{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "2cd0de88-d314-433d-bf0b-ada46405c6f4",
   "metadata": {},
   "source": [
    "# Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3b26d339-8e2d-4f7e-8dbf-24c649932de4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "%pip install -q huggingface-hub plotly numpy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "afe2dc35-6aae-4096-830a-0e8ed44de157",
   "metadata": {},
   "outputs": [],
   "source": [
    "from huggingface_hub import login\n",
    "\n",
    "login()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4195315a-8616-47b0-a7a4-9792caeaff8e",
   "metadata": {},
   "source": [
    "# Create Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "b7aebf99-b8fb-4892-90e2-2261202ac576",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "line": {
          "color": "#B0C4DE",
          "width": 3
         },
         "mode": "lines",
         "name": "Low Usage",
         "type": "scatter",
         "x": [
          0,
          0.1,
          0.2,
          0.30000000000000004,
          0.4,
          0.5,
          0.6000000000000001,
          0.7000000000000001,
          0.8,
          0.9,
          1,
          1.1,
          1.2000000000000002,
          1.3,
          1.4000000000000001,
          1.5,
          1.6,
          1.7000000000000002,
          1.8,
          1.9000000000000001,
          2,
          2.1,
          2.2,
          2.3000000000000003,
          2.4000000000000004,
          2.5,
          2.6,
          2.7,
          2.8000000000000003,
          2.9000000000000004,
          3,
          3.1,
          3.2,
          3.3000000000000003,
          3.4000000000000004,
          3.5,
          3.6,
          3.7,
          3.8000000000000003,
          3.9000000000000004,
          4,
          4.1000000000000005,
          4.2,
          4.3,
          4.4,
          4.5,
          4.6000000000000005,
          4.7,
          4.800000000000001,
          4.9,
          5,
          5.1000000000000005,
          5.2,
          5.300000000000001,
          5.4,
          5.5,
          5.6000000000000005,
          5.7,
          5.800000000000001,
          5.9,
          6,
          6.1000000000000005,
          6.2,
          6.300000000000001,
          6.4,
          6.5,
          6.6000000000000005,
          6.7,
          6.800000000000001,
          6.9,
          7,
          7.1000000000000005,
          7.2,
          7.300000000000001,
          7.4,
          7.5,
          7.6000000000000005,
          7.7,
          7.800000000000001,
          7.9,
          8,
          8.1,
          8.200000000000001,
          8.3,
          8.4,
          8.5,
          8.6,
          8.700000000000001,
          8.8,
          8.9,
          9,
          9.1,
          9.200000000000001,
          9.3,
          9.4,
          9.5,
          9.600000000000001,
          9.700000000000001,
          9.8,
          9.9,
          10,
          10.100000000000001,
          10.200000000000001,
          10.3,
          10.4,
          10.5,
          10.600000000000001,
          10.700000000000001,
          10.8,
          10.9,
          11,
          11.100000000000001,
          11.200000000000001,
          11.3,
          11.4,
          11.5,
          11.600000000000001,
          11.700000000000001,
          11.8,
          11.9,
          12,
          12.100000000000001,
          12.200000000000001,
          12.3,
          12.4,
          12.5,
          12.600000000000001,
          12.700000000000001,
          12.8,
          12.9,
          13,
          13.100000000000001,
          13.200000000000001,
          13.3,
          13.4,
          13.5,
          13.600000000000001,
          13.700000000000001,
          13.8,
          13.9,
          14,
          14.100000000000001,
          14.200000000000001,
          14.3,
          14.4,
          14.5,
          14.600000000000001,
          14.700000000000001,
          14.8,
          14.9,
          15,
          15.100000000000001,
          15.200000000000001,
          15.3,
          15.4,
          15.5,
          15.600000000000001,
          15.700000000000001,
          15.8,
          15.9,
          16,
          16.1,
          16.2,
          16.3,
          16.400000000000002,
          16.5,
          16.6,
          16.7,
          16.8,
          16.900000000000002,
          17,
          17.1,
          17.2,
          17.3,
          17.400000000000002,
          17.5,
          17.6,
          17.7,
          17.8,
          17.900000000000002,
          18,
          18.1,
          18.2,
          18.3,
          18.400000000000002,
          18.5,
          18.6,
          18.7,
          18.8,
          18.900000000000002,
          19,
          19.1,
          19.200000000000003,
          19.3,
          19.400000000000002,
          19.5,
          19.6,
          19.700000000000003,
          19.8,
          19.900000000000002,
          20,
          20.1,
          20.200000000000003,
          20.3,
          20.400000000000002,
          20.5,
          20.6,
          20.700000000000003,
          20.8,
          20.900000000000002,
          21,
          21.1,
          21.200000000000003,
          21.3,
          21.400000000000002,
          21.5,
          21.6,
          21.700000000000003,
          21.8,
          21.900000000000002,
          22,
          22.1,
          22.200000000000003,
          22.3,
          22.400000000000002,
          22.5,
          22.6,
          22.700000000000003,
          22.8,
          22.900000000000002,
          23,
          23.1,
          23.200000000000003,
          23.3,
          23.400000000000002,
          23.5,
          23.6,
          23.700000000000003,
          23.8,
          23.900000000000002
         ],
         "y": [
          4,
          4,
          4,
          4,
          4,
          4,
          4,
          4,
          4,
          4,
          4,
          4,
          4.58,
          4.58,
          4.58,
          4.58,
          4.58,
          4.58,
          5.26,
          5.26,
          5.26,
          5.26,
          5.26,
          5.260000000000001,
          6.080000000000001,
          6.080000000000001,
          6.080000000000001,
          6.080000000000001,
          6.660000000000001,
          6.660000000000001,
          6.660000000000001,
          6.660000000000001,
          6.660000000000001,
          5.98,
          6.62,
          6.62,
          6.620000000000001,
          6,
          5.280000000000001,
          6.020000000000001,
          6.020000000000001,
          6.0200000000000005,
          6.02,
          6.02,
          5.38,
          5.38,
          5.38,
          4.82,
          5.680000000000001,
          5.680000000000001,
          4.9,
          4.9,
          4.9,
          4.9,
          4.9,
          4.9,
          5.5600000000000005,
          5.5600000000000005,
          5.5600000000000005,
          5.5600000000000005,
          6.12,
          6.12,
          5.54,
          5.54,
          5.54,
          5.54,
          5.54,
          5.54,
          4.86,
          4.86,
          4.86,
          4.86,
          4.86,
          4.86,
          4.04,
          4.04,
          4.04,
          4.04,
          4.26,
          4.26,
          4.26,
          4.26,
          4.26,
          4.26,
          3.62,
          4.28,
          4.28,
          4.9799999999999995,
          5.76,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          4.16,
          4.16,
          4.16,
          4.16,
          4.86,
          4.86,
          4.86,
          4.86,
          4.88,
          4.88,
          4.880000000000001,
          4.880000000000001,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          5.0200000000000005,
          4.220000000000001,
          4.220000000000001,
          4.220000000000001,
          4.220000000000001,
          4.220000000000001,
          4.220000000000001,
          4.800000000000001,
          4.140000000000001,
          4.140000000000001,
          3.4400000000000004,
          3.4200000000000004,
          3.4200000000000004,
          3.42,
          3.42,
          3.42,
          3.42,
          3.42,
          3.42,
          3.42,
          3.42,
          4.140000000000001,
          4.140000000000001,
          4.140000000000001,
          4.140000000000001,
          3.4400000000000004,
          3.4400000000000004,
          4.12,
          4.12,
          4.04,
          4.04,
          4.04,
          4.58,
          3.88,
          3.88,
          3.88,
          3.88,
          3.88,
          3.88,
          3.88,
          3.88,
          3.88,
          3.88,
          3.88,
          3.88,
          3.88,
          3.88,
          3.88,
          3.88,
          3.88,
          3.88,
          4.56,
          4.56,
          4.56,
          4.56,
          4.56,
          4.56,
          3.98,
          3.98,
          3.98,
          3.98,
          3.2199999999999998,
          3.2199999999999998,
          3.2199999999999998,
          3.2199999999999998,
          3.2199999999999998,
          3.84,
          3.84,
          3.84,
          4.54,
          4.54,
          3.8200000000000003,
          3.8200000000000003,
          3.8200000000000003,
          3.8200000000000003,
          4.5600000000000005,
          4.5600000000000005,
          3.88,
          4.54,
          3.9400000000000004,
          3.9400000000000004,
          3.9400000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          3.4000000000000004,
          2.7199999999999998,
          2.7199999999999998,
          2.7199999999999998,
          2.7199999999999998,
          2.7199999999999998,
          2.7199999999999998,
          2.72,
          2.72,
          2.72,
          2.72,
          2.72,
          2.7199999999999998
         ]
        },
        {
         "line": {
          "color": "#FFB6C1",
          "width": 3
         },
         "mode": "lines",
         "name": "Bursty Usage",
         "type": "scatter",
         "x": [
          0,
          0.1,
          0.2,
          0.30000000000000004,
          0.4,
          0.5,
          0.6000000000000001,
          0.7000000000000001,
          0.8,
          0.9,
          1,
          1.1,
          1.2000000000000002,
          1.3,
          1.4000000000000001,
          1.5,
          1.6,
          1.7000000000000002,
          1.8,
          1.9000000000000001,
