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{"sheet":"OVERVIEW","index":1,"n_rows":48,"n_cols":26,"rows_kept":48,"cut":false,"hidden":false,"merged":[]}
["Journal of Roman Studies 109 (2019): The Army and the Spread of Roman Citizenship By Myles Lavan"]
["SUPPLEMENTARY MATERIAL: ONLINE APPENDIX 2: A MATHEMATICAL MODEL OF ENFRANCISEMENT IMPLEMENTED IN MS EXCEL"]
[]
[]
[null,null,"You will be asked to specify a number of iterations. Excel will be suspended until the macro finishes."]
[null,null,"To interrupt the macro at any time, press ESCAPE  and select 'end' "]
[null,null,"(this may not work on a Mac, in which case you would need to terminate Excel manually to interrupt)"]
[null,null,"Inputs can be adjusted in the YELLOW cells in the INPUTS sheet"]
[null,null,"Futher information about the model is provided in Supplementary Appendix 2a"]
[]
[]
[]
[null,"TOTAL NEW CITIZENS 15-212",null,{"$f":"X45","v":869510.47921221273},{"$f":"Y45","v":1199937.956913077},{"$f":"Z45","v":1640352.4208557641},null,null,"N=",{"$f":"'Monte Carlo analysis'!B2","v":1000},null,"iterations"]
[null,"'000s"]
[]
[null,"SNAPSHOTS"]
[null,"'000s",null,null,15,null,null,null,50,null,null,null,100,null,null,null,139,null,null,null,212]
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[null,null,"Soldiers surviving to grant",{"$f":"'Monte Carlo analysis'!K162","v":0},{"$f":"'Monte Carlo analysis'!H162","v":0},{"$f":"'Monte Carlo analysis'!Q162","v":0},null,{"$f":"'Monte Carlo analysis'!K163","v":0},{"$f":"'Monte Carlo analysis'!H163","v":0},{"$f":"'Monte Carlo analysis'!Q163","v":0},null,{"$f":"'Monte Carlo analysis'!K164","v":0},{"$f":"'Monte Carlo analysis'!H164","v":0},{"$f":"'Monte Carlo analysis'!Q164","v":0},null,{"$f":"'Monte Carlo analysis'!K165","v":0},{"$f":"'Monte Carlo analysis'!H165","v":0},{"$f":"'Monte Carlo analysis'!Q165","v":0},null,{"$f":"'Monte Carlo analysis'!K166","v":0},{"$f":"'Monte Carlo analysis'!H166","v":0},{"$f":"'Monte Carlo analysis'!Q166","v":0}]
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[null,null,"Of whom peregrines",{"$f":"'Monte Carlo analysis'!K118","v":116.37008114937444},{"$f":"'Monte Carlo analysis'!H118","v":872.21093507204409},{"$f":"'Monte Carlo analysis'!Q118","v":1622.502738933013},null,{"$f":"'Monte Carlo analysis'!K119","v":115.25336524049908},{"$f":"'Monte Carlo analysis'!H119","v":858.57914063655937},{"$f":"'Monte Carlo analysis'!Q119","v":1652.2769866594424},null,{"$f":"'Monte Carlo analysis'!K120","v":95.002549032124932},{"$f":"'Monte Carlo analysis'!H120","v":733.43863717678175},{"$f":"'Monte Carlo analysis'!Q120","v":1540.9837171421498},null,{"$f":"'Monte Carlo analysis'!K121","v":78.368816268113846},{"$f":"'Monte Carlo analysis'!H121","v":616.87850970115767},{"$f":"'Monte Carlo analysis'!Q121","v":1419.9743457233837},null,{"$f":"'Monte Carlo analysis'!K122","v":17.6673250491136},{"$f":"'Monte Carlo analysis'!H122","v":533.41442517585801},{"$f":"'Monte Carlo analysis'!Q122","v":1624.6195933215897}]
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[]
[null,"TOTALS"]
[null,"Total new citizens by period and formation"]
[null,"'000s"]
[null,null,null,"15-47",null,null,null,"48-100",null,null,null,"100-140",null,null,null,"141-212",null,null,null,"48-212",null,null,null,"15-212"]
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[null,"Fleets","Soldiers",{"$f":"'Monte Carlo analysis'!K33","v":2220.152077359669},{"$f":"'Monte Carlo analysis'!H33","v":10600.279790607843},{"$f":"'Monte Carlo analysis'!Q33","v":23609.935765520477},null,{"$f":"'Monte Carlo analysis'!K34","v":20010.312826015888},{"$f":"'Monte Carlo analysis'!H34","v":34607.488387195415},{"$f":"'Monte Carlo analysis'!Q34","v":53588.312671381143},null,{"$f":"'Monte Carlo analysis'!K35","v":15102.122887559151},{"$f":"'Monte Carlo analysis'!H35","v":26118.859160147476},{"$f":"'Monte Carlo analysis'!Q35","v":40444.009563306528},null,{"$f":"'Monte Carlo analysis'!K36","v":27183.821197606518},{"$f":"'Monte Carlo analysis'!H36","v":47013.946488265537},{"$f":"'Monte Carlo analysis'!Q36","v":72799.217213951735},null,{"$f":"'Monte Carlo analysis'!K37","v":62296.256911181699},{"$f":"'Monte Carlo analysis'!H37","v":107740.29403560846},{"$f":"'Monte Carlo analysis'!Q37","v":166831.53944863984},null,{"$f":"'Monte Carlo analysis'!K38","v":69067.439726212411},{"$f":"'Monte Carlo analysis'!H38","v":118340.57382621645},{"$f":"'Monte Carlo analysis'!Q38","v":186184.90249083433}]
[null,null,"Children",{"$f":"'Monte Carlo analysis'!K39","v":443.46357471301076},{"$f":"'Monte Carlo analysis'!H39","v":2810.7417028755544},{"$f":"'Monte Carlo analysis'!Q39","v":7885.2009581692837},null,{"$f":"'Monte Carlo analysis'!K40","v":3114.8422611045762},{"$f":"'Monte Carlo analysis'!H40","v":9545.598187606638},{"$f":"'Monte Carlo analysis'!Q40","v":19352.721014676488},null,{"$f":"'Monte Carlo analysis'!K41","v":18023.921606845142},{"$f":"'Monte Carlo analysis'!H41","v":32403.228637192446},{"$f":"'Monte Carlo analysis'!Q41","v":52654.003099685608},null,{"$f":"'Monte Carlo analysis'!K42","v":12873.05055703272},{"$f":"'Monte Carlo analysis'!H42","v":25885.042794070567},{"$f":"'Monte Carlo analysis'!Q42","v":45304.310844419975},null,{"$f":"'Monte Carlo analysis'!K43","v":35647.777054181599},{"$f":"'Monte Carlo analysis'!H43","v":67833.869618869561},{"$f":"'Monte Carlo analysis'!Q43","v":113706.11799114205},null,{"$f":"'Monte Carlo analysis'!K44","v":36512.371068619803},{"$f":"'Monte Carlo analysis'!H44","v":70644.611321745106},{"$f":"'Monte Carlo analysis'!Q44","v":121333.63770951811}]
[null,null,"Total",{"$f":"'Monte Carlo analysis'!K45","v":2809.0101252175505},{"$f":"'Monte Carlo analysis'!H45","v":13411.021493483382},{"$f":"'Monte Carlo analysis'!Q45","v":30623.709859594768},null,{"$f":"'Monte Carlo analysis'!K46","v":25635.67590214841},{"$f":"'Monte Carlo analysis'!H46","v":44153.086574802102},{"$f":"'Monte Carlo analysis'!Q46","v":69527.901382566168},null,{"$f":"'Monte Carlo analysis'!K47","v":33957.964938274657},{"$f":"'Monte Carlo analysis'!H47","v":58522.08779733986},{"$f":"'Monte Carlo analysis'!Q47","v":92112.921759464021},null,{"$f":"'Monte Carlo analysis'!K48","v":42345.198565035476},{"$f":"'Monte Carlo analysis'!H48","v":72898.989282335984},{"$f":"'Monte Carlo analysis'!Q48","v":114043.53787113988},null,{"$f":"'Monte Carlo analysis'!K49","v":102394.89905762851},{"$f":"'Monte Carlo analysis'!H49","v":175574.16365447859},{"$f":"'Monte Carlo analysis'!Q49","v":274330.65479793696},null,{"$f":"'Monte Carlo analysis'!K50","v":110096.9632382767},{"$f":"'Monte Carlo analysis'!H50","v":188985.18514796143},{"$f":"'Monte Carlo analysis'!Q50","v":300519.28970201343}]
[null,"Legions","Total new citizens",{"$f":"'Monte Carlo analysis'!K57","v":3956.3519958917495},{"$f":"'Monte Carlo analysis'!H57","v":30299.434398935311},{"$f":"'Monte Carlo analysis'!Q57","v":59071.293528349481},null,{"$f":"'Monte Carlo analysis'!K58","v":6586.6039568550214},{"$f":"'Monte Carlo analysis'!H58","v":49278.491317834916},{"$f":"'Monte Carlo analysis'!Q58","v":100285.1429342897},null,{"$f":"'Monte Carlo analysis'!K59","v":4076.2607404813521},{"$f":"'Monte Carlo analysis'!H59","v":35559.83668925408},{"$f":"'Monte Carlo analysis'!Q59","v":105287.37075547191},null,{"$f":"'Monte Carlo analysis'!K60","v":4883.671987663497},{"$f":"'Monte Carlo analysis'!H60","v":54110.235970281297},{"$f":"'Monte Carlo analysis'!Q60","v":176536.00792968043},null,{"$f":"'Monte Carlo analysis'!K61","v":16776.372733617176},{"$f":"'Monte Carlo analysis'!H61","v":138948.56397737013},{"$f":"'Monte Carlo analysis'!Q61","v":372894.58980397432},null,{"$f":"'Monte Carlo analysis'!K62","v":20931.240231559506},{"$f":"'Monte Carlo analysis'!H62","v":169247.99837630539},{"$f":"'Monte Carlo analysis'!Q62","v":429614.3518758174}]
[null,"TOTAL","New citizens",{"$f":"'Monte Carlo analysis'!K4","v":32445.106755066521},{"$f":"'Monte Carlo analysis'!H4","v":98698.203717193013},{"$f":"'Monte Carlo analysis'!Q4","v":171018.17471309003},null,{"$f":"'Monte Carlo analysis'!K5","v":217135.63427736494},{"$f":"'Monte Carlo analysis'!H5","v":292458.98715159518},{"$f":"'Monte Carlo analysis'!Q5","v":378843.35577365104},null,{"$f":"'Monte Carlo analysis'!K6","v":357940.7672704024},{"$f":"'Monte Carlo analysis'!H6","v":477240.32894553075},{"$f":"'Monte Carlo analysis'!Q6","v":632909.05200746644},null,{"$f":"'Monte Carlo analysis'!K7","v":218255.26043696215},{"$f":"'Monte Carlo analysis'!H7","v":331540.43709875538},{"$f":"'Monte Carlo analysis'!Q7","v":512909.61917503661},null,{"$f":"'Monte Carlo analysis'!K8","v":813524.43790449121},{"$f":"'Monte Carlo analysis'!H8","v":1101239.7531958804},{"$f":"'Monte Carlo analysis'!Q8","v":1513423.0827961965},null,{"$f":"'Monte Carlo analysis'!K3","v":869510.47921221273},{"$f":"'Monte Carlo analysis'!H3","v":1199937.956913077},{"$f":"'Monte Carlo analysis'!Q3","v":1640352.4208557641}]
[null,null,"Of whom children",{"$f":"'Monte Carlo analysis'!K9","v":2673.9555635285096},{"$f":"'Monte Carlo analysis'!H9","v":15477.022707251359},{"$f":"'Monte Carlo analysis'!Q9","v":38578.49175189175},null,{"$f":"'Monte Carlo analysis'!K10","v":19725.508915828417},{"$f":"'Monte Carlo analysis'!H10","v":55608.944434436453},{"$f":"'Monte Carlo analysis'!Q10","v":96043.899609675384},null,{"$f":"'Monte Carlo analysis'!K11","v":200665.84092876199},{"$f":"'Monte Carlo analysis'!H11","v":283743.50909077359},{"$f":"'Monte Carlo analysis'!Q11","v":392049.15876233211},null,{"$f":"'Monte Carlo analysis'!K12","v":13825.262907019267},{"$f":"'Monte Carlo analysis'!H12","v":37286.610705144041},{"$f":"'Monte Carlo analysis'!Q12","v":123377.97909296305},null,{"$f":"'Monte Carlo analysis'!K13","v":245140.12722605286},{"$f":"'Monte Carlo analysis'!H13","v":376639.06423035375},{"$f":"'Monte Carlo analysis'!Q13","v":597837.79219510721},null,{"$f":"'Monte Carlo analysis'!K14","v":250429.06215677696},{"$f":"'Monte Carlo analysis'!H14","v":392116.08693760575},{"$f":"'Monte Carlo analysis'!Q14","v":622545.07905254338}]
[]
[null,"Histogram of total new citizens 15-212"]

{"sheet":"INPUTS","index":2,"n_rows":113,"n_cols":22,"rows_kept":113,"cut":false,"hidden":false,"merged":[]}
[{"$f":"MODEL!B1","v":1158992.1964383705},"(total new citizens 15-212 with Most Likely assumptions)",null,"INPUT PROBABILITY DISTRIBUTION",null,null,null,"Interdependencies"]
[" ",null,null,"Min","Most likely","Max","Distribution","Tie to line","N for negative correlation between variables"]
["ALL FORMATIONS","Actual/nominal strength",null,0.81,0.89,0.96,"t"]
[null,"Attrition rate (25 years)",null,0.4,0.5,0.6,"t",null,null,null,"MODULES TO ACTIVATE"]
["AUXILIA","Paper strength by year",14,110,150,160,"t"]
[null,"000s",69,140,180,190,"t",5,null,null,"Auxilia","y"]
[null,null,99,193,214,229,"t",5,null,null,"Fleet","y"]
[null,null,130,200,222,240,"t",5,null,null,"Legions","y"]
[null,null,161,200,222,240,"t",5]
[null,null,212,190,222,250,"t",5]
[null,"Citizens in the auxilia (%)",14,7.0000000000000007E-2,null,0.11,"u"]
[null,null,117,0.2,null,0.5,"u",11]
[null,null,212,0.45,null,0.8,"u",11]
[null,"Term of service",14,30,35,40,"t"]
[null,null,50,25,27,30,"t",14]
[null,null,110,null,25]
[null,"Ave. stipendia at grant ","50-110",null,25]
[null,"Children / veteran","14-96",0.04,0.26,0.48,"t"]
[null,null,"117-140",1.6,2,2.5,"t",18]
[null,"Scale of regime","14-47",0.1,null,0.9,"u"]
[null," (auxilia and fleet only)","48-97",null,1]
[null,"% of potential beneficiaries receiving grants","98-166",null,1]
[null,null,"167-212",null,1]
[null,"% of auxiliaries receiveing grants to children post 140",null,null,0]
["FLEETS","Paper strength",14,15,25,50,"t"]
[null,null,212,15,25,50,"t",25]
[null,"% in Italian fleets",null,null,0.5]
[null,"Term of service (fleets)",null,null,26]
[null,"Citizens in the fleet",14,null,0]
[null,null,212,null,0]
[null,"Citizenship for children of classici in provincial fleets post 140?",null,0.02,0.08,0.33,"t"]
[null,"Children/veteran (Italian fleets)","14-96",0.04,0.26,0.48,"t",18]
[null,null,"117-212",0.42,0.79,1.2,"t",18]
["LEGIONS","Legions in service",14,null,25]
[null,null,40,null,27]
[null,null,70,null,29]
[null,null,104,null,30]
[null,null,132,null,28]
[null,null,165,null,30]
[null,null,197,null,33]
[null,"Unit strength","14-69",4800,null,4920,"u"]
[null,null,"100-212",5120,null,5400,"u",41]
[null,"Term of service","15-99",null,20]
[null,null,"100-212",null,25]
[null,"Rep. of peregrines among legionary recuits ca 14 CE",null,0.01,null,0.25,"u"]
[null,"Displacement of peregrines by citizens by 212 CE",null,0,null,1,"u",11]
["'EVENTS'","Citizenship for children of legionaries?",null,null,0.25,null,"e"]
[null,"Citizenship for children of citizen soldiers?",null,null,1,null,"e"]
[null,"Citizenship for children before 48?",null,null,1,null,"e",null,null,null,null,null,null,null,null,null,null,null,null,null,null,0]
[]
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[]
[]
["SENSITIVITY ANALYSIS CUTS OFF AT R.100"]

{"sheet":"MODEL","index":3,"n_rows":218,"n_cols":204,"rows_kept":218,"cut":false,"hidden":false,"merged":[]}
[null,{"$f":"SUM(G217:GV217)","v":1158992.1964383705}]
[null,null,null,null,"Actual/paper strength",null,null,null,"Auxilia, paper strength",null,null,"Citizens in auxilia",null,null,null,"Children / veteran (auxilia)",null,null,null,null,"Fleets, actual strength",null,null,null,"Children / veteran (Italian fleets)",null,null,null,"Legion count",null,null,"Peregrine recruits to legions"]
[null,null,null,null,{"$f":"'MC inputs'!I3","v":0.89},null,null,null,"(end of year)",null,null,"Year","'000s"," increment pa",null,null,null," increment pa",null,null,"Year","'000s"," increment pa",null,null,null,null,null,"Year","No. of legions"]
[null,null,null,null,null,null,null,null,"Year","'000s"," increment pa",{"$f":"INPUTS!C11","v":14},{"$f":"'MC inputs'!I11","v":0.09},{"$f":"IF(ISBLANK(M5),0,(M5-M4)/(L5-L4))","v":2.5242718446601945E-3},null,14,{"$f":"'MC inputs'!I18","v":0.26},{"$f":"IF(ISBLANK(Q5),0,(Q5-Q4)/(P5-P4))","v":0},null,null,{"$f":"INPUTS!C25","v":14},{"$f":"'MC inputs'!I25","v":25},{"$f":"IF(ISBLANK(V5),0,(V5-V4)/(U5-U4))","v":0},null,null,null," increment pa",null,{"$f":"INPUTS!C34","v":14},{"$f":"'MC inputs'!I34","v":25},null,null,"Ca 14 CE",{"$f":"'MC inputs'!I45","v":0.13}]
[null,null,null,null,"Attrition rate (25 years)",null,null,null,{"$f":"INPUTS!C5","v":14},{"$f":"'MC inputs'!I5","v":150},{"$f":"IF(I6=0,0,(J6-J5)/(I6-I5))","v":0.54545454545454541},{"$f":"INPUTS!C12","v":117},{"$f":"'MC inputs'!I12","v":0.35},{"$f":"IF(ISBLANK(M6),0,(M6-M5)/(L6-L5))","v":2.8947368421052633E-3},null,96,{"$f":"Q4","v":0.26},{"$f":"IF(ISBLANK(Q6),0,(Q6-Q5)/(P6-P5))","v":8.2857142857142851E-2},null,null,{"$f":"INPUTS!C26","v":212},{"$f":"'MC inputs'!I26","v":25},{"$f":"IF(ISBLANK(V6),0,(V6-V5)/(U6-U5))","v":0},null,14,{"$f":"+'MC inputs'!I32","v":0.26},{"$f":"IF(ISBLANK(Z6),0,(Z6-Z5)/(Y6-Y5))","v":0},null,{"$f":"INPUTS!C35","v":40},{"$f":"'MC inputs'!I35","v":27},null,null,"Reduction by 212 CE",{"$f":"'MC inputs'!I46","v":0.5}]
[null,null,null,null,{"$f":"'MC inputs'!I4","v":0.5},null,null,null,{"$f":"INPUTS!C6","v":69},{"$f":"'MC inputs'!I6","v":180},1.1333333333333333,{"$f":"INPUTS!C13","v":212},{"$f":"'MC inputs'!I13","v":0.625},{"$f":"IF(ISBLANK(M7),0,(M7-M6)/(L7-L6))","v":0},null,117,{"$f":"'MC inputs'!I19","v":2},null,null,null,null,null,null,null,96,{"$f":"Z5","v":0.26},{"$f":"IF(ISBLANK(Z7),0,(Z7-Z6)/(Y7-Y6))","v":2.523809523809524E-2},null,{"$f":"INPUTS!C36","v":70},{"$f":"'MC inputs'!I36","v":29},null,null,"increment pa",{"$f":"(AH5*AH4)/(212-14)","v":3.2828282828282828E-4}]
[null,null,null,null,null,null,null,null,{"$f":"INPUTS!C7","v":99},{"$f":"'MC inputs'!I7","v":214},0.25806451612903225,null,null,null,null,"Assumes a gradual transition in 97-117",null,null,null,null,"Blanked, but still functional",null,null,null,117,{"$f":"+'MC inputs'!I33","v":0.79},null,null,{"$f":"INPUTS!C37","v":104},{"$f":"'MC inputs'!I37","v":30}]
[null,"MODULES TO ACTIVATE",null,null,null,null,null,null,{"$f":"INPUTS!C8","v":130},{"$f":"'MC inputs'!I8","v":222},0,"Stipendia at grant (auxilia)",null,null,null,null,null,null,null,null,null,null,null,null,"Assumes a gradual transition in 97-117",null,null,null,{"$f":"INPUTS!C38","v":132},{"$f":"'MC inputs'!I38","v":28},null,"Citizenship for children of legionaries?"]
