netcdf Hamburg_meteonorm {
dimensions:
	time = 8761 ;
	scalar = 1 ;
variables:
	double latitude(scalar) ;
	double longitude(scalar) ;
	double height(scalar) ;
	double longitude_0(scalar) ;
	float wind_speed(time) ;
		wind_speed:original_name = "FF" ;
		wind_speed:unit = "m/s" ;
		wind_speed:interpolation = "akima" ;
	short cloud_cover(time) ;
		cloud_cover:original_name = "N" ;
		cloud_cover:unit = "1/8" ;
		cloud_cover:interpolation = "akima" ;
	short wind_direction(time) ;
		wind_direction:original_name = "DD" ;
		wind_direction:unit = "deg" ;
		wind_direction:interpolation = "akima" ;
	float beam_radiation(time) ;
		beam_radiation:original_name = "G_Bh" ;
		beam_radiation:unit = "W/m^2" ;
		beam_radiation:interpolation = "akima" ;
	short air_pressure(time) ;
		air_pressure:original_name = "p" ;
		air_pressure:unit = "hPa" ;
		air_pressure:interpolation = "akima" ;
	float relative_humidity(time) ;
		relative_humidity:original_name = "RH" ;
		relative_humidity:unit = "%" ;
		relative_humidity:interpolation = "akima" ;
	float diffuse_radiation(time) ;
		diffuse_radiation:original_name = "G_Dh" ;
		diffuse_radiation:unit = "W/m^2" ;
		diffuse_radiation:interpolation = "akima" ;
	float air_temperature(time) ;
		air_temperature:original_name = "Ta" ;
		air_temperature:unit = "C" ;
		air_temperature:interpolation = "akima" ;
	int time(time) ;
		time:original_name = "hy" ;
		time:unit = "s" ;
		time:extrapolation = "periodic" ;

// global attributes:
		:file_format = 3 ;
		:comment = "created by MeteonormFile.py (v3.2)" ;
		:source_file = "/home/jraedler/tmp/Wetter/HH51_Station.dat" ;
		:latitude = 53.65 ;
		:longitude = -10.117 ;
		:height = 49 ;
		:longitude_0 = -15. ;
data:

 latitude = 53.65 ;

 longitude = -10.117 ;

 height = 49 ;

 longitude_0 = -15 ;

 wind_speed = 3.3, 2.8, 2.5, 2.8, 2.8, 3.2, 2.7, 3.3, 3, 4, 3.7, 3.7, 4, 4.1,
    4, 4.6, 4.1, 4.3, 4, 4, 4.1, 3.5, 3.2, 3, 3, 4, 4.6, 4.5, 4.8, 4.5, 4.8,
    3.8, 4.1, 4, 4.1, 3.7, 4.3, 4.5, 4, 4.5, 4.1, 4.3, 3.5, 3.2, 2.8, 2.4,
    1.7, 0.9, 0.6, 0.5, 0.9, 0.5, 0.5, 0.2, 0.5, 0.6, 0.7, 0.9, 1.7, 1.9,
    2.3, 1.9, 1.2, 1.7, 2.7, 3.5, 3.5, 3, 3.2, 3.4, 3.3, 3.4, 3.4, 3.4, 3.7,
    4, 4.6, 4, 3.4, 3.2, 3.3, 2.8, 3, 2.8, 3.4, 2.8, 2.4, 2.4, 2.5, 2.8, 2.8,
    3.2, 2.7, 3, 3, 2.8, 3.7, 4.1, 3.8, 3.5, 4.3, 4, 4.5, 4, 3.8, 3.5, 3.2,
    3.2, 3, 3.5, 3.4, 3.4, 4, 4.5, 4.5, 3.7, 4.3, 4.5, 4.3, 4.5, 5.3, 5.5,
    5.5, 5.5, 5.5, 5.3, 5.5, 5.5, 5.5, 4.8, 5, 5.3, 6, 6.3, 6.7, 6.3, 5.5,
    4.3, 4.3, 3.7, 4, 3.4, 3.3, 2.7, 2.7, 2.1, 2.3, 2.4, 2.5, 2.1, 1.7, 2.1,
    1.7, 1.7, 1.9, 2.1, 1.5, 2.3, 2.3, 1.7, 1.9, 2.1, 2.4, 2.7, 2.5, 2.8,
    2.7, 2.7, 2.4, 2.5, 2.7, 2.1, 1.5, 0.7, 0.2, 0.3, 0.7, 1.1, 2.1, 2.4, 3,
    3.5, 3.2, 2.4, 3.2, 3.3, 3.2, 3, 3.2, 3.8, 4, 4.6, 4.1, 4.5, 4.6, 4.6,
    4.3, 4.1, 4.6, 4.6, 4, 4.5, 4.6, 4.8, 4.5, 4.1, 4.3, 4, 4.1, 5, 5.3, 5.1,
    5.1, 5, 4.6, 4.8, 4.6, 5.5, 4.8, 4.5, 4.8, 5.1, 4.8, 4.6, 4.8, 5.7, 6.5,
    6, 6.7, 7.3, 8.2, 8.2, 7.8, 10.2, 9.7, 9.4, 8.2, 6.9, 6.9, 7.3, 7.1, 7.1,
    7.5, 6.9, 7.3, 8, 7.8, 7.5, 9.1, 9.1, 8.4, 7.8, 8, 6.5, 9.1, 9.4, 9.7,
    11.3, 11, 10.2, 9.7, 10.2, 9.7, 10.7, 12.4, 11.9, 10.7, 9.1, 8.7, 8.7,
    9.7, 7.8, 7.3, 7.3, 7.1, 6.3, 6.9, 7.1, 6.9, 6.3, 6.7, 7.3, 8, 6.5, 6.5,
    6, 5.5, 4.3, 4.8, 5, 5.5, 6.5, 6.2, 6.5, 7.1, 6.7, 6.5, 6.7, 6.7, 6.2, 6,
    6, 5.7, 5.3, 5.5, 5.8, 6.9, 6.5, 6, 6, 6.9, 6, 6, 5.8, 4.6, 4.3, 4.1,
    3.8, 3.3, 3.4, 3.8, 4, 3.4, 3.2, 2.4, 1.4, 2.1, 2.5, 2.7, 3, 2.8, 3.3,
    3.8, 3.5, 3.7, 3.7, 3.7, 4, 4.1, 4.8, 5.1, 5.3, 5.5, 5.8, 5.3, 5, 4.1,
    3.8, 3.7, 4, 4.6, 5.7, 5.7, 6, 6.9, 7.3, 7.3, 7.8, 7.8, 6.9, 6.5, 6.9,
    6.3, 5.5, 5.1, 5.5, 5.8, 5.7, 5.5, 6.2, 5.8, 5.8, 6, 5, 5.1, 5.8, 5.3,
    4.8, 5.5, 5.5, 5, 4.5, 4.8, 5, 5.3, 5.5, 5.7, 5.5, 5, 4.6, 4.3, 5, 5.5,
    5.8, 5, 5.5, 5.3, 5.8, 6.7, 6.7, 6.5, 5.8, 5.7, 5.1, 5.3, 6, 6.5, 6.3,
    6.2, 5.7, 5.7, 4.5, 4.3, 5.1, 4.3, 4.8, 4.8, 4.3, 5.3, 6.2, 6.3, 5.8,
