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{"sheet":"Design","index":0,"n_rows":95,"n_cols":11,"rows_kept":95,"cut":false,"hidden":false,"merged":[[84,3,84,5],[85,3,85,5],[86,3,86,5],[79,3,79,5],[80,3,80,5],[81,3,81,5],[82,3,82,5],[83,3,83,5],[64,3,64,5],[65,3,65,5],[68,3,68,5],[69,3,69,5],[74,0,74,5],[77,3,77,5],[78,3,78,5],[70,3,70,5],[71,3,71,5],[72,3,72,5],[73,3,73,5],[75,3,75,5],[76,3,76,5],[42,3,42,5],[45,3,45,5],[57,3,57,5],[63,3,63,5],[50,3,50,5],[52,3,52,5],[60,3,60,5],[62,3,62,5],[58,3,58,5],[54,3,54,5],[46,0,46,5],[94,0,97,5],[61,0,61,5],[35,3,35,5],[1,0,1,5],[15,1,15,2],[38,3,38,5],[39,3,39,5],[16,1,16,2],[28,3,28,5],[30,3,30,5],[32,3,32,5],[13,0,13,2],[13,4,13,5],[15,4,15,5],[19,0,19,5],[17,0,17,5],[0,0,0,5],[56,0,56,5],[23,0,23,5],[16,8,16,11],[29,4,29,5],[44,10,44,13],[44,3,44,5],[27,0,27,5],[34,0,34,5],[33,3,33,5],[55,3,55,5],[47,3,47,5],[49,3,49,5],[18,3,18,5],[40,3,40,5],[41,3,41,5]]}
["ALLEGRO ALT80802 DESIGN SPREADSHEET BUCK- Rev. 2.0"]
["INSTRUCTIONS:   Enter design goals and component values in the white boxes.\nEnsure \"Iterative Calculation\" is enabled under File -> Options -> Formulas"]
["VARIABLES","MIN","TYP","MAX","UNITS","COMMENTS"]
["Vin",10,13.5,18,"V",{"$f":"IF(COUNTIF(Efficiency!Z5:Z48,\"dropout\")<1,IF(B4<Constants!B3,\"Vin_min is lower than minimum VIN level\",IF(D4>Constants!D3,\"Vin_max is higher than maximum VIN level\",\"Steady-state input operating voltages\")),\"Circuit may operate in dropout condition\")","v":"Steady-state input operating voltages"}]
["LED Current Target","‒",0.7,"‒","A",{"$f":"IF(COUNTIF(Efficiency!Z5:Z48,\"TSD\")>0,\"IC may overheat!\",\"Desired output Current\")","v":"Desired output Current"}]
["Number of LEDs","‒",2,"‒","‒"]
["LED Forward Voltage","‒",3.05,"‒","V","Typical value @ target LED current "]
["RLED ","‒",0.9,"‒","Ω","LED resistance @ operating current "]
["CS Resistor Tolerance","‒",1,1.6,"%","1% initial tolerance + 100ppm @ 60°C rise"]
["Lo_tolerance",-20,"‒",20,"%","Output inductor tolerances"]
["RTHJA","‒",45,"‒","°C/W","Thermal resistance, 4 layer PCB"]
["Desired fsw","‒",2,"‒","MHz","Desired Switching Frequency"]
["TAMB","‒","‒",85,"°C","Maximum steady-state ambient temperature"]
["DIODE (D1) CHARACTERIZATION",null,null,"UNITS","COMMENTS"]
["VF_nominal",0.35,0.42,"A   |   VF","VF at nominal output current"]
["VF, Temp. Coeff.",-1,null,"mV/°C","Estimated value from the datasheet for D1"]
["RTHAVG",55,null,"°C/W","Value from the data sheet for D1 (average of min/max)",null,null,null,"Diode D1:  Example I-V Characteristics"]
["**** Note:  The applications schematic is shown at the bottom of this TAB. ****                                                                                                                                                                                                                                                                                                       Schematic component values are shown in BLUE."]
["COMPONENT","VALUE","UNITS","COMMENTS"]
[" Feedback Component Calculations  (Must enter RSENSE values for the remaining calculations to be accurate)"]
["RSENSE_calc",{"$f":"(Constants!C4)/(Design!C5)","v":0.28571428571428575},"Ω","Recommended CS resistor"]
["RSENSE = ",0.28599999999999998,"Ω","Choose a standard resistor value, or combination of values"]
[]
[" Typical & Worst Case Output Current Calculations:"]
["Iout  (min|typ|max)",{"$f":"Constants!B4/(RFB_1*(1+C9/100))","v":0.66468185280066472},{"$f":"Constants!C4/RFB_1","v":0.69930069930069938},{"$f":"Constants!D4/(RFB_1*(1-C9/100))","v":0.73461891643709831},"Includes worst case IC & component variations vs. temperature"]
["Output Voltage","‒",{"$f":"C6*C7+V_cs","v":6.3},"‒"]
["System Duty Cycle",{"$f":"MIN(Efficiency!D6:D25)","v":0.37338372781804174},{"$f":"Efficiency!D26","v":0.4950674905179242},{"$f":"MAX(Efficiency!D6:D24)","v":0.66319934809175851},"Range of system duty-cycles given Vin, Vout, Iout, VF, etc"]
[" Switching Frequency Determination:"]
["fsw_max",{"$f":"MIN($B$27/Constants!D$19/0.000000001/1000000, Constants!D16)","v":2.5},"MHz","Recommended maximum PWM frequency, before possible pulse skipping"]
