{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e93aae18",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:44:29.256543Z",
     "iopub.status.busy": "2026-06-19T08:44:29.256300Z",
     "iopub.status.idle": "2026-06-19T08:44:34.203782Z",
     "shell.execute_reply": "2026-06-19T08:44:34.202926Z"
    },
    "tags": [
     "remove-cell"
    ]
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "An NVIDIA GPU may be present on this machine, but a CUDA-enabled jaxlib is not installed. Falling back to cpu.\n"
     ]
    }
   ],
   "source": [
    "# Hidden setup cell (imports, deterministic seed, global dt).\n",
    "%matplotlib inline\n",
    "import brainmass\n",
    "import brainstate\n",
    "import braintools\n",
    "import brainunit as u\n",
    "import jax\n",
    "import jax.numpy as jnp\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "brainstate.random.seed(0)\n",
    "brainstate.environ.set(dt=0.1 * u.ms)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1885adeb",
   "metadata": {},
   "source": [
    "# Perceptual Decision-Making with Wong-Wang\n",
    "\n",
    "The **Wong-Wang** model (Wong & Wang, 2006) is the canonical reduced circuit for a two-choice\n",
    "perceptual decision. Two populations of neurons — one for each choice — compete through\n",
    "recurrent self-excitation and mutual inhibition. The competition makes the circuit **bistable**:\n",
    "from a symmetric resting state it commits to one of two high-activity attractors. A sensory\n",
    "**evidence** signal (motion `coherence`) biases which attractor wins, and the slow ramp of the\n",
    "synaptic gating variables `S1`/`S2` is the model's signature of **evidence accumulation**.\n",
    "\n",
    "This case study demonstrates:\n",
    "\n",
    "1. **evidence accumulation** — the gating variables ramping to a decision under noise,\n",
    "2. **bistability** — symmetric (zero-evidence) trials breaking left or right at random, and\n",
    "3. a **psychometric** sweep — choice probability vs. evidence strength.\n",
    "\n",
    "**Reference:** Wong & Wang (2006), *A recurrent network mechanism of time integration in\n",
    "perceptual decisions*, J. Neurosci. 26(4):1314-1328. The model is bundled as\n",
    "{class}`~brainmass.WongWangStep` — no external data needed.\n",
    "\n",
    ":::{note}\n",
    "{class}`~brainmass.WongWangStep` is the reduced **two-variable decision** model (states `S1`,\n",
    "`S2`; `update(coherence=...)`), distinct from {class}`~brainmass.WongWangExcInhStep`, the\n",
    "excitatory/inhibitory mean-field model used for resting-state BOLD.\n",
    ":::"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "679b5106",
   "metadata": {},
   "source": [
    "## 1. A single decision trial\n",
    "\n",
    "We drive the circuit with a constant rightward **coherence** (favoring population 1) and inject\n",
    "small current noise into each population so trials are stochastic. The firing rates `r1`, `r2`\n",
    "start together, then one wins. The whole trial is compiled into a single\n",
    "{func}`brainstate.transform.for_loop` — the brainmass idiom for running a model many steps — so\n",
    "each trial is fast and we can run dozens of them below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c294d85a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:44:34.206053Z",
     "iopub.status.busy": "2026-06-19T08:44:34.205692Z",
     "iopub.status.idle": "2026-06-19T08:44:34.549536Z",
     "shell.execute_reply": "2026-06-19T08:44:34.548871Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "coherence = +0.25 (favors pop 1)  ->  winner: population 1\n",
      "final gating: S1 = 0.763, S2 = 0.759\n"
     ]
    }
   ],
   "source": [
    "dt = 0.1 * u.ms\n",
    "\n",
    "def run_trial(coherence, *, duration=1000.0 * u.ms, sigma=0.02 * u.nA, seed=0):\n",
    "    \"\"\"Run one Wong-Wang decision trial; return time, rates (r1, r2), gating (S1, S2).\"\"\"\n",
    "    brainstate.random.seed(seed)\n",
    "    model = brainmass.WongWangStep(\n",
    "        in_size=1,\n",
    "        noise_s1=brainmass.GaussianNoise(1, sigma=sigma),\n",
    "        noise_s2=brainmass.GaussianNoise(1, sigma=sigma),\n",
    "    )\n",
    "    brainstate.nn.init_all_states(model)\n",
    "    n_steps = int(duration / dt)\n",
    "\n",
    "    def step(i):\n",
    "        r1, r2 = model.update(coherence=coherence)\n",
    "        return (u.get_magnitude(r1[0]), u.get_magnitude(r2[0]),\n",
    "                model.S1.value[0], model.S2.value[0])\n",
    "\n",
    "    with brainstate.environ.context(dt=dt):\n",
    "        r1s, r2s, s1s, s2s = brainstate.transform.for_loop(step, np.arange(n_steps))\n",
    "    ts = (np.arange(n_steps) + 1) * u.get_magnitude(dt)\n",
    "    return ts, np.asarray(r1s), np.asarray(r2s), np.asarray(s1s), np.asarray(s2s)\n",
    "\n",
    "ts, r1, r2, s1, s2 = run_trial(coherence=0.25, seed=1)\n",
    "winner = 1 if s1[-1] > s2[-1] else 2\n",
    "print(f\"coherence = +0.25 (favors pop 1)  ->  winner: population {winner}\")\n",
    "print(f\"final gating: S1 = {s1[-1]:.3f}, S2 = {s2[-1]:.3f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "94f8ed6e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:44:34.551554Z",
     "iopub.status.busy": "2026-06-19T08:44:34.551314Z",
     "iopub.status.idle": "2026-06-19T08:44:34.810961Z",
     "shell.execute_reply": "2026-06-19T08:44:34.810164Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1100x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4))\n",
    "ax1.plot(ts, r1, label='r1 (pop 1)'); ax1.plot(ts, r2, label='r2 (pop 2)')\n",
    "ax1.set_xlabel('time (ms)'); ax1.set_ylabel('firing rate (Hz)')\n",