          2,
          2.1,
          2.2,
          2.3000000000000003,
          2.4000000000000004,
          2.5,
          2.6,
          2.7,
          2.8000000000000003,
          2.9000000000000004,
          3,
          3.1,
          3.2,
          3.3000000000000003,
          3.4000000000000004,
          3.5,
          3.6,
          3.7,
          3.8000000000000003,
          3.9000000000000004,
          4,
          4.1000000000000005,
          4.2,
          4.3,
          4.4,
          4.5,
          4.6000000000000005,
          4.7,
          4.800000000000001,
          4.9,
          5,
          5.1000000000000005,
          5.2,
          5.300000000000001,
          5.4,
          5.5,
          5.6000000000000005,
          5.7,
          5.800000000000001,
          5.9,
          6,
          6.1000000000000005,
          6.2,
          6.300000000000001,
          6.4,
          6.5,
          6.6000000000000005,
          6.7,
          6.800000000000001,
          6.9,
          7,
          7.1000000000000005,
          7.2,
          7.300000000000001,
          7.4,
          7.5,
          7.6000000000000005,
          7.7,
          7.800000000000001,
          7.9,
          8,
          8.1,
          8.200000000000001,
          8.3,
          8.4,
          8.5,
          8.6,
          8.700000000000001,
          8.8,
          8.9,
          9,
          9.1,
          9.200000000000001,
          9.3,
          9.4,
          9.5,
          9.600000000000001,
          9.700000000000001,
          9.8,
          9.9,
          10,
          10.100000000000001,
          10.200000000000001,
          10.3,
          10.4,
          10.5,
          10.600000000000001,
          10.700000000000001,
          10.8,
          10.9,
          11,
          11.100000000000001,
          11.200000000000001,
          11.3,
          11.4,
          11.5,
          11.600000000000001,
          11.700000000000001,
          11.8,
          11.9,
          12,
          12.100000000000001,
          12.200000000000001,
          12.3,
          12.4,
          12.5,
          12.600000000000001,
          12.700000000000001,
          12.8,
          12.9,
          13,
          13.100000000000001,
          13.200000000000001,
          13.3,
          13.4,
          13.5,
          13.600000000000001,
          13.700000000000001,
          13.8,
          13.9,
          14,
          14.100000000000001,
          14.200000000000001,
          14.3,
          14.4,
          14.5,
          14.600000000000001,
          14.700000000000001,
          14.8,
          14.9,
          15,
          15.100000000000001,
          15.200000000000001,
          15.3,
          15.4,
          15.5,
          15.600000000000001,
          15.700000000000001,
          15.8,
          15.9,
          16,
          16.1,
          16.2,
          16.3,
          16.400000000000002,
          16.5,
          16.6,
          16.7,
          16.8,
          16.900000000000002,
          17,
          17.1,
          17.2,
          17.3,
          17.400000000000002,
          17.5,
          17.6,
          17.7,
          17.8,
          17.900000000000002,
          18,
          18.1,
          18.2,
          18.3,
          18.400000000000002,
          18.5,
          18.6,
          18.7,
          18.8,
          18.900000000000002,
          19,
          19.1,
          19.200000000000003,
          19.3,
          19.400000000000002,
          19.5,
          19.6,
          19.700000000000003,
          19.8,
          19.900000000000002,
          20,
          20.1,
          20.200000000000003,
          20.3,
          20.400000000000002,
          20.5,
          20.6,
          20.700000000000003,
          20.8,
          20.900000000000002,
          21,
          21.1,
          21.200000000000003,
          21.3,
          21.400000000000002,
          21.5,
          21.6,
          21.700000000000003,
          21.8,
          21.900000000000002,
          22,
          22.1,
          22.200000000000003,
          22.3,
          22.400000000000002,
          22.5,
          22.6,
          22.700000000000003,
          22.8,
          22.900000000000002,
          23,
          23.1,
          23.200000000000003,
          23.3,
          23.400000000000002,
          23.5,
          23.6,
          23.700000000000003,
          23.8,
          23.900000000000002
         ],
         "y": [
          10.16,
          10.16,
          10.16,
          10.16,
          11.72,
          11.72,
          11.72,
          12.96,
          14.360000000000001,
          14.360000000000001,
          14.360000000000001,
          14.360000000000001,
          14.360000000000001,
          14.360000000000001,
          14.360000000000001,
          14.360000000000001,
          14.360000000000001,
          14.360000000000001,
          14.360000000000001,
          14.360000000000001,
          14.360000000000001,
          14.360000000000001,
          14.360000000000001,
          14.36,
          14.36,
          14.36,
          14.36,
          12.9,
          14.38,
          14.38,
          13.16,
          13.16,
          11.56,
          11.56,
          11.56,
          11.56,
          11.56,
          13.06,
          13.06,
          11.600000000000001,
          11.600000000000001,
          12.940000000000001,
          14.420000000000002,
          14.420000000000002,
          14.420000000000002,
          13.02,
          11.54,
          12.979999999999999,
          12.979999999999999,
          11.44,
          11.44,
          11.44,
          12.84,
          14.56,
          13,
          14.62,
          15.94,
          14.700000000000001,
          13.3,
          13.299999999999999,
          13.299999999999999,
          13.299999999999999,
          13.299999999999999,
          13.299999999999999,
          14.54,
          14.54,
          15.959999999999999,
          15.959999999999999,
          15.959999999999999,
          15.959999999999999,
          15.959999999999999,
          15.959999999999999,
          15.959999999999999,
          17.16,
          17.16,
          17.16,
          17.16,
          17.16,
          15.68,
          15.68,
          15.68,
          15.68,
          15.68,
          15.68,
          15.68,
          17.3,
          17.3,
          17.3,
          17.3,
          18.84,
          18.84,
          17.5,
          17.46,
          17.46,
          17.46,
          17.46,
          18.880000000000003,
          17.44,
          17.439999999999998,
          18.979999999999997,
          20.379999999999995,
          20.38,
          18.98,
          17.259999999999998,
          17.259999999999998,
          15.64,
          14.32,
          15.9,
          15.9,
          15.9,
          15.9,
          15.9,
          15.9,
          17.22,
          15.98,
          17.26,
          15.84,
          17.080000000000002,
          18.6,
          18.599999999999998,
          18.6,
          18.6,
          18.6,
          19.16,
          20.28,
          20.28,
          20.28,
          20.28,
          20.28,
          20.28,
          20.28,
          20.28,
          20.28,
          20.28,
          20.28,
          18.660000000000004,
          18.660000000000004,
          17.16,
          17.16,
          15.620000000000001,
          15.620000000000001,
          15.620000000000001,
          14.180000000000001,
          14.180000000000001,
          14.180000000000001,
          14.180000000000001,
          12.760000000000002,
          12.760000000000002,
          12.760000000000002,
          12.620000000000001,
          11.22,
          12.360000000000001,
          12.360000000000001,
          12.36,
          13.62,
          15.159999999999998,
          15.159999999999998,
          13.58,
          13.58,
          15.02,
          15.02,
          15.020000000000001,
          15.020000000000001,
          13.700000000000001,
          13.700000000000001,
          12.42,
          12.42,
          11.18,
          9.66,
          10.9,
          10.9,
          12.400000000000002,
          12.400000000000002,
          10.64,
          9.520000000000001,
          11.000000000000002,
          12.620000000000001,
          12.62,
          14.06,
          15.24,
          15.24,
          15.240000000000002,
          15.240000000000002,
          15.240000000000002,
          16.64,
          16.64,
          16.64,
          16.64,
          16.64,
          16.64,
          16.64,
          16.64,
          16.64,
          16.64,
          16.64,
          16.64,
          16.64,
          17.900000000000002,
          17.900000000000002,
          16.5,
          16.5,
          15.360000000000001,
          15.360000000000001,
          15.360000000000001,
          14.100000000000001,
          13.88,
          15.38,
          15.38,
          15.38,
          13.940000000000001,
          13.940000000000001,
          13.940000000000001,
          13.940000000000001,
          15.48,
          15.48,
          15.48,
          15.48,
          15.48,
          15.48,
          14.24,
          14.24,
          12.74,
          12.74,
          12.74,
          12.74,
          11.26,
          9.639999999999999,
          9.639999999999999,
          8.2,
          7.0200000000000005,
          7.0200000000000005,
          7.0200000000000005,
          7.0200000000000005,
          7.0200000000000005,
          5.62,
          5.62,
          5.62,
          5.62,
          5.62,
          5.62
         ]
        },
        {
         "line": {
          "color": "#98FB98",
          "width": 3
         },
         "mode": "lines",
         "name": "High Volume",
         "type": "scatter",
         "x": [
          0,
          0.1,
          0.2,
          0.30000000000000004,
          0.4,
          0.5,
          0.6000000000000001,
          0.7000000000000001,
          0.8,
          0.9,
          1,
          1.1,
          1.2000000000000002,
          1.3,
          1.4000000000000001,
          1.5,
          1.6,
          1.7000000000000002,
          1.8,
          1.9000000000000001,
          2,
          2.1,
          2.2,
          2.3000000000000003,
          2.4000000000000004,
          2.5,
          2.6,
          2.7,
          2.8000000000000003,
          2.9000000000000004,
          3,
          3.1,
          3.2,
