1. Caveats and Comments
1
Overview:
This is my analysis, not Stanford’s. My goal is to understand the trajectory of COVID. It is not confidential and can be freely shared. The R program code is
available at https://github.com/StevenLShafer/COVID19/. The daily analysis are available at https://1drv.ms/u/s!AuOyHP_aTIy7rowrt2AjGpWm_frnEQ?e=KBcNbh.
You are welcome to use the R code on GitHub for any purpose.
I am attempting to keep the analysis and commentary apolitical. I am now including partisan lean as a metric to help understand the epidemic. I occasionally point
out misrepresentations by government officials. I occasionally point out where government recommendations have placed Americans at increasing risk.
I try to provide a daily update in the morning, except Sundays. My analysis my be delayed by my clinical responsibilities as a Stanford anesthesiologist.
There is a lot of information on the figures. If something isn’t clear, please see the explanation on slide 2.
Data sources:
• USA Case Data: https://github.com/CSSEGISandData/COVID-19/raw/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_confirmed_US.csv
• USA Death Data: https://github.com/CSSEGISandData/COVID-19/raw/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_deaths_US.csv
• USA Testing and Hospitalization Data: https://raw.githubusercontent.com/COVID19Tracking/covid-tracking-data/master/data/states_daily_4pm_et.csv
• Global Case Data: https://github.com/CSSEGISandData/COVID-19/raw/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_confirmed_global.csv
• Global Death Data: https://github.com/CSSEGISandData/COVID-19/raw/master/csse_covid_19_data/csse_covid_19_time_series/time_series_covid19_deaths_global.csv
• Global Testing Data: https://raw.githubusercontent.com/owid/covid-19-data/master/public/data/owid-covid-data.csv
• Mobility Data: https://www.gstatic.com/covid19/mobility/Global_Mobility_Report.csv
• Partisan Lean: MIT Election Data and Science Lab: https://doi.org/10.7910/DVN/VOQCHQ/HEIJCQ
• Ensemble Model: https://github.com/reichlab/covid19-forecast-hub/raw/master/data-processed/COVIDhub-ensemble/2020-xx-xx-COVIDhub-ensemble.csv
Models:
1. Future projections of case numbers are based on the Gompertz function (https://en.wikipedia.org/wiki/Gompertz_function): log 𝑐𝑢𝑚𝑢𝑙𝑎𝑡𝑖𝑣𝑒 𝑐𝑎𝑠𝑒𝑠 =
𝑐𝑢𝑟𝑟𝑒𝑛𝑡 𝑐𝑎𝑠𝑒𝑠 + 𝑚𝑎𝑥𝑖𝑚𝑢𝑚 𝑐𝑎𝑠𝑒𝑠 − 𝑐𝑢𝑟𝑟𝑒𝑛𝑡 𝑐𝑎𝑠𝑒𝑠 1 − 𝑒−𝑘 𝑡 . This is a naïve asymptotic model. k is the rate constant, such that log(2) / k = time to 50%
rise. t is the number of days. Wikipedia The Gompertz function is estimated from the last 3 weeks of data for cumulative cases (red dots in the figures).
Deaths are predicted from a log linear regression of deaths over the past 21 days. For the US, and individual states, I am also including the 98% prediction
interval from the COVID-19 Forecast Hub (https://covid19forecasthub.org/).
2. The rate of change in daily cases and deaths is the slope of delta cases / day over the last 14 days, divided by the average number of cases.
Locations
The locations for the modeling are where Pamela and I have family and friends, locations of interest to friends and colleagues, or countries in the news (e.g.,
China, South Korea, Sweden, Brazil) or with significant economic impact on the United States (e.g., Japan, Canada, Mexico). Locations are easy to add.
Stay safe, well, resilient, and kind.
