From 1f86289068dddbca27a1b4e1b0734ad7d394d0ab Mon Sep 17 00:00:00 2001 From: David Rusu Date: Mon, 16 Jun 2025 12:21:13 -0400 Subject: [PATCH] latest version of longest chain cryptarchia --- cryptarchia/longest-chain-cryptarchia.ipynb | 782 ++++++++------------ 1 file changed, 296 insertions(+), 486 deletions(-) diff --git a/cryptarchia/longest-chain-cryptarchia.ipynb b/cryptarchia/longest-chain-cryptarchia.ipynb index de0c613..605bf49 100644 --- a/cryptarchia/longest-chain-cryptarchia.ipynb +++ b/cryptarchia/longest-chain-cryptarchia.ipynb @@ -87,13 +87,13 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 36, "id": "17ef82f8-968c-48b0-bee7-f2642c8b3f3e", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -106,7 +106,7 @@ "blend_net = NetworkParams(\n", " broadcast_delay_mean=0.5,\n", " pol_proof_time=1,\n", - " blending_delay=3,\n", + " blending_delay=2,\n", " desimenation_delay_mean=0.5,\n", " blend_hops=3,\n", ")\n", @@ -364,7 +364,7 @@ " for phase, duration in timings.items():\n", " print(f\"{phase}\\t{duration:.2f}s\")\n", "\n", - " def adverserial_analysis(self, should_plot=False, seed=0):\n", + " def adverserial_analysis(self, should_plot=False, seed=0, k=2160):\n", " from collections import defaultdict\n", "\n", " timings = defaultdict(float)\n", @@ -392,13 +392,14 @@ " if should_plot:\n", " plt.figure(figsize=(20, 6))\n", " ax = plt.subplot(121)\n", + " advantage = np.zeros(self.params.SLOTS)\n", " \n", " adversary_active_slots = np.random.random(size=self.params.SLOTS) < phi(self.params.f, self.params.relative_stake[adversary])\n", " adversary_cumsum = adversary_active_slots.cumsum()\n", "\n", " all_active_slots = (self.leaders.sum(axis=0) + adversary_active_slots) > 0\n", - "\n", - " advantage = np.zeros(self.params.SLOTS)\n", + " slot_lookahead = int(3 * k / self.params.f)\n", + " \n", " prep_t = time.time()\n", " timings[\"honest_chain\"] += honest_chain_t - start_t\n", " timings[\"honest_height_by_slot\"] += honest_height_by_slot_t - honest_chain_t\n", @@ -415,15 +416,15 @@ "\n", " nearest_honest_t = time.time()\n", " \n", - " cumulative_rel_height = adversary_cumsum[block.slot+1:] - adversary_cumsum[block.slot]\n", + " cumulative_rel_height = adversary_cumsum[block.slot+1:block.slot+1 + slot_lookahead] - adversary_cumsum[block.slot]\n", "\n", " adverserial_height_by_slot = block.height + cumulative_rel_height\n", "\n", - " honest_height_by_slot_lookahead = honest_height_by_slot[block.slot + 1:]\n", + " honest_height_by_slot_lookahead = honest_height_by_slot[block.slot + 1:block.slot+1 + slot_lookahead]\n", " \n", " adverserial_wins = adverserial_height_by_slot > honest_height_by_slot_lookahead\n", " \n", - " reorg_events = adverserial_wins & all_active_slots[block.slot+1:]\n", + " reorg_events = adverserial_wins & all_active_slots[block.slot+1:block.slot+1 + slot_lookahead]\n", "\n", " \n", " reorg_events_t = time.time()\n", @@ -478,11 +479,11 @@ "emit_leader_block\t0.00s\n", "prep\t0.00s\n", "total\t0.03s\n", - "avg blocks per slot 0.168\n", - "Number of blocks 168\n", - "longest chain 95\n", - "CPU times: user 27.2 ms, sys: 1.37 ms, total: 28.6 ms\n", - "Wall time: 27.8 ms\n" + "avg blocks per slot 0.153\n", + "Number of blocks 153\n", + "longest chain 92\n", + "CPU times: user 25.9 ms, sys: 874 μs, total: 26.8 ms\n", + "Wall time: 26.3 ms\n" ] } ], @@ -529,13 +530,13 @@ "name": "stderr", "output_type": "stream", "text": [ - "/tmp/ipykernel_24758/682093512.py:279: UserWarning: No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n", + "/private/tmp/nix-shell-78445-0/ipykernel_42604/3345309101.py:280: UserWarning: No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n", " _ = ax.legend()\n" ] }, { "data": { - "image/png": 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qWdeXPamSdXnZ56NCwXf81dCa13qpVPGM1WoNuEZyZ5UqgRZjqCCpAgAAAAAAfMHtSpWZM2faGyUGDBig5ORkbdiwQbfccosGDBjg1rKMMXr44Ye1fPlyrVu3TtWqVXM3HEnSzp07Va5cOY8+i6KlqHf/lfXzrnb/RbWCdzlr9M7IyCj09dL9V8EFYvdfzhryA62aJlTQ/RcAAAAAAPAFt5Mq2Rv6unfvru7du3u08gcffFALFy7UBx98oISEBKWmpkqSkpKSFBsbK+li912HDx/WvHnzJElTp05V1apVVbduXV24cEELFizQ0qVLtXTpUo9iQNHi7+6/PKlUyatbLwaqL3x0/xU86P4LeaFSBQAAAAAA+ILbLbfVqlXT008/rR9//LHAK58+fbr+/fdftWzZUuXKlbP/W7x4sX2eI0eO6ODBg/bXFy5c0LBhw3TFFVfohhtu0IYNG/TJJ5+oa9euBY4Hga+oV6pkbSRnoHr/YKD64BGI1woD1QcOKlUABKuMjAw99dRTqlatmmJjY1W9enU9++yzDve4xhiNHj1a5cuXV2xsrFq2bKk9e/b4MWoAAAAgeLhdqfLwww/r3Xff1fjx49WwYUP95z//0Z133ulR91uuNG7MmTPH4fXw4cM1fPhwt9eF4ODvSpWCDlRPpYr/UakSPALxWqFSJXAE4vkBAN4wadIkzZgxQ3PnzlXdunW1fft29evXT0lJSXr00UclSZMnT9aUKVM0Z84c1apVS+PGjVPbtm21d+9eJSQk+HkLAAAAgKLN7daGIUOGaNu2bfrxxx918803a/r06apcubLatWtn76IL8BUqVVBQVKoEj0C8VqhUCRyBeH4AgDds3rxZnTt3VqdOnVS1alV169ZN7dq10/bt2yVd/P6bOnWqnnzySXXt2lX16tXT3LlzdfbsWS1cuNDP0QMAAABFn9uVKja1atXSmDFjNGbMGG3ZskUDBw5Uv3791Lt3b2/GBzgIxUoVGmS9i0qV4BGIlQhUqgSOQDw/AMAbrr/+es2YMUM//fSTatWqpV27dmnDhg2aOnWqJGnfvn1KTU1Vu3bt7J+Jjo5WixYttGnTJvXv39/pctPS0pSWlmZ/ffLkSUlSenq60tPTfbdBubCtMzos572wJ/FEh+d+T+3N7cttPd6M2dvHw5cx246fP84heJftGHIsizaOY3DgOAYPjmVgcec4eJxUkaStW7dq4cKFWrx4sf79919169atIIsD8pU1CeHp5wuzUiXr+qxWqyIi/v+Sy7q87PPREOg7/hq8Oq/1UqnimazVXoHCWaUKSRX/4LsUQLB6/PHH9e+//6pOnToKDw9XZmamxo8frx49ekiSUlNTJUllypRx+FyZMmV04MCBXJc7YcIEjRkzJsf0VatWKS4uzotb4J6xjXP+Hf3000/dXs7kq3N/z5Plubseb8bszXi9vZ7clpWSkuL2shCYOJbBgeMYHDiOwYNjGRjOnj3r8rxuJ1V++uknvfPOO1q4cKH279+vVq1aaeLEieratSv988LnQrH7r0BrNC7q6P4reARi907+Stohp0A8PwDAGxYvXqwFCxZo4cKFqlu3rr755hs99thjKl++vPr06WOfL/t3YH7fiyNHjtSQIUPsr0+ePKlKlSqpXbt2SkxM9P6G5CM9PV0pKSl6enuY0qyOce8efZPby6s3+vNc3/Nkee6ux5sxezNeb68n+7Kiw4zGNraqbdu2ioyM9Ci+/NaRlbf3Df6f7Zr05rFE4eM4BgeOY/DgWAYWW6W2K9xOqtSpU0eNGzfWgw8+qLvuuktly5Z1dxGAx0Kx+y94F91/BY9AvFacJc9IqvhHIJ4fAOAN//3vfzVixAjdddddkqT69evrwIEDmjBhgvr06WP/fZaamqpy5crZP3f06NEc1StZRUdHKzo6Osf0yMhIv/7IT7NalJbpeE/kSTzZl1HQ5bm7Hm/G7O3jUVgxeyvuwjqWcM7f3wnwDo5jcOA4Bg+OZWBw5xi4nVT58ccfVatWLXc/BnhFQStVCpJUYaD64EClSvDImpgMFM6SZ4yL5B98lwIIVmfPns3x9y88PNx+L1mtWjWVLVtWKSkpatiwoSTpwoULWr9+vSZNmlTo8QIAAADBxu2kCgkV+FNBK1UKgkqV4EClSvAIxGuFgeoDRyCeHwDgDbfccovGjx+vypUrq27dutq5c6emTJmie+65R9LFvz2PPfaYnnvuOdWsWVM1a9bUc889p7i4OPXs2dPP0QMAAABFn0tJlRIlSrjcuHf8+PECBQTkpaCVKgVBpUpwoFIleATiteKv8ws5BeL5AQDe8Oqrr+rpp5/WoEGDdPToUZUvX179+/fXM888Y59n+PDhOnfunAYNGqR//vlH11xzjVatWsUYmAAAAIAXuJRUmTp1qv3/jx07pnHjxummm25S06ZNJUmbN2/W559/rqefftonQQI2VKqgoKhUCR6BeK1QqRI4AvH8AABvSEhI0NSpUx1+o2VnsVg0evRojR49utDiAgAAAEKFS0mVPn362P//9ttv17PPPquHHnrIPu2RRx7RtGnTtHr1ag0ePNj7USJoFLSRuKhVqmRvOA8LC7NvQ9blOZsPvpF9/xZmpUpu682vUoXkinOBWIngr/MLOTn7Lg208wUAAAAAABQ9brfcfv7552rfvn2O6TfddJNWr17tlaAQvArauJi1u6zC5kkDbvYunrK+zro8Z/NlXS+8J/v+LcxKldzWm1+lCueAc7ZkVCDtHypVAkf2a07iWgIAAAAAAAXndlKlZMmSWr58eY7pK1asUMmSJb0SFJAXf401UdBKleyfz61ShS5rfCuvbrj8tV7GVPGM1WpVeHh4QDWUOxtThaSKf/BdCgAAAAAAfMGl7r+yGjNmjO69916tW7fOPqbKli1btHLlSr311lteDxDIzmKxFJmkijcGqqe7Gu9ioPrgYYxRREREQDWeO0ueBVLSJ5QEYvdwAAAAAACg6HO7Fapv377atGmTihcvrmXLlmnp0qVKSkrSxo0b1bdvXx+ECDjKOi5JYWKg+uDAQPXBIxArVej+K3DwXQqgMO3bt8/fIQAAAAAoJG5XqkjSNddco3feecfbsQAuCbVKFXgXlSrBwxij8PDwgEpa+Ov8Qk58lwIoTDVq1FDz5s117733qlu3boqJifF3SAAAAAB8pEAtdufOndPJkycd/gG+RqUKCoJKleBBpQrywncpgMK0a9cuNWzYUEOHDlXZsmXVv39/bd261d9hAQAAAPABt1sbzp49q4ceekilS5dWfHy8SpQo4fAP8LVQq1TJWtGAgqNSJXhQqYK8UKkCoDDVq1dPU6ZM0eHDhzV79mylpqbq+uuvV926dTVlyhT99ddf/g4RAAAAgJe43WL33//+V2vWrNHrr7+u6OhovfXWWxozZozKly+vefPm+SJGwEGoVarwpLt3UakSPKhUQV6oVAHgDxEREerSpYuWLFmiSZMm6ddff9WwYcNUsWJF9e7dW0eOHPF3iAAAAAAKyO3Who8++kivv/66unXrpoiICN1www166qmn9NxzzzHOCgqFv57g96SBLmvDefbPZ32d13xZ30PB+Wv/5rVeKlU8Y0uqBNL14axSJZDiCyUkVQD4w/bt2zVo0CCVK1dOU6ZM0bBhw/Trr79qzZo1Onz4sDp37uzvEAEAAAAUkNsD1R8/flzVqlWTJCUmJur48eOSpOuvv14DBw70bnSAE/56gt+TSpW8uvXK+jprV1B0/+Vb/tq/ea2XShXP2Lr/CqTrw1mlSiDFF0ro/gtAYZoyZYpmz56tvXv3qmPHjpo3b546duxo/5tQrVo1vfHGG6pTp46fIwUAAABQUG4/wlm9enXt379fknT55ZdryZIlki5WsBQvXtybsQFOUamCgqBSJXhQqYK8UKkCoDBNnz5dPXv21MGDB7VixQrdfPPNOb6DKleurFmzZvkpQgAAAADe4nalSr9+/bRr1y61aNFCI0eOVKdOnfTqq68qIyNDU6ZM8UWMgINQG6iega69i4Hqg4cxRhEREQGVtHCWPOP69Q8qVQAUpp9//jnfeaKiotSnT59CiAYAAACAL7mdVBk8eLD9/1u1aqUff/xR27dv16WXXqoGDRp4NTjAGQaqR0EwUH3wYKB65IWkCoDCNHv2bMXHx+uOO+5wmP7ee+/p7NmzJFMAAACAIFLgx6ArV66srl27klBBoaFSBQVBpUrwsI2pEkhJC65fAAhNEydO1CWXXJJjeunSpfXcc8/5ISIAAAAAvkKLHYocKlVQEFSqBA8qVQAAgeLAgQOqVq1ajulVqlTRwYMH/RARAAAAAF8hqYIih4HqURAMVB88GKgeABAoSpcurW+//TbH9F27dqlkyZJ+iAgAAACAr9BihyLHX0/we1KpkrWLp+yfz/o6r/myvoeC89f+zWu9VKp4xtb9VyBdH84qVQIpPgCAb9x111165JFHtHbtWmVmZiozM1Nr1qzRo48+qrvuusvf4QEAAADwIrcHqgf8jUoVFASVKsHDarUqIiIioK4PKlUAIDSNGzdOBw4cUOvWrRURcfEnltVqVe/evRlTBQAAAAgybidVwsPDdeTIEZUuXdph+rFjx1S6dGllZmZ6LTjAGSpVUBBUqgQPKlUAAIEiKipKixcv1tixY7Vr1y7Fxsaqfv36qlKlir9DAwAAAOBlbidVcmscSktLU1RUVIEDAvJDpQoKIlAqVbIOYE6limcCcUwVrl8ACG21atVSrVq1/B0GAAAAAB9yOanyyiuvSLrYEPjWW28pPj7e/l5mZqa+/PJL1alTx/sRAtlYLJYik1TJ2nCevRrBarU6VKrkNl9YWBhPunuRv/avs0oVG5IqnjHGFInuv7h+ASD4ZWZmas6cOfriiy909OjRHH+b1qxZ46fIAAAAAHiby0mVl156SdLFBqMZM2YoPDzc/l5UVJSqVq2qGTNmeD9CBA1Pus9yJiwsrMh0/5W1QTV7w7kxxqFSJbf5siZcUHD+2r95JeXo/ssztkqVQEpacP0CQGh69NFHNWfOHHXq1En16tXjbzgAAAAQxFxOquzbt0+S1KpVKy1btkwlSpTwWVAITp5UejgTHh7ulx+qdP8VHAKl+6/83qNSJX+B2P0XA9UDQGhatGiRlixZoo4dO/o7FAAAAAA+5vaYKmvXrvVFHAgB3qpUyVolVZgYqD44BMpA9fm9R6VK/hioHgAQKKKiolSjRg1/hwEAAACgELidVKG/YHjKm5Uq/uDtShVX18OT7t5FpUrwoFIFABAohg4dqpdfflnTpk3joQgAAAAgyLmdVKG/YHiKShXXPk+lim9RqRI8bOMSBdL1QaUKAISmDRs2aO3atfrss89Ut25dRUZGOry/bNkyP0UGAAAAwNvcTqrQXzA8RaUKlSqBgEqV4BJo1weVKgAQmooXL64uXbr4OwwAAAAAhcDtpAr9BcNTVKpQqRIIimqlireun2ATaNcHlSoAEJpmz57t7xAAAAAAFBK3H4O29RdMIxHcRaUKlSqBoChWqgRaF1eBJNCuD65fAAhdGRkZWr16td544w2dOnVKkvTHH3/o9OnTfo4MAAAAgDe5VKnStWtXh9dr1qyhv2C4zVtJlYgItwusvIKkSnDwZ1Ilt3PXlaSKt66fYBNo1wfdfwFAaDpw4IDat2+vgwcPKi0tTW3btlVCQoImT56s8+fPa8aMGf4OEQAAAICXuNQ6nZSU5PCa/oLhCbr/ovuvQFAUu//iHMhdoO0buv8CgND06KOPqnHjxtq1a5dKlixpn96lSxfdd999fowMAAAAgLe5lFShj2B4A91/UakSCIpq91+cA84F2r6hUgUAQtOGDRu0ceNGRUVFOUyvUqWKDh8+7KeoAAAAAPiCX/uSmTBhgpo0aaKEhASVLl1at912m/bu3Zvv59avX69GjRopJiZG1atXp5y+iKBShUqVQEClSnAJtH1DpQoAhCar1arMzMwc0w8dOqSEhAQ/RAQAAADAV9wenKJhw4ZOGwYtFotiYmJUo0YN9e3bV61atcp3WevXr9eDDz6oJk2aKCMjQ08++aTatWun77//XsWKFXP6mX379qljx466//77tWDBAm3cuFGDBg1SqVKldPvtt7u7OShEVKpQqRIIqFQJLoG2b6hUAYDQ1LZtW02dOlUzZ86UdPG30enTpzVq1Ch17NjRz9EBAAAA8Ca3W7jbt2+v3377TcWKFVOrVq3UsmVLxcfH69dff1WTJk105MgRtWnTRh988EG+y1q5cqX69u2runXrqkGDBpo9e7YOHjyor7/+OtfPzJgxQ5UrV9bUqVN12WWX6b777tM999yjF154wd1NQSGjUoVKlUBApUpwCbR9Q6UKAISml156SevXr9fll1+u8+fPq2fPnqpataoOHz6sSZMm+Ts8AAAAAF7kdqXK33//raFDh+rpp592mD5u3DgdOHBAq1at0qhRozR27Fh17tzZrWX/+++/kqTk5ORc59m8ebPatWvnMO2mm27SrFmzlJ6ersjISIf30tLSlJaWZn998uRJt2JCTmPHjlWTJk3Uvn17SdKuXbv00ksv5fu5c+fOqUSJEgVef2JiYoE+n56err59+7r9uc2bNysiwr1LJioqSitWrNCBAwe0ceNGRUZGKiIiQn379tW+ffsc5t23b5/69u2rX3/9VY899pjDMp588kn7dTFo0CBdffXVbsfvibNnz+rhhx9WZmam7rjjDnXq1MnpfKtXr9aCBQtcWubdd9+tNm3a2F+fO3dOn332mfbu3eu0+78WLVqoX79++uKLLzR//vwc7z/44IN64403lJGRIUmqXr26nnnmGUkXkxUDBw7U+fPn7fPv2LFDvXr1sr+OiIjQ1q1b7efEuHHjVLFiRZe2xRXff/+9Jk+erJ9++klPPvmkw3u///67+vbtq/3796t///4O70VHRys6OlrSxXPggQceUGRkpNq1a6eePXt6Lb6i5pFHHrF/j//222+6/vrrNXr0aJUqVco+zzXXXCNJ+t///pfnsv773/+qbt26Xo0ve1IlKipK69aty/M7Z8SIEapTp45X4wh1q1ev1tGjR3NMDwsLsx8Li8WiiRMn6quvvtLHH3+cY94xY8aoSpUqvg7VZb/99pueffZZSdJjjz2mK6+80uNlzZo1S1999ZXDNIvFohdffDHPezBfGzNmjJo2bZrjPg8oCsqXL69vvvlG7777rnbs2CGr1ap7771XvXr1UmxsrL/DAwAAAOBFbidVlixZ4rSS5K677lKjRo305ptvqkePHpoyZYpbyzXGaMiQIbr++utVr169XOdLTU1VmTJlHKaVKVNGGRkZ+vvvv1WuXDmH9yZMmKAxY8a4FQvyNnPmTGVkZNiTKrt379b111+vrl275vvZ3Lp1c8c777xToM8vW7ZM586dc/tz4eHhbsdft25drVu3TsYYhYeHKykpSQsXLtTZs2dzDGS6efNmXbhwQZJUvHhx+/Qnn3xSp06dkiR99tln2rVrV6ElVU6cOKHMzEw98MAD+uijj3JNqmzZskW9evVSo0aN8lze9u3b9b///c8hqXLixAl9+umnSk1N1bx58xzmP3/+vAYPHqx+/fppy5Yt6tmzpxo3bmx/f9myZfrf//6nM2fO6LXXXpMk/ec//7G/n5mZqUOHDjks12KxOCT3YmJitHPnTmVkZGjq1Kk6cOCAV5MqP/74oxo3bqwpU6bkSCp+9dVXTo+5JF155ZVq0KCBpIvX3JkzZ3T8+HGNHz8+pJMqP//8s/07IDIyUrGxsbr//vsd5unbt6+MMZo7d26uy1m8eLF++OEHrydVslcdlSxZUtu2bXPaz74kLViwQHv37iWp4mVbtmzR888/n2P6u+++a//+nzRpkg4fPqw1a9Zo6NChqlChgn2+1157Tfv27QuopMovv/yiOnXqqFSpUtq9e3eBkiqffPKJZsyY4fCgwOjRo3X06FG/JlXefPNNSSKpgiIrNjZW99xzj+655x5/hwIAAADAh9xOqsTExGjTpk2qUaOGw/RNmzYpJiZG0sUndW1PWLvqoYce0rfffqsNGzbkO2/2bnJsXas461pn5MiRGjJkiP31yZMnValSJbdig6PsYwQYY5SYmFhoDTEF7f4rNja2UJ8YzN6QHhMTY79WsoqPj3f6+cjISPu+TUpK0pkzZ7wfZC6sVqvi4uJUokSJPLswslqtKlGiRL7nQPHixXMsx2q12pNO2T+flpbmMCZN9nUkJibqzJkzio2NtU/Pen5YrVbFxMTkG5et+ik+Pt7rXTXldX3kdswlx+6/bFUrFosl5MfniIqKyrEvs7+27be8jntCQoJPuuVyNj5OUlJSoccR6qxWq9Pv+azf/8WKFZPVapXValXJkiUdzhdffBcUlDFGCQkJSkxMdKi+83RZl1xyicO5GhcX5/fvF7rLQ1GW/cGQ7Hr37l1IkQAAAADwNbeTKg8//LAGDBigr7/+Wk2aNJHFYtHWrVv11ltv6YknnpAkff7552rYsKFby/zwww/15Zdf5vuEeNmyZZWamuow7ejRo4qIiFDJkiVzzJ+1Cx14R/ZGD6vV6pWxUpC/wm5Utz11n996XR0vxtlyjDH2xIqz+fMak8ZisSgjI8NhetbluDsOji/2rzevDxoc5dL2G2Pync9X11IgnHNw7TjYrqfcvlsC7bjYvku8EZuz76VA+H7J/tAGUJQ8+uijDq/T09PtlclxcXEkVQAAAIAg4nZS5amnnlK1atU0bdo0+/gGtWvX1ptvvmnvkmbAgAEaOHBgvssyxujhhx/W8uXLtW7dOlWrVi3fzzRt2lQfffSRw7RVq1apcePGOcZTgW9kb9Bx9mQ2fKOwG5xsxza/9bp6Djhbju1J8fzmd7aOsLAwZWZm5rpud89NX+xfb14fNDh6j6/2ZSCcc3DtONj2fW7fLYF2XFz9PnaFs0RSIGxzICazAFf9888/Oab9/PPPGjhwoP773//6ISIAAAAAvuJ2UkWSevXq5TDQc3audq304IMPauHChfrggw+UkJBgr0BJSkqyL2PkyJE6fPiwvaR+wIABmjZtmoYMGaL7779fmzdv1qxZs/Tuu+96sinwQFhYWIGqAeC5wn6SOGulSl7rdadSJfty8qoqcKVSJTMzM9d1e1I14Ivuv6hUCTyBVKnCMfU+b1SqBNpxcfX72FOBsM3Z7y+Aoq5mzZqaOHGi7r77bv3444/+DgcAAACAl/i1vGD69On6999/1bJlS5UrV87+b/HixfZ5jhw5ooMHD9pfV6tWTZ9++qnWrVunK6+8UmPHjtUrr7yi22+/3R+bEJKoVPEfKlWoVAnlp7i9maCiUiW4UanivkDYZipVEIzCw8P1xx9/+DsMAAAAAF7kUqVKcnKyfvrpJ11yySUqUaJEno1ax48fd3nlrjyNOGfOnBzTWrRooR07dri8HngXlSr+Q6UKlSqh/BR3UdiX7iZVQv2Y+gqVKu4LhG2mUgVF2Ycffujw2hijI0eOaNq0aWrWrJmfogIAAADgCy4lVV566SUlJCRIkqZOnerLeFAEUKniP6FWqZLfOqhUCS1FYV+6m/gJ9WPqK1SquC8QtplKFRRlt912m8Nri8WiUqVK6cYbb9SLL77on6AAAAAA+IRLSZU+ffo4/X+EJipV/CfUKlXyWweVKqGlKOxLKlUCA5Uq7guEbaZSBUUZCUEAAAAgdHj0yO+vv/6qp556Sj169NDRo0clSStXrtSePXu8GhwCE5Uq/kOlSs6nyTMyMqhUCRFFYV9SqRIYqFRxXyBsM5UqAAAAAICiwKVKlazWr1+vDh06qFmzZvryyy81fvx4lS5dWt9++63eeustvf/++76IEwEke8MLSZXCQ1KF7r9CucGxKOzLQDjnQFLFE4GwzYEQA+CpIUOGuDzvlClTfBgJAAAAAF9zO6kyYsQIjRs3TkOGDLGPsyJJrVq10ssvv+zV4BCY6P7Lf+j+i+6/QrlrnKKwLwPhnAPdf3kiELaZ7r9QlO3cuVM7duxQRkaGateuLUn66aefFB4erquuuso+H/fMAAAAQNHndlLlu+++08KFC3NML1WqlI4dO+aVoBDY6P7Lf6hUcV6pEhkZWaC48oqvoLx5fYR61zhUqsBVVKq4LxC2OdS/41C03XLLLUpISNDcuXNVokQJSdI///yjfv366YYbbtDQoUP9HCEAAAAAb3G7dap48eI6cuRIjuk7d+5UhQoVvBIUAhuVKv5DpQqVKqGMShW4ikoV9wXCNlOpgqLsxRdf1IQJE+wJFUkqUaKExo0bpxdffNGPkQEAAADwNreTKj179tTjjz+u1NRU+xOFGzdu1LBhw9S7d29fxIgAQ6WK/1CpEtpjqoQ6KlXgKipV3BcI20ylCoqykydP6s8//8wx/ejRozp16pQfIgIAAADgK263To0fP16VK1dWhQoVdPr0aV1++eVq3ry5rrvuOj311FO+iBEBhkoV/6FSJbQrVUJdUahUcTepEgjVAcGIShX3BcI2U6mCoqxLly7q16+f3n//fR06dEiHDh3S+++/r3vvvVddu3b1d3gAAAAAvMjtMVUiIyP1zjvv6Nlnn9XOnTtltVrVsGFD1axZ0xfxIQBRqeI/wVypEh4e7lIs2ZdHpUroKAqVKu4mfgKhOiAYUanivkDYZipVUJTNmDFDw4YN091336309HRJUkREhO699149//zzfo4OAAAAgDe5nVSxufTSS3XppZd6MxYUEeHh4Q6NHsYYGo0LSWE/xWtrxMvvCWZ3kirZl2O1Wl3aprySKlkbsbP+vydJFSpVApc7+9LVKgVvo1IlMARjUsX2t9ZXfwcCIaHB9YCiLC4uTq+//rqef/55/frrrzLGqEaNGipWrJi/QwMAAADgZW4nVTIzMzVnzhx98cUXOnr0aI4f4GvWrPFacAhM2Rs9rFYrjcaFpLAbvWyN2Pk1MLrT/Vf25RhjXNqm3LroycjIcGgQLUjXdL7Yv1SqeI87+zK/hlkqVYKbN7r/CrTjYvtb66vYAqHrLa4HBIMjR47oyJEjat68uWJjY3m4AgAAAAhCbidVHn30Uc2ZM0edOnVSvXr1+JEQguj+y3+CufsvV2PJvjy6/wodRaH7L3eTzDQi+4Y7lSruvucvodD9VyDEAHjq2LFj6t69u9auXSuLxaKff/5Z1atX13333afixYvrxRdf9HeIAAAAALzE7aTKokWLtGTJEnXs2NEX8aAIYKB6/2GgegaqD2VFYaB627IDIY5Q5k6lirvv+QsD1QOBbfDgwYqMjNTBgwd12WWX2affeeedGjx4MEkVAAAAIIi4/chvVFSUatSo4YtYUERQqeI/VKpQqRLKikKlSlGNI9hQqeK+QNjmQOx2DXDVqlWrNGnSJFWsWNFhes2aNXXgwAGvr+/w4cO6++67VbJkScXFxenKK6/U119/bX/fGKPRo0erfPnyio2NVcuWLbVnzx6vxwEAAACEIrdbp4YOHaqXX36ZJwlDGJUq/kOlCpUqoayoVKoUxTiCDZUq7guEbaZSBUXZmTNnFBcXl2P633//rejoaK+u659//lGzZs0UGRmpzz77TN9//71efPFFFS9e3D7P5MmTNWXKFE2bNk3btm1T2bJl1bZtW506dcqrsQAAAAChyKXuv7p27erwes2aNfrss89Ut25dRUZGOry3bNky70WHgESliv9QqUKlSiijUgWuolLFfYGwzVSqoChr3ry55s2bp7Fjx0r6//P5+eefV6tWrby6rkmTJqlSpUqaPXu2fVrVqlXt/2+M0dSpU/Xkk0/af8fNnTtXZcqU0cKFC9W/f3+ny01LS1NaWpr99cmTJyVJ6enpSk9P9+o2uMK2zuiwnMlWT+KJDs89aevN7cttPd6M2dvHw5cx245fYexjb68Hjmz7ln1ctHEcgwPHMXhwLAOLO8fBpaRKUlKSw+suXbq4FxGCSnh4uEOjhzGGRuNCUthP8doa8fJ7gtmdpEr25VitVpe2Ka+kStYn0rP+vydJFSpVApc7+7IgVQqFKVDiCDbeSKoE2nGx/a31VWyBkNDgekBR9vzzz6tly5bavn27Lly4oOHDh2vPnj06fvy4Nm7c6NV1ffjhh7rpppt0xx13aP369apQoYIGDRqk+++/X5K0b98+paamql27dvbPREdHq0WLFtq0aVOuSZUJEyZozJgxOaavWrXKaRVOYRnbOOd306effur2ciZfnft7nizP3fV4M2Zvxuvt9eS2rJSUFLeX5e46JO/vG+TkzWMJ/+E4BgeOY/DgWAaGs2fPujyvS0mVrE9BAdkbPaxWK43GhaSwG71sjdj5PcHsTvdf2ZdjjHFpm/Lq/iu3xlNPuv+iUiVwUakCV3mj+69AOy62v7W+is3fiSRjTI6HNoCi5PLLL9e3336r6dOnKzw8XGfOnFHXrl314IMPqly5cl5d12+//abp06dryJAheuKJJ7R161Y98sgjio6OVu/evZWamipJKlOmjMPnypQpk+f4LiNHjtSQIUPsr0+ePKlKlSqpXbt2SkxM9Oo2uCI9PV0pKSl6enuY0qyO3+m7R9/k9vLqjf481/c8WZ676/FmzN6M19vryb6s6DCjsY2tatu2bY5eLjxVWMcSjmzXpDePJQofxzE4cByDB8cysNgqtV3hUlIFsLE9KUulin9QqZJ/pYr0/w2qVKoEF8ZUgatcrVTJyMjI9b1AOy7BXqlitVoVHh4ecPsdcEV6erratWunN954w2mlh7dZrVY1btxYzz33nCSpYcOG2rNnj6ZPn67evXvb58vt/ig30dHRTsd/iYyM9OuP/DSrRWmZjnF7Ek/2ZRR0ee6ux5sxe/t4FFbM3oq7sI4lnPP3dwK8g+MYHDiOwYNjGRjcOQa0hMMttidJqVTxDypVclaqZGRkODSeZm2kplIluLizL/NrmA2UCpFAiSPYUKniPn8nkqhUQVEWGRmp3bt3F9r9cLly5XT55Zc7TLvssst08OBBSVLZsmUlyV6xYnP06NEc1SsAAAAA3EdLH9xie5KUger9w18D1XuzUsXXA9VnXQcD1QcXuv+Cqxio3n3+3mar1aqIiIiA2++Aq3r37q1Zs2YVyrqaNWumvXv3Okz76aefVKVKFUlStWrVVLZsWYe+uS9cuKD169fruuuuK5QYAQAAgGBG919wi7NKFbo3KjyF3VWQq8fWnUqV7PEbY1zaprzGVMk+UH1BKlXo/itw0f0XXOWNSpVAOy62bfJVbP7eZmf3F0BRcuHCBb311ltKSUlR48aNVaxYMYf3p0yZ4rV1DR48WNddd52ee+45de/eXVu3btXMmTM1c+ZMSRev58cee0zPPfecatasqZo1a+q5555TXFycevbs6bU4AAAAgFDldlJl3759qlatmi9iQRFApYp/+atSxVvzUamCgqBSBa6iUsV9/t5mZ/cXQKD79ttvVa9ePYWFhWn37t266qqrJF2sGsnK2w9XNGnSRMuXL9fIkSP17LPPqlq1apo6dap69epln2f48OE6d+6cBg0apH/++UfXXHONVq1apYSEBK/GAgAAAIQit5MqNWrUUPPmzXXvvfeqW7duiomJ8UVcCFC2J0mzDu7LQPWFx18D1XtrvtwGqndlXB5XB6rPug4Gqg8u7uzLglQpFKZAiSPYeCOpEmjHJVQGqk9PT/dbDIC7GjZsqCNHjqh06dI6cOCAtm3bppIlSxbKum+++WbdfPPNub5vsVg0evRojR49ulDiAYqyqiM+cTp9/8ROhRwJAAAoKtxuCd+1a5caNmyooUOHqmzZsurfv7+2bt3qi9gQgJw1VDFQfeHx10D13povt4Hqs1ebuLoOW/df2Qeqt62DgeqDC5UqcBUD1bvP34kkBqpHUVS8eHHt27dPkrR//37OXwAAACBEuN06Va9ePU2ZMkWHDx/W7NmzlZqaquuvv15169bVlClT9Ndff/kiTgQIZ1UpVKoUnmCtVMlebeLqOqhUCS2MqQJXUaniPn8nkmzHLND2O5CX22+/XS1atFC1atVksVjUuHFjVa9e3ek/AAAAAMHD44HqIyIi1KVLF3Xs2FGvv/66Ro4cqWHDhmnkyJG68847NWnSJJUrV86bsSIAOKtKoVKl8FCpQqVKKKNSBa6iUsV9/k5o8IAGiqKZM2eqa9eu+uWXX/TII4/o/vvvZ8wSAAAAIAR4nFTZvn273n77bS1atEjFihXTsGHDdO+99+qPP/7QM888o86dO9MtWBCiUsW/ArVSxdXkRUErVbLPQ6VKaKFSBa5y5VyhUsWRvxNJPKCBoqp9+/aSpK+//lqPPvooSRUAAAAgBLidVJkyZYpmz56tvXv3qmPHjpo3b546duxob7isVq2a3njjDdWpU8frwcL/qFTxr0CtVHFVbpUqGRkZLiU/nFWqZP8slSrBy519mV+jc6BUiARKHKGIShVH/k4k8YAGirrZs2f7OwQAAAAAhcTtpMr06dN1zz33qF+/fipbtqzTeSpXrqxZs2YVODgEntwGqqchpHAUdgNsYRxbW6WKJ+uxVapk/WzWfeRJpQpJlcBF91/wpvwqVQLtuNjOf1/F5u9t5rsSAAAAAFBUuPXrNSMjQ7169dLdd9+da0JFkqKiotSnT58CB4fAY3uSNOvT/zxdWngK+0liV4+tu9Ug2dfhSvdfzt7Pr/svd89Nuv8KbO7sy4KMp1GYAiWOYONOd4S5fbcE2nEpjO6//F2pwnclAAAAAKAocKslPCIiQi+++KIyMzN9FQ8CnK37kawNL3T/VXgKu0saV49tQRriXK1UcbaO/Aaqd/fcpPuvwEalClzlyneS7XrP7bsl0I5LYXT/RaUKAAAAAAD5c/vXa+vWrbVu3TofhIKigIHq/StQB6ov6DpcqVRxhoHqQwsD1cObGKjekb8TSTygAQAAAAAoKtweU6VDhw4aOXKkdu/erUaNGqlYsWIO7996661eCw6Bh4Hq/csfA9X7Oqli6/7Lk/XkV6nCQPXBhUoVeBMD1TvydyKJBzQAAAAAAEWF20mVgQMHSpKmTJmS4z1bAyeCF5Uq/uWPSpWICLe/JtxeB5UqcAWVKvAmKlUc+TuRxAMaAAAAAICiwu3W0kB7chOFi0oV//JHpYqvjy2VKnAVlSrwJipVHPk7kcQDGgAAAACAooJfr3ALlSr+xZgqjqhUCS1UqsCbqFRx5O9EEg9oAAAAAACKCo/69Tlz5ozWr1+vgwcP6sKFCw7vPfLII14JDIGJShX/CoZKleyNgcYYZWRkeFypkv2zVKoEL3f2ZX6NzoFSIRIocYQiKlUc+TuRxAMaAAAAAICiwu2kys6dO9WxY0edPXtWZ86cUXJysv7++2/FxcWpdOnSJFWCnLNGTRqNC09hN8AWZqWKJ+uxVapk/WzWfeRJpQpJlcBF91/wpvwqVQLtuNjOf1/F5u9t5rsSAAAAAFBUuP3rdfDgwbrlllt0/PhxxcbGasuWLTpw4IAaNWqkF154wRcxIoDQ/Zd/BUP3X84qnej+C65wZ1/mN1+gdLsVKHGEIrr/cuTv6hyqXgEAAAAARYXbraXffPONhg4dqvDwcIWHhystLU2VKlXS5MmT9cQTT7i1rC+//FK33HKLypcvL4vFohUrVuQ5/7p16+xdX2T99+OPP7q7GfAQ3X/5VzB0/+VsHZI87v4r+2fp/it4ubovbX8b8uLvp/IDLY5QRPdfjvydSOIBDQAAAABAUeH2r9fIyEh7Y1WZMmV08OBBSVJSUpL9/1115swZNWjQQNOmTXPrc3v37tWRI0fs/2rWrOnW5+E5KlX8KxgqVZytQ8q/ssAZW2xUqoQGV/elxWLJ97gHSoVIoMQRiqhUceTvRBIPaAAAAAAAigq3x1Rp2LChtm/frlq1aqlVq1Z65pln9Pfff2v+/PmqX7++W8vq0KGDOnTo4G4IKl26tIoXL+7251BwVKr4V2E3wFKpUnBUqniPq/vS1XkCoRIhUOIIRVSqOPJ3IokHNAAAAAAARYXbv16fe+45lStXTpI0duxYlSxZUgMHDtTRo0c1c+ZMrwfoTMOGDVWuXDm1bt1aa9euzXPetLQ0nTx50uEfPEelSmihUqXgqFTxHipV4E1UqjjydyKJBzQAAAAAAEWF25UqjRs3tv9/qVKl9Omnn3o1oLyUK1dOM2fOVKNGjZSWlqb58+erdevWWrdunZo3b+70MxMmTNCYMWMKLcZgR6VKaKFSpeCoVPEeKlXgTVSqOPJ3IokHNAAAAAAARYXbSZVz587JGKO4uDhJ0oEDB7R8+XJdfvnlateundcDzKp27dqqXbu2/XXTpk31+++/64UXXsg1qTJy5EgNGTLE/vrkyZOqVKmST+MMZlSqhJZAqFTJq5EvFCtVAu3p+cLkTqVKfvMFSoVIoMQRikK1UiVQE0k8oAEAAAAAKCrcbi3t3Lmz5s2bJ0k6ceKErr76ar344ovq3Lmzpk+f7vUA83Pttdfq559/zvX96OhoJSYmOvyD55w1UvMkfvAqzKSKJ+uxfSbrZ7M2lHqSVKFSJXC5U6mS33yBUiESKHGEovySKoF2XGznf0Fjy+1BCH9vM9+VAAAAAICiwu1KlR07duill16SJL3//vsqW7asdu7cqaVLl+qZZ57RwIEDvR5kXnbu3Gkf4wW+R/dfoSUQuv/Ka/2udP/lTiNdUej+K5SvNbr/gjeFavdfuV1H/q7OoeoVABDMqo74JNf39k/sVIiRAAAAb3A7qXL27FklJCRIklatWqWuXbsqLCxM1157rQ4cOODWsk6fPq1ffvnF/nrfvn365ptvlJycrMqVK2vkyJE6fPiwvTJm6tSpqlq1qurWrasLFy5owYIFWrp0qZYuXeruZsBDuXX/FcoNvcEsELr/kvLurib7Z7N3/xUR4frXXFHo/iuU0f0XvKmodv9V0O+T3K4jfyeSeEADAAAAAFBUuJ1UqVGjhlasWKEuXbro888/1+DBgyVJR48edbtrre3bt6tVq1b217axT/r06aM5c+boyJEjOnjwoP39CxcuaNiwYTp8+LBiY2NVt25dffLJJ+rYsaO7mwEP5dboQUNIcCqsSpW8umvKq3GTgepDC5Uq8KaiWqnijeVQqQIAAAAAgOfcTqo888wz6tmzpwYPHqzWrVuradOmki5WrTRs2NCtZbVs2TLPH/Bz5sxxeD18+HANHz7c3ZDhRTR6hJbCqlQJDw/PtbEwv8bN7E9uB/tA9aGMShV4U1GtVPHGcqhUAQAAAADAc24nVbp166brr79eR44cUYMGDezTW7durS5dung1OAQeGj1CS2FVqoSHh3tUqSJdbAikUiU0UKkCb6JSxZG/E0k8tAEAAAAAKCrcSqpkZGQoJiZG33zzTY6qlKuvvtqrgSEw0egRWqhUKThvJ6YC7en5wkSlCryJShVH/k4k8dAGAAAAAKCocCupEhERoSpVqigzM9NX8SDA8dR9aCnMpEpelSr5JVWyfjbr/J4kVahUCVzuVKr4K6nibqMwlSr+k19SJdCOi7e+S/KqVPF3UoXvSgAAAABAUeB2919PPfWURo4cqQULFig5OdkXMSGA8SRpaKH7r4Lz9j60JQNC8Tr0ZvdfvuJuosbfDdmhjO6/HPm7OodKWAAACq7qiE+cTt8/sVMhRwIAQHBzO6nyyiuv6JdfflH58uVVpUoVFStWzOH9HTt2eC04BB4aPUIL3X8FnlBOqniz+69AQfdf/kP3X478nUjioQ0AAAAAQFHhdlLltttu80EYKCpo9AgthVWpEhEREbSVKt4WiI29haUoVKq4i6SK/1Cp4sjf3y08tAEAAAAAKCrcTqqMGjXKF3GgiKDRI7RQqRJ4bPsjPDzc36EUumCsVIH/UKniyN+JJB7aAAAAAAAUFR79Oj9x4oTeeustjRw5UsePH5d0sduvw4cPezU4BB4aPUILY6oEnkBs7C0s3hyoHqBSxZG/v1t4aAMAAAAAUFS4Xany7bffqk2bNkpKStL+/ft1//33Kzk5WcuXL9eBAwc0b948X8SJAEGjR2ihUiXwBGJjb2GhUgXeRKWKI39/t/DQBgAAAACgqHD71/mQIUPUt29f/fzzz4qJibFP79Chg7788kuvBofAY2ukpuEjNLjaiFeQ88HVSpXc1hEWFubw2awNpe42QubVyBooArGxt7C4U6lC8je0ufKdZLvenc0biN8F3kpyU6kCAAAAAEDBuP3rddu2berfv3+O6RUqVFBqaqpXgkLgsjVuh2qjbqhx9cnhgpwPrlaq5NVNT9bPZj0/3X3yuSic2/5+mtyfAr1SJdDPnVDiyrGwWCzKzMzMtWoj0I6nt7pjpFIFAAAAAICCcbv7r5iYGJ08eTLH9L1796pUqVJeCQqBqzC6g0LgKMzuv/KqVMmv+6/cKlU86f4r0BMWRSFGXwn0MVV40r5oCQsLU2ZmZq5VG4F2nXkrqZJXpYq/kypcPwAAAACAosDtX6+dO3fWs88+q/T0dEkXn2w8ePCgRowYodtvv93rASKw8CRpaCmsgeojIiIYqN5F/u6ix5+KQlKF78eiI79KlUD/LvAU3X8BAAAAAFAwbv96feGFF/TXX3+pdOnSOnfunFq0aKEaNWooISFB48eP90WMCCA0eoQWBqoPPMHc2Jsfd7r/8sf3FE/aFy35VaoE+neBp+j+CwAAAACAgnG7+6/ExERt2LBBa9as0Y4dO2S1WnXVVVepTZs2vogPAYZGj9BSWJUqrgxUnxsqVUKHO5Uq/vB/7d15fBT14f/x9+YOIQSEkhBBDPWiRkWDIh4FLyhoq9WH9USoPbwBI57YCh5gqeWBiIBYFfoVi/UrtVYpEq3gwQ1BqFD0qyioQSoiQWhDjvn9kd9udzd7zG5md459PR8PHprZ2ZnPzmdmkv185v35kFRxF39SJdL54oZ7QbJIqgAAAAAA0D4Jd6p88sknOvzww3X22Wfr7LPPTkWZ4GA0emQWkirO4+XG3nicPlE9SRV38SdVcnLa/ink5c4xkioAAAAAALRPwq0/ffr00RlnnKEnnnhCX3/9dSrKBAej0SOzkFRxHjd0/KQKc6rASrHmVPEykioAAAAAALRPwt9e165dq4EDB+rBBx9UeXm5LrzwQr3wwgtqaGhIRfngMDR6ZBaSKs7jho6fVGFOFVgpKytLTU1NGVdnJFUAAAAAAGifhFsSTjrpJP32t7/V9u3b9be//U3du3fXddddp+7du+vaa69NRRnhIDQaZpZ0dqrESqrE61QJfm/w+omW3+fzOb5TJd7x8LJEkip0qiCeWBPVe1mspIrdnSqZVhcAAAAAAHdK+turz+fTWWedpSeffFKvv/66+vTpo3nz5llZNjgQw9tklvD6TkWHg3/4r1hJlXjDfwW/N3h9L56vbuj4SRWnz6nixfPNyzJ1+K9YSRW7h//KtLoAAAAAALhT0p0qO3bs0JQpU9SvXz+dfPLJKioq0owZM6wsGxyIJ0kzS3B9p2poLCclVdzA7qfJ7URSBVYiqRLK7nsL1w8AAAAAwC1yEn3DnDlzNH/+fL377rs6+uijddVVV+mll17S4YcfnoLiwWkY8zyzBD857G9ws7rRyzAM5eTkOGKiejdww7wvqZJIp4odvHi+eVmmJlWYqB4AAAAAgPZJuFPlgQce0OWXX65HH31U/fr1S0GR4GQ0emSW4Ma3VA0N46SJ6t3A7smk7eT04b+8eL55WaYmVZioHgAAAACA9km4U2X79u186c1g/kYPfwM754K3RUqqpGIf8Yb/IqnyX3Y/TW4nkiqwEkmVUHbfW3hoAwAAAADgFqY6VTZu3Gh6g8cff3zShYHz+Rs9/A3s2dnZdhcJKURSxXnsfprcTiRVYLVMrDMnJ1X8f1PQQQkAAAAAcDJTnSr9+vULaVCN9UW3ubnZmpLBkVpaWgLzX9Cp4n3hE9WnosEtFRPVNzU1BbbttQZTuyeTtlMiSRU7GmRpCHafTExHOH2ien/HONcSAAAAAMCpTLUkbNu2TR9//LG2bdumhQsXqqKiQjNnzlRtba1qa2s1c+ZMffe739WLL76Y6vLCZv6GjlSlFuAswQ1b0eq8vY1f/uG/kk2qhKcSgsvpxYa5TL72SKrAjESu+0ycxyNWUsXu4b/4+wIAAAAA4Aamkiq9e/cO/P+ll16q6dOna/jw4YFlxx9/vHr16qVf/epXuuiiiywvJJwj+EnSTH1aPpOYSaok2pAcPh9PcPopEv9+Y70enlTxl9OLjdyZfO05PanixfPNjRKpB5Iq/2X3vSX87wuSsAAAAAAAp0q4JWHTpk2qqKhos7yiokKbN2+2pFBwLp4kzSypSKqEb8dMUiXWZNIkVTKH05MqXjzf3IikSmwkVQAAAAAAaJ+EO1X69u2rBx98UP/5z38CyxoaGvTggw+qb9++lhYOzkNSJbOkIqkSvh0zc6o0NzeTVPn/MvnaSySpYke9e/F8cyOSKrG5JakCAAAAAIBTJdySMHv2bL3++uvq1auXzj33XJ177rnq2bOnampqNHv27FSUEQ7if6qXJ0kzQ/ATzdEaupJJqgRvx59UidepEiupEvze4O17MTngn8Q5Ezl9+C8vnm9uRFIltmjXkd3Hwd/BRacKkLjJkyfL5/Np7NixgWWGYWjChAkqLy9XYWGhBg8erPfff9++QgIAAAAeknCnyimnnKJt27bpoYce0vHHH6/jjjtOkyZN0rZt23TKKaekooxwEBo9Mktw41u0jrRkkirB2/EnVWJ1mjQ1NcXsdAl+b/D2vZgcCO+UyiSJDP9FUiVzJVIPmVhnsa4jOztseWgDSM6aNWs0Z84cHX/88SHLp0yZoqlTp2rGjBlas2aNysrKdN5552nfvn02lRQAAADwDlMT1Yfr0KGDfvnLX1pdFrgAw3NkFob/cp5MvvZIqsAMhv+Kzan3Rf6+ABL37bff6qqrrtKTTz6pBx98MLDcMAxNmzZN48eP18UXXyxJmjdvnkpLS/Xcc8/puuuus6vIAAAAgCck1akiSZs3b9b27dt18ODBkOU/+tGP2l0oOBcTyWYWJqp3nky+9pw+Ub1TG6szDcN/xebU+yJ/XwCJu+mmm3T++efr3HPPDelU2bZtm3bu3KkhQ4YEluXn52vQoEFavnx51E6VhoYGNTQ0BH6ur6+XJDU2NqqxsTFFnyI6/z7zs9reE5IpT3529HuLlZ8v2n6sLLPV9ZHKMvvrLx3HONn9pOM4u/H8i7YNO+4HsA716A3Uo3dQl86SSD0k3Kny8ccf68c//rE2bdoU8sXX/wW9ubk50U3CRXiSNLOkK6mSk5NDUsWkTL72nJ5U8eL55kYkVWJz6nnK3xdAYhYsWKD169drzZo1bV7buXOnJKm0tDRkeWlpqT799NOo25w8ebImTpzYZvmSJUvUoUOHdpY4eQ/0b3tPWLRoUcLbmRJjpOpktpfofqwss5XltXo/0bZVU1OT8LYS3Yfk3OPsxvMvGivrEvahHr2BevQO6tIZDhw4YHrdhDtVxowZo4qKCr3++uvq06ePVq9erd27d+u2227TI488kujm4DI8SZpZSKo4TyZfe05PqnjxfHMjkiqxOfU85e8LwLwdO3ZozJgxWrJkiQoKCqKuF36tx7v+7777blVXVwd+rq+vV69evTRkyBB16tSp/QVPUGNjo2pqavSrtVlqaAkt9z8mDE14e5UTXov6WjLbS3Q/VpbZyvJavZ/wbeVnGXqgf4vOO+885ebmJlW+ePsI5tTj7MbzL5z/mrSyLpF+1KM3UI/eQV06iz+pbUbCnSorVqzQ3//+d33nO98JPFF4xhlnaPLkyRo9erRqa2sT3SRchCdJMwtzqjhPJl97JFVgBkmV2Jx6nvL3BWDeunXrtGvXLlVVVQWWNTc366233tKMGTO0detWSa2JlR49egTW2bVrV5v0SrD8/Hzl5+e3WZ6bm2vrl/yGFp8amkN/rydTnvBttHd7ie7HyjJbXR/pKrNV5ba6LtNxnN14/kVj9z0B1qAevYF69A7q0hkSqYOEv1U3NzerY8eOkqRu3brpiy++kCT17t078Ac8vIsnSTMLSRXnyeRrj6QKzCCpEptTz1P+vgDMO+ecc7Rp0yZt2LAh8K9///666qqrtGHDBvXp00dlZWUhw0gcPHhQy5Yt02mnnWZjyQEAAABvSDipUllZqY0bN6pPnz4aMGCApkyZory8PM2ZM0d9+vRJRRnhIDxJmlmCGxztTKo0NTWRVPn/MvnaI6kCMxKph0ysM6d+Zv6+AMwrLi5WZWVlyLKioiJ17do1sHzs2LGaNGmSjjzySB155JGaNGmSOnTooCuvvNKOIgMAAACeknCnyr333qv9+/dLkh588EFdcMEFOvPMM9W1a1c9//zzlhcQzkKjR+ZJdaeKP6nC8F/mZPK15/ROFacmADINw3/F5tT7In9fANa644479O9//1s33nij9uzZowEDBmjJkiUqLi62u2gAAACA6yXcqTJ06H8nOOvTp482b96sr7/+Wl26dKExKQMwPEfmStXwX/5lDP9lTiZfe04f/supjdWZhuG/YnPqfZG/L4D2Wbp0acjPPp9PEyZM0IQJE2wpDwAAAOBlCXeqRHLIIYdYsRm4AE+S2s/f4JTuRrFUJVX8y0iqmJPJ1x5JFZhBUiU2p94X+fsCAAAAAOAWtn6rfuutt/TDH/5Q5eXl8vl8eumll+K+Z9myZaqqqlJBQYH69Omj2bNnp76gCOBJUvvZdexJqjhDJl97JFVgBkmV2Jx6X+TvCwAAAACAW9ja+rN//36dcMIJmjFjhqn1t23bpuHDh+vMM89UbW2t7rnnHo0ePVovvvhiiksKP54ktZ9dx56kijNk8rWXSFLFjnr34vnmRiRVYnPqecrfFwAAAAAAt7Bk+K9kDRs2TMOGDTO9/uzZs3XYYYdp2rRpkqS+fftq7dq1euSRR3TJJZekqJQIxpOk9iOpEip8qCeSKt7l9KSKF883NyKpEptTz1P+vgAAAAAAuIWtnSqJWrFihYYMGRKybOjQoXrqqafU2Nio3NzcNu9paGhQQ0ND4Of6+vqUl9MqzzzzjJYtWxb4uWfPnnrwwQcjrltfX6+xY8cGnu6srKzUuHHjtGHDhkAnVLCsrCw9+uijKi4uNlWWVatWadasWdq4caPOOecc5eXlady4cerUqZMjn3j1sry8PF177bXKzs7WsGHDdNlll+lvf/ubBgwYYMn8RtXV1fr6668lSR988EHIfu+880517tw5ZP1vv/1WPXv2TKj8Y8eOVVFRkSRp69atOuecc5Sfnx91/SeffFIDBgyI+HqnTp3arP+nP/1J//znP7Vy5Url5CR2m/v66681atSohN4jScXFxXrssccCP99777367LPP1NTUlPC2YsnLy9PkyZM1d+5cSVJ2dramT58eOJ7hnnvuOV155ZUxt3n77bfrm2++0eOPP668vDxLy2vGr3/9a3322Wcx70mffPKJli5dGvE+Hy4/P99Uo3FLS0ubus7OztZjjz2mDh06hCx/4IEH9NFHHwV+HjBggG644YY220vmftjY2Bgoh8/n0+9+97uQa3n58uWaM2eOfD6fJk2apB49ekhqbYS+4YYblJubG3LupdqiRYtUW1ur8ePHS5KefvppvfXWW+rcuXPI75u7775bdXV1Ovnkk/XLX/5SN954oxobGyVJkyZNUnl5ecTtRzpnW1padMMNN4T8Po8mkXtSUVFR1HOqvr6+zflxyy23qKqqytS2I2lpadHzzz+vK664IqH3/eUvf9H+/fsDP2dnZ4ecM/7z4oMPPtCkSZNibmv79u0aOXJkxNd27NgR2G5BQUFKh1i95ZZbtG/fvsDP7733noYNG6a8vDxVV1cH7gUdO3Zsk2h+4YUX9Pnnn2v06NH605/+pMsvvzxl5QQAAAAAIJyrOlV27typ0tLSkGWlpaVqamrSV199FWhoCjZ58mRNnDgxXUW01KJFizR9+vRAY/OIESOirrt7927l5uZq8uTJkqRrrrlG48aN0z/+8Q99//vf10UXXRSy/h133KE9e/aY7lSpra3VsGHDNHXqVHXp0kUnnHCCvv32W0lq0/iI1HrmmWd04MABffnll5o2bZouu+wy/f3vf1fv3r0t6VTZsmWL5s+fL0khjY0TJkwIaQAL1rFjR9Pb/+1vfxs4d/z7KCoqitoIPmrUKP34xz+Oug9/Wf2qqqr0+uuvS2pteCwsLDRdNkl67bXXTDXchgtvBF6/fr2effbZhPcfzw033KCrrroq8PPtt9+uPXv2tKtT5R//+IeKi4t14MABWzpV1q5dq/Ly8pj3pG3btumnP/2punXrFnd7ZpOLL7zwgv7973+HLKuurtbevXvb3NdWrFihZ599NvDzqFGj2nSqJJsAWLhwYaAc9913n3bt2hVyLa9fv14XXHCB1q9fr88++yzwu66lpUU7duxI+1BJ7777rv74xz8GOlUWLVqkGTNm6Kc//WnIeu+9956effZZjRw5UiNGjNA333yjJ554QlOnTtWOHTuidqrMnz+/zTnb2NionTt36plnnjFVRrP3pE2bNkXt0F20aJH+85//BH5+5ZVXtHHjxnZ1qjQ3NyfVqbJs2TJNnz498PMf//hHHThwQFLrPfXzzz8PdKocf/zxcTuGS0pKIi5/5513dPDgQUnSVVddldJUy4cffqjnnnsu8LPP51Pnzp1VWVkZ8jsi+H7n98Ybb2jdunW64YYb9MILL9CpAgAAAABIK1d1qkhq8+XeP0REtC/9d999t6qrqwM/19fXq1evXqkroIVaWlrUrVu3QMN2dnZ2zHU7dOgQaIjzPy1tGIY6derUprG9Q4cOCTXEtbS0qKSkJLCdvLw8SxrwkbiCggIVFBSosbExUIeGYVg2XEpubm7Euo22PFGJnjvZ2dkx1w+/Lnw+X7vKWVRUFLWDIpbwzoicnJyUXCPh2y0sLIxZ983NzXG3mZubG3c7qZSTkxP3ntTS0mK6g8psWqSwsLDNNgsLCyOWw0x9JptUCS5Hhw4d2tRDS0uLOnfurKKiopCyGYYRuBekU3hDe/jvKj//PcPn8wXq75BDDmnzOcJFOmf9n9XqayrWtd6hQ4eQzrVOnToFUnzJMgwjqU4wwzBCzlX/7wFJIcfTMAwVFxcnfZyCO6MKCgpS2qkS7XdB+PJIHb3+YdtaWlqYfwUAAAAAkHau6lQpKyvTzp07Q5bt2rVLOTk56tq1a8T35OfnR30K1ekSacyItm608eITHbPcqWOwZ7LgOqRhyX52dUj4GxajMdOp4r++7TyH4t2T0nUPijV3UDxWlDFSPUSba8Ku+UDCO4+ife7gsgavE6+uI52zTpj7xIprpKWlJal7RazPH/67wKrj5P+8dg/xGe16zMrKsvSBAgAAEOrwu14N+Tk/29CUU2wqDAAADuOqyTAGDhyompqakGVLlixR//79TY2z7zaJNGZEWzfa8qysrISTKnY3rCBUcB3SqZK54l3LZjpVzGwn1eLtP133oPYcByvKGGn//u2Gv2bXfTm84d5MOYLXSeacdcLvICuukWTv1bE+f/jvAquOk933BL9InXAkVQAAAAAAdrK1heLbb7/Vhg0btGHDBkmtY+Zv2LBB27dvl9Q6dNc111wTWP/666/Xp59+qurqam3ZskVPP/20nnrqKY0bN86O4qecFUmVaMtJqrhfcB3ytK4z2FEHyTz1n8x2Us3pSRUzrGjQjrT/aEmV4GOSzrrzpwQilSPWe9qTVHHC7yArrpFk79WxPn/47wIrkyqpOq8SKWe0a4KkCgAAAADALrYO/7V27VqdddZZgZ/9c5+MHDlSc+fOVV1dXaCDRZIqKiq0aNEi3XrrrXr88cdVXl6u6dOnm56U2G0SaXQgqZJ5SKo4i7+BL90NvyRV0luOWKyo/2SSKuk+95IZYoqkSiuSKq0SKae/HMHrk1QBAAAAANjJ1k6VwYMHx3zCcO7cuW2WDRo0SOvXr09hqdyJpErmIaniLHYlPUiqpLccsdiVVEl33YUnVcy+h6QKSRU/kioAAAAAADcjeuARJFUyD0kVZ7Er6UFSJb3liMXOpEo6646kSvJIqrRKJqkS/n6SKgAAAAAAu9BK7hEkVTIPSRVnIanSPiRVou/fLUmVWOUgqdKKpEorkioAAAAAADejU8UjSKpknlQkVZzQcOlWTk2qNDU1WbKdVCOpEn3/bkmqxCpHIkmVSOesE34HkVSxDkkVAAAAAICb0UruEXSqZJ5UdKpQz8lzaqcKw39ZW45YrCijWzpVEv29wvBfrehUaWVFp4p/OZ0qAAAAAIB0o/XUIxj+K/OkYvgv6jl5DP/VPl4Y/iuZCdzN7J/hv5xxb2L4L+sw/BcAAAAAwM3oVPEIkiqZh6SKs7g1qeJv3CSpYq4csSQzgbuZ/TsxqZLK4b9IqkR+H0mV0Pcz/BcAAAAAwC60nnoESZXMQ1LFWdyaVLEr7RDOC0kVJqonqRIPSZVWJFUAAAAAAG5Gp4pHkFTJPCRVnMWtSRW70g7hvJBUYaJ6kirxkFRpRVIFAAAAAOBmtJ56BEmVzENSxVlIqrQPSZXo+8/EpEq0Y2AnkirWIakCAAAAAHAzOlU8gqRK5vE/pSuRVHECJyZVDMNQU1NTzPeTVEmsHLGQVLEmqdLS0tKmodwJ9yaSKtYhqQIAAAAAcDNaTz0iWiNXtEa+ZDpV7H5KGKGC68Oqp3Wp5+T5n5pOt3jpgHjXuf+Jb7vK7xfcSRhJus7NaOUws28rGrQj1YN/u+Fl89/f092pEisB6S9H+DrB9ZdMp4oTkipWXCNmrslo74v2+YOPZ7QUUTJSmVRJ5HqOld6iUwUAAAAAYAc6VTwiWkNKtEa+ZIb/svspYURnVcMS9Zy8eJ0CqRIvqRLvOvc3btpVfr94DdbpOjejlcPM/dKKhv9I9RDceRJcjuDOlnR2iMVKQPrLEb5OcP2ZGeotWlrHTlZcI5E6jMy+L9rnDz6eVnY+prKzLpHrub33OAAAAAAArEbrqUcw/FdmY/gv+zlx+C8z5wXDfyVWjlisSqq4YfiveL9XwtdJdPgvJ3aqMPyXddo7/FfwdkiqAAAAAADSjdZTFzE7CbCZ5UxU7y1MVG+/VE0Wnch+w5k5L5ioPrFyxMJE9dGvgUQmqo903jrh3sRE9dZp70T1wdshqQIAAAAASDc6VVzE7CTAZpaTVPEWkir2S9XT4onsNxxJFevLEQsT1ZNUiYekSiuSKgAAAAAAN6P11EVIqiAakir2I6mSHLP7J6lCUsXuexNJFeuQVAEAAAAAuBmdKi5CUgXRkFSxH0mV5JjdP0kVkip235vsTqpEO7dIqpBUAQAAAACkF62nLhKvYSGRpEoynSp2PyWM6Kx6Wpd6Tl5WVlagDtLZABzrKW4zDY7+1EFw+dPJf875fL64De3pSqpEKoeZfVs1UX14Pfi3G142//093Z0qsRKQ/nKErxNcf2Y6VZyYVLHiGjEMI+m6MtOpEi1FlOz+UnVPSOR6bu89DgAAAAAAq9Gp4iLxhsBIJKmSzPBfdj8ljOisaliinpMXq0E5lWI1UJvpbDPbqZEqZjt10nVutqfh3Ip6j1QPwZ0nwWUL7mxJZ4dYrARktI7F4PozM/yXE5MqVlwjkTqM2iv4eFrZ+ZjKzrpEruf23uMAAAAAALAaracuQlIF0ZBUsR9JleS4JaliBkkVkirxtCepEg1JFZIqAAAAAID0olPFRUiqIBqSKvYjqZIcNyRVzN4rrZqonqQKSZVEkFQhqQIAAAAASC9aT12EieoRjVWdKtRz8pioPjlm95+uYxprovh4Mmmi+ni/V8LXCf6ZiepTl1Sx8jgxUT0AAAAAAJHReuoi8ZIqiQz/lUxSxe6hVxCdVU/rUs/JC76m0nkc490X4p0X/rKmO+2Q6P7TdUwjlcPsvq1KqkTbf/hrdtWdP2UQvs9Y10Dwz2bq2onDf1lxnFORrEjVvSeV51Ui5WzvPQ4AAAAAAKvRqeIiJFUQDUkV+5FUSQ5JFfP7d0pSJVo5SarER1KlFUkVAAAAAICb0XrqIkxUj2iYqN5+TFSfHLNzuqTr3Iw2p4mZ+rSi3t0wUb0U+TgxUX18TFTfKpHrmYnqAQAAAABOQ6eKizBRPaKxqmGJek4eE9Unxw0T1ZttALai3t0wUb0U+TgxUX18kTqM2ouJ6hn+CwAAAACQXrSeughJFURDUsV+Tk2qSDLVWUFSpRVJFXNSmVRx6pwqJFWsQ1IFAAAAAOBmdKq4CEkVRENSxX5OTaoE/zcSkiqhSKqYk6qkSvD7g5FUiY6kCkkVAAAAAEB60XrqIiRVEA1JFfs5OakSLxVAUuW/SKqYk6qkSrR0FUmV6EiqkFQBAAAAAKQXnSoukmhSxd94Q1LF+0iq2I+kSnK8lFSxolOFpApJlUSRVCGpAgAAAABIL1pPXSTe073BDRT+xq1oDVHJJFXsbtBCdFZ1qlDPyQu+ptJ5HM089R8vAeLv1LCjU8Xs/tN1TCOVw+y+rehMi7X/8NfsrLtI+4x1DQT/nMw564R7kxXHORXJilTde1J5XiVSznjnC0kVAAAAAEC60XrqYOGNc7Ge5A5vzPOvG2v4r0STKnYPvYK2/HVi1dO61HPygq+pdCZ+zDz17+SJ6v3nXLy0RbrOzUjlsHv4L//+w8sWLcGSDpGOU/Cy4PryLw8e/ivRc9YJ9yarhv+yuq5Sde9JZQIqkfqMd48jqQIAAAAASDc6VRwsUoOV2aSKf91Yw3+RVHG/4CFfSKrYK/iaSufcNFYkVewc/sstSRU7J6r37z9aUsWOukskqRKemoz3uyz4v8HL7b43WTX8l9V1lap7D0kVAAAAAAAio/XURRKZqN6/LhPVZwYmqrcfE9Unx2ynTrrOTSaqN4eJ6pPDRPWtErmemageAAAAAOA0dKq4SCIT1fvXjZVUYaJ677CqYYl6Th4T1SfHSxPVpyqpwkT13kqqMFG9NRPV++uD4b8AAAAAAOlG66mLkFRBNCRV7EdSJTkkVUKRVCGpkqhMTar4fD41NzeTVAEAAAAApF2O3QWAeSRVEA1JFfuRVEmOE5MqTU1NIcvMNgBb0alCUoWkSqIyNamSlZWl5uZmkioAALjc4Xe9GnH5Jw+fn+aSAABgHq2nLkJSBdGQVLEfSZXkeCmpYkVnGkkVkiqJIqlCUgUAAAAAkF50qrgISRVEQ1LFfiRVkuPEpEqyc6qQVInesRj8M0kVkiokVQAAAAAAbkbrqYvEe7o3uIHCv260hqhkkip2N2ghOqs6Vajn5AVfU+k8jmae+o+XAPF3atjRqWJ2/+k6ppHKYXbfViVVoh2H8NfsrLtI+4x2Dfgbv4N/TvScdcK9yYrjbNW9Oliq7j2pPK8SKWesTpWmpiaSKgAAAACAtKP11EUY/gvRMPyX/Rj+KzluHv4r2jBd7RGrHtw6/Je/U4Xhvxj+y4/hvwAAAAAAbmZ7p8rMmTNVUVGhgoICVVVV6e2334667tKlSwONb8H//vnPf6axxPaxc/gv/3vgTAz/ZT+G/0qOW4f/irSeFfUeqx7cOvyXv/Gb4b8Y/suP4b8AAAAAAG5mawvF888/r7Fjx2r8+PGqra3VmWeeqWHDhmn79u0x37d161bV1dUF/h155JFpKrG97EyqwNlIqtiPpEpy3JpUibQeSRWSKvGQVGlFUgUAAAAA4Ga2dqpMnTpVP/vZz/Tzn/9cffv21bRp09SrVy/NmjUr5vu6d++usrKywL/s7Ow0ldhedidV4FwkVexHUiU5JFVCkVQhqZIokir8LQMAAAAASC/bWigOHjyodevWaciQISHLhwwZouXLl8d874knnqgePXronHPO0Ztvvhlz3YaGBtXX14f8cyuSKoiGpIr9SKokh6RKKJIq3k+qWH2dkVThbxkAAAAAQHrZ1qny1Vdfqbm5WaWlpSHLS0tLtXPnzojv6dGjh+bMmaMXX3xRCxcu1NFHH61zzjlHb731VtT9TJ48WSUlJYF/vXr1svRzpBNJFURDUsV+JFWS46WkihWdKiRVvJ9UkWJfk4kiqcLfMgAAAACA9LK99TT8y3+sxsijjz5av/jFL3TSSSdp4MCBmjlzps4//3w98sgjUbd/9913a+/evYF/O3bssLT86WRnUoVGC2cjqWI/kirJ8VJSxYrONDcmVfzljZVUaWpqcn1SxYr9R+s0ao9MTKr4z4empqaUpH8Ap5s8ebJOPvlkFRcXq3v37rrooou0devWkHUMw9CECRNUXl6uwsJCDR48WO+//75NJQYAAAC8xbZOlW7duik7O7tNKmXXrl1t0iuxnHrqqfrwww+jvp6fn69OnTqF/HOreA1RwQ0p/nWjNe4y/Je3WJVUccLT4G4VfE2l8ziaaaCO11nh71Sx455gdv/pOqaRyhFp32bXs2L/0V6zs+4iddxHuwb8iYLgnxM9Z71ybzJzTSYqVfeeVJ5XiZQzXlJF4sEPZJ5ly5bppptu0sqVK1VTU6OmpiYNGTJE+/fvD6wzZcoUTZ06VTNmzNCaNWtUVlam8847T/v27bOx5AAAAIA32NZCkZeXp6qqKtXU1IQsr6mp0WmnnWZ6O7W1terRo4fVxbNdpKdykx3+K9LToIk+gWr3E8KIjeG/7MfwX8nx0vBfmThRfXC9eH34Lysw/Fer9g7/5U9o0amCTLV48WKNGjVKxx57rE444QQ988wz2r59u9atWyep9ZqYNm2axo8fr4svvliVlZWaN2+eDhw4oOeee87m0gMAAADul2PnzqurqzVixAj1799fAwcO1Jw5c7R9+3Zdf/31klqH7vr888/1hz/8QZI0bdo0HX744Tr22GN18OBBPfvss3rxxRf14osv2vkxUsLsk9HB60ca/kuK3CFCUsVbGP7Lfgz/lRwvDf9lx0T1diVV/GUJrhevT1RvBYb/amXlRPX+7WVnZ1taRsBN9u7dK0k65JBDJEnbtm3Tzp07NWTIkMA6+fn5GjRokJYvX67rrrsu4nYaGhrU0NAQ+Lm+vl6S1NjYqMbGxlQVPyr/PvOz2t4DkilPfnb0e5qVny/afqwss9X1kcoy++svHcc42f2k4zh74fxLRV1G2o+fHfedTOA/rhxfd6MevYO6dJZE6sHWTpXLLrtMu3fv1v3336+6ujpVVlZq0aJF6t27tySprq5O27dvD6x/8OBBjRs3Tp9//rkKCwt17LHH6tVXX9Xw4cPt+ggpY1VSJRomqvcWq1IGJFWS59SkSrzOEpIqodyWVMnJyfFcUiVVQ6s5gf9zkFSxbqJ6uzqEAacwDEPV1dU644wzVFlZKUmB4ZXDh1QuLS3Vp59+GnVbkydP1sSJE9ssX7JkiTp06GBhqRPzQP+294BFixYlvJ0pp0R/LZntJbofK8tsZXmt3k+0bYWPUNEeVtdlOo6zl84/K+sy1n6sPs8Ryup6hD2oR++gLp3hwIEDpte1tVNFkm688UbdeOONEV+bO3duyM933HGH7rjjjjSUyn5WJlUiIaniLVY1KpFUSZ5TkyrZ2dkkVRLgtqSK3RPVpyKpkp2d7emkSrxrMlGZnlSx+ngCbnPzzTdr48aNeuedd9q8Fn6dxbuX3n333aqurg78XF9fr169emnIkCG2zEvZ2Niompoa/WptlhpaQsv9jwlDE95e5YTXor6WzPYS3Y+VZbayvFbvJ3xb+VmGHujfovPOO0+5ublJlS/ePoI59Th74fxLRV1G2o+f1ec5WvnvrVbXI9KLevQO6tJZ/EltM2zvVEFkJFWQCJIq9nNqUiVSA3Uwkiqh2pNUsaJThTlVInc6eCmpEu+aTFSmJ1WsPp6Am9xyyy16+eWX9dZbb6lnz56B5WVlZZJaEyvBc0/u2rWrTXolWH5+vvLz89ssz83NtfVLfkOLTw3Nofe2ZMoTvo32bi/R/VhZZqvrI11ltqrcVtdlOo6z184/p5YZ5tl9b4c1qEfvoC6dIZE6cH8LhUc5LalCg4WzkVSxH0mV5HgpqWJFZ5pXkypNTU0kVURSxa+9SRX/+dDU1ERSBRnJMAzdfPPNWrhwof7+97+roqIi5PWKigqVlZWFDCNx8OBBLVu2TKeddlq6iwsAAAB4DkkVh0qmUyV4fYb/yixWpQy88jS4HYKvqXQeRzMN1PE6K+ya7DyR/afrmJqdzyNV837EOg7hr9lZd/59Bn/maNdA8NwXkT5HsGjnrFfuTWauyUSl6t6TyvMqkYnl/Z1ykZYz/Bcy1U033aTnnntOf/nLX1RcXByYQ6WkpESFhYXy+XwaO3asJk2apCOPPFJHHnmkJk2apA4dOujKK6+0ufQAAACA+9Gp4lBOG/7LC08IexnDf9nPP8SRxPBfifDS8F92TFTP8F/uwvBfrdo7/Jc/ocXwX8hUs2bNkiQNHjw4ZPkzzzyjUaNGSWqdi/Lf//63brzxRu3Zs0cDBgzQkiVLVFxcnObSAgAAAN5Dp4pDOW34Lzgbw3/ZL/hpaob/Ms9Lw38xUT0T1cfD8F+tmKgeaB8z16bP59OECRM0YcKE1BcIAAAAyDDuf+zTo5yWVIGzWdWoSlIleU6dqD4nJ4ekSgJIqpiTyqRKTk6Op5Mq8a7JRGViUsW/vLm52fLjCQAAAABAPO5vofAokipIBEkV+zFRfXJIqoQiqUJSJVEkVUiqAAAAAADSi04VhyKpArP85wpJFXs5NanCnCqJaW9Spb1lJKnCnCqJCj6eVt573JJUYU4VAAAAAEC6ub+FwqNIqsAMfyMmSRX7kVRJjteSKu0tI0kVkiqJSlX9OzWp4v9/kioAAAAAALvQqeJQkRrxYjW2ha8fr4HUrgZUWMtfjyRV7JeqIXgS2W84s0kVf6cKSZXoSRUz92Orhv8Kr4fgzohISRU77ueJJFX8nSqR1gtHUiVxqap/pyZVgu8ZJFUAAAAAAHZwfwuFR0V6ijNWw3n4+vEa2RNthKfBwpn89UhSxX6pmiw6kf2GM5tU8SdFSKpET6qYuR9bNVF9pJRGpH0G152Tkyo+n09NTU0R1wtHUiVxqap/pyZVgu8ZTU1NJFUAAAAAAGlHp4pDJTP8V3hSheG/vM9fj1Y1qnnlaXA7BF9T6TyOZoZSitdZYWdSxez+03VMI5XD7P04VUmVaK/ZWXf+fYYnUiJdA5GSKomes165N5m5JhOVqvpP5XmVSH3GOu8Z/gsAAAAAYIccuwuAyJw2Ub0XnhD2In89WtX4xfBfyXPqRPU5OTlMVJ+A9k5Ub0VSJdMnqs/JyfF0p0q8azJRqap/twz/ZfXxBAAA7nX4Xa9GXP7Jw+e7cj8AAOdyfwuFRzFRPczw1yPDf9mPieqT45bhv8xOVG9FUoWJ6hn+KxGZNlF98D2DpAoAAAAAwA50qjiU05IqcCZ/PTJRvf2cmlQxM1G9G5IqUnoScyRVzEllUiUThv8iqcJE9QAAAAAA93J/C4VHkVSBGSRVnIOkSnLs7tQJR1LFHJIqyUkmqRLvs5NUIakCAAAAAEgvOlUciqQKzCCp4hwkVZJjd6dOuPYkVazoVCGpQlIl0ntifXaSKiRVAAAAAADp5f4WCo9yWlKFBgtnsrpRiaRK8kiqJMdsp066ytaepIoVnWleTao0NTWRVBFJFT+rkipNTU0kVQAAAAAAaUenikMl06kSvD7Df2WG4E4VK+rTK0+D2yH4mkrncTTTQB1vAnh/p4od9wS79x8uUjnM3o+tGv4rVlIl+DU7j51/n8GfOdo14L9PRVovXLRz1iv3JjPXZKT3xPrsqar/VJ5XidRnrPOe4b8AAAAAAHZwfwuFRyUz/Ffw+gz/lRmCx5S3oj698jS4HYKvqXQeRzNDKcU6N/xlteueYPf+w0Uqh9n7sVUT1cdKqgS/Zuex8+8z+DNHuwb896lI64WLds565d5k5pqM9J5Ynz1V9Z/K8yqR+ox13jP8FwAAAADADnSqOBRJFZjhH1aHpIr9SKokx+79h2tPUiVV+4/2mh3Hzt943Z6kSjJD1nnl3kRSpRVJFQAAAACAm7m/hcKjnDZRvReeEPYi/5O6OTk5TFRvM6dOVJ+Tk+OJierTeTyTnajeCrHqIdLcEumeqD68vpKZqD7e9iPdz7zUqRLvmoz0Hiaqjz5RfaLHEwAAAACA9nJ/C4VHOW2iejgTE9U7BxPVJ8fuTp1w7Zmo3grxJqoPL1e6J6oPHnopkYnqg4f/ioWJ6iO/x2vDf1k1UT1JFQAAAACAHehUcSinJVXgTFY3KpFUSZ5TkyrxOtzs7tSwu1MnnJOTKuHsSKoED72UqqRKJgz/ZWVSJVXcklRhThUAAAAAQLq5v4XCo5yWVKHBwplIqjgHSZXkmO3USVfZnJxU8Zcl+P/dklRpamoiqaLUJFVSxQ1JFSvnFAMAAAAAwCw6VRyKiephhtUT9XrlaXA7MFF9cuzefzgnT1Qfzo5jF77PZCaqj7f9TEiqWDlRfaowUT0AAAAAAJG5v4XCo5IZ/it4fYb/ygzBw39ZUZ9eeRrcDsHXVDqPY7z7QrxzIzh5YMc9we79h4tUjkTvx1bvPxo7jl34PoOPTbRrwH+fMnNNRDtnvXJvMnNNRnqP15IqiXym8HIEn4MM/wUAAAAAsAOdKg5FUgVmkFRxDqcmVXJyckiqJICkSmL7JKmSGDPXZKT3kFSJnlRJ9HgCAAAAANBe7m+h8CiSKjCDpIpzkFRJjt37D0dSJbF9klRJDEmVViRVAAAAAABuRqeKQ5FUgRn+CaCtmmTcK0+D28GpSRXmVEkMSZXE9klSJTHMqdKKOVUAAAAAAG7m/hYKj0omqRLcQGF1UsULTwh7kf9JXasa3MLPI5jn8/kCDXvpfLI8VsOnmafiW1paAk9929Ew6T/n4nUMpvN4hpfDf4zirWcFM/fu4HJlZWWlNakS3KDtT6oEd574yxHcaJ7IfcowjIjDOXmtUyWR+vJip0oiv2vCyxF8zyCpAgA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" ] @@ -558,120 +559,6 @@ "# sim.visualize_chain()" ] }, - { - "cell_type": "code", - "execution_count": 11, - "id": "76de5a72-cca5-4b00-9feb-7563cca9c03d", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "simulating 1/2\n", - "leader\t0.84s\n", - "emit\t0.22s\n", - "slot\t1.06s\n", - "forkchoice\t0.06s\n", - "emit_leader_block\t0.06s\n", - "prep\t0.00s\n", - "total\t1.08s\n", - "simulating 2/2\n", - "leader\t0.83s\n", - "emit\t0.18s\n", - "slot\t1.01s\n", - "forkchoice\t0.04s\n", - "emit_leader_block\t0.04s\n", - "prep\t0.00s\n", - "total\t1.03s\n", - "finished simulation, starting analysis\n", - "Processing block Block(id=5000, slot=98845, height=3776, parent=np.int64(4999), leader=np.int64(18))\n", - "honest_chain\t0.00s\n", - "honest_height_by_slot\t0.00s\n", - "prep_analysis\t0.01s\n", - "nearest_honest\t0.00s\n", - "reorg_events\t0.14s\n", - "reorg_depth\t0.01s\n", - "depth_append\t0.00s\n", - "honest_chain\t0.00s\n", - "honest_height_by_slot\t0.00s\n", - "prep_analysis\t0.00s\n", - "nearest_honest\t0.00s\n", - "reorg_events\t0.10s\n", - "reorg_depth\t0.01s\n", - "depth_append\t0.00s\n", - "CPU times: user 2.36 s, sys: 50.7 ms, total: 2.41 s\n", - "Wall time: 2.39 s\n" - ] - } - ], - "source": [ - "%%time\n", - "np.random.seed(0)\n", - "stake = np.random.pareto(10, 100)\n", - "\n", - "sims = [Sim(\n", - " params=Params(\n", - " SLOTS=100000,\n", - " f=0.05,\n", - " adversary_control = i,\n", - " honest_stake = stake\n", - " ),\n", - " network=blend_net\n", - ") for i in np.linspace(1e-3, 0.3, 2)]\n", - "\n", - "for i, sim in enumerate(sims):\n", - " print(f\"simulating {i+1}/{len(sims)}\")\n", - " sim.run(seed=0)\n", - "\n", - "print(\"finished simulation, starting analysis\")\n", - "advs = [sim.adverserial_analysis(should_plot=False) for sim in sims]" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "52ff4e83-c6f9-4933-9190-564124a479bc", - "metadata": {}, - "outputs": [ - { - 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "max_reorg_depth = max(max(a) if len(a) > 0 else 0 for a in advs)\n", - "\n", - "\n", - "heatmap = np.zeros((len(advs), max_reorg_depth), dtype=np.int64)\n", - "\n", - "for i, adv in enumerate(advs):\n", - " for depth in range(max_reorg_depth):\n", - " heatmap[i][depth] = (np.array(adv) == depth).sum()\n", - "\n", - "plt.figure(figsize=(40,40))\n", - "ax = plt.subplot(121)\n", - "im = ax.imshow(heatmap)\n", - "\n", - "_ = ax.set_yticks(np.arange(len(sims)), labels=[f\"{s.params.adversary_control:.2f}\" if i % 2 == (len(sims) - 1) % 2 else None for i, s in enumerate(sims)])\n", - "_ = ax.set_xticks(np.arange(max_reorg_depth), labels=[r if r % (max_reorg_depth // 10) == 0 else None for r in range(max_reorg_depth)])\n", - "_ = ax.set_xlabel(\"reorg depth\")\n", - "_ = ax.set_ylabel(\"adversary stake\")\n", - "\n", - "ax = plt.subplot(1,10,6)\n", - "scale = heatmap.max()\n", - "ax.imshow(np.arange(scale+1).reshape((1, scale+1)).T, extent=(1,0,1,0))\n", - "_ = ax.set_yticks(np.arange(scale+1) / scale, labels = [r if r % (scale // 10) == 0 else None for r in range(scale+1)])\n", - "_ = ax.set_xticks([], minor=False)\n", - "_ = ax.set_ylabel(\"frequency\")" - ] - }, { "cell_type": "markdown", "id": "1f552a04-a9bf-4723-b6a8-8faaa147762e", @@ -682,7 +569,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 11, "id": "f2bbb618-96c0-4a6d-b1dc-3b73ebafa5e2", "metadata": {}, "outputs": [], @@ -706,7 +593,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 12, "id": "9cca2f57-1083-446c-b083-1dd158e0e7ca", "metadata": {}, "outputs": [ @@ -714,69 +601,84 @@ "name": "stdout", "output_type": "stream", "text": [ - "simulating 1/4\n", - "leader\t1.85s\n", - "emit\t0.25s\n", - "slot\t2.10s\n", - "forkchoice\t0.03s\n", - "emit_leader_block\t0.05s\n", + "simulating 1/5\n", + "leader\t0.02s\n", + "emit\t0.00s\n", + "slot\t0.02s\n", + "forkchoice\t0.00s\n", + "emit_leader_block\t0.00s\n", "prep\t0.00s\n", - "total\t2.12s\n", - "simulating 2/4\n", - "leader\t1.85s\n", - "emit\t0.26s\n", - "slot\t2.11s\n", - "forkchoice\t0.03s\n", - "emit_leader_block\t0.06s\n", + "total\t0.02s\n", + "simulating 2/5\n", + "leader\t0.02s\n", + "emit\t0.00s\n", + "slot\t0.02s\n", + "forkchoice\t0.00s\n", + "emit_leader_block\t0.00s\n", "prep\t0.00s\n", - "total\t2.12s\n", - "simulating 3/4\n", - "leader\t1.85s\n", - "emit\t0.25s\n", - "slot\t2.10s\n", - "forkchoice\t0.03s\n", - "emit_leader_block\t0.05s\n", + "total\t0.02s\n", + "simulating 3/5\n", + "leader\t0.02s\n", + "emit\t0.00s\n", + "slot\t0.02s\n", + "forkchoice\t0.00s\n", + "emit_leader_block\t0.00s\n", "prep\t0.00s\n", - "total\t2.12s\n", - "simulating 4/4\n", - "leader\t1.88s\n", - "emit\t0.26s\n", - "slot\t2.14s\n", - "forkchoice\t0.03s\n", - "emit_leader_block\t0.06s\n", + "total\t0.02s\n", + "simulating 4/5\n", + "leader\t0.02s\n", + "emit\t0.00s\n", + "slot\t0.02s\n", + "forkchoice\t0.00s\n", + "emit_leader_block\t0.00s\n", "prep\t0.00s\n", - "total\t2.16s\n", + "total\t0.02s\n", + "simulating 5/5\n", + "leader\t0.03s\n", + "emit\t0.01s\n", + "slot\t0.03s\n", + "forkchoice\t0.00s\n", + "emit_leader_block\t0.00s\n", + "prep\t0.00s\n", + "total\t0.03s\n", "finished simulation, starting analysis\n", "honest_chain\t0.00s\n", "honest_height_by_slot\t0.00s\n", - "prep_analysis\t0.03s\n", + "prep_analysis\t0.00s\n", "nearest_honest\t0.00s\n", - "reorg_events\t0.06s\n", - "reorg_depth\t0.01s\n", + "reorg_events\t0.00s\n", + "reorg_depth\t0.00s\n", "depth_append\t0.00s\n", "honest_chain\t0.00s\n", "honest_height_by_slot\t0.00s\n", - "prep_analysis\t0.04s\n", + "prep_analysis\t0.00s\n", "nearest_honest\t0.00s\n", - "reorg_events\t0.07s\n", - "reorg_depth\t0.01s\n", + "reorg_events\t0.00s\n", + "reorg_depth\t0.00s\n", "depth_append\t0.00s\n", "honest_chain\t0.00s\n", "honest_height_by_slot\t0.00s\n", - "prep_analysis\t0.05s\n", + "prep_analysis\t0.00s\n", "nearest_honest\t0.00s\n", - "reorg_events\t0.07s\n", - "reorg_depth\t0.01s\n", + "reorg_events\t0.00s\n", + "reorg_depth\t0.00s\n", "depth_append\t0.00s\n", "honest_chain\t0.00s\n", "honest_height_by_slot\t0.00s\n", - "prep_analysis\t0.04s\n", + "prep_analysis\t0.00s\n", "nearest_honest\t0.00s\n", - "reorg_events\t0.07s\n", - "reorg_depth\t0.01s\n", + "reorg_events\t0.00s\n", + "reorg_depth\t0.00s\n", "depth_append\t0.00s\n", - "CPU times: user 8.78 s, sys: 239 ms, total: 9.02 s\n", - "Wall time: 9.03 s\n" + "honest_chain\t0.00s\n", + "honest_height_by_slot\t0.00s\n", + "prep_analysis\t0.00s\n", + "nearest_honest\t0.00s\n", + "reorg_events\t0.00s\n", + "reorg_depth\t0.00s\n", + "depth_append\t0.00s\n", + "CPU times: user 116 ms, sys: 5.15 ms, total: 121 ms\n", + "Wall time: 117 ms\n" ] } ], @@ -784,18 +686,28 @@ "%%time\n", "\n", "np.random.seed(0)\n", - "stake = np.random.pareto(10, 1000)\n", + "stake = np.random.pareto(10, 100)\n", + "SLOTS = 2000\n", + "\n", "\n", "sims = [Sim(\n", " params=Params(\n", - " SLOTS=100000,\n", + " SLOTS=SLOTS,\n", " f=1/30,\n", " adversary_control = 0.3,\n", " honest_stake = stake\n", " ),\n", " network=replace(blend_net, blending_delay=i),\n", - ") for i in [1,3,5,10]]\n", - "\n", + ") for i in [1,2,3,5]]\n", + "sims += [Sim(\n", + " params=Params(\n", + " SLOTS=int(SLOTS * 3/2),\n", + " f=1/20,\n", + " adversary_control = 0.3,\n", + " honest_stake = stake\n", + " ),\n", + " network=replace(blend_net, blend_hops=0),\n", + ")]\n", "\n", "for i, sim in enumerate(sims):\n", " print(f\"simulating {i+1}/{len(sims)}\")\n", @@ -807,13 +719,13 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 13, "id": "1ff938f3-6bc4-4b8e-bd9a-492db140d7b9", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -825,9 +737,11 @@ "source": [ "MAX=min(40, max(max(adv) for adv in advs))\n", "\n", - "for s in range(len(sims)):\n", + "for s in range(len(sims) - 1):\n", " reorg_depth_analysis(sims[s], advs[s], MAX, label=f\"blending_delay={sims[s].network.blending_delay}s\")\n", "\n", + "reorg_depth_analysis(sims[-1], advs[-1], MAX, label=f\"cardano\")\n", + "\n", "_ = plt.title(f\"reorg depth sensitivity to blend network delay @ {1/sims[s].params.f:.0f}s block time\")\n", "_ = plt.xlabel(\"reorg depth\")\n", "_ = plt.ylabel(\"frequency\")\n", @@ -840,7 +754,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 37, "id": "8c9a369c-2d55-4c07-8bfe-9e270cfed90a", "metadata": {}, "outputs": [ @@ -848,204 +762,110 @@ "name": "stdout", "output_type": "stream", "text": [ - "simulating 1/5\n", - "leader\t17.13s\n", - "emit\t2.32s\n", - "slot\t19.46s\n", - "forkchoice\t0.29s\n", - "emit_leader_block\t0.43s\n", + "simulating 1/1\n", + "leader\t57.11s\n", + "emit\t19.70s\n", + "slot\t76.81s\n", + "forkchoice\t10.89s\n", + "emit_leader_block\t1.81s\n", "prep\t0.00s\n", - "total\t19.62s\n", - "simulating 2/5\n", - "leader\t16.95s\n", - "emit\t2.25s\n", - "slot\t19.20s\n", - "forkchoice\t0.28s\n", - "emit_leader_block\t0.38s\n", - "prep\t0.00s\n", - "total\t19.37s\n", - "simulating 3/5\n", - "leader\t16.92s\n", - "emit\t2.26s\n", - "slot\t19.18s\n", - "forkchoice\t0.28s\n", - "emit_leader_block\t0.41s\n", - "prep\t0.00s\n", - "total\t19.34s\n", - "simulating 4/5\n", - "leader\t17.43s\n", - "emit\t2.41s\n", - "slot\t19.84s\n", - "forkchoice\t0.30s\n", - "emit_leader_block\t0.49s\n", - "prep\t0.00s\n", - "total\t20.01s\n", - "simulating 5/5\n", - "leader\t17.40s\n", - "emit\t2.46s\n", - "slot\t19.86s\n", - "forkchoice\t0.30s\n", - "emit_leader_block\t0.52s\n", - "prep\t0.00s\n", - "total\t20.03s\n", + "total\t78.08s\n", "finished simulation, starting analysis\n", - "Processing block Block(id=5000, slot=295115, height=4478, parent=np.int64(4999), leader=np.int64(924))\n", - "Processing block Block(id=10000, slot=579425, height=8965, parent=np.int64(9999), leader=np.int64(472))\n", - "Processing block Block(id=15000, slot=869955, height=13467, parent=np.int64(14999), leader=np.int64(210))\n", - "honest_chain\t0.00s\n", - "honest_height_by_slot\t0.00s\n", - "prep_analysis\t1.24s\n", - "nearest_honest\t0.01s\n", - "reorg_events\t11.99s\n", - "reorg_depth\t4.60s\n", - "depth_append\t6.41s\n", - "Processing block Block(id=5000, slot=287253, height=4496, parent=np.int64(4999), leader=np.int64(716))\n", - "Processing block Block(id=10000, slot=576285, height=8998, parent=np.int64(9999), leader=np.int64(677))\n", - "Processing block Block(id=15000, slot=864933, height=13485, parent=np.int64(14998), leader=np.int64(172))\n", - "honest_chain\t0.00s\n", - "honest_height_by_slot\t0.00s\n", - "prep_analysis\t1.52s\n", - "nearest_honest\t0.01s\n", - "reorg_events\t11.31s\n", - "reorg_depth\t4.52s\n", - "depth_append\t6.44s\n", - "Processing block Block(id=5000, slot=286124, height=4486, parent=np.int64(4999), leader=np.int64(23))\n", - "Processing block Block(id=10000, slot=577264, height=9004, parent=np.int64(9999), leader=np.int64(451))\n", - "Processing block Block(id=15000, slot=870737, height=13510, parent=np.int64(14999), leader=np.int64(293))\n", - "honest_chain\t0.00s\n", - "honest_height_by_slot\t0.00s\n", - "prep_analysis\t1.58s\n", - "nearest_honest\t0.01s\n", - "reorg_events\t10.31s\n", - "reorg_depth\t4.34s\n", - "depth_append\t6.28s\n", - "Processing block Block(id=5000, slot=289500, height=4485, parent=np.int64(4999), leader=np.int64(185))\n", - "Processing