[null,null,null,null,"Scale of regime pre- & post-Claudius",null,null,null,{"$f":"INPUTS!C9","v":161},{"$f":"'MC inputs'!I9","v":222},0,15,25,null,null,"% of auxiliaries receiveing grants to children post 140",null,{"$f":"'MC inputs'!I24","v":0},null,null,"Term of service (fleets)",null,null,null,null,null,null,null,{"$f":"INPUTS!C39","v":165},{"$f":"'MC inputs'!I39","v":30},null,null,{"$f":"'MC inputs'!I47","v":0.25},{"$f":"IF(ROUND(AG9,0)=1,\"Y\",\"N\")","v":"N"}]
[null,"Auxilia",{"$f":"INPUTS!L6","v":"y"},null,"% of potential beneficairies receiving grant",null,null,null,{"$f":"INPUTS!C10","v":212},{"$f":"'MC inputs'!I10","v":222},0,50,{"$f":"'MC inputs'!I17","v":25},null,null,null,null,null,null,null,{"$f":"'MC inputs'!I28","v":26},null,null,null,"% of classici in provincial fleets receiving citizenship for children post 140 ",null,{"$f":"+'MC inputs'!I31","v":0.08},null,{"$f":"INPUTS!C40","v":197},{"$f":"'MC inputs'!I40","v":33}]
[null,"Fleet",{"$f":"INPUTS!L7","v":"y"},null,"Year","%",null,null,null,null,0,110,{"$f":"J16","v":25},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Nominal strength of legion",null,null,"Children / veteran (legions)"]
[null,"Legions",{"$f":"INPUTS!L8","v":"y"},null,14,{"$f":"'MC inputs'!I20","v":0.5},null,null,null,null,null,"Note that only the value for 50-110 is a variable",null,null,null,"Citizenship for children before 50?",null,{"$f":"'MC inputs'!I48","v":1},{"$f":"IF(ROUND(R12,0)=1,\"Y\",\"N\")","v":"Y"},null,"Citizens in fleet",null,null,null,"% of classici in Italian fleets",null,{"$f":"'MC inputs'!I27","v":0.5},null,15,{"$f":"'MC inputs'!I41","v":4860},null,null,null," increment pa"]
[null,null,null,null,48,{"$f":"'MC inputs'!I21","v":1},null,null,"Term of service (auxilia)",null,null,null,null,null,null,"Citizenship for children of citizen soldiers?",null,{"$f":"'MC inputs'!I49","v":1},{"$f":"IF(ROUND(R13,0)=1,\"Y\",\"N\")","v":"Y"},null,14,{"$f":"INPUTS!E29","v":0},{"$f":"IF(ISBLANK(V14),0,(V14-V13)/(U14-U13))","v":0},null,null,null,null,null,69,{"$f":"AD12","v":4860},{"$f":"IF(ISBLANK(AD14),0,(AD14-AD13)/(AC14-AC13))","v":13.333333333333334},14,{"$f":"+Q4","v":0.26},{"$f":"IF(ISBLANK(AG14),0,(AG14-AG13)/(AF14-AF13))","v":0}]
[null,null,null,null,98,{"$f":"'MC inputs'!I22","v":1},null,null,{"$f":"INPUTS!C14","v":14},{"$f":"ROUND('MC inputs'!I14,0)","v":35},null,null,null,null,null,null,null,null,null,null,212,{"$f":"INPUTS!E30","v":0},{"$f":"IF(ISBLANK(V15),0,(V15-V14)/(U15-U14))","v":0},null,null,null,null,null,99,{"$f":"'MC inputs'!I42","v":5260},null,96,{"$f":"AG13","v":0.26},{"$f":"IF(ISBLANK(AG15),0,(AG15-AG14)/(AF15-AF14))","v":8.2857142857142851E-2}]
[null,null,null,null,167,{"$f":"'MC inputs'!I23","v":1},null,null,{"$f":"INPUTS!C15","v":50},{"$f":"ROUND('MC inputs'!I15,0)","v":27},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Term of service (legions)",null,null,117,{"$f":"+Q6","v":2}]
[null,null,null,null,null,null,null,null,{"$f":"IF(ISBLANK(INPUTS!C16),\"\",INPUTS!C16)","v":110},{"$f":"ROUND('MC inputs'!I16,0)","v":25},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,{"$f":"'MC inputs'!I43","v":20},null,"Assumes a gradual transition in 97-117"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,100,{"$f":"'MC inputs'!I44","v":25}]
[]
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[null,"Date",null,null,null,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212]
[null,"Period",null,null,null,null,"14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","14-47","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","48-98","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","99-139","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212","140-212"]
[]
["AUXILIA (inc EQUITES SINGULARES)"]
[]
["ACTUAL STRENGTH MODEL"]
[null,"Paper strength (end of year)"]
[null,"Assumes linear change in strength between census points"]
[null,"Base",null,null,null,{"$f":"VLOOKUP(F20,$I$5:$J$11,2)*1000","v":150000},150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,{"$f":"VLOOKUP(AL20,$I$5:$J$11,2)*1000","v":150000},150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,150000,180000,180000,180000,180000,180000,180000,180000,180000,180000,{"$f":"VLOOKUP(BR20,$I$5:$J$11,2)*1000","v":180000},180000,180000,180000,180000,180000,180000,180000,180000,180000,180000,180000,180000,180000,180000,180000,180000,180000,180000,180000,180000,214000,214000,214000,214000,214000,214000,214000,214000,214000,214000,214000,{"$f":"VLOOKUP(CX20,$I$5:$J$11,2)*1000","v":214000},214000,214000,214000,214000,214000,214000,214000,214000,214000,214000,214000,214000,214000,214000,214000,214000,214000,214000,214000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,{"$f":"VLOOKUP(ED20,$I$5:$J$11,2)*1000","v":222000},222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,{"$f":"VLOOKUP(FJ20,$I$5:$J$11,2)*1000","v":222000},222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,{"$f":"VLOOKUP(GP20,$I$5:$J$11,2)*1000","v":222000},222000,222000,222000,222000,222000,222000]
[null,"Increment",null,null,null,{"$f":"VLOOKUP(F20,$I$5:$K$10,3)*1000","v":545.45454545454538},545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,{"$f":"VLOOKUP(AL20,$I$5:$K$10,3)*1000","v":545.45454545454538},545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,545.45454545454538,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,{"$f":"VLOOKUP(BR20,$I$5:$K$10,3)*1000","v":1133.3333333333333},1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,1133.3333333333333,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,{"$f":"VLOOKUP(CX20,$I$5:$K$10,3)*1000","v":258.06451612903226},258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,258.06451612903226,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(ED20,$I$5:$K$10,3)*1000","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(FJ20,$I$5:$K$10,3)*1000","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(GP20,$I$5:$K$10,3)*1000","v":0},0,0,0,0,0,0]
[null,"Years",null,null,null,{"$f":"F20-VLOOKUP(F20,$I$5:$J$11,1)","v":0},1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,{"$f":"AL20-VLOOKUP(AL20,$I$5:$J$11,1)","v":32},33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,0,1,2,3,4,5,6,7,8,{"$f":"BR20-VLOOKUP(BR20,$I$5:$J$11,1)","v":9},10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,0,1,2,3,4,5,6,7,8,9,10,{"$f":"CX20-VLOOKUP(CX20,$I$5:$J$11,1)","v":11},12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,0,1,2,3,4,5,6,7,8,9,10,11,{"$f":"ED20-VLOOKUP(ED20,$I$5:$J$11,1)","v":12},13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,0,1,2,3,4,5,6,7,8,9,10,11,12,{"$f":"FJ20-VLOOKUP(FJ20,$I$5:$J$11,1)","v":13},14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,{"$f":"GP20-VLOOKUP(GP20,$I$5:$J$11,1)","v":45},46,47,48,49,50,0]
[null,"Paper strength Extrapolated",null,null,null,{"$f":"F28+F29*F30","v":150000},{"$f":"G28+G29*G30","v":150545.45454545456},151090.90909090909,151636.36363636365,152181.81818181818,152727.27272727274,153272.72727272726,153818.18181818182,154363.63636363635,154909.09090909091,155454.54545454544,156000,156545.45454545453,157090.90909090909,157636.36363636365,158181.81818181818,158727.27272727274,159272.72727272726,159818.18181818182,160363.63636363635,160909.09090909091,161454.54545454544,162000,162545.45454545453,163090.90909090909,163636.36363636365,164181.81818181818,164727.27272727274,165272.72727272726,165818.18181818182,166363.63636363635,166909.09090909091,167454.54545454544,168000,168545.45454545453,169090.90909090909,169636.36363636365,170181.81818181818,170727.27272727274,171272.72727272726,171818.18181818182,172363.63636363635,172909.09090909091,173454.54545454544,174000,174545.45454545453,175090.90909090909,175636.36363636365,176181.81818181818,176727.27272727274,177272.72727272726,177818.18181818182,178363.63636363635,178909.09090909091,179454.54545454544,180000,181133.33333333334,182266.66666666666,183400,184533.33333333334,185666.66666666666,186800,187933.33333333334,189066.66666666666,{"$f":"BR28+BR29*BR30","v":190200},191333.33333333334,192466.66666666666,193600,194733.33333333334,195866.66666666666,197000,198133.33333333334,199266.66666666666,200400,201533.33333333334,202666.66666666666,203800,204933.33333333334,206066.66666666666,207200,208333.33333333334,209466.66666666666,210600,211733.33333333334,212866.66666666666,214000,214258.06451612903,214516.12903225806,214774.19354838709,215032.25806451612,215290.32258064515,215548.38709677418,215806.45161290321,216064.51612903227,216322.5806451613,216580.64516129033,216838.70967741936,217096.77419354839,217354.83870967742,217612.90322580645,217870.96774193548,218129.03225806452,218387.09677419355,218645.16129032258,218903.22580645161,219161.29032258064,219419.35483870967,219677.4193548387,219935.48387096773,220193.54838709679,220451.61290322582,220709.67741935485,220967.74193548388,221225.80645161291,221483.87096774194,221741.93548387097,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,{"$f":"ED28+ED29*ED30","v":222000},222000,222000,222000,222000,222000,222000,{"$f":"EK28+EK29*EK30","v":222000},222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,222000,{"$f":"GP28+GP29*GP30","v":222000},222000,222000,222000,222000,222000,222000]
[null,"Actual:nominal strength",null,null,null,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89]
[null,"Actual strength",null,null,null,{"$f":"G28*G32","v":133500},{"$f":"G31*G32","v":133985.45454545456},134470.90909090909,134956.36363636365,135441.81818181818,135927.27272727274,136412.72727272726,136898.18181818182,137383.63636363635,137869.09090909091,138354.54545454544,138840,139325.45454545453,139810.90909090909,140296.36363636365,140781.81818181818,141267.27272727274,141752.72727272726,142238.18181818182,142723.63636363635,143209.09090909091,143694.54545454544,144180,144665.45454545453,145150.90909090909,145636.36363636365,146121.81818181818,146607.27272727274,147092.72727272726,147578.18181818182,148063.63636363635,148549.09090909091,149034.54545454544,149520,150005.45454545453,150490.90909090909,150976.36363636365,151461.81818181818,151947.27272727274,152432.72727272726,152918.18181818182,153403.63636363635,153889.09090909091,154374.54545454544,154860,155345.45454545453,155830.90909090909,156316.36363636365,156801.81818181818,157287.27272727274,157772.72727272726,158258.18181818182,158743.63636363635,159229.09090909091,159714.54545454544,160200,161208.66666666669,162217.33333333331,163226,164234.66666666669,165243.33333333331,166252,167260.66666666669,168269.33333333331,169278,{"$f":"BS31*BS32","v":170286.66666666669},171295.33333333331,172304,173312.66666666669,174321.33333333331,175330,176338.66666666669,177347.33333333331,178356,179364.66666666669,180373.33333333331,181382,182390.66666666669,183399.33333333331,184408,185416.66666666669,186425.33333333331,187434,188442.66666666669,189451.33333333331,190460,190689.67741935485,190919.35483870967,191149.03225806452,191378.70967741936,191608.38709677418,191838.06451612903,192067.74193548385,192297.41935483873,192527.09677419357,192756.77419354839,192986.45161290324,193216.12903225806,193445.80645161291,193675.48387096776,193905.16129032258,194134.83870967742,194364.51612903227,194594.19354838709,194823.87096774194,195053.54838709676,195283.22580645161,195512.90322580645,195742.58064516127,195972.25806451615,196201.93548387097,196431.61290322582,196661.29032258067,196890.96774193548,197120.64516129033,197350.32258064515,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,{"$f":"EE31*EE32","v":197580},197580,197580,197580,197580,197580,{"$f":"EK31*EK32","v":197580},197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,197580,{"$f":"GQ31*GQ32","v":197580},197580,197580,197580,197580,197580]
[]
["CITIZENS v PEREGRINES MODEL"]
[null,"% of recruits who were citizens"]
[null,"Assumes linear growth between census points"]
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[null,"Increment",null,null,null,null,{"$f":"VLOOKUP(G$20,$L$4:$N$6,3)","v":2.5242718446601945E-3},2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,{"$f":"VLOOKUP(AM$20,$L$4:$N$6,3)","v":2.5242718446601945E-3},2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,{"$f":"VLOOKUP(BS$20,$L$4:$N$6,3)","v":2.5242718446601945E-3},2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,{"$f":"VLOOKUP(CY$20,$L$4:$N$6,3)","v":2.5242718446601945E-3},2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.5242718446601945E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,{"$f":"VLOOKUP(EE$20,$L$4:$N$6,3)","v":2.8947368421052633E-3},2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,{"$f":"VLOOKUP(FK$20,$L$4:$N$6,3)","v":2.8947368421052633E-3},2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,{"$f":"VLOOKUP(GQ$20,$L$4:$N$6,3)","v":2.8947368421052633E-3},2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,2.8947368421052633E-3,0]
[null,"Years",null,null,null,null,{"$f":"G$20-VLOOKUP(G$20,$L$4:$N$6,1)","v":1},2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,{"$f":"AM$20-VLOOKUP(AM$20,$L$4:$N$6,1)","v":33},34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,{"$f":"BS$20-VLOOKUP(BS$20,$L$4:$N$6,1)","v":65},66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,{"$f":"CY$20-VLOOKUP(CY$20,$L$4:$N$6,1)","v":97},98,99,100,101,102,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,{"$f":"EE$20-VLOOKUP(EE$20,$L$4:$N$6,1)","v":26},27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,{"$f":"FK$20-VLOOKUP(FK$20,$L$4:$N$6,1)","v":58},59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,{"$f":"GQ$20-VLOOKUP(GQ$20,$L$4:$N$6,1)","v":90},91,92,93,94,0]
[null,"Estimate",null,null,null,null,{"$f":"G38+G39*G40","v":9.2524271844660194E-2},9.5048543689320392E-2,9.7572815533980575E-2,0.10009708737864077,0.10262135922330097,0.10514563106796117,0.10766990291262135,0.11019417475728155,0.11271844660194175,0.11524271844660194,0.11776699029126214,0.12029126213592234,0.12281553398058252,0.12533980582524273,0.1278640776699029,0.1303883495145631,0.1329126213592233,0.1354368932038835,0.13796116504854369,0.14048543689320389,0.14300970873786409,0.14553398058252426,0.14805825242718446,0.15058252427184465,0.15310679611650485,0.15563106796116505,0.15815533980582525,0.16067961165048544,0.16320388349514564,0.16572815533980584,0.16825242718446604,0.17077669902912623,0.17330097087378643,0.17582524271844663,0.1783495145631068,0.180873786407767,0.18339805825242719,0.18592233009708739,0.18844660194174756,0.19097087378640776,0.19349514563106796,0.19601941747572815,0.19854368932038835,0.20106796116504855,0.20359223300970875,0.20611650485436894,0.20864077669902914,0.21116504854368934,0.21368932038834954,0.21621359223300973,0.2187378640776699,0.2212621359223301,0.2237864077669903,0.22631067961165049,0.22883495145631069,0.23135922330097089,0.23388349514563109,0.23640776699029128,0.23893203883495148,0.24145631067961165,0.24398058252427185,0.24650485436893205,0.24902912621359224,0.25155339805825244,0.25407766990291264,{"$f":"BT38+BT39*BT40","v":0.25660194174757284},0.25912621359223303,0.26165048543689323,0.26417475728155337,0.26669902912621357,0.26922330097087377,0.27174757281553397,0.27427184466019416,0.27679611650485436,0.27932038834951456,0.28184466019417476,0.28436893203883495,0.28689320388349515,0.28941747572815535,0.29194174757281555,0.29446601941747574,0.29699029126213594,0.29951456310679614,0.30203883495145634,0.30456310679611653,0.30708737864077673,0.30961165048543693,0.31213592233009713,0.31466019417475732,0.31718446601941752,0.31970873786407772,0.32223300970873792,0.32475728155339811,0.32728155339805831,0.32980582524271851,0.33233009708737871,0.33485436893203885,0.33737864077669905,0.33990291262135924,0.3424271844660195,0.34495145631067958,0.34747572815533978,0.35,0.35289473684210526,0.35578947368421049,0.35868421052631577,0.36157894736842106,0.36447368421052628,0.36736842105263157,0.37026315789473685,0.37315789473684208,0.37605263157894736,0.37894736842105259,0.38184210526315787,0.38473684210526315,0.38763157894736838,0.39052631578947367,0.39342105263157895,0.39631578947368418,0.39921052631578946,0.40210526315789474,0.40499999999999997,0.40789473684210525,0.41078947368421048,0.41368421052631577,0.41657894736842105,0.41947368421052633,0.42236842105263156,0.42526315789473684,{"$f":"EF38+EF39*EF40","v":0.42815789473684207},0.43105263157894735,0.43394736842105264,0.43684210526315786,0.43973684210526315,0.44263157894736838,0.44552631578947366,0.44842105263157894,0.45131578947368423,0.45421052631578945,0.45710526315789474,0.45999999999999996,0.46289473684210525,0.46578947368421053,0.46868421052631576,0.47157894736842104,0.47447368421052627,0.47736842105263155,0.48026315789473684,0.48315789473684212,0.48605263157894735,0.48894736842105263,0.49184210526315786,0.49473684210526314,0.49763157894736842,0.50052631578947371,0.50342105263157899,0.50631578947368416,0.50921052631578945,0.51210526315789473,0.51500000000000001,0.51789473684210519,0.52078947368421047,0.52368421052631575,0.52657894736842104,0.52947368421052632,0.5323684210526316,0.53526315789473689,0.53815789473684206,0.54105263157894734,0.54394736842105262,0.54684210526315791,0.54973684210526308,0.55263157894736836,0.55552631578947365,0.55842105263157893,0.56131578947368421,0.5642105263157895,0.56710526315789478,0.56999999999999995,0.57289473684210523,0.57578947368421052,0.5786842105263158,0.58157894736842097,0.58447368421052626,0.58736842105263154,0.59026315789473682,0.59315789473684211,0.59605263157894739,0.59894736842105267,0.60184210526315796,0.60473684210526313,0.60763157894736841,0.61052631578947369,{"$f":"GR38+GR39*GR40","v":0.61342105263157887},0.61631578947368415,0.61921052631578943,0.62210526315789472,0.625]
[]
["ATTRITION MODEL"]
[null,"Term of service (ave)",null,null,null,null,{"$f":"VLOOKUP(G20,$I$14:$J$16,2)","v":35},35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,{"$f":"VLOOKUP(AM20,$I$14:$J$16,2)","v":35},35,35,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,{"$f":"VLOOKUP(BS20,$I$14:$J$16,2)","v":27},27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,25,{"$f":"VLOOKUP(CY20,$I$14:$J$16,2)","v":25},25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,{"$f":"VLOOKUP(EE20,$I$14:$J$16,2)","v":25},25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,{"$f":"VLOOKUP(FK20,$I$14:$J$16,2)","v":25},25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,{"$f":"VLOOKUP(GQ20,$I$14:$J$16,2)","v":25},25,25,25,25,25]
[null,"Stipendia at grant (ave)",null,null,null,null,{"$f":"VLOOKUP(G$20,$L$9:$M$11,2)","v":25},25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,{"$f":"VLOOKUP(AM$20,$L$9:$M$11,2)","v":25},25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,{"$f":"VLOOKUP(BS$20,$L$9:$M$11,2)","v":25},25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,{"$f":"VLOOKUP(CY$20,$L$9:$M$11,2)","v":25},25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,{"$f":"VLOOKUP(EE$20,$L$9:$M$11,2)","v":25},25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,{"$f":"VLOOKUP(FK$20,$L$9:$M$11,2)","v":25},25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,{"$f":"VLOOKUP(GQ$20,$L$9:$M$11,2)","v":25},25,25,25,25,25]
[null,"Attrition to last service cohort (%)",null,null,null,null,{"$f":"((G44-1)/25)*$E$6","v":0.68},0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,0.68,{"$f":"((AM44-1)/25)*$E$6","v":0.68},0.68,0.68,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,{"$f":"((BS44-1)/25)*$E$6","v":0.52},0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.48,{"$f":"((CY44-1)/25)*$E$6","v":0.48},0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,{"$f":"((EE44-1)/25)*$E$6","v":0.48},0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,{"$f":"((FK44-1)/25)*$E$6","v":0.48},0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,0.48,{"$f":"((GQ44-1)/25)*$E$6","v":0.48},0.48,0.48,0.48,0.48,0.48]
