Calculating shortest to longest distances between Zip Codes (using latitude and longitude)

pawcoyote

Board Regular
Joined
Mar 5, 2012
Messages
89
Office Version
  1. 365
Platform
  1. Windows
Hi, I have what I believe might be an interesting one I could use some help on.

I've have been working on formulas to show the distances (Miles) between multiple longitude and latitudes (Zip Codes). I am trying to find the shortest distance between multiple Zip Codes. Then put in order the shortest distance to longest distance. I would like to show who is assigned as the shortest distance to longest distances on the Planning worksheet. I tried to post all that I could think to help.

On the Formula worksheet I have the following formulas.

Step1: I created a Count Column that shows how many possible Zip Codes that could be included up to five (5).
Excel Formula:
=COUNTIF(TEAM!$A$2:$A$57,Planning!$E2)

Step2: I created Ref Columns 1-5 to show which Zip Code is has the shortest distance:
Excel Formula:
=IF(COLUMNS($G2:G2)>$F2,"",INDEX(TEAM!$B$2:$B$80,SMALL(IF(TEAM!$A$2:$A$80=InventoryPlanning!$E2,ROW(TEAM!$B$2:$B$80)-ROW(TEAM!$B$2)+1),COLUMNS($G2:G2))))

Step3: I created a Distance formula that will show the distances: I also noticed that the distances are estimated not actual. I have tried the Mileage number: 3963.19 and Kilometer number: 6378.135:
Excel Formula:
=IF($G2="","",IF($E2=$N2,0,ACOS(COS(RADIANS(90-$L2))*COS(RADIANS(90-$C2))+SIN(RADIANS(90-$L2))*SIN(RADIANS(90-$C2))*COS(RADIANS($M2-$D2)))*6378.135))

This formula is successfully returning the correct distances in Distance-1 thru Distance-5. But the the Ref#’s are not showing in the order of shortest distance. It is shown by the State and how I have them loaded on the TEAM worksheet. How can I change the formula above to show the shortest distance in order within the Ref Columns? I would really like to do away with looking at the State first and just look at the shortest distance between the Zip Codes (Latitude/Longitudes). That way I do not have to worry about loading States into the Team sheet just the people and their locations.

Can anyone help? Sorry for the complicated problem in advance.

Planning Worksheet:
Zip Code Distances.xlsm
ABCDEFGHIJKLMNOPQRSTUVWXYZAAABACAD
1Location NumberLocation NameAddressCITYSTATEZIP CODEMin - DistMin ZipDistanceRicoh / ClientFirst NameLast NameZipRef2 - DistanceRef2 - NameRef2 - Zip CodeRef3 - DistanceRef3 - NameRef3 - Zip CodeRef4 - DistanceRef4 - NameRef4 - Zip CodeRef5 - DistanceRef5 - NameRef5 - Zip CodeSSSIGDistance Allowed: Enter Here ---->65Client Name: Enter Here ----->Customer
2123 Smith StreetMELVILLENY11747481001748SMITHANDREWSMITH10017 
3143 Fargo CTVinitaCA92606199269219JONESVINITAJONES92692JONES
413 Callen StVinitaCA92817309269230JONESVINITAJONES92692JONES
52 Box RdVinitaCA9193212592692125CustomerVINITAJONES92692JONES
6500 West StIn BetweenCA90712509140250APPLETHOMASAPPLE91402APPLE
780 Finn RdIn BetweenCA90801539269253JONESVINITAJONES92692JONES
8999 Cargo RdThomasCA90001349140234APPLETHOMASAPPLE91402APPLE
93 Blue StThomasCA93001859140285CustomerTHOMASAPPLE91402APPLE
1055 Hartford AveThomasCA91364169140216APPLETHOMASAPPLE91402APPLE
113 Providence AveThomasCA91001299140229APPLETHOMASAPPLE91402APPLE
125 June RdIn BetweenCA9236430092692300CustomerVINITAJONES92692JONES
1390 Cutler BlvdIn BetweenCA91714519140251APPLETHOMASAPPLE91402APPLE
14143 Ohio AveProvidenceRI02816260280926SMITHDAVIDSMITH02809SMITH
1599 June LNOkalahoma CityOK7310855,000  Customer    
1674 Washington StAlbuquerqueNM8710955,000  Customer    
1726 Morgan RdBessemerAL3502255,000  Customer    
Planning
Cell Formulas
RangeFormula
G2:G17G2=MIN(Formulas!O2,Formulas!S2,Formulas!W2,Formulas!AA2,Formulas!AE2)
H2:H17H2=IF($G2=Formulas!$O2,Formulas!$G2,IF($G2=Formulas!$S2,Formulas!$H2,IF($G2=Formulas!$W2,Formulas!$I2,IF($G2=Formulas!$AA2,Formulas!$J2,IF($G2=Formulas!$AE2,Formulas!$K2,"")))))
I2:I17I2=IF(G2<5000,G2,"")
J2:J17J2=IF($I2<$AB$1,$L2,$AD$1)
K2:K17K2=XLOOKUP($H2,TEAM!$B$2:$B$88,TEAM!$C$2:$C$88,"",0)
L2:L17L2=XLOOKUP($H2,TEAM!$B$2:$B$88,TEAM!$D$2:$D$88,"",0)
M2:M17M2=XLOOKUP($H2,TEAM!$B$2:$B$88,TEAM!$B$2:$B$88,"",0)
Z2:Z17Z2=XLOOKUP($H2,TERRITORY!$B$2:$B$86,TERRITORY!$D$2:$D$86,"",0)
Cells with Conditional Formatting
CellConditionCell FormatStop If True
J:JCell Valuecontains "Customer"textNO
A:ACell ValueduplicatestextNO
I1:I17,K2:Z17,K1:M1,Z1Cell Value=""textNO


