnn58KxlaPoSHoxtTEtKChAixYt7lqmLGI3v5KSEigUtx/+pVQqodVqa72PjY0NbGzunPNIpVKZxAACppWlIS4evIgrJ67Ays4K4U+Hm+VjaCzmOqZUN46r5eGYWiaOq+XhmAIB/QLg09sHmUczceJ/JzDwjYGiIxnEVMa0vhks4gQUo0ePxjvvvIOff/4ZFy9exJYtW/DRRx9h3LhxoqM1S9WT9Had2RX2HtxlkoiIiKgxVZ81Oe6LOFSWNe/j1JuaRZSpTz/9FBMnTsScOXMQGhqKf/7zn3jyySfx1ltviY7W7Nw4fwNntp0BAN38B0RERETUeELHh8LZxxnFucU4tf6U6DjNikWUKScnJyxZsgTp6ekoLS3F+fPn8fbbb8Pa2lp0tGYn+pNoQAbajWiHlqEtRcchIiIisnhKlRIRz0YAqNpDyAJOiWA2LKJMkWkou1mGhG8TAHCSXiIiIqKm1OPxHlDZq3Dl5BVcPHBRdJxmg2WKjOb4/46joqgCLUJbIGhYkOg4RERERM2GnZsdus7uCuDW8evU+FimyCi0ldqqXfwA9F7QG5LEeaWIiIiImlLkvKo9g1K3p+L62euC0zQPLFNkFCk/puBm+k3Yedihy4wuouMQERERNTstQlqg/QPtARm6P3JT42KZIqOIXlL1gu35ZE+o7MTPDUBERETUHPVe0BsAkPBdAsryywSnsXwsU2SwrLgsZBzOgMJKgYi5EaLjEBERETVbgYMD4dnJE+piNeK/iRcdx+KxTJHBji6pOsix4+SOcPJ2EpyGiIiIqPmSJEl3VuWYT2OgrdQKTmTZWKbIIIVZhTj9/WkAQO/negtOQ0RERERdpnWBfQt73My4iZStKaLjWDSWKTJIzOdVf/Hw6+cH757eouMQERERNXtWtlbo9XQvADxNemNjmSK9qUvUOPbVMQDcKkVERERkSsLnhEOhUuDSH5dwOeay6DgWi2WK9HZy9UmUXi+Fa4ArQsaEiI5DRERERH9ybO2IzlM6A7h1fDsZH8sU6UWWZd0LM2JeBBRKPpWIiIiITEn1iSiSfkhCQWaB4DSWid+ASS/nd5/HteRrsHa0RvdHu4uOQ0RERER/49XdC/4D/KGt1CLm8xjRcSwSyxTppXqS3u6PdYeti63gNERERERUk+rj2o99dQzqErXgNJaHZYoa7GryVZzbeQ6QgIhnOUkvERERkakKHhUMt7ZuKMsrw4mVJ0THsTgsU9Rg0UurtkqFPBgC9yB3wWmIiIiIqDYKpQIR86r++B29NBqyVhacyLKwTFGDlFwv0f1Vg6dDJyIiIjJ93R/tDhtnG1xLuYZzu86JjmNRWKaoQY4tP4bK0kq07tYa/v39RcchIiIioruwcbJB98eqThhWfdw7GQfLFNWbpkKD2M9iAVRtlZIkSXAiIiIiIqqPiGcjICkknN99Hrmnc0XHsRgsU1RvSRuTUJhVCIdWDug4uaPoOERERERUT26BbugwtgOAW8e/k+FYpqheZFnG0Y+rJukNnxsOKxsrwYmIiIiIqCGqj3c/ueokSq6VCE5jGVimqF4u/XEJWXFZUNoo0evJXqLjEBEREVED+d7jC6+eXqgsq0TcV3Gi41gElimql+qtUl2md4GDp4PgNERERETUUJIk6bZOxX4eC02FRnAi88cyRXeVfzEfKVtSAACR8yMFpyEiIiIifXWc1BGOXo4oyi7C6Q2nRccxeyxTdFfRn1ZN8NZ2SFu06txKdBwiIiIi0pPSWomIZ6om8T368VHIMifxNQTLFNWpvLAcx785DgCIXMCtUkRERETmrucTPWFla4Xs+GxkHM4QHcessUxRnRKiElBeUA6PYA+0H9ledBwiIiIiMpB9C3t0mdkFACfxNRTLFNVKq9Hq5iGInB8JScFJeomIiIgsQe/5VSeiSNmagry0PMFpzBfLFNXq7M9nkXc+D7autug6q6voOERERERkJC3DWiJoeBBkrYyYT2NExzFbLFNUq+rTofd4ogesHawFpyEiIiIiY+q9oGrrVPw38SgvKBecxjyxTFGNchJycPHARUhKSXfGFyIiIiKyHEHDg9AitAUqCitw/LvjouOYJZYpqtHRJVVbpcImhsHF10VwGiIiIiIyNkmSdHOIRi+NhlajFZzI/LBM0R2Kcopwat0pALc2/xIRERGR5ek6oyvs3O2Qn5aP1J9SRccxOyxTdIfYZbHQVGjg09sHPr19RMchIiIiokaisleh55M9Adw6Xp7qj2WKblNZVom4ZXEAOEkvERERUXMQPjccCisF0g+lIzs+W3Qcs8IyRbdJXJuIkqslcPZ1RtiEMNFxiIiIiKiRObdxRseHOgK4ddw81Q/LFOnIsqx7AUU8EwGFFZ8eRERERM1B9R5Jp9afQmF2oeA05oPflkknbV8achNzobJXocfjPUTHISIiIqIm0ia8DXzv8YVWrUXsF7Gi45gNlinSiV4SDQDoOrsr7NzsBKchIiIioqZUfRbnY18eg7pULTiNeWCZIgDA9dTrSN1edTrM3vN5OnQiIiKi5qbD2A5w8XdBybUSJK5JFB3HLLBMEQAg+pOqrVLtH2gPj2APwWmIiIiIqKkprBSIeDYCQNWJKGRZFpzI9LFMEUrzSpHwXQIAoPdz3CpFRERE1Fz1+EcPWDta4+rpq7jw6wXRcUweyxQh/pt4qEvU8OzsicD7AkXHISIiIiJBbF1s0e2RbgBuHU9PtWOZaua0lVrEfBoDoOqgQ0mSBCciIiIiIpEi50UCEnD2l7O4duaa6DgmjWWqmUvenIyCSwWwb2mPzlM7i45DRERERIK5t3NHyOgQAED0Um6dqgvLVDNXPUlvr6d7wcrWSnAaIiIiIjIF1cfRn1hxAqU3SgWnMV0sU81YZnQmMo9kQmmtRPjT4aLjEBEREZGJ8B/gj1ZdW0Fdosaxr4+JjmOyWKaaseqDCjtN6QTH1o6C0xARERGRqZAkSbd1KvazWGjUGsGJTBPLVDN189JNnP7hNAAgcn6k4DREREREZGo6PdwJDp4OKMgsQPKmZNFxTBLLVDMV+3ksZI0M/wH+8OruJToOEREREZkYKxsr9JrTC8Ct4+zpdixTzVBFcQWOLa/a95WT9BIRERFRbcKfDofSWonL0Zdx6cgl0XFMDstUM3Ri5QmU5ZXBra0bgkcFi45DRERERCbKwdMBnadVTZ/DSXzvxDLVzMhaWfdCiJwfCYWSTwEiIiIiql3vBVV7MiVtSsLNjJuC05gWfpNuZs7tPIfrqddh42yDbo90Ex2HiIiIiExcqy6tEHhfIGSNjJjPYkTHMSksU83M0Y+rDh7s/o/usHGyEZyGiIiIiMxB9XH2x5YfQ0VRheA0poNlqhnJPZWLC79egKSQEPksT4dORERERPXT/v72cG/vjvKb5UhYkSA6jslgmWpGqk9p2WFcB7gGuIoNQ0RERERmQ1JIurlJo5dGQ9bKghOZBpapZqL4ajFOrj4J4NZBhERERERE9dVtVjfYutrixtkbOPvLWdFxTALLVDMR92UcNOUaePfyhu89vqLjEBEREZGZsXa0Ro/HewC4dRx+c8cy1QxUllci7os4AEDkgkhIkiQ4ERERERGZo4hnIiApJaTtS8OVk1dExxGOZaoZOP39aRTlFMHJ2wkdJ3UUHYeIiIiIzJSLnwvCJoQBuHU8fnPGMmXhZFnWPdHD54ZDaa0UnIiIiIiIzFnkgqoTUSSuSURxbrHgNGKxTFm4jN8ykHM8B1a2Vuj5ZE/RcYiIiIjIzPn28UWbyDbQVGgQ92Wc6DhCsUxZuOqDA7vM7AJ7D3vBaYiIiIjIElSfHTr2i1hUllcKTiMOy5QFy7uQh5QfUwAAvefzdOhEREREZByhE0Lh7OOM4ivFOLX+lOg4wrBMWbDoT6IBGQgaHoSWYS1FxyEiIiIiC6FUKRH+TDiAqj2hZLl5TuJrMWXq8uXLmD59Ojw8PGBnZ4fOnTsjLq757sNZXlCO498eB8BJeomIiIjI+Ho+3hMqexWunLiC9IPpouMIYRFlKi8vD/fccw9UKhV27NiBpKQkfPjhh3BzcxMdTZj4/8WjorACLUJbIGh4kOg4RERERGRh7Nzt0HVWVwDNdxJfK9EBjOG9996Dr68vvvvuO91lgYGBAhOJpdVoEfNJDAAgcj4n6SUiIiKixhE5PxJxy+Jw5qczuHHuBtzbuYuO1KQsokxt27YNw4cPx6RJk3Dw4EG0adMGc+bMweOPP17rfcrLy1FeXq77uaCgAACgVquhVqsbPXNdqn+/vjlStqQg/2I+7NztEPZwmPDHQ4aPKZkmjqvl4ZhaJo6r5eGYmg6Xti4IGhmE8zvO48iSIxj28TC9lmNqY1rfHJJsAUeL2draAgCef/55TJo0CbGxsZg/fz6+/PJLzJo1q8b7LFy4EIsWLbrj8rVr18Le3rxPIX72lbMoTiqG5wRPeM/wFh2HiIiIiCxYYUIhzi88D4WtAmHfhMHK0fy315SUlGDq1Km4efMmnJ2da72dRZQpa2tr9OrVC3/88Yfusnnz5iE2NhZHjhyp8T41bZny9fXFtWvX6lxhTUGtVmPPnj0YOnQoVCpVg+6bHZ+N73p/B4WVAnPPzoVTG6dGSkkNYciYkuniuFoejqll4rhaHo6paZFlGV93/xrXkq5h8HuDEflcZIOXYWpjWlBQgBYtWty1TJl/bQTg5eWFsLCw2y4LDQ3Fpk2bar2PjY0NbGxs7rhcpVKZxAAC+mU59tkxAEDHhzrCPaB57bNqDkzp+UXGw3G1PBxTy8RxtTwcU9PR57k++OnxnxD3RRz6Pt8XCiv9znNnKmNa3wwWcTa/e+65B2fOnLntstTUVPj7+wtKJEZhVqFu0rTez/F06ERERETUNDpP6wz7Fva4mX4TKVtTRMdpMhZRpp577jkcPXoU7777Ls6dO4e1a9di+fLlmDt3