          3.3000000000000003,
          3.4000000000000004,
          3.5,
          3.6,
          3.7,
          3.8000000000000003,
          3.9000000000000004,
          4,
          4.1000000000000005,
          4.2,
          4.3,
          4.4,
          4.5,
          4.6000000000000005,
          4.7,
          4.800000000000001,
          4.9,
          5,
          5.1000000000000005,
          5.2,
          5.300000000000001,
          5.4,
          5.5,
          5.6000000000000005,
          5.7,
          5.800000000000001,
          5.9,
          6,
          6.1000000000000005,
          6.2,
          6.300000000000001,
          6.4,
          6.5,
          6.6000000000000005,
          6.7,
          6.800000000000001,
          6.9,
          7,
          7.1000000000000005,
          7.2,
          7.300000000000001,
          7.4,
          7.5,
          7.6000000000000005,
          7.7,
          7.800000000000001,
          7.9,
          8,
          8.1,
          8.200000000000001,
          8.3,
          8.4,
          8.5,
          8.6,
          8.700000000000001,
          8.8,
          8.9,
          9,
          9.1,
          9.200000000000001,
          9.3,
          9.4,
          9.5,
          9.600000000000001,
          9.700000000000001,
          9.8,
          9.9,
          10,
          10.100000000000001,
          10.200000000000001,
          10.3,
          10.4,
          10.5,
          10.600000000000001,
          10.700000000000001,
          10.8,
          10.9,
          11,
          11.100000000000001,
          11.200000000000001,
          11.3,
          11.4,
          11.5,
          11.600000000000001,
          11.700000000000001,
          11.8,
          11.9,
          12,
          12.100000000000001,
          12.200000000000001,
          12.3,
          12.4,
          12.5,
          12.600000000000001,
          12.700000000000001,
          12.8,
          12.9,
          13,
          13.100000000000001,
          13.200000000000001,
          13.3,
          13.4,
          13.5,
          13.600000000000001,
          13.700000000000001,
          13.8,
          13.9,
          14,
          14.100000000000001,
          14.200000000000001,
          14.3,
          14.4,
          14.5,
          14.600000000000001,
          14.700000000000001,
          14.8,
          14.9,
          15,
          15.100000000000001,
          15.200000000000001,
          15.3,
          15.4,
          15.5,
          15.600000000000001,
          15.700000000000001,
          15.8,
          15.9,
          16,
          16.1,
          16.2,
          16.3,
          16.400000000000002,
          16.5,
          16.6,
          16.7,
          16.8,
          16.900000000000002,
          17,
          17.1,
          17.2,
          17.3,
          17.400000000000002,
          17.5,
          17.6,
          17.7,
          17.8,
          17.900000000000002,
          18,
          18.1,
          18.2,
          18.3,
          18.400000000000002,
          18.5,
          18.6,
          18.7,
          18.8,
          18.900000000000002,
          19,
          19.1,
          19.200000000000003,
          19.3,
          19.400000000000002,
          19.5,
          19.6,
          19.700000000000003,
          19.8,
          19.900000000000002,
          20,
          20.1,
          20.200000000000003,
          20.3,
          20.400000000000002,
          20.5,
          20.6,
          20.700000000000003,
          20.8,
          20.900000000000002,
          21,
          21.1,
          21.200000000000003,
          21.3,
          21.400000000000002,
          21.5,
          21.6,
          21.700000000000003,
          21.8,
          21.900000000000002,
          22,
          22.1,
          22.200000000000003,
          22.3,
          22.400000000000002,
          22.5,
          22.6,
          22.700000000000003,
          22.8,
          22.900000000000002,
          23,
          23.1,
          23.200000000000003,
          23.3,
          23.400000000000002,
          23.5,
          23.6,
          23.700000000000003,
          23.8,
          23.900000000000002
         ],
         "y": [
          13.246046892639484,
          13.859381397689463,
          14.32098013662908,
          14.800216492923663,
          15.283520202340618,
          15.904730868862575,
          16.280233673884066,
          17.024876071240264,
          17.623800047874887,
          18.16442677186393,
          18.68558419182079,
          19.230572977060827,
          19.792051547047382,
          20.362216638063888,
          20.926108950684128,
          21.457379598371997,
          21.968565908950485,
          22.482976779094738,
          22.99433319947005,
          23.598697106250743,
          24.165246076810405,
          24.484418872383905,
          25.055331926740987,
          25.5939634603713,
          26.117653847420087,
          26.615457555703866,
          26.87126557269513,
          26.957612720575337,
          26.82644410937779,
          26.71785344768106,
          26.735905947874837,
          26.604563730713057,
          26.59326525696636,
          26.661049184834447,
          26.542663903719582,
          26.683787806114054,
          26.716782734888792,
          26.720176692963257,
          26.599267938551897,
          26.622643695936112,
          26.657108824936763,
          26.737324617743237,
          26.801709667859303,
          26.8753143964482,
          26.85640573868619,
          26.95718897889139,
          26.928935463170806,
          26.86925263454281,
          26.779014429512696,
          26.730468805027435,
          26.807318598553714,
          26.70886778655365,
          26.716799653144033,
          26.74100598977472,
          26.650149253670996,
          26.568869146665143,
          26.71845072491901,
          26.441612123388037,
          26.41383534354368,
          26.463838529188497,
          26.35515191872581,
          26.281772398986142,
          26.191453864514475,
          26.08049555642035,
          26.09966648273533,
          26.07982800533337,
          26.075125655863136,
          25.94544442021041,
          26.003567261949748,
          25.83745526752931,
          25.800101581088292,
          26.025345171171864,
          26.074678218523484,
          25.969429256954832,
          25.75937301899859,
          25.799438778847566,
          25.846786671154305,
          25.86718606351147,
          25.935963659328344,
          25.873055466235385,
          25.99757001941789,
          26.0259950569738,
          26.10321030655003,
          26.0782256746249,
          26.085721614973497,
          26.24298183829046,
          26.219694250913616,
          26.147934317016045,
          26.19104782682821,
          26.0369779353588,
          25.932319349416627,
          25.85086918566176,
          25.730959061803112,
          25.6920426335414,
          25.609871863746733,
          25.613433493777293,
          25.615304476469,
          25.67638467957524,
          25.664846736895402,
          25.72785326990198,
          25.83287262767692,
          25.782289819527243,
          25.791691059761973,
          25.79198754482234,
          25.830329606865977,
          25.758050997169367,
          25.724631152745886,
          25.843034599570554,
          25.815266695810422,
          25.763188079972288,
          25.935280127829873,
          25.979054837141554,
          26.060227341121685,
          26.11879503549403,
          26.079307161016782,
          26.05208188469807,
          25.89988072251046,
          26.03075154666589,
          26.085864654078243,
          26.237447819874898,
          26.300830359677636,
          26.367943124546997,
          26.278903054205593,
          26.38433258166232,
          26.552462799889376,
          26.517468231834727,
          26.43453642961294,
          26.432082095508996,
          26.407644697142107,
          26.410545981596755,
          26.354084356952104,
          26.46431706335645,
          26.329902182372162,
          26.13378660451089,
          26.02103433152156,
          25.742408258983797,
          25.679369327445976,
          25.704652158928276,
          25.674714972150106,
          25.900223012905297,
          25.971725065603692,
          26.021408041444364,
          26.101648729382827,
          26.011265570095812,
          26.141572790481984,
          26.05779714371179,
          26.104716292374402,
          26.030337308541295,
          25.94452682507607,
          25.990915753267693,
          25.959507541567785,
          25.957063047862523,
          25.94225478640856,
          26.042296043331962,
          26.053248175474373,
          26.2255833323828,
          26.195875342105573,
          26.179355534248266,
          26.137972947915706,
          26.166644774295744,
          26.06899393679599,
          26.067214458558887,
          26.042746261341563,
          25.979818662142133,
          26.013101001863575,
          26.017969158243375,
          26.172684365248923,
          26.112479450379364,
          25.8335237247367,
          25.755316703197774,
          25.856621958789294,
          25.825015108415723,
          25.817460850467018,
          25.785246392904043,
          25.83005463808129,
          25.89047807606545,
          25.76471719850985,
          25.758447806534853,
          25.818285737913413,
          25.900071987252566,
          25.930728331849284,
          25.890017025462825,
          26.038187149109852,
          26.240346805191358,
          26.254101534889898,
          26.299399280601104,
          26.342099035104756,
          26.460875068026645,
          26.405864961362482,
          26.201465465346853,
          26.190126590711248,
          26.17265552466841,
          26.1412349410913,
          26.238029983189552,
          26.149668000245697,
          26.259261941005324,
          26.100265019305084,
          26.117300233883277,
          26.218835514293968,
          26.046560021451423,
          26.007901546314354,
          26.18734806672034,
          26.249686536590286,
          26.18705516508156,
          26.182102464020193,
          26.023970058729514,
          26.060749763532186,
          25.993822271966664,
          26.10654063091935,
          26.10335588499435,
          26.063641808156753,
          26.09229264607205,
          26.124303826189124,
          26.27426738079032,
          26.333047524670697,
