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@DelgadoPanadero
Last active May 28, 2024 14:41
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{
"cells": [
{
"cell_type": "markdown",
"id": "2380fb58-c7ac-4c5c-a10c-c60625aac8fb",
"metadata": {},
"source": [
"# Los límites de ChatGPT"
]
},
{
"cell_type": "markdown",
"id": "84db16c9-048a-44c3-8fca-d26db40ba8f4",
"metadata": {},
"source": [
"## Storyline"
]
},
{
"cell_type": "markdown",
"id": "d5dcd4e2-bd4a-44d5-829f-4e7fb37f1919",
"metadata": {},
"source": [
"```console\n",
"- 5m Intro\n",
"\n",
"- 30m Límites de IA\n",
"\n",
" - ¿Cuándo vamos a llegar al mejor modelo? (GPT-4o, GPT-4-turbo…)\n",
" \n",
" - Cómo funciona IA generativa. Mecanismos de aprendizaje:\n",
" - Representación semántica (word to vect)\n",
" - Entrevista Jose Luis min 40 → min45\n",
" - Concepto recurrencia\n",
" - Concepto atención\n",
"\n",
" - Filosofía Kantiana\n",
" - Cota superior: Cosas que no existen → Depende de lo que puedo llegar a conocer (juicios sujeto)\n",
" - Por definición sí hay límites\n",
"\n",
"- 20m Ejemplos código\n",
"\n",
" - Regresión lineal\n",
" - Necesita palancas para permitir que haga juicios (Kant)\n",
" - ML Boosting\n",
"\n",
" - Scaler\n",
"\n",
"- Siguientes: De Big Data a IA pasando por Machine Learning\n",
" - Mismo problema\n",
" - Arquitectura de procesos vs servicios\n",
"```"
]
},
{
"cell_type": "markdown",
"id": "b0b581e1-9cf4-45c8-b60d-a0d46b63cc5d",
"metadata": {},
"source": [
"## Límites de la IA"
]
},
{
"cell_type": "markdown",
"id": "88889dee-7c22-4e9a-ba75-9e07d69704d1",
"metadata": {},
"source": [
"#### ¿Cuándo vamos a llegar al mejor modelo?"
]
},
{
"cell_type": "markdown",
"id": "f772cc3a-a5b9-4c19-babc-d6e579df5ea2",
"metadata": {},
"source": [
"* Cada vez aparece un modelo mejor que el anterior. Cuando apareció ChatGPT parecía que era la hostia, luego empezaron a aparecer versiones mejores, luego aparecieron los modelos de Visión (Dalle, GPTv), luego modelos multimodales e implementados en un robot, luego GPT4V en tiempo real...\n",
"\n",
"* Parece que ya hemos superado el razonamiento humano en muchos aspectos y que se sigue mejorando, entonces la duda es ¿Existe algún límite?"
]
},
{
"cell_type": "markdown",
"id": "1d976be5-1a5d-4e13-a67d-2a0412c358c8",
"metadata": {},
"source": [
"#### ¿Cómo funcionan los LLMs?"
]
},
{
"cell_type": "markdown",
"id": "9b6f0093-5aa2-491a-8064-536bb9a9eed3",
"metadata": {},
"source": [
"* **Los modelos de lenguaje** son modelos que dadas las n-primeras palabras tratan de predecir la siguiente palabra. Estos sistemas solían basarse en temas de probabilidad. LIMITACIÓN: Construyen frases a partir de las probabilidades de las palabaras y no del significado"
]
},
{
"cell_type": "markdown",
"id": "2cd78596-4efb-40fe-bff9-5da61c47d449",
"metadata": {},
"source": [
"![image](data:image/png;base64,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)\n"
]
},
{
"cell_type": "markdown",
"id": "b2dfccfe-29d3-40bc-a20f-a65f59f7da19",
"metadata": {},
"source": [
"* **Embeddings semánticos** Los modelos de lenguaje basado en probabilidad solían fallar en que no entendían el significado de las palabras los modelos de embeddings semánticos fueron capaces de resolver este problema. LIMITACIÓN: Se utiliza como \"significado\" el contexto, dos palabras con contextos similares tienen significados similares."
]
},
{
"cell_type": "markdown",
"id": "1fc83e11-572f-4711-9551-55cf42585010",
"metadata": {},
"source": [
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\n",
")"
]
},
{
"cell_type": "markdown",
"id": "fa7f735b-a04c-445a-8273-c5cb53176d10",
"metadata": {},
"source": [
"* **Recurrencia** Una vez que ya tenemos una representación del significado de las palabras, lo que queremos poder construir frases que tengan un significado. Aparecieron redes neuronales que dadas una secuencia de vectores (frase) eran capaces de continuar el significado."
]
},
{
"cell_type": "markdown",
"id": "46f4c65f-a80e-41f3-9481-40fc9d6e8c99",
"metadata": {},
"source": [
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\n",
")"
]
},
{
"cell_type": "markdown",
"id": "1b8873af-9d2e-4883-a5a5-6a44c500a1dd",
"metadata": {},
"source": [
"* **Atención** Cuando los texto son muy largos la recurrencia se empezaba a liar, las capas de atención son capaces de seguir aprendiendo a pesar de texto muy largos"
]
},
{
"cell_type": "markdown",
"id": "a39b6c94-46a3-4d15-9ccd-b96b86c350e5",
"metadata": {},
"source": [
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Y+pp5m8eZhFi6WllYa1qI2rLZke0R9mvOEw5Djo9dK5zKXXN2ZfoFuDu6KFLkvRk9oK8Zr0HfDp8G/2q/IsDMgLDgpyCNUOEQimRSBgLH4lYiuKJdo8piX0Q9zp+ImE+cXU/xQHOg8LJ3CnYlA+pjWl56ZEZbofsMh0PB2SlZ5fnXM1tPNJ0tOHY9byrx2vyLxacO1FaWFSUV5x9Mu1UQknYab/SgLKU8ntnRc5dqhQ6X3Dh5cXVauIl1hq+WlEkDhSvqtfp1ptdc7oefCPz5vmGu439TSPN0y3fW+HbTG1id1Tvat5TvM/zAPVgvL3rYWNHdWfpo+Ndhx4ndkc+iX6a3dPWy/j8QN/7F6wvNV7ZDvgOpgxdfP38zdI72mHx96Yj4R9Ojt4eezE+MjH+cW4Sg3g/daZ/jmZe6rP8F8GvVF9/LkwuDn178v3WUsVy8or9D6EfKz/bVhN/qa4R1nU3Znb9LwHNocphN7QIBodZxM7gZsnGyRcp8AQBSi2iM1Uq9RWaftpNegEGPcZApkPMZ1kaWDvZHrM/4rjNWcEVz63N/YvnAq8J7xxfFr8Qf7uAm8CqYKGQlNATYT8RnEi1qKHolFjmHuE9neJeEkCiXHKv5GupGOTtpl7GVGZaNl2OU65F3lp+XuGQIpdiM/LWMq2crMKocllVS/XFXq+9X9SS1HHqpRpyGoOaiVqcWi3aFtpvdPx1NnUr9Sz1yfUfGuw3lDOcNao0djVhNhk0LTKzMacy77ZIt1S1XLKqtw6yEbL5aFtht8+exf6VQ56joeOmU6NzsAu/y3vX4n3m+1bcCt0F3Bs8tDzekuI9eT1fI/uIv4+Br6Kfsr9RACkwJIgUrBFCHTIcejEsJFw+fD3iYWROlGU0Q/S7mLOx3nGCcZPxZxL0EoYTg5Pok17uv33g7sGO5Icpt1Jr0orT0zPCDrlk6h0WzcJkvcouyXHO5c9dOzJ69NmxW3nnjh/MdylQOcF6YrVwsOhG8cmTR08VlFScvln6qOx1+eyZtXOUFdyVsucNL7heDKs6WJ196UhNSi3psuIV4pVvVz/XrV4jXOe8IXPTsiGpsaHpZ4vyrfDWktvX2lru3L7bfW/5gUH7rQ6bzuWu4m7ZJ696jvZ69Bm90HqlPRj8hjg8N947u7y0uuX/nf/htgpWAYATqUiGmgmAnQYA+R1InjmA5J14ACwpAbBVBihBX4Ai9ABIZezv+QEhpw0WUAAawAy4gBCQAipIbmwBnIEvkhOngjxwBtSBu+A5GANLSObIDklDBpA7FAflQ1egx9AkCosSRpmiolDlSJ63ieR1sfAt+DfaAH0CPY6RxWRhPmBVsCXYNSTDekKmSFZNzkaej6fAZ1PgKY4TWAnVlHKUbUQ1YiuVEtVtakPqdzTRtNS0V+l06frpben7GSwYXjC6M/5kKmFWYx5hOcDKxtrK5sZOzt7GEcspx/md6wZ3JI88zzpvF18xv7/AXkGi4KjQTeEsEU9RLTHBPcQ9a+JfJD5KDkg1SifJSMuMyGbJyct9lW9RKFBMUPJWNlWRUmXaS1STUC/VFNM6qt2t81WPTJ/BgMWQ3YjfWM7E3DTC7JR5h8U3Kz5rB5tjtl32aAddx0ynHhdGV899tW4fPbAkGk+s57LXJ+9hn1k/Kn+TgKLAqeC9IYWhX8KNI2qjCNERMW/j9ONbEsWTqg5wHyxNYUzNT8dnpB5aPhyYNZeTeyTkWGM+zQnWws/FNafcTzOW9pUfPWtwbrky7wL9xayqlUtBNd8uH7+qV09zbfHGZMN001zLVOtE2+I9pgc6D906PbpsujWeSj4Tea7QH/ry5xD6Lfnw2Q90Y3c/Eaf3z2l9rv+69k1hSX8F/+Pozyer078+rb1Zb9g4/ttzU2p7/9jyPw4QAC1gATxAFMgCNWAIbIEHCAFJIBuUgBpwCzwF78EChIFYIalt7ydAhdA1qBf6jKJCyaKcUemoG6hPMBfsDl+A59EK6Az0AEYEk4oZRnxfigM4f9wAmR5ZC7kkeS1eBH+FQo7iHsGSMEEZTyQnFlHxUF1D8td3NHG0jLTNdPZ0n+kPMOAZTjGKMz5hCmNmYr7PEsBKz3qfLYydn32Yo4TTkYuZ6w13OY83rxQf4HvFf1kgQ9BVSA7J5WZFekRvIqdYnni6xH7JaCkvaU0ZgkyvbI6ciTyT/KLCG8UupSblSpUjqol7Y9Wy1Vs0fmjJanvr5OpW6TXp3za4bXjHqNt4zBRlJmpub3HIstlq3obf1t2u3H7Ekdcp0LnJFbfPwe20e6dHP6nds8YryzvAx9rX0M/JPy3gfhBlsGdIWxhreGLE+yjt6JpYqrjw+KeJPEmx+/sOyidfSGVLK8zAH0rKnM8iZY/nJh6VykMdf19wvTC2WO7kt5LrpTHlKmd+nauqlDlffmGqSqja/9K1WqbLZVfV6j5fK7mhfLO3kdS01lLZatUG7tTcM72/2H62w/ORymOeJ+inz57FPsf25bwgvKwccB8yexP8rvr91CjXuOXH1Mm7M0xzx78ILjz7XrhyZNVoTWb9zMbH34u7/kcDckCNrH4eIAYUgA6wBG6I7w8gK78CNIDHYARZ9wRIENKE9kFJUCl0BxpDkSNeJ6GKUH0wA+wD30Gzo1PQsxgnzDOsDvYOTg33gMyU7D15FJ4Kf43CngATmikjiNLEn1Sd1CU0MbROdEb0xgxWjMZMiswiLPKs7mwJ7NEcnpy2XObcZjxmvKZ8ZvzWAu6CUUJHhWtFHovO7KEUV5TwlTwtNSjDKustVy+/pmip9Ewle6+TOkbjuOa6tolOOuLBZv02g7uGvUZrJiamTeYSFlesJKybbHXsBh1CnPDOV1zt3Wg8KDzdvV18Pvqp+ucGTAZZB/eEmoW9iHCJnI5OiuWMG0l4lHT/QHmyXcqvtIoM+0yuwwvZd3KPHPXNM8hnKXha6Fu0cjK9hOZ0ZZlC+bOzvhVQZdkFpYsD1TE1bLWPryTXGVyTvKHfkNxU2ZLX6tTGdGfoXukDp4e4jouP5Lpud+s9GeqJ75Xsg/sXXk4P9A/lvxF6W/7u93u9kZwPT8eoxu0mzn2cmZSeCpo+N/N4dnYe85n9i9RX3QWHRdI37++WS7xLy8tHV9hXan8o/zj9Y/Wnw8+mVcbVyNWm1bVfmr8yfnWvEdds1k6u9a2TrWuux69fX5/Z4Nlw2ijYeLKx8Vv6t/fvk7+f/v69Kb3ps3lqs2fL/1G+sjLbxwdE0AYAM7K5+V0QAFwBABv5m5trlZubG+eRZGMYgPvBO992ts8aagDKtr7xgKctv1L+/Y3lvwD9ccgB36tnOgAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAAB3RJTUUH5wcKCQcykk9BJgAAHEB6VFh0UmF3IHByb2ZpbGUgdHlwZSBpY2MAAGiBrZtpkt04kq3/cxW9BMzDcjC52dv/Bvo74I1IhaSstjJ7oWLeiQQBh/sZANbz/9Z6/oe/0mN5HH9++lZ8ddWV5YLXV67scmqqIYdUUwgut9zzCM7Vw39c5ugczbk4aCE9xZdYY3XJZ35Ny33+fv/8n/6Mu6pH/uuLHcP+7tl/+ff8d6d7X1LJNZb4fsyf70t4StLXZb8/zHRfkx8M2NVQ3895fy4IsVYi576+t/S5QXoI5w3j27CC9/5Q6q/f+/X9/Y/zo/u1ocTMvN+U9N6hucUk+BpKvZ/P1xCCq4X+10+PTv2MzDO0w6h7OW+7LX3udDidlCj3sx/rM4SwmKBd7Ot7+7pBe8q/9aj+e0/LX3r63B/qnz/8mJ1//lqi/8q7QpO1//PDfzn9//73/78hQrhq/n0oIXzerNJqSC1/Pvs3Zn60MoulmcNXQ2+e+LmYxZBO+kyHfy/0qzGz6Z8bfH2/BzfI3CA/P+9wlko4xU/COV/ejmniik8pzc/3740D85TLzDn55+cPMSgNf7nzewP6yFyl1HP6+X0JJK2RJvbV0HtxIG9PWQztqyQ+PWqN9Myp//59P0qSlHP8s6FSeirpkyEfhAkzVaJBitYfMQ0rcUXPJZ2vYJ/3h+1Iwpnjdyw+d95HDaWYzh8NhZpz+A52+IzZUilMc/me5rehCBTv+ktqfEYQg2rS/zq0Fz5iAmk0hNR+3Dnmpljk9h2jf0LBXZnN7+l/X6K+Lidzh593fsEshe+efm7ciqpO2P4z2FGzwKzVrws+mR0nsauF2OWfN97hMk36zuxPXsQTymDM4wsFPpMQrahH8MpXHr2xS/y7TJMUI2GNblzz+1qUx5RIIbtLX+esWc96f3sveq9JRdDIdTq/0lDJd95/nvTL+8uH9ZeLzvtecazc7Gx992lIU/vHHcMvF+uc8jZi+y/nKtjfd1bLv3T3Xvi5SSFBT/k0ukVXXHY4JpcuvX/eBu+XgaNx9N/vyCf7Y7iF2AvLCzlH1jzEtv8ZEwHcDfh6X29P/uN5zz8nqr7uhfmdwa/YKC4/J+NvPXxcZux5e17RLptUOaJo7p6JyUn/9OZnY9lKb0G/vWF43L9OedpvPqp3P3Imf3KNH0//s6EUyifg+fY+xf2ZhPfkRDZrttQz8OSdmOR5Nc3e814Y/0Mg1aPfY/dngj5/S67fGvwK+L/M5u+1dsJwJ/4ej/CX8vlLY5q1/9ibv12kGRTH6fNNmd/z6LchxtbAoejiqhyeo/N5cdR7bpzGwTlL3+3n+4c/IOI7h+qfw8u/JGuZXz36o7aiG3Tl9Ojsbzj0+2T4rxjFX8b/qXYnEsi11W++T7EYKNlh1o6e4hdS7SOlRTpPQvYVaCWsALsQEh8vsH8r/V/+LF4s/9LlaOVlX+f90Ecln9uIYnv/+v5rg2X02+sx1gV3X9t4/nZiKPkyre/h8tj0O6BSMqxafpz4j9C5vCYJYy+T+C5tI1ki5fDOVtRcl8tJ90pRUuIaaSixShZSXMxWsNuF0Bdime5KTxrjazTQ5muEOg10Gug0MLhmcM3gmsk1UyxCkjkFZXHR4iLZBXDJ7fnCiKTumbfT+CCOSbj1r3JsQh45+sN/DKLNHJzAMDRrHvhAGnAsjAvf0X1xIgKNg99AAU+vfaMRekwwaYju+sEdRpcD5OCVHnpKwoOcHrT0h1dAzBuN2iD/IodMYuLYMDvgH4IR24ay8RzTweQc/MjdQ+U7SDBgLUI7KDTOY4rDoJFZ0Ef8TjjCZtaCJokYBMtO2RHdJCsLk0WhMmuRmyBPOShSRGqE+yKTEuuhsPnc+TwYWhx8Mcdb5ZsLjsQEFW2d2Ra8xku66UKsCBGIzaAqs53ocaLB1CjaRIwSU5noasIFJRpLxERpkuxgbElvVG9mMjJGGEnqcm6QTAVxOUiR3IlRHryZ0BDp/tIRB9N8/zFEFLCTnbyMyuwVVEqpk9RbAMemXky4B9MyM+VEACA7FXMlu2uQskKZ0q0KTMjoVe5cO78R6Aqo1Y0L5KbVGvYLFmnkUSN/GmDWCGYjT1rjM0Fsg8+Tz1zUsIuNZOzkbifvOsPs3EjWolcSsjc+DD4Q8L54z106Fwzv3WBYg54NUmIwpEHZDFJgMEGq/LGXG6Z5pkcTnTjhtZm9m6AlMOwmJ8+p6uGVwE9mcKEzF0yzSIWVl8NLuUVurVHdUowWmbtodesfbLuTSm24TVw2J24yfi9+37wnHod0OCTfYfbwwxhkA5Xp0WHaDzE451CX3RnjN7LcUBNGVhuxsin4NmdH1U2U8D4kFbPE+CtdpiH6zQ+76kpPJd//+WTg6Pa+Le8H0Vrd+9MYXPXUlQ8p+1CSp3R8GNGHFR8fDjAtqA4c3AVDDABwDHJ6ZYAgU5poZgoPo+VTGdj6iYbegMPhnoADvt+jwn3OxcMZoMX0eW7PqFRt8uVY/+5LWb4082Vi9Tbf2fAVaKjJe3Q8mN0fX8fxJJevVn3TSlICYvixteHbMN8277mwgyCdIfUyfWekfZK6e0uW+hHG4wehGbUCR8eTG34QUDruZ5x+MsxJg5OezD28EIgU8CvzWqdfxGet5WGlhw4evynjXYVh3TPVftPY8cXD2v4Qk9OTPyTUOd0bs2HxeKSfN763ad7OeMLFUoJP5QXSnKwDNMA6pgoAbIyZ2w9PF07gqhAQjhi9EBpvh4WwN5xDQwBXAKxC7CnEFQJKDrC0kNIOqa6QxgxpD1VXyJybCwfMnReH1dcf5/oErQyUyXEQqZ4j9VArVUYDdS/YbYcWLTRSqA06shPKHHVOowQ+9L4DaPJQPfQQUsezhtEncGyASAgzFmC5h8mJZEQQtK0I9xZ0Ag2uXcHMFTZh2bU8YXPnfchLsgabHugYEF4DJRMYIFA+gnUfjKGYAVwRW1QovkH17kkdkMlpPPhe3kzm0UJU32D5GPoE91PkzBgB51gtos5iZMoSfU0yk/3EtFsk92NO+8Hx4npXiNl21HoGLjuWcWJBaGG4caAQRl+xYrObR11nqcIV22qAT75z1Ks9sU9GbuAdzYyaIiOFWCwy4DgLaTlGnKcxoTUiqeJiSOtE7GyIVEskTyMI82BjYR/uemAkkIT58VhYjkEmnAAzxnT91LjgQ2jJwkJFj0WWHvoDU9XwMORMROkK5U7/ud3VtHh5/Hkb+Loj0IDKMNNgct4nlRC00gAQzIRqTATnSbVO8g6Og7FamqmBFA14pFiQhcR09ISSSQPzP7gRHYHYV7oLHzQ86TX19yRmNa058EIkcOK1Mxl7pYMIOOUkUuHlygRn8JttyC8A2NVngB2kByqye8AFPhyEaaToKnUNqgNrmWmEWEcmYFlrEKkZszypspZzZaCLagFWC8yKqHwyqjcTjVwpJWg8N1Kw1Z3bmrkDMr108E6MV/PgsjE4LOdJ1GbnOLRJjPICxdYuedPdXVveq2eQCWO58pk7A/kwuM8QQLm2MpNZtAYbgL/8MoBR8KgEQhr6KsgkQksy9Voi1HINtNakTid7uFOnyI+WanehBAtFXqD1Ujs5fPpTqOwCPZd2Vuk01Pso3ZQpjaEbGqGWyZ3n4NWMftayhiFdG/CNdJhI/nfRd5azSAcibigFA9ORYxA9uuUwN+S777kiEZhfqnnQERRkJBDUHxmatCj01LSYJtAG5V4JjsZVC8herNWKCKozwi8QRTm1cW4Po/aGbDigViqViUXkpKcC8HVSSABrXY1DpIJdoYaq9OsBAg+/Aw4omFTtoLJSRUk0SYoGRzW/9gOIOKAOBLYEJtRGlcKfu5HqLR2KnYvymKgjRTdosa3dMXXDGqbW8P9tnad1QLt3OmunUZdtrNGg+kYM27TVVgEx+G6DXJtrtlk7d25Oswhtdpn/8gC/vNlwC+rTj9ahD0B7dKhcxdLBEiAHTdUoOuokZ+t59VuGTG9HQXWC+XQC0VtavU06RlKh7nq3RRK0PjZJDdbPYR0a7ItTltW+yTBYqMN7/YxDtuyHkc5uhsYryNsNraYKtRbgnaMX7AtH5YApE1VFlVOAbeTBvZAqBGCQMw9pdga9Gg0iaSvh6RgX/yDmMSB9GGVMymyeDqOvsVCCO6FF4PIDdZzhUQjlGfRILg8Zi9s7YyJDMHoQVoLxF0gfif04jJA67VSyjzO3gTyj37VPgI2ka8+kN9Q29b2xM9Bq52JQeo6ZaenwRmnm5+pTgmdupC0DAMbBNIP5YVKjaBHN2JyDpCgV5QDGZ4P1YASAJG68ALIfuF05TUZGNiRs9cJwJAkS8iPu1eZ6FvzBzToKpS2CsUCLNWdZtLQYyNq8gmcQR1mAArq1LqP/uJntJrItLsZyHqSEbezSBu43fEMcO/0AiNLZeROtnHfZoDjtEYbdCrR4yM2CHmbema09bD4EH/WLC1ltoL9Qwb3A4GufEbYhD2zgbKBLN/k6YXcW+ibDYnvSyXjArgONPCfZogzBebePNpHAi0MCQInIgLnQWKT+Zj4B1XEATcBlEm+Q9aB7z9YqbGjPYWKPQX22ENIZP3GyefSCN0PLEBLfDUiyBIHAO6A12LuPlbKtaNIQmg1zbI2sQ+tQA9WAFhtI+VmrMZ0USiOA3TY1ctK0sxcYSdma4bu0bfa97fhc8/m1AFHKXWkwsOt+s/PdRIDc3zOGOz/21375ext62/2sa0AUsuoyy/KzycPBNKHdQC3kkLxUuVaGjAQksvSKwGEhZKgQ5MgwRAukSZ1XLcZLTwOX5NXr3M/0xBLjhsxAwdEUogcyFL2U+QTSAO5caAxklt8IVR8m7ATkBJXcQcAYOtI2FgpzRgdjkLpCtcSzJQAogvxEmDtWj5A6AgfQDLSVDcH6xYlgA4Vgr0TirHgAbmYCX4qkSehCaenNhJLZAAIwQzKDkSiTA5v51KMlDESid1QYpTYOWLkTkJGMktM6Y8BrkxoZoZRREnA/6rIYtGfzLuBgSIUneEQqBIe/yRwyDmVIZImugga3wchdCI/Ehl1LfbRpWVoKBYAGEsc1QAvrsp2VWxsGeR7MLaYbUwJBUhBNG+aoD3ilTKhHvAazXwe+nBw4NH7TGFOb4StODVRo7BRRBbZiahmKgjtgVJnx3OSCB3nUgFL5RBx5a1RgM1QDiqN7QDlwMCW4K7RNhjVQU5XfwbTeU0WvSUgfpqM/nYnplHInnZGjJFWaA88A2MulA/AQXT1zdJlSWkaijwWLCreZAqQSjJ3tAaMbpgPHfsXkAY9xDi3P2iAo8JxyoxVgF7xehHBPIHblaZto4NZBLCSkPQtnRFLAH8Ao8mxRSIuCWq/kqgtjuOZNgrp2gpxzgto8XOKAPQYEUCGLH5AwXr6rzHSLIF/Im+Kkzx3oanuBjpv7nhGx/QyY+cAEo2WPPMRJCVmR7DmFoVbCxBSddhyRhKoiucd79MSBDw89QctzAHjG+PE2RuKDWxRexibQkAHVSFMkGKDVGng0qxFIYc5PNIiggUPKM6naQcx3hUcb5dHdpzTgXEcg3TrvKrthlLWJHjy6gixAfPtChVZcaZOrBiEQOaC61vAGOhT72v0j6sOXYo/udmuhp8jUhcbFcWEucYpqHlNISFEJGD9YgVLbpPuRhiX7yDv8Gp7ZE6VA5SMWELacBiiiw1E/Mg6GvQLitsoLFswy8jgn7PhFBlT2AbOBlIoyAhqg9rvgYdC85hLzz2yT1BRjZPI96MDUwCxon4wvKWnyG51KG+6Hh4wR4S8YFSCBlcCuBJLaYxdAgeKwCtiIeig8yW0oeMBLE+sBF6JtJe6xEKZlu5SILgECYEFwaA8RuGUzcFMTaQtsSItTZAUxxFdkLoKeSIIQWwjxABFA9BYvAg9MTsLM5478B7rrbpVYIoXJJsa/UDCbgEKIqFw9G8KUk6Z0HlULJGBeW8oH26OdXbJJSrVJpCLhxqbi5HFKo84aHID82h3peD0PU9rxsw+uLoM2hoalGwhldC/YZ5S9VBSasTlqxZj4rtU6JCGJweVIjoEuhQEPYns8gA6uDAh54aGOTYAooGGYM6cFJVQO6hrVFlX3E4UykRkINNDB7uLsnL4+pCNKjPco1Cnto5UdrQl7bUysCvQQ8oEjxI6X7hbyfTUwtVeYEAOCGEZHIbSONiXq3giaHTwdQi+lrDnD/BBKZnejJUA+uuhVA5yYkD1MkUlc0wfo8AEcgQOyHfOqTcQXCZpHynji6s+KYEoUkTDLzpCNUiyYqc3E4bcidQN3PSAlAkOGFN9SESpkLjcaRkgMN22Yatto8h9oELA7WgNHOHEPjH9/nJZ6UUTXSdRDeR6Kmc8wrUOZOoqf/AYVmtZcoQnUVTCYk0LIKNVSsFFQtsfNYLTTXV+b+KwFhGzmAVb1qKjg9KiXDcLHmzS1lBMiRKTlB4RXEFiSBk+QZUGuYNggD3yUFqHJDhIF6Dg1gD1MXwsLJ7+1y6SV/Y6oQEkb4Ozk7rGiZI9FmpZiBCtiTIjtNLFulG8m1DAKIoPEmPVdqRFfVtQgJansmxIczBqKGMXBxG08JxYWJJ0RECYJCqoDXeIPQACpIyGhP+xz40cQeoR36R8HhoDX2sjCOgI9Z0CHIQ3yT8uak4bgIxJKD3nAvwu7RkdJZK0KZ0aSgx4NCYztpAeEglwy+YdEQa6jCAAWKL5hMICcPDDoOBxMCFgIaSNuUCglo5szFJLBQW1VPIhAbBceOmDQArr+ypX7AIx0Z8WbU88yi8WDRWg4Xle0u1UA4WHShHv7qWRUdbauaAtt4OcdfiVXCgJcMj0ZUvX4GDBbGx69axllg09Fi6xolE2BzvlU6BQ7jtpZUbwEInQtMIJGETw0MIoESBlCwZ+j6BtsKTONhUQ0AOE4HKjsuZx8JBUAKFIbOTOFLJ28QAGiXjDOBImxVfAKn91D78N3Zv7iAZd3+PyBg4EUAuUDejeCOloPw3IycrANm4pHxti/mw+YWGQLuuxo3XNsJMKxjgNdjwqcnMdyZoesAVSBL5UuaTfx4kgarON0E+BB0oAZuDsmdHkt5ELRKceV5SDRfpi/uGDStRiobJJDnaD8kQBUhXwZSILrA+rQEZbhr280+Hoy7+fjZyVeL4LHuaaCyN7P6OB7Uffvo3pBNHi3Ve9GqB7X3LehfB8c0L7dNTXI8LWulxnH/+lVnP8YoXLNuQNdMBw05E0PEr2/6fnPu19tV3HfB1Kuk9EOKd91ah/h5PDZYB7yhe8xKN5VbWYu7u3RQNX5bPSX1649yaXn17RWr0f/6K+2F+EGYQ7IeLcMidPdEaxF2/TdRWxroiG8AyIKcxCjAoTT1cKbVjs6omq+W2QLFI3VUQQEbTpokkhNhJYkt952bdeOu6mE53FYfyzHlv5zCBtnoKZLjBEu0YZIoNNBbj0BSNs/qDqMDjiMoPQZQioAOHnkIVzfOKNhrjuMP/wkG/lvxmhrAicKlS4eQaHF524sgK64rxy8AcKrBgo+JG0SAKfFiYgIzUTBNZUhvo4OTcCCPodlWqE/T9BKsoFeDozyOlvbSBv1horAUYJqFqnbWLoeYSXF8G4daB6R8PoabwDCeQStSY/OeW0vgIK4OzQshc9gq+9EBYUWQFaCMfXwXiUSCKUjwgPZMKU5oCGxjdLyFdpLd82WbEaVgYpEC1mHekeRnfswSfG4X1IBBZoRYxkxtoBKatvZA/pJvKC0ceJLiyNaejgwO8oBG0PWLLwZhmsPXDrgNpEQAarg+rsx2ifJVp7mNTkkAWNo0oG1gBoHD8YVNMvbjDHyF5/S2b0AB03CyJc+N9qpSV/UhyTJMKMxERBIa5KIeoBzyHeRW4BCxtqSeeax3IUwtVnOnJjIiaJGKfiJl3jAlbjEhARJS+JAiqGsDMnel0UwviBGrG3GitkBrTvG3SOt5zmo3tMqAAOLyAbdFa4Q0cmAdMHcA6kGKBoCx1DCNuk9XguRhK4h1BbdP+rkRQPBiNZB1vu8nx6u0CPjKEyqUQ/zOW0r3IcohBr3uQmgg7KiyECC7t7aotZQau9DGuATbhMkcL8gQdd+ofOCnSVNRNVr842b4Epxw7zOgKrIVL/XAwEcI919fsjd6WHmpJ12tEmmTjGTHxSYt/8VTVi30paD2e84SNfxxIMLBvgzqfqpVRjAc2F6No7+wFKnQ/cM+T6goY3eiwAVBMAwzEqZlof4b0ayfcZgZ/gR3oaTUWHIRDAAt8voCtrcp4t1UIxfMMOSPwUhDl3mTKofF8us0jiKLL7PsETKTluGWUsUWdtP6d35w8tRPiRYfL0bTnRrMa6u524bEYDokx5+QXBpq6rdEsUrIgVIGuoGgkdoTTQGNDoa8hsDgB2PEG2kEB40E3CHUMOqJc6kzGH6CVnNy5eQ+04dVIBRhNhpg0aqV6kCPE5GQKORpI8osNzRR5vRoi0ppjxwdAtxuLWf0LEcyntCR3BKGL2AVZcWkYeIFZRn1r5IQ48uPWm1C7BRwGrCCXBXqn9vhaemge2SbeZbbBLVDwQinTDI9UQtFSaqH4EYujJntFyRMGdxP1QzpoxL2o5iNPJjMyuT9MSDaZke3Y8q0JY244lXjSiRsM74z9g3AUBDYaVIOpCE9PJVa9OYFJTH2eIfRAeKlVpFL5INIMEIzxzS6VTMHqgMdIRTmlCjCWwnmxd2HybDBZE4sAb8qt2eAaYtOoKNzraRd89dBZ4De3S0n4KZBxsAOZBHW+AVDeZkaEj3baC+FayS9gBJJVuMZ58EfGBqfsKB1EZ/3+qx4IsE8320So+pSYToycuLAvvVA4NzZqL64XfM8UcMUAOhvI9r5U316yEljnnXL6j8/lY+1B2ov/sIF8UVi6p/6vHWu5sJ7w/EEBXPvBYl/NzvozF4Sj0J3YCcDh2Az27ouRLBKjJm6RktPaBxKOhj8DsOSaoAzvCkJrzefbqKXv9HEeYvav+9wwQIf2pnVqibwtglPFRvwvIjQUh+qC/IO0Xt9WdZKENhYxK0lDdUsHJMerptB+Q1XADudjh3lydixGJkHPjqqI3GKgekmaUYccQYnfw+00RG4Neox/ipR1huItCx1drN0kQm/VsUqqytyQGCnUErKJB/3iXXopVtalB7NRly9XqGbMLDdis8Y2ro+aTeYNujZZBQ0I/loNJth4p4p/8Npp0SMLWSbH2VSgbX3XHHejTKBuP1D7Cr/4eJtWpww9zi14YmbrCnng4hIBMSR/1b0cLyfWTkhgt9srWjIVPr/KOvRtLu1M6Qex7IOUbQhrYADl1BKGI5YNhq2uOaTeuSWk0gyQCHaXoLjGDrcX64PSoauzOBMPzDrmsBGCfoYWxkm6EGT7sbLvQTGKiU5t7aTtjab2/j2VAoOasaywfGOekQLS2WUWyNz0z5Gfxb1Mb2Mq2kHNLIAUNAHfmRmG73YFQDlkA6BF/oFxICyo4Ytc4rVgGQwpkU6yjLXkkbvYfioUHCrEnWg1jnMRSf4V7gdz1q2sgW2UBeJ4ryoBhQlky+yMY2emDzj0pAA1D1XHcWAzQaMr7Eopph2bRb80GDGjGiMf766Ka/T8tcz7GPzsPnv09s1v4+58/d/P1hjnBf93g3XeK+j3ouPan6y//f6B8T9JoUPWz27Y6wpUiY5v6vv+d/AV1plX4IIYldAAAAAW9yTlQBz6J3mgAAgABJREFUeF7tvXt8U9eZr//I1y2uMhAQJAGThCDnguySpE7TSUymic2kxKanaU2nKeb0MjDTFmemLTC/9ExmpjOY6QXoZfBp08Ekbe0mnWKS9mCSNHbSSXFzs00gFoQEEQIWELBsA96+7t8fS7JkWbZkW7Jl+X0+H4G111pb25KXvnu9672YDMMwEARBEIQ4ICFUB0EQBEGYKIioCYIgCHGDiJogCIIQN4ioCYIgCHGDiJogCIIQN4ioCYIgCHGDiJogCIIQN4ioCYIgCHGDiJogCIIQN4ioCYIgCHFDUqgOk5nW1laOHDmCy+VC1/VQ3UeFpmlYrVZuueUWpk+fHqr7pKa1tZXDhw9z9uzZqH8uwtghc0CIBCbJ/RiclpYWXnrpJZYvX860adPQNC3UkFGh6zptbW28/vrr3HvvvcyYMSPUkEmJ2+3m5ZdfHrPPRRg7/OfAihUrmDlzZqghgjAAEbUgtLa2Ul1dTV5eXqiuUaGqqop7771X7lYDGO/PRRg7ZA4II0X21IJw5MgRbrvttlDdosby5cs5cuRIqG6TjvH+XISxQ+aAMFLGWNR0HPX1ON2h+o0vLpeLadOmheoGKJNJ/0eoEYonn3wSt9sdtG3atGk0NTUFbfOh3sv6WHgzdRf19a5QvUZNuJ+L7jpKQ8NRwvwoYoKJeM2jZfRzQBAGMraipjsozMqioKI+VM9xRdf18PZqjj6FxWIJePws5BeT2+3mm9/8Jl/5yleCtpvN5pAOEO7aUjKyssha/BjOgDZnVQl5m6v8rsNJSWYelc5QVxYegefXHRVkZc2nPjKnH5RwP5eTz3+Dj370YY5G+XoUOs89uopHnzkZquOQTMRrHg2RmAOCEIyxFTVNIx1ID+OLaSLgOvoq8K80OJ04+x4PEeq3+/KXv4zb7eaZZ57h5ZdfDtE7GDpVpY94ft5JZa27f7O7hgNVbr/r0KlpOIBbD3VlYRJwfs1WSN3BRmwROv2oSdWARSE/h8ig4W54nudaRvkFPBGveRSMfg4IQnDGVtQ8DDWVHDVlFOVlYjKZMGXmUVxagw44KjaTV1SG26+v7qgkL7OAGheATk1FCXkmEyaTiYLiMhyeF3LVlFJQUoWjvpICk4mCCgduRwUFmQWjWr2cPPpj+MZHWWq1Yu17WIYc8/LLL/Pss8/2PfdO7mHhrmXNHthV10h5PjxS4ls11VcUU7DmADSUkJdXQOWhP1OcV8gBYEdxHgXeFZbupGJzkXqfTZl97zPoVG0uYHNFLTVlRX2fw+ayWvRg53fq4K5nR2mt77PxnDvTc+6C4lIc3kZnFQV5JdTW11Ds+azyCjZT4/L8Bu56NuflUVLpJCKcfI6HVn2XPze8zDc0DU3TWPXQo7zsfT1O8t2HVvGNH/2Ib6y6A03TuGPVl3mqweVrX3UH3+23qnHxo1WreObkIb770Cq+9zwc+tE3WLXq0QittE7y3VUP8dSfG3jyy55ruuMhnvyz3zXF3DWHT0TmgCAMwriI2mC460vJWLEOl209+6v3sysHdm5YQYVDx5pu5cCedVQ5fDOwvnI1BxqysVmhpiSbFWu2YN1eTvnurezbuY6M7B24Aberin1bVpKRtZp99lzyrBZcNSXsa9iHyz3IxYRE5+SrwPfuR/N8WWp3fIOXTw7+DeF2u/nyl7/c79jJkyf58Y9/PMiI4DiqdgBrycu0kbN+I+xbg1qs6bh1K5m5qp8tMwcLLVhtmdgBNBs5Ng1wscO8mDXb6tleXs7urens3LCC7B21ALgd+9i25k5WrIPy/epz2LbuTiod7oHn10B3u9izpwKlEy5KzItZs20PObvKKd+Vx76dG8hIK8YJ6LqbfQe2cGfWCtzby9m/dxfs28aKokp0QHfVsu3AASpG/sH0Q9fdPPv8t7nno/fT8t0neOapH8Gz3+P+Lz/TJ+KvPvs8P/7mNzlq/xrPPPME9rNP8oWPpvPUUV21P3+Il/1XNXoLzz3/PC36TBbdYWcewCGNux+8g3kRWWrpvPr8s3zhno/yZR7mmeee4O55z/Lle77GUW97zF1zeERqDgjCoBhjSqORD0bu7sbgreVrDXJ3G+19R+qMXDB2N7YbhnHC2AiGfXudp009zy9vNIymagMwNu5v8j+ZgWdsY/la1V7u97rt7UZzc7MRjF/96leGrutDP9x/Nu4DA1YZTzz3Z+O5p35kLPM8/7M7+BiXy2U899xzQR+BfX/1q18FvTbDaDI2gZG7q87zXL2n+X6/24nyfAN7ud+YE0Y+GN4uTdWbDMDo/3ZtNCDfaGxvN8rzMWCt0dj3QZww1vq9RuD52xvLDcg1Gtt95951sNnXXqc+i417T3j6Yqz1u96mvWvV66neRnNzs9/fgI+wPhddNxqeWGXAKqPBrRvuhicMwHj4iYa+dudTDxvwsNGg64auNxirwFj2r36fgVsd46vP9LXf9zPfeF1vMO4D42cNbkPXdeOJ+zDue8K/ffgP/2v2viYPP2G4vX2cTxmA8USDO2aueSSPyMwBQRicmMooYissoz3HQW1FGbW1NWzZuQeAQgDSKdqVy84NFbiKM7E6atgJVOfZ0F31AOzcsR53BbjdFiy6GltZ6yRbcwO5FBXYfC+maVhGs7enLeVnDQ2waClWDcDOyw0zsdi/wKtH3djtlgFDLBYLd99994Djw0Gvr2IbQGUVFRYH4GQfwJpKXIWbsQJ63xoEzx6NOqJ7jrhdDgB2rC+gAnBbLOh71PtV69TVmNw80vveHit5uVDiufEfeH4fbqcD2EpBtqXvmJZZwC47VLp9K4e8zPS+n622PKBMeY5qGhbLKD6XQbjPvqjvZ+vS+4AnPa+nfo+vPXiHr7O2lEe/u4xnnzyLjm+cP74r9PxOHUG7AUf5smbnyb7nq2hwP83SMH7FVffZfa9jXcoqfC8T3WuOHpGYA4IwFDElas7KzSxevQ3IZ+uuQvbvzWbl6g197ZkFxbBhJTXOx7BVrYP8crItgEu159qyyez7Js4mpxCs2Vao18FeGGFHBg3r0qX9jyz9KA8Dz7x6ki8HETW3282hQ4cGHAfCnug1ZevUDwe2sOaAf8sWquqLKcoM/5e05eSQ7n2SnUMhGtlWjfpB+lsHOd4PTQcsA8TOEjDYJ2++n8O/8uHj//0dzutplnlAal/nfn3dbsL3G5zJqp/9jPtSUwHo6NCYGeYvqgeIjv97FozIXXP0iMQcEIShGBdRC75A0qkp3QZr92KUFXiO1ZOL3+S05lCeC2see4z8PbD1YJ5q89zZ5xUVU9z3pe6ibHMZljyL53mY3yRhoh/9GRb713jKqfOg9wvbdZQngX9dFvxOGdSm+MmT/b9eHn300fAmtF7Pjp2QX95IZaHNr8FBkSmDdWU1FO3I6zsa+BtrniMWLR2wU7S+mL63y11LSYkTi4WwCfaOaliBDdS41lPgfV/ctZQcgPSiIANiAA14puEkD/fdpLh57svPw6qHQdNYBBxN9fV3H32VAV/Lfu39sfLgww8P1jhionvN0WVUc0AQQjC2jiI6WIB9JWVU1dRQVVXleVRSVXNUfUnuqaSq3onTUcPmzCwOABU1Ds8JNPI2b4U929jHWp+Jy5pHeS48kpVNWY0Dl8tBxeY81m3bwmBe7K6aEkwmExV+jifDQZu3jPuAz6R/g+cajnK04Tm+nP4gsIr7g6zSQJlefvazn/U7tmjRIr761a8G7R+Is6qMA0Bxjr+gAdgo2mqHnTuUw4gONJRRVlWjAt09v2JZWRm19S6seUXk00BWdjE1DicuRw2bc+5kyzan6jjIW+Ly/hB4fj/SC4rJB1bPL6Cy1oGjvoqitBU0YGdzXuB190cHcNWQaTJRVOH9zKOH99e0AM9+wc6PnmvA5TrJM9/9Mt8EvvG1u9GYxx33wfPfe5KXj7o4+uenuP+ebw441/NPPslzLzf0884dMZ4LG3hT4sNCjF1zmIx2DghCSEJtukUW5dxBsEduudHcuNfI9TuWv3WXsSkXA+xGnddzoF05j9i3H+x/6vZGY3u+3e+cdmN39QnDMAyjsTzfILe8n/OB13mkvHGgS0K4DgmuhqfU5rz3seyrxnNH3SHHrVq1qm9MsA3y4JvkHgeO/PKgThReB4xN+5sMo6nayPecf5fnjavenq9e064ccdob9/f1Ucc3GtVNnr6bCHi/2o3yXIy15SfU04Dzq9fO73MsaT9Rbay1+3++a439jc2esfsN8Dr/ePo3lhteR5FgjiRewv1cnM98w+hzunA+Y4DPQULXvc4j/R1FuO9hj6OPenz1iT/7Puc/P9Gv7Rvf/VdjGRhPeD5r53M/8rTdN6iTUKhHv2vWncY3wFgV4Oixqu81Y+OaR/MY2RwQhNDEbEJjHd+dqe6fScJViWn+aspPtFOYHngvC+ged4hROIGUl5fzqU99KlS3/vhfcAjcbjdLly7l7rvv5umnnw7a57e//S1r1qwJ2hZJdE/WhtG8X4MSgc/CnxF9LiE5yirNzsNHdT6zKOBvLWaZiNfcn1iaA0J8MS57auHgP0XVhHVSsaOSqrJHwL6bgmCCpjqHqy2Domna8L8ohtHVYrHwve99j1WrVgVtb29vH95rj4Kovk4EPgt/RvS5hMJj6mtx67BIi+y5o8VEvOYAYmkOCPFFzIpaMOrLHqE+fSt1ZUUR/bIMZP78+Vy6dCmqk+rhIZwH2tramD9//qDtk5WofC6axv0Pf4M7FkXwnNFmIl5zEGQOCNEgZs2P40lbWxsvvvjiuNXt2r9/P5/4xCfCykg/mRjvz0UYO2QOCCNFRG0QWlpaqKmp6auwbDabQw0ZFe3t7bS1tfHGG29I5eshcLvd/SqSR/tzEcYO/zkgla+FkSKiNgRtbW0cPnwYl8sV9TIYmqYxf/58brnlFrk7DcFYfi7C2CFzQIgEE1bUDOA3f34nVLewSejt4n89fXOobmHTmzyFfQ8H9+oaCUmGidvfD9VrGCQl0zxnYaheYWMymbjQfi5Ut7BJSUwmI+nqUN3CpjvB4F3jbKhuYZOUlITdbg/VTRCEMWZsg68FQRAEIYqIqAmCIAhxg4iaIAiCEDeIqAmCIAhxg4iaIAiCEDeIqAmCIAhxg4iaIAiCEDeIqAmCIAhxg4iaIAiCEDeIqAmCIAhxg4iaIAiCEDeIqAmCIAhxg4iaIAiCEDeIqAmCIAhxg4iaIAiCEDeIqAmCIAhxg4iaIAiCEDeIqAmCIAhxQ1KoDrGKyfOIFCZTApgSQ3ULn4QIngtISEgAekN1CxuTKZLvHpH9MIj89SUkmKAnVK/wifT1CYIQGUyGYRihOgmCIAjCREDMj4IgCELcMLbmx/f+GKqHMFFJSIL0O0P1EgRBiCpjK2rOg6F6CBOVpFQRNUEQxh0xPwqCIAhxw9iu1IQQdKF3Dt1DS0lG7+xCS0keuqMgCOi6PnQHTUNDR9c1NG3orsLEQEQthnA8+xMydjQN2Wf7jzdS9tWdrN/9HdYvFGEThMHQHaWYMzYM3Wl7HY2WIjLWFdNuFCG6NvERUYshrPZPsf/7XWpidTZTsuVpDty1iupPzff0MJOZkUQNyOQThBBo1hyq91d7JoubquLVbGvIp7y6GCuADtbsTKiygl1mVLwgohZDWBYuJG+h99k5dgD5K24kJ3OuX69z6ICWAnS243S1oaeYSbdOHyB0+qU2nBfbYZB2QYhrLDZy8mx9T13pQHohhTk5/bo5AKxK+9wuJy63jsWajtUSMGN0N06nCx0Nqy0dC0IsIqIW4wTbY9OANTueYM1rx3wHr8/jxE9XkA5AF1XlT7Dycb927qJu34NkTkMQJiF63386gZYOKxxYQ17mGg40+I5urW5ic44VAEdVCRkrt/QbVV7XTGGmBSG2EO/HCYgF4LVjbN+6keb9j3HwW3fBu1VUHe8CwFG9l5WPH2Ptt75C077HaPz+auAVsr5T753agiAEcMC6nbqmZppPHGQjsKW4Ch3QHRVK0NbuprGpmabGatYCa7KKqJcJFXOIqE1A3ID9bzdSfMcCLClmsnOzyQcq320GLlL6nTfg/jWU5l6PdZoZW2Y2jd+6CV6rofbS0OcWhMmHG8jlYGUxmVYLlvRsisvzoaEShw41pWuAjTSWFmGzWrDaciht3A3so6rWNfSphTFHzI8TlOLbrxpwTDmYdOMEeK4c83PlA/o4XF3k3CBek4LgQwd7IZlavyMAaOi4nQA7yTDvHDCywuHqM1EKsYGI2gRkMItHv+PX51D9tzeqnzuBFIBkbNEKA+jtgXdfgkXZKruIIEwoQrlR2Smv3kGgfFltPkcUITYQUYs3UqaTcz3ss15Fdub1fVNVP/462Y+3UVGycMDEjAjn3wGjB9rdcEt+qN6CMEHQsOXYYV86tuwc32pOr6coezMFlZWIrMUWsqcWD/TzkDRT+KUceOVpsrfVUnP8DLWvvk7B3zxNw0VzdAQN4KobQJsJ54/BqTdC9RaECYEOZBaWAPvIyi6isqaW+toqNmdnsaeBgW7/wrgjK7UYxgK4UwYeHzCNUpJIB9xT1cdpvWMldY9qZH1nLyue8/S5K4+6b2VHL7YmIQluXgV15fDeSzBrEUydE2qUIIwtQTVII/BuT9PSAbBogDWP5rpyirLWsHrFHk+PfMrrysi2IMQYY1sk9MX/CNVDiDB6ZxeQrIK18QVkaymB9zPd6J1m0heOMEg7KRXu3qhWacdfVIK2/POQGKU9PEEYB7y5JDVvokjdjcPp8j0P6GtNtyGLubFFVmpxTmDiY1d9NRn/9Ar26+fTnyYa3l1O4/7PYAuyOgyba5fDhXeh+SQcewEyVoYaIQgThgHi5aqhMGM12O0D+jY0NFDe2E6hTVRtLJGVmhAZvCs1gM7L8Noe9b9tJcy/ZeixgiAIEUIcRYTIkzIVMh4AkwneeQEufxhqhCAIQkQQUROiw6xFkP4x6OmCI8+q/wVBEKKMiJoQPRbdCWmL1Ert2AuheguCIIwaETUhephMcNMDyhzpOgznHKFGCIIgjIqx9X4U9+74ZbDP1ru/duhpOPocTJ8P5pnB+wqCIIwSWakJ0WfWIrj2DujugLefVXkiBUEQooCImjA2LL4LZsyH1iaV+FgQBCEKiKgJY0NCIty0SsWzffCGSoAsCIIQYUTUYgSVziqadI1/1WvzTBWMDeDYD+0tQ/cXhFhAj/7MGYOXmDSIqMUCnafJvn8Tpe9HS9i6qPjSJszPnA7VMfpctQSuWS77a8IEQafMbMZUGj3PXUdZJmZz2fjfdMYJImqxQEoSeTcsiF4GfYBZkDsgifE4cf09vv21E6+E6i0I44p1Yy4bo1azCdCsYJf8kJEiRr7l4gP3xVZcl9ohxUy6dYYv231nF26SsaR04Xz/IjpgmTUL6zSvG/w8Sv5zI3iSD+ud6hxaZzsOVytgJn2hOp9+qRXnxXYs02ZgnWXufwGd7bgutuLuTMYya7rf+WMM7/7aa7vh1KsqQHvWolCjBGHE6G4XLpcbHQ1renq/zPm6241msaC7nTicOprFQnq61TN/NfJ2VJLjnc26jhsNi6bjdDj7n68vY78Fa9/4vlfB5XLhdutoFivpVgtCdBBRiwSdpyn+2++z87j/wQWUP7GRwoXJOF78LzJKjrL2Dtjzqq/H1h2PsTlzBnSeJfP+bax/fBvrb4DKv/3/WHN8Kbkc5YC38w13s+vei2z46WHfCT69jvav3ooGOF78HRn/8iL+2D+9jlpPe8xhnglLPqH21hp/D7evVTFtghBR3FQU57BmZ0O/oxvLG9lRaAPdQUFaBgfy82HfPl8H+1ZO1G8mHZ0yk5l1u+ow1mfiqCggY90B8nNhX9/ktLN9VyGPbNji/wo0tu/ApoHuqCA7Yw39r2ATje0lSAL/yCPmxwhQU/Z9dh5fQPl/bqL5uX/jxOMPk8sZyurPqQ4pMwDYQz51v/03miu+zkZgy48dyo6eAunQV/NMFSw8ivb3f0vz7/6N6r+/HY6/zIafdlH++GO0/+5RducBvzlA7SXg0nElaJ9+mMbf/hvNv3uU8s8tpeE3f8LRryp2jDH/FrDeorL5v/17GMOCEcLkwF1TwpqdDWwsP0hTczPNJw6yyQ47S2rV3NM8023fPrbvr6O5vZmDuzdCwxaq6tUul5YLud6SM5qyQ+7TdtHY3Exj9S6ggUc2bGHrXu/4tcBOKuvdgIsdGWtoYCPVjU00NzdzsHwTsI0ah+yiRQMRtQhgzSxk1/9ZQ+FN87CkmElfuIBMgL49rHZgAQe/cw+Zs8xYrOkU/59b4PjhPtEZ8Of98YepePAGLNPM5OTdTS6Q/38KKLxhBtq0WRR97mHgDE5XF6RMZ/dXPk1dURa2WWYs02aRedPVQHJsrtL8ufETqqBo80k4eTBUb0EYHtYctm/fy2OF2VgtFizpNrLzAKtvZrgB+/Y6ivMysWgWsovWkw9U1juDnNANrKWxYj02iwVbThG7c4HccjYXeMdvJh+ocbgAjezd2ymve4wcmxWLxYItMxuAIHVFhQggohYBbHdkkT3rHMWP/l9MOX+P6f5tbMNv5UUX3HA3mX7FN70iFvTvuhNy713ga0tJQgMKbpjV16VPBFOAlHkU5i3CUVVJXs7fY8r5ezIefREI2HOLNs2nQvUYSGIy3LxK/e/8E1w8GWqEIISNxZZHYY6FsuICTCYTJlMaq7cxYOIV59kGjA2uOTrk5pHu16gBuYWZA3qqLhZyCguxOsooyMvEZDKRlrHar12INCJqo6adsm9tIqv4SZw3ZVG94x9o+u0mtt8Aej/T3zCdNgLMhkMZKtzH/4T5U99nzY8vUvidv6Xuicdo3JEPtA4xKsI0n4JD/w3v/U+ongOZOkftrxmG2l/rvBxqhCCERX1pHvOzVvCIM5u91dU0NjVRvd3eb0INNrcGnXOuwRr6owO468kzz2fFmkfILnyMg3WNNJ2oxs7Qc1oYOeIoMlo6W6l8FXI3b6Iyb57n4Flqjvuv1KKL67gDWEpdzf9WZk/AcfwMkKxWcmOBNh1MCXDqdTBbhl/tev4t4D6lsvm//XvI/EyoEYIQAh1H5QHI3U17ZZFnZaRTX6NcNsZipaS76jkA7G5sp8jjFaI76mkAtDG5gsmHrNRGi0c0DpS8SEX9aerffouinG3sA/a9eBJXCEeNiNytpQAcZcdv6qh//zSVz5ST8S+vAYepqR+j1ZrZAkvuVT+/8yK0nBmye1Bu/ARoM9X+2qk3QvUWhPA4sIPSiipqamooLTKzZh9woILKwRw1IjIpvSjh2lFSSk19PTWVpZgz1gBQVVMT2ZcSABG1CDCPHTvygddYU/x9sv52N+7PfZqteQvgfyrIqzoLJINvOwwALWUWMAuLRxRD3bMFtntXgdZpydg+XsD2jy9gz4+fJOsL32f1D9rZtfkBADYUl1M/Vh6Q82+BhbeD0auqXettoUb0x7u/lpAI772kgrMFYcRoFJRWk08Dj6xZyYoVK9jg3sSurWuBfazOqEAnyNzTNNIBqyXYrNQ87pJDYwFsVguarYDq7fk07HmEFVlZrFi9gU27drEW2LNhBWUOzxWEcU4hPEyGMYZ+1C9tD9VjQqN3dkGKz+NQv9SFNpYB0J0qv6PmCeJWz5P7mUG9wdt9ffroQu/0BXkPm6RUuOtv1b7YW5VqtTXtKrA/BEnDtIGeegOOv6hWbbevVecWhFGg60o8vB6Huq6DNpYGQB31ktogz/EL3h54VbquY023EVRnhX6IqE0ynP9TyeJHX8Z+w4KAljM0HL+dxufWYBumBgE+UQPo7oSGp+HSeZUt5NYCVQV7OLxVCR++A3OWqPGCEO84K8lcvBrs9gFNDQ0NlDe2UyjR2iERURMig7+ogTI9vvkr6GpXJsnFdw0+NhjdHfDaHtBb4IZ74drloUYIgiDInpoQJbTpan/MlADvvwZNfum9wiEpVfbXBEEYNiJqQvSYuWB0HpEz5kP6Xao8zZFnoSdapXkEQYgXRNSE6DJaj8iFd6h9Ob0Fjr0QqrcgCJMcETUh+qR/TAlTVzsceUY5koSLyQQ3PaAy+LsOD9+MKQjCpGJsHUXOHQvVQ5ioJCTCnOsHbx+tR+TFk3DoaUhIguWfV6m1BEEQAhhbURPzUfySkAQ35AzdZ7Qekc4/qUrZU+coYUscwxhAQRAmBGJ+FMaO0XpELrpTrfIufyg3SIIgBEVELSbp7JcTTu8IvQcVTp+YYDQekbK/JkQKXWX08HsaAl3yNE4QRNRiEMdv/wnz0u/iAOg4TvayByh9b3DR0t87gDlEn5hiNB6RKVMhQ+W15J0X1KpNEIaFTkWBGXN2GTqgO8owmzOpH0K1HGUFmE1Fak4KMY2IWiySmgJcQu9QP+fZrscy5ACV12pCJdAZjUfkrEVwzXIVt3bkWRXHJgjDQaOv+rWmWbCTN/T80TTAHcaKThhvRNRigks433sfx3suT9bwaYBXpBZS8tQPKbyuf0JG1wfv43jvfVwdA+u26a2XPP+7qG98H8cHF2PPdOI1JU67SnlEvv17lQw5XK6/RwVnX/4Q3n0pVG9hsuN24XA4cDhdAGgWv7b0AmrbH6N/WkU3TocDh8PpmZNqQF86Yrfb87+T+np13pibY5MUKRI6zrgbq0kr+PcgLR9T/3W8T+ayL7K+8vesz0iB1uMU3b6BPX49+6U/7Xifgtu/yIG//Bj84U++47YvcmJfIenEEEkpcPODyiOy+aTybgzXIzIhEW5aBa/vgQ/eAMu1cNWSUKOESUh9WTFZ63YObMhX/+mOMswZO6hrrydTA3d9BWlZawb29w2gIC2DA/n5sG+fr9m+lRP1m2Nrjk1CZKU2nnQcp7Dg34H72b//1zS/9muqH7u/f59USAe0VIBLlD2sBG3XEz+n+dBeGp/YSENAfyvAH/7E9p/tovnQXg5uXQ2On1PVOAwT31gR6BF5/p1QI3yYZ4JtpfrZsR/aW4buL0w69PpSJWj5u2hsaqa5qZFd+YG9NMCqVmF6PYVZa4C17G9sorm5iepdawd0twLs28