    6.3, 7.3, 6.7, 6.9, 6.7, 7.5, 7.8, 8, 8.7, 8.7, 9.7, 8.2, 7.5, 7.5, 8.2,
    8, 8.4, 8.4, 8.7, 9.4, 9.4, 11, 11.3, 10.2, 10.2, 9.7, 9.4, 10.7, 10.2,
    11.3, 11.3, 11, 11.9, 11.6, 11, 11, 10.2, 9.1, 8.4, 8.7, 8, 8.4, 9.7,
    8.7, 8.7, 8.4, 8.7, 10.2, 10.7, 11.3, 11.9, 11.6, 10.2, 8.7, 9.1, 8.4,
    7.8, 7.1, 7.5, 8.2, 8.4, 9.1, 10.2, 10.2, 10.2, 11, 11.9, 12.4, 11.9,
    12.7, 15.5, 14.8, 14.1, 13, 13.5, 12.7, 12.7, 13, 14.1, 13, 15.5, 14.8,
    17.1, 14.1, 17.1, 13.5, 13.5, 13.5, 11, 10.7, 9.1, 9.4, 8.7, 8, 7.8, 7.5,
    7.5, 8.4, 8.4, 10.2, 11.6, 10.2, 10.7, 9.4, 9.4, 9.1, 9.7, 8.2, 6.7, 7.3,
    6.9, 7.1, 6.7, 6.2, 6.5, 6.3, 6.9, 5.8, 6.2, 6.2, 6, 5.3, 5.1, 4.1, 3.4,
    3, 3, 2.4, 2.7, 2.7, 2.1, 1.9, 0.9, 0.6, 1.2, 1.9, 1.9, 2.4, 2.4, 2.1,
    1.4, 0.9, 0.9, 1.2, 1.4, 1.9, 1.9, 1.7, 1.5, 1.7, 2.1, 2.3, 2.7, 2.4,
    2.7, 1.9, 1.9, 1.4, 1.7, 1.9, 2.4, 2.4, 1.9, 2.3, 1.4, 1.7, 1.1, 1.4,
    1.2, 1.1, 1.7, 1.7, 1.9, 1.4, 1.5, 1.5, 1.4, 1.5, 0.9, 1.1, 2.1, 2.3,
    1.2, 0.9, 1.4, 1.4, 1.2, 1.7, 2.1, 2.1, 3, 2.5, 3, 3, 2.8, 3.5, 3.8, 3.7,
    3.7, 3.5, 3.2, 3.5, 3.7, 4.1, 4, 4.8, 5.1, 5.7, 6, 6.2, 6.2, 6.7, 6.7,
    6.7, 7.3, 8, 8, 7.8, 7.8, 9.1, 10.2, 9.1, 9.1, 8.7, 10.2, 9.4, 10.7, 9.1,
    9.7, 10.2, 11.3, 12.5, 11.9, 11.9, 12.4, 11.9, 10.2, 9.1, 9.7, 8.7, 9.7,
    9.4, 8.4, 8, 8.2, 9.7, 9.1, 7.8, 8.2, 7.5, 8, 8.4, 8.4, 9.1, 8.7, 8, 7.8,
    8.4, 8.7, 8.4, 8.2, 7.8, 6.7, 7.1, 7.1, 6.7, 6.7, 7.5, 7.3, 7.1, 6.9,
    6.9, 7.8, 8.7, 10.2, 10.2, 9.1, 9.4, 8.4, 7.3, 7.5, 7.1, 7.5, 7.1, 6.7,
    5.8, 5.3, 6, 5.8, 5.3, 5.3, 5.7, 5.8, 6.9, 6, 6.7, 7.1, 6.5, 7.5, 7.3,
    7.5, 6.7, 6.9, 6.5, 6.2, 6.3, 6.7, 6.5, 6.3, 6.2, 5.3, 4.3, 4.6, 4.3,
    4.8, 5.3, 5.7, 6.2, 6, 5.1, 5.1, 4.8, 5.7, 3.7, 5.7, 5.1, 4.8, 6.1, 5.9,
    5.4, 5.9, 4.3, 4, 4.6, 4.3, 4.3, 5.7, 5.7, 5.7, 6.3, 7, 6.3, 6.3, 6.7,
    6.3, 6.1, 4.8, 3.7, 3.2, 5.1, 4.8, 5.1, 5.1, 6.1, 7.1, 6.7, 7, 7, 7.1,
    7.1, 6.7, 7.4, 7, 6.1, 6.3, 6.7, 5.7, 5.1, 4.6, 3.2, 3.4, 3, 1.7, 1.4,
    0.9, 1.7, 1.7, 1.7, 2.3, 2.8, 2.3, 1.7, 1.4, 1.4, 1.1, 2, 2.6, 2, 2, 0.8,
    1.1, 1.4, 0.5, 1.4, 1.7, 2.3, 2, 2.3, 3, 2.6, 2.3, 3, 2.8, 2.3, 2, 4,
    3.4, 3.5, 3.4, 2.8, 3.2, 3.4, 2.3, 0.9, 1.4, 2.3, 2, 1.4, 1.4, 1.4, 3.2,
    3.7, 3.5, 3.7, 4.3, 3.7, 3.2, 3, 3, 3.2, 3.5, 4, 4.8, 4, 3.5, 3.7, 3.7,
    4, 4, 4, 4.3, 3.5, 4, 4.3, 4.8, 4.8, 4.3, 3.4, 3, 3, 2.3, 1.7, 1.7, 2.3,
    2.6, 2.3, 3.2, 3.7, 3.7, 3.5, 2.6, 3.7, 3.5, 3, 2.3, 2.8, 2.6, 2, 2.6,
    2.6, 2, 2.8, 2.6, 3.2, 3.5, 3.5, 2.6, 2.3, 2, 3.2, 2.8, 3, 2, 2.3, 1.7,
    0.9, 1.4, 0.4, 0.5, 0.4, 0.7, 0.7, 1.4, 1.7, 2.3, 3.2, 2, 2.8, 2.3, 1.1,
    0.9, 0.5, 0.4, 0.2, 0.2, 0.5, 0.9, 0.7, 2, 1.7, 1.7, 2.6, 3, 2.8, 2.3, 2,
    2.6, 2.6, 2.3, 2, 2.3, 2.6, 4, 4.3, 4.3, 4.8, 5.4, 4.3, 4, 4.3, 4.6, 3.2,
    3, 2.6, 1.4, 1.4, 0.8, 1.1, 1.7, 1.4, 0.8, 0.9, 2, 2, 2, 2.3, 1.7, 2.3,
    2.3, 2, 0.9, 0.8, 1.1, 2.3, 0.9, 1.4, 1.7, 1.1, 1.4, 2, 3.5, 3.5, 2.6, 3,
    1.1, 2, 2, 2.8, 2.8, 2.8, 3.2, 3.2, 3.7, 4, 4.6, 4.3, 4.6, 4.8, 4, 5.1,
    5.7, 5.7, 6.5, 6.5, 6.5, 6.7, 6.7, 6.3, 5.1, 4, 4.6, 4.3, 4.8, 5.4, 6.1,
    6.3, 6.1, 5.9, 5.7, 6.1, 6.3, 6.3, 6.7, 6.1, 5.9, 5.1, 4.3, 6.3, 5.7,
    5.7, 5.4, 5.7, 5.4, 5.7, 6.1, 6.5, 7, 7.6, 7.4, 7.1, 7.1, 7, 7.3, 7.3,
    7.2, 7.2, 7.4, 7.1, 7, 6.7, 5.9, 5.4, 4.3, 4.8, 3.7, 3.5, 3.5, 4.3, 4.3,
    4.8, 5.1, 5.1, 5.4, 5.4, 4.8, 4.6, 4.6, 4, 4.6, 5.4, 5.7, 6.7, 5.9, 6.7,
    7.2, 7.4, 7.6, 7.6, 8.6, 9, 8.3, 8.6, 8, 7.8, 8.1, 8.6, 10.1, 10.9, 12.8,
    11.2, 10.9, 10.1, 11.2, 14.1, 12.8, 11.8, 11.8, 14.1, 14.1, 11.2, 10.6,
    10.6, 10.1, 10.1, 10.1, 9.7, 8.6, 8.1, 8.3, 8.6, 8.3, 8, 7.8, 7.4, 6.7,
    7.6, 7.6, 7.8, 8, 8.3, 8.6, 8.3, 8.1, 8.3, 9.4, 9, 9.4, 9.4, 9, 10.1, 9,
    9, 9, 8.3, 8.3, 7.7, 8.1, 9, 9.4, 9.7, 9, 9, 8.6, 8.1, 9, 10.1, 11.8,
    11.8, 12.3, 10.9, 10.6, 9.7, 8.6, 8.6, 9, 9.8, 10.1, 9.7, 9, 8.6, 9.4,
    8.3, 8, 8.1, 7.8, 7.8, 7.8, 7.6, 7.7, 7.6, 7.6, 6.7, 6.5, 6.5, 6.7, 6.5,
    6.3, 7, 6.7, 7.6, 7.6, 7.8, 7.2, 7, 7.3, 7.1, 6.5, 6.5, 5.7, 4.8, 5.1, 4,
