{
  "status": "synthetic",
  "provenance": "Independent invented assumptions and simulated aggregates; no employer files read.",
  "definitions": {
    "baseline": "420k DAU held flat, including its assumed replacement acquisition; only additional acquisition is modeled.",
    "retention": "R(0)=1; R(age)=p1 * age^(-decay) for age >=1. Simulated observations are illustrative, not evidence of predictive validation.",
    "time": "360 modeled days, four equal 90-day quarters, not calendar quarters.",
    "premium": "A uniform additional unit acquisition cost for the ramp schedule only; a hypothetical price stress, not an estimated market response.",
    "cost": "Acquisition spend for incremental users only, in illustrative currency units (CU). Excludes baseline acquisition and service costs.",
    "milestones": "Illustrative quarter-end floors at 35%, 60%, 80%, 100% of the DAU gap; scenario assumptions, not company targets.",
    "channel_ratio": "Modeled 12-month gross revenue / (acquisition + service cost). This is not net ROI or lifetime profit; other costs and refunds are not modeled."
  },
  "config": {
    "status": "synthetic",
    "days": 360,
    "quarter_days": 90,
    "baseline_dau": 420000,
    "default_target": 560000,
    "unit_acquisition_cost_cu": 1.6,
    "schedules": {
      "even": [
        1,
        1,
        1,
        1
      ],
      "ramp": [
        0.75,
        0.9,
        1.1,
        1.3
      ]
    },
    "retention_profiles": {
      "weaker": {
        "label": "Weaker retention",
        "day_one": 0.25,
        "decay": 0.5
      },
      "base": {
        "label": "Base retention",
        "day_one": 0.31,
        "decay": 0.43
      },
      "stronger": {
        "label": "Stronger retention",
        "day_one": 0.37,
        "decay": 0.36
      }
    }
  },
  "default": {
    "even": {
      "daily_incremental_acquisitions": [
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356,
        8647.402717774356
      ],
      "dau": [
        420000,
        428647.4027177744,
        431328.0975602844,
        433317.8748999694,
        434989.2935325045,
        436466.2292130374,
        437808.03690428153,
        439048.66708247503,
        440209.7285749614,
        441306.0014899885,
        442348.13437318156,
        443344.10694563313,
        444300.0863241124,
        445220.95869509334,
        446110.675384718,
        446972.48696099094,
        447809.1067585373,
        448622.82824963727,
        449415.6112748085,
        450189.1466892223,
        450944.9056938804,
        451684.17807363265,
        452408.1022522772,
        453117.6892124711,
        453813.84174805507,
        454497.3701181862,
        455169.00489426387,
        455829.4075927288,
        456479.1795439873,
        457118.8693431964,
        457748.9791511897,
        458369.9700557459,
        458982.2666593769,
        459586.26102610957,
        460182.3160936881,
        460770.76863731875,
        461351.93185512343,
        461926.09763283026,
        462493.5385351529,
        463054.509563218,
        463609.2497108596,
        464157.9833472882,
        464700.92144929257,
        465238.26270256564,
        465770.1944887941,
        466296.8937727035,
        466818.52790121076,
        467335.25532512454,
        467847.22625239805,
        468354.58324072475,
        468857.46173623914,
        469355.9905642099,
        469850.29237686534,
        470340.48406285443,
        470826.6771222941,
        471308.9780108825,
        471787.4884561494,
        472262.30574855785,
        472733.5230098665,
        473201.22944089177,
        473665.5105505751,
        474126.4483680551,
        474584.1216392652,
        475038.6060094184,
        475489.97419260046,
        475938.29612957133,
        476383.6391347635,
        476826.0680333701,
        477265.6452893297,
        477702.43112493784,
        478136.4836327467,
        478567.8588803535,
        478996.6110086248,
        479422.79232385196,
        479846.4533842927,
        480267.64308151125,
        480686.4087168954,
        481102.7960736967,
        481516.84948491,
        481928.61189728417,
        482338.12493172905,
        482745.42894036666,
        483150.56306045,
        483553.565265359,
        483954.47241286543,
        484353.3202908431,
        484750.14366058796,
        485144.9762978994,
        485537.8510320624,
        485928.79978286085,
        486317.853595743,
        486705.04267524986,
        487090.3964168113,
        487473.94343700644,
        487855.71160237835,
        488235.7280568855,
        488614.01924807066,
        488990.6109520178,
        489365.5282971659,
        489738.7957870427,
        490110.4373219795,
        490480.4762198598,
        490848.9352359559,
        491215.83658190176,
        491581.2019438469,
        491945.0524998355,
        492307.40893645,
        492668.2914647572,
        493027.7198355923,
        493385.7133542148,
        493742.29089436634,
        494097.47091176175,
        494451.27145704004,
        494803.7101882013,
        495154.80438255554,
        495504.57094820554,
        495853.02643508627,
        496200.1870455822,
        496546.0686447408,
        496890.6867701022,
        497234.0566411619,
        497576.19316848356,
        497917.1109624768,
        498256.824341856,
        498595.3473417935,
        498932.6937217809,
        499268.87697321136,
        499603.91032669425,
        499937.8067591143,
        500270.579000446,
        500602.2395403333,
        500932.8006344445,
        501262.2743106124,
        501590.67237476684,
        501918.0064166703,
        502244.28781546245,
        502569.5277450238,
        502893.7371791624,
        503216.92689663416,
        503539.1074860006,
        503860.28935033194,
        504180.4827117611,
        504499.6976158939,
        504817.94393608195,
        505135.23137756245,
        505451.5694814707,
        505766.9676287294,
        506081.4350438204,
        506394.9807984417,
        506707.61381505517,
        507019.34287032904,
        507330.17659847764,
        507640.12349450367,
        507949.1919173454,
        508257.3900929328,
        508564.72611715563,
        508871.2079587461,
        509176.84346208035,
        509481.64034989965,
        509785.60622595635,
        510088.74857758475,
        510391.0747782019,
        510692.59208973835,
        510993.30766500323,
        511293.22854998417,
        511592.3616860857,
        511890.7139123066,
        512188.29196736007,
        512485.10249173664,
        512781.15202971327,
        513076.44703130896,
        513370.99385419034,
        513664.7987655266,
        513957.86794379784,
        514250.2074805558,
        514541.8233821406,
        514832.7215713535,
        515122.9078890877,
        515412.388095918,
        515701.1678736513,
        515989.2528268382,
        516276.64848424715,
        516563.36030030367,
        516849.39365649264,
        517134.7538627285,
        517419.4461586906,
        517703.47571512836,
        517986.84763513354,
        518269.5669553835,
        518551.6386473549,
        518833.06761850836,
        519113.85871344624,
        519394.016715043,
        519673.54634554946,
        519952.45226767205,
        520230.73908562696,
        520508.4113461706,
        520785.47353960644,
        521061.93010076956,
        521337.7854099888,
        521613.0437940276,
        521887.70952700404,
        522161.78683129046,
        522435.27987839316,
        522708.1927898136,
        522980.52963788965,
        523252.2944466199,
        523523.4911924694,
        523794.1238051583,
        524064.1961684341,
        524333.7121208267,
        524602.6754563884,
        524871.0899254176,
        525138.9592351677,
        525406.2870505414,
        525673.0769947702,
        525939.3326500801,
        526205.0575583439,
        526470.2552217193,
        526734.9291032752,
        526999.0826276045,
        527262.7191814245,
        527525.8421141659,
        527788.4547385493,
        528050.5603311511,
        528312.1621329568,
        528573.2633499051,
        528833.8671534201,
        529093.9766809333,
        529353.595036396,
        529612.7252907811,
        529871.3704825758,
        530129.5336182645,
        530387.2176728022,
        530644.4255900793,
        530901.1602833782,
        531157.4246358196,
        531413.2215008021,
        531668.5537024324,
        531923.4240359485,
        532177.8352681338,
        532431.7901377248,
        532685.2913558108,
        532938.3416062258,
        533190.9435459337,
        533443.0998054069,
        533694.8129889972,
        533946.0856753008,
        534196.920417516,
        534447.3197437949,
        534697.286157589,
        534946.8221379886,
        535195.9301400558,
        535444.612595152,
        535692.8719112594,
        535940.7104732976,
        536188.1306434339,
        536435.1347613878,
        536681.7251447323,
        536927.9040891874,
        537173.6738689105,
        537419.036736781,
        537663.9949246803,
        537908.5506437669,
        538152.7060847468,
        538396.4634181398,
        538639.8247945413,
        538882.7923448788,
        539125.3681806652,
        539367.5543942476,
        539609.353059052,
        539850.7662298238,
        540091.7959428643,
        540332.4442162638,
        540572.7130501308,
        540812.6044268166,
        541052.120311138,
        541291.2626505948,
        541530.0333755845,
        541768.4343996138,
        542006.4676195061,
        542244.1349156064,
        542481.4381519824,
        542718.379176623,
        542954.9598216331,
        543191.1819034257,
        543427.0472229109,
        543662.5575656821,
        543897.7147021992,
        544132.5203879691,
        544366.9763637232,
        544601.0843555924,
        544834.8460752793,
        545068.2632202279,
        545301.337473791,
        545534.0705053939,
        545766.4639706975,
        545998.5195117574,
        546230.238757181,
        546461.6233222829,
        546692.6748092376,
        546923.3948072292,
        547153.7848926,
        547383.846628997,
        547613.5815675147,
        547842.9912468375,
        548072.0771933795,
        548300.8409214218,
        548529.2839332481,
        548757.4077192792,
        548985.2137582039,
        549212.7035171093,
        549439.8784516092,
        549666.7400059695,
        549893.2896132336,
        550119.5286953448,
        550345.4586632666,
        550571.0809171031,
        550796.3968462158,
        551021.40782934,
        551246.1152346988,
        551470.5204201161,
        551694.6247331282,
        551918.4295110926,
        552141.9360812966,
        552365.1457610646,
        552588.0598578624,
        552810.6796694015,
        553033.0064837415,
        553255.0415793909,
        553476.786225407,
        553698.2416814943,
        553919.4091981011,
        554140.2900165155,
        554360.8853689599,
        554581.1964786837,
        554801.2245600562,
        555020.9708186563,
        555240.4364513624,
        555459.6226464415,
        555678.5305836347,
        555897.1614342453,
        556115.5163612224,
        556333.5965192451,
        556551.4030548054,
        556768.9371062897,
        556986.1998040595,
        557203.1922705316,
        557419.9156202553,
        557636.3709599917,
        557852.5593887891,
        558068.481998059,
        558284.139871651,
        558499.5340859261,
        558714.6657098304,
        558929.5358049654,
        559144.145425661,
        559358.495619044,
        559572.5874251085,
        559786.4218767831,
        560000.0
      ],
      "quarterly": [
        {
          "quarter": 1,
          "incremental_daily_acquisitions": 8647.402717774356,
          "end_dau": 486317.853595743,
          "illustrative_floor": 469000.0,
          "floor_met": true
        },
        {
          "quarter": 2,
          "incremental_daily_acquisitions": 8647.402717774356,
          "end_dau": 515989.2528268382,
          "illustrative_floor": 504000.0,
          "floor_met": true
        },
        {
          "quarter": 3,
          "incremental_daily_acquisitions": 8647.402717774356,
          "end_dau": 539609.353059052,
          "illustrative_floor": 532000.0,
          "floor_met": true
        },
        {
          "quarter": 4,
          "incremental_daily_acquisitions": 8647.402717774356,
          "end_dau": 560000.0,
          "illustrative_floor": 560000,
          "floor_met": true
        }
      ],
      "incremental_acquisitions": 3113064.978398768,
      "acquisition_cost_cu": 4980903.96543803,
      "incremental_active_user_days": 32829558.565244902,
      "terminal_dau": 560000.0
    },
    "ramp": {
      "daily_incremental_acquisitions": [
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        5842.733488191552,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        7011.280185829863,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        8569.34244934761,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356,
        10127.404712865356
      ],
      "dau": [
        420000,
        425842.73348819156,
        427653.98086953093,
        428998.40058445017,
        430127.7169741018,
        431125.62835190975,
        432032.23869355954,
        432870.48709312733,
        433654.9738442828,
        434395.6853251602,
        435099.8163682608,
        435772.75857903843,
        436418.67885255365,
        437040.8786061539,
        437642.0276062794,
        438224.3221427477,
        438789.59551644645,
        439339.3973426455,
        439875.05181384494,
        440397.7013789922,
        440908.3400747524,
        441407.8393615377,
        441896.96843063773,
        442376.410366028,
        442846.775152461,
        443308.61025239056,
        443762.40928616945,
        444208.6192162427,
        444647.64633955475,
        445079.8613217726,
        445505.6034545905,
        445925.1842781429,
        446338.89068080497,
        446746.9875658887,
        447149.7201571428,
        447547.316001247,
        447939.9867147079,
        448327.92951402796,
        448711.3285612073,
        449090.35615117295,
        449465.17376331077,
        449835.93299568334,
        450202.7763975843,
        450565.8382136637,
        450925.2450508684,
        451281.11647778586,
        451633.56556460226,
        451982.6993707291,
        452328.6193861821,
        452671.42193197674,
        453011.1985241082,
        453348.0362050949,
        453682.0178465581,
        454013.2224258793,
        454341.7252796062,
        454667.59833595733,