block Block(id=10000, slot=579978, height=8984, parent=np.int64(9999), leader=np.int64(119))\n", - "Processing block Block(id=15000, slot=883026, height=13524, parent=np.int64(14998), leader=np.int64(617))\n", - "honest_chain\t0.00s\n", - "honest_height_by_slot\t0.00s\n", - "prep_analysis\t1.39s\n", - "nearest_honest\t0.01s\n", - "reorg_events\t10.64s\n", - "reorg_depth\t4.41s\n", - "depth_append\t6.32s\n", - "Processing block Block(id=5000, slot=290896, height=4530, parent=np.int64(4999), leader=np.int64(746))\n", - "Processing block Block(id=10000, slot=588507, height=9046, parent=np.int64(9999), leader=np.int64(982))\n", - "Processing block Block(id=15000, slot=876733, height=13547, parent=np.int64(14998), leader=np.int64(839))\n", - "honest_chain\t0.00s\n", - "honest_height_by_slot\t0.00s\n", - "prep_analysis\t1.34s\n", - "nearest_honest\t0.03s\n", - "reorg_events\t11.18s\n", - "reorg_depth\t4.41s\n", - "depth_append\t6.31s\n", + "Processing block Block(id=5000, slot=252236, height=4539, parent=np.int64(4999), leader=np.int64(93))\n", + "Processing block Block(id=10000, slot=497006, height=9067, parent=np.int64(9999), leader=np.int64(58))\n", + "Processing block Block(id=15000, slot=750959, height=13619, parent=np.int64(14999), leader=np.int64(70))\n", + "Processing block Block(id=20000, slot=991659, height=18134, parent=np.int64(19999), leader=np.int64(6))\n", + "Processing block Block(id=25000, slot=1239863, height=22728, parent=np.int64(24999), leader=np.int64(17))\n", + "Processing block Block(id=30000, slot=1489285, height=27277, parent=np.int64(29999), leader=np.int64(37))\n", + "Processing block Block(id=35000, slot=1728486, height=31815, parent=np.int64(34999), leader=np.int64(19))\n", + "Processing block Block(id=40000, slot=1974391, height=36342, parent=np.int64(39999), leader=np.int64(27))\n", + "Processing block Block(id=45000, slot=2226173, height=40923, parent=np.int64(44999), leader=np.int64(84))\n", + "Processing block Block(id=50000, slot=2472896, height=45468, parent=np.int64(49999), leader=np.int64(4))\n", + "Processing block Block(id=55000, slot=2719213, height=50014, parent=np.int64(54999), leader=np.int64(7))\n", + "Processing block Block(id=60000, slot=2970718, height=54585, parent=np.int64(59999), leader=np.int64(72))\n", + "Processing block Block(id=65000, slot=3215235, height=59149, parent=np.int64(64999), leader=np.int64(72))\n", + "Processing block Block(id=70000, slot=3457637, height=63640, parent=np.int64(69999), leader=np.int64(78))\n", + "Processing block Block(id=75000, slot=3699174, height=68173, parent=np.int64(74999), leader=np.int64(22))\n", + "Processing block Block(id=80000, slot=3941265, height=72702, parent=np.int64(79999), leader=np.int64(7))\n", + "Processing block Block(id=85000, slot=4187929, height=77245, parent=np.int64(84999), leader=np.int64(91))\n", + "Processing block Block(id=90000, slot=4436329, height=81777, parent=np.int64(89999), leader=np.int64(89))\n", + "Processing block Block(id=95000, slot=4686901, height=86332, parent=np.int64(94999), leader=np.int64(72))\n", + "Processing block Block(id=100000, slot=4937060, height=90886, parent=np.int64(99998), leader=np.int64(10))\n", + "Processing block Block(id=105000, slot=5187093, height=95442, parent=np.int64(104999), leader=np.int64(7))\n", + "Processing block Block(id=110000, slot=5435079, height=100002, parent=np.int64(109999), leader=np.int64(94))\n", + "Processing block Block(id=115000, slot=5681958, height=104546, parent=np.int64(114999), leader=np.int64(44))\n", + "Processing block Block(id=120000, slot=5930287, height=109073, parent=np.int64(119999), leader=np.int64(20))\n", + "Processing block Block(id=125000, slot=6175270, height=113641, parent=np.int64(124999), leader=np.int64(98))\n", + "Processing block Block(id=130000, slot=6421564, height=118182, parent=np.int64(129999), leader=np.int64(72))\n", + "Processing block Block(id=135000, slot=6664531, height=122701, parent=np.int64(134999), leader=np.int64(75))\n", + "Processing block Block(id=140000, slot=6911274, height=127268, parent=np.int64(139998), leader=np.int64(70))\n", + "honest_chain\t0.03s\n", + "honest_height_by_slot\t0.03s\n", + "prep_analysis\t0.47s\n", + "nearest_honest\t0.04s\n", + "reorg_events\t25.89s\n", + "reorg_depth\t2.07s\n", + "depth_append\t0.09s\n", "cardano parameters\n", - "simulating 1/5\n", - "leader\t11.67s\n", - "emit\t32.71s\n", - "slot\t44.38s\n", - "forkchoice\t31.16s\n", - "emit_leader_block\t0.46s\n", - "prep\t0.01s\n", - "total\t44.50s\n", - "simulating 2/5\n", - "leader\t11.29s\n", - "emit\t32.47s\n", - "slot\t43.76s\n", - "forkchoice\t31.02s\n", - "emit_leader_block\t0.41s\n", + "simulating 1/1\n", + "leader\t33.10s\n", + "emit\t15.78s\n", + "slot\t48.89s\n", + "forkchoice\t10.64s\n", + "emit_leader_block\t1.07s\n", "prep\t0.00s\n", - "total\t43.87s\n", - "simulating 3/5\n", - "leader\t11.23s\n", - "emit\t1.76s\n", - "slot\t13.00s\n", - "forkchoice\t0.29s\n", - "emit_leader_block\t0.43s\n", - "prep\t0.00s\n", - "total\t13.11s\n", - "simulating 4/5\n", - "leader\t11.23s\n", - "emit\t1.70s\n", - "slot\t12.93s\n", - "forkchoice\t0.27s\n", - "emit_leader_block\t0.37s\n", - "prep\t0.00s\n", - "total\t13.04s\n", - "simulating 5/5\n", - "leader\t11.20s\n", - "emit\t1.72s\n", - "slot\t12.92s\n", - "forkchoice\t0.28s\n", - "emit_leader_block\t0.39s\n", - "prep\t0.00s\n", - "total\t13.03s\n", - "Processing block Block(id=5000, slot=196522, height=4914, parent=np.int64(4999), leader=np.int64(641))\n", - "Processing block Block(id=10000, slot=383562, height=9832, parent=np.int64(9999), leader=np.int64(526))\n", - "Processing block Block(id=15000, slot=577797, height=14739, parent=np.int64(14999), leader=np.int64(289))\n", - "honest_chain\t0.00s\n", - "honest_height_by_slot\t0.00s\n", - "prep_analysis\t0.99s\n", - "nearest_honest\t0.01s\n", - "reorg_events\t5.51s\n", - "reorg_depth\t0.60s\n", - "depth_append\t0.44s\n", - "Processing block Block(id=5000, slot=190152, height=4908, parent=np.int64(4999), leader=np.int64(616))\n", - "Processing block Block(id=10000, slot=383390, height=9810, parent=np.int64(9999), leader=np.int64(395))\n", - "Processing block Block(id=15000, slot=579086, height=14731, parent=np.int64(14999), leader=np.int64(465))\n", - "honest_chain\t0.00s\n", - "honest_height_by_slot\t0.00s\n", - "prep_analysis\t0.88s\n", - "nearest_honest\t0.01s\n", - "reorg_events\t5.92s\n", - "reorg_depth\t0.71s\n", - "depth_append\t0.65s\n", - "Processing block Block(id=5000, slot=189522, height=4924, parent=np.int64(4999), leader=np.int64(8))\n", - "Processing block Block(id=10000, slot=378916, height=9838, parent=np.int64(9999), leader=np.int64(478))\n", - "Processing block Block(id=15000, slot=569140, height=14742, parent=np.int64(14999), leader=np.int64(599))\n", - "honest_chain\t0.00s\n", - "honest_height_by_slot\t0.00s\n", - "prep_analysis\t0.88s\n", - "nearest_honest\t0.01s\n", - "reorg_events\t5.65s\n", - "reorg_depth\t0.55s\n", - "depth_append\t0.30s\n", - "Processing block Block(id=5000, slot=188484, height=4922, parent=np.int64(4999), leader=np.int64(774))\n", - "Processing block Block(id=10000, slot=381539, height=9826, parent=np.int64(9999), leader=np.int64(216))\n", - "Processing block Block(id=15000, slot=572719, height=14758, parent=np.int64(14999), leader=np.int64(263))\n", - "honest_chain\t0.00s\n", - "honest_height_by_slot\t0.00s\n", - "prep_analysis\t0.93s\n", - "nearest_honest\t0.00s\n", - "reorg_events\t5.36s\n", - "reorg_depth\t0.60s\n", - "depth_append\t0.43s\n", - "Processing block Block(id=5000, slot=192729, height=4922, parent=np.int64(4999), leader=np.int64(300))\n", - "Processing block Block(id=10000, slot=386016, height=9850, parent=np.int64(9999), leader=np.int64(595))\n", - "Processing block Block(id=15000, slot=579762, height=14770, parent=np.int64(14999), leader=np.int64(256))\n", - "honest_chain\t0.00s\n", - "honest_height_by_slot\t0.00s\n", - "prep_analysis\t0.88s\n", - "nearest_honest\t0.00s\n", - "reorg_events\t5.38s\n", - "reorg_depth\t0.60s\n", - "depth_append\t0.49s\n", - "CPU times: user 4min 35s, sys: 1min 31s, total: 6min 6s\n", - "Wall time: 6min 51s\n" + "total\t49.62s\n", + "Processing block Block(id=5000, slot=135809, height=4899, parent=np.int64(4999), leader=np.int64(70))\n", + "Processing block Block(id=10000, slot=274084, height=9765, parent=np.int64(9999), leader=np.int64(8))\n", + "Processing block Block(id=15000, slot=409830, height=14646, parent=np.int64(14998), leader=np.int64(56))\n", + "Processing block Block(id=20000, slot=549207, height=19525, parent=np.int64(19999), leader=np.int64(25))\n", + "Processing block Block(id=25000, slot=691610, height=24421, parent=np.int64(24999), leader=np.int64(31))\n", + "Processing block Block(id=30000, slot=831456, height=29315, parent=np.int64(29999), leader=np.int64(60))\n", + "Processing block Block(id=35000, slot=970659, height=34209, parent=np.int64(34999), leader=np.int64(98))\n", + "Processing block Block(id=40000, slot=1111676, height=39085, parent=np.int64(39999), leader=np.int64(49))\n", + "Processing block Block(id=45000, slot=1253865, height=43968, parent=np.int64(44999), leader=np.int64(35))\n", + "Processing block Block(id=50000, slot=1395147, height=48859, parent=np.int64(49999), leader=np.int64(77))\n", + "Processing block Block(id=55000, slot=1533614, height=53745, parent=np.int64(54999), leader=np.int64(83))\n", + "Processing block Block(id=60000, slot=1672035, height=58644, parent=np.int64(59999), leader=np.int64(44))\n", + "Processing block Block(id=65000, slot=1810562, height=63514, parent=np.int64(64999), leader=np.int64(23))\n", + "Processing block Block(id=70000, slot=1947908, height=68389, parent=np.int64(69999), leader=np.int64(56))\n", + "Processing block Block(id=75000, slot=2090314, height=73280, parent=np.int64(74999), leader=np.int64(89))\n", + "Processing block Block(id=80000, slot=2229797, height=78164, parent=np.int64(79999), leader=np.int64(66))\n", + "Processing block Block(id=85000, slot=2370038, height=83058, parent=np.int64(84999), leader=np.int64(28))\n", + "Processing block Block(id=90000, slot=2506490, height=87933, parent=np.int64(89999), leader=np.int64(38))\n", + "Processing block Block(id=95000, slot=2645547, height=92812, parent=np.int64(94999), leader=np.int64(7))\n", + "Processing block Block(id=100000, slot=2782969, height=97689, parent=np.int64(99999), leader=np.int64(89))\n", + "Processing block Block(id=105000, slot=2923375, height=102592, parent=np.int64(104999), leader=np.int64(66))\n", + "Processing block Block(id=110000, slot=3065575, height=107487, parent=np.int64(109999), leader=np.int64(98))\n", + "Processing block Block(id=115000, slot=3207434, height=112370, parent=np.int64(114999), leader=np.int64(86))\n", + "Processing block Block(id=120000, slot=3344800, height=117256, parent=np.int64(119999), leader=np.int64(89))\n", + "Processing block Block(id=125000, slot=3482447, height=122160, parent=np.int64(124999), leader=np.int64(84))\n", + "Processing block Block(id=130000, slot=3622630, height=127033, parent=np.int64(129999), leader=np.int64(39))\n", + "Processing block Block(id=135000, slot=3764919, height=131937, parent=np.int64(134999), leader=np.int64(19))\n", + "Processing block Block(id=140000, slot=3903845, height=136842, parent=np.int64(139999), leader=np.int64(6))\n", + "honest_chain\t0.03s\n", + "honest_height_by_slot\t0.02s\n", + "prep_analysis\t0.29s\n", + "nearest_honest\t0.03s\n", + "reorg_events\t9.82s\n", + "reorg_depth\t1.20s\n", + "depth_append\t0.08s\n", + "CPU times: user 2min 36s, sys: 10.8 s, total: 2min 47s\n", + "Wall time: 2min 47s\n" ] } ], "source": [ "%%time\n", - "PATHS = 5\n", - "target_block_num = 30000\n", + "PATHS = 1\n", + "target_block_num = 2000\n", "np.random.seed(0)\n", - "stake = np.random.pareto(10, 1000)\n", + "stake = np.random.pareto(10, 100)\n", "network = blend_net\n", "sim_params = Params(\n", " SLOTS=0,\n", " f=0.05,\n", - " adversary_control = 0.49,\n", + " adversary_control = 0.3,\n", " honest_stake = stake\n", ")\n", "np.random.seed(1)\n", @@ -1056,7 +876,7 @@ " f=1/block_time\n", " ),\n", " network=network\n", - ") for block_time in np.array([30]).repeat(PATHS)]\n", + ") for block_time in np.array([35]).repeat(PATHS)]\n", "\n", "\n", "for i, sim in enumerate(sims):\n", @@ -1086,24 +906,23 @@ }, { "cell_type": "code", - "execution_count": 17, - "id": "87c8d0b8-c8d2-4c49-a9c4-2eaefd41c254", + "execution_count": 