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[null,"Of whom peregrine recruits",null,null,null,null,{"$f":"+G49*(1-G41)","v":5704.1117204067032},{"$f":"+H49*(1-H41)","v":5707.2627984548417},5710.3077795990548,5713.2466638392361,5716.0794511754921,5718.8061416077171,5721.4267351360149,5723.9412317602819,5726.3496314806234,5728.6519342969332,5730.8481402093175,5732.9382492176701,5734.9222613220973,5736.800176522519,5738.5719948189353,5740.2377162114271,5741.7973406998863,5743.25086828442,5744.5982989649219,5745.8396327414985,5746.9748696140432,5748.0040095826625,5748.9270526472501,5749.7439988079113,5750.454848064569,5751.0596004172221,5751.5582558659462,5751.9508144106421,5752.237276051409,5752.4176407881487,5752.4919086209575,5752.4600795497399,5752.3221535745915,5752.0781306954168,5751.7280109123112,6587.2730225371115,6586.8142569754091,6586.2328268250712,6585.5287320859998,6584.7019727582938,6583.752548841856,6582.6804603367818,6581.485707242975,6580.1682895605327,6578.7282072893577,6577.1654604295481,6575.4800489810314,6573.6719729438046,6571.7412323179424,6569.6878271033474,6567.5117573001171,6565.2130229081549,6562.7916239275564,6560.2475603582261,6557.5808322002595,6977.0818474785619,6992.8450921471322,7008.3534670593071,7023.6069722149477,7038.6056076140567,7053.3493732567667,7067.8382691429442,7082.0722952725891,7096.0514516458343,7109.7757382625505,{"$f":"+BT49*(1-BT41)","v":7123.2451551227305},7136.4597022265125,7149.4193795737619,7162.1241871644816,7174.5741249987996,7186.7691930765868,7198.7093913978415,7210.3947199626955,7221.8251787710178,7233.0007678228112,7243.9214871181994,7254.5873366570595,7264.998316439388,7275.1544264653139,7285.05566673471,7294.7020372475754,7304.0935380040373,7313.2301690039685,7322.1119302473708,7330.7388217343687,6772.3237724414112,6755.5885502790461,6738.7952932575599,6721.9440013768917,6705.0346746370406,6688.0673130380674,6671.0419165798912,6653.958485262614,6636.8170190861147,6619.6175180504515,6934.9931956417886,6916.8144098109215,6898.5745957439858,6880.2737534409216,6861.9118829017279,6843.4889841264676,6825.0050571150769,6806.4601018675594,6783.9703243678023,6761.4105620587843,6738.7808149405837,6716.0810830131413,6693.311366276459,6670.4716647306122,6647.5619783754673,6624.582307211158,6601.5326512376078,6578.4130104548185,6555.2233848628421,6531.9637744616084,6508.6341792511912,6337.8847645429378,6307.7825484764553,6277.6803324099728,6247.5781163434913,6217.4759002770088,6187.3736842105263,6157.2714681440439,6127.1692520775632,6097.0670360110807,6066.9648199445992,6036.8626038781167,6006.7603878116352,5976.6581717451536,{"$f":"+EF49*(1-EF41)","v":5946.5559556786711},5916.4537396121887,5886.3515235457071,5856.2493074792246,5826.1470914127422,5796.0448753462615,5765.942659279779,5735.8404432132966,5705.738227146815,5675.6360110803334,5645.533795013851,5615.4315789473694,5585.3293628808869,5555.2271468144045,5525.1249307479229,5495.0227146814404,5464.9204986149589,5434.8182825484773,5404.7160664819949,5374.6138504155124,5344.5116343490317,5314.4094182825493,5284.3072022160668,5254.2049861495852,5224.1027700831028,5194.0005540166203,5163.8983379501387,5133.7961218836572,5103.6939058171756,5073.5916897506931,5043.4894736842107,5013.38725761773,4983.2850415512476,4953.1828254847651,4923.0806094182835,4892.9783933518011,4862.8761772853186,4832.7739612188361,4802.6717451523555,4772.569529085873,4742.4673130193914,4712.365096952909,4682.2628808864274,4652.1606648199459,4622.0584487534634,4591.9562326869809,4561.8540166204994,4531.7518005540169,4501.6495844875344,4471.5473684210538,4441.4451523545713,4411.3429362880888,4381.2407202216073,4351.1385041551257,4321.0362880886432,4290.9340720221617,4260.8318559556792,4230.7296398891967,4200.6274238227152,4170.5252077562327,4140.4229916897502,4110.3207756232696,4080.2185595567871,4050.1163434903051,{"$f":"+GR49*(1-GR41)","v":4020.014127423824},3989.9119113573415,3959.8096952908595,3929.707479224377,3899.605263157895]
[null,"Relevant recruit population for grants calc",null,null,null,null,{"$f":"IF(G45=\"na\",\"\",INDEX($G50:$GV50,MAX(G$20-(G45+14),1)))","v":5704.1117204067032},{"$f":"IF(H45=\"na\",\"\",INDEX($G50:$GV50,MAX(H$20-(H45+14),1)))","v":5704.1117204067032},5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5704.1117204067032,5707.2627984548417,5710.3077795990548,5713.2466638392361,5716.0794511754921,5718.8061416077171,5721.4267351360149,5723.9412317602819,5726.3496314806234,5728.6519342969332,5730.8481402093175,5732.9382492176701,5734.9222613220973,5736.800176522519,5738.5719948189353,5740.2377162114271,5741.7973406998863,5743.25086828442,5744.5982989649219,5745.8396327414985,5746.9748696140432,5748.0040095826625,5748.9270526472501,5749.7439988079113,5750.454848064569,5751.0596004172221,5751.5582558659462,5751.9508144106421,5752.237276051409,5752.4176407881487,5752.4919086209575,5752.4600795497399,5752.3221535745915,5752.0781306954168,5751.7280109123112,6587.2730225371115,6586.8142569754091,6586.2328268250712,6585.5287320859998,6584.7019727582938,{"$f":"IF(BT45=\"na\",\"\",INDEX($G50:$GV50,MAX(BT$20-(BT45+14),1)))","v":6583.752548841856},6582.6804603367818,6581.485707242975,6580.1682895605327,6578.7282072893577,6577.1654604295481,6575.4800489810314,6573.6719729438046,6571.7412323179424,6569.6878271033474,6567.5117573001171,6565.2130229081549,6562.7916239275564,6560.2475603582261,6557.5808322002595,6977.0818474785619,6992.8450921471322,7008.3534670593071,7023.6069722149477,7038.6056076140567,7053.3493732567667,7067.8382691429442,7082.0722952725891,7096.0514516458343,7109.7757382625505,7123.2451551227305,7136.4597022265125,7149.4193795737619,7162.1241871644816,7174.5741249987996,7186.7691930765868,7198.7093913978415,7210.3947199626955,7221.8251787710178,7233.0007678228112,7243.9214871181994,7254.5873366570595,7264.998316439388,7275.1544264653139,7285.05566673471,7294.7020372475754,7304.0935380040373,7313.2301690039685,7322.1119302473708,7330.7388217343687,6772.3237724414112,6755.5885502790461,6738.7952932575599,6721.9440013768917,6705.0346746370406,6688.0673130380674,6671.0419165798912,6653.958485262614,6636.8170190861147,6619.6175180504515,6934.9931956417886,6916.8144098109215,6898.5745957439858,6880.2737534409216,6861.9118829017279,6843.4889841264676,6825.0050571150769,6806.4601018675594,6783.9703243678023,{"$f":"IF(EF45=\"na\",\"\",INDEX($G50:$GV50,MAX(EF$20-(EF45+14),1)))","v":6761.4105620587843},6738.7808149405837,6716.0810830131413,6693.311366276459,6670.4716647306122,6647.5619783754673,6624.582307211158,6601.5326512376078,6578.4130104548185,6555.2233848628421,6531.9637744616084,6508.6341792511912,6337.8847645429378,6307.7825484764553,6277.6803324099728,6247.5781163434913,6217.4759002770088,6187.3736842105263,6157.2714681440439,6127.1692520775632,6097.0670360110807,6066.9648199445992,6036.8626038781167,6006.7603878116352,5976.6581717451536,5946.5559556786711,5916.4537396121887,5886.3515235457071,5856.2493074792246,5826.1470914127422,5796.0448753462615,5765.942659279779,5735.8404432132966,5705.738227146815,5675.6360110803334,5645.533795013851,5615.4315789473694,5585.3293628808869,5555.2271468144045,5525.1249307479229,5495.0227146814404,5464.9204986149589,5434.8182825484773,5404.7160664819949,5374.6138504155124,5344.5116343490317,5314.4094182825493,5284.3072022160668,5254.2049861495852,5224.1027700831028,5194.0005540166203,5163.8983379501387,5133.7961218836572,5103.6939058171756,5073.5916897506931,5043.4894736842107,5013.38725761773,4983.2850415512476,4953.1828254847651,4923.0806094182835,4892.9783933518011,4862.8761772853186,4832.7739612188361,4802.6717451523555,{"$f":"IF(GR45=\"na\",\"\",INDEX($G50:$GV50,MAX(GR$20-(GR45+14),1)))","v":4772.569529085873},4742.4673130193914,4712.365096952909,4682.2628808864274,4652.1606648199459]
[null,"Attrition to grant  (extrapolated)",null,null,null,null,{"$f":"MIN(IF(G45=\"na\",\"\",$E$6*(G45)/25),100%)","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"MIN(IF(AM45=\"na\",\"\",$E$6*(AM45)/25),100%)","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"MIN(IF(BS45=\"na\",\"\",$E$6*(BS45)/25),100%)","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"MIN(IF(CY45=\"na\",\"\",$E$6*(CY45)/25),100%)","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"MIN(IF(EE45=\"na\",\"\",$E$6*(EE45)/25),100%)","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"MIN(IF(FK45=\"na\",\"\",$E$6*(FK45)/25),100%)","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"MIN(IF(GQ45=\"na\",\"\",$E$6*(GQ45)/25),100%)","v":0.5},0.5,0.5,0.5,0.5,0.5]
[null,"Peregrine recruits qualifying for grant this year",null,null,null,null,{"$f":"IF(G45=\"na\",\"\",(1-G52)*G51)","v":2852.0558602033516},2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2852.0558602033516,2853.6313992274208,2855.1538897995274,2856.6233319196181,2858.039725587746,2859.4030708038586,2860.7133675680075,{"$f":"IF(AM45=\"na\",\"\",(1-AM52)*AM51)","v":2861.9706158801409},2863.1748157403117,2864.3259671484666,2865.4240701046588,2866.469124608835,2867.4611306610486,2868.4000882612595,2869.2859974094677,2870.1188581057136,2870.8986703499431,2871.62543414221,2872.299149482461,2872.9198163707492,2873.4874348070216,2874.0020047913313,2874.463526323625,2874.8719994039557,2875.2274240322845,2875.5298002086111,2875.7791279329731,2875.9754072053211,2876.1186380257045,2876.2088203940743,2876.2459543104787,2876.23003977487,2876.1610767872958,2876.0390653477084,2875.8640054561556,3293.6365112685558,3293.4071284877045,3293.1164134125356,3292.7643660429999,{"$f":"IF(BS45=\"na\",\"\",(1-BS52)*BS51)","v":3292.3509863791469},3291.876274420928,3291.3402301683909,3290.7428536214875,3290.0841447802663,3289.3641036446788,3288.5827302147741,3287.7400244905157,3286.8359864719023,3285.8706161589712,3284.8439135516737,3283.7558786500585,3282.6065114540775,3281.3958119637782,3280.1237801791131,3278.7904161001297,3488.540923739281,3496.4225460735661,3504.1767335296536,3511.8034861074739,3519.3028038070283,3526.6746866283834,3533.9191345714721,3541.0361476362946,3548.0257258229171,3554.8878691312752,3561.6225775613652,3568.2298511132562,3574.709689786881,3581.0620935822408,3587.2870624993998,3593.3845965382934,{"$f":"IF(CY45=\"na\",\"\",(1-CY52)*CY51)","v":3599.3546956989208},3605.1973599813477,3610.9125893855089,3616.5003839114056,3621.9607435590997,3627.2936683285297,3632.499158219694,3637.577213232657,3642.527833367355,3647.3510186237877,3652.0467690020187,3656.6150845019843,3661.0559651236854,3665.3694108671843,3386.1618862207056,3377.7942751395231,3369.39764662878,3360.9720006884459,3352.5173373185203,3344.0336565190337,3335.5209582899456,3326.979242631307,3318.4085095430573,3309.8087590252258,3467.4965978208943,3458.4072049054607,3449.2872978719929,3440.1368767204608,3430.955941450864,3421.7444920632338,3412.5025285575384,3403.2300509337797,{"$f":"IF(EE45=\"na\",\"\",(1-EE52)*EE51)","v":3391.9851621839011},3380.7052810293922,3369.3904074702918,3358.0405415065707,3346.6556831382295,3335.2358323653061,3323.7809891877337,3312.291153605579,3300.7663256188039,3289.2065052274093,3277.611692431421,3265.9818872308042,3254.3170896255956,3168.9423822714689,3153.8912742382277,3138.8401662049864,3123.7890581717456,3108.7379501385044,3093.6868421052632,3078.6357340720219,3063.5846260387816,3048.5335180055404,3033.4824099722996,3018.4313019390584,3003.3801939058176,2988.3290858725768,2973.2779778393356,2958.2268698060943,2943.1757617728535,2928.1246537396123,2913.0735457063711,2898.0224376731308,{"$f":"IF(FK45=\"na\",\"\",(1-FK52)*FK51)","v":2882.9713296398895},2867.9202216066483,2852.8691135734075,2837.8180055401667,2822.7668975069255,2807.7157894736847,2792.6646814404435,2777.6135734072022,2762.5624653739615,2747.5113573407202,2732.4602493074794,2717.4091412742387,2702.3580332409974,2687.3069252077562,2672.2558171745159,2657.2047091412746,2642.1536011080334,2627.1024930747926,2612.0513850415514,2597.0002770083101,2581.9491689750694,2566.8980609418286,2551.8469529085878,2536.7958448753466,2521.7447368421053,2506.693628808865,2491.6425207756238,2476.5914127423825,2461.5403047091418,2446.4891966759005,2431.4380886426593,2416.3869806094181,{"$f":"IF(GQ45=\"na\",\"\",(1-GQ52)*GQ51)","v":2401.3358725761777},2386.2847645429365,2371.2336565096957,2356.1825484764545,2341.1314404432137,2326.0803324099729]
[]
[null,"Relevant recruit population for veterans calc",null,null,null,null,{"$f":"INDEX($G49:$GV49,MAX(G$20-(G44+14),1))","v":6285.6906729634147},6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,6285.6906729634147,{"$f":"INDEX($G49:$GV49,MAX(AM$20-(AM44+14),1))","v":6285.6906729634147},6285.6906729634147,6285.6906729634147,6453.813459268019,6474.828807556064,6495.84415584417,6516.8595041322151,6537.8748524203211,6558.8902007083971,6579.9055489964421,6600.9208972845481,6621.9362455725932,6642.9515938606992,6663.9669421487442,6684.9822904368502,6705.9976387248953,6727.0129870130004,6748.0283353010464,6769.0436835891514,6790.0590318772283,6811.0743801652734,6832.0897284533794,6853.1050767414245,6874.1204250295295,6895.1357733175755,6916.1511216056806,6937.1664698937266,6958.1818181818317,6979.1971664698776,7000.2125147579827,8041.8291018291156,8066.1261261261097,{"$f":"INDEX($G49:$GV49,MAX(BS$20-(BS44+14),1))","v":8090.4231504231639},8114.720174720158,8139.0171990172121,8163.3142233142071,8187.6112476112612,8211.9082719082544,8236.2052962053094,8260.5023205023026,8284.7993447993576,8309.0963690963836,8333.3933933933768,8357.6904176904318,8381.987441987425,8406.28446628448,8430.5814905814732,8454.8785148785282,8479.1755391755214,8503.4725634725764,9077.1685018351891,9127.6523189856125,9178.136136136156,9228.6199532866394,9279.1037704370647,9329.5875875876063,9380.0714047380916,9430.555221888515,9481.0390390390585,9531.5228561895437,9582.0066733399672,9632.4904904905088,9682.9743076409941,9834.4257590924462,{"$f":"INDEX($G49:$GV49,MAX(CY$20-(CY44+14),1))","v":9884.9095762428697},9935.3933933934131,9985.8772105438966,10036.361027694322,10086.844844844863,10137.328661995349,10187.812479145772,10238.296296296316,10288.780113446801,10339.263930597224,10389.747747747768,10440.231564898251,10490.715382048675,10541.199199199218,9773.7053182214568,9785.2006845555024,9796.6960508896082,9808.1914172236848,9819.6867835577305,9831.1821498918362,9842.6775162258818,9854.1728825600185,9865.668248894066,9877.1636152281117,10386.859083191861,10398.947368421033,10411.035653650264,10423.123938879467,10435.212224108638,10447.300509337871,10459.388794567072,10471.477079796245,{"$f":"INDEX($G49:$GV49,MAX(EE$20-(EE44+14),1))","v":10483.565365025477},10495.653650254648,10507.74193548388,10519.830220713082,10531.918505942254,10544.006791171516,10556.095076400659,10568.183361629892,10580.271646859093,10592.359932088266,10604.448217317497,10616.536502546669,10628.624787775901,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,{"$f":"INDEX($G49:$GV49,MAX(FK$20-(FK44+14),1))","v":10398.947368421053},10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,{"$f":"INDEX($G49:$GV49,MAX(GQ$20-(GQ44+14),1))","v":10398.947368421053},10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053,10398.947368421053]
[null,"Attrition to discharge (extrapolated)",null,null,null,null,{"$f":"MIN($E$6*(G44)/25,100%)","v":0.7},0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,0.7,{"$f":"MIN($E$6*(AM44)/25,100%)","v":0.7},0.7,0.7,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,{"$f":"MIN($E$6*(BS44)/25,100%)","v":0.54},0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.54,0.5,{"$f":"MIN($E$6*(CY44)/25,100%)","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"MIN($E$6*(EE44)/25,100%)","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"MIN($E$6*(FK44)/25,100%)","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"MIN($E$6*(GQ44)/25,100%)","v":0.5},0.5,0.5,0.5,0.5,0.5]
[null,"Discharged veterans",null,null,null,null,{"$f":"(1-G56)*G55","v":1885.7072018890246},{"$f":"(1-H56)*H55","v":1885.7072018890246},1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,1885.7072018890246,{"$f":"(1-AM56)*AM55","v":1885.7072018890246},1885.7072018890246,1885.7072018890246,2968.7541912632887,2978.4212514757892,2988.0883116883178,2997.7553719008188,3007.4224321133474,3017.0894923258625,3026.7565525383629,3036.4236127508921,3046.0906729633925,3055.7577331759212,3065.4247933884221,3075.0918536009508,3084.7589138134517,3094.4259740259799,3104.0930342384809,3113.7600944510095,3123.427154663525,3133.0942148760255,3142.7612750885542,3152.4283353010551,3162.0953955135833,3171.7624557260847,3181.4295159386129,3191.0965761511138,3200.7636363636425,3210.4306965761434,3220.0977567886716,3699.2413868413928,3710.4180180180101,{"$f":"(1-BS56)*BS55","v":3721.5946491946552},3732.7712803712725,3743.9479115479171,3755.1245427245349,3766.3011739011799,3777.4778050777968,3788.6544362544419,3799.8310674310587,3811.0076986077042,3822.1843297843361,3833.360960960953,3844.5375921375985,3855.7142233142154,3866.8908544908604,3878.0674856674773,3889.2441168441228,3900.4207480207397,3911.5973791973847,4175.4975108441868,4198.7200667333818,4221.9426226226315,4245.1651785118538,4268.3877344010498,4291.6102902902985,4314.8328461795218,4338.0554020687168,4361.2779579579665,4384.5005138471897,4407.7230697363848,4430.9456256256335,4454.1681815148568,4917.2128795462231,{"$f":"(1-CY56)*CY55","v":4942.4547881214348},4967.6966966967066,4992.9386052719483,5018.1805138471609,5043.4224224224317,5068.6643309976744,5093.9062395728861,5119.1481481481578,5144.3900567234004,5169.6319652986122,5194.8738738738839,5220.1157824491256,5245.3576910243373,5270.5995995996091,4886.8526591107284,4892.6003422777512,4898.3480254448041,4904.0957086118424,4909.8433917788652,4915.5910749459181,4921.3387581129409,4927.0864412800092,4932.834124447033,4938.5818076140558,5193.4295415959305,5199.4736842105167,5205.517826825132,5211.5619694397337,5217.6061120543191,5223.6502546689353,5229.6943972835361,5235.7385398981223,{"$f":"(1-EE56)*EE55","v":5241.7826825127386},5247.8268251273239,5253.8709677419401,5259.9151103565409,5265.9592529711272,5272.003395585758,5278.0475382003297,5284.0916808149459,5290.1358234295467,5296.1799660441329,5302.2241086587483,5308.2682512733345,5314.3123938879507,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,{"$f":"(1-FK56)*FK55","v":5199.4736842105267},5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,{"$f":"(1-GQ56)*GQ55","v":5199.4736842105267},5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267,5199.4736842105267]
[]
["FAMILY MODEL"]
[null,"Children per qualifying soldier"]
[null,"Assumes a constant number in the pre- and post-Trajanic periods and linear increase under Trajan"]
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[null,"Increment",null,null,null,null,{"$f":"VLOOKUP(G$20,$P$4:$R$6,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(AM$20,$P$4:$R$6,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(BS$20,$P$4:$R$6,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,{"$f":"VLOOKUP(CY$20,$P$4:$R$6,3)","v":8.2857142857142851E-2},8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(EE$20,$P$4:$R$6,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(FK$20,$P$4:$R$6,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(GQ$20,$P$4:$R$6,3)","v":0},0,0,0,0,0]
[null,"Years",null,null,null,null,{"$f":"G20-VLOOKUP(G$20,$P$4:$R$6,1)","v":1},2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,{"$f":"AM20-VLOOKUP(AM$20,$P$4:$R$6,1)","v":33},34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,{"$f":"BS20-VLOOKUP(BS$20,$P$4:$R$6,1)","v":65},66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,{"$f":"CY20-VLOOKUP(CY$20,$P$4:$R$6,1)","v":15},16,17,18,19,20,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,{"$f":"EE20-VLOOKUP(EE$20,$P$4:$R$6,1)","v":26},27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,{"$f":"FK20-VLOOKUP(FK$20,$P$4:$R$6,1)","v":58},59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,{"$f":"GQ20-VLOOKUP(GQ$20,$P$4:$R$6,1)","v":90},91,92,93,94,95]
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[]
["GRANTS MODEL"]
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[null,"Enfranchised soldiers",null,null,null,null,{"$f":"G53*G68","v":1426.0279301016758},1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.0279301016758,1426.8156996137104,1427.5769448997637,1428.311665959809,1429.019862793873,1429.7015354019293,1430.3566837840037,{"$f":"AM53*AM68","v":1430.9853079400705},2863.1748157403117,2864.3259671484666,2865.4240701046588,2866.469124608835,2867.4611306610486,2868.4000882612595,2869.2859974094677,2870.1188581057136,2870.8986703499431,2871.62543414221,2872.299149482461,2872.9198163707492,2873.4874348070216,2874.0020047913313,2874.463526323625,2874.8719994039557,2875.2274240322845,2875.5298002086111,2875.7791279329731,2875.9754072053211,2876.1186380257045,2876.2088203940743,2876.2459543104787,2876.23003977487,2876.1610767872958,2876.0390653477084,2875.8640054561556,3293.6365112685558,3293.4071284877045,3293.1164134125356,3292.7643660429999,{"$f":"BS53*BS68","v":3292.3509863791469},3291.876274420928,3291.3402301683909,3290.7428536214875,3290.0841447802663,3289.3641036446788,3288.5827302147741,3287.7400244905157,3286.8359864719023,3285.8706161589712,3284.8439135516737,3283.7558786500585,3282.6065114540775,3281.3958119637782,3280.1237801791131,3278.7904161001297,3488.540923739281,3496.4225460735661,3504.1767335296536,3511.8034861074739,3519.3028038070283,3526.6746866283834,3533.9191345714721,3541.0361476362946,3548.0257258229171,3554.8878691312752,3561.6225775613652,3568.2298511132562,3574.709689786881,3581.0620935822408,3587.2870624993998,3593.3845965382934,{"$f":"CY53*CY68","v":3599.3546956989208},3605.1973599813477,3610.9125893855089,3616.5003839114056,3621.9607435590997,3627.2936683285297,3632.499158219694,3637.577213232657,3642.527833367355,3647.3510186237877,3652.0467690020187,3656.6150845019843,3661.0559651236854,3665.3694108671843,3386.1618862207056,3377.7942751395231,3369.39764662878,3360.9720006884459,3352.5173373185203,3344.0336565190337,3335.5209582899456,3326.979242631307,3318.4085095430573,3309.8087590252258,3467.4965978208943,3458.4072049054607,3449.2872978719929,3440.1368767204608,3430.955941450864,3421.7444920632338,3412.5025285575384,3403.2300509337797,{"$f":"EE53*EE68","v":3391.9851621839011},3380.7052810293922,3369.3904074702918,3358.0405415065707,3346.6556831382295,3335.2358323653061,3323.7809891877337,3312.291153605579,3300.7663256188039,3289.2065052274093,3277.611692431421,3265.9818872308042,3254.3170896255956,3168.9423822714689,3153.8912742382277,3138.8401662049864,3123.7890581717456,3108.7379501385044,3093.6868421052632,3078.6357340720219,3063.5846260387816,3048.5335180055404,3033.4824099722996,3018.4313019390584,3003.3801939058176,2988.3290858725768,2973.2779778393356,2958.2268698060943,2943.1757617728535,2928.1246537396123,2913.0735457063711,2898.0224376731308,{"$f":"FK53*FK68","v":2882.9713296398895},2867.9202216066483,2852.8691135734075,2837.8180055401667,2822.7668975069255,2807.7157894736847,2792.6646814404435,2777.6135734072022,2762.5624653739615,2747.5113573407202,2732.4602493074794,2717.4091412742387,2702.3580332409974,2687.3069252077562,2672.2558171745159,2657.2047091412746,2642.1536011080334,2627.1024930747926,2612.0513850415514,2597.0002770083101,2581.9491689750694,2566.8980609418286,2551.8469529085878,2536.7958448753466,2521.7447368421053,2506.693628808865,2491.6425207756238,2476.5914127423825,2461.5403047091418,2446.4891966759005,2431.4380886426593,2416.3869806094181,{"$f":"GQ53*GQ68","v":2401.3358725761777},2386.2847645429365,2371.2336565096957,2356.1825484764545,2341.1314404432137,2326.0803324099729]