["fsw = ",{"$f":"C12","v":2},"MHz","Chosen Fsw",{"$f":"IF(D27>B34,\" See the DROPOUT tab for operation approaching Vin_min \",\" \")","v":" "}]
["RFREQ",{"$f":"(IF((10^(LOG(16.256*fsw^(-1.025))-INT(LOG(16.256*fsw^(-1.025))))*100)-VLOOKUP((10^(LOG(16.256*fsw^(-1.025))-INT(LOG(16.256*fsw^(-1.025))))*100),E96_s:E96_f,1)<VLOOKUP((10^(LOG(16.256*fsw^(-1.025))-INT(LOG(16.256*fsw^(-1.025))))*100),E96_s:E96_f,2)-(10^(LOG(16.256*fsw^(-1.025))-INT(LOG(16.256*fsw^(-1.025))))*100),VLOOKUP((10^(LOG(16.256*fsw^(-1.025))-INT(LOG(16.256*fsw^(-1.025))))*100),E96_s:E96_f,1),VLOOKUP((10^(LOG(16.256*fsw^(-1.025))-INT(LOG(16.256*fsw^(-1.025))))*100),E96_s:E96_f,2)))*10^INT(LOG(16.256*fsw^(-1.025)))/100","v":8.06},"kΩ","Use the closest available 1% standard resistor value"]
["Tsw",{"$f":"1000*1/fsw","v":500},"ns","Switching period"]
["Duty CycleMIN",{"$f":"fsw*mega*Constants!C19*nano","v":0.16},{"$f":"fsw*mega*Constants!D19*nano","v":0.2},"(TYP | MAX) Minimum duty cycles at the chosen Fsw given tON,TYP, tON,MAX"]
["Duty CycleMAX",{"$f":"(Tsw-Min_tOFF_typ)/Tsw","v":0.8},"‒","(MIN | TYP) Maximum duty cycles at the chosen Fsw given tOFF,TYP, tOFF,MAX"]
[" Output Inductor Calculations:"]
["Se",{"$f":"Se_2MHz*(1/(2*mega)-0.0000001)/(1/(fsw*mega)-0.0000001)","v":3.1},"A/µs","Slope compensation at selected switching frequency "]
["Lo_min",{"$f":"(MAX(VOUT/(2*Se_p),VOUT*(1-B33)/(2*IOUT*fsw)))/(1+B10/100)","v":2.3624999999999998},"µH","Recommended minimum output inductance value "]
["Lo_max",{"$f":"2.5*VOUT/(Se_p)","v":5.0806451612903221},"µH","Recommended maximum output inductance value"]
["Lo_est",{"$f":"VOUT/Se_p*(1-0.18/D_max)","v":1.575},"µH","Optimum output inductance value for matching slope compensation "]
["Lo = ",3.3,"µH","Choose Lo, considering Lo_est (choose next highest standard value)"]
["LoDCR = ",22.36,"mΩ","Enter the output inductor's DCR, default is 35mΩ if left blank"]
["ΔILo_typ",{"$f":"(Vin_nom-VOUT)/(Lout*micro)*$C$27*Tsw*nano","v":0.54007362601955378},"APP","Typical peak to peak output inductor ripple current"]
["ΔILo_max",{"$f":"VOUT/((1+B10/100)*Lout*micro)*(1-Design!B27)/((1+Constants!B17/100)*(1-Constants!C18/100)*fsw*mega)","v":0.87446449467179177},"APP","Worst case maximum inductor ripple current"]
["Lo_I_min",{"$f":"B25-B43/2","v":0.22744960546476883},"AVALLEY","Lowest valley inductor current(At high VIN). Make sure it is above 0 to avoid DCM"]
["Lo_I_max",{"$f":"IOUT+B43/2","v":1.1372322473358958},"APEAK","This value should not exceed the inductor's specified saturation current",null,null,null,null,null,null,"Typical Schematic"]
["ILIMMARGIN",{"$f":"Constants!C30+Constants!C29*B27-B45","v":3.8117098851492326},"A","Current limit margin (minimum) before possible duty-cycle limiting"]
[" Output Capacitor and Output Voltage Ripple:",null,null,null,null,null,null,null,{"$f":"-0.000003*Vreg^4 + 0.000383*Vreg^3 - 0.015135*Vreg^2 + 0.018088*Vreg + 9.964811","v":9.9701888693840406}]
["Allowed ILED Ripple",50,"mA","Maximum peak to peak LED current ripple allowed for the application"]
["Recommended Cout",{"$f":"ΔILo_typ/(8*fsw*B48*milli*C8*C6)","v":0.37505112918024563},"µF","Recommended minimum output capacitor"]
["Capacitance at Vout",1,"µF","Actual value used ",null,null,null,null,{"$f":" IF(ISBLANK(B51),3,B51)","v":3}]
["ESR",3,"mΩ","Enter custom ESR value for selected capacitor, default is 3mΩ"]
["ΔVout",{"$f":"B42*B51+B42/(8*fsw*mega*Cout*nano)","v":35.374822504280772},"mV","Estimated typical output peak to peak voltage ripple"]
["ΔIout",{"$f":"B52/(RLED*C6)","v":19.652679169044873},"mA","Estimated typical output peak to peak current ripple"]
[" Asynchronous Diode Requirement:"]
["VR",{"$f":"Constants!D3*1.2","v":60},null,"The asynchronous diode must be rated for this voltage"]
["IF,RMS",{"$f":"Iout_typ*SQRT(1-B27)*SQRT(1+(B43/Iout_typ)^2*1/12)","v":0.58852299242292005},"ARMS","The asynchronous diode must be rated to support at least this much current"]
[" Input Capacitor Requirements:"]
["Allowed input ripple ",50,"mV","Maximum peak to peak input voltage ripple allowed for the application"]