Formula Worksheet:
Zip Code Distances.xlsm
ABCDEFGHIJKLMNOPQRSTUVWXYZAAABACADAE
1STATEZIPCODELATLONGLAT+LONGCOUNTRef1Ref2Ref3Ref4Ref5LATLONGLAT+LONGDISTANCE-1LATLONGLAT+LONGDISTANCE-2LATLONGLAT+LONGDISTANCE-3LATLONGLAT+LONGDISTANCE-4LATLONGLAT+LONGDISTANCE-5
2NY1174740.7946-73.403-32.60845100170648219440028090286140.7517-73.9707-33.2194841.4087-73.2485-31.83987040.2778-75.2975-35.019717041.6825-71.2676-29.585120441.8814-71.356-29.4746210
3CA9260633.6951-117.8224-84.12733914029269294507  34.2262-118.447-84.22088333.6144-117.6433-84.02891937.8537-122.0229-84.1692598   55,000   55,000
4CA9281733.8512-117.7915-83.94033914029269294507  34.2262-118.447-84.22087333.6144-117.6433-84.02893037.8537-122.0229-84.1692587   55,000   55,000
5CA9193232.5783-117.1148-84.53653914029269294507  34.2262-118.447-84.220822133.6144-117.6433-84.028912537.8537-122.0229-84.1692737   55,000   55,000
6CA9071233.8512-118.1457-84.29453914029269294507  34.2262-118.447-84.22085033.6144-117.6433-84.02895337.8537-122.0229-84.1692566   55,000   55,000
7CA9100134.1912-118.1392-83.9483914029269294507  34.2262-118.447-84.22082933.6144-117.6433-84.02897937.8537-122.0229-84.1692537   55,000   55,000
8CA9236435.4667-115.2722-79.80553914029269294507  34.2262-118.447-84.220832133.6144-117.6433-84.028930037.8537-122.0229-84.1692659   55,000   55,000
9CA9171434.0197-117.9587-83.9393914029269294507  34.2262-118.447-84.22085133.6144-117.6433-84.02895437.8537-122.0229-84.1692562   55,000   55,000
10RI0281641.6914-71.5768-29.885420286102809   41.8814-71.356-29.47462841.6825-71.2676-29.585126   55,000   55,000   55,000
11OK7310835.4445-97.5619-62.11740            55,000   55,000   55,000   55,000
12NM8710935.1506-106.569-71.41840            55,000   55,000   55,000   55,000
13AL3502233.3224-86.9657-53.64330            55,000   55,000   55,000   55,000
Formulas
Cell Formulas
RangeFormula
A2:B13A2=Planning!E2
C2:C13C2=XLOOKUP(Planning!F2, ZipCodeDB!$B$2:$B$50000, ZipCodeDB!$G$2:$G$50000,,0)
D2:D13D2=XLOOKUP(Planning!$F2, ZipCodeDB!$B$2:$B$50000, ZipCodeDB!$H$2:$H$50000,,0)
E2:E13E2=IFERROR($C2+$D2,"")
F2:F13F2=COUNTIF(TEAM!$A$2:$A$57,Planning!$E2)
G2:G13G2=IF(COLUMNS($G2:G2)>$F2,"",INDEX(TEAM!$B$2:$B$80,SMALL(IF(TEAM!$A$2:$A$80=Planning!$E2,ROW(TEAM!$B$2:$B$80)-ROW(TEAM!$B$2)+1),COLUMNS($G2:G2))))