ruhoTSr2i1hoK7XwvccX3r14rBQRERERNQ2VnQo9n+oJADi6pPmcJt0iylR4eDi2bNmCdevWoVOnTnjrrbewZMkSTJs2TXS0JqMuVSPuy6pJirlVioiIiIiaWviccChUClz6/RIux14WHadJWESZAoBRo0YhMTERZWVlSE5OrvO06Jbo5OqTKL1eChd/F3QY00F0HCIiIiJqZpy8nNDp4U4AgOgl0YLTNA2LKVPNmSzLuids5LxIvQ/4IyIiIiIyRO8FVXtInd5wGgWXCwSnaXz81m0BLuy5gKtJV2HtaI3uj3UXHYeIiIiImimvHl7w7+8PbaUWsZ/Hio7T6FimLED1QX7dHu0GWxdbwWmIiIiIqDmrPn7/2FfHoC5RC07TuFimzNzV5Ks4t+McIFXt4kdEREREJFLw6GC4tXVD6Y1SnFh1QnScRsUyZeaiP6k6VirkwRC4B3GSXiIiIiISS6FUIGJeBICqE1HIWllwosbDMmXGSq6X4MSKqrZffbAfEREREZFo3R/pDmsna1xLuYbzu8+LjtNoWKbMWPzX8agsrUSrrq3gP8BfdBwiIiIiIgCAjbON7sRoljyJL8uUmdKoNYj5LAZA1UF+kiQJTkREREREdEvkvEhICgnnd53H1aSrouM0CpYpM5W0MQmFlwvh0MpBNzkaEREREZGpcAt0Q8iYEADA0aWWuXWKZcoMybKMox9XPSHD54TDysZKcCIiIiIiojtVnyb95MqTKLlWIjiN8bFMmaHMI5nIis2C0kaJXk/1Eh2HiIiIiKhGfv384NXDC5VllTi2/JjoOEbHMmWGqrdKdZ7WGQ6eDoLTEBERERHVTJIk3dapmM9ioKnQCE5kXCxTZiY/PR/Jm5MB8HToRERERGT6Oj7UEY5ejijKLsLpH06LjmNULFNmJubTGMhaGYGDA9GqcyvRcYiIiIiI6qS0ViJ8bjiAqj2sZNlyJvFlmTIj5YXliP8mHgC3ShERERGR+ej1ZC9Y2Voh+1g2Lv1+SXQco2GZMiMJUQkov1kO9/buaH9/e9FxiIiIiIjqxb6FPbrM6ALg1vH/loBlykzIWhnRS6MBAJHzqyZAIyIiIiIyF5HzIwEAKVtTkJeWJziNcbBMmYnU7anIO58HW1dbdJvVTXQcIiIiIqIG8ezoiaBhQZC1MmI+jREdxyhYpszE0SVVm0N7PN4D1o7WgtMQERERETVc5IKqrVPx38SjvKBccBrDsUyZgZwTObi4/yIkpYSIZyJExyEiIiIi0ku74e3QokMLVBRWICEqQXQcg7FMmYHoJVXHSoVNCIOLn4vgNERERERE+pEUku7Yqeil0dBqtIITGYZlysQVXSlC4tpEANDNHk1EREREZK66zuwKWzdb5F3IQ+r2VNFxDMIyZeLilsVBU6FBm8g28OntIzoOEREREZFBVPYq9HyyJwDzP006y5QJqyyrRNyyOACcpJeIiIiILEfE3AgorBRIP5iO7OPZouPojWXKhJ3+/jSKc4vh7OOM0AmhouMQERERERmFs48zwiaFAbh1fgBzxDJlomRZRuwnsQCA8GfCoVQpBSciIiIiIjKe6j2vEtcloiinSHAa/bBMmRitRlu1uXNNNnITc2FlZ4Wej/cUHYuIiIiIyKjaRLSBb19faNVa7Ht5H/IO5SH9YLpZneHPSnQAuiV5czJ2zt+JgswC3WWSQsLFAxcROp67+RERERGRZfHp44NLf1zCqTWnAADpH6XD2ccZI5aOMIvvv9wyZSKSNydjw8QNtxUpAFCXqLFh4gYkb04WlIyIiIiIyPiSNyfjyEdH7ri84HKB2Xz/ZZkyAVqNFjvn7wTkGq7887KdC3aa1SZPIiIiIqLaWMr3X5YpE5DxW8YdW6RuIwMFlwqQ8VtG04UiIiIiImoklvL9l2XKBBRmFxr1dkREREREpsxSvv+yTJkAJy8no96OiIiIiMiUWcr3X5YpE+B3rx+cfZwBqZYbSICzrzP87vVr0lxERERERI3BUr7/skyZAIVSgRFLR1T98Pcn1J8/j1gyAgolh4uIiIiIzJ+lfP817XTNSOj4UDy08SE4t3G+7XJnH2c8tPEhszjPPhERERFRfVnC919O2mtCQseHImRMCC7sv4DDOw6j38h+aDuorck3ciIiIiIifZj791/zSNmMKJQK+A/wh1t/N/gP8DebJxIRERERkT7M+fuv+SQlIiIiIiIyISxTREREREREemCZIiIiIiIi0gPLFBERERERkR5YpoiIiIiIiPTAMkVERERERKQHlikiIiIiIiI9sEwRERERERHpgWWKiIiIiIhIDyxTREREREREemCZIiIiIiIi0gPLFBERERERkR5YpoiIiIiIiPRgJTqAqZBlGQBQUFAgOAmgVqtRUlKCgoICqFQq0XHICDimlonjank4ppaJ42p5OKaWx9TGtLoTVHeE2rBM/amwsBAA4OvrKzgJERERERGZgsLCQri