          26.297915880895754,
          25.788917874969556,
          25.333522331192153,
          24.987885687307823,
          24.476257630689837,
          23.78237455117693,
          23.20245225102407,
          22.678800477605478,
          22.172202835650054,
          21.645630223153212,
          21.08233188509095,
          20.639988782162572,
          20.03698626353575,
          19.46190957145486,
          18.886636570655305,
          18.330943268938622,
          17.804570102900048,
          17.232469816382366,
          16.66604282702047,
          16.16582567678634,
          15.680977800889126,
          15.148847860220789,
          14.515416449616124,
          14.077153944911897,
          13.654880713514567
         ]
        },
        {
         "line": {
          "color": "#2F4F4F",
          "width": 4
         },
         "mode": "lines",
         "name": "Multi-LoRA Serving",
         "type": "scatter",
         "x": [
          0,
          0.1,
          0.2,
          0.30000000000000004,
          0.4,
          0.5,
          0.6000000000000001,
          0.7000000000000001,
          0.8,
          0.9,
          1,
          1.1,
          1.2000000000000002,
          1.3,
          1.4000000000000001,
          1.5,
          1.6,
          1.7000000000000002,
          1.8,
          1.9000000000000001,
          2,
          2.1,
          2.2,
          2.3000000000000003,
          2.4000000000000004,
          2.5,
          2.6,
          2.7,
          2.8000000000000003,
          2.9000000000000004,
          3,
          3.1,
          3.2,
          3.3000000000000003,
          3.4000000000000004,
          3.5,
          3.6,
          3.7,
          3.8000000000000003,
          3.9000000000000004,
          4,
          4.1000000000000005,
          4.2,
          4.3,
          4.4,
          4.5,
          4.6000000000000005,
          4.7,
          4.800000000000001,
          4.9,
          5,
          5.1000000000000005,
          5.2,
          5.300000000000001,
          5.4,
          5.5,
          5.6000000000000005,
          5.7,
          5.800000000000001,
          5.9,
          6,
          6.1000000000000005,
          6.2,
          6.300000000000001,
          6.4,
          6.5,
          6.6000000000000005,
          6.7,
          6.800000000000001,
          6.9,
          7,
          7.1000000000000005,
          7.2,
          7.300000000000001,
          7.4,
          7.5,
          7.6000000000000005,
          7.7,
          7.800000000000001,
          7.9,
          8,
          8.1,
          8.200000000000001,
          8.3,
          8.4,
          8.5,
          8.6,
          8.700000000000001,
          8.8,
          8.9,
          9,
          9.1,
          9.200000000000001,
          9.3,
          9.4,
          9.5,
          9.600000000000001,
          9.700000000000001,
          9.8,
          9.9,
          10,
          10.100000000000001,
          10.200000000000001,
          10.3,
          10.4,
          10.5,
          10.600000000000001,
          10.700000000000001,
          10.8,
          10.9,
          11,
          11.100000000000001,
          11.200000000000001,
          11.3,
          11.4,
          11.5,
          11.600000000000001,
          11.700000000000001,
          11.8,
          11.9,
          12,
          12.100000000000001,
          12.200000000000001,
          12.3,
          12.4,
          12.5,
          12.600000000000001,
          12.700000000000001,
          12.8,
          12.9,
          13,
          13.100000000000001,
          13.200000000000001,
          13.3,
          13.4,
          13.5,
          13.600000000000001,
          13.700000000000001,
          13.8,
          13.9,
          14,
          14.100000000000001,
          14.200000000000001,
          14.3,
          14.4,
          14.5,
          14.600000000000001,
          14.700000000000001,
          14.8,
          14.9,
          15,
          15.100000000000001,
          15.200000000000001,
          15.3,
          15.4,
          15.5,
          15.600000000000001,
          15.700000000000001,
          15.8,
          15.9,
          16,
          16.1,
          16.2,
          16.3,
          16.400000000000002,
          16.5,
          16.6,
          16.7,
          16.8,
          16.900000000000002,
          17,
          17.1,
          17.2,
          17.3,
          17.400000000000002,
          17.5,
          17.6,
          17.7,
          17.8,
          17.900000000000002,
          18,
          18.1,
          18.2,
          18.3,
          18.400000000000002,
          18.5,
          18.6,
          18.7,
          18.8,
          18.900000000000002,
          19,
          19.1,
          19.200000000000003,
          19.3,
          19.400000000000002,
          19.5,
          19.6,
          19.700000000000003,
          19.8,
          19.900000000000002,
          20,
          20.1,
          20.200000000000003,
          20.3,
          20.400000000000002,
          20.5,
          20.6,
          20.700000000000003,
          20.8,
          20.900000000000002,
          21,
          21.1,
          21.200000000000003,
          21.3,
          21.400000000000002,
          21.5,
          21.6,
          21.700000000000003,
          21.8,
          21.900000000000002,
          22,
          22.1,
          22.200000000000003,
          22.3,
          22.400000000000002,
          22.5,
          22.6,
          22.700000000000003,
          22.8,
          22.900000000000002,
          23,
          23.1,
          23.200000000000003,
          23.3,
          23.400000000000002,
          23.5,
          23.6,
          23.700000000000003,
          23.8,
          23.900000000000002
         ],
         "y": [
          27.406046892639484,
          28.019381397689465,
          28.48098013662908,
          28.960216492923664,
          31.003520202340617,
          31.624730868862578,
          32.00023367388407,
          33.984876071240265,
          35.98380004787489,
          36.52442677186393,
          37.045584191820794,
          37.59057297706083,
          38.732051547047384,
          39.30221663806389,
          39.86610895068413,
          40.397379598372,
          40.908565908950486,
          41.42297677909474,
          42.61433319947005,
          43.218697106250744,
          43.78524607681041,
          44.1044188723839,
          44.67533192674099,
          45.2139634603713,
          46.557653847420085,
          47.05545755570387,
          47.311265572695135,
          45.93761272057534,
          47.866444109377795,
          47.75785344768106,
          46.555905947874834,
          46.42456373071306,
          44.81326525696636,
          44.201049184834446,
          44.72266390371958,
          44.863787806114054,
          44.89678273488879,
          45.78017669296326,
          44.9392679385519,
          44.24264369593612,
          44.27710882493677,
          45.697324617743234,
          47.241709667859304,
          47.3153143964482,
          46.65640573868619,
          45.35718897889139,
          43.848935463170804,
          44.66925263454281,
          45.439014429512696,
          43.85046880502743,
          43.14731859855371,
          43.04886778655365,
          44.45679965314403,
          46.20100598977472,
          44.550149253670995,
          46.08886914666515,
          48.21845072491901,
          46.70161212338804,
          45.27383534354368,
          45.32383852918849,
          45.77515191872581,
          45.70177239898614,
          45.031453864514475,
          44.92049555642035,
          46.17966648273533,
          46.15982800533337,
          47.57512565586313,
          47.44544442021041,
          46.82356726194975,
          46.657455267529315,
          46.62010158108829,
          46.845345171171864,
          46.89467821852348,
          47.989429256954836,
          46.95937301899859,
          46.99943877884756,
          47.04678667115431,
          47.06718606351147,
          45.87596365932834,
          45.81305546623538,
          45.93757001941789,
          45.965995056973796,
          46.04321030655002,
          46.0182256746249,
          45.3857216149735,
          47.82298183829046,
          47.79969425091362,
          48.427934317016046,
          49.25104782682821,
          49.8969779353588,
          49.79231934941663,
          48.37086918566176,
          48.21095906180311,
          48.1720426335414,
          48.08987186374674,
          48.0934334937773,
          49.515304476469,
          48.136384679575244,
          47.2648467368954,
          48.86785326990198,
          50.37287262767691,
          50.32228981952724,
          49.63169105976198,
          47.91198754482234,
          47.95032960686598,
          46.25805099716936,
          44.92463115274589,
          46.62303459957056,
          46.59526669581042,
          46.54318807997229,
          46.85528012782987,
          46.899054837141556,
          46.98022734112169,
          48.358795035494026,
          47.079307161016786,
          48.33208188469807,
          46.75988072251046,
          48.13075154666589,
          49.70586465407824,
          49.85744781987489,
          49.92083035967764,
          49.987943124547,
          49.89890305420559,
          50.56433258166232,
          51.85246279988938,
          51.817468231834724,
          51.734536429612945,
          51.732082095509,
          50.9076446971421,
          50.910545981596755,
          50.8540843569521,
          50.96431706335645,
          50.829902182372166,
          50.63378660451089,
          51.10103433152156,
          48.5424082589838,
          48.47936932744598,
          46.30465215892828,
          46.25471497215011,
          44.9402230129053,
          45.01172506560369,
          45.061408041444366,
          43.701648729382825,
          43.61126557009581,
          43.74157279048198,
          43.65779714371179,
          42.2847162923744,
          42.2103373085413,
          42.84452682507607,
          42.75091575326769,
          41.31950754156779,
          42.45706304786252,
          41.742254786408566,
          41.84229604333196,
          43.793248175474375,
          45.5055833323828,
          45.39587534210557,
          43.799355534248264,
          43.757972947915704,
          45.76664477429574,
          44.96899393679599,
          44.967214458558885,
          44.94274626134157,