Steve Shafer
steven.shafer@Stanford.edu
2. 2,586,092
152,804
1
10
100
1,000
10,000
100,000
1,000,000
10,000,000
100,000,000
Actual(points)/Predicted(line)
Phase
Pre-Model
Modeled
Deaths
Tests
USA projection as of 2020-05-27
0
10,000
20,000
30,000
0
2,000
4,000
6,000
Cases/Day
Deaths/Day
Cases: 1,662,302 (32,123) -- Deaths: 98,220 (829) -- Case Mortality: 5.9% -- Daily Change in Cases: -0.5%
Explanation of the Figures
2
Brown dots:
cumulative tests
Red dots: cumulative cases
used to estimate Gompertz
function, presently set to last
3 weeks
Red line: predicted cumulative
cases based on the Gompertz
function estimated from the red
dots
Red number: total cases
on June 30th, based on
the Gompertz function
estimated from the red
dots
Black number: total
Deaths on July 31th,
based on log-linear
regression of the past
21 days
Black line: predicted
cumulative deaths, based
on a log linear regression
of deaths over past 21
days.
Axis for deaths / day, usually
1/10th of the axis for cases /
day on the left side of the
figure.
Green line: linear regression
over 8 days, used to calculate
percent increase / decrease
(see below)
Daily change in cases,
calculated as the slope of the
green line (above left) /
number of new cases
yesterday.
Case mortality:
cumulative deaths
/ cumulative cases.
Cases / day calculated
from cumulative cases
used to estimate the
Gompertz function
Cases / day calculated
from cumulative cases
not used to estimate the
Gompertz function
Deaths / day,
axis is on the left
Blue line: today
Blue dots: cumulative cases not
used to estimate Gompertz
function
Cumulative cases
(yesterday’s cases)
and cumulative deaths
(yesterday’s deaths)
Axis for cases / day.
Axis for deaths / day
appears to the right.
Geographic
location
Date of analysis,
also shown as
blue vertical line
below
Purple wedge: 98% ensemble
prediction interval from COVID-19
Forecast Hub (USA and US
States only)
6. Comparison of COVID-19 Cases & Deaths
between US & Europe
Cases
Deaths
57,420
65,117
990
499
3
10
30
100
300
1,000
3,000
10,000
30,000
100,000
Date
DailyCasesandDeaths
Location
USA (318MM)
Western Europe (344MM)
Log plot of 7 day average
Comparison of COVID-19 Cases & Deaths between US & Europe
The numbers on the right are yesterday's figures, and will differ a bit from the plotted rolling mean
2020-10-10 Summary: 6
10. Average new cases over past 7 days
Israel
CzechRepublic
Argentina
Belgium
Netherlands
Spain
UnitedKingdom
France
Jordan
Colombia
USA
Slovakia
Brazil
Libya
Iraq
Paraguay
Austria
Romania
Switzerland
Ukraine
Tunisia
Peru
Hungary
Chile
Nepal
Portugal
Honduras
Russia
Poland
Morocco
Denmark
Mexico
Sweden
Canada
India
Ecuador
DominicanRepublic
Iran
Italy
Bulgaria
Belarus
Guatemala
Kyrgyzstan
Germany
Finland
Greece
Bolivia
SouthAfrica
Venezuela
Philippines
Myanmar
Turkey
Azerbaijan
Indonesia
Malaysia
SaudiArabia
Serbia
Uzbekistan
ElSalvador
Ethiopia
Angola
Bangladesh
SriLanka
Kenya
Zambia
USA
None
1 in 10,000
1 in 5,000
1 in 3,333
1 in 2,500
1 in 2,000
1 in 1,667
1 in 1,429
1 6 11 16 21 26 31 36 41 46 51 56 61 66
Rank
Averagecases/day
Average new cases over past 7 days
Excludes countries with population < 5,000,000