["Cin_min",{"$f":"IF(D27>=0.5,IF(B27<=0.5,IOUT/(4*0.8*fsw*B58*10^-3),IOUT*(B27)*(1-B27)/(0.8*fsw*B58*10^-3)),IOUT*(D27)*(1-D27)/(0.8*fsw*B58*10^-3))","v":2.1875},"µF","Recommended minimum input with 50mV ripple"]
["Cin_selected",4.7,"µF","Selected input cap"]
["Cin_IRMS",{"$f":"IF(D27>=0.5,IF(B27<=0.5,SQRT(IOUT^2*0.25+0.5*B43^2/12),SQRT(IOUT^2*B27*(1-B27)+B27*B43^2/12)),SQRT(IOUT^2*D27*(1-D27)+D27*B43^2/12))","v":0.39288930546877066},"ARMS","Input capacitance RMS current requirement (please check the temp. rise characteristics) "]
[" Compensation Components:"]
["fcMAX",{"$f":"MIN(1000*IF(ISBLANK(B30),B29,B30)/11,75)","v":75},"kHz","Recommended maximum 0dB crossover frequency of the system"]
["fc =",60,"kHz","Choose fc considering fcMAX.  Higher fc = faster system, lower stability margins"]
["R_LOADTYP",{"$f":"RLED","v":0.9},"Ω","Compensation is based on average current: ΔILo/2 < Iout < IoutMAX"]
["fP(PS)",{"$f":"1000/(2*PI()*RLED*Cout)","v":176.83882565766149},"kHz","Dominant pole formed by the output capacitance and the load"]
["Loop Gain (dB) ",{"$f":"20*LOG10(gm_POWER)+20*LOG10(RFB_1)+Constants!C10","v":68.212170851367361},null,"DC overall loop gain"]
["fP(ea)_target",{"$f":"fc*kilo/(10^(B67/20))","v":23.310023310023301},null,"Target error amplifier pole"]
["Rz",{"$f":"1000/(2*PI()*B72*B66)","v":1.0975609756097562},"kΩ","Recommended compensation resister to achieve fc"]
["Actual Rz",1.1000000000000001,"kΩ","Choose the closest available 1% standard resister value"]
["Cz",{"$f":"1*giga/(2*PI()*Constants!C12*mega*Design!B68)","v":0.81932964703707778},"nF","Recommended compensation capacitor, use closest available value"]
["Actual Cz",0.82,"nF","Chosen Cz"]
["Cp",22,"pF","Recommended HF compensation capacitor, use closest available value"]
["Actual Cp",22,"pF","Chosen Cp"]
["Optional Binning Components"]
["Bin 1 (maximum current)",100,"%","Maximum current with no binning resistor"]
["Bin 2",90,"%","Current value as a percentage for maximum current"]
["Bin 3",80,"%","Current value as a percentage for maximum current"]
["Bin 4  (Minimum current)",70,"%","Current value as a percentage for maximum current"]
["Lowest Bin Coefficient",0.95,null,"Must be less than 1. Change value to fine tune BINNING accuracy"]
["R2",2,"kΩ","Enter R2 in kΩ, recommend 1kΩ to 3 kΩ",null,null,null,null,null,{"$f":"R_3","v":118.00000000000001}]
[]
["Recommended R1",{"$f":"IF(I91<1,I91*1000,I91)","v":1},null,null,null,null,null,null,null,null,{"$f":"R_1","v":1}]
["Recommended R2",{"$f":"IF(B81<1,B81*1000,B81)","v":2}]
["Recommended R3",{"$f":"IF(I92<1,I92*1000,I92)","v":118.00000000000001},null,null,null,null,null,null,null,{"$f":"R_2","v":2}]
["Recommended Rsense",{"$f":"((I91+B81)/B81*V_cs)/Iout_typ","v":0.42899999999999999}]
["Estimated Power Loss",{"$f":"MAX(E90:E93)","v":0.20979020979020982},null,null,null,null,null,null,null,null,{"$f":"Rsense","v":0.42899999999999999}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"B87","v":0.20979020979020982}]
["NONE",null,"Iout","Actual %","Rsense Power","VLED-"]
["BIN1","Open",{"$f":"(I91+B81)/B81*V_cs/Rsense","v":0.69930069930069938},1,{"$f":"C90^2*Rsense","v":0.20979020979020982},{"$f":"C90*Rsense","v":0.30000000000000004},null,null,null,"Coefficient"]
["BIN2",{"$f":"IF(I93<1,I93*1000,I93)","v":2.21},{"$f":"((I91*(I93+I92))/(I91+I93+I92)+B81)/B81*V_cs/Rsense","v":0.62925856195086971},{"$f":"1+(C91-C90)/C90","v":0.89983974358974361},{"$f":"C91^2*Rsense","v":0.16986955891125641},{"$f":"C91*Rsense","v":0.26995192307692312},"R1",{"$f":"(1-BIN4_Coeff)/BIN4_Coeff*R_2k","v":1.0075187969924815},{"$f":"(IF((10^(LOG(H91)-INT(LOG(H91)))*100)-VLOOKUP((10^(LOG(H91)-INT(LOG(H91)))*100),E96_s:E96_f,1)<VLOOKUP((10^(LOG(H91)-INT(LOG(H91)))*100),E96_s:E96_f,2)-(10^(LOG(H91)-INT(LOG(H91)))*100),VLOOKUP((10^(LOG(H91)-INT(LOG(H91)))*100),E96_s:E96_f,1),VLOOKUP((10^(LOG(H91)-INT(LOG(H91)))*100),E96_s:E96_f,2)))*10^INT(LOG(H91))/100","v":1}]