    4.3, 5.1, 5.9, 4.3, 4.6, 3.5, 3.7, 3.4, 3.5, 3.4, 3.2, 3.5, 4, 3.4, 3, 3,
    3.5, 4, 4, 4.3, 4.3, 4.6, 4, 4.8, 5.4, 5.9, 5.7, 4.8, 4.3, 4.6, 4.6, 4.8,
    5.1, 5.1, 5.9, 6.1, 5.7, 5.9, 5.4, 5.1, 6.5, 5.9, 6.7, 6.7, 6.3, 6.3,
    5.7, 5.4, 4.8, 5.4, 5.1, 4.8, 4.6, 4.6, 4.6, 4, 3, 3, 1.4, 2, 2.3, 2,
    2.3, 2.6, 3.7, 3.5, 2.8, 2.6, 2.3, 2.3, 3.5, 4.3, 5.1, 5.4, 4, 4, 4, 3.7,
    4.3, 3.2, 4, 5.4, 5.9, 5.9, 5.7, 5.9, 7.2, 6.5, 5.9, 6.1, 5.1, 5.1, 5.7,
    5.4, 5.4, 5.4, 4, 3.7, 4.6, 3.7, 3, 3.4, 3, 2.3, 2.3, 1.4, 2, 2.6, 3.4,
    5.1, 4, 4, 4.3, 4, 4.3, 4.3, 4.8, 5.1, 4.6, 4.3, 4, 5.1, 5.1, 5.4, 4,
    3.7, 3.2, 3.5, 4.6, 5.9, 5.4, 5.1, 3.7, 4, 4.3, 4.6, 5.1, 5.4, 5.4, 5.7,
    5.4, 4.6, 4.6, 4.8, 3.5, 3.4, 4, 3.4, 2.6, 2.6, 2.3, 0.9, 2.6, 2.8, 2.6,
    1.4, 1.4, 0.5, 0.2, 0.1, 0.4, 0.7, 0.4, 0.8, 0.9, 1.7, 1.4, 1.7, 3, 2.8,
    2, 2.8, 1.7, 1.4, 0.9, 0.9, 2, 1.1, 2.6, 1.7, 2.3, 1.4, 0.9, 0.9, 1.1,
    1.7, 1.4, 2, 2, 1.7, 2.8, 3, 2.8, 3.4, 3.2, 3.5, 4.3, 3.7, 4, 4.8, 5.4,
    5.4, 5.1, 4.6, 5.7, 5.9, 5.7, 5.1, 3.7, 3, 2.3, 2.3, 2, 1.1, 2, 1.4, 1.7,
    2, 2.6, 2.6, 3.2, 3.2, 4.7, 3.7, 2.9, 2.9, 2.9, 2.9, 2.5, 2.7, 3.7, 2.9,
    3.7, 3.7, 4.5, 5.4, 5.1, 3.3, 2.7, 2.5, 2.4, 2.1, 1.8, 1.8, 1.8, 1.8,
    1.4, 2.3, 2.2, 2.4, 3.3, 3.5, 3.1, 5.1, 4.7, 3.7, 3.3, 3.5, 3.7, 3.5,
    3.5, 5.1, 6.6, 6, 4.7, 4.2, 5.1, 4.5, 4, 4.7, 4.5, 5.4, 5.4, 4.7, 4.5,
    5.1, 5.4, 6.2, 6.2, 5.4, 4.5, 3.7, 4.5, 4.2, 4.2, 5.1, 4.7, 4.5, 4.5,
    5.4, 5.7, 5.7, 6.2, 5.7, 7.1, 6.2, 5.4, 5.4, 6.2, 6, 6.2, 7.1, 8.2, 7.8,
    7.8, 6, 5.1, 5.1, 5.1, 4.7, 4.2, 3.5, 3.3, 2.4, 2.7, 3.3, 4, 3.7, 2.9,
    2.7, 2.7, 3.3, 2.5, 2.3, 3.1, 2.5, 2.4, 2.1, 2.1, 1.9, 1.6, 1.3, 1.5,
    1.8, 1.9, 1.6, 1.6, 2.1, 2.5, 2.5, 3.3, 5.1, 3.3, 2.7, 2.9, 2.5, 2.5,
    2.3, 2.9, 3.1, 2.9, 2.5, 3.7, 4.7, 6, 6.6, 8.2, 8.2, 6.2, 5.7, 5.1, 4,
    4.7, 4.2, 5.1, 4.5, 4.7, 4.7, 6.2, 4.2, 5.4, 5.4, 3.1, 2.5, 2.4, 2.9,
    4.5, 5.1, 4.7, 4.5, 4.5, 4, 5.4, 5.7, 9.1, 8.6, 9.1, 7.5, 7.5, 7.1, 8.6,
    7.8, 7.5, 6.6, 5.7, 4, 4, 3.5, 4, 3.1, 3.1, 3.1, 4.5, 3.7, 4, 4, 3.7, 6,
    5.4, 5.7, 7.8, 6.6, 8.6, 9.5, 8.6, 8.6, 8.6, 7.5, 7.8, 6.2, 5.1, 5.1,
    5.4, 4, 3.1, 4.7, 5.4, 4.7, 5.1, 5.1, 5.7, 6.6, 5.4, 5.4, 6.6, 7.8, 6.6,
    7.1, 6.6, 6.2, 6.2, 5.1, 5.1, 5.7, 6.6, 4.5, 3.7, 3.5, 4, 4, 4, 5.4, 6,
    8.2, 7.1, 7.1, 6.2, 6.6, 5.4, 4.7, 4.2, 3.3, 2.7, 2.9, 2.9, 2.5, 2.1,
    2.1, 2.1, 2.4, 1.9, 1.8, 1.4, 1.6, 1.4, 1.3, 1.3, 1.3, 1, 1.2, 0.7, 0.7,
    0.5, 0.5, 0.8, 0.8, 0.8, 0.7, 0.5, 0.8, 0.5, 0.7, 0.7, 0.3, 0.3, 0.2,
    0.3, 0.5, 0.2, 0.8, 1.1, 0.9, 1.2, 1.3, 1.2, 0.8, 1.1, 1.1, 1.4, 1.4,
    1.1, 0.7, 1.2, 1, 1, 0.9, 1.1, 1.1, 1.4, 1.3, 1.1, 1, 1.3, 1.4, 1.5, 1.5,
    1.6, 1.6, 2.2, 2.9, 2.9, 4, 3.5, 4, 2.9, 3.5, 4.5, 3.3, 2.3, 2.1, 1.9,
    2.1, 3.5, 3.7, 4.5, 4.5, 3.7, 4, 2.9, 2.7, 3.1, 3.5, 2.9, 3.5, 3.7, 4.7,
    4, 4.7, 4, 4.2, 5.7, 6.6, 5.1, 5.1, 4, 3.7, 3.7, 5.1, 5.4, 4.7, 4.2, 6.6,
    6.2, 6.2, 6.6, 6.6, 6.6, 5.7, 7.1, 6.6, 5.4, 4.7, 7.1, 7.1, 8.2, 7.1,
    6.2, 6.6, 5.4, 6.2, 7.8, 7.8, 9.9, 9.1, 8.6, 8.6, 7.5, 7.1, 7.1, 6.2,
    7.1, 8.2, 6.6, 6, 7.1, 7.5, 6.2, 5.7, 5.4, 4.5, 4, 3.1, 2.9, 3.1, 3.5,
    3.7, 4.7, 3.7, 4.2, 4.7, 4, 4, 3.7, 4.2, 3.7, 3.3, 3.3, 3.5, 3.3, 3.7,
    3.7, 5.1, 6, 6.6, 6, 6, 5.4, 4.7, 4.7, 5.4, 3.5, 3.5, 3.7, 2.3, 2.1, 2.1,
    1.6, 1.4, 1.9, 1.9, 1.9, 2.1, 1.8, 1.5, 1.8, 2.3, 1.9, 2.3, 2.1, 1.6,
    1.5, 1.5, 2.3, 1.9, 1.4, 1.3, 1.5, 1.5, 2.1, 1.8, 2.1, 2.3, 3.5, 3.3,
    2.7, 4, 3.5, 2.7, 2.7, 3.5, 4, 4.2, 4.7, 3.7, 2.9, 4.2, 5.4, 4, 4.2, 4,
    2.9, 2.7, 1.9, 2.1, 1.6, 1.8, 2.4, 2.4, 2.2, 2.4, 3.1, 3.1, 2.7, 2.5,
    3.3, 3.1, 2.5, 3.1, 2.7, 2.5, 2.7, 2.7, 2.3, 1.9, 2.1, 2.5, 3.5, 3.3,
    3.7, 4.5, 6.2, 7.1, 9.1, 9.5, 9.5, 9.9, 8.6, 8.2, 8.2, 7.8, 6.6, 5.7,
    5.4, 6.6, 6.2, 6.6, 7.1, 7.1, 5.7, 5.1, 5.1, 4.5, 6, 5.7, 6, 6, 5.1, 4.5,
    4.2, 3.7, 3.7, 4.7, 4.7, 5.4, 5.7, 5.1, 5.7, 4.7, 5.7, 5.1, 5.4, 7.8,