2020-10-10 Summary: 10
13. Average daily deaths over past 7 days
Argentina
Ecuador
Mexico
Israel
Colombia
Bolivia
Iran
Paraguay
Brazil
Chile
Spain
CzechRepublic
Peru
Romania
USA
Iraq
Jordan
Honduras
SouthAfrica
Tunisia
Ukraine
Hungary
Belgium
Libya
Poland
Russia
France
Morocco
Bulgaria
Canada
Portugal
UnitedKingdom
Netherlands
Guatemala
SaudiArabia
India
Philippines
Turkey
DominicanRepublic
Myanmar
Austria
Belarus
ElSalvador
Greece
Indonesia
Italy
Nepal
Denmark
Kyrgyzstan
Angola
Switzerland
Venezuela
Slovakia
Serbia
Azerbaijan
Algeria
Kazakhstan
Bangladesh
Kenya
Germany
Egypt
Uzbekistan
Syria
Ethiopia
Malaysia
USA
None
1 in 500,000
1 in 250,000
1 in 166,667
1 in 125,000
1 in 100,000
1 6 11 16 21 26 31 36 41 46 51 56 61 66
Rank
Averagedeaths/day
Average daily deaths over past 7 days
Excludes countries with population < 5,000,000
2020-10-10 Summary: 13
15. Change in New Cases per Day
Daily cases are:
Increasing > +3%
Increasing between +1% and +3%
No Change (-1% to +1%)
Decreasing between -1% and -3%
Decreasing > -3%
Daily cases by state as of 2020-10-10
2020-10-10 Summary: 15
16. Cases as a Percent of Peak Cases
HI TX FL
OK LA MS AL GA
AZ NM KS AR TN NC SC DC
CA UT CO NE MO KY WV VA MD DE
OR NV WY SD IA IN OH PA NJ CT RI
WA ID MT ND MN IL MI NY MA
WI VT NH
AK ME
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
PercentofPeak
Daily Cases as a Percent of Peak Cases
2020-10-10 Summary: 16
17. Change in Deaths per Day
Daily deaths are:
Increasing > +3%
Increasing between +1% and +3%
No Change (-1% to +1%)
Decreasing between -1% and -3%
Decreasing > -3%
Daily deaths by state as of 2020-10-10
2020-10-10 Summary: 17
18. Deaths as a Percent of Peak Deaths
HI TX FL
OK LA MS AL GA
AZ NM KS AR TN NC SC DC
CA UT CO NE MO KY WV VA MD DE
OR NV WY SD IA IN OH PA NJ CT RI
WA ID MT ND MN IL MI NY MA
WI VT NH
AK ME
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
0
25
50
75
100
PercentofPeak
Daily Deaths as a Percent of Peak Deaths
2020-10-10 Summary: 18
19. Change in cases vs. change in deaths over
last 14 days
AL
AK AZ
AR
CA
COCT
DE
DC
FL
GA
HI
ID
IL IN
IA
KS
KYLA
ME
MDMA
MI
MN
MS
MO
MT
NE
NV
NH
NJ NM
NY
NC
ND
OH
OK
OR
PA
RI
SC
SD
TN
TX
UT
VT
VA
WA
WV
WI
WY
-6
-3
0
3
6
-6 -3 0 3 6
Change in cases (%/day)
Changeindeaths(%/day)
Change in cases vs. change in deaths over last 14 days as of 2020-10-10
Size is proportional total cases per capita
2020-10-10 Summary: 19
20. Total US COVID-19 Cases
California
Texas
Florida
NewYork
Georgia
Illinois
NorthCarolina
Arizona
NewJersey
Tennessee
Pennsylvania
Louisiana
Ohio
Alabama
Virginia
SouthCarolina
Michigan
Wisconsin
Missouri
Massachusetts
Indiana
Maryland
Minnesota
Mississippi
Iowa
Oklahoma
Washington
Arkansas
Nevada
Utah
Kentucky
Colorado
Kansas
Connecticut
Nebraska
Idaho
Oregon
NewMexico
SouthDakota
RhodeIsland
NorthDakota
Delaware
WestVirginia
Montana
DistrictofColumbia
Hawaii
Alaska
NewHampshire
Wyoming
Maine
Vermont
0
250,000
500,000
750,000
1 6 11 16 21 26 31 36 41 46 51
Rank
Totalcases
Masks
No
Yes
Governor
aa
Democratic
Republican
Total US COVID-19 Cases
p masks as of July 20, 2020: 0.64, p governor: 0.99. NB: association != causation.