4uNR6vSTfrW41E1qtFllZWXBycoIkSUKzFBQUwNfXF5cuXYKzs7PQLGQcHFPLxHG1PBxTy8RxtTwcU8tjamMqyzIKCwvh7e0NhaL2I6O4ZepPCoUCPj4+omPcxtnZ2SSeTGQ8HFPLxHG1PBxTy8RxtTwcU8tjSmNa1xapajwBBRERERERkR5YpoiIiIiIiPTAMmWCbGxs8MYbb8DGxkZ0FDISjqll4rhaHo6pZeK4Wh6OqeUx1zHlCSiIiIiIiIj0wC1TREREREREemCZIiIiIiIi0gPLFBERERERkR5YpoiIiIiIiPTAMmUiFi9ejPDwcDg5OcHT0xNjx47FmTNnRMciAy1btgxdunTRTUDXp08f7NixQ3QsMqL//Oc/kCQJCxYsEB2FDLBw4UJIknTbvw4dOoiORQa6fPkypk+fDg8PD9jZ2aFz586Ii4sTHYsMEBAQcMdrVZIkzJ07V3Q00pNGo8Frr72GwMBA2NnZISgoCG+99RbM5Rx5VqIDUJWDBw9i7ty5CA8PR2VlJV555RUMGzYMSUlJcHBwEB2P9OTj44P//Oc/aN++PWRZxooVKzBmzBgcP34cHTt2FB2PDBQbG4uvvvoKXbp0ER2FjKBjx4749ddfdT9bWfEj0pzl5eXhnnvuwaBBg7Bjxw60bNkSZ8+ehZubm+hoZIDY2FhoNBrdz6dOncLQoUMxadIkganIEO+99x6WLVuGFStWoGPHjoiLi8MjjzwCFxcXzJs3T3S8u+Kp0U3U1atX4enpiYMHD6J///6i45ARubu74/3338djjz0mOgoZoKioCD169MAXX3yBt99+G926dcOSJUtExyI9LVy4EFu3bkVCQoLoKGQkL730En7//Xf89ttvoqNQI1qwYAG2b9+Os2fPQpIk0XFID6NGjUKrVq3wv//9T3fZhAkTYGdnh9WrVwtMVj/czc9E3bx5E0DVF2+yDBqNBuvXr0dxcTH69OkjOg4ZaO7cuXjggQcwZMgQ0VHISM6ePQtvb2+0bdsW06ZNQ0ZGhuhIZIBt27ahV69emDRpEjw9PdG9e3d8/fXXomOREVVUVGD16tV49NFHWaTMWN++fbF3716kpqYCAE6cOIHDhw9j5MiRgpPVD/dhMEFarRYLFizAPffcg06dOomOQwZKTExEnz59UFZWBkdHR2zZsgVhYWGiY5EB1q9fj/j4eMTGxoqOQkYSGRmJqKgohISEIDs7G4sWLcK9996LU6dOwcnJSXQ80sOFCxewbNkyPP/883jllVcQGxuLefPmwdraGrNmzRIdj4xg69atyM/Px+zZs0VHIQO89NJLKCgoQIcOHaBUKqHRaPDOO+9g2rRpoqPVC8uUCZo7dy5OnTqFw4cPi45CRhASEoKEhATcvHkTGzduxKxZs3Dw4EEWKjN16dIlzJ8/H3v27IGtra3oOGQkf/0LaJcuXRAZGQl/f39s2LCBu+SaKa1Wi169euHdd98FAHTv3h2nTp3Cl19+yTJlIf73v/9h5MiR8Pb2Fh2FDLBhwwasWbMGa9euRceOHZGQkIAFCxbA29vbLF6rLFMm5plnnsH27dtx6NAh+Pj4iI5DRmBtbY127doBAHr27InY2FgsXboUX331leBkpI9jx44hNzcXPXr00F2m0Whw6NAhfPbZZygvL4dSqRSYkIzB1dUVwcHBOHfunOgopCcvL687/mgVGhqKTZs2CUpExpSeno5ff/0VmzdvFh2FDPTiiy/ipZdewsMPPwwA6Ny5M9LT07F48WKWKao/WZbx7LPPYsuWLThw4AACAwNFR6JGotVqUV5eLjoG6Wnw4MFITEy87bJHHnkEHTp0wL///W8WKQtRVFSE8+fPY8aMGaKjkJ7uueeeO6YYSU1Nhb+/v6BEZEzfffcdPD098cADD4iOQgYqKSmBQnH7aRyUSiW0Wq2gRA3DMmUi5s6di7Vr1+LHH3+Ek5MTcnJyAAAuLi6ws7MTnI709fLLL2PkyJHw8/NDYWEh1q5diwMHDmDXrl2io5GenJyc7jiW0cHBAR4eHjzG0Yz985//xOjRo+Hv74+srCy88cYbUCqVmDJliuhopKfnnnsOffv2xbvvvouHHnoIMTExWL58OZYvXy46GhlIq9Xiu+++w6xZsziFgQUYPXo03nnnHfj5+aFjx444fvw4PvroIzz66KOio9ULn4EmYtmyZQCAgQMH3nb5d999xwMrzVhubi5mzpyJ7OxsuLi4oEuXLti1axeGDh0qOhoR/UVmZiamTJmC69evo2XLlujXrx+OHj2Kli1bio5GegoPD8eWLVvw8ssv480330RgYCCWLFliNge1U+1+/fVXZGRkmM2Xbarbp59+itdeew1z5sxBbm4uvL298eSTT+L1118XHa1eOM8UERERERGRHjjPFBERERERkR5YpoiIiIiIiPTAMkVERERERKQHlikiIiIiIiI9sEwRERERERHpgWWKiIiIiIhIDyxTREREREREemCZIiIiIiIi0gPLFBERERERkR5YpoiIqFlZsGABJEmq859SqURBQYHoqEREZOKsRAcgIiJqSidOnAAAjBo1Ch4eHjXepkWLFnB2dm7KWEREZIYkWZZl0SGIiIiairu7O/Ly8pCTk4NWrVqJjkNERGaMu/kREVGzkZGRgby8PLi7u7NIERGRwVimiIio2UhISAAAhIaGig1CREQWgWWKiIiajerjpcLCwgQnISIiS8AyRUREzUb1limWKSIiMgaWKSIiajaqt0w999xztZ4W/ZVXXqnxvhqNBsHBwZAkCdnZ2U0Zm4iITBRPjU5ERM1CYWEhLly4AEmSMHPmzFpvN3r06BovX7FiBc6ePQsASEpKgpeXV6PkJCIi88EyRUREzcLJkychyzICAwMRFRXVoPuq1Wq89dZbGDhwIA4ePIikpCQMHjy4cYISEZHZ4G5+RETULFQfL9WtW7cG3/ebb77BxYsX8cEHH8DPzw+nT582bjgiIjJLLFNERNQsVB8v1bVr1wbdr6ysDO+88w7Gjh2Lnj17okOHDkhKSmqMiEREZGZYpoiIqFmo3jLV0DL15ZdfIisrC2+++SaAqjmqWKaIiAj4/3buGDWRMIzj8N8L2KaxsRBs0ieVeIiIna2lF7CwE1KI3sQb5BAhhTdQEEXBVGG2CAnsZlPkY7ObuM9TOXwz8LY/ZnzFFAD/gaenp9zf3yf5WEydTqdMp9P0er1cXl4mSdrtdrbbbdbr9afMCsD3YQEFAGdvtVrl8fExSTKZTN697+rqKsPh8PV6sVhks9lkNBplv98nSRqNRpLnjX4XFxefNzQAX56YAuDsvfxfKnlecf6eVqv1+vtwOOT29jZVVeX6+vrNvQ8PD+l2u392UAC+FTEFwNnr9/vp9/sfemY2m+V4PGa5XKZer/90dnNzY6MfAKlVVVX96yEA4CvZ7XZpNpsZDAaZz+dvzjudTmq1Wu7u7v7+cAB8GRZQAMAvXj7vG4/Hvz230Q+AxJspAACAIt5MAQAAFBBTAAAABcQUAABAATEFAABQQEwBAAAUEFMAAAAFxBQAAEABMQUAAFBATAEAABQQUwAAAAXEFAAAQAExBQAAUOAHM0l8kmstrTYAAAAASUVORK5CYII=", "text/plain": [ "<Figure size 1000x600 with 1 Axes>" ] @@ -234,109 +246,403 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Tablas para $\\LaTeX$:" + "Entonces, el par de energÃas $(E_A,E_B)$ con más número de estados accesibles cuya energÃa total sea 10 es aquel que maximiza $\\Omega_T(E_A,E_B) = \\Omega_T(E_A)$, es decir, el estado de equilibrio termodinámico" ] }, { "cell_type": "code", - "execution_count": 80, + "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "\\begin{tabular}{rllrrr}\n", - "\\hline\n", - " & A & B & EA & EB & ET \\\\\n", - "\\hline\n", - " 11 & [1, 1] & [2, 6] & 2 & 8 & 10 \\\\\n", - " 16 & [1, 1] & [3, 5] & 2 & 8 & 10 \\\\\n", - " 21 & [1, 1] & [4, 4] & 2 & 8 & 10 \\\\\n", - " 26 & [1, 1] & [5, 3] & 2 & 8 & 10 \\\\\n", - " 31 & [1, 1] & [6, 2] & 2 & 8 & 10 \\\\\n", - " 41 & [1, 2] & [1, 6] & 3 & 7 & 10 \\\\\n", - " 46 & [1, 2] & [2, 5] & 3 & 7 & 10 \\\\\n", - " 51 & [1, 2] & [3, 4] & 3 & 7 & 10 \\\\\n", - " 56 & [1, 2] & [4, 3] & 3 & 7 & 10 \\\\\n", - " 61 & [1, 2] & [5, 2] & 3 & 7 & 10 \\\\\n", - " 66 & [1, 2] & [6, 1] & 3 & 7 & 10 \\\\\n", - " 76 & [1, 3] & [1, 5] & 4 & 6 & 10 \\\\\n", - " 81 & [1, 3] & [2, 4] & 4 & 6 & 10 \\\\\n", - " 86 & [1, 3] & [3, 3] & 4 & 6 & 10 \\\\\n", - " 91 & [1, 3] & [4, 2] & 4 & 6 & 10 \\\\\n", - " 96 & [1, 3] & [5, 1] & 4 & 6 & 10 \\\\\n", - " 111 & [1, 4] & [1, 4] & 5 & 5 & 10 \\\\\n", - " 116 & [1, 4] & [2, 3] & 5 & 5 & 10 \\\\\n", - " 121 & [1, 4] & [3, 2] & 5 & 5 & 10 \\\\\n", - " 126 & [1, 4] & [4, 1] & 5 & 5 & 10 \\\\\n", - " 146 & [1, 5] & [1, 3] & 6 & 4 & 10 \\\\\n", - " 151 & [1, 5] & [2, 2] & 6 & 4 & 10 \\\\\n", - " 156 & [1, 5] & [3, 1] & 6 & 4 & 10 \\\\\n", - " 181 & [1, 6] & [1, 2] & 7 & 3 & 10 \\\\\n", - " 186 & [1, 6] & [2, 1] & 7 & 3 & 10 \\\\\n", - " 221 & [2, 1] & [1, 6] & 3 & 7 & 10 \\\\\n", - " 226 & [2, 1] & [2, 5] & 3 & 7 & 10 \\\\\n", - " 231 & [2, 1] & [3, 4] & 3 & 7 & 10 \\\\\n", - " 236 & [2, 1] & [4, 3] & 3 & 7 & 10 \\\\\n", - " 241 & [2, 1] & [5, 2] & 3 & 7 & 10 \\\\\n", - " 246 & [2, 1] & [6, 1] & 3 & 7 & 10 \\\\\n", - " 256 & [2, 2] & [1, 5] & 4 & 6 & 10 \\\\\n", - " 261 & [2, 2] & [2, 4] & 4 & 6 & 10 \\\\\n", - " 266 & [2, 2] & [3, 3] & 4 & 6 & 10 \\\\\n", - " 271 & [2, 2] & [4, 2] & 4 & 6 & 10 \\\\\n", - " 276 & [2, 2] & [5, 1] & 4 & 6 & 10 \\\\\n", - " 291 & [2, 3] & [1, 4] & 5 & 5 & 10 \\\\\n", - " 296 & [2, 3] & [2, 3] & 5 & 5 & 10 \\\\\n", - " 301 & [2, 3] & [3, 2] & 5 & 5 & 10 \\\\\n", - " 306 & [2, 3] & [4, 1] & 5 & 5 & 10 \\\\\n", - " 326 & [2, 4] & [1, 3] & 6 & 4 & 10 \\\\\n", - " 331 & [2, 4] & [2, 2] & 6 & 4 & 10 \\\\\n", - " 336 & [2, 4] & [3, 1] & 6 & 4 & 10 \\\\\n", - " 361 & [2, 5] & [1, 2] & 7 & 3 & 10 \\\\\n", - " 366 & [2, 5] & [2, 1] & 7 & 3 & 10 \\\\\n", - " 396 & [2, 6] & [1, 1] & 8 & 2 & 10 \\\\\n", - " 436 & [3, 1] & [1, 5] & 4 & 6 & 10 \\\\\n", - " 441 & [3, 1] & [2, 4] & 4 & 6 & 10 \\\\\n", - " 446 & [3, 1] & [3, 3] & 4 & 6 & 10 \\\\\n", - " 451 & [3, 1] & [4, 2] & 4 & 6 & 10 \\\\\n", - " 456 & [3, 1] & [5, 1] & 4 & 6 & 10 \\\\\n", - " 471 & [3, 2] & [1, 4] & 5 & 5 & 10 \\\\\n", - " 476 & [3, 2] & [2, 3] & 5 & 5 & 10 \\\\\n", - " 481 & [3, 2] & [3, 2] & 5 & 5 & 10 \\\\\n", - " 486 & [3, 2] & [4, 1] & 5 & 5 & 10 \\\\\n", - " 506 & [3, 3] & [1, 3] & 6 & 4 & 10 \\\\\n", - " 511 & [3, 3] & [2, 2] & 6 & 4 & 10 \\\\\n", - " 516 & [3, 3] & [3, 1] & 6 & 4 & 10 \\\\\n", - " 541 & [3, 4] & [1, 2] & 7 & 3 & 10 \\\\\n", - " 546 & [3, 4] & [2, 1] & 7 & 3 & 10 \\\\\n", - " 576 & [3, 5] & [1, 1] & 8 & 2 & 10 \\\\\n", - " 651 & [4, 1] & [1, 4] & 5 & 5 & 10 \\\\\n", - " 656 & [4, 1] & [2, 3] & 5 & 5 & 10 \\\\\n", - " 661 & [4, 1] & [3, 2] & 5 & 5 & 10 \\\\\n", - " 666 & [4, 1] & [4, 1] & 5 & 5 & 10 \\\\\n", - " 686 & [4, 2] & [1, 3] & 6 & 4 & 10 \\\\\n", - " 691 & [4, 2] & [2, 2] & 6 & 4 & 10 \\\\\n", - " 696 & [4, 