    7.1, 7.1, 7.5, 7.8, 8.6, 7.5, 7.8, 6.6, 6.6, 5.4, 5.1, 4.2, 3.1, 2.9,
    3.1, 2.3, 1.9, 2.4, 2.7, 3.1, 3.3, 4, 5.1, 4.5, 4.5, 4.7, 6, 6.2, 8.6,
    7.5, 5.7, 5.1, 4.2, 3.7, 3.5, 3.3, 3.5, 4.5, 6.2, 6.2, 4.5, 4, 4, 4.5,
    5.1, 5.1, 6.2, 5.4, 6, 6.2, 5.4, 7.1, 7.5, 6.6, 4.7, 3.7, 3.3, 3.7, 3.5,
    2.7, 4.2, 4.2, 4.2, 4.5, 5.7, 6.2, 6.6, 6.6, 7.1, 8.6, 7.8, 8.6, 9.1,
    9.1, 9.9, 8.6, 9.1, 9.5, 7.5, 8.2, 9.1, 9.9, 8.2, 8.2, 7.1, 6, 6.6, 6.6,
    7.5, 7.5, 7.8, 6.6, 6, 5.4, 6, 5.4, 5.4, 5.1, 5.7, 4.5, 4.2, 4.5, 5.4,
    6.6, 5.7, 7.1, 7.1, 9.5, 8.6, 9.5, 11.5, 9.9, 10.4, 11.1, 9.5, 9.9, 9.1,
    10.4, 9.9, 11.1, 14.9, 12.2, 13.3, 13.3, 12.2, 12.2, 14.9, 16.6, 12.2,
    11.5, 11.5, 10.7, 13.3, 11.5, 11.1, 12.2, 13.3, 10.7, 9.1, 8.6, 9.9, 8.6,
    10.4, 8.6, 7.1, 9.1, 7.8, 7.8, 8.6, 7.5, 7.8, 9.5, 9.5, 9.5, 8.2, 9.1,
    10.4, 10.4, 10.7, 12.2, 13.3, 11.1, 10.4, 9.5, 10.4, 9.1, 6.6, 8.6, 7.1,
    6.2, 7.8, 10.7, 11.1, 11.5, 10.4, 9.9, 11.1, 13.3, 12.2, 11.1, 9.9, 8.6,
    8.2, 7.8, 6.2, 7.1, 8.2, 7.1, 7.5, 8.2, 7.1, 7.8, 7.1, 9.5, 8.6, 9.9,
    8.6, 9.1, 8.6, 7.8, 6.6, 6.2, 6.6, 7.1, 4.9, 4.6, 6.7, 5.8, 4.1, 4.4,
    4.1, 4.4, 3.6, 4.4, 5.3, 7, 9.1, 9.6, 8.7, 7.4, 7.8, 8.3, 7, 4.6, 5.6,
    4.9, 5.3, 5.6, 4.9, 5.3, 7, 6.3, 5.3, 5.8, 7.4, 8.7, 9.1, 10.7, 9.1, 7.8,
    9.1, 8.7, 9.6, 9.1, 7.4, 10, 9.6, 7.8, 9.1, 8.7, 7.8, 7, 7.4, 6.1, 8.3,
    6.1, 4.6, 4.9, 5.8, 4.6, 5.8, 5.3, 5.8, 5.6, 4.9, 4.6, 5.3, 5.3, 4.4,
    4.1, 2.6, 2.3, 1.1, 1.8, 1.4, 1.4, 1.1, 0.6, 1.4, 1.6, 0.9, 0.9, 0.4,
    1.1, 1.6, 1.4, 1.1, 1.1, 1.9, 1.1, 1.2, 0.9, 1.4, 1.1, 0.6, 0.6, 0.6,
    1.9, 1.6, 1.9, 2.4, 2.2, 2.7, 2.6, 2.2, 2.2, 2.7, 2.7, 2.3, 1.6, 1.4,
    1.9, 1.2, 0.9, 0.8, 0.9, 2.2, 1.9, 1.9, 2.2, 2.4, 2.6, 2.4, 2.2, 2.1,
    1.6, 1.8, 2.1, 1.2, 1.4, 1.4, 1.2, 1.2, 1.4, 1.6, 1.9, 2.1, 2.3, 2.4,
    2.3, 1.9, 1.2, 1.1, 0.9, 1.6, 2.2, 2.1, 2.3, 2.6, 2.4, 1.9, 2.1, 1.8,
    1.9, 2.4, 3, 2.7, 2.9, 2.7, 2.4, 2.9, 2.9, 3.8, 4.1, 4.9, 4.1, 4.4, 4.6,
    4.6, 4.9, 4.9, 4.9, 4.4, 3.8, 3.6, 3.8, 3.5, 4.4, 4.6, 4.6, 4.9, 4.9,
    4.9, 6.3, 6.3, 7, 7.8, 6.7, 6.3, 5.8, 5.3, 3.2, 3, 3.2, 3.2, 4.1, 4.1,
    2.9, 2.6, 3.8, 3.5, 3.6, 3.8, 4.9, 4.6, 5.8, 5.8, 6.3, 6.1, 7, 7, 6.7,
    6.7, 7.4, 6.7, 4.9, 6.1, 5.6, 4.6, 5.3, 4.9, 5.3, 4.9, 4.6, 4.9, 4.9,
    5.3, 4.1, 4.1, 3.6, 5.3, 4.9, 5.8, 7, 6.1, 5.6, 6.1, 6.3, 9.1, 8.7, 6.7,
    7.8, 7.8, 7.4, 5.8, 5.3, 4.1, 5.3, 4.1, 4.4, 4.1, 3.6, 3.6, 2.9, 3.6,
    4.1, 4.4, 3.5, 3, 2.7, 2.4, 2.6, 2.3, 2.4, 2.4, 2.4, 2.3, 2.1, 2.1, 2.1,
    3, 3.6, 3, 3, 3.8, 3.5, 4.4, 5.6, 6.1, 6.3, 7, 7.4, 7.8, 8.3, 6.7, 6.7,
    5.6, 4.9, 4.6, 3.8, 4.1, 3.6, 3.6, 3.5, 3.2, 3.8, 3, 3, 3, 2.7, 3, 2.7,
    2.9, 2.9, 2.6, 2.7, 3.8, 3.2, 3.2, 2.9, 2.4, 2.6, 3, 3.8, 4.9, 7, 7.4,
    8.3, 9.6, 7.8, 7.8, 10, 7.8, 10, 10, 10, 9.6, 8.3, 9.6, 9.1, 8.7, 7, 7.8,
    8.7, 8.3, 10, 10.2, 7.8, 8.3, 9.1, 9.1, 9.6, 10.5, 10.2, 12.3, 11.6,
    10.7, 10.9, 11.1, 11.6, 13, 13, 12.3, 11.1, 11.6, 14.2, 15.5, 13, 11.6,
    12, 11.1, 10.5, 10.7, 10.4, 8.3, 7, 7.8, 7, 7.4, 7.8, 7.8, 9.1, 8.7, 10,
    8.7, 5.3, 4.1, 4.6, 5.6, 5.3, 4.9, 5.3, 5.3, 4.6, 4.9, 6.3, 5.3, 4.9,
    4.6, 4.1, 4.9, 4.4, 4.4, 4.1, 3.2, 2.7, 2.7, 2.2, 2.2, 1.9, 1.9, 2.2,
    1.9, 1.9, 1.8, 1.9, 1.6, 2.2, 2.2, 2.4, 1.4, 0.8, 0.9, 1.4, 0.8, 1.1,
    1.6, 1.4, 0.8, 0.5, 1.4, 1.6, 1.8, 2.1, 2.3, 2.2, 1.8, 1.6, 1.2, 1.4,
    1.4, 0.6, 0.9, 0.9, 0.6, 0.6, 0.2, 0.1, 0.1, 0.4, 0.4, 1.2, 0.8, 0.9,
    1.8, 1.8, 1.6, 1.9, 1.9, 2.7, 2.7, 2.4, 2.7, 2.7, 2.6, 1.9, 1.6, 1.4,
    1.1, 1.4, 1.2, 0.6, 1.1, 0.2, 0.4, 0.8, 0.5, 0.6, 1.1, 1.1, 1.4, 2.2,
    2.6, 2.4, 2.6, 2.7, 2.1, 1.6, 2.1, 1.9, 2.4, 2.7, 3, 3.5, 3.8, 3.2, 3.8,
    3.2, 3.5, 3.8, 4.1, 3.8, 3, 3.5, 4.1, 3.2, 2.7, 2.6, 2.9, 3.2, 3.6, 4.4,
    4.6, 4.6, 4.1, 4.1, 3.8, 3.8, 3.2, 2.9, 3.5, 4.1, 4.1, 3.8, 3.5, 4.1,
    3.2, 3, 3.5, 3.6, 3.2, 3.2, 3, 3.5, 3.2, 2.9, 3, 3.2, 3.5, 3, 2.9, 2.2,
    1.9, 1.6, 1.4, 2.3, 2.7, 3.2, 4.1, 5.6, 6.1, 6.7, 6.7, 6.3, 6.3, 5.8,
