in-context learning mechanism.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Testing the Properties of In-Context Learning\n",
    "\n",
    "For training we use the same specific token construction as in von Oswald et al., 2022 i.e. concatinate input and targets i.e. $e_i = (x_i,y_i)$. For the last index $i$ we set $y_i$ to $0$ and the transformer is trained to predict its value."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "mfs_jwBmWZN3"
   },
   "outputs": [],
   "source": [
    "import pickle\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import jax\n",
    "import optax\n",
    "import jax.numpy as jnp\n",
    "\n",
    "from meta_icl.transformer import Transformer\n",
    "from meta_icl.data import sample_regression_dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "id": "To8xuIaqYy2I"
   },
   "outputs": [],
   "source": [
    "# Configuration\n",
    "main_rng = jax.random.key(42)\n",
    "lr = 3e-4\n",
    "num_epochs = 3_000\n",
    "batch_size = 15_000\n",
    "\n",
    "set_size = 10\n",
    "key_size = 11\n",
    "input_size = 10\n",
    "num_layers = 1\n",
    "num_heads = 1\n",
    "\n",
    "# Model definition\n",
    "model = Transformer(\n",
    "    num_heads=num_heads,\n",
    "    key_size=key_size,\n",
    "    num_layers=num_layers,\n",
    "    output_size=1,\n",
    "    ic_length=set_size + 1,\n",
    "    use_pe=False,\n",
    "    use_bias=False,\n",
    "    only_attention=True, # No MLP after the MHA block if True\n",
    "    use_layer_norm=False,\n",
    "    use_non_lin_mix=False,\n",
    "    sum_norm=False,\n",
    "    use_softmax=False  # Linear self-attention if set to False\n",
    ")\n",
    "\n",
    "# Initialization\n",
    "rng_init, rng_apply = jax.random.split(main_rng)\n",
    "x = jnp.ones((1, 11, key_size))  # Input tensor\n",
    "params = model.init(rng_init, x, is_training=True)  # Initialize parameters\n",
    "y = model.apply(params, x, is_training=True)  # Example forward pass\n",
    "\n",
    "# Optionally load pretrained weights from\n",
    "# with open(\"output/transformer_1l_1h.pkl\", \"rb\") as f:\n",
    "#     params = pickle.load(f)\n",
    "\n",
    "# Optimizer\n",
    "opt_adam = optax.adam(learning_rate=lr)\n",
    "opt_params = opt_adam.init(params)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Training of the transformer by sampling a new batch of simple regression tasks at each epoch, basically training the transformer like you would for a meta-learning model on a distribution of tasks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 224,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "vYOZANFTWbm7",
    "outputId": "9ac24b6e-a5d0-48cb-fbb1-cfe6158ec247"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 0/3000: loss: 0.9956815838813782\n",
      "epoch 500/3000: loss: 0.8028658032417297\n",
      "epoch 1000/3000: loss: 0.7661433815956116\n",
      "epoch 1500/3000: loss: 0.44666779041290283\n",
      "epoch 2000/3000: loss: 0.42086803913116455\n",
      "epoch 2500/3000: loss: 0.420803964138031\n"
     ]
    }
   ],
   "source": [
    "@jax.jit\n",
    "def train_step(params, opt_params, X, y):\n",
    "    def compute_mse_loss(params, X, y):\n",
    "      # Obtain the final prediction\n",
    "      y_hat, _, _ = model.apply(params, X, is_training=True)\n",
    "      y_hat = y_hat[:, -1, -1]\n",
    "\n",
    "      loss = jnp.mean((y_hat - y[:, -1]) ** 2)  # MSE loss\n",
    "      return loss\n",
    "\n",
    "    loss_grad_fn = jax.value_and_grad(compute_mse_loss)\n",
    "    loss, grads = loss_grad_fn(params, X, y)\n",
    "\n",
    "    updates, opt_params = opt_adam.update(grads, opt_params, params)\n",
    "    params = optax.apply_updates(params, updates)\n",
    "    return loss, params, opt_params\n",
    "\n",
    "\n",
    "losses = []\n",
    "for epoch in range(num_epochs):\n",
    "    X, y, _ = sample_regression_dataset(main_rng, input_size, batch_size=batch_size, set_size=set_size, input_range=1.0)\n",
    "\n",
    "    loss, params, opt_params = train_step(params, opt_params, X, y)\n",
    "    losses.append(float(loss))\n",
    "\n",
    "    if epoch % 500 == 0:\n",
    "        print(f\"epoch {epoch}/{num_epochs}: loss: {loss}\")\n",
    "\n",
    "with open(f\"transformer_{num_layers}l_{num_heads}h.pkl\", \"wb\") as f:\n",
    "     pickle.dump(params, f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 225,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 487
    },
    "id": "bmLHRf_eWkSj",
    "outputId": "b8d10cf5-7048-457d-f537-086d4320d5d5"
   },
   "outputs": [
    {
     "data": {
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FQECAmDlzptDpdCb1/XvJrR07dph8pm/2e0VEDSMTogUNkxARtQBjx47FyZMn65yTSdK7cOECOnTogPfeew/PP/+81OUQkcQ4Z5aIWrWysjKTx+fOncPGjRvNeiETERE1HufMElGrFhAQgKlTpxrXXF2+fDlUKpXJvEsiImq5GGaJqFUbNWoUvvvuO2RkZECtViMsLAxvvfVWnQvyExFRy8M5s0RERERksThnloiIiIgsFsMsEREREVmsVjdn1mAwIC0tDY6OjpDJZFKXQ0RERET/IoRAUVERfHx8IJdff+y11YXZtLQ0+Pn5SV0GEREREd3AxYsX0bZt2+vu0+rCrKOjI4Dq5mi12mY/n16vx5YtWzBy5EgolcpmPx9VY9+lwb5Lg32XBvsuDfZdGubue2FhIfz8/Iy57XpaXZitmVqg1WrNFmY1Gg20Wi3/0JkR+y4N9l0a7Ls02HdpsO/SkKrv9ZkSygvAiIiIiMhiMcwSERERkcVimCUiIiIii9Xq5swSERERNSUhBCorK1FVVSV1Kc1Gr9fDxsYG5eXlTfY+lUolFArFTb8OwywRERFRI1VUVCA9PR2lpaVSl9KshBDw8vLCxYsXm2ydfplMhrZt28LBweGmXodhloiIiKgRDAYDkpOToVAo4OPjA5VKZbU3ZDIYDCguLoaDg8MNb2JQH0IIZGdn49KlS7jllltuaoSWYZaIiIioESoqKmAwGODn5weNRiN1Oc3KYDCgoqICtra2TRJmAcDd3R0XLlyAXq+/qTDLC8CIiIiIbkJThbvWpqlGsSXt/s6dOzFmzBj4+PhAJpNh/fr1NzwmJiYGvXv3hlqtRlBQENauXdvsdRIRERFRyyRpmC0pKUFISAiWLl1ar/2Tk5Nx55134rbbbkN8fDyeeeYZ/Oc//8Gff/7ZzJUSERERUUsk6ZzZ0aNHY/To0fXef8WKFejQoQM++OADAEDnzp2xe/dufPjhh4iIiGiuMomIiIiohbKoC8BiY2MRHh5usi0iIgLPPPPMNY/R6XTQ6XTGx4WFhQCq10vT6/XNUuc/1ZzDHOeiv7Hv0mDfpcG+S4N9l0ZL6rter4cQAgaDAQaDQepyGiQyMhL5+fn45Zdf6rW/EML4a1O9V4PBACFEnReANeT7a1FhNiMjA56enibbPD09UVhYiLKyMtjZ2dU6ZuHChZg/f36t7Vu2bDHrlYfR0dFmOxf9jX2XBvsuDfZdGuy7NFpC321sbODl5YXi4mJUVFRIXU6D6PV6VFZWGgf56quoqKjJaqioqEBZWRl27tyJyspKk+casm6vRYXZxpg9ezaioqKMjwsLC+Hn54eRI0dCq9U2+/k/2XYOP+xPwozhwXgotH2zn4+q6fV6REdHY8SIEVAqlVKX02qw79Jg36XBvkujJfW9vLwcFy9ehIODA2xtbQFUj1yW6c1/JzA7paJBqwMolUrY2NjUmYX++usvvPTSSzh69ChcXV0xefJkLFiwAGVlZXB0dMT//vc/vPHGG0hMTIRGo0GvXr3wyy+/wN7eHjExMXj55Zdx8uRJKJVKdO3aFV9//TXat6+dgcrLy2FnZ4chQ4YY+1ejISHbosKsl5cXMjMzTbZlZmZCq9XWOSoLAGq1Gmq1utZ2pVJplj8EhboqZJTJcDFfJ/kfutbIXN9nMsW+S4N9lwb7Lo2W0PeqqirIZDLI5XLj8lylFZXoNs/8o8anFkRAo6r/Wq0ymcxY+z9dvnwZd911F6ZOnYovv/wSZ86cwbRp02Bra4tnn30WGRkZmDRpEt59913ce++9KCoqwq5duyCTyWAwGDBu3DhMmzYN3333HSoqKhAXFweFQlHn8mVyuRwymazO72VDvrcWFWbDwsKwceNGk23R0dEICwuTqKIb83aq/p9Gen65xJUQERERXd+yZcvg5+eHJUuWQCaTITg4GGlpaXjppZfw9NNPIz09HZWVlRg3bpxxtLV79+4AgLy8PBQUFOCuu+5CYGAggOqL9ZubpGG2uLgYiYmJxsfJycmIj4+Hq6sr2rVrh9mzZ+Py5cv48ssvAQBPPPEElixZghdffBGPPvootm/fjh9++AEbNmyQ6i3cUE2YTSsok7gSIiIiam52SgVOLTD/Ckt2ysbfQeufTp8+jbCwMJMpC4MGDUJxcTEuX76MkJAQDB8+HN27d0dERARGjhyJ++67Dy4uLnB1dcXUqVMRERGBESNGIDw8HA888AC8vb2bpLZrkXSd2YMHD6JXr17o1asXACAqKgq9evXCnDlzAADp6elITU017t+hQwds2LAB0dHRCAkJwQcffIDPP/+8RS/L5eNcPf0hvYAjs0RERNZOJpNBo7Ix+1dT3U3rRhQKBaKjo7Fp0yZ06dIFn3zyCTp16oTk5GQAwJo1axAbG4uBAwdi3bp16NixI/bt29esNUk6Mjts2DDjUg91qevuXsOGDcORI0easaqm5XN1ZDarSAd9lQFKBW95R0RERC1T586d8b///Q9CCGNA3rNnDxwdHeHr6wugOrAPGjQIgwYNwpw5c9C+fXv88ssvxgvuawYqZ8+ejbCwMHz77bcYMGBAs9VsUXNmLVEbexUUMoEqIUNmYTnauphvOTAiIiKiaykoKEB8fLzJtunTp2Px4sV46qmnMGvWLCQkJGDu3Ll49tlnIZfLsX//fuzYsQMjR46Eh4cH9u/fj+zsbHTu3BnJycn47LPPcPfdd8PHxwcJCQk4d+4cJk+e3Kzvg2G2mcnlMjirgFxd9VQDhlkiIiJqCWJiYoxTPWs89thj2LhxI1544QWEhITA1dUVjz32GF599VWUlpZCq9Vi586dWLx4MQoLC9G+fXt88MEHGD16NDIzM3HmzBl88cUXyM3Nhbe3N2bOnInHH3+8Wd8Hw6wZuKgFcnUypOXzIjAiIiKS3tq1a+uczlkjLi7O5HHNXb86d+6MzZs313mMp6dnve8o1pQ4gdMMXFTVv15mmCUiIiJqUgyzZuBy9Z4NXGuWiIiIqGkxzJqBi7p6xQZOMyAiIiJqWgyzZsBpBkRERETNg2HWDJyvjszyxglERETW53pr5tO1NVXfGGbNoGZktqBMj2JdpbTFEBERUZNQKpUAgNLSUokrsUwVFRUAqu8qdjO4NJcZ2NoAWlsbFJZXIi2/DB09HaUuiYiIiG6SQqGAs7MzsrKyAAAajcZst5U1N4PBgIqKCpSXl0Muv/mxUIPBgOzsbGg0GtjY3FwcZZg1E19nOxRmFOFiXinDLBERkZXw8vICAGOgtVZCCJSVlcHOzq7JArtcLke7du1u+vUYZs2knasdTmcUISWXP4ogIiKyFjKZDN7e3vDw8IBer5e6nGaj1+uxc+dODBkyxDi94mapVKomGeVlmDWTdq7Vt7FNzWOYJSIisjYKheKm5362ZAqFApWVlbC1tW2yMNtUeAGYmfi52gFgmCUiIiJqSgyzZlIzMpuSWyJxJURERETWg2HWTNpdHZm9eKUMBgPXoyMiIiJqCgyzZuKttYWNXIaKSgMyi3jzBCIiIqKmwDBrJjYKOdq6VI/OckUDIiIioqbBMGtGfjUrGjDMEhERETUJhlkzat/m6kVgebwIjIiIiKgpMMyaUXtXewCcZkBERETUVBhmzaiDW3WYTcrmyCwRERFRU2CYNaNADwcAQFJOMZfnIiIiImoCDLNm5OdiB5VCjnK9AZfzy6Quh4iIiMjiMcyakY1CbpxqkJhVLHE1RERERJaPYdbMgq5ONTifzTBLREREdLMYZs2sZt4sR2aJiIiIbh7DrJkFMcwSERERNRmGWTMLcr8aZrOLIQRXNCAiIiK6GQyzZhbgbg+FXIb8Uj2yinRSl0NERERk0RhmzcxWqUCge/WKBifTCiSuhoiIiMiyMcxKoIu3FgBw8nKhxJUQERERWTaGWQl09XECAJxKZ5glIiIiuhkMsxLo6nN1ZDaNYZaIiIjoZjDMSqDL1TCbmleKwnK9xNUQERERWS6GWQk4a1TwdbYDAJzi6CwRERFRozHMSqS7b/W82fiL+dIWQkRERGTBGGYl0qe9CwDg4IUrEldCREREZLkYZiXSx786zB5OvcI7gRERERE1EsOsRLr6aKGykSOvpAJJOSVSl0NERERkkRhmJaK2USCkbfW82UOcakBERETUKAyzEurT3hUAEHchT+JKiIiIiCwTw6yEBgRUh9k9iTmcN0tERETUCAyzEgrt0AYqGznSC8qRmFUsdTlEREREFodhVkJ2KgVCO1SPzu48lyNxNURERESWh2FWYkNucQcA7DybLXElRERERJaHYVZigzu6AQD2J+eiXF8lcTVEREREloVhVmKdPB3hpbVFud6Avec51YCIiIioIRhmJSaTyRDR1RMAsOl4hsTVEBEREVkWhtkWIKKbFwAg+nQmKqsMEldDREREZDkkD7NLly6Fv78/bG1tERoairi4uGvuq9frsWDBAgQGBsLW1hYhISHYvHmzGattHv39XeFqr0J+qR77k3kDBSIiIqL6kjTMrlu3DlFRUZg7dy4OHz6MkJAQREREICsrq879X3vtNXz66af45JNPcOrUKTzxxBO49957ceTIETNX3rRsFHKM7FI91WDj8XSJqyEiIiKyHDZSnnzRokWYNm0aIiMjAQArVqzAhg0bsHr1arz88su19v/qq6/w6quv4o477gAAzJgxA1u3bsUHH3yAr7/+us5z6HQ66HQ64+PCwkIA1aO8er2+qd9SLTXnuNG5Irp44PsDF/HHsTTMHtURahvJB80tWn37Tk2LfZcG+y4N9l0a7Ls0zN33hpxHsjBbUVGBQ4cOYfbs2cZtcrkc4eHhiI2NrfMYnU4HW1tbk212dnbYvXv3Nc+zcOFCzJ8/v9b2LVu2QKPRNLL6houOjr7u8wYBOKkUKCirxAff/YmebXh726Zwo75T82DfpcG+S4N9lwb7Lg1z9b20tLTe+0oWZnNyclBVVQVPT0+T7Z6enjhz5kydx0RERGDRokUYMmQIAgMDsW3bNvz888+oqrr2+qyzZ89GVFSU8XFhYSH8/PwwcuRIaLXapnkz16HX6xEdHY0RI0ZAqVRed9/TyrP4bNcFXJB54pU7ejd7bdasIX2npsO+S4N9lwb7Lg32XRrm7nvNT9LrQ9JpBg310UcfYdq0aQgODoZMJkNgYCAiIyOxevXqax6jVquhVqtrbVcqlWb9Q1Cf8z3Qrx0+23UBO8/lIr/cAHfH2nVTw5j7+0zV2HdpsO/SYN+lwb5Lw1x9b8g5JJuY6ebmBoVCgczMTJPtmZmZ8PLyqvMYd3d3rF+/HiUlJUhJScGZM2fg4OCAgIAAc5Tc7II8HBHi54wqg8BPhy5JXQ4RERFRiydZmFWpVOjTpw+2bdtm3GYwGLBt2zaEhYVd91hbW1v4+vqisrIS//vf/3DPPfc0d7lmMym0HQDg630pXHOWiIiI6AYkvWQ+KioKK1euxBdffIHTp09jxowZKCkpMa5uMHnyZJMLxPbv34+ff/4ZSUlJ2LVrF0aNGgWDwYAXX3xRqrfQ5O4O8YGrvQqX88uw9XTmjQ8gIiIiasUknTM7YcIEZGdnY86cOcjIyEDPnj2xefNm40VhqampkMv/ztvl5eV47bXXkJSUBAcHB9xxxx346quv4OzsLNE7aHq2SgUe7OeHZTHnsXbvBYzq5i11SUREREQtluQXgM2aNQuzZs2q87mYmBiTx0OHDsWpU6fMUJW0Hh7QHp/uTMK+pDycTCtAVx8nqUsiIiIiapG4Mn8L5ONshzu7V4/ILt2RKHE1RERERC0Xw2wLNev2IADAxuMZOJtZJHE1RERERC0Tw2wL1dHTEaO7VS9RtmQ7R2eJiIiI6sIw24LVjM7+cSwNZzLqfycMIiIiotaCYbYF6+rjhDu6e8EggIUb677FLxEREVFrxjDbwr00KhhKhQx/nc3GzrPZUpdDRERE1KIwzLZw7dvYY3KYPwDgrY2neVcwIiIion9gmLUAT90eBCc7Jc5kFOGL2BSpyyEiIiJqMRhmLYCzRoWXRgUDAD7YkoDL+WUSV0RERETUMjDMWogH+/mhb3sXlFZU4fX1JyCEkLokIiIiIskxzFoIuVyGheO6Q6mQYfuZLPx2NE3qkoiIiIgkxzBrQW7xdMTM26rXnn1t/QlculIqcUVERERE0mKYtTCzbgtCr3bOKCqvxLPr4rm6AREREbVqDLMWxkYhx0cTesFBbYMDF67gY97qloiIiFoxhlkL1K6NBm+O7QYA+HjbOWw5mSFxRURERETSYJi1UGN7+WLqQH8AwLPr4nE2s0jagoiIiIgkwDBrwV69szPCAtqgpKIK0748iNxindQlEREREZkVw6wFUyrkWDqpN9q62CEltxSRaw+gWFcpdVlEREREZsMwa+Fc7VX44tH+cLVX4dilAjzx1SFUVHKFAyIiImodGGatQKC7A9ZM7QeNSoHdiTl49gcu2UVEREStA8OslQjxc8aKh/tAqZBhw7F0PL0uHnoGWiIiIrJyDLNWZEhHdyyb9Heg/b/vjjDQEhERkVVjmLUyI7p4YsXDfaBSyLHpRAae+OoQSit4URgRERFZJ4ZZKzS8syc+ndwHahs5tp3JwsSV+5HDZbuIiIjICjHMWqnbOnng22mhcNYocfRiPsYv34vknBKpyyIiIiJqUgyzVqxPe1f8b8ZA4zq09yzZjZiELKnLIiIiImoyDLNWLtDdAT8/ORA9/ZxRWF6JyLUHsGT7ORgMQurSiIiIiG4aw2wr4OFoi3WPD8DE/u0gBPD+lrN4/OtDyC+tkLo0IiIiopvCMNtKqG0UWDiuO94e1x0qhRzRpzIx+qNd2JeUK3VpRERERI3GMNvKPNi/Hf43YyA6uNkjvaAcE1fuw3t/nuF6tERERGSRGGZboe5tnfDHU7figb5tIQSwdMd5jFu2F6fSCqUujYiIiKhBGGZbKXu1Dd69LwTLJvWG1tYGxy8X4O4lu/HBlgToKqukLo+IiIioXhhmW7k7untja9RQRHT1RKVB4JPtibjz4904lJIndWlEREREN8QwS/DQ2uLTR/pi+aTecHNQIzGrGOOXx+K5H44iq6hc6vKIiIiIrolhloxGd/fG1qghuL9PWwDA/w5fwu3v/4XPdyXxAjEiIiJqkRhmyYSzRoX37g/Bz08ORI+2TijWVeLNDacx+qNd2H4mE0LwZgtERETUcjDMUp16t3PB+icH4Z3x3dHGXoXErGI8uvYgJny6j/NpiYiIqMVgmKVrkstlmNCvHbY/PwyPDw2A2kaOuAt5GL88Fv/54iDOZhZJXSIRERG1cgyzdENOdkrMHt0ZMS8Mw4P9/CCXAVtPZyJi8U48+c0hnLhcIHWJRERE1EoxzFK9eTvZ4e3xPbDl2aEY3c0LQgAbj2fgrk92Y+qaOBy4wOkHREREZF42UhdAlifIwwHLH+6DMxmFWB5zHr8fTUNMQjZiErLRt70LIgd1QERXT9go+H8lIiIial4Ms9RowV5afPRgLzwb3hGf7jyPnw5dwsGUKziYcgU+TrZ4JMwfD/bzg4u9SupSiYiIyEpx6Ixumr+bPRaO64HdL92Op24PQht7FdIKyvHO5jMYsHAbXvrpGA6nXuGyXkRERNTkODJLTcZTa4vnRnbCzNuC8MexdKzZk4yTaYVYd/Ai1h28iCAPBzzQty3u7dUW7o5qqcslIiIiK8AwS03OVqnAfX3aYnxvXxxMuYLv4lKx8Xg6ErOK8dbGM3hncwJu6+SOu3r4YHhnDzjaKqUumYiIiCwUwyw1G5lMhn7+rujn74r5d3fFH8fS8ePBizicmo+tp7Ow9XQWVDZyDO3ojrt6eGN4Z084qPmRJCIiovpjciCzcLRVYmL/dpjYvx0Ss4rwa3waNhxLR1JOCaJPZSL6VCZUNnIMCGiDYR3dMayTOzq42UMmk0ldOhEREbVgDLNkdkEejnhuZCdEjeiIMxlF2Hg83Rhsd57Nxs6z2VjwB+DnaodhHT0wMLAN+nVwhZsD59kSERGRKYZZkoxMJkNnby06e2sRNaIjzmUV46+EbMSczUJcch4u5pXhq30p+GpfCgAgwN0eoR1c0b+DK/q2d0VbFzuO3BIREbVykofZpUuX4r333kNGRgZCQkLwySefoH///tfcf/HixVi+fDlSU1Ph5uaG++67DwsXLoStra0Zq6amJpPJ0NHTER09HTFtSABKdJXYez4Xu85lIy45D2cyipCUXYKk7BJ8F3cRAOCsUaKbjxO6+TqhR1sndPd1YsAlIiJqZSQNs+vWrUNUVBRWrFiB0NBQLF68GBEREUhISICHh0et/b/99lu8/PLLWL16NQYOHIizZ89i6tSpkMlkWLRokQTvgJqLvdoGI7p4YkQXTwBAfmkFDl64grgLedifnIdTaQXIL9Vjd2IOdifm/H2cSoEgDwcEuNujKlcG24RsdPZ2hq+LHRRyhlwiIiJrI2mYXbRoEaZNm4bIyEgAwIoVK7BhwwasXr0aL7/8cq399+7di0GDBuGhhx4CAPj7+2PixInYv3+/Wesm83PWqBDexRPhV8OtrrIKZzOKcfxyAY5fLsCJywU4k1GIkooqHL1UgKOXCgAo8NvXRwAAKoUcbV3t0M5VY/rVRgM/Fw3suYoCERGRRZLsX/CKigocOnQIs2fPNm6Ty+UIDw9HbGxsnccMHDgQX3/9NeLi4tC/f38kJSVh48aNeOSRR655Hp1OB51OZ3xcWFgIANDr9dDr9U30bq6t5hzmOFdrIgcQ7KlBsKcG9/f2BgDoqwxIyS1FYnYJzmYUYs/x8yixcURybhkqKg3GaQp1cbZTwkurhqeTLby0tvDSquH1j997am3haMvAeyP8vEuDfZcG+y4N9l0a5u57Q84jExLdYzQtLQ2+vr7Yu3cvwsLCjNtffPFF/PXXX9ccbf3444/x/PPPQwiByspKPPHEE1i+fPk1zzNv3jzMnz+/1vZvv/0WGo3m5t8ItXgGAVzRAbk6GXLLgZxyGXJ1V38tB0qr6jf9QK0QcFYBWuXVX1WAs0qY/OqkBBS8STQREdFNKS0txUMPPYSCggJotdrr7mtRQ00xMTF46623sGzZMoSGhiIxMRFPP/003njjDbz++ut1HjN79mxERUUZHxcWFsLPzw8jR468YXOagl6vR3R0NEaMGAGlkne6MpeG9L2wTI+MwnJkFOqQUVBu/H1mYTkyCnTIKCxHYXkldFUyZJYBmWXXDr8yGeCqUcFTq4aHY/WIrqejGh5atck2Fzsl5FY4h5efd2mw79Jg36XBvkvD3H2v+Ul6fUgWZt3c3KBQKJCZmWmyPTMzE15eXnUe8/rrr+ORRx7Bf/7zHwBA9+7dUVJSgunTp+PVV1+FXF57SEytVkOtrr0+qVKpNOsfAnOfj6rVp+9tlEq00WrQ9Tr7lOgqkVFYjkzjV3XwzSoqR0ZB9eOsonLoqwRySyqQW1KBU+lF165LIYOHoy08r05n8HC0hZdT9WNPrS08tbbwcbKDnUrRyHcuLX7epcG+S4N9lwb7Lg1z9b0h55AszKpUKvTp0wfbtm3D2LFjAQAGgwHbtm3DrFmz6jymtLS0VmBVKKr/sZdotgS1EvZqGwS6OyDQ3eGa+xgMAldKK5B5dVQ3s7D8agDW/SMElyOnuAL6KoHL+WW4nF923fN6O9mig5s9AtztEeDmgA7u9gh0c+DqDERERFdJOs0gKioKU6ZMQd++fdG/f38sXrwYJSUlxtUNJk+eDF9fXyxcuBAAMGbMGCxatAi9evUyTjN4/fXXMWbMGGOoJZKKXC5DGwc12jio0cXn2lNYKioNyC6+GnALakKvDlnG8FsdgIt1lUgvKEd6QTn2ns81eQ1bpRydvLTo4u2ILldvPBHsrYUDV2UgIqJWRtJ/+SZMmIDs7GzMmTMHGRkZ6NmzJzZv3gxPz+rll1JTU01GYl977TXIZDK89tpruHz5Mtzd3TFmzBj897//leotEDWYykYOX2c7+DrbXXe//NIKJOWUXF2FoRjJV3+fnFuCcr0BRy/m4+jFfJNj2rfRoJefM/q0d0Hv9i7o5OkIG16RRkREVkzyYZxZs2Zdc1pBTEyMyWMbGxvMnTsXc+fONUNlRNJy1qjQu50Kvdu5mGyvMghcyC3B6fRCnEorrP41vRCZhTqk5JYiJbcU6+PTAFTfRKJnO2cMDHTDkFvc0dVHa5UXnhERUesleZglooZRyGXG+bt39fAxbs8rqcCJywU4nHoFh1Ku4EhqPop1ldiTmIs9ibl4788EuGiUGBjkhqEd3TGisydc7FUSvhMiIqKbxzBLZCVc7VUY0tEdQzq6A6gewT2XVYT9SXnYdS4H+5JycaVUjw3H0rHhWDoUchkGBLhiVDdvRHT1hIejrcTvgIiIqOEYZomslEIuQ7CXFsFeWkwZ6A99lQHxF/Ox62w2ok9n4XR6oXHUdu6vJzC0ozse6OuH4Z09obLhPFsiIrIMDLNErYRSIUc/f1f083dF1MhOuJBTgj9PZmDTiQzEX8zHjoRs7EjIhqu9Cvf3bYupA/3h7XT9i9SIiIikxjBL1Er5u9nj8aGBeHxoIJKyi/HToUv46dAlZBXp8OlfSVi1Kxl3h/jgP4MDrrvUGBERkZT4s0QiQoC7A14cFYy9L9+OlZP7IrSDKyoNAj8fuYw7Pt6FJ785hMSsYqnLJCIiqoUjs0RkZKOQY0QXT4zo4oljl/Lx2c4kbDiejo3HM7D5RAYm9PPD8yM7oY1D7VtEExERSYEjs0RUpx5tnbHkod7Y9PRgjOjiCYMAvou7iNs/+Avf7E9BlYG3kCYiIukxzBLRdQV7abFycl/89EQYunhrUVCmx6u/nMC4ZXtwLrNI6vKIiKiVY5glonrp6++K32YNwtwxXeCotsHRSwW465PdWLMnGQaO0hIRkUQYZomo3mwUckQO6oCtzw3F0I7u0FUaMP/3U4hcewD5pRVSl0dERK0QwywRNZin1hZrI/vhjXu6wlYpx19nszFmyW6cTue0AyIiMi+GWSJqFJlMhkfC/PHzjEHwc7XDxbwyPLByP47myqQujYiIWhGGWSK6KV18tPh91q0Y0tEd5XoD1pyV45u4i1KXRURErQTDLBHdNGeNCqun9MWD/dpCQIZ5v5/GB1sSIAQvDCMioubFMEtETcJGIceCMZ1xh18VAOCT7Yl4e9MZBloiImpWDLNE1GRkMhki2grMG9MZAPDpziS8vZmBloiImg/DLBE1uUn9/fDGPV0BAJ/+lYRF0WclroiIiKwVwywRNYtHwvwx/+7qQPvJ9kR8tS9F4oqIiMgaMcwSUbOZMtAfz4Z3BADM/fUEtpzMkLgiIiKyNgyzRNSs/m94EB7s5weDAP7v+yM4ejFf6pKIiMiKMMwSUbOSyWR4c2w33Napeh3aJ74+hJxindRlERGRlWCYJaJmZ6OQ46OJvRDgbo/0gnLM/OYw9FUGqcsiIiIrwDBLRGahtVXis0f6wF6lwP7kPCzceEbqkoiIyAowzBKR2QR5OOKDB3oCAFbvSca205nSFkRERBaPYZaIzGpUNy88dmsHAMCLPx1DdhHnzxIRUeMxzBKR2b0Q0QnBXo7ILanAiz8d5R3CiIio0RhmicjsbJUKfDyxF9Q2cuxIyMY3+1OlLomIiCwUwywRSaKjpyNeGhUMAHh70xlkFJRLXBEREVkihlkiksyUgf7o1c4ZxbpKvP7rCU43ICKiBmOYJSLJKOQyvD2uB5QKGaJPZWLzCd7uloiIGoZhlogk1cnLETOGBgIA5v52EsW6SokrIiIiS8IwS0SSm3l7ENq30SCrSIdlOxKlLoeIiCwIwywRSU5to8Brd3YBAHy+KxmpuaUSV0RERJaCYZaIWoTwzh4YfIsbKqoMeHPDKanLISIiC8EwS0Qtgkwmw5y7ukAhl2HLqUzsTcyRuiQiIrIADLNE1GLc4umISaHtAADv/pnApbqIiOiGGGaJqEWZdXsQ7JQKxF/Mx9bTWVKXQ0RELVyjwuzFixdx6dIl4+O4uDg888wz+Oyzz5qsMCJqnTwcbRE5yB8A8P6fCagycHSWiIiurVFh9qGHHsKOHTsAABkZGRgxYgTi4uLw6quvYsGCBU1aIBG1Po8PCYSjrQ0SMovw+9E0qcshIqIWrFFh9sSJE+jfvz8A4IcffkC3bt2wd+9efPPNN1i7dm1T1kdErZCTRonHhwQAAJbsSISBo7NERHQNjQqzer0earUaALB161bcfffdAIDg4GCkp6c3XXVE1GpNHugPR7UNErOKseVUptTlEBFRC9WoMNu1a1esWLECu3btQnR0NEaNGgUASEtLQ5s2bZq0QCJqnbS2SjwS1h4AsDwmkSsbEBFRnRoVZt955x18+umnGDZsGCZOnIiQkBAAwG+//WacfkBEdLMevbUD1DZyHL1UgL3nc6Uuh4iIWiCbxhw0bNgw5OTkoLCwEC4uLsbt06dPh0ajabLiiKh1c3NQY0I/P3wZm4JlMYkYFOQmdUlERNTCNGpktqysDDqdzhhkU1JSsHjxYiQkJMDDw6NJCySi1m36kAAo5DLsSczF6fRCqcshIqIWplFh9p577sGXX34JAMjPz0doaCg++OADjB07FsuXL2/SAomodWvrosGorl4AgC9jL0hbDBERtTiNCrOHDx/G4MGDAQA//fQTPD09kZKSgi+//BIff/xxkxZIRDRloD8A4Jcjl1FQqpe2GCIialEaFWZLS0vh6OgIANiyZQvGjRsHuVyOAQMGICUlpUkLJCLq5++CYC9HlOsN+PHQRanLISKiFqRRYTYoKAjr16/HxYsX8eeff2LkyJEAgKysLGi12iYtkIhIJpMZR2e/jE3hTRSIiMioUWF2zpw5eP755+Hv74/+/fsjLCwMQPUoba9evRr8ekuXLoW/vz9sbW0RGhqKuLi4a+47bNgwyGSyWl933nlnY94KEVmIe3r6wNHWBql5pYhN4jJdRERUrVFh9r777kNqaioOHjyIP//807h9+PDh+PDDDxv0WuvWrUNUVBTmzp2Lw4cPIyQkBBEREcjKyqpz/59//hnp6enGrxMnTkChUOD+++9vzFshIguhUdng7hAfAMBPhy5JXA0REbUUjQqzAODl5YVevXohLS0Nly5V/8PSv39/BAcHN+h1Fi1ahGnTpiEyMhJdunTBihUroNFosHr16jr3d3V1hZeXl/ErOjoaGo2GYZaoFbivT1sAwKYT6Sgq54VgRETUyJsmGAwGvPnmm/jggw9QXFwMAHB0dMRzzz2HV199FXJ5/TJyRUUFDh06hNmzZxu3yeVyhIeHIzY2tl6vsWrVKjz44IOwt7ev83mdTgedTmd8XFhYvU6lXq+HXt/8/xjWnMMc56K/se/SaO6+d/WyR4CbPZJySvB7/CXcfzXctnb8vEuDfZcG+y4Nc/e9IedpVJh99dVXsWrVKrz99tsYNGgQAGD37t2YN28eysvL8d///rder5OTk4Oqqip4enqabPf09MSZM2dueHxcXBxOnDiBVatWXXOfhQsXYv78+bW2b9myxax3K4uOjjbbuehv7Ls0mrPvXTUyJEGBz7edhH3msWY7jyXi510a7Ls02HdpmKvvpaWl9d63UWH2iy++wOeff467777buK1Hjx7w9fXFk08+We8we7NWrVqF7t27o3///tfcZ/bs2YiKijI+LiwshJ+fH0aOHGmWlRf0ej2io6MxYsQIKJXKZj8fVWPfpWGOvvcuLMeG93ciqUiGrgOGob0rb6HNz7s02HdpsO/SMHffa36SXh+NCrN5eXl1zo0NDg5GXl5evV/Hzc0NCoUCmZmZJtszMzPh5eV13WNLSkrw/fffY8GCBdfdT61WQ61W19quVCrN+ofA3Oejauy7NJqz735tlBgY6IbdiTnYcjobTw4LapbzWCJ+3qXBvkuDfZeGufrekHM06gKwkJAQLFmypNb2JUuWoEePHvV+HZVKhT59+mDbtm3GbQaDAdu2bTMu93UtP/74I3Q6HR5++OH6F05EVuGO7t4AgI3H0yWuhIiIpNaokdl3330Xd955J7Zu3WoMnbGxsbh48SI2btzYoNeKiorClClT0LdvX/Tv3x+LFy9GSUkJIiMjAQCTJ0+Gr68vFi5caHLcqlWrMHbsWLRp06Yxb4GILNjIrp54bf1xnLhciNTcUrRrw6kGREStVaNGZocOHYqzZ8/i3nvvRX5+PvLz8zFu3DicPHkSX331VYNea8KECXj//fcxZ84c9OzZE/Hx8di8ebPxorDU1FSkp5uOviQkJGD37t147LHHGlM+EVk4Nwc1BgRU/0d2A0dniYhatUaNzAKAj49PrQu9jh49ilWrVuGzzz5r0GvNmjULs2bNqvO5mJiYWts6deoEIXg7S6LW7I7u3th7Phcbj6djxrBAqcshIiKJNPqmCUREUhrVzQtyGXD8cgEu5tV/CRciIrIuDLNEZJHcHNTo38EVABB9KvMGexMRkbVimCUiixXeuXpu/bYzDLNERK1Vg+bMjhs37rrP5+fn30wtREQNMryzJ97ccBr7k/JQWK6H1pZrThIRtTYNCrNOTk43fH7y5Mk3VRARUX11cLNHgLs9krJLsPNsNu7q4SN1SUREZGYNCrNr1qxprjqIiBolvLMnPstOwvbTWQyzREStEOfMEpFFGx7sAQDYkZCFKgOX7CMiam0YZonIovVp7wInOyWulOpxOPWK1OUQEZGZMcwSkUWzUcgxpKM7AGDXuRyJqyEiInNjmCUii3drUPWtbfckMswSEbU2DLNEZPEGBbkBAOIv5qOoXC9xNUREZE4Ms0Rk8dq6aODfRoMqg8D+pDypyyEiIjNimCUiq1AzOrubUw2IiFoVhlkisgqDb6kOs5w3S0TUujDMEpFVCAtwg0wGnMsqRmZhudTlEBGRmTDMEpFVcNIo0c2n+pbb+5JyJa6GiIjMhWGWiKxGP39XAMCBC7wIjIiotWCYJSKr0b+DCwDgQDLvBEZE1FowzBKR1eh7dWQ2IbMI+aUVEldDRETmwDBLRFbDzUGNAHd7AMDBCxydJSJqDRhmiciq9L86OhvHebNERK0CwywRWZWai8DikhlmiYhaA4ZZIrIq/TtUh9kTlwtQWlEpcTVERNTcGGaJyKq0dbGDt5MtKg0C8an5UpdDRETNjGGWiKyKTCZD7/bVS3QdTuVFYERE1o5hloisTu921WH2CEdmiYisHsMsEVmd3u2cAQBHLuZDCCFtMURE1KwYZonI6nT1cYLKRo68kgpcyC2VuhwiImpGDLNEZHVUNnJ089ECAA6ncN4sEZE1Y5glIqtknDd7kWGWiMiaMcwSkVUyrmiQki9tIURE1KwYZonIKvW6ehHYmYxClOh48wQiImvFMEtEVsnbqfrmCQYBHL2UL3U5RETUTBhmichqcb1ZIiLrxzBLRFarZqrBEd4JjIjIajHMEpHV6tWu5ra2vHkCEZG1YpglIqvVzVcLlaL65gmpebx5AhGRNWKYJSKrpbZRoKvv1ZsncKoBEZFVYpglIqvWy4/rzRIRWTOGWSKyar3bOwPgyCwRkbVimCUiq1azPNeZjCKUVvDmCURE1oZhloismreTLTy1alQZBI5dKpC6HCIiamIMs0Rk1WQymXF09lAKpxoQEVkbhlkisnp92tfcCYxhlojI2jDMEpHVqwmzh1Ku8OYJRERWhmGWiKxeVx8nqGzkuFKqR1JOidTlEBFRE2KYJSKrp7KRI6StEwDOmyUisjYMs0TUKvRuX3PzBIZZIiJrwjBLRK1CH65oQERklRhmiahVqLkI7FxWMQpK9RJXQ0RETUXyMLt06VL4+/vD1tYWoaGhiIuLu+7++fn5mDlzJry9vaFWq9GxY0ds3LjRTNUSkaVq46BGBzd7AMDhixydJSKyFpKG2XXr1iEqKgpz587F4cOHERISgoiICGRlZdW5f0VFBUaMGIELFy7gp59+QkJCAlauXAlfX18zV05Elsh484QLDLNERNZC0jC7aNEiTJs2DZGRkejSpQtWrFgBjUaD1atX17n/6tWrkZeXh/Xr12PQoEHw9/fH0KFDERISYubKicgS/XO9WSIisg42Up24oqIChw4dwuzZs43b5HI5wsPDERsbW+cxv/32G8LCwjBz5kz8+uuvcHd3x0MPPYSXXnoJCoWizmN0Oh10Op3xcWFhIQBAr9dDr2/+eXM15zDHuehv7Ls0WnrfQ3wdAADxF6+grFwHG4XkM62aREvvu7Vi36XBvkvD3H1vyHkkC7M5OTmoqqqCp6enyXZPT0+cOXOmzmOSkpKwfft2TJo0CRs3bkRiYiKefPJJ6PV6zJ07t85jFi5ciPnz59favmXLFmg0mpt/I/UUHR1ttnPR39h3abTUvhsEYKdQoExvwKr/bYafg9QVNa2W2ndrx75Lg32Xhrn6XlpaWu99JQuzjWEwGODh4YHPPvsMCoUCffr0weXLl/Hee+9dM8zOnj0bUVFRxseFhYXw8/PDyJEjodVqm71mvV6P6OhojBgxAkqlstnPR9XYd2lYQt9/yT2EnedyoWnXDXcMaCd1OU3CEvpujdh3abDv0jB332t+kl4fkoVZNzc3KBQKZGZmmmzPzMyEl5dXncd4e3tDqVSaTCno3LkzMjIyUFFRAZVKVesYtVoNtVpda7tSqTTrHwJzn4+qse/SaMl97+vfBjvP5eLIpUI82kJrbKyW3Hdrxr5Lg32Xhrn63pBzSDZhTKVSoU+fPti2bZtxm8FgwLZt2xAWFlbnMYMGDUJiYiIMBoNx29mzZ+Ht7V1nkCUi+re+Vy8CO5CcByGExNUQEdHNkvTqh6ioKKxcuRJffPEFTp8+jRkzZqCkpASRkZEAgMmTJ5tcIDZjxgzk5eXh6aefxtmzZ7Fhwwa89dZbmDlzplRvgYgsTK92LlAp5MgoLEdKbv3nZBERUcsk6ZzZCRMmIDs7G3PmzEFGRgZ69uyJzZs3Gy8KS01NhVz+d9728/PDn3/+iWeffRY9evSAr68vnn76abz00ktSvQUisjB2KgV6+jkj7kIeYpNy4X/1RgpERGSZJL8AbNasWZg1a1adz8XExNTaFhYWhn379jVzVURkzQYEtkHchTzsS8rFxP7WcREYEVFrZR2LLBIRNcCAAFcAwL6kXM6bJSKycAyzRNTq9G7nApWNHJmFOiTnlEhdDhER3QSGWSJqdWyVCvTycwYA7EvKk7YYIiK6KQyzRNQqDQhoAwCITcqVuBIiIroZDLNE1CqFBV4Ns+dzYDBw3iwRkaVimCWiVql3OxfYqxTIKa7AybT63zaRiIhaFoZZImqVVDZyDAxyAwD8dTZL4mqIiKixGGaJqNUa1skdABCTkC1xJURE1FgMs0TUag3tWB1mD6deQUGpXuJqiIioMRhmiajVauuiQZCHAwwC2J2YI3U5RETUCAyzRNSqDetYM9WA82aJiCwRwywRtWq3BXsAALafyUIVl+giIrI4DLNE1Kr17+AKra0NcksqcDj1itTlEBFRAzHMElGrplTIMbyzJwDgzxMZEldDREQNxTBLRK1eRNfqMLvlVCaE4FQDIiJLwjBLRK3ekI7uUNvIkZpXijMZRVKXQ0REDcAwS0StnkZlg8G3VK9qsOVkpsTVEBFRQzDMEhEBGHl1qsGfJzlvlojIkjDMEhEBCO/sCYVchlPphUjOKZG6HCIiqieGWSIiAK72Ktwa5AYA+DX+ssTVEBFRfTHMEhFdNbaXDwDgt/g0rmpARGQhGGaJiK4a0cULtko5knJKcPxygdTlEBFRPTDMEhFd5aC2QfjVGyj8Gp8mcTVERFQfDLNERP8wtqcvAOD3o2morDJIXA0REd0IwywR0T8M6egOV3sVsop0+OtsttTlEBHRDTDMEhH9g8pGjvG9q0dnv4tLlbgaIiK6EYZZIqJ/ebB/OwDA9jNZSC8ok7gaIiK6HoZZIqJ/CXR3QGgHVxgE8MOBS1KXQ0RE18EwS0RUh4dCq0dn1x1IRZWBa84SEbVUDLNERHWI6OoFZ40SaQXl2HEmS+pyiIjoGhhmiYjqYKtU4IG+fgCA1XuSJa6GiIiuhWGWiOgapgz0h0Iuw97zuTiZxjuCERG1RAyzRETX4Otsh9HdvAAAq3dfkLYYIiKqE8MsEdF1PHZrBwDAb0cvI6uwXOJqiIjo3xhmiYiuo1c7F/Rp7wJ9lcBX+1KkLoeIiP6FYZaI6Ab+c3V09ou9F1BUrpe4GiIi+ieGWSKiGxjZ1QtBHg4oLK/El7EcnSUiakkYZomIbkAhl+Gp24MAACt3JaFYVylxRUREVINhloioHu7q4YMAN3vkl+rxNefOEhG1GAyzRET1oJDLMPO2q6OzO5NQWsHRWSKiloBhloionu7p6YP2bTTILanAql28KxgRUUvAMEtEVE82CjmiRnQEAHy6Mwm5xTqJKyIiIoZZIqIGGNPDB919nVCsq8Qn2xOlLoeIqNVjmCUiagC5XIbZo4MBAN/sT0FKbonEFRERtW4Ms0REDTQwyA1DO7pDXyXw7uYEqcshImrVGGaJiBrh5dHBkMuADcfTsfd8jtTlEBG1WgyzRESN0Nlbi4cHtAcAzP31JPRVBokrIiJqnRhmiYga6bkRndDGXoVzWcVYu+eC1OUQEbVKDLNERI3kpFHipVHVF4Mt3noWmYXlEldERNT6MMwSEd2E+/q0RU8/Z5RUVGHBH6ekLoeIqNVpEWF26dKl8Pf3h62tLUJDQxEXF3fNfdeuXQuZTGbyZWtra8ZqiYj+JpfL8ObYblDIZdhwLB1/nsyQuiQiolZF8jC7bt06REVFYe7cuTh8+DBCQkIQERGBrKysax6j1WqRnp5u/EpJSTFjxUREprr5OmH6kAAAwGvrT6CgVC9xRURErYfkYXbRokWYNm0aIiMj0aVLF6xYsQIajQarV6++5jEymQxeXl7GL09PTzNWTERU29PDb0GAuz2yi3R4cwOnGxARmYuNlCevqKjAoUOHMHv2bOM2uVyO8PBwxMbGXvO44uJitG/fHgaDAb1798Zbb72Frl271rmvTqeDTvf3/dMLCwsBAHq9Hnp984+e1JzDHOeiv7Hv0mjNfVcAeOueLpi46gB+PHQJo7t6YPAtbmY5d2vuu5TYd2mw79Iwd98bch6ZEEI0Yy3XlZaWBl9fX+zduxdhYWHG7S+++CL++usv7N+/v9YxsbGxOHfuHHr06IGCggK8//772LlzJ06ePIm2bdvW2n/evHmYP39+re3ffvstNBpN074hImr1/pcsx84MOZxUAi/1qIK9UuqKiIgsT2lpKR566CEUFBRAq9Ved19JR2YbIywszCT4Dhw4EJ07d8ann36KN954o9b+s2fPRlRUlPFxYWEh/Pz8MHLkyBs2pyno9XpER0djxIgRUCr5r5q5sO/SYN+BYRWVGLtsH5JzS7GrzBcf3d0DMpmsWc/JvkuDfZcG+y4Nc/e95ifp9SFpmHVzc4NCoUBmZqbJ9szMTHh5edXrNZRKJXr16oXExMQ6n1er1VCr1XUeZ84/BOY+H1Vj36XRmvvupFTio4m9MG7ZXmw6mYnw41kY36f2T42aQ2vuu5TYd2mw79IwV98bcg5JLwBTqVTo06cPtm3bZtxmMBiwbds2k9HX66mqqsLx48fh7e3dXGUSETVIj7bOeHZERwDA3N9O4mJeqcQVERFZL8lXM4iKisLKlSvxxRdf4PTp05gxYwZKSkoQGRkJAJg8ebLJBWILFizAli1bkJSUhMOHD+Phhx9GSkoK/vOf/0j1FoiIanliaCD6+bugWFeJZ9fFo7LKIHVJRERWSfI5sxMmTEB2djbmzJmDjIwM9OzZE5s3bzYut5Wamgq5/O/MfeXKFUybNg0ZGRlwcXFBnz59sHfvXnTp0kWqt0BEVItCLsOiB3rijo924WDKFSzeeg7PR3SSuiwiIqsjeZgFgFmzZmHWrFl1PhcTE2Py+MMPP8SHH35ohqqIiG6On6sGb43rjqe+O4IlOxLR198Fwzp5SF0WEZFVkXyaARGRNRsT4oNHBrQHADy7Lh5p+WUSV0REZF0YZomImtlrd3VGd18nXCnV46nvjkDP+bNERE2GYZaIqJmpbRRY+lBvONra4FDKFbz/Z4LUJRERWQ2GWSIiM2jXRoP37gsBAHy6MwkbjqVLXBERkXVgmCUiMpNR3bwwfUgAAOD5H4/iZFqBxBUREVk+hlkiIjN6MaITBt/ihjJ9FaZ/eQi5xTqpSyIismgMs0REZmSjkGPJxN7wb6PB5fwyPPnNYV4QRkR0ExhmiYjMzEmjxMrJfeGgtsH+5DzM//2k1CUREVkshlkiIgnc4umIxRN6QiYDvt6XijV7kqUuiYjIIjHMEhFJJLyLJ164eovbBX+cwuYTGRJXRERkeRhmiYgkNGNoICb2bwchgKe/P4JDKVekLomIyKIwzBIRSUgmk+GNe7ri9mAP6CoN+M8XB5CcUyJ1WUREFoNhlohIYjYKOT6Z2Mt4y9upa+KQXcQlu4iI6oNhloioBbBX22D11H7wc7VDSm4pHv58P66UVEhdFhFRi8cwS0TUQrg7qvHVo6HwcFQjIbMIk1fHobBcL3VZREQtGsMsEVEL4u9mj2+nhaKNvQrHLxcgcs0BlOgqpS6LiKjFYpglImphgjwc8dVjodDa2uBQyhVErj2AYgZaIqI6McwSEbVAXXy0+PKxUDiqbRCXnIdHVu1HQRmnHBAR/RvDLBFRC9XTzxnfTAuFs0aJI6n5eGjlPuTxojAiIhMMs0RELViPts74fvoAuDmocDKtEBM+jUVmYbnUZRERtRgMs0RELVywlxbrHg+Dl9YW57KKMW7ZXpzNLJK6LCKiFoFhlojIAgS6O+DHJ8IQ4GaPy/llGL98L/aez5G6LCIiyTHMEhFZCD9XDf43YyD6tndBUXklpqyOw0+HLkldFhGRpBhmiYgsiIu9Cl//JxR39vCGvkrg+R+PYsGGM6g0SF0ZEZE0GGaJiCyMrVKBTx7shVm3BQEAvtqXiiWnFMgq0klcGRGR+THMEhFZILlchucjOmHl5L5wUNsguUiGsctisTeR82iJqHVhmCUismAjunjilxmh8LYTyC6uwEOf78d/N5yCrrJK6tKIiMyCYZaIyML5t7HHs92r8GC/tgCAlbuScc+SPTidXihxZUREzY9hlojICqgVwBt3d8Hnk/uijb0KZzKKMOaT3Vi48TRKKyqlLo+IqNkwzBIRWZHwLp7489khGNXVC5UGgU93JiH8g7+w+UQGhBBSl0dE1OQYZomIrIybgxorHumDVVP6wtfZDmkF5Xji60O4f0UsDlzIk7o8IqImxTBLRGSlhnf2xNaooZh5WyDUNnIcTLmC+1fEInJNHA5cyONILRFZBYZZIiIrZqdS4IWIYPz1wm2Y2L8dFHIZdiRk4/4VsRi/fC/+PJkBg4GhlogsF8MsEVEr4OVki4XjumNr1FBM7O8HlUKOw6n5ePyrQxjy3g4s2X4OmYXlUpdJRNRgDLNERK1IBzd7LBzXA7tfvg1PDguE1tYGl66U4f0tZzHw7e34zxcH8fvRNBTruAICEVkGG6kLICIi8/NwtMWLo4Lxf8Nvwcbj6fguLhUHLlzB1tOZ2Ho6EyobOYZ2dMfwYA8MCnKDn6tG6pKJiOrEMEtE1IrZKhUY17stxvVui3OZRfj5yGVsOp6OC7mliD6ViehTmQAAP1c7DAxwQ692zuje1gkdPR2hVPCHe0QkPYZZIiICANzi6YiXRgXjxYhOOJNRhM0nMrAnMQfxF/NxMa8M6/IuYt3BiwAAlY0cnb216OzliEB3BwS42yPA3QF+LnawYcglIjNimCUiIhMymaw6qHpr8eyIjijRVeLAhTzsS8rD8cv5OHapAEXllTh6MR9HL+abHKtUyODjbAdvJ1v4ONnB29kW3k528HG2hZuDGi4aFVzsVbBXKSCTyaR5g0RkVRhmiYjouuzVNhjWyQPDOnkAAAwGgdS8Uhy7XIDEzCKczy7B+exiJOeUQFdpQEpuKVJyS6/7miqFHC72SrhoVHC0tYFGZQMHtQ00KgXs1TawV1/9VWUDW6UcKhs5VAoFVDZyKBUyqGzkUNexTaWQQy6XQSGTVf9q/D2qf726nYisB8MsERE1iFwug7+bPfzd7E22GwwC6YXluHylDOkFZbicX4b0/HKkF5QhvaAceSUVyCupgK7SgIoqAzILdcgs1EnyHmqF3H8E378HjP/+fc0mmQyQGR8JlJcr8PapnZD/Y5TZeMw/9q3+fc122d+v+Y/XN9n+j9chU0IIFBUpsOT8nnqP7v/9PaPGqul7r0HlaOemlLocEwyzRETUJORyGXyd7eDrbHfd/coqqpBXWoErV8Ntia4SJRVVV3+trP5V9/djnb46/OoqDai4+qWvqt5W8Y9tFVe31efGZlUGgSoIoOpm37UM+RVcn9f8ZMgoK5G6iFZIhooqg9RF1MIwS0REZmWnUsBXdePQ21hCCBhEdWA1CFEdXIWAwfDP36PWNiEEqgyAgDAGYiGqH9f8/u9zAJWVldi9ZzcGDRoEhcIG4h/nBwBhcoz4x+vB5PWEELW3wYrvynaTb62yqhL798chNLQ/bBQtL8ZY63eusrIS++Pi4OGglrqUWlrep4CIiOgmyGQyKGTVUwmak16vR6oD0N3XCUply/qxqzXT6/W4ckYgLKAN+25Ger0e+QkCdiqF1KXUwvVTiIiIiMhiMcwSERERkcVimCUiIiIii8UwS0REREQWi2GWiIiIiCwWwywRERERWawWEWaXLl0Kf39/2NraIjQ0FHFxcfU67vvvv4dMJsPYsWObt0AiIiIiapEkD7Pr1q1DVFQU5s6di8OHDyMkJAQRERHIysq67nEXLlzA888/j8GDB5upUiIiIiJqaSQPs4sWLcK0adMQGRmJLl26YMWKFdBoNFi9evU1j6mqqsKkSZMwf/58BAQEmLFaIiIiImpJJL0DWEVFBQ4dOoTZs2cbt8nlcoSHhyM2Nvaaxy1YsAAeHh547LHHsGvXruueQ6fTQafTGR8XFhYCqL6ThV6vv8l3cGM15zDHuehv7Ls02HdpsO/SYN+lwb5Lw9x9b8h5JA2zOTk5qKqqgqenp8l2T09PnDlzps5jdu/ejVWrViE+Pr5e51i4cCHmz59fa/uWLVug0WgaXHNjRUdHm+1c9Df2XRrsuzTYd2mw79Jg36Vhrr6XlpbWe19Jw2xDFRUV4ZFHHsHKlSvh5uZWr2Nmz56NqKgo4+PCwkL4+flh5MiR0Gq1zVWqkV6vR3R0NEaMGMF7SJsR+y4N9l0a7Ls02HdpsO/SMHffa36SXh+Shlk3NzcoFApkZmaabM/MzISXl1et/c+fP48LFy5gzJgxxm0GgwEAYGNjg4SEBAQGBpoco1aroVara72WUqk06x8Cc5+PqrHv0mDfpcG+S4N9lwb7Lg1z9b0h55D0AjCVSoU+ffpg27Ztxm0GgwHbtm1DWFhYrf2Dg4Nx/PhxxMfHG7/uvvtu3HbbbYiPj4efn585yyciIiIiiUk+zSAqKgpTpkxB37590b9/fyxevBglJSWIjIwEAEyePBm+vr5YuHAhbG1t0a1bN5PjnZ2dAaDW9msRQgBo2PD1zdDr9SgtLUVhYSH/B2lG7Ls02HdpsO/SYN+lwb5Lw9x9r8lpNbnteiQPsxMmTEB2djbmzJmDjIwM9OzZE5s3bzZeFJaamgq5vOkGkIuKigCAo7hERERELVxRURGcnJyuu49M1CfyWhGDwYC0tDQ4OjpCJpM1+/lqLji7ePGiWS44o2rsuzTYd2mw79Jg36XBvkvD3H0XQqCoqAg+Pj43HNSUfGTW3ORyOdq2bWv282q1Wv6hkwD7Lg32XRrsuzTYd2mw79IwZ99vNCJbQ/I7gBERERERNRbDLBERERFZLIbZZqZWqzF37tw617ql5sO+S4N9lwb7Lg32XRrsuzRact9b3QVgRERERGQ9ODJLRERERBaLYZaIiIiILBbDLBERERFZLIZZIiIiIrJYDLPNbOnSpfD394etrS1CQ0MRFxcndUkWa968eZDJZCZfwcHBxufLy8sxc+ZMtGnTBg4ODhg/fjwyMzNNXiM1NRV33nknNBoNPDw88MILL6CystLcb6VF27lzJ8aMGQMfHx/IZDKsX7/e5HkhBObMmQNvb2/Y2dkhPDwc586dM9knLy8PkyZNglarhbOzMx577DEUFxeb7HPs2DEMHjwYtra28PPzw7vvvtvcb61Fu1Hfp06dWuvzP2rUKJN92PeGW7hwIfr16wdHR0d4eHhg7NixSEhIMNmnqf5uiYmJQe/evaFWqxEUFIS1a9c299trserT92HDhtX6zD/xxBMm+7DvDbN8+XL06NHDeOODsLAwbNq0yfi8xX7WBTWb77//XqhUKrF69Wpx8uRJMW3aNOHs7CwyMzOlLs0izZ07V3Tt2lWkp6cbv7Kzs43PP/HEE8LPz09s27ZNHDx4UAwYMEAMHDjQ+HxlZaXo1q2bCA8PF0eOHBEbN24Ubm5uYvbs2VK8nRZr48aN4tVXXxU///yzACB++eUXk+fffvtt4eTkJNavXy+OHj0q7r77btGhQwdRVlZm3GfUqFEiJCRE7Nu3T+zatUsEBQWJiRMnGp8vKCgQnp6eYtKkSeLEiRPiu+++E3Z2duLTTz8119tscW7U9ylTpohRo0aZfP7z8vJM9mHfGy4iIkKsWbNGnDhxQsTHx4s77rhDtGvXThQXFxv3aYq/W5KSkoRGoxFRUVHi1KlT4pNPPhEKhUJs3rzZrO+3pahP34cOHSqmTZtm8pkvKCgwPs++N9xvv/0mNmzYIM6ePSsSEhLEK6+8IpRKpThx4oQQwnI/6wyzzah///5i5syZxsdVVVXCx8dHLFy4UMKqLNfcuXNFSEhInc/l5+cLpVIpfvzxR+O206dPCwAiNjZWCFEdFuRyucjIyDDus3z5cqHVaoVOp2vW2i3Vv0OVwWAQXl5e4r333jNuy8/PF2q1Wnz33XdCCCFOnTolAIgDBw4Y99m0aZOQyWTi8uXLQgghli1bJlxcXEz6/tJLL4lOnTo18zuyDNcKs/fcc881j2Hfm0ZWVpYAIP766y8hRNP93fLiiy+Krl27mpxrwoQJIiIiornfkkX4d9+FqA6zTz/99DWPYd+bhouLi/j8888t+rPOaQbNpKKiAocOHUJ4eLhxm1wuR3h4OGJjYyWszLKdO3cOPj4+CAgIwKRJk5CamgoAOHToEPR6vUm/g4OD0a5dO2O/Y2Nj0b17d3h6ehr3iYiIQGFhIU6ePGneN2KhkpOTkZGRYdJnJycnhIaGmvTZ2dkZffv2Ne4THh4OuVyO/fv3G/cZMmQIVCqVcZ+IiAgkJCTgypUrZno3licmJgYeHh7o1KkTZsyYgdzcXONz7HvTKCgoAAC4uroCaLq/W2JjY01eo2Yf/ntQ7d99r/HNN9/Azc0N3bp1w+zZs1FaWmp8jn2/OVVVVfj+++9RUlKCsLAwi/6s2zTbK7dyOTk5qKqqMvmGA4CnpyfOnDkjUVWWLTQ0FGvXrkWnTp2Qnp6O+fPnY/DgwThx4gQyMjKgUqng7OxscoynpycyMjIAABkZGXV+P2qeoxur6VNdffxnnz08PEyet7Gxgaurq8k+HTp0qPUaNc+5uLg0S/2WbNSoURg3bhw6dOiA8+fP45VXXsHo0aMRGxsLhULBvjcBg8GAZ555BoMGDUK3bt0AoMn+brnWPoWFhSgrK4OdnV1zvCWLUFffAeChhx5C+/bt4ePjg2PHjuGll15CQkICfv75ZwDse2MdP34cYWFhKC8vh4ODA3755Rd06dIF8fHxFvtZZ5glizF69Gjj73v06IHQ0FC0b98eP/zwQ6v8C4lalwcffND4++7du6NHjx4IDAxETEwMhg8fLmFl1mPmzJk4ceIEdu/eLXUprcq1+j59+nTj77t37w5vb28MHz4c58+fR2BgoLnLtBqdOnVCfHw8CgoK8NNPP2HKlCn466+/pC7rpnCaQTNxc3ODQqGodRVgZmYmvLy8JKrKujg7O6Njx45ITEyEl5cXKioqkJ+fb7LPP/vt5eVV5/ej5jm6sZo+Xe