    "ax1.set_title('Firing rates: competition'); ax1.legend(); ax1.grid(alpha=0.3)\n",
    "ax2.plot(ts, s1, label='S1'); ax2.plot(ts, s2, label='S2')\n",
    "ax2.set_xlabel('time (ms)'); ax2.set_ylabel('synaptic gating')\n",
    "ax2.set_title('Evidence accumulation (gating ramps to a decision)')\n",
    "ax2.legend(); ax2.grid(alpha=0.3)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "78527a24",
   "metadata": {},
   "source": [
    "## 2. Bistability under zero evidence\n",
    "\n",
    "With **no** evidence (`coherence = 0`) the circuit is symmetric, but noise still pushes it into\n",
    "one of the two attractors — and *which* one varies trial to trial. Running several zero-coherence\n",
    "trials with different noise seeds shows the spontaneous left/right split that is the hallmark of\n",
    "a bistable decision circuit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "43dd7d2b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:44:34.812985Z",
     "iopub.status.busy": "2026-06-19T08:44:34.812764Z",
     "iopub.status.idle": "2026-06-19T08:44:37.235513Z",
     "shell.execute_reply": "2026-06-19T08:44:37.234494Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "per-trial choices (zero coherence): [1, 2, 2, 2, 2, 2, 2, 1]\n"
     ]
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9, 4))\n",
    "n_trials = 8\n",
    "choices = []\n",
    "for seed in range(n_trials):\n",
    "    t, _, _, s1_t, s2_t = run_trial(coherence=0.0, seed=seed)\n",
    "    choice = 1 if s1_t[-1] > s2_t[-1] else 2\n",
    "    choices.append(choice)\n",
    "    color = 'tab:blue' if choice == 1 else 'tab:red'\n",
    "    ax.plot(t, s1_t - s2_t, color=color, alpha=0.7)\n",
    "ax.axhline(0, color='grey', lw=1)\n",
    "ax.set_xlabel('time (ms)'); ax.set_ylabel('S1 - S2  (decision variable)')\n",
    "ax.set_title(f'Zero-evidence bistability: {choices.count(1)} chose pop 1, '\n",
    "             f'{choices.count(2)} chose pop 2')\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "print(\"per-trial choices (zero coherence):\", choices)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7c01dfa4",
   "metadata": {},
   "source": [
    "## 3. Psychometric curve\n",
    "\n",
    "Sweeping the evidence strength and measuring how often population 1 wins traces a\n",
    "**psychometric curve**: chance (50%) at zero coherence, rising toward certainty as the evidence\n",
    "grows. We average several noisy trials per coherence level."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ef6ea5ae",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:44:37.237428Z",
     "iopub.status.busy": "2026-06-19T08:44:37.237258Z",
     "iopub.status.idle": "2026-06-19T08:45:02.198685Z",
     "shell.execute_reply": "2026-06-19T08:45:02.197484Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "coherence = -0.50  ->  P(choose pop 1) = 0.00\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "coherence = -0.25  ->  P(choose pop 1) = 0.00\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "coherence = -0.10  ->  P(choose pop 1) = 0.08\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "coherence = +0.00  ->  P(choose pop 1) = 0.50\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "coherence = +0.10  ->  P(choose pop 1) = 0.92\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "coherence = +0.25  ->  P(choose pop 1) = 1.00\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "coherence = +0.50  ->  P(choose pop 1) = 1.00\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAoAAAAGGCAYAAADrfDCjAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAZGtJREFUeJzt3Xd4k+X+BvA7Sdt0t+kupbRsKVDKLJSlUEVUFGcFlQooDgSkcBRUQEUFFwcHinBE8edBQI/gYAllI0ugUFaZpS10pSvdbZLn90dtJHSQlCRvx/25rl6XeeedYfjmed73eWRCCAEiIiIiajHkUgcgIiIiIttiAUhERETUwrAAJCIiImphWAASERERtTAsAImIiIhaGBaARERERC0MC0AiIiKiFoYFIBEREVELwwKQiIiIqIVhAUhETVJoaCjuu+8+qWPYzM6dOyGTybBz506poxBRM8ACkIjq9e2330Imkxn+HB0d0alTJ7z00kvIzMyUOl6TtGrVKixevFjqGETUgtlJHYCImoa3334bbdu2RVlZGfbu3Ysvv/wSGzduxMmTJ+Hs7Cx1vCZl1apVOHnyJF5++WWT9xkyZAhKS0vh4OBgvWBE1GKwACQik4wcORJ9+vQBADzzzDPw9vbGokWL8Msvv2DMmDESp2u+ysrK4ODgALlcDkdHR6njmKykpIQ/DIgaMXYBE1GDDBs2DABw+fJlAEBGRgbGjx+P1q1bQ6lUIjAwEA888ACSk5MBALGxsfDx8UFlZWWNY911113o3Lmz0bLvv/8e/fr1g7OzM1QqFYYMGYI//vijxr579+5Fv3794OjoiHbt2uG7776rsc2lS5fw6KOPwsvLC87Ozujfvz82bNhgtE31NXZr167FW2+9haCgILi5ueGRRx5BQUEBysvL8fLLL8PPzw+urq4YP348ysvLa5zr+++/R+/eveHk5AQvLy88/vjjSE1NNay//fbbsWHDBly5csXQrR4aGmqUYfXq1XjjjTcQFBQEZ2dnaDSaOq8BPHjwIO655x6oVCq4uLggPDwcn3zySY1cN8rPz8f06dMRGhoKpVKJ1q1bY9y4cVCr1QD+6fqvfv9ufJ2uz3H77bejW7duOHLkCIYMGQJnZ2e89tpruO+++9CuXbtazz9gwADDDwpTXzsishy2ABJRg1y8eBEA4O3tDQB4+OGHcerUKUyZMgWhoaHIysrC1q1bkZKSgtDQUDz11FP47rvvsGXLFqObNzIyMrB9+3bMmzfPsOytt97Cm2++iaioKLz99ttwcHDAwYMHsX37dtx1112G7S5cuIBHHnkEEydORGxsLFasWIGnn34avXv3RteuXQEAmZmZiIqKQklJCaZOnQpvb2+sXLkS999/P3766Sc8+OCDRs9rwYIFcHJywqxZs3DhwgV89tlnsLe3h1wuR15eHt58800cOHAA3377Ldq2bYu5c+ca9n333XcxZ84cPPbYY3jmmWeQnZ2Nzz77DEOGDMGxY8fg6emJ119/HQUFBUhLS8O///1vAICrq6tRhvnz58PBwQEzZ85EeXl5nd2+W7duxX333YfAwEBMmzYNAQEBOHPmDH7//XdMmzatzveuqKgIgwcPxpkzZzBhwgT06tULarUav/76K9LS0uDj41P3G1+HnJwcjBw5Eo8//jiefPJJ+Pv7o3fv3hg3bhwOHz6Mvn37Gra9cuUKDhw4gA8//NCs146ILEgQEdXjm2++EQDEtm3bRHZ2tkhNTRWrV68W3t7ewsnJSaSlpYm8vDwBQHz44Yd1Hken04nWrVuLmJgYo+WLFi0SMplMXLp0SQghxPnz54VcLhcPPvig0Ol0Rtvq9XrDf4eEhAgAYvfu3YZlWVlZQqlUihkzZhiWvfzyywKA2LNnj2FZYWGhaNu2rQgNDTWcY8eOHQKA6Natm6ioqDBsO2bMGCGTycTIkSONsgwYMECEhIQYHicnJwuFQiHeffddo+0SExOFnZ2d0fJ7773XaN9q1RnatWsnSkpKal23Y8cOIYQQWq1WtG3bVoSEhIi8vLw6X6fazJ07VwAQP//8c4111ftWv++XL1+uN4cQQgwdOlQAEEuXLjXatqCgoMb7IYQQH3zwgZDJZOLKlStCCPNeOyKyDHYBE5FJoqOj4evri+DgYDz++ONwdXXFunXrEBQUBCcnJzg4OGDnzp3Iy8urdX+5XI4nnngCv/76KwoLCw3L//vf/yIqKgpt27YFAKxfvx56vR5z586FXG78FSWTyYweh4WFYfDgwYbHvr6+6Ny5My5