2020-10-10 Summary: 20
21. Total US COVID-19 Cases
Louisiana
Mississippi
NorthDakota
Florida
Alabama
Iowa
Georgia
Tennessee
Arizona
SouthDakota
Arkansas
SouthCarolina
Texas
Nevada
Idaho
Utah
Nebraska
Illinois
Wisconsin
RhodeIsland
Oklahoma
NewYork
NewJersey
Missouri
DistrictofColumbia
Delaware
Kansas
NorthCarolina
Maryland
California
Massachusetts
Indiana
Minnesota
Virginia
Kentucky
Connecticut
Montana
NewMexico
Michigan
Ohio
Pennsylvania
Colorado
Wyoming
Alaska
Washington
WestVirginia
Hawaii
Oregon
NewHampshire
Maine
Vermont
None
1 in 100
1 in 50
1 in 33
1 in 25
1 6 11 16 21 26 31 36 41 46 51
Rank
TotalCases
Masks
No
Yes
Governor
aa
Democratic
Republican
Total US COVID-19 Cases
p masks as of July 20, 2020: 0.032, p governor: 0.015. NB: association != causation.
2020-10-10 Summary: 21
22. Average US COVID-19 cases over the past
7 days
NorthDakota
SouthDakota
Montana
Wisconsin
Utah
Idaho
Iowa
Missouri
Oklahoma
Wyoming
Arkansas
Nebraska
Tennessee
Kentucky
Kansas
Alaska
Minnesota
Mississippi
Alabama
Indiana
Illinois
SouthCarolina
NorthCarolina
Nevada
RhodeIsland
NewMexico
Texas
Delaware
WestVirginia
Colorado
Louisiana
Ohio
Florida
Virginia
Georgia
Michigan
Maryland
Pennsylvania
Massachusetts
NewJersey
DistrictofColumbia
California
Arizona
Connecticut
Oregon
NewYork
Washington
Hawaii
NewHampshire
Maine
Vermont
None
1 in 10,000
1 in 5,000
1 in 3,333
1 in 2,500
1 in 2,000
1 in 1,667
1 in 1,429
1 6 11 16 21 26 31 36 41 46 51
Rank
NewCases/Day
Masks
No
Yes
Governor
aa
Democratic
Republican
Average US COVID-19 cases over the past 7 days
p masks as of July 20, 2020: 0.0018, p governor: 0.021. NB: association != causation.
2020-10-10 Summary: 22
23. Total US COVID-19 Deaths
NewYork
Texas
California
NewJersey
Florida
Massachusetts
Illinois
Pennsylvania
Georgia
Michigan
Arizona
Louisiana
Ohio
Connecticut
Maryland
Indiana
NorthCarolina
SouthCarolina
Virginia
Mississippi
Tennessee
Alabama
Missouri
Washington
Minnesota
Colorado
Nevada
Arkansas
Iowa
Wisconsin
Kentucky
RhodeIsland
Oklahoma
NewMexico
Kansas
Delaware
DistrictofColumbia
Oregon
Nebraska
Idaho
Utah
NewHampshire
WestVirginia
NorthDakota
SouthDakota
Montana
Hawaii
Maine
Alaska
Vermont
Wyoming
0
10,000
20,000
30,000
1 6 11 16 21 26 31 36 41 46 51
Rank
TotalDeaths
Masks
No
Yes
Governor
aa
Democratic
Republican
Total US COVID-19 Deaths
p masks as of July 20, 2020: 0.082, p governor: 0.47. NB: association != causation.
2020-10-10 Summary: 23
24. Total US COVID-19 Deaths
NewJersey
NewYork
Massachusetts
Connecticut
Louisiana
RhodeIsland
Mississippi
DistrictofColumbia
Arizona
Illinois
Michigan
Florida
Georgia
SouthCarolina
Delaware
Maryland
Pennsylvania
Texas
Indiana
Alabama
Nevada
Arkansas
Iowa
NewMexico
Ohio
NorthDakota
California
Tennessee
Virginia
Missouri
Minnesota
Colorado
NorthCarolina
NewHampshire
SouthDakota
Washington
Idaho
Kentucky
Oklahoma
Nebraska
Kansas
Wisconsin
WestVirginia
Montana
Utah
Oregon
Hawaii
Maine
Wyoming
Vermont
Alaska
None
1 in 2,000
1 in 1,000
1 in 667
1 in 500
1 6 11 16 21 26 31 36 41 46 51
Rank
TotalDeaths
Masks
No
Yes
Governor
aa
Democratic
Republican
Total US COVID-19 Deaths
p masks as of July 20, 2020: 0.066, p governor: 0.56. NB: association != causation.