          43.559818662142135,
          43.59310100186357,
          42.31796915824337,
          42.472684365248924,
          41.17247945037936,
          39.3735237247367,
          40.53531670319778,
          40.63662195878929,
          42.10501510841573,
          42.097460850467016,
          40.30524639290404,
          39.23005463808129,
          40.77047807606545,
          42.26471719850985,
          42.25844780653485,
          44.43828573791342,
          45.70007198725257,
          45.730728331849285,
          45.69001702546282,
          45.83818714910986,
          46.04034680519136,
          46.8741015348899,
          46.919399280601105,
          46.96209903510476,
          47.08087506802664,
          46.26586496136248,
          46.061465465346856,
          46.050126590711244,
          46.032655524668414,
          46.0012349410913,
          46.71802998318955,
          46.6296680002457,
          46.739261941005324,
          47.280265019305084,
          48.55730023388328,
          47.93883551429397,
          46.36656002145142,
          46.32790154631435,
          45.36734806672034,
          46.16968653659029,
          46.10705516508156,
          44.162102464020194,
          44.44397005872952,
          45.38074976353219,
          45.313822271966664,
          45.42654063091935,
          43.443355884994354,
          43.403641808156756,
          43.43229264607206,
          43.46430382618912,
          45.15426738079032,
          45.2130475246707,
          45.17791588089575,
          44.66891787496956,
          44.21352233119215,
          43.867885687307826,
          42.11625763068984,
          41.42237455117693,
          39.34245225102407,
          38.81880047760548,
          38.312202835650055,
          37.78563022315321,
          35.74233188509095,
          33.67998878216257,
          33.076986263535744,
          30.38190957145486,
          28.626636570655307,
          28.07094326893862,
          27.544570102900046,
          26.972469816382365,
          26.40604282702047,
          24.50582567678634,
          24.020977800889128,
          23.488847860220787,
          22.855416449616122,
          22.417153944911895,
          21.99488071351457
         ]
        }
       ],
       "layout": {
        "autosize": true,
        "legend": {
         "font": {
          "size": 24
         },
         "orientation": "h",
         "title": {
          "font": {
           "size": 28
          },
          "text": "LoRA Usage Pattern"
         },
         "x": 0.5,
         "xanchor": "center",
         "y": -0.1,
         "yanchor": "top"
        },
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "white",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "white",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "#C8D4E3",
             "linecolor": "#C8D4E3",
             "minorgridcolor": "#C8D4E3",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "#C8D4E3",
             "linecolor": "#C8D4E3",
             "minorgridcolor": "#C8D4E3",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "fillpattern": {
             "fillmode": "overlay",
             "size": 10,
             "solidity": 0.2
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "autotypenumbers": "strict",
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "white",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "#C8D4E3"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "white",
          "polar": {
           "angularaxis": {
            "gridcolor": "#EBF0F8",
            "linecolor": "#EBF0F8",
            "ticks": ""
           },
           "bgcolor": "white",
           "radialaxis": {
            "gridcolor": "#EBF0F8",
            "linecolor": "#EBF0F8",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "white",
            "gridcolor": "#DFE8F3",
            "gridwidth": 2,
            "linecolor": "#EBF0F8",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "#EBF0F8"
           },
           "yaxis": {
            "backgroundcolor": "white",
            "gridcolor": "#DFE8F3",
            "gridwidth": 2,
            "linecolor": "#EBF0F8",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "#EBF0F8"
           },
           "zaxis": {
            "backgroundcolor": "white",
            "gridcolor": "#DFE8F3",
            "gridwidth": 2,
            "linecolor": "#EBF0F8",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "#EBF0F8"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "#DFE8F3",
            "linecolor": "#A2B1C6",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "#DFE8F3",
            "linecolor": "#A2B1C6",
            "ticks": ""
           },
           "bgcolor": "white",
           "caxis": {
            "gridcolor": "#DFE8F3",
            "linecolor": "#A2B1C6",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "#EBF0F8",
           "linecolor": "#EBF0F8",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "#EBF0F8",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "#EBF0F8",
           "linecolor": "#EBF0F8",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "#EBF0F8",
           "zerolinewidth": 2
          }
         }
        },
        "xaxis": {
         "autorange": true,
         "range": [
          0,
          23.900000000000002
         ],
         "tickfont": {
          "size": 16
         },
         "title": {
          "font": {
           "size": 28
          },
          "text": "Time (hours)"
         },
         "type": "linear"
        },
        "yaxis": {
         "autorange": true,
         "range": [
          -0.009581266660521504,
          54.582044066549905
         ],
         "tickfont": {
          "size": 16
         },
         "title": {
          "font": {
           "size": 28
          },
          "text": "Requests"
         },
         "type": "linear"
        }
       }
      },
      "image/png": "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",
      "text/html": [
       "<div>                            <div id=\"878faf24-456c-43fd-bb01-7620c7d698a6\" class=\"plotly-graph-div\" style=\"height:525px; width:100%;\"></div>            <script type=\"text/javascript\">                require([\"plotly\"], function(Plotly) {                    window.PLOTLYENV=window.PLOTLYENV || {};                                    if (document.getElementById(\"878faf24-456c-43fd-bb01-7620c7d698a6\")) {                    Plotly.newPlot(                        \"878faf24-456c-43fd-bb01-7620c7d698a6\",                        [{\"line\":{\"color\":\"#B0C4DE\",\"width\":3},\"mode\":\"lines\",\"name\":\"Low Usage\",\"x\":[0.0,0.1,0.2,0.30000000000000004,0.4,0.5,0.6000000000000001,0.7000000000000001,0.8,0.9,1.0,1.1,1.2000000000000002,1.3,1.4000000000000001,1.5,1.6,1.7000000000000002,1.8,1.9000000000000001,2.0,2.1,2.2,2.3000000000000003,2.4000000000000004,2.5,2.6,2.7,2.8000000000000003,2.9000000000000004,3.0,3.1,3.2,3.3000000000000003,3.4000000000000004,3.5,3.6,3.7,3.8000000000000003,3.9000000000000004,4.0,4.1000000000000005,4.2,4.3,4.4,4.5,4.6000000000000005,4.7,4.800000000000001,4.9,5.0,5.1000000000000005,5.2,5.300000000000001,5.4,5.5,5.6000000000000005,5.7,5.800000000000001,5.9,6.0,6.1000000000000005,6.2,6.300000000000001,6.4,6.5,6.6000000000000005,6.7,6.800000000000001,6.9,7.0,7.1000000000000005,7.2,7.300000000000001,7.4,7.5,7.6000000000000005,7.7,7.800000000000001,7.9,8.0,8.1,8.200000000000001,8.3,8.4,8.5,8.6,8.700000000000001,8.8,8.9,9.0,9.1,9.200000000000001,9.3,9.4,9.5,9.600000000000001,9.700000000000001,9.8,9.9,10.0,10.100000000000001,10.200000000000001,10.3,10.4,10.5,10.600000000000001,10.700000000000001,10.8,10.9,11.0,11.100000000000001,11.200000000000001,11.3,11.4,11.5,11.600000000000001,11.700000000000001,11.8,11.9,12.0,12.100000000000001,12.200000000000001,12.3,12.4,12.5,12.600000000000001,12.700000000000001,12.8,12.9,13.0,13.100000000000001,13.200000000000001,13.3,13.4,13.5,13.600000000000001,13.700000000000001,13.8,13.9,14.0,14.100000000000001,14.200000000000001,14.3,14.4,14.5,14.600000000000001,14.700000000000001,14.8,14.9,15.0,15.100000000000001,15.200000000000001,15.3,15.4,15.5,15.600000000000001,15.700000000000001,15.8,15.9,16.0,16.1,16.2,16.3,16.400000000000002,16.5,16.6,16.7,16.8,16.900000000000002,17.0,17.1,17.2,17.3,17.400000000000002,17.5,17.6,17.7,17.8,17.900000000000002,18.0,18.1,18.2,18.3,18.400000000000002,18.5,18.6,18.7,18.8,18.900000000000002,19.0,19.1,19.200000000000003,19.3,19.400000000000002,19.5,19.6,19.700000000000003,19.8,19.900000000000002,20.0,20.1,20.200000000000003,20.3,20.400000000000002,20.5,20.6,20.700000000000003,20.8,20.900000000000002,21.0,21.1,21.200000000000003,21.3,21.400000000000002,21.5,21.6,21.700000000000003,21.8,21.900000000000002,22.0,22.1,22.200000000000003,22.3,22.400000000000002,22.5,22.6,22.700000000000003,22.8,22.900000000000002,23.0,23.1,23.200000000000003,23.3,23.400000000000002,23.5,23.6,23.700000000000003,23.8,23.900000000000002],\"y\":[4.0,4.0,4.0,4.0,4.0,4.0,4.0,4.0,4.0,4.0,4.0,4.0,4.58,4.58,4.58,4.58,4.58,4.58,5.26,5.26,5.26,5.26,5.26,5.260000000000001,6.080000000000001,6.080000000000001,6.080000000000001,6.080000000000001,6.660000000000001,6.660000000000001,6.660000000000001,6.660000000000001,6.660000000000001,5.98,6.62,6.62,6.620000000000001,6.0,5.280000000000001,6.020000000000001,6.020000000000001,6.0200000000000005,6.02,6.02,5.38,5.38,5.38,4.82,5.680000000000001,5.680000000000001,4.9,4.9,4.9,4.9,4.9,4.9,5.5600000000000005,5.5600000000000005,5.5600000000000005,5.5600000000000005,6.12,6.12,5.54,5.54,5.54,5.54,5.54,5.54,4.86,4.86,4.86,4.86,4.86,4.86,4.04,4.04,4.04,4.04,4.26,4.26,4.26,4.26,4.26,4.26,3.62,4.28,4.28,4.9799999999999995,5.76,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,4.16,4.16,4.16,4.16,4.86,4.86,4.86,4.86,4.88,4.88,4.880000000000001,4.880000000000001,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,5.0200000000000005,4.220000000000001,4.220000000000001,4.220000000000001,4.220000000000001,4.220000000000001,4.220000000000001,4.800000000000001,4.140000000000001,4.140000000000001,3.4400000000000004,3.4200000000000004,3.4200000000000004,3.42,3.42,3.42,3.42,3.42,3.42,3.42,3.42,4.140000000000001,4.140000000000001,4.140000000000001,4.140000000000001,3.4400000000000004,3.4400000000000004,4.12,4.12,4.04,4.04,4.04,4.58,3.88,3.88,3.88,3.88,3.88,3.88,3.88,3.88,3.88,3.88,3.88,3.88,3.88,3.88,3.88,3.88,3.88,3.88,4.56,4.56,4.56,4.56,4.56,4.56,3.98,3.98,3.98,3.98,3.2199999999999998,3.2199999999999998,3.2199999999999998,3.2199999999999998,3.2199999999999998,3.84,3.84,3.84,4.54,4.54,3.8200000000000003,3.8200000000000003,3.8200000000000003,3.8200000000000003,4.5600000000000005,4.5600000000000005,3.88,4.54,3.9400000000000004,3.9400000000000004,3.9400000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,3.4000000000000004,2.7199999999999998,2.7199999999999998,2.7199999999999998,2.7199999999999998,2.7199999999999998,2.7199999999999998,2.72,2.72,2.72,2.72,2.72,2.7199999999999998],\"type\":\"scatter\"},{\"line\":{\"color\":\"#FFB6C1\",\"width\":3},\"mode\":\"lines\",\"name\":\"Bursty