["BIN3",{"$f":"IF(I94<1,I94*1000,I94)","v":549},{"$f":"((I91*(I94+I92))/(I91+I94+I92)+B81)/B81*V_cs/Rsense","v":0.55946852587524454},{"$f":"1+(C92-C90)/C90","v":0.80003999200159959},{"$f":"C92^2*Rsense","v":0.13427915848991323},{"$f":"C92*Rsense","v":0.24001199760047989},"R3",{"$f":"(1-Bin_Coeff)/Bin_Coeff*R_2k*R_1k/(R_1k-(1-Bin_Coeff)/Bin_Coeff*R_2k)","v":0.11764705882352955},{"$f":"(IF((10^(LOG(H92)-INT(LOG(H92)))*100)-VLOOKUP((10^(LOG(H92)-INT(LOG(H92)))*100),E96_s:E96_f,1)<VLOOKUP((10^(LOG(H92)-INT(LOG(H92)))*100),E96_s:E96_f,2)-(10^(LOG(H92)-INT(LOG(H92)))*100),VLOOKUP((10^(LOG(H92)-INT(LOG(H92)))*100),E96_s:E96_f,1),VLOOKUP((10^(LOG(H92)-INT(LOG(H92)))*100),E96_s:E96_f,2)))*10^INT(LOG(H92))/100","v":0.11800000000000001},{"$f":"BIN_4/100*Bin_Coeff","v":0.66499999999999992}]
["BIN4","Short",{"$f":"((I91*I92)/(I91+I92)+B81)/B81*V_cs/Rsense","v":0.49080317416632269},{"$f":"1+(C93-C90)/C90","v":0.70184853905784128},{"$f":"C93^2*Rsense","v":0.10334084722607546},{"$f":"C93*Rsense","v":0.21055456171735243},"Rbin2",{"$f":"(1-BIN2_Coeff)/BIN2_Coeff*R_2k*R_1k/(R_1k-(1-BIN2_Coeff)/BIN2_Coeff*R_2k)-R_3k","v":2.2153333333333354},{"$f":"(IF((10^(LOG(H93)-INT(LOG(H93)))*100)-VLOOKUP((10^(LOG(H93)-INT(LOG(H93)))*100),E96_s:E96_f,1)<VLOOKUP((10^(LOG(H93)-INT(LOG(H93)))*100),E96_s:E96_f,2)-(10^(LOG(H93)-INT(LOG(H93)))*100),VLOOKUP((10^(LOG(H93)-INT(LOG(H93)))*100),E96_s:E96_f,1),VLOOKUP((10^(LOG(H93)-INT(LOG(H93)))*100),E96_s:E96_f,2)))*10^INT(LOG(H93))/100","v":2.21},{"$f":"R_2k/(R_2k+R_1k)/(BIN_2/100)","v":0.7407407407407407}]
[null,null,null,null,null,null,"Rbin3",{"$f":"(1-J94)/J94*R_2k*R_1k/(R_1k-(1-J94)/J94*R_2k)-R_3k","v":0.54866666666666719},{"$f":"(IF((10^(LOG(H94)-INT(LOG(H94)))*100)-VLOOKUP((10^(LOG(H94)-INT(LOG(H94)))*100),E96_s:E96_f,1)<VLOOKUP((10^(LOG(H94)-INT(LOG(H94)))*100),E96_s:E96_f,2)-(10^(LOG(H94)-INT(LOG(H94)))*100),VLOOKUP((10^(LOG(H94)-INT(LOG(H94)))*100),E96_s:E96_f,1),VLOOKUP((10^(LOG(H94)-INT(LOG(H94)))*100),E96_s:E96_f,2)))*10^INT(LOG(H94))/100","v":0.54900000000000004},{"$f":"R_2k/(R_2k+R_1k)/(BIN_3/100)","v":0.83333333333333326}]
["*The results from this design tool serve as a guideline for components selection. However, these results are based on ideal conditions when the circuit is in steady state and in CCM mode. It may not reflect real circuit performance. "]

{"sheet":"Efficiency","index":1,"n_rows":51,"n_cols":27,"rows_kept":51,"cut":false,"hidden":false,"merged":[[3,1,3,2],[3,3,3,6],[0,0,1,25],[2,0,2,11]]}
["INSTRUCTIONS:  No values need to be entered here, all values are derived from the DESIGN tab"]
[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,0]
["If iteration error occurs, please set 'Reset' to 1 and then 0",null,null,null,null,null,null,null,null,null,null,null,"Reset=",0,null,"If not in normal operation, the calculation result is not valid",null,null,null,null,null,null,null,null,null,null,1]
[null,{"$f":"IOUT","v":0.7},null,{"$f":"IF($I$4=\"None\",VOUT,VOUT-V_cs+VLOOKUP($I$4,Design!A90:F93,6))","v":6.3999999999999995},null,null,null,"Binning?","BIN1"]
["T (°C)","VIN","VF","Duty","TON(ns)","TOFF","ΔIL","PIQ","Psw","Pcond","PDRIVER","PIC","PD1","PIND","PSNUB","PSENSE","TJD1","TJIC","RDSon","VOSAT","VOUT","PLOSS_tol","POUT","PIN","Efficiency","Operating Condition "]
[25,{"$f":"Design!B4","v":10},{"$f":"IF(RESET=1,VF,VF+(Q6-25)*Design!$B$16/1000)","v":0.41462364767885967},{"$f":"IF(RESET=1,$D$4/B6,MIN(($D$4+C6+IOUT*DCR*(1+(R6-25)*TCR_Cu/100)/1000)/(B6-IOUT*S6/1000+C6),(Tsw-Min_tOFF_typ)/Tsw))","v":0.66319934809175851},{"$f":"IF(D6>=(Tsw-Min_tOFF_typ)/Tsw,Tsw-Min_tOFF_typ,IF(Tsw*D6>Constants!$C$19,Tsw*D6,Constants!$C$19))","v":331.59967404587928},{"$f":"IF(E6=Constants!$C$19,Tsw-Constants!$C$19,IF(Tsw*(1-Efficiency!D6)>Min_tOFF_typ,Tsw*(1-Efficiency!D6),Min_tOFF_typ))","v":168.40032595412075},{"$f":"(B6-VOUT)/(Lout*micro)*D6*Tsw*nano","v":0.37179357393022833},{"$f":"B6*Iq*milli","v":0.05},{"$f":"B6*$B$4*(B6/(Slew_rise*10^9)*fsw*10^6/2+B6/(Slew_fall*10^9)*fsw*10^6/2)","v":0.105},{"$f":"(D6*($B$4^2+G6^2/12))*S6*10^-3","v":5.4335813793280813E-2},{"$f":"Qg*10^-9*B6*fsw*10^6","v":9.9999999999999992E-2},{"$f":"SUM(H6:K6)","v":0.30933581379328079},{"$f":"($B$4)*C6*(1-D6)","v":9.7751860384369088E-2},{"$f":"($B$4^2+G6^2/12)*DCR/1000+($B$4^2+G6^2/12)^2*DCR/1000*(R6-25)*(Constants!