Fluent Essays

EARTHQUAKES Year Month Day State Magnitude 1964 3 28 Alaska 9.2 1965 2 4 Alaska 8.7 1957 3 9 Alaska 8.6 1938 11 10 Alaska 8.2 1946 4 1 Alaska 8.1 1899 9 10 Alaska 8 1787 5 2 Puerto Rico 8 2002 11 3 Alaska 7.9 1996 6 10 Alaska 7.9 1986 5 7 Alaska 7.9 1899 9 4 Alaska 7.9 1868 4 3 Hawaii 7.9 1857 1 9 California 7.9 2003 11 17 Alaska 7.8 1987 11 30 Alaska 7.8 1929 3 7 Alaska 7.8 1906 4 18 California 7.8 1892 2 24 California 7.8 1988 3 6 Alaska 7.7 1958 7 10 Alaska 7.7 1900 10 9 Alaska 7.7 1975 2 2 Alaska 7.6 1972 7 30 Alaska 7.6 1979 2 28 Alaska 7.5 1943 11 3 Alaska 7.4 1872 3 26 California 7.4 1992 6 28 California 7.3 1965 3 30 Alaska 7.3 1959 8 18 Montana 7.3 1958 4 7 Alaska 7.3 1952 7 21 California 7.3 1937 7 22 Alaska 7.3 1922 1 31 California 7.3 1904 8 27 Alaska 7.3 1886 9 1 South Carolina 7.3 1873 11 23 California 7.3 2007 12 19 Alaska 7.2 2005 6 15 California 7.2 1992 4 25 California 7.2 1980 11 8 California 7.2 1975 11 29 Hawaii 7.2 1947 10 16 Alaska 7.2 1932 12 21 Nevada 7.2 1923 1 22 California 7.2 1912 7 7 Alaska 7.2 2003 3 17 Alaska 7.1 1999 10 16 California 7.1 1957 3 14 Alaska 7.1 1957 3 9 Alaska 7.1 1954 12 16 Nevada 7.1 1953 1 5 Alaska 7.1 1949 4 13 Washington 7.1 1940 5 19 California 7.1 1934 5 4 Alaska 7.1 1927 11 4 California 7.1 1927 10 24 Alaska 7.1 1915 10 3 Nevada 7.1 1901 12 31 Alaska 7.1 1812 12 21 California 7.1 1994 9 1 California 7 1991 8 17 California 7 1966 8 7 Alaska 7 1957 3 16 Alaska 7 1957 3 12 Alaska 7 1910 9 9 Alaska 7 1908 5 15 Alaska 7 1899 9 23 Alaska 7 1899 4 16 California 7 1868 3 29 Hawaii 7 1823 6 2 Hawaii 7 2003 6 23 Alaska 6.9 1989 10 18 California 6.9 1983 10 28 Idaho 6.9 1951 8 21 Hawaii 6.9 1812 12 8 California 6.9 2005 6 14 Alaska 6.8 2004 6 28 Alaska 6.8 2001 2 28 Washington 6.8 1954 12 16 Nevada 6.8 1954 8 24 Nevada 6.8 1938 1 23 Hawaii 6.8 1925 6 29 California 6.8 1918 4 21 California 6.8 1910 8 5 Oregon 6.8 1898 4 15 California 6.8 1872 12 15 Washington 6.8 1871 2 20 Hawaii 6.8 1868 10 21 California 6.8 1838 6 California 6.8 2007 8 2 Alaska 6.7 2006 10 15 Hawaii 6.7 2002 10 23 Alaska 6.7 1994 1 17 California 6.7 1987 11 24 California 6.7 1983 11 16 Hawaii 6.7 1899 12 25 California 6.7 2008 5 2 Alaska 6.6 2008 4 16 Alaska 6.6 2005 6 17 California 6.6 2003 12 22 California 6.6 2003 2 19 Alaska 6.6 1971 2 9 California 6.6 1954 7 6 Nevada 6.6 1934 3 12 Utah 6.6 1925 6 28 Montana 6.6 1895 10 31 Missouri 6.6 1882 11 8 Colorado 6.6 2010 1 10 California 6.5 2007 8 15 Alaska 6.5 1992 6 28 California 6.5 1987 11 24 California 6.5 1965 4 29 Washington 6.5 1959 8 18 Wyoming 6.5 1954 12 21 California 6.5 1934 1 30 Nevada 6.5 1929 10 6 Hawaii 6.5 1911 7 1 California 6.5 1865 10 8 California 6.5 1836 6 10 California 6.5 2007 12 26 Alaska 6.4 1983 5 2 California 6.4 1979 10 15 California 6.4 1933 3 11 California 6.4 1932 6 6 California 6.4 1901 3 3 California 6.4 1892 4 21 California 6.4 1892 4 19 California 6.4 2003 1 16 Oregon 6.3 1947 11 23 Montana 6.3 1935 10 19 Montana 6.3 1915 6 23 California 6.3 1898 3 31 California 6.3 1897 6 20 California 6.3 1890 2 24 California 6.3 1843 1 5 Arkansas 6.3 1992 4 23 California 6.2 1986 7 21 California 6.2 1984 4 24 California 6.2 1980 5 25 California 6.2 1975 3 28 Idaho 6.2 1973 4 26 Hawaii 6.2 1986 7 8 California 6.1 1975 6 30 Wyoming 6.1 1966 6 28 California 6.1 1944 7 12 Idaho 6.1 1934 6 8 California 6.1 1926 10 22 California 6.1 1922 3 10 California 6.1 2008 2 21 Nevada 6 2004 9 28 California 6 1993 9 21 Oregon 6 1980 5 27 California 6 1935 10 31 Montana 6 1987 10 1 California 5.9 1966 9 12 California 5.9 1935 10 12 Montana 5.9 1897 5 31 Virginia 5.9 2011 8 23 Virginia 5.8 2009 1 24 Alaska 5.8 1984 11 23 California 5.8 1980 1 27 California 5.8 1980 1 24 California 5.8 1975 8 1 California 5.8 1952 8 22 California 5.8 1931 8 16 Texas 5.8 1992 6 29 Nevada 5.7 1979 8 6 California 5.7 1969 10 2 California 5.7 2011 11 6 Oklahoma 5.6 2007 10 31 California 5.6 2005 7 26 Montana 5.6 1992 9 2 Utah 5.6 1991 6 28 California 5.6 1987 10 4 California 5.6 1959 7 21 Arizona 5.6 2008 7 29 California 5.5 1952 4 9 Oklahoma 5.5 1940 12 24 New Hampshire 5.5 1940 12 20 New Hampshire 5.5 1926 6 29 California 5.5 1909 5 16 North Dakota 5.5 1884 8 10 New York 5.5 2008 4 18 Illinois 5.4 2008 4 30 California 5.4 2007 8 14 Hawaii 5.4 1989 8 8 California 5.4 1968 11 9 Illinois 5.4 1955 10 24 California 5.4 1937 3 9 Ohio 5.4 2011 8 23 Colorado 5.3 2005 7 15 Hawaii 5.3 2003 8 15 California 5.3 2002 2 6 Alaska 5.3 2002 6 17 California 5.3 1995 2 3 Wyoming 5.3 1983 10 7 New York 5.3 1967 8 9 Colorado 5.3 1957 3 22 California 5.3 1783 11 30 New Jersey 5.3 2009 4 14 Hawaii 5.2 2007 5 9 California 5.2 2005 6 12 California 5.2 2003 2 22 California 5.2 1998 9 25 Pennsylvania 5.2 1980 7 27 Kentucky 5.2 1916 2 21 North Carolina 5.2 2005 7 17 Hawaii 5.1 2002 4 20 New York 5.1 1987 6 10 Illinois 5.1 1966 1 23 New Mexico 5.1 1964 3 28 Nebraska 5.1 1916 10 18 Alabama 5.1 1909 9 27 Indiana 5.1 1909 5 26 Illinois 5.1 1904 3 21 Maine 5.1 1877 11 15 Nebraska 5.1 1867 4 24 Kansas 5.1 2008 4 26 Nevada 5 2005 8 10 New Mexico 5 2004 1 7 Wyoming 5 2000 9 3 California 5 1986 1 31 Ohio 5 1980 5 18 Washington 5 1865 8 17 Tennessee 5 2005 6 16 California 4.9 2004 7 12 Oregon 4.9 2002 5 14 California 4.9 2006 7 27 Alaska 4.8 2002 9 3 California 4.8 1884 9 19 Ohio 4.8 2011 2 28 Arkansas 4.7 2009 5 18 California 4.7 2005 9 22 California 4.7 2003 8 27 Hawaii 4.7 2003 1 25 California 4.7 2003 3 11 California 4.6 2003 4 29 Alabama 4.6 2002 3 16 California 4.6 2002 6 18 Indiana 4.6 1994 1 16 Pennsylvania 4.6 1975 7 9 Minnesota 4.6 1947 8 10 Michigan 4.6 1931 12 17 Mississippi 4.6 2009 1 30 Washington 4.5 2009 1 9 California 4.5 2007 5 8 Montana 4.5 2006 10 20 California 4.5 2005 10 31 Montana 4.5 2003 12 9 Virginia 4.5 2003 8 21 Wyoming 4.5 2002 6 29 Oregon 4.5 1969 11 20 West Virginia 4.5 1928 11 3 Tennessee 