        454990.9103285009,
        455311.7269928416,
        455630.1112479432,
        455946.1233635322,
        456259.82111487037,
        456571.25992604415,
        456880.4930027983,
        457187.5714558343,
        457492.5444153984,
        457795.4591379019,
        458096.36110524286,
        458395.2941174315,
        458692.30037906463,
        458987.42058014305,
        459280.69397167774,
        459572.158436492,
        459861.8505555875,
        460149.8056704107,
        460436.05794132577,
        460720.640402573,
        461003.58501396864,
        461284.92270958005,
        461564.68344358914,
        461842.89623354183,
        462119.5892011637,
        462394.7896109064,
        462668.5239063792,
        462940.81774480507,
        463211.6960296312,
        463481.18294141383,
        463749.30196708837,
        464016.07592772617,
        464281.5270048733,
        464545.6767655595,
        464808.5461860576,
        466238.7023721087,
        466861.3212661201,
        467389.35389135336,
        467873.1639444418,
        468329.5094282496,
        468766.4290075504,
        469188.52791711583,
        469598.7431940462,
        469999.08867010527,
        470391.01946037216,
        470775.6296409781,
        471153.76796583977,
        471526.10972601455,
        471893.2035273281,
        472255.50293697306,
        472613.38859229354,
        472967.1840722216,
        473317.16756017355,
        473663.5805897961,
        474006.6347207187,
        474346.5167148748,
        474683.3926066782,
        475017.4109437884,
        475348.7053968019,
        475677.3968823955,
        476003.5953068252,
        476327.401009938,
        476648.9059705546,
        476968.1948199556,
        477285.3456997359,
        477600.43099244445,
        477913.51794747525,
        478224.6692201218,
        478533.9433381862,
        478841.39510778914,
        479147.0759678725,
        479451.0343011752,
        479753.3157081033,
        480053.9632488199,
        480353.01765799755,
        480650.51753595524,
        480946.499519318,
        481240.9984338504,
        481534.0474317202,
        481825.6781151131,
        482115.9206478482,
        482404.80385640846,
        482692.35532160767,
        482978.6014619524,
        483263.56760961545,
        483547.27807982155,
        483829.75623434316,
        484111.02453971875,
        484391.10462073144,
        484670.0173096208,
        484947.7826914466,
        485224.4201459745,
        485499.9483864115,
        485774.3854952838,
        486047.7489577173,
        486320.0556923518,
        486591.3220800985,
        486861.5639909265,
        487130.7968088448,
        487399.0354552319,
        487666.2944106483,
        487932.5877352536,
        488197.92908794107,
        488462.33174428775,
        488725.8086134136,
        488988.37225383136,
        489250.03488836205,
        489510.80841818615,
        489770.7044360925,
        490029.73423898214,
        490287.90883967944,
        490545.23897809966,
        490801.7351318156,
        491057.40752606484,
        491312.26614323433,
        491566.32073185686,
        491819.5808151513,
        492072.0556991348,
        492323.7544803356,
        492574.6860531291,
        492824.85911672225,
        493074.2821818071,
        493322.9635769025,
        493570.9114544033,
        493818.1337963536,
        495622.70068347844,
        496351.49454807147,
        496955.09847735544,
        497500.6463156996,
        498010.464821646,
        498495.25545632385,
        498961.1422426506,
        499412.0253910434,
        499850.57460594334,
        500278.7150548582,
        500697.8909235708,
        501109.21969069145,
        501513.58792634914,
        501911.71364918875,
        502304.1885092411,
        502691.50725425326,
        503074.08888007305,
        503452.2921701395,
        503826.4273459045,
        504196.7649577072,
        504563.54277682607,
        504926.9712130719,
        505287.23762687866,
        505644.50980032375,
        505998.93875976175,
        506350.6610925924,
        506699.80086502444,
        507046.4712219642,
        507390.77573132503,
        507732.80952109746,
        508072.6602470572,
        508410.4089210542,
        508746.13062375336,
        509079.8951210053,
        509411.76739936654,
        509741.8081334126,
        510070.07409521216,
        510396.61851451313,
        510721.4913967337,
        511044.7398046744,
        511366.40810890775,
        511686.53821101954,
        512005.16974323423,
        512322.3402474225,
        512638.08533605014,
        512952.43883725844,
        513265.4329259591,
        513577.0982425662,
        513887.46400077076,
        514196.558085577,
        514504.4071426618,
        514811.03665998526,
        515116.4710424631,
        515420.7336804153,
        515723.8470124173,
        516025.83258310915,
        516326.71109645115,
        516626.5024648623,
        516925.22585462563,
        517222.8997279067,
        517519.5418816904,
        517815.16948391154,
        518109.79910702456,
        518403.4467592339,
        518696.1279135823,
        518987.85753507726,
        519278.6501060161,
        519568.5196496552,
        519857.47975235694,
        520145.54358433164,
        520432.7239190855,
        520719.0331516721,
        521004.4833158374,
        521289.08610014047,
        521572.85286312544,
        521855.79464761214,
        522137.92219416855,
        522419.2459538229,
        522699.7761000672,
        522979.5225402015,
        523258.4949260629,
        523536.70266418037,
        523814.1549253935,
        524090.8606539692,
        524366.8285762495,
        524642.0672088596,
        524916.5848665036,
        525190.3896693747,
        525463.4895502009,
        525735.8922609508,
        527565.6676427366,
        528319.697879516,
        528948.5658022156,
        529519.4049916593,
        530054.5419362629,
        530564.6778210702,
        531055.9363875391,
        531532.2175597977,
        531996.1907516804,
        532449.7808362477,
        532894.4317014423,
        533331.2605250602,
        533761.1535738328,
        534184.8285607911,
        534602.876828478,
        535015.7928155991,
        535423.9952077074,
        535827.8424769733,
        536227.6445328688,
        536623.6716132858,
        537016.1611768177,
        537405.3233205653,
        537791.3450924269,
        538174.3939623045,
        538554.6206449112,
        538932.1614167003,
        539307.1400337798,
        539679.6693319408,
        540049.8525710972,
        540417.7845724772,
        540783.5526864433,
        541147.2376208851,
        541508.9141540577,
        541868.6517510405,
        542226.5150993405,
        542582.5645762815,
        542936.8566585479,
        543289.4442824359,
        543640.377161903,
        543989.7020703345,
        544337.4630909822,
        544683.7018402511,
        545028.457667365,
        545371.7678334113,
        545713.6676723231,
        546054.1907359886,
        546393.3689253731,
        546731.2326092741,
        547067.8107321159,
        547403.1309120043,
        547737.2195301005,
        548070.1018122447,
        548401.8019036392,
        548732.3429373052,
        549061.7470969404,
        549390.0356747326,
        549717.2291246187,
        550043.3471114232,
        550368.408556264,
        550692.4316785693,
        551015.4340350102,
        551337.4325556275,
        551658.4435773961,
        551978.4828754476,
        552297.5656921519,
        552615.7067642342,
        552932.9203480912,
        553249.2202434489,
        553564.619815499,
        553879.1320156292,
        554192.7694008575,
        554505.5441520711,
        554817.4680911577,
        555128.5526971117,
        555438.8091211913,
        555748.2482011938,
        556056.8804749122,
        556364.7161928322,
        556671.7653301181,
        556978.0375979407,
        557283.5424541896,
        557588.2891136108,
        557892.2865574074,
        558195.5435423391,
        558498.0686093518,
        558799.8700917677,
        559100.9561230636,
        559401.3346442607,
        559701.0134109544,
        560000.0
      ],
      "quarterly": [
        {
          "quarter": 1,
          "incremental_daily_acquisitions": 5842.733488191552,
          "end_dau": 464808.5461860576,
          "illustrative_floor": 469000.0,
          "floor_met": false
        },
        {
          "quarter": 2,
          "incremental_daily_acquisitions": 7011.280185829863,
          "end_dau": 493818.1337963536,
          "illustrative_floor": 504000.0,
          "floor_met": false
        },
        {
          "quarter": 3,
          "incremental_daily_acquisitions": 8569.34244934761,
          "end_dau": 525735.8922609508,
          "illustrative_floor": 532000.0,
          "floor_met": false
        },
        {
          "quarter": 4,
          "incremental_daily_acquisitions": 10127.404712865356,
          "end_dau": 560000.0,
          "illustrative_floor": 560000,
          "floor_met": true
        }
      ],
      "incremental_acquisitions": 2839568.4752610945,
      "acquisition_cost_cu": 4543309.560417752,
      "incremental_active_user_days": 27803407.574448887,
      "terminal_dau": 560000.0
    },
    "relative_cost_change": -0.08785441519384829,
    "relative_user_days_change": -0.1530983421786537
  },
  "retention": [
    {
      "day": 1,
      "cohort": 20000,
      "returning": 6172,
      "assumed_rate": 0.31,
      "simulated_rate": 0.3086
    },
    {
      "day": 2,
      "cohort": 20000,
      "returning": 4742,
      "assumed_rate": 0.23010115344750262,
      "simulated_rate": 0.2371
    },
    {
      "day": 3,
      "cohort": 20000,
      "returning": 3984,
      "assumed_rate": 0.19328562426029094,
      "simulated_rate": 0.1992
    },
    {
      "day": 4,
      "cohort": 20000,
      "returning": 3495,
      "assumed_rate": 0.17079529296087465,
      "simulated_rate": 0.17475
    },
    {
      "day": 5,
      "cohort": 20000,
      "returning": 3150,
      "assumed_rate": 0.1551688680447412,
      "simulated_rate": 0.1575
    },
    {
      "day": 6,
      "cohort": 20000,
      "returning": 2805,
      "assumed_rate": 0.14346853253907593,
      "simulated_rate": 0.14025
    },
    {
      "day": 7,
      "cohort": 20000,
      "returning": 2724,
      "assumed_rate": 0.1342670776856389,
      "simulated_rate": 0.1362
    },
    {
      "day": 8,
      "cohort": 20000,
      "returning": 2491,
      "assumed_rate": 0.12677481907645607,
      "simulated_rate": 0.12455
    },
    {
      "day": 9,
      "cohort": 20000,
      "returning": 2404,
      "assumed_rate": 0.1205139759538399,
      "simulated_rate": 0.1202
    },
    {
      "day": 10,
      "cohort": 20000,
      "returning": 2204,
      "assumed_rate": 0.1151759210201235,
      "simulated_rate": 0.1102
    },
    {
      "day": 11,
      "cohort": 20000,
      "returning": 2235,
      "assumed_rate": 0.11055104170345585,
      "simulated_rate": 0.11175
    },
    {
      "day": 12,
      "cohort": 20000,
      "returning": 2166,
      "assumed_rate": 0.10649120909890947,
      "simulated_rate": 0.1083
    },
    {
      "day": 13,
      "cohort": 20000,
      "returning": 1977,
      "assumed_rate": 0.1028883144063454,
      "simulated_rate": 0.09885
    },
    {
      "day": 14,
      "cohort": 20000,
      "returning": 2017,
      "assumed_rate": 0.0996613207919063,
      "simulated_rate": 0.10085
    },
    {
      "day": 15,
      "cohort": 20000,
      "returning": 1931,
      "assumed_rate": 0.09674810169609843,
      "simulated_rate": 0.09655
    },
    {
      "day": 16,
      "cohort": 20000,
      "returning": 1840,
      "assumed_rate": 0.09410010354061614,
      "simulated_rate": 0.092
    },
    {
      "day": 17,
      "cohort": 20000,
      "returning": 1832,
      "assumed_rate": 0.09167874459480371,
      "simulated_rate": 0.0916
    },
    {
      "day": 18,
      "cohort": 20000,
      "returning": 1745,
      "assumed_rate": 0.08945291894684888,
      "simulated_rate": 0.08725
    },
    {
      "day": 19,
      "cohort": 20000,
      "returning": 1645,
      "assumed_rate": 0.08739722542407538,
      "simulated_rate": 0.08225
    },
    {
      "day": 20,
      "cohort": 20000,
      "returning": 1790,
      "assumed_rate": 0.08549068476164154,
      "simulated_rate": 0.0895
    },
    {
      "day": 21,
      "cohort": 20000,
      "returning": 1647,
      "assumed_rate": 0.08371579331636675,
      "simulated_rate": 0.08235
    },
    {
      "day": 22,
      "cohort": 20000,
      "returning": 1606,
      "assumed_rate": 0.08205781358318762,
      "simulated_rate": 0.0803
    },
    {
      "day": 23,
      "cohort": 20000,
      "returning": 1633,
      "assumed_rate": 0.08050423442787867,
      "simulated_rate": 0.08165
    },
    {
      "day": 24,
      "cohort": 20000,
      "returning": 1550,
      "assumed_rate": 0.07904435498605888,
      "simulated_rate": 0.0775
    },
    {
      "day": 25,
      "cohort": 20000,
      "returning": 1613,
      "assumed_rate": 0.07766896003318163,
      "simulated_rate": 0.08065
    },
    {
      "day": 26,
      "cohort": 20000,
      "returning": 1572,
      "assumed_rate": 0.07637006393925605,
      "simulated_rate": 0.0786
    },
    {
      "day": 27,
      "cohort": 20000,
      "returning": 1471,
      "assumed_rate": 0.07514070669137947,
      "simulated_rate": 0.07355
    },
    {
      "day": 28,
      "cohort": 20000,
      "returning": 1459,
      "assumed_rate": 0.07397478989780391,
      "simulated_rate": 0.07295
    },
    {
      "day": 29,
      "cohort": 20000,
      "returning": 1491,
      "assumed_rate": 0.0728669438163386,
      "simulated_rate": 0.07455
    },
    {
      "day": 30,
      "cohort": 20000,
      "returning": 1431,
      "assumed_rate": 0.0718124186907372,
      "simulated_rate": 0.07155
    },
    {
      "day": 31,
      "cohort": 20000,
      "returning": 1389,
      "assumed_rate": 0.0708069953042024,
      "simulated_rate": 0.06945
    },
    {
      "day": 32,
      "cohort": 20000,
      "returning": 1407,
      "assumed_rate": 0.06984691085233935,
      "simulated_rate": 0.07035
    },
    {
      "day": 33,
      "cohort": 20000,
      "returning": 1385,
      "assumed_rate": 0.06892879712347717,
      "simulated_rate": 0.06925
    },
    {
      "day": 34,
      "cohort": 20000,
      "returning": 1381,
      "assumed_rate": 0.06804962863833333,
      "simulated_rate": 0.06905
    },
    {
      "day": 35,
      "cohort": 20000,
      "returning": 1381,
      "assumed_rate": 0.06720667890372878,