f2/XU0tzdzcPdGaNhC1VAbc8KYIKI2jjj/+BwHgF2VG8i7bhaWGbPIWbOR8r/s369vmnzQwDoH5D62i/UfXYgldRq2j36Sxq39hdAN2P9xF8V334AldRrZn/ok+UBlo4uYxN8j0nFgeB6RVy1R+2vdHfC27K8J/anasQHIpa5iPTarBYvVxvqKOrXmCqI/zqoyNSfrdpBns2KxWMlZX0p5gBC6Afv2OorzMrFoFrKL1qs5Vu8ccE5hbBFRG0f0jrPAx8i5bprf0RQyHwhYrXn7d6qVVkHmwn7HbZm3Dehb/Bf9+0CMO5J4PSJ7u4fvEXn9PSogu7VJ9tcEP3R0N2Av7L9fptkoHLBa84zQnUA+OTaL/wAyCwNWa0Bxnm3AsZieY5MEEbUYYOAN46UgvQYncPxgBpCoGkZ6uuCDN6FjGGIUSKBHZE93qBGKhERlwkxMVvtrwzFhCvGN3vfPsBg4wh2ifejjwtghojaOWOdkAH+i7I/+ZsGLVP3Uz8HDD23OLOzAht/220Wj9oXngvYfU65chPZm+KAOOq+E6h2cQI/IowfC94icOgeWfEL97NgPnZeH7i9MAjSsOXZo2ECV0++wu5aSfQRdVlmt2cA+yvoNcFFV4ucQIsQ0ImrjiOWj97MJ2Pl3D1Py+wbqGxso3fxZHnEMMmCGnZIvAE/8IwU/raa28TiV5d9lxfdfH2SAh46hmyPC9Hkw82ro7YLTb0L3CO9ZvR6RyWa14nIGF/igzL8FrLd49teGGSIgxCU5RSUArF5cQEVNLfU1lRSlrVDOVUH+RC05RWpOrl5MSUUN9fU1lBbN55H+95EDGeGfuxB5RNTGlVmUvLaLTX8BW/7+G2QVfIMNjR8j3wbg22fzv6HM+/9+TfmXb2Pf9/+dOws2sPqxd1nrcSyxpAzsD0BqCumAdUZAQFukmWuDafOUqHwwCmEbjUfkjZ9Qq7bmk3DyYKjeQrxjzaO5rpxc9rFmxZ1krVhNfX6+CoOxaX5zxfuTlZLmOjblwpY1K8jKWsGG+nzy7YBfCoQBc0zT1ByzyK7aeCNZ+mOFDpXvUUsNV3g60TuG01+ht17E+eEltJTAcZ3ondNIv27WyDa7vVn6DQNcR+DSWbXauvY2SBzeNfbRdFj9zSQkwbJPKS/JcLj8IbzxC+V0suwhlYFEmPToug5oKjlIOOgq36MW9gCF2+XA5Q7yOrqOrlmxpVuCDRMihIjaJMP5wn+y+O/2YrcF1j57lwbH/TQe+ia21KBDh8a/9IxhQNMhJS4pU5WwJYwwzv/EK2q1lmyGj3xOreLC4UwDHH1Ovf7ta9X/ghB1dCqLs1m9E+z9siIANNCQWU57WeHIbhyFsBBREyJDYD01oxdO1yvnEW0GXP0R5aU4XAwD3qpU5sRpV0HmZyExTIF8qxI+fEd5VNofGl5RUkEQJiSypyZEB1MCLLArQdNb1cppJIHRo/GIzFgJ2kzZXxOESYSImhA9EhLh6iwlbO3NStiM3lCjBjJSj8ikVOVwkpCoxrQ2hRohCMIER0RNiC4JSUrYUqYqYWt6K/yVlj8j9YicMR+uu0e95pFnlWemIAhxi4iaEH0SkuCaj6iV1uUPlXfkSBhpjshrl8OcJaC3QOP+UL0FQZjAjK2jyLsvh+ohTFQSEkOXjenW4dTrarU082oV1zYSRuIR2d0Br+1RwnbDvUroBEGIO8ZW1A5Lqpm4JTEZMv4qVC/ouAyn31C5IkcqbCP1iGxtgjd/qUyYWWuUaVIQhLhCzI/C2JI6Ve2xJSZDy2m48G6oEQPxekROSRueR+SM+Sppcm+P7K8JQpwioiaMPanTlbCZEuGiU624hstIPSIX3ani1mR/TRDiEhG1SYLeEWNVr1Onw9WZyhT44XFofj/UiIFMSRu+R6R3lZcyVQVmnwmVqVaY8HjSXQmTAxG1SYB+4kXMt22iPtasbWYLzF8GmJTAtIbpzejPzAWwZIX6OVyPyJSpkPGAErjj1cojU4hTdMqyzZhL60N1FOIEEbVJQTJgic18c1Nng/VmwATnHNB2NtSIgcy/VZkzh1M1e9Yitb/W06XG9HSFGiFMUDQr5A4zKbEwcRFRE8af6fM8woaKYbt8Yej+wbj+7uFXzV50p3Ieufyh5CUVhDhBRG0SoKUAuGN7X2H6PI97vzfD/zCFbSQekSYT3LRKpdNyHValboS45IAe03/9QgSROLVJgt7ROezaa8Mi3Di1UDSfVI4jpgRlUjRbQo3oz5VmqH9KrdgW3h46IByUg8nhSvU7LP+8KjIqxBE6uj6MOmrChEZWapOEqApaJElbBLOv85Wu6Qhjf8yfkXhEXrUErlku+2txiwjaZEJETYgcVy6G6hEesxbDrHQweuB0ncpCMhxG4hF5/T2+/bV3a0L1FgQhRhFREyJDezOc+BOc/PPIyssEMvt6lUarpwvOjEDYhusRmZDo2187XR/eCk8QhJhDRE2IDKZElX/x0jlw1ioxGS1zbTBtnkpndaZOJUQeDsP1iDTPBNtK9bNjP7S3DN1fEISYQ0RNiAzaDEi/S6WtunIB3vsf6BqmCAXDerNy3OjugA/ehJ5hZEYZiUfkVUtUppPuDnj72ZFV6xYEYdwQURMihzYdFn9cpcDqaIMT/xPa7BcKk0mZEqfOUSuuD94c3ipwJDkir89Rr9faBO++FKq3IAgxhLj0TzL01macFy6jpQR6Q3aid04lfXHayDKP+Lv093bDyVfVii0xGa69XWUOGQ1eb8j2ZrUqvDpLFR8Nl5Yz0PAbdZ6bHlArsqG4/CG88Qu1p3dLQej+wgRAx+Vw4ta0AX/juq5jsaZjtYzor1+IIUTUJhnOF3/O4o3PYl+6OKDlBA1H76Xx9a9jSw06dGgC49SMXuVSf+mccq+/9naYPnfw8eHQ2wOn3wS91SNsH1EOHuHS9BYc+4MSw2WfUl6SQ/Y/rPbWklLhtrVqz02YwDgoNmWw027HHtjU0EBmeSNlhSOo7yfEFCJqQmQIFnxteLKDNL8PmOBqO1iuDTo8bHq7VfXszstgTvNl+g+X4y+pMIFwq2Y37lfZRmbMh4/8tTKHCoIQswzj20AQhonJBAvscNVSwFDmw3PHQo0amoQkuOYjKtN+e7NafQ0nhGC4HpE3fsK3v3by4NB9BUEYd0TUhOgz90a1osIE54+qGmajMRAkpihhSzarva+mt8I/33A9IhOTVYaShETlZHLx5OB9BUEYd0TUhLHBci0svEPFszW/D++/Ojp3ea+wJaUqYXMdCTXCx3A9IqfOgevuUeLX+Htl+hQEISYRURPGjulzYfHH1Orn0jklJsNxzw8kSYMFWZ7znVX12MJluDkir10Oc5YoQXv79+GvDAVBGFPG1lHkZG2oHsJExZSosuKHg94G7/9Z7WulTodF2ZA8Clfqjjbl/NHTpfbL5twQaoSP4XhEdnfAa3tAb1HZ/9M/NnhfQRDGhbEVtdf2hOohTFQSU+Aja0L18tGlq5ucjjZlBlz40dCeiEPR0Qan3lBJkGelq9yR4TIcj8jWJqgrV84pyx5SFbQFQYgZxPwojA/JGlz3cZgyW63YnK8MvzCoP6nTfe79F52qLlu4DMcjcsZ82V8ThBhGRE0YPxKSID0bZixQpsOTtWolNFLMFpi/DDCpQqOtYZScgeF7RAburwmCEDOIqE0CXG+9RY3zSqhu44MpQYlE2kJl0jv1OrhPhRo1OFNnqyTIJpNyHAlX2IbrEZmxUsXKNZ9UZk8hZnHVVlHjcIfqJsQJImpxTxdVX/w+K96I8TIqfUHajD5Ie/o8VbYGlLC1nR26v5fheEQmpULGA0o833tpdCtMIYroVN25khU1rlAdhThBRC3O0TuuoGeDvfMKekdXqO7jSySDtGcsUMJmGCqGLdz9uuFUzZ61SHlA9vaoQqTdHYP3FcYFXXej54Jdd6PrESiFJMQ84v0Yx+jHqjF/vv97XvfHMjJHkrA4FMP1fhyKtnPKDGn0wLS5cO1tw0tc7E/zSbW/ZkpQmf3NllAjFOF6RBoGNDytXmfOEri1IHg/YczR60sxZ23od6yu3SBzFNEjQuwjK7U4Rlv0ERqf+jZblwAPbKCxcmd0BC3SeIO0k1J9QdrdwygO6k/aIuXi31e6xh1igIdwPSK9TiYpU+HDd2R/LYbQbAU0Nh5kqx1YW07jiSYRtEmAiFo8kzoTW/r1pM+G3DsXYlswM9SI2MFsUQVHk81KiE6MopL27OuVQBk9Stg6wihcOhyPyJSpsr8Wi2hWbLZs0q2Qm5eJLd0aaoQQB4ioxT2efbQRLnSGxUhXU4ORMsVXSbvz8ugqac+5AWZe7RG2OugII75sOB6RsxbBtXf49td6Ynz/ctKg9/tPiH9E1ITI0NMNh5+BD+pG7twRjEgGac+1wbR5SnDO1EF3GN90w/GIXHyXCs7WW+DYC4P3EwQhaoioTRZSQnUYJZfOQdcVlUvx6HPhrYTCJZJB2tabVdb97g744M3whC3QI/LS+eD9EhLhplVqL9B1WFXOFmID2UubNIioTRIO7Kmm7DkH7lAdR8rMBWpFlZCo4sLe/h24T4caFT7eIO3Z1/mCtC+8F2rUQEwmmH+rEraudiVsPWGYTeffqrwnez0r0sHMoOaZYFupfn7nBVUWRxh3DpSUUlZRE72/fyFmEFGLe5LJ/OQD8M5zrHv09zijGUo1+zrlXGG2qJXQOy9G3hxpvVk9QMWfDaeOmhdTghIpc5pP2MIpgeP1iOxoG9oj8qolcM1ytaqU/bVxRiOzaBM07GTdmhKcYSzMhYmNxKlNMvS2FpwXrqClJAe0dKF3TiE9febILDX+cWq9PeA86FtJTZ+nVnEpUwcfP1zcp+B0A2CoFFvzl6lV2HDo7YHTb4LeCtoMuPojoePhujtVlv4rzUq8bnogeL/eHtWvtQmst6i0WsK4o7tdOF1uNC3wr1xH1y2k26wj+/sXYgYRtUmGs+ZXLP7Wc9iXLAxoeZ+Gdz5O4x+/hG0ksWzBgq8vvAcn/6xWKkmpypPRcnXw8SMhEkHavd3qHJ2X1cptgT30Oa40Q/1TapW3KFvt9wWjvQVe36NWrbaVMP+W4P2EMcNZWczi1Tux2+0BLQ00NKylsb0Mm6jahEZETYgMg2UU0dvgeLUn6Nmkvtivzhz+qmow2t3w/qtKOMwWVZctaZheMT2dSti62pWweUvYDEXLGWj4jdrfu+kBtWoLxjmHMkEmJsPt69SemyAIUUP21ITook1XX/qzrwMMn3dkpOqQeYO0U6b6grQ7h1mRIDEFrvmIJ9C7WV1jqHu9cD0i59qU+bGnC95+VpklBUGIGiJqQvRJSFR7atd9XK1Y2s7CkQh6R0YiSDtJU8KWlKo8FsNxQAnXI/LGTyhvy9YmePel4H0EQYgIImrC2DH7Orjpk9HxjkxK8QVpd3eMLEg7SYMFWUp4L51VpsNQhOMRmZisArgTk+GDN4YO4BYEYVSIqAljy2DmyK72UCNDE4kg7dSpavVlSoSW06GFLViOyGBMnQNLPqF+duxXTiSCIEScsXUUafhNqB7CRCUxGW7JD9WrP/7ekclmVZssUt6RriO+kALrzR4RHQbtbpX82OhRWf5nXz90/3A9Ihv3q2wjM+ZD1prQnpaCIAyLsRW1wTbThYmPKQGmzg7VayDR9I688J5vb2z2db6g7XBpd6vkx0avSoictmjo/uF4RPZ0wau7VX7Ia5bDknsH9hEEYcSI+VEYX7zmyLk2Im6OnH2dil3DpATu1BvD278zW1RQNyZVaLT5/aH7h+MR6d1fS0hU+2sXTw7sIwjCiBFRE8afhERYdIcShEh7R86YDwvvUHtkrWdUTNtw3OqnzlYrPJNJFQFtPTN0/3A8ImfMh+vuUT83/j5y4Q2CIIioCTGE5Vqfd2RXe+S8I0dbSXv6PM9KEuU40nZ26P7heEReuxzmLFGC9vbvR/87CoIAiKgJsUa0zJGjDdKesUCJkGGofbqhwgXC9YjMWAnaTGg+CScPBu8jCMKwEFETYo9omSO9Qdpmiy9Iu90dapSPtIXKYQQDmg4NLWzeqtmJKZ6q2bVB+qT69tecf5L9NUGIAImPPfbYY6E6RYzh3BnHHTquYyf44MJluhNTmaYl+TW1oCdpJKHjPHYCfepspiWp4873TuG6cJFu77F+tOA6eYoPzgU5J+A+ew7nmTNc6u5BmzaVAcMjicmkRCOSaDMhLR3aXNBxCS46lWfhdOvIvSMTEmHmNXDlojIPuk+r10kNs4KA2QIYKp3WpXMqV2TyIBlwk80q0fL5Y6qqwNTZAz1EU6cr4bt4ApqdYL1JPRcii+7GedyJ61I3Sdo0fFNFx+2+pLL2624cx11Mm2NRc8U75sMP6Z42Z+D8c7twOj8Ick6Fy+Xkgw9cdHcnMW2aZEkeK2SlNga4D+0lc/pC5i+/i4zltzH/2oVkbtrrKVj4DkVXLcG8/ocUr17I4uV3UXFMx/G7H2K6agmLl99FxvK7mH/VXIp+/nrfOV1/LMM0fQnzb/GdM+8Hr6DKRZ2jtHAuaTfcQsbyu1h8wy2Yp3+WqpMTsJhUNMyRCYm+IG2jRzmPDCdIe/b1MPNqJbCn65U4DsasRaE9Iq9drvbgZH8tKtRXbMZkTmNxRgYZi+eTZjZRXKGC6nVHBWlpaRSUlJBnTiMjYzEOHRyVJb4xGRnMN5soKvWttmt2FGBKm9/vnCVVTtXoqqHAZGL+/MVq7Pw0THklOAdemhAFRNSijX6Yorv+hgZWsv+Vw7SfOkz1js/S8J9/Q9Fv3gevzvzyO+w8+1nKf7uXAtN+MtZ8Bz7xKAffOEzT8RfZ9dc3s6f4r9j8x3PAOXb81bfg1kepO/4Ozadeofxvb+bAP62m4piO6/n/y4bfw6byF2k+/w4n/vB/sVPNyuL9TEBZi4450r+SNsbwK2nPtXmErUfFsnUM4cE4/1ZYsGxoj8ibHlD7fc0nlcgKEUF3lJG1Zhvkb6euqZnmpkZ25cPONRlUOAFP9bR9W7bgWrud/dV1pDsryFi9BXK3crCxiaamOnattbNnw51srnGBq4oVj+wjd9NemprbaT5xkI3AlpXrcQA1JSvYRy5765pob27mYPlGOLCF9RVhpF0TRk1ULVICuP5YwT5g+ys/JG/ZTAByvvhtdh8D5mmgdXhWbF+h8cXvYNOgatNcYCV15V8nUwOYy/rSPTh+eRvbfvAKj/3F8r4VmbsFLDcuoXDbr7F+8n1sCzU41gGA7m4BbiH9jtVUvTIXB0smdgFEr3fkey+r/ax3Xhx9sLb1ZmUm9FbR7moPP0h7rk15Nl46C2fqVN7IwcyYN+So1FjNJ5VHZOZnIdFv+qVMhYwH4NDTKm9l2kLl+i+MiprSdUAuByuKPXPJwvqygziLK7Fq+G4q15ZTW1aIBlQVZwH51FVu9oyxsr6sEseexWwrqeGxMjWLXLobN2BLz2ZHUx0FDo108KzIXLjdbrDYyC4soc5agGZLR4g+slKLMu6WU8BK8m6c6Xd0LkXbfkTRX8ztO5K7o9BTnFDHfRK4dWVAscKFFDwCvHAOnYWs3/01eOunrFi+BNP0ueStr0CfuRCrBtZPrGXTrbBzw2rSrpqLafpnKTvUge1G3+tFhc52ZZKLJtp0VXAzkuZIb5C2KcEvSDvM38N6s8rr2N2hhK17kLWwKSG0R+SsRSpVWG+PqsHW3TGwjzAMdNxOILfII04eLNmUlJWQY/Ud2lVc4Lnh84yxFwTMv3QKNgEHXOjWPPZutNOwcx0ZaWZMJhNFZfVYbOloQM76cuw0sG5FBmaTCVPeeup1C+nWCX1LOWEQURsndPc53H7ff1pq6HLTegdwq+pn+/S3MdreofEPe9ld8jVcv/wOK++6heLnz4G2hJI/naP5+CtU7/4hmx44x5YNhcy/6l+jZ9fv6YKuK3DFPTqBCYeEhMibI2fMVzkbvUHazlplLgyFyaTMi+Y0JUIfvKmKjgYjHI/IRXeq/TW9ReWJFKKC2+XqZ4rXwtAbXQfsGqBRsKMeo7mJg9XlbN+Uz54t68iab6bSBZqtkHqjnabGg5Tv3k6+aw/rVmZhLq4K9RJCBBBRizKWmTcA+yl77Zzf0XcouPYW0n5+uO+Ib4JpWG+8Gd76OlX+Mb7uw5T+J7BwJhrvUDx9BaWvgu2Ouyj6u29Tf/5F7IDjbAuO3zyKqbAM5i0h59OFlFRUU1dyM3C8n5BGlIQk5aKOobxc293DC3AeCV5z5NTZkQnWnjrbF6R95QK89z/h/Q6mBFhgV8LW1a6EbTBBnJKmVmymBFVFILAMjTfGLWWqymBy6o3g5xHCQMOSDhwoodblO6o7ykibP5/SenfQMVabHRrWUeU3Bnc9pTuBdAs4Ksg0FVGLleycQopLKmmv2666ud1UFmdSUFqP1ZZNYVExlfXtbAdwuCfmnvYEQ0QtyljvK2QtsO2vPkvp86/jOPQKJYV3cQAov++GoGNy/u7bAKy+4bOU/u4Vav+4l4Jr72UfsPsfV6KRChxhw18WUPq7V6g/dJiKn/9fGjzjLRrw+2+Rs6mMmkOHqf/jXnb8UiX2DeOGdGSYTJA6DcwzlcD19iivwPbW8E15IyHS5kj/IO2OtvCDtBMSlbBpM5QX4+m6wYUtlEekd38N4L2XhueZKfQjZ3050MCKvGIqa+upr6mgMGMdkE+ezRJ8THEJAKvn51FaWUNtTQUFaVlq/j1WgMWi0cAe7swpprKmnvr6Gkp3lHlGa2juBvZtuJPi0krq6+upqSjF2ypEH8nSPxacfYXi1avZ+Zb3wM1s/+1PKb5vCfAOBdPvwrL7Fco+7cvq7j72/yhaXsS+viMr2P3/fPtw+slXWL9mNXv6zgn5/1xG2d//FRZ0an7+TVYU/9rXeOtK9pb+kIJl/nt7ESQwS3+XroTF6AVMkGJWDhnRxH1Kra4iUcqmuxPe/7NacSalqvyRZkuoUUrITr2uhE2bAVd/ZPDyMu+8CGcOqVi1zM8ogQ5s/+ANFUd3+1rPSlgYLq7aMoruXEffLqZ9LfsrdihRc9Vgmr+C8sZ2Cv020dyOSooyVvvNv1x2V5dR5NmIc9aUUrBiQ9+NJNjZWl7G5sJM0J2Uri9gwx6/1vytlJVtJtOCEGVE1MYSXUcHFegZJrquDBaDjglxTjVe69sz0N3ncJ5rCbKH14HeMZP0G+eObDUXrPSMYagvd6/DQ0IiJE9Re0vRQm/zeUeOtpRNb48SqEvn1F7btbepPJKh6OlU47ralUny6kz1/gRi9MJb+5RH5LSrBnpE9vZAXblaqc21qewjwogJOZeCEGpMWO2a1jen3C4HLrdvPvp1RNes2NItCKNDRG2S4fzdoyxe81Pstwa6rR+h4a3P0nj+RwFeX2EyVD213m4Vx+U1xyUkgzYt+Bd9JOjtVaLirVo9fZ5KMjySlaJhqD2y1jOACa62q728UHTr6hq6O5R35PxlwYW1u1MJ15VmVX/tpgf6t7e3wOt71HlsK5VICxMUncribFbvBLs9sK2Bhsxy2j1hBcLIEVETIkM4RULH2iQZSXPkSCppd1z2uPl3wLR5vhI2gVxphjfL1QovWNXs8+/A4Url6bn880okBUEIiuR+FCJDOLkfE5MgSVOi1tutxKanUwniYPtOo8GbO/LyedBbR5c7ctpcJSqXzqtHb7c6NhRJKTBltgrO7mhVf//BzJehckROna2EseUDcH8A1lui834JQhwQJfuPIAzCWHtJRtI7ciRB2qlTVdFQU6ISN69JNJBQHpHX36Ni6S5/CMdeGDheEARARE0YLxKSlLClTFUi0dsVvcDtfsHaKaML1vYGaScmhx+knTrd5yzSchouvBu831A5IhMS4aZV6nVdh6HJF+MoCIIPETVhfEnWlKt8YOB2T1eIgSPAcq3yIBxtsPbU2ZB+V/8g7S596DFmi8dZJEGZQS+eCN7vhpzBq2abZ8KST6if33lBrdoEQejH2DqKNL8fqocwUTElgOWaUL2GJtBLMjFFme8i7SUZKe/IzisqK0jnZZ8jSqh9xcsX4EwDYKiCo2mLBvYJ5RHZuF+t1qbOgdu+IPtrguDH2Ira6fpQPYSJSkKiMp9FgrHyknSfgvdeUc4qI/WOHEmQdttZOHtErRDnZai6boEM5RHZ0wVv/EKt1K5ZDkvuHTheECYpEb4FFoQIMFYmyUiYI5NSlBhOm6s8FE/8Cdr883wGYfo8j+MKarXYdnZgn6FyRCYmq+tOTFYZRwLzRwrCJEZEbQKi6x2hukx8gnlJ6q3KeSKUx+FwSJ06eu/IhES1Qktb6Kuk7T419JgZC2DOEiWgriPBhW0oj8ipc3z7a479KkhbCBMdPcQWqDBxEVGLdVpOUFn1uqeQKKCfIPuGbEqPTwJhg4Fekj2dkfeSjIR3pMmkEhp7K2mfrodzx4Yek7ZQ7avhEbbLFwb2Gcojcv4tSoy7O+DtZ5XwCwNw1VZR43D3PXeUZWM2l0nG/DhFRC3G0c+/xeovfRendwZqkE4Us+3HKmNhkoyEOdJ6s69y9vmjHqeQIUhbBLPSUavEQ+p3CmQoj8il96sg89YmePelgWMnPTpVd65kRY3Ld0izeuqiCfGIiFoso3fgbu0A5uBubeszmeiAlgrobTiPn8Bx6sOgd516y4c4hmifcIyFSdJrjrR6ciyOxBzpH6Td/H7oIO3Z18PMq1Wf0/VKvPwZqmp2UqoS4oRE2V8Lgq670XPBrrv7kg8DYFU3hm6XE4fDgStooUEdl9PhaQ/SLMQk4v0Ys3RQek02G/wPPVaB8aUUCq75FPtyPgY1f/K13fQ1Tjz3v0n3jK36yd+zcqtfO5+j7sg3yZxJdIik92O4RNtLsuUMvPuyzzvy+ruVk0e4XL4Ap15Tq8kps5WJM8EvC38gTYdV1pHEZJWFJHV6//ahPCJPvQHHX1Qid9taJfyTHL2+FHNWvxlEXbuBVllExpo95NrhgN9Cemt1E5s9pWV0RxUFGSvxu31gY3kdOwozEWIbWanFLKkUHvwtdY9/DYDdT/+WpoeWAmABqPkT25+soPn4yxz8wefg7R9RdUTtszn2/Rsrt/6JtT/4GU1HXqbx6X8EfkXW31XFx4rNS7RNkjMX9DdHHn0ezrwVvjnSG6SdbA4vSNt6s0p83NOliox2XO7fPpRH5LXLleOJd38t3GuMYzRbAY2NB9lqB9aW03iiiUw/q+MB63bqmpppPnGQjcCWYu/8cLA+YyUH2Eh1YxPNTY3sWmtn55osyhxxNYPiEhG1GMZy7WIyb14A5JB952KsnptvN2B/rILiFUuxaNPJ/synyQcqj5wBzlD6d8/CQ1sp/cxtWGdOx3bnQzT+IAdqdlMbb05y0TZJ+psjDUOJzXDMkdr0gZW0/Z09/DGZlLBNnaOE7UydKmHjz1AekRkrfftrJw8y6dGs2GzZpFshNy8TW7rV0+AGcjlYWUym1YIlPZvi8nxoqMShg6uqlD1AeWMJOTYrFquN9aVl5APrKmsHfTkhNhBRi3GU934ngUus4pz0AX01zwAnwNNbMF+ThcnzyPj7GuAYjg+i6DXp78Aw1kTTSzIhAa79CNz4l/29I4O54QcjWVPCZrao63G+EtwhBJSwzb9VFRft7lC13Ho6+/cZzCPSf3/N+Se4eHLg+Scder//+p7YC/ut2rzNGuB2OwFYk2HGZDKphzlLVcGucMSXtSMOGcLAL8Qqg02qfsdvWkf1P3/M16ABpGC7PnXAuIjQ26sCiZPNqrxK4H7QWJGsqS93b8Xtzivq/5Spaq9qNHjNke/WqP2yo88rN/75t4QuZeMN0vZW0j7xp8EraZsS1HlPv6lWnR+8Cdd8RAmqlxtyVGxa80nlEemtmj1jvjJ5vvcyNP4ebl+rfnchAD9FG4RN5dXkWemHZrWFMVIYT2SlNlEIdyZpc8i5Cbg2new7byPnztvIWXEb2TPOUPyT13GHe57h0tOpvtg7L6myLOeOwpWLoUZFh2iaJEdjjhxOkHZConIW0WYogf7gzf7VAIbyiFx4hwoB6LwMb/9e9tcg/PkDWNNzALDZssnJyfE8MnGWFVMpe2oxj4hazNMJ/InSx5+h5sggezH95tl0CresgwP/RPYjT1Nz5Ci11c9QkPtPNJybTsCNZ+RI1mDeTeoLO9ms9oLcp+Ds28pMNx6BwV6TZPIUwBQ5k+RozJHeIO2rlhIySDshSQlbylQlUKfr+r+PSSlw84PqGs6/o1aBoF7jpgfUuOaTsr8GHCgppayixpfEYBB0wJJdyCZgXVY2OyprqK+vpay4kHV7GrCmW0KcQRhvxPwY42jXLGXTTbDtsX/C8YNbybk5yE2nlko64J6hTIvWFV+n7ifTyPq7f2fF054+uV+j7gcPKc/JaGEyqb0gc5pyimg7p1ZubS5VfdqcBtOu6m9GGwtSzMok2XUlsibJ0Zgj596orut0vQrS7m73lKYJGJeQpEyPp15Xq80zDeo1vJn5vR6Rh/fBiVeUo8hVS9TvlvEAHHpa7a/NuFo5mUw6NDKLNsGabaxb4yCzIAcNjcC7O01LB8CiAVgpaa7DUpjFI6tX9PXZWl5HcaYFIbaROLU4R+WJTEXzKKHe8iHO821oqYF7ax3oHdNJv2HOcCw1PgaLU+tqV9nkrzQDBmBSJrVpc0OXaYkG0Shv0+sJmnYdAYzhlbJpbVKmRaNXvScLbw9+Ld26ErbuDnVz4C066qXpLTj2ByWCWZ9VNw+gBO3EK0rkPvpFT/iDEDa6rrakvRMIHZfDiVvTBswTXdexWNOxWkY0g4QIIaI2yXBWfZfFX/oV9ptuDGg5RsPbq2g8/i/YRjInQwVf93arvZ/LF9R+Eqgv2qlXjU+gcGe7xwzpEdpIBG6PNFg73CDtjsseN/8O5fYfuLJ750U4c0g56Sz/nLoGw4CGp5UZcs4SuLVg4HmFYeCg2JTBTrsde2BTQwOZ5Y2UFdqCDRTGCBE1ITKEEjUvRq9yILl03ueqnpiiVhbmWWq/aqzo7fWZJEH9DqM1SXZchvf+qDwcvV6M4Zgj9TZVl62rXYnSomy1TxlIx2U4/YYSwGnz1Lm9GL3w1j4lYDMXwK2fUh6RnZfhzz9Xv+cN96pAbUGIUxIfe+yxx0J1ihhtrlA9hImKKSG8VYnJpMyO066CJE19OXfrag/uykUlNMna6MyB4WIyKWeLpBTlgNHbo774e3uUsIUSomAkpcCc69XvcekctDUpB5KZVw8tlkmpqhzNpfPqvWhtUqvYQHNhUgpMmQWtLuhsUzcGU+eoNpNJ5ZG8cFydp70ZrrpR3TRMmaVCLtzvqwTK4xVyIQhRRkRNiAzhipo/yZpKJZU6XQlJl64cSy59qL6sk7ShcyVGClOCZ1VkUmZSowe6OsDEyFZtJhPMnK+E2/2BcvC4cEKJT+q0wcclJoHlGrUH2XEJWk+r/bPAvcekVBXI3XZWndtf2BISlTv/2UYlbIlJatU2dbYS7JbTaiU3/5axeW8FYYwRURMiw0hEzUtiivqSnpKmnvd4PBQvf6jMcQnJaoUSbRKTfXkke7vVKrKnUwmF19twOGjTYdZitWemtyhhw6QcQgZbBZoSYOY1qn9HmxIhzaKcWfxJ1iB1hhK2jlbAUKsxUHtp0+bC+WNqZTZlthK1tIXQ7PQ47lyEebL3I8QfImpCZBiNqHlJSFSekVNmq/P1dChRa29WK5KEBLV6G4lZMFwibZIciTnSlKDau3WVTqvljHJk0QIcalKmqMel86pfQqK6OQD1f8oUFQh/4QTMXqxWiWmLwHVYXUuSplZxghBHjK2jyDlHqB7CRMWUoPZvIolhgO5WX9regOmEZGVqmzp7ZKun4RJJL8mReEeeO6bi2EAFbM8N8h63nYWzR9T7NWeJWpF5CeYRef4dOFyp3r/bvuAzXQpCHDC2ovZBXagewkQlIVEl2Y0W/sHc4FmVpCkz20j2vYZDoJekKVGZA0fyuiPxjnSfgtMNgKEEK1iQdusZtY8GMC9DOZ3A4B6R77yoiopOnQPLPz+y30UQYpCxNT+2ivkxbomE+XEoklLVnpE2E1U7rV0JzeUPlYNJYkr0vpgDTZLGKEySIzFHajOVObG1SZkZ290qcbG/h2jqdCX0Vy6q2m3JU5S5cTCPyLSF8OE7PqeUq5YEf21BmGCIqAmRIdqi5iUxWX3JT50NmJSgdberL/OOS2oVFSy+KxJEykvS3zvSK1ShvCNTp6q9xjaXWrVePq+E0F/YzBZ17ivNSsC0GWpfLZhHpOUasFyrsqC0udR7GqxigCBMMETUhMgwVqLmxZSgVifT5ihB6e5QjhW6W32pm0zRcyoJ5iXZPQIvSW26WkVdOh+ed2TKFBVwfemsEvC2szDdqkTKizkNMJRQXjqnPCRTpgT3iLRcCynT4MPjnowjN4xP6jJBiCB+t3nCmNNygsoDr4fMHD5aXG/+iZrjbaG6TUxMCWqFMy9DrUaSpyhHjJbTcK5R3Uj5l2yJFAkJ/cvbGD0jK2+TrIEtN/xSNt5K2qnTB6+kPft6tYozeqHpkK8gqbdqtmH4qmbPv0W9dk8XHHlW/T+ZcDuorAydvX+0uB01VNaIo9xYIKI2jujn32L1l76HUw/VczR0UJX/VVYc/DBUx4mP2aL2hubcoMxpvT1qVeN6WzlbeB09IkkkytuYTL5SNsnm0KVskjW47uNqteWtpH35Qv8+c21qVWf0qvR0HR7hC6ya3dUON35C3Rhc/hCOvTDg5eIZ3VXL6tXFUZ6D4KotZvWKWqmaPQaIqI0BrnNncBw/geuc3x213oG7tROYjbu1DV0H6MDd4umjt+E4fsY3CfQ2nMdP4Dh+Jvhd5SDtut6Gfg/YO9o8GfsnASlTVSqoeTZPzJtJ7bmdc8DFE8p0F2lSzEpUvWbJzitK3Iaz8vGWspk2V4nN0efhzFvBi3wmJEF6turb0wUna9X+nD/Wmz3C1qNWgB2X1fEbctRrdbSp1Rkm9bqJySqGLQ5Db1wuJw6HA5fL7Tuo67jdOmDF7XZ75qCO2+3po7txOJx+c9CN0+HA4XAOMgeDt+u6jlu3gl3H7cn6L0QPcemPJudep2D5V9jnf+yer3HiF5+j6to72eB//J/Kac85innFY+Rv/hp6yY84ANS98yZa7W4yHv5Rv1OXV71E4c0qf5+jJnh7AQcw5/17v+N177xJZjT8KKLt0j8aerqVR+CVCz6RSTYrRw3NEvl9t9GWtzEMNVfCKWVjGMrE2Py+en51ptorC2y//KES3AVZ6lq62qH+KbX/eNUSVZPtTIMyfSalwm1rx6d6QqRx1VAwf0X/OZi7lRNVxVSZzP3n4PY62vPqMWesI3/rVvQtW9QcbDfQakrIWLml36nL65op9NRXc1QN0m5zYjJn9Tu+va6d4qhMQgFkpRZVav7zK+zjTvZWPUf74Zc4+OPPwUs/Yv2+MxT+6b+pe/xrAOx+6r9pemgpkArAvpIf4XroH9j/VDnpHxxQgvXQYzS+8RJN1T9lLbAm75+o10E/Pni745ocGqvL2HoT8NBWGv/0XHQELdZJTFLCMDdDpaBKTFVf6s3vK4/AtnORrcw9WpPkcMyR/SppM7CStsmkTI7mNGV+PVOnHGqSzQOrZi+wq+Dt7g54+9nIvifjRE3JCvaRy966JtqbmzlYvhEObGF9hZPCE43U7d0KwO7qRpqKMvGW4N23ZQuutdvZX11HurNCCdba3TQ2NdPUWK3mWFaRmoOOIdqxcaKxkb1bc4G1VDeeoGhSTsKxQ0QtiigzwwXcrW0wczrZ+V+j7qmfsuPOBViuXUzmTQuAHLLvXIzV/6b4oa3U/uCvybtzKbW/2AJ8jsZ/fxDb3OlYb7iN0urHgBqq6j6kZqj2t8F2wzLSr4Lce27Edu0kzxxhMqlQgHk2mH2d8vzr7VKxYucalXPJcMyFoRitSXI45si5N6pVGiaVgeRMg6+fN8hbm6EE64M3ldB6q2abTKqQ6Pl3IGOl2o9sbYJ3Xxr4OhMMNQddyqRosZBdWEJddTU7ctKxpNvIzEwH8snOsWG1+A1cW05tWTF5OZnUlq4BNtJYWoTNasFqy6G0cTewj6paFzVDtrtJt9nITAdy88ixpUe3+rwgohZNcj6/FTvHWPeZ/4X52o9g+vy/U98xnfS5akWmtrg6CDSy7/pijud+sQP3KYBfkbHkI5iuVQ/ziscAqDjeFKL9gjo/vv+iSstpuHxxYtzhp05XQdBX3aiCunt7lYnubCNcPKkEKBKM1kvS6x15jceENZR3pOVaWHiHitVrfh/ef9X3WSQkwtVZar+xq10JW2+38oi87m6fR6TeqoQ0IVFlHDn/zsDXmUDkrC/HTgPrVmRgNpkw5a2nXreQblUzzLuPNmAOFhd45qCO2wmwkwyzCZNJPcwZ6wCocJwM0e7ynAVwDXgZIQpI7Ykoot2QS/2pHFzHj1Lz5ltU/Pz7rHv4WdZ98ccYj31s8HGpgUdupPypb2ANOGq9fhH1NUO1pzNmdOnKRRzAbVLxTtoMddcfrWDoSJBsVmIwY76vMrfuVo9IVub2miS9uSR7OuFKV3i5JL0mxGnz1OrJa44Mljty+lxY/DHlOHLpHDj/BAs/qjKZJCTBNR9RgtZ5WQnk1VlKMNubVY7Iw8+oHJHX3QPHXwTHfrVSjMR7MA5otkLqjQJcjnpqamup2PEI61buYd3G/Rg78gYfN+BP1k559Y6Bc8y2lPqqodptCGOLrNSiRgeVjxVS8ORRrDcso/Azf03lgYNsBzje1v+ObdDv/FRsd94ILMCWdRs5d3oeWdMpe2w3jo5Q7f1OFV2SUpUr/bS56ufOy8qEdc6hVj8tpz2rkyCms1ggIUkJm/UmT8qqFPU7NDvhrEOJXW8YK6tQjMYkOX1ucHNkIGYLpN+lxLLdrWLZujx/cYkpStiSzWpVdrpOreYCPSLjYn9Np7I4k4LSeqy2bAqLiqmsb1dz0OEOcw5q2HLsQDq27BxycjyPbAtlxSU49FDtgWcToo2IWtRIRWs9xr5/LKL4yWrqjxylZt9vKOvXpwM4SOnjz1BzpC3oWTIf/DpQQ1b+P1F58BD1b/6Jzflr2PM2WGekhmz3cuA//5uyfVEM9DaZlJlt5gK1Z+UVh5RpKtvGpfNw4V3lMn7RqVzse6IQFD1aggZzd0DLB75g7tFet79J0pQ4PJNkMHPksT8MNEf6B2l3Xu4fpO0VtqRU9bpnGtTxm1epfbaWM3D0gNpfS5mqbk5OvMLEQ0NzN7Bvw50Ul1ZSX19PTUVpwBzUgQOU7iijpt4d7CRkFpYA+8jKLqKyppb62io2Z2expwGsFi1ku3oZDRrK2FFWwSAvI0QIcemPJvoZSv/x79nwtM8bzX7/1yj7wToyZwL6UTbnr2Hb25D7/f+mKucCpuVfobz6IIU3+ATJfeQARXlb/NyScyiv+uc+l/5Q7Y59PyTjq2XAndS985PoeEAO5dLf6/3S9jwM712/Sa0YtBkeb8EQZrjxovOyJ5VVK2Ao4TOnqZCApAgsgUda3qbtnDJHdrUPXsqmtxtOvqrCGRKT4drbPXkzUWEHp99Qq8Spc1T2/3Y3vFmuzKPXfVyZXw89rfove0jtwU0kdCel6wvYsKeh75A9fytlZZvJtAB6PZuzs9jWALm7G6nKc2Gav4LyxnYKbb6J4q6voChrjd8cy6e8rqzPpT9Uu+6ooCBjDQeA3Y3tFNmiMQkFEFEbM3S9A7TUUZkfvMHT2sBNt7DaAfSWD3Geb0NLDezTgd4xnfQb5ozsGsONUzMMJRJegev2s88kpnj24WaoFUak48dGS0+nEpL2Zt+KSpuhvvgHS0QcLiMtb9Olw/Ga/qVsFtzav4/Rq+Ze6xnV55qPKFMrKHPj6TolbNPmqYDt5vdVvTWAjL9SyZNPvKJWbbevVf9PQHRdB00b2d+3B115lqAN3HQLq111cuNwuoL20XUda7oNy2gucpIjojbJcB74Hou/9CvsN90Y0HKMhrdX0fjOPzOim8hwRS2Qnk5ob1GPzsuo1Qr0JSz2Opv4J+0db6IZzN3bDfol32o2nMBtw1Bm3dMNSsBmXq2cRQJXe2cafEHa1ptVWAMoYTv1hnrNafNUPsgP6tQqMCEJMj8D79aopMdpi8D+0Oh+x8mOs5LMxavBbh/Q1NDQMGCVKAwPETUhMoxU1PyZaGZKw1B7g5fOq303IGKVuUdikgzHHOlfSXv2dUrcQJkdT9f5RHGurX/V7FvzVQaSzsuw+C5IH9x7VxDGExE1ITJEQtT8GcpMmZDc30yZEAP+TtGozD0Sk2Q45sjBKmlfvuBxGjFU7sxZi6HhN8pxZOYCuGY5HN6rzjER99eESYGImhAZIi1qgQxpppym6oaZZ45cQCJFV7sSN72FvlWWNlOZJkdaq2y4JslwzJFt51RqLKNHCe+1t6nPsO2sL+fk7OtUvTb/HJFT0uJif02IX0TUhMgQbVHzZ1AzJR4z5Uz6qj6PFz1dKkPJ5Qu+6xttMPdwTZKhzJHtbpV1pLtDxbZ5g7TbzsLZI0oc59ygbhi8HpGL71Lmy9Ymtb+W+ZnBXl0QxgURNSEyjKWo+eM1U7a3QEdr/5ppCUk+R5PxMlMavXDpQyVwvR6nksRUtXIzpw3/moZrkuzSVYxay5ng5sjOKyr7SOdlJbqLstXNQOsZFTQPKmavu8vnEbn4L8D5P+oabrgXrl0+4GUFYbwYW1GbkFkJhLAZjWNEpOjuUKu3ocyU2gy1IhlLDEOZJC+dV6IESnSnzFaOJcP17gxmkkyZOrhINr01uDmyu1Ol0+poU3F3i+5UwdvNJ+HD42q/bd7NShi9HpELb4f3XlafedYaX4iAIIwzYytq4aQCEiYmJpP6soslhjJTJmnKDKjNGPt9oUgGcweaJJPNyiwZjKHMkYMFaV94V2WAwaQ8JV1HfB6RMxeovTttptpfG+61C0IUEFETIkMsipo/ocyUqdN9IhduMc/REqlg7uGYJIcyRw4WpP3hcbVqw6QSKx+vVuOnW1Uow6VzKk/krQUDX08QxhgRtQHo6LoWJEu3MCSxLmqBDGamxKQExRsTlzgGZsqgwdxTPMHcMwk70Hk4JsmhzJGuI3DhPfWzN0j7nEMlpTYlqBi2o88pj8gZC+CSK6b313RdHzrDhxBXiKgF4NhzGxlf/Drt3V8YVTqdScdEEzV/Qpkp+2LihrF6GglDBXNPmxP+CjJck+RQ5sgL73lc+/EFaTcdhktn1Upw9nWq/E1PJ1iugYsnYnJ/TXeUYc7YQV17fXRyngoxR5izZBKhWcEuf/2TioREFX81a5FKETXnBmUCTEpVQd+XzikTXNNhVUC03R0dp6ehKnO73lZu9OHcGAaWt+m6Ery8jbeUzcwFA0vZzL5Oxa5hUgJ36g2Yd5MSWKNHleS54R51zS2n1Z5gb48qWxPONY4ZGmCVG9RJxAS9tY4ynptVl9OBWweLNd1XQsIP3e3C6XKDZiE9feDE8bZrFgtW68B2t8uFyx1kvK6jE2AC1XV1LX7X4R0/2PlDXZ8QBG8JndRpwNUDzZTtzeqBSZn2vGbKSDtJpE5XD/9g7kvn1CounGBub3mbZM1nktRbB5okkzW48RM+c+TpOvU6iz+mVlwL71BB2q1nlHnzmo/A2bdViMKVC8qh5P1XVcb/xFR1ncdeUGVrYgYNNNBdTpxuHc1iJd1qGdhNd+N0utDRsNrSGdDD266p+Rb4laC7XbhcbjU+Pb1fu+7W0QIG6J653zfPPfN1sPOHvD5BYYwl3Z0x/2j85YMGYOTaMcD3yP23Z432vn6txv5/u79fO3zNqPvQ237OKP/6soD2ZUb54XOq/dJrxsaA86v2VnUNP19mwON+r9dpNP78fgOWGXWXOg2j+31j14OB4+839h9vDfP6ovDo6Qr16U98eroN4/JFw7jgNIzThwzjgzrfw/W2Ybg/MIz2VsPo7Q1xohHQ3WkYLWcM48xbhnG6Xj3Ov2MYV9yhRio6rhjGpQuGcelD9X/HlYF9Ws8aRv1vDOPVPYZR95RhtLrU8SvNhuE4YBiHnzGMd182jM52wzj1hmEce8Ew3vujYTTuN4ya7Ybx0g7DeHGbYbz4H+o6Y4D2xnI1f3Pt/edD7lajsd3Xr3H/1oD5glFe19zXXle+aUD7xvJGT2uzUb7RPnh7e51hB2O3/wu21xm5YNh31RmGYRjV2/MHjN+6/0Rf91DXJ/gQUQt4NP7yYfVHY/+mcfD4OaP5w2NG+beUQGz872P9+qz9+fNG04fnjMY//FiNuf8XRnt3p9H4cyWM+d9/1mj6sNVoOvy8sRYMeNho7O40qr/lEbH/OWQ0XzpnnHj9F0YuGLk/ec1z/vsN7L/oL2q/fNCAB43GS51G0++/aQDGpv9+TY3/n18Ydv/XD3F9od6DET0mg6j509trGHqbYTR/oATNX+BOHzKMCyeUAPZ0D32e4dLbo8Sn6YhP3FyNSqx6eoYe29OjrvnSh+pxuVl9dv50dRjG0eeVsL32pPpdDMMwOi4bxrE/KGE79gcl3u+/6hO2N36phO3F7xnGC1sN46XthnHpvDHeeEUN7Eb5wRNGc3OzcdArUBv39++zdrfR2NRsNDVWe+ZrvlHXbhjtjbtVe/52o66p2WhuajR25XuE5YRhNFdv8ojYQaOpudloPnHQ2GTHwL7bUDLWaOQHiprnWP7uRsNo2m8ARu6mvUZTc7vRfOKgsREMyDUaw7g+oT8iagEPryDs/cD/+DH1R3b/L4x2789fCBCdnz9owDKj+kNPu/3HRrNfe/P/PG6s/frjRlN3p9H4+8eNXb98zXf+S4eMTWDk/vyQ5xpCiNp/f01Nop8/bzRfUu1Nrz9vVL/+vu9aB72+0O/BiB6TTdQC6dINo+2cYZx7xzA+qPcTuXrDOHdMrXo6I/gN1NurVlDnjvnEremwYbQ0GUZ3iM+ip0sJmlfc2lsHCuKZQ0rUXt1jGEdfMIzOK0rw3n1ZCZvjgBIt50ElbMdrDKP2cSVsVY+p1dqf/0v9bYwjXkHYuLep3/H9G5UoNLZ7f97Yb+XmFbKt1U2e9lzjoP/H13zQ2LR2k1HdZBjNjfuN7dv3Gs2+RmPvJgxyy/tELXcQUcvd3WgYTXsNwLBv3G00Nnv6NNUZ1dWNRrsR+vqE/oijyABagO+RY/U/lk7hvy2D5w7g1HWcAE98HnNSCibPI+OLzwCHcBxtxQnkf+vufjZvS/YXKPvBF7ACttzPkG09SvGnPqnGT1vGNgg7jMCa+2U22WHnF+8jbVoKpqRPUtagY7NZIdT1OfWhTz4aDEM9JiNJntRXV92gnE3SFinnCVOC2otrbVJu8WcblWOF3ja698pkUs4gVy2B2dervb3ebuWdeK4R3B/0j8XzJyEJplhU2AAmT7Jot/Ka9DL/Vlh6v9p/azmtPB3bm1XJmSmz1blPvqp+z5Sp6rUt1yqnm9TpKjvJ5Q/V/tq4Y6ew/4Qmu3A7sI96pxu3E2AnGWYTJpN6mDPWAVDhOKnac4v6e09asikpKyHHChZbHoU5FsqKCzzj01i9DcLexLbmsXejnYad68hIM2MymSgqq8diS0dDD3F9rqHOPCkRR5GgnCXwq19vOQTc4/s7tX+T6h/c72nE8wesYVuaQhWgD9AOHZdLx2qFsr+ay7rnIP/fHqd6479hW5pKxQPLqBpCbzRmogQX0GyUvNHJZpeD+pdeperXP2TLF1ex5Yvf5MSlh1Wfwa4vmsUHva7wBoAntqovxsoUfrzVRMfrTTkljaBB35fOq4dXALQZKn3XcFNlefE6tnjP3d7si3sbKpg7xazE2Bu47f3fG7jt9Y5872UVbH30eRWsnZ7tC9L+4E0l4i2nlVNL2iKVhSRRU+EJrsNK7ObfMvD1x4wG3AFzS9eVGGia5pnrdsqrd9Bf+sBqW0p9FUFxu1xoViuO0jyyNhyA/K3srS7GZrPhqshjxSDjvFgAz1VQsKMe4zEXtfU11FZV8MiWdezZso69Td4bjcGuz4bQH1mpDWAm8F2q6v1ngYOy/wAe/ChWzUqOHVi0lOx77iHnnnvIyb2H7JknKd72Em6LBRtw4IvP4H8P5djzaeZfM5d6t4vK5yD354eo3PQFcu6xY7VCTYP/Sk2DBqefsOrU/vpJ37l+/Q+YPvVTsNrI+ewXKPnt69R9fxlwFDchri+KmqbiqEyeh6EeRq/n0aPu5nu7let3b4/neJyv7rzelJarVWLguTblQp8yVWUCaXeratSuI6qAZ6vLE2M2ApJSVczY3AxVwTohSXk8XngXzr+jXivwvfZ6SZpnqvgzr5ek3qauLylFeUdek6X6n66Dd6rBepNy+zd6Vdosc5p6/dSpKtYtWYOeHui4BO+8oFZt40hpVb3fM52aHduAfGzpGrYcO5COLTuHnBzPI9tCWXEJDl3Dkg4cKKHWb0LrjjLS5s+ntN6Fo/IA5O6mvXIzBTk52KwWXDUNgOdeUlf/O1x+M7q+lj2edt1RQaapiFqsZOcUUlxSSXvddgDcbkJcH0IgoeyTESXUvkwMPPocRVhm7P79a0bj688bW+9X39Bb//C+YXT7HDXsX/ixUf36a8bB3z9u5Prto3nPYf/Cj42Dhw8Z1b/8jjrng78w2rsPGfkop5HyP7xm1P3P055NXwwefNxoutRpnPA6evzkaaPu9T8au/s8KR806vz21OxfV69f94dfGGvtqt3fkWSw6wv1HozoMdieWm+vcm7o7VFOEz3dqm/Qh6fd27+3NzqehLHCUN6UTUcMo/mUYbS3jPw96OlRe2auRr99tyPK0aR3EKeSobwkg3lHfviu2mM7/IxhnHzNMN59Se2xHfypYVR/3zB+83eG8fy/qf21SDvNhIHPUQRj4+79RmNjnVG+1eNpuLVadfI4amBfa+ytPmjUHdyvHD3INQ42+53DvtHYe7DOqKsu98zhfKOxvd0oz8UAu7G9fL9RXV1t7FrrvaPLN/Y2thuG0ajmuH2tsbeuzqjbv1s5duF1FNnrO391nVFXV21sX6u8KXc3toe8PqE/ImoBj8ZfPmhg/6ax+/tecfMImr9jR3enUecVqj5B+o6fy3yrcfDnX+vXbv/Cj41GT/uJP3yvX1v+t35sbP2CEi77Tw4ZA1z273/YWHs/BnzNOOE5f/VP+l8f9geNva+fC/P6ovAYrqOIV7BGI3jxxJDelA2G8eF7Smi6O0OcaBD0VsM4f9wnbmfeUiECwc7X06OcR4J5SQbzjmw5YxhHfudx+X9JeUcee1659//hu4bx6y8bxh9K1PExRgmS3di1e3ufkABG/lZ/xw7DaK7zCpVPkPxd5psO7lY3hn3zba2xv1G1t5+o7j82f5Oxa+taz3PlAdlUvavffFy7SbVv3HvCMAzDOFG9q9/1gd3YWl4X9vUJPiRN1pDo6DpD5o3TdR0CA6XDbNfVyfv26QYEaOq62g6L4Ov3BYQPGKCj6xbSbSMM0o5kmqy+P0mj/8+D4r9/F7iXN0Hp0tUeXHuLqnnm//uPphDqYJW5p88dWHC0p0sFVQfLJRmYO3LuUmWGNHpUv4Qk6O1Ue269PWpPbs71cEuBcm4ZJwLnXNB2Bp9zQ7UPmGtBXivir6+7cThdg16PNd02MIg7zhFRm2Q49/0Di//Xj7DblwW0HKKh4WEaL/2cEfmSRFLUhsLw3qx6fwYGFbwgzir9nk8QhspNmZCMLzfl9PCLjgatzD1NiVvq9P59B8sl2XYO3vujcoRJNsPVdlWmprtD/S0kJKpxp95QwtzbqVKQ3bZ25NW/hf44K8lcvBrs9gFNDQ0NlDe2UziiCT1xEVETIsNYidpgBArcSARvIohdMG9KL/6FUM0zB6+G7c9QlbmnzPK9J7296nV7OtVzb3kbw/B5R5oS4Kql0Nmm+vb2KEeTdrdKrdX8gXKSsd6kEh/HQlFZIe4QURMiw3iL2lDEszkzUmZKw2BAZe7EZBWTNmW2L9xgMJPk+aNqRWb0wrS5qn9XuzpXslnF6V14TyWEnrsUrr8Hltwb/FoEYRSIqAmRIZZFbSjiyZw5pJkyyWOmnAnadIYsY9NxCS6fV+cA+ipzT5/rqy8XzCTZdQWO16hVWlIqfQHhuluJ6gUnXHxfVR24OhPsD43r/poQn4ioCZFhooraYEx0c+ZQZkr/QqjaTGUiDIZ/MLfRq8ZpMzwVAqYGN0kmJsPJgz5zZEIypE5R50hKgaYjatXWpcPC2yD7y+pcghAhRNSEyBBvojYUE9GcOZSZMklTe3DajOAC09PtKzXT262O+Vfm7u0eaJJ0v6+yjhi9at5PSVPCZjLB2aOqqKjZogK77Q+N/fshxC1jLGrdoXoIExWTSTb+YWKYM0OZKVOn+0TO30zZ26uEabDK3F0d/U2Sne3wfq1azXVcUmbPbl0J7LlGaD4FsxdDVqHKKRkEwzDo6Bgkh6Uw4TGZTKSmpobqNizGVtS8NnohDjGpLy0hOLFqzgzXTGme6dtPA9X/8nk1FpTpcepsMM9S5kivSbK3B06/6YmNa/Xc/CTA5Ytw1gFXPlSFR7O/oiqPB9DV1cXRo0cHHBfiA03TuOGGG0J1GxYiakKEEFEbMbFkzgxlpvTGxKVMVa/ZeUWt3AKDuaekqZWddxV44YRy6++4pM6fMkVVEjh/TFlwrv8L+PhXB5g/RdTim2iI2iTZBBGEGKbfaiygbShzpv/9qAERMWcma+oxba7HTNmibkY72pTp8JIOl86plZk2XQmY5RowFqjj7c3K21F3q2Du1BnKLD17sdpDe/81ZeJs+cDjUWmFD4/DiT/BjKth+V8P73oFIQARtbhER2fwVDzCBKLfaszv+FDmzEDjy2CCF0o8EhJVAPaUWcHNlO1u9cCkVljaDJh1nSck4EPovKQepmQVqG22wA0r4IPXAUNlH9EsymzZ8gEceRZmp8Pijw9+TSOgowMivG0jxDBDBKsIExXHk5/AbP5lX+ka159foOaoe6ghwkTD5BElU4J6JCR6HklqFWVKJKKlgEymwUvogBKv1jPKnOit4zZlljJZGl1q5dZ2Rq34rr0dFiyDWYvVNWozIWU6NJ+EP/+XcvmPEB0nKrnttk/j8G4Vtp7gxRdfQzZC4hcRtThEm/mX2L860/NMpyrnf7Hi5XNDjhHiCH/B8xe7PsFLGELwevwEz1/sAgTPa6K8aomn0vdCtRJLSFSrOG9eye5O5SFpGKq+WvcVcJ9SInb9x2HOEjDPUVlLjG5VVLTm+4NX7R4mqSkzWMpdeBdqHRca2LhxG2cic3ohBhHzYxyS/uA/U3s/qgCh3oJ+H9j1FnRdHzLjvzAJiIY502RS+2ODmSl7PM4ivd3QoXuEsxc6e5Ugpk5Rt9edrXDuHXj3Jah9HD7+d4yaq+/ll6/fpcyPHR20tXYCc2hra6WDGWKWjEPE+zEOcTz5cTK+8r9proW07Ef6tdU1t5AZFV0zifdjvDIa78yuDiVueqvPm7K3R+3FdV5WGUhMCer5qdfg/deVp+T0OZD3HbqWfGJU3o8dJyq57cFf8PTrv+TQbbfxr/6N33qatx62DTZUGAOi4f0o5sd4RJsLy2aiLX2AxvoX2LoM+Px/0eg4FiVBE+Ka0Zgzk5KVI8jsxWovbubVyt1/2hyYeQ0kmVXAttEL825SGfy1GdDigv2PYjr/ztDXFpJUYA6ppJJX9QxP7ywG4F//6xmq80XQ4hExP8Yz2jxsS+eRPg9y778V26J5oUYIwvAYjjkzIVEJ2pS0ADNlmwrGvnIBrl6uzJRHfg8X3yfpl58j8d7/pCd1BqNlxtWLmcECYAX22xczJ9QAYUIiohb36P3+iyodbaF6CIJP8EwmlanEPFOl2upogdZzKsN/Zycc2Qeu48w68ivOf2T90OcMk45OgE7oAGQ/LS4RURMEYezo86AM+L+3G7q7lBkzdTpckwntFzEunuTCsnUhTioIPkTUJgtjsZeWKo4iggd/wfKGA6gGX3tHmy+Au1MHw1OA9Ipb7bll/w3ds6+n92IUEqHLKi1uEVGbJBz43n9RxgMUPPQXWEJ1FoRw6CdcAauvYPR4vB47WqC9FeiFXgN6O1U8m8mkvCHn3ajCA9IWgikJLo7c+3EgHcArPPVkJffefi+320a/VyfEFiJqcYkG83w/Zz5cDF/YwbovHCNz1V+IB6QQPoOZC0O59HsdSLp1tfLSWzwZ/b0rtW7oRVXMTpkJPR5xS9ZUzNuMecoU2RWJGoy+6gKpC2z876XwX//xbU78q11ELQ6ROLVJhu4+i/NsC5oWaH/pQNdnkr503ggtlRKnNqEJZS4cgNfN3+T72ev+2NEGV5rVqqzb30PJpFz8E82gTVPhAN0dnvg1PFlKrur3dxTdLP0dfHjiDG0pKX6yp+js7GT67AXMmSF2ymgSjTg1WalNMlwvbyfjs7uwL7s1oOUtGg59jsbmXdhGpmpCrDNccyEBgtWXa9Lfdx9VOubKRc/+WAv9io6aElSm/iQzpGjKrb+3W5kb6VXFRhOTVA7JaXOU5+OYcYafP/ggv1i6lKWBTUePYvuPZ/jOysXBBgoxjKzUhAghK7WYYLTmwgGrr0Hoavetxjou0e/8iSkqD6R5JpiSobeLvuvo7VFFQrs71bhkTQna1Fn0q7LtfZmortSE8UZWaoIgKAIFq7fX2zDIgEHMhaHKz3jxeisOZlZMnabKyExJU6LW1Q49XWB00meWNCVAUqLaY6PXV1VbboaECCKiJgixSrTMheHS060cPK40q/97/VzrvSVjzBaPkCWr1VdXu3p4+5iSwJs2q6cL2ttUeq1ETa3OxtTcKEwGRNQEYTwZK3NhuIRjVpyS5qlonaCutbtDeTb2evbSEhIhMRWMXo/pEej0rNySUlSNtUHMjYIwWkTUBGEsGGtzYbgMx6yYMsVvXK/yWuzuUD+DWoElmwEDunT1v4HPlT8hUcyNQtQZW0eR7s5QPYSJTFKgY/QkY0TmQiJnLgyX4ZoV/entUau57k7U72VSfZLNqr2rnT7vRwOPu34vmBJHZG40DINLly6F6iZMUBITE5kyxe9mKQKMrah5be1CHGJSnmzxTqyZC8NluGbFQHq6fM4fAJiUQKWY1c9d7dDjuWlNSFTi1+FZoSWlqvIzYm4UxgAxPwpCMGLVXBguIzUrBtLdofbDvKsvU4LaE0vW1O/W3eEzNWLyeD5e8dzAmtSqT8yNwhgioiZMXkZkLgwiXMFWNuPBaMyK/hiGEsEunf77ZZrPfNjT3d/UmJCs+rQ3q9cdoblREEaLiJoQ30xUc2G4jNas6E9vjxKy7g76zuPdL/OKoGEMNDUmm9W4yx8i5kZhvBFRE+KDiW4uDJchzYqo7BxeIUuZGuwMA+npUqLkFSrvflmyWYmWl0BTY7KmhPPKRTE3CjGDiFpMoON261gsloBjYLH4OV/obnTN4ks4rLtxuc7i1jUs1nlY/fsCbpcLl7sFzTITq9U6wkTFMUS8mQvDJVyzotkyPA9Ub7C093ymBI9QpfZ/j4KZGlOmqHFtZ2Pa3KirSdTvb9/tdg+ca7qGb/rouFwu3G4dzWIl3erfF3C7cLrUXLRarVgm/MSKLybY7I5THM+SNncBRftcfYcqPj2LtLmzqOo7dJKiGQsw/8erashT38Y0YwHzb8wiY1kG8+fOIvMfnkXdt7so/fQU0hZeR8ayLBYvvA5zSj5VzoC7+ljE8KyyenvUl2lPl/ry7e5QK4meLvUlavR49ns8qwZTgvpiTUhSprLEFE+gb4rneZJadUwUQetqh5Yz4HobPngTPjwOVy6o3z0xBabNhblL4ZrlMPdGmD43PEEzDLXaanerFV9vt3pfUqaq1V2y2fceGYZyye+8pN7vhETlYJI6VcWetZ1T45NSVamYGBM0cFCYloa5qKrviLOiiLS0NIp9E4vKAjNp5h24Ad1RQabJzPz5i8nIyGDx/DRMps04PFOnZkcBprT5LM7IIGPxfNLMJkqqnAixwwSZ4XGO7S/YBOx55jXPgaPUPqN+qjnqmXzOV9kD7MpdBu6Xyfj89+Fre2h8/wzN5xop/+Z9NPzocRw6uA78hA3PwKanD9LceoYTf9yDnedZ+VWv6MUAhqFEqbfHl7W9u1MJV+8QwpUQKFypA4VrLGK9Io1hqITfF0/C6QY4cwjcp5TwYCjRmXk1zL8FrsmC2YvVyixckTZ6PVWlm33ZPxKTVbVys2VgOEZ3h7qeHk/uxmSz6mtKhMsXlCiCWiVOuypG989sFG8C9lTh9Bypr9oDwM4ah+eIg8p9kLsrBwsudmSsoYGNVDc20dzczMHyTcA2ahw6uKpY8cg+cjftpam5neYTB9kIbFm5Hu/ZhPFHzI8xgZXC7y1j2zeexfHzVdicx9jpadn2zDFK7rHiePVp4PPk2DXQ57H7Oz8k8ysPYbMAWMi8YxlwVJlZdCVdeksLYCH9ow9R9do8HNw4tibIyWouDJdomRX96elW+279gqVTPM4fQaZ/Tzd0t/ulvPKYGk0mtUq+fCGmzY2BZBZuh22PUOvYQbrNSc0eT8O2KlwlOVgd9ewByvNsgE727u2UZxaRoyYWtsxsADQ1sQBw6W7cgC09mx1NdRQ4NNIRYoU4/baYeNju