4.5 1914 3 5 Georgia 4.5 1911 6 2 South Dakota 4.5 2007 8 9 California 4.4 2002 11 11 South Carolina 4.4 1984 4 23 Pennsylvania 4.4 2009 3 30 California 4.3 2007 7 2 California 4.3 2007 7 20 California 4.2 2006 3 22 Montana 4.2 2005 5 1 Arkansas 4.2 2004 6 28 Illinois 4.2 2003 5 25 California 4.2 2002 10 22 Wyoming 4.2 1962 4 10 Vermont 4.2 1930 10 19 Louisiana 4.2 1901 5 17 Ohio 4.2 2005 12 19 New Mexico 4.1 2005 2 10 Arkansas 4.1 2005 5 6 California 4.1 2003 2 2 California 4.1 2002 9 21 Washington 4.1 2011 12 31 Ohio 4 2004 4 7 Wyoming 4 2003 4 30 Arkansas 4 2003 9 5 California 4 2003 5 24 California 4 2003 6 6 Kentucky 4 2003 5 25 South Dakota 4 2003 8 27 California 3.9 2003 5 5 Virginia 3.9 2002 11 24 California 3.9 2006 10 2 Maine 3.8 2006 2 10 Colorado 3.8 2004 8 29 Wyoming 3.8 2003 5 26 California 3.8 2003 8 26 New Jersey 3.8 2009 8 18 Colorado 3.7 2004 9 17 Kentucky 3.7 2003 5 30 Washington 3.7 2002 6 16 Washington 3.7 2006 1 2 Illinois 3.6 2004 8 19 Alabama 3.6 2003 6 20 Washington 3.6 2003 10 7 California 3.6 2003 7 22 Massachusetts 3.6 2002 12 24 California 3.6 2009 4 30 California 3.5 2009 6 8 California 3.5 2009 3 8 California 3.5 2003 10 19 California 3.5 1976 3 11 Rhode Island 3.5 2003 5 26 California 3.4 2003 9 13 California 3.4 2003 9 22 Idaho 3.3 2002 12 25 New York 3.3 2009 2 3 New Jersey 3 2004 5 30 California 3 STUDY_GPA Student ID First name initial Last name Section of course Number of units enrolled Average study time (hrs) GPA 1005 J Bryant 02 10 21.3905810305805 1.93 1026 E Fisher 02 18 10.3853081243044 2.19 1045 R Turner 02 19 48.4251792637749 2.23 1063 T Howard 01 9 18.2552781888541 3.3 1071 J Tucker 01 14 49.7217615645946 2.42 1082 T Morgan 02 12 15.3488136000693 2.42 1096 T Harper 02 19 49.9904009783596 2.45 1108 A Brown 02 11 24.3060307769599 2.48 1120 J Baker 02 16 44.4984565766055 2.5 1181 L Ruiz 02 12 19.9089451259509 2.5 1189 J Harper 01 14 27.2490592008685 2.51 1239 M Wagner 01 9 24.233338045065 2.55 1267 D Lane 01 12 31.785767735348 2.59 1282 S Torres 02 10 17.4133241537089 2.64 1328 D Wells 02 19 12.002264590935 2.67 1352 K Mitchell 02 16 4.79060675613145 2.68 1388 C Walker 02 16 20.2794704587569 2.7 1411 R Morris 01 10 12.370293152691 2.7 1413 C Payne 02 14 24.2290329561704 2.71 1424 M Baker 01 14 29.8518051187749 2.71 1443 S Simpson 02 9 20.467548315631 2.72 1510 T Brooks 02 14 8.88855650037926 2.8 1520 C Torres 01 9 22.2990472523025 2.81 1601 G Adams 02 15 5.08597791897411 2.81 1613 D Bryant 02 9 4.58988179293921 2.82 1653 L Thompson 02 19 31.1315156999657 2.84 1659 J Perry 02 17 8.45163334927132 2.84 1704 A Dunn 02 15 3.31750039351988 2.85 1727 J Ramirez 02 10 2.84729390118611 2.88 1755 P Martinez 01 12 16.6276466006542 2.9 1756 J Patterson 02 14 36.365025029222 2.91 1757 J Reyes 02 12 41.0194587381647 2.92 1772 A Turner 02 11 37.4631024964448 2.92 1776 M Cooper 02 10 8.52947953507746 2.93 1786 A Olson 01 19 60.0219821971944 2.94 1796 M Nichols 01 15 24.7207118909437 2.95 1798 K Mason 02 9 1.67731118280315 2.95 1799 G Henderson 01 18 59.7213950104645 2.96 1808 A Alexander 02 13 20.5476893277595 3.01 1835 C Murray 02 12 17.2261906067031 3.01 1850 J Torres 01 18 69.006830730013 3.04 1852 M Sanders 02 15 3.92617419731159 3.05 1855 T Jones 01 16 28.9293290269232 3.06 1865 T Wagner 02 16 13.1669322392749 3.06 1894 M Simmons 02 10 20.8605891749545 3.06 1901 D Hughes 02 15 52.5440076810978 3.07 1942 K Carter 02 16 4.9004919826521 3.1 1957 J Lee 01 18 37.8764075040242 3.11 1979 A Carter 02 13 18.6107233216105 3.12 2004 D Miller 01 18 28.6449562421278 3.12 2006 E Wilson 02 17 42.8240131800175 3.12 2013 K Wallace 01 13 37.6129010350503 3.12 2038 S Stewart 02 16 37.3388364335237 3.13 2109 M Hayes 01 14 48.5919820417613 3.14 2146 M Black 01 13 39.5620557100335 3.18 2149 R Green 02 11 27.0813987856179 3.19 2153 J Porter 02 13 22.8940398809007 3.19 2170 T Marshall 01 17 27.8930154875354 3.22 2200 M Warren 02 19 52.6544661408544 3.22 2238 A Owens 01 16 24.5317441562804 3.23 2251 D Sanders 01 19 59.8351559917606 3.23 2260 T Ruiz 02 12 32.055948867023 3.24 2269 K Robertson 02 13 32.0361842313019 3.26 2316 S Olson 02 16 23.8113399161079 3.27 2318 G Hamilton 01 19 34.303662007816 3.28 2321 J Jones 01 18 19.6967666562166 3.28 2328 S Owens 01 16 51.4119204843472 3.31 2358 T Alexander 02 10 11.7851834328776 3.31 2383 P Walker 01 9 34.07996281147 3.33 2385 S Berry 01 14 31.0836398862692 3.33 2436 M Carter 01 19 38.2478119625001 2.8 2444 D Grant 01 11 25.047224925853 3.34 2457 J Williams 02 17 7.8876386163233 3.34 2501 T Moore 01 14 26.3961110945773 3.35 2504 E Kennedy 01 15 24.444920666723 3.37 2507 T Sullivan 01 10 37.3275889411231 3.37 2521 T Shaw 01 12 5.56323820751311 3.38 2570 S Grant 01 10 14.9214295418567 3.39 2579 M Davis 01 15 25.3580320255635 3.41 2609 W Adams 02 15 56.3369529444431 3.42 2619 J Griffin 01 10 13.018143369359 3.44 2632 T Knight 02 10 19.5883612793816 3.45 2639 D Alexander 01 13 24.9214522172331 3.46 2641 M Martin 02 14 25.1103695114657 3.46 2696 J Collins 01 16 33.8069615754331 3.47 2728 G Freeman 01 17 50.46272839022 3.47 2733 B Evans 02 13 12.0053978883686 3.48 2740 K Reed 02 15 12.3589813957731 3.49 2758 L James 02 18 29.070915686931 3.5 2762 A Willis 02 11 26.1777980873258 3.51 2844 R Hart 02 10 6.19117108275703 3.53 2883 D Cole 02 13 36.725504087622 3.56 2890 T Palmer 01 10 36.8172115990041 3.57 2902 J Hill 01 15 7.21129000988383 3.9 2924 S Simmons 01 16 27.0528410193756 3.6 2943 S Owens 01 18 0.772861922519683 3.6 3002 S Bailey 01 13 19.2784711682603 3.6 3015 K Gonzales 02 9 16.0939577743849 3.61 3017 C Morris 01 17 29.6487942918431 3.61 3037 A Graham 02 15 5.1160903811064 3.62 3084 S Brown 01 10 26.3505161476091 3.65 3100 K Henry 02 13 35.84344645722 3.65 3101 C Sullivan 01 12 35.8775733699452 3.67 3108 P Reynolds 02 19 49.3276103126479 3.67 3118 A West 02 19 55.4203801916076 3.67 3121 R Gardner 02 16 15.1430343497279 3.68 3138 M Washington 01 9 5.29455999624662 3.69 3157 A Mcdonald 01 15 49.4377824992117 2.61 3175 J Stephens 01 11 35.968454523463 3.71 3185 E Flores 01 12 12.5723281491419 3.71 3196 A Hughes 01 12 18.9506039106988 3.71 3202 T Grant 02 13 37.1019883095762 3.72 3274 K Tucker 01 15 25.1037943922467 3.75 3292 J Lewis 02 12 21.5346141110801 3.79 3337 S Cole 02 17 8.36880542727597 3.82 3340 J Edwards 01 9 18.396564214675 3.87 3382 T Davis 01 14 36.6028122928007 3.89 3407 K Scott 01 16 14.6139501391975 3.9 3438 J Johnson 02 10 17.8011159583931 3.9 3478 R Rice 02 16 44.442488768344 3.91 3480 J Martin 01 10 33.3352708119598 3.93 3491 J Ellis 01 11 19.1091214600527 3.94 HW #2 Important Note1: For all questions below assume the test level is 𝜶𝜶 = 𝟎𝟎. 