      "simulated_rate": 0.06905
    },
    {
      "day": 36,
      "cohort": 20000,
      "returning": 1257,
      "assumed_rate": 0.06639748331908352,
      "simulated_rate": 0.06285
    },
    {
      "day": 37,
      "cohort": 20000,
      "returning": 1327,
      "assumed_rate": 0.06561980757023717,
      "simulated_rate": 0.06635
    },
    {
      "day": 38,
      "cohort": 20000,
      "returning": 1331,
      "assumed_rate": 0.06487162057481015,
      "simulated_rate": 0.06655
    },
    {
      "day": 39,
      "cohort": 20000,
      "returning": 1295,
      "assumed_rate": 0.0641510712229663,
      "simulated_rate": 0.06475
    },
    {
      "day": 40,
      "cohort": 20000,
      "returning": 1260,
      "assumed_rate": 0.06345646829893727,
      "simulated_rate": 0.063
    },
    {
      "day": 41,
      "cohort": 20000,
      "returning": 1196,
      "assumed_rate": 0.06278626308086445,
      "simulated_rate": 0.0598
    },
    {
      "day": 42,
      "cohort": 20000,
      "returning": 1245,
      "assumed_rate": 0.06213903420602813,
      "simulated_rate": 0.06225
    },
    {
      "day": 43,
      "cohort": 20000,
      "returning": 1274,
      "assumed_rate": 0.0615134744603778,
      "simulated_rate": 0.0637
    },
    {
      "day": 44,
      "cohort": 20000,
      "returning": 1176,
      "assumed_rate": 0.06090837920926327,
      "simulated_rate": 0.0588
    },
    {
      "day": 45,
      "cohort": 20000,
      "returning": 1229,
      "assumed_rate": 0.06032263623331773,
      "simulated_rate": 0.06145
    },
    {
      "day": 46,
      "cohort": 20000,
      "returning": 1242,
      "assumed_rate": 0.059755216771816236,
      "simulated_rate": 0.0621
    },
    {
      "day": 47,
      "cohort": 20000,
      "returning": 1200,
      "assumed_rate": 0.05920516760728009,
      "simulated_rate": 0.06
    },
    {
      "day": 48,
      "cohort": 20000,
      "returning": 1185,
      "assumed_rate": 0.05867160405098711,
      "simulated_rate": 0.05925
    },
    {
      "day": 49,
      "cohort": 20000,
      "returning": 1114,
      "assumed_rate": 0.058153703710456105,
      "simulated_rate": 0.0557
    },
    {
      "day": 50,
      "cohort": 20000,
      "returning": 1132,
      "assumed_rate": 0.057650700937751855,
      "simulated_rate": 0.0566
    },
    {
      "day": 51,
      "cohort": 20000,
      "returning": 1141,
      "assumed_rate": 0.05716188187227875,
      "simulated_rate": 0.05705
    },
    {
      "day": 52,
      "cohort": 20000,
      "returning": 1110,
      "assumed_rate": 0.05668658000413659,
      "simulated_rate": 0.0555
    },
    {
      "day": 53,
      "cohort": 20000,
      "returning": 1116,
      "assumed_rate": 0.056224172194533836,
      "simulated_rate": 0.0558
    },
    {
      "day": 54,
      "cohort": 20000,
      "returning": 1076,
      "assumed_rate": 0.05577407509853837,
      "simulated_rate": 0.0538
    },
    {
      "day": 55,
      "cohort": 20000,
      "returning": 1040,
      "assumed_rate": 0.055335741942878144,
      "simulated_rate": 0.052
    },
    {
      "day": 56,
      "cohort": 20000,
      "returning": 1045,
      "assumed_rate": 0.054908659617810794,
      "simulated_rate": 0.05225
    },
    {
      "day": 57,
      "cohort": 20000,
      "returning": 1086,
      "assumed_rate": 0.05449234604745091,
      "simulated_rate": 0.0543
    },
    {
      "day": 58,
      "cohort": 20000,
      "returning": 1098,
      "assumed_rate": 0.05408634780752864,
      "simulated_rate": 0.0549
    },
    {
      "day": 59,
      "cohort": 20000,
      "returning": 1029,
      "assumed_rate": 0.05369023796347985,
      "simulated_rate": 0.05145
    },
    {
      "day": 60,
      "cohort": 20000,
      "returning": 1115,
      "assumed_rate": 0.053303614105140736,
      "simulated_rate": 0.05575
    },
    {
      "day": 61,
      "cohort": 20000,
      "returning": 1073,
      "assumed_rate": 0.05292609655722307,
      "simulated_rate": 0.05365
    },
    {
      "day": 62,
      "cohort": 20000,
      "returning": 1037,
      "assumed_rate": 0.05255732674725442,
      "simulated_rate": 0.05185
    },
    {
      "day": 63,
      "cohort": 20000,
      "returning": 1034,
      "assumed_rate": 0.0521969657148369,
      "simulated_rate": 0.0517
    },
    {
      "day": 64,
      "cohort": 20000,
      "returning": 1067,
      "assumed_rate": 0.05184469274796184,
      "simulated_rate": 0.05335
    },
    {
      "day": 65,
      "cohort": 20000,
      "returning": 984,
      "assumed_rate": 0.051500204133755015,
      "simulated_rate": 0.0492
    },
    {
      "day": 66,
      "cohort": 20000,
      "returning": 996,
      "assumed_rate": 0.05116321201245483,
      "simulated_rate": 0.0498
    },
    {
      "day": 67,
      "cohort": 20000,
      "returning": 998,
      "assumed_rate": 0.05083344332467309,
      "simulated_rate": 0.0499
    },
    {
      "day": 68,
      "cohort": 20000,
      "returning": 994,
      "assumed_rate": 0.050510638843079686,
      "simulated_rate": 0.0497
    },
    {
      "day": 69,
      "cohort": 20000,
      "returning": 993,
      "assumed_rate": 0.05019455228061075,
      "simulated_rate": 0.04965
    },
    {
      "day": 70,
      "cohort": 20000,
      "returning": 1021,
      "assumed_rate": 0.04988494946814171,
      "simulated_rate": 0.05105
    },
    {
      "day": 71,
      "cohort": 20000,
      "returning": 1021,
      "assumed_rate": 0.04958160759530844,
      "simulated_rate": 0.05105
    },
    {
      "day": 72,
      "cohort": 20000,
      "returning": 971,
      "assumed_rate": 0.0492843145088143,
      "simulated_rate": 0.04855
    },
    {
      "day": 73,
      "cohort": 20000,
      "returning": 967,
      "assumed_rate": 0.04899286806313922,
      "simulated_rate": 0.04835
    },
    {
      "day": 74,
      "cohort": 20000,
      "returning": 997,
      "assumed_rate": 0.04870707551907979,
      "simulated_rate": 0.04985
    },
    {
      "day": 75,
      "cohort": 20000,
      "returning": 1024,
      "assumed_rate": 0.048426752986003546,
      "simulated_rate": 0.0512
    },
    {
      "day": 76,
      "cohort": 20000,
      "returning": 981,
      "assumed_rate": 0.04815172490410503,
      "simulated_rate": 0.04905
    },
    {
      "day": 77,
      "cohort": 20000,
      "returning": 991,
      "assumed_rate": 0.04788182356331037,
      "simulated_rate": 0.04955
    },
    {
      "day": 78,
      "cohort": 20000,
      "returning": 951,
      "assumed_rate": 0.0476168886557982,
      "simulated_rate": 0.04755
    },
    {
      "day": 79,
      "cohort": 20000,
      "returning": 961,
      "assumed_rate": 0.04735676685939055,
      "simulated_rate": 0.04805
    },
    {
      "day": 80,
      "cohort": 20000,
      "returning": 921,
      "assumed_rate": 0.04710131144932371,
      "simulated_rate": 0.04605
    },
    {
      "day": 81,
      "cohort": 20000,
      "returning": 925,
      "assumed_rate": 0.04685038193613775,
      "simulated_rate": 0.04625
    },
    {
      "day": 82,
      "cohort": 20000,
      "returning": 934,
      "assumed_rate": 0.04660384372762987,
      "simulated_rate": 0.0467
    },
    {
      "day": 83,
      "cohort": 20000,
      "returning": 961,
      "assumed_rate": 0.04636156781300035,
      "simulated_rate": 0.04805
    },
    {
      "day": 84,
      "cohort": 20000,
      "returning": 910,
      "assumed_rate": 0.04612343046748675,
      "simulated_rate": 0.0455
    },
    {
      "day": 85,
      "cohort": 20000,
      "returning": 913,
      "assumed_rate": 0.04588931297593106,
      "simulated_rate": 0.04565
    },
    {
      "day": 86,
      "cohort": 20000,
      "returning": 937,
      "assumed_rate": 0.04565910137385943,
      "simulated_rate": 0.04685
    },
    {
      "day": 87,
      "cohort": 20000,
      "returning": 881,
      "assumed_rate": 0.045432686204775974,
      "simulated_rate": 0.04405
    },
    {
      "day": 88,
      "cohort": 20000,
      "returning": 858,
      "assumed_rate": 0.04520996229248182,
      "simulated_rate": 0.0429
    },
    {
      "day": 89,
      "cohort": 20000,
      "returning": 865,
      "assumed_rate": 0.044990828527330586,
      "simulated_rate": 0.04325
    },
    {
      "day": 90,
      "cohort": 20000,
      "returning": 918,
      "assumed_rate": 0.04477518766542105,
      "simulated_rate": 0.0459
    }
  ],
  "channels": [
    {
      "channel": "Paid discovery",
      "revenue_12m_cu": 3.2,
      "acquisition_cu": 3.4,
      "service_cu": 0.8,
      "total_modeled_cost_cu": 4.2,
      "revenue_cost_ratio": 0.7619047619047619,
      "modeled_contribution_cu": -1.0
    },
    {
      "channel": "Partner referrals",
      "revenue_12m_cu": 1.4,
      "acquisition_cu": 0.35,
      "service_cu": 0.45,
      "total_modeled_cost_cu": 0.8,
      "revenue_cost_ratio": 1.7499999999999998,
      "modeled_contribution_cu": 0.5999999999999999
    },
    {
      "channel": "Content sharing",
      "revenue_12m_cu": 2.1,
      "acquisition_cu": 0.95,
      "service_cu": 0.75,
      "total_modeled_cost_cu": 1.7,
      "revenue_cost_ratio": 1.2352941176470589,
      "modeled_contribution_cu": 0.40000000000000013
    },
    {
      "channel": "Adult student communities",
      "revenue_12m_cu": 5.9,
      "acquisition_cu": 3.8,
      "service_cu": 1.05,
      "total_modeled_cost_cu": 4.85,
      "revenue_cost_ratio": 1.2164948453608249,
      "modeled_contribution_cu": 1.0500000000000007
    }
  ],
  "sensitivity": [
    {
      "profile": "weaker",
      "ramp_premium": 0,
      "ramp_acquisition_cost_cu": 7129196.024146531
    },
    {
      "profile": "weaker",
      "ramp_premium": 0.05,
      "ramp_acquisition_cost_cu": 7485655.825353857
    },
    {
      "profile": "weaker",
      "ramp_premium": 0.1,
      "ramp_acquisition_cost_cu": 7842115.626561184
    },
    {
      "profile": "weaker",
      "ramp_premium": 0.15,
      "ramp_acquisition_cost_cu": 8198575.427768509
    },
    {
      "profile": "weaker",
      "ramp_premium": 0.2,
      "ramp_acquisition_cost_cu": 8555035.228975836
    },
    {
      "profile": "base",
      "ramp_premium": 0,
      "ramp_acquisition_cost_cu": 4543309.560417752
    },
    {
      "profile": "base",
      "ramp_premium": 0.05,
      "ramp_acquisition_cost_cu": 4770475.03843864
    },
    {
      "profile": "base",
      "ramp_premium": 0.1,
      "ramp_acquisition_cost_cu": 4997640.516459527
    },
    {
      "profile": "base",
      "ramp_premium": 0.15,
      "ramp_acquisition_cost_cu": 5224805.994480413
    },
    {
      "profile": "base",
      "ramp_premium": 0.2,
      "ramp_acquisition_cost_cu": 5451971.472501301
    },
    {
      "profile": "stronger",
      "ramp_premium": 0,
      "ramp_acquisition_cost_cu": 2925036.527466744
    },
    {
      "profile": "stronger",
      "ramp_premium": 0.05,
      "ramp_acquisition_cost_cu": 3071288.3538400815
    },
    {
      "profile": "stronger",
      "ramp_premium": 0.1,
      "ramp_acquisition_cost_cu": 3217540.1802134193
    },
    {
      "profile": "stronger",
      "ramp_premium": 0.15,
      "ramp_acquisition_cost_cu": 3363792.0065867556
    },
    {
      "profile": "stronger",
      "ramp_premium": 0.2,
      "ramp_acquisition_cost_cu": 3510043.832960093
    }
  ],
  "verification_cases": [
    {
      "target": 560000,
      "profile": "base",
      "premium": 0,
      "expected": {
        "even": {
          "daily_incremental_acquisitions": [
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356,
            8647.402717774356
          ],
          "dau": [
            420000,
            428647.4027177744,
            431328.0975602844,
            433317.8748999694,
            434989.2935325045,
            436466.2292130374,
            437808.03690428153,
            439048.66708247503,
            440209.7285749614,
            441306.0014899885,
            442348.13437318156,
            443344.10694563313,
            444300.0863241124,
            445220.95869509334,
            446110.675384718,
            446972.48696099094,
            447809.1067585373,
            448622.82824963727,
            449415.6112748085,
            450189.1466892223,
            450944.9056938804,
            451684.17807363265,
            452408.1022522772,
            453117.6892124711,
            453813.84174805507,
            454497.3701181862,
            455169.00489426387,
            455829.4075927288,
            456479.1795439873,
            457118.8693431964,
            457748.9791511897,
            458369.9700557459,
            458982.2666593769,
            459586.26102610957,
            460182.3160936881,
            460770.76863731875,
            461351.93185512343,
            461926.09763283026,
            462493.5385351529,
            463054.509563218,
            463609.2497108596,
            464157.9833472882,
            464700.92144929257,
            465238.26270256564,
            465770.1944887941,
            466296.8937727035,
            466818.52790121076,
            467335.25532512454,
            467847.22625239805,
            468354.58324072475,
            468857.46173623914,
            469355.9905642099,
            469850.29237686534,
            470340.48406285443,
            470826.6771222941,
            471308.9780108825,
            471787.4884561494,
            472262.30574855785,
            472733.5230098665,
            473201.22944089177,
            473665.5105505751,
            474126.4483680551,
            474584.1216392652,
            475038.6060094184,
            475489.97419260046,
            475938.29612957133,
            476383.6391347635,
            476826.0680333701,
            477265.6452893297,
            477702.43112493784,
            478136.4836327467,
            478567.8588803535,
            478996.6110086248,
            479422.79232385196,
            479846.4533842927,
            480267.64308151125,
            480686.4087168954,
            481102.7960736967,
            481516.84948491,
            481928.61189728417,
            482338.12493172905,
            482745.42894036666,
            483150.56306045,
            483553.565265359,
            483954.47241286543,
            484353.3202908431,
            484750.14366058796,
            485144.9762978994,
            485537.8510320624,
            485928.79978286085,
            486317.853595743,
            486705.04267524986,
            487090.3964168113,
            487473.94343700644,
            487855.71160237835,
            488235.7280568855,
            488614.01924807066,
            488990.6109520178,
            489365.5282971659,
            489738.7957870427,
            490110.4373219795,