2] & [3, 1] & 6 & 4 & 10 \\\\\n", - " 721 & [4, 3] & [1, 2] & 7 & 3 & 10 \\\\\n", - " 726 & [4, 3] & [2, 1] & 7 & 3 & 10 \\\\\n", - " 756 & [4, 4] & [1, 1] & 8 & 2 & 10 \\\\\n", - " 866 & [5, 1] & [1, 3] & 6 & 4 & 10 \\\\\n", - " 871 & [5, 1] & [2, 2] & 6 & 4 & 10 \\\\\n", - " 876 & [5, 1] & [3, 1] & 6 & 4 & 10 \\\\\n", - " 901 & [5, 2] & [1, 2] & 7 & 3 & 10 \\\\\n", - " 906 & [5, 2] & [2, 1] & 7 & 3 & 10 \\\\\n", - " 936 & [5, 3] & [1, 1] & 8 & 2 & 10 \\\\\n", - " 1081 & [6, 1] & [1, 2] & 7 & 3 & 10 \\\\\n", - " 1086 & [6, 1] & [2, 1] & 7 & 3 & 10 \\\\\n", - " 1116 & [6, 2] & [1, 1] & 8 & 2 & 10 \\\\\n", - "\\hline\n", - "\\end{tabular}\n" + "El par de energÃas con mayor número de estados accesibles es:\n", + "EA = 5 y E_B = 5\n", + "Omega_T = 16\n" + ] + } + ], + "source": [ + "#Hallamos el par de energÃas A y B con mayor número de estados accesibles\n", + "MaxOmega = EstadosAccesibles[EstadosAccesibles['OmegaT'] == EstadosAccesibles['OmegaT'].max()]\n", + "\n", + "print(\"El par de energÃas con mayor número de estados accesibles es:\")\n", + "print(\"EA = \", MaxOmega['EA'].values[0], \"y E_B = \", MaxOmega['EB'].values[0])\n", + "print(\"Omega_T = \", MaxOmega['OmegaT'].values[0])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Tablas de solución:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>A</th>\n", + " <th>B</th>\n", + " <th>EA</th>\n", + " <th>EB</th>\n", + " <th>ET</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>11</th>\n", + " <td>[1, 1]</td>\n", + " <td>[2, 6]</td>\n", + " <td>2</td>\n", + " <td>8</td>\n", + " <td>10</td>\n", + " </tr>\n", + " 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+ "\n", + "[80 rows x 5 columns]" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "EstadosPermitidos" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>EA</th>\n", + " <th>EB</th>\n", + " <th>OmegaA</th>\n", + " <th>OmegaB</th>\n", + " <th>OmegaT</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>0</th>\n", + " <td>2</td>\n", + " <td>8</td>\n", + " <td>1</td>\n", + " <td>5</td>\n", + " <td>5</td>\n", + " 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12\n", + "2 4 6 3 5 15\n", + "3 5 5 4 4 16\n", + "4 6 4 5 3 15\n", + "5 7 3 6 2 12\n", + "6 8 2 5 1 5" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "EstadosAccesibles" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A B EA EB ET\n", + "------ ------ ---- ---- ----\n", + "[1, 1] [2, 6] 2 8 10\n", + "[1, 1] [3, 5] 2 8 10\n", + "[1, 1] [4, 