    7.4, 6.1, 6.1, 5.8, 6.3, 6.3, 7.4, 8.3, 7.8, 6.3, 5.6, 5.6, 6.7, 5.8,
    4.1, 3.6, 4.4, 3.5, 4.6, 3.5, 4.1, 4.6, 5.6, 6.3, 7, 6.7, 6.7, 7, 6.1,
    4.6, 4.1, 4.4, 4.9, 5.8, 5.8, 4.6, 4.6, 4.1, 4.1, 3.8, 4.9, 5.3, 4.9,
    4.4, 4.9, 4.6, 4.4, 4.6, 3.2, 2.9, 2.9, 3, 4.1, 3.6, 3.2, 3.5, 2.7, 3.2,
    5.3, 5.3, 4.9, 5.3, 5.6, 4.9, 5.6, 6.1, 6.1, 6.1, 6.7, 6.3, 6.3, 6.1,
    5.8, 6.3, 7.4, 7.4, 7, 7.4, 7.8, 7.8, 8.7, 7.8, 7.8, 6.7, 6.1, 6.7, 5.3,
    4.6, 6.3, 5.8, 7, 8.3, 7.8, 7.4, 6.7, 6.3, 7.4, 8.3, 8.7, 8.3, 9.1, 7.4,
    7, 6.3, 7, 6.3, 5.8, 5.3, 5.8, 5.8, 4.9, 3, 3.2, 3.5, 5.3, 5.8, 5.3, 5.8,
    7, 7.4, 6.3, 7.4, 6.7, 6.7, 7, 7.8, 8.3, 7.8, 5.6, 5.3, 5.3, 5.6, 6.7,
    6.3, 4.9, 3.6, 3.8, 4.4, 3.8, 3.8, 3.5, 4.1, 4.4, 3.5, 3.2, 3.8, 4.1,
    3.8, 3.8, 3.5, 3, 3, 2.9, 3.5, 4.6, 5.3, 5.3, 5.6, 3.6, 3.2, 3.5, 3.8,
    4.4, 4.9, 4.9, 5.3, 5.3, 4.9, 4.6, 4.1, 4.4, 3.8, 4.1, 3.6, 3.5, 2.9,
    3.2, 3.8, 4.8, 3.8, 3.4, 2.8, 2.1, 2.3, 3, 2.8, 3.8, 4.8, 6.2, 6.3, 5.9,
    6.1, 6.7, 6.2, 6.5, 5.7, 5.3, 4.3, 3.6, 4.3, 4.3, 4.6, 4.6, 5.1, 5.3,
    4.6, 3.2, 3.2, 3.4, 4.6, 5.5, 5.3, 5.1, 5.5, 4.8, 4.1, 3.2, 3.2, 3, 3.2,
    2.3, 1.5, 1.5, 1.8, 1.3, 1.8, 1.8, 1.9, 2.5, 2.3, 1.9, 1.7, 1.2, 1, 1,
    0.9, 1.3, 1.7, 1.7, 1.8, 1.9, 1.1, 1.1, 1, 0.8, 0.5, 0.5, 0.5, 0.6, 0.7,
    1.1, 1.1, 1.1, 1.2, 1.1, 1.3, 1.3, 1.3, 1.5, 2.5, 2.7, 1.9, 2.1, 2.7,
    2.5, 2.3, 2.3, 2.3, 2.7, 2.1, 1.7, 1.2, 1.2, 1.1, 1, 0.8, 0.9, 0.5, 0.6,
    0.3, 0.4, 0.2, 0.3, 0.1, 0.2, 0.3, 0.6, 0.1, 0.4, 0.5, 0.8, 0.8, 0.5,
    0.3, 0.4, 0.3, 0.8, 1, 1.1, 0.6, 0.7, 0.6, 0.7, 0.8, 0.5, 0.5, 0.9, 1, 1,
    1.1, 1.2, 1.8, 2.3, 1.7, 1.3, 1.7, 2.5, 3, 1.5, 1.5, 1.1, 1.4, 1.9, 2.3,
    2.1, 2.1, 1.9, 1.5, 2.3, 1.7, 1.9, 2.1, 2.5, 2.8, 2.5, 2.8, 2.3, 2.5,
    2.5, 2.3, 2.8, 2.5, 2.7, 2.7, 2.1, 1.7, 1.7, 2.3, 3.4, 2.7, 2.5, 2.5,
    2.7, 3.2, 3.8, 4.1, 3.4, 2.8, 3.2, 3.4, 3, 2.8, 3, 3.6, 4.1, 3.8, 3.8,
    4.3, 4.1, 3.8, 5.5, 4.8, 3.6, 3.6, 4.1, 3.4, 3.8, 3.2, 3.2, 3.2, 3.4,
    3.4, 3.6, 3.8, 3.8, 5.1, 5.5, 5.1, 4.6, 4.1, 4.1, 4.1, 3.6, 2.8, 3, 3,
    4.3, 4.1, 3, 2.7, 3, 3, 3.4, 3.6, 4.1, 3.6, 4.1, 3.4, 4.1, 4.1, 3.8, 3.6,
    3.2, 2.3, 2.3, 2.1, 2.5, 2.3, 1.5, 2.1, 1.5, 2.3, 2.8, 2.8, 3, 3, 3, 3.4,
    3.6, 3.8, 4.8, 5.1, 5.1, 4.8, 5.1, 4.1, 3.8, 4.3, 4.3, 4.3, 4.3, 3.8,
    3.2, 2.8, 2.8, 2.8, 2.5, 2.1, 2.5, 3.2, 2.8, 2.8, 1.8, 1.8, 1.8, 2.3,
    2.3, 2.7, 2.5, 3.4, 2.1, 2.8, 3.2, 3.2, 3.6, 4.3, 3.8, 3.4, 4.3, 5.3,
    5.9, 6.1, 5.7, 5.9, 5.3, 5.9, 5.5, 5.7, 5.1, 4.1, 4.6, 4.1, 3.8, 5.5,
    5.5, 5.9, 4.8, 4.8, 4.8, 4.8, 5.3, 5.3, 4.8, 4.6, 5.3, 5.5, 5.1, 4.1,
    3.4, 4.3, 4.3, 4.8, 5.7, 5.5, 5.7, 5.3, 5.5, 6.4, 6.5, 6.4, 6.7, 8.3, 8,
    8.6, 7.7, 7.3, 8.6, 7.4, 7.1, 7.1, 7.4, 9.3, 9.7, 10.5, 10.1, 9.7, 9.3,
    8.3, 8.9, 8.9, 8.6, 8, 8.6, 7.7, 7.4, 6.9, 7.1, 6.9, 7.1, 7.4, 8, 8, 7.4,
    8.3, 7.7, 8, 8.3, 10.5, 10.8, 11.5, 12.9, 12.9, 11.5, 12.9, 11.5, 12.9,
    10.9, 9.3, 9.7, 7.7, 8.3, 8.9, 11.1, 10.1, 10.5, 10.1, 9.3, 8.6, 8.9,
    9.3, 8.6, 8, 9.3, 9.3, 8, 8.3, 7.7, 7.4, 6.9, 6.9, 7.1, 7.1, 7.4, 6.4,
    6.3, 6.7, 5.5, 5.5, 5.1, 5.1, 4.6, 4.3, 4.3, 4.3, 5.9, 6.2, 6.5, 7.3,
    7.1, 8, 7.4, 6.9, 6.7, 6.5, 6.2, 5.7, 5.5, 6.3, 6.2, 6.2, 6.1, 5.1, 5.5,
    4.6, 4.6, 4.8, 4.8, 5.5, 4.8, 5.5, 5.3, 4.6, 4.8, 5.1, 5.5, 6.2, 6.1,
    6.1, 4.3, 3.6, 3.6, 3.6, 3.6, 3.2, 2.7, 2.3, 2.3, 1.8, 1.5, 2.1, 1.3,
    1.3, 1.8, 2.1, 1.8, 2.8, 2.5, 2.8, 2.5, 2.1, 2.7, 2.3, 2.5, 3, 2.1, 1.8,
    1.7, 1.5, 1.7, 1.9, 1.9, 2.7, 2.1, 2.8, 2.7, 2.5, 2.7, 3.2, 2.5, 2.7,
    2.5, 3.6, 4.1, 4.6, 3.6, 3.2, 2.3, 1.9, 2.1, 2.3, 2.3, 2.8, 3, 3.2, 4.3,
    3.6, 3.6, 3.6, 4.1, 4.1, 5.1, 5.1, 6.1, 6.5, 6.7, 6.3, 6.5, 6.1, 6.1,
    5.9, 6.1, 5.3, 4.6, 3.6, 3.8, 4.1, 4.1, 4.1, 5.5, 5.9, 5.7, 5.9, 5.7,
    5.9, 6.5, 6.7, 6.9, 7.1, 6.9, 7.1, 6.5, 6.9, 6.7, 7.7, 7.1, 7.1, 7.3,
    7.1, 6.7, 6.3, 6.4, 7.7, 10.1, 8.9, 9.3, 9.7, 9.7, 8, 8.6, 8.6, 8.3, 8.3,
    7.1, 8, 7.7, 7.7, 7.4, 8, 7.4, 6.7, 6.5, 5.9, 5.5, 5.3, 5.5, 4.3, 4.8,