            490480.4762198598,
            490848.9352359559,
            491215.83658190176,
            491581.2019438469,
            491945.0524998355,
            492307.40893645,
            492668.2914647572,
            493027.7198355923,
            493385.7133542148,
            493742.29089436634,
            494097.47091176175,
            494451.27145704004,
            494803.7101882013,
            495154.80438255554,
            495504.57094820554,
            495853.02643508627,
            496200.1870455822,
            496546.0686447408,
            496890.6867701022,
            497234.0566411619,
            497576.19316848356,
            497917.1109624768,
            498256.824341856,
            498595.3473417935,
            498932.6937217809,
            499268.87697321136,
            499603.91032669425,
            499937.8067591143,
            500270.579000446,
            500602.2395403333,
            500932.8006344445,
            501262.2743106124,
            501590.67237476684,
            501918.0064166703,
            502244.28781546245,
            502569.5277450238,
            502893.7371791624,
            503216.92689663416,
            503539.1074860006,
            503860.28935033194,
            504180.4827117611,
            504499.6976158939,
            504817.94393608195,
            505135.23137756245,
            505451.5694814707,
            505766.9676287294,
            506081.4350438204,
            506394.9807984417,
            506707.61381505517,
            507019.34287032904,
            507330.17659847764,
            507640.12349450367,
            507949.1919173454,
            508257.3900929328,
            508564.72611715563,
            508871.2079587461,
            509176.84346208035,
            509481.64034989965,
            509785.60622595635,
            510088.74857758475,
            510391.0747782019,
            510692.59208973835,
            510993.30766500323,
            511293.22854998417,
            511592.3616860857,
            511890.7139123066,
            512188.29196736007,
            512485.10249173664,
            512781.15202971327,
            513076.44703130896,
            513370.99385419034,
            513664.7987655266,
            513957.86794379784,
            514250.2074805558,
            514541.8233821406,
            514832.7215713535,
            515122.9078890877,
            515412.388095918,
            515701.1678736513,
            515989.2528268382,
            516276.64848424715,
            516563.36030030367,
            516849.39365649264,
            517134.7538627285,
            517419.4461586906,
            517703.47571512836,
            517986.84763513354,
            518269.5669553835,
            518551.6386473549,
            518833.06761850836,
            519113.85871344624,
            519394.016715043,
            519673.54634554946,
            519952.45226767205,
            520230.73908562696,
            520508.4113461706,
            520785.47353960644,
            521061.93010076956,
            521337.7854099888,
            521613.0437940276,
            521887.70952700404,
            522161.78683129046,
            522435.27987839316,
            522708.1927898136,
            522980.52963788965,
            523252.2944466199,
            523523.4911924694,
            523794.1238051583,
            524064.1961684341,
            524333.7121208267,
            524602.6754563884,
            524871.0899254176,
            525138.9592351677,
            525406.2870505414,
            525673.0769947702,
            525939.3326500801,
            526205.0575583439,
            526470.2552217193,
            526734.9291032752,
            526999.0826276045,
            527262.7191814245,
            527525.8421141659,
            527788.4547385493,
            528050.5603311511,
            528312.1621329568,
            528573.2633499051,
            528833.8671534201,
            529093.9766809333,
            529353.595036396,
            529612.7252907811,
            529871.3704825758,
            530129.5336182645,
            530387.2176728022,
            530644.4255900793,
            530901.1602833782,
            531157.4246358196,
            531413.2215008021,
            531668.5537024324,
            531923.4240359485,
            532177.8352681338,
            532431.7901377248,
            532685.2913558108,
            532938.3416062258,
            533190.9435459337,
            533443.0998054069,
            533694.8129889972,
            533946.0856753008,
            534196.920417516,
            534447.3197437949,
            534697.286157589,
            534946.8221379886,
            535195.9301400558,
            535444.612595152,
            535692.8719112594,
            535940.7104732976,
            536188.1306434339,
            536435.1347613878,
            536681.7251447323,
            536927.9040891874,
            537173.6738689105,
            537419.036736781,
            537663.9949246803,
            537908.5506437669,
            538152.7060847468,
            538396.4634181398,
            538639.8247945413,
            538882.7923448788,
            539125.3681806652,
            539367.5543942476,
            539609.353059052,
            539850.7662298238,
            540091.7959428643,
            540332.4442162638,
            540572.7130501308,
            540812.6044268166,
            541052.120311138,
            541291.2626505948,
            541530.0333755845,
            541768.4343996138,
            542006.4676195061,
            542244.1349156064,
            542481.4381519824,
            542718.379176623,
            542954.9598216331,
            543191.1819034257,
            543427.0472229109,
            543662.5575656821,
            543897.7147021992,
            544132.5203879691,
            544366.9763637232,
            544601.0843555924,
            544834.8460752793,
            545068.2632202279,
            545301.337473791,
            545534.0705053939,
            545766.4639706975,
            545998.5195117574,
            546230.238757181,
            546461.6233222829,
            546692.6748092376,
            546923.3948072292,
            547153.7848926,
            547383.846628997,
            547613.5815675147,
            547842.9912468375,
            548072.0771933795,
            548300.8409214218,
            548529.2839332481,
            548757.4077192792,
            548985.2137582039,
            549212.7035171093,
            549439.8784516092,
            549666.7400059695,
            549893.2896132336,
            550119.5286953448,
            550345.4586632666,
            550571.0809171031,
            550796.3968462158,
            551021.40782934,
            551246.1152346988,
            551470.5204201161,
            551694.6247331282,
            551918.4295110926,
            552141.9360812966,
            552365.1457610646,
            552588.0598578624,
            552810.6796694015,
            553033.0064837415,
            553255.0415793909,
            553476.786225407,
            553698.2416814943,
            553919.4091981011,
            554140.2900165155,
            554360.8853689599,
            554581.1964786837,
            554801.2245600562,
            555020.9708186563,
            555240.4364513624,
            555459.6226464415,
            555678.5305836347,
            555897.1614342453,
            556115.5163612224,
            556333.5965192451,
            556551.4030548054,
            556768.9371062897,
            556986.1998040595,
            557203.1922705316,
            557419.9156202553,
            557636.3709599917,
            557852.5593887891,
            558068.481998059,
            558284.139871651,
            558499.5340859261,
            558714.6657098304,
            558929.5358049654,
            559144.145425661,
            559358.495619044,
            559572.5874251085,
            559786.4218767831,
            560000.0
          ],
          "quarterly": [
            {
              "quarter": 1,
              "incremental_daily_acquisitions": 8647.402717774356,
              "end_dau": 486317.853595743,
              "illustrative_floor": 469000.0,
              "floor_met": true
            },
            {
              "quarter": 2,
              "incremental_daily_acquisitions": 8647.402717774356,
              "end_dau": 515989.2528268382,
              "illustrative_floor": 504000.0,
              "floor_met": true
            },
            {
              "quarter": 3,
              "incremental_daily_acquisitions": 8647.402717774356,
              "end_dau": 539609.353059052,
              "illustrative_floor": 532000.0,
              "floor_met": true
            },
            {
              "quarter": 4,
              "incremental_daily_acquisitions": 8647.402717774356,
              "end_dau": 560000.0,
              "illustrative_floor": 560000,
              "floor_met": true
            }
          ],
          "incremental_acquisitions": 3113064.978398768,
          "acquisition_cost_cu": 4980903.96543803,
          "incremental_active_user_days": 32829558.565244902,
          "terminal_dau": 560000.0
        },
        "ramp": {
          "daily_incremental_acquisitions": [
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            5842.733488191552,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            7011.280185829863,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            8569.34244934761,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356,
            10127.404712865356
          ],
          "dau": [
            420000,
            425842.73348819156,
            427653.98086953093,
            428998.40058445017,
            430127.7169741018,
            431125.62835190975,
            432032.23869355954,
            432870.48709312733,
            433654.9738442828,
            434395.6853251602,
            435099.8163682608,
            435772.75857903843,
            436418.67885255365,
            437040.8786061539,
            437642.0276062794,
            438224.3221427477,
            438789.59551644645,
            439339.3973426455,
            439875.05181384494,
            440397.7013789922,
            440908.3400747524,
            441407.8393615377,
            441896.96843063773,
            442376.410366028,
            442846.775152461,
            443308.61025239056,
            443762.40928616945,
            444208.6192162427,
            444647.64633955475,
            445079.8613217726,
            445505.6034545905,
            445925.1842781429,
            446338.89068080497,
            446746.9875658887,
            447149.7201571428,
            447547.316001247,
            447939.9867147079,
            448327.92951402796,
            448711.3285612073,
            449090.35615117295,
            449465.17376331077,
            449835.93299568334,
            450202.7763975843,
            450565.8382136637,
            450925.2450508684,
            451281.11647778586,
            451633.56556460226,
            451982.6993707291,
            452328.6193861821,
            452671.42193197674,
            453011.1985241082,
            453348.0362050949,
            453682.0178465581,
            454013.2224258793,
            454341.7252796062,
            454667.59833595733,
            454990.9103285009,
            455311.7269928416,
            455630.1112479432,
            455946.1233635322,
            456259.82111487037,
            456571.25992604415,
            456880.4930027983,
            457187.5714558343,
            457492.5444153984,
            457795.4591379019,
            458096.36110524286,
            458395.2941174315,
            458692.30037906463,
            458987.42058014305,
            459280.69397167774,
            459572.158436492,
            459861.8505555875,
            460149.8056704107,
            460436.05794132577,
            460720.640402573,
            461003.58501396864,
            461284.92270958005,
            461564.68344358914,
            461842.89623354183,
            462119.5892011637,
            462394.7896109064,
            462668.5239063792,
            462940.81774480507,
            463211.6960296312,
            463481.18294141383,
            463749.30196708837,
            464016.07592772617,
            464281.5270048733,
            464545.6767655595,
            464808.5461860576,
            466238.7023721087,
            466861.3212661201,
            467389.35389135336,
            467873.1639444418,
            468329.5094282496,
            468766.4290075504,
            469188.52791711583,
            469598.7431940462,
            469999.08867010527,
            470391.01946037216,
            470775.6296409781,
            471153.76796583977,
            471526.10972601455,
            471893.2035273281,
            472255.50293697306,
            472613.38859229354,
            472967.1840722216,
            473317.16756017355,
            473663.5805897961,
            474006.6347207187,
            474346.5167148748,
            474683.3926066782,
            475017.4109437884,
            475348.7053968019,
            475677.3968823955,
            476003.5953068252,
            476327.401009938,
            476648.9059705546,
            476968.1948199556,
            477285.3456997359,
            477600.43099244445,
            477913.51794747525,
            478224.6692201218,
            478533.9433381862,
            478841.39510778914,
            479147.0759678725,
            479451.0343011752,
            479753.3157081033,
            480053.9632488199,
            480353.01765799755,
            480650.51753595524,
            480946.499519318,
            481240.9984338504,
            481534.0474317202,
            481825.6781151131,
            482115.9206478482,
            482404.80385640846,
            482692.35532160767,
            482978.6014619524,
            483263.56760961545,
            483547.27807982155,
            483829.75623434316,
            484111.02453971875,
            484391.10462073144,
            484670.0173096208,
            484947.7826914466,
            485224.4201459745,
            485499.9483864115,
            485774.3854952838,
            486047.7489577173,
            486320.0556923518,
            486591.3220800985,
            486861.5639909265,
            487130.7968088448,
            487399.0354552319,
            487666.2944106483,
            487932.5877352536,
            488197.92908794107,
            488462.33174428775,
            488725.8086134136,
            488988.37225383136,