2020-10-10 Summary: 24
25. Average US COVID-19 deaths over the past
7 days
NorthDakota
Missouri
Arkansas
SouthDakota
Florida
Kansas
Mississippi
Tennessee
Iowa
Georgia
Texas
SouthCarolina
Louisiana
Montana
Alabama
Illinois
Hawaii
Idaho
Nevada
Indiana
NorthCarolina
Wisconsin
Delaware
Ohio
Utah
Oklahoma
Massachusetts
Virginia
California
WestVirginia
Minnesota
RhodeIsland
Pennsylvania
Kentucky
Nebraska
Arizona
Michigan
NewMexico
Oregon
Colorado
DistrictofColumbia
Washington
Maryland
NewYork
NewHampshire
Connecticut
Alaska
NewJersey
Wyoming
Maine
Vermont
None
1 in 500,000
1 in 250,000
1 in 166,667
1 in 125,000
1 in 100,000
1 in 83,333
1 6 11 16 21 26 31 36 41 46 51
Rank
Deaths/Day
Masks
No
Yes
Governor
aa
Democratic
Republican
Average US COVID-19 deaths over the past 7 days
p masks as of July 20, 2020: 0.036, p governor: 0.033. NB: association != causation.
2020-10-10 Summary: 25
26. Daily testing trends
HI TX FL
OK LA MS AL GA
AZ NM KS AR TN NC SC DC
CA UT CO NE MO KY WV VA MD DE
OR NV WY SD IA IN OH PA NJ CT RI
WA ID MT ND MN IL MI NY MA
WI VT NH
AK ME
min
max
min
max
min
max
min
max
min
max
min
max
min
max
min
max
Dailytestingfrommintomax
Daily testing trends from min to max
Line = Friedman's supersmoother
2020-10-10 Summary: 26
27. Change in daily tests over past 14 days
Mississippi
Wyoming
SouthDakota
RhodeIsland
Kansas
DistrictofColumbia
Delaware
Montana
NewYork
NewJersey
Washington
Connecticut
Wisconsin
Missouri
Oklahoma
Arizona
Michigan
Maine
Florida
Iowa
Virginia
Indiana
Oregon
Pennsylvania
Georgia
Utah
NorthDakota
Alaska
Nebraska
Illinois
Louisiana
Tennessee
Alabama
NorthCarolina
SouthCarolina
Vermont
NewMexico
Idaho
Maryland
WestVirginia
Massachusetts
Nevada
Ohio
Minnesota
Colorado
California
Kentucky
Texas
Arkansas
Hawaii
NewHampshire
-5.0
0.0
5.0
10.0
1 6 11 16 21 26 31 36 41 46 51
Rank
Changeindailytests(%/day)
Masks
No
Yes
Governor
aa
Democratic
Republican
Change in daily tests over past 14 days
p masks as of July 20, 2020: 0.18, p governor: 0.3. NB: association != causation.
2020-10-10 Summary: 27
29. Percent of Positive COVID Tests
NorthDakota
Idaho
SouthDakota
Iowa
Wisconsin
Missouri
Nevada
Utah
Indiana
Wyoming
Kansas
Alabama
Nebraska
Florida
Montana
Arkansas
Oklahoma
Minnesota
Hawaii
Pennsylvania
Texas
Colorado
Oregon
Kentucky
Mississippi
Arizona
Delaware
Tennessee
Georgia
Maryland
NorthCarolina
RhodeIsland
NewHampshire
SouthCarolina
Virginia
NewMexico
Alaska
Illinois
Massachusetts
Louisiana
Ohio
WestVirginia
Michigan
Washington
California
NewJersey
DistrictofColumbia
Vermont
NewYork
Connecticut
Maine
0
10
20
30
1 6 11 16 21 26 31 36 41 46 51
Rank
PercentofPositiveTests
Masks
No
Yes
Governor
aa
Democratic
Republican
Percent of Positive COVID Tests
p masks as of July 20, 2020: 0.0011, p governor: 0.015. NB: association != causation.