38, + "id": "5f47f6b7-f2bd-4db4-a6a8-358d2081820c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "1 / 5\n", - "2 / 5\n", - "3 / 5\n", - "4 / 5\n", - "5 / 5\n" + "MAX 30\n", + "cutoff 30\n", + "CPU times: user 28.7 ms, sys: 1.05 ms, total: 29.7 ms\n", + "Wall time: 28.7 ms\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -1113,7 +932,56 @@ } ], "source": [ - "k = 3000\n", + "%%time\n", + "i = 0\n", + "j = 0\n", + "expected_blocks_nomos = sims[i].params.SLOTS * sims[i].params.f\n", + "expected_blocks_cardano = cardano_sims[j].params.SLOTS * cardano_sims[j].params.f\n", + "\n", + "MAX = max(max(adv) for adv in (advs + cardano_advs))\n", + "print(\"MAX\", MAX)\n", + "hist_nomos = np.bincount(advs[0], minlength=MAX)\n", + "hist_cardano = np.bincount(cardano_advs[0], minlength=MAX)\n", + "\n", + "cutoff = min(min(np.where(hist_nomos == 0)[0], default=MAX), min(np.where(hist_cardano == 0)[0], default=MAX))\n", + "print(\"cutoff\", cutoff)\n", + "\n", + "plt.plot(np.arange(cutoff), (hist_nomos[:cutoff] / expected_blocks_nomos) / (hist_cardano[:cutoff] / expected_blocks_cardano))\n", + "plt.ylabel(\"Multiple Increase in Reorgs\")\n", + "plt.xlabel(\"Reorg Depth\")\n", + "plt.title(\"Plotting the ratio $\\\\frac{\\\\text{Nomos reorgs}}{\\\\text{Caradano reorgs}}$\")\n", + "None" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "87c8d0b8-c8d2-4c49-a9c4-2eaefd41c254", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1 / 1\n", + "CPU times: user 274 ms, sys: 10.6 ms, total: 285 ms\n", + "Wall time: 284 ms\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%time\n", + "k = 2160\n", "MAX=min(k, max(max(adv) for adv in advs))\n", "network_samples = network.empirical_network_delay()\n", "network_delay_mean = network_samples.mean()\n", @@ -1149,87 +1017,15 @@ "_ = plt.legend(by_label.values(), by_label.keys())" ] }, - { - "cell_type": "markdown", - "id": "f4441306-0bd1-4cc4-914e-4c31dd5270a2", - "metadata": {}, - "source": [ - "# 30s Block Times Network Sensitivity Analysis" - ] - }, { "cell_type": "code", - "execution_count": 18, - "id": "ec1c7f73-5752-4fb2-bd3e-ed7eb4c9156d", - "metadata": {}, - "outputs": [], - "source": [ - "block_time = 30\n", - "\n", - "nomos_params = Params(\n", - " SLOTS=3 * 2160 * block_time,\n", - " f=1/block_time,\n", - " adversary_control = 0.3,\n", - " honest_stake = np.random.pareto(10, 1000)\n", - ")\n", - "nomos_net = NetworkParams(\n", - " broadcast_delay_mean=0.5,\n", - " pol_proof_time=1,\n", - " blending_delay=3,\n", - " desimenation_delay_mean=0.5,\n", - " blend_hops=3,\n", - ")\n", - "\n", - "cardano_params = replace(nomos_params, f=1/20, SLOTS=10 * 2160 * 20)\n", - "cardano_net = replace(nomos_net, blend_hops=0)" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "2ceb907e-c1b6-4867-81b0-e5d38ee6c50a", + "execution_count": 17, + "id": "fdc9ae28-5c4f-4ffd-a090-ae7a7225ec4c", "metadata": {}, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "leader\t8.54s\n", - "emit\t1.51s\n", - "slot\t10.05s\n", - "forkchoice\t0.31s\n", - "emit_leader_block\t0.42s\n", - "prep\t0.00s\n", - "total\t10.14s\n", - "Processing block Block(id=5000, slot=142190, height=4884, parent=np.int64(4999), leader=np.int64(162))\n", - "Processing block Block(id=10000, slot=281660, height=9781, parent=np.int64(9999), leader=np.int64(896))\n", - "Processing block Block(id=15000, slot=422412, height=14683, parent=np.int64(14999), leader=np.int64(629))\n", - "honest_chain\t0.00s\n", - "honest_height_by_slot\t0.00s\n", - "prep_analysis\t0.43s\n", - "nearest_honest\t0.01s\n", - "reorg_events\t4.62s\n", - "reorg_depth\t0.22s\n", - "depth_append\t0.02s\n" - ] - }, { "data": { - "text/plain": [ - "(array([28., 3., 2., 1., 1., 1., 0., 1., 0., 1.]),\n", - " array([5.0000e+00, 8.3640e+02, 1.6678e+03, 2.4992e+03, 3.3306e+03,\n", - " 4.1620e+03, 4.9934e+03, 5.8248e+03, 6.6562e+03, 7.4876e+03,\n", - " 8.3190e+03]),\n", - " )" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", + "image/png": 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0tBQAkJSUhEmTJmHGjBlITU1F37598eWXX9bq+7Bq1Sro6enBwcEBoaGhEtM9iYmJ6Ny5M4yMjIRtXl5eKCoqQkpKSq37fO7cOWhoaEhdVqxYUat8a+vq1au4cOEC3N3dAQClpaXw9vaGu7s7rl27hsTEREydOhUikahez/umOCVERNSINDQ2Nur5xOL5Mh9jb2+PpUuXAgAsLCywefNmnDp1Cp6envj5559x7do1pKenw9jYGACwb98+2NnZ4fLly+jRo0e17ZaUlGDz5s3o1asXgJeFkY2NDS5duoSePXtWiv/iiy8QHh4ujCaYm5vj5s2b2L59O8aPHy/EzZ8/H4MHDwYALFu2DHZ2drhz5w6sra2xYcMGeHl5CdefWFpa4sKFCzhx4oTU78GcOXPQrVs3tGnTBpcuXUJgYCDS09Oxc+dOAEB2djb09fUljmnTpg1at26N7OzsWvfZyckJqampUnPR1dWVur+22rdvj3/++QelpaUICQnB5MmTAQB5eXnIzc3Fhx9+iI4dOwIAbGxs6uWc9YkFCxERSbC3t5dYNzQ0RE5ODgDg1q1bMDY2FooVALC1tYWOjg5u3bqFHj16wM7OTphOeP/993H8+HEAgKKiIpycnITjrK2theNeL1j++ecfZGZmws/PT+I6ktLSUmhra1ebr6GhIQAgJycH1tbWuHXrFoYPHy4R7+LiUmPBMm/ePIn227Rpg3/961/CqAuAKkcgxGKxxPaa+qyqqopOnTpJzaW+nDt3Dvn5+bh48SIWLVqETp06YfTo0dDV1cWECRPg5eUFT09PeHh4wMfHR/heygsWLEREjSg/37+pU6iRkpKSxLpIJEJ5eTmAyh/IFV7dHhcXh5KSEgCAqqpqpbZeV9W2ivN9/fXXwuhEBQUFhWrzrWjr1Xzrg7OzMwDgzp070NPTg4GBAZKSkiRinjx5gpKSkkojL9L6fO7cOQwcOFDquRcvXozFixe/SfoAXo5QAUCXLl3w4MEDhISEYPTo0QBeXivk7++PEydO4MCBAwgODkZ8fLzQb3nAgoWIqBGpq7du6hTeiK2tLTIyMpCZmSmMsty8eRO5ubnCNIKpqWmVx5aWliI5OVkYTUlLS8PTp09hbW1dKVZfXx/vvvsu/vzzT4wdO/aN8r148aLEttfXa+Pq1asA/jeC4+LigtDQUGRlZQnbTp48CWVlZXTv3l04rqY+N+aU0KvEYjGKiooktjk6OsLR0RGBgYFwcXHBt99+y4KFiIiaJw8PD9jb22Ps2LGIiIhAaWkpZsyYAXd3d4mpj6ooKSlh9uzZ2LhxI5SUlDBr1iw4OztXef0K8PJBcv7+/tDS0sLAgQNRVFSE5ORkPHnyBAEBAbXK19/fH66urli9ejW8vb1x8uTJGqeDEhMTcfHiRfTt2xfa2tq4fPky5s2bh6FDh8LExAQA0L9/f9ja2sLX1xdr1qzB48ePMX/+fEyZMgVaWlq17rOsU0L5+fm4c+eOsJ6eno7U1FTo6uoKuQUGBuL+/fvYu3cvAGDLli0wMTERiqTz589j7dq1mD17ttDGjh07MHToUBgZGSEtLQ23b9/GuHHjap1XY+BdQkREVGsVDytr06YN3Nzc4OHhgQ4dOuDAgQM1HqumpoaFCxdizJgxcHFxgaqqKqKjo6uNnzx5Mnbu3InIyEh06dIF7u7uiIyMFKY2asPZ2Rk7d+7Epk2b4ODggJMnTyI4OFjqMcrKyjhw4AD69OkDW1tbfP7555gyZQr2798vxCgoKODYsWNQUVFB79694ePjA29vb6xdu/aN+lyT5ORkYSQEAAICAuDo6IjPP/9ciMnKykJGRoawXl5ejsDAQDg4OMDJyQmbNm1CWFgYli9fLuT4+++/46OPPoKlpSWmTp2KWbNmYdq0aXXOsyGIxPU1wdfE8vLyoK2tjdzcXInqtj6YLTomfH0vbHC9tk1ELU9hYSHS09Nhbm4OFRWVpk6HmkhkZCTmzp2Lp0+fNnUqTU7az0RtP785wkJERERyjwULERERyT0WLERERA1gwoQJnA6qRyxYiIiISO6xYCEiIiK5x4KFiIiI5B4LFhmZLTomcZszERERNTwWLERERCT3WLAQERGR3GPBQkREDS4yMhI6OjpSY0JCQuDg4CAXuZD8YcFCRET0mitXrsDT0xM6OjrQ09PD1KlTkZ+fLxFz6tQpuLq6QlNTE4aGhli4cCFKS0sbNK9t27bB3t4eWlpa0NLSgouLC44fPy71mPPnz6N3797Q09ODqqoqrK2tsX79+gbNsyGwYCEiInrF33//DQ8PD3Tq1AlJSUk4ceIEbty4gQkTJggx165dw6BBgzBgwABcvXoV0dHROHLkCBYtWtSgubVv3x5hYWFITk5GcnIyPvjgAwwbNgw3btyo9hh1dXXMmjULZ8+exa1btxAcHIzg4GDs2LGjQXOtbyxYiIhI0KdPH/j7++Ozzz6Drq4uDAwMEBISIhGTkZGBYcOGQUNDA1paWvDx8cGDBw9q1X5sbCwsLS2hoqICT09PZGZmSo3fs2cPbGxsoKKiAmtra2zdulXYd+/ePYhEIhw8eBB9+/aFmpoaunbtisTERIk2IiMjYWJiAjU1NQwfPhyPHj2Ses6jR49CSUkJW7ZsgZWVFXr06IEtW7YgJiYGd+7cAQBER0fD3t4en3/+OTp16gR3d3esXLkSW7ZswbNnz4Tz6ujoyNxnaYYMGYJBgwbB0tISlpaWCA0NhYaGBi5evFjtMY6Ojhg9ejTs7OxgZmaGTz75BF5eXjh37pwQk5CQgJ49e0JdXR06Ojro3bs3/vrrrzrn2RBkLljOnj2LIUOGwMjISHjNuDQJCQkQiUSVlt9//10iLiYmBra2tlBWVoatrS0OHToka2pERHKvoKC4UZe6iIqKgrq6OpKSkrB69WosX74c8fHxAACxWAxvb288fvwYZ86cQXx8PO7evYuRI0fW2O7z588RGhqKqKgo/Prrr8jLy8OoUaOqjf/6668RFBSE0NBQ3Lp1CytWrMCSJUsQFRUlERcUFIT58+cjNTUVlpaWGD16tDA1k5SUhEmTJmHGjBlITU1F37598eWXX0rNs6ioCK1bt0arVv/7iFRVVQXwcnqlIub1tw6rqqqisLAQKSkpte7zuXPnoKGhIXVZsWJFlXmWlZUhOjoaBQUFcHFxkdqnV129ehUXLlyAu7s7AKC0tBTe3t5wd3fHtWvXkJiYiKlTp0IkEtW6zcagKOsBBQUF6Nq1KyZOnIiPPvqo1selpaVJvDb6nXfeEb5OTEzEyJEj8cUXX2D48OE4dOgQfHx8cP78efTq1UvWFImI5JaGxsZGPZ9YPF/mY+zt7bF06VIAgIWFBTZv3oxTp07B09MTP//8M65du4b09HQYGxsDAPbt2wc7OztcvnwZPXr0qLbdkpISbN68Wfi9HhUVBRsbG1y6dAk9e/asFP/FF18gPDwcI0aMAACYm5vj5s2b2L59O8aPHy/EzZ8/H4MHDwYALFu2DHZ2drhz5w6sra2xYcMGeHl5CVM1lpaWuHDhAk6cOFFtnh988AECAgKwZs0azJkzBwUFBVi8eDEAICsrCwDg5eWFiIgI7N+/Hz4+PsjOzhYKoYqY2vTZyckJqamp1eYCALq6uhLr169fh4uLCwoLC6GhoYFDhw7B1tZWahvAy+mkf/75B6WlpQgJCcHkyZMBAHl5ecjNzcWHH36Ijh07AgBsbGxqbK+xyTzCMnDgQHz55ZfC/0C11a5dOxgYGAiLgoKCsC8iIgKenp4IDAyEtbU1AgMD0a9fP0RERMiaHhERvSF7e3uJdUNDQ+Tk5AAAbt26BWNjY6FYAQBbW1vo6Ojg1q1bAAA7OzthdGDgwIFCnKKiIpycnIR1a2trieNe9c8//yAzMxN+fn4Sow1ffvkl7t69W22+hoaGACCR7+ujDzWNRtjZ2SEqKgrh4eFQU1ODgYEBOnToAH19feGzq3///lizZg2mT58OZWVlWFpaCkXTq59vNfVZVVUVnTp1krq8XrBYWVkhNTUVFy9exP/93/9h/PjxuHnzptQ+AS9Hc5KTk/HVV18JxRbwsiCaMGECvLy8MGTIEGzYsEGi6JIXMo+w1JWjoyMKCwtha2uL4OBg9O3bV9iXmJiIefPmScRXVK/VKSoqQlFRkbCel5dX7zkTEdW3/Hz/pk6hRkpKShLrIpEI5eXlAF5OCVU1VfDq9ri4OJSUlAD431TKq229rqptFef7+uuvK420v1oQvJ5vRVuv5lsXY8aMwZgxY/DgwQOoq6tDJBJh3bp1MDc3F2ICAgIwb948ZGVloU2bNrh37x4CAwMlYqrrX8W2c+fOSRR1VVm8eLEwwgMArVu3RqdOnQAATk5OuHz5MjZs2IDt27dLbaciry5duuDBgwcICQnB6NGjAby8Vsjf3x8nTpzAgQMHEBwcjPj4eDg7O0ttszE1eMFiaGiIHTt2oHv37igqKsK+ffvQr18/JCQkwM3NDQCQnZ0NfX19ieP09fWRnZ1dbbsrV67EsmXLGjR3IqL6pq7euqlTeCO2trbIyMhAZmamMMpy8+ZN5ObmCtMIpqamVR5bWlqK5ORkYfonLS0NT58+hbW1daVYfX19vPvuu/jzzz8xduzYN8r39QtSpV2gWlUeALB7927hotlXiUQiGBkZAQD2798PY2NjdOvWTdhfU5/rMiX0OrFYLPEHfG1UdYyjoyMcHR0RGBgIFxcXfPvtt29XwWJlZQUrKyth3cXFBZmZmVi7dq1QsACVK9DqqvgKgYGBCAgIENbz8vIkhiiJiKj+eXh4wN7eHmPHjkVERARKS0sxY8YMuLu7S0x9VEVJSQmzZ8/Gxo0boaSkhFmzZsHZ2bnK61eAlw+S8/f3h5aWFgYOHIiioiIkJyfjyZMnEr//pfH394erqytWr14Nb29vnDx5Uur1KxU2b94MV1dXaGhoID4+HgsWLEBYWJjEA+fWrFmDAQMGoFWrVjh48CDCwsLw3XffSYwA1dTniimh2lq8eDEGDhwIY2NjPHv2DNHR0UhISJDoU2BgIO7fv4+9e/cCALZs2QITExOhSDp//jzWrl2L2bNnAwDS09OxY8cODB06FEZGRkhLS8Pt27cxbty4WufVGBptSuhVzs7O+Oabb4R1AwODSqMpOTk5lUZdXqWsrAxlZeUGy5GIiCqruDt09uzZcHNzQ6tWrTBgwABs2rSpxmPV1NSwcOFCjBkzBv/973/x3nvvYffu3dXGT548GWpqalizZg0+++wzqKuro0uXLpg7d26t83V2dsbOnTuxdOlShISEwMPDA8HBwfjiiy+kHnfp0iUsXboU+fn5sLa2xvbt2+Hr6ysRc/z4cYSGhqKoqAhdu3bF4cOHK03vyNrnmjx48AC+vr7IysqCtrY27O3tceLECYmRn6ysLGRkZAjr5eXlCAwMRHp6OhQVFdGxY0eEhYVh2rRpQo6///47oqKi8OjRIxgaGmLWrFnCfnkhEtd1gg8v/8c9dOgQvL29ZTruX//6Fx4/foxffvkFADBy5Eg8e/YMcXFxQszAgQOho6MjXBRUk7y8PGhrayM3N1fibqT6UNXbme+FDa7XcxBRy1FYWIj09HSYm5tXuvWV3h6RkZGYO3cunj592tSpNDlpPxO1/fyWeYQlPz9feHAO8HIoKTU1Fbq6ujAxMak0FBUREQEzMzPY2dmhuLgY33zzDWJiYhATEyO0MWfOHLi5uWHVqlUYNmwYDh8+jJ9//lm4352IiIjebjIXLMnJyRJ3+FTMI44fPx6RkZGVhqKKi4sxf/583L9/H6qqqrCzs8OxY8cwaNAgIcbV1RXR0dEIDg7GkiVL0LFjRxw4cIDPYCEiIiIAbzglJE84JURE8oJTQkSS6mNKiO8SIiIiIrnHgoWIiIjkHgsWIiIiknssWIiIiEjusWAhIiIiuceChYiIiOQeCxYiImpwkZGREu/hqUpISAgcHBzkIheSPyxYiIiIXnPlyhV4enpCR0cHenp6mDp1KvLz8yViTp06BVdXV2hqasLQ0BALFy5EaWmp1Hbv3r2L4cOH45133oGWlhZ8fHzw4MGDhuyKhF9//RWKiooyFYaPHj1C+/btIRKJmvQ1AyxYiIiIXvH333/Dw8MDnTp1QlJSEk6cOIEbN25gwoQJQsy1a9cwaNAgDBgwAFevXkV0dDSOHDmCRYsWVdtuQUEB+vfvD5FIhF9++QW//voriouLMWTIEJSXlzd4v3JzczFu3Dj069dPpuP8/Pxgb2/fQFnVHgsWIiIS9OnTB/7+/vjss8+gq6sLAwMDhISESMRkZGRg2LBh0NDQkHmUIDY2FpaWllBRUYGnpycyMzOlxu/Zswc2NjZQUVGBtbU1tm7dKuy7d+8eRCIRDh48iL59+0JNTQ1du3ZFYmKiRBuRkZEwMTGBmpoahg8fjkePHkk959GjR6GkpIQtW7bAysoKPXr0wJYtWxATEyO8Sy86Ohr29vb4/PPP0alTJ7i7u2PlypXYsmULnj17VmW7v/76K+7du4fIyEh06dIFXbp0wZ49e3D58mXhZcAVfYqOjoarqytUVFRgZ2eHhISEmr61NZo2bRrGjBkDFxeXWh+zbds2PH36FPPnz6+076+//sKQIUPQpk0bqKurw87OTuIlxvWNBQsRUSMqKChu1KUuoqKioK6ujqSkJKxevRrLly9HfHw8AEAsFsPb2xuPHz/GmTNnEB8fj7t372LkyJE1tvv8+XOEhoYiKioKv/76K/Ly8jBq1Khq47/++msEBQUhNDQUt27dwooVK7BkyRJERUVJxAUFBWH+/PlITU2FpaUlRo8eLUzNJCUlYdKkSZgxYwZSU1PRt29ffPnll1LzLCoqQuvWrdGq1f8+IlVVVQFAeClvUVFRpUfMq6qqorCwECkpKdW2KxKJoKysLGxTUVFBq1atKr3sd8GCBfj0009x9epVuLq6YujQoRKFloaGhtRl4MCBEu3t2bMHd+/exdKlS6X2/VU3b97E8uXLsXfvXonvRYWZM2eiqKgIZ8+exfXr17Fq1SpoaGjUun1ZyfzyQyIiqjsNjY2Nej6xuPJfxjWxt7cXPtgsLCywefNmnDp1Cp6envj5559x7do1pKenw9jYGACwb98+2NnZ4fLly+jRo0e17ZaUlGDz5s3Ci22joqJgY2ODS5cuoWfPnpXiv/jiC4SHh2PEiBEAAHNzc9y8eRPbt2/H+PHjhbj58+dj8OCX73dbtmwZ7OzscOfOHVhbW2PDhg3w8vISpmosLS1x4cIFnDhxoto8P/jgAwQEBGDNmjWYM2cOCgoKsHjxYgBAVlYWAMDLywsRERHYv38/fHx8kJ2dLRRCFTGvc3Z2hrq6OhYuXIgVK1ZALBZj4cKFKC8vr3TMrFmz8NFHHwF4Ocpx4sQJ7Nq1C5999hkAIDU1tdr8gf8VWADwxx9/YNGiRTh37hwUFWv3sV9UVITRo0djzZo1MDExwZ9//lkpJiMjAx999BG6dOkCAOjQoUOt2q4rjrAQEZGE169XMDQ0RE5ODgDg1q1bMDY2FooVALC1tYWOjg5u3boFALCzs6vyL31FRUU4OTkJ69bW1hLHveqff/5BZmYm/Pz8JEYOvvzyS9y9e7fafA0NDQFAIt/Xp0BqmhKxs7NDVFQUwsPDoaamBgMDA3To0AH6+vpQUFAAAPTv3x9r1qzB9OnToaysDEtLS6Foqoh53TvvvIPvv/8eP/74IzQ0NIQX/nXr1q3SMa/mWPF9e/X71KlTJ6nLu+++CwAoKyvDmDFjsGzZMlhaWkrt96sCAwNhY2ODTz75pNoYf39/fPnll+jduzeWLl2Ka9eu1br9uuAICxFRI8rP92/qFGqkpKQksS4SiYSLQsViMUQiUaVjXt0eFxeHkpISAJJ/6Ve09bqqtlWc7+uvvxZGZCq8/uH+ar4Vbb2ab12MGTMGY8aMwYMHD6Curg6RSIR169bB3NxciAkICMC8efOQlZWFNm3a4N69ewgMDJSIeV3//v1x9+5dPHz4EIqKitDR0YGBgYHUY17vG4Aap17ef/99HD9+HM+ePUNycjKuXr2KWbNmAXj5vRGLxVBUVMTJkyfxwQcfVDr+l19+wfXr1/HDDz8A+N/3sW3btggKCsKyZcswefJkeHl54dixYzh58iRWrlyJ8PBwzJ49u8a+1AULFiKiRqSu3rqpU3gjtra2yMjIQGZmpjDKcvPmTeTm5sLGxgYAYGpqWuWxpaWlSE5OFqZ/0tLS8PTpU1hbW1eK1dfXx7vvvos///wTY8eOfaN8L168KLHt9XVp9PX1AQC7d+8WLhR+lUgkgpGREQBg//79MDY2Rrdu3Wpst23btgBeFgY5OTkYOnRopRzd3NwAvPy+paSkCAUHUPspIS0tLVy/fl1i39atW/HLL7/ghx9+qLZQiomJwYsXL4T1y5cvY9KkSTh37hw6duwobDc2Nsb06dMxffp0BAYG4uuvv2bBQkRETc/DwwP29vYYO3YsIiIiUFpaihkzZsDd3V1iuqcqSkpKmD17NjZu3AglJSXMmjULzs7OVV6/Arx8kJy/vz+0tLQwcOBAFBUVITk5GU+ePEFAQECt8vX394erqytWr14Nb29vnDx5Uur1KxU2b94MV1dXaGhoID4+HgsWLEBYWJjEA+fWrFmDAQMGoFWrVjh48CDCwsLw3XffCSNA9+/fR79+/bB3716hjxV3Pb3zzjtITEzEnDlzMG/ePFhZWUmcf8uWLbCwsICNjQ3Wr1+PJ0+eYNKkScL+Tp061ar/rVq1QufOnSW2tWvXDioqKhLbDx06hMDAQPz+++8AIFGUAMDDhw8BADY2NsL3YO7cuRg4cCAsLS3x5MkT/PLLL0LR2hB4DQsREdWaSCRCbGws2rRpAzc3N3h4eKBDhw44cOBAjceqqalh4cKFwq21qqqqiI6OrjZ+8uTJ2Llzp3AbsLu7OyIjI2s1fVLB2dkZO3fuxKZNm+Dg4ICTJ08iODi4xuMuXboET09PdOnSBTt27MD27dvh7y85nXf8+HG8//77cHJywrFjx3D48GF4e3sL+0tKSpCWlobnz58L29LS0uDt7Q0bGxssX74cQUFBWLt2baXzh4WFYdWqVejatSvOnTuHw4cPC6MyDSE3NxdpaWkyHVNWVoaZM2fCxsYGAwYMgJWVlcRt5/VNJK7rBJ+cycvLEy5g0tLSqte2zRYdq7TtXtjgej0HEbUchYWFSE9Ph7m5eaVbX4mkuXfvHszNzXH16tVGeU1BY5H2M1Hbz2+OsBAREZHcY8FCREREco8X3RIREckJMzOzOt+K3dJxhIWIiIjkHgsWIiIiknssWIiIiEjusWAhIiIiuceChYiIiOQeCxYiIiKSeyxY6shs0TFhISJqKfr06YO5c+dKjTEzM0NERIRc5EJvDxYsRETULCUkJEAkElVaKl7gVyEmJga2trZQVlaGra0tDh061Cj5HTt2DL169YKqqiratm2LESNGSI0Xi8UICQmBkZERVFVV0adPH9y4caNRcm0OWLAQEVGzlpaWhqysLGGxsLAQ9iUmJmLkyJHw9fXFb7/9Bl9fX/j4+CApKalBc4qJiYGvry8mTpyI3377Db/++ivGjBkj9ZjVq1dj3bp12Lx5My5fvgwDAwN4enri2bNnDZprc8GChYioEZU+f96oS51yLC3FrFmzoKOjAz09PQQHB0t9+mpubi6mTp2Kdu3aQUtLCx988AF+++03YX9ISAgcHBywb98+mJmZQVtbG6NGjZL4IC4oKMC4ceOgoaEBQ0NDhIeH1zrfdu3awcDAQFgUFBSEfREREfD09ERgYCCsra0RGBiIfv36SUxp9enTB7NmzZKpz9KUlpZizpw5WLNmDaZPnw5LS0tYWVnhX//6V7XHiMViREREICgoCCNGjEDnzp0RFRWF58+f49tvvxXiQkJCYGJiAmVlZRgZGVV6g3RLxkfzExE1ou969GjU842pw5RCVFQU/Pz8kJSUhOTkZEydOhWmpqaYMmVKpVixWIzBgwdDV1cXcXFx0NbWxvbt29GvXz/cvn0burq6AIC7d+8iNjYWR48exZMnT+Dj44OwsDCEhoYCABYsWIDTp0/j0KFDMDAwwOLFi5GSklKrNxY7OjqisLAQtra2CA4ORt++fYV9iYmJmDdvnkS8l5dXpWtwaurz9OnT8c0330jN4+bNmzAxMcGVK1dw//59tGrVCo6OjsjOzoaDgwPWrl0LOzu7Ko9NT09HdnY2+vfvL2xTVlaGu7s7Lly4gGnTpuGHH37A+vXrER0dDTs7O2RnZ0sUhi0dCxYiIpJgbGyM9evXQyQSwcrKCtevX8f69eurLFhOnz6N69evIycnB8rKygCAtWvXIjY2Fj/88AOmTp0KACgvL0dkZCQ0NTUBAL6+vjh16hRCQ0ORn5+PXbt2Ye/evfD09ATwsoBo37691DwNDQ2xY8cOdO/eHUVFRdi3bx/69euHhIQEuLm5AQCys7Ohr68vcZy+vj6ys7Nl6vPy5csxf/58qfkYGRkBAP78808AL0dD1q1bBzMzM4SHh8Pd3V2iiHtVRT5V5frXX38BADIyMmBgYAAPDw8oKSnBxMQEPXv2lJpTS8KChYioEflcvtzUKdTI2dkZIpFIWHdxcUF4eDjKysokplsAICUlBfn5+dDT05PY/uLFC9y9e1dYNzMzE4oV4GWxkZOTA+Dl6EtxcTFcXFyE/bq6urCyspKap5WVlUSMi4sLMjMzsXbtWqFgASDRF+DlqNDr22rqc7t27dCuXTup+VQoLy8HAAQFBeGjjz4CAOzZswft27fH999/j2nTplV7rLRcP/74Y0RERKBDhw4YMGAABg0ahCFDhkBR8e34KH87eklEJCcU1dSaOoV6VV5eDkNDQyQkJFTap6OjI3ytpKQksU8kEgkf7PX5dmJnZ2eJqRsDA4NKoyk5OTmVRjJqIsuUkKGhIQDA1tZW2KesrIwOHTogIyOjymMNDAwAvBxpqTj+9VyNjY2RlpaG+Ph4/Pzzz5gxYwbWrFmDM2fOVPr+tkS86JaIiCRcvHix0rqFhUWl0RUA6NatG7Kzs6GoqIhOnTpJLG3btq3V+Tp16gQlJSWJ8z558gS3b9+WOferV69KfOC7uLggPj5eIubkyZNwdXWV2FZTn5cvX47U1FSpS8WUUPfu3aGsrIy0tDShvZKSEty7dw+mpqZV5m1ubg4DAwOJXIuLi3HmzBmJXFVVVTF06FBs3LgRCQkJSExMxPXr12X5FjVbHGEhIiIJmZmZCAgIwLRp03DlyhVs2rSp2rt2PDw84OLiAm9vb6xatQpWVlb4+++/ERcXB29vbzg5OdV4Pg0NDfj5+WHBggXQ09ODvr4+goKC0KqV9L+pIyIiYGZmBjs7OxQXF+Obb75BTEwMYmJihJg5c+bAzc0Nq1atwrBhw3D48GH8/PPPOH/+vEx9lmVKSEtLC9OnT8fSpUthbGwMU1NTrFmzBsDLaZ0K1tbWWLlyJYYPHw6RSIS5c+dixYoVsLCwgIWFBVasWAE1NTXhdujIyEiUlZWhV69eUFNTw759+6CqqlptEdTSyFywnD17FmvWrEFKSgqysrJw6NAheHt7Vxt/8OBBbNu2DampqSgqKoKdnR1CQkLg5eUlxERGRmLixImVjn3x4gVUVFRkTZGIiN7AuHHj8OLFC/Ts2RMKCgqYPXu2cPHs60QiEeLi4hAUFIRJkybhn3/+gYGBAdzc3GSadlmzZg3y8/MxdOhQaGpq4tNPP0Vubq7UY4qLizF//nzcv38fqqqqsLOzw7FjxzBo0CAhxtXVFdHR0QgODsaSJUvQsWNHHDhwAL169apzn2vbH0VFRfj6+uLFixfo1asXfvnlF7Rp00aISUtLk+jjZ599hhcvXmDGjBl48uQJevXqhZMnTwrX/ujo6CAsLAwBAQEoKytDly5d8OOPP1a6fqilEollnDw8fvw4fv31V3Tr1g0fffRRjQXL3LlzYWRkhL59+0JHRwd79uzB2rVrkZSUBEdHRwAvC5Y5c+ZIDJ8B/5vTq428vDxoa2sjNzcXWlpasnSpRjU9fv9e2OB6PR8RNW+FhYVIT0+Hubk5/+hqBvr06QMHB4dGed3A20raz0RtP79lHmEZOHAgBg4cWOv41/8HWLFiBQ4fPowff/xRKFiAl1W6LAVKUVERioqKhPW8vLxaH0tERETNS6NfdFteXo5nz55Vug89Pz8fpqamaN++PT788ENcvXpVajsrV66Etra2sBgbGzdk2kRERNSEGr1gCQ8PR0FBAXx8fIRt1tbWiIyMxJEjR7B//36oqKigd+/e+OOPP6ptJzAwELm5ucKSmZnZGOkTEVELk5CQwOmgZqBR7xLav38/QkJCcPjwYYmrrZ2dneHs7Cys9+7dG926dcOmTZuwcePGKttSVlYWnqpIRERELVujFSwHDhyAn58fvv/+e3h4eEiNbdWqFXr06CF1hIWIiIjeHo0yJbR//35MmDAB3377LQYPrvmOGrFYjNTUVImH/xAREdHbS+YRlvz8fNy5c0dYT09PR2pqKnR1dWFiYoLAwEDcv38fe/fuBfCyWBk3bhw2bNgAZ2dn4RHJqqqq0NbWBgAsW7YMzs7OsLCwQF5eHjZu3IjU1FRs2bKlPvpIREREzZzMIyzJyclwdHQUbkkOCAiAo6MjPv/8cwBAVlaWxLsStm/fjtLSUsycOROGhobCMmfOHCHm6dOnmDp1KmxsbNC/f3/cv38fZ8+efaveQklERETVk/nBcfKKD44jInnBB8cRSaqPB8fx5YdERCTo06cP5s6dKzXGzMysUW4Drk0u9PZgwUJERM3Wli1bYGNjA1VVVVhZWQnXT1YoKSnB8uXL0bFjR6ioqKBr1644ceJEg+d15coVeHp6QkdHB3p6epg6dSry8/OlHiMSiapcKl6c+LZjwUJERM3Stm3bEBgYiJCQENy4cQPLli3DzJkz8eOPPwoxwcHB2L59OzZt2oSbN29i+vTpGD58eI1PU38Tf//9Nzw8PNCpUyckJSXhxIkTuHHjBiZMmCD1uKysLIll9+7dEIlE+Oijjxos1+aEBQsRUSMqff68UZc65VhailmzZgmjA8HBwZB2uWNubi6mTp2Kdu3aQUtLCx988AF+++03YX9ISAgcHBywb98+mJmZQVtbG6NGjcKzZ8+EmIKCAowbNw4aGhowNDREeHh4jXnu27cP06ZNw8iRI9GhQweMGjUKfn5+WLVqlUTM4sWLMWjQIHTo0AH/93//By8vL4n2+/Tpg1mzZsnUZ2mOHj0KJSUlbNmyBVZWVujRowe2bNmCmJgYibtsX2dgYCCxHD58GH379kWHDh2EmJCQEJiYmEBZWRlGRkbw9/evU47NUaM+6ZaI6G33XY8ejXq+MTduyHxMVFQU/Pz8kJSUhOTkZEydOhWmpqaYMmVKpVixWIzBgwdDV1cXcXFx0NbWxvbt29GvXz/cvn1beG/c3bt3ERsbi6NHj+LJkyfw8fFBWFgYQkNDAQALFizA6dOncejQIRgYGGDx4sVISUmBg4NDtXkWFRVVuoBTVVUVly5dQklJCZSUlKqNOX/+vEx9nj59Or755hup37ebN2/CxMQERUVFaN26NVq1+t+YgKqqKgDg/Pnz6NSpk9R2AODBgwc4duwYoqKihG0//PAD1q9fj+joaNjZ2SE7O1uiMGzpWLAQEZEEY2NjrF+/HiKRCFZWVrh+/TrWr19fZcFy+vRpXL9+HTk5OcLrUtauXYvY2Fj88MMPmDp1KoCXL76NjIyEpqYmAMDX1xenTp1CaGgo8vPzsWvXLuzduxeenp4AXhYQ7du3l5qnl5cXdu7cCW9vb3Tr1g0pKSnYvXs3SkpK8PDhQxgaGsLLywvr1q2Dm5sbOnbsiFOnTuHw4cMoKyuTqc/Lly/H/PnzpeZjZGQEAPjggw8QEBCANWvWYM6cOSgoKMDixYsBvJz2qY2oqChoampixIgRwraMjAwYGBjAw8MDSkpKMDExease/8GChYioEflcvtzUKdTI2dkZIpFIWHdxcUF4eDjKysqgoKAgEZuSkoL8/Hzo6elJbH/x4gXu3r0rrJuZmQnFCgAYGhoiJycHwMvRl+LiYri4uAj7dXV1YWVlJTXPJUuWIDs7G87OzhCLxdDX18eECROwevVqIc8NGzZgypQpsLa2hkgkQseOHTFx4kTs2bNHpj63a9dO4h140tjZ2SEqKgoBAQEIDAyEgoIC/P39oa+vX+n7V53du3dj7NixEqNDH3/8MSIiItChQwcMGDAAgwYNwpAhQ6Co+HZ8lL8dvSQikhOKampNnUK9Ki8vh6GhIRISEirt09HREb5WUlKS2CcSiVBeXg4Adb5WRFVVFbt378b27dvx4MEDGBoaYseOHdDU1ETbtm0BAO+88w5iY2NRWFiIR48ewcjICIsWLYK5ublM55JlSggAxowZgzFjxuDBgwdQV1eHSCTCunXranXec+fOIS0tDQcOHJDYbmxsjLS0NMTHx+Pnn3/GjBkzsGbNGpw5c6bS97clYsFCREQSLl68WGndwsKiytGBbt26ITs7G4qKijAzM6vT+Tp16gQlJSVcvHhR+MB/8uQJbt++DXd39xqPV1JSEqaPoqOj8eGHH0pcPwIAKioqePfdd1FSUoKYmBj4+PhU6uPr66/2WZYpoVfp6+sDeDlioqKiIkx5SbNr1y50794dXbt2rbRPVVUVQ4cOxdChQzFz5kxYW1vj+vXr6NatW43tNncsWIiISEJmZiYCAgIwbdo0XLlyBZs2bar2rh0PDw+4uLjA29sbq1atgpWVFf7++2/ExcXB29sbTk5ONZ5PQ0MDfn5+WLBgAfT09KCvr4+goKBKRcfrbt++jUuXLqFXr1548uQJ1q1bh//85z8SF6omJSXh/v37cHBwwP379xESEoLy8nJ89tlnMvVZlikhANi8eTNcXV2hoaGB+Ph4LFiwAGFhYRKjTtbW1li5ciWGDx8ubMvLy8P3339f5fc7MjISZWVl6NWrF9TU1LBv3z6oqqrC1NS01nk1ZyxYiIhIwrhx4/DixQv07NkTCgoKmD17tnDx7OtEIhHi4uIQFBSESZMm4Z9//oGBgQHc3NyE0YXaWLNmDfLz8zF06FBoamri008/RW5urtRjysrKEB4ejrS0NCgpKaFv3764cOGCxEhPYWEhgoOD8eeff0JDQwODBg3Cvn37JAoHWftcG5cuXcLSpUuRn58Pa2trbN++Hb6+vhIxaWlplfoYHR0NsViM0aNHV2pTR0cHYWFhCAgIQFlZGbp06YIff/yx0vVDLRXfJVQLfJcQEcmC7xJqXvr06QMHB4dGed3A24rvEiIiIqK3AgsWIiIiknu8hoWIiN5qVd2STfKHIyxEREQk91iwEBERkdxjwUJERERyjwVLPTBbdKzGW5+JiIio7liwEBERkdxjwUJERERyjwULEREJ+vTpg7lz50qNMTMza5SnwtYmF3p7sGAhIqJma8uWLbCxsYGqqiqsrKywd+9eif0lJSVYvnw5OnbsCBUVFXTt2hUnTpyosd3vvvsODg4OUFNTg6mpKdasWdNQXRAcPHgQXl5eaNu2LUQiEVJTUyvF7NixA3369IGWlhZEIhGePn1aY7vbtm2Dvb09tLS0oKWlBRcXFxw/frz+O9DAWLAQEVGztG3bNgQGBiIkJAQ3btzAsmXLMHPmTPz4449CTHBwMLZv345Nmzbh5s2bmD59OoYPH46rV69W2+7x48cxduxYTJ8+Hf/5z3+wdetWrFu3Dps3b27Q/hQUFKB3794ICwurNub58+cYMGAAFi9eXOt227dvj7CwMCQnJyM5ORkffPABhg0bhhs3btRH2o2GBQsRUSMqff68UZc65VhailmzZkFHRwd6enoIDg6GtPfk5ubmYurUqWjXrh20tLTwwQcf4LfffhP2h4SEwMHBAfv27YOZmRm0tbUxatQoPHv2TIgpKCjAuHHjoKGhAUNDQ4SHh9eY5759+zBt2jSMHDkSHTp0wKhRo+Dn54dVq1ZJxCxevBiDBg1Chw4d8H//93/w8vKS2v6+ffvg7e2N6dOno0OHDhg8eDAWLlyIVatWCd+Hij5t374dxsbGUFNTw8cff1yrEY/q+Pr64vPPP4eHh0e1MXPnzsWiRYvg7Oxc63aHDBmCQYMGwdLSEpaWlggNDYWGhgYuXrwoxGzduhUWFhZQUVGBvr4+/vWvf9W5Hw2Fj+YnImpE3/Xo0ajnG1OHv6KjoqLg5+eHpKQkJCcnY+rUqTA1NcWUKVMqxYrFYgwePBi6urqIi4uDtrY2tm/fjn79+uH27dvQ1dUFANy9exexsbE4evQonjx5Ah8fH4SFhSE0NBQAsGDBApw+fRqHDh2CgYEBFi9ejJSUFDg4OFSbZ1FRUaU3/6qqquLSpUsoKSmBkpJStTHnz5+X2q6amlqlY/773//ir7/+gpmZGQDgzp07+O677/Djjz8iLy8Pfn5+mDlzJv79738DAP79739j2rRp1Z4HALZv346xY8dKjalPZWVl+P7771FQUAAXFxcAQHJyMvz9/bFv3z64urri8ePHOHfuXKPlVFssWIiISIKxsTHWr18PkUgEKysrXL9+HevXr6+yYDl9+jSuX7+OnJwcKCsrAwDWrl2L2NhY/PDDD5g6dSoAoLy8HJGRkdDU1ATwcjTh1KlTCA0NRX5+Pnbt2oW9e/fC09MTwMuiqX379lLz9PLyws6dO+Ht7Y1u3bohJSUFu3fvRklJCR4+fAhDQ0N4eXlh3bp1cHNzQ8eOHXHq1CkcPnwYZWVlUtudN28eJkyYgL59++LOnTvCRcZZWVlCwVJYWCiR56ZNmzB48GCEh4fDwMAAQ4cORa9evaT2QV9fX+r++nL9+nW4uLigsLAQGhoaOHToEGxtbQEAGRkZUFdXx4cffghNTU2YmprC0dGxUfKSBQsWIqJG5HP5clOnUCNnZ2eIRCJh3cXFBeHh4SgrK4OCgoJEbEpKCvLz86Gnpyex/cWLF7h7966wbmZmJhQrAGBoaIicnBwAL0dfiouLhb/4AUBXVxdWVlZS81yyZAmys7Ph7OwMsVgMfX19TJgwAatXrxby3LBhA6ZMmQJra2uIRCJ07NgREydOxJ49e6ptd8qUKbh79y4+/PBDlJSUQEtLC3PmzEFISIhE/01MTCSKKhcXF5SXlyMtLQ0GBgbQ1NSU6HNTsrKyQmpqKp4+fYqYmBiMHz8eZ86cga2tLTw9PWFqaooOHTpgwIABGDBgAIYPH15plKmp8RoWIqJGpKim1qhLQysvL4ehoSFSU1MllrS0NCxYsECIU1JSkjhOJBKhvLwcAKReHyONqqoqdu/ejefPn+PevXvIyMgQCqO2bdsCAN555x3ExsaioKAAf/31F37//XdoaGjA3Ny82nZFIhFWrVqF/Px8/PXXX8jOzkbPnj0BQBhdqe64V//773//GxoaGlKXiumjhta6dWt06tQJTk5OWLlyJbp27YoNGzYAADQ1NXHlyhXs378fhoaG+Pzzz9G1a9c3uh6nIXCEhYiIJLx6MWbFuoWFRaXRFQDo1q0bsrOzoaioKPXDXJpOnTpBSUkJFy9ehImJCQDgyZMnuH37Ntzd3Ws8XklJSRjpiI6OxocffohWrST/HldRUcG7776LkpISxMTEwMfHp8Z2FRQU8O677wIA9u/fDxcXF7Rr107Yn5GRgb///htGRkYAgMTERLRq1QqWlpYAIFdTQq8Ti8UoKioS1hUVFeHh4QEPDw8sXboUOjo6+OWXXzBixIgmya8qLFiIiEhCZmYmAgICMG3aNFy5cgWbNm2q9q4aDw8PuLi4wNvbG6tWrYKVlRX+/vtvxMXFwdvbG05OTjWeT0NDA35+fliwYAH09PSgr6+PoKCgSkXH627fvo1Lly6hV69eePLkCdatW4f//Oc/iIqKEmKSkpJw//59ODg44P79+wgJCUF5eTk+++wzIWbz5s04dOgQTp06BQB4+PAhfvjhB/Tp0weFhYXYs2cPvv/+e5w5c0bi/CoqKhg/fjzWrl2LvLw8+Pv7w8fHBwYGBgAg85TQ48ePhSIIANLS0gAABgYGQpvZ2dnIzs7GnTt3ALy8NkVTUxMmJibCBc79+vXD8OHDMWvWLADA4sWLMXDgQBgbG+PZs2eIjo5GQkKC8Dyao0eP4s8//4SbmxvatGmDuLg4lJeX1zgl19hYsBARkYRx48bhxYsX6NmzJxQUFDB79mzh4tnXiUQixMXFISgoCJMmTcI///wDAwMDuLm5yTR6sGbNGuTn52Po0KHQ1NTEp59+itzcXKnHlJWVITw8HGlpaVBSUkLfvn1x4cIFiZGewsJCBAcH488//4SGhgYGDRqEffv2QUdHR4h5+PChxPU2wMuLfufPnw+xWAwXFxckJCQI00IVOnXqhBEjRmDQoEF4/PgxBg0ahK1bt9a6z687cuQIJk6cKKyPGjUKALB06VKEhIQAAL766issW7ZMiHFzcwMA7NmzBxMmTADw8pqghw8fCjEPHjyAr68vsrKyoK2tDXt7e5w4cUK4wFlHRwcHDx5ESEgICgsLYWFhgf3798POzq7OfWkIInFdJw/lTF5eHrS1tZGbmwstLa16bbu2b2K+Fza4Xs9LRM1TYWEh0tPTYW5uXumWWmoZQkJCEBsbW+XTaKkyaT8Ttf385kW3REREJPdYsBAREZHcY8FCREQko5CQEE4HNTKZC5azZ89iyJAhMDIygkgkQmxsbI3HnDlzBt27d4eKigo6dOiAr776qlJMTEwMbG1toaysDFtbWxw6dEjW1IiIiKiFkrlgKSgoQNeuXWv91sr09HQMGjQI77//Pq5evYrFixfD398fMTExQkxiYiJGjhwJX19f/Pbbb/D19YWPjw+SkpJkTY+ISG60kHsaiN5YffwsvNFdQiKRCIcOHYK3t3e1MQsXLsSRI0dw69YtYdv06dPx22+/ITExEQAwcuRI5OXl4fjx40LMgAED0KZNG+zfv79WufAuISKSF2VlZbh9+zbatWtX6ZH1RG+jR48eIScnB5aWlpUeQFjbz+8Gfw5LYmIi+vfvL7HNy8sLu3btEt6mmZiYiHnz5lWKqXjZVFWKiookntKXl5dXr3kTEdWVgoICdHR0hHflqKmpSbybh+htIRaL8fz5c+Tk5EBHR6fKpyXXVoMXLNnZ2ZUeHqSvr4/S0lLhbZrVxWRnZ1fb7sqVKyUenkNEJE8qnkxaUbQQvc10dHSEn4m6apQn3b7+l0XFLNSr26uKkfYXSWBgIAICAoT1vLw8GBsb10e6RERvTCQSwdDQEO3atUNJSUlTp0PUZJSUlN5oZKVCgxcsBgYGlUZKcnJyoKioKMztVhcj7bHOysrKUFZWrv+EiYjqkYKCQr38siZ62zX4c1hcXFwQHx8vse3kyZNwcnISXjdeXYyrq2tDp0dERETNgMwjLPn5+cJbIoGXty2npqZCV1cXJiYmCAwMxP3797F3714AL+8I2rx5MwICAjBlyhQkJiZi165dEnf/zJkzB25ubli1ahWGDRuGw4cP4+eff8b58+froYtERETU3Mk8wpKcnAxHR0c4OjoCAAICAuDo6IjPP/8cAJCVlYWMjAwh3tzcHHFxcUhISICDgwO++OILbNy4ER999JEQ4+rqiujoaOzZswf29vaIjIzEgQMH0KtXrzftHxEREbUAfFtzLfA5LERERA2Db2smIiKiFoMFCxEREck9FixEREQk91iwEBERkdxjwVKPzBYdq/UFukRERFR7LFiIiIhI7rFgISIiIrnHgoWIiIjkHgsWIiIiknssWIiIiEjusWAhIiIiuceChYiIiOQeCxYiIiKSeyxYiIiISO6xYCEiIiK5x4KFiIiI5B4LFiIiIpJ7LFiIiIhI7rFgISIiIrnHgoWIiIjkHgsWIiIiknssWIiIiEjusWAhIiIiuceChYiIiOQeCxYiIiKSeyxYiIiISO6xYCEiIiK5x4KFiIiI5B4LFiIiIpJ7LFiIiIhI7rFgISIiIrnHgoWIiIjknmJTJ9ASmS06Jnx9L2xwE2ZCRETUMnCEhYiIiOQeCxYiIiKSeyxYiIiISO6xYCEiIiK5V6eCZevWrTA3N4eKigq6d++Oc+fOVRs7YcIEiESiSoudnZ0QExkZWWVMYWFhXdIjIiKiFkbmguXAgQOYO3cugoKCcPXqVbz//vsYOHAgMjIyqozfsGEDsrKyhCUzMxO6urr4+OOPJeK0tLQk4rKysqCiolK3XhEREVGLInPBsm7dOvj5+WHy5MmwsbFBREQEjI2NsW3btirjtbW1YWBgICzJycl48uQJJk6cKBEnEokk4gwMDOrWIyIiImpxZCpYiouLkZKSgv79+0ts79+/Py5cuFCrNnbt2gUPDw+YmppKbM/Pz4epqSnat2+PDz/8EFevXpXaTlFREfLy8iQWIiIiaplkKlgePnyIsrIy6OvrS2zX19dHdnZ2jcdnZWXh+PHjmDx5ssR2a2trREZG4siRI9i/fz9UVFTQu3dv/PHHH9W2tXLlSmhrawuLsbGxLF0hIiKiZqROF92KRCKJdbFYXGlbVSIjI6GjowNvb2+J7c7Ozvjkk0/QtWtXvP/++/juu+9gaWmJTZs2VdtWYGAgcnNzhSUzM7MuXSEiIqJmQKZH87dt2xYKCgqVRlNycnIqjbq8TiwWY/fu3fD19UXr1q2lxrZq1Qo9evSQOsKirKwMZWXl2idPREREzZZMIyytW7dG9+7dER8fL7E9Pj4erq6uUo89c+YM7ty5Az8/vxrPIxaLkZqaCkNDQ1nSIyIiohZK5pcfBgQEwNfXF05OTnBxccGOHTuQkZGB6dOnA3g5VXP//n3s3btX4rhdu3ahV69e6Ny5c6U2ly1bBmdnZ1hYWCAvLw8bN25EamoqtmzZUsduERERUUsic8EycuRIPHr0CMuXL0dWVhY6d+6MuLg44a6frKysSs9kyc3NRUxMDDZs2FBlm0+fPsXUqVORnZ0NbW1tODo64uzZs+jZs2cdukREREQtjUgsFoubOon6kJeXB21tbeTm5kJLS6te2zZbdKzOx94LG1yPmRAREbUstf385ruEiIiISO6xYCEiIiK5x4KFiIiI5B4LFiIiIpJ7LFiIiIhI7rFgISIiIrnHgoWIiIjkHguWBma26NgbPceFiIiIWLAQERFRM8CChYiIiOQeCxYiIiKSeyxYiIiISO6xYCEiIiK5x4KFiIiI5B4LFiIiIpJ7LFiIiIhI7rFgISIiIrnHgoWIiIjkHgsWIiIiknssWIiIiEjusWAhIiIiuceChYiIiOQeCxYiIiKSeyxYiIiISO6xYCEiIiK5x4KFiIiI5B4LFiIiIpJ7ik2dwNvCbNEx4et7YYObMBMiIqLmhyMsREREJPdYsBAREZHcY8FCREREco8FCxEREck9FixEREQk91iwEBERkdxjwUJERERyjwULERERyT0WLERERCT36lSwbN26Febm5lBRUUH37t1x7ty5amMTEhIgEokqLb///rtEXExMDGxtbaGsrAxbW1scOnSoLqkRERFRCyRzwXLgwAHMnTsXQUFBuHr1Kt5//30MHDgQGRkZUo9LS0tDVlaWsFhYWAj7EhMTMXLkSPj6+uK3336Dr68vfHx8kJSUJHuPiIiIqMURicVisSwH9OrVC926dcO2bduEbTY2NvD29sbKlSsrxSckJKBv37548uQJdHR0qmxz5MiRyMvLw/Hjx4VtAwYMQJs2bbB///4qjykqKkJRUZGwnpeXB2NjY+Tm5kJLS0uWLtXo1fcA1Qe+S4iIiOilvLw8aGtr1/j5LdMIS3FxMVJSUtC/f3+J7f3798eFCxekHuvo6AhDQ0P069cPp0+fltiXmJhYqU0vLy+pba5cuRLa2trCYmxsLEtXiIiIqBmRqWB5+PAhysrKoK+vL7FdX18f2dnZVR5jaGiIHTt2ICYmBgcPHoSVlRX69euHs2fPCjHZ2dkytQkAgYGByM3NFZbMzExZukJERETNiGJdDhKJRBLrYrG40rYKVlZWsLKyEtZdXFyQmZmJtWvXws3NrU5tAoCysjKUlZXrkj4RERE1MzKNsLRt2xYKCgqVRj5ycnIqjZBI4+zsjD/++ENYNzAweOM2iYiIqOWSqWBp3bo1unfvjvj4eInt8fHxcHV1rXU7V69ehaGhobDu4uJSqc2TJ0/K1GZzYrboWL1fyEtERNSSyTwlFBAQAF9fXzg5OcHFxQU7duxARkYGpk+fDuDltSX379/H3r17AQAREREwMzODnZ0diouL8c033yAmJgYxMTFCm3PmzIGbmxtWrVqFYcOG4fDhw/j5559x/vz5euomERERNWcyFywjR47Eo0ePsHz5cmRlZaFz586Ii4uDqakpACArK0vimSzFxcWYP38+7t+/D1VVVdjZ2eHYsWMYNGiQEOPq6oro6GgEBwdjyZIl6NixIw4cOIBevXrVQxeJiIiouZP5OSzyqrb3cddFQ03f8HksRET0tmuQ57AQERERNQUWLERERCT3WLAQERGR3GPBQkRERHKPBQsRERHJPRYsREREJPdYsBAREZHcY8FCREREco8FCxEREck9FixEREQk92R+lxDVn1cf+c/H9BMREVWPIyxEREQk91iwEBERkdxjwUJERERyjwULERERyT0WLERERCT3WLAQERGR3GPBQkRERHKPBQsRERHJPRYsREREJPdYsBAREZHcY8FCREREco8Fi5wwW3RM4t1CRERE9D8sWIiIiEjusWAhIiIiuceChYiIiOQeCxYiIiKSeyxYiIiISO6xYCEiIiK5x4KFiIiI5B4LFiIiIpJ7LFiIiIhI7rFgkTN84i0REVFlLFiIiIhI7rFgISIiIrmn2NQJEDVrIdr10Ebum7dBRNTC1WmEZevWrTA3N4eKigq6d++Oc+fOVRt78OBBeHp64p133oGWlhZcXFzw008/ScRERkZCJBJVWgoLC+uSHlH9CNGueSEiokYh8wjLgQMHMHfuXGzduhW9e/fG9u3bMXDgQNy8eRMmJiaV4s+ePQtPT0+sWLECOjo62LNnD4YMGYKkpCQ4OjoKcVpaWkhLS5M4VkVFpQ5dIqqjpipAqjovR12IiCTIXLCsW7cOfn5+mDx5MgAgIiICP/30E7Zt24aVK1dWio+IiJBYX7FiBQ4fPowff/xRomARiUQwMDCQNR0iIiJ6C8hUsBQXFyMlJQWLFi2S2N6/f39cuHChVm2Ul5fj2bNn0NXVldien58PU1NTlJWVwcHBAV988YVEQfO6oqIiFBUVCet5eXky9IQI8j2l83puHHEhorecTNewPHz4EGVlZdDX15fYrq+vj+zs7Fq1ER4ejoKCAvj4+AjbrK2tERkZiSNHjmD//v1QUVFB79698ccff1TbzsqVK6GtrS0sxsbGsnSlXpUXl+OvVbfw16pbKC8ub7I8GlJBQTFEorUQidaioKD4rc1BFqWlInz7fXt8+317lJaKmjodqkHp8+f41s4O39rZofT586ZORybNOXei2qrTXUIikeQvX7FYXGlbVfbv34+QkBAcPnwY7dq1E7Y7OzvD2dlZWO/duze6deuGTZs2YePGjVW2FRgYiICAAGE9Ly+vSYuW+vbqw+PuhQ1uwkxILnDEhYjecjIVLG3btoWCgkKl0ZScnJxKoy6vO3DgAPz8/PD999/Dw8NDamyrVq3Qo0cPqSMsysrKUFZWrn3yRERE1GzJVLC0bt0a3bt3R3x8PIYPHy5sj4+Px7Bhw6o9bv/+/Zg0aRL279+PwYNrHi0Qi8VITU1Fly5dZEmPqHryfL1KXfDOIiJ6y8g8JRQQEABfX184OTnBxcUFO3bsQEZGBqZPnw7g5VTN/fv3sXfvXgAvi5Vx48Zhw4YNcHZ2FkZnVFVVoa398pfusmXL4OzsDAsLC+Tl5WHjxo1ITU3Fli1b6qufRERE1IzJXLCMHDkSjx49wvLly5GVlYXOnTsjLi4OpqamAICsrCxkZGQI8du3b0dpaSlmzpyJmTNnCtvHjx+PyMhIAMDTp08xdepUZGdnQ1tbG46Ojjh79ix69uz5ht0jIiKilqBOF93OmDEDM2bMqHJfRRFSISEhocb21q9fj/Xr19clFaKqtbQpoNrghblE1ILx5YdEREQk91iwNANmi45J3OZMRET0tuHbmqlleBungGrCKSIiakE4wkJERERyjyMs1DyFGgGtS5o6CyIiaiQcYSEiIiK5xxEWorcFn45LRM0YC5ZmhC9EJCKitxWnhIiIiEjucYSF5F/FVEaxEoBFTZoKERE1DRYsRG8zPquFiJoJTgkRERGR3GPB0kzxcf1ERPQ24ZQQEf0Pp4iISE6xYCH5w/cCERHRazglRERERHKPIyxEVD0+HZeI5AQLlmaOT78lIqK3AQsWalq8XoWIiGqB17AQERGR3OMISwtSMT3EqSFqULz1mYiaAEdYiIiISO5xhIUaF69ZaXk44kJEjYAjLC0QH9tPREQtDUdYiKh+8dktRNQAWLBQw+IUEBER1QMWLC0YHypHcoPXuRDRG+I1LERERCT3OMLylmiUZ7Rw+odqiyMuRCQjjrAQERGR3OMIy1umXq9r4YgK1RfeWURENeAICxEREck9jrC8xep8XUuoEdC6pAEyInoFr3MholewYCG+NJGaBxYwRG81Fiwk4HNbqFnhdS9EbxUWLFS11z8MipUALGqSVIhqjaMwRC0WCxYCANxTGdPUKRDVPxYwRC1Gne4S2rp1K8zNzaGiooLu3bvj3LlzUuPPnDmD7t27Q0VFBR06dMBXX31VKSYmJga2trZQVlaGra0tDh06VJfUiIiqF6JdeSGiZkHmEZYDBw5g7ty52Lp1K3r37o3t27dj4MCBuHnzJkxMTCrFp6enY9CgQZgyZQq++eYb/Prrr5gxYwbeeecdfPTRRwCAxMREjBw5El988QWGDx+OQ4cOwcfHB+fPn0evXr3evJfEERSi6lQULaUiAO++/HqFEaAo/v/7OSpDJA9kLljWrVsHPz8/TJ48GQAQERGBn376Cdu2bcPKlSsrxX/11VcwMTFBREQEAMDGxgbJyclYu3atULBERETA09MTgYGBAIDAwECcOXMGERER2L9/f1379tZicUJUj+oyCsMih6jeyVSwFBcXIyUlBYsWSV582b9/f1y4cKHKYxITE9G/f3+JbV5eXti1axdKSkqgpKSExMREzJs3r1JMRZFTlaKiIhQVFQnrubkvf0Hk5eXJ0qVaKS96Ln1/cTmAwv/FiuvveXz/UfGT+Zi8oppjZFXwSh/zispRJhbX/0maQQ6yKC0FnpeVAQDyisRQLJPvfN929frvFahVT1nVTmmpCM/LDAEAeUsNoaj4Su6B/23UXIhkVfG5La7hd7pMBcvDhw9RVlYGfX19ie36+vrIzs6u8pjs7Owq40tLS/Hw4UMYGhpWG1NdmwCwcuVKLFu2rNJ2Y2Pj2nanQdzfWr/tydcM+xIAgNG6tz0HWbz8QZyS1sRpUC0153+vanIPk6/fIkTVefbsGbS1q///tU53CYlEIol1sVhcaVtN8a9vl7XNwMBABAQECOvl5eV4/Pgx9PT0pB7XHOTl5cHY2BiZmZnQ0mrcv9QaE/vZsrCfLQv72bLIcz/FYjGePXsGIyMjqXEyFSxt27aFgoJCpZGPnJycSiMkFQwMDKqMV1RUhJ6entSY6toEAGVlZSgrK0ts09HRqW1XmgUtLS25+x+rIbCfLQv72bKwny2LvPZT2shKBZkutmjdujW6d++O+Ph4ie3x8fFwdXWt8hgXF5dK8SdPnoSTkxOUlJSkxlTXJhEREb1dZJ4SCggIgK+vL5ycnODi4oIdO3YgIyMD06dPB/Byqub+/fvYu3cvAGD69OnYvHkzAgICMGXKFCQmJmLXrl0Sd//MmTMHbm5uWLVqFYYNG4bDhw/j559/xvnz5+upm0RERNScyVywjBw5Eo8ePcLy5cuRlZWFzp07Iy4uDqampgCArKwsZGRkCPHm5uaIi4vDvHnzsGXLFhgZGWHjxo3CLc0A4OrqiujoaAQHB2PJkiXo2LEjDhw48NY+g0VZWRlLly6tNOXV0rCfLQv72bKwny1LS+inSFzTfURERERETaz+HhhCRERE1EBYsBAREZHcY8FCREREco8FCxEREck9FixyZOXKlejRowc0NTXRrl07eHt7Iy2tWT4jvNZWrlwJkUiEuXPnNnUqDeL+/fv45JNPoKenBzU1NTg4OCAlJaWp06pXpaWlCA4Ohrm5OVRVVdGhQwcsX74c5eXlTZ3aGzl79iyGDBkCIyMjiEQixMbGSuwXi8UICQmBkZERVFVV0adPH9y4caNpkn0D0vpZUlKChQsXokuXLlBXV4eRkRHGjRuHv//+u+kSrqOa/j1fNW3aNIhEIqnvs5NXtennrVu3MHToUGhra0NTUxPOzs4Sd/fKKxYscuTMmTOYOXMmLl68iPj4eJSWlqJ///4oKCho6tQaxOXLl7Fjxw7Y29s3dSoN4smTJ+jduzeUlJRw/Phx3Lx5E+Hh4S3uicyrVq3CV199hc2bN+PWrVtYvXo11qxZg02bNjV1am+koKAAXbt2xebNm6vcv3r1aqxbtw6bN2/G5cuXYWBgAE9PTzx79qyRM30z0vr5/PlzXLlyBUuWLMGVK1dw8OBB3L59G0OHDm2CTN9MTf+eFWJjY5GUlFTjY+LlVU39vHv3Lt577z1YW1sjISEBv/32G5YsWQIVFZVGzrQOxCS3cnJyxADEZ86caepU6t2zZ8/EFhYW4vj4eLG7u7t4zpw5TZ1SvVu4cKH4vffea+o0GtzgwYPFkyZNktg2YsQI8SeffNJEGdU/AOJDhw4J6+Xl5WIDAwNxWFiYsK2wsFCsra0t/uqrr5ogw/rxej+rcunSJTEA8V9//dU4STWA6vr53//+V/zuu++K//Of/4hNTU3F69evb/Tc6lNV/Rw5cmSz/dnkCIscy83NBQDo6uo2cSb1b+bMmRg8eDA8PDyaOpUGc+TIETg5OeHjjz9Gu3bt4OjoiK+//rqp06p37733Hk6dOoXbt28DAH777TecP38egwYNauLMGk56ejqys7PRv39/YZuysjLc3d1x4cKFJsys4eXm5kIkErW4kcLy8nL4+vpiwYIFsLOza+p0GkR5eTmOHTsGS0tLeHl5oV27dujVq5fU6TF5woJFTonFYgQEBOC9995D586dmzqdehUdHY0rV65g5cqVTZ1Kg/rzzz+xbds2WFhY4KeffsL06dPh7+8vvLaipVi4cCFGjx4Na2trKCkpwdHREXPnzsXo0aObOrUGU/Gy1tdf0Kqvr1/pRa4tSWFhIRYtWoQxY8bI5Qv03sSqVaugqKgIf3//pk6lweTk5CA/Px9hYWEYMGAATp48ieHDh2PEiBE4c+ZMU6dXI5kfzU+NY9asWbh27VqLe59SZmYm5syZg5MnTzaPOdM3UF5eDicnJ6xYsQIA4OjoiBs3bmDbtm0YN25cE2dXfw4cOIBvvvkG3377Lezs7JCamoq5c+fCyMgI48ePb+r0GpRIJJJYF4vFlba1FCUlJRg1ahTKy8uxdevWpk6nXqWkpGDDhg24cuVKi/33AyBcCD9s2DDMmzcPAODg4IALFy7gq6++gru7e1OmVyOOsMih2bNn48iRIzh9+jTat2/f1OnUq5SUFOTk5KB79+5QVFSEoqIizpw5g40bN0JRURFlZWVNnWK9MTQ0hK2trcQ2GxubZnE1viwWLFiARYsWYdSoUejSpQt8fX0xb968Fj2CZmBgAACVRlNycnIqjbq0BCUlJfDx8UF6ejri4+Nb3OjKuXPnkJOTAxMTE+H30l9//YVPP/0UZmZmTZ1evWnbti0UFRWb7e8ljrDIEbFYjNmzZ+PQoUNISEiAubl5U6dU7/r164fr169LbJs4cSKsra2xcOFCKCgoNFFm9a93796Vbku/ffu28KLQluL58+do1Urybx8FBYVmf1uzNObm5jAwMEB8fDwcHR0BAMXFxThz5gxWrVrVxNnVr4pi5Y8//sDp06ehp6fX1CnVO19f30rX03l5ecHX1xcTJ05soqzqX+vWrdGjR49m+3uJBYscmTlzJr799lscPnwYmpqawl9v2traUFVVbeLs6oempmala3LU1dWhp6fX4q7VmTdvHlxdXbFixQr4+Pjg0qVL2LFjB3bs2NHUqdWrIUOGIDQ0FCYmJrCzs8PVq1exbt06TJo0qalTeyP5+fm4c+eOsJ6eno7U1FTo6urCxMQEc+fOxYoVK2BhYQELCwusWLECampqGDNmTBNmLTtp/TQyMsK//vUvXLlyBUePHkVZWZnwe0lXVxetW7duqrRlVtO/5+uFmJKSEgwMDGBlZdXYqb6Rmvq5YMECjBw5Em5ubujbty9OnDiBH3/8EQkJCU2XdG018V1K9AoAVS579uxp6tQaVEu9rVksFot//PFHcefOncXKyspia2tr8Y4dO5o6pXqXl5cnnjNnjtjExESsoqIi7tChgzgoKEhcVFTU1Km9kdOnT1f58zh+/HixWPzy1ualS5eKDQwMxMrKymI3Nzfx9evXmzbpOpDWz/T09Gp/L50+fbqpU5dJTf+er2uutzXXpp+7du0Sd+rUSayioiLu2rWrODY2tukSloFILBaLG74sIiIiIqo7XnRLREREco8FCxEREck9FixEREQk91iwEBERkdxjwUJERERyjwULERERyT0WLERERCT3WLAQERGR3GPBQkSCPn36YO7cuVJjzMzMEBERUW/nrI/2IiMjoaOjI9MxIpEIsbGxb3ReImo8LFiIiIhI7rFgISIiIrnHgoWIJJSWlmLWrFnQ0dGBnp4egoODIe2VYxkZGRg2bBg0NDSgpaUFHx8fPHjwQCLmyJEjcHJygoqKCtq2bYsRI0ZU296ePXugra2N+Pj4amMiIyNhYmICNTU1DB8+HI8ePaoU8+OPP6J79+5QUVFBhw4dsGzZMpSWllbb5sKFC2FpaQk1NTV06NABS5YsQUlJCQDg3r17aNWqFZKTkyWO2bRpE0xNTaV+f4iofrBgISIJUVFRUFRURFJSEjZu3Ij169dj586dVcaKxWJ4e3vj8ePHOHPmDOLj43H37l2MHDlSiDl27BhGjBiBwYMH4+rVqzh16hScnJyqbG/t2rWYP38+fvrpJ3h6elYZk5SUhEmTJmHGjBlITU1F37598eWXX0rE/PTTT/jkk0/g7++PmzdvYvv27YiMjERoaGi1/dbU1ERkZCRu3ryJDRs24Ouvv8b69esBvLzOxsPDA3v27JE4Zs+ePZgwYQJEIlG17RJRPWnSd0UTkVxxd3cX29jYiMvLy4VtCxcuFNvY2Ajrpqam4vXr14vFYrH45MmTYgUFBXFGRoaw/8aNG2IA4kuXLonFYrHYxcVFPHbs2GrPWdHeokWLxIaGhuJr165JzXH06NHiAQMGSGwbOXKkWFtbW1h///33xStWrJCI2bdvn9jQ0FBYByA+dOhQtedZvXq1uHv37sL6gQMHxG3atBEXFhaKxWKxODU1VSwSicTp6elS8yWi+sERFiKS4OzsLDFi4OLigj/++ANlZWWVYm/dugVjY2MYGxsL22xtbaGjo4Nbt24BAFJTU9GvXz+p5wwPD8f27dtx/vx5dOnSRWrsrVu34OLiIrHt9fWUlBQsX74cGhoawjJlyhRkZWXh+fPnVbb7ww8/4L333oOBgQE0NDSwZMkSZGRkCPu9vb2hqKiIQ4cOAQB2796Nvn37wszMTGq+RFQ/WLAQUZ2JxeIqp0Ne3a6qqlpjO++//z7Kysrw3Xff1eqcNSkvL8eyZcuQmpoqLNevX8cff/wBFRWVSvEXL17EqFGjMHDgQBw9ehRXr15FUFAQiouLhZjWrVvD19cXe/bsQXFxMb799ltMmjSpxlyIqH4oNnUCRCRfLl68WGndwsICCgoKlWJtbW2RkZGBzMxMYZTl5s2byM3NhY2NDQDA3t4ep06dwsSJE6s9Z8+ePTF79mx4eXlBQUEBCxYsqDbW1ta2yhxf1a1bN6SlpaFTp07SO/v//frrrzA1NUVQUJCw7a+//qoUN3nyZHTu3Blbt25FSUmJ1IuHiah+sWAhIgmZmZkICAjAtGnTcOXKFWzatAnh4eFVxnp4eMDe3h5jx45FREQESktLMWPGDLi7uwsX1i5duhT9+vVDx44dMWrUKJSWluL48eP47LPPJNpycXHB8ePHMWDAACgqKmLevHlVntPf3x+urq5YvXo1vL29cfLkSZw4cUIi5vPPP8eHH34IY2NjfPzxx2jVqhWuXbuG69evV7pAFwA6deqEjIwMREdHo0ePHjh27Jgw9fMqGxsbODs7Y+HChZg0aVKtRo+IqH5wSoiIJIwbNw4vXrxAz549MXPmTMyePRtTp06tMrbiabFt2rSBm5sbPDw80KFDBxw4cECI6dOnD77//nscOXIEDg4O+OCDD5CUlFRle71798axY8ewZMkSbNy4scoYZ2dn7Ny5E5s2bYKDgwNOnjyJ4OBgiRgvLy8cPXoU8fHx6NGjB5ydnbFu3TqYmppW2eawYcMwb948zJo1Cw4ODrhw4QKWLFlSZayfnx+Ki4s5HUTUyETi2kwIExERACA0NBTR0dG4fv16U6dC9FbhCAsRUS3k5+fj8uXL2LRpE/z9/Zs6HaK3DgsWIqJamDVrFt577z24u7tzOoioCXBKiIiIiOQeR1iIiIhI7rFgISIiIrnHgoWIiIjkHgsWIiIiknssWIiIiEjusWAhIiIiuceChYiIiOQeCxYiIiKSe/8PFr5zWHK/27wAAAAASUVORK5CYII=", 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" ] @@ -1239,48 +1035,62 @@ } ], "source": [ - "cardano_params = replace(nomos_params, f=1/20, SLOTS=10 * 2160 * 20)\n", - "cardano_net = replace(nomos_net, blend_hops=0)\n", + "N = 100\n", + "M = 10000\n", + "no_blend_samples = no_blend_net.empirical_network_delay()\n", + "no_blend_mean = no_blend_samples.mean()\n", + "blend_samples = blend_net.empirical_network_delay()\n", + "blend_mean = blend_samples.mean()\n", "\n", - "cardano_sim = Sim(\n", - " params=cardano_params,\n", - " network=cardano_net\n", - ")\n", - "cardano_sim.run(seed=0)\n", + "_ = plt.hist(no_blend_samples, bins=100, density=True, label=\"no-blend\")\n", + "_ = plt.hist(blend_samples, bins=100, density=True, label=\"blend\")\n", "\n", - "cardano_reorgs = cardano_sim.adverserial_analysis()\n", + "for p in [50, 99, 99.9]:\n", + " no_blend_pct = np.percentile(no_blend_samples, p)\n", + " _ = plt.vlines(no_blend_pct, ymin=0, ymax=0.25, color='darkblue', label=f\"no-blend {p}p={no_blend_pct:.1f}s\")\n", "\n", - "plt.hist(np.bincount(cardano_reorgs))\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "1a68a180-9800-4cd1-9d07-9aaa20162cac", - "metadata": {}, - "outputs": [ - { - "ename": "NameError", - "evalue": "name 'test_params' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "File \u001b[0;32m:1\u001b[0m\n", - "\u001b[0;31mNameError\u001b[0m: name 'test_params' is not defined" - ] - } - ], - "source": [ - "%%time\n", - "test_params(nomos_params, nomos_net)" + "for p in [50, 99, 99.9]:\n", + " blend_pct = np.percentile(blend_samples, p)\n", + " _ = plt.vlines(blend_pct, ymin=0, ymax=0.25, color='brown', label=f\"blend {p}p={blend_pct:.1f}s\")\n", + "# _ = plt.vlines(blend_mean, ymin=0, ymax=1, color='brown', label=f\"blend 50p={blend_mean:.1f}s\")\n", + "# _ = plt.hist(blend_net.block_arrival_slot(np.zeros(1000)), bins=100, density=True, label=\"blend\")\n", + "_ = plt.legend()\n", + "_ = plt.xlabel(\"block delay\")" ] }, { "cell_type": "code", "execution_count": null, - "id": "fdc9ae28-5c4f-4ffd-a090-ae7a7225ec4c", + "id": "fa860b3d-6cb1-4ee5-a534-ab6fe4440a46", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "48350036-439a-4954-9021-e55b7b5f004a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 + 1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "efdd3166-892f-4f0e-b80f-ba279e3a02f2", "metadata": {}, "outputs": [], "source": [] @@ -1302,7 +1112,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.9" + "version": "3.12.10" } }, "nbformat": 4,