H2:H13H2=IF(COLUMNS($G2:$H2)>$F2,"",INDEX(TEAM!$B$2:$B$80,SMALL(IF(TEAM!$A$2:$A$80=Planning!$E2,ROW(TEAM!$B$2:$B$80)-ROW(TEAM!$B$2)+1),COLUMNS($G2:$H2))))
I2:I13I2=IF(COLUMNS($G2:$I2)>$F2,"",INDEX(TEAM!$B$2:$B$80,SMALL(IF(TEAM!$A$2:$A$80=Planning!$E2,ROW(TEAM!$B$2:$B$80)-ROW(TEAM!$B$2)+1),COLUMNS($G2:$I2))))
J2:J13J2=IF(COLUMNS($G2:$J2)>$F2,"",INDEX(TEAM!$B$2:$B$80,SMALL(IF(TEAM!$A$2:$A$80=Planning!$E2,ROW(TEAM!$B$2:$B$80)-ROW(TEAM!$B$2)+1),COLUMNS($G2:$J2))))
K2:K13K2=IF(COLUMNS($G2:$K2)>$F2,"",INDEX(TEAM!$B$2:$B$80,SMALL(IF(TEAM!$A$2:$A$80=Planning!$E2,ROW(TEAM!$B$2:$B$80)-ROW(TEAM!$B$2)+1),COLUMNS($G2:$K2))))
L2:L13L2=XLOOKUP($G2, ZipCodeDB!$B$2:$B$50000,ZipCodeDB!$G$2:$G$50000,"",0)
M2:M13M2=XLOOKUP($G2, ZipCodeDB!$B$2:$B$50000,ZipCodeDB!$H$2:$H$50000,"",0)
N2:N13N2=IF($G2="","",SUM($L2+$M2))
O2:O13O2=IF($G2="","",IF($E2=$N2,0,ACOS(COS(RADIANS(90-$L2))*COS(RADIANS(90-$C2))+SIN(RADIANS(90-$L2))*SIN(RADIANS(90-$C2))*COS(RADIANS($M2-$D2)))*6378.135))
P2:P13P2=XLOOKUP($H2, ZipCodeDB!$B$2:$B$50000,ZipCodeDB!$G$2:$G$50000,"",0)
Q2:Q13Q2=XLOOKUP($H2, ZipCodeDB!$B$2:$B$50000,ZipCodeDB!$H$2:$H$50000,"",0)
R2:R13R2=IF($H2="","",SUM($P2+$Q2))
S2:S13S2=IF($H2="",55000,IF($E2=$R2,0,ACOS(COS(RADIANS(90-$P2))*COS(RADIANS(90-$C2))+SIN(RADIANS(90-$P2))*SIN(RADIANS(90-$C2))*COS(RADIANS($Q2-$D2)))*6378.135))
T2:T13T2=XLOOKUP($I2, ZipCodeDB!$B$2:$B$50000,ZipCodeDB!$G$2:$G$50000,"",0)
U2:U13U2=XLOOKUP($I2, ZipCodeDB!$B$2:$B$50000,ZipCodeDB!$H$2:$H$50000,"",0)
V2:V13V2=IF($I2="","",SUM($T2+$U2))
W2:W13W2=IF($I2="",55000,IF($E2=$V2,0,ACOS(COS(RADIANS(90-$T2))*COS(RADIANS(90-$C2))+SIN(RADIANS(90-$T2))*SIN(RADIANS(90-$C2))*COS(RADIANS($U2-$D2)))*6378.135))
X2:X13X2=XLOOKUP($J2, ZipCodeDB!$B$2:$B$50000,ZipCodeDB!$G$2:$G$50000,"",0)
Y2:Y13Y2=XLOOKUP($J2, ZipCodeDB!$B$2:$B$50000,ZipCodeDB!$H$2:$H$50000,"",0)
Z2:Z13Z2=IF($J2="","",SUM($X2+$Y2))
AA2:AA13AA2=IF($J2="",55000,IF($E2=$Z2,0,ACOS(COS(RADIANS(90-$X2))*COS(RADIANS(90-$C2))+SIN(RADIANS(90-$X2))*SIN(RADIANS(90-$C2))*COS(RADIANS($Y2-$D2)))*6378.135))
AB2:AB13AB2=XLOOKUP($K2, ZipCodeDB!$B$2:$B$50000,ZipCodeDB!$G$2:$G$50000,"",0)
AC2:AC13AC2=XLOOKUP($K2, ZipCodeDB!$B$2:$B$50000,ZipCodeDB!$H$2:$H$50000,"",0)
AD2:AD13AD2=IF($K2="","",SUM($AB2+$AC2))
AE2:AE13AE2=IF($K2="",55000,IF($E2=$AD2,0,ACOS(COS(RADIANS(90-$AB2))*COS(RADIANS(90-$C2))+SIN(RADIANS(90-$AB2))*SIN(RADIANS(90-$C2))*COS(RADIANS($AC2-$D2)))*6378.135))