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[null,"Actual enfranchisements",null,null,null,null,{"$f":"+G69+G70","v":1796.7951919281115},1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1796.7951919281115,1797.7877815132751,1798.7469505737022,1799.6726991093594,1800.5650271202801,1801.423934606431,1802.2494215678448,{"$f":"+AM69+AM70","v":1803.0414880044889},3607.6002678327927,3609.0507186070681,3610.4343283318703,3611.7510970071321,3613.0010246329211,3614.184111209187,3615.3003567359292,3616.3497612131991,3617.3323246409282,3618.2480470191845,3619.0969283479008,3619.8789686271439,3620.594167856847,3621.2425260370774,3621.8240431677677,3622.338719248984,3622.7865542806785,3623.1675482628498,3623.4817011955461,3623.7290130787046,3623.9094839123877,3624.0231136965335,3624.0699024312034,3624.0498501163361,3623.9629567519928,3623.8092223381127,3623.5886468747563,4149.9820041983803,4149.6929818945082,4149.3266808997951,4148.88310121418,{"$f":"+BS69+BS70","v":4148.3622428377248},4147.7641057703695,4147.0886900121723,4146.335995563074,4145.5060224231356,4144.5987705922953,4143.6142400706158,4142.5524308580498,4141.4133429545973,4140.1969763603038,4138.9033310751092,4137.5324070990737,4136.084204432138,4134.5587230743604,4132.9559630256826,4131.275924286163,4395.561563911494,4405.4924080526935,4705.6087564541067,5006.8283987646555,5309.1196583146029,5612.450858434313,5916.7903224539505,6222.1063737037748,6528.3673355141673,6835.54153121528,7143.5972841373678,7452.5029176108292,7762.2267549657972,8072.7371195325368,8384.0023346414546,8695.99072362267,{"$f":"+CY69+CY70","v":9008.6706098064424},9322.0103165231994,9635.9781671030432,9950.5424848762377,10265.67159317322,10581.333815324082,10897.497474659081,10912.731639697971,10927.583500102064,10942.053055871364,10956.140307006055,10969.845253505953,10983.167895371056,10996.108232601553,10158.485658662117,10133.382825418568,10108.192939886339,10082.916002065338,10057.55201195556,10032.100969557101,10006.562874869836,9980.937727893921,9955.2255286291729,9929.4262770756777,10402.489793462682,10375.221614716382,10347.861893615978,10320.410630161383,10292.867824352592,10265.233476189702,3412.5025285575384,3403.2300509337797,{"$f":"+EE69+EE70","v":3391.9851621839011},3380.7052810293922,3369.3904074702918,3358.0405415065707,3346.6556831382295,3335.2358323653061,3323.7809891877337,3312.291153605579,3300.7663256188039,3289.2065052274093,3277.611692431421,3265.9818872308042,3254.3170896255956,3168.9423822714689,3153.8912742382277,3138.8401662049864,3123.7890581717456,3108.7379501385044,3093.6868421052632,3078.6357340720219,3063.5846260387816,3048.5335180055404,3033.4824099722996,3018.4313019390584,3003.3801939058176,2988.3290858725768,2973.2779778393356,2958.2268698060943,2943.1757617728535,2928.1246537396123,2913.0735457063711,2898.0224376731308,{"$f":"+FK69+FK70","v":2882.9713296398895},2867.9202216066483,2852.8691135734075,2837.8180055401667,2822.7668975069255,2807.7157894736847,2792.6646814404435,2777.6135734072022,2762.5624653739615,2747.5113573407202,2732.4602493074794,2717.4091412742387,2702.3580332409974,2687.3069252077562,2672.2558171745159,2657.2047091412746,2642.1536011080334,2627.1024930747926,2612.0513850415514,2597.0002770083101,2581.9491689750694,2566.8980609418286,2551.8469529085878,2536.7958448753466,2521.7447368421053,2506.693628808865,2491.6425207756238,2476.5914127423825,2461.5403047091418,2446.4891966759005,2431.4380886426593,2416.3869806094181,{"$f":"+GQ69+GQ70","v":2401.3358725761777},2386.2847645429365,2371.2336565096957,2356.1825484764545,2341.1314404432137,2326.0803324099729]
[]
[null,"Enfranchisements if all recruits were peregrines",null,null,null,null,{"$f":"G71*(1/(1-G41))","v":1979.992561983476},1985.5155537881719,1991.0694434491174,1996.6544909763243,2002.2709593053714,2007.9191143386729,2013.5992249874387,2019.3115632143533,2025.0564040769832,2030.8340257719246,2036.6447096797126,2042.4887404105009,2048.366405850531,2054.2779972094072,2060.2238090681899,2066.2041394283297,2072.2192897614541,2078.2695650600281,2084.3552738889007,2090.4767284377667,2096.6342445745495,2102.8281418997326,2109.0587438016582,2115.3263775128066,2121.6313741670929,2127.9740688581751,2135.5338657117672,2143.0993164730053,2150.6704723084349,2158.2473850039432,2165.8301069739982,2173.4186912713735,{"$f":"AM71*(1/(1-AM41))","v":2181.0131915967395},4377.2273246174773,4392.4403168678718,4407.6654713545413,4422.9029008647558,4438.1527195848639,4453.4150431217395,4468.6899885251496,4483.9776743103348,4499.2782204808063,4514.5917485521022,4529.9183815753286,4545.2582441618415,4560.611462507708,4575.9781644193226,4591.3584793388318,4606.7525383707289,4622.1604743083108,4637.58242166116,4653.0185166829733,4668.4688973997072,4683.9337036387997,4699.4130770583279,4714.9071611773907,4730.4161014064466,4745.940045078898,4761.4791414826586,4777.0335418929981,5489.2531967693994,5507.2590791796729,5525.2831044948789,5543.3254562856473,{"$f":"BS71*(1/(1-BS41))","v":5561.3863206076485},5579.4658860434647,5597.5643437459539,5615.6818874818755,5633.8187136770421,5651.9750214617561,5670.1510127178608,5688.3468921261046,5706.5628672150306,5724.799148410676,5743.055949087111,5761.3334856185556,5779.6319774319663,5797.9516470613908,5816.2927202028322,5834.6554257709413,6230.1202846137867,6266.6167384260107,6717.6396661784202,7173.5057041696973,7634.2220411336612,8099.7959705581379,8570.2348925995921,9045.5463160407744,9525.7378602912486,10010.817257431734,10500.792354304966,10995.671114652851,11495.461621300894,12000.172078393005,12509.810813676228,13024.386280836632,{"$f":"CY71*(1/(1-CY41))","v":13543.907061889704},14068.381869624754,14597.819550104627,15132.229085224459,15671.619595328912,16216.000341889308,16765.380730244739,16863.920386682512,16962.752165191112,17061.880021465397,17161.307982944356,17261.040150444151,17361.080699837774,17461.433883780152,16205.812553701111,16240.765388692773,16275.903886257665,16311.230654682111,16346.748351339234,16382.459683849151,16418.367411271749,16454.474345334878,16490.7833516961,16527.297351242916,17398.530464418222,17437.347251624171,17476.388975884765,17515.658952484704,17555.16056218126,17594.897252828538,5878.2908470166121,5891.6966713204383,{"$f":"EE71*(1/(1-EE41))","v":5901.8056851185083},5911.9558526975097,5922.1478022142037,5932.3821746745552,5942.6596242641454,5952.980818688663,5963.3464395247338,5973.7571825824389,5984.2137582783653,5994.716892021178,6005.2673246091599,6015.8658126403561,6026.5131289362871,5900.0397122153754,5903.8358828104756,5907.6734183154776,5911.5529985321882,5915.4753182405184,5919.4410876132933,5923.4510326449035,5927.5058955943841,5931.6064354434466,5935.7534283701016,5939.9476682384366,5944.1899671052633,5948.4811557442599,5952.8220841883431,5957.2136222910231,5961.6566603074853,5966.1521094962609,5970.7009027422919,5975.3039952023319,{"$f":"FK71*(1/(1-FK41))","v":5979.9623649735686},5984.6770137865242,5989.4489677231759,5994.2792779614419,5999.1690215471572,6004.1193021947111,6009.1312511176029,6014.2060278902372,6019.3448213423471,6024.548850487442,6029.8193654868883,6035.1576486511431,6040.5650154798759,6046.0428157427305,6051.5924346025986,6057.2152937833489,6062.9128527841349,6068.6866101423784,6074.5381047477931,6080.4689172098442,6086.4806712811805,6092.5750353397552,6098.7537239324729,6105.0184993833536,6111.371173469387,6117.8136091674287,6124.3477224756598,6130.9754843133906,6137.6989225031102,6144.52012383901,6151.4412362464082,6158.4644710367465,{"$f":"GQ71*(1/(1-GQ41))","v":6165.5921052631593},6172.8264841818627,6180.170023824995,6187.6252136907569,6195.1946195572509,6202.8808864265939]
[null,"For information only"]
[]
[]
["FLEETS"]
[]
["ACTUAL STRENGTH MODEL - identical for most formations"]
[null,"Paper strength (end of year)"]
[null,"Assumes linear change in strength between census points"]
[null,"Base",null,null,null,{"$f":"VLOOKUP(F20,$U$4:$V$6,2)*1000","v":25000},25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,{"$f":"VLOOKUP(AL20,$U$4:$V$6,2)*1000","v":25000},25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,{"$f":"VLOOKUP(BR20,$U$4:$V$6,2)*1000","v":25000},25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,{"$f":"VLOOKUP(CX20,$U$4:$V$6,2)*1000","v":25000},25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,{"$f":"VLOOKUP(ED20,$U$4:$V$6,2)*1000","v":25000},25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,{"$f":"VLOOKUP(FJ20,$U$4:$V$6,2)*1000","v":25000},25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,{"$f":"VLOOKUP(GP20,$U$4:$V$6,2)*1000","v":25000},25000,25000,25000,25000,25000,25000]
[null,"Increment",null,null,null,{"$f":"VLOOKUP(F20,$U$4:$W$6,3)*1000","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(AL20,$U$4:$W$6,3)*1000","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(BR20,$U$4:$W$6,3)*1000","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(CX20,$U$4:$W$6,3)*1000","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(ED20,$U$4:$W$6,3)*1000","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(FJ20,$U$4:$W$6,3)*1000","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(GP20,$U$4:$W$6,3)*1000","v":0},0,0,0,0,0,0]
[null,"Years",null,null,null,{"$f":"F20-VLOOKUP(F20,$U$4:$V$6,1)","v":0},1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,{"$f":"AL20-VLOOKUP(AL20,$U$4:$V$6,1)","v":32},33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,{"$f":"BR20-VLOOKUP(BR20,$U$4:$V$6,1)","v":64},65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,{"$f":"CX20-VLOOKUP(CX20,$U$4:$V$6,1)","v":96},97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,{"$f":"ED20-VLOOKUP(ED20,$U$4:$V$6,1)","v":128},129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,{"$f":"FJ20-VLOOKUP(FJ20,$U$4:$V$6,1)","v":160},161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,{"$f":"GP20-VLOOKUP(GP20,$U$4:$V$6,1)","v":192},193,194,195,196,197,0]
[null,"Paper strength Extrapolated",null,null,null,{"$f":"F82+F83*F84","v":25000},{"$f":"G82+G83*G84","v":25000},{"$f":"H82+H83*H84","v":25000},25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,{"$f":"BT82+BT83*BT84","v":25000},25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,{"$f":"EF82+EF83*EF84","v":25000},25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,25000,{"$f":"GR82+GR83*GR84","v":25000},25000,25000,25000,25000]
[null,"Actual:nominal strength",null,null,null,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89]
[null,"Actual strength",null,null,null,{"$f":"F85*F86","v":22250},{"$f":"G85*G86","v":22250},{"$f":"H85*H86","v":22250},22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,{"$f":"BT85*BT86","v":22250},22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,{"$f":"EF85*EF86","v":22250},22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,22250,{"$f":"GR85*GR86","v":22250},22250,22250,22250,22250]
[]
["CITIZENS v PEREGRINES MODEL"]
[null,"% of recruits who were citizens"]
[null,"Assumes linear growth between census points"]
[null,"Base",null,null,null,null,{"$f":"VLOOKUP(G$20,$U$13:$W$15,2)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(AM$20,$U$13:$W$15,2)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(BS$20,$U$13:$W$15,2)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(CY$20,$U$13:$W$15,2)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(EE$20,$U$13:$W$15,2)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(FK$20,$U$13:$W$15,2)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(GQ$20,$U$13:$W$15,2)","v":0},0,0,0,0,0]
[null,"Increment",null,null,null,null,{"$f":"VLOOKUP(G$20,$U$13:$W$15,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(AM$20,$U$13:$W$15,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(BS$20,$U$13:$W$15,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(CY$20,$U$13:$W$15,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(EE$20,$U$13:$W$15,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(FK$20,$U$13:$W$15,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(GQ$20,$U$13:$W$15,3)","v":0},0,0,0,0,0]
[null,"Years",null,null,null,null,{"$f":"G$20-VLOOKUP(G$20,$U$13:$W$15,1)","v":1},2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,{"$f":"AM$20-VLOOKUP(AM$20,$U$13:$W$15,1)","v":33},34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,{"$f":"BS$20-VLOOKUP(BS$20,$U$13:$W$15,1)","v":65},66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,{"$f":"CY$20-VLOOKUP(CY$20,$U$13:$W$15,1)","v":97},98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,{"$f":"EE$20-VLOOKUP(EE$20,$U$13:$W$15,1)","v":129},130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,{"$f":"FK$20-VLOOKUP(FK$20,$U$13:$W$15,1)","v":161},162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,{"$f":"GQ$20-VLOOKUP(GQ$20,$U$13:$W$15,1)","v":193},194,195,196,197,0]
[null,"Estimate",null,null,null,null,{"$f":"G92+G93*G94","v":0},{"$f":"H92+H93*H94","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"BT92+BT93*BT94","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"EF92+EF93*EF94","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"GR92+GR93*GR94","v":0},0,0,0,0]
[]
["ATTRITION MODEL - all bar first two lines identical for all formations"]
[null,"Term of service (ave)",null,null,null,null,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26,26,26,{"$f":"$U$10","v":26},26,26,26,26,26,26,26]
[null,"Stipendia at grant (ave)",null,null,null,null,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26]
[null,"Attrition to last service cohort (%)",null,null,null,null,{"$f":"((G98-1)/25)*$E$6","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"((AM98-1)/25)*$E$6","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"((BS98-1)/25)*$E$6","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"((CY98-1)/25)*$E$6","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"((EE98-1)/25)*$E$6","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"((FK98-1)/25)*$E$6","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"((GQ98-1)/25)*$E$6","v":0.5},0.5,0.5,0.5,0.5,0.5]
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[null,"Expansion",null,null,null,null,{"$f":"MAX(G87-F87,0)","v":0},{"$f":"MAX(H87-G87,0)","v":0},{"$f":"MAX(I87-H87,0)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"MAX(BU87-BT87,0)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"MAX(EG87-EF87,0)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"MAX(GS87-GR87,0)","v":0},0,0,0]
[null,"Total recruits this year",null,null,null,null,{"$f":"G102+G101","v":1141.0256410256411},{"$f":"H102+H101","v":1141.0256410256411},1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,{"$f":"BT102+BT101","v":1141.0256410256411},1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,{"$f":"EF102+EF101","v":1141.0256410256411},1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,{"$f":"GR102+GR101","v":1141.0256410256411},1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411]
[null,"Of whom peregrine recruits",null,null,null,null,{"$f":"+G103*(1-G95)","v":1141.0256410256411},{"$f":"+H103*(1-H95)","v":1141.0256410256411},1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,{"$f":"+BT103*(1-BT95)","v":1141.0256410256411},1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,{"$f":"+EF103*(1-EF95)","v":1141.0256410256411},1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,{"$f":"+GR103*(1-GR95)","v":1141.0256410256411},1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411]
[null,"Relevant peregrine recruit population for grants calc",null,null,null,null,{"$f":"IF(G99=\"na\",\"\",INDEX($G104:$GV104,MAX(G$20-(G99+14),1)))","v":1141.0256410256411},{"$f":"IF(H99=\"na\",\"\",INDEX($G104:$GV104,MAX(H$20-(H99+14),1)))","v":1141.0256410256411},{"$f":"IF(I99=\"na\",\"\",INDEX($G104:$GV104,MAX(I$20-(I99+14),1)))","v":1141.0256410256411},1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,{"$f":"IF(BT99=\"na\",\"\",INDEX($G104:$GV104,MAX(BT$20-(BT99+14),1)))","v":1141.0256410256411},1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,{"$f":"IF(EF99=\"na\",\"\",INDEX($G104:$GV104,MAX(EF$20-(EF99+14),1)))","v":1141.0256410256411},1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411,{"$f":"IF(GR99=\"na\",\"\",INDEX($G104:$GV104,MAX(GR$20-(GR99+14),1)))","v":1141.0256410256411},1141.0256410256411,1141.0256410256411,1141.0256410256411,1141.0256410256411]
[null,"Attrition to grant  (extrapolated)",null,null,null,null,{"$f":"MIN(IF(G99=\"na\",\"\",$E$6*(G99)/25),100%)","v":0.52},0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,{"$f":"MIN(IF(AM99=\"na\",\"\",$E$6*(AM99)/25),100%)","v":0.52},0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,{"$f":"MIN(IF(BS99=\"na\",\"\",$E$6*(BS99)/25),100%)","v":0.52},0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,{"$f":"MIN(IF(CY99=\"na\",\"\",$E$6*(CY99)/25),100%)","v":0.52},0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,{"$f":"MIN(IF(EE99=\"na\",\"\",$E$6*(EE99)/25),100%)","v":0.52},0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,{"$f":"MIN(IF(FK99=\"na\",\"\",$E$6*(FK99)/25),100%)","v":0.52},0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,0.52,{"$f":"MIN(IF(GQ99=\"na\",\"\",$E$6*(GQ99)/25),100%)","v":0.52},0.52,0.52,0.52,0.52,0.52]
[null,"Peregrine recruits surviving to grant",null,null,null,null,{"$f":"IF(G99=\"na\",\"\",(1-G106)*G105)","v":547.69230769230774},{"$f":"IF(H99=\"na\",\"\",(1-H106)*H105)","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,{"$f":"IF(BT99=\"na\",\"\",(1-BT106)*BT105)","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,{"$f":"IF(EF99=\"na\",\"\",(1-EF106)*EF105)","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,{"$f":"IF(GR99=\"na\",\"\",(1-GR106)*GR105)","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774]
[null,"Discharged veterans",null,null,null,null,{"$f":"G107","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,{"$f":"AM107","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,{"$f":"BS107","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,{"$f":"CY107","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,{"$f":"EE107","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,{"$f":"FK107","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,{"$f":"GQ107","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774]
[]
["FAMILY MODEL"]
[null,"Children per qualifying soldier - Italian fleets"]
[null,"Assumes a constant number in the pre- and post-Trajanic periods and linear increase under Trajan"]
[null,"Base",null,null,null,null,{"$f":"VLOOKUP(G$20,$Y$5:$AA$7,2)","v":0.26},0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,{"$f":"VLOOKUP(AM$20,$Y$5:$AA$7,2)","v":0.26},0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,{"$f":"VLOOKUP(BT$20,$Y$5:$AA$7,2)","v":0.26},0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,{"$f":"VLOOKUP(EF$20,$Y$5:$AA$7,2)","v":0.79},0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,{"$f":"VLOOKUP(GR$20,$Y$5:$AA$7,2)","v":0.79},0.79,0.79,0.79,0.79]
[null,"Increment",null,null,null,null,{"$f":"VLOOKUP(G$20,$Y$5:$AA$7,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(AM$20,$Y$5:$AA$7,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(BT$20,$Y$5:$AA$7,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,2.523809523809524E-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(EF$20,$Y$5:$AA$7,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(GR$20,$Y$5:$AA$7,3)","v":0},0,0,0,0]
[null,"Years",null,null,null,null,{"$f":"G20-VLOOKUP(G$20,$Y$5:$AA$7,1)","v":1},2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,{"$f":"AM20-VLOOKUP(AM$20,$Y$5:$AA$7,1)","v":33},34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,{"$f":"BS20-VLOOKUP(BS$20,$Y$5:$AA$7,1)","v":65},66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,{"$f":"CY20-VLOOKUP(CY$20,$Y$5:$AA$7,1)","v":15},16,17,18,19,20,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,{"$f":"EE20-VLOOKUP(EE$20,$Y$5:$AA$7,1)","v":26},27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,{"$f":"FK20-VLOOKUP(FK$20,$Y$5:$AA$7,1)","v":58},59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,{"$f":"GQ20-VLOOKUP(GQ$20,$Y$5:$AA$7,1)","v":90},91,92,93,94,95]
[null,"Estimate",null,null,null,null,{"$f":"G113+G114*G115","v":0.26},0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,{"$f":"BS113+BS114*BS115","v":0.26},0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.28523809523809524,0.31047619047619046,0.33571428571428574,0.36095238095238097,0.3861904761904762,0.41142857142857148,0.4366666666666667,0.46190476190476193,0.48714285714285716,0.51238095238095238,0.53761904761904766,0.56285714285714294,0.58809523809523812,0.6133333333333334,0.63857142857142857,0.66380952380952385,0.68904761904761913,0.7142857142857143,0.73952380952380958,0.76476190476190475,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,{"$f":"EE113+EE114*EE115","v":0.79},0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,0.79,{"$f":"GQ113+GQ114*GQ115","v":0.79},0.79,0.79,0.79,0.79,0.79]
[]