dumRYtnHjRvTr1w+DBg0yLHN1dcWkSZOQnJyM06dPGx1z3LhxsLe3NzyOjIyEEAITJkww2i4yMhKpqanQarUAgJ9//hl6vR6PPfYY1Gq14S8gIAAdO3bEjh076n5xbxAbGwsnJ6d6tzl27BguX76Ml19+uUbr2I2v043+97//oUePHjVaP03Zty5KpRLjx483Wubu7o6RI0di7dq1EEIYlq9Zswb9+/dHmzZtAFj2tSMi07AAJCKTLFmyBFu3bsWOHTtw+vRpXLp0CSNGjABQ9Y//+++/j02bNsHf3x9DhgzBBx98gIyMDKNjjBs3DqWlpVi3bh0AICkpCUeOHMFTTz1l2ObixYuQy+UICwu7aabqAuJ6KpXKqAi9cuVKjesLAaBLly6G9fUd08PDAwAQHBxcY7ler0dBQQEA4Pz58xBCoGPHjvD19TX6O3PmDLKysm76fKpVF8P1qe6C79atm8nHvX7fhuxXn6CgoFq7qmNiYpCamor9+/cbzn3kyBHExMQYtrHka0dEpuE1gERkkn79+tW4aP96L7/8MkaNGoX169djy5YtmDNnDhYsWIDt27ejZ8+eAKpa7Hr37o3vv/8e48aNw/fffw8HBwc89thjDcqkUChqXX59a5Oljnmzc+n1eshkMmzatKnWbW+8zq8+N2v9s4W6WgJ1Ol2ty+vKPGrUKDg7O2Pt2rWIiorC2rVrIZfL8eijjxq2seRrR0SmYQFIRBbTvn17zJgxAzNmzMD58+cRERGBjz/+GN9//71hm3HjxiEuLg7p6elYtWoV7r33XqhUKqNj6PV6nD59GhEREbecKSQkBElJSTWWnz171rDeEtq3bw8hBNq2bYtOnTrVu21Du1lvPB8AnDx5EtHR0Wbve/LkyXq3qX5P8vPzjZbf2GJ6My4uLrjvvvvw448/YtGiRVizZg0GDx6MVq1aGeUx9bUjIstgFzAR3bKSkhKUlZUZLWvfvj3c3NxqDJUyZswYyGQyTJs2DZcuXcKTTz5ptH706NGQy+V4++23odfrjdY1pGXvnnvuwaFDhwxdkABQXFyMZcuWITQ01KSuZlM89NBDUCgUeOutt2rkFEIgJyfH8NjFxcXQddxQvXr1Qtu2bbF48eIaRdrNXqeHH34Yx48fN3TF17ZvdYG5e/duwzqdTodly5aZnTUmJgbXrl3Df/7zHxw/ftyo+xcw77UjIstgCyAR3bJz585h+PDheOyxxxAWFgY7OzusW7cOmZmZePzxx4229fX1xd13340ff/wRnp6euPfee43Wd+jQAa+//jrmz5+PwYMH46GHHoJSqcThw4fRqlUrLFiwwKxss2bNwg8//ICRI0di6tSp8PLywsqVK3H58mX873//q3GjSUO1b98e77zzDmbPno3k5GSMHj0abm5uuHz5MtatW4dJkyZh5syZAIDevXtjzZo1iIuLQ9++feHq6opRo0aZdT65XI4vv/wSo0aNQkREBMaPH4/AwECcPXsWp06dwpYtW+rc91//+hd++uknPProo5gwYQJ69+6N3Nxc/Prrr1i6dCl69OiBrl27on///pg9ezZyc3Ph5eWF1atXG256Mcc999wDNzc3zJw5EwqFAg8//HCDXzsishAJ7jwmoiakejiQw4cP17mNWq0WkydPFrfddptwcXERHh4eIjIyUqxdu7bW7deuXSsAiEmTJtV5zBUrVoiePXsKpVIpVCqVGDp0qNi6dathfUhIiLj33ntr7Dd06FAxdOhQo2UXL14UjzzyiPD09BSOjo6iX79+4vfffzfapnp4kx9//NGk5z9v3jwBQGRnZxst/9///icGDRokXFxchIuLi7jtttvE5MmTRVJSkmGboqIiMXbsWOHp6SkAGIaEqSvD9euuH35FCCH27t0r7rzzTuHm5iZcXFxEeHi4+Oyzz2rsf6OcnBzx0ksviaCgIOHg4CBat24tYmNjhVqtNnrdoqOjhVKpFP7+/uK1114TW7durXUYmK5du9Z7vieeeEIAENHR0XVuY8prR0SWIRPiFq6WJiJqgF9++QWjR4/G7t27jYZxISIi22ABSEQ2d9999+HMmTO4cOGCRW6IICIi8/AaQCKymdWrV+PEiRPYsGEDPvnkExZ/REQSYQsgEdmMTCaDq6srYmJisHTpUtjZ8TcoEZEU+O1LRDbD35tERI0DxwEkIiIiamFYABIRERG1MC2uC1iv1+PatWtwc3PjBehERETUbAghUFhYiFatWt10kPsWVwBeu3YNwcHBUscgIiIisorU1FS0bt263m1aXAHo5uYGoOrFcXd3lzgNERERkWVoNBoEBwcbap36tLgCsLrb193dnQUgEVldbm4utmzZghEjRsDLy0vqOETUAphyiRtvAiEiIiJqYVpcCyARkS15eXlhzJgxUscgIjLCFkAiIisSQkCv13MQbCJqVFgAEhFZUUZGBubPn4+MjAypoxARGbAAJCKyIg8PDzzwwAPw8PCQOgoRkQGvASQisiJnZ2dERERIHYOIyAgLQCIiKyotLcWlS5fQrl07ODk5SR2HbEyvF0g/n49iTTlc3JUI7OgJuZyzULUkjfUzIGkBuHv3bnz44Yc4cuQI0tPTsW7dOowePbrefXbu3Im4uDicOnUKwcHBeOONN/D000/bJC8Rkbny8/Px008/YdKkSSwAW5iLx7KwZ815FOeXG5a5eCoxOKYj2vf0kzAZ2Upj/gxIeg1gcXExevTogSVLlpi0/eXLl3HvvffijjvuQEJCAl5++WU888wz2LJli5WTEhE1jL+/P2bNmgV/f3+po5ANXTyWhc1fnTT6hx8AivPLsfmrk7h4LEuiZGQrjf0zIGkL4MiRIzFy5EiTt1+6dCnatm2Ljz/+GADQpUsX7N27F//+978xYsQIa8UkImowuVwOpVIpdQyyIb1eYM+a8/Vus3ftebTt4dsougLJ8prCZ6BJXQO4f/9+REdHGy0bMWIEXn755Tr3KS8vR3n5P9W3RqOxVjwiohry8vKwfft2DBs2DCqVSuo4ZAPp5/NrtPrcqCivHN/O2gs7e4WNUpEtaSt1KNVU1rtNUV450s/nI6izNN8LTaoAzMjIqNGN4u/vD41Gg9LS0lqvr1mwYAHeeustW0UkIjKi1+tRXFwMvV4vdRSysooyLdLO5OH49lSTtq8qEOovEqh5K9bU/0PBmppUAdgQs2fPRlxcnOGxRqNBcHCwhImIqCXx9vbGuHHjpI5BVqJRlyI5MQfJiWpcPZcHvdb0GV+GjOkEvzbuVkxHUslK0WD3D+duup2Lu3SXhzSpAjAgIACZmZlGyzIzM+Hu7l7n3XVKpZLX3xARkUXodXpkXNbgSqIayYk5yL1WbLTe3dcJod28ce5wJsqK6m7dc1Up0XVwEK8BbKZ8Q9xwZNOVei8FcFVVDQkjlSZVAA4YMAAbN240WrZ161YMGDBAokRERPVLT0/H119/jYkTJyIwMFDqONQAZcWVSD2di+RENa6cykF5sdawTiaXIbC9B0K7+yA03Bue/s6QyWRo1ckTm786WecxBz3WkcVfMyaXyzA4pmOj/gxIWgAWFRXhwoULhseXL19GQkICvLy80KZNG8yePRtXr17Fd999BwB4/vnn8fnnn+OVV17BhAkTsH37dqxduxYbNmyQ6ikQEdXL3d0dd911F9zd2dXXVAghkJ9ZguTEHFxJVOPahQII/T9du0pnO4R080Zodx8Eh3nB0cW+xjHa9/TD3c91qzEGnKtKiUGPST8GHFlfY/8MyIQQpl+wYGE7d+7EHXfcUWN5bGwsvv32Wzz99NNITk7Gzp07jfaZPn06Tp8+jdatW2POnDlmDQSt0Wjg4eGBgoICfiETEREAQKfV49qFfFw5UXU9X0F2qdF6VaALQrtXFX0B7dwhV5g2jG5jnQWCbMeWnwFzahxJC0ApsAAkIlsqKytDSkoK2rRpA0dHR6nj0HVKCytw5WRVwZdyOheVZTrDOrmdDEGdVAjt7o2Qbj7w8OUsLtT4mVPjNKlrAImImpq8vDz88MMPmDRpEq8BlJgQAjlXi6uu5UtUI+OyBriuCcTJ3QGhf3fttu6igoMj/4mk5ostgEREVqTT6VBSUgJnZ2coFBz019a0FTqkJeXhyt9DtRTlGd+V6RPsWnUDR3cf+IW4QcbuWWrC2AJIRNRIKBQKuLm5SR2jRSnOL0fy38O0pJ3Nhbbin0G47ezlaN3F6++uXW+4qtgtTy0TC0AiIivKz8/H7t27MWTIEHh6ekodp1kSeoGslMK/u3ZzkJ1SaLTeVaVESHcfhHb3RuvOKtg5sCWWiAUgEZEVabVaZGdnQ6vV3nxjMln1tGvJiWokn8xBqabin5UywD/U3TA2n3eQK2Qydu0SXY/XABIRUZNQPe3alUQ10m6Yds3eUYE2YV4I7e6DNl294ezuIGFSImnwGkAiImrybjrtmo8jQsOrbuBo1dETCjvTxuYjIhaARERWlZGRgZUrVyI2NhYBAQFSx2n0yksqkVI97dpJ06ZdIyLzsQAkIrIiV1dXDBo0CK6urlJHaZRMmXatTVdvtA2ve9o1IjIfC0AiIitydXXFwIEDpY7RqFhr2jUiMh0LQCIiKyovL0d6ejoCAwOhVCqljiOZ0sIKXDmVg+QTOUg9nYOK66ddU8gQ1JnTrhHZEgtAIiIrys3NxcqVK5v8VHDmTmh/02nX3OwNY/MFd/HitGtENsb/44iIrMjX1xdTpkxp0sNOXTyWhT1rzqM4/59p1Fw8lRgc0xHte/oZlmkrdbialI/kE2pOu0bUyLEAJCKyIjs7O3h5eUkdo8EuHsvC5q9O1lhenF+OzV+dxB1P3gYhRK3Trins5Qi+TYXQcB9Ou0bUyLAAJCKyooKCAvz555+IioqCh4eH1HHMotcL7Flzvt5tdnx/1ujx9dOuBXVWwZ7TrhE1SiwAiYisqKKiAsnJyejTp4/UUcyWfj7fqNu3LqoAZ3TqF8Bp14iaEBaARERW5OvrixdeeEHqGA1SrLl58QcAfe4NRae+HOSaqCnh4EpERFQrF3fThq0xdTsiajxYABIRWVFmZiYWLVqEzMxMqaOYLbCjJ1w86y/uXFVVQ8IQUdPCApCIyIqcnZ3Rq1cvODs7Sx3FbHK5DINjOta7zaDHOtY7HiARNU68BpCIyIrc3Nxw++23Sx2jwdr39INPa1eo04qMlruqlBj0mPE4gETUdLAAJCKyooqKCmRnZ8PX1xcODg5SxzFbztUiQ/EXPSEMMhlMmgmEiBo3dgETEVlRTk4O/vOf/yAnJ0fqKA2SEJ8KAGjf0xed+wWgU98ABHVWsfgjauLYAkhEZEU+Pj54/vnnm+RsIMUF5Th3KAMAEHFnG4nTEJElsQAkIrIie3t7+Pv7Sx2jQU7uugq9ViCgnTsC2jWtWUyIqH7sAiYisiKNRoNt27ZBo9FIHcUslRU6nNx1FQAQEc3WP6LmhgUgEZEVlZWV4fTp0ygrK5M6ilmS9qejrLgS7j6OaBvhK3UcIrIwdgETEVmRn58fpk6dKnUMswi9MNz8ET4smDd8EDVDbAEkIiIjyYlqFGSVQulshy5RgVLHISIrYAFIRGRFWVlZ+Pzzz5GVlSV1FJMlbKtq/es6uBUcHNlRRNQcsQAkIrIiR0dHdOrUCY6OjlJHMUnWFQ2unc+HXC5D99uDpY5DRFbCn3ZERFbk7u6Ou+66S+oYJkvYmgIA6NDXD64qpcRpiMha2AJIRGRFlZWVyMrKQmVlpdRRbqowtwwXjmYD4NAvRM0dC0AiIitSq9X48ssvoVarpY5yUye2p0LoBYI6q+Ab7CZ1HCKyIhaARERW5O3tjQkTJsDb21vqKPWqKNXi9N5rAICIaF77R9Tc8RpAIiIrcnBwQHBw4y+oTu+7hooyHVQBzgjp2riLVSK6dWwBJCKyosLCQuzevRuFhYVSR6mTXqfH8e1VQ7/0GB4MGQd+Jmr2WAASEVlRSUkJDh8+jJKSEqmj1Oni0WwU5ZbDyc0enfsHSB2HiGyAXcBERFbk7++PGTNmSB2jTkIIJGyrGvql29DWsLNXSJyIiGyBLYBERC1Y+oUCZF0phMJeju5Dg6SOQ0Q2wgKQiMiKsrOz8dVXXyE7O1vqKLWqbv3r3D8ATm4OEqchIlthAUhEZEUODg5o3bo1HBwaX3GVn1mCyyeqxieMGN7471QmIsvhNYBERFbk4eGBe++9V+oYtToenwoIIKS7N1QBLlLHISIbYgsgEZEVabVa5OfnQ6vVSh3FSFlRJc7uTwfAad+IWiLJC8AlS5YgNDQUjo6OiIyMxKFDh+rdfvHixejcuTOcnJwQHByM6dOno6yszEZpiYjMk52djU8++aTRXQN4cvdVaCv18Al2RVAnT6njEJGNSVoArlmzBnFxcZg3bx6OHj2KHj16YMSIEcjKyqp1+1WrVmHWrFmYN28ezpw5g6+//hpr1qzBa6+9ZuPkRESm8fLywlNPPQUvLy+poxjoKvVI3JkGoKr1TybjwM9ELY2kBeCiRYvw7LPPYvz48QgLC8PSpUvh7OyMFStW1Lr9n3/+iYEDB2Ls2LEIDQ3FXXfdhTFjxty01ZCISCpKpRLt2rWDUqmUOorBucMZKNFUwMVTiQ59/KSOQ0QSkKwArKiowJEjRxAdHf1PGLkc0dHR2L9/f637REVF4ciRI4aC79KlS9i4cSPuuecem2QmIjJXUVER9u/fj6KiIqmjAKge+Llq2rfwO1pDoZD8SiAikoBkdwGr1WrodDr4+/sbLff398fZs2dr3Wfs2LFQq9UYNGgQhBDQarV4/vnn6+0CLi8vR3l5ueGxRqOxzBMgIjJBUVERdu7cibZt28LV1VXqOEg9k4vca8WwVyrQdXArqeMQkUSa1E+/nTt34r333sMXX3yBo0eP4ueff8aGDRswf/78OvdZsGABPDw8DH/BwRzriohsJyAgALNnz0ZAQOOYY7e69a/LwEAone0lTkNEUpGsBdDHxwcKhQKZmZlGyzMzM+v8opwzZw6eeuopPPPMMwCA7t27o7i4GJMmTcLrr78OubxmPTt79mzExcUZHms0GhaBRNQi5VwtQurpXMhkQI9h/B4kaskkawF0cHBA7969ER8fb1im1+sRHx+PAQMG1LpPSUlJjSJPoaiauFwIUes+SqUS7u7uRn9ERLaiVquxYsUKqNVqqaMYpn1r19MX7j5OEqchIilJOhNIXFwcYmNj0adPH/Tr1w+LFy9GcXExxo8fDwAYN24cgoKCsGDBAgDAqFGjsGjRIvTs2RORkZG4cOEC5syZg1GjRhkKQSKixsTOzg5eXl6ws5N24qXignKcO1TV48KBn4lI0m+kmJgYZGdnY+7cucjIyEBERAQ2b95suDEkJSXFqMXvjTfegEwmwxtvvIGrV6/C19cXo0aNwrvvvivVUyAiqpenpydGjx4tdQwk7kyDXicQ0M4DAe08pI5DRBKTibr6TmuRn5+PdevWYc+ePbhy5QpKSkrg6+uLnj17YsSIEYiKirJmVovQaDTw8PBAQUEBu4OJyOp0Oh3Kysrg6OgoWU9FZbkOK1/bh/JiLe5+rhva9+TYf0TNkTk1jknXAF67dg3PPPMMAgMD8c4776C0tBQREREYPnw4WrdujR07duDOO+9EWFgY1qxZY5EnQUTUHGRlZeGjjz6qc4YjWzi7Px3lxVq4+ziibQ9fyXIQUeNhUhdwz549ERsbiyNHjiAsLKzWbUpLS7F+/XosXrwYqampmDlzpkWDEhE1RSqVCo8//jhUKpUk59frBY7HVw390mN4MORyTvtGRCZ2Aefk5MDb29vkg5q7vS2xC5iIWpJLCdnYtDQRSmc7jHsvCg6O0t6MQkTWY/EuYHOLucZa/BER2VpxcTH++usvFBcXS3L+6qFfug4OYvFHRAYWGwcwLy8P3333naUOR0TULGg0GmzcuFGSaSgzkzVIv1AAuUKG8Dta2/z8RNR4WawATElJMYzfR0REVQIDAzF37lwEBgba/NzVrX8d+/jDxVNp8/MTUeNlcn/AzX69FhYW3nIYIiKyDE1OKS4ezQYARNzJad+IyJjJBaCnpydksrrvHhNC1LueiKglysnJwaZNmzBy5EibXh99YkcahF6g9W0q+LR2s9l5iahpMLkAdHNzw+uvv47IyMha158/fx7PPfecxYIRETUHcrkcSqWyxjzm1lReqsXpvdcAcNo3IqqdyQVgr169AABDhw6tdb2npyfMmFSEiKhFUKlUePTRR216ztN7r6GyTAdVoAvadPWy6bmJqGkw+Sfp2LFj4ejoWOf6gIAAzJs3zyKhiIiaC71ej4qKCuj1epucT6fT48T2qoGfI4YH89IcIqqVWXMBNwccCJqIbCk9PR3Lli3DpEmTbHIn8LnDGdj69Wk4udlj3HtRsLOXZv5hIrI9iw8ETUREDePp6YmHHnoInp6eVj+XEALHt1W1/nW/vTWLPyKqE4eFJyKyIicnJ3Tv3t0m50q/kI+sK4VQ2MvRbUiQTc5JRE0TWwCJiKyotLQUJ06cQGlpqdXPdWxrVevfbf0D4OTmYPXzEVHTxQKQiMiK8vPzsW7dOuTn51v3PJklSE5UAwB6DOfAz0RUP3YBExFZUUBAAF5//XUoFNa9Hi8hPhUQQGh3b6gCXKx6LiJq+hpUAOr1ely4cAFZWVk1hjYYMmSIRYIRETUHMpkMdnbW/a1dWlSBpP3pADjwMxGZxuxvpQMHDmDs2LG4cuVKjYGfZTIZdDqdxcIRETV1eXl5+OOPP3DXXXdBpVJZ5Ryndl+FtlIP3zZuaNXJ0yrnIKLmxewC8Pnnn0efPn2wYcMGBAYGcpBRIqJ6CCGg0+msNlOStlKHEzuvAgAiojnwMxGZxuwC8Pz58/jpp5/QoUMHa+QhImpWvLy8MHbsWKsd/9yhTJRqKuCqUqJ9bz+rnYeImhez7wKOjIzEhQsXrJGFiIjMIITA8fi/B36+ozUUCg7sQESmMbsFcMqUKZgxYwYyMjLQvXt32NvbG60PDw+3WDgioqbOmlPBpZ7ORe61YtgrFeg6qJVFj01EzZvZBeDDDz8MAJgwYYJhmUwmgxCCN4EQEd3Aw8MDo0aNgoeHh8WPnbAtBQAQNrAVlM72N9maiOgfZheAly9ftkYOIqJmydnZGb169bL4cdVpRUg9kweZDAgf1trixyei5s3sAjAkJMQaOYiImqXS0lIkJycjNDQUTk5OFjvu8b9b/9r19IO7j+WOS0QtQ4OuGL548SKmTJmC6OhoREdHY+rUqbh48aKlsxERNXn5+flYu3atRaeCK84vx7nDmQCAiDs57RsRmc/sAnDLli0ICwvDoUOHEB4ejvDwcBw8eBBdu3bF1q1brZGRiKjJ8vf3xyuvvAJ/f3+LHTNxZxr0OoHA9h4IaGv5awuJqPkzuwt41qxZmD59OhYuXFhj+auvvoo777zTYuGIiJo6uVxu0a7fynIdTu6uHviZ074RUcOY3QJ45swZTJw4scbyCRMm4PTp0xYJRUTUXOTl5eHnn39GXl6eRY53dn86yku0cPd1QmgPH4sck4haHrMLQF9fXyQkJNRYnpCQAD8/jkJPRHQ9vV4PjUYDvV5vgWMJJPw98HOPYcGQyzntGxE1jNldwM8++ywmTZqES5cuISoqCgCwb98+vP/++4iLi7N4QCKipszb2xtPP/20RY6VfFwNTXYplM526BJl2UGliahlMbsAnDNnDtzc3PDxxx9j9uzZAIBWrVrhzTffxNSpUy0ekIiIqiTEVw390nVIEOyVConTEFFTZnYXsEwmw/Tp05GWloaCggIUFBQgLS0N06ZNg0zG7ggioutlZGTgvffeQ0ZGxi0dJ/OyBukXCiBXyBB+Owd+JqJbY3YL4PXc3NwslYOIqFlyc3PD8OHDb/n7snrat059/eHiqbRENCJqwUwqAHv16oX4+HioVCr07Nmz3pa+o0ePWiwcEVFT5+LigsjIyFs6hkZdiotHswAAPaI58DMR3TqTCsAHHngASqXS8N/s6iUiMk15eTlSU1MRHBxs+B4114ntaRACaH2bCj6t2fNCRLdOJoQQUoewJY1GAw8PDxQUFMDd3V3qOETUzKWnp2PZsmWYNGkSAgPNv3O3vFSLlbP2obJch/um9EBIV28rpCSi5sCcGsfsm0DatWuHnJycGsvz8/PRrl07cw9HRNSs+fn5Yfr06Q0eJ/X0nmuoLNfBq5UL2oR5WTgdEbVUZt8EkpycDJ1OV2N5eXk50tLSLBKKiKi5UCgUDe5t0On0OLHj74Gfhwfz8hsishiTC8Bff/3V8N9btmyBh8c/E5DrdDrEx8ejbdu2lk1HRNTEFRQUYPfu3RgyZIjR96YpLh7JQlFeOZzc7NGpn7+VEhJRS2RyATh69GgAVeMAxsbGGq2zt7dHaGgoPv74Y4uGIyJq6iorK5GRkYHKykqz9hNCIGFbVetf99tbw86eAz8TkeWYXABWz2PZtm1bHD58GD4+nISciOhmfHx88Oyzz5q937Xz+chOKYSdvRzdhgZZIRkRtWRmXwN4+fJla+QgIqLrVLf+dR4QCCdXB4nTEFFzY/ZdwABQXFyMjRs3YunSpfj000+N/sy1ZMkShIaGwtHREZGRkTh06FC92+fn52Py5MkIDAyEUqlEp06dsHHjxoY8DSIiq8vMzMSHH36IzMxMk/fJyyhG8gk1ACBiOAd+JiLLM7sF8NixY7jnnntQUlKC4uJieHl5Qa1Ww9nZGX5+fpg6darJx1qzZg3i4uKwdOlSREZGYvHixRgxYgSSkpJqHTKhoqICd955J/z8/PDTTz8hKCgIV65cgaenp7lPg4jIJlxcXNC/f3+4uLiYvM/x+KrWv9BwH3j6O1srGhG1YGa3AE6fPh2jRo1CXl4enJyccODAAVy5cgW9e/fGRx99ZNaxFi1ahGeffRbjx49HWFgYli5dCmdnZ6xYsaLW7VesWIHc3FysX78eAwcORGhoKIYOHYoePXqY+zSIiGzC1dUVgwcPhqurq0nblxZW4OyBDABABKd9IyIrMbsATEhIwIwZMyCXy6FQKFBeXo7g4GB88MEHeO2110w+TkVFBY4cOYLo6Oh/wsjliI6Oxv79+2vd59dff8WAAQMwefJk+Pv7o1u3bnjvvfdqHZeQiKgxqKioQEpKCioqKkza/uTuq9BV6uHbxg2tOnpaNxwRtVhmF4D29vaQy6t28/PzQ0pKCgDAw8MDqampJh9HrVZDp9PB3994bCt/f39kZGTUus+lS5fw008/QafTYePGjZgzZw4+/vhjvPPOO3Wep7y8HBqNxuiPiMhWcnJy8M0339Q6g9KNtJU6JO6sGlA/4k4O/ExE1mP2NYA9e/bE4cOH0bFjRwwdOhRz586FWq3G//3f/6Fbt27WyGig1+vh5+eHZcuWQaFQoHfv3rh69So