2020-10-10 Summary: 29
30. Percent Positive Trends
HI TX FL
OK LA MS AL GA
AZ NM KS AR TN NC SC DC
CA UT CO NE MO KY WV VA MD DE
OR NV WY SD IA IN OH PA NJ CT RI
WA ID MT ND MN IL MI NY MA
WI VT NH
AK ME
1
10
100
1
10
100
1
10
100
1
10
100
1
10
100
1
10
100
1
10
100
1
10
100
PercentPositive(logscale)
Percent Positive Trends
2020-10-10 Summary: 30
31. Change in tests vs. change in positive tests
over last 14 days
AL
AK
AZ
AR
CA
CO
CT
DE
DC
FL
GA
HI
ID
IL IN
IA
KS
KY
LA
ME
MD
MA
MI
MN
MS
MO
MT
NE
NV
NH
NJ
NM
NY
NC
ND
OH OK
OR
PA
RI
SC
SD
TN
TX
UT
VT
VA
WA
WV
WI
WY
-10
-5
0
5
10
-6 -3 0 3 6
Change in tests (%/day)
Changeinpositivetests(%/day)
Change in tests vs. change in positive tests over last 14 days as of 2020-10-10
Size is proportional daily deaths per capita over the past 7 days
2020-10-10 Summary: 31
32. Current hospitalizations as a percent of peak
since FebruaryArkansas
Iowa
Kansas
Montana
Nebraska
Oklahoma
Missouri
Wisconsin
Wyoming
Kentucky
NorthDakota
SouthDakota
WestVirginia
Alaska
Utah
NorthCarolina
Tennessee
Idaho
Minnesota
Indiana
Ohio
Oregon
Virginia
Georgia
NewMexico
Alabama
Mississippi
SouthCarolina
Nevada
Washington
Hawaii
California
Illinois
Texas
Colorado
RhodeIsland
Delaware
Louisiana
Pennsylvania
Maryland
Florida
DistrictofColumbia
Michigan
Arizona
Massachusetts
Maine
NewHampshire
NewJersey
Connecticut
NewYork
Vermont
0
30
60
90
1 6 11 16 21 26 31 36 41 46 51
Rank
Hospitalizations(%ofpeak)
Masks
No
Yes
Governor
aa
Democratic
Republican
Current hospitalizations as a percent of peak since February
p masks as of July 20, 2020: 0.0064, p governor: 0.066. NB: association != causation.
2020-10-10 Summary: 32
33. Hospitalizations trends
HI TX FL
OK LA MS AL GA
AZ NM KS AR TN NC SC DC
CA UT CO NE MO KY WV VA MD DE
OR NV WY SD IA IN OH PA NJ CT RI
WA ID MT ND MN IL MI NY MA
WI VT NH
AK ME
min
max
min
max
min
max
min
max
min
max
min
max
min
max
min
max
Hospitalizationsfrommintomax
Hospitalizations trends from min to max
2020-10-10 Summary: 33
34. Change in hospitalizations over past 14
days
Wyoming
NorthDakota
Connecticut
Montana
Delaware
NewMexico
Wisconsin
Pennsylvania
NewJersey
Michigan
Colorado
NewYork
Arizona
Tennessee
Idaho
SouthDakota
Nebraska
Utah
Ohio
Kansas
Minnesota
Iowa
Kentucky
Massachusetts
Oklahoma
Indiana
Maryland
Missouri
Arkansas
NorthCarolina
Illinois
RhodeIsland
Nevada
Texas
Alaska
Alabama
Virginia
DistrictofColumbia
Oregon
NewHampshire
Florida
Mississippi
Louisiana
California
WestVirginia
SouthCarolina
Washington
Georgia
Maine
Hawaii
Vermont
-10.0
-5.0
0.0
5.0
10.0
1 6 11 16 21 26 31 36 41 46 51
Rank
Changeinhospitalizations(%/day)
Masks
No
Yes
Governor
aa
Democratic
Republican
Change in hospitalizations over past 14 days
p masks as of July 20, 2020: 0.63, p governor: 0.48. NB: association != causation.
2020-10-10 Summary: 34
35. Change in New Cases per Day
Direction
Increasing > +2%
Increasing between +0.5% and +2%
No Change (-0.5% to +0.5%)
Decreasing between -0.5% and -2%
Decreasing > -2%
NA
Trends by county as of 2020-10-10
NA = Inadequate data
2020-10-10 Summary: 35