$C$32/100)","v":1.1521637338937799E-2},{"$f":"0.5*C_SNUB*10^-12*B6^2*fsw*10^6","v":4.7000000000000007E-2},{"$f":"IF($I$4=\"None\",V_cs^2/RFB_1,VLOOKUP($I$4,Design!$A$90:$F$93,5))","v":0.20979020979020982},{"$f":"$A6+M6*RthJA","v":30.376352321140299},{"$f":"MIN(L6*RthJA_IC+$A6,190)","v":38.920111620697639},{"$f":"IF(RESET=1,Rdson,Rdson+Rdson*TCR_RdsON/100*(Efficiency!R6-25))","v":163.36330715586973},{"$f":"(1-Min_tOFF_typ*10^-9*fsw*10^6) * (B6+C6-$B$4*S6/1000) - (C6+$B$4*DCR/1000)","v":7.8099398184569413},{"$f":"IF(T6>$D$4,$D$4,T6)","v":6.3999999999999995},{"$f":"SUM(L6:P6)","v":0.67539952130679748},{"$f":"U6*$B$4","v":4.4799999999999995},{"$f":"V6+W6","v":5.1553995213067969},{"$f":"W6/(W6+V6)","v":0.86899181750794818},{"$f":"IF(R6>Constants!$C$31,\"TSD\",IF(OR(E6=Constants!$C$19,Efficiency!F6=Min_tOFF_typ),IF(E6=Constants!$C$19,\"Pulse Skip\",\"Dropout\"),\"Normal\"))","v":"Normal"}]
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["T (°C)","VIN","VF","Duty","TON(ns)","TOFF","ΔIL","PIQ","Psw","Pcond","PDRIVER","PIC","PD1","PIND","PSNUB","PSENSE","TJD1","TJIC","RDSon","VOSAT","VOUT","PLOSS_tol","POUT",null,"Efficiency","Operating Condition "]
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[{"$f":"Design!$D$13","v":85},11.684210526315788,{"$f":"IF(RESET=1,VF,VF+(Q32-25)*Design!$B$16/1000)","v":0.3541396598322587},0.570179098817573,{"$f":"IF(F32=Min_tOFF_typ,Tsw-Min_tOFF_typ,IF(Tsw*Efficiency!D32>Constants!$C$19,Tsw*Efficiency!D32,Constants!$C$19))","v":285.08954940878652},{"$f":"IF(E32=Constants!$C$19,Tsw-Constants!$C$19,IF(Tsw*(1-Efficiency!D32)>Min_tOFF_typ,Tsw*(1-Efficiency!D32),Min_tOFF_typ))","v":214.9104505912135},0.46514610693012526,5.8421052631578936E-2,0.14334681440443209,6.4934652130112777E-2,0.11684210526315789,0.38354462442928172,0.1065516394134777,{"$f":"($B$4^2+G32^2/12)*DCR/1000+($B$4^2+G32^2/12)^2*DCR/1000*(R32-25)*(Constants!$C$32/100)","v":1.3111798708764794E-2},6.4164764542936265E-2,{"$f":"IF($I$4=\"None\",V_cs^2/RFB_1,VLOOKUP($I$4,Design!$A$90:$F$93,5))","v":0.20979020979020982},90.860340167741271,102.25950809931769,{"$f":"IF(RESET=1,Rdson,Rdson+Rdson*TCR_RdsON/100*(Efficiency!R32-25))","v":224.16912777534498},9.135353777531984,6.3999999999999995,0.77716303688467026,4.4799999999999995,5.2571630368846698,0.85217064195421877,{"$f":"IF(R32>Constants!$C$31,\"TSD\",IF(OR(E32=Constants!$C$19,Efficiency!F32=Min_tOFF_typ),IF(E32=Constants!$C$19,\"Pulse Skip\",\"Dropout\"),\"Normal\"))","v":"Normal"}]
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[{"$f":"Design!$D$13","v":85},12.526315789473681,{"$f":"IF(RESET=1,VF,VF+(Q34-25)*Design!$B$16/1000)","v":0.35363459056575819},0.53246850169324222,{"$f":"IF(F34=Min_tOFF_typ,Tsw-Min_tOFF_typ,IF(Tsw*Efficiency!D34>Constants!$C$19,Tsw*Efficiency!D34,Constants!$C$19))","v":266.23425084662114},{"$f":"IF(E34=Constants!$C$19,Tsw-Constants!$C$19,IF(Tsw*(1-Efficiency!D34)>Min_tOFF_typ,Tsw*(1-Efficiency!D34),Min_tOFF_typ))","v":233.76574915337889},0.50232076355909516,6.2631578947368413E-2,0.16475401662049852,6.1355792555700596E-2,0.12526315789473683,0.41400454601830439,0.11573471698621403,{"$f":"($B$4^2+G34^2/12)*DCR/1000+($B$4^2+G34^2/12)^2*DCR/1000*(R34-25)*(Constants!$C$32/100)","v":1.3231004846029485E-2},7.3747036011080305E-2,{"$f":"IF($I$4=\"None\",V_cs^2/RFB_1,VLOOKUP($I$4,Design!$A$90:$F$93,5))","v":0.20979020979020982},91.365409434241769,103.63020457082369,{"$f":"IF(RESET=1,Rdson,Rdson+Rdson*TCR_RdsON/100*(Efficiency!R34-25))","v":225.48499638799075},9.8084021154885175,6.3999999999999995,0.82650751365183805,4.4799999999999995,5.3065075136518374,0.84424642544545248,{"$f":"IF(R34>Constants!$C$31,\"TSD\",IF(OR(E34=Constants!$C$19,Efficiency!F34=Min_tOFF_typ),IF(E34=Constants!$C$19,\"Pulse Skip\",\"Dropout\"),\"Normal\"))","v":"Normal"}]