+/PBDzJs3r9Z9FixYgLfeesuquYiI6uLr64vJkyebdK3yuUOZKC2shKtKifa9GjZ1HBGRKcxuAXzvvfcME5q/++67UKlUeOGFF5CdnY1ly5aZfBwfHx8oFIoad8ZlZmYiICCg1n0CAwPRqVMnKBT/DIjapUsXZGRk1Nm9Mnv2bBQUFBj+zGmlJCK6VXZ2dvDx8YGdXf2/t68f+Dn8jmAoFA0apIGIyCRmf8P06dMHd9xxB4CqLuDNmzdDo9HgyJEjZt2M4eDggN69eyM+Pt6wTK/XIz4+HgMGDKh1n4EDB+LChQuGQakB4Ny5cwgMDISDQ+3jZCmVSri7uxv9ERHZikajwZYtW256+UnKqVzkpRfD3lGBsMGtbJSOiFoqSX9ixsXFYfny5Vi5ciXOnDmDF154AcXFxRg/fjwAYNy4cZg9e7Zh+xdeeAG5ubmYNm0azp07hw0bNuC9997D5MmTpXoKRET1Ki8vx8WLF1FeXl7vdgnbqq6nDhvYCkons6/OISIyi0nfMj179jT5YuSjR4+afPKYmBhkZ2dj7ty5yMjIQEREBDZv3my4MSQlJcVwwwkABAcHY8uWLZg+fTrCw8MRFBSEadOm4dVXXzX5nEREtuTr64sXX3yx3m3UaYVIO5sHmVyG8GGtbZSMiFoykwrA0aNHWy3ASy+9hJdeeqnWdTt37qyxbMCAAThw4IDV8hAR2Vr1tX/te/nC3dtJ4jRE1BKYVADWdYctERHVLysrC6tWrcLYsWNrneGoOL8c5w9X3QwXMbyNreMRUQvF28yIiKzIyckJ4eHhcHKqvWXvxI406HUCgR084N+WN6kRkW2YfaWxXC6v93pAzspBRPQPNzc3DBs2rNZ1FWVanNpzFQAQEc3WPyKyHbMLwHXr1hk9rqysxLFjx7By5UoOuExEdIPKykqo1Wr4+PjA3t7eaN3Z/RkoL9HCw9cJoeE+EiUkopbI7ALwgQceqLHskUceQdeuXbFmzRpMnDjRIsGIiJoDtVqNZcuWYdKkSYZB9AFArxc4Hl819EuP4cGQyzntGxHZjsWuAezfv7/RoM5ERFQ169GkSZPg42Pcwnf5eDY06jIone1w24DAOvYmIrIOi4w2Wlpaik8//RRBQUGWOBwRUbNhb29v1PJXLWFr1dAv3YYEwV6pqLGeiMiazC4AVSqV0U0gQggUFhbC2dkZ33//vUXDERE1dYWFhTh8+DD69u0LNzc3AEDGpQJkXCqA3E6G7ndw4Gcisj2zC8DFixcbPZbL5fD19UVkZCRUKpWlchERNQulpaU4ceIEunXrZigAqwd+7tTXHy4eSinjEVELZXYBGBsba40cRETNkp+fH15++WXDY426FJeOZQHg0C9EJJ0GXQOYl5eHr7/+GmfOnAEAhIWFYfz48fDy8rJoOCKi5ub49lQIAQR3UcE7yFXqOETUQpl9F/Du3bsRGhqKTz/9FHl5ecjLy8Onn36Ktm3bYvfu3dbISETUZGVnZ+OLL75AdnY2yksqcWZfOgC2/hGRtMxuAZw8eTJiYmLw5ZdfQqGounNNp9PhxRdfxOTJk5GYmGjxkERETZVSqUT79u2hVCpxau81VJbr4NXKBcFh7DEhIumY3QJ44cIFzJgxw1D8AYBCoUBcXBwuXLhg0XBERE2du7s7RowYARcXVyTuSAMAREQH1zulJhGRtZldAPbq1ctw7d/1zpw5gx49elgkFBFRc6HVaqFWq5F08BqK8srh5O6ATn0DpI5FRC2c2V3AU6dOxbRp03DhwgX0798fAHDgwAEsWbIECxcuxIkTJwzbhoeHWy4pEVETlJ2djWXLliFUEQVAgfDbg6Cwt9gkTEREDSITQghzdpDL6//ikslkEEJAJpNBp9PdUjhr0Gg08PDwQEFBAdzd3aWOQ0TNXEVFBU4cOo8D/70Gezt7xC4YCEdXe6ljEVEzZE6NY3YL4OXLlxscjIioJdHrBbIvF+PirmLIhAKd+wew+COiRsHsAjAkJMQaOYiImpWLx7KwZ815FGoKUeaUCUe5Py4fVyM4LAvte/pJHY+IWrgGXYhy8eJFTJkyBdHR0YiOjsbUqVNx8eJFS2cjImqSLh7LwuavTqI4vxx6eSVKXdKgl1eiRFOBzV+dxMW/ZwIhIpKK2QXgli1bEBYWhkOHDiE8PBzh4eE4ePAgunbtiq1bt1ojIxFRk6HXC+xZc97w2E7rAu+sAbDTuhiW7V17Hnq9WZdfExFZlNk3gfTs2RMjRozAwoULjZbPmjULf/zxB44ePWrRgJZWfYFkUlKSYWJ2AHB0dIRKpYJWq0V2dnaN/QIDAwEAarUalZWVRus8PT3h5OSE4uJiaDQao3UODg7w9vaGXq9HZmZmjeP6+flBoVAgNzcX5eXlRuvc3Nzg6uqK0tJS5OfnG62zs7ODr68vACA9Pb3GcX18fGBvb4/8/HyUlpYarXNxcYG7uzvKy8uRm5trtE4ul8Pf3x8AkJmZCb1eb7Tey8sLSqUSGo0GxcXFRuucnJzg6emJyspKqNXqGpmqX8Ps7GxotVqjddWvYVFREQoLC43WKZVKeHl5QafTISurZsuJv78/5HI5cnJyUFFRYbTO3d0dLi4utb6G9vb28PHxAVD7a+jr6ws7Ozvk5eWhrKzMaJ2rqyvc3NxqfQ0VCgX8/Kq6+Gp7Db29veHg4FDra+js7AwPD49aX0OZTIaAgKrhQ2p7DVUqFRwdHWt9Das/33W9hgEBAZDJZLW+hh4eHnB2dkZJSQkKCgqM1lV/voUQyMjIqHHc6s93ba9h9ee7rKwMeXl5Ruuu/3xnZGTgxq+p6s93QUEBSkpKjNZVf74rKiqQk5NjtO76z3dWVlaNG9WqP9+FhYUoKioyWmfqd8Spw5ewbeVJ4/PqlJALe+jlFdDLq17f25/oDL9Qd35HXIffEVX4HVGluX5HWLOOUKvV6Ny5s3VuAjlz5gzWrl1bY/mECROwePFicw8nmW+++QaOjo6Gx927d8dDDz0EjUaDZcuW1dh+3rx5AIBffvkFaWlpRusefPBBhIeH49SpU9i0aZPRuvbt2+PJJ59EZWVlrcedOXMmXFxcsGXLFpw7d85o3V133YUBAwbg0qVL+Omnn4zWBQQE4LnnngMAfP311zU+pC+88AL8/Pywe/duHDt2zGjdwIEDER0djfT0dKxcudJonZubG+Li4gAA//3vf2t8ScTGxiI0NBSHDh3Cvn37jNb17NkT999/P/Ly8mo8V4VCgTfeeAMA8PPPP9f4InjkkUfQtWtXJCYm4o8//jBa16lTJ4wZMwZlZWW1voazZs2CUqnEpk2balyKMHLkSPTr1w/nz5/HunXrjNa1bt0aEydOBIBajztlyhR4eXlhx44dNWa4GTp0KG6//Xakpqbiv//9r9E6lUqFqVOnAgC+++67Gl8+EyZMQHBwMPbv348DBw4YrevTpw/uvfdeqNXqGpkcHBwwe/ZsAMCPP/5Y4wvm8ccfR+fOnXHs2DFs377daF1YWBgeffRRFBcX1/pcX3/9ddjZ2eG3337DlStXjNaNGjUKvXr1wtmzZ/Hbb78ZrQsJCcHTTz8NnU5X63GnT58Od3d3bNu2DadPnzZaN2zYMAwePBhXrlzB6tWrjdb5+vrixRdfBFD1/+qN/+BMmjQJgYGB2Lt3L/766y+jdf3798eIESOQmZmJFStWGK1zdnbGv/71LwDA6tWra/yj8sQTT6BDhw44cuQIdu3aZbTO1O+IHX9uQb6v8T+gcq0j3HO7olKZj2KPqs/o+j+q/r/kd0QVfkf8g98RVZrrd4Q164jrh+K7GbNbAIODg7Fo0SI8+uijRsvXrl2LmTNnIiUlxZzD2RxbAPnrvhp/3f+Dv+6rWKMFUC+vQLlTNpwLQyCDnC2A/I7gd8R1WuJ3RGNpATS7AHz77bfx73//G7NmzUJUVBQAYN++fXj//fcRFxeHOXPmmHM4m+M4gERkTXq9wHev/Yni/PI6t3FVKfHUu1GQyzkdHBFZjlXHAZwzZw7c3Nzw8ccfG5qaW7VqhTfffNPQpE1E1FLJ5TJ07h+Ao5uruskE9NDLKyHX20P29313gx7ryOKPiCRldgvg9aqbkK/vSm3s2AJIRNa2/t/HcDUpD/ZKBUp1Bcj3PQbP7J7wdPPGoMc6chxAIrIKq7YAVsvKykJSUhIA4LbbbjP0xRMRtWTZqYW4mpQHmVyGmDn9kJtRgJSUQLRpE4yQMH+2/BFRo2B2AVhYWIgXX3wRP/zwg+HCVYVCgZiYGCxZsgQeHh4WD0lE1FQc35YKAOjQyxcePk7w8HFC224BEqciIjJm9kDQzzzzDA4ePIgNGzYgPz8f+fn5+P333/HXX38ZhhwgImqJivLKcf5w1V16PaLbAACKi4tx8ODBGndzEhFJyewWwN9//x1btmzBoEGDDMtGjBiB5cuX4+6777ZoOCKipiRxZyr0eoHADh7wD626/qawsBDx8fEICQmBi4vLTY5ARGQbZheA3t7etXbzenh4QKVSWSQUEVFTU1Gmxak91wAAEX+3/gFV46e99tprUsUiIqqV2V3Ab7zxBuLi4owGdMzIyMC//vWvRj8GIBGRtZzdn47yEi08/JzQNtxH6jhERPUyuwXwyy+/xIULF9CmTRu0aVP1KzclJQVKpRLZ2dn46quvDNs29nmBiYgsQa8XOB5fdfNHxPBgyK670zcnJwe//fYbRo0aBW9vb6kiEhEZMbsAHD16tBViEBE1XZcTsqFRl0HpYofOAwKN1snlcri7u0MuN7vDhYjIaswuAKsnMyYioioJ26rmQO82JAj2DgqjdSqVCg899JAUsYiI6sSfpEREtyDjUgEyLmkgt5Oh++2ta6zX6/UoLS01jJtKRNQYsAAkIroF1a1/nfoFwMVDWWN9ZmYmPvjgA2RmZto6GhFRnVgAEhE1kEZdikvHsgFU3fxRG09PTzz22GPw9PS0YTIiovo1eC5gIqKW7nh8KoQAgsO84B3kWus2Tk5O6NKli42TERHVr8EtgBUVFUhKSoJWq7VkHiKiJqGsuBKn/0wHAERE1976BwAlJSU4evQoSkpKbBWNiOimzC4AS0pKMHHiRDg7O6Nr165ISam6/mXKlClYuHChxQMSETVGp/deg7ZcB+8gFwR38apzu4KCAvz2228oKCiwYToiovqZXQDOnj0bx48fx86dO+Ho6GhYHh0djTVr1lg0HBFRY6TT6nFiRxoAoMfwNpDJZHVuGxgYiHnz5iEwMLDObYiIbM3sawDXr1+PNWvWoH///kZfel27dsXFixctGo6IqDG6cCQLxfnlcHZ3QKe+/lLHISIym9ktgNnZ2fDz86uxvLi4uN5fwUREzYEQwjD0S/fbW0NhX//XaG5uLlatWoXc3FxbxCMiMonZBWCfPn2wYcMGw+Pqou8///kPBgwY0KAQS5YsQWhoKBwdHREZGYlDhw6ZtN/q1ashk8k4PR0R2czVpDyoU4tgZy9HtyFBN91eJpNBoVDwBzIRNSpmdwG/9957GDlyJE6fPg2tVotPPvkEp0+fxp9//oldu3aZHWDNmjWIi4vD0qVLERkZicWLF2PEiBFISkqqtaWxWnJyMmbOnInBgwebfU4iooZKiE8FANwWFQhHV/ubbq9SqRATE2PtWEREZjG7BXDQoEFISEiAVqtF9+7d8ccff8DPzw/79+9H7969zQ6waNEiPPvssxg/fjzCwsKwdOlSODs7Y8WKFXXuo9Pp8MQTT+Ctt95Cu3btzD4nEVFD5KYX40piDiADetQx8PONhBDQarUQQlg5HRGR6Ro0EHT79u2xfPnyWz55RUUFjhw5gtmzZxuWyeVyREdHY//+/XXu9/bbb8PPzw8TJ07Enj176j1HeXk5ysvLDY81Gs0t5yailun4361/bcN94OnnbNI+GRkZWLZsGSZNmsQ7gYmo0TC7BfDo0aNITEw0PP7ll18wevRovPbaa6ioqDDrWGq1GjqdDv7+xnfR+fv7IyMjo9Z99u7di6+//trkAnTBggXw8PAw/AUHm/arnYjoeiWaCiQdqPpeiohuY/J+np6eePDBBzkVHBE1KmYXgM899xzOnTsHALh06RJiYmLg7OyMH3/8Ea+88orFA16vsLAQTz31FJYvXw4fHx+T9pk9ezYKCgoMf6mpqVbNSETN08ldadBp9fALcUNgBw+T93NyckJ4eDicnJysmI6IyDxmdwGfO3cOERERAIAff/wRQ4cOxapVq7Bv3z48/vjjWLx4scnH8vHxgUKhQGZmptHyzMxMBAQE1Nj+4sWLSE5OxqhRowzL9Hp91ROxs0NSUhLat29vtI9SqYRSqTQ5ExHRjbQVOpzcfRUAEHFn/QM/36i0tBQXLlxAhw4dWAQSUaNhdgugEMJQdG3btg333HMPACA4OBhqtdqsYzk4OKB3796Ij483LNPr9YiPj691SJnbbrsNiYmJSEhIMPzdf//9uOOOO5CQkMDuXSKyiqSDGSgtrISblyPa9/Q1a9/8/Hz8/PPPyM/Pt044IqIGMLsFsE+fPnjnnXcQHR2NXbt24csvvwQAXL58uca1fKaIi4tDbGws+vTpg379+mHx4sUoLi7G+PHjAQDjxo1DUFAQFixYAEdHR3Tr1s1o/+rram5cTkRkCUIvDDd/hA9rDbnCvN/N/v7+mD17NuzsGnTPHRGRVZj9jbR48WI88cQTWL9+PV5//XV06NABAPDTTz8hKirK7AAxMTHIzs7G3LlzkZGRgYiICGzevNlQTKakpEAuN7uhkojIIq6cykFeRgkcHBUIG9jK7P3lcjkcHByskIyIqOFkwkKDU5WVlUGhUMDe/uYDo0pJo9HAw8MDBQUFcHd3lzoOETVy6/99DFeT8hARHYyBj3Q0e/+8vDxs27YN0dHRUKlUVkhIRFTFnBqnwX0SR44cwZkzZwAAYWFh6NWrV0MPRUTUKGWnFuJqUh5kchnChzXsGmO9Xo/y8nLDtdNERI2B2QVgVlYWYmJisGvXLsP1d/n5+bjjjjuwevVq+Pqad4E0EVFjlbAtBQDQobcf3LwcG3QMb29vPPnkk5aMRUR0y8y+uG7KlCkoKirCqVOnkJubi9zcXJw8eRIajQZTp061RkYiIpsryivDhcNZAICIaI4wQETNi9kF4ObNm/HFF1+gS5cuhmVhYWFYsmQJNm3aZNFwRERSObEjDXq9QKuOnvALafj1wunp6Xj77beRnp5uwXRERLfG7AJQr9fXeqOHvb09r3EhomahokyLU3uuAbj11j93d3fcc889vOmMiBoVswvAYcOGYdq0abh27Zph2dWrVzF9+nQMHz7couGIiKRw5s90VJRq4envjNDupk07WRcXFxf06dMHLi4uFkpHRHTrzC4AP//8c2g0GoSGhqJ9+/Zo37492rZtC41Gg88++8waGYmIbEavFzixvWrg5x7DgyGTmz7tW23KysqQlJSEsrIyS8QjIrIIs+8CDg4OxtGjR7Ft2zacPXsWANClSxdER0dbPBwRka1dOpYNjboMji726Ny/5pzk5srLy8Pq1asxadIkBAYGWiAhEdGts9hA0E0FB4Imovr89P5fyLysQZ97QhF5f7tbPp5Op0NZWRkcHR2hUCgskJCIqHbm1DgNmmNt165dGDVqFDp06IAOHTrg/vvvx549exoUloiosci4VIDMyxrI7WToNjTIIsdUKBRwcXFh8UdEjYrZBeD333+P6OhoODs7Y+rUqZg6dSocHR0xfPhwrFq1yhoZiYhsImFr1cDPnfsFwMVDaZFj5ufnY/369cjPz7fI8YiILMHsawDfffddfPDBB5g+fbph2dSpU7Fo0SLMnz8fY8eOtWhAIiJbKMguxaWEbABADwsO/KzVapGbmwutVmuxYxIR3SqzWwAvXbqEUaNG1Vh+//334/LlyxYJRURka8e3p0IIoE2YF7xbuVrsuD4+PpgwYQJ8fG5tOBkiIksyuwAMDg5GfHx8jeXbtm1DcDCnSyKipqesuBJn/qyaqSMiuo3EaYiIrM/sLuAZM2Zg6tSpSEhIQFRUFABg3759+Pbbb/HJJ59YPCARkbWd3nsN2nIdvINc0bqLyqLHzsjIwDfffIPx48cjIODWh5UhIrIEswvAF154AQEBAfj444+xdu1aAFXjAK5ZswYPPPCAxQMSEVmTTqs3DPwcER0MmezWBn6+kaurK26//Xa4ulquW5mI6FaZXQACwIMPPogHH3zQ0lmIiGzuwl+ZKC6ogLOHAzr29bf48V1dXTFgwACLH5eI6FY0qAAEgIqKCmRlZUGv1xstb9OG188QUdMghMCxbVWtf91vbw2FXYOGRq1XeXk5rl69iqCgICiVlhlahojoVpn9bXf+/HkMHjwYTk5OCAkJQdu2bdG2bVuEhoaibdu21shIRGQVV5PykJNWBDsHOboNsczAzzfKzc3F//3f/yE3N9cqxyciagizWwCffvpp2NnZ4ffff0dgYKDFr5chIrKVhL9b/7oMCISji71VzuHr64tp06bxGkAialTMLgATEhJw5MgR3HbbbdbIQ0RkE7npxbhyMgeQAeHDrTeElZ2dHTw9Pa12fCKihjC7CzgsLAxqtdoaWYiIbOb4tqpp39r18IWnn7PVzlNQUIANGzagoKDAaucgIjKXSQWgRqMx/L3//vt45ZVXsHPnTuTk5Bit02g01s5LRHTLSjQVSDqYCcCy077VpqKiAmlpaaioqLDqeYiIzGFSF7Cnp6fRtX5CCAwfPtxoGyEEZDIZdDqdZRMSEVnYyV1p0Gn18At1R2B7D6uey9fXF88995xVz0FEZC6TCsAdO3ZYOwcRkU1oK3RI3HUVgHUGfiYiagpMKgCHDh1q7RxERDaRdDADZUWVcPNyRPuevlY/X2ZmJr7//ns8+eST8Pe3/EDTREQNYfZNIN988w1+/PHHGst//PFHrFy50iKhiIisQeiFYeiXHsODIVdYfuDnGzk7O6Nv375wdrbejSZEROYy+9tvwYIF8PHxqbHcz88P7733nkVCERFZw5WTOcjPLIGDowJdogJtck43NzcMGTIEbm5uNjkfEZEpzC4AU1JSap3xIyQkBCkpKRYJRURkDQnxVd9RYYOD4ODU4JkwzVJRUYHU1FTeBUxEjYrZBaCfnx9OnDhRY/nx48fh7e1tkVBERJaWnVKIq0n5kMtlCL+jtc3Om5OTgxUrViAnJ8dm5yQiuhmzfwKPGTMGU6dONXRrAMCuXbswbdo0PP744xYPSERkCQl/D/zcvrcf3LwcbXZeHx8fvPDCC1CpVDY7JxHRzZhdAM6fPx/JyckYPnw47Oyqdtfr9Rg3bhyvASSiRqkorwwX/soCUDX0iy3Z29vDz8/PpuckIroZswtABwcHrFmzBu+88w4SEhLg5OSE7t27IyQkxBr5iIhu2YkdadDrBVp19IRfiLtNz63RaHDgwAH0798f7u62PTcRUV0afBV0x44d0bFjR0tmISKyuIoyLU7tuQYAiLizjc3PX1ZWhnPnziEiIoIFIBE1GibdBLJw4UKUlpaadMCDBw9iw4YNtxSKiMhSzuxLR0WpFp7+zgjtZvsb1fz8/PDSSy+xG5iIGhWTCsDTp0+jTZs2ePHFF7Fp0yZkZ2cb1mm1Wpw4cQJffPEFoqKiEBMTw/GuiKhR0Ov0OL79n4GfZXJO+0ZEBJhYAH733XfYtm0bKisrMXbsWAQEBMDBwQFubm5QKpXo2bMnVqxYgXHjxuHs2bOGu4OJiKR0KUGNwpwyOLrY47b+AZJkyMrKwqeffoqsrCxJzk9EVBuTrwHs0aMHli9fjq+++grHjx9HSkoKSktL4ePjg4iIiFpnByEiklL10C/dhgbBzkEhSQZHR0eEhYXB0dF2Q88QEd2M2TeByOVy9OzZEz179rRGHiIii0i/WIDMyxoo7OTofrvtBn6+kbu7O6KjoyU7PxFRbUyeCUSn0+H999/HwIED0bdvX8yaNcvkG0OIiGytuvWvU6Q/nN0dJMtRWVmJzMxMVFZWSpaBiOhGJheA7733Hl577TW4uroiKCgIn3zyCSZPnmzNbEREDVKQXYJLCVU3q0UMt/3QL9dTq9VYunQp1Gq1pDmIiK5ncgH43Xff4YsvvsCWLVuwfv16/Pbbb/jvf/8LvV5vzXxERGY7Hp8GCKBNV294tXKRNIu3tzeeeeYZzpVORI2KyQVgSkoK7rnnHsPj6OhoyGQyXLt2zSrBiIgaoqy4Emf+/HvgZxtP+1YbBwcHBAUFwcFBum5oIqIbmVwAarXaGnex2dvb87oWImpUTu25Cm2FHt5Brmh9m0rqOCgsLMTOnTtRWFgodRQiIgOTC0AhBJ5++mk89NBDhr+ysjI8//zzRssaYsmSJQgNDYWjoyMiIyNx6NChOrddvnw5Bg8eDJVKBZVKhejo6Hq3J6KWQ6fVI3FHGgAg4s5gyGTSD/xcUlKCo0ePoqSkROooREQGJheAsbGx8PPzg4eHh+HvySefRKtWrYyWmWvNmjWIi4vDvHnzcPToUfTo0QMjRoyoc9DUnTt3YsyYMdixYwf279+P4OBg3HXXXbh69arZ5yai5uX8X5koLqiAi4cDOvbxlzoOAMDf3x9xcXHw928ceYiIAEAmhBBSBoiMjETfvn3x+eefAwD0ej2Cg4MxZcoUzJo166b763Q6qFQqfP755xg3btxNt9doNPDw8EBBQQEnZidqRoQQWPPOYeRcLUL/0e3Q++5QqSMREdmUOTWOyS2A1lBRUYEjR44YDZIql8sRHR2N/fv3m3SMkpISVFZWwsvLy1oxiagJSEvKQ87VItg5yNF1cJDUcQyys7Px5ZdfGs2hTkQkNbNnArEktVoNnU5Xo2vE398fZ8+eNekYr776Klq1alXnSPvl5eUoLy83PNZoNA0PTESNVsLWVABAl6hWcHSxlzjNPxwcHBAaGsq7gImoUZG0BfBWLVy4EKtXr8a6devqnGdzwYIFRtcoBgdLPywEEVlW7rVipJzKAWRAj+HSTftWGw8PD4wcObJB10gTEVmLpAWgj48PFAoFMjMzjZZnZmYiICCg3n0/+ugjLFy4EH/88QfCw8Pr3G727NkoKCgw/KWmplokOxE1HgnxVdO+tYvwhYevs8RpjGm1WuTm5kKr1UodhYjIQNIC0MHBAb1790Z8fLxhmV6vR3x8PAYMGFDnfh988AHmz5+PzZs3o0+fPvWeQ6lUwt3d3eiPiJqPEk0Fzh2s+hEZMbzxtfBnZ2fjs88+4zWARNSoSHoNIADExcUhNjYWffr0Qb9+/bB48WIUFxdj/PjxAIBx48YhKCgICxYsAAC8//77mDt3LlatWoXQ0FBkZGQAAFxdXeHq6irZ8yAiaSTuSoNOq4d/W3cEtG983axeXl6IjY3ljWpE1KhIXgDGxMQgOzsbc+fORUZGBiIiIrB582bDjSEpKSmQy/9pqPzyyy9RUVGBRx55xOg48+bNw5tvvmnL6EQkMW2FDid3VY0BGhHdplEM/HwjpVKJ0NBQqWMQERmRfBxAW+M4gETNx8ndV7FrVRLcvB3x5Nv9IVc0vvvaioqKcPz4cfTo0YO9FERkVU1mHEAiooYSeoHj8VU3dfUYFtwoiz+gqgDcu3cvioqKpI5CRGQgeRcwEVFDXDmZg/zMEjg42aHLwECp49QpICAAr776qtQxiIiMNM6fzEREN5GwrWrol66DWsHBkb9liYjMwQKQiJqc7JRCXD2XD7lchvBhjWvg5xup1Wp8/fXXUKvVUkchIjJgAUhETc6xrVWtfx36+MFVVfssQI2FnZ0dfH19YWfHVkoiajz4jURETUphbhkuHMkCUDX0S2Pn6emJ+++/X+oYRERG2AJIRE1K4o40CL1AUCdP+LZxkzrOTel0OhQWFkKn00kdhYjIgAUgETUZFWVanNp7DUDTaP0DgKysLCxatAhZWVlSRyEiMmABSERNxpl96ago1cLT3xkh3byljmMSlUqFMWPGQKVSSR2FiMiA1wASUZOg1+kNAz9HRAdDJm98077VxtHREZ06dZI6BhGREbYAElGTcClBjcLcMji62qNzZIDUcUxWXFyMQ4cOobi4WOooREQGLACJqNETQhgGfu42NAh2DgqJE5lOo9Hgjz/+gEajkToKEZEBu4CJqNHLuFiAzMsaKOzk6D60cQ/8fKPAwEC88cYbUscgIjLCFkAiavQStlVd+9c50h/O7g4SpyEiavpYABJRo5afVYJLx7MBAD2ayNAv18vJycF3332HnJwcqaMQERmwACSiRu3E9jRAACHdvOEV6CJ1HLPJ5XK4uLhALufXLRE1HrwGkIgarbLiSpz5s2rg5x7RwRKnaRiVSoWHH35Y6hhEREb4k5SIGq1Te65CW6GHd2tXtO7cNAdS1uv1KC8vh16vlzoKEZEBC0AiapR0Wj1O7EgDAPSMDoZM1jQGfr5RZmYmFi5ciMzMTKmjEBEZsAAkokbp/OFMlBRUwMXDAR36+Esdp8E8PT3xyCOPwNPTU+ooREQGvAaQiBqdqoGfq4Z+CR8WDIVd0/2t6uTkhK5du0odg4jICAtAImo09HqB9PP5SDmTi5yrRVA4yBE2qJXUsW5JSUkJzp07h06dOsHZ2VnqOEREAFgAElEjcfFYFvasOY/i/HLDMrlMhqvn8tC+p5+EyW5NQUEBfvnlF0yaNIkFIBE1GjIhhJA6hC1pNBp4eHigoKAA7u7uUschIlQVf5u/Olnn+ruf69Zki0AhBIQQkMlkTfZGFiJqGsypcZruhTVE1Czo9QJ71pyvd5u9a89Dr2+av1VlMhnkcjmLPyJqVFgAEpGkriblGnX71qYorxzp5/NtE8jCcnNz8cMPPyA3N1fqKEREBrwGkIhsrqy4Eimnc5B8IgeX/57n92aKNfUXiUREZDoWgERkdUII5GWUIDlRjSuJOUi/WABhZpeui7vSSumsy8vLC2PGjJE6BhGRERaARGQVOq0e187nIzlRjeQTamjUZUbrvVq5ILS7D0K6euGPFafr7QZ2VSkR2NHTyomtgzeBEFFjxAKQiCymRFOBKydzcCVRjZQzuags0xnWye1kaN1JhdBwH4R084a7j5Nh3eCYjvXeBTzosY6Qy5tm8ZSRkYFly5Zh0qRJCAwMlDoOEREAFoBEdAuEEFCnFeFKohrJiTnITNYA1/XsOrs7IKS7N0K7+6D1bSo4ONb+ldO+px/ufq5bjXEAXVVKDHqsY5MdAgYAPDw88MADD8DDw0PqKEREBhwHkIjMoq3QIS0pD8mJVS19RXnGXbe+bdwQ2t0boeE+8A12g8yMlrvqmUCKNeVwca/q9m2qLX9ERLZmTo3DFkAiuqmivDJDwZd2Ng/aSr1hnZ29HK27eCG0uzdCuvnAVdXwmzXkchmCOqssEbnRKC0txaVLl9CuXTs4OTndfAciIhtgAUhENQi9QNaVwqobOBLVUKcWGa13VSkRGu6D0O4+COrkCTsHhURJG7/8/Hz89NNPmDRpEgtAImo02AVMRACAijItUs/kGlr6Sgsr/1kpAwLauhuKPq9WLryj1UR6vR6VlZWwt7eHXM6x94nIetgFTEQmKcgu/XtsPjWunsuHXvfP70EHRwWCw7wRGu6NkK7ecHJzkDBp0yWXy6FUNs0xDImo+WIBSNSC6HV6ZFzS/N21m4O89GKj9R6+Tn+38nkjsIMnFHZssbpVeXl52L59O4YNGwaVqnld30hETRcLQKJm7vpp11JO5aC8RGtYJ5PL0KqDB0K6VxV9qgAXCZM2T3q9HsXFxdDr9TffmIjIRlgAEjUzN5t2Telih5BuVWPztQnzgtLZXsK0zZ+3tzfGjRsndQwiIiMsAImaAdOmXfNGSHcfBLR1h1zBrl0iopaMBSBRE2XKtGvVXbvXT7tGtpWeno6vv/4aEydO5FRwRNRosAAkaiJuNu2ak7sDQrtVzcBR37RrZFvu7u646667OOwUETUq/BeCqBEzZdq16rl2/dqYN+0a2YaLiwv69esndQwiIiMsAIkaGVtNu0a2UVZWhpSUFLRp0waOjo5SxyEiAtBICsAlS5bgww8/REZGBnr06IHPPvus3l/MP/74I+bMmYPk5GR07NgR77//Pu655x4bJq4fJ7Qncz4DJk271t0HId290bqzitOuNTF5eXn44YcfMGnSJF4DSESNhuQF4Jo1axAXF4elS5ciMjISixcvxogRI5CUlAQ/P78a2//5558YM2YMFixYgPvuuw+rVq3C6NGjcfToUXTr1k2CZ2Ds4rEs7FlzHsX5/3TVuXgqMTimI9r3rPl8qPkx5TNgyrRrVTdw+MA7iNOuNWV+fn6Ii4uDs7Oz1FGIiAwknws4MjISffv2xeeffw6gatDU4OBgTJkyBbNmzaqxfUxMDIqLi/H7778blvXv3x8RERFYunTpTc9nzbmALx7LwuavTta5/u7nurEIbOZu9hm4LSoQxXllNaZds3dUoE2YV1VLXzdOu0ZEROZrMnMBV1RU4MiRI5g9e7ZhmVwuR3R0NPbv31/rPvv370dcXJzRshEjRmD9+vXWjHpTer3AnjXn691m9w/n4OnvzO7gZkqvF9j9w7l6tzn7Z7rhv919ndC2uw9Cwr3RitOuNVv5+fnYvXs3hgwZAk9PT6njEBEBkLgAVKvV0Ol08Pf3N1ru7++Ps2fP1rpPRkZGrdtnZGTUun15eTnKy//pitNoNLeYunbp5/ONuvxqU6KpwOq3D1nl/NR0dB3cCj2GB8PT35lduy2AVqtFdnY2tFrtzTcmIrIRya8BtLYFCxbgrbfesvp5ijX1F3/V7BzkbOlppnRaPbQVN5/vtVUnT86524L4+Phg4sSJUscgIjIiaQHo4+MDhUKBzMxMo+WZmZkICAiodZ+AgACztp89e7ZRl7FGo0FwcPAtJq/Jxd204Tjum9wDQZ1VFj8/Se9qUh7W//vYTbcz9bNCRERkLZI2RTk4OKB3796Ij483LNPr9YiPj8eAAQNq3WfAgAFG2wPA1q1b69xeqVTC3d3d6M8aAjt6wsWz/n/YXVVVw4FQ88TPANUmIyMD77//fp2XqRARSUHyvsi4uDgsX74cK1euxJkzZ/DCCy+guLgY48ePBwCMGzfO6CaRadOmYfPmzfj4449x9uxZvPnmm/jrr7/w0ksvSfUUAAByuQyDYzrWu82gxzryBpBmjJ8Bqo2rqysGDRoEV1dXqaMQERlIfg1gTEwMsrOzMXfuXGRkZCAiIgKbN2823OiRkpICufyfOjUqKgqrVq3CG2+8gddeew0dO3bE+vXrG8UYgO17+uHu57rVGAPOVaXEoMc4DmBLwM8A3cjV1RUDBw6UOgYRkRHJxwG0NWuOA1iNM4EQPwNUrby8HOnp6QgMDIRSyes/ich6msw4gM2VXC7jjR4tHD8DVC03NxcrV67kVHBE1KiwACQisiJfX19MmTLFaj0OREQNwQKQiMiK7Ozs4OXlJXUMIiIjkt8FTETUnBUUFGDTpk0oKCiQOgoRkQELQCIiK6qoqEBycjIqKiqkjkJEZMC7gImIiIiaAXNqHLYAEhEREbUwLe4mkOoGT41GI3ESImoJsrKysHbtWjz22GPw8+NA4ERkPdW1jSmduy2uCzgtLQ3BwcFSxyAiIiKyitTUVLRu3brebVpcAajX63Ht2jW4ublBJuPMDKbSaDQIDg5Gamoqr51sZPjeNG58fxovvjeNF9+bhhFCoLCwEK1atTKaRrc2La4LWC6X37Qqprq5u7vzf8ZGiu9N48b3p/Hie9N48b0xn4eHh0nb8SYQIiIiohaGBSARERFRC8MCkEyiVCoxb948KJVKqaPQDfjeNG58fxovvjeNF98b62txN4EQERERtXRsASQiIiJqYVgAEhEREbUwLACJiIiIWhgWgFSn3NxcPPHEE3B3d4enpycmTpyIoqIik/YVQmDkyJGQyWRYv369dYO2QOa+N7m5uZgyZQo6d+4MJycntGnTBlOnTkVBQYENUzdfS5YsQWhoKBwdHREZGYlDhw7Vu/2PP/6I2267DY6OjujevTs2btxoo6QtjznvzfLlyzF48GCoVCqoVCpER0ff9L2khjP3/5tqq1evhkwmw+jRo60bsJljAUh1euKJJ3Dq1Cls3boVv//+O3bv3o1JkyaZtO/ixYs504oVmfveXLt2DdeuXcNHH32EkydP4ttvv8XmzZsxceJEG6ZuntasWYO4uDjMmzcPR48eRY8ePTBixAhkZWXVuv2ff/6JMWPGYOLEiTh27BhGjx6N0aNH4+TJkzZO3vyZ+97s3LkTY8aMwY4dO7B//34EBwfjrrvuwtWrV22cvPkz972plpycjJkzZ2Lw4ME2StqMCaJanD59WgAQhw8fNizbtGmTkMlk4urVq/Xue+zYMREUFCTS09MFALFu3Torp21ZbuW9ud7atWuFg4ODqKystEbMFqNfv35i8uTJhsc6nU60atVKLFiwoNbtH3vsMXHvvfcaLYuMjBTPPfecVXO2ROa+NzfSarXCzc1NrFy50loRW6yGvDdarVZERUWJ//znPyI2NlY88MADNkjafLEFkGq1f/9+eHp6ok+fPoZl0dHRkMvlOHjwYJ37lZSUYOzYsViyZAkCAgJsEbXFaeh7c6OCggK4u7vDzq7FzQhpMRUVFThy5Aiio6MNy+RyOaKjo7F///5a99m/f7/R9gAwYsSIOrenhmnIe3OjkpISVFZWwsvLy1oxW6SGvjdvv/02/Pz82HNhIfzmp1plZGTAz8/PaJmdnR28vLyQkZFR537Tp09HVFQUHnjgAWtHbLEa+t5cT61WY/78+SZ36VPt1Go1dDod/P39jZb7+/vj7Nmzte6TkZFR6/amvndkmoa8Nzd69dVX0apVqxoFO92ahrw3e/fuxddff42EhAQbJGwZ2ALYwsyaNQsymazeP1O/HG/066+/Yvv27Vi8eLFlQ7cQ1nxvrqfRaHDvvfciLCwMb7755q0HJ2qGFi5ciNWrV2PdunVwdHSUOk6LVlhYiKeeegrLly+Hj4+P1HGaDbYAtjAzZszA008/Xe827dq1Q0BAQI2LcbVaLXJzc+vs2t2+fTsuXrwIT09Po+UPP/wwBg8ejJ07d95C8ubPmu9NtcLCQtx9991wc3PDunXrYG9vf6uxWzQfHx8oFApkZmYaLc/MzKzzvQgICDBre2qYhrw31T766CMsXLgQ27ZtQ3h4uDVjtkjmvjcXL15EcnIyRo0aZVim1+sBVPV+JCUloX379tYN3RxJfREiNU7VNxr89ddfhmVbtmyp90aD9PR0kZiYaPQHQHzyySfi0qVLtore7DXkvRFCiIKCAtG/f38xdOhQUVxcbIuoLUK/fv3ESy+9ZHis0+lEUFBQvTeB3HfffUbLBgwYwJtArMDc90YIId5//33h7u4u9u/fb4uILZY5701paWmNf1seeOABMWzYMJGYmCjKy8ttGb3ZYAFIdbr77rtFz549xcGDB8XevXtFx44dxZgxYwzr09LSROfOncXBgwfrPAZ4F7BVmPveFBQUiMjISNG9e3dx4cIFkZ6ebvjTarVSPY1mYfXq1UKpVIpvv/1WnD59WkyaNEl4enqKjIwMIYQQTz31lJg1a5Zh+3379gk7Ozvx0UcfiTNnzoh58+YJe3t7kZiYKNVTaLbMfW8WLlwoHBwcxE8//WT0/0hhYaFUT6HZMve9uRHvAr51LACpTjk5OWLMmDHC1dVVuLu7i/Hjxxt9EV6+fFkAEDt27KjzGCwArcPc92bHjh0CQK1/ly9fluZJNCOfffaZaNOmjXBwcBD9+vUTBw4cMKwbOnSoiI2NNdp+7dq1olOnTsLBwUF07dpVbNiwwcaJWw5z3puQkJBa/x+ZN2+e7YO3AOb+f3M9FoC3TiaEELbudiYiIiIi6fAuYCIiIqIWhgUgERERUQvDApCIiIiohWEBSERERNTCsAAkIiIiamFYABIRERG1MCwAiYiIiFoYFoBERERELQwLQCJqlnbu3AmZTIb8/Hypo9Tr6aefxujRo6WOQUQtDAtAImrybr/9drz88stGy6KiopCeng4PDw9pQhERNWIsAImoWXJwcEBAQABkMpnUUWxOp9NBr9dLHYOIGjEWgERkM7fffjumTJmCl19+GSqVCv7+/li+fDmKi4sxfvx4uLm5oUOHDti0aZPRfrt27UK/fv2gVCoRGBiIWbNmQavVAqjqQt21axc++eQTyGQyyGQyJCcn19oF/L///Q9du3aFUqlEaGgoPv74Y6PzhIaG4r333sOECRPg5uaGNm3aYNmyZfU+J71ejw8++AAdOnSAUqlEmzZt8O677xrWJyYmYtiwYXBycoK3tzcmTZqEoqKiGsf56KOPEBgYCG9vb0yePBmVlZWGdeXl5Zg5cyaCgoLg4uKCyMhI7Ny507D+22+/haenJ3799VeEhYVBqVQiJSXF5P22bNmCLl26wNXVFXfffTfS09ONsq1YscLwugUGBuKll14yrMvPz8czzzwDX19fuLu7Y9iwYTh+/Hi9rxkRNQKCiMhGhg4dKtzc3MT8+fPFuXPnxPz584VCoRAjR44Uy5YtE+fOnRMvvPCC8Pb2FsXFxUIIIdLS0oSzs7N48cUXxZkzZ8S6deuEj4+PmDdvnhBCiPz8fDFgwADx7LPPivT0dJGeni60Wq3YsWOHACDy8vKEEEL89ddfQi6Xi7ffflskJSWJb775Rjg5OYlvvvnGkC8kJER4eXmJJUuWiPPnz4sFCxYIuVwuzp49W+dzeuWVV4RKpRLffvutuHDhgtizZ49Yvny5EEKIoqIiERgYKB566CGRmJgo4uPjRdu2bUVsbKxh/9jYWOHu7i6ef/55cebMGfHbb78JZ2dnsWzZMsM2zzzzjIiKihK7d+8WFy5cEB9++KFQKpXi3LlzQgghvvnmG2Fvby+ioqLEvn37xNmzZ0VxcbHJ+0VHR4vDhw+LI0eOiC5duoixY8cazv3FF18IR0dHsXjxYpGUlCQOHTok/v3vfxvWR0dHi1GjRonDhw+Lc+fOiRkzZghvb2+Rk5Nj9ueDiGyHBSAR2czQoUPFoEGDDI+1Wq1wcXERTz31lGFZenq6ACD2798vhBDitddeE507dxZ6vd6wzZIlS4Srq6vQ6XSG406bNs3oXDcWgGPHjhV33nmn0Tb/+te/RFhYmOFxSEiIePLJJw2P9Xq98PPzE19++WWtz0ej0QilUmko+G60bNkyoVKpRFFRkWHZhg0bhFwuFxkZGUKIqgIwJCREaLVawzaPPvqoiImJEUIIceXKFaFQKMTVq1eNjj18+HAxe/ZsIURVIQdAJCQkGNabs9+FCxcM65csWSL8/f0Nj1u1aiVef/31Wp/fnj17hLu7uygrKzNa3r59e/HVV1/Vug8RNQ52kjY/ElGLEx4ebvhvhUIBb29vdO/e3bDM398fAJCVlQUAOHPmDAYMGGB0Ld/AgQNRVFSEtLQ0tGnTxqTznjlzBg888IDRsoEDB2Lx4sXQ6XRQKBQ18slkMgQEBBiy1HbM8vJyDB8+vM71PXr0gIuLi9E59Xo9kpKSDM+1a9euhvMDQGBgIBITEwFUdSHrdDp06tTJ6Njl5eXw9vY2PHZwcDDKbup+zs7OaN++vdG5q59vVlYWrl27VufzO378OIqKioyOBwClpaW4ePFirfsQUePAApCIbMre3t7osUwmM1pWXehJdRNDbfnqyuLk5GT1cxYVFUGhUODIkSNGRSIAuLq6GmW5vkg2db/azi2EMByzPkVFRQgMDDS6rrCap6dnvfsSkbRYABJRo9alSxf873//gxDCUODs27cPbm5uaN26NYCq1i+dTnfT4+zbt89o2b59+9CpU6caBZKpOnbsCCcnJ8THx+OZZ56p9ZzffvstiouLDa2A+/btg1wuR+fOnU06R8+ePaHT6ZCVlYXBgwebnK2h+13Pzc0NoaGhiI+Pxx133FFjfa9evZCRkQE7OzuEhoY26BxEJA3eBUxEjdqLL76I1NRUTJkyBWfPnsUvv/yCefPmIS4uDnJ51VdYaGgoDh48iOTkZKjV6lpb7GbMmIH4+HjMnz8f586dw8qVK/H5559j5syZDc7m6OiIV199Fa+88gq+++47XLx4EQcOHMDXX38NAHjiiSfg6OiI2NhYnDx5Ejt27MCUKVPw1FNPGbp/b6ZTp0544oknMG7cOPz888+4fPkyDh06hAULFmDDhg0W3+9Gb775Jj7++GN8+umnOH/+PI4ePYrPPvsMABAdHY0BAwZg9OjR+OOPP5CcnIw///wTr7/+Ov766y+Tz0FEtscCkIgataCgIGzcuBGHDh1Cjx498Pzzz2PixIl44403DNvMnDkTCoUCYWFh8PX1RUpKSo3j9OrVC2vXrsXq1avRrVs3zJ07F2+//TaefvrpW8o3Z84czJgxA3PnzkWXLl0QExNjuIbO2dkZW7ZsQW5uLvr27YtHHnkEw4cPx+eff27WOb755huMGzcOM2bMQOfOnTF69GgcPnz4ptc/NnS/68XGxmLx4sX44osv0LVrV9x33304f/48gKru4o0bN2LIkCEYP348OnXqhMcffxxXrlwxucAlImnIRPXFHkRERETUIrAFkIiIiKiFYQFIRERE1MKwACQiIiJqYVgAEhEREbUwLACJiIiIWhgWgEREREQtDAtAIiIiohaGBSARERFRC8MCkIiIiKiFYQFIRERE1MKwACQiIiJqYVgAEhEREbUw/w/3WidkcmeGWwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 650x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "coherences = [-0.5, -0.25, -0.1, 0.0, 0.1, 0.25, 0.5]\n",
    "n_rep = 12\n",
    "p_choose_1 = []\n",
    "for c in coherences:\n",
    "    wins = 0\n",
    "    for seed in range(n_rep):\n",
    "        _, _, _, s1_t, s2_t = run_trial(coherence=c, seed=seed, duration=800.0 * u.ms)\n",
    "        wins += int(s1_t[-1] > s2_t[-1])\n",
    "    p_choose_1.append(wins / n_rep)\n",
    "    print(f\"coherence = {c:+.2f}  ->  P(choose pop 1) = {wins / n_rep:.2f}\")\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6.5, 4))\n",
    "ax.plot(coherences, p_choose_1, 'o-', color='tab:purple')\n",
    "ax.axhline(0.5, color='grey', ls='--', lw=1)\n",
    "ax.axvline(0.0, color='grey', ls=':', lw=1)\n",
    "ax.set_xlabel('motion coherence'); ax.set_ylabel('P(choose population 1)')\n",
    "ax.set_ylim(-0.05, 1.05); ax.set_title('Psychometric curve')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "13e5608c",
   "metadata": {},
   "source": [
    "## Summary\n",
    "\n",
    "The Wong-Wang circuit reproduces the core phenomena of two-choice perceptual decisions:\n",
    "\n",
    "- **evidence accumulation** — the synaptic gating variables `S1`/`S2` ramp up and one wins,\n",
    "- **bistability** — under zero evidence, noise alone breaks the symmetry left or right, and\n",
    "- a **psychometric curve** — choice probability rises smoothly with evidence strength.\n",
    "\n",
    "{class}`~brainmass.WongWangStep` exposes the rates via `update(coherence=...)` and the gating\n",
    "state via `model.S1` / `model.S2`. A constant scalar drive like `coherence` is passed directly to\n",
    "`update`; the noise injected through `noise_s1`/`noise_s2` is what makes individual trials\n",
    "stochastic. This single-circuit model is the decision-making node you would embed in a larger\n",
    "network to study distributed choice."
   ]
  }
 ],
 "metadata": {
  "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": "3.13.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