Usage\",\"x\":[0.0,0.1,0.2,0.30000000000000004,0.4,0.5,0.6000000000000001,0.7000000000000001,0.8,0.9,1.0,1.1,1.2000000000000002,1.3,1.4000000000000001,1.5,1.6,1.7000000000000002,1.8,1.9000000000000001,2.0,2.1,2.2,2.3000000000000003,2.4000000000000004,2.5,2.6,2.7,2.8000000000000003,2.9000000000000004,3.0,3.1,3.2,3.3000000000000003,3.4000000000000004,3.5,3.6,3.7,3.8000000000000003,3.9000000000000004,4.0,4.1000000000000005,4.2,4.3,4.4,4.5,4.6000000000000005,4.7,4.800000000000001,4.9,5.0,5.1000000000000005,5.2,5.300000000000001,5.4,5.5,5.6000000000000005,5.7,5.800000000000001,5.9,6.0,6.1000000000000005,6.2,6.300000000000001,6.4,6.5,6.6000000000000005,6.7,6.800000000000001,6.9,7.0,7.1000000000000005,7.2,7.300000000000001,7.4,7.5,7.6000000000000005,7.7,7.800000000000001,7.9,8.0,8.1,8.200000000000001,8.3,8.4,8.5,8.6,8.700000000000001,8.8,8.9,9.0,9.1,9.200000000000001,9.3,9.4,9.5,9.600000000000001,9.700000000000001,9.8,9.9,10.0,10.100000000000001,10.200000000000001,10.3,10.4,10.5,10.600000000000001,10.700000000000001,10.8,10.9,11.0,11.100000000000001,11.200000000000001,11.3,11.4,11.5,11.600000000000001,11.700000000000001,11.8,11.9,12.0,12.100000000000001,12.200000000000001,12.3,12.4,12.5,12.600000000000001,12.700000000000001,12.8,12.9,13.0,13.100000000000001,13.200000000000001,13.3,13.4,13.5,13.600000000000001,13.700000000000001,13.8,13.9,14.0,14.100000000000001,14.200000000000001,14.3,14.4,14.5,14.600000000000001,14.700000000000001,14.8,14.9,15.0,15.100000000000001,15.200000000000001,15.3,15.4,15.5,15.600000000000001,15.700000000000001,15.8,15.9,16.0,16.1,16.2,16.3,16.400000000000002,16.5,16.6,16.7,16.8,16.900000000000002,17.0,17.1,17.2,17.3,17.400000000000002,17.5,17.6,17.7,17.8,17.900000000000002,18.0,18.1,18.2,18.3,18.400000000000002,18.5,18.6,18.7,18.8,18.900000000000002,19.0,19.1,19.200000000000003,19.3,19.400000000000002,19.5,19.6,19.700000000000003,19.8,19.900000000000002,20.0,20.1,20.200000000000003,20.3,20.400000000000002,20.5,20.6,20.700000000000003,20.8,20.900000000000002,21.0,21.1,21.200000000000003,21.3,21.400000000000002,21.5,21.6,21.700000000000003,21.8,21.900000000000002,22.0,22.1,22.200000000000003,22.3,22.400000000000002,22.5,22.6,22.700000000000003,22.8,22.900000000000002,23.0,23.1,23.200000000000003,23.3,23.400000000000002,23.5,23.6,23.700000000000003,23.8,23.900000000000002],\"y\":[10.16,10.16,10.16,10.16,11.72,11.72,11.72,12.96,14.360000000000001,14.360000000000001,14.360000000000001,14.360000000000001,14.360000000000001,14.360000000000001,14.360000000000001,14.360000000000001,14.360000000000001,14.360000000000001,14.360000000000001,14.360000000000001,14.360000000000001,14.360000000000001,14.360000000000001,14.36,14.36,14.36,14.36,12.9,14.38,14.38,13.16,13.16,11.56,11.56,11.56,11.56,11.56,13.06,13.06,11.600000000000001,11.600000000000001,12.940000000000001,14.420000000000002,14.420000000000002,14.420000000000002,13.02,11.54,12.979999999999999,12.979999999999999,11.44,11.44,11.44,12.84,14.56,13.0,14.62,15.94,14.700000000000001,13.3,13.299999999999999,13.299999999999999,13.299999999999999,13.299999999999999,13.299999999999999,14.54,14.54,15.959999999999999,15.959999999999999,15.959999999999999,15.959999999999999,15.959999999999999,15.959999999999999,15.959999999999999,17.16,17.16,17.16,17.16,17.16,15.68,15.68,15.68,15.68,15.68,15.68,15.68,17.3,17.3,17.3,17.3,18.84,18.84,17.5,17.46,17.46,17.46,17.46,18.880000000000003,17.44,17.439999999999998,18.979999999999997,20.379999999999995,20.38,18.98,17.259999999999998,17.259999999999998,15.64,14.32,15.9,15.9,15.9,15.9,15.9,15.9,17.22,15.98,17.26,15.84,17.080000000000002,18.6,18.599999999999998,18.6,18.6,18.6,19.16,20.28,20.28,20.28,20.28,20.28,20.28,20.28,20.28,20.28,20.28,20.28,18.660000000000004,18.660000000000004,17.16,17.16,15.620000000000001,15.620000000000001,15.620000000000001,14.180000000000001,14.180000000000001,14.180000000000001,14.180000000000001,12.760000000000002,12.760000000000002,12.760000000000002,12.620000000000001,11.22,12.360000000000001,12.360000000000001,12.36,13.62,15.159999999999998,15.159999999999998,13.58,13.58,15.02,15.02,15.020000000000001,15.020000000000001,13.700000000000001,13.700000000000001,12.42,12.42,11.18,9.66,10.9,10.9,12.400000000000002,12.400000000000002,10.64,9.520000000000001,11.000000000000002,12.620000000000001,12.62,14.06,15.24,15.24,15.240000000000002,15.240000000000002,15.240000000000002,16.64,16.64,16.64,16.64,16.64,16.64,16.64,16.64,16.64,16.64,16.64,16.64,16.64,17.900000000000002,17.900000000000002,16.5,16.5,15.360000000000001,15.360000000000001,15.360000000000001,14.100000000000001,13.88,15.38,15.38,15.38,13.940000000000001,13.940000000000001,13.940000000000001,13.940000000000001,15.48,15.48,15.48,15.48,15.48,15.48,14.24,14.24,12.74,12.74,12.74,12.74,11.26,9.639999999999999,9.639999999999999,8.2,7.0200000000000005,7.0200000000000005,7.0200000000000005,7.0200000000000005,7.0200000000000005,5.62,5.62,5.62,5.62,5.62,5.62],\"type\":\"scatter\"},{\"line\":{\"color\":\"#98FB98\",\"width\":3},\"mode\":\"lines\",\"name\":\"High Volume\",\"x\":[0.0,0.1,0.2,0.30000000000000004,0.4,0.5,0.6000000000000001,0.7000000000000001,0.8,0.9,1.0,1.1,1.2000000000000002,1.3,1.4000000000000001,1.5,1.6,1.7000000000000002,1.8,1.9000000000000001,2.0,2.1,2.2,2.3000000000000003,2.4000000000000004,2.5,2.6,2.7,2.8000000000000003,2.9000000000000004,3.0,3.1,3.2,3.3000000000000003,3.4000000000000004,3.5,3.6,3.7,3.8000000000000003,3.9000000000000004,4.0,4.1000000000000005,4.2,4.3,4.4,4.5,4.6000000000000005,4.7,4.800000000000001,4.9,5.0,5.1000000000000005,5.2,5.300000000000001,5.4,5.5,5.6000000000000005,5.7,5.800000000000001,5.9,6.0,6.1000000000000005,6.2,6.300000000000001,6.4,6.5,6.6000000000000005,6.7,6.800000000000001,6.9,7.0,7.1000000000000005,7.2,7.300000000000001,7.4,7.5,7.6000000000000005,7.7,7.800000000000001,7.9,8.0,8.1,8.200000000000001,8.3,8.4,8.5,8.6,8.700000000000001,8.8,8.9,9.0,9.1,9.200000000000001,9.3,9.4,9.5,9.600000000000001,9.700000000000001,9.8,9.9,10.0,10.100000000000001,10.200000000000001,10.3,10.4,10.5,10.600000000000001,10.700000000000001,10.8,10.9,11.0,11.100000000000001,11.200000000000001,11.3,11.4,11.5,11.600000000000001,11.700000000000001,11.8,11.9,12.0,12.100000000000001,12.200000000000001,12.3,12.4,12.5,12.600000000000001,12.700000000000001,12.8,12.9,13.0,13.100000000000001,13.200000000000001,13.3,13.4,13.5,13.600000000000001,13.700000000000001,13.8,13.9,14.0,14.100000000000001,14.200000000000001,14.3,14.4,14.5,14.600000000000001,14.700000000000001,14.8,14.9,15.0,15.100000000000001,15.200000000000001,15.3,15.4,15.5,15.600000000000001,15.700000000000001,15.8,15.9,16.0,16.1,16.2,16.3,16.400000000000002,16.5,16.6,16.7,16.8,16.900000000000002,17.0,17.1,17.2,17.3,17.400000000000002,17.5,17.6,17.7,17.8,17.900000000000002,18.0,18.1,18.2,18.3,18.400000000000002,18.5,18.6,18.7,18.8,18.900000000000002,19.0,19.1,19.200000000000003,19.3,19.400000000000002,19.5,19.6,19.700000000000003,19.8,19.900000000000002,20.0,20.1,20.200000000000003,20.3,20.400000000000002,20.5,20.6,20.700000000000003,20.8,20.900000000000002,21.0,21.1,21.200000000000003,21.3,21.400000000000002,21.5,21.6,21.700000000000003,21.8,21.900000000000002,22.0,22.1,22.200000000000003,22.3,22.400000000000002,22.5,22.6,22.700000000000003,22.8,22.900000000000002,23.0,23.1,23.200000000000003,23.3,23.400000000000002,23.5,23.6,23.700000000000003,23.8,23.900000000000002],\"y\":[13.246046892639484,13.859381397689463,14.32098013662908,14.800216492923663,15.283520202340618,15.904730868862575,16.280233673884066,17.024876071240264,17.623800047874887,18.16442677186393,18.68558419182079,19.230572977060827,19.792051547047382,20.362216638063888,20.926108950684128,21.457379598371997,21.968565908950485,22.482976779094738,22.99433319947005,23.598697106250743,24.165246076810405,24.484418872383905,25.055331926740987,25.5939634603713,26.117653847420087,26.615457555703866,26.87126557269513,26.957612720575337,26.82644410937779,26.71785344768106,26.735905947874837,26.604563730713057,26.59326525696636,26.661049184834447,26.542663903719582,26.683787806114054,26.716782734888792,26.720176692963257,26.599267938551897,26.622643695936112,26.657108824936763,26.737324617743237,26.801709667859303,26.8753143964482,26.85640573868619,26.95718897889139,26.928935463170806,26.86925263454281,26.779014429512696,26.730468805027435,26.807318598553714,26.70886778655365,26.716799653144033,26.74100598977472,26.650149253670996,26.568869146665143,26.71845072491901,26.441612123388037,26.41383534354368,26.463838529188497,26.35515191872581,26.281772398986142,26.191453864514475,26.08049555642035,26.09966648273533,26.07982800533337,26.075125655863136,25.94544442021041,26.003567261949748,25.83745526752931,25.800101581088292,26.025345171171864,26.074678218523484,25.969429256954832,25.75937301899859,25.799438778847566,25.846786671154305,25.86718606351147,25.935963659328344,25.873055466235385,25.99757001941789,26.0259950569738,26.10321030655003,26.0782256746249,26.085721614973497,26.24298183829046,26.219694250913616,26.147934317016045,26.19104782682821,26.0369779353588,25.932319349416627,25.85086918566176,25.730959061803112,25.6920426335414,25.609871863746733,25.613433493777293,25.615304476469,25.67638467957524,25.664846736895402,25.72785326990198,25.83287262767692,25.782289819527243,25.791691059761973,25.79198754482234,25.830329606865977,25.758050997169367,25.724631152745886,25.843034599570554,25.815266695810422,25.763188079972288,25.935280127829873,25.979054837141554,26.060227341121685,26.11879503549403,26.079307161016782,26.05208188469807,25.89988072251046,26.03075154666589,26.085864654078243,26.237447819874898,26.300830359677636,26.367943124546997,26.278903054205593,26.38433258166232,26.552462799889376,26.517468231834727,26.43453642961294,26.432082095508996,26.407644697142107,26.410545981596755,26.354084356952104,26.46431706335645,26.329902182372162,26.13378660451089,26.02103433152156,25.742408258983797,25.679369327445976,25.704652158928276,25.674714972150106,25.900223012905297,25.971725065603692,26.021408041444364,26.101648729382827,26.011265570095812,26.141572790481984,26.05779714371179,26.104716292374402,26.030337308541295,25.94452682507607,25.990915753267693,25.959507541567785,25.957063047862523