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[{"$f":"Design!$D$13","v":85},17.578947368421051,{"$f":"IF(RESET=1,VF,VF+(Q46-25)*Design!$B$16/1000)","v":0.35162323414200453},0.38121741441568613,{"$f":"IF(F46=Min_tOFF_typ,Tsw-Min_tOFF_typ,IF(Tsw*Efficiency!D46>Constants!$C$19,Tsw*Efficiency!D46,Constants!$C$19))","v":190.60870720784305},{"$f":"IF(E46=Constants!$C$19,Tsw-Constants!$C$19,IF(Tsw*(1-Efficiency!D46)>Min_tOFF_typ,Tsw*(1-Efficiency!D46),Min_tOFF_typ))","v":309.39129279215695},0.65147441713940613,8.7894736842105262E-2,0.32447036011080327,4.7074075161787125E-2,0.17578947368421052,0.63522864579890614,0.1523048337817357,{"$f":"($B$4^2+G46^2/12)*DCR/1000+($B$4^2+G46^2/12)^2*DCR/1000*(R46-25)*(Constants!$C$32/100)","v":1.3895824116396638E-2},0.14523911357340719,{"$f":"IF($I$4=\"None\",V_cs^2/RFB_1,VLOOKUP($I$4,Design!$A$90:$F$93,5))","v":0.20979020979020982},93.376765857995466,113.58528906095077,{"$f":"IF(RESET=1,Rdson,Rdson+Rdson*TCR_RdsON/100*(Efficiency!R46-25))","v":235.04187749851275},13.845557796509272,6.3999999999999995,1.1564586270606556,4.4799999999999995,5.6364586270606551,0.79482531433682591,{"$f":"IF(R46>Constants!$C$31,\"TSD\",IF(OR(E46=Constants!$C$19,Efficiency!F46=Min_tOFF_typ),IF(E46=Constants!$C$19,\"Pulse Skip\",\"Dropout\"),\"Normal\"))","v":"Normal"}]
[{"$f":"Design!$D$13","v":85},{"$f":"Design!D4","v":18},{"$f":"IF(RESET=1,VF,VF+(Q47-25)*Design!$B$16/1000)","v":0.35150673917870234},0.37240413173299269,{"$f":"IF(F47=Min_tOFF_typ,Tsw-Min_tOFF_typ,IF(Tsw*Efficiency!D47>Constants!$C$19,Tsw*Efficiency!D47,Constants!$C$19))","v":186.20206586649635},{"$f":"IF(E47=Constants!$C$19,Tsw-Constants!$C$19,IF(Tsw*(1-Efficiency!D47)>Min_tOFF_typ,Tsw*(1-Efficiency!D47),Min_tOFF_typ))","v":313.79793413350365},0.66017096079939619,0.09,0.3402,4.6248660467224818E-2,0.18,0.65644866046722483,0.15442292402359351,{"$f":"($B$4^2+G47^2/12)*DCR/1000+($B$4^2+G47^2/12)^2*DCR/1000*(R47-25)*(Constants!$C$32/100)","v":1.3948105314324425E-2},0.15228,{"$f":"IF($I$4=\"None\",V_cs^2/RFB_1,VLOOKUP($I$4,Design!$A$90:$F$93,5))","v":0.20979020979020982},93.493260821297639,114.54018972102511,{"$f":"IF(RESET=1,Rdson,Rdson+Rdson*TCR_RdsON/100*(Efficiency!R47-25))","v":235.95858213218412},14.181909846170239,6.3999999999999995,1.1868898995953525,4.4799999999999995,5.6668898995953523,0.79055709205147906,{"$f":"IF(R47>Constants!$C$31,\"TSD\",IF(OR(E47=Constants!$C$19,Efficiency!F47=Min_tOFF_typ),IF(E47=Constants!$C$19,\"Pulse Skip\",\"Dropout\"),\"Normal\"))","v":"Normal"}]
[{"$f":"Design!$D$13","v":85},{"$f":"Vin_nom","v":13.5},{"$f":"IF(RESET=1,VF,VF+(Q48-25)*Design!$B$16/1000)","v":0.3531294332559981},0.49464343025857704,{"$f":"IF(F48=Min_tOFF_typ,Tsw-Min_tOFF_typ,IF(Tsw*Efficiency!D48>Constants!$C$19,Tsw*Efficiency!D48,Constants!$C$19))","v":247.32171512928852},{"$f":"IF(E48=Constants!$C$19,Tsw-Constants!$C$19,IF(Tsw*(1-Efficiency!D48)>Min_tOFF_typ,Tsw*(1-Efficiency!D48),Min_tOFF_typ))","v":252.67828487071148},0.53961101482753859,6.7500000000000004E-2,{"$f":"B48*$B$4*(B48/(Slew_rise*10^9)*fsw*10^6/2+B48/(Slew_fall*10^9)*fsw*10^6/2)","v":0.19136249999999996},{"$f":"(D48*($B$4^2+G48^2/12))*S48*10^-3","v":5.7771897579378222E-2},0.13500000000000001,{"$f":"SUM(H48:K48)","v":0.45163439757937823},0.12491939534548877,{"$f":"($B$4^2+G48^2/12)*DCR/1000+($B$4^2+G48^2/12)^2*DCR/1000*(R48-25)*(Constants!$C$32/100)","v":1.3365694062012627E-2},{"$f":"0.5*C_SNUB*10^-12*B48^2*fsw*10^6","v":8.5657500000000011E-2},{"$f":"IF($I$4=\"None\",V_cs^2/RFB_1,VLOOKUP($I$4,Design!$A$90:$F$93,5))","v":0.20979020979020982},{"$f":"$A48+M48*RthJA","v":91.870566744001877},105.32354789107202,{"$f":"IF(RESET=1,Rdson,Rdson+Rdson*TCR_RdsON/100*(Efficiency!R48-25))","v":227.11060597542914},10.586540174002559,6.3999999999999995,{"$f":"SUM(L48:P48)","v":0.88536719677708942},4.4799999999999995,{"$f":"V48+W48","v":5.3653671967770888},0.83498478961348277,{"$f":"IF(R48>Constants!$C$31,\"TSD\",IF(OR(E48=Constants!$C$19,Efficiency!F48=Min_tOFF_typ),IF(E48=Constants!$C$19,\"Pulse Skip\",\"Dropout\"),\"Normal\"))","v":"Normal"}]
[]
[{"$f":"B6","v":10},170]
[{"$f":"B25","v":18},170]

{"sheet":"Snubber","index":2,"n_rows":33,"n_cols":11,"rows_kept":33,"cut":false,"hidden":false,"merged":[[7,5,7,8],[8,0,8,8],[9,3,9,8],[10,0,10,8],[0,0,0,8],[1,0,1,8],[2,5,2,8],[3,5,3,8],[5,5,5,8],[6,5,6,8]]}
["ALLEGRO ALT80802 DESIGN SPREADSHEET"]
["INSTRUCTIONS:   Enter design goals and component values in the white boxes."]