    4.6, 3.2, 3.6, 3.6, 3.2, 4.8, 4.8, 4.6, 4.3, 4.3, 5.7, 5.9, 6.3, 6.1,
    5.9, 5.7, 4.3, 3.6, 3, 3.2, 3.4, 4.1, 3.8, 4.6, 3.4, 2.8, 2.7, 2.7, 2.8,
    3, 3.8, 4.1, 4.3, 4.8, 5.5, 4.8, 5.5, 5.9, 5.7, 5.1, 5.1, 4.6, 4.3, 3.6,
    4.8, 4.6, 4.1, 3.8, 3.8, 4.6, 4.8, 4.8, 4.8, 4.6, 5.1, 4.8, 4.6, 5.5,
    5.7, 6.1, 5.7, 5.5, 4.1, 3.4, 3.6, 4.1, 4.1, 3.6, 3.2, 3.8, 3.2, 3, 2.7,
    2.7, 3.4, 4.3, 3.6, 3.6, 3.4, 4.1, 3.8, 3.2, 2.8, 3.2, 3, 3, 2.1, 1.3,
    1.1, 0.8, 0.6, 0.5, 0.8, 1.4, 1.1, 1, 1, 1.1, 1.1, 1.4, 1.2, 1.5, 1.5,
    1.7, 1.4, 1.7, 1.4, 1.7, 1.7, 2.5, 2.1, 1.9, 1.5, 1.7, 2.5, 1.9, 2.7,
    2.3, 1.9, 2.1, 2.1, 1.5, 1.5, 1.8, 1.7, 1.5, 1.2, 1.3, 1.3, 1.7, 1.8,
    1.9, 2.3, 1.9, 1.8, 1.1, 0.7, 0.7, 1.1, 1.2, 2.7, 2.5, 2.7, 3.4, 3.2,
    2.8, 3.8, 4.8, 4.8, 4.1, 4.3, 4.1, 3.2, 3.4, 3.2, 3.8, 4.3, 5.1, 5.1,
    5.3, 4.8, 5.1, 4.8, 5.7, 5.9, 6.7, 6.2, 7, 7.4, 7, 6.7, 7, 4.8, 4.8, 4.8,
    5.1, 4.1, 4.4, 5.1, 4.4, 4.1, 4.8, 4.8, 5.1, 7, 6.2, 5.8, 4.4, 3.2, 3.2,
    3.2, 3.8, 3.6, 4.1, 4.8, 5.5, 4.1, 3.2, 3.4, 3.4, 4.1, 3.6, 3, 3.6, 2.9,
    3.2, 2.9, 2.9, 3.8, 5.5, 5.1, 6.2, 5.8, 6.2, 6.7, 5.8, 5.1, 5.5, 6.2,
    5.5, 7.4, 5.8, 5.8, 6.7, 7.4, 6.7, 5.5, 4.4, 4.8, 4.8, 5.5, 7, 7.8, 8.1,
    7.8, 7.4, 6.2, 6.7, 5.1, 4.1, 4.1, 6.2, 7.4, 8.5, 7, 7.8, 6.2, 6.2, 6.2,
    7, 7.4, 8.5, 8.7, 8.7, 9.3, 9.8, 9.8, 9.1, 8.7, 8.3, 9, 8.7, 7, 7.8, 8.5,
    9, 9.3, 9.3, 9.6, 9.6, 9.8, 10.2, 10, 9.4, 8.7, 8.7, 7, 6.2, 7.4, 7.8,
    5.5, 5.8, 5.5, 5.5, 5.1, 6.7, 7, 5.5, 6.7, 5.8, 3.6, 3, 3.8, 3.6, 4.4,
    4.4, 4.4, 3.8, 4.1, 5.5, 5.5, 5.1, 5.5, 6.2, 5.5, 3.8, 4.4, 4.8, 4.8,
    3.8, 4.8, 3.6, 3.2, 3.2, 2.9, 3.2, 3.8, 4.4, 3.2, 3.6, 3.8, 4.1, 4.1,
    3.4, 4.1, 4.1, 4.8, 3.6, 3.2, 3.8, 4.1, 3.8, 4.4, 3.8, 3, 2.8, 2.7, 2.7,
    3, 3.8, 3.8, 3.4, 3, 3.4, 2.9, 3, 2.9, 2.6, 2.4, 2.4, 2.2, 1.9, 1.1, 0.6,
    0.8, 0.8, 1.5, 1.7, 1.9, 1.9, 1.7, 2.2, 2.4, 2.3, 2.3, 2.5, 2.5, 1.7,
    1.5, 2.2, 2.6, 2.4, 2.4, 2.5, 3, 2.9, 3, 3, 3.2, 4.4, 4.1, 3.6, 4.8, 4.4,
    4.8, 4.8, 4.1, 4.4, 5.8, 6.2, 8.1, 7.4, 6.2, 6.2, 7.8, 6.7, 5.1, 4.8,
    3.4, 4.1, 6.2, 5.8, 6.2, 7, 7, 4.8, 3.6, 4.1, 3.6, 2.9, 2.8, 2.4, 2.6,
    3.6, 3.6, 3.2, 3.4, 4.8, 4.8, 4.8, 3.8, 3, 3.2, 3.8, 4.4, 3.8, 4.8, 4.8,
    4.8, 4.1, 4.4, 4.4, 3, 3.2, 3.2, 3, 3, 4.1, 3.4, 2.8, 2.4, 2.4, 2.5, 2.4,
    2.3, 2.2, 2.2, 1.5, 0.8, 0.8, 0.6, 0.6, 0.5, 0.2, 0.4, 1.3, 1.5, 0.5,
    0.4, 0.1, 0.1, 0.3, 0.8, 1.7, 1.5, 1.3, 1.1, 2.2, 1.5, 1.3, 1, 1.1, 1.3,
    1.3, 1.7, 2, 2.4, 2.3, 1.7, 1.3, 1.1, 0.4, 0.6, 1.5, 1.7, 2.2, 2.4, 2.5,
    2.4, 2.6, 3.4, 3.4, 3.4, 3.6, 2.9, 2.8, 2.8, 3, 2.8, 2.7, 2.3, 2.9, 3,
    4.1, 4.8, 4.1, 3.6, 3.8, 4.1, 4.8, 3.6, 4.4, 3.8, 5.5, 6.2, 7.4, 7.8,
    8.3, 9.1, 9.1, 8.5, 7.4, 8.3, 7.8, 7.8, 6.7, 5.1, 4.4, 3.4, 3.2, 3.4,
    3.4, 4.4, 5.1, 5.1, 5.8, 6.7, 6.7, 6.2, 5.5, 6.2, 5.1, 4.4, 3.2, 3.4,
    2.8, 2.8, 2.7, 2.8, 2.6, 1.5, 1.5, 2.2, 1.5, 1.3, 1.3, 1.1, 1.3, 1.5,
    2.2, 2.6, 2.4, 2.3, 2.4, 2.5, 2.5, 2.7, 2.7, 2.5, 2.8, 2.9, 3.6, 3.6,
    4.1, 3.6, 3.6, 2.9, 3.2, 3.2, 3.6, 3.4, 3.8, 4.1, 4.1, 5.1, 4.4, 4.8,
    6.2, 7.4, 6.7, 6.2, 5.8, 5.8, 5.5, 7, 5.8, 7, 7.4, 7, 8.3, 7.8, 6.2, 6.2,
    5.8, 6.2, 5.5, 5.1, 5.1, 6.2, 5.5, 3.8, 4.1, 5.1, 5.5, 7, 6.2, 5.5, 5.1,
    4.8, 5.5, 4.8, 4.4, 4.1, 3.6, 3.8, 4.4, 3.6, 3.6, 3.4, 3.8, 3, 4.1, 5.5,
    4.8, 5.5, 4.8, 5.5, 3.8, 3.4, 3.2, 4.1, 4.8, 5.5, 6.7, 7.4, 7, 6.7, 6.2,
    4.4, 3.6, 4.1, 3.2, 3.8, 4.8, 5.5, 5.5, 4.8, 4.4, 4.1, 2.9, 3.4, 3.4,
    2.9, 2.7, 2.9, 4.1, 3.6, 2.7, 3, 2.4, 2.6, 3.8, 3.6, 3.8, 3.6, 3.6, 5.5,
    4.8, 3.6, 3.6, 4.1, 5.1, 5.1, 4.1, 4.8, 4.4, 4.1, 3.8, 2.6, 2.5, 2.3,
    2.8, 2.8, 2.2, 1.1, 1, 1.1, 0.5, 0.8, 1.7, 1.3, 1.3, 1, 0.7, 0.5, 0.6,
    0.8, 1, 1.1, 1.3, 1.1, 1.3, 1, 1.1, 1.1, 0.6, 0.7, 0.8, 1.7, 2, 2, 1.3,
    1.5, 2, 1.9, 2, 2.2, 2, 1.5, 2.3, 2.2, 2.6, 2.4, 2.2, 1.9, 1.3, 0.6, 1,
    0.8, 1.1, 0.8, 1.5, 1.9, 2, 1.9, 1.7, 1.5, 1.9, 1.9, 2.2, 2, 1.9, 1.7,
    1.7, 1, 1.9, 1.9, 2.3, 2, 1.7, 0.7, 0.8, 1, 1, 0.5, 0.7, 1.1, 1.3, 1.7,