            489250.03488836205,
            489510.80841818615,
            489770.7044360925,
            490029.73423898214,
            490287.90883967944,
            490545.23897809966,
            490801.7351318156,
            491057.40752606484,
            491312.26614323433,
            491566.32073185686,
            491819.5808151513,
            492072.0556991348,
            492323.7544803356,
            492574.6860531291,
            492824.85911672225,
            493074.2821818071,
            493322.9635769025,
            493570.9114544033,
            493818.1337963536,
            495622.70068347844,
            496351.49454807147,
            496955.09847735544,
            497500.6463156996,
            498010.464821646,
            498495.25545632385,
            498961.1422426506,
            499412.0253910434,
            499850.57460594334,
            500278.7150548582,
            500697.8909235708,
            501109.21969069145,
            501513.58792634914,
            501911.71364918875,
            502304.1885092411,
            502691.50725425326,
            503074.08888007305,
            503452.2921701395,
            503826.4273459045,
            504196.7649577072,
            504563.54277682607,
            504926.9712130719,
            505287.23762687866,
            505644.50980032375,
            505998.93875976175,
            506350.6610925924,
            506699.80086502444,
            507046.4712219642,
            507390.77573132503,
            507732.80952109746,
            508072.6602470572,
            508410.4089210542,
            508746.13062375336,
            509079.8951210053,
            509411.76739936654,
            509741.8081334126,
            510070.07409521216,
            510396.61851451313,
            510721.4913967337,
            511044.7398046744,
            511366.40810890775,
            511686.53821101954,
            512005.16974323423,
            512322.3402474225,
            512638.08533605014,
            512952.43883725844,
            513265.4329259591,
            513577.0982425662,
            513887.46400077076,
            514196.558085577,
            514504.4071426618,
            514811.03665998526,
            515116.4710424631,
            515420.7336804153,
            515723.8470124173,
            516025.83258310915,
            516326.71109645115,
            516626.5024648623,
            516925.22585462563,
            517222.8997279067,
            517519.5418816904,
            517815.16948391154,
            518109.79910702456,
            518403.4467592339,
            518696.1279135823,
            518987.85753507726,
            519278.6501060161,
            519568.5196496552,
            519857.47975235694,
            520145.54358433164,
            520432.7239190855,
            520719.0331516721,
            521004.4833158374,
            521289.08610014047,
            521572.85286312544,
            521855.79464761214,
            522137.92219416855,
            522419.2459538229,
            522699.7761000672,
            522979.5225402015,
            523258.4949260629,
            523536.70266418037,
            523814.1549253935,
            524090.8606539692,
            524366.8285762495,
            524642.0672088596,
            524916.5848665036,
            525190.3896693747,
            525463.4895502009,
            525735.8922609508,
            527565.6676427366,
            528319.697879516,
            528948.5658022156,
            529519.4049916593,
            530054.5419362629,
            530564.6778210702,
            531055.9363875391,
            531532.2175597977,
            531996.1907516804,
            532449.7808362477,
            532894.4317014423,
            533331.2605250602,
            533761.1535738328,
            534184.8285607911,
            534602.876828478,
            535015.7928155991,
            535423.9952077074,
            535827.8424769733,
            536227.6445328688,
            536623.6716132858,
            537016.1611768177,
            537405.3233205653,
            537791.3450924269,
            538174.3939623045,
            538554.6206449112,
            538932.1614167003,
            539307.1400337798,
            539679.6693319408,
            540049.8525710972,
            540417.7845724772,
            540783.5526864433,
            541147.2376208851,
            541508.9141540577,
            541868.6517510405,
            542226.5150993405,
            542582.5645762815,
            542936.8566585479,
            543289.4442824359,
            543640.377161903,
            543989.7020703345,
            544337.4630909822,
            544683.7018402511,
            545028.457667365,
            545371.7678334113,
            545713.6676723231,
            546054.1907359886,
            546393.3689253731,
            546731.2326092741,
            547067.8107321159,
            547403.1309120043,
            547737.2195301005,
            548070.1018122447,
            548401.8019036392,
            548732.3429373052,
            549061.7470969404,
            549390.0356747326,
            549717.2291246187,
            550043.3471114232,
            550368.408556264,
            550692.4316785693,
            551015.4340350102,
            551337.4325556275,
            551658.4435773961,
            551978.4828754476,
            552297.5656921519,
            552615.7067642342,
            552932.9203480912,
            553249.2202434489,
            553564.619815499,
            553879.1320156292,
            554192.7694008575,
            554505.5441520711,
            554817.4680911577,
            555128.5526971117,
            555438.8091211913,
            555748.2482011938,
            556056.8804749122,
            556364.7161928322,
            556671.7653301181,
            556978.0375979407,
            557283.5424541896,
            557588.2891136108,
            557892.2865574074,
            558195.5435423391,
            558498.0686093518,
            558799.8700917677,
            559100.9561230636,
            559401.3346442607,
            559701.0134109544,
            560000.0
          ],
          "quarterly": [
            {
              "quarter": 1,
              "incremental_daily_acquisitions": 5842.733488191552,
              "end_dau": 464808.5461860576,
              "illustrative_floor": 469000.0,
              "floor_met": false
            },
            {
              "quarter": 2,
              "incremental_daily_acquisitions": 7011.280185829863,
              "end_dau": 493818.1337963536,
              "illustrative_floor": 504000.0,
              "floor_met": false
            },
            {
              "quarter": 3,
              "incremental_daily_acquisitions": 8569.34244934761,
              "end_dau": 525735.8922609508,
              "illustrative_floor": 532000.0,
              "floor_met": false
            },
            {
              "quarter": 4,
              "incremental_daily_acquisitions": 10127.404712865356,
              "end_dau": 560000.0,
              "illustrative_floor": 560000,
              "floor_met": true
            }
          ],
          "incremental_acquisitions": 2839568.4752610945,
          "acquisition_cost_cu": 4543309.560417752,
          "incremental_active_user_days": 27803407.574448887,
          "terminal_dau": 560000.0
        },
        "relative_cost_change": -0.08785441519384829,
        "relative_user_days_change": -0.1530983421786537
      }
    },
    {
      "target": 620000,
      "profile": "weaker",
      "premium": 0.15,
      "expected": {
        "even": {
          "daily_incremental_acquisitions": [
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115,
            19772.312430853115
          ],
          "dau": [
            420000,
            439772.31243085314,
            444715.3905385664,
            448210.67458846525,
            451064.5620645788,
            453536.1011184355,
            455746.7128518231,
            457764.71603892633,
            459633.02395095164,
            461380.66597590107,
            463028.35867847217,
            464591.4972257211,
            466081.89135233057,
            467508.8350903874,
            468879.79828854,
            470200.89148247754,
            471477.18876182265,
            472712.95828875096,
            473911.8308272086,
            475076.92551050824,
            476210.9454021688,
            477316.2512688626,
            478394.9193447995,
            479448.7871383657,
            480479.49017363385,
            481488.4917671855,
            482477.1073887282,
            483446.52476289903,
            484397.82058827026,
            485331.97454428294,
            486249.8811051303,
            487152.35956616513,
            488040.1626026429,
            488913.9836151176,
            489774.4630653143,
            490622.19396703603,
            491457.7266658739,
            492281.5730171594,
            493094.2100522388,
            493896.0832076324,
            494687.60917913483,
            495469.1784527593,
            496241.1575561501,
            497003.8910672945,
            497757.7034117632,
            498502.90047506796,
            499239.7710528638,
            499968.58815849153,
            500689.6102046466,
            501403.08207367494,
            502109.2360890626,
            502808.29289904237,
            503500.4622818449,
            504185.94388092123,
            504864.9278774391,
            505537.59560647357,
            506204.1201225466,
            506864.6667195154,
            507519.393409232,
            508168.4513629028,
            508811.9853186392,
            509450.1339583117,
            510083.0302564879,
            510710.8018039394,
            511333.5711079478,
            511951.45587141195,
            512564.5692525559,
            513173.0201068616,
            513776.9132126908,
            514376.3494819196,
            514971.42615678627,
            515562.23699403764,
            516148.87243736297,
            516731.4197790128,
            517309.9633114196,
            517884.5844695675,
            518455.36196479027,
            519022.37191062054,
            519585.6879412606,
            520145.38132319524,
            520701.5210604273,
            521254.1739937742,
            521803.40489463124,
            522349.2765535732,
            522891.84986413753,
            523431.183902106,
            523967.3360005758,
            524500.3618210917,
            525030.3154210879,
            525557.249317871,
            526081.2145493592,
            526602.2607317755,
            527120.4361144803,
            527635.7876321144,
            528148.3609542123,
            528658.2005324335,
            529165.3496455514,
            529669.8504423272,
            530171.7439823895,
            530671.0702752322,
            531167.8683174354,
            531662.1761282068,
            532154.0307833354,
            532643.4684476448,
            533130.5244060232,
            533615.2330931086,
            534097.6281216993,
            534577.7423099544,
            535055.6077074473,
            535531.2556201329,
            536004.7166342797,
            536476.0206394221,
            536945.1968503786,
            537412.2738283849,
            537877.2795013825,
            538340.2411835049,
            538801.1855937999,
            539260.1388742237,
            539717.1266069412,
            540172.1738309662,
            540625.3050581696,
            541076.544288687,
            541525.9150257518,
            541973.44028998,
            542419.1426331315,
            542863.0441513704,
            543305.1664980479,
            543745.5308960271,
            544184.1581495702,
            544621.0686558076,
            545056.2824158052,
            545489.8190452482,
            545921.6977847583,
            546351.9375098567,
            546780.5567405901,
            547207.5736508337,
            547633.0060772821,
            548056.871528143,
            548479.1871915447,
            548899.9699436688,
            549319.2363566194,
            549737.0027060383,
            550153.2849784775,
            550568.0988785373,
            550981.4598357789,
            551393.3830114217,
            551803.8833048313,
            552212.9753598077,
            552620.6735706811,
            553026.9920882208,
            553431.9448253666,
            553835.5454627873,
            554237.8074542733,
            554638.7440319702,
            555038.3682114561,
            555436.6927966727,
            555833.7303847118,
            556229.4933704629,
            556623.9939511295,
            557017.2441306135,
            557409.2557237786,
            557800.0403605908,
            558189.609490145,
            558577.9743845782,
            558965.1461428755,
            559351.1356945708,
            559735.9538033472,
            560119.611070538,
            560502.117938536,
            560883.4846941083,
            561263.7214716247,
            561642.8382562001,
            562020.8448867536,
            562397.7510589879,
            562773.566328291,
            563148.3001125625,
            563521.9616949676,
            563894.56022662,
            564266.104729197,
            564636.6040974883,
            565006.0671018802,
            565374.502390778,
            565741.9184929687,
            566108.3238199232,
            566473.7266680443,
            566838.1352208582,
            567201.5575511524,
            567564.0016230631,
            567925.4752941108,
            568285.9863171884,
            568645.5423425006,
            569004.1509194591,
            569361.8194985309,
            569718.5554330451,
            570074.3659809565,
            570429.2583065683,
            570783.2394822154,
            571136.3164899092,
            571488.4962229435,
            571839.7854874657,
            572190.1910040103,
            572539.7194090001,
            572888.3772562123,
            573236.1710182121,
            573583.1070877544,
            573929.1917791557,
            574274.431329634,
            574618.8319006206,
            574962.3995790433,
            575305.1403785815,
            575647.060240894,
            575988.1650368212,
            576328.460567561,
            576667.95256582,
            577006.6466969401,
            577344.5485600017,
            577681.6636889038,
            578017.997553421,
            578353.5555602394,
            578688.34305397,
            579022.365318143,
            579355.6275761796,
            579688.1349923454,
            580019.892672684,