4] 2 8 10\n", + "[1, 1] [5, 3] 2 8 10\n", + "[1, 1] [6, 2] 2 8 10\n", + "[1, 2] [1, 6] 3 7 10\n", + "[1, 2] [2, 5] 3 7 10\n", + "[1, 2] [3, 4] 3 7 10\n", + "[1, 2] [4, 3] 3 7 10\n", + "[1, 2] [5, 2] 3 7 10\n", + "[1, 2] [6, 1] 3 7 10\n", + "[1, 3] [1, 5] 4 6 10\n", + "[1, 3] [2, 4] 4 6 10\n", + "[1, 3] [3, 3] 4 6 10\n", + "[1, 3] [4, 2] 4 6 10\n", + "[1, 3] [5, 1] 4 6 10\n", + "[1, 4] [1, 4] 5 5 10\n", + "[1, 4] [2, 3] 5 5 10\n", + "[1, 4] [3, 2] 5 5 10\n", + "[1, 4] [4, 1] 5 5 10\n", + "[1, 5] [1, 3] 6 4 10\n", + "[1, 5] [2, 2] 6 4 10\n", + "[1, 5] [3, 1] 6 4 10\n", + "[1, 6] [1, 2] 7 3 10\n", + "[1, 6] [2, 1] 7 3 10\n", + "[2, 1] [1, 6] 3 7 10\n", + "[2, 1] [2, 5] 3 7 10\n", + "[2, 1] [3, 4] 3 7 10\n", + "[2, 1] [4, 3] 3 7 10\n", + "[2, 1] [5, 2] 3 7 10\n", + "[2, 1] [6, 1] 3 7 10\n", + "[2, 2] [1, 5] 4 6 10\n", + "[2, 2] [2, 4] 4 6 10\n", + "[2, 2] [3, 3] 4 6 10\n", + "[2, 2] [4, 2] 4 6 10\n", + "[2, 2] [5, 1] 4 6 10\n", + "[2, 3] [1, 4] 5 5 10\n", + "[2, 3] [2, 3] 5 5 10\n", + "[2, 3] [3, 2] 5 5 10\n", + "[2, 3] [4, 1] 5 5 10\n", + "[2, 4] [1, 3] 6 4 10\n", + "[2, 4] [2, 2] 6 4 10\n", + "[2, 4] [3, 1] 6 4 10\n", + "[2, 5] [1, 2] 7 3 10\n", + "[2, 5] [2, 1] 7 3 10\n", + "[2, 6] [1, 1] 8 2 10\n", + "[3, 1] [1, 5] 4 6 10\n", + "[3, 1] [2, 4] 4 6 10\n", + "[3, 1] [3, 3] 4 6 10\n", + "[3, 1] [4, 2] 4 6 10\n", + "[3, 1] [5, 1] 4 6 10\n", + "[3, 2] [1, 4] 5 5 10\n", + "[3, 2] [2, 3] 5 5 10\n", + "[3, 2] [3, 2] 5 5 10\n", + "[3, 2] [4, 1] 5 5 10\n", + "[3, 3] [1, 3] 6 4 10\n", + "[3, 3] [2, 2] 6 4 10\n", + "[3, 3] [3, 1] 6 4 10\n", + "[3, 4] [1, 2] 7 3 10\n", + "[3, 4] [2, 1] 7 3 10\n", + "[3, 5] [1, 1] 8 2 10\n", + "[4, 1] [1, 4] 5 5 10\n", + "[4, 1] [2, 3] 5 5 10\n", + "[4, 1] [3, 2] 5 5 10\n", + "[4, 1] [4, 1] 5 5 10\n", + "[4, 2] [1, 3] 6 4 10\n", + "[4, 2] [2, 2] 6 4 10\n", + "[4, 2] [3, 1] 6 4 10\n", + "[4, 3] [1, 2] 7 3 10\n", + "[4, 3] [2, 1] 7 3 10\n", + "[4, 4] [1, 1] 8 2 10\n", + "[5, 1] [1, 3] 6 4 10\n", + "[5, 1] [2, 2] 6 4 10\n", + "[5, 1] [3, 1] 6 4 10\n", + "[5, 2] [1, 2] 7 3 10\n", + "[5, 2] [2, 1] 7 3 10\n", + "[5, 3] [1, 1] 8 2 10\n", + "[6, 1] [1, 2] 7 3 10\n", + "[6, 1] [2, 1] 7 3 10\n", + "[6, 2] [1, 1] 8 2 10\n" ] } ], "source": [ - "print(tabulate(EstadosPermitidos, headers='keys', tablefmt='latex'))" + "print(tabulate(EstadosPermitidos, headers='keys', tablefmt='latex', showindex=False))" ] }, { @@ -385,7 +691,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.16" + "version": "3.10.5" } }, "nbformat": 4,