    2, 1.3, 1.5, 1.1, 1.3, 1.5, 1.3, 1.5, 2, 2.2, 2, 2, 2.2, 1.7, 0.8, 0.7,
    1.5, 2, 2.2, 1.7, 1.3, 0.7, 1.1, 1.5, 1.1, 0.4, 0.3, 0.2, 0.4, 1, 2, 2.2,
    2.4, 2, 1.5, 1.9, 2, 2.5, 2.2, 1.5, 0.7, 1.7, 1.7, 1.7, 1.7, 1.5, 2.2,
    1.9, 1.9, 1.7, 2.2, 2.6, 2.9, 4.1, 3.8, 3.6, 3.2, 3, 3.6, 5.8, 5.8, 5.8,
    6.2, 7.4, 7, 6.2, 5.1, 4.8, 5.5, 7.4, 5.5, 5.8, 5.8, 5.5, 5.1, 4.4, 4.4,
    5.8, 7.4, 8.1, 7.8, 5.5, 5.1, 4.8, 4.4, 6.7, 5.8, 4.4, 5.1, 5.8, 4.4,
    5.1, 6.7, 6.7, 6.7, 8.5, 8.1, 8.5, 8.1, 7.4, 8.7, 9.6, 10.2, 10.4, 11.5,
    10.4, 11.5, 13.2, 13.2, 10.7, 11.5, 13.2, 11.5, 10.7, 10.7, 11.5, 9.8,
    10.4, 12, 12, 10.8, 9.3, 8.9, 9.3, 9.3, 8.9, 8.9, 10.4, 13.2, 13.2, 11.3,
    11.3, 13.2, 11.3, 8.9, 7.2, 7.6, 7.2, 7.2, 7.9, 7.9, 8.2, 10.2, 10.2,
    7.9, 8.2, 8.2, 8.6, 8.4, 9.3, 9.3, 10.8, 10.2, 9.3, 9.8, 10.8, 9.8, 8.6,
    9.3, 9.3, 9.8, 9.8, 8.9, 7.6, 7.2, 7.9, 8.6, 8.6, 8.9, 8.4, 7.6, 7.2,
    6.7, 6.7, 6.9, 6.2, 7.2, 7.9, 6.9, 6, 5.4, 4.9, 5.4, 5.7, 5.4, 4.2, 4.9,
    4.6, 4.2, 3.9, 3.7, 3.1, 2.6, 2.1, 2.1, 2.6, 2.6, 2.1, 1, 0.6, 0.7, 1.1,
    1.1, 1.6, 1.4, 1, 1.1, 1.4, 1.3, 1.6, 1.8, 2.1, 2.4, 2.6, 2.4, 2.6, 4.2,
    3.3, 3.1, 2.6, 3.1, 2.1, 2.4, 2.6, 2.6, 2.4, 2.4, 2.1, 1.8, 1.8, 1.8,
    2.1, 2.4, 3.1, 3.3, 3.1, 2.6, 2.1, 2.9, 2.1, 2.6, 3.5, 2.4, 3.1, 3.5,
    4.6, 4.6, 5.2, 5.4, 5.7, 6.6, 7.6, 7.6, 8.4, 7.6, 7.2, 7.9, 8.6, 8.4,
    8.6, 7.9, 7.9, 7.9, 8.4, 7.2, 6.9, 6.4, 4.9, 5.7, 6.2, 6.4, 6.2, 5.7,
    4.6, 4.2, 4.9, 4.6, 4.2, 4.2, 3.7, 3.5, 3.3, 2.1, 2.6, 2.4, 2.1, 2.1,
    2.1, 2.4, 2.6, 2.9, 2.9, 3.1, 3.1, 3.3, 4.2, 3.3, 3.1, 2.4, 3.5, 2.4,
    2.4, 2.1, 3.5, 4.2, 4.6, 3.9, 4.6, 5.4, 5.7, 5.4, 6, 5.2, 4.4, 4.6, 4.2,
    4.4, 5.4, 5.7, 5.2, 5.4, 5.7, 5.7, 6.2, 6.6, 6.9, 6.9, 6.2, 5.2, 3.3,
    3.3, 3.9, 3.1, 2.4, 3.5, 4.2, 3.7, 4.2, 4.4, 3.9, 4.4, 4.4, 4.9, 4.2, 6,
    6.4, 6, 5.7, 6, 6, 5.2, 4.9, 4.9, 4.2, 4.2, 4.4, 3.9, 3.7, 4.4, 4.9, 2.9,
    3.7, 3.7, 3.9, 3.9, 3.3, 4.4, 3.9, 3.7, 4.4, 5.7, 4.6, 3.9, 3.7, 2.6,
    2.4, 2.4, 2.6, 2.4, 2.9, 2.1, 3.5, 4.6, 4.2, 2.1, 1.4, 1.4, 1.7, 2.1,
    3.1, 3.5, 4.2, 3.5, 2.9, 3.7, 3.1, 3.3, 3.5, 3.1, 3.7, 3.7, 3.7, 2.1,
    2.1, 2.1, 2.6, 1.7, 1.6, 1.8, 2.4, 3.3, 3.9, 4.9, 5.2, 4.9, 3.9, 4.2,
    2.9, 2.6, 2.9, 2.9, 3.5, 3.1, 3.1, 2.9, 3.1, 3.3, 3.1, 1.8, 2.4, 2.6,
    2.4, 2.9, 2.9, 3.7, 4.6, 5.4, 5.7, 6, 5.4, 4.4, 4.4, 3.7, 4.2, 4.2, 4.6,
    3.7, 2.6, 3.5, 3.3, 3.7, 2.9, 1.8, 1.4, 1.3, 1, 0.6, 0.7, 0.4, 0.6, 0.8,
    1.1, 1.1, 1, 1.1, 0.8, 1.6, 1.6, 1.1, 1, 0.8, 0.7, 0.8, 0.7, 0.7, 1, 1.3,
    0.7, 1.4, 0.8, 0.8, 1.3, 1.7, 1.7, 2.4, 2.6, 3.1, 4.6, 4.2, 4.9, 5.2,
    3.5, 4.2, 3.9, 3.3, 2.9, 2.6, 1.4, 1.4, 1.6, 1.7, 1.4, 1.3, 1.1, 0.6,
    0.3, 0.2, 0.1, 0.8, 0.8, 1.1, 1.1, 1.7, 1.7, 2.6, 2.4, 1.8, 1.8, 0.4,
    0.3, 0.5, 0.2, 0.1, 0.3, 0.4, 0.5, 1.1, 1.3, 1.8, 2.6, 1.8, 1.7, 1.7,
    1.8, 2.1, 2.4, 3.1, 3.5, 3.5, 3.1, 3.1, 3.5, 3.9, 2.4, 3.1, 3.5, 3.1,
    2.4, 1.8, 1.6, 1.7, 1.4, 1.4, 1, 1, 1, 1.4, 1.8, 2.4, 2.4, 1.8, 1.4, 1.4,
    1.3, 1.4, 1.6, 1.4, 1.7, 2.4, 2.9, 3.5, 2.9, 2.1, 1.8, 2.1, 2.6, 2.6,
    2.1, 1.8, 2.1, 2.4, 3.5, 3.1, 3.7, 4.4, 4.9, 4.9, 4.2, 3.5, 3.3, 3.5,
    3.5, 3.3, 2.6, 2.9, 2.4, 2.9, 2.9, 2.4, 2.4, 1.4, 1.4, 1.6, 1.4, 1.7,
    1.8, 1.8, 1.8, 1.6, 1.4, 1.1, 1.1, 1.3, 0.6, 0.7, 0.6, 0.6, 0.8, 0.7,
    0.4, 0.4, 0.4, 0.3, 0.5, 1, 0.7, 0.8, 1.8, 2.1, 2.1, 1.6, 2.1, 2.1, 3.3,
    3.3, 4.4, 4.4, 4.9, 5.2, 5.2, 4.6, 6, 6, 6.7, 7.6, 7.2, 7.2, 7.6, 6.9,
    6.7, 6.4, 5.4, 6.2, 6.4, 7.2, 6.7, 7.2, 6.9, 6.9, 6.2, 5.7, 6.2, 6.4, 6,
    4.9, 5.2, 4.6, 5.7, 6.2, 5.4, 4.9, 4.9, 4.2, 3.9, 3.5, 4.4, 4.9, 4.6,
    5.2, 5.7, 5.7, 6.4, 5.7, 5.2, 6.6, 5.7, 6, 5.7, 5.4, 5.4, 4.9, 5.4, 6,
    6.9, 7.2, 6.7, 6.7, 7.2, 7.6, 8.2, 6.9, 7.2, 6.4, 6.2, 6.4, 6.7, 6, 5.4,
    5.2, 4.9, 5.4, 4.6, 4.2, 3.5, 4.2, 4.2, 3.5, 3.5, 3.3, 4.4, 3.7, 3.9,
    3.7, 3.7, 3.9, 3.9, 4.2, 3.1, 3.7, 4.9, 4.2, 3.9, 3.9, 3.5, 4.2, 4.6,
    3.9, 3.7, 3.7, 2.9, 2.9, 3.7, 5.4, 6, 4.6, 4.4, 4.9, 4.6, 5.4, 5.7, 6.4,