["VARIABLES","MIN","TYP","MAX","UNITS","COMMENTS"]
["LX resonance, FLX","‒",135,"‒","MHz","Measured LX resonant frequency"]
["LX resonance, TLX","‒",{"$f":"1000000000/(C4*1000000)","v":7.4074074074074074},"‒","ns","LX resonance period"]
["Capacitance of D1","‒",120,"‒","pF","Estimated D1 capacitance at VinTYP"]
["Capacitance, other","‒",50,"‒","pF","Estimated FET + PCB trace capacitance"]
["Snubber ‒3dB freq.","‒",2.5,"‒","Multiple of fLX","Start with 2.5, decrease for more damping"]
["**** Note:  The applications schematic is shown at the bottom of this TAB. ****\nSchematic component values are shown in BLUE."]
["COMPONENT","VALUE","UNITS","COMMENTS"]
["Snubber Component Calculations:"]
["LEQ",{"$f":"1000000000*(C5/1000000000)^2/(4*3.14^2*(C6/1000000000000+C7/1000000000000))","v":8.1839742483459119},"nH","Equivalent inductance, given fLX and CTOTAL"]
["RSNUB",{"$f":"SQRT(B12*0.000000001/(C6*0.000000000001+C7*0.000000000001))","v":6.9383733677476647},"Ω","Snubber resistance, use the closest available standard value"]
["RSNUB = ",6.81,"Ω","Enter the snubber resister value"]
["CSNUB",{"$f":"1000000000000/C8*(C5/1000000000)/B14","v":435.09000924566271},"pF","Snubber capacitance, use the closest available standard value"]
["CSNUB = ",470,"pF","Enter the snubber capacitor value, enter \"0\" if no snubber is used",null,null,null,null,null,null,"       Diode D1: Example of Capacitance vs. VR"]
["PSNUB",{"$f":"1000*0.5*B16/1000000000000*Design!D4^2*IF(ISBLANK(Design!B30),Design!B29,Design!B30)*1000000","v":152.28},"mW","Snubber resistor power requirement at VinMAX and Fsw"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,"Typical SW frequency measurement before snubber"]

{"sheet":"Constants","index":3,"n_rows":98,"n_cols":24,"rows_kept":98,"cut":false,"hidden":false,"merged":[[21,17,21,18],[1,5,1,8],[0,0,0,8],[56,7,56,8],[56,1,56,2],[0,17,0,20],[46,17,46,18],[0,22,0,23],[1,17,1,18],[1,19,1,20],[9,22,9,23],[8,17,8,18]]}
["These values are all derived from the data sheet or lab measurements.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Std. Resistors",null,null,null,null,"C values up to 10nF"]
["PARAMETER","MIN","TYP","MAX","UNITS","COMMENTS",null,null,null,null,null,null,null,null,null,null,null,"E6",null,"E96",null,null,1,1.2]
["Input Voltage",3.8,null,50,"V","Datasheet values",null,null,null,null,null,null,null,null,null,null,null,100,150,100,102,null,1.2,1.5]
["VCS",0.192,0.2,0.20799999999999999,"V","Datasheet values",null,null,null,null,null,null,null,null,null,null,null,150,220,102,105,null,1.5,1.8]
["VCS tol",{"$f":"100*(B4-C4)/C4","v":-4.0000000000000036},"‒",{"$f":"100*(D4-C4)/C4","v":3.9999999999999893},"%","Calculated values",null,null,null,null,null,null,null,null,null,null,null,220,330,105,107,null,1.8,2.2000000000000002]
["UVLO Stop","‒",3,3.3,"V","Datasheet values",null,null,null,null,null,null,null,null,null,null,null,330,470,107,110,null,3.3,3.9]
["UVLO Hysteresis",300,"‒","‒","mV","Datasheet value",null,null,null,null,null,null,null,null,null,null,null,470,680,110,113,null,4.7,5.6]
["UVLO Multiplier","‒",0.5,"‒","‒","Chosen value, allows for margin",null,null,null,null,null,null,null,null,null,null,null,680,1000,113,115,null,6.8,8.1999999999999993]
["Maximum output Voltage ",16,18,20,"V","Datasheet values",null,null,null,null,null,null,null,null,null,null,null,"E12",null,115,118,null,8.1999999999999993,10]
["AVOL","‒",60,"‒","dB","Datasheet value",null,null,null,null,null,null,null,null,null,null,null,100,120,118,121,null,"C values greater than 10nF"]
["gm_EA",100,120,146,"µA/V","Datasheet values",null,null,null,null,null,null,null,null,null,null,null,120,150,121,124,null,1,1.5]
["Ro_EA",{"$f":"POWER(10,$C$10/20)/(D11/1000000)/1000000","v":6.8493150684931514},{"$f":"POWER(10,$C$10/20)/(C11/1000000)/1000000","v":8.3333333333333321},{"$f":"POWER(10,$C$10/20)/(B11/1000000)/1000000","v":10},"MΩ","Calculated values",null,null,null,null,null,null,null,null,null,null,null,150,180,124,127,null,1.5,2.2000000000000002]
["gm_power","‒",9,"‒","A/V","Datasheet value",null,null,null,null,null,null,null,null,null,null,null,180,220,127,130,null,2.2000000000000002,3.3]
["Slope comp @ 400kHz","‒",0.62,"‒","A/µs","Design supplied value",null,null,null,null,null,null,null,null,null,null,null,220,270,130,133,null,3.3,4.7]
["Slope Comp @ 2MHz","‒",3.1,"‒","A/µs","Datasheet values",null,null,null,null,null,null,null,null,null,null,null,270,330,133,137,null,4.7,6.8]
["fsw",0.2,"‒",2.5,"MHz","Datasheet values",null,null,null,null,null,null,null,null,null,null,null,330,390,137,140,null,6.8,10]
["fsw_tol",-10,"‒",10,"%","Datasheet values",null,null,null,null,null,null,null,null,null,null,null,390,470,140,143]
["∆fSW","‒",5,"‒","%","±5 Dither frequency ",null,null,null,null,null,null,null,null,null,null,null,470,560,143,147]
["t_onMIN","‒",80,100,"ns","Datasheet values, strongly affects Fsw at VinMAX",null,null,null,null,null,null,null,null,null,null,null,560,680,147,150]
["t_offMIN","‒",100,"‒","ns","Datasheet value, strongly affects Fsw at VinMIN",null,null,null,null,null,null,null,null,null,null,null,680,820,150,154]
["IQ","‒",5,"‒","mA","Datasheet value",null,null,null,null,null,null,null,null,null,null,null,820,1000,154,158]
["RDSon @ 25C","‒",150,"‒","mΩ","Design supplied value",null,null,null,null,null,null,null,null,null,null,null,"E24",null,158,162]
["TCR of RDSon","‒",0.64,"‒","% / °C","Design supplied value",null,null,null,null,null,null,null,null,null,null,null,100,110,162,165]
["VGS","‒",5,"‒","V","Design supplied value",null,null,null,null,null,null,null,null,null,null,null,110,120,165,169]
["Qg_FET","‒","‒",5,"nC","Design supplied value",null,null,null,null,null,null,null,null,null,null,null,120,130,169,174]