            580350.9056659327,
            580681.178964417,
            581010.7175049311,
            581339.5261695981,
            581667.6097867129,
            581994.9731315712,
            582321.6209272791,
            582647.5578455487,
            582972.7885074776,
            583297.317484313,
            583621.1492982018,
            583944.2884229254,
            584266.7392846211,
            584588.5062624894,
            584909.5936894873,
            585230.0058530101,
            585549.7469955588,
            585868.8213153952,
            586187.2329671851,
            586504.9860626305,
            586822.0846710876,
            587138.5328201756,
            587454.3344963739,
            587769.493645607,
            588084.0141738207,
            588397.8999475464,
            588711.1547944559,
            589023.7825039057,
            589335.786827472,
            589647.1714794763,
            589957.9401375003,
            590268.096442894,
            590577.6440012722,
            590886.5863830042,
            591194.9271236946,
            591502.6697246544,
            591809.8176533659,
            592116.374343938,
            592422.3431975537,
            592727.7275829116,
            593032.5308366576,
            593336.7562638104,
            593640.4071381802,
            593943.4867027788,
            594245.9981702245,
            594547.944723139,
            594849.3295145384,
            595150.1556682166,
            595450.4262791241,
            595750.1444137385,
            596049.3131104306,
            596347.9353798232,
            596646.0142051452,
            596943.5525425784,
            597240.5533216009,
            597537.019445322,
            597832.9537908146,
            598128.3592094403,
            598423.23852717,
            598717.5945448995,
            599011.4300387598,
            599304.7477604225,
            599597.5504374005,
            599889.8407733438,
            600181.621448331,
            600472.895119156,
            600763.6644196097,
            601053.9319607586,
            601343.7003312181,
            601632.9720974215,
            601921.7498038856,
            602210.0359734718,
            602497.8331076431,
            602785.143686717,
            603071.9701701159,
            603358.3149966117,
            603644.1805845683,
            603929.5693321796,
            604214.4836177046,
            604498.9257996981,
            604782.8982172388,
            605066.403190154,
            605349.4430192399,
            605632.0199864806,
            605914.1363552613,
            606195.7943705813,
            606476.9962592614,
            606757.7442301498,
            607038.0404743241,
            607317.8871652915,
            607597.2864591846,
            607876.2404949559,
            608154.7513945685,
            608432.8212631845,
            608710.4521893507,
            608987.6462451814,
            609264.4054865394,
            609540.7319532128,
            609816.6276690918,
            610092.0946423404,
            610367.1348655679,
            610641.7503159964,
            610915.9429556269,
            611189.7147314028,
            611463.0675753714,
            611736.0034048423,
            612008.5241225454,
            612280.6316167845,
            612552.3277615907,
            612823.614416873,
            613094.493428566,
            613364.9666287778,
            613635.0358359333,
            613904.7028549175,
            614173.9694772162,
            614442.8374810546,
            614711.3086315345,
            614979.3846807694,
            615247.067368018,
            615514.3584198158,
            615781.2595501052,
            616047.7724603631,
            616313.8988397284,
            616579.6403651261,
            616844.9987013909,
            617109.975501389,
            617374.572406138,
            617638.7910449255,
            617902.6330354263,
            618166.0999838179,
            618429.1934848942,
            618691.9151221791,
            618954.2664680363,
            619216.2490837805,
            619477.8645197845,
            619739.1143155876,
            620000.0
          ],
          "quarterly": [
            {
              "quarter": 1,
              "incremental_daily_acquisitions": 19772.312430853115,
              "end_dau": 526081.2145493592,
              "illustrative_floor": 490000.0,
              "floor_met": true
            },
            {
              "quarter": 2,
              "incremental_daily_acquisitions": 19772.312430853115,
              "end_dau": 565006.0671018802,
              "illustrative_floor": 540000.0,
              "floor_met": true
            },
            {
              "quarter": 3,
              "incremental_daily_acquisitions": 19772.312430853115,
              "end_dau": 594849.3295145384,
              "illustrative_floor": 580000.0,
              "floor_met": true
            },
            {
              "quarter": 4,
              "incremental_daily_acquisitions": 19772.312430853115,
              "end_dau": 620000.0,
              "illustrative_floor": 620000,
              "floor_met": true
            }
          ],
          "incremental_acquisitions": 7118032.475107121,
          "acquisition_cost_cu": 11388851.960171394,
          "incremental_active_user_days": 49538715.81875302,
          "terminal_dau": 620000.0
        },
        "ramp": {
          "daily_incremental_acquisitions": [
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            13097.435376518462,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            15716.922451822154,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            19209.571885560414,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667,
            22702.221319298667
          ],
          "dau": [
            420000,
            433097.43537651846,
            436371.79422064807,
            438687.1155633703,
            440577.56752345193,
            442214.74694551673,
            443679.08473715704,
            445015.8361376382,
            446253.4274526027,
            447411.08812396385,
            448502.54107200704,
            449537.98425442365,
            450525.2405921472,
            451470.4665721881,
            452378.6103188633,
            453253.71953001234,
            454099.1553482004,
            454917.7450592328,
            455711.893728087,
            456483.6675089944,
            457234.856946176,
            457967.02584199613,
            458681.54952083767,
            459379.6451720114,
            460062.3961878077,
            460730.7718880483,
            461385.6436568742,
            462027.79825844045,
            462657.948911801,
            463276.74456928327,
            463884.77774215693,
            464482.5911422557,
            465070.68335139967,
            465649.51368708024,
            466219.5063994241,
            466781.0543084412,
            467334.521970166,
            467880.24844418763,
            468418.5497222369,
            468949.72086722363,
            469474.0379038295,
            469991.7594950378,
            470503.1284334987,
            471008.37297212594,
            471507.7080146116,
            472001.3361834734,
            472489.4487806868,
            472972.2266538184,
            473449.84097877843,
            473922.45396879886,
            474390.2195179602,
            474853.28378650465,
            475311.7857342442,
            475765.8576075819,
            476215.62538498186,
            476661.20918514224,
            477102.72364161577,
            477540.2782471903,
            477973.97767095943,
            478403.9220506848,
            478830.2072627625,
            479252.9251718565,
            479672.1638620395,
            480088.0078510882,
            480500.5382894097,
            480909.8331449259,
            481315.96737510734,
            481719.0130872326,
            482119.03968784306,
            482516.1140222702,
            482910.3005050297,
            483301.66124180274,
            483690.25614365854,
            484076.14303411223,
            484459.377749561,
            484840.014233591,
            485218.1046256073,
            485593.6993441981,
            485966.8471656108,
            486337.5952976864,
            486705.98944956844,
            487072.0738974785,
            487435.8915468263,
            487797.4839909002,
            488156.8915663668,
            488514.15340578754,
            488869.30748734734,
            489222.390681973,
            489573.43879800785,
            489922.48662359477,
            490269.5679669105,
            493234.20276968635,
            494232.32061114104,
            495036.76038758364,
            495754.3859748575,
            496419.54618724156,
            497048.3558746732,
            497649.8940048897,
            498229.87303744844,
            498792.1653635381,
            499339.54139905464,
            499874.0659199509,
            500397.32806989586,
            500910.5831023379,
            501414.8440153067,
            501910.94315831957,
            502399.57502544177,
            502881.326813007,
            503356.7007640628,
            503826.13084692456,
            504289.9954311762,
            504748.6270765045,
            505202.3202000597,
            505651.3371590356,
            506095.9131317198,
            506536.26007531176,
            506972.56996568246,
            507405.0174724325,
            507833.76218532975,
            508258.9504810058,
            508680.71709869505,
            509099.1864787642,
            509514.47390642297,
            509926.68649432325,
            510335.9240310677,
            510742.27971744305,
            511145.8408081161,
            511546.6891733034,
            511944.9017923635,
            512340.5511892012,
            512733.70581771724,
            513124.4304041922,
            513512.78625239234,
            513898.83151628973,
            514282.6214445413,
            514664.2086002604,
            515043.6430590991,
            515420.97258823394,
            515796.2428084854,
            516169.49734150077,
            516540.7779436721,
            516910.1246282434,
            517277.57577687583,
            517643.1682417801,
            518006.93743939,
            518368.9174364329,
            518729.1410291517,
            519087.63981634646,
            519444.44426682626,
            519799.5837817959,
            520153.08675264596,
            520504.980614561,
            520855.2918963204,
            521204.04626662354,
            521551.26857723924,
            521896.9829032484,
            522241.2125806215,
            522583.98024134943,
            522925.30784632557,
            523265.2167161562,
            523603.7275600629,
            523940.8605030216,
            524276.6351112748,
            524611.0704163347,
            524944.1849375919,
            525275.9967036283,
            525606.5232723277,
            525935.7817498681,
            526263.7888086748,
            526590.5607044034,
            526916.1132920206,
            527240.4620410396,
            527563.6220499697,
            527885.6080600274,
            528206.4344681583,
            528526.1153394135,
            528844.6644187183,
            529162.0951420744,
            529478.4206472259,
            529793.6537838252,
            530107.8071231248,
            533913.5424009643,
            535098.73515008,
            536027.1409019569,
            536841.2160343288,
            537586.7310157061,
            538285.1451693162,
            538948.5374184867,
            539584.498755998,
            540198.1674692044,
            540793.213237478,
            541372.3655539138,
            541937.7203779428,
            542490.929101584,
            543033.3207070515,
            543565.9838881531,
            544089.8240874892,
            544605.6042207503,
            545113.9744508144,
            545615.494408117,
            546110.6500750342,
            546599.8668214246,
            547083.5196122185,
            547561.9411026093,
            548035.4281318174,
            548504.24698646,
            548968.6377070642,
            549428.8176421701,
            549884.9844047767,
            550337.3183496101,
            550785.9846629032,
            551231.1351363322,
            551672.9096816069,
            552111.4376306413,
            552546.8388573136,
            552979.2247498868,
            553408.6990577215,
            553835.3586316174,
            554259.2940736972,
            554680.5903100077,
            555099.327096802,
            555515.5794696743,
            555929.4181432548,
            556340.9098679746,
            556750.117749417,
            557157.1015349567,
            557561.9178717015,
            557964.6205391829,
            558365.2606597634,
            558763.8868893223,
            559160.5455904431,
            559555.2809900317,
            559948.1353230526,
            560339.1489638527,
            560728.3605463657,
            561115.8070743327,
            561501.5240225381,
            561885.5454299462,
            562267.9039855201,
            562648.6311074195,
            563027.757016193,
            563405.3108025177,
            563781.320489977,
            564155.813093318,
            564528.8146725809,
            564900.350383458,
            565270.4445241985,
            565639.1205793488,
            566006.4012605859,
            566372.3085448798,
            566736.8637101977,
            567100.0873689414,
            567461.9994992941,
            567822.6194746364,
            568181.9660911742,
            568540.0575939136,
            568896.911701103,
            569252.5456272496,
            569606.9761048184,
            569960.2194046981,
            570312.2913555262,
            570663.207361947,
            571012.9824218764,
            571361.6311428391,
            571709.1677574392,
            572055.6061380216,
            572400.9598105738,
            572745.2419679195,
            573088.4654822452,
            573430.6429170032,
            573771.7865382297,
            577604.5577590482,
            578816.8317734008,
            579772.3637592273,
            580613.609727208,
            581386.3397664537,
            582112.0128095339,
            582802.7073788776,
            583466.0140570791,
            584107.070712911,
            584729.5465996021,
            585336.1707773248,
            585929.0387665406,
            586509.8015149352,
            587079.7875556685,
            587640.0851293728,