𝟎𝟎𝟎𝟎 Important Note2: For each question which asks you to do a hypothesis test, you need to (1) Write down your null and alternative hypothesis clearly and mention which test is appropriate in your word report, (2) Write a code in SAS to execute the test and (3) give the results of the test in your word report. 1. The United States Geological Survey provides data on earthquakes of historical interest. The SAS data set called EARTHQUAKES contains data about earthquakes with a magnitude greater than 2.5 in the United States and its territories. The variables are year, month, day, state, and magnitude. (a) California and Alaska are the two states with the highest number of earthquakes in the country. Create a new data set that includes only these two. Note: From here and on, use the California and Alaska data you created from part a) to answer questions. (b) You are interested in the following statistics for the magnitude of earthquake: - Mean - Median - Standard deviation - Minimum and maximum - 25th and 75th percentiles Create a table that shows the above statistics across different states within each year. In particular, your table must have years at the first column and it must break down the results across different states in the second column. In order to make the table short, further assume you are interested only in recent years and want to create a table that shows the desired statistics from 2002 to 2011. (c) Modify you SAS code in (b) such that the results for each year is shown in a separate table. (d) Now, assume you want to show the same results in part (b) but with the difference that years are shown is the first column and the states are shown in the top row. Please answer the following questions using all years in the data: (e) You are interested in how the magnitude of earthquakes is trending over time for each state. In one graph, plot two time series plots, side by side, which shows the trend of average magnitude of earthquakes over time for the two states. (f) Test the following null hypothesis: “the average magnitude of earthquakes in California is equal to that of Alaska”. 2. Suppose that at a local university the study guidelines for the College of Science and Math are to study two to three hours per unit per week. The instructor of the class, Orientation to the Statistics Major, takes these guidelines very seriously. He asks students to record their study time each week, and at the end of the term he compares their average study time per week to their term GPA. The SAS data set called STUDY_GPA contains student identification information, orientation course-section number, number of units enrolled, average time studied, and term GPA. (a) Graph the histogram for hours of study. Use the start point=0 and bandwidth=5. Also, overlaid to this graph, display the plots for the kernel density and the best fitting normal curve. Using an eyeballing approach, can we say the hours of study follows a normal distribution? (b) Check statistics of the average hours of study using proc means and proc univariate. What statistics does proc univariate report that proc means does not? (c) Conduct a hypothesis test to check whether there exists a significance correlation between units enrolled, hours of study and GPA for section 2. What is your conclusion? Doe correlation mean that one variable causes the other? 3. A study was conducted to see whether taking vitamin E daily would reduce the levels of atherosclerotic disease in a random sample of 500 individuals. Clinical measurements, including thickness of plaque of the carotid artery (taken via ultrasound), were recorded at baseline and at two subsequent visits in a SAS data set called VITE. Patients were divided into two strata according to their baseline plaque measurement. (a) First, double-click on VITE file to check column names. If your column names are long (e.g., labels are shown instead of column names), then go the menu and change the setting to column names. (b) Use proc content to see variable names as well as variable labels to better understand each variable. Note that the current data is in long format. We first want to transform the data to wide format so that we can conduct certain statistical analyses. See the following reference materials to understand the difference between long and wide formats. Basically, long formats have repeated observations for a given person, whereas wide formats record those observations column-wise. Use proc transpose command to so that plague values for each visit (0, 1, 2) are recorded in 3 separate columns as opposed to 3 rows, by ID and treatment a. Reference1:https://stats.idre.ucla.edu/sas/modules/how-to-reshape-data-long-to-wide- using-proc-transpose/ b. Reference2: https://data.library.virginia.edu/reshaping-data-from-wide-to-long/ (c) Assume there were no placebo group (i.e., treatment = 0) in your data set. Conduct a test to see whether there is a difference in plaque level before treatment and after the second visit? Interpret your