Team Worksheet:
Book1
ABCD
1STATE COVERAGEZIPFIRST NAMELAST NAME
2AZ85283STEVENJONES
3AZ85085ROBERTSMITH
4CA91402THOMASAPPLE
5CA92692VINITAJONES
6CA94507SHANESMITH
7CO80015THERESAJONES
8CO80550CASEYSMITH
9CT02861BOBSMITH
10CT06482THOMASSMITH
11CT02809DAVIDSMITH
12GA33019BILLSMITH
13IL46311JOBSMITH
14IL60563BYRONSMITH
15IL60610STEVEJONES
16IN46311JOBSMITH
17KY41091MARCUSSMITH
18MA02861BOBSMITH
19MA02809DAVIDSMITH
20ME02861BOBSMITH
21MI48323JOELSMITH
22MI46311JOBSMITH
23MO64118LOUIESMITH
24NC28031JAMESSMITH
25NH02861BOBSMITH
26NJ19440LARRYSMITH
27NV89431JEFFREYSMITH
28NY10017ANDREWSMITH
29NY06482THOMASSMITH
30NY19440LARRYSMITH
31NY02809DAVIDSMITH
32NY02861BOBSMITH
33OH45420ANDRESMITH
34OH48323JOELSMITH
35PA19440LARRYSMITH
36PA19006DAVIDSMITH
37PA19341ERICSMITH
38PA19341BRIANSMITH
39RI02861BOBSMITH
40RI02809DAVIDSMITH
41TX77382BRANDONSMITH
Sheet1
Cells with Conditional Formatting
CellConditionCell FormatStop If True
D1Cell ValueduplicatestextNO
 