[null,"Children per qualifying soldier - provincial fleets",null,null,null,null,{"$f":"IF(G20>140,$AA$10*$Q$6,G65)","v":0.26},0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,{"$f":"IF(AM20>140,$AA$10*$Q$6,AM65)","v":0.26},0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,{"$f":"IF(BS20>140,$AA$10*$Q$6,BS65)","v":0.26},0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.34285714285714286,0.42571428571428571,0.50857142857142856,0.59142857142857141,0.67428571428571427,0.75714285714285712,0.84,0.92285714285714282,1.0057142857142858,1.0885714285714285,1.1714285714285713,1.2542857142857142,1.337142857142857,1.42,{"$f":"IF(CY20>140,$AA$10*$Q$6,CY65)","v":1.5028571428571429},1.5857142857142856,1.6685714285714284,1.7514285714285713,1.8342857142857143,1.917142857142857,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0.16,0.16,{"$f":"IF(EE20>140,$AA$10*$Q$6,EE65)","v":0.16},0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,{"$f":"IF(FK20>140,$AA$10*$Q$6,FK65)","v":0.16},0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,0.16,{"$f":"IF(GQ20>140,$AA$10*$Q$6,GQ65)","v":0.16},0.16,0.16,0.16,0.16,0.16]
[null,"Same as auxiliaries to 140, thereafter some % of the 140 level"]
[]
[null,"Weigted average children per qualifying soldier",null,null,null,null,{"$f":"+$AA$12*G116+(1-$AA$12)*G118","v":0.26},{"$f":"+$AA$12*H116+(1-$AA$12)*H118","v":0.26},0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,{"$f":"+$AA$12*BT116+(1-$AA$12)*BT118","v":0.26},0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.31404761904761902,0.36809523809523809,0.42214285714285715,0.47619047619047616,0.53023809523809518,0.5842857142857143,0.63833333333333331,0.69238095238095232,0.74642857142857144,0.80047619047619045,0.85452380952380946,0.90857142857142859,0.96261904761904749,1.0166666666666666,1.0707142857142857,1.1247619047619049,1.1788095238095238,1.2328571428571429,1.286904761904762,1.3409523809523809,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,1.395,0.47500000000000003,0.47500000000000003,0.47500000000000003,{"$f":"+$AA$12*EF116+(1-$AA$12)*EF118","v":0.47500000000000003},0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003,{"$f":"+$AA$12*GR116+(1-$AA$12)*GR118","v":0.47500000000000003},0.47500000000000003,0.47500000000000003,0.47500000000000003,0.47500000000000003]
[]
[]
["GRANTS MODEL"]
[null,"Scaling variable (%)",null,null,null,null,{"$f":"VLOOKUP(G$20,$E$12:$F$15,2)","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"VLOOKUP(AM$20,$E$12:$F$15,2)","v":0.5},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"VLOOKUP(BS$20,$E$12:$F$15,2)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"VLOOKUP(CY$20,$E$12:$F$15,2)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"VLOOKUP(EE$20,$E$12:$F$15,2)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"VLOOKUP(FK$20,$E$12:$F$15,2)","v":1},1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,{"$f":"VLOOKUP(GQ$20,$E$12:$F$15,2)","v":1},1,1,1,1,1]
[null,"Enfranchised soldiers",null,null,null,null,{"$f":"G107*G125","v":273.84615384615387},273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,273.84615384615387,{"$f":"AM107*AM125","v":273.84615384615387},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,{"$f":"BS107*BS125","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,{"$f":"CY107*CY125","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,{"$f":"EE107*EE125","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,{"$f":"FK107*FK125","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,{"$f":"GQ107*GQ125","v":547.69230769230774},547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774,547.69230769230774]
[null,"Enfranchised children (excluding children of citizens)",null,null,null,null,{"$f":"G126*G121","v":71.2},{"$f":"H126*H121","v":71.2},71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,71.2,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,{"$f":"BT126*BT121","v":142.4},142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,142.4,172.00146520146521,201.60293040293041,231.20439560439561,260.80586080586079,290.40732600732599,320.00879120879125,349.6102564102564,379.2117216117216,408.81318681318686,438.41465201465206,468.01611721611721,497.61758241758247,527.21904761904761,556.82051282051282,586.42197802197802,616.02344322344334,645.62490842490843,675.22637362637374,704.82783882783895,734.42930402930403,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,764.03076923076935,260.15384615384619,260.15384615384619,260.15384615384619,{"$f":"EF126*EF121","v":260.15384615384619},260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619,{"$f":"GR126*GR121","v":260.15384615384619},260.15384615384619,260.15384615384619,260.15384615384619,260.15384615384619]
[null,"Total enfranchisements",null,null,null,null,{"$f":"+G126+G127","v":345.04615384615386},345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,345.04615384615386,{"$f":"+AM126+AM127","v":345.04615384615386},690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,{"$f":"+BS126+BS127","v":690.09230769230771},690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,690.09230769230771,719.69377289377292,749.29523809523812,778.89670329670332,808.49816849816852,838.09963369963373,867.70109890109893,897.30256410256413,926.90402930402934,956.50549450549465,986.10695970695974,1015.7084249084249,1045.3098901098901,1074.9113553113552,1104.5128205128206,{"$f":"+CY126+CY127","v":1134.1142857142859},1163.715750915751,1193.317216117216,1222.9186813186816,1252.5201465201467,1282.1216117216118,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,1311.7230769230771,807.84615384615392,807.84615384615392,{"$f":"+EE126+EE127","v":807.84615384615392},807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,{"$f":"+FK126+FK127","v":807.84615384615392},807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,{"$f":"+GQ126+GQ127","v":807.84615384615392},807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392,807.84615384615392]
[]
[]
["LEGIONS"]
[]
["UNIT STRENGTH"]
[null,"Assumes linear growth from 69 to 99"]
[null,"Base",null,null,null,null,{"$f":"VLOOKUP(G$20,$AC$12:$AE$14,2)","v":4860},{"$f":"VLOOKUP(H$20,$AC$12:$AE$14,2)","v":4860},4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,{"$f":"VLOOKUP(BT$20,$AC$12:$AE$14,2)","v":4860},4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,{"$f":"VLOOKUP(EF$20,$AC$12:$AE$14,2)","v":5260},5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,{"$f":"VLOOKUP(GR$20,$AC$12:$AE$14,2)","v":5260},5260,5260,5260,5260]
[null,"Increment",null,null,null,null,{"$f":"VLOOKUP(G$20,$AC$12:$AE$14,3)","v":0},{"$f":"VLOOKUP(H$20,$AC$12:$AE$14,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,{"$f":"VLOOKUP(BT$20,$AC$12:$AE$14,3)","v":13.333333333333334},13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,13.333333333333334,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(EF$20,$AC$12:$AE$14,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(GR$20,$AC$12:$AE$14,3)","v":0},0,0,0,0]
[null,"Years",null,null,null,null,{"$f":"G20-VLOOKUP(G$20,$AC$12:$AE$14,1)","v":0},1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,{"$f":"AM20-VLOOKUP(AM$20,$AC$12:$AE$14,1)","v":32},33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,0,1,2,3,4,5,6,7,8,9,{"$f":"BS20-VLOOKUP(BS$20,$AC$12:$AE$14,1)","v":10},11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,0,1,2,3,4,5,6,7,8,9,10,11,{"$f":"CY20-VLOOKUP(CY$20,$AC$12:$AE$14,1)","v":12},13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,{"$f":"EE20-VLOOKUP(EE$20,$AC$12:$AE$14,1)","v":44},45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,{"$f":"FK20-VLOOKUP(FK$20,$AC$12:$AE$14,1)","v":76},77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,{"$f":"GQ20-VLOOKUP(GQ$20,$AC$12:$AE$14,1)","v":108},109,110,111,112,113]
[null,"Estimate",null,null,null,null,{"$f":"G135+G136*G137","v":4860},4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4873.333333333333,4886.666666666667,4900,4913.333333333333,4926.666666666667,4940,4953.333333333333,4966.666666666667,4980,{"$f":"BS135+BS136*BS137","v":4993.333333333333},5006.666666666667,5020,5033.333333333333,5046.666666666667,5060,5073.333333333333,5086.666666666667,5100,5113.333333333333,5126.666666666667,5140,5153.333333333333,5166.666666666667,5180,5193.333333333333,5206.666666666667,5220,5233.333333333333,5246.666666666667,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,{"$f":"EE135+EE136*EE137","v":5260},5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,{"$f":"GQ135+GQ136*GQ137","v":5260},5260,5260,5260,5260,5260]
[]
["ACTUAL STRENGTH MODEL"]
[null,"Paper strength (end of year)"]
[null,"Legions",null,null,null,null,{"$f":"VLOOKUP(G20,$AC$4:$AD$10,2)","v":25},25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,27,27,27,27,27,27,27,{"$f":"VLOOKUP(AM20,$AC$4:$AD$10,2)","v":27},27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,29,29,29,29,29,29,29,29,29,{"$f":"VLOOKUP(BS20,$AC$4:$AD$10,2)","v":29},29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,30,30,30,30,30,30,30,{"$f":"VLOOKUP(CY20,$AC$4:$AD$10,2)","v":30},30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,28,28,28,28,28,28,28,28,28,28,28,{"$f":"VLOOKUP(EE20,$AC$4:$AD$10,2)","v":28},28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,30,30,30,30,30,30,30,30,30,30,{"$f":"VLOOKUP(FK20,$AC$4:$AD$10,2)","v":30},30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,33,33,33,33,33,33,33,33,33,33,{"$f":"VLOOKUP(GQ20,$AC$4:$AD$10,2)","v":33},33,33,33,33,33]
[null,"Unit strength",null,null,null,null,{"$f":"+G138","v":4860},{"$f":"+H138","v":4860},4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4860,4873.333333333333,4886.666666666667,4900,4913.333333333333,4926.666666666667,4940,4953.333333333333,4966.666666666667,4980,4993.333333333333,{"$f":"+BT138","v":5006.666666666667},5020,5033.333333333333,5046.666666666667,5060,5073.333333333333,5086.666666666667,5100,5113.333333333333,5126.666666666667,5140,5153.333333333333,5166.666666666667,5180,5193.333333333333,5206.666666666667,5220,5233.333333333333,5246.666666666667,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,{"$f":"+EF138","v":5260},5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,5260,{"$f":"+GR138","v":5260},5260,5260,5260,5260]
[null,"Nominal strength",null,null,null,null,{"$f":"G142*G143","v":121500},{"$f":"H142*H143","v":121500},121500,121500,121500,121500,121500,121500,121500,121500,121500,121500,121500,121500,121500,121500,121500,121500,121500,121500,121500,121500,121500,121500,121500,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,131220,141326.66666666666,141713.33333333334,142100,142486.66666666666,142873.33333333334,143260,143646.66666666666,144033.33333333334,144420,144806.66666666666,{"$f":"BT142*BT143","v":145193.33333333334},145580,145966.66666666666,146353.33333333334,146740,147126.66666666666,147513.33333333334,147900,148286.66666666666,148673.33333333334,149060,149446.66666666666,149833.33333333334,150220,150606.66666666666,150993.33333333334,151380,151766.66666666666,152153.33333333334,152540,152540,152540,152540,152540,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,147280,147280,147280,147280,147280,147280,147280,147280,147280,147280,147280,147280,{"$f":"EF142*EF143","v":147280},147280,147280,147280,147280,147280,147280,147280,147280,147280,147280,147280,147280,147280,147280,147280,147280,147280,147280,147280,147280,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,157800,173580,173580,173580,173580,173580,173580,173580,173580,173580,173580,173580,{"$f":"GR142*GR143","v":173580},173580,173580,173580,173580]
[null,"Actual:nominal strength",null,null,null,null,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,0.89,{"$f":"$E$3","v":0.89},0.89,0.89,0.89,0.89,0.89]
[null,"Actual strength",null,null,null,{"$f":"G146","v":108135},{"$f":"G144*G145","v":108135},108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,108135,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,116785.8,125780.73333333332,126124.86666666668,126469,126813.13333333333,127157.26666666668,127501.40000000001,127845.53333333333,128189.66666666667,128533.8,{"$f":"BS144*BS145","v":128877.93333333332},129222.06666666668,129566.2,129910.33333333333,130254.46666666667,130598.6,130942.73333333332,131286.86666666667,131631,131975.13333333333,132319.26666666666,132663.4,133007.53333333333,133351.66666666669,133695.79999999999,134039.93333333332,134384.06666666668,134728.20000000001,135072.33333333331,135416.46666666667,135760.6,135760.6,135760.6,135760.6,135760.6,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,{"$f":"EE144*EE145","v":131079.20000000001},131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,131079.20000000001,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,140442,154486.20000000001,154486.20000000001,154486.20000000001,154486.20000000001,154486.20000000001,154486.20000000001,154486.20000000001,154486.20000000001,154486.20000000001,154486.20000000001,{"$f":"GQ144*GQ145","v":154486.20000000001},154486.20000000001,154486.20000000001,154486.20000000001,154486.20000000001,154486.20000000001]
[]
["CITIZENS v PEREGRINES MODEL"]
[null,"Peregines among legionary recruits (%)"]
[null,"Assumes linear growth between census points"]
[null,"Base",null,null,null,null,{"$f":"$AH$4","v":0.13},0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,{"$f":"$AH$4","v":0.13},0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,{"$f":"$AH$4","v":0.13},0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,{"$f":"$AH$4","v":0.13},0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,{"$f":"$AH$4","v":0.13},0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,{"$f":"$AH$4","v":0.13},0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,0.13,{"$f":"$AH$4","v":0.13},0.13,0.13,0.13,0.13,0.13]
[null,"Decrement",null,null,null,null,{"$f":"(G20-14)*$AH$6","v":3.2828282828282828E-4},6.5656565656565657E-4,9.848484848484849E-4,1.3131313131313131E-3,1.6414141414141414E-3,1.9696969696969698E-3,2.297979797979798E-3,2.6262626262626263E-3,2.9545454545454545E-3,3.2828282828282827E-3,3.6111111111111109E-3,3.9393939393939396E-3,4.2676767676767674E-3,4.5959595959595961E-3,4.9242424242424239E-3,5.2525252525252525E-3,5.5808080808080812E-3,5.909090909090909E-3,6.2373737373737376E-3,6.5656565656565654E-3,6.8939393939393941E-3,7.2222222222222219E-3,7.5505050505050506E-3,7.8787878787878792E-3,8.2070707070707079E-3,8.5353535353535348E-3,8.8636363636363635E-3,9.1919191919191921E-3,9.5202020202020208E-3,9.8484848484848477E-3,1.0176767676767676E-2,1.0505050505050505E-2,{"$f":"(AM20-14)*$AH$6","v":1.0833333333333334E-2},1.1161616161616162E-2,1.1489898989898989E-2,1.1818181818181818E-2,1.2146464646464647E-2,1.2474747474747475E-2,1.2803030303030302E-2,1.3131313131313131E-2,1.345959595959596E-2,1.3787878787878788E-2,1.4116161616161617E-2,1.4444444444444444E-2,1.4772727272727272E-2,1.5101010101010101E-2,1.542929292929293E-2,1.5757575757575758E-2,1.6085858585858585E-2,1.6414141414141416E-2,1.6742424242424243E-2,1.707070707070707E-2,1.73989898989899E-2,1.7727272727272727E-2,1.8055555555555554E-2,1.8383838383838384E-2,1.8712121212121211E-2,1.9040404040404042E-2,1.9368686868686869E-2,1.9696969696969695E-2,2.0025252525252526E-2,2.0353535353535353E-2,2.0681818181818183E-2,2.101010101010101E-2,{"$f":"(BS20-14)*$AH$6","v":2.1338383838383837E-2},2.1666666666666667E-2,2.1994949494949494E-2,2.2323232323232325E-2,2.2651515151515152E-2,2.2979797979797979E-2,2.3308080808080809E-2,2.3636363636363636E-2,2.3964646464646466E-2,2.4292929292929293E-2,2.462121212121212E-2,2.4949494949494951E-2,2.5277777777777777E-2,2.5606060606060604E-2,2.5934343434343435E-2,2.6262626262626262E-2,2.6590909090909092E-2,2.6919191919191919E-2,2.7247474747474746E-2,2.7575757575757576E-2,2.7904040404040403E-2,2.8232323232323234E-2,2.8560606060606061E-2,2.8888888888888888E-2,2.9217171717171718E-2,2.9545454545454545E-2,2.9873737373737375E-2,3.0202020202020202E-2,3.0530303030303029E-2,3.085858585858586E-2,3.1186868686868686E-2,3.1515151515151517E-2,{"$f":"(CY20-14)*$AH$6","v":3.184343434343434E-2},3.2171717171717171E-2,3.2500000000000001E-2,3.2828282828282832E-2,3.3156565656565655E-2,3.3484848484848485E-2,3.3813131313131316E-2,3.4141414141414139E-2,3.446969696969697E-2,3.47979797979798E-2,3.5126262626262623E-2,3.5454545454545454E-2,3.5782828282828284E-2,3.6111111111111108E-2,3.6439393939393938E-2,3.6767676767676769E-2,3.7095959595959599E-2,3.7424242424242422E-2,3.7752525252525253E-2,3.8080808080808083E-2,3.8409090909090907E-2,3.8737373737373737E-2,3.9065656565656567E-2,3.9393939393939391E-2,3.9722222222222221E-2,4.0050505050505052E-2,4.0378787878787882E-2,4.0707070707070706E-2,4.1035353535353536E-2,4.1363636363636366E-2,4.169191919191919E-2,4.202020202020202E-2,{"$f":"(EE20-14)*$AH$6","v":4.2348484848484851E-2},4.2676767676767674E-2,4.3005050505050504E-2,4.3333333333333335E-2,4.3661616161616158E-2,4.3989898989898989E-2,4.4318181818181819E-2,4.4646464646464649E-2,4.4974747474747473E-2,4.5303030303030303E-2,4.5631313131313134E-2,4.5959595959595957E-2,4.6287878787878788E-2,4.6616161616161618E-2,4.6944444444444441E-2,4.7272727272727272E-2,4.7601010101010102E-2,4.7929292929292933E-2,4.8257575757575756E-2,4.8585858585858586E-2,4.8914141414141417E-2,4.924242424242424E-2,4.9570707070707071E-2,4.9898989898989901E-2,5.0227272727272725E-2,5.0555555555555555E-2,5.0883838383838385E-2,5.1212121212121209E-2,5.1540404040404039E-2,5.186868686868687E-2,5.21969696969697E-2,5.2525252525252523E-2,{"$f":"(FK20-14)*$AH$6","v":5.2853535353535354E-2},5.3181818181818184E-2,5.3510101010101008E-2,5.3838383838383838E-2,5.4166666666666669E-2,5.4494949494949492E-2,5.4823232323232322E-2,5.5151515151515153E-2,5.5479797979797983E-2,5.5808080808080807E-2,5.6136363636363637E-2,5.6464646464646467E-2,5.6792929292929291E-2,5.7121212121212121E-2,5.7449494949494952E-2,5.7777777777777775E-2,5.8106060606060606E-2,5.8434343434343436E-2,5.8762626262626259E-2,5.909090909090909E-2,5.941919191919192E-2,5.9747474747474751E-2,6.0075757575757574E-2,6.0404040404040404E-2,6.0732323232323235E-2,6.1060606060606058E-2,6.1388888888888889E-2,6.1717171717171719E-2,6.2045454545454543E-2,6.2373737373737373E-2,6.2702020202020203E-2,6.3030303030303034E-2,{"$f":"(GQ20-14)*$AH$6","v":6.3358585858585864E-2},6.3686868686868681E-2,6.4015151515151511E-2,6.4343434343434341E-2,6.4671717171717172E-2,6.5000000000000002E-2]
[null,"Estimate",null,null,null,null,{"$f":"+G151-G152","v":0.12967171717171719},{"$f":"+H151-H152","v":0.12934343434343434},0.12901515151515153,0.12868686868686868,0.12835858585858587,0.12803030303030302,0.12770202020202021,0.12737373737373739,0.12704545454545454,0.12671717171717173,0.12638888888888888,0.12606060606060607,0.12573232323232325,0.12540404040404041,0.12507575757575759,0.12474747474747475,0.12441919191919193,0.1240909090909091,0.12376262626262627,0.12343434343434344,0.12310606060606061,0.12277777777777778,0.12244949494949495,0.12212121212121213,0.1217929292929293,0.12146464646464647,0.12113636363636364,0.12080808080808081,0.12047979797979798,0.12015151515151516,0.11982323232323233,0.1194949494949495,0.11916666666666667,0.11883838383838384,0.11851010101010101,0.11818181818181819,0.11785353535353536,0.11752525252525253,0.1171969696969697,0.11686868686868687,0.11654040404040404,0.11621212121212121,0.11588383838383839,0.11555555555555556,0.11522727272727273,0.1148989898989899,0.11457070707070707,0.11424242424242424,0.11391414141414141,0.1135858585858586,0.11325757575757577,0.11292929292929293,0.1126010101010101,0.11227272727272727,0.11194444444444446,0.11161616161616161,0.1112878787878788,0.11095959595959597,0.11063131313131314,0.11030303030303031,0.10997474747474748,0.10964646464646466,0.10931818181818181,0.108989898989899,0.10866161616161617,{"$f":"+BT151-BT152","v":0.10833333333333334},0.10800505050505051,0.10767676767676768,0.10734848484848486,0.10702020202020203,0.1066919191919192,0.10636363636363637,0.10603535353535354,0.10570707070707071,0.10537878787878788,0.10505050505050506,0.10472222222222223,0.1043939393939394,0.10406565656565657,0.10373737373737374,0.10340909090909091,0.10308080808080808,0.10275252525252526,0.10242424242424243,0.1020959595959596,0.10176767676767677,0.10143939393939394,0.10111111111111112,0.10078282828282828,0.10045454545454546,0.10012626262626263,9.9797979797979802E-2,9.9469696969696972E-2,9.9141414141414141E-2,9.8813131313131325E-2,9.8484848484848481E-2,9.8156565656565664E-2,9.7828282828282834E-2,9.7500000000000003E-2,9.7171717171717173E-2,9.6843434343434343E-2,9.6515151515151526E-2,9.6186868686868682E-2,9.5858585858585865E-2,9.5530303030303035E-2,9.5202020202020204E-2,9.4873737373737388E-2,9.4545454545454544E-2,9.4217171717171727E-2,9.3888888888888897E-2,9.3560606060606066E-2,9.3232323232323236E-2,9.2904040404040406E-2,9.2575757575757589E-2,9.2247474747474745E-2,9.1919191919191928E-2,9.1590909090909098E-2,9.1262626262626267E-2,9.0934343434343437E-2,9.0606060606060607E-2,9.027777777777779E-2,8.9949494949494946E-2,8.9621212121212129E-2,8.9292929292929299E-2,8.8964646464646469E-2,8.8636363636363638E-2,8.8308080808080808E-2,8.7979797979797991E-2,8.7651515151515147E-2,{"$f":"+EF151-EF152","v":8.732323232323233E-2},8.69949494949495E-2,8.666666666666667E-2,8.6338383838383853E-2,8.6010101010101009E-2,8.5681818181818192E-2,8.5353535353535348E-2,8.5025252525252532E-2,8.4696969696969701E-2,8.4368686868686871E-2,8.4040404040404054E-2,8.371212121212121E-2,8.3383838383838393E-2,8.3055555555555563E-2,8.2727272727272733E-2,8.2398989898989902E-2,8.2070707070707072E-2,8.1742424242424255E-2,8.1414141414141411E-2,8.1085858585858595E-2,8.0757575757575764E-2,8.0429292929292934E-2,8.0101010101010103E-2,7.9772727272727273E-2,7.9444444444444456E-2,7.9116161616161612E-2,7.8787878787878796E-2,7.8459595959595965E-2,7.8131313131313135E-2,7.7803030303030304E-2,7.7474747474747474E-2,7.7146464646464658E-2,7.6818181818181813E-2,7.6489898989898997E-2,7.6161616161616166E-2,7.5833333333333336E-2,7.5505050505050519E-2,7.5176767676767675E-2,7.4848484848484859E-2,7.4520202020202014E-2,7.4191919191919198E-2,7.3863636363636367E-2,7.3535353535353537E-2,7.3207070707070721E-2,7.2878787878787876E-2,7.255050505050506E-2,7.2222222222222229E-2,7.1893939393939399E-2,7.1565656565656569E-2,7.1237373737373738E-2,7.0909090909090922E-2,7.0580808080808077E-2,7.0252525252525261E-2,6.992424242424243E-2,6.95959595959596E-2,6.926767676767677E-2,6.8939393939393939E-2,6.8611111111111123E-2,6.8282828282828278E-2,6.7954545454545462E-2,6.7626262626262632E-2,6.7297979797979801E-2,6.6969696969696971E-2,6.664141414141414E-2,{"$f":"+GR151-GR152","v":6.6313131313131324E-2},6.5984848484848493E-2,6.5656565656565663E-2,6.5328282828282833E-2,6.5000000000000002E-2]
[]
["ATTRITION MODEL"]
[null,"Term of service",null,null,null,null,{"$f":"VLOOKUP(G20,$AC$16:$AD$17,2)","v":20},20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,{"$f":"VLOOKUP(AM20,$AC$16:$AD$17,2)","v":20},20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,{"$f":"VLOOKUP(BS20,$AC$16:$AD$17,2)","v":20},20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,25,25,25,25,25,25,25,25,25,25,25,{"$f":"VLOOKUP(CY20,$AC$16:$AD$17,2)","v":25},25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,{"$f":"VLOOKUP(EE20,$AC$16:$AD$17,2)","v":25},25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,{"$f":"VLOOKUP(FK20,$AC$16:$AD$17,2)","v":25},25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,{"$f":"VLOOKUP(GQ20,$AC$16:$AD$17,2)","v":25},25,25,25,25,25]
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[null,"Total recruits this year",null,null,null,null,{"$f":"G160+G159","v":6674.9999999999991},{"$f":"H160+H159","v":6674.9999999999991},6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,15859.800000000003,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,16759.176131687229,8129.6189300411788,8150.8617283950434,8172.1045267489681,8193.3473251028918,8214.5901234567864,8235.832921810681,8257.0757201646193,8278.3185185185157,8299.5613168724085,{"$f":"BT160+BT159","v":8320.804115226365},8342.0469135802286,8363.2897119341524,8384.5325102880779,8405.7753086419725,8427.0181069958671,8448.2609053498054,8469.5037037037,8490.7465020576092,8511.9893004115183,8533.2320987654275,8554.4748971193385,8575.7176954732786,8596.9604938271277,8618.203292181066,8639.4460905350061,8660.6888888888861,8681.9316872427644,8703.1744855967336,8724.4172839506136,7145.2947368421055,7145.2947368421055,7145.2947368421055,7145.2947368421055,12073.084210526311,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,{"$f":"EF160+EF159","v":6898.9052631578952},6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,16754.484210526305,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,22175.052631578961,8130.8526315789477,8130.8526315789477,8130.8526315789477,8130.8526315789477,8130.8526315789477,8130.8526315789477,8130.8526315789477,8130.8526315789477,8130.8526315789477,8130.8526315789477,{"$f":"GR160+GR159","v":8130.8526315789477},8130.8526315789477,8130.8526315789477,8130.8526315789477,8130.8526315789477]
[null,"Of whom peregrine recruits",null,null,null,null,{"$f":"+G161*G153","v":865.55871212121212},{"$f":"+H161*H153","v":863.36742424242414},861.17613636363637,858.98484848484838,856.79356060606051,854.60227272727252,852.41098484848476,850.219696969697,848.02840909090901,845.83712121212113,843.64583333333314,841.45454545454538,839.26325757575762,837.07196969696963,834.88068181818176,832.68939393939377,830.49810606060601,828.30681818181813,826.11553030303025,823.92424242424238,821.73295454545439,819.54166666666652,817.35037878787864,815.15909090909088,812.967803030303,1926.4050000000004,873.27204545454538,870.9054545454544,868.53886363636354,866.17227272727268,863.80568181818182,861.43909090909085,859.07249999999988,856.70590909090902,854.33931818181804,851.9727272727273,849.60613636363632,847.23954545454535,844.87295454545449,842.50636363636352,840.13977272727266,837.77318181818168,835.40659090909094,833.04,830.67340909090899,828.30681818181813,825.94022727272716,823.5736363636363,821.20704545454532,818.84045454545446,816.4738636363636,814.10727272727263,811.74068181818177,809.3740909090908,807.00749999999994,1870.5949116681199,904.72804607806768,904.41632410524801,904.09065484058658,903.75103828407657,903.3974744357148,903.02996329550456,902.6485048634504,902.25309913954334,901.84374612378724,{"$f":"+BT161*BT153","v":901.42044581618961},900.98319821673329,900.53200332543497,900.06686114228842,899.58777166728999,899.09473490044297,898.58775084175204,898.06681949120798,897.53194084881693,896.98311491457741,896.42034168848943,895.84362117055298,895.25295336077113,894.64833825913115,894.02977586565203,893.39726618032444,892.75080920314224,892.09040493411135,891.41605337324131,890.72775452051349,727.16004518872944,724.81436762360454,722.46869005847964,720.12301249335462,1212.7961866028704,740.10171451355666,737.67515151515158,735.24858851674639,732.82202551834132,730.39546251993625,727.96889952153106,725.5423365231261,723.11577352472091,720.68921052631583,718.26264752791064,715.83608452950557,713.40952153110061,710.98295853269531,708.55639553429035,706.12983253588516,703.70326953748008,701.27670653907512,698.85014354066982,696.42358054226486,693.99701754385967,691.5704545454546,689.14389154704952,686.71732854864433,684.29076555023937,681.86420255183407,679.43763955342911,677.01107655502403,629.61221265284428,627.34742052099955,625.08262838915471,622.81783625731009,620.55304412546525,618.28825199362052,616.02345986177579,613.75866772993095,611.49387559808622,609.22908346624138,606.96429133439676,604.69949920255181,{"$f":"+EF161*EF153","v":602.43470707070719},600.16991493886235,597.90512280701762,595.64033067517289,593.37553854332805,591.11074641148332,588.84595427963848,586.58116214779386,584.31637001594902,582.05157788410429,579.78678575225956,577.52199362041472,575.25720148856999,572.99240935672526,570.72761722488042,568.46282509303569,566.19803296119085,563.93324082934623,561.66844869750139,559.40365656565666,557.13886443381193,1347.5513184476335,592.08137161084528,589.65480861244021,587.22824561403513,584.80168261562994,582.37511961722498,579.94855661881979,577.52199362041472,575.09543062200953,572.66886762360446,570.24230462519949,567.81574162679419,565.38917862838923,562.96261562998404,560.53605263157897,558.10948963317401,555.68292663476871,553.25636363636374,550.82980063795844,548.40323763955348,545.97667464114841,543.55011164274322,541.12354864433826,538.69698564593295,536.27042264752799,533.84385964912292,531.41729665071773,528.99073365231266,526.56417065390747,524.13760765550251,521.71104465709732,519.28448165869224,1550.5737559808624,565.87449122807027,563.20527192982456,560.53605263157897,557.86683333333349,555.19761403508767,552.52839473684219,549.85917543859659,547.18995614035089,544.52073684210529,541.8515175438597,{"$f":"+GR161*GR153","v":539.18229824561411},536.51307894736851,533.84385964912292,531.17464035087721,528.50542105263162]
[]
[null,"Relevant recruit population for grants to children calc",null,null,null,null,{"$f":"IF(G157=\"na\",\"\",INDEX($G162:$GV162,MAX(G$20-(G157+14),1)))","v":865.55871212121212},{"$f":"IF(H157=\"na\",\"\",INDEX($G162:$GV162,MAX(H$20-(H157+14),1)))","v":865.55871212121212},865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,865.55871212121212,863.36742424242414,861.17613636363637,858.98484848484838,856.79356060606051,854.60227272727252,852.41098484848476,850.219696969697,848.02840909090901,845.83712121212113,843.64583333333314,841.45454545454538,839.26325757575762,837.07196969696963,834.88068181818176,832.68939393939377,830.49810606060601,828.30681818181813,826.11553030303025,823.92424242424238,821.73295454545439,819.54166666666652,817.35037878787864,815.15909090909088,812.967803030303,1926.4050000000004,873.27204545454538,870.9054545454544,868.53886363636354,866.17227272727268,863.80568181818182,861.43909090909085,859.07249999999988,856.70590909090902,854.33931818181804,851.9727272727273,849.60613636363632,847.23954545454535,844.87295454545449,842.50636363636352,840.13977272727266,837.77318181818168,835.40659090909094,833.04,830.67340909090899,{"$f":"IF(BT157=\"na\",\"\",INDEX($G162:$GV162,MAX(BT$20-(BT157+14),1)))","v":828.30681818181813},825.94022727272716,823.5736363636363,821.20704545454532,818.84045454545446,816.4738636363636,814.10727272727263,811.74068181818177,809.3740909090908,807.00749999999994,1870.5949116681199,904.72804607806768,904.41632410524801,904.09065484058658,903.75103828407657,903.3974744357148,903.02996329550456,902.6485048634504,902.25309913954334,901.84374612378724,903.3974744357148,903.02996329550456,902.6485048634504,902.25309913954334,901.84374612378724,901.42044581618961,900.98319821673329,900.53200332543497,900.06686114228842,899.58777166728999,899.09473490044297,898.58775084175204,898.06681949120798,897.53194084881693,896.98311491457741,896.42034168848943,895.84362117055298,895.25295336077113,894.64833825913115,894.02977586565203,893.39726618032444,892.75080920314224,892.09040493411135,891.41605337324131,890.72775452051349,727.16004518872944,724.81436762360454,722.46869005847964,720.12301249335462,1212.7961866028704,740.10171451355666,737.67515151515158,735.24858851674639,732.82202551834132,730.39546251993625,727.96889952153106,725.5423365231261,723.11577352472091,720.68921052631583,718.26264752791064,715.83608452950557,713.40952153110061,710.98295853269531,708.55639553429035,{"$f":"IF(EF157=\"na\",\"\",INDEX($G162:$GV162,MAX(EF$20-(EF157+14),1)))","v":706.12983253588516},703.70326953748008,701.27670653907512,698.85014354066982,696.42358054226486,693.99701754385967,691.5704545454546,689.14389154704952,686.71732854864433,684.29076555023937,681.86420255183407,679.43763955342911,677.01107655502403,629.61221265284428,627.34742052099955,625.08262838915471,622.81783625731009,620.55304412546525,618.28825199362052,616.02345986177579,613.75866772993095,611.49387559808622,609.22908346624138,606.96429133439676,604.69949920255181,602.43470707070719,600.16991493886235,597.90512280701762,595.64033067517289,593.37553854332805,591.11074641148332,588.84595427963848,586.58116214779386,584.31637001594902,582.05157788410429,579.78678575225956,577.52199362041472,575.25720148856999,572.99240935672526,570.72761722488042,568.46282509303569,566.19803296119085,563.93324082934623,561.66844869750139,559.40365656565666,557.13886443381193,1347.5513184476335,592.08137161084528,589.65480861244021,587.22824561403513,584.80168261562994,582.37511961722498,579.94855661881979,577.52199362041472,575.09543062200953,572.66886762360446,570.24230462519949,567.81574162679419,565.38917862838923,562.96261562998404,560.53605263157897,558.10948963317401,555.68292663476871,553.25636363636374,{"$f":"IF(GR157=\"na\",\"\",INDEX($G162:$GV162,MAX(GR$20-(GR157+14),1)))","v":550.82980063795844},548.40323763955348,545.97667464114841,543.55011164274322,541.12354864433826]
[null,"Attrition to grant  (extrapolated)",null,null,null,null,{"$f":"MIN(IF(G157=\"na\",\"\",$E$6*(G157)/25),100%)","v":0.4},0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,{"$f":"MIN(IF(AM157=\"na\",\"\",$E$6*(AM157)/25),100%)","v":0.4},0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,{"$f":"MIN(IF(BS157=\"na\",\"\",$E$6*(BS157)/25),100%)","v":0.4},0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"MIN(IF(CY157=\"na\",\"\",$E$6*(CY157)/25),100%)","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"MIN(IF(EE157=\"na\",\"\",$E$6*(EE157)/25),100%)","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"MIN(IF(FK157=\"na\",\"\",$E$6*(FK157)/25),100%)","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"MIN(IF(GQ157=\"na\",\"\",$E$6*(GQ157)/25),100%)","v":0.5},0.5,0.5,0.5,0.5,0.5]
[null,"Peregrine recruits surviving to grant to children",null,null,null,null,{"$f":"IF(G157=\"na\",\"\",(1-G165)*G164)","v":519.33522727272725},519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,519.33522727272725,518.02045454545441,516.7056818181818,515.39090909090896,514.07613636363624,512.76136363636351,511.44659090909084,510.13181818181818,508.81704545454539,507.50227272727267,506.18749999999989,504.87272727272722,{"$f":"IF(AM157=\"na\",\"\",(1-AM165)*AM164)","v":503.55795454545455},502.24318181818177,500.92840909090904,499.61363636363626,498.29886363636359,496.98409090909087,495.66931818181814,494.35454545454542,493.03977272727263,491.72499999999991,490.41022727272718,489.09545454545452,487.78068181818179,1155.8430000000003,523.96322727272718,522.54327272727267,521.12331818181815,519.70336363636363,518.28340909090912,516.86345454545449,515.44349999999986,514.02354545454534,512.60359090909083,511.18363636363637,509.76368181818179,508.34372727272716,506.92377272727265,505.50381818181808,504.08386363636356,502.66390909090899,501.24395454545453,499.82399999999996,{"$f":"IF(BS157=\"na\",\"\",(1-BS165)*BS164)","v":498.40404545454538},496.98409090909087,495.56413636363629,494.14418181818178,492.72422727272715,491.30427272727263,489.88431818181812,488.46436363636354,487.04440909090903,485.62445454545446,484.20449999999994,1122.356947000872,542.83682764684056,542.64979446314874,542.45439290435195,542.25062297044587,542.03848466142881,541.81797797730269,541.58910291807024,541.351859483726,541.10624767427237,451.6987372178574,451.51498164775228,451.3242524317252,451.12654956977167,450.92187306189362,450.71022290809481,450.49159910836664,450.26600166271749,450.03343057114421,449.79388583364499,449.54736745022149,{"$f":"IF(CY157=\"na\",\"\",(1-CY165)*CY164)","v":449.29387542087602},449.03340974560399,448.76597042440847,448.49155745728871,448.21017084424471,447.92181058527649,447.62647668038557,447.32416912956558,447.01488793282601,446.69863309016222,446.37540460157112,446.04520246705567,445.70802668662066,445.36387726025674,363.58002259436472,362.40718381180227,361.23434502923982,360.06150624667731,606.39809330143521,370.05085725677833,368.83757575757579,367.6242942583732,366.41101275917066,365.19773125996812,363.98444976076553,362.77116826156305,361.55788676236045,360.34460526315792,359.13132376395532,357.91804226475278,356.7047607655503,355.49147926634765,{"$f":"IF(EE157=\"na\",\"\",(1-EE165)*EE164)","v":354.27819776714517},353.06491626794258,351.85163476874004,350.63835326953756,349.42507177033491,348.21179027113243,346.99850877192983,345.7852272727273,344.57194577352476,343.35866427432217,342.14538277511969,340.93210127591703,339.71881977671455,338.50553827751202,314.80610632642214,313.67371026049977,312.54131419457735,311.40891812865505,310.27652206273262,309.14412599681026,308.0117299308879,306.87933386496547,305.74693779904311,304.61454173312069,303.48214566719838,302.3497496012759,301.2173535353536,300.08495746943117,298.95256140350881,297.82016533758645,296.68776927166402,295.55537320574166,{"$f":"IF(FK157=\"na\",\"\",(1-FK165)*FK164)","v":294.42297713981924},293.29058107389693,292.15818500797451,291.02578894205215,289.89339287612978,288.76099681020736,287.628600744285,286.49620467836263,285.36380861244021,284.23141254651784,283.09901648059542,281.96662041467312,280.83422434875069,279.70182828282833,278.56943221690597,673.77565922381677,296.04068580542264,294.8274043062201,293.61412280701757,292.40084130781497,291.18755980861249,289.9742783094099,288.76099681020736,287.54771531100477,286.33443381180223,285.12115231259975,283.9078708133971,282.69458931419462,281.48130781499202,280.26802631578948,279.054744816587,277.84146331738435,{"$f":"IF(GQ157=\"na\",\"\",(1-GQ165)*GQ164)","v":276.62818181818187},275.41490031897922,274.20161881977674,272.9883373205742,271.77505582137161,270.56177432216913]
[]
[null,"Relevant recruit population for veterans calc",null,null,null,null,{"$f":"IF(G157=\"na\",\"\",INDEX($G161:$GV161,MAX(G$20-(G157+14),1)))","v":6674.9999999999991},6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,{"$f":"IF(AM157=\"na\",\"\",INDEX($G161:$GV161,MAX(AM$20-(AM157+14),1)))","v":6674.9999999999991},6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,6674.9999999999991,15859.800000000003,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,{"$f":"IF(BS157=\"na\",\"\",INDEX($G161:$GV161,MAX(BS$20-(BS157+14),1)))","v":7208.9999999999991},7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,7208.9999999999991,16759.176131687229,8129.6189300411788,8150.8617283950434,8172.1045267489681,8193.3473251028918,8214.5901234567864,8235.832921810681,8257.0757201646193,8278.3185185185157,8299.5613168724085,8214.5901234567864,8235.832921810681,8257.0757201646193,8278.3185185185157,8299.5613168724085,8320.804115226365,8342.0469135802286,8363.2897119341524,8384.5325102880779,8405.7753086419725,8427.0181069958671,{"$f":"IF(CY157=\"na\",\"\",INDEX($G161:$GV161,MAX(CY$20-(CY157+14),1)))","v":8448.2609053498054},8469.5037037037,8490.7465020576092,8511.9893004115183,8533.2320987654275,8554.4748971193385,8575.7176954732786,8596.9604938271277,8618.203292181066,8639.4460905350061,8660.6888888888861,8681.9316872427644,8703.1744855967336,8724.4172839506136,7145.2947368421055,7145.2947368421055,7145.2947368421055,7145.2947368421055,12073.084210526311,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,{"$f":"IF(EE157=\"na\",\"\",INDEX($G161:$GV161,MAX(EE$20-(EE157+14),1)))","v":7391.6842105263158},7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,{"$f":"IF(FK157=\"na\",\"\",INDEX($G161:$GV161,MAX(FK$20-(FK157+14),1)))","v":6898.9052631578952},6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,6898.9052631578952,16754.484210526305,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,{"$f":"IF(GQ157=\"na\",\"\",INDEX($G161:$GV161,MAX(GQ$20-(GQ157+14),1)))","v":7391.6842105263158},7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158,7391.6842105263158]
[null,"Attrition to discharge (extrapolated)",null,null,null,null,{"$f":"+(G156/25)*$E$6","v":0.4},0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,{"$f":"+(AM156/25)*$E$6","v":0.4},0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,{"$f":"+(BS156/25)*$E$6","v":0.4},0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.4,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"+(CY156/25)*$E$6","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"+(EE156/25)*$E$6","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"+(FK156/25)*$E$6","v":0.5},0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,{"$f":"+(GQ156/25)*$E$6","v":0.5},0.5,0.5,0.5,0.5,0.5]
[null,"Discharged veterans",null,null,null,null,{"$f":"G168*(1-G169)","v":4004.9999999999991},{"$f":"H168*(1-H169)","v":4004.9999999999991},4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,4004.9999999999991,9515.880000000001,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,{"$f":"BT168*(1-BT169)","v":4325.3999999999996},4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,4325.3999999999996,10055.505679012336,4877.7713580247073,4890.5170370370261,4903.2627160493803,4916.0083950617345,4928.7540740740715,4941.4997530864084,4954.2454320987717,4966.9911111111096,4979.7367901234447,4107.2950617283932,4117.9164609053405,4128.5378600823096,4139.1592592592579,4149.7806584362042,4160.4020576131825,4171.0234567901143,4181.6448559670762,4192.266255144039,4202.8876543209863,4213.5090534979336,4224.1304526749027,4234.75185185185,4245.3732510288046,4255.9946502057592,4266.6160493827138,4277.2374485596692,4287.8588477366393,4298.4802469135639,4309.101646090533,4319.723045267503,4330.3444444444431,4340.9658436213822,4351.5872427983668,4362.2086419753068,3572.6473684210528,3572.6473684210528,3572.6473684210528,3572.6473684210528,6036.5421052631555,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,{"$f":"EF168*(1-EF169)","v":3695.8421052631579},3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,3449.4526315789476,8377.2421052631526,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579,{"$f":"GR168*(1-GR169)","v":3695.8421052631579},3695.8421052631579,3695.8421052631579,3695.8421052631579,3695.8421052631579]
[]
["FAMILY MODEL"]
[null,"Children per qualifying soldier"]
[null,"Assumes a constant number in the pre- and post-Trajanic periods and linear increase under Trajan"]
[null,"Base",null,null,null,null,{"$f":"VLOOKUP(G$20,$AF$13:$AH$15,2)","v":0.26},{"$f":"VLOOKUP(H$20,$AF$13:$AH$15,2)","v":0.26},0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,{"$f":"VLOOKUP(BT$20,$AF$13:$AH$15,2)","v":0.26},0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,{"$f":"VLOOKUP(EF$20,$AF$13:$AH$15,2)","v":2},2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,{"$f":"VLOOKUP(GR$20,$AF$13:$AH$15,2)","v":2},2,2,2,2]
[null,"Increment",null,null,null,null,{"$f":"VLOOKUP(G$20,$AF$13:$AH$15,3)","v":0},{"$f":"VLOOKUP(H$20,$AF$13:$AH$15,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(BT$20,$AF$13:$AH$15,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,8.2857142857142851E-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(EF$20,$AF$13:$AH$15,3)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"VLOOKUP(GR$20,$AF$13:$AH$15,3)","v":0},0,0,0,0]
[null,"Years",null,null,null,null,{"$f":"G20-VLOOKUP(G$20,$AF$13:$AH$15,1)","v":1},2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,{"$f":"AM20-VLOOKUP(AM$20,$AF$13:$AH$15,1)","v":33},34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,{"$f":"BS20-VLOOKUP(BS$20,$AF$13:$AH$15,1)","v":65},66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,{"$f":"CY20-VLOOKUP(CY$20,$AF$13:$AH$15,1)","v":15},16,17,18,19,20,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,{"$f":"EE20-VLOOKUP(EE$20,$AF$13:$AH$15,1)","v":26},27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,{"$f":"FK20-VLOOKUP(FK$20,$AF$13:$AH$15,1)","v":58},59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,{"$f":"GQ20-VLOOKUP(GQ$20,$AF$13:$AH$15,1)","v":90},91,92,93,94,95]