results. https://stats.idre.ucla.edu/sas/modules/how-to-reshape-data-long-to-wide-using-proc-transpose/ https://stats.idre.ucla.edu/sas/modules/how-to-reshape-data-long-to-wide-using-proc-transpose/ https://data.library.virginia.edu/reshaping-data-from-wide-to-long/ (d) Now, considering the fact that there is indeed a control group in your dataset, conduct a new test to check whether there is a difference in plaque level before treatment and after the second visit. Interpret your results. (Hint: You need to make sure that the reduction in plaque level (if any) is indeed due to taking vitamin E. This is how having the control group in the study helps. In particular, you need to test whether the reduction in plaque level for treatment group is significantly less than that for control group) (e) Which of the tests in part (c) and (d) is more reliable? Explain. (Hint: This should be clear from the hint given above) (f) One of the critical factors in randomizing the subjects in control and treatment groups is to make sure that the subjects are perfectly randomized in all aspects. Using the last two columns (i.e., alcohol and cigarette usage) of the original (long format) data, conduct two tests to check whether subjects are randomized perfectly. If they are perfectly randomized, then we should not expect much difference in alcohol (or cigarette) consumption for control vs. treatment groups. VITE Subject ID 0=baseline, 1=first year, and 2=second year Strata 1=baseline plaque 0.60mm+ and 2=baseline plaque below 0.60mm 0=placebo and 1=vitamin E Plaque measurement (mm) HDL cholesterol (mg/DL) LDL cholesterol (mg/DL) triglycerides mg/dL Systolic blood pressure (mm/Mg) Diastolic blood pressure (mm/Mg) Number of alcoholic drinks per day Number of cigarettes smoked per day 1 0 1 0 0.8073 42 127 149 106 70 1 0 1 1 1 0 0.758 44 143 49 131 109 2 0 1 2 1 0 0.8098 40 158 98 136 87 2 0 2 0 1 0 0.7576 39 138 211 157 100 1 6 2 1 1 0 0.6866 46 147 29 154 108 2 6 2 2 1 0 0.8231 53 161 177 65 70 3 6 3 0 1 0 0.7522 53 133 163 169 106 1 0 3 1 1 0 0.7857 36 146 198 172 91 2 0 3 2 1 0 0.8031 39 119 140 140 90 3 0 4 0 1 0 0.8163 46 139 247 142 103 0 0 4 1 1 0 0.6004 46 139 47 131 93 0 0 4 2 1 0 0.9694 40 150 153 164 96 0 0 5 0 1 0 0.7977 47 152 182 163 101 0 3 5 1 1 0 0.9573 45 145 90 73 89 0 5 5 2 1 0 0.7973 41 142 133 150 59 0 0 6 0 1 0 0.818 46 147 326 145 101 0 0 6 1 1 0 0.8699 48 154 90 123 74 0 0 6 2 1 0 0.8396 48 138 250 135 88 0 0 7 0 1 0 0.8747 48 136 178 148 98 2 0 7 1 1 0 0.9285 46 150 213 141 108 3 0 7 2 1 0 0.7459 35 120 206 154 85 3 0 8 0 1 0 0.8679 55 142 105 136 87 0 0 8 1 1 0 0.7639 41 154 54 99 112 0 0 8 2 1 0 0.8181 46 159 163 185 83 0 0 9 0 1 0 0.8258 51 167 304 176 99 1 0 9 1 1 0 0.8427 48 135 313 146 91 1 0 9 2 1 0 0.7831 41 112 152 180 75 1 0 10 0 1 0 0.748 55 126 202 90 81 0 6 10 1 1 0 0.8058 48 139 276 146 126 0 7 10 2 1 0 0.9249 38 141 47 68 95 0 7 11 0 1 0 0.8798 53 137 169 105 84 0 10 11 1 1 0 0.8043 45 128 81 97 84 0 10 11 2 1 0 0.7729 48 150 205 119 79 0 10 12 0 1 0 0.782 46 138 326 143 60 0 0 12 1 1 0 0.7425 34 132 41 116 64 0 0 12 2 1 0 0.7648 35 125 111 83 102 0 0 13 0 1 0 0.8861 39 146 341 209 95 0 4 13 1 1 0 0.6375 52 107 67 159 83 0 6 13 2 1 0 0.7867 47 136 271 162 74 0 6 14 0 1 0 0.7743 40 124 118 164 100 1 10 14 1 1 0 0.7877 43 157 234 146 91 2 10 14 2 1 0 0.9378 34 124 453 175 70 1 11 15 0 1 0 0.8831 41 127 176 86 107 0 0 15 1 1 0 0.7128 39 114 171 143 71 0 0 15 2 1 0 0.9132 44 149 235 152 57 0 0 16 0 1 0 0.8635 50 117 160 163 94 2 28 16 1 1 0 0.8794 44 127 53 144 108 3 30 16 2 1 0 0.7312 53 161 291 183 59 2 28 17 0 1 0 0.8619 47 123 335 146 111 0 0 17 1 1 0 0.7524 44 156 138 165 75 0 0 17 2 1 0 0.8108 63 134 204 111 90 0 0 18 0 1 0 0.7084 47 139 66 141 83 0 0 18 1 1 0 0.627 42 146 142 133 72 0 0 18 2 1 0 0.71 41 119 226 176 60 0 0 19 0 1 0 0.9107 49 172 313 97 84 1 0 19 1 1 0 0.7476 47 151 241 201 73 2 0 19 2 1 0 0.8777 49 155 290 202 47 2 0 20 0 1 0 0.8402 40 164 160 158 81 0 0 20 1 1 0 0.6602 48 108 201 99 101 0 0 20 2 1 0 0.7794 48 157 187 163 63 0 0 21 0 1 0 0.8124 48 151 133 115 79 0 10 21 1 1 0 0.6003 47 144 188 193 100 0 10 21 2 1 0 0.7905 44 153 244 182 98 0 10 22 0 1 0 0.8838 46 145 120 125 97 1 10 22 1 1 0 0.7401 37 135 134 166 86 3 11 22 2 1 0 0.8268 50 134 86 146 80 1 0 23 0 1 0 0.7474 46 159 131 147 98 0 0 23 1 1 0 0.6704 44 145 187 130 91 0 0 23 2 1 0 0.8699 35 135 205 124 71 0 0 24 0 1 0 0.7439 47 139 128 193 81 0 0 24 1 1 0 0.7047 37 141 112 192 94 0 0 24 2 1 0 0.7216 39 158 102 141 65 0 0 25 0 1 0 0.7851 41 120 215 164 82 2 0 25 1 1 0 0.7718 50 135 56 135 104 4 0 25 2 1 0 0.7886 49 148 90 134 79 0 0 26 0 1 0 0.7787 39 104 211 126 90 1 7 26 1 1 0 0.8541 52 166 65 152 104 1 7 26 2 1 0 0.7805 40 122 212 90 77 1 9 27 0 1 0 0.8078 43 127 178 194 80 0 0 27 1 1 0 0.7706 35 141 106 150 105 0 0 27 2 1 0 0.7689 56 156 109 189 94 0 0 28 0 1 0 0.9199 53 122 175 158 68 0 0 28 1 1 0 0.8199 43 108 212 120 98 0 0 28 2 1 0 0.8748 50 147 176 210 87 0 0 29 0 1 0 0.8197 44 147 186 127 96 2 0 29 1 1 0 0.8828 39 130 70 118 118 3 0 29 2 1 0 0.7829 50 147 162 127 91 4 0 30 0 1 0 0.6909 52 157 276 155 95 0 0 30 1 1 0 0.9662 49 127 275 103 114 0 0 30 2 1 0 0.6607 49 164 316 119 91 0 0 31 0 1 0 0.8145 50 114 127 177 66 2 0 31 1 1 0 0.8956 46 131 227 162 128 3 0 31 2 1 0 0.7581 48 148 137 186 102 4 0 32 0 1 0 0.8064 35 145 173 122 97 1 20 32 1 1 0 0.8347 35 103 168 154 67 2 21 32 2 1 0 0.809 44 159 77 142 76 3 22 33 0 1 0 0.8955 45 142 202 159 103 1 0 33 1 1 0 0.8344 43 142 35 145 72 3 0 33 2 1 0 0.7592 45 156 56 191 117 3 0 34 0 1 0 0.7924 49 133 92 137 114 0 18 34 1 1 0 0.7434 45 167 78 139 82 0 19 34 2 1 0 0.7482 43 142 177 114 84 0 20 35 0 1 0 0.8365 54 138 46 172 79 2 0 35 1 1 0 0.8674 47 139 253 173 82 2 0 35 2 1 0 0.7606 49 114 208 182 83 0 0 36 0 1 0 0.8709 46 119 197 164 96 0 0 36 1 1 0 0.8086 52 153 185 172 96 0 0 36 2 1 0 0.8451 31 114 218 138 87 0 0 37 0 