9z7eXlhaysLJPnKysrkZeXx+9FEwoICICbmxsSExMBsO83a9asWfjjjz+wY8cOtG3b1ri9qf5uudY+Wq22Vf9n/Fp9r0toaCgAmHzm2feGU6lUCAoKQp8+fbBw4UKEhITgo48+sujPOsNsM1GpVOjTpw+2bdtm3GYwGLBt2zaEhYVJWJn1KC4uxvnz5+Ht7Y0+ffpAqVSa9DshIQGpqanGfoeFheH48eMm/+BHR0dDq9WiS5cuZq/fEnXo0AFeXl4mfS4sLMT+/ftN+pyfn49Dhw4Z99m+fTsMBoPxH6OwsDDs3LkTer3euE90dDQ6derU6n/UXV+XLl1Cbm4uvL29AbDvjSWEwKxZs/DLL79g+/bttaZhNNXfLWFhYSavUbNPa/334EZ9r0t8fDwAmHzm2febZzAYoNPpLPuz3myXlpH4/vvvhVqtFmvXrhWnTp0S06dPF87OziZXAVL9PffccyImJkYkJyeLPXv2iPDwcOHm5iaysrKEENVLirRr105s375dHDx4UISFhYmwsDDj8TVLiowcOVLEx8eLzZs3C3d3dy7N9S9FRUXiyJEj4siRIwKAWLRokThy5IhISUkRQlQvzeXs7Cx+/fVXcezYMXHPPffUuTRXr169xP79+8Xu3bvFLbfcYrJEVH5+vvD09BSPPPKIOHHihPj++++FRqNp1UtEXa/vRUVF4vnnnxexsbEiOTlZbN26VfTu3Vvccsstory83Pga7HvDzZgxQzg5OYmYmBiTJaBKS0uN+zTF3y01yxW98MIL4vTp02Lp0qWteomoG/U9MTFRLFiwQBw8eFAkJyeLX3/9VQQEBIghQ4YYX4N9b7iXX35Z/PXXXyI5OVkcO3ZMvPzyy0Imk4ktW7YIISz3s84w28w++eQT0a5dO6FSqUT//v3Fvn37pC7JYk2YMEF4e3sLlUolfH19xYQJE0RiYqLx+bKyMvHkk08KFxcXodFoxL333ivS09NNXuPChQti9OjRws7OTri5uYnnnntO6PV6c7+VFm3Hjh0CQK2vKVOmCCGql+d6/fXXhaenp1Cr1WL48OEiISHB5DVyc3PFxIkThYODg9BqtSIyMlIUFRWZ7HP06FFx6623CrVaLXx9fcXbb79trrfYIl2v76WlpWLkyJHC3d1dKJVK0b59ezFt2rRa/zFm3xuurp4DEGvWrDHu01R/t+zYsUP07NlTqFQqERAQYHKO1uZGfU9NTRVDhgwRrq6uQq1Wi6CgIPHCCy+YrDMrBPveUI8++qho3769UKlUwt3dXQwfPtwYZIWw3M+6TAghmm/cl4iIiIio+XDOLBERERFZLIZZIiIiIrJYDLNEREREZLEYZomIiIjIYjHMEhEREZHFYpglIiIiIovFMEtEREREFothloiIiIgsFsMsEVErIpPJsH79eqnLICJqMgyzRERmMnXqVMhkslpfo0aNkro0IiKLZSN1AURErcmoUaOwZs0ak21qtVqiaoiILB9HZomIzEitVsPLy8vky8XFBUD1FIDly5dj9OjRsLOzQ0BAAH766SeT448fP47bb78ddnZ2aNOmDaZPn47i4mKTfVavXo2uXbtCrVbD29sbs2bNMnk+JycH9957LzQaDW655Rb89ttvxueuXLmCSZMmwd3dHXZ2drjllltqhW8iopaEYZaIqAV5/fXXMX78eBw9ehSTJk3Cgw8+iNOnTwMASkpKEBERARcXFxw4cAA//vgjtm7dahJWly9fjpkzZ2L69Ok4fvw4fvvtNwQFBZmcY/78+XjggQdw7Ngx3HHHHZg0aRLy8vKM5z916hQ2bdqE06dPY/ny5XBzczNfA4iIGkgmhBBSF0FE1BpMnToVX3/9NWxtbU22v/LKK3jllVcgk8nwxBNPYPny5cbnBgwYgN69e2PZsmVYuXIlXnrpJVy8eBH29vYAgI0bN2LMmDFIS0uDp6cnfH19ERkZiTfffLPOGmQyGV577TW88cYbAKoDsoODAzZt2oRRo0bh7rvvhpubG1avXt1MXSAialqcM0tEZEa33XabSVgFAFdXV+Pvw8LCTJ4LCwtDfHw8AOD06dMICQkxBlkAGDRoEAwGAxISEiCTyZCWlobhw4dft4YePXoYf29vbw+tVousrCwAwIwZMzB+/HgcPnwYI0eOxNixYzFw4MBGvVciInNgmCUiMiN7e/taP/ZvKnZ2dvXaT6lUmjyWyWQwGAwAgNGjRyMlJQUbN25EdHQ0hg8fjpkzZ+L9999v8nqJiJoC58wSEbUg+/btq/W4c+fOAIDOnTvj6NGjKCkpMT6/Z88eyOVydOrUCY6OjvD398e2bdtuqgZ3d3dMmTIFX3/9NRYvXozPPvvspl6PiKg5cWSWiMiMdDodMjIyTLbZ2NgYL7L68ccf0bdvX9x666345ptvEBcXh1WrVgEAJk2ahLlz52LKlCmYN28esrOz8dRTT+GRRx6Bp6cnAGDevHl44okn4OHhgdGjR6OoqAh79uzBU089Va/65syZgz59+qBr167Q6XT4448/jGGaiKglYpglIjKjzZs3w9vb22Rbp06dcObMGQDVKw18//33ePLJJ+Ht7Y3vvvsOXbp0AQBoNBr8+eefePrpp9GvXz9oNBqMHz8eixYtMr7WlClTUF5ejg8//BDPP/883NzccN9999W7PpVKhdmzZ+PChQuws7PD4MGD8f333zfBOyciah5czYCIqIWQyWT45ZdfMHbsWKlLISKyGJwzS0REREQWi2GWiIiIiCwW58wSEbUQnPVFRNRwHJklIiIiIovFMEtEREREFothloiIiIgsFsMsEREREVkshlkiIiIislgMs0RERERksRhmiYiIiMhiMcwSERERkcX6f7tEo775Xz7uAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 5))\n",
    "plt.plot(range(num_epochs), losses, label='Loss')\n",
    "plt.xlabel('Epochs')\n",
    "plt.ylabel('Loss')\n",
    "plt.title('Training Loss over Epochs')\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "KbBmoa45Y5gE",
    "outputId": "26999819-feb1-4a44-b5d6-10ed813c2f04"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 11, 11)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create a new set of evaluation data to inspect the layers\n",
    "X_eval, y_eval, _ = sample_regression_dataset(jax.random.key(43), input_size=input_size, batch_size=100, input_range=1.0)\n",
    "X_eval.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "gyZ0N0QQKvG4"
   },
   "source": [
    "### Analysis of the Weights\n",
    "\n",
    "The framework of Goh et al., 2021 explores the structure in transformer models. Here they see particular behavior in the attention head which might be connected to a concept which they call _induction heads_, these heads seem to contribute significantly to the in-context learning ability of transformers. These induction heads should exhibit approximately two properties:\n",
    "\n",
    "- **Prefix matching**: The head attends back to previous tokens that were followed by the current and/or recent token. It attends to the token which induction would suggest comes next.\n",
    "- **Copying**: The head's output increases the logit corresponding to the attended to token.\n",
    "\n",
    "For the copying behavior, I inspect one of the two circuits they talk about most. The first circuit is the query-key ($W_q \\cdot W_k$) which provides the attention score for eveyr query and key token (describes how much a given query token \"wants\" to attend to a given key token). The second the output-value ($W_o \\cdot W_v$) circuit which describes how a given token will affect the output logits if attended to.\n",
    "\n",
    "Finally, how you would find one of these copying matrices? They argue that one possibility is to look at the diagonal of a matrix, which describes how each token affects its own probability. And mention that \"It's worth noting that all of these potential notions of copying are linked by the fact that the sum of the eigenvalues is equal to the trace is equal to the sum of the diagonal.\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Visualization of the attention head outputs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 228,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 519
    },
    "id": "HNw4E4AFemTf",
    "outputId": "f6b187a6-a96b-47f3-e29c-c033ff24f24f"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Generate a number of evaluation tasks\n",
    "y_hat, attn, hidden = model.apply(params, X_eval, is_training=True)\n",
    "\n",
    "for n in range(num_layers):\n",
    "  for head in range(attn[n].shape[1]):\n",
    "    fig, (ax1, ax2) = plt.subplots(figsize=(10, 5), ncols=2)\n",
    "    fig.suptitle(f\"Layer {n} Head {head}\")\n",
    "\n",
    "    ax1.set_yticks(ticks=range(0, key_size-1))\n",
    "    ax1.set_yticklabels(range(1, key_size))\n",
    "    ax1.set_xticks(ticks=range(0, key_size+1))\n",
    "    ax1.set_xticklabels(range(1, key_size+2))\n",
    "\n",
    "    ax2.set_yticks(ticks=range(0, key_size-1))\n",
    "    ax2.set_yticklabels(range(1, key_size))\n",
    "    ax2.set_xticks(ticks=range(0, key_size+1))\n",
    "    ax2.set_xticklabels(range(1, key_size+2))\n",
    "\n",
    "    ax1.set_xlabel(\"Key\")\n",
    "    ax1.set_ylabel(\"Query\")\n",
    "    ax2.set_xlabel(\"Key\")\n",
    "    ax1.set_title(\"Single task act. of $K^TQ$\")\n",
    "    ax2.set_title(\"Task avg act. of $K^TQ$\")\n",
    "\n",
    "    single = jnp.squeeze(attn[n][0, head, :, :])\n",
    "    mean = jnp.mean(attn[n][:, head, :, :], axis=0)\n",
    "    vmin = jnp.max(jnp.array([jnp.abs(single), jnp.abs(mean)]))\n",
    "\n",
    "    pos = ax1.imshow(single, cmap='RdBu', vmin=-vmin, vmax=vmin)\n",
    "    fig.colorbar(pos, ax=ax1, shrink=1)\n",
    "    pos = ax2.imshow(mean, cmap='RdBu', vmin=-vmin, vmax=vmin)\n",
    "    fig.colorbar(pos, ax=ax2, shrink=1)\n",
    "\n",
    "    fig.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Visualization of matrices $W_K^T W_V$ and $W_O W_V$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 229,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 512
    },
    "id": "1ld5A2pxemV_",
    "outputId": "1a9eaa66-cf88-412f-d9a6-c958da1c0cc9"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for n in range(num_layers):\n",
    "  for head in range(num_heads):\n",
    "    KQ = jnp.identity(set_size + 1)\n",
    "    LV = jnp.identity(set_size + 1)\n",
    "\n",
    "    fig, (ax1, ax2) = plt.subplots(figsize=(10, 5), ncols=2)\n",
    "    fig.suptitle(f\"Layer {n} Head {head}\")\n",
    "    ax1.set_yticks(ticks=range(0, key_size))\n",
    "    ax1.set_yticklabels(range(1, key_size+1))\n",
    "    ax1.set_xticks(ticks=range(0, key_size))\n",
    "    ax1.set_xticklabels(range(1, key_size+1))\n",
    "\n",
    "    ax2.set_yticks(ticks=range(0, key_size))\n",
    "    ax2.set_yticklabels(range(1, key_size+1))\n",
    "    ax2.set_xticks(ticks=range(0, key_size))\n",
    "    ax2.set_xticklabels(range(1, key_size+1))\n",
    "\n",
    "    for k, v in params[\"params\"][\"attn_block\"].items():\n",
    "      if \"key\" in k:\n",
    "        KQ = jnp.matmul(KQ, v['kernel'][:, head*key_size: (head+1)*key_size])\n",
    "      elif \"query\" in k:\n",
    "        KQ = jnp.matmul(KQ, v['kernel'][:, head*key_size: (head+1)*key_size].T)\n",
    "      elif \"value\" in k:\n",
    "        LV = jnp.matmul(v['kernel'][:, head*key_size: (head+1)*key_size], LV)\n",
    "      elif \"final_proj\" in k:\n",
    "        LV = jnp.matmul(v['kernel'][head*key_size: (head+1)*key_size, :], LV)\n",
    "\n",
    "    vmin = jnp.max(jnp.array([jnp.abs(KQ), jnp.abs(LV)]))\n",
    "\n",
    "    ax1.set_title(\"Weights of $W^T_KW_V$\")\n",
    "    pos = ax1.imshow(KQ, cmap='RdBu', vmin=-vmin, vmax=vmin)\n",
    "    fig.colorbar(pos, ax=ax1, shrink=1)\n",
    "\n",
    "    ax2.set_title(\"Weight of $W_OW_V$\")\n",
    "    pos = ax2.imshow(LV, cmap='RdBu', vmin=-vmin, vmax=vmin)\n",
    "    fig.colorbar(pos, ax=ax2, shrink=1)\n",
    "\n",
    "    fig.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "LKOEcF6YAeYb"
   },
   "source": [
    "So, can we see similar behavior in the eigenvalues of these matrices? Where mostly positive eigenvalues mean there might be a lot of copying going on in the head."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 720
    },
    "id": "pYpyBqF4vSpw",