Excel Facts

Excel Wisdom
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If I am understanding correctly, you do not want to limit the zip codes evaluated to only those within the state represented by whichever row you are on in the Formulas worksheet, yet that is what your formulas are doing. If you want to calculate the distance between the baseline location whose lat and long are in columns C:D on the Formulas sheet, I would recommend a different approach that takes advantage of some other Excel 365 functions. The example below uses a single, multi-part formula to compute the distances between the baseline location and all zip codes, sorts them according to distance, eliminates duplicate rows, and performs the lookups to identify who is associated with each zip...and the results are shown in terms of zip, lat, long, dist, fname, lname. The output array shown is merely an example. It can be trimmed down and restructured as needed, but what specifically do you want to do with these results? Do you want the top 2, 3, 5 displayed in a single row? As an aside, your zip codes need some attention, as Excel drops the leading 0, so some zip codes appear with only 4-digits.
MrExcel_20240131_C (version 1).xlsb
AGAHAIAJAKAL
21001740.7517-73.970748.09604ANDREWSMITH
3648241.4087-73.248569.578899THOMASSMITH
41944040.2778-75.2975170.28655LARRYSMITH
5280941.6825-71.2676204.25017DAVIDSMITH
6286141.8814-71.356209.53438BOBSMITH
79269233.6144-117.64333960.0082VINITAJONES
89140234.2262-118.4473999.4438THOMASAPPLE
99450737.8537-122.02294145.8905SHANESMITH
1085283STEVENJONES
1185085ROBERTSMITH
1280015THERESAJONES
1380550CASEYSMITH
1433019BILLSMITH
1546311JOBSMITH
1660563BYRONSMITH
1760610STEVEJONES
1841091MARCUSSMITH
1948323JOELSMITH
2064118LOUIESMITH
2128031JAMESSMITH
2289431JEFFREYSMITH
2345420ANDRESMITH
2419006DAVIDSMITH
2519341ERICSMITH
2677382BRANDONSMITH
27000
Formulas
Cell Formulas
RangeFormula
AG2:AL27AG2=LET(baselat,C2,baselong,D2, zips,TEAM!$B$2:$B$80, fname,XLOOKUP(zips,TEAM!$B$2:$B$80,TEAM!$C$2:$C$80,"",0), lname,XLOOKUP(zips,TEAM!$B$2:$B$80,TEAM!$D$2:$D$80,"",0), lats,XLOOKUP(zips, ZipCodeDB!$B$2:$B$49973,ZipCodeDB!$G$2:$G$49973,"",0), longs,XLOOKUP(zips, ZipCodeDB!$B$2:$B$49973,ZipCodeDB!$H$2:$H$49973,"",0), dists,IFERROR(ACOS(COS(RADIANS(90-lats))*COS(RADIANS(90-baselat))+SIN(RADIANS(90-lats))*SIN(RADIANS(90-baselat))*COS(RADIANS(longs-baselong)))*6378.135,""), res,SORT(UNIQUE(HSTACK(zips,lats,longs,dists,fname,lname)),4,1), res)
Dynamic array formulas.
 
Upvote 0
You might want to consider trimming the list of zip codes that are to be considered for the distance computation by establishing a bounding box, perhaps +/- 5 degrees (pick x) latitude and +/- 7 degrees (pick y) longitude from the baseline "0-distance" location. You could also add to this list any other zip codes that are in the same state as the baseline location, even if the lat/long of those zips lies outside the bounding box. This would greatly reduce the number of distance computations needed and still find the shortest distance locations.

As I reviewed the formula I posted, I notice some additional adjustments that would shorten it further...particularly with regard to how the zips, fname, and lname arrays are formed, but those changes might be better made as part of refining the output.
 
Upvote 0
Hi, thank you for the response. I will be giving this more thought for you. I should have a response to you tomorrow.
 
Upvote 0
You might want to consider trimming the list of zip codes that are to be considered for the distance computation by establishing a bounding box, perhaps +/- 5 degrees (pick x) latitude and +/- 7 degrees (pick y) longitude from the baseline "0-distance" location. You could also add to this list any other zip codes that are in the same state as the baseline location, even if the lat/long of those zips lies outside the bounding box. This would greatly reduce the number of distance computations needed and still find the shortest distance locations.

As I reviewed the formula I posted, I notice some additional adjustments that would shorten it further...particularly with regard to how the zips, fname, and lname arrays are formed, but those changes might be better made as part of refining the output.
Hi, what I am trying to do is have the shortest distances shown in Ref1 thru Ref5 from the final zip code (lat/long) to one of the zip codes on the Team spreadsheet and put them in order from shortest distance to longest. Right now, it looks at the State first then the zip code what I would also like to do is have it look at only the Zip Code and not have anything to do with state. So, formula spreadsheet looks at team spreadsheet but starts looking at the zip code vs the state then zip code. I hope this makes a bit more sense. With regards to the leading zeros on the zips I us format the column to special zip code. Any guidance is appreciated. If this cannot be done, I totally understand. I have actually updated the code for O2, S2, W2, AA2, and AE2. I changed from Kilometers to Miles.
Excel Formula:
 =IF($G2="","",IF($E2=$N2,0,ACOS(COS(RADIANS(90-$L2))*COS(RADIANS(90-$C2))+SIN(RADIANS(90-$L2))*SIN(RADIANS(90-$C2))*COS(RADIANS($M2-$D2)))*AVERAGE(3959,3961)))
 