,25.94225478640856,26.042296043331962,26.053248175474373,26.2255833323828,26.195875342105573,26.179355534248266,26.137972947915706,26.166644774295744,26.06899393679599,26.067214458558887,26.042746261341563,25.979818662142133,26.013101001863575,26.017969158243375,26.172684365248923,26.112479450379364,25.8335237247367,25.755316703197774,25.856621958789294,25.825015108415723,25.817460850467018,25.785246392904043,25.83005463808129,25.89047807606545,25.76471719850985,25.758447806534853,25.818285737913413,25.900071987252566,25.930728331849284,25.890017025462825,26.038187149109852,26.240346805191358,26.254101534889898,26.299399280601104,26.342099035104756,26.460875068026645,26.405864961362482,26.201465465346853,26.190126590711248,26.17265552466841,26.1412349410913,26.238029983189552,26.149668000245697,26.259261941005324,26.100265019305084,26.117300233883277,26.218835514293968,26.046560021451423,26.007901546314354,26.18734806672034,26.249686536590286,26.18705516508156,26.182102464020193,26.023970058729514,26.060749763532186,25.993822271966664,26.10654063091935,26.10335588499435,26.063641808156753,26.09229264607205,26.124303826189124,26.27426738079032,26.333047524670697,26.297915880895754,25.788917874969556,25.333522331192153,24.987885687307823,24.476257630689837,23.78237455117693,23.20245225102407,22.678800477605478,22.172202835650054,21.645630223153212,21.08233188509095,20.639988782162572,20.03698626353575,19.46190957145486,18.886636570655305,18.330943268938622,17.804570102900048,17.232469816382366,16.66604282702047,16.16582567678634,15.680977800889126,15.148847860220789,14.515416449616124,14.077153944911897,13.654880713514567],\"type\":\"scatter\"},{\"line\":{\"color\":\"#2F4F4F\",\"width\":4},\"mode\":\"lines\",\"name\":\"Multi-LoRA Serving\",\"x\":[0.0,0.1,0.2,0.30000000000000004,0.4,0.5,0.6000000000000001,0.7000000000000001,0.8,0.9,1.0,1.1,1.2000000000000002,1.3,1.4000000000000001,1.5,1.6,1.7000000000000002,1.8,1.9000000000000001,2.0,2.1,2.2,2.3000000000000003,2.4000000000000004,2.5,2.6,2.7,2.8000000000000003,2.9000000000000004,3.0,3.1,3.2,3.3000000000000003,3.4000000000000004,3.5,3.6,3.7,3.8000000000000003,3.9000000000000004,4.0,4.1000000000000005,4.2,4.3,4.4,4.5,4.6000000000000005,4.7,4.800000000000001,4.9,5.0,5.1000000000000005,5.2,5.300000000000001,5.4,5.5,5.6000000000000005,5.7,5.800000000000001,5.9,6.0,6.1000000000000005,6.2,6.300000000000001,6.4,6.5,6.6000000000000005,6.7,6.800000000000001,6.9,7.0,7.1000000000000005,7.2,7.300000000000001,7.4,7.5,7.6000000000000005,7.7,7.800000000000001,7.9,8.0,8.1,8.200000000000001,8.3,8.4,8.5,8.6,8.700000000000001,8.8,8.9,9.0,9.1,9.200000000000001,9.3,9.4,9.5,9.600000000000001,9.700000000000001,9.8,9.9,10.0,10.100000000000001,10.200000000000001,10.3,10.4,10.5,10.600000000000001,10.700000000000001,10.8,10.9,11.0,11.100000000000001,11.200000000000001,11.3,11.4,11.5,11.600000000000001,11.700000000000001,11.8,11.9,12.0,12.100000000000001,12.200000000000001,12.3,12.4,12.5,12.600000000000001,12.700000000000001,12.8,12.9,13.0,13.100000000000001,13.200000000000001,13.3,13.4,13.5,13.600000000000001,13.700000000000001,13.8,13.9,14.0,14.100000000000001,14.200000000000001,14.3,14.4,14.5,14.600000000000001,14.700000000000001,14.8,14.9,15.0,15.100000000000001,15.200000000000001,15.3,15.4,15.5,15.600000000000001,15.700000000000001,15.8,15.9,16.0,16.1,16.2,16.3,16.400000000000002,16.5,16.6,16.7,16.8,16.900000000000002,17.0,17.1,17.2,17.3,17.400000000000002,17.5,17.6,17.7,17.8,17.900000000000002,18.0,18.1,18.2,18.3,18.400000000000002,18.5,18.6,18.7,18.8,18.900000000000002,19.0,19.1,19.200000000000003,19.3,19.400000000000002,19.5,19.6,19.700000000000003,19.8,19.900000000000002,20.0,20.1,20.200000000000003,20.3,20.400000000000002,20.5,20.6,20.700000000000003,20.8,20.900000000000002,21.0,21.1,21.200000000000003,21.3,21.400000000000002,21.5,21.6,21.700000000000003,21.8,21.900000000000002,22.0,22.1,22.200000000000003,22.3,22.400000000000002,22.5,22.6,22.700000000000003,22.8,22.900000000000002,23.0,23.1,23.200000000000003,23.3,23.400000000000002,23.5,23.6,23.700000000000003,23.8,23.900000000000002],\"y\":[27.406046892639484,28.019381397689465,28.48098013662908,28.960216492923664,31.003520202340617,31.624730868862578,32.00023367388407,33.984876071240265,35.98380004787489,36.52442677186393,37.045584191820794,37.59057297706083,38.732051547047384,39.30221663806389,39.86610895068413,40.397379598372,40.908565908950486,41.42297677909474,42.61433319947005,43.218697106250744,43.78524607681041,44.1044188723839,44.67533192674099,45.2139634603713,46.557653847420085,47.05545755570387,47.311265572695135,45.93761272057534,47.866444109377795,47.75785344768106,46.555905947874834,46.42456373071306,44.81326525696636,44.201049184834446,44.72266390371958,44.863787806114054,44.89678273488879,45.78017669296326,44.9392679385519,44.24264369593612,44.27710882493677,45.697324617743234,47.241709667859304,47.3153143964482,46.65640573868619,45.35718897889139,43.848935463170804,44.66925263454281,45.439014429512696,43.85046880502743,43.14731859855371,43.04886778655365,44.45679965314403,46.20100598977472,44.550149253670995,46.08886914666515,48.21845072491901,46.70161212338804,45.27383534354368,45.32383852918849,45.77515191872581,45.70177239898614,45.031453864514475,44.92049555642035,46.17966648273533,46.15982800533337,47.57512565586313,47.44544442021041,46.82356726194975,46.657455267529315,46.62010158108829,46.845345171171864,46.89467821852348,47.989429256954836,46.95937301899859,46.99943877884756,47.04678667115431,47.06718606351147,45.87596365932834,45.81305546623538,45.93757001941789,45.965995056973796,46.04321030655002,46.0182256746249,45.3857216149735,47.82298183829046,47.79969425091362,48.427934317016046,49.25104782682821,49.8969779353588,49.79231934941663,48.37086918566176,48.21095906180311,48.1720426335414,48.08987186374674,48.0934334937773,49.515304476469,48.136384679575244,47.2648467368954,48.86785326990198,50.37287262767691,50.32228981952724,49.63169105976198,47.91198754482234,47.95032960686598,46.25805099716936,44.92463115274589,46.62303459957056,46.59526669581042,46.54318807997229,46.85528012782987,46.899054837141556,46.98022734112169,48.358795035494026,47.079307161016786,48.33208188469807,46.75988072251046,48.13075154666589,49.70586465407824,49.85744781987489,49.92083035967764,49.987943124547,49.89890305420559,50.56433258166232,51.85246279988938,51.817468231834724,51.734536429612945,51.732082095509,50.9076446971421,50.910545981596755,50.8540843569521,50.96431706335645,50.829902182372166,50.63378660451089,51.10103433152156,48.5424082589838,48.47936932744598,46.30465215892828,46.25471497215011,44.9402230129053,45.01172506560369,45.061408041444366,43.701648729382825,43.61126557009581,43.74157279048198,43.65779714371179,42.2847162923744,42.2103373085413,42.84452682507607,42.75091575326769,41.31950754156779,42.45706304786252,41.742254786408566,41.84229604333196,43.793248175474375,45.5055833323828,45.39587534210557,43.799355534248264,43.757972947915704,45.76664477429574,44.96899393679599,44.967214458558885,44.94274626134157,43.559818662142135,43.59310100186357,42.31796915824337,42.472684365248924,41.17247945037936,39.3735237247367,40.53531670319778,40.63662195878929,42.10501510841573,42.097460850467016,40.30524639290404,39.23005463808129,40.77047807606545,42.26471719850985,42.25844780653485,44.43828573791342,45.70007198725257,45.730728331849285,45.69001702546282,45.83818714910986,46.04034680519136,46.8741015348899,46.919399280601105,46.96209903510476,47.08087506802664,46.26586496136248,46.061465465346856,46.050126590711244,46.032655524668414,46.0012349410913,46.71802998318955,46.6296680002457,46.739261941005324,47.280265019305084,48.55730023388328,47.93883551429397,46.36656002145142,46.32790154631435,45.36734806672034,46.16968653659029,46.10705516508156,44.162102464020194,44.44397005872952,45.38074976353219,45.313822271966664,45.42654063091935,43.443355884994354,43.403641808156756,43.43229264607206,43.46430382618912,45.15426738079032,45.2130475246707,45.17791588089575,44.66891787496956,44.21352233119215,43.867885687307826,42.11625763068984,41.42237455117693,39.34245225102407,38.81880047760548,38.312202835650055,37.78563022315321,35.74233188509095,33.67998878216257,33.076986263535744,30.38190957145486,28.626636570655307,28.07094326893862,27.544570102900046,26.972469816382365,26.40604282702047,24.50582567678634,24.020977800889128,23.488847860220787,22.855416449616122,22.417153944911895,21.99488071351457],\"type\":\"scatter\"}],                        {\"template\":{\"data\":{\"barpolar\":[{\"marker\":{\"line\":{\"color\":\"white\",\"width\":0.5},\"pattern\":{\"fillmode\":\"overlay\",\"size\":10,\"solidity\":0.2}},\"type\":\"barpolar\"}],\"bar\":[{\"error_x\":{\"color\":\"#2a3f5f\"},\"error_y\":{\"color\":\"#2a3f5f\"},\"marker\":{\"line\":{\"color\":\"white\",\"width\":0.5},\"pattern\":{\"fillmode\":\"overlay\",\"size\":10,\"solidity\":0.2}},\"type\":\"bar\"}],\"carpet\":[{\"aaxis\":{\"endlinecolor\":\"#2a3f5f\",\"gridcolor\":\"#C8D4E3\",\"linecolor\":\"#C8D4E3\",\"minorgridcolor\":\"#C8D4E3\",\"startlinecolor\":\"#2a3f5f\"},\"baxis\":{\"endlinecolor\":\"#2a3f5f\",\"gridcolor\":\"#C8D4E3\",\"linecolor\":\"#C8D4E3\",\"minorgridcolor\":\"#C8D4E3\",\"startlinecolor\":\"#2a3f5f\"},\"type\":\"carpet\"}],\"choropleth\":[{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"type\":\"choropleth\"}],\"contourcarpet\":[{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"type\":\"contourcarpet\"}],\"contour\":[{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]],\"type\":\"contour\"}],\"heatmapgl\":[{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]],\"type\":\"heatmapgl\"}],\"heatmap\":[{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]],\"type\":\"heatmap\"}],\"histogram2dcontour\":[{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]],\"type\":\"histogram2dcontour\"}],\"histogram2d\":[{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]],\"type\":\"histogram2d\"}],\"histogram\":[{\"marker\":{\"pattern\":{\"fillmode\":\"overlay\",\"size\":10,\"solidity\":0.2}},\"type\":\"histogram\"}],\"mesh3d\":[{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"type\":\"mesh3d\"}],\"parcoords\":[{\"line\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}},\"type\":\"parcoords\"}],\"pie\":[{\"automargin\":true,\"type\":\"pie\"}],\"scatter3d\":[{\"line\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}},\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}},\"type\":\"scatter3d\"}],\"scattercarpet\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}},\"type\":\"scattercarpet\"}],\"scattergeo\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