[null,"Estimate",null,null,null,null,{"$f":"G175+G176*G177","v":0.26},0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,{"$f":"BS175+BS176*BS177","v":0.26},0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.26,0.34285714285714286,0.42571428571428571,0.50857142857142856,0.59142857142857141,0.67428571428571427,0.75714285714285712,0.84,0.92285714285714282,1.0057142857142858,1.0885714285714285,1.1714285714285713,1.2542857142857142,1.337142857142857,1.42,1.5028571428571429,1.5857142857142856,1.6685714285714284,1.7514285714285713,1.8342857142857143,1.917142857142857,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,{"$f":"EE175+EE176*EE177","v":2},2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,{"$f":"GQ175+GQ176*GQ177","v":2},2,2,2,2,2]
["GRANTS MODEL"]
[null,"Enfranchised recruits",null,null,null,null,{"$f":"+G162","v":865.55871212121212},{"$f":"+H161*H153","v":863.36742424242414},861.17613636363637,858.98484848484838,856.79356060606051,854.60227272727252,852.41098484848476,850.219696969697,848.02840909090901,845.83712121212113,843.64583333333314,841.45454545454538,839.26325757575762,837.07196969696963,834.88068181818176,832.68939393939377,830.49810606060601,828.30681818181813,826.11553030303025,823.92424242424238,821.73295454545439,819.54166666666652,817.35037878787864,815.15909090909088,812.967803030303,1926.4050000000004,873.27204545454538,870.9054545454544,868.53886363636354,866.17227272727268,863.80568181818182,861.43909090909085,859.07249999999988,{"$f":"+AN161*AN153","v":856.70590909090902},854.33931818181804,851.9727272727273,849.60613636363632,847.23954545454535,844.87295454545449,842.50636363636352,840.13977272727266,837.77318181818168,835.40659090909094,833.04,830.67340909090899,828.30681818181813,825.94022727272716,823.5736363636363,821.20704545454532,818.84045454545446,816.4738636363636,814.10727272727263,811.74068181818177,809.3740909090908,807.00749999999994,1870.5949116681199,904.72804607806768,904.41632410524801,904.09065484058658,903.75103828407657,903.3974744357148,903.02996329550456,902.6485048634504,902.25309913954334,901.84374612378724,{"$f":"+BT161*BT153","v":901.42044581618961},900.98319821673329,900.53200332543497,900.06686114228842,899.58777166728999,899.09473490044297,898.58775084175204,898.06681949120798,897.53194084881693,896.98311491457741,896.42034168848943,895.84362117055298,895.25295336077113,894.64833825913115,894.02977586565203,893.39726618032444,892.75080920314224,892.09040493411135,891.41605337324131,890.72775452051349,727.16004518872944,724.81436762360454,722.46869005847964,720.12301249335462,1212.7961866028704,740.10171451355666,737.67515151515158,735.24858851674639,732.82202551834132,730.39546251993625,727.96889952153106,725.5423365231261,{"$f":"+CZ161*CZ153","v":723.11577352472091},720.68921052631583,718.26264752791064,715.83608452950557,713.40952153110061,710.98295853269531,708.55639553429035,706.12983253588516,703.70326953748008,701.27670653907512,698.85014354066982,696.42358054226486,693.99701754385967,691.5704545454546,689.14389154704952,686.71732854864433,684.29076555023937,681.86420255183407,679.43763955342911,677.01107655502403,629.61221265284428,627.34742052099955,625.08262838915471,622.81783625731009,620.55304412546525,618.28825199362052,616.02345986177579,613.75866772993095,611.49387559808622,609.22908346624138,606.96429133439676,604.69949920255181,{"$f":"+EF161*EF153","v":602.43470707070719},600.16991493886235,597.90512280701762,595.64033067517289,593.37553854332805,591.11074641148332,588.84595427963848,586.58116214779386,584.31637001594902,582.05157788410429,579.78678575225956,577.52199362041472,575.25720148856999,572.99240935672526,570.72761722488042,568.46282509303569,566.19803296119085,563.93324082934623,561.66844869750139,559.40365656565666,557.13886443381193,1347.5513184476335,592.08137161084528,589.65480861244021,587.22824561403513,584.80168261562994,582.37511961722498,579.94855661881979,577.52199362041472,575.09543062200953,572.66886762360446,570.24230462519949,{"$f":"+FL161*FL153","v":567.81574162679419},565.38917862838923,562.96261562998404,560.53605263157897,558.10948963317401,555.68292663476871,553.25636363636374,550.82980063795844,548.40323763955348,545.97667464114841,543.55011164274322,541.12354864433826,538.69698564593295,536.27042264752799,533.84385964912292,531.41729665071773,528.99073365231266,526.56417065390747,524.13760765550251,521.71104465709732,519.28448165869224,1550.5737559808624,565.87449122807027,563.20527192982456,560.53605263157897,557.86683333333349,555.19761403508767,552.52839473684219,549.85917543859659,547.18995614035089,544.52073684210529,541.8515175438597,539.18229824561411,536.51307894736851,533.84385964912292,531.17464035087721,528.50542105263162]
[null,"Children of formerly peregrine veterans",null,null,null,null,{"$f":"IF($AH$9=\"Y\",G166*G178,0)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"IF($AH$9=\"Y\",AM166*AM178,0)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"IF($AH$9=\"Y\",BS166*BS178,0)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"IF($AH$9=\"Y\",CY166*CY178,0)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"IF($AH$9=\"Y\",EE166*EE178,0)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"IF($AH$9=\"Y\",FK166*FK178,0)","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"IF($AH$9=\"Y\",GQ166*GQ178,0)","v":0},0,0,0,0,0]
[null,"Total enfranchisements",null,null,null,null,{"$f":"+G180+G181","v":865.55871212121212},{"$f":"+H180+H181","v":863.36742424242414},861.17613636363637,858.98484848484838,856.79356060606051,854.60227272727252,852.41098484848476,850.219696969697,848.02840909090901,845.83712121212113,843.64583333333314,841.45454545454538,839.26325757575762,837.07196969696963,834.88068181818176,832.68939393939377,830.49810606060601,828.30681818181813,826.11553030303025,823.92424242424238,821.73295454545439,819.54166666666652,817.35037878787864,815.15909090909088,812.967803030303,1926.4050000000004,873.27204545454538,870.9054545454544,868.53886363636354,866.17227272727268,863.80568181818182,861.43909090909085,859.07249999999988,856.70590909090902,854.33931818181804,851.9727272727273,849.60613636363632,847.23954545454535,844.87295454545449,842.50636363636352,840.13977272727266,837.77318181818168,835.40659090909094,833.04,830.67340909090899,828.30681818181813,825.94022727272716,823.5736363636363,821.20704545454532,818.84045454545446,816.4738636363636,814.10727272727263,811.74068181818177,809.3740909090908,807.00749999999994,1870.5949116681199,904.72804607806768,904.41632410524801,904.09065484058658,903.75103828407657,903.3974744357148,903.02996329550456,902.6485048634504,902.25309913954334,901.84374612378724,{"$f":"+BT180+BT181","v":901.42044581618961},900.98319821673329,900.53200332543497,900.06686114228842,899.58777166728999,899.09473490044297,898.58775084175204,898.06681949120798,897.53194084881693,896.98311491457741,896.42034168848943,895.84362117055298,895.25295336077113,894.64833825913115,894.02977586565203,893.39726618032444,892.75080920314224,892.09040493411135,891.41605337324131,890.72775452051349,727.16004518872944,724.81436762360454,722.46869005847964,720.12301249335462,1212.7961866028704,740.10171451355666,737.67515151515158,735.24858851674639,732.82202551834132,730.39546251993625,727.96889952153106,725.5423365231261,723.11577352472091,720.68921052631583,718.26264752791064,715.83608452950557,713.40952153110061,710.98295853269531,708.55639553429035,706.12983253588516,703.70326953748008,701.27670653907512,698.85014354066982,696.42358054226486,693.99701754385967,691.5704545454546,689.14389154704952,686.71732854864433,684.29076555023937,681.86420255183407,679.43763955342911,677.01107655502403,629.61221265284428,627.34742052099955,625.08262838915471,622.81783625731009,620.55304412546525,618.28825199362052,616.02345986177579,613.75866772993095,611.49387559808622,609.22908346624138,606.96429133439676,604.69949920255181,{"$f":"+EF180+EF181","v":602.43470707070719},600.16991493886235,597.90512280701762,595.64033067517289,593.37553854332805,591.11074641148332,588.84595427963848,586.58116214779386,584.31637001594902,582.05157788410429,579.78678575225956,577.52199362041472,575.25720148856999,572.99240935672526,570.72761722488042,568.46282509303569,566.19803296119085,563.93324082934623,561.66844869750139,559.40365656565666,557.13886443381193,1347.5513184476335,592.08137161084528,589.65480861244021,587.22824561403513,584.80168261562994,582.37511961722498,579.94855661881979,577.52199362041472,575.09543062200953,572.66886762360446,570.24230462519949,567.81574162679419,565.38917862838923,562.96261562998404,560.53605263157897,558.10948963317401,555.68292663476871,553.25636363636374,550.82980063795844,548.40323763955348,545.97667464114841,543.55011164274322,541.12354864433826,538.69698564593295,536.27042264752799,533.84385964912292,531.41729665071773,528.99073365231266,526.56417065390747,524.13760765550251,521.71104465709732,519.28448165869224,1550.5737559808624,565.87449122807027,563.20527192982456,560.53605263157897,557.86683333333349,555.19761403508767,552.52839473684219,549.85917543859659,547.18995614035089,544.52073684210529,541.8515175438597,{"$f":"+GR180+GR181","v":539.18229824561411},536.51307894736851,533.84385964912292,531.17464035087721,528.50542105263162]
[]
[]
["CONSOLIDATED OUTPUTS"]
[null,"Merely extracts figures from above calculations and presents them in a more useful order"]
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[]
["Total enfranchisements"]
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{"sheet":"MC inputs","index":4,"n_rows":50,"n_cols":11,"rows_kept":50,"cut":false,"hidden":false,"merged":[]}
[{"$f":"INPUTS!A1","v":1158992.1964383705},"(total new citizens 15-212 with Most Likely assumptions)",null,null,null,null,null,null,"b"]
["Variable name","Baseline (B)","Unique randomisers","Randomiser to be used","From uniform distribution","From triangle distribution","Test event","Random  ","INPUT FOR MODEL","Nominal Range Sensitivity"]
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["Children / veteran - 14-96",{"$f":"IF(ISBLANK(INPUTS!E18),AVERAGE(INPUTS!D18:F18),INPUTS!E18)","v":0.26},0.43925613242439743,{"$f":"IF(ISBLANK(INPUTS!H18),C18,IF(INPUTS!I18=\"N\",1-INDEX(C$1:C$55,INPUTS!H18),INDEX(C$1:C$55,INPUTS!H18)))","v":0.43925613242439743},{"$f":"INPUTS!D18+(INPUTS!F18-INPUTS!D18)*D18","v":0.23327269826673488},{"$f":"IF(AND(INPUTS!E18>INPUTS!D18,INPUTS!E18<INPUTS!F18),IF(D18<=((B18-INPUTS!D18)/(INPUTS!F18-INPUTS!D18)),(INPUTS!D18+(D18*(INPUTS!F18-INPUTS!D18)*(B18-INPUTS!D18))^(1/2)),(INPUTS!F18-((1-D18)*(INPUTS!F18-INPUTS!D18)*(INPUTS!F18-B18))^(1/2))),\"ERROR\")","v":0.24620376722718157},{"$f":"IF(INPUTS!G18=\"e\",IF(D18<INPUTS!E18,\"TRUE\",\"FALSE\"),\"na\")","v":"na"},{"$f":"IF(INPUTS!G18=\"E\",IF(G18=\"TRUE\",1,0),IF(INPUTS!G18=\"u\",E18,IF(INPUTS!G18=\"t\",F18,IF(ISBLANK(INPUTS!D18),INPUTS!E18,\"error\"))))","v":0.24620376722718157},{"$f":"IF($I$1=\"r\",H18,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E18),B18,INPUTS!E18),\"error\"))","v":0.26},0.11276833805756889,264809.26475872868]
["Children / veteran - 117-212",{"$f":"IF(ISBLANK(INPUTS!E19),AVERAGE(INPUTS!D19:F19),INPUTS!E19)","v":2},0.1472801493347351,{"$f":"IF(ISBLANK(INPUTS!H19),C19,IF(INPUTS!I19=\"N\",1-INDEX(C$1:C$55,INPUTS!H19),INDEX(C$1:C$55,INPUTS!H19)))","v":0.43925613242439743},{"$f":"INPUTS!D19+(INPUTS!F19-INPUTS!D19)*D19","v":1.9953305191819577},{"$f":"IF(AND(INPUTS!E19>INPUTS!D19,INPUTS!E19<INPUTS!F19),IF(D19<=((B19-INPUTS!D19)/(INPUTS!F19-INPUTS!D19)),(INPUTS!D19+(D19*(INPUTS!F19-INPUTS!D19)*(B19-INPUTS!D19))^(1/2)),(INPUTS!F19-((1-D19)*(INPUTS!F19-INPUTS!D19)*(INPUTS!F19-B19))^(1/2))),\"ERROR\")","v":1.9976584057615066},{"$f":"IF(INPUTS!G19=\"e\",IF(D19<INPUTS!E19,\"TRUE\",\"FALSE\"),\"na\")","v":"na"},{"$f":"IF(INPUTS!G19=\"E\",IF(G19=\"TRUE\",1,0),IF(INPUTS!G19=\"u\",E19,IF(INPUTS!G19=\"t\",F19,IF(ISBLANK(INPUTS!D19),INPUTS!E19,\"error\"))))","v":1.9976584057615066},{"$f":"IF($I$1=\"r\",H19,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E19),B19,INPUTS!E19),\"error\"))","v":2},0,0]
["Scale of regime - 14",{"$f":"IF(ISBLANK(INPUTS!E20),AVERAGE(INPUTS!D20:F20),INPUTS!E20)","v":0.5},0.47717377437264508,{"$f":"IF(ISBLANK(INPUTS!H20),C20,IF(INPUTS!I20=\"N\",1-INDEX(C$1:C$55,INPUTS!H20),INDEX(C$1:C$55,INPUTS!H20)))","v":0.47717377437264508},{"$f":"INPUTS!D20+(INPUTS!F20-INPUTS!D20)*D20","v":0.48173901949811604},{"$f":"IF(AND(INPUTS!E20>INPUTS!D20,INPUTS!E20<INPUTS!F20),IF(D20<=((B20-INPUTS!D20)/(INPUTS!F20-INPUTS!D20)),(INPUTS!D20+(D20*(INPUTS!F20-INPUTS!D20)*(B20-INPUTS!D20))^(1/2)),(INPUTS!F20-((1-D20)*(INPUTS!F20-INPUTS!D20)*(INPUTS!F20-B20))^(1/2))),\"ERROR\")","v":"ERROR"},{"$f":"IF(INPUTS!G20=\"e\",IF(D20<INPUTS!E20,\"TRUE\",\"FALSE\"),\"na\")","v":"na"},{"$f":"IF(INPUTS!G20=\"E\",IF(G20=\"TRUE\",1,0),IF(INPUTS!G20=\"u\",E20,IF(INPUTS!G20=\"t\",F20,IF(ISBLANK(INPUTS!D20),INPUTS!E20,\"error\"))))","v":0.48173901949811604},{"$f":"IF($I$1=\"r\",H20,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E20),B20,INPUTS!E20),\"error\"))","v":0.5},4.7238834545803812E-2,110929.01837169472]
["Scale of regime - 48",{"$f":"IF(ISBLANK(INPUTS!E21),AVERAGE(INPUTS!D21:F21),INPUTS!E21)","v":1},0.56560805653788526,{"$f":"IF(ISBLANK(INPUTS!H21),C21,IF(INPUTS!I21=\"N\",1-INDEX(C$1:C$55,INPUTS!H21),INDEX(C$1:C$55,INPUTS!H21)))","v":0.56560805653788526},{"$f":"INPUTS!D21+(INPUTS!F21-INPUTS!D21)*D21","v":0},{"$f":"IF(AND(INPUTS!E21>INPUTS!D21,INPUTS!E21<INPUTS!F21),IF(D21<=((B21-INPUTS!D21)/(INPUTS!F21-INPUTS!D21)),(INPUTS!D21+(D21*(INPUTS!F21-INPUTS!D21)*(B21-INPUTS!D21))^(1/2)),(INPUTS!F21-((1-D21)*(INPUTS!F21-INPUTS!D21)*(INPUTS!F21-B21))^(1/2))),\"ERROR\")","v":"ERROR"},{"$f":"IF(INPUTS!G21=\"e\",IF(D21<INPUTS!E21,\"TRUE\",\"FALSE\"),\"na\")","v":"na"},{"$f":"IF(INPUTS!G21=\"E\",IF(G21=\"TRUE\",1,0),IF(INPUTS!G21=\"u\",E21,IF(INPUTS!G21=\"t\",F21,IF(ISBLANK(INPUTS!D21),INPUTS!E21,\"error\"))))","v":1},{"$f":"IF($I$1=\"r\",H21,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E21),B21,INPUTS!E21),\"error\"))","v":1},0,0]
["Scale of regime - 98",{"$f":"IF(ISBLANK(INPUTS!E22),AVERAGE(INPUTS!D22:F22),INPUTS!E22)","v":1},0.48278925440048848,{"$f":"IF(ISBLANK(INPUTS!H22),C22,IF(INPUTS!I22=\"N\",1-INDEX(C$1:C$55,INPUTS!H22),INDEX(C$1:C$55,INPUTS!H22)))","v":0.48278925440048848},{"$f":"INPUTS!D22+(INPUTS!F22-INPUTS!D22)*D22","v":0},{"$f":"IF(AND(INPUTS!E22>INPUTS!D22,INPUTS!E22<INPUTS!F22),IF(D22<=((B22-INPUTS!D22)/(INPUTS!F22-INPUTS!D22)),(INPUTS!D22+(D22*(INPUTS!F22-INPUTS!D22)*(B22-INPUTS!D22))^(1/2)),(INPUTS!F22-((1-D22)*(INPUTS!F22-INPUTS!D22)*(INPUTS!F22-B22))^(1/2))),\"ERROR\")","v":"ERROR"},{"$f":"IF(INPUTS!G22=\"e\",IF(D22<INPUTS!E22,\"TRUE\",\"FALSE\"),\"na\")","v":"na"},{"$f":"IF(INPUTS!G22=\"E\",IF(G22=\"TRUE\",1,0),IF(INPUTS!G22=\"u\",E22,IF(INPUTS!G22=\"t\",F22,IF(ISBLANK(INPUTS!D22),INPUTS!E22,\"error\"))))","v":1},{"$f":"IF($I$1=\"r\",H22,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E22),B22,INPUTS!E22),\"error\"))","v":1},0,0]
["Scale of regime - 140",{"$f":"IF(ISBLANK(INPUTS!E23),AVERAGE(INPUTS!D23:F23),INPUTS!E23)","v":1},0.78057281584028249,{"$f":"IF(ISBLANK(INPUTS!H23),C23,IF(INPUTS!I23=\"N\",1-INDEX(C$1:C$55,INPUTS!H23),INDEX(C$1:C$55,INPUTS!H23)))","v":0.78057281584028249},{"$f":"INPUTS!D23+(INPUTS!F23-INPUTS!D23)*D23","v":0},{"$f":"IF(AND(INPUTS!E23>INPUTS!D23,INPUTS!E23<INPUTS!F23),IF(D23<=((B23-INPUTS!D23)/(INPUTS!F23-INPUTS!D23)),(INPUTS!D23+(D23*(INPUTS!F23-INPUTS!D23)*(B23-INPUTS!D23))^(1/2)),(INPUTS!F23-((1-D23)*(INPUTS!F23-INPUTS!D23)*(INPUTS!F23-B23))^(1/2))),\"ERROR\")","v":"ERROR"},{"$f":"IF(INPUTS!G23=\"e\",IF(D23<INPUTS!E23,\"TRUE\",\"FALSE\"),\"na\")","v":"na"},{"$f":"IF(INPUTS!G23=\"E\",IF(G23=\"TRUE\",1,0),IF(INPUTS!G23=\"u\",E23,IF(INPUTS!G23=\"t\",F23,IF(ISBLANK(INPUTS!D23),INPUTS!E23,\"error\"))))","v":1},{"$f":"IF($I$1=\"r\",H23,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E23),B23,INPUTS!E23),\"error\"))","v":1},0,0]
["% of auxiliaries receiveing grants to children post 140",{"$f":"IF(ISBLANK(INPUTS!E24),AVERAGE(INPUTS!D24:F24),INPUTS!E24)","v":0},0.55293237243274962,{"$f":"IF(ISBLANK(INPUTS!H24),C24,IF(INPUTS!I24=\"N\",1-INDEX(C$1:C$55,INPUTS!H24),INDEX(C$1:C$55,INPUTS!H24)))","v":0.55293237243274962},{"$f":"INPUTS!D24+(INPUTS!F24-INPUTS!D24)*D24","v":0},{"$f":"IF(AND(INPUTS!E24>INPUTS!D24,INPUTS!E24<INPUTS!F24),IF(D24<=((B24-INPUTS!D24)/(INPUTS!F24-INPUTS!D24)),(INPUTS!D24+(D24*(INPUTS!F24-INPUTS!D24)*(B24-INPUTS!D24))^(1/2)),(INPUTS!F24-((1-D24)*(INPUTS!F24-INPUTS!D24)*(INPUTS!F24-B24))^(1/2))),\"ERROR\")","v":"ERROR"},{"$f":"IF(INPUTS!G24=\"e\",IF(D24<INPUTS!E24,\"TRUE\",\"FALSE\"),\"na\")","v":"na"},{"$f":"IF(INPUTS!G24=\"E\",IF(G24=\"TRUE\",1,0),IF(INPUTS!G24=\"u\",E24,IF(INPUTS!G24=\"t\",F24,IF(ISBLANK(INPUTS!D24),INPUTS!E24,\"error\"))))","v":0},{"$f":"IF($I$1=\"r\",H24,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E24),B24,INPUTS!E24),\"error\"))","v":0},0,0]
["Fleets- PaperStrength-14",{"$f":"IF(ISBLANK(INPUTS!E25),AVERAGE(INPUTS!D25:F25),INPUTS!E25)","v":25},0.49393451268527289,{"$f":"IF(ISBLANK(INPUTS!H25),C25,IF(INPUTS!I25=\"N\",1-INDEX(C$1:C$55,INPUTS!H25),INDEX(C$1:C$55,INPUTS!H25)))","v":0.49393451268527289},{"$f":"INPUTS!D25+(INPUTS!F25-INPUTS!D25)*D25","v":32.28770794398455},{"$f":"IF(AND(INPUTS!E25>INPUTS!D25,INPUTS!E25<INPUTS!F25),IF(D25<=((B25-INPUTS!D25)/(INPUTS!F25-INPUTS!D25)),(INPUTS!D25+(D25*(INPUTS!F25-INPUTS!D25)*(B25-INPUTS!D25))^(1/2)),(INPUTS!F25-((1-D25)*(INPUTS!F25-INPUTS!D25)*(INPUTS!F25-B25))^(1/2))),\"ERROR\")","v":28.957013011447586},{"$f":"IF(INPUTS!G25=\"e\",IF(D25<INPUTS!E25,\"TRUE\",\"FALSE\"),\"na\")","v":"na"},{"$f":"IF(INPUTS!G25=\"E\",IF(G25=\"TRUE\",1,0),IF(INPUTS!G25=\"u\",E25,IF(INPUTS!G25=\"t\",F25,IF(ISBLANK(INPUTS!D25),INPUTS!E25,\"error\"))))","v":28.957013011447586},{"$f":"IF($I$1=\"r\",H25,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E25),B25,INPUTS!E25),\"error\"))","v":25},9.3667922071848736E-2,219956.54101651744]
["Fleets- PaperStrength-212",{"$f":"IF(ISBLANK(INPUTS!E26),AVERAGE(INPUTS!D26:F26),INPUTS!E26)","v":25},0.9004862696044853,{"$f":"IF(ISBLANK(INPUTS!H26),C26,IF(INPUTS!I26=\"N\",1-INDEX(C$1:C$55,INPUTS!H26),INDEX(C$1:C$55,INPUTS!H26)))","v":0.49393451268527289},{"$f":"INPUTS!D26+(INPUTS!F26-INPUTS!D26)*D26","v":32.28770794398455},{"$f":"IF(AND(INPUTS!E26>INPUTS!D26,INPUTS!E26<INPUTS!F26),IF(D26<=((B26-INPUTS!D26)/(INPUTS!F26-INPUTS!D26)),(INPUTS!D26+(D26*(INPUTS!F26-INPUTS!D26)*(B26-INPUTS!D26))^(1/2)),(INPUTS!F26-((1-D26)*(INPUTS!F26-INPUTS!D26)*(INPUTS!F26-B26))^(1/2))),\"ERROR\")","v":28.957013011447586},{"$f":"IF(INPUTS!G26=\"e\",IF(D26<INPUTS!E26,\"TRUE\",\"FALSE\"),\"na\")","v":"na"},{"$f":"IF(INPUTS!G26=\"E\",IF(G26=\"TRUE\",1,0),IF(INPUTS!G26=\"u\",E26,IF(INPUTS!G26=\"t\",F26,IF(ISBLANK(INPUTS!D26),INPUTS!E26,\"error\"))))","v":28.957013011447586},{"$f":"IF($I$1=\"r\",H26,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E26),B26,INPUTS!E26),\"error\"))","v":25},0,0]
["% in Italian fleets",{"$f":"IF(ISBLANK(INPUTS!E27),AVERAGE(INPUTS!D27:F27),INPUTS!E27)","v":0.5},0.31864977051694887,{"$f":"IF(ISBLANK(INPUTS!H27),C27,IF(INPUTS!I27=\"N\",1-INDEX(C$1:C$55,INPUTS!H27),INDEX(C$1:C$55,INPUTS!H27)))","v":0.31864977051694887},{"$f":"INPUTS!D27+(INPUTS!F27-INPUTS!D27)*D27","v":0},{"$f":"IF(AND(INPUTS!E27>INPUTS!D27,INPUTS!E27<INPUTS!F27),IF(D27<=((B27-INPUTS!D27)/(INPUTS!F27-INPUTS!D27)),(INPUTS!D27+(D27*(INPUTS!F27-INPUTS!D27)*(B27-INPUTS!D27))^(1/2)),(INPUTS!F27-((1-D27)*(INPUTS!F27-INPUTS!D27)*(INPUTS!F27-B27))^(1/2))),\"ERROR\")","v":"ERROR"},{"$f":"IF(INPUTS!G27=\"e\",IF(D27<INPUTS!E27,\"TRUE\",\"FALSE\"),\"na\")","v":"na"},{"$f":"IF(INPUTS!G27=\"E\",IF(G27=\"TRUE\",1,0),IF(INPUTS!G27=\"u\",E27,IF(INPUTS!G27=\"t\",F27,IF(ISBLANK(INPUTS!D27),INPUTS!E27,\"error\"))))","v":0.5},{"$f":"IF($I$1=\"r\",H27,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E27),B27,INPUTS!E27),\"error\"))","v":0.5},0,0]
["Term of service (fleets)",{"$f":"IF(ISBLANK(INPUTS!E28),AVERAGE(INPUTS!D28:F28),INPUTS!E28)","v":26},0.73886249258642911,{"$f":"IF(ISBLANK(INPUTS!H28),C28,IF(INPUTS!I28=\"N\",1-INDEX(C$1:C$55,INPUTS!H28),INDEX(C$1:C$55,INPUTS!H28)))","v":0.73886249258642911},{"$f":"INPUTS!D28+(INPUTS!F28-INPUTS!D28)*D28","v":0},{"$f":"IF(AND(INPUTS!E28>INPUTS!D28,INPUTS!E28<INPUTS!F28),IF(D28<=((B28-INPUTS!D28)/(INPUTS!F28-INPUTS!D28)),(INPUTS!D28+(D28*(INPUTS!F28-INPUTS!D28)*(B28-INPUTS!D28))^(1/2)),(INPUTS!F28-((1-D28)*(INPUTS!F28-INPUTS!D28)*(INPUTS!F28-B28))^(1/2))),\"ERROR\")","v":"ERROR"},{"$f":"IF(INPUTS!G28=\"e\",IF(D28<INPUTS!E28,\"TRUE\",\"FALSE\"),\"na\")","v":"na"},{"$f":"IF(INPUTS!G28=\"E\",IF(G28=\"TRUE\",1,0),IF(INPUTS!G28=\"u\",E28,IF(INPUTS!G28=\"t\",F28,IF(ISBLANK(INPUTS!D28),INPUTS!E28,\"error\"))))","v":26},{"$f":"IF($I$1=\"r\",H28,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E28),B28,INPUTS!E28),\"error\"))","v":26},0,0]
["Citizens in the fleet-14",{"$f":"IF(ISBLANK(INPUTS!E29),AVERAGE(INPUTS!D29:F29),INPUTS!E29)","v":0},0.9929655000667067,{"$f":"IF(ISBLANK(INPUTS!H29),C29,IF(INPUTS!I29=\"N\",1-INDEX(C$1:C$55,INPUTS!H29),INDEX(C$1:C$55,INPUTS!H29)))","v":0.9929655000667067},{"$f":"INPUTS!D29+(INPUTS!F29-INPUTS!D29)*D29","v":0},{"$f":"IF(AND(INPUTS!E29>INPUTS!D29,INPUTS!E29<INPUTS!F29),IF(D29<=((B29-INPUTS!D29)/(INPUTS!F29-INPUTS!D29)),(INPUTS!D29+(D29*(INPUTS!F29-INPUTS!D29)*(B29-INPUTS!D29))^(1/2)),(INPUTS!F29-((1-D29)*(INPUTS!F29-INPUTS!D29)*(INPUTS!F29-B29))^(1/2))),\"ERROR\")","v":"ERROR"},{"$f":"IF(INPUTS!G29=\"e\",IF(D29<INPUTS!E29,\"TRUE\",\"FALSE\"),\"na\")","v":"na"},{"$f":"IF(INPUTS!G29=\"E\",IF(G29=\"TRUE\",1,0),IF(INPUTS!G29=\"u\",E29,IF(INPUTS!G29=\"t\",F29,IF(ISBLANK(INPUTS!D29),INPUTS!E29,\"error\"))))","v":0},{"$f":"IF($I$1=\"r\",H29,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E29),B29,INPUTS!E29),\"error\"))","v":0},0,0]