1 0 0.8645 35 154 99 174 111 0 0 37 1 1 0 0.6408 60 169 192 148 60 0 0 37 2 1 0 0.8352 43 141 205 130 96 0 0 38 0 1 0 0.9006 42 145 184 140 73 0 0 38 1 1 0 0.7417 43 117 228 102 109 0 0 38 2 1 0 0.9067 38 125 69 150 85 0 0 39 0 1 0 0.8036 42 98 448 137 64 0 0 39 1 1 0 0.7634 43 129 193 116 89 0 0 39 2 1 0 0.7676 38 116 276 108 81 0 0 40 0 1 0 0.815 53 145 171 118 118 2 10 40 1 1 0 0.8741 40 138 184 201 100 2 12 40 2 1 0 0.8633 36 116 158 140 98 3 10 41 0 1 0 0.6544 42 157 239 193 97 1 0 41 1 1 0 0.8685 56 121 154 195 95 1 0 41 2 1 0 0.7634 45 144 74 166 83 3 0 42 0 1 0 0.8809 40 146 347 150 89 0 6 42 1 1 0 0.8401 40 120 295 166 92 0 6 42 2 1 0 0.7515 40 170 178 111 103 0 7 43 0 1 0 0.7309 52 128 142 150 85 1 0 43 1 1 0 0.7574 46 131 75 136 86 2 0 43 2 1 0 0.7382 51 137 288 160 102 3 0 44 0 1 0 0.702 66 146 226 165 79 0 0 44 1 1 0 0.9691 40 127 152 147 86 0 0 44 2 1 0 0.8328 40 127 94 123 104 0 0 45 0 1 0 0.7515 59 135 152 122 85 0 0 45 1 1 0 0.8986 35 144 91 204 75 0 0 45 2 1 0 0.7638 50 154 325 172 88 0 0 46 0 1 0 0.8985 43 114 226 177 122 2 0 46 1 1 0 0.7561 38 136 83 140 110 3 0 46 2 1 0 0.8111 39 151 65 200 119 3 0 47 0 1 0 0.8539 45 117 72 153 95 0 0 47 1 1 0 0.7478 46 139 223 200 89 0 0 47 2 1 0 0.9897 33 147 163 194 92 0 0 48 0 1 0 0.757 35 129 289 151 80 0 0 48 1 1 0 0.7137 37 136 127 110 101 0 0 48 2 1 0 0.6693 48 139 162 149 111 0 0 49 0 1 0 0.7988 41 150 147 104 109 2 4 49 1 1 0 0.9201 48 155 227 164 96 4 5 49 2 1 0 0.7328 39 162 197 175 70 3 5 50 0 1 0 0.7862 40 135 25 118 80 0 20 50 1 1 0 0.8 46 149 204 130 80 0 21 50 2 1 0 0.6576 32 114 128 129 64 0 21 51 0 1 0 0.7495 38 152 360 159 53 0 0 51 1 1 0 0.879 53 104 134 160 75 0 0 51 2 1 0 0.6326 48 136 334 136 107 0 0 52 0 1 0 0.7485 55 132 166 95 97 0 0 52 1 1 0 0.8096 44 149 366 110 78 0 0 52 2 1 0 0.8983 33 127 251 160 86 0 0 53 0 1 0 0.9011 53 143 33 110 101 0 20 53 1 1 0 0.81 52 122 280 141 106 0 20 53 2 1 0 0.7062 51 119 102 118 68 0 20 54 0 1 0 0.6999 34 146 30 147 88 2 6 54 1 1 0 0.8978 48 112 115 133 73 3 8 54 2 1 0 0.9326 50 138 201 162 98 2 7 55 0 1 0 0.9174 51 160 130 185 69 0 4 55 1 1 0 0.6437 49 146 281 113 82 0 5 55 2 1 0 0.8537 52 170 287 124 83 0 4 56 0 1 0 0.7954 56 145 202 187 86 2 0 56 1 1 0 0.9051 41 133 196 138 105 3 0 56 2 1 0 0.8408 43 130 188 141 94 3 0 57 0 1 0 0.6422 51 138 195 95 112 0 0 57 1 1 0 0.7044 42 141 176 97 73 0 0 57 2 1 0 0.793 38 144 242 139 73 0 0 58 0 1 0 0.7263 39 168 78 162 78 3 28 58 1 1 0 0.7374 43 107 343 154 91 5 30 58 2 1 0 0.7244 51 111 227 147 95 5 29 59 0 1 0 0.8251 55 136 335 135 100 0 18 59 1 1 0 0.7937 47 137 223 164 45 0 19 59 2 1 0 0.6936 43 113 106 197 112 0 19 60 0 1 0 0.8774 58 115 192 127 98 0 0 60 1 1 0 0.7951 54 133 143 175 72 0 0 60 2 1 0 0.8409 40 139 294 111 78 0 0 61 0 1 0 0.7867 37 144 30 165 117 0 12 61 1 1 0 0.9512 54 128 250 161 114 0 13 61 2 1 0 0.8203 44 136 52 118 74 0 14 62 0 1 0 0.8364 49 120 486 169 93 0 12 62 1 1 0 0.7548 41 126 153 121 67 0 13 62 2 1 0 0.8163 45 144 287 168 99 0 12 63 0 1 0 0.8154 47 110 54 109 102 0 20 63 1 1 0 0.6709 44 116 171 134 67 0 21 63 2 1 0 0.8307 54 115 131 155 80 0 22 64 0 1 0 0.8131 44 116 225 99 78 0 0 64 1 1 0 0.7678 44 148 326 132 86 0 0 64 2 1 0 0.7484 36 147 58 184 77 0 0 65 0 1 0 0.7486 42 133 130 91 95 2 0 65 1 1 0 0.7404 44 133 140 148 80 4 0 65 2 1 0 0.9332 46 159 164 123 100 2 0 66 0 1 0 0.7172 50 120 108 156 69 0 0 66 1 1 0 0.8426 42 149 57 170 51 0 0 66 2 1 0 0.8181 41 146 186 159 99 0 0 67 0 1 0 0.8678 56 135 199 138 94 1 0 67 1 1 0 0.7679 41 138 256 117 67 2 0 67 2 1 0 0.8241 47 124 85 115 84 2 0 68 0 1 0 0.7587 54 132 367 138 86 6 0 68 1 1 0 0.8142 42 144 120 117 76 6 0 68 2 1 0 0.7842 55 142 103 143 100 6 0 69 0 1 0 0.8028 36 143 201 171 97 1 0 69 1 1 0 0.846 36 110 98 150 94 3 0 69 2 1 0 0.6814 44 136 274 138 89 1 0 70 0 1 0 0.7352 36 146 172 130 97 0 0 70 1 1 0 0.7041 39 146 151 157 86 0 0 70 2 1 0 0.7912 51 171 188 111 74 0 0 71 0 1 0 0.7038 47 161 193 171 93 1 0 71 1 1 0 0.6996 59 127 265 118 103 1 0 71 2 1 0 0.8012 39 126 155 108 88 2 0 72 0 1 0 0.8418 47 146 168 113 85 0 10 72 1 1 0 0.8569 37 126 302 172 93 0 10 72 2 1 0 0.856 55 136 53 93 61 0 11 73 0 1 0 0.6714 47 160 145 156 81 0 0 73 1 1 0 0.7075 53 155 200 125 107 0 0 73 2 1 0 0.7768 41 119 79 137 70 0 0 74 0 1 0 0.8538 47 124 126 155 99 0 28 74 1 1 0 0.7234 40 96 38 155 72 0 29 74 2 1 0 0.7361 44 162 135 174 93 0 0 75 0 1 0 0.7939 38 133 29 105 74 1 0 75 1 1 0 0.888 46 141 144 175 73 2 0 75 2 1 0 0.7249 42 132 171 114 82 2 0 76 0 1 0 0.7327 59 144 225 188 99 1 0 76 1 1 0 0.8688 46 144 180 153 84 3 0 76 2 1 0 0.7596 45 144 97 138 99 2 0 77 0 1 0 0.8647 40 133 110 141 100 5 10 77 1 1 0 0.8357 44 103 381 112 99 7 12 77 2 1 0 0.7359 56 125 176 121 65 5 10 78 0 1 0 0.8049 48 145 28 179 86 1 0 78 1 1 0 0.7606 41 140 263 145 57 1 0 78 2 1 0 0.6996 51 147 287 146 86 3 0 79 0 1 0 0.688 59 104 166 172 104 2 16 79 1 1 0 0.7401 40 118 102 155 53 2 16 79 2 1 0 0.7419 37 132 258 163 59 4 16 80 0 1 0 0.8497 47 150 76 135 76 0 5 80 1 1 0 0.782 50 115 118 130 74 0 5 80 2 1 0 0.8613 52 137 181 123 92 0 7 81 0 1 0 0.8793 43 166 396 126 86 0 10 81 1 1 0 0.9595 47 121 211 116 110 0 12 81 2 1 0 0.9594 43 126 133 125 89 0 11 82 0 1 0 0.9283 38 157 341 183 101 0 0 82 1 1 0 0.8165 42 130 146 164 96 0 0 82 2 1 0 0.6706 52 122 112 158 109 0 0 83 0 1 0 0.7718 42 163 300 171 73 0 0 83 1 1 0 0.6742 45 115 277 151 94 0 0 83 2 1 0 0.7795 46 127 155 214 88 0 0 84 0 1 0 0.8663 44 150 205 149 98 2 0 84 1 1 0 0.8196 43 111 345 142 102 3 0 84 2 1 0 0.8731 36 142 207 117 88 4 0 85 0 1 0 0.7573 40 135 169 132 87 0 0 85 1 1 0 0.7712 36 160 143 105 91 0 0 85 2 1 0 0.731 42 128 258 153 101 0 0 86 0 1 0 0.8765 41 136 167 183 99 0 0 86 1 1 0 0.7362 38 142 267 167 79 0 0 86 2 1 0 0.81 42 126 33 106 51 0 0 87 0 1 0 0.9066 54 138 173 217 60 0 0 87 1 1 0 0.7034 29 145 201 152 41 0 0 87 2 1 0 0.7686 58 156 148 142 69 0 0 88 0 1 0 0.9312 52 131 