/wfgF9Q7wXX0WVj2Qw4++w/wo+dxo1P/xO/ga5/HBqAtpfALt+N44pvkpUzBlDKFjIe+D1gAsOZ+iU3LYOeX8kibMQVTSj5lDTq2pdZBXz8iTGZzYbhEy6wYSHenWmnpLR5vRlR82RSLcuQIFDR/U2NvgKnRZFKelTFvbhyIxZZHPlBR7wRXPTvJpbpuL7ANhxuc9RXAJnLSNcBCTmEhVkcZBXmZmEwm0jJWA6ibQWseezfaadi5jow0MyaTiaKyeiy29LG9WRSGRDKKxAwnKU7JwP2LGgobclg57yDGF1owzc1j/2tVlN6eR84fz1D8UQvuhsdJu/3rwCfZ/fRXyVx6I9rZ35Bx3/M0tu7rK/Lpdh2l/uVXqXrqJ2x75hDwD5zo/Nco3VV6V1YBzyead2GkiYa34lB06eo1/JMLJ2lKgAZ774N5NXoFyzACvBunq/yNE4iqYhMr3eXUFdaStdJGu1HAY6b5sL+OzNIs1uTUYRRngruevLQsDgBbd+8lJ9NGusVF3uIVFDe2U+SbWNTW11BbVcEj2/YBsLfJoCDK94xCeIj5MWZYRMF3lrHi8znsAba/thQsbjYBK2/PAz5Jid0CgKvhOeA+6jqfItMz2nHoEJAKGjie+iYZTy2l+TdfIuczS8n5zMMU/jCbrG8cxa1D1G4rE5PV92K8ra6GS2+PErBomhX96fVUkB4qWDoYgaZGr1nSK36B5sYpaRMyFVp2wVZYsYasPZC7vQ4NK3mb7KxYmQXA7hIbALqrngPAbj8B0x31NAAaGrqjguyMKkqby8jOKSQ7p5D1hTswZz2C262DdeK9N/HIJP/2iS2yc//O89N9ZC/SACt53/Qc+tqX+lZgSpSeZ8cPn6be0UDlT79Cxud/AfyOmpdcWFKBZ75Ozj88Tk1DA/UvPc2OJw75hkYLU8LkFbQuHVqa4GwjnHojemZFf3p7lFmw3a1Mh0avei1thqo6PZigBTM1pkzz7Z1BcHPjBBQ0AEu2MkEC5OWkA2DLy/Mc2UhO/4nFjpJSaurrqaksxZyxBoCqmhqwaDSwhztziqmsqae+vobSHWUIsYWYH2OKoxSnZLHz/v9L8+8exgK4Xvoe8+/7P2x//gzF91hUN/0kOz7/WR555pBn3CfZ9fgdbPjS/wHuo67117if+DorvvoL36mXfZK9P/8pBZ7VXuQxTdgvvREx1mZFf4ImF04ZGCwdjKFMjRAX5saB6FQWmVm9J5+69koyNcBVQ+b8FbD1IPWbs/v61ewoZMUj+/pGbtq1C9eGDcrzuLGdPFcZBSs20NDXw87W8jI2F2YixAYiahMZXUcHNE3ze66h+WmLrit7Y18Xtwunq8U3xtcTXZ9Jum2kQdqTQNTG2qwYiFeQQgVLByOUqRHixtw4enR03W9eDXjunVf+c8+Nw+kKMq9UX2u6TYK0xwgRtUmGc983WfzQT7AvWxbQcoiGQ5+nsfWnPjPnsIhTUevSPSLmBt0TM+ZluLkVR4I3WLpb9+2XmRJVyZdwvA8DczWaEoO783dcgvYWkNyNI8NZSebi1WC3D2hqaGigvLGdwpFNLGGYiKgJESJORG08zYr+GL2q5EtgcuEkLfxVYChTI8SpuVGYzIj3oyCMt1nRH2+exZ4u+sQoKVWJWbBg6WD0es4xlKkRxNwoxCVhzhJBiDPG26wYSGByYUxKyFLM4ZsBvV6NvR4HksFMjSDmRiFuEVETJgexYlb0xzCUiXC4wdLBCMfUCEHMjTPE3CjEFSJqQvwS0qw4w2NWTIu+WdEfo5e+Ypz9gqXNw7+OcE2NEGBuTIAps8TcKMQdYytqoWJohInL2LkbDU24ZkVtxtib2wYkF8YjQhp9laXDZTimRhhobpwyS+ajEJeMraidejNUD2GikpgE194WqlfkiUWzYiDdneq6+gVLa0rMRiIs4ZoaQcyNwqRjbEVNECJBrJoVA+nuUG753orR3mDpJG14+2VehmNqBDE3CpMSETVhYhDLZkV/giUXHk6wdDB6ez1iFqapEcTcKExaRNSE2GQimBX96e1RwtNvvyzZIz7D3C/zx+tQEo6pEcTcKEx6RNRimjZqnnsTa/Y92CbD99JEMSv609OlhMebhsobLB1OcuGh6GdqNIU2NYKYGwfBVVuFw5LdV81aiG9E1GKaCxT/zWbWv1CDbcYITVexTncHXL4Y+2bFQIIlF05KVSIymusMZmpMmRJaIMXcOAg6VXeuZN2uRgwRtUmBiFqs0tGB3noJK6C3XkLvSEXz0zX3+SZcrR0wYzq2q2YHGd+G84ML6IDlmnSssaKJhqHqeHnNioH5QGPNrOhPJIOlgzFcUyOIuTEEuu5GzwW77kbX9f6Z9t0unC43YBm0OoXb5cTl1sFiwWa1BukhxBpjm9DYWRuqh+Ch/pd3kvWo/5Fv0X5iNVqHk5KvrGHLy/5tf8XBV79N9lXqmeO5J8j4m13+HVj7nZ9R9te3EDWGcumfiGZFf4IlFx5psHQwBpgak0ObGkHMjSHQ60sxZ23od6yu3SBTc1O5uZDV2w70a9t1sIn12R7h0h2UFGSwpV+XtRxsKiNbtC2mGYWdRIgmtvt/S+PvS8gF1v7wJ5x49RNodFDhEbStP/wZTQ2/o678W8D/4847nsAF6O8+rwTt7g0cfOF3NL26h13/awl7Hv0ym2svhHjVCNLdEV4l6GuXq/+nz4uMQESSnm5lEr3i9jmqJKZ4EhzPHP319vZCx2VlOuztUabG1IAK1IPhX5k6MUW9fyJo/dBsBTQ2HmSrHVhbTuOJJjI1cFQUsXrbAXK3ltPY1MSJxmrWAhvunE+NC0CnwiNoW8sP0tTcRF31LmAPd84vwTXkqwrjjazUYhonBYvXUPjCQQqvB86/hOmOzeR+Zw9Vf32jr9dzO1j8N7+m/IUaLL/MYeXuu6lzbCOzz3LVRPHiT7Hz7n+hfc99IywCGoKERJhnm5hmxUCCBkunDi+5cChGYmqEIOZGKRUTioo8E2VFjVQV2gAnxabF7MzdRXPVeizeTs5KTItXk1/eSGWOA9P81eTuqqNqfSa+LsUsXr1TaqPFOBGaoUK00AGdDvVzq/KwK8ha1K9PetbdALhaL+H+AMi4G1u/78f5FKwHXlZ7bFGhqx1cb0Nrk/rZlKBEbFY6XJ0F828ByzWxK2jeYpztbhVK0NOlfofkKZ5s/VMjI2i93aC3Bqz8ZoQnaD1d0HbW9/5OnS2CFhK933+g4wbsBdk+QQNIz2Yr4HS60d2qc0G2zb8H6dkFAGqPTYhZxFEkLlBipw3xvah3ABlhfHGOlJQpkJDsWTlYYIolMiIQbXp7PfkY/ZILjzZYOhiBXo3ePblwPRT9vRsTU5SghTtW8KGDGxi4LaYrs6JlqBWYEjNtqC7CuDMBvnUEDfXlql01Gzuw4Td1/drrn9sLgCV1Gtbrl0Djd6g679eh9Rilu4FrpkXH9OjlajvMvg6mzop9Qevt8QiFW4mN0ascNLQZSpAjKWhdulr99XahTI1mtXcWjigZhnIGaXer59oMmD43vLGCD+8fvmYhGziwoQKnX7O7voadQKZFQ7Na1Twrq+l3ivrKUgAsomoxTYx/80xyOtQKrOSXFVTUOmHGR9ixHtj9CJn/8ntq6g5TsWsTWY++DHc/SsH1qeT8778FYPUdxZQ+9ya1tc9TYF/LPmB38d3RFbWJQE+XMv+1uz17WigBM1uUYIwm+0cgozE1gpgbI8iBklLKKmpwY6Vo/yZgG4szi6msqaWmooS0rHVAPsUFNrDksGMTsHMlmcVl1NTWUlFSQNaGfZC7mwLZT4tpxFEkpmmj4l++zZrdf4aMR2n/fw+g0Ublru+w+j98Pv256x6lbNMDfbFo7ndfougTm9nX1+Oj7C7/NkXZQeLZIsV4ZekPl2DJhSMRLB2M0ZoaQcyNEcRRsZmMNduAXOraq5QHZGUJhau30ODtZN9IdVUJOVavYLmpLCli9RbfLMrduJuykiKsomkxjYjahKVD7ZOlpg5Dqm50AAAM90lEQVS6+tI71EpES/WtDPTWCzjPt/U7puhA75hO+vWzR7aai0VR8zp/dOu+/bJIBksHw9+r0ZTgea1huP739qrsKp1X1POUacocKkQFXdcBbYh9Mh3VRfPNC92Nw+nqF8jd16TrWNNtQ2/NCVFFHEUmLKlDOoYAQYQLXLVPkvE3v8aesSSg5R0aGv+KRse3AzwnJyC9PQEu80Q2WDoYPV2+vblwczUG0t2p3PUlmHrMCCZMAT0GCp6rhsKM1WC3D+jd0NAgLv/jjKzUhMgQCyu1AcmFGXll6XDp7YXudl9M20hMjSDmRkGIELJSEyY+gcmF+zLla9EVhtGaGkHMjYIQYUTUhIlJsOTCo60sHS6Bpsak1JG9ppgbBSHiiKgJE4ugyYU9zh/RFgTD49U4WlMjiLlREKKEiJowMejp9hMUj5glJo/M5DcSImFqhABzo0lKxQhChBlbRxG9JVQPYcJiis6Xc7Dkwt7SLIljcE82wNSYMjJTIww0N06dHX4gtiAIYTEG3wp+dPt5pQnxRSQDmIPtl3kz2UcjWDoYkTQ1gpgbBWGMGFtRE4ShMHp9Zr6+5MIJvv2ykayORkKkTI2gBLq9WcyNgjBGiKjFIbo+wTKJ9/aoVVF3J/2DpbWxNc9FyqvRi5gbYxQdHW1kmXOEmGcM7DhCVHG/Q+XvXsHteaofq8B81Qrq9aEGxQgDkgsbnvI1MzyVpcdIAIxe6LysHkavEtTUacPPCOJPxyW4dL5/Zeqx+n2Efrhqq6hxuPueO8qyMZvKoldbUBhXRNQmOPq5N1i95lGcnhmqpc7Azr2xfRfa3QFX3ErQejzlWLyZ8s0RzpQfii4d9ICioOGWhQmGtzK1lIqJEXSq7lzJihpX3xHNkod9o2XwIcKERsyPExldx+3Wgbm4W1rQmYm26K+oPX+vz/yot6BrM9HQcR47hbZwiSfLuI7r5CncHWCZuwSrZdBXiQyG4TExBu6XRSlTfigibWoEMTfGILruRs8Fu+5G13U0TSO9oITaPG+JNTWHLBaLJ1Gxm3RbumrT3TidLnQ0rLb0/pWyhZhljL9JhMihU3rVQub/5beAalbcsATzzw97zI8rPebHdyi6agnm9T+kePVCFi+/i4pjOvqxF8mbvpD5t9xFxvK7mH/tXIp/czjE642Q3h7ouAxXmn0ikpAIKVPVyixlytgKmtGrTIORNDWCmBtjEL2+FLN5PhsOQMMjd2I2m6nXwVGWidlcig7ojgrS0tIoKCkhz5xGRsZiHDo4qkowmdNYnJFBRsZi0kwmKurdoV5SiAHG8NtEiCwahYdfoa78UQB2/79XaPrrW4BUYK7nTtPT9ZffYefZz1L+270U3niK9csLOcBXqH7jMM3HX2HXX9/MznX3UnYsgrsMPV3KrNfu9hTJNDwCMl2J2Vh6M3rxmhq9K6mUqaMzNYKYG2MYzVZAY+NBttqBteU0nmgiUwM0K9gt3l4A7NuyBdfa7eyvriPdWUHGyi2wdjeNTc00NVazFliTVTQx9qonOSJqExjLoiVk3notsJLsvwhiQtTwOJB8hcYXf0ThfXfBH/ewByh/41FybpyLZd4S1u/4EfnAut+9wajp7lDxWHqrL1u+t+KzeebIXeNHg9chxVuBOik1MlWuuztVZerOK0okp80Rd/1YQrNis2WTboXcvExs6dbB+64tp7asmLycTGpL1wAbaSwtwma1YLXlUNq4G9hHVa1vb06ITUTUJjh6B4DuW5UFIXdHId7yTu6WUwCsWb4Q0/S56nHVvapK9m/eGblHWE+3MjF2XPJly0/S1KpMmz56ARkJvT2DmxpHi5gbJwh6v/8GY1dxgW+PzQmwkwyzCZNJPcwZ6wCocIioxTriKDIJCFYsdNPuveTNC+g3b8nIvSYTEpUpzpspPzEVEsbxnsk/7s2U4EmrFQFhlWDquGRgXKed8uodBK7trDZbYEchxhBRixeGUCP/m1Trwo8B+7HduJycZd5BLZStL8DxyT1k3xjkBOFgMo3fisyfYF6NkViZgXg3TmTCvlvTsOXYYV86tuwctQcHoNdTlL2ZgspKRNZim3G8lRYiQwdQTelPKqg5FDphtOWO1WwC1t21kh2/e4X6Q69TtukrrPvlEawLZ4YaPjTjKWjRNDWCmBsnOAdKSimrqOlLUjAUmYUlwD6ysouorKmlvraKzdlZ7GkAqyVsdRTGCVmpTXC0hbew6VbYtvnrOHa9QuUdEHhbau33dC4lp17Esu5eHlmzuu/o1t0vUrxslKI2HhiGcgCJhqkRxNw44dHILNoEa7axbo2DzIIclSDLY1fULFZPLz+seTTXlVOUtYbVK/Z4DuZTXldGtgUhxhnb0jOXzofqIYwluo4OaJFIFOk1x40l3rI0/UyNEfhdvIi5cdKj68p4H5E5IowJslKbzGgTNKmrNwGy18syISnyQdxSKkZAxGwiIqImTByibWoEMTcKwgRHRE2YGAwwNWqRNTWC8py8fEHMjYIwgRFRE2KbQFNjYrInT2METY2gVmZXmhFzoyBMbETUhNjEm9W/p4uomRpBzI2CEGeIqAmxx1iYGkHMjYIQh4ytqCWOQzJbYWyIRMb9sTI1gpgbBSFOGVtR8xaHFOKQUYjaWJkaQcyNghDnjK2oCUIg3R2qzhkGUTU1gpgbBWESIKImjA9jaWoEMTcKwiRBRG2SoOt6bGQQGUtTI4i5UQiOrqOjBSk5I0x0onRbLMQU+jEKZi8g+/G3QvWMLt0d/StiJ2lEpAL1YPR0SWVqIQg6FQVmzNlloWqHChMQWalNBjSVhTxdG6f9o94eJSxGj3oebVMjiLlRGBqNwPIVQpwgohanuM++j8uto1kWkj4PLIAr1KBIM9amRhBzoxActwuHyw2aBVu6Bc3COEwIYSwQUYs7Wqj4yirW/PKw79Ct6r/84AOiw1h6NXoR70YhCPVlxWSt2zmwYUwnhDBWRNH+I4wH9Y9/kTW/PEz+zmdoOn2CpjefYe1YbqX1dIPeplZoGGpVljo9+oLWeQXazilBS0qVytQCAHp9qRK0/F00NjXT3NTILhGzuEZELa54n7KNL8Invk/Zlz6O1TIT69KPU/rm46EGjh7DUMLSeUntnZkSIGWqeiRE8c/MMFQhzysX1XNtBky7SvbPBACqdmwAcqmrWI/NasFitbG+ok4t0sRLJC6J4reNMOboOk7Avuo2LH6HtaW3sJYoz+HeHo9Xoyn6Xo1exLtRGBId3Q3YC7H5Gwo0G4WyWotbZE9tkuCG6MaoJSYpJ5CE5OiuzLz4ezcmpcKUWbI6Ewai9/0jTBLG4NtHGDO0mWQDDRvLcfoddr/8B/YNMiSiJKVGX9AMQ4mZmBuFkGhYc+zQsIEqp99hdy0l+4jyXZ4wXkT5G0gYW+ZRVLkRKGXxZ3dQ8+pb1Dy7m7SV/1+ogRODPnPjZTE3CmGRU1QCwOrFBVTU1FJfU0lR2goaQBZwcYqIWpxhve+fqCvbCL/7F1asuIcVhf9A/l/fC0D6zAl8ayrejcJIsObRXFdOLvtYs+JOslaspj4/HzuALQbSxgkRx2QYhhGqU8S40hyqhxBBguV71N1ncZ5tQRuQ9E5H12eSvnTeyCa6yQRmS6hew8cwoN2tVmeYQJsuqzNhROi6DoH5HnU3DqcryHxQ/a3pNiwjmhDCeCGOInFMsInq+uNOMgpLsd96S0DLYRreWkPjhZ/09xQbTySYWoggweYDrhoKM1aD3T6gqaGhgfLGdgpjZkII4SArNSEyRHqlJt6NgiCMAFmpCbHFAHOj5G4UBCF8RNSE2EHMjYIgjBIRNSE2EHOjIAgRQERNGF/E3CgIQgQZW1HzVjwW4hBTqA4DEXOjIAgRZmxFrbsjVA9hojLcKtZibhQEIQqMragJgpgbBUGIIiJqwtgh5kZBEKKMiJowNoi5URCEMUBETYguYm4UBGEMEVETokdPF1y+CL1dYm4UBGFMEFETooOYGwVBGAdE1ITIIuZGQRDGERE1IXKIuVEQhHFGRE2IDN0dqjK1mBsFQRhHRNSEyJCQpGqqpUplakEQxg8RNSEyJCTCdCskDDNdliAIQgSRbyAhcoigCYIwzsi3kCAIghA3iKgJgiAIcYOImiAIghA3iKgJgiAIcYOImiAIghA3iKgJgiAIcYOImiAIghA3iKgJgiAIccPYZhRJmRKqhzBhMYXqIAiCEHVMhmEYoToJgiAIwkRAzI+CIAhC3CCiJgiCIMQNImqCIAhC3CCiJgiCIMQNImqCIAhC3CCiJgiCIMQNImqCIAhC3CCiJgiCIMQNImqCIAhC3CCiJgiCIMQNImqCIAhC3CCiJgiCIMQNImqCIAhC3CCiJgiCIMQNImqCIAhC3CCiJgiCIMQNImqCIAhC3CCiJgiCIMQNImqCIAhC3CCiJgiCIMQN/z/V+pPN3XtHjgAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMy0wNy0xMFQwOTowNzo1MCswMDowMNXVlE8AAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjMtMDctMTBUMDk6MDc6NTArMDA6MDCkiCzzAAAAKHRFWHRkYXRlOnRpbWVzdGFtcAAyMDIzLTA3LTEwVDA5OjA3OjUwKzAwOjAw850NLAAAACh0RVh0aWNjOmNvcHlyaWdodABDb3B5cmlnaHQgQXBwbGUgSW5jLiwgMjAxOC9MBUEAAAAXdEVYdGljYzpkZXNjcmlwdGlvbgBEaXNwbGF5FxuVuAAAACB0RVh0c29mdHdhcmUAaHR0cHM6Ly9pbWFnZW1hZ2ljay5vcme8zx2dAAAAGHRFWHRUaHVtYjo6RG9jdW1lbnQ6OlBhZ2VzADGn/7svAAAAGHRFWHRUaHVtYjo6SW1hZ2U6OkhlaWdodAA0MTP5SAkgAAAAF3RFWHRUaHVtYjo6SW1hZ2U6OldpZHRoADQzN1/i/+YAAAAZdEVYdFRodW1iOjpNaW1ldHlwZQBpbWFnZS9wbmc/slZOAAAAF3RFWHRUaHVtYjo6TVRpbWUAMTY4ODk4MDA3MLo7pn8AAAAOdEVYdFRodW1iOjpTaXplADBCyW8Y7QAAAIp0RVh0VGh1bWI6OlVSSQBmaWxlOi8vL2V4cG9ydC9jb250ZW50L2xpZC9hcHBzL3ZlY3Rvci1wcm9jZXNzb3ItcnVubmVyLzI1NDkzYjMzN2E4ZWQ0ZmJlMGQ1ZmJkZDliNDc3YzdkZjU3MjNmMmEvdG1wL2lucHV0LTE3MjMzODI2NzU0MzU0OTEzNTU59IzGMAAAAABJRU5ErkJggg==\n",
")"
]
},
{
"cell_type": "markdown",
"id": "2332a0cd-bc96-4614-9dc6-777dbab69ea5",
"metadata": {},
"source": [
"#### Entonces ¿Hasta donde pueden aprender los LLMs?"