}},\"type\":\"scattergeo\"}],\"scattergl\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}},\"type\":\"scattergl\"}],\"scattermapbox\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}},\"type\":\"scattermapbox\"}],\"scatterpolargl\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}},\"type\":\"scatterpolargl\"}],\"scatterpolar\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}},\"type\":\"scatterpolar\"}],\"scatter\":[{\"fillpattern\":{\"fillmode\":\"overlay\",\"size\":10,\"solidity\":0.2},\"type\":\"scatter\"}],\"scatterternary\":[{\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}},\"type\":\"scatterternary\"}],\"surface\":[{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]],\"type\":\"surface\"}],\"table\":[{\"cells\":{\"fill\":{\"color\":\"#EBF0F8\"},\"line\":{\"color\":\"white\"}},\"header\":{\"fill\":{\"color\":\"#C8D4E3\"},\"line\":{\"color\":\"white\"}},\"type\":\"table\"}]},\"layout\":{\"annotationdefaults\":{\"arrowcolor\":\"#2a3f5f\",\"arrowhead\":0,\"arrowwidth\":1},\"autotypenumbers\":\"strict\",\"coloraxis\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}},\"colorscale\":{\"diverging\":[[0,\"#8e0152\"],[0.1,\"#c51b7d\"],[0.2,\"#de77ae\"],[0.3,\"#f1b6da\"],[0.4,\"#fde0ef\"],[0.5,\"#f7f7f7\"],[0.6,\"#e6f5d0\"],[0.7,\"#b8e186\"],[0.8,\"#7fbc41\"],[0.9,\"#4d9221\"],[1,\"#276419\"]],\"sequential\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]],\"sequentialminus\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]},\"colorway\":[\"#636efa\",\"#EF553B\",\"#00cc96\",\"#ab63fa\",\"#FFA15A\",\"#19d3f3\",\"#FF6692\",\"#B6E880\",\"#FF97FF\",\"#FECB52\"],\"font\":{\"color\":\"#2a3f5f\"},\"geo\":{\"bgcolor\":\"white\",\"lakecolor\":\"white\",\"landcolor\":\"white\",\"showlakes\":true,\"showland\":true,\"subunitcolor\":\"#C8D4E3\"},\"hoverlabel\":{\"align\":\"left\"},\"hovermode\":\"closest\",\"mapbox\":{\"style\":\"light\"},\"paper_bgcolor\":\"white\",\"plot_bgcolor\":\"white\",\"polar\":{\"angularaxis\":{\"gridcolor\":\"#EBF0F8\",\"linecolor\":\"#EBF0F8\",\"ticks\":\"\"},\"bgcolor\":\"white\",\"radialaxis\":{\"gridcolor\":\"#EBF0F8\",\"linecolor\":\"#EBF0F8\",\"ticks\":\"\"}},\"scene\":{\"xaxis\":{\"backgroundcolor\":\"white\",\"gridcolor\":\"#DFE8F3\",\"gridwidth\":2,\"linecolor\":\"#EBF0F8\",\"showbackground\":true,\"ticks\":\"\",\"zerolinecolor\":\"#EBF0F8\"},\"yaxis\":{\"backgroundcolor\":\"white\",\"gridcolor\":\"#DFE8F3\",\"gridwidth\":2,\"linecolor\":\"#EBF0F8\",\"showbackground\":true,\"ticks\":\"\",\"zerolinecolor\":\"#EBF0F8\"},\"zaxis\":{\"backgroundcolor\":\"white\",\"gridcolor\":\"#DFE8F3\",\"gridwidth\":2,\"linecolor\":\"#EBF0F8\",\"showbackground\":true,\"ticks\":\"\",\"zerolinecolor\":\"#EBF0F8\"}},\"shapedefaults\":{\"line\":{\"color\":\"#2a3f5f\"}},\"ternary\":{\"aaxis\":{\"gridcolor\":\"#DFE8F3\",\"linecolor\":\"#A2B1C6\",\"ticks\":\"\"},\"baxis\":{\"gridcolor\":\"#DFE8F3\",\"linecolor\":\"#A2B1C6\",\"ticks\":\"\"},\"bgcolor\":\"white\",\"caxis\":{\"gridcolor\":\"#DFE8F3\",\"linecolor\":\"#A2B1C6\",\"ticks\":\"\"}},\"title\":{\"x\":0.05},\"xaxis\":{\"automargin\":true,\"gridcolor\":\"#EBF0F8\",\"linecolor\":\"#EBF0F8\",\"ticks\":\"\",\"title\":{\"standoff\":15},\"zerolinecolor\":\"#EBF0F8\",\"zerolinewidth\":2},\"yaxis\":{\"automargin\":true,\"gridcolor\":\"#EBF0F8\",\"linecolor\":\"#EBF0F8\",\"ticks\":\"\",\"title\":{\"standoff\":15},\"zerolinecolor\":\"#EBF0F8\",\"zerolinewidth\":2}}},\"xaxis\":{\"title\":{\"text\":\"Time (hours)\",\"font\":{\"size\":28}},\"tickfont\":{\"size\":16}},\"yaxis\":{\"title\":{\"text\":\"Requests\",\"font\":{\"size\":28}},\"tickfont\":{\"size\":16}},\"legend\":{\"title\":{\"text\":\"LoRA Usage Pattern\",\"font\":{\"size\":28}},\"font\":{\"size\":24},\"x\":0.5,\"y\":-0.1,\"orientation\":\"h\",\"xanchor\":\"center\",\"yanchor\":\"top\"}},                        {\"responsive\": true}                    ).then(function(){\n",
       "                            \n",
       "var gd = document.getElementById('878faf24-456c-43fd-bb01-7620c7d698a6');\n",
       "var x = new MutationObserver(function (mutations, observer) {{\n",
       "        var display = window.getComputedStyle(gd).display;\n",
       "        if (!display || display === 'none') {{\n",
       "            console.log([gd, 'removed!']);\n",
       "            Plotly.purge(gd);\n",
       "            observer.disconnect();\n",
       "        }}\n",
       "}});\n",
       "\n",
       "// Listen for the removal of the full notebook cells\n",
       "var notebookContainer = gd.closest('#notebook-container');\n",
       "if (notebookContainer) {{\n",
       "    x.observe(notebookContainer, {childList: true});\n",
       "}}\n",
       "\n",
       "// Listen for the clearing of the current output cell\n",
       "var outputEl = gd.closest('.output');\n",
       "if (outputEl) {{\n",
       "    x.observe(outputEl, {childList: true});\n",
       "}}\n",
       "\n",
       "                        })                };                });            </script>        </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.graph_objects as go\n",
    "import numpy as np\n",
    "\n",
    "# Setting the time scale\n",
    "time = np.arange(0, 24, 0.1)  # 24 hours, in increments of 0.1 hour\n",
    "\n",
    "# Generating usage patterns\n",
    "np.random.seed(42)\n",
    "low_usage = (np.random.poisson(70, len(time)) * (np.random.rand(len(time)) < 0.15).astype(int))//2 \n",
    "bursty_usage = np.random.poisson(70, len(time)) * (np.random.rand(len(time)) < 0.15).astype(int)\n",
    "bursty_usage = np.random.poisson(100, len(time)) * (np.random.rand(len(time)) < 0.2).astype(int)//1.4\n",
    "\n",
    "high_volume = np.random.normal(loc=15, scale=2, size=len(time))*1.75\n",
    "\n",
    "# Applying smoothing\n",
    "smooth_low_usage = np.convolve(low_usage, np.ones(50)/50, mode='same')\n",
    "smooth_bursty_usage = np.convolve(bursty_usage, np.ones(50)/50, mode='same')\n",
    "smooth_high_volume = np.convolve(high_volume, np.ones(50)/50, mode='same')\n",
    "total_usage = smooth_low_usage + smooth_bursty_usage + smooth_high_volume\n",
    "\n",
    "# Plotting using Plotly\n",
    "fig = go.Figure()\n",
    "fig.add_trace(go.Scatter(x=time, y=smooth_low_usage, mode='lines', name='Low Usage', line=dict(color='#B0C4DE', width=3)))  # Light Steel Blue\n",
    "fig.add_trace(go.Scatter(x=time, y=smooth_bursty_usage, mode='lines', name='Bursty Usage', line=dict(color='#FFB6C1', width=3)))  # Light Pink\n",
    "fig.add_trace(go.Scatter(x=time, y=smooth_high_volume, mode='lines', name='High Volume', line=dict(color='#98FB98', width=3)))  # Pale Green\n",
    "fig.add_trace(go.Scatter(x=time, y=total_usage, mode='lines', name='Multi-LoRA Serving', line=dict(color='#2F4F4F', width=4)))  # Dark Slate Gray\n",
    "\n",
    "fig.update_layout(\n",
    "    xaxis_title='Time (hours)',\n",
    "    yaxis_title='Requests',\n",
    "    legend_title='LoRA Usage Pattern',\n",
    "    xaxis=dict(\n",
    "        title_font_size=28,  # Larger axis title font size\n",
    "        tickfont_size=16  # Larger tick label font size\n",
    "    ),\n",
    "    yaxis=dict(\n",
    "        title_font_size=28,  # Larger axis title font size\n",
    "        tickfont_size=16  # Larger tick label font size\n",
    "    ),\n",
    "    legend=dict(\n",
    "        x=0.5,  # Horizontal position, 0 is left\n",
    "        y=-0.1,  # Vertical position, negative values to move it down\n",
    "        orientation=\"h\",  # Horizontal layout\n",
    "        xanchor='center',  # Anchor the legend at the center\n",
    "        yanchor='top'  # Anchor the legend at the top\n",
    "    ),\n",
    "    template='plotly_white',\n",
    "    legend_title_font_size=28,  # Larger legend title font size\n",
    "    legend_font_size=24  # Larger legend font size\n",
    ")\n",
    "\n",
    "\n",
    "fig.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fc54b448-2eb3-44cc-8304-983e27138296",
   "metadata": {},
   "source": [
    "# Push Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "4ef615e2-ab36-43f1-b310-cac8b17d29b7",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "image_out = \"multi-lora-serving-pattern.png\"\n",
    "fig.write_image(image_out, width=1920, height=1080, scale=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "13d8ee16-65ec-4a32-84e9-e6b99aab92af",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdin",
     "output_type": "stream",
     "text": [
      " Fixed line width\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "CommitInfo(commit_url='https://huggingface.co/datasets/huggingface/documentation-images/commit/621a34717b8f174ffc264b32fb96090b3d3434b0', commit_message='Fixed line width', commit_description='', oid='621a34717b8f174ffc264b32fb96090b3d3434b0', pr_url=None, pr_revision=None, pr_num=None)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from huggingface_hub import HfApi\n",
    "\n",
    "commit_message_image = input()\n",
    "\n",
    "api = HfApi()\n",
    "api.upload_file(\n",
    "    path_or_fileobj=image_out,\n",
    "    path_in_repo=f\"blog/multi-lora-serving/{image_out}\",\n",
    "    repo_id=\"huggingface/documentation-images\",\n",
    "    repo_type=\"dataset\",\n",
    "    commit_message=commit_message_image,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "81e6b86b-c439-4acd-a072-2ef3ab782f90",
   "metadata": {},
   "source": [
    "# Push Notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "adca7ec0-25c3-42e3-84b7-f7f9342e4e4f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdin",
     "output_type": "stream",
     "text": [
      " Fixed line width\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "CommitInfo(commit_url='https://huggingface.co/datasets/huggingface/documentation-images/commit/481c188cb1ec30af0fb845fd680de2264a21b01c', commit_message='Fixed line width', commit_description='', oid='481c188cb1ec30af0fb845fd680de2264a21b01c', pr_url=None, pr_revision=None, pr_num=None)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from huggingface_hub import HfApi\n",
    "\n",
    "notebook = \"multi-lora-serving-pattern.ipynb\"\n",
    "commit_message_notebook = input()\n",
    "\n",
    "api = HfApi()\n",
    "api.upload_file(\n",
    "    path_or_fileobj=notebook,\n",
    "    path_in_repo=f\"blog/multi-lora-serving/{notebook}\",\n",
    "    repo_id=\"huggingface/documentation-images\",\n",
    "    repo_type=\"dataset\",\n",
    "    commit_message=commit_message_notebook\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "59fe0f00-27aa-428f-bc52-abcede301f8b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}