115 111 78 0 10 88 1 1 0 0.9725 53 122 300 169 94 0 12 88 2 1 0 0.7934 42 145 126 94 71 0 11 89 0 1 0 0.9479 39 153 96 144 103 2 15 89 1 1 0 0.7944 39 183 124 155 65 4 15 89 2 1 0 0.7145 54 144 272 117 86 4 15 90 0 1 0 0.8146 48 121 29 173 119 1 7 90 1 1 0 0.6968 48 129 191 111 100 2 9 90 2 1 0 0.8088 45 116 210 174 77 2 8 91 0 1 0 0.8435 46 152 243 130 99 0 0 91 1 1 0 0.7771 31 114 155 196 69 0 0 91 2 1 0 0.8208 39 140 77 140 59 0 0 92 0 1 0 0.9537 45 145 188 151 73 2 0 92 1 1 0 0.7885 52 148 32 135 101 4 0 92 2 1 0 0.7254 49 158 261 184 87 2 0 93 0 1 0 0.8242 49 120 102 188 67 0 0 93 1 1 0 0.8998 37 135 225 140 78 0 0 93 2 1 0 0.7512 47 129 221 132 92 0 0 94 0 1 0 0.9572 41 137 88 87 101 0 10 94 1 1 0 0.9811 40 138 42 166 104 0 10 94 2 1 0 0.8123 48 178 395 147 102 0 10 95 0 1 0 0.8243 39 115 172 151 82 2 0 95 1 1 0 0.9327 44 102 118 94 112 4 0 95 2 1 0 0.8523 56 119 173 152 75 4 0 96 0 1 0 0.8912 44 144 112 142 118 0 0 96 1 1 0 0.7656 42 153 298 156 115 0 0 96 2 1 0 0.7313 52 128 41 207 92 0 0 97 0 1 0 0.7 28 156 86 143 109 3 0 97 1 1 0 0.8487 42 144 294 157 78 3 0 97 2 1 0 0.9709 55 128 268 164 72 5 0 98 0 1 0 0.7095 44 131 465 65 119 2 0 98 1 1 0 0.8397 47 120 155 164 65 2 0 98 2 1 0 0.7573 47 130 151 108 78 3 0 99 0 1 0 0.8437 50 127 137 122 100 3 0 99 1 1 0 0.7444 40 150 166 158 70 4 0 99 2 1 0 0.6863 39 134 151 93 76 5 0 100 0 1 0 0.7188 51 129 259 120 97 0 4 100 1 1 0 0.8044 35 133 275 147 91 0 4 100 2 1 0 0.8439 38 135 150 104 105 0 4 101 0 1 0 0.6982 47 141 193 116 97 0 20 101 1 1 0 0.9068 33 140 103 102 95 0 22 101 2 1 0 0.7994 33 142 178 114 84 0 22 102 0 1 0 0.7809 52 143 269 139 95 0 0 102 1 1 0 0.8419 39 155 120 123 106 0 0 102 2 1 0 0.8481 45 138 184 154 67 0 0 103 0 1 0 0.7611 41 136 340 144 76 2 0 103 1 1 0 0.7551 43 128 26 128 75 3 0 103 2 1 0 0.7946 51 145 57 155 77 3 0 104 0 1 0 0.9351 45 130 136 136 79 0 0 104 1 1 0 0.7224 49 169 215 138 81 0 0 104 2 1 0 0.7998 41 133 303 167 59 0 0 105 0 1 0 0.9177 49 137 239 183 58 0 0 105 1 1 0 0.8296 48 127 255 109 89 0 0 105 2 1 0 0.9596 35 145 349 71 92 0 0 106 0 1 0 0.7518 47 114 239 159 81 2 10 106 1 1 0 0.8195 41 145 84 202 114 4 10 106 2 1 0 0.701 58 143 121 205 59 2 11 107 0 1 0 0.809 40 129 129 164 135 0 20 107 1 1 0 0.8403 54 148 109 160 125 0 21 107 2 1 0 0.833 40 140 303 158 93 0 22 108 0 1 0 0.9293 33 150 123 120 107 1 10 108 1 1 0 0.7486 38 169 114 109 97 2 12 108 2 1 0 0.8773 36 108 48 179 84 3 12 109 0 1 0 0.923 60 146 297 154 87 2 0 109 1 1 0 0.7884 37 136 141 126 83 2 0 109 2 1 0 0.7309 51 133 181 99 84 3 0 110 0 1 0 0.9312 39 144 306 165 110 0 4 110 1 1 0 0.9309 43 141 105 179 100 0 4 110 2 1 0 0.6927 47 128 220 90 69 0 0 111 0 1 0 0.8581 35 152 274 185 105 2 0 111 1 1 0 0.7036 38 142 160 176 91 4 0 111 2 1 0 0.844 49 138 60 99 68 4 0 112 0 1 0 0.8955 38 142 130 145 119 2 0 112 1 1 0 0.6366 39 143 263 191 76 3 0 112 2 1 0 0.7048 51 138 158 110 43 3 0 113 0 1 0 0.7814 46 158 252 152 63 0 0 113 1 1 0 0.7451 45 149 312 135 77 0 0 113 2 1 0 0.7817 45 139 83 163 68 0 0 114 0 1 0 0.9198 41 149 75 142 64 1 20 114 1 1 0 0.8418 47 148 146 186 100 3 22 114 2 1 0 0.7708 48 149 109 165 110 3 21 115 0 1 0 0.7862 38 141 337 117 86 0 20 115 1 1 0 0.8249 37 132 244 165 96 0 20 115 2 1 0 0.8 44 156 140 184 90 0 0 116 0 1 0 0.7031 52 181 42 170 80 1 16 116 1 1 0 0.6608 33 139 139 142 89 1 18 116 2 1 0 0.6898 38 142 154 106 65 3 17 117 0 1 0 0.8529 43 137 170 122 98 0 6 117 1 1 0 0.8704 39 145 100 105 108 0 8 117 2 1 0 0.8019 51 131 156 163 83 0 8 118 0 1 0 0.6449 31 175 209 152 84 2 20 118 1 1 0 0.7455 50 154 403 171 73 2 22 118 2 1 0 0.7696 57 133 113 140 81 4 22 119 0 1 0 0.6553 47 153 211 153 110 0 10 119 1 1 0 0.8265 52 159 189 165 102 0 10 119 2 1 0 0.7143 59 141 78 133 78 0 11 120 0 1 0 0.868 43 139 48 119 85 0 16 120 1 1 0 0.8697 36 128 119 176 80 0 18 120 2 1 0 0.8047 36 120 131 152 99 0 17 121 0 1 0 0.8133 53 139 166 149 87 1 20 121 1 1 0 0.6422 43 149 106 126 90 1 20 121 2 1 0 0.9185 47 140 130 117 105 2 21 122 0 1 0 0.6647 61 126 155 173 74 0 6 122 1 1 0 0.8531 45 155 360 152 74 0 7 122 2 1 0 0.705 51 111 414 127 72 0 6 123 0 1 0 0.6703 50 124 174 149 38 0 8 123 1 1 0 0.7727 53 143 189 147 63 0 10 123 2 1 0 0.7396 60 150 176 123 70 0 10 124 0 1 0 0.6348 36 169 219 148 79 2 0 124 1 1 0 0.9005 47 125 190 226 63 3 0 124 2 1 0 0.6864 44 125 123 184 79 3 0 125 0 1 0 0.9622 50 145 129 140 108 0 0 125 1 1 0 0.6681 33 134 106 178 75 0 0 125 2 1 0 0.7339 54 149 134 97 89 0 0 126 0 1 1 0.7683 35 141 120 123 77 0 0 126 1 1 1 0.7952 45 119 76 93 107 0 0 126 2 1 1 0.8089 32 132 169 173 77 0 0 127 0 1 1 0.8118 54 118 155 165 99 2 10 127 1 1 1 0.8438 56 108 130 134 81 4 10 127 2 1 1 0.758 44 126 220 170 64 4 10 128 0 1 1 0.806 52 167 92 112 104 0 10 128 1 1 1 0.7622 39 126 152 126 92 0 12 128 2 1 1 0.7981 36 131 424 98 69 0 11 129 0 1 1 0.8543 47 120 122 145 97 0 0 129 1 1 1 0.647 57 107 221 109 95 0 0 129 2 1 1 0.857 48 150 306 110 102 0 0 130 0 1 1 0.6351 46 122 74 198 103 0 0 130 1 1 1 0.829 58 101 380 123 91 0 0 130 2 1 1 0.7407 50 163 247 124 97 0 0 131 0 1 1 0.711 36 139 285 129 124 0 0 131 1 1 1 0.7857 60 135 164 112 83 0 0 131 2 1 1 0.7235 49 137 115 130 105 0 0 132 0 1 1 0.893 34 143 365 124 110 0 0 132 1 1 1 0.7916 48 132 47 117 69 0 0 132 2 1 1 0.6294 33 133 246 134 78 0 0 133 0 1 1 0.6799 45 126 173 122 99 0 0 133 1 1 1 0.7218 38 119 38 151 74 0 0 133 2 1 1 0.6769 53 135 183 176 96 0 0 134 0 1 1 0.9116 42 149 240 112 123 0 0 134 1 1 1 0.7494 47 141 174 192 112 0 0 134 2 1 1 0.7369 41 121 30 166 77 0 0 135 0 1 1 0.8569 42 152 93 164 105 0 0 135 1 1 1 0.9201 46 116 62 124 87 0 0 135 2 1 1 0.7063 38 131 343 108 99 0 0 136 0 1 1 0.7901 42 148 130 185 108 1 0 136 1 1 1 0.7723 45 126 213 161 114 2 0 136 2 1 1 0.9245 48 137 88 111 98 1 0 137 0 1 1 0.7243 36 152 268 164 97 0 0 137 1 1 1 0.711 35 146 259 101 84 0 0 137 2 1 1 0.7551 46 123 74 125 104 0 0 138 0 1 1 0.8148 40 128 