            588191.5992219133,
            588735.0922892122,
            589271.2140318372,
            589800.5236158322,
            590323.5065575315,
            590840.5877595039,
            591352.1417185176,
            591858.5006210853,
            592359.9608375547,
            592856.7881857876,
            593349.222237957,
            593837.4798749196,
            594321.7582429101,
            594802.2372310421,
            595279.0815613039,
            595752.4425626969,
            596222.4596860121,
            596689.2618041761,
            597152.9683341717,
            597613.6902096084,
            598071.5307275738,
            598526.5862891034,
            598978.9470491831,
            599428.6974894592,
            599875.9169246213,
            600320.6799516293,
            600763.056849493,
            601203.1139361141,
            601640.913887709,
            602076.5160255108,
            602509.9765737699,
            602941.3488924974,
            603370.6836879179,
            603798.0292031992,
            604223.4313916756,
            604646.9340745,
            605068.5790844077,
            605488.4063970654,
            605906.4542512969,
            606322.7592593209,
            606737.3565080009,
            607150.2796519932,
            607561.5609995746,
            607971.2315918452,
            608379.3212759234,
            608785.8587726874,
            609190.87173955,
            609594.3868287138,
            609996.4297412937,
            610397.0252776693,
            610796.1973843804,
            611193.9691978563,
            611590.3630852369,
            611985.4006825222,
            612379.1029302608,
            612771.4901069712,
            613162.5818604724,
            613552.3972372796,
            613940.9547102147,
            614328.2722043609,
            614714.3671214816,
            615099.2563630188,
            615482.9563517658,
            615865.4830523131,
            616246.8519903477,
            616627.0782708882,
            617006.176595524,
            617384.1612787275,
            617761.0462632994,
            618136.8451350038,
            618511.5711364439,
            618885.2371802288,
            619257.8558614731,
            619629.439469674,
            620000.0
          ],
          "quarterly": [
            {
              "quarter": 1,
              "incremental_daily_acquisitions": 13097.435376518462,
              "end_dau": 490269.5679669105,
              "illustrative_floor": 490000.0,
              "floor_met": true
            },
            {
              "quarter": 2,
              "incremental_daily_acquisitions": 15716.922451822154,
              "end_dau": 530107.8071231248,
              "illustrative_floor": 540000.0,
              "floor_met": false
            },
            {
              "quarter": 3,
              "incremental_daily_acquisitions": 19209.571885560414,
              "end_dau": 573771.7865382297,
              "illustrative_floor": 580000.0,
              "floor_met": false
            },
            {
              "quarter": 4,
              "incremental_daily_acquisitions": 22702.221319298667,
              "end_dau": 620000.0,
              "illustrative_floor": 620000,
              "floor_met": true
            }
          ],
          "incremental_acquisitions": 6365353.592987972,
          "acquisition_cost_cu": 11712250.611097869,
          "incremental_active_user_days": 41542732.96342928,
          "terminal_dau": 620000.0
        },
        "relative_cost_change": 0.028396071180611493,
        "relative_user_days_change": -0.16140876329088927
      }
    },
    {
      "target": 480000,
      "profile": "stronger",
      "premium": 0.1,
      "expected": {
        "even": {
          "daily_incremental_acquisitions": [
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428,
            2343.574612646428
          ],
          "dau": [
            420000,
            422343.5746126464,
            423210.6972193256,
            423886.3284406729,
            424470.1993762716,
            424996.62729285815,
            425482.4203540285,
            425937.3519061403,
            426367.72510128847,
            426777.8990876372,
            427171.0444938473,
            427549.5572401561,
            427915.30286710325,
            428269.76941867865,
            428614.1676417162,
            428949.49919141096,
            429276.6045476179,
            429596.197589279,
            429908.89112061897,
            430215.2160957941,
            430515.63635222294,
            430810.5600770968,
            431100.34885456867,
            431385.3248922516,
            431665.77685763757,
            431941.96463929955,
            432214.12326653814,
            432482.4661632269,
            432747.18786968704,
            433008.4663356519,
            433266.46486451954,
            433521.33377189323,
            433773.2118083457,
            434022.22738631396,
            434268.4996432611,
            434512.1393671701,
            434753.2498056552,
            434991.92737617705,
            435228.2622918197,
            435462.33911464154,
            435694.237246641,
            435924.0313667643,
            436151.7918210671,
            436377.58497205627,
            436601.4735123377,
            436823.5167469522,
            437043.7708481563,
            437262.2890858813,
            437479.122036664,
            437694.31777347,
            437907.92203851324,
            438119.9784009065,
            438330.5284007483,
            438539.6116810517,
            438747.2661087538,
            438953.52788589476,
            439158.4316519317,
            439362.01057803957,
            439564.2964541576,
            439765.3197694559,
            439965.1097868215,
            440163.69461190386,
            440361.1012571976,
            440557.3557015958,
            440752.4829458,
            440946.50706393656,
            441139.45125169307,
            441331.3378712593,
            441522.1884933293,
            441712.0239363975,
            441900.8643035602,
            442088.7290170142,
            442275.6368504267,
            442461.60595933674,
            442646.65390973276,
            442830.7977049385,
            443014.05381092976,
            443196.438180192,
            443377.96627422195,
            443558.65308476536,
            443738.5131538789,
            443917.56059289316,
            444095.8091003517,
            444273.27197899186,
            444449.96215183043,
            444625.8921774112,
            444801.0742642669,
            444975.520284646,
            445149.2417875485,
            445322.2500111134,
            445494.5558943973,
            445666.1700885806,
            445837.102967634,
            446007.36463847914,
            446176.9649506697,
            446345.91350562277,
            446514.21966542536,
            446681.89256123855,
            446848.9411013237,
            447015.3739787098,
            447181.1996785221,
            447346.42648499063,
            447511.06248815433,
            447675.1155902786,
            447838.59351199976,
            448001.5037982114,
            448163.8538237055,
            448325.65079858067,
            448486.90177342936,
            448647.61364431545,
            448807.79315755144,
            448967.44691428647,
            449126.5813749129,
            449285.20286330144,
            449443.3175708721,
            449600.9315605089,
            449758.05077032617,
            449914.6810172925,
            450070.82800071925,
            450226.4973056203,
            450381.6944059477,
            450536.42466771,
            450690.6933519774,
            450844.50561777985,
            450997.8665249017,
            451150.7810365777,
            451303.2540220953,
            451455.29025930597,
            451606.8944370508,
            451758.0711575027,
            451908.8249384294,
            452059.16021538066,
            452209.081343802,
            452358.5926010788,
            452507.69818851317,
            452656.40223323624,
            452804.7087900587,
            452952.6218432616,
            453100.14530833036,
            453247.28303363366,
            453394.0388020496,
            453540.416332541,
            453686.4192816821,
            453832.05124513817,
            453977.3157590997,
            454122.21630167344,
            454266.7562942313,
            454410.9391027186,
            454554.7680389244,
            454698.246361713,
            454841.3772782204,
            454984.1639450152,
            455126.6094692268,
            455268.71690963965,
            455410.4892777581,
            455551.92953883944,
            455693.040612899,
            455833.8253756863,
            455974.2866596343,
            456114.4272547829,
            456254.2499096759,
            456393.75733223476,
            456532.9521906078,
            456671.83711399685,
            456810.41469346156,
            456948.68748270255,
            457086.6579988235,
            457224.3287230735,
            457361.70210156945,
            457498.7805460007,
            457635.56643431424,
            457772.06211138325,
            457908.26988965785,
            458044.1920498,
            458179.83084130194,
            458315.188483089,
            458450.26716410776,
            458585.0690438995,
            458719.59625315916,
            458853.8508942811,
            458987.8350418911,
            459121.5507433656,
            459255.00001933874,
            459388.1848641966,
            459521.1072465601,
            459653.76910975645,
            459786.1723722791,
            459918.3189282373,
            460050.210647795,
            460181.8493775993,
            460313.2369411996,
            460444.3751394564,
            460575.2657509415,
            460705.91053232824,
            460836.3112187738,
            460966.4695242921,
            461096.3871421191,
            461226.06574506935,
            461355.50698588474,
            461484.7124975759,
            461613.683893756,
            461742.42276896664,
            461870.93069899786,
            461999.2092411999,
            462127.25993478927,
            462255.0843011479,
            462382.68384411576,
            462510.0600502774,
            462637.21438924264,
            462764.1483139211,
            462890.8632607912,
            463017.36065016314,
            463143.6418864373,
            463269.7083583562,
            463395.56143925234,
            463521.20248729014,
            463646.63284570375,
            463771.8538430291,
            463896.8667933325,
            464021.6729964333,
            464146.2737381232,
            464270.67029038083,
            464394.8639115819,
            464518.85584670544,
            464642.6473275358,
            464766.2395728612,
            464889.63378866774,
            465012.8311683301,
            465135.8328927987,
            465258.6401307827,
            465381.25403893006,
            465503.67576200387,
            465625.9064330558,
            465747.9471735954,
            465869.7990937573,
            465991.46329246426,
            466112.9408575882,
            466234.2328661075,
            466355.34038426145,
            466476.2644677026,
            466597.00616164523,
            466717.56650101196,
            466837.94651057746,
            466958.1472051095,
            467078.1695895073,
            467198.01465893793,
            467317.68339896976,
            467437.1767857037,
            467556.4957859023,
            467675.64135711634,
            467794.6144478093,
            467913.41599747963,
            468032.0469367811,
            468150.5081876405,
            468268.80066337413,
            468386.92526880145,
            468504.8829003575,
            468622.6744462028,
            468740.30078633205,
            468857.76279268006,
            468975.06132922694,
            469092.1972521008,
            469209.171409679,
            469325.9846426876,
            469442.6377842994,
            469559.13166023,
            469675.4670888325,
            469791.64488119085,
            469907.66584121104,
            470023.5307657115,
            470139.2404445117,
            470254.79566051916,
            470370.19718981546,
            470485.4458017406,
            470600.542258976,
            470715.48731762636,
            470830.2817273,
            470944.92623118823,
            471059.4215661428,
            471173.7684627534,
            471287.96764542226,
            471402.0198324394,
            471515.9257360549,
            471629.6860625516,
            471743.30151231587,
            471856.7727799073,
            471970.1005541274,
            472083.28551808785,
            472196.32834927656,
            472309.2297196236,
            472421.99029556604,
            472534.6107381114,
            472647.09170290077,
            472759.4338402701,
            472871.6377953115,
            472983.70420793333,
            473095.63371291885,
            473207.4269399848,
            473319.08451383875,
            473430.60705423565,
            473541.99517603335,
            473653.24948924774,
            473764.3705991067,
            473875.3591061035,
            473986.2156060494,
            474096.94069012534,
            474207.5349449331,
            474317.9989525455,
            474428.3332905564,
            474538.5385321289,
            474648.61524604436,
            474758.56399674946,
            474868.3853444031,
            474978.0798449228,
            475087.64805003034,
            475197.09050729626,
            475306.40776018484,
            475415.6003480971,
            475524.6688064145,
            475633.61366654123,
            475742.435455946,
            475851.1346982036,
            475959.7119130356,
            476068.16761635075,
            476176.50232028443,
            476284.71653323807,
            476392.81075991754,
            476500.78550137155,
            476608.64125502907,
            476716.3785147365,
            476823.9977707943,
            476931.4995099933,
            477038.8842156498,
            477146.15236764157,
            477253.3044424419,
            477360.34091315424,
            477467.262249546,
            477574.0689180818,
            477680.7613819565,
            477787.34010112786,
            477893.8055323484,
            478000.1581291973,
            478106.39834211173,
            478212.5266184176,
            478318.54340236005,
            478424.44913513376,