["Citizens in the fleet-212",{"$f":"IF(ISBLANK(INPUTS!E30),AVERAGE(INPUTS!D30:F30),INPUTS!E30)","v":0},0.81447645704264404,{"$f":"IF(ISBLANK(INPUTS!H30),C30,IF(INPUTS!I30=\"N\",1-INDEX(C$1:C$55,INPUTS!H30),INDEX(C$1:C$55,INPUTS!H30)))","v":0.81447645704264404},{"$f":"INPUTS!D30+(INPUTS!F30-INPUTS!D30)*D30","v":0},{"$f":"IF(AND(INPUTS!E30>INPUTS!D30,INPUTS!E30<INPUTS!F30),IF(D30<=((B30-INPUTS!D30)/(INPUTS!F30-INPUTS!D30)),(INPUTS!D30+(D30*(INPUTS!F30-INPUTS!D30)*(B30-INPUTS!D30))^(1/2)),(INPUTS!F30-((1-D30)*(INPUTS!F30-INPUTS!D30)*(INPUTS!F30-B30))^(1/2))),\"ERROR\")","v":"ERROR"},{"$f":"IF(INPUTS!G30=\"e\",IF(D30<INPUTS!E30,\"TRUE\",\"FALSE\"),\"na\")","v":"na"},{"$f":"IF(INPUTS!G30=\"E\",IF(G30=\"TRUE\",1,0),IF(INPUTS!G30=\"u\",E30,IF(INPUTS!G30=\"t\",F30,IF(ISBLANK(INPUTS!D30),INPUTS!E30,\"error\"))))","v":0},{"$f":"IF($I$1=\"r\",H30,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E30),B30,INPUTS!E30),\"error\"))","v":0},0,0]
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["Peregrine legionaries - Displacement by citizens by 212 CE",{"$f":"IF(ISBLANK(INPUTS!E46),AVERAGE(INPUTS!D46:F46),INPUTS!E46)","v":0.5},0.49038137777598745,{"$f":"IF(ISBLANK(INPUTS!H46),C46,IF(INPUTS!I46=\"N\",1-INDEX(C$1:C$55,INPUTS!H46),INDEX(C$1:C$55,INPUTS!H46)))","v":0.77669499000904518},{"$f":"INPUTS!D46+(INPUTS!F46-INPUTS!D46)*D46","v":0.77669499000904518},{"$f":"IF(AND(INPUTS!E46>INPUTS!D46,INPUTS!E46<INPUTS!F46),IF(D46<=((B46-INPUTS!D46)/(INPUTS!F46-INPUTS!D46)),(INPUTS!D46+(D46*(INPUTS!F46-INPUTS!D46)*(B46-INPUTS!D46))^(1/2)),(INPUTS!F46-((1-D46)*(INPUTS!F46-INPUTS!D46)*(INPUTS!F46-B46))^(1/2))),\"ERROR\")","v":"ERROR"},{"$f":"IF(INPUTS!G46=\"e\",IF(D46<INPUTS!E46,\"TRUE\",\"FALSE\"),\"na\")","v":"na"},{"$f":"IF(INPUTS!G46=\"E\",IF(G46=\"TRUE\",1,0),IF(INPUTS!G46=\"u\",E46,IF(INPUTS!G46=\"t\",F46,IF(ISBLANK(INPUTS!D46),INPUTS!E46,\"error\"))))","v":0.77669499000904518},{"$f":"IF($I$1=\"r\",H46,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E46),B46,INPUTS!E46),\"error\"))","v":0.5},0,0]
["Citizenship for children of legionaries?",{"$f":"IF(ISBLANK(INPUTS!E47),AVERAGE(INPUTS!D47:F47),INPUTS!E47)","v":0.25},0.81907211512089606,{"$f":"IF(ISBLANK(INPUTS!H47),C47,IF(INPUTS!I47=\"N\",1-INDEX(C$1:C$55,INPUTS!H47),INDEX(C$1:C$55,INPUTS!H47)))","v":0.81907211512089606},{"$f":"INPUTS!D47+(INPUTS!F47-INPUTS!D47)*D47","v":0},{"$f":"IF(AND(INPUTS!E47>INPUTS!D47,INPUTS!E47<INPUTS!F47),IF(D47<=((B47-INPUTS!D47)/(INPUTS!F47-INPUTS!D47)),(INPUTS!D47+(D47*(INPUTS!F47-INPUTS!D47)*(B47-INPUTS!D47))^(1/2)),(INPUTS!F47-((1-D47)*(INPUTS!F47-INPUTS!D47)*(INPUTS!F47-B47))^(1/2))),\"ERROR\")","v":"ERROR"},{"$f":"IF(INPUTS!G47=\"e\",IF(D47<INPUTS!E47,\"TRUE\",\"FALSE\"),\"na\")","v":"FALSE"},{"$f":"IF(INPUTS!G47=\"E\",IF(G47=\"TRUE\",1,0),IF(INPUTS!G47=\"u\",E47,IF(INPUTS!G47=\"t\",F47,IF(ISBLANK(INPUTS!D47),INPUTS!E47,\"error\"))))","v":0},{"$f":"IF($I$1=\"r\",H47,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E47),B47,INPUTS!E47),\"error\"))","v":0.25},-3.6603917319546798E-2,-85955.478280881653]
["Citizenship for children of citizen soldiers?",{"$f":"IF(ISBLANK(INPUTS!E48),AVERAGE(INPUTS!D48:F48),INPUTS!E48)","v":1},0.23596271781194555,{"$f":"IF(ISBLANK(INPUTS!H48),C48,IF(INPUTS!I48=\"N\",1-INDEX(C$1:C$55,INPUTS!H48),INDEX(C$1:C$55,INPUTS!H48)))","v":0.23596271781194555},{"$f":"INPUTS!D48+(INPUTS!F48-INPUTS!D48)*D48","v":0},{"$f":"IF(AND(INPUTS!E48>INPUTS!D48,INPUTS!E48<INPUTS!F48),IF(D48<=((B48-INPUTS!D48)/(INPUTS!F48-INPUTS!D48)),(INPUTS!D48+(D48*(INPUTS!F48-INPUTS!D48)*(B48-INPUTS!D48))^(1/2)),(INPUTS!F48-((1-D48)*(INPUTS!F48-INPUTS!D48)*(INPUTS!F48-B48))^(1/2))),\"ERROR\")","v":"ERROR"},{"$f":"IF(INPUTS!G48=\"e\",IF(D48<INPUTS!E48,\"TRUE\",\"FALSE\"),\"na\")","v":"TRUE"},{"$f":"IF(INPUTS!G48=\"E\",IF(G48=\"TRUE\",1,0),IF(INPUTS!G48=\"u\",E48,IF(INPUTS!G48=\"t\",F48,IF(ISBLANK(INPUTS!D48),INPUTS!E48,\"error\"))))","v":1},{"$f":"IF($I$1=\"r\",H48,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E48),B48,INPUTS!E48),\"error\"))","v":1},0,0]
["Citizenship for children before 48?",{"$f":"IF(ISBLANK(INPUTS!E49),AVERAGE(INPUTS!D49:F49),INPUTS!E49)","v":1},0.3041914018666434,{"$f":"IF(ISBLANK(INPUTS!H49),C49,IF(INPUTS!I49=\"N\",1-INDEX(C$1:C$55,INPUTS!H49),INDEX(C$1:C$55,INPUTS!H49)))","v":0.3041914018666434},{"$f":"INPUTS!D49+(INPUTS!F49-INPUTS!D49)*D49","v":0},{"$f":"IF(AND(INPUTS!E49>INPUTS!D49,INPUTS!E49<INPUTS!F49),IF(D49<=((B49-INPUTS!D49)/(INPUTS!F49-INPUTS!D49)),(INPUTS!D49+(D49*(INPUTS!F49-INPUTS!D49)*(B49-INPUTS!D49))^(1/2)),(INPUTS!F49-((1-D49)*(INPUTS!F49-INPUTS!D49)*(INPUTS!F49-B49))^(1/2))),\"ERROR\")","v":"ERROR"},{"$f":"IF(INPUTS!G49=\"e\",IF(D49<INPUTS!E49,\"TRUE\",\"FALSE\"),\"na\")","v":"TRUE"},{"$f":"IF(INPUTS!G49=\"E\",IF(G49=\"TRUE\",1,0),IF(INPUTS!G49=\"u\",E49,IF(INPUTS!G49=\"t\",F49,IF(ISBLANK(INPUTS!D49),INPUTS!E49,\"error\"))))","v":1},{"$f":"IF($I$1=\"r\",H49,IF($I$1=\"b\",IF(ISBLANK(INPUTS!E49),B49,INPUTS!E49),\"error\"))","v":1},0,0]
[null,null,null,null,null,null,null,null,null,0,0]

{"sheet":"Output","index":5,"n_rows":228,"n_cols":6,"rows_kept":228,"cut":false,"hidden":false,"merged":[]}
["OUTPUT",null,null,{"$f":"IF('MC inputs'!$I$1=\"L\",\"Minimum\",IF('MC inputs'!$I$1=\"B\",\"Baseline\",IF('MC inputs'!$I$1=\"H\",\"Maximum\",\"Random\")))","v":"Baseline"},null,"Output VariableName"]
[null,null,null,"BLANK"]
["TOTAL","Total","15-212",{"$f":"SUM(MODEL!G217:GV217)","v":1158992.1964383705},null,"TOTAL-Total-15-212"]
[null,null,"15-47",{"$f":"SUM(MODEL!G217:AM217)","v":99677.877718034186},null,"TOTAL-Total-15-47"]
[null,null,"48-100",{"$f":"SUM(MODEL!AN217:CN217)","v":293839.5953934791},null,"TOTAL-Total-48-100"]
[null,null,"101-140",{"$f":"SUM(MODEL!CO217:EB217)","v":458351.39123438869},null,"TOTAL-Total-101-139"]
[null,null,"141-212",{"$f":"SUM(MODEL!EC217:GV217)","v":307123.33209246869},null,"TOTAL-Total-140-212"]
[null,null,"48-212",{"$f":"SUM(MODEL!AN217:GV217)","v":1059314.3187203365},null,"TOTAL-Total-48-212"]
[null,"Of whom children","15-47",{"$f":"SUM(MODEL!G208:AM208)","v":14590.268409589549},null,"TOTAL-Of whom children-15-47"]
[null,null,"48-100",{"$f":"SUM(MODEL!AN208:CN208)","v":53492.952509509676},null,"TOTAL-Of whom children-48-100"]
[null,null,"101-140",{"$f":"SUM(MODEL!CO208:EB208)","v":267677.44726847904},null,"TOTAL-Of whom children-101-139"]
[null,null,"141-212",{"$f":"SUM(MODEL!EC208:GV208)","v":18731.076923076918},null,"TOTAL-Of whom children-140-212"]
[null,null,"48-212",{"$f":"SUM(MODEL!AN208:GV208)","v":339901.47670106747},null,"TOTAL-Of whom children-48-212"]
[null,null,"15-212",{"$f":"SUM(MODEL!G208:GV208)","v":354491.74511065707},null,"TOTAL-Of whom children-15-212"]
["Auxilia","Soldiers","15-47",{"$f":"SUM(MODEL!G69:AM69)","v":47079.493883036732},null,"Auxilia-Soldiers-15-47"]
[null,null,"48-100",{"$f":"SUM(MODEL!AN69:CN69)","v":164360.75730853359},null,"Auxilia-Soldiers-48-100"]
[null,null,"101-140",{"$f":"SUM(MODEL!CO69:EB69)","v":140670.04932488405},null,"Auxilia-Soldiers-101-139"]
[null,null,"141-212",{"$f":"SUM(MODEL!EC69:GV69)","v":206629.84849853333},null,"Auxilia-Soldiers-140-212"]
[null,null,"48-212",{"$f":"SUM(MODEL!AN69:GV69)","v":511660.65513195121},null,"Auxilia-Soldiers-48-212"]
[null,null,"15-212",{"$f":"SUM(MODEL!G69:GV69)","v":558740.14901498787},null,"Auxilia-Soldiers-15-212"]
[null,"Children","15-47",{"$f":"SUM(MODEL!G70:AM70)","v":12240.668409589554},null,"Auxilia-Total-15-47"]
[null,null,"48-100",{"$f":"SUM(MODEL!AN70:CN70)","v":45649.737857495027},null,"Auxilia-Total-48-100"]
[null,null,"101-140",{"$f":"SUM(MODEL!CO70:EB70)","v":241142.01576664753},null,"Auxilia-Total-101-139"]
[null,null,"141-212",{"$f":"SUM(MODEL!EC70:GV70)","v":0},null,"Auxilia-Total-140-212"]
[null,null,"48-212",{"$f":"SUM(MODEL!AN70:GV70)","v":286791.75362414256},null,"Auxilia-Total-48-212"]
[null,null,"15-212",{"$f":"SUM(MODEL!G70:GV70)","v":299032.42203373206},null,"Auxilia-Total-15-212"]
[null,"Total","15-47",{"$f":"SUM(MODEL!G71:AM71)","v":59320.162292626286},null,"Auxilia-Total-15-47"]
[null,null,"48-100",{"$f":"SUM(MODEL!AN71:CN71)","v":210010.49516602859},null,"Auxilia-Total-48-100"]
[null,null,"101-140",{"$f":"SUM(MODEL!CO71:EB71)","v":381812.06509153161},null,"Auxilia-Total-101-139"]
[null,null,"141-212",{"$f":"SUM(MODEL!EC71:GV71)","v":206629.84849853333},null,"Auxilia-Total-140-212"]
[null,null,"48-212",{"$f":"SUM(MODEL!AN71:GV71)","v":798452.40875609382},null,"Auxilia-Total-48-212"]
[null,null,"15-212",{"$f":"SUM(MODEL!G71:GV71)","v":857772.57104872004},null,"Auxilia-Total-15-212"]
["Fleets","Soldiers","15-47",{"$f":"SUM(MODEL!G126:AM126)","v":9036.9230769230835},null,"Fleets-Soldiers-15-47"]
[null,null,"48-100",{"$f":"SUM(MODEL!AN126:CN126)","v":29027.692307692338},null,"Fleets-Soldiers-48-100"]
[null,null,"101-140",{"$f":"SUM(MODEL!CO126:EB126)","v":21907.692307692327},null,"Fleets-Soldiers-101-139"]
[null,null,"141-212",{"$f":"SUM(MODEL!EC126:GV126)","v":39433.846153846156},null,"Fleets-Soldiers-140-212"]
[null,null,"48-212",{"$f":"SUM(MODEL!AN126:GV126)","v":90369.230769230839},null,"Fleets-Soldiers-48-212"]
[null,null,"15-212",{"$f":"SUM(MODEL!G126:GV126)","v":99406.153846153989},null,"Fleets-Soldiers-15-212"]
[null,"of whom children","15-47",{"$f":"SUM(MODEL!G127:AM127)","v":2349.6},null,"Fleets-Children-15-47"]
[null,null,"48-100",{"$f":"SUM(MODEL!AN127:CN127)","v":7843.2146520146462},null,"Fleets-Children-48-100"]
[null,null,"101-140",{"$f":"SUM(MODEL!CO127:EB127)","v":26535.431501831492},null,"Fleets-Children-101-139"]
[null,null,"141-212",{"$f":"SUM(MODEL!EC127:GV127)","v":18731.076923076918},null,"Fleets-Children-140-212"]
[null,null,"48-212",{"$f":"SUM(MODEL!AN127:GV127)","v":53109.723076922906},null,"Fleets-Children-48-212"]
[null,null,"15-212",{"$f":"SUM(MODEL!G127:GV127)","v":55459.323076922898},null,"Fleets-Children-15-212"]
[null,"Total","15-47",{"$f":"SUM(MODEL!G128:AM128)","v":11386.523076923075},null,"Fleets-Total-15-47"]
[null,null,"48-100",{"$f":"SUM(MODEL!AN128:CN128)","v":36870.906959706939},null,"Fleets-Total-48-100"]
[null,null,"101-140",{"$f":"SUM(MODEL!CO128:EB128)","v":48443.123809523779},null,"Fleets-Total-101-139"]
[null,null,"141-212",{"$f":"SUM(MODEL!EC128:GV128)","v":58164.923076923129},null,"Fleets-Total-140-212"]
[null,null,"48-212",{"$f":"SUM(MODEL!AN128:GV128)","v":143478.95384615401},null,"Fleets-Total-48-212"]
[null,null,"15-212",{"$f":"SUM(MODEL!G128:GV128)","v":154865.47692307711},null,"Fleets-Total-15-212"]
["Auxilia + fleet","Total","15-47",{"$f":"SUM(MODEL!G218:AM218)","v":70706.685369549334},null,"Auxilia + fleet-Total-15-47"]
[null,null,"48-100",{"$f":"SUM(MODEL!AN218:CN218)","v":246881.40212573556},null,"Auxilia + fleet-Total-48-100"]
[null,null,"101-140",{"$f":"SUM(MODEL!CO218:EB218)","v":430255.18890105525},null,"Auxilia + fleet-Total-101-139"]
[null,null,"141-212",{"$f":"SUM(MODEL!EC218:GV218)","v":264794.77157545649},null,"Auxilia + fleet-Total-140-212"]
[null,null,"48-212",{"$f":"SUM(MODEL!AN218:GV218)","v":941931.36260224716},null,"Auxilia + fleet-Total-48-212"]
[null,null,"15-212",{"$f":"SUM(MODEL!G218:GV218)","v":1012638.0479717965},null,"Auxilia + fleet-Total-15-212"]
["Legions","Total","15-47",{"$f":"SUM(MODEL!G182:AM182)","v":28971.192348484852},null,"Legions-Total-15-47"]
[null,null,"48-100",{"$f":"SUM(MODEL!AN182:CN182)","v":46958.193267743503},null,"Legions-Total-48-100"]
[null,null,"101-140",{"$f":"SUM(MODEL!CO182:EB182)","v":28096.202333333338},null,"Legions-Total-101-139"]
[null,null,"141-212",{"$f":"SUM(MODEL!EC182:GV182)","v":42328.560517012229},null,"Legions-Total-140-212"]
[null,null,"48-212",{"$f":"SUM(MODEL!AN182:GV182)","v":117382.95611808903},null,"Legions-Total-48-212"]
[null,null,"15-212",{"$f":"SUM(MODEL!G182:GV182)","v":146354.14846657388},null,"Legions-Total-15-212"]
["Auxilia","Recruits",15,{"$f":"MODEL!G$49","v":6285.6906729634147},null,"Auxilia-Recruits-15"]
[null,null,50,{"$f":"MODEL!AP$49","v":8041.8291018291156},null,"Auxilia-Recruits-50"]
[null,null,100,{"$f":"MODEL!CN$49","v":9773.7053182214568},null,"Auxilia-Recruits-100"]
[null,null,139,{"$f":"MODEL!EB$49","v":10398.947368421053},null,"Auxilia-Recruits-139"]
[null,null,212,{"$f":"MODEL!GV$49","v":10398.947368421053},null,"Auxilia-Recruits-212"]
["Auxilia","Veterans",15,{"$f":"+MODEL!G57","v":1885.7072018890246},null,"Auxilia-Veterans-15"]
[null,null,50,{"$f":"MODEL!AP$57","v":2968.7541912632887},null,"Auxilia-Veterans-50"]
[null,null,100,{"$f":"MODEL!CN$57","v":4245.1651785118538},null,"Auxilia-Veterans-100"]
[null,null,139,{"$f":"MODEL!EB$57","v":5223.6502546689353},null,"Auxilia-Veterans-139"]
[null,null,212,{"$f":"MODEL!GV$57","v":5199.4736842105267},null,"Auxilia-Veterans-212"]
[null,"Enfranchised soldiers",15,{"$f":"MODEL!G69","v":1426.0279301016758},null,"Auxilia-Enfranchised soldiers-15"]
[null,null,50,{"$f":"MODEL!AP$69","v":2865.4240701046588},null,"Auxilia-Enfranchised soldiers-50"]
[null,null,100,{"$f":"MODEL!CN$69","v":3526.6746866283834},null,"Auxilia-Enfranchised soldiers-100"]
[null,null,139,{"$f":"MODEL!EB$69","v":3421.7444920632338},null,"Auxilia-Enfranchised soldiers-139"]
[null,null,212,{"$f":"MODEL!GV$69","v":2326.0803324099729},null,"Auxilia-Enfranchised soldiers-212"]
[null,"Enfranchised children",15,{"$f":"MODEL!G70","v":370.76726182643574},null,"Auxilia-Enfranchised children-15"]
[null,null,50,{"$f":"MODEL!AP$70","v":745.01025822721135},null,"Auxilia-Enfranchised children-50"]
[null,null,100,{"$f":"MODEL!CN$70","v":2085.7761718059296},null,"Auxilia-Enfranchised children-100"]
[null,null,139,{"$f":"MODEL!EB$70","v":6843.4889841264676},null,"Auxilia-Enfranchised children-139"]
[null,null,212,{"$f":"MODEL!GV$70","v":0},null,"Auxilia-Enfranchised children-212"]
[null,"Total enfranchisements",15,{"$f":"MODEL!G71","v":1796.7951919281115},null,"Auxilia-Total enfranchisements-15"]
[null,null,50,{"$f":"MODEL!AP$71","v":3610.4343283318703},null,"Auxilia-Total enfranchisements-50"]
[null,null,100,{"$f":"MODEL!CN$71","v":5612.450858434313},null,"Auxilia-Total enfranchisements-100"]
[null,null,139,{"$f":"MODEL!EB$71","v":10265.233476189702},null,"Auxilia-Total enfranchisements-139"]
[null,null,212,{"$f":"MODEL!GV$71","v":2326.0803324099729},null,"Auxilia-Total enfranchisements-212"]
["Fleets","Recruits",15,{"$f":"MODEL!G103","v":1141.0256410256411},null,"Fleets-Recruits-15"]
[null,null,50,{"$f":"MODEL!AP$103","v":1141.0256410256411},null,"Fleets-Recruits-50"]
[null,null,100,{"$f":"MODEL!CN$103","v":1141.0256410256411},null,"Fleets-Recruits-100"]
[null,null,139,{"$f":"MODEL!EB$103","v":1141.0256410256411},null,"Fleets-Recruits-139"]
[null,null,212,{"$f":"MODEL!GV$103","v":1141.0256410256411},null,"Fleets-Recruits-212"]
[null,"Surviving to grant",15,{"$f":"MODEL!G107","v":547.69230769230774},null,"Fleets-Surviving to grant-15"]
[null,null,50,{"$f":"MODEL!AP$107","v":547.69230769230774},null,"Fleets-Surviving to grant-50"]
[null,null,100,{"$f":"MODEL!CN$107","v":547.69230769230774},null,"Fleets-Surviving to grant-100"]
[null,null,139,{"$f":"MODEL!EB$107","v":547.69230769230774},null,"Fleets-Surviving to grant-139"]
[null,null,212,{"$f":"MODEL!GV$107","v":547.69230769230774},null,"Fleets-Surviving to grant-212"]
[null,"Enfranchised soldiers",15,{"$f":"MODEL!G126","v":273.84615384615387},null,"Fleets-Enfranchised soldiers-15"]
[null,null,50,{"$f":"MODEL!AP$126","v":547.69230769230774},null,"Fleets-Enfranchised soldiers-50"]
[null,null,100,{"$f":"MODEL!CN$126","v":547.69230769230774},null,"Fleets-Enfranchised soldiers-100"]
[null,null,139,{"$f":"MODEL!EB$126","v":547.69230769230774},null,"Fleets-Enfranchised soldiers-139"]
[null,null,212,{"$f":"MODEL!GV$126","v":547.69230769230774},null,"Fleets-Enfranchised soldiers-212"]
[null,"Enfranchised children",15,{"$f":"MODEL!G127","v":71.2},null,"Fleets-Enfranchised children-15"]
[null,null,50,{"$f":"MODEL!AP$127","v":142.4},null,"Fleets-Enfranchised children-50"]
[null,null,100,{"$f":"MODEL!CN$127","v":260.80586080586079},null,"Fleets-Enfranchised children-100"]
[null,null,139,{"$f":"MODEL!EB$127","v":764.03076923076935},null,"Fleets-Enfranchised children-139"]
[null,null,212,{"$f":"MODEL!GV$127","v":260.15384615384619},null,"Fleets-Enfranchised children-212"]
[null,"Total enfranchisements",15,{"$f":"MODEL!G128","v":345.04615384615386},null,"Fleets-Total enfranchisements-15"]
[null,null,50,{"$f":"MODEL!AP$128","v":690.09230769230771},null,"Fleets-Total enfranchisements-50"]
[null,null,100,{"$f":"MODEL!CN$128","v":808.49816849816852},null,"Fleets-Total enfranchisements-100"]
[null,null,139,{"$f":"MODEL!EB$128","v":1311.7230769230771},null,"Fleets-Total enfranchisements-139"]
[null,null,212,{"$f":"MODEL!GV$128","v":807.84615384615392},null,"Fleets-Total enfranchisements-212"]
["Legions","Recruits",15,{"$f":"+MODEL!G161","v":6674.9999999999991},null,"Legions-Recruits-15"]
[null,null,50,{"$f":"MODEL!AP$161","v":7208.9999999999991},null,"Legions-Recruits-50"]
[null,null,100,{"$f":"MODEL!CN$161","v":7145.2947368421055},null,"Legions-Recruits-100"]
[null,null,139,{"$f":"MODEL!EB$161","v":6898.9052631578952},null,"Legions-Recruits-139"]
[null,null,212,{"$f":"MODEL!GV$161","v":8130.8526315789477},null,"Legions-Recruits-212"]
[null,"Of whom peregrines",15,{"$f":"+MODEL!G180","v":865.55871212121212},null,"Legions-Of whom peregrines-15"]
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[null,"Veterans",15,{"$f":"+MODEL!G170","v":4004.9999999999991},null,"Legions-Veterans-15"]
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[null,null,100,{"$f":"MODEL!CN$170","v":4107.2950617283932},null,"Legions-Veterans-100"]
[null,null,139,{"$f":"MODEL!EB$170","v":3695.8421052631579},null,"Legions-Veterans-139"]
[null,null,212,{"$f":"MODEL!GV$170","v":3695.8421052631579},null,"Legions-Veterans-212"]
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[null,"Total",null,{"$f":"SUM(MODEL!G187:GV187)","v":3600652.1730026598},null,"Recruits 15-212-Total"]
["Veterans","Total",null,{"$f":"SUM(MODEL!G195:GV195)","v":1721523.7435246003},null,"Veterans 15-212-Total"]
["15-212","Citizen units",null,{"$f":"SUM(MODEL!G200:GV200)","v":922430.60119841259},null,"Veterans 15-212-Citizen units"]
[null,"Peregrine units",null,{"$f":"SUM(MODEL!G201:GV201)","v":799093.14232618385},null,"Veterans 15-212-Peregrine units"]
["Misc","Auxilia grants if no citizen recruits",null,{"$f":"SUM(MODEL!G73:GV73)","v":1383038.5321866914},null,"Auxilia-15-212-Total-if no citizens"]
[null,"Total grants if no citizen recruits to auxilia",null,{"$f":"SUM(MODEL!G73:GV73)+SUM(MODEL!G128:GV128)+SUM(MODEL!G182:GV182)","v":1684258.1575763423},null,"Total-15-212-Total-if no citizens"]
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["NO DATA CAPTURE BEYOND HERE"]
[225]

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{"sheet":"Monte Carlo analysis","index":7,"n_rows":135,"n_cols":19,"rows_kept":135,"cut":false,"hidden":false,"merged":[]}
["OUTPUT",null,null,"Column number","Baseline","Min","Max","Mean","Min obs",null,null,null,null,"PERCENTILES",null,null,null,null,"Max obs"]
["COUNT",{"$f":"COUNT(Simulations!B:B)","v":1000},null,null,"BLANK",null,null,null,null,0.01,2.5000000000000001E-2,0.1,0.5,0.9,0.95,0.96,0.97499999999999998,0.99]
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[null,"Total",null,129,3600652.1730026598,null,null,{"$f":"AVERAGE(INDIRECT(ADDRESS(1,$D130,,,\"Simulations\")):INDIRECT(ADDRESS($B$2,$D130,,,\"Simulations\")))","v":3610968.1022598697},{"$f":"MIN(INDIRECT(ADDRESS(1,$D130,,,\"Simulations\")):INDIRECT(ADDRESS($B$2,$D130,,,\"Simulations\")))","v":3014451.4087025197},{"$f":"_xlfn.PERCENTILE.INC(INDIRECT(ADDRESS(1,$D130,,,\"Simulations\")):INDIRECT(ADDRESS($B$2,$D130,,,\"Simulations\")),J$2)","v":3184489.8916482823},{"$f":"_xlfn.PERCENTILE.INC(INDIRECT(ADDRESS(1,$D130,,,\"Simulations\")):INDIRECT(ADDRESS($B$2,$D130,,,\"Simulations\")),K$2)","v":3234445.565445981},{"$f":"_xlfn.PERCENTILE.INC(INDIRECT(ADDRESS(1,$D130,,,\"Simulations\")):INDIRECT(ADDRESS($B$2,$D130,,,\"Simulations\")),L$2)","v":3366151.305295324},{"$f":"_xlfn.PERCENTILE.INC(INDIRECT(ADDRESS(1,$D130,,,\"Simulations\")):INDIRECT(ADDRESS($B$2,$D130,,,\"Simulations\")),M$2)","v":3611977.8837943617},{"$f":"_xlfn.PERCENTILE.INC(INDIRECT(ADDRESS(1,$D130,,,\"Simulations\")):INDIRECT(ADDRESS($B$2,$D130,,,\"Simulations\")),N$2)","v":3860952.5318201543},{"$f":"_xlfn.PERCENTILE.INC(INDIRECT(ADDRESS(1,$D130,,,\"Simulations\")):INDIRECT(ADDRESS($B$2,$D130,,,\"Simulations\")),O$2)","v":3924537.7847605343},{"$f":"_xlfn.PERCENTILE.INC(INDIRECT(ADDRESS(1,$D130,,,\"Simulations\")):INDIRECT(ADDRESS($B$2,$D130,,,\"Simulations\")),P$2)","v":3938685.4118172457},{"$f":"_xlfn.PERCENTILE.INC(INDIRECT(ADDRESS(1,$D130,,,\"Simulations\")):INDIRECT(ADDRESS($B$2,$D130,,,\"Simulations\")),Q$2)","v":3962646.7941658022},{"$f":"_xlfn.PERCENTILE.INC(INDIRECT(ADDRESS(1,$D130,,,\"Simulations\")):INDIRECT(ADDRESS($B$2,$D130,,,\"Simulations\")),R$2)","v":4029341.1765995999},{"$f":"MAX(INDIRECT(ADDRESS(1,$D130,,,\"Simulations\")):INDIRECT(ADDRESS($B$2,$D130,,,\"Simulations\")))","v":4154981.9309771387}]
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{"sheet":"Histogram","index":8,"n_rows":98,"n_cols":7,"rows_kept":98,"cut":false,"hidden":false,"merged":[]}
["DATA FOR HISTOGRAM"]
[]
[]
[]
[]
["Count",{"$f":"COUNT(Simulations!B:B)","v":1000}]
["Min",{"$f":"MIN(Simulations!$C$21:$NTR$21)","v":0}]
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