    "outputId": "c904ded1-2d1d-40fb-f36e-504e2840ec44"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qKSUlJYXavb377rtMDQBiHJVWxKyMjAx98MEHatCggS699NJKj6WlpYUuwfrzK1R99913eu655/TNN9+ETrg6/fTTtWzZstAX2JGML0nHHXec1q5dq+OPP14vvviijjnmGJ1yyimhx8NpeSVJH3/8sfr27SvpYDXr888/1y233GLruYfceeedKioq0kknnaRx48YpKSlJTzzxhCoqKkKXpDwSmzZt0tlnn63BgwdryZIl+tvf/qYLL7wwdOUfu9vfs2ePjjnmGP32t79Vt27dlJqaqvfee0+ffvppparezx1K3G+99VZdcMEF8ng8oXZgVfF4PDr33HM1e/Zs7du3r1IbsUPuueceffDBB+rdu7fGjh2rzp07q6ysTMuXL9d7772nsrKyasc/kudOnjxZ8+fP169//WtdddVVCgaDevTRR3X88cdrxYoVEdvOkbw2Z555pp5//nllZGSoc+fOWrJkid577z01bdq01vEvuOAC3XTTTTrnnHP0+9//Xvv379fjjz+uX/ziF4edxGVn/+r6b0Y62FLu0ksv1axZsxQIBELvy1deeUUTJkxQy5YttWnTJq1Zs0aPP/54lWM8+uij2rVrV+iPjH/84x+hq2ldc801oc+ZcNcFEKao9CwAbBg6dGiVLXwsy7ImTJhgSbL69u172GMvvPCCNWjQoErLfve731kPPPBARMa3LMu66qqrrDvuuMPy+/3Wsccea33yySeVHlcYLa8CgYCVmppqPf/885ZlHWyBJcnatm2bref/1PLly61BgwZZqampVsOGDa3+/ftbixcvPmy9urS8+vLLL63f/va3VlpamtWkSRNr/Pjx1o8//hj29isqKqw//vGPVrdu3ay0tDSrUaNGVrdu3azHHnsstE5VbZQsy7LuuOMOq1WrVpbL5Qo9Xt26lmVZRUVFliTLMAxr8+bNVe5faWmpdfXVV1u5ubmWx+OxsrOzrdNOO82aOXNmra+N3edWFeOCBQusHj16WF6v12rXrp311FNPWTfccIOVkpJSp+0cOk7bt2+vddt2XpsffvjBGjNmjNWsWTMrNTXVGjRokLV27VqrTZs21qhRo2odf/78+dbxxx9veb1eq0OHDtbf/va3Klte2dk/O/9mauLz+azJkydbbdq0sTwej9W+fXvroYceCj3+6KOPWhkZGZbf76/y+W3atLEkVXn7+X6Hsy6A8BiW9bPff4A498gjj+jjjz/W7NmzJR08K7hdu3aaPXt2qJp5pKZPn67FixfrtNNO0xtvvKG33norIuPGosmTJ2vKlCnavn17qKk/nDF06NDQlBbUnyFDhoQuugAgdjGnFUednj17atGiRdqyZYt27dqlK664Qt27d49YwiodnB6watUq3XXXXbrjjjsiNi4Sx48//ljp/tdff6133323xkvqwhmnnnqqrr/++miHAaAWzGnFUadv37668sor1aNHDwWDQQ0bNkwvvfRSRLdxKGkdNmxYaE4nEI78/HyNHj1a+fn5+vbbb/X444/L6/XqxhtvjHZoCYfXHIgPJK04Kk2cOFETJ050bPzmzZsfdmY1EI7BgwfrpZdeUklJiZKTk9WnTx/dfffdh13EAQBwEHNaAQAAEPOY0woAAICYR9IKAACAmMec1lqYpqnvv/9eaWlpR3StdQAAUH8sy9KePXvUsmXLSlc8RPwiaa3F999/f8TXbAcAANGxefNmHXPMMdEOAxFA0lqLtLQ0SQf/0R/ptdtxOL/fr/nz52vgwIHyeDzRDgc12Lt3rx555BFdc801Sk1NjXY4qAbvqfjAcXJeeXm5cnNzQ9/jiH8krbU4NCUgPT2dpNUBfr9fDRs2VHp6Oh/cMc7lciklJUXp6ekkrTGM91R84DjVH6b2HT2Y5AEAAICYR9IKwBav16suXbrI6/VGOxQAQAIiaQVgi2VZ8vl8XAkMABAVJK0AbPH7/Vq3bp38fn+0QwEAJCCSVgAAAMQ8klYAAADEPJJWALZxVRkAQLTE3TfQ9OnTlZeXp5SUFPXu3VtLly6tdt3XXntNvXr1UuPGjdWoUSN1795dzz//fD1GCxw9kpOT1bVrVyUnJ0c7FABAAoqrpHXOnDkqLCzUpEmTtHz5cnXr1k2DBg3Stm3bqlw/MzNTt956q5YsWaKVK1dqzJgxGjNmjObNm1fPkQPxzzRNlZeXyzTNaIcCAEhAcZW0Pvjggxo7dqzGjBmjzp07a8aMGWrYsKFmzZpV5fqnnnqqzjnnHHXq1Ent2rXTtddeq65du+qjjz6q58iB+Of3+7Vx40a6BwAAoiJuLuPq8/m0bNkyTZgwIbTM5XKpoKBAS5YsqfX5lmXp/fff17p163TvvfdWu15FRYUqKipC98vLyyUd/MLmyzryDr2mvLax76fHiuMVu3hPxQeOk/N4bY8+cZO07tixQ8FgUFlZWZWWZ2Vlae3atdU+b/fu3WrVqpUqKirkdrv12GOPacCAAdWuP3XqVE2ZMuWw5fPnz1fDhg3rvgOoUVFRUbRDQC2CwaAk6YMPPpDb7Y5yNKgN76n4wHFyzv79+6MdAiIsbpLWukpLS9OKFSu0d+9eLViwQIWFhcrPz9epp55a5foTJkxQYWFh6H55eblyc3M1cOBApaen11PUicPv96uoqEgDBgyQx+OJdjiowb59+/T111/r//7v/9SoUaNoh4Nq8J6KDxwn5x36pRRHj7hJWps1aya3263S0tJKy0tLS5WdnV3t81wul9q3by9J6t69u9asWaOpU6dWm7QmJydXeXa0x+Phg8VBvL6xr1GjRurYsaMaNWrEsYoDvKfiA8fJObyuR5+4ORHL6/WqZ8+eWrBgQWiZaZpasGCB+vTpY3sc0zQrzVkFYE8wGNTOnTtD0wQAAKhPcVNplaTCwkKNGjVKvXr10oknnqhp06Zp3759GjNmjCRp5MiRatWqlaZOnSrp4PzUXr16qV27dqqoqNC7776r559/Xo8//ng0dwOIS4FAQJs3b1YgEIh2KACABBRXSevw4cO1fft2TZw4USUlJerevbvmzp0bOjmruLi40hV79u3bp3Hjxum7775TgwYN1LFjR/3tb3/T8OHDo7ULAAAAqIO4Slolafz48Ro/fnyVjy1cuLDS/TvvvFN33nlnPUQFAAAAJ8XNnFYA0WUYhtLS0mQYRrRDAQAkoLirtAKIDq/Xq3bt2snr9UY7FITBCgYky5LcSfzBASCukbQCsCUQCGjr1q0KBAK0kokDZsV+BXbvlvz/7ZZiuGQ0TJcrNVOGi4tDAIg/TA8AYEswGFRpaSktr+KEuWvr/xJWSbJMWft2KbjzO1mmGb3AAKCOSFoB4ChiBWtpSRbwydz3Q/0EAwARRNIKAEcR68De2tfZt0uWZdVDNAAQOSStAGxxuVzKzMys1AsZsccK+GysZB68AUAc4dsHgC0ej0etW7fmJKxYZ9j8WKeTAIA4Q9IKwBa/36/i4mL5/f5oh4IauFJSa18puaEMu8ktAMQIPrUA2GKapsrKymRy5nls8yTXuoo7NbMeAgGAyCJpBYCjSOgCAp4GVT0oV5McGd4qHgOAGMfFBQDgKJSU2VJuKyjzwF7JsmR4vDJS0mRwIh2AOEXSCsAWt9utrKwsud1cTSleGN4Uub0p0Q4DACKCP7kB2JKUlKScnBwlJfG3LgCg/pG0ArDF5/Npw4YN8vls9AEFACDCSFoB2GJZlvbs2cOVlAAAUUHSCgAAgJhH0goAAICYR9IKwJakpCTl5uZyIhYAICpIWgHY4na71bRpU1peAQCigqQVgC0+n09r166lewAAICpIWgHYYlmWDhw4QPcAAEBUkLQCAAAg5pG0AgAAIOaRtAKwxePxKD8/Xx6PJ9qhAAASEEkrAFtcLpfS09PlcvGxAQCof3z7ALCloqJCK1euVEVFRbRDAQAkIJJWALaZphntEAAACYqkFQAAADGPpBUAAAAxj6QVgC0ej0cdOnSgewAAICpIWgHYYhiGvF6vDMOIdigAgARE0grAFp/Pp1WrVsnn80U7FABAAiJpBQAAQMwjaQUAAEDMI2kFAABAzCNpBWCL1+tVly5d5PV6ox0KACABkbQCsMWyLPl8PlmWFe1QAAAJiKQVgC1+v1/r1q2T3++PdigAgASUFO0AAAAAjjYHDhxwvEWg1+tVSkqKo9uIJSStAAAAEXTgwAE1SMuUAj86up3s7Gxt2rQpYRJXklYAtrlczCgCgNr4fD4p8KOSOp8vuR269HXQr5IvX5bP5yNpBYCfSk5OVteuXZWcnBztUAAgLhieFBluZzquWC63I+PGMsomAGwxTVPl5eUyTTPaoQAAEhCVVgC2+P1+bdy4UX6/n2orANhguNwynKqIWlRaAQAAgJhDpRUAAMABVFoji0orAFsMw1BKSooMw4h2KACABESlFYAtXq9XHTt2lNfrzJmwAHC0MQwHK60mlVYAqFIwGNTOnTsVDAajHQoAIAFRaQVgSyAQ0ObNmxUIBKIdCgDEBcPtkuF2ak5r4tUdE2+PAQAAEHeotAIAADjA5WD3AK6IBQDVMAxDaWlpdA8AAEQFlVYAtni9XrVr147uAQBgk6N9Wqm0AkDVAoGAtm7dyolYAICooNIKwJZgMKjS0lJaXgGATVRaI4tKKwAAAGIelVYAAAAHGC6XDJdD9UGnxo1hibfHAOrE5XIpMzNTrgT8oAQARB+VVgC2eDwetW7dWh6PJ9qhAEBcYE5rZJG0ArDF7/eruLhYfr+fxBUAbDg4PcCppDXxfvVKvD0GUCemaaqsrEymaUY7FABAAqLSCgAA4ADDcHB6gJF40wOotAIAACDmUWkFYIvb7VZWVpbc7sT76x4A6sTtluHQZ6ZlJt5nMZVWALYkJSUpJydHSUn8rQsAqH98+wCwxefzacOGDfL5fHQPAAAbnGx55dhc2RhGpRWALZZlac+ePbIsK9qhAAASEJVWAAAAB1BpjSwqrQAAAIh5VFoRkyzLkvbvkrlzixTwSd4GcjXLlZGSGu3QElZSUpJyc3M5EQsAbHK53HJxGdeI4dsHMccygwpu/FzaXSrJkGRJMhQs3SijRZ5cx3SWYRhRjjLxuN1uNW3alJZXAICoYHoAYo5ZvPq/Cat0MGH933+tbd/IKt0YlbgSnc/n09q1a+Xz+aIdCgDEBcPlCs1rjfwt8VK4xNtjxDTLf0DWzs01rmOWbJBlmvUUEQ6xLEsHDhygewAAICqYHoCYYu3eXvtKQb+0b5eUlul4PAAA1BXdAyKLSitiixm0tZpl2VsPAAAcHai0IqYYDdPtrZeS5nAk+DmPx6P8/HyuhgUANlFpjSwqrYgtjZpINba1MqTGWTK8KfUWEg5yuVxKT0+XKwEn/wMAoo9vH8QUwzDkbttDciXpYLurSo9KnmS5c4+PRmgJr6KiQitXrlRFRUW0QwGAuOBc5wDnKrixjKQVMcdomC5355NkNMuVjP/+E3UnychqK3enk6iyRpFJ1wYAiEuLFi3SWWedpZYtW8owDL3xxhs1rv/aa69pwIABat68udLT09WnTx/NmzevfoKtBkkrYpKR3EjuNl3k7jFY7u6D5O42UO5jOsnwJEc7NAAAbDEMByutRniV1n379qlbt26aPn26rfUXLVqkAQMG6N1339WyZcvUv39/nXXWWfr888/r8lJEBCdiIaYZhiG5+WcKAMCROP3003X66afbXn/atGmV7t99991688039Y9//EM9evSIcHT2kA0AsMXj8ahDhw50DwAAmwy3W4ZDl74+NG55eXml5cnJyUpOjvyvkqZpas+ePcrMjF6PdKYHALDFMAx5vd6D1W8AQEzIzc1VRkZG6DZ16lRHtnP//fdr7969Ov/88x0Z3w4qrQBs8fl8WrVqlQYOHCiv1xvtcAAg5hkul4N9Wg/WHTdv3qz09P/1OHeiyvriiy9qypQpevPNN9WiRYuIj28XSSsAAECcSk9Pr5S0Rtrs2bP1u9/9Tq+88ooKCgoc244dcTc9YPr06crLy1NKSop69+6tpUuXVrvuk08+qZNPPllNmjRRkyZNVFBQUOP6AAAAkRLvfVpfeukljRkzRi+99JLOOOMMx7dXm7hKWufMmaPCwkJNmjRJy5cvV7du3TRo0CBt27atyvUXLlyoESNG6IMPPtCSJUuUm5urgQMHasuWLfUcOQAASDSxlLTu3btXK1as0IoVKyRJmzZt0ooVK1RcXCxJmjBhgkaOHBla/8UXX9TIkSP1wAMPqHfv3iopKVFJSYl2794dsdcnXHGVtD744IMaO3asxowZo86dO2vGjBlq2LChZs2aVeX6L7zwgsaNG6fu3burY8eOeuqpp2SaphYsWFDPkQPxz+v1qkuXLsxnBYA49Nlnn6lHjx6hdlWFhYXq0aOHJk6cKEnaunVrKIGVpJkzZyoQCOjqq69WTk5O6HbttddGJX4pjua0+nw+LVu2TBMmTAgtc7lcKigo0JIlS2yNsX//fvn9/hrbNVRUVFS6TOWhVhJ+v19+v7+O0aM6h15TXtvY5/P5Qjc6CMQu3lPxgePkvFh4bV0uQy6XQ5+XYY576qmnyrKsah9/9tlnK91fuHBhHYJyVtwkrTt27FAwGFRWVlal5VlZWVq7dq2tMW666Sa1bNmyxonEU6dO1ZQpUw5bPn/+fDVs2DC8oGFbUVFRtENALYLBoNatWyev1yu3Q30HETm8p+IDx8k5+/fvj3YIiLC4SVqP1D333KPZs2dr4cKFSkmp/tr1EyZMUGFhYeh+eXl5aC6sk2fnJSq/36+ioiINGDCApvUxbu/evVq1apX69++v1NTUaIeDavCeig8cJ+f9vOl+NBguQ4ZDlVanxo1lcZO0NmvWTG63W6WlpZWWl5aWKjs7u8bn3n///brnnnv03nvvqWvXrjWuW92VJDweDx8sDuL1jX2Hjg/HKj5wnOIDx8k5vK5Hn7g5Ecvr9apnz56VTqI6dFJVnz59qn3efffdpzvuuENz585Vr1696iNU4KjlcsXNRwYARJ1hGI7eEk3cVFqlg2e6jRo1Sr169dKJJ56oadOmad++fRozZowkaeTIkWrVqlXoEmb33nuvJk6cqBdffFF5eXkqKSmRJKWmpvLzJhCm5ORkde3a1ZGrrQAAUJu4SlqHDx+u7du3a+LEiSopKVH37t01d+7c0MlZxcXFlSpBjz/+uHw+n377299WGmfSpEmaPHlyfYYOxD3TNFVeXi7TNKMdCgDEBcPB7gEWc1pj3/jx4zV+/PgqH/t5e4ZvvvnG+YCABOH3+7Vx40b5/X6qrQCAehd3SSsAAEA8MAwHuwck4JxWzqoAAABAzKPSCsAWwzCUkpKSkH/dA0Bd0Kc1sqi0ArDF6/WqY8eO8nq90Q4FAJCAqLQCsCUYDGrnzp0KBoM07QYAG1yGIZdDv05ZCfirF5VWALYEAgFt3rxZgUAg2qEAABIQlVYAAAAHMKc1sqi0AgAAIOZRaQVgi2EYSktLo3sAANhEpTWyqLQCsMXr9apdu3Z0DwAARAWVVgC2BAIBbd26VYFAgO4BAGCDy2XI5VBF1KLSCgBVCwaDKi0tVTAYjHYoAIAERKUVAADAAYbr4M2psRNNAu4yAAAA4g2VVgC2uFwuZWZmyuXib10AsMMwDMc6riRiJxeSVgC2eDwetW7dmpOwAMAml0sOnojlyLAxLQF3GUBd+P1+FRcXy+/3RzsUAEACotIKwBbTNFVWVibTNG2tH9j/o7b+45/a8a/FsgJBZXQ9Tsf89jdKbtHc4UgBIDZwcYHIImkFEHF71n6lz8aMk29nmWQYkmVp+8J/acP0mer65zuVPWRgtEMEAMQZklYAERXYu1efjrpS/vLygwss6+B/TVOWZek/hbeoYZtcpR/XKXpBAkA9MAwHK60JeCIWc1oB2OJ2u5WVlSW3213jet+/+a78P+ySglVMI7AsGYahb575mzNBAgCOWlRaAdiSlJSknJwcJSXV/LGxfeG/QlMCqmIFg9q2YJETIQJATHEZhlwOVUQtKq0AUDWfz6cNGzbI5/PVuJ7p81ebsB5iBQKRDA0AkABIWgHYYlmW9uzZI6uWhDSjy3EHmxNWx+VS+nEdIxwdAMSg/3YPcOKmBOweQNIKIKKOGX5uzSuYptqMurB+ggEAHDVIWgFEVMPcVjrujj9JhiHjpydt/bf6esz55yhrcEGUogOA+uNUldXJ/q+xjBOxANiSlJSk3NzcWk/EkqRjhg1Vo7Zt9M2s57Vj0ccyg0GlH9dJbUZdqJwzBydkqxYAwJEhaQVgi9vtVtOmTWtteXVIk1491KRXD0kH58OSqAJINC6XIZdDFVGnxo1lTA8AYIvP59PatWtr7R5QFRJWAMCRotIKwBbLsnTgwIFauwcAAA4yDMOxP9oTsRhApRUAAAAxj0orAACAAwzXwZtTYyeaBNxlAHXh8XiUn58vj8cT7VAAAAmISisAW1wul9LT0+Wq6WpXAIAQugdEFt8+AGypqKjQypUrVVFREe1QAAAJiEorANtM04x2CAAQN5y8clUiXhGLSisAAABiHpVWAAAAB9CnNbKotAKwxePxqEOHDnQPAABEBZVWALYYhiGv15uQf90DQF3QPSCyqLQCsMXn82nVqlXy+XzRDgUA4oJhGKGTsSJ+S8ACAkkrAAAAYh7TAwAAABzgdhlyO/QzvsX0AAAAACD2UGkFYIvX61WXLl3k9XqjHQoAxAWXg5VWk0orAFTNsiz5fD5ZlhXtUAAACYhKKwBb/H6/1q1bJ7/fr+Tk5GiHAwAxz8k5rVRaAQAAgBhEpRUAAMABVFoji0orANtcLj4yAADRQaUVgC3Jycnq2rUr81kBwCYqrZFF2QSALaZpqry8XKZpRjsUAEACotIKwBa/36+NGzfSPQAAbEpySUmOXRHLkWFjWgLuMgAAAOINlVYAAAAHMKc1sqi0ArDFMAylpKTIMBLvgxIAEH1UWgHY4vV61bFjR3m93miHAgBxweVgpTVIpRUAqhYMBrVz504Fg8FohwIASEBUWgHYEggEtHnzZgUCgWiHAgBxwW245HbooixuI/Hqjom3xwAAAAlm0aJFOuuss9SyZUsZhqE33nij1ucsXLhQJ5xwgpKTk9W+fXs9++yzjsdZE5JWAAAABxzqHuDULRz79u1Tt27dNH36dFvrb9q0SWeccYb69++vFStW6LrrrtPvfvc7zZs3ry4vRUQwPQCALYZhKC0tje4BABCHTj/9dJ1++um2158xY4batm2rBx54QJLUqVMnffTRR3rooYc0aNAgp8KsEUkrAFu8Xq/atWtH9wAAsMnJPq2Hxi0vL6+0PDk5OSJXLVyyZIkKCgoqLRs0aJCuu+66Ix67rpgeAMCWQCCgrVu3ciIWAMSQ3NxcZWRkhG5Tp06NyLglJSXKysqqtCwrK0vl5eX68ccfI7KNcFFpBWBLMBhUaWkpLa8AwKb6qLRu3rxZ6enpoeWRqLLGKpJWAACAOJWenl4paY2U7OxslZaWVlpWWlqq9PR0NWjQIOLbs4OkFQAAwAFuw5DboZNXnRr3kD59+ujdd9+ttKyoqEh9+vRxdLs1IWkFYIvL5VJmZqZcDjXKBoCjjZOXcXWFOe7evXu1fv360P1NmzZpxYoVyszMVOvWrTVhwgRt2bJFzz33nCTpyiuv1KOPPqobb7xRl156qd5//329/PLLeueddyK6H+Hg2weALR6PR61bt5bH44l2KACAMH322Wfq0aOHevToIUkqLCxUjx49NHHiREnS1q1bVVxcHFq/bdu2euedd1RUVKRu3brpgQce0FNPPRW1dlcSlVYANvn9fhUXF8vv95O4AoAN9XEill2nnnqqLMuq9vGqrnZ16qmn6vPPPw83NMdQaQVgi2maKisrk2ma0Q4FAJCAqLQCAAA4IMllKMmhSmvQoXFjGZVWAAAAxDwqrQBscbvdysrKktvtjnYoABAXYmlO69GASisAW5KSkpSTk6OkJP7WBQDUP759ANji8/m0YcMG+Xw+ugcAgA1UWiOLSisAWyzL0p49e2psmQIAgFOotAIAADjAbThYaXX4Mq6xiEorAAAAYh6VVgC2JCUlKTc3lxOxAMAml4NzWl3MaQWAqrndbjVt2pSWVwCAqCBpjZIf/UHtOeBXRSAY7VAAW3w+n9auXSufzxftUAAgLhzqHuDULdHwO189Kz/g1+YfftR+//+S1dTkJLVu3ECNkjkciF2WZenAgQN0DwAARAVZUj3a9aNfX2/fe9jyvRUBrSndo45ZaUolcQUA4KhAn9bIYnpAPbEsS9+U7av+cUnf/rC//gICAACII5T16kn5gYD8wZp/Vt3vC+pHX1ANvJzogtjj8XiUn5/P1bAAwCa3y7mKqDsBy44JuMvRURE0ba7HiVmITS6XS+np6XK5+NgAANS/uPv2mT59uvLy8pSSkqLevXtr6dKl1a67evVqnXfeecrLy5NhGJo2bVr9BfozSTb/0koiIUCMqqio0MqVK1VRURHtUAAgLtA9ILLiKkOaM2eOCgsLNWnSJC1fvlzdunXToEGDtG3btirX379/v/Lz83XPPfcoOzu7nqOtLCPFo9r+fXndhhoxNQAxzDTt/WIAAECkxVXS+uCDD2rs2LEaM2aMOnfurBkzZqhhw4aaNWtWlev/8pe/1J///GddcMEFSk5OrudoK3O7DLXKaFDjOsc0bigjAa8lDADA0YhKa2TFzYlYPp9Py5Yt04QJE0LLXC6XCgoKtGTJkohtp6KiotLPn+Xl5ZIkv98vv99/RGNnprgUSPXo+/If9dNWly7jYMKa7jWOeBvx5tD+Jtp+x6OfHiuOV+ziPRUfOE7O47U9+sRN0rpjxw4Fg0FlZWVVWp6VlaW1a9dGbDtTp07VlClTDls+f/58NWzYMGLb+bnvHRs5PhQVFUU7BNTCsix16NBBH374Ib8IxAHeU/GB4+Sc/fuj30bS5WBF1EWlFRMmTFBhYWHofnl5uXJzczVw4EClp6dHMbKjk9/vV1FRkQYMGEArpRjn8/k0b948DRgwQF6vN9rhoBq8p+IDx8l5h34pjSa3Ycjt0B/5To0by+ImaW3WrJncbrdKS0srLS8tLY3oSVbJyclVzn/1eDx8sDiI1zf2VVRUaNWqVRo4cCDHKg7wnooPHCfn8LoefeLmRCyv16uePXtqwYIFoWWmaWrBggXq06dPFCMDAAA4nMswHL0lmriptEpSYWGhRo0apV69eunEE0/UtGnTtG/fPo0ZM0aSNHLkSLVq1UpTp06VdPDnzC+//DL0/1u2bNGKFSuUmpqq9u3bR20/AAAAEJ64SlqHDx+u7du3a+LEiSopKVH37t01d+7c0MlZxcXFla7W8/3336tHjx6h+/fff7/uv/9+9evXTwsXLqzv8AEAQAJxS3I7VBBNxK7ucZW0StL48eM1fvz4Kh/7eSKal5cn66e9pQDUmdfrVZcuXTgJCwAQFXGXtAKIDsuy5PP5+EMQAGxyuQzHWlMlYsuruDkRC0B0+f1+rVu3jobdAICooNIKAADgAPq0RhaVVgAAAMQ8Kq0AbPtpdw4AQM2c7KeaiH1a+QYCYEtycrK6du1a5RXjAABwGpVWALaYpqny8nKZphntUAAgLrgM5/q0JmDzACqtAOzx+/3auHEj3QMAAFFBpRUAAMAB9GmNLCqtAAAAiHlUWgHYYhiGUlJSZCTgGasAUBd0D4gsKq0AbPF6verYsaO8Xm+0QwEAJCAqrQBsCQaD2rlzp4LBoDweT7TDAYCY53awe4BT48YyKq0AbAkEAtq8ebMCgUC0QwEAJCAqrQAAAA5gTmtkUWkFAABAzKPSCsAWwzCUlpZG9wAAsMntMuR2qJ+qU+PGMiqtAGzxer1q164d3QMAAFFBpRWALYFAQFu3blUgEKB7AADYwJzWyCJpBWBLMBhUaWmpgsFgtEMBgLhAy6vIYnoAAAAAYh6VVgAAAAcYDk4PSMSTYqm0ArDF5XIpMzNTLhcfGwCA+kelFYAtHo9HrVu35iQsALCJlleRRckEgC1+v1/FxcXy+/3RDgUAkICotAKwxTRNlZWVyTTNaIcCAHHBJcmpgmgiVh0TcZ8BAAAQZ6i0AgAAOMBtGHI7dJa/U+PGMiqtAGxxu93KysqS2+2OdigAgAREpRWALUlJScrJyVFSEh8bAGAHl3GNLCqtAGzx+XzasGGDfD5ftEMBACQgSiYAbLEsS3v27JFlWdEOBQDigtt18ObU2IkmAXcZAAAA8YZKKwAAgANchnNzTxPwglhUWgHYk5SUpNzcXE7EAgBEBd8+AGxxu91q2rQpLa8AwCaXg31a6R4AANXw+Xxau3Yt3QMAAFFBpRWALZZl6cCBA3QPAACb6NMaWVRaAQAAEsD06dOVl5enlJQU9e7dW0uXLq1x/WnTpqlDhw5q0KCBcnNzdf311+vAgQP1FO3hqLQCAAA4IJb6tM6ZM0eFhYWaMWOGevfurWnTpmnQoEFat26dWrRocdj6L774om6++WbNmjVLffv21VdffaXRo0fLMAw9+OCDEdqL8FBpBWCLx+NRfn6+PB5PtEMBAITpwQcf1NixYzVmzBh17txZM2bMUMOGDTVr1qwq11+8eLF+/etf68ILL1ReXp4GDhyoESNG1FqddVLYSWt+fr527tx52PJdu3YpPz8/IkEBiD0ul0vp6elyufhbFwDsODSn1ambJJWXl1e6VVRUHBaHz+fTsmXLVFBQ8L/YXC4VFBRoyZIlVcbet29fLVu2LJSkbty4Ue+++66GDBniwCtlT9jfPt98842CweBhyysqKrRly5aIBAUg9lRUVGjlypVVfiACAKIjNzdXGRkZodvUqVMPW2fHjh0KBoPKysqqtDwrK0slJSVVjnvhhRfq9ttv10knnSSPx6N27drp1FNP1S233OLIfthhe07rW2+9Ffr/efPmKSMjI3Q/GAxqwYIFysvLi2hwAGKLaZrRDgEA4oZhHLw5NbYkbd68Wenp6aHlycnJERl/4cKFuvvuu/XYY4+pd+/eWr9+va699lrdcccduu222yKyjXDZTlqHDh0a+v9Ro0ZVeszj8SgvL08PPPBAxAIDAABAzdLT0yslrVVp1qyZ3G63SktLKy0vLS1VdnZ2lc+57bbbdMkll+h3v/udJKlLly7at2+fLr/8ct16661RmSpme4umaco0TbVp00bbt28P3TdNUxUVFVq3bp3OPPNMJ2MFAACIGy4Zjt7s8nq96tmzpxYsWBBaZpqmFixYoD59+lT5nP379x+WmB66ImK0+nWH1fLK7/crPz9fZWVlatq0qVMxAYhBHo9HHTp0oHsAANhUH9MD7CosLNSoUaPUq1cvnXjiiZo2bZr27dunMWPGSJJGjhypVq1ahebEnnXWWXrwwQfVo0eP0PSA2267TWeddVbULucdVtLq8Xi0cuVKp2IBEMMMw5DX65WRgFdhAYB4N3z4cG3fvl0TJ05USUmJunfvrrlz54ZOziouLq5UWf3Tn/4kwzD0pz/9SVu2bFHz5s111lln6a677orWLoR/cYGLL75YTz/9tO655x4n4gEQo3w+n1atWqWBAwfK6/VGOxwAiHku4+DNqbHDNX78eI0fP77KxxYuXFjpflJSkiZNmqRJkybVITpnhJ20BgIBzZo1S++995569uypRo0aVXo8WldJAAAAwNEr7KT1iy++0AknnCBJ+uqrryo9xs+GAAAAB8XSnNajQdhJ6wcffOBEHAAAAEC1wk5aASQmr9erLl26MJ8VAGwKtzVVuGMnmjolrZ999plefvllFRcXy+fzVXrstddei0hgAGKLZVny+XxR688HAEhsYV/OYPbs2erbt6/WrFmj119/XX6/X6tXr9b7779f6dKuAI4ufr9f69atk9/vj3YoABAfjP/Na430LQELreEnrXfffbceeugh/eMf/5DX69Vf/vIXrV27Vueff75at27tRIwAAABIcGEnrRs2bNAZZ5wh6eAct3379skwDF1//fWaOXNmxAMEAACIR4f6tDp1SzRhJ61NmjTRnj17JEmtWrXSF198IUnatWuX9u/fH9noAMSUn1+HGgAAOw4cOHDEY4T9DXTKKaeoqKhIkjRs2DBde+21Gjt2rEaMGKHTTjvtiAMCEJuSk5PVtWtXJScnRzsUAIgLhsO3WGeapu644w61atVKqamp2rhxoyTptttu09NPPx32eGEnrY8++qguuOACSdKtt96qwsJClZaW6rzzzqtTAADig2maKi8vl2ma0Q4FABAH7rzzTj377LO67777KrVLPP744/XUU0+FPV5YLa+++eYbFRUVyefzqV+/fjr++ON18803h71RAPHH7/dr48aN8vv9VFsBwAaXYcjl0KWrnBo3kp577jnNnDlTp512mq688srQ8m7dumnt2rVhj2c7af3ggw905pln6scffzz4xKQkzZo1SxdffHHYGwUAAMDRbcuWLWrfvv1hy03TrFP7RNvTA2677TYNGDBAW7Zs0c6dOzV27FjdeOONYW8QAAAgERhyrk9r7NdZpc6dO+tf//rXYctfffVV9ejRI+zxbFdav/jiCy1evFg5OTmSpD//+c964okntHPnTjVt2jTsDQOIL4ZhKCUlRUYc/CQFAIi+iRMnatSoUdqyZYtM09Rrr72mdevW6bnnntPbb78d9ni2K63l5eVq1qxZ6H7Dhg3VoEED7d69O+yNAog/Xq9XHTt2rDSZHgBQPZfDt1j3m9/8Rv/4xz/03nvvqVGjRpo4caLWrFmjf/zjHxowYEDY44V1Ita8efMqXarVNE0tWLAg1KtVks4+++ywgwAQ+4LBoHbu3KlgMCiPxxPtcAAAceDkk08OtUo9UmElraNGjTps2RVXXBH6f8MwFAwGjzwqADEnEAho8+bNCgQC0Q4FAOKCYRiOTalKxKlatpNWejMCAACgJk2aNLGdUJeVlYU1dliVVgAAANjjMg7enBo7Fk2bNi30/zt37tSdd96pQYMGqU+fPpKkJUuWaN68ebrtttvCHpukFYAthmEoLS0tIX+SAgDY89OppOedd55uv/12jR8/PrTs97//vR599FG99957uv7668MaOx5OPgMQA7xer9q1a0f3AACwybEerf+9xbp58+Zp8ODBhy0fPHiw3nvvvbDHI2kFYEsgENDWrVs5EQsAbEr0lldNmzbVm2++edjyN998s049/pkeAMCWYDCo0tJSOoQAAGyZMmWKfve732nhwoXq3bu3JOmTTz7R3Llz9eSTT4Y9XtiJ+qhRo7Ro0aKwNwQAAJBIDrW8cuoW60aPHq2PP/5Y6enpeu211/Taa68pPT1dH330kUaPHh32eGFXWnfv3q2CggK1adNGY8aM0ahRo9SqVauwNwwAAICjW+/evfXCCy9EZKywk9Y33nhD27dv1/PPP6+//vWvmjRpkgoKCnTZZZfpN7/5DVfKAY5SLpdLmZmZcrniYSYVAERfIra8+qni4uIaH2/dunVY49VpTmvz5s1VWFiowsJCLV++XM8884wuueQSpaam6uKLL9a4ceN07LHH1mVoADHK4/GodevW/GEKALAlLy+vxmkM4Z4jcUQnYm3dulVFRUUqKiqS2+3WkCFDtGrVKnXu3Fn33Xdf2P23AMQuv9+v4uJi+f1+ElcAsCkOCqKO+fzzzyvd9/v9+vzzz/Xggw/qrrvuCnu8sJNWv9+vt956S88884zmz5+vrl276rrrrtOFF16o9PR0SdLrr7+uSy+9lKQVOIqYpqmysjIu6QwAsKVbt26HLevVq5datmypP//5zzr33HPDGi/spDUnJ0emaWrEiBFaunSpunfvftg6/fv3V+PGjcMdGgAA4KiR6HNaq9OhQwd9+umnYT8v7KT1oYce0rBhw5SSklLtOo0bN9amTZvCDgYAAABHh/Ly8kr3LcvS1q1bNXny5Dqd+xRW0ur3+zVmzBj16NFDxx9/fNgbAxC/3G63srKy5Ha7ox0KAMQFJ/upxkOf1saNGx8Wp2VZys3N1ezZs8MeL6yk9dDZw1wRB0g8SUlJysnJUVISF9IDANTugw8+qHTf5XKpefPmat++fZ2+S8J+xq233qpbbrlFzz//vDIzM8PeIID45PP5tGHDBvl8ProHAIANiT6n1TAM9e3b97AENRAIaNGiRTrllFPCGi/spPXRRx/V+vXr1bJlS7Vp00aNGjWq9Pjy5cvDHRJAHLAsS3v27JFlWdEOBQAQB/r376+tW7eqRYsWlZbv3r1b/fv3d75P69ChQ8N9CoAYZwaD2vV9qVxutzJyWoQ1V6q8dLsCFT5l5LSQmwosgDD8UL5Pu/f+qKzMdDVI8UY7nIgz5Fyf1jgotMqyrCq/T3bu3HlY0dOOsJPWSZMmhb0RALEpGAjovQef0vt/eUa7vy+VJLU4Nk8Db7xSv75seI3J67JX39U/73xE3/1njSSpUWZj9Rt3iQbfcrW8DarvLgIA//7Pet0+40299+/VkqSUZI8uPrOvbrviN8pp3ji6weGIHeq/ahiGRo8ereTk5NBjwWBQK1euVN++fcMeN+4uIj59+nTl5eUpJSVFvXv31tKlS2tc/5VXXlHHjh2VkpKiLl266N13362nSIHYZgaDevL8q/X6zfeGElZJ2rb+W/1t7M169YY7K62flJSk3NxcJSUlaf79M/XksHHasmpt6PF9Zbv0z7un6y8DLpb/wIF62w8A8WXuRyv1f5fdow+WrgktO1Dh1zNv/Et9L75DW7b9EMXoIstlGI7eYlVGRoYyMjJkWZbS0tJC9zMyMpSdna3LL79cf/vb38IeN+xKazAY1EMPPaSXX35ZxcXF8vl8lR4vKysLOwi75syZo8LCQs2YMUO9e/fWtGnTNGjQIK1bt+6w+RKStHjxYo0YMUJTp07VmWeeqRdffFFDhw7V8uXLadmFhLfslXe04vV5hz/w3zmrCx56Wj2HDVF+n56SDra8atq0qXZ9V6LXbpx6cFWz8vxWyzS1cckyLZz+vAbcMNbZHQAQd3z+gMbc9pSCpnXY/Phg0FTJzt2aMO1lPXf3FVGKEJHwzDPPSJLy8vL0hz/8oU5TAaoSdqV1ypQpevDBBzV8+HDt3r1bhYWFOvfcc+VyuTR58uSIBFWdBx98UGPHjtWYMWPUuXNnzZgxQw0bNtSsWbOqXP8vf/mLBg8erD/+8Y/q1KmT7rjjDp1wwgl69NFHHY0TiAcLpz8nw139R4Arya1FT7wYuu/z+bR27Vp9/NdX5XJV/zzLtLRw+nMRjRXA0eEfC1do56691Z7QGQyaenX+pyrbvbeeI3OGYTh7i3WTJk2KWMIq1aHS+sILL+jJJ5/UGWecocmTJ2vEiBFq166dunbtqn//+9/6/e9/H7Hgfsrn82nZsmWaMGFCaJnL5VJBQYGWLFlS5XOWLFmiwsLCSssGDRqkN954o9rtVFRUqKKiInT/0NUc9u7dG/qidrlc8ng88vv9la7D7na7lZSUJJ/PV+kNmZSUJLfbfdhyj8cjl8tVaXuHlhuGcVgV2+v1yrIs+f3+SsuTk5Nlmmal5YZhyOv1KhgMKhAIHLY8EAhUOmsvWvtkGIYsy9LevXsrtVGK532Kl+O0feNmJaU2qBSj5Q9KliXDe/CjYeuGb7R37155vV4dOHBABw4cUOm3ZXKnNZDbsmT5ApJhyPD874IDliXtLtmmfXv36qdfSxyn+tknn8+nYDBY6T0V7/vEcYqPfbJznNZtLFZmarJ+9AflMqQk9/8yL9OSAkFLbpe0dsNmdf1F7hHt0759+4T6d8IJJ2jBggVq0qSJevToUeO5EeF2nAo7aS0pKVGXLl0kSampqdq9e7ck6cwzz9Rtt90W7nC27dixQ8FgUFlZWZWWZ2Vlae3atVU+p6SkpMr1S0pKqt3O1KlTNWXKlMOWP/LII6FL12ZmZqp169YqLi6uNB0iKytLOTk52rBhg/bs2RNanpubq6ZNm2rt2rU68JO5fvn5+UpPT9fKlSsrvRE7dOggr9erVatWVYqhS5cu8vl8WrduXWiZy+VS165dVV5ero0bN4aWp6SkqGPHjtq5c6c2b94cWp6WlqZ27dpp69atKi393zzGaO/Tww8/fNTtU6wfp18/dkut++ST9MADD6hLly768ccfJUnb22Wq2XXDat2nOS+/zHGK4j4deuxo2qdDjqZ9SsTjdP2ZebXuU9E/XlbREe7TihUrFG2GZclwqE2gU+Meqd/85jehE68i3XHKsMJsutihQwc999xz6t27t0466SSdeeaZuvnmmzVnzhxdc8012rZtW0QDPOT7779Xq1attHjxYvXp0ye0/MYbb9SHH36oTz755LDneL1e/fWvf9WIESNCyx577DFNmTKl0pv8p6qqtObm5mrLli1KT0+XFPt/yUrx89e5YRgqKipSv379qLTW8z69e/tf9MGMv8n6yfiVKq2GNPTum9T7knPl9Xq1Z88ePfroozqtcw/NGXvwF4+qKq1yu3XC2QM14vE7OU5RquDNnz9f/fv3T6gKXrztU6Iep82lZTpl5F3yBa0qK63BoKVftMnSgqduDFXo6rpPO3bsUMuWLbV79+7Q93d9KS8vV0ZGhkpLShzbdnl5ubKys6Oyf9ESdqX1nHPO0YIFC9S7d29dc801uvjii/X000+ruLhY119/vRMxSpKaNWsmt9t9WLJZWlqq7OzsKp+TnZ0d1vrSwTfYT1szHJKamqrU1NRKy6q7KlCklnu9Vfesqyq+6pY7HeOR7pPf75dhGEpNTa3yOfG4T4fE+nE69apL9OH051Wx90dZQbPSYy5fQBktW+jXl5ynlNSD85FSU1OVn5+vnmcU6IM2j2vr6q9k/qwxtOEy5EpK0oDrLwv9MlGf+1TT8ng9TjUtr2qfDMOQ2+2u8j0Vr/skcZziYZ+k2o9Tp9RUnfV/v9SL7yyRWU3N7I+XnaW0tLQjjjGScynrzDIP3pwaO074fD5t27at0h8dktS6deuwxgn7RKx77rlHt9xyiyRp+PDhWrRoka666iq9+uqruueee8Idzjav16uePXtqwYIFoWWmaWrBggWVKq8/1adPn0rrS1JRUVG16wOJpMkxObr+vReU3qKZJMntSZLrv5faa96+jQo/mB1KWKWD1Y709HQleTy6dv5zat3z4DQhV1KS3J6Dz0tJT9PVb8/SMV071fPeAIgXj982SucPOlGS5Ha75Elyy2UY8iS59fCEizVs4IlRjhCR8tVXX+nkk09WgwYN1KZNG7Vt21Zt27ZVXl6e2rZtG/Z4YVdaf65Pnz71lgQWFhZq1KhR6tWrl0488URNmzZN+/bt05gxYyRJI0eOVKtWrTR16sF2PNdee6369eunBx54QGeccYZmz56tzz77TDNnzqyXeIFY16ZXV9397cda8WaRNnz8mVxutzoV/FqdBp5yWIeAiooKrVy5UqeddprSs5rrpn+/rg0ff6aV/3hPgQqfcnscp57nn8mFBQDUKNnr0XNTr9CEsWfp5XlLtXvPfrU9prkuHNJHTRun1j5AHDEsU4ZDFVGnxo2kMWPGKCkpSW+//bZycnLCutpiVeqUtH799df64IMPqiz1Tpw48YgCqsnw4cO1fft2TZw4USUlJerevbvmzp0bOtmquLi40hdt37599eKLL+pPf/qTbrnlFh177LF644036NEK/ITb41HP3w5Rz98OqXXdn77fDcNQ+5N+qfYn/dLJ8AAcpTrlt9Skq4ZGOwxnJfj0gBUrVmjZsmXq2LFjRMYLO2l98sknddVVV6lZs2bKzs6ulDUbhuFo0ipJ48eP1/jx46t8bOHChYctGzZsmIYNG+ZoTAAAAKisc+fO2rFjR8TGCztpvfPOO3XXXXfppptuilgQAAAARx3LCl1l0JGxY9y9996rG2+8UXfffbe6dOly2Elz4XY9CDtp/eGHH6hcAgnI4/GoQ4cO1Z6pCwDATxUUFEiSTjvttErLLcuSYRiV2rXZEXbSOmzYMM2fP19XXnlluE8FEMcO9YU80on0AJAwEnxO6wcffBDR8cJOWtu3b6/bbrtN//73v6ss9Tp1GVcA0eXz+bRq1SoNHDiw2h6NAAAc0q9fv4iOF3bSOnPmTKWmpurDDz/Uhx9+WOkxwzBIWgEAAHToMq5OtbyK/TmtK1eurHK5YRhKSUlR69atq70gRVXCTlo3bdoU7lMAAACQYLp3717jlDKPx6Phw4friSeeqPYqij8V9hWxAAAAYMOhOa1O3WLc66+/rmOPPVYzZ87UihUrtGLFCs2cOVMdOnTQiy++qKefflrvv/++/vSnP9kaz1altbCwUHfccYcaNWqkwsLCGtd98MEHbW0YQHzxer3q0qUL81kBALbcdddd+stf/qJBgwaFlnXp0kXHHHOMbrvtNi1dulSNGjXSDTfcoPvvv7/W8WwlrZ9//rn8fn/o/6vDWcXA0cuyLPl8PllxMI8KAGJCgncPWLVqldq0aXPY8jZt2mjVqlWSDk4h2Lp1q63xbCWtP21ZEOn2BQDig9/v17p16+T3+8OaOA8ASEwdO3bUPffco5kzZ4Z+pfP7/brnnntCl3bdsmWLsrKybI0X9olYAAAAsCHBK63Tp0/X2WefrWOOOUZdu3aVdLD6GgwG9fbbb0uSNm7cqHHjxtkaL+yk9ZxzzqlyGsCh9gXt27fXhRdeqA4dOoQ7NAAAAI4Sffv21aZNm/TCCy/oq6++knTwIlUXXnih0tLSJEmXXHKJ7fHCTlozMjL0xhtvqHHjxurZs6ckafny5dq1a5cGDhyoOXPm6N5779WCBQv061//OtzhAcQwl4uGIwBgm2VKZuJWWiUpLS0tYldRDTtpzc7O1oUXXqhHH3009AVmmqauvfZapaWlafbs2bryyit100036aOPPopIkACiLzk5WV27dmU+KwAgLF9++aWKi4vl8/kqLT/77LPDGifspPXpp5/Wxx9/XKni4nK5dM0116hv3766++67NX78eJ188snhDg0ghpmmqfLycplOVQ0A4ChjWKaDV8SK/c/ijRs36pxzztGqVatkGEao+8yhaabBYDCs8cL+rS8QCGjt2rWHLV+7dm1o4ykpKbS/Ao4yfr9fGzduDLW/AwCgJtdee63atm2rbdu2qWHDhlq9erUWLVqkXr16aeHChWGPF3al9ZJLLtFll12mW265Rb/85S8lSZ9++qnuvvtujRw5UpL04Ycf6rjjjgs7GAAAgKNGgncPWLJkid5//301a9ZMLpdLLpdLJ510kqZOnarf//73Nfb+r0rYldaHHnpI1113ne677z6dcsopOuWUU3Tffffp+uuvD10Na+DAgZo9e3a4QwMAAMAh06dPV15enlJSUtS7d28tXbq0xvV37dqlq6++Wjk5OUpOTtYvfvELvfvuu7a3FwwGQ10CmjVrpu+//17SwYsLrFu3Luz4w660ut1u3Xrrrbr11ltVXl4uSUpPT6+0TuvWrcMOBEBsO9TWjqk/AGCTZR28OTV2GObMmaPCwkLNmDFDvXv31rRp0zRo0CCtW7dOLVq0OGx9n8+nAQMGqEWLFnr11VfVqlUrffvtt2rcuLHtbR5//PH6z3/+o7Zt26p3796677775PV6NXPmTOXn54cVv3SEFxf4ebIK4Ojl9XrVsWPH0FVNAADx48EHH9TYsWM1ZswYSdKMGTP0zjvvaNasWbr55psPW3/WrFkqKyvT4sWL5fF4JEl5eXlhbfNPf/qT9u3bJ0maMmWKzjrrLJ188slq2rRpnX6Rr1PS+uqrr+rll1+usn3B8uXL6zIkgBgXDAa1c+dOBYPB0AcYAKAG9TCn9dCv3ockJycf1prQ5/Np2bJlmjBhQmiZy+VSQUGBlixZUuXwb731lvr06aOrr75ab775ppo3b64LL7xQN910k9xut60QBw0aFPr/Y489VmvXrlVZWZmaNGlSp1/twk5aH374Yd16660aPXq03nzzTY0ZM0YbNmzQp59+qquvvjrsAADEh0AgoM2bNysQCEQ7FADAf+Xm5la6P2nSJE2ePLnSsh07digYDCorK6vS8qysrCo7QkkH21W9//77uuiii/Tuu+9q/fr1GjdunPx+vyZNmlRjTJdeeqmt2GfNmmVrvUPCTlofe+wxzZw5UyNGjNCzzz6rG2+8Ufn5+Zo4caLKysrCHQ4AAOCoZFiWg31aD85p3bx5c6XpmpG6AIxpmmrRooVmzpwpt9utnj17asuWLfrzn/9ca9L67LPPqk2bNurRo0eoN2skhJ20FhcXq2/fvpKkBg0aaM+ePZIOtsL61a9+pUcffTRiwQEAAKB66enptZ5j1KxZM7ndbpWWllZaXlpaquzs7Cqfk5OTI4/HU2kqQKdOnVRSUiKfz1fj+Q1XXXWVXnrpJW3atEljxozRxRdfrMzMzDD2qmpht7zKzs4OVVRbt26tf//735KkTZs2RTSbBhBbDMNQWloa3QMAwK5Dc1qdutnk9XrVs2dPLViwILTMNE0tWLBAffr0qfI5v/71r7V+/fpKV0H86quvlJOTU+sJudOnT9fWrVt144036h//+Idyc3N1/vnna968eUeUK4adtP7f//2f3nrrLUnSmDFjdP3112vAgAEaPny4zjnnnDoHAiC2eb1etWvXju4BAGBXjCStklRYWKgnn3xSf/3rX7VmzRpdddVV2rdvX6ibwMiRIyudqHXVVVeprKxM1157rb766iu98847uvvuu22fv5ScnKwRI0aoqKhIX375pY477jiNGzdOeXl52rt3b1ixHxL29ICZM2eGsu6rr75aTZs21eLFi3X22WfriiuuqFMQAGJfIBDQ1q1bFQgE6B4AAHFm+PDh2r59uyZOnKiSkhJ1795dc+fODZ2cVVxcLJfrf7XM3NxczZs3T9dff726du2qVq1a6dprr9VNN90U9rZdLpcMw5BlWQoGg3Xeh7CT1kOX4Trkggsu0AUXXFDnAADEh2AwqNLS0iP6wAGAhBJjl3EdP368xo8fX+VjCxcuPGxZnz59QtNAw1VRUaHXXntNs2bN0kcffaQzzzxTjz76qAYPHlwpjwxHnfq0HjhwQCtXrtS2bdsqzXWQpLPPPrtOgQAAACD+jRs3TrNnz1Zubq4uvfRSvfTSS2rWrNkRjxt20jp37lyNHDlSO3bsOOwxwzCowgAAAEgyLNPBllcOVXAjYMaMGWrdurXy8/P14Ycf6sMPP6xyvddeey2sccNOWq+55hoNGzZMEydOPKxJLYCjl8vlUmZmZp1/1gEAJIaRI0c60mkm7KS1tLRUhYWFJKxAgvF4PGrdujUnYQGAXaZ58ObU2DHq2WefdWTcsEsmv/3tb6ucrAvg6Ob3+1VcXCy/3x/tUAAACSjsSuujjz6qYcOG6V//+pe6dOlyWNXl97//fcSCAxA7TNNUWVnZYSdfAgCqYVkHb06NnWDCTlpfeuklzZ8/XykpKVq4cGGlOQuGYZC0AgAAIOLCTlpvvfVWTZkyRTfffDMnZAAAAFQnxvq0xruws06fz6fhw4eTsAIJxu12KysrS263O9qhAAASUNiZ56hRozRnzhwnYgEQw5KSkpSTk6OkpDpdkwQAEs6hPq1O3RJN2N8+wWBQ9913n+bNm6euXbsediLWgw8+GLHgAMQOn8+nDRs2yOfz0fYKAFDvwk5aV61apR49ekiSvvjii0qPOdFIFkBssCxLe/bskZWAZ6wCQJ0wpzWiwk5aP/jgAyfiAAAAAKrF5DQAAAAnWJaDldbE+9XLdtJ67rnn2lrvtddeq3MwAGJXUlKScnNzORELABAVtr99MjIynIwDQIxzu91q2rQpLa8AwC4rKJlB58ZOMLaT1meeecbJOADEOJ/Pp7Vr16qgoIDuAQCAesfvfABssSxLBw4coHsAANhkmaYs05k5rU6NG8u4rBUAAABiHpVWAAAAJ5gOzml1atwYRqUVgC0ej0f5+fnMZwUARAWVVgC2uFwupaeny+Xib10AsIVKa0Tx7QPAloqKCq1cuVIVFRXRDgUA4oIVDDp6SzQkrQBsMxPwbFUAQGxgegAAAIATTPPgzamxEwyVVgAAAMQ8Kq0AbPF4POrQoQPdAwDALtN08EQsKq0AUCXDMOT1emUYRrRDAQAkIJJWALb4fD6tWrVKPp8v2qEAQFywzKCjt0RD0goAAICYx5xWAAAAJ1gOdg+wmNMKAAAAxBwqrQBs8Xq96tKli7xeb7RDAYC44OTcU+a0AkA1LMuSz+eTZVnRDgUAkICotAKwxe/3a926dfL7/UpOTo52OAAQ+8ygg31aqbQCAAAAMYdKKwAAgBNMB7sHcEUsAKiey8VHBgAgOqi0ArAlOTlZXbt2ZT4rANhkBYOygg51D3Bo3FhG2QSALaZpqry8XGYC/iQFAIg+Kq0AbPH7/dq4cSPdAwDALtN0sHtA4hUQqLQCAAAg5lFpBQAAcAJ9WiOKSisAWwzDUEpKigzDiHYoAIAERKUVgC1er1cdO3aU1+uNdigAEBcs05Tl0NxTp8aNZVRaAdgSDAa1c+dOBROwzQoAIPqotAKwJRAIaPPmzQoEAtEOBQDiA3NaI4qkFQAAwAmWg0mrlXhJK9MDAAAAEPOotAKwxTAMpaWl0T0AAGziRKzIotIKwBav16t27drRPQAAEBVUWgHYEggEtHXrVgUCAXk8nmiHAwCxj8u4RhSVVgC2BINBlZaW0vIKABAVVFoBAACcQMuriKLSCgAAgJhHpRWALS6XS5mZmXK5+FsXAOywgkFZDk2pcmrcWMa3DwBbPB6PWrduzUlYAICooNIKwBa/36/i4mL5/X4SVwCwwzSdO8uf7gEAUDXTNFVWViYzAT8oAQDRFzdJa1lZmS666CKlp6ercePGuuyyy7R3794anzNz5kydeuqpSk9Pl2EY2rVrV/0ECwAAcKh7gFO3BBM3SetFF12k1atXq6ioSG+//bYWLVqkyy+/vMbn7N+/X4MHD9Ytt9xST1ECAADACXExp3XNmjWaO3euPv30U/Xq1UuS9Mgjj2jIkCG6//771bJlyyqfd91110mSFi5cWE+R2mdZliRxHXfEDbfbraysLLnd7miHAgBxwTKDshyqiDo1biyLi6R1yZIlaty4cShhlaSCggK5XC598sknOueccyK2rYqKClVUVITul5eXSzp4Eorf7z/i8X0BU6V7KrRzf4VMS0pyGWrWKFnNU73yuOOm8B0xh17TSLy2cJZlWcrJyZFlWRyvGMZ7Kj5wnJzHa3v0iYuktaSkRC1atKi0LCkpSZmZmSopKYnotqZOnaopU6Yctnz+/Plq2LBhRLd1yHeOjBpfioqKoh0CahEMBvXNN98oGAxSbY0DvKfiA8fJOfv37492CLJMU5ZDJ686NW4si2rSevPNN+vee++tcZ01a9bUUzQHTZgwQYWFhaH75eXlys3N1cCBA5Wenn5EY68t3aP9/urL+RkpHrVr1uiIthFv/H6/ioqKNGDAANooxbi9e/fq4YcfVv/+/ZWamhrtcFAN3lPxgePkvEO/lOLoEdWk9YYbbtDo0aNrXCc/P1/Z2dnatm1bpeWBQEBlZWXKzs6OaEzJyclKTk4+bLnH4zmiD5Z9voAOmIZc7upf8j1+S5bhljcp8aYJHOnrC+cdOj4cq/jAcYoPHCfnxMLrapmWrKBTlVbLkXFjWVSzo+bNm6tjx4413rxer/r06aNdu3Zp2bJloee+//77Mk1TvXv3juIe2LffZ2/CdE2VWAAAgLqaPn268vLylJKSot69e2vp0qW2njd79mwZhqGhQ4c6G2At4qKk16lTJw0ePFhjx47V0qVL9fHHH2v8+PG64IILQp0DtmzZoo4dO1Y6ACUlJVqxYoXWr18vSVq1apVWrFihsrKyet8Hu00CXDQTQIxKSkpSbm6ukpLiYio8AESdFTQdvYVjzpw5Kiws1KRJk7R8+XJ169ZNgwYNOuyX7J/75ptv9Ic//EEnn3zykbwUEREXSaskvfDCC+rYsaNOO+00DRkyRCeddJJmzpwZetzv92vdunWVJl7PmDFDPXr00NixYyVJp5xyinr06KG33nqr3uPPSKn9ZwqXIaV6SQgQm9xut5o2bcpJWAAQhx588EGNHTtWY8aMUefOnTVjxgw1bNhQs2bNqvY5wWBQF110kaZMmaL8/Px6jLZqcZMhZWZm6sUXX6z28by8vFDv00MmT56syZMnOxyZPR63S80aebVjn6/adbLTU+Si1IoY5fP5tHbtWhUUFMTEXDEAiHX10T3g5yecVXVujs/n07JlyzRhwoTQMpfLpYKCAi1ZsqTabdx+++1q0aKFLrvsMv3rX/+KYPR1EzeV1qNBm8yGymhQ9d8JzRp51TI9pZ4jAuyzLEsHDhw47I9DAED05ObmKiMjI3SbOnXqYevs2LFDwWBQWVlZlZZnZWVV2zr0o48+0tNPP60nn3zSkbjrIm4qrUcDl2Ho2Gap2usLaue+CvmDlrxul5qnetWQaQEAABxV6jL3NJyxJWnz5s2VWnJW1QEpXHv27NEll1yiJ598Us2aNTvi8SKFTKmeGYahtOQkpSXz0gMAgCOTnp5eax/5Zs2aye12q7S0tNLy0tLSKluHbtiwQd98843OOuus0DLzv9MRkpKStG7dOrVr1y4C0YeH6QEAbPF4PMrPz2c+KwDYFCvdA7xer3r27KkFCxaElpmmqQULFqhPnz6Hrd+xY8dQx6VDt7PPPlv9+/fXihUrlJubG5HXJ1yU+wDY4nK5lJ6eLpeLv3UBwA4rGJQZdKb/uhXmuIWFhRo1apR69eqlE088UdOmTdO+ffs0ZswYSdLIkSPVqlUrTZ06VSkpKTr++OMrPb9x48aSdNjy+kTSCsCWiooKrVy5UqeddhrVVgCIM8OHD9f27ds1ceJElZSUqHv37po7d27o5Kzi4uKYL0qQtAKwzXSodQsAHI0sy8GWV1b4444fP17jx4+v8rGFCxfW+Nxnn3027O1FWmyn1AAAAICotAIAADiiPlpeJRIqrQBs8Xg86tChA/NZAQBRQaUVgC2GYcjr9cowuNQwANhBpTWyqLQCsMXn82nVqlXy+XzRDgUAkICotAIAADjAMi3nugeYliPjxjIqrQAAAIh5VFoBAAAcYAZNmQ7NPXVq3FhGpRWALV6vV126dJHX6412KACABESlFYAtlmXJ5/PJshJvHhUA1AXdAyKLSisAW/x+v9atWye/3x/tUAAACYhKKwAAgAOotEYWlVYAAADEPCqtAGxzufg7FwDssizTuT6tFpVWAKhScnKyunbtquTk5GiHAgBIQFRaAdhimqbKy8tlOlQ1AICjDXNaI4tKKwBb/H6/Nm7cSPcAAEBUUGkFAABwAJXWyKLSCgAAgJhHpRWALYZhKCUlRYZhRDsUAIgLpmk6dh5AIp5fQKUVgC1er1cdO3aU1+uNdigAgAREpRWALcFgUDt37lQwGJTH44l2OAAQ85jTGlkkrQBsCQQC2rx5swKBQLRDAYC4cDBpDTo2dqJhegAAAABiHpVWAAAAB1img5dx5UQsAKiaYRhKS0ujewAAICqotAKwxev1ql27dnQPAACbLNPBE7GotAJA1QKBgLZu3cqJWACAqKDSCsCWYDCo0tJSBR06ExYAjjoOtrwS3QMAAACA2EOlFQAAwAFm0JTpUEXUqXFjGZVWALa4XC5lZmbK5eJjAwBQ/6i0ArDF4/GodevWXMIVAGyiT2tkUTIBYIvf71dxcbH8fn+0QwEAJCAqrQBsMU1TZWVlMhPwr3sAqAvLwe4BjnUliGFUWgEAABDzqLQCAAA4wApasoKWY2MnGiqtAGxxu93KysqS2+2OdigAgAREpRWALUlJScrJyVFSEh8bAGCHaTrYpzUBzy+g0grAFp/Ppw0bNsjn80U7FABAAqJkAsAWy7K0Z88eWVbizaMCgLqwTEuW6dCcVofGjWVUWgEAABDzqLQCAAA4wAxKpsuZiqgZdGTYmEalFYAtSUlJys3N5UQsAEBU8O0DwBa3262mTZvS8goAbLKCpiwXV8SKFCqtAGzx+Xxau3Yt3QMAAFFBpRWALZZl6cCBA3QPAACbrKAly6E5rYl4RSySVgAAAAeYQcvBE7ESL2llegAAAABiHpVWALZ4PB7l5+fL4/HYWt+yLO367HPt+NdimcGgMrocpxan9ZPL5vMBIN5xIlZkkbQCsMXlcik9PV0uV+0/0Bwo3a7Pr7pO5V+skeF2S4YhKxCQt1lT9XjsATXu3rUeIgYAHE2YHgDAloqKCq1cuVIVFRU1rmf6fPps1BXas+YrSZIVDMoKBCRJvrIf9Nmoq7S/+DvH4wWAaDMtS6bp0C0BT4olaQVgm2nW/nNU6fz3tW/jN7KCVVyuxTRl+nz69q8vOhAdAOBoRtIKIKJK/lkk1TCFwAoGtfXtufUYEQBESdA62PbKgZvoHgAARyawZ69US0U2uG9/PUUDADhacCIWAFs8Ho86dOhQa/eARvl5+uHT5VVPD5Akw1DDvNYORAgAscUMmjINZ87yNxOwewCVVgC2GIYhr9crwzBqXO+Y4edVn7BKkmWp9UXnRzg6AMDRjqQVgC0+n0+rVq2Sz+ercb30Tr9Q2yvGHLzz8wTXZSjzV73U6rzfOBQlAMQOp+azhua1JhimBwCIuGMLx6tRXmttnPGM9n9bLEnyNM5Q64vOV/5Vl8nl5QIDAIDwkLQCiDjDMNTqvN+o5bln68DWElmBgFJysrkaFoCEYgUtWYYzFVEqrQAQQYZhqEHLnGiHAQA4CpC0ArDF6/WqS5cu8nq90Q4FAOIC3QMiixOxANhiWZZ8Pp+sBLx0IAAg+qi0ArDF7/dr3bp18vv9Sk5OjnY4ABDzLMuSZTo0pzUBCwhUWgEAABDzSFoBAAAcYAYtR2/hmj59uvLy8pSSkqLevXtr6dKl1a775JNP6uSTT1aTJk3UpEkTFRQU1Lh+fSBpBWCby8VHBgDEozlz5qiwsFCTJk3S8uXL1a1bNw0aNEjbtm2rcv2FCxdqxIgR+uCDD7RkyRLl5uZq4MCB2rJlSz1H/j98AwGwJTk5WV27dmU+KwDYdPDKVaZDt/AqrQ8++KDGjh2rMWPGqHPnzpoxY4YaNmyoWbNmVbn+Cy+8oHHjxql79+7q2LGjnnrqKZmmqQULFkTipakTklYAtpimqfLycplm4rVZAYBYVV5eXulWUVFx2Do+n0/Lli1TQUFBaJnL5VJBQYGWLFliazv79++X3+9XZmZmxGIPF0krAFv8fr82btwov98f7VAAIC4crLQ6d5Ok3NxcZWRkhG5Tp049LI4dO3YoGAwqKyur0vKsrCyVlJTY2pebbrpJLVu2rJT41jdaXgEAAMSpzZs3Kz09PXTfiSlc99xzj2bPnq2FCxcqJSUl4uPbRdIKAADgADNoyZQz/VQPdQ9IT0+vlLRWpVmzZnK73SotLa20vLS0VNnZ2TU+9/7779c999yj9957T127dj2yoI8Q0wMA2GIYhlJSUmQYRrRDAQCEwev1qmfPnpVOojp0UlWfPn2qfd59992nO+64Q3PnzlWvXr3qI9QaUWkFYIvX61XHjh3l9XqjHQoAxAXLNGU59Ie+FeZJsYWFhRo1apR69eqlE088UdOmTdO+ffs0ZswYSdLIkSPVqlWr0JzYe++9VxMnTtSLL76ovLy80NzX1NRUpaamRnZnbCJpBWBLMBjUzp07FQwG5fF4oh0OAMS8+pgeYNfw4cO1fft2TZw4USUlJerevbvmzp0bOjmruLi4Ui/uxx9/XD6fT7/97W8rjTNp0iRNnjz5iOOvC5JWALYEAgFt3rxZgUAg2qEAAOpg/PjxGj9+fJWPLVy4sNL9b775xvmAwkTSCgAA4ADLtGQ5VGm1TGfGjWWciAUAAICYR6UVgC2GYSgtLY3uAQBgV9CUZTn0mZmAVyek0grAFq/Xq3bt2tE9AAAQFXGTtJaVlemiiy5Senq6GjdurMsuu0x79+6tcf1rrrlGHTp0UIMGDdS6dWv9/ve/1+7du+sxauDoEQgEtHXrVk7EAgCbzKDl6C3RxE3SetFFF2n16tUqKirS22+/rUWLFunyyy+vdv3vv/9e33//ve6//3598cUXevbZZzV37lxddtll9Rg1cPQIBoMqLS1VMBiMdigAgAQUF3Na16xZo7lz5+rTTz8NXZHhkUce0ZAhQ3T//ferZcuWhz3n+OOP19///vfQ/Xbt2umuu+7SxRdfrEAgoKSkuNh1AAAQp6ygJcuie0CkxEXmtmTJEjVu3LjSJcQKCgrkcrn0ySef6JxzzrE1zu7du5Wenl5jwlpRUaGKiorQ/fLyckmS3++X3++v4x6gOodeU17b2PfTY8Xxil28p+IDx8l5vLZHn7hIWktKStSiRYtKy5KSkpSZmRm6rFhtduzYoTvuuKPGKQWSNHXqVE2ZMuWw5fPnz1fDhg3tB42wFBUVRTsE1MI0TWVmZmrhwoWVrpqC2MR7Kj5wnJyzf//+aIcg07JkOlRpdWrcWBbVpPXmm2/WvffeW+M6a9asOeLtlJeX64wzzlDnzp1rvfTYhAkTVFhYWOm5ubm5GjhwoNLT0484FlTm9/tVVFSkAQMGcGnQGMexig8cp/jAcXLeoV9KcfSIatJ6ww03aPTo0TWuk5+fr+zsbG3btq3S8kAgoLKyMmVnZ9f4/D179mjw4MFKS0vT66+/XuuHQ3JyspKTkw9b7vF4+GBxEK9v7PP7/SouLpYkjlUc4D0VHzhOzomF1zVoWQo6VBF1atxYFtWktXnz5mrevHmt6/Xp00e7du3SsmXL1LNnT0nS+++/L9M01bt372qfV15erkGDBik5OVlvvfWWUlJSIhY7kGhM01RZWZnMBGxoDQCIvriYmNapUycNHjxYY8eO1dKlS/Xxxx9r/PjxuuCCC0KdA7Zs2aKOHTtq6dKlkg4mrAMHDtS+ffv09NNPq7y8XCUlJSopKaFlDwAAcFzQcvaWaOLiRCxJeuGFFzR+/HiddtppcrlcOu+88/Twww+HHvf7/Vq3bl1o4vXy5cv1ySefSJLat29faaxNmzYpLy+v3mIHAADAkYmbpDUzM1MvvvhitY/n5eVV6oV26qmnOtYbDUhEbrdbWVlZcrvd0Q4FAOICc1ojKy6mBwCIvqSkJOXk5HBhDgBAVPDtA8AWn8+nDRs2yOfzxcRZuQAQ65yce8qcViCGWD/ukVn2vRTwyfCmyGh6jAxvg2iHlbAsy9KePXuYdgMAiAqSVsQcyzJlfrtK1s7vJBkHl8mSvv9KRs6xcuUcK8MwohskAAC1MB2c05qIV8RiTitijrl5zX8TVkmy/nv7772tX8va/m1U4gIAANFDpRUxxfJX1JqUmlu/ltG8tQyDv7nqU1JSknJzczkRCwBsCsrBOa3ODBvT+NZHTLHKt+unldUqBXzSvl31EQ5+wu12q2nTprS8AgBEBUkrYkswYGs1y0zEvzGjy+fzae3atfL5fNEOBQDiwqE+rU7dEg2/8yG2NEiztZqRkupwIPg5y7J04MABugcAgE1By7mf8ROx5RWVVsQUIzVTSm5Y0xpSenNaXwEAkGBIWhFTDMOQu213yXDpULurnzwqJXnkbn18FCIDACA8hy4u4NQt0ZC0IuYYjZrI3ekkGU2yFUpcDZeMZrkHl9dYiYVTPB6P8vPzuRoWACAqmNOKmGQ0SJM7/4SDJ1wF/ZLbI8PFWevR5HK5lJ6eLpeLv3UBwI6gZSlYW0ecIxg70fDtg5hmuNwyPCkkrDGgoqJCK1euVEVFRbRDAQAkICqtAGwzTTPaIQBA3DAd7B5gJl6hlUorAAAAYh+VVgAAAAcwpzWyqLQCsMXj8ahDhw50DwAARAWVVgC2GIYhr9crw/h5/1wAQFW4IlZkUWkFYIvP59OqVavk8/miHQoAIAFRaQUAAHDAwUqrU3NaHRk2plFpBQAAQMyj0goAAOAA5rRGFpVWALZ4vV516dJFXq832qEAABIQlVYAtliWJZ/PJysBewMCQF3QpzWyqLQCsMXv92vdunXy+/3RDgUAkICotAIAADjAkmQ6OHaiodIKAACAmEelFYBtLhd/5wKAXcxpjSy+gQDYkpycrK5duyo5OTnaoQAAEhCVVgC2mKap8vJymaZTM7QA4OhCn9bIotIKwBa/36+NGzfSPQAAEBVUWgEAABzAnNbIImkFAABwANMDIovpAQBsMQxDKSkpMgwj2qEAABIQlVYAtni9XnXs2FFerzfaoQBAXGB6QGRRaQVgSzAY1M6dOxUMOvVjFwAA1aPSCsCWQCCgzZs3KxAIRDsUAIgLpoNzWs3EK7RSaQUAAEDso9IKAADgAOa0RhaVVgC2GIahtLQ0ugcAAKKCSisAW7xer9q1a0f3AACwKSjn+qkm4imxJK0AbAkEAtq6dasCgYA8Hk+0wwGAmOeTGZdjxyqSVgC2BINBlZaW0vIKAGrh9XqVnZ2tF0q2OLqd7OzshPr1i6QVAAAgglJSUrRp0yb5fD5Ht+P1epWSkuLoNmIJSSsAAECEpaSkJFRCWR/oHgDAFpfLpczMTLlcfGwAAOof3z4AbPF4PGrdujUnYQEAooKkFYAtfr9fxcXF8vv90Q4FAJCASFoB2GKapsrKymSaiddmBQAQfSStAAAAiHkkrQAAAIh5JK0AbHG73crKypLb7Y52KACABETSCsCWpKQk5eTkKCmJ9s4AgPpH0grAFp/Ppw0bNjh+hRcAAKpC0grAFsuytGfPHlmWFe1QAAAJiKQVAAAAMY+kFQAAADGPpBWALUlJScrNzeVELABAVJC0ArDF7XaradOmtLwCAEQFSSsAW3w+n9auXUv3AABAVJC0ArDFsiwdOHCA7gEAgKggaQUAAEDMI2kFAABAzCNpBWCLx+NRfn6+PB5PtEMBACQgklYAtrhcLqWnp8vl4mMDAFD/+PYBYEtFRYVWrlypioqKaIcCAEhAJK0AbDNNM9ohAAASFEkrAAAAYh5JKwAAAGIeSSsAWzwejzp06ED3AABAVCRFOwAA8cEwDHm9XhmGEe1QEAYrGJAsS3IncewAxDUqrQBs8fl8WrVqlXw+X7RDgQ1mxX4FdhQruG2Tgtu/UbB0o4Ll22WZwWiHBgB1QtIKAEchc9dWyf+T9mSWKWvfLgV3fieLLhAA4hBJKwAcRaxgoOYVAj6Z+36on2AAIIJIWgHgKGId2Fv7Ovt2ybKseogGACKHpBWALV6vV126dJHX6412KKiBFbAx59gyD94AII6QtAKwxbIs+Xw+KnSxzrD5sU4nAQBxhqQVgC1+v1/r1q2T3++PdiiogSsltfaVkhvKsJvcAkCM4FMLAI4mnuRaV3GnZtZDIAAQWSStAHAUCV1AwNOgqgflapIjw1vFYwAQ47giFgDbXC7+zo0XSZkt5baCMg/slSxLhscrIyVNBscQQJwiaQVgS3Jysrp27ark5Np/fkZsMLwpcntToh0GAEQEf3IDsMU0TZWXl8vkakoAgCggaQVgi9/v18aNG+keAACICpJWAAAAxDySVgAAAMS8uElay8rKdNFFFyk9PV2NGzfWZZddpr17a77G9hVXXKF27dqpQYMGat68uX7zm99o7dq19RQxcHQxDEMpKSn/a6kEAEA9ipuk9aKLLtLq1atVVFSkt99+W4sWLdLll19e43N69uypZ555RmvWrNG8efNkWZYGDhyoYDBYT1EDRw+v16uOHTvK6/VGOxQAQAKKi5ZXa9as0dy5c/Xpp5+qV69ekqRHHnlEQ4YM0f3336+WLVtW+byfJrV5eXm688471a1bN33zzTdq165dlc+pqKhQRUVF6H55ebmkgyehcAJK5B16TXltY9+BAwe0c+dOHThwINqhoAa8p+IDx8l5vLZHn7hIWpcsWaLGjRuHElZJKigokMvl0ieffKJzzjmn1jH27dunZ555Rm3btlVubm61602dOlVTpkw5bPn8+fPVsGHDuu0AalVUVBTtEFCLYDCozZs3q6ioSG63O9rhoBa8p+IDx8k5+/fvj3YIiLC4SFpLSkrUokWLSsuSkpKUmZmpkpKSGp/72GOP6cYbb9S+ffvUoUMHFRUV1fjz5oQJE1RYWBi6X15ertzcXA0cOFDp6elHtiM4jN/vV1FRkQYMGCCPxxPtcFCDvXv3atWqVerfv79SU1OjHQ6qwXsqPnCcnHfol1IcPaKatN5888269957a1xnzZo1R7SNiy66SAMGDNDWrVt1//336/zzz9fHH3+slJSqrxKTnJxc5RV/PB4PHywO4vWNfYeOD8cqPnCc4gPHyTm8rkefqCatN9xwg0aPHl3jOvn5+crOzta2bdsqLQ8EAiorK1N2dnaNz8/IyFBGRoaOPfZY/epXv1KTJk30+uuva8SIEUcaPpBQDMNQWloa3QMAAFER1aS1efPmat68ea3r9enTR7t27dKyZcvUs2dPSdL7778v0zTVu3dv29uzLEuWZVU60QqAPV6vV+3ataN7AAAgKuKi5VWnTp00ePBgjR07VkuXLtXHH3+s8ePH64ILLgh1DtiyZYs6duyopUuXSpI2btyoqVOnatmyZSouLtbixYs1bNgwNWjQQEOGDInm7gBxKRAIaOvWrQoEAtEOBQCQgOIiaZWkF154QR07dtRpp52mIUOG6KSTTtLMmTNDj/v9fq1bty50tmBKSor+9a9/aciQIWrfvr2GDx+utLQ0LV68+LCTugDULhgMqrS0lD7HAICoiIvuAZKUmZmpF198sdrH8/LyZFlW6H7Lli317rvv1kdoAAAAcFjcVFoBAACQuEhaAdjicrmUmZkpl4uPDQBA/ePbB4AtHo9HrVu3pvchACAqSFoB2OL3+1VcXMz1vAEAUUHSCsAW0zRVVlYm0zSjHQoAIAGRtAIAACDmxU3Lq2g51EarvLw8ypEcnfx+v/bv36/y8nLmSsa4vXv36sCBAyovL6faGsN4T8UHjpPzDn1v/7QdJuKbYXE0a/Tdd98pNzc32mEAAIA62Lx5s4455phoh4EIIGmthWma+v7775WWlibDMKIdzlGnvLxcubm52rx5s9LT06MdDmrAsYoPHKf4wHFynmVZ2rNnj1q2bEmrvqME0wNq4XK5+AutHqSnp/PBHSc4VvGB4xQfOE7OysjIiHYIiCD+9AAAAEDMI2kFAABAzCNpRVQlJydr0qRJSk5OjnYoqAXHKj5wnOIDxwkIHydiAQAAIOZRaQUAAEDMI2kFAABAzCNpBQAAQMwjaQUAAEDMI2lFvSsrK9NFF12k9PR0NW7cWJdddpn27t1b43NOPfVUGYZR6XbllVfWU8SJYfr06crLy1NKSop69+6tpUuX1rj+K6+8oo4dOyolJUVdunTRu+++W0+RIpxj9eyzzx723klJSanHaBPPokWLdNZZZ6lly5YyDENvvPFGrc9ZuHChTjjhBCUnJ6t9+/Z69tlnHY8TiDckrah3F110kVavXq2ioiK9/fbbWrRokS6//PJanzd27Fht3bo1dLvvvvvqIdrEMGfOHBUWFmrSpElavny5unXrpkGDBmnbtm1Vrr948WKNGDFCl112mT7//HMNHTpUQ4cO1RdffFHPkSeecI+VdPCqSz9973z77bf1GHHi2bdvn7p166bp06fbWn/Tpk0644wz1L9/f61YsULXXXedfve732nevHkORwrEGQuoR19++aUlyfr0009Dy/75z39ahmFYW7ZsqfZ5/fr1s6699tp6iDAxnXjiidbVV18duh8MBq2WLVtaU6dOrXL9888/3zrjjDMqLevdu7d1xRVXOBonwj9WzzzzjJWRkVFP0eHnJFmvv/56jevceOON1nHHHVdp2fDhw61BgwY5GBkQf6i0ol4tWbJEjRs3Vq9evULLCgoK5HK59Mknn9T43BdeeEHNmjXT8ccfrwkTJmj//v1Oh5sQfD6fli1bpoKCgtAyl8ulgoICLVmypMrnLFmypNL6kjRo0KBq10dk1OVYSdLevXvVpk0b5ebm6je/+Y1Wr15dH+HCJt5PgD1J0Q4AiaWkpEQtWrSotCwpKUmZmZkqKSmp9nkXXnih2rRpo5YtW2rlypW66aabtG7dOr322mtOh3zU27Fjh4LBoLKysiotz8rK0tq1a6t8TklJSZXr13QMceTqcqw6dOigWbNmqWvXrtq9e7fuv/9+9e3bV6tXr9YxxxxTH2GjFtW9n8rLy/Xjjz+qQYMGUYoMiC0krYiIm2++Wffee2+N66xZs6bO4/90zmuXLl2Uk5Oj0047TRs2bFC7du3qPC5wtOvTp4/69OkTut+3b1916tRJTzzxhO64444oRgYA4SFpRUTccMMNGj16dI3r5OfnKzs7+7ATRgKBgMrKypSdnW17e71795YkrV+/nqT1CDVr1kxut1ulpaWVlpeWllZ7TLKzs8NaH5FRl2P1cx6PRz169ND69eudCBF1UN37KT09nSor8BPMaUVENG/eXB07dqzx5vV61adPH+3atUvLli0LPff999+XaZqhRNSOFStWSJJycnIivSsJx+v1qmfPnlqwYEFomWmaWrBgQaUK3U/16dOn0vqSVFRUVO36iIy6HKufCwaDWrVqFe+dGML7CbAp2meCIfEMHjzY6tGjh/XJJ59YH330kXXsscdaI0aMCD3+3XffWR06dLA++eQTy7Isa/369dbtt99uffbZZ9amTZusN99808rPz7dOOeWUaO3CUWf27NlWcnKy9eyzz1pffvmldfnll1uNGze2SkpKLMuyrEsuucS6+eabQ+t//PHHVlJSknX//fdba9assSZNmmR5PB5r1apV0dqFhBHusZoyZYo1b948a8OGDdayZcusCy64wEpJSbFWr14drV046u3Zs8f6/PPPrc8//9ySZD344IPW559/bn377beWZVnWzTffbF1yySWh9Tdu3Gg1bNjQ+uMf/2itWbPGmj59uuV2u625c+dGaxeAmETSinq3c+dOa8SIEVZqaqqVnp5ujRkzxtqzZ0/o8U2bNlmSrA8++MCyLMsqLi62TjnlFCszM9NKTk622rdvb/3xj3+0du/eHaU9ODo98sgjVuvWrS2v12udeOKJ1r///e/QY/369bNGjRpVaf2XX37Z+sUvfmF5vV7ruOOOs9555516jjhxhXOsrrvuutC6WVlZ1pAhQ6zly5dHIerE8cEHH1iSDrsdOi6jRo2y+vXrd9hzunfvbnm9Xis/P9965pln6j1uINYZlmVZUSz0AgAAALViTisAAABiHkkrAAAAYh5JKwAAAGIeSSsAAABiHkkrAAAAYh5JKwAAAGIeSSsAAABiHkkrAAAAYh5JK4CEMnr0aA0dOjTaYQAAwkTSCiAmjB49WoZhyDAMeTwetW3bVjfeeKMOHDhQr3EsXLgwFIdhGMrKytJ5552njRs3RmTcXbt2RSZQAEgwJK0AYsbgwYO1detWbdy4UQ899JCeeOIJTZo0KSqxrFu3Tt9//71eeeUVrV69WmeddZaCwWCdxvL7/RGODgASD0krgJiRnJys7Oxs5ebmaujQoSooKFBRUVHocdM0NXXqVLVt21YNGjRQt27d9Oqrr4YeDwaDuuyyy0KPd+jQQX/5y1/qFEuLFi2Uk5OjU045RRMnTtSXX36p9evX69NPP9WAAQPUrFkzZWRkqF+/flq+fHml5xqGoccff1xnn322GjVqpLFjx6p///6SpCZNmsgwDI0ePbpOcQFAokqKdgAAUJUvvvhCixcvVps2bULLpk6dqr/97W+aMWOGjj32WC1atEgXX3yxmjdvrn79+sk0TR1zzDF65ZVX1LRpUy1evFiXX365cnJydP7559c5lgYNGkiSfD6f9uzZo1GjRumRRx6RZVl64IEHNGTIEH399ddKS0sLPWfy5Mm65557NG3aNLndbp199tk677zztG7dOqWnp4fGBADYQ9IKIGa8/fbbSk1NVSAQUEVFhVwulx599FFJUkVFhe6++26999576tOnjyQpPz9fH330kZ544gn169dPHo9HU6ZMCY3Xtm1bLVmyRC+//HKdk9atW7fq/vvvV6tWrdShQwd16dKl0uMzZ85U48aN9eGHH+rMM88MLb/wwgs1ZsyY0P1NmzZJOljBbdy4cZ1iAYBERtIKIGb0799fjz/+uPbt26eHHnpISUlJOu+88yRJ69ev1/79+zVgwIBKz/H5fOrRo0fo/vTp0zVr1iwVFxfrxx9/lM/nU/fu3cOO5ZhjjpFlWdq/f7+6deumv//97/J6vSotLdWf/vQnLVy4UNu2bVMwGNT+/ftVXFxc6fm9evUK/wUAAFSLpBVAzGjUqJHat28vSZo1a5a6deump59+Wpdddpn27t0rSXrnnXfUqlWrSs9LTk6WJM2ePVt/+MMf9MADD6hPnz5KS0vTn//8Z33yySdhx/Kvf/1L6enpatGiRaWf/UeNGqWdO3fqL3/5i9q0aaPk5GT16dNHPp/vsH0BAEQOSSuAmORyuXTLLbeosLBQF154oTp37qzk5GQVFxerX79+VT7n448/Vt++fTVu3LjQsg0bNtRp+23btq3yZ/yPP/5Yjz32mIYMGSJJ2rx5s3bs2FHreF6vV5Lq3IEAABId3QMAxKxhw4bJ7XZr+vTpSktL0x/+8Addf/31+utf/6oNGzZo+fLleuSRR/TXv/5VknTsscfqs88+07x58/TVV1/ptttu06effhrRmI499lg9//zzWrNmjT755BNddNFFtk6qatOmjQzD0Ntvv63t27eHKscAAHtIWgHErKSkJI0fP1733Xef9u3bpzvuuEO33Xabpk6dqk6dOmnw4MF655131LZtW0nSFVdcoXPPPVfDhw9X7969tXPnzkpV10h4+umn9cMPP+iEE07QJZdcot///vdq0aJFrc9r1aqVpkyZoptvvllZWVkaP358ROMCgKOdYVmWFe0gAAAAgJpQaQUAAEDMI2kFAABAzCNpBQAAQMwjaQUAAEDMI2kFAABAzCNpBQAAQMwjaQUAAEDMI2kFAABAzCNpBQAAQMwjaQUAAEDMI2kFAABAzPt/+tbDk2N1UNUAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 800x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "W_o = params[\"params\"][\"attn_block\"][\"final_proj\"][\"kernel\"]\n",
    "W_v = params[\"params\"][\"attn_block\"][\"value\"][\"kernel\"]\n",
    "W_oW_v = W_o @ W_v\n",
    "\n",
    "eigenvalues = jnp.linalg.eigvals(W_oW_v)\n",
    "magnitudes = jnp.abs(eigenvalues)\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "scatter = plt.scatter(\n",
    "    eigenvalues.real, eigenvalues.imag,\n",
    "    c=magnitudes, cmap='RdBu', marker='o'\n",
    ")\n",
    "plt.colorbar(scatter, label='Magnitude', shrink=0.8)\n",
    "plt.axhline(0, color='gray', linewidth=0.8, linestyle='--')\n",
    "plt.axvline(0, color='gray', linewidth=0.8, linestyle='--')\n",
    "plt.title(\"$W_{o}W_{v}$\" + f\": # of positive eigenvalues {sum(eigenvalues > 0)}/{len(eigenvalues)}\")\n",
    "plt.xlabel(\"Real Part\")\n",
    "plt.ylabel(\"Imaginary Part\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example of the task\n",
    "\n",
    "Just to show this is a simple regression task with the input $X^{10}$ and target $y$. This is not the most optimized model for the task but more to show what the target is for the model, it is only trained to guess the correct $y$ value at the end of the regression sequence."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "id": "C1ITL5UxVxJB"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "indice = 57\n",
    "for step in range(4, X_eval.shape[1]):\n",
    "    plt.clf()\n",
    "    \n",
    "    masked_X = X_eval[indice, :step, :].copy()  \n",
    "    plt.scatter(masked_X[:, 0][:step-1], masked_X[:, 1][:step-1], label='Feature', marker='o')\n",
    "\n",
    "    # Mask out the last index corresponding to the y value\n",
    "    masked_X = jnp.expand_dims(masked_X.at[-1, 1].set(0.0), 0)\n",
    "    y_hat, *_ = model.apply(params, masked_X, is_training=True)\n",
    "    y_hat = y_hat[:, -1, -1]\n",
    "    \n",
    "    plt.scatter([masked_X[0, -1, 0]], y_hat, label='Prediction', marker='x')\n",
    "    plt.scatter([masked_X[0, -1, 0]], y_eval[indice, step], label='Target', marker='x')\n",
    "    \n",
    "    # Highlight the unmasked part\n",
    "    plt.title(f'Regression Data Visualization (Step {step})')\n",
    "    plt.xlabel('$X_0$')\n",
    "    plt.ylabel('y')\n",
    "    plt.legend()\n",
    "    plt.grid(True)\n",
    "    plt.show()"
   ]
  }
 ],
 "metadata": {
  "accelerator": "GPU",
  "colab": {
   "gpuType": "T4",
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}