]
},
{
"cell_type": "markdown",
"id": "30b7bf55-9c2b-41a4-9c66-916f37e6d544",
"metadata": {},
"source": [
"* **Siempre** pueden llegar a aprender algo si tienen los mecanismos necesarios para procesar \"entender\" ese algo\n",
"\n",
"* **Nunca** van a aprender algo que dependa de mecanismos más allá de esa IA (por muchos datos que le pases, la fuerza bruta no es magia)\n",
"\n",
"* Podríamos decir que los límites del conocimiento de la IA están en la propia IA, **como dijo Kant** en el siglo XVIII, los límites del conocimiento están en el sujeto, no en el objeto"
]
},
{
"cell_type": "markdown",
"id": "697c99ad-4a7f-4ad6-87a3-a1d6b47bf34b",
"metadata": {},
"source": [
"#### Filosofía Kantiana"
]
},
{
"cell_type": "markdown",
"id": "af5ce698-9258-40de-822f-e3bd78fd0a14",
"metadata": {},
"source": [
"* **Contexto Filosófico**: Los racionalistas de la época creían que el conocimiento no venía de la experiencia, sino de la razón y que la razón era capaz de responder a preguntas más allá de nuestra existencia como ¿Qué es el alma? o ¿Dios existe?. No estaba claro si existía algún límite a lo que podríamos llegar a conocer como humanos"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "97525371-cf8f-40c3-acb8-9fd2672bb0c1",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "937156c6-8ed5-4dd8-b5b8-b31c328237e9",
"metadata": {},
"source": [
"* **Crítica a la razón pura**: Según Kant sí existía un límite, pero ese límite no estaba en el objeto de estudio (por ejemplo, Dios) sino en el sujeto que lo estudiaba. De esta manera, los límites del conocimiento humano estan el lo que podemos entender con características como el espacio o el tiempo, que es lo que entendemos los humanos."
]
},
{
"cell_type": "markdown",
"id": "ffddc4a6-c73b-459a-beef-da5fc73e59f2",
"metadata": {},
"source": [
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\n",
")"
]
},
{
"cell_type": "markdown",
"id": "1df82dd3-29a4-4553-93c0-0b826580eefb",
"metadata": {},
"source": [
"* **Juicios**: De esta manera, lo que podemos conocer de un objeto depende de los juicios que podemos hacer sobre él"
]
},
{
"cell_type": "markdown",
"id": "67c7d78d-615c-40b1-aac3-830ae09279d3",
"metadata": {},
"source": [
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")"
]
},
{
"cell_type": "markdown",
"id": "2a075a4c-ec1b-4ad2-8a3f-ed4ede59e8dc",
"metadata": {},
"source": [
"* **Críctica a la inteligencia artificial pura**: En mi opinión, si hiciésemos una analogía de los jucios de Kant con \"los juicios\" de los modelos de IA, nos ayudaría a entender mucho mejor la IA. Características como \"La atención\", \"la recurrencia\" podrían entenderse como ejemplos de este tipo de juicios"
]
},
{
"cell_type": "markdown",
"id": "9ece6296-50af-48a9-85ff-028fb0859eef",
"metadata": {},
"source": [
"---"
]
},
{
"cell_type": "markdown",
"id": "93c744e3-2746-4bb1-a2e2-61a4656ec16a",
"metadata": {},
"source": [
"## Ejemplos de código"
]
},
{
"cell_type": "markdown",
"id": "927e0460-44c9-421d-8d9a-e9aa63ff4822",
"metadata": {},
"source": [
"#### Regresión lineal"
]
},
{
"cell_type": "markdown",
"id": "843eedc3-64fd-4112-b321-f094294958a3",
"metadata": {},
"source": [
"La regresión lineal es capaz de aprender en base a datos el concepto de línea"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "bf4c4a49-9c0f-42c7-b44b-f55682d0afba",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import random\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.linear_model import LinearRegression\n",
"\n",
"x = [[i] for i in range(10)]\n",
"y = [2*i[0] + random.uniform(-1,1) for i in x]\n",
"\n",
"model = LinearRegression().fit(x,y)\n",
"\n",
"plt.scatter(x, y)\n",
"plt.plot([x[0][0], x[-1][0]], [model.predict(x[0:1])[0], model.predict(x[-1:])[0]], color='orange')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "07d0e097-bbc9-47c7-8efa-ff1fce8d8f44",
"metadata": {},
"source": [
"**Familia de funciones** ¿Qué puedo llegar a aprender con la recresión lineal? El concepto de curva no"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "15d35d3d-cfe0-40f9-8564-b575461ff665",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import random\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.linear_model import LinearRegression\n",
"\n",
"x = [[i] for i in range(10)]\n",
"y = [i[0]**3 + random.uniform(-1,1) for i in x]\n",
"\n",
"model = LinearRegression().fit(x,y)\n",
"\n",
"plt.scatter(x, y)\n",
"plt.plot([x[0][0], x[-1][0]], [model.predict(x[0:1])[0], model.predict(x[-1:])[0]], color='orange')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "65468f6b-4a43-4c9e-96f9-e7f0ac298aa5",
"metadata": {},
"source": [
"**Globalidad** No solo es que sea lineal, es que también tiene un caracter global"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "bd48eeb7-32d8-43bb-9e8d-15b3089c158c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import random\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.linear_model import LinearRegression\n",
"\n",
"x = [[i] for i in range(10)]\n",
"y = [2*i[0] for i in x]\n",
"y[3] = 40\n",
"\n",
"model = LinearRegression().fit(x,y)\n",
"\n",
"plt.scatter(x, y)\n",
"plt.plot([x[0][0], x[-1][0]], [model.predict(x[0:1])[0], model.predict(x[-1:])[0]], color='orange')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "2c4b151d-e268-4873-bac3-08869ea4426e",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib.colors import ListedColormap\n",
"\n",
"\n",
"def plot_decision_regions(X, y, classifier, resolution=0.02):\n",
" # setup marker generator and color map\n",
" X = np.array(X)\n",
" y = np.array(y)\n",
" cmap = plt.get_cmap(\"Reds\")\n",
" \n",
" # plot the decision surface\n",
" x1_min, x1_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n",
" x2_min, x2_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n",
" xx1, xx2 = np.meshgrid(np.arange(x1_min, x1_max, resolution),\n",
" np.arange(x2_min, x2_max, resolution))\n",
" Z = classifier.predict(np.array([xx1.ravel(), xx2.ravel()]).T)\n",
" Z = Z.reshape(xx1.shape)\n",
" plt.contourf(xx1, xx2, Z, alpha=0.4, cmap=cmap)\n",
" plt.xlim(xx1.min(), xx1.max())\n",
" plt.ylim(xx2.min(), xx2.max())\n",
"\n",
" plt.scatter(X[:,0],X[:,1])"
]
},
{
"cell_type": "markdown",
"id": "452a297e-9b76-4bdd-a831-3f4ba6c63d21",
"metadata": {},
"source": [
"## Árboles de decisión"
]
},
{
"cell_type": "markdown",
"id": "46ebe06e-a253-4697-ad3f-a8ad127900c9",
"metadata": {},
"source": [
"Los árboles de decisión son capaces de aprender concepto de **curva** y también características **locales**"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "2f600981-23ef-4d33-8d0c-71b09d84787d",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import random\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.tree import DecisionTreeRegressor\n",
"\n",
"x = [[i,i**3] for i in range(1,11)]\n",
"y = [i**3 for i in range(1,11)]\n",
"\n",
"x[3][1] = 600\n",
"y[3] = 1600\n",
"model = DecisionTreeRegressor(max_depth=4,random_state=5).fit(x,y)\n",
"\n",
"plot_decision_regions(x,y,classifier=model)"
]
},
{
"cell_type": "markdown",
"id": "252c07c1-c2f0-4292-98ec-97a901d2a10b",
"metadata": {},
"source": [
"Sin embargo, no son capaces de extrapolar"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "e27618db-4ce2-46d2-b698-e66f6fe611c3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import random\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.tree import DecisionTreeRegressor\n",
"\n",
"x = [[i,i**3] for i in range(1,20)]\n",
"y = [i**3 for i in range(1,20)]\n",
"\n",
"x[3][1] = 600\n",
"y[3] = 1600\n",
"\n",
"y_pred=model.predict(x)\n",
"\n",
"plt.scatter([i for i,j in x], y)\n",
"plt.scatter([i for i,j in x], y_pred, s=10)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "f2513bce-f3b7-493b-b43e-093171ffff42",
"metadata": {},
"source": [
"## ¿Cómo podemos aumentar los límites del ML?"
]
},
{
"cell_type": "markdown",
"id": "a6290a87-3933-4229-bf7b-f60647d42358",
"metadata": {},
"source": [
"Al igual que GPT combina el concepto de **recurrencia** con el de **atención** nosotros podemos buscar combinar la **extrapolación** de la regresión lineal con el ajuste **local** de los árboles de decisión"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "cc7eb985-89d8-4eb2-ae2f-5292d8158431",
"metadata": {},
"outputs": [],
"source": [
"from sklearn.linear_model import LinearRegression\n",
"from sklearn.ensemble import RandomForestRegressor\n",
"\n",
"\n",
"class GBLinear():\n",
"\n",
" def __init__(self, *args, **kwargs):\n",
"\n",
" self._ln = LinearRegression(**kwargs)\n",
" self._gb = RandomForestRegressor(**kwargs)\n",
"\n",
"\n",
" def fit(self, X, y):\n",
"\n",
" self._ln.fit(X, y)\n",
" self._gb.fit(X, y - self._ln.predict(X))\n",
"\n",
" return self\n",
"\n",
"\n",
" def predict(self, X):\n",
"\n",
" pred = self._ln.predict(X)\n",
" pred += self._gb.predict(X)\n",
"\n",
" return pred"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "1700fdb2-1789-4f11-b163-dff694d9be94",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import random\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.tree import DecisionTreeRegressor\n",
"\n",
"x = [[i,i**3] for i in range(1,11)]\n",
"y = [i**3 for i in range(1,11)]\n",
"\n",
"x[3][1] = 600\n",
"y[3] = 1600\n",
"model = GBLinear().fit(x,y)\n",
"\n",
"\n",
"x = [[i,i**3] for i in range(1,20)]\n",
"y = [i**3 for i in range(1,20)]\n",
"\n",
"x[3][1] = 600\n",
"y[3] = 1600\n",
"\n",
"y_pred=model.predict(x)\n",
"\n",
"plt.scatter([i for i,j in x], y)\n",
"plt.scatter([i for i,j in x], y_pred, s=10)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "64e80612-c1c6-4091-b6f5-576416a4b55c",
"metadata": {},
"source": [
"## Mi Paper: Distributed Gradient Boosted Forest"
]
},
{
"cell_type": "markdown",
"id": "e15577b2-51fe-4ede-b0ce-4f0ad3370cc1",
"metadata": {},
"source": [
"Podemos hacer aprendizaje distribuído con ensembles de árboles"
]
},
{
"cell_type": "markdown",
"id": "69525eb7-fab5-48c6-aafc-f6aeeebdc349",
"metadata": {},
"source": [
"<img 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\" />"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "aec46e72-0613-41a8-8b79-6b46a163db32",
"metadata": {},
"outputs": [],
"source": [
"import copy\n",
"import itertools\n",
"import numpy as np\n",
"from scipy.optimize import minimize\n",
"\n",
"from sklearn.tree import DecisionTreeRegressor\n",
"from sklearn.metrics import mean_squared_error\n",
"from sklearn.base import BaseEstimator, ClassifierMixin\n",
"from sklearn.utils.validation import check_X_y, check_array, check_is_fitted\n",
"\n",
"\n",
"class DGBoostedForest(BaseEstimator, ClassifierMixin):\n",
"\n",
" \"\"\"\n",
" Distributed Gradient Booted Forest algorithm.\n",
" \"\"\"\n",
"\n",
" def __init__(\n",
" self,\n",
" n_trees=10,\n",
" n_layers=10,\n",
" max_depth=None,\n",
" learning_rate=0.1):\n",
"\n",
" self.n_trees = n_trees\n",
" self.n_layers = n_layers\n",
" self.max_depth = max_depth\n",
" self.learning_rate = learning_rate\n",
"\n",
"\n",
" @property\n",
" def _base_model(self):\n",
"\n",
" \"\"\"\n",
" The dummy estimator for the ensemble\n",
" \"\"\"\n",
"\n",
" return copy.deepcopy(DecisionTreeRegressor(max_depth=self.max_depth))\n",
"\n",
"\n",
" def get_params(self, deep=True):\n",
"\n",
" return {\n",
" \"n_trees\": self.n_trees,\n",
" \"n_layers\": self.n_layers,\n",
" \"max_depth\": self.max_depth,\n",
" \"learning_rate\": self.learning_rate\n",
" }\n",
"\n",
"\n",
" def set_params(self, **parameters):\n",
" for parameter, value in parameters.items():\n",
" setattr(self, parameter, value)\n",
" return self\n",
"\n",
"\n",
" def score(self, X, y):\n",
" \"\"\"\n",
" Root Mean Square error\n",
" \"\"\"\n",
" check_is_fitted(self, 'graph_')\n",
" return mean_squared_error(y,self.predict(X), squared=False)\n",
"\n",
"\n",
" def _bootstrap_sample(self, X, pseudo_y, l, t):\n",
"\n",
" \"\"\"\n",
" \"\"\"\n",
"\n",
" # Sample Size\n",
" pos = (X.shape[0]//self.n_trees)\n",
" size = pos + ((X.shape[0]-pos)//(self.n_layers)) * (l+1)\n",
"\n",
" # Bootstrap Sample\n",
" samples_ids = np.random.choice(\n",
" np.arange(X.shape[0]),\n",
" size=(size,))\n",
"\n",
" return X[samples_ids,:], pseudo_y[samples_ids,]\n",
"\n",
"\n",
" def _compute_tree_output_weights(self, tree_pred, y_real):\n",
"\n",
" \"\"\"\n",
" \"\"\"\n",
"\n",
" # Weigths optimization function\n",
" def optimization_function(weights,tree_pred, y_real):\n",
" y_pred = (tree_pred*weights).sum(axis=1)\n",
" return mean_squared_error(y_real, y_pred, squared=False)\n",
"\n",
" # Initial guess with uniform distribution (aritmetic mean)\n",
" weights_init = np.array([1/self.n_trees for _ in range(self.n_trees)])\n",
"\n",
" # Weights must be between 0 and 1\n",
" weights_bounds = [(0.0,1.0) for _ in range(self.n_trees)]\n",
"\n",
" # Weights must sum 1 (to be average)\n",
" weights_constraint = ({'type': 'eq', 'fun': lambda x: np.sum(x)-1})\n",
"\n",
" # Optimization process to find the weights\n",
" weights = minimize(\n",
" fun=optimization_function,\n",
" x0=weights_init,\n",
" args=(tree_pred, y_real),\n",
" bounds=weights_bounds,\n",
" constraints=weights_constraint\n",
" ).x\n",
"\n",
" return weights\n",
"\n",
"\n",
" def _fit_stage(self, X, pseudo_y_o, l):\n",
"\n",
" \"\"\"\n",
" For the current fitting layer, fit every tree of it.\n",
" \"\"\"\n",
"\n",
" new_layer = []\n",
" new_weights = []\n",
"\n",
" for t in range(self.n_trees):\n",
"\n",
" # Train Test split\n",
" X_lt, pseudo_y_lto = self._bootstrap_sample(X, pseudo_y_o, l, t)\n",
"\n",
" # Fit estimator\n",
" tree = self._base_model.fit(X_lt,pseudo_y_lto)\n",
"\n",
" # Compute weights from layer l, tree t and outputs o\n",
" w_lto = self._compute_tree_output_weights(\n",
" tree_pred = tree.predict(X).reshape((X.shape[0],-1)),\n",
" y_real = pseudo_y_o.mean(axis=1)\n",
" )\n",
"\n",
" new_weights.append(w_lto)\n",
" new_layer.append(tree)\n",
"\n",
" self.weights_.append(new_weights)\n",
"\n",
" return new_layer\n",
"\n",
"\n",
" def _predict_stage(self, X):\n",
"\n",
" \"\"\"\n",
" \"\"\"\n",
"\n",
" pred = np.full((X.shape[0],self.n_trees), self.prior_)\n",
" for l, layer in enumerate(self.graph_):\n",
" for t, tree in enumerate(layer):\n",
" tree_pred_o = tree.predict(X).reshape((X.shape[0],-1))\n",
" tree_pred = (tree_pred_o*self.weights_[l][t]).sum(axis=1)\n",
" pred[:,t] += tree_pred\n",
"\n",
" return pred\n",
"\n",
"\n",
" def fit(self,X,y):\n",
"\n",
" \"\"\"\n",
" \"\"\"\n",
"\n",
" # Init variables\n",
" self.graph_ = []\n",
" self.weights_ = []\n",
" self.prior_ = y.mean()\n",
"\n",
" X,y = check_X_y(X,y)\n",
"\n",
" for l in range(self.n_layers):\n",
"\n",
" # Compute predictiona\n",
" y_pred_o = self._predict_stage(X)\n",
"\n",
" # Get residuals\n",
" pseudo_y_o = y.reshape((-1,1))-y_pred_o\n",
"\n",
" # Learning rate\n",
" pseudo_y_o = pseudo_y_o*self.learning_rate\n",
"\n",
" # New layer\n",
" self.graph_.append(self._fit_stage(X, pseudo_y_o, l))\n",
"\n",
"\n",
" return self\n",
"\n",
"\n",
" def predict(self,X):\n",
"\n",
" \"\"\"\n",
" Predict Function\n",
" This predict function takes all the residual prediction of each tree\n",
" and extracts the one associated with the residual of the previous\n",
" layer estimator with the same feature_set samples.\n",
" \"\"\"\n",
" \n",
" X = check_array(X)\n",
" check_is_fitted(self, 'graph_')\n",
"\n",
" return self._predict_stage(X).mean(axis=1)"
]
}
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