27 172 88 0 0 138 1 1 1 0.7783 41 120 210 145 109 0 0 138 2 1 1 0.801 43 119 161 181 91 0 0 139 0 1 1 0.8397 51 124 244 167 80 0 0 139 1 1 1 0.7809 50 130 250 157 68 0 0 139 2 1 1 0.7527 40 141 273 149 105 0 0 140 0 1 1 0.6937 42 141 245 123 122 0 10 140 1 1 1 0.6669 35 130 161 176 79 0 11 140 2 1 1 0.6699 44 139 162 153 87 0 11 141 0 1 1 0.727 44 140 114 117 78 0 0 141 1 1 1 0.8913 42 142 203 180 113 0 0 141 2 1 1 0.9575 42 130 190 119 97 0 0 142 0 1 1 0.7021 47 146 67 81 94 0 0 142 1 1 1 0.7503 43 166 254 108 96 0 0 142 2 1 1 0.6775 47 129 94 156 84 0 0 143 0 1 1 0.8729 43 122 70 133 73 0 6 143 1 1 1 0.7327 63 134 115 139 90 0 8 143 2 1 1 0.7568 44 137 232 154 96 0 8 144 0 1 1 0.9508 48 141 286 130 95 0 0 144 1 1 1 0.641 49 149 115 106 86 0 0 144 2 1 1 0.6931 32 110 200 164 80 0 0 145 0 1 1 0.8332 46 133 122 157 105 0 0 145 1 1 1 0.7916 42 140 105 156 94 0 0 145 2 1 1 0.6696 46 142 63 162 97 0 0 146 0 1 1 0.6816 44 126 132 165 98 0 0 146 1 1 1 0.8343 54 142 214 151 68 0 0 146 2 1 1 0.7712 38 114 48 113 93 0 0 147 0 1 1 0.8948 40 141 29 153 94 0 0 147 1 1 1 0.7166 32 126 103 158 79 0 0 147 2 1 1 0.9032 47 141 136 113 89 0 0 148 0 1 1 0.7522 48 167 236 125 81 0 15 148 1 1 1 0.8824 42 125 235 110 95 0 15 148 2 1 1 0.9904 52 114 145 158 105 0 17 149 0 1 1 0.8526 41 118 118 130 84 0 6 149 1 1 1 0.9614 49 140 345 109 90 0 8 149 2 1 1 0.6537 41 142 224 102 92 0 7 150 0 1 1 0.713 37 146 203 151 90 0 0 150 1 1 1 0.8269 39 129 129 157 89 0 0 150 2 1 1 0.6517 49 165 217 124 90 0 0 151 0 1 1 0.8393 36 130 137 188 92 0 20 151 1 1 1 0.862 46 168 160 173 95 0 22 151 2 1 1 0.797 37 125 102 111 100 0 22 152 0 1 1 0.7838 43 105 99 172 88 0 0 152 1 1 1 0.765 46 132 107 132 97 0 0 152 2 1 1 0.8354 44 144 123 138 105 0 0 153 0 1 1 0.8351 42 122 173 88 101 0 0 153 1 1 1 0.9654 48 97 26 110 80 0 0 153 2 1 1 0.7542 46 119 52 163 76 0 0 154 0 1 1 0.7038 49 147 228 166 103 0 0 154 1 1 1 0.828 44 144 82 141 89 0 0 154 2 1 1 0.6212 46 145 201 137 82 0 0 155 0 1 1 0.8066 49 118 285 140 74 0 0 155 1 1 1 0.7621 41 147 260 138 95 0 0 155 2 1 1 0.6701 44 119 263 138 103 0 0 156 0 1 1 1.0405 47 124 437 150 107 4 8 156 1 1 1 0.8122 53 143 92 132 90 5 10 156 2 1 1 0.7054 35 124 245 148 90 0 10 157 0 1 1 0.8409 48 149 59 127 100 0 0 157 1 1 1 0.9108 43 127 198 156 86 0 0 157 2 1 1 0.7175 43 123 194 149 97 0 0 158 0 1 1 0.6893 43 134 44 165 102 0 15 158 1 1 1 0.7649 54 93 88 166 111 0 16 158 2 1 1 0.7359 60 108 181 140 80 0 17 159 0 1 1 0.8148 40 160 188 158 97 0 0 159 1 1 1 0.8196 54 157 185 201 85 0 0 159 2 1 1 0.6896 47 131 147 186 87 0 0 160 0 1 1 0.7947 34 130 57 109 96 0 0 160 1 1 1 0.7561 42 124 201 160 112 0 0 160 2 1 1 0.8464 42 128 81 160 86 0 0 161 0 1 1 0.7407 38 142 46 158 106 3 0 161 1 1 1 0.7679 54 134 279 124 85 4 0 161 2 1 1 0.9554 53 128 276 123 86 4 0 162 0 1 1 0.6981 44 132 149 103 88 2 0 162 1 1 1 0.9204 36 128 187 168 97 3 0 162 2 1 1 0.7735 37 118 209 143 101 2 0 163 0 1 1 0.8429 30 144 318 132 110 0 0 163 1 1 1 0.7404 49 143 66 178 107 0 0 163 2 1 1 0.6264 50 158 279 157 97 0 0 164 0 1 1 0.6565 36 150 213 129 109 0 0 164 1 1 1 0.7819 52 114 187 160 91 0 0 164 2 1 1 0.7001 43 119 193 150 95 0 0 165 0 1 1 0.805 40 125 214 174 90 0 0 165 1 1 1 0.7827 45 112 223 85 89 0 0 165 2 1 1 0.8864 44 129 165 121 79 0 0 166 0 1 1 0.7768 26 129 167 102 73 0 0 166 1 1 1 0.7317 40 129 148 109 95 0 0 166 2 1 1 0.7011 40 149 251 111 70 0 0 167 0 1 1 0.7643 51 106 291 105 81 0 3 167 1 1 1 0.8725 45 149 373 173 94 0 5 167 2 1 1 0.6754 43 128 226 122 103 0 3 168 0 1 1 0.7292 42 122 162 155 99 0 0 168 1 1 1 0.771 36 139 114 119 105 0 0 168 2 1 1 0.7161 51 149 140 119 86 0 0 169 0 1 1 0.8521 47 154 349 89 108 1 0 169 1 1 1 0.7277 50 137 240 130 86 3 0 169 2 1 1 0.8428 43 143 58 117 99 2 0 170 0 1 1 0.7304 42 124 135 96 72 0 0 170 1 1 1 0.7854 36 127 219 123 88 0 0 170 2 1 1 0.7774 52 146 107 129 88 0 0 171 0 1 1 0.6417 46 163 131 127 86 0 0 171 1 1 1 0.8208 36 116 100 156 80 0 0 171 2 1 1 0.8495 61 131 329 104 108 0 0 172 0 1 1 0.8649 44 136 237 153 92 0 0 172 1 1 1 0.7636 41 147 69 148 82 0 0 172 2 1 1 0.6094 56 148 64 121 131 0 0 173 0 1 1 0.7025 46 131 395 211 79 0 0 173 1 1 1 0.8207 36 122 161 87 95 0 0 173 2 1 1 0.6473 49 135 133 155 107 0 0 174 0 1 1 0.7591 43 118 188 141 61 0 0 174 1 1 1 0.8279 43 124 313 141 86 0 0 174 2 1 1 0.6116 48 125 182 145 68 0 0 175 0 1 1 0.8974 48 132 257 129 75 0 0 175 1 1 1 0.714 55 167 71 102 103 0 0 175 2 1 1 0.8287 38 153 273 128 71 0 0 176 0 1 1 0.6213 45 142 84 136 92 0 0 176 1 1 1 0.8058 49 103 135 182 90 0 0 176 2 1 1 0.8665 52 130 194 170 84 0 0 177 0 1 1 0.869 45 141 239 158 99 4 0 177 1 1 1 0.8763 39 126 180 115 111 6 0 177 2 1 1 0.7307 46 131 105 179 111 5 0 178 0 1 1 0.958 49 149 198 127 103 0 8 178 1 1 1 0.8688 37 114 207 144 114 0 8 178 2 1 1 0.8226 44 123 176 164 92 0 10 179 0 1 1 0.771 46 134 223 111 92 2 0 179 1 1 1 0.7981 54 116 222 126 82 3 0 179 2 1 1 0.6557 38 118 83 192 101 2 0 180 0 1 1 0.7872 33 145 50 157 90 0 0 180 1 1 1 0.699 46 134 95 126 92 0 0 180 2 1 1 0.7591 56 130 115 124 76 0 0 181 0 1 1 0.9471 55 149 130 121 73 3 0 181 1 1 1 0.6616 36 148 184 133 76 4 0 181 2 1 1 0.7911 41 122 210 135 96 4 0 182 0 1 1 0.8604 47 127 39 125 85 0 8 182 1 1 1 0.7118 50 141 248 139 89 0 10 182 2 1 1 0.7373 46 131 77 131 104 0 10 183 0 1 1 0.8667 42 145 332 163 89 0 12 183 1 1 1 0.7499 46 110 127 123 108 0 14 183 2 1 1 0.7585 42 136 87 149 82 0 14 184 0 1 1 0.8853 41 140 235 114 95 0 0 184 1 1 1 0.9258 47 121 259 115 81 0 0 184 2 1 1 0.8701 48 129 226 112 95 0 0 185 0 1 1 0.7715 42 105 258 163 118 0 0 185 1 1 1 0.771 60 132 194 76 102 0 0 185 2 1 1 0.6354 42 130 301 116 89 0 0 186 0 1 1 0.7286 53 148 154 150 96 0 0 186 1 1 1 0.8065 25 111 217 127 97 0 0 186 2 1 1 0.68 62 138 109 146 91 0 0 187 0 1 1 0.8058 46 140 111 164 88 1 0 187 1 1 1 0.688 45 127 98 140 97 1 0 187 2 1 1 0.8262 48 154 125 155 92 1 0 188 0 1 1 0.6459 44 112 