            478530.2442549126,
            478635.9291968788,
            478741.5043932523,
            478846.97027331917,
            478952.32726345974,
            479057.57578717684,
            479162.71626512316,
            479267.74911512854,
            479372.67475222686,
            479477.49358868256,
            479582.206034017,
            479686.8124950343,
            479791.3133758467,
            479895.7090779004,
            480000.0
          ],
          "quarterly": [
            {
              "quarter": 1,
              "incremental_daily_acquisitions": 2343.574612646428,
              "end_dau": 445494.5558943973,
              "illustrative_floor": 441000.0,
              "floor_met": true
            },
            {
              "quarter": 2,
              "incremental_daily_acquisitions": 2343.574612646428,
              "end_dau": 458987.8350418911,
              "illustrative_floor": 456000.0,
              "floor_met": true
            },
            {
              "quarter": 3,
              "incremental_daily_acquisitions": 2343.574612646428,
              "end_dau": 470139.2404445117,
              "illustrative_floor": 468000.0,
              "floor_met": true
            },
            {
              "quarter": 4,
              "incremental_daily_acquisitions": 2343.574612646428,
              "end_dau": 480000.0,
              "illustrative_floor": 480000,
              "floor_met": true
            }
          ],
          "incremental_acquisitions": 843686.8605527142,
          "acquisition_cost_cu": 1349898.9768843427,
          "incremental_active_user_days": 13385611.447287545,
          "terminal_dau": 480000.0
        },
        "ramp": {
          "daily_incremental_acquisitions": [
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1612.1233065844049,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            1934.547967901286,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2364.4475163237944,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023,
            2794.3470647463023
          ],
          "dau": [
            420000,
            421612.1233065844,
            422208.60893002065,
            422673.36940007884,
            423075.0088180161,
            423437.1337143119,
            423771.3062692899,
            424084.24947754206,
            424380.2992191136,
            424662.4541117205,
            424932.8952015018,
            425193.27061983536,
            425444.86365480896,
            425688.6979181244,
            425925.6062713336,
            426156.2777437838,
            426381.29049379576,
            426601.13559209293,
            426816.2345810353,
            427026.9526990777,
            427233.60901569144,
            427436.4843190713,
            427635.82733961265,
            427831.85972095333,
            428024.780034792,
            428214.76705607504,
            428401.982459285,
            428586.5730567313,
            428768.672670902,
            428948.40371177334,
            429125.8785142429,
            429301.2004790242,
            429474.4650513534,
            429645.76056495856,
            429815.16897339886,
            429982.76648670353,
            430148.6241279517,
            430312.808221823,
            430475.3808250639,
            430636.40010713245,
            430795.92068792915,
            430953.99393841054,
            431110.66824897804,
            431265.9892697864,
            431420.0001264995,
            431572.7416145067,
            431724.25237418374,
            431874.5690494239,
            432023.72643135913,
            432171.75758893805,
            432318.69398780656,
            432464.5655987546,
            432609.4009968318,
            432753.22745210043,
            432896.0710128761,
            433037.95658220776,
            433178.9079882575,
            433318.94804916997,
            433458.0986329504,
            433596.3807128169,
            433733.8144184391,
            433870.41908343317,
            434006.21328944457,
            434141.21490711346,
            434275.4411341914,
            434408.9085310473,
            434541.6330537801,
            434673.6300851335,
            434804.9144633883,
            434935.50050939457,
            435065.4020518862,
            435194.6324512128,
            435323.20462160645,
            435451.1310520946,
            435578.4238261584,
            435705.09464022686,
            435831.1548210925,
            435956.6153423227,
            436081.4868397379,
            436205.77962602157,
            436329.5037045199,
            436452.6687822868,
            436575.28428242373,
            436697.3593557606,
            436818.90289192135,
            436939.9235298119,
            437060.4296675693,
            437180.4294720033,
            437299.9308875643,
            437418.9416448641,
            437537.46926877875,
            437977.94574747345,
            438214.82601916045,
            438424.8995422515,
            438621.893912415,
            438810.537040473,
            438993.1478025832,
            439171.07707890525,
            439345.19817335886,
            439516.11678934144,
            439684.27497292013,
            439850.0080490156,
            440013.57824030844,
            440175.1957050343,
            440335.03232645796,
            440493.2311005114,
            440649.9127319099,
            440805.18039455835,
            440959.12324696616,
            441111.8190805628,
            441263.3363499686,
            441413.7357536919,
            441563.071481856,
            441711.3922133206,
            441858.74192144605,
            442005.16053182347,
            442150.6844641233,
            442295.3470822463,
            442439.17907119385,
            442582.20875484037,
            442724.4623656465,
            442865.9642749826,
            443006.7371909374,
            443146.8023291056,
            443286.17956077785,
            443424.88754212327,
            443562.94382729544,
            443700.36496787035,
            443837.1666006075,
            443973.36352519086,
            444108.9697733311,
            444243.99867039314,
            444378.46289052797,
            444512.37450614054,
            444645.74503240036,
            444778.5854674007,
            444910.90632848354,
            445042.7176851775,
            445174.0291891353,
            445304.85010140383,
            445435.18931731913,
            445565.05538927944,
            445694.45654761815,
            445823.4007197727,
            445951.8955479189,
            446079.9484052241,
            446207.5664108506,
            446334.75644383027,
            446461.5251559131,
            446587.8789834853,
            446713.82415864005,
            446839.36671947496,
            446964.5125196846,
            447089.2672375067,
            447213.63638407737,
            447337.62531124364,
            447461.2392188768,
            447584.483161727,
            447707.362055855,
            447829.8806846733,
            447952.0437046267,
            448073.8556505391,
            448195.3209406516,
            448316.44388137327,
            448437.2286717663,
            448557.6794077836,
            448677.80008627597,
            448797.59460878506,
            448917.06678513647,
            449036.22033684544,
            449155.0589003491,
            449273.5860300747,
            449391.80520135566,
            449509.71981320425,
            449627.33319095004,
            449744.64858875255,
            449861.66919199534,
            449978.3981195687,
            450094.8384260482,
            450210.9931037738,
            450326.8650848365,
            450872.3567913999,
            451146.7347767426,
            451385.7118112145,
            451607.5850310972,
            451818.6521689271,
            452021.99908052303,
            452219.4211236315,
            452412.0770449816,
            452600.7689422268,
            452786.08084944135,
            452968.45464685035,
            453148.2348810863,
            453325.69681084796,
            453501.0647883387,
            453674.5247717847,
            453846.2331161097,
            454016.3229161722,
            454184.9086901817,
            454352.08990714006,
            454517.9536903743,
            454682.5769217809,
            454846.0279022453,
            455008.367678051,
            455169.65111226786,
            455329.92775887984,
            455489.24258251465,
            455647.6365560171,
            455805.14716041565,
            455961.8088061896,
            456117.6531905482,
            456272.70960227866,
            456427.00518332643,
            456580.5651544252,
            456733.4130106759,
            456885.5706918546,
            457037.0587313546,
            457187.89638697304,
            457338.1017561916,
            457487.69187815796,
            457636.68282420933,
            457785.0897784845,
            457932.9271099296,
            458080.2084368036,
            458226.94668462407,
            458373.1541383575,
            458518.84248954436,
            458664.02287895087,
            458808.7059352623,
            458952.90181026066,
            459096.62021087366,
            459239.87042843195,
            459382.6613654292,
            459525.00156004296,
            459666.8992086448,
            459808.362186498,
            459949.3980668222,
            460090.0141383799,
            460230.2174217252,
            460370.0146842384,
            460509.4124540564,
            460648.41703299887,
            460787.0345085774,
            460925.27076516714,
            461063.1314944134,
            461200.6222049354,
            461337.74823138653,
            461474.5147429228,
            461610.92675112706,
            461746.98911743145,
            461882.70656007726,
            462018.0836606475,
            462153.1248702043,
            462287.8345150608,
            462422.2168022136,
            462556.2758244607,
            462690.01556522807,
            462823.43990312336,
            462956.55261623784,
            463089.35738621204,
            463221.85780208244,
            463354.0573639227,
            463485.95948629343,
            463617.56750151294,
            463748.8846627603,
            463879.9141470216,
            464010.6590578889,
            464141.1224282208,
            464271.30722267414,
            464401.21634011285,
            464530.85261590325,
            465090.1183725233,
            465378.28006087424,
            465631.0503464894,
            465866.72625862935,
            466091.6054208256,
            466308.77357811405,
            466520.02597587265,
            466726.5212470569,
            466929.06137430965,
            467128.23027561535,
            467324.46971417754,
            467518.1241188126,
            467709.46862973855,
            467898.72748013254,
            468086.08650876256,
            468271.7019507671,
            468455.70678099047,
            468638.21539749095,
            468819.32714906783,
            468999.1290388742,
            469177.6978287356,
            469355.10169963946,
            469531.4015782088,
            469706.65220815083,
            469880.9030244409,
            470054.19887310464,
            470226.58060883934,
            470398.0855950263,
            470568.74812503933,
            470738.5997795624,
            470907.6697314744,
            471075.9850074617,
            471243.5707136791,
            471410.45023135695,
            471576.6453871351,
            471742.1766020289,
            471907.063022237,
            472071.32263444265,
            472234.9723678131,
            472398.02818453964,
            472560.50516046426,
            472722.4175570995,
            472883.77888614533,
            473044.6019674462,
            473204.8989811908,
            473364.6815150451,
            473523.960606812,
            473682.7467831305,
            473841.0500946591,
            473998.88014812884,
            474156.24613560445,
            474313.156861247,
            474469.62076583685,
            474625.64594928536,
            474781.2401913331,
            474936.41097061464,
            475091.16548224475,
            475245.51065406593,
            475399.4531616814,
            475552.99944238405,
            475706.15570807963,
            475858.9279572932,
            476011.321986338,
            476163.3433997179,
            476314.99761982734,
            476466.28989600786,
            476617.2253130117,
            476767.8087989211,
            476918.04513256624,
            477067.93895047926,
            477217.4947534219,
            477366.7169125171,
            477515.6096750148,
            477664.1771697187,
            477812.4234120984,
            477960.35230910854,
            478107.9676637375,
            478255.27317930176,
            478402.2724635057,
            478548.9690322809,
            478695.3663134211,
            478841.46765002474,
            478987.27630375896,
            479132.79545795574,
            479278.028220551,
            479422.97762687615,
            479567.6466423124,
            479712.03816481435,
            479856.1550273123,
            480000.0
          ],
          "quarterly": [
            {
              "quarter": 1,
              "incremental_daily_acquisitions": 1612.1233065844049,
              "end_dau": 437537.46926877875,
              "illustrative_floor": 441000.0,
              "floor_met": false
            },
            {
              "quarter": 2,
              "incremental_daily_acquisitions": 1934.547967901286,
              "end_dau": 450326.8650848365,
              "illustrative_floor": 456000.0,
              "floor_met": false
            },
            {
              "quarter": 3,
              "incremental_daily_acquisitions": 2364.4475163237944,
              "end_dau": 464530.85261590325,
              "illustrative_floor": 468000.0,
              "floor_met": false
            },
            {
              "quarter": 4,
              "incremental_daily_acquisitions": 2794.3470647463023,
              "end_dau": 480000.0,
              "illustrative_floor": 480000,
              "floor_met": true
            }
          ],
          "incremental_acquisitions": 783491.9270000209,
          "acquisition_cost_cu": 1378945.791520037,
          "incremental_active_user_days": 11437632.70267498,
          "terminal_dau": 480000.0
        },
        "relative_cost_change": 0.02151776920576398,
        "relative_user_days_change": -0.14552781188096586
      }
    }
  ]
}