["SW_slew_rise","‒",1.5,"‒","V/ns","Measured value",null,null,null,null,null,null,null,null,null,null,null,130,150,174,178]
["SW_slew_fall","‒",1.2,"‒","V/ns","Measured value",null,null,null,null,null,null,null,null,null,null,null,150,160,178,182]
["Pulse by pulse current limit",3.5,5.5,6.5,"A","ILIMMIN at 5% duty cycle, datasheet values",null,null,null,null,null,null,null,null,null,null,null,160,180,182,187]
["ILIM slope","‒",-1.06E-2,"‒","A / %","Curve fit value, slope",null,null,null,null,null,null,null,null,null,null,null,180,200,187,191]
["ILIM offset","‒",4.9528999999999996,"‒","A","Curve fit value, offset",null,null,null,null,null,null,null,null,null,null,null,200,220,191,196]
["TSD_Threshold","‒",170,"‒","°C","Thermal Shutdown",null,null,null,null,null,null,null,null,null,null,null,220,240,196,200]
["TCR of Copper","‒",0.39300000000000002,"‒","%/°C","Known value, used for inductor DCR",null,null,null,null,null,null,null,null,null,null,null,240,270,200,205]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,270,300,205,210]
["nano",{"$f":"POWER(10,-9)","v":1.0000000000000001E-9},null,null,"Yes",null,null,null,null,null,null,null,null,null,null,null,null,300,330,210,215]
["micro",{"$f":"POWER(10,-6)","v":9.9999999999999995E-7},null,null,"No",null,null,null,null,null,null,null,null,null,null,null,null,330,360,215,221]
["milli",{"$f":"POWER(10,-3)","v":1E-3},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,360,390,221,226]
["kilo",{"$f":"POWER(10,3)","v":1000},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,390,430,226,232]
["mega",{"$f":"POWER(10,6)","v":1000000},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,430,470,232,237]
["giga",{"$f":"POWER(10,9)","v":1000000000},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,470,510,237,243]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,510,560,243,249]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,560,620,249,255]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,620,680,255,261]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,680,750,261,267]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,750,820,267,274]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,820,910,274,280]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,910,1000,280,287]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"E48",null,287,294]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,100,105,294,301]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,105,110,301,309]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,110,115,309,316]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,115,121,316,324]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,121,127,324,332]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,127,133,332,340]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,133,140,340,348]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,140,147,348,357]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,147,154,357,365]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,154,162,365,374]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,162,169,374,383]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,169,178,383,392]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,178,187,392,402]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,187,196,402,412]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,196,205,412,422]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,205,215,422,432]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,215,226,432,442]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,226,237,442,453]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,237,249,453,464]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,249,261,464,475]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,261,274,475,487]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,274,287,487,499]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,287,301,499,511]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,301,316,511,523]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,316,332,523,536]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,332,348,536,549]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,348,365,549,562]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,365,383,562,576]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,383,402,576,590]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,402,422,590,604]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,422,442,604,619]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,442,464,619,634]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,464,487,634,649]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,487,511,649,665]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,511,536,665,681]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,536,562,681,698]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,562,590,698,715]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,590,619,715,732]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,619,649,732,750]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,649,681,750,768]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,681,715,768,787]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,715,750,787,806]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,750,787,806,825]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,787,825,825,845]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,825,866,845,866]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,866,909,866,887]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,909,953,887,909]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,953,1000,909,931]
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