109 181 72 2 0 188 1 1 1 0.8394 45 135 86 155 87 2 0 188 2 1 1 0.7963 57 132 297 167 80 2 0 189 0 1 1 0.8638 42 137 304 121 99 0 0 189 1 1 1 0.7755 40 148 36 148 87 0 0 189 2 1 1 0.626 49 142 167 143 93 0 0 190 0 1 1 0.8068 58 134 193 173 111 2 0 190 1 1 1 0.7813 40 128 78 121 81 2 0 190 2 1 1 0.8404 43 117 238 160 103 2 0 191 0 1 1 0.9648 47 134 288 139 88 0 15 191 1 1 1 0.8229 44 113 60 137 74 0 15 191 2 1 1 0.7248 42 128 183 161 88 0 17 192 0 1 1 0.7367 56 117 191 124 101 0 8 192 1 1 1 0.7148 50 132 315 185 84 0 9 192 2 1 1 0.8117 50 145 133 120 91 0 8 193 0 1 1 0.6834 43 147 143 183 92 0 0 193 1 1 1 0.7438 42 140 269 126 104 0 0 193 2 1 1 0.7311 55 146 273 162 80 0 0 194 0 1 1 0.7911 46 128 260 96 108 0 0 194 1 1 1 0.7842 41 121 315 117 96 0 0 194 2 1 1 0.7073 48 134 73 115 75 0 0 195 0 1 1 0.7575 43 120 52 124 86 0 0 195 1 1 1 0.7436 53 158 88 145 77 0 0 195 2 1 1 0.8622 42 137 275 147 92 0 0 196 0 1 1 0.8738 32 110 54 161 106 0 0 196 1 1 1 0.7089 56 122 51 165 52 0 0 196 2 1 1 0.6083 52 120 350 130 117 0 0 197 0 1 1 0.9608 56 154 186 141 91 0 0 197 1 1 1 0.8709 59 112 293 113 83 0 0 197 2 1 1 0.7021 42 143 95 124 97 0 0 198 0 1 1 0.8432 58 150 141 140 69 4 0 198 1 1 1 0.779 40 137 264 96 87 4 0 198 2 1 1 0.7445 47 127 106 110 117 6 0 199 0 1 1 0.7171 50 139 138 124 97 1 0 199 1 1 1 0.8185 40 120 216 122 86 1 0 199 2 1 1 0.6539 44 129 62 130 101 3 0 200 0 1 1 0.8017 54 144 207 146 102 5 0 200 1 1 1 0.6884 40 113 87 126 108 6 0 200 2 1 1 0.6833 41 124 235 143 99 7 0 201 0 1 1 0.6528 40 111 124 142 88 0 0 201 1 1 1 0.95 46 138 203 172 79 0 0 201 2 1 1 0.718 57 133 344 156 95 0 0 202 0 1 1 0.8845 37 153 141 139 88 0 0 202 1 1 1 0.7312 45 137 111 157 117 0 0 202 2 1 1 0.7635 48 114 158 88 105 0 0 203 0 1 1 0.866 52 146 253 149 86 0 5 203 1 1 1 0.7261 35 135 217 131 84 0 5 203 2 1 1 0.6567 38 132 117 73 81 0 7 204 0 1 1 0.8193 39 153 293 157 103 0 0 204 1 1 1 0.8559 54 121 208 132 92 0 0 204 2 1 1 0.6235 43 140 191 128 97 0 0 205 0 1 1 0.7842 45 144 152 120 110 2 12 205 1 1 1 0.7585 48 160 155 99 91 2 13 205 2 1 1 0.6194 49 122 108 132 103 4 12 206 0 1 1 0.6174 44 157 200 186 100 1 0 206 1 1 1 0.8293 43 114 123 142 75 2 0 206 2 1 1 0.6199 37 139 172 165 97 3 0 207 0 1 1 0.7992 41 157 98 141 99 0 18 207 1 1 1 0.7127 48 136 233 128 101 0 20 207 2 1 1 0.7206 45 133 119 103 93 0 19 208 0 1 1 0.7107 41 119 344 142 88 0 0 208 1 1 1 0.7573 54 116 125 186 87 0 0 208 2 1 1 0.7985 35 124 188 95 106 0 0 209 0 1 1 0.6932 41 124 221 170 120 1 20 209 1 1 1 0.7766 35 113 211 143 92 1 21 209 2 1 1 0.7095 50 125 208 113 95 3 22 210 0 1 1 0.7152 44 122 170 139 97 2 0 210 1 1 1 0.9133 44 142 45 176 89 4 0 210 2 1 1 0.7528 52 132 466 108 106 2 0 211 0 1 1 0.7834 46 128 358 115 75 0 8 211 1 1 1 0.6007 40 135 231 110 96 0 9 211 2 1 1 0.7467 50 139 391 118 103 0 10 212 0 1 1 0.8072 36 138 120 202 85 0 0 212 1 1 1 0.8049 46 141 87 152 85 0 0 212 2 1 1 0.7351 32 124 28 159 101 0 0 213 0 1 1 0.9517 63 128 309 147 77 0 10 213 1 1 1 0.8856 42 131 29 130 74 0 11 213 2 1 1 0.7491 41 123 113 107 73 0 11 214 0 1 1 0.8349 41 131 156 109 127 0 0 214 1 1 1 0.718 59 135 65 137 97 0 0 214 2 1 1 0.7682 48 144 177 110 105 0 0 215 0 1 1 0.8618 49 131 167 135 91 0 0 215 1 1 1 0.9393 33 125 97 156 92 0 0 215 2 1 1 0.8022 46 126 248 133 96 0 0 216 0 1 1 0.6995 41 116 162 121 95 0 15 216 1 1 1 0.7113 46 149 152 122 117 0 16 216 2 1 1 0.9585 50 126 351 141 97 0 17 217 0 1 1 0.7833 49 161 229 132 91 0 0 217 1 1 1 0.725 39 136 110 161 98 0 0 217 2 1 1 0.721 47 133 284 133 92 0 0 218 0 1 1 0.8558 50 141 271 115 99 0 0 218 1 1 1 0.7942 41 129 36 150 90 0 0 218 2 1 1 0.6595 53 119 187 117 82 0 0 219 0 1 1 0.632 58 117 146 175 86 0 0 219 1 1 1 0.6576 53 120 192 121 100 0 0 219 2 1 1 0.8441 48 149 244 155 108 0 0 220 0 1 1 0.8224 39 125 101 119 103 2 0 220 1 1 1 0.9156 46 128 178 172 92 4 0 220 2 1 1 0.6307 47 138 133 137 115 4 0 221 0 1 1 0.6971 47 127 291 100 97 0 0 221 1 1 1 0.7633 55 149 188 111 109 0 0 221 2 1 1 0.61 45 150 79 143 96 0 0 222 0 1 1 0.7027 45 141 90 113 82 2 0 222 1 1 1 0.6588 51 132 100 107 98 4 0 222 2 1 1 0.8192 32 137 187 149 115 4 0 223 0 1 1 0.6672 38 149 201 132 102 2 0 223 1 1 1 0.8657 50 138 118 148 105 2 0 223 2 1 1 0.6817 49 133 223 116 96 2 0 224 0 1 1 0.8546 41 134 147 121 94 0 0 224 1 1 1 0.8245 44 134 179 175 96 0 0 224 2 1 1 0.7514 44 122 54 162 104 0 0 225 0 1 1 1.0808 39 130 126 138 90 0 0 225 1 1 1 0.8559 35 126 272 126 93 0 0 225 2 1 1 0.7457 39 159 128 125 74 0 0 226 0 1 1 0.7601 46 146 175 129 75 3 0 226 1 1 1 0.7768 51 125 250 120 118 5 0 226 2 1 1 0.8601 61 131 137 77 115 3 0 227 0 1 1 0.7309 40 137 121 164 79 0 0 227 1 1 1 0.663 53 127 308 199 112 0 0 227 2 1 1 0.8963 43 128 200 71 95 0 0 228 0 1 1 0.8412 46 123 131 162 101 2 0 228 1 1 1 0.8121 48 148 142 124 76 3 0 228 2 1 1 0.7022 44 134 94 105 92 3 0 229 0 1 1 1.0317 39 117 279 163 122 0 0 229 1 1 1 0.7244 38 164 282 131 59 0 0 229 2 1 1 0.8458 53 124 47 129 94 0 0 230 0 1 1 0.6345 34 126 35 142 99 1 0 230 1 1 1 0.7933 46 99 61 134 98 3 0 230 2 1 1 0.6759 51 139 183 90 100 1 0 231 0 1 1 0.7165 48 136 83 119 81 0 0 231 1 1 1 0.7713 58 127 198 129 99 0 0 231 2 1 1 0.71 41 125 88 167 69 0 0 232 0 1 1 1.0127 48 141 132 153 108 0 0 232 1 1 1 0.7213 52 114 171 150 98 0 0 232 2 1 1 0.6868 40 124 73 142 91 0 0 233 0 1 1 0.771 40 127 113 149 90 0 0 233 1 1 1 0.7439 53 117 296 89 79 0 0 233 2 1 1 0.7622 44 135 53 86 102 0 0 234 0 1 1 0.7016 40 151 243 141 89 0 0 234 1 1 1 0.635 47 134 103 121 75 0 0 234 2 1 1 0.6032 47 135 297 124 102 0 0 235 0 1 1 0.8289 37 135 82 175 110 0 0 235 1 1 1 0.7707 54 154 250 137 85 0 0 235 2 1 1 0.7918 40 139 29 142 94 0 0 236 0 1 1 0.8025 28 156 195 149 96 0 0 236 1 1 1 0.9303 56 121 74 133 126 0 0 236 2 1 1 0.7315 43 141 152 106 97 0 0 237 0 1 1 0.7833 56 130 211 147 98 0 0 237 1 1 1 0.752 42 162 92 183 78 0 0 237 2 1 1 0.7782 47 123 236 133 101 0 0 238 0 1 1 0.8453 43 …