Last edited:
Upvote 0
Right now, it looks at the State first then the zip code what I would also like to do is have it look at only the Zip Code and not have anything to do with state.
This is what my question was getting at. Given some baseline location whose lat/long are shown in column B of the Formulas worksheet, you want to determine which are the five closest zip codes that appear in the Team worksheet. And the ZipCodeDB worksheet is needed as a cross reference to provide lat/long for any zip codes in the Team worksheet. Is that correct? That is what the formula I offered earlier does. Have a look at the results returned. If that is what you want, then the output of that array can be adjusted to deliver just the content desired. You don't need the Formulas worksheet at all, as the results can be obtained using the input zip code in column F of the Planning worksheet, and then after developing the results that depend on the ZipCodeDB and TEAM worksheets, the final results can be spilled across a row in the Planning worksheet, as shown in the slightly reworked version below. Then some other formulas in the columns G:J range may not be needed (note that the min formula in column G isn't referencing the correct cells right now).
MrExcel_20240131_C (version 1).xlsx
CDEFGHIJKLMNOPQRSTUVWXYZAAABACAD
1AddressCITYSTATEZIP CODEMin - DistMin ZipDistanceRicoh / ClientDistanceFirst NameLast NameZipDistanceFirst NameLast Name ZipDistanceFirst NameLast Name ZipDistanceFirst NameLast Name ZipDistanceFirst NameLast Name Zip
2123 Smith StreetMELVILLENY1174769.578899648269.578899Customer48.09604ANDREWSMITH1001769.578899THOMASSMITH6482170.28655LARRYSMITH19440204.25017DAVIDSMITH2809209.53438BOBSMITH2861
Planning
Cell Formulas
RangeFormula
G2G2=MIN(Formulas!O2,Formulas!S2,Formulas!W2,Formulas!AA2,Formulas!AE2)
H2H2=IF($G2=Formulas!$O2,Formulas!$G2,IF($G2=Formulas!$S2,Formulas!$H2,IF($G2=Formulas!$W2,Formulas!$I2,IF($G2=Formulas!$AA2,Formulas!$J2,IF($G2=Formulas!$AE2,Formulas!$K2,"")))))
I2I2=IF(G2<5000,G2,"")
J2J2=IF($I2<$AG$1,$M2,$AI$1)
K2:AD2K2=LET(dbzip,ZipCodeDB!$B$2:$B$50000, dblat,ZipCodeDB!$G$2:$G$50000, dblong,ZipCodeDB!$H$2:$H$50000, basezip,F2, baselat,XLOOKUP(basezip,dbzip,dblat), baselong,XLOOKUP(basezip,dbzip,dblong), zip,TEAM!$B$2:$B$80, fname,XLOOKUP(zip,TEAM!$B$2:$B$80,TEAM!$C$2:$C$80), lname,XLOOKUP(zip,TEAM!$B$2:$B$80,TEAM!$D$2:$D$80), lat,XLOOKUP(zip,dbzip,dblat), long,XLOOKUP(zip,dbzip,dblong), dist,IFERROR(ACOS(COS(RADIANS(90-lat))*COS(RADIANS(90-baselat))+SIN(RADIANS(90-lat))*SIN(RADIANS(90-baselat))*COS(RADIANS(long-baselong)))*6378.135,""), res,TOROW(TAKE(SORT(UNIQUE(HSTACK(dist,fname,lname,zip)),1,1),5)), res)
Dynamic array formulas.
 
Upvote 0
Roger that and I will make your recommendations and see how it goes. That would be awesome if I didn't need the formula sheet. Roger on the min formula as well. Thank you!
 
Upvote 0
@KRice sorry I have been ill and not able to work on this at the moment. I hope to get to it next week. Thank you for any guidance you are providing.
 
Upvote 0
Not a problem...get well soon! When you are feeling better, have a look at the K2 formula in my last mini sheet post to see if the results make sense and are delivered in the format desired.
 
Upvote 0
Not a problem...get well soon! When you are feeling better, have a look at the K2 formula in my last mini sheet post to see if the results make sense and are delivered in the format desired.
Finally feeling a bit better. Came down with Covid and it knocked me out. Will be looking at everything and ask questions if that is ok. Thank you for your patience.
 
Upvote 0

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