    6.6, 7.2, 7.6, 8.2, 8.4, 6.9, 6.7, 7.2, 8.2, 8.2, 7.2, 7.2, 7.6, 6.7,
    6.2, 5.7, 5.2, 5.4, 5.2, 4.9, 4.4, 4.6, 4.9, 4.6, 4.4, 4.6, 5.2, 4.9,
    5.2, 4.6, 5.4, 5.2, 5.2, 5.2, 3.9, 4.9, 4.2, 3.3, 3.5, 2.1, 2.1, 2.6,
    2.6, 2.4, 3.1, 2.9, 2.6, 2.6, 2.4, 3.3, 3.1, 2.9, 2.4, 3.9, 3.7, 2.9,
    3.3, 3.1, 2.9, 2.4, 3.5, 3.1, 2.9, 2.9, 2.4, 1.8, 2.4, 1.8, 1.8, 3.9,
    3.7, 3.7, 3.9, 3.7, 6, 5.7, 6.6, 6.6, 5.7, 6, 5.4, 4.4, 3.3, 2.6, 2.6,
    1.3, 1.8, 1.7, 1.3, 0.8, 1.3, 1, 1.1, 1.7, 2.1, 3.5, 4.6, 5.2, 5.4, 6.2,
    6, 5.4, 5.2, 5.2, 6.4, 5.2, 4.9, 6, 4.9, 5.8, 5.5, 5.5, 5.5, 3.5, 4.5,
    3.7, 3.9, 3.5, 4.8, 6.2, 7.6, 5.5, 5.3, 6.6, 7.1, 6.6, 6.2, 4.5, 3.7,
    4.5, 4.5, 4.8, 3.5, 3.1, 3.1, 4.2, 4.8, 3.7, 3.9, 3.1, 3.7, 4.8, 4.8,
    6.6, 7.6, 8.9, 10, 11.1, 13.6, 12, 11.1, 9.5, 8.4, 6.2, 7.6, 6.6, 6.6,
    8.4, 8, 10, 8.4, 5.8, 5.5, 4.8, 3.7, 3.5, 3.9, 4.5, 4.8, 4.5, 3.9, 4.5,
    4.2, 3.9, 4.8, 5, 5.5, 4.8, 5.3, 4.8, 4.2, 4.5, 3.5, 3.9, 4.5, 2.7, 2.5,
    2.7, 2.9, 3.5, 3.2, 3.7, 4.2, 4.2, 3.9, 3.5, 3.2, 2.7, 2.7, 3.1, 2.5,
    2.3, 2.5, 2, 1.5, 0.9, 0.7, 1.3, 1, 0.7, 1.2, 0.9, 1.5, 1.5, 2, 2.2, 1.7,
    2.5, 2.9, 2.5, 1.7, 1.5, 1.2, 1.2, 0.9, 1.8, 1.3, 0.9, 1.2, 1.5, 1.5,
    1.2, 1.2, 1.5, 1.2, 1.3, 1.3, 0.9, 0.7, 0.9, 0.5, 0.4, 0.2, 0.3, 0.2,
    0.2, 0.2, 0.1, 0.1, 0.1, 0.1, 0.2, 0.5, 0.6, 0.7, 0.3, 0.5, 0.9, 0.5,
    1.2, 1.5, 1.2, 1.3, 2, 1.3, 1, 1, 1.5, 1, 1.8, 1.5, 1.5, 1.3, 1.5, 1.5,
    2.7, 3.1, 3.5, 3.1, 2.7, 2.9, 2.2, 2.2, 2.3, 1.8, 3.1, 3.7, 3.9, 3.1,
    3.7, 5, 5, 5.5, 5.8, 6.2, 5.8, 5.8, 6.2, 5.5, 5.8, 5.8, 6.6, 7.6, 8.9,
    10, 9.2, 7.6, 7.1, 8, 8.7, 8.4, 8.4, 9.2, 10.6, 12, 10, 8.9, 8.9, 7.6,
    5.5, 5.8, 5.3, 4.2, 2.5, 2.9, 2.5, 2.5, 2.7, 2.9, 3.9, 3.9, 3.5, 4.2,
    3.2, 4.5, 3.1, 2.9, 3.1, 2.9, 3.7, 3.5, 3.7, 3.9, 5.3, 5.3, 5.8, 5.5,
    5.3, 5.5, 6.6, 6.2, 7.1, 8, 9.5, 8, 8.4, 7.6, 7.1, 6.6, 6.6, 6.2, 6.2,
    7.1, 5.8, 5.5, 7.1, 5.3, 5.8, 6.2, 6.2, 9.2, 10.6, 9.5, 7.6, 7.1, 6.6,
    5.8, 7.1, 5.8, 6.2, 8, 5.8, 7.1, 7.6, 8, 7.1, 6.6, 6.6, 7.1, 7.6, 7.6,
    7.1, 8, 8.7, 8, 7.1, 7.6, 7.1, 5.8, 6.6, 5, 4.5, 4.2, 3.2, 3.5, 4.2, 5,
    5.3, 5.3, 5.3, 4.2, 4.2, 4.8, 3.5, 3.5, 2.7, 1.7, 1, 1.2, 1.5, 2, 2.9,
    4.2, 3.9, 3.9, 4.8, 5.5, 5, 3.7, 4.5, 3.9, 4.5, 5, 5, 5.8, 6.2, 5.3, 5.3,
    4.5, 5.5, 4.8, 4.2, 3.5, 3.2, 2.7, 2, 2.5, 3.1, 3.2, 3.7, 4.2, 4.5, 3.5,
    3.5, 2.9, 3.5, 3.5, 3.7, 3.9, 4.8, 4.8, 5, 5.8, 6.2, 7.1, 6.6, 6.2, 5.3,
    4.5, 3.7, 3.9, 5.3, 5, 4.2, 4.2, 4.2, 3.9, 3.9, 3.9, 3.7, 3.5, 4.2, 4.5,
    5, 4.8, 3.5, 3.9, 3.2, 3.2, 3.1, 3.5, 3.1, 3.1, 4.5, 4.5, 5, 6.2, 7.1,
    6.6, 5.5, 4.8, 4.5, 4.8, 4.5, 4.5, 3.7, 2.3, 2, 1.8, 2.2, 1.8, 1.2, 1.3,
    1.2, 1.5, 1.2, 0.9, 0.8, 0.8, 1, 0.7, 0.6, 0.7, 0.6, 1, 1.2, 1, 1, 0.9,
    1.5, 1.7, 2.3, 2.2, 1.5, 1.7, 1.8, 1.8, 1.3, 1.2, 1.5, 1.7, 2.3, 2.3,
    2.2, 2.9, 3.1, 2.7, 2.9, 3.2, 3.1, 3.1, 2, 2, 2.2, 2.5, 2.9, 2.5, 2.9,
    3.1, 2.5, 2.2, 2, 1.3, 1.3, 0.9, 0.9, 0.9, 1.3, 1.2, 1, 1.2, 1.5, 2.3,
    2.3, 2.2, 2.7, 3.2, 3.9, 4.2, 3.9, 3.5, 3.2, 3.5, 2.7, 2.2, 2.2, 2, 2,
    3.1, 2.5, 1.8, 2.3, 2.5, 1.7, 1.8, 2.2, 2.2, 2.9, 2.7, 3.2, 3.9, 4.8, 5,
    4.8, 4.2, 3.5, 3.1, 2, 1.3, 2.2, 2.5, 2.7, 2.2, 1.8, 1.5, 2.5, 1.5, 0.8,
    0.7, 0.8, 0.7, 0.7, 0.7, 1, 1.3, 1.3, 1.8, 1.8, 2, 1.8, 2.2, 3.1, 3.7,
    4.2, 3.7, 3.7, 3.9, 4.2, 3.7, 3.2, 2.9, 3.5, 2.5, 3.2, 4.2, 2.9, 2.5,
    2.7, 2.5, 3.5, 3.1, 3.1, 2.9, 2.9, 2.5, 2.7, 2.9, 3.2, 2.9, 2.7, 2.3,
    1.8, 1.8, 2.2, 2.7, 1.8, 2.3, 2, 2.7, 2.7, 2.7, 2, 1.7, 2, 1.5, 1.7, 1.8,
    2, 2.3, 2.2, 2.5, 2.5, 2.5, 2.9, 3.1, 3.1, 1.5, 1.5, 1.5, 1.3, 1.3, 1.2,
    0.7, 0.9, 0.3, 0.7, 0.5, 0.4, 0.3, 0.5, 0.5, 0.4, 0.7, 1.5, 0.8, 1.5,
    0.8, 1, 0.7, 0.3, 0.6, 0.8, 0.8, 0.5, 0.6, 0.5, 0.6, 1.3, 1, 1.2, 1.7,
    2.2, 2.2, 2.5, 2.9, 2, 1.8, 1.7, 2, 2.3, 2.2, 1.7, 2, 2, 2.3, 3.5, 4.2,
    3.1, 3.5, 3.7, 3.2, 3.5, 3.2, 3.5, 4.8, 4.8, 4.8, 5.8, 5.8, 5.8, 6.2,
    5.8, 5, 6.2, 5.8, 6.2, 5.8, 6.2, 5.3, 6.2, 7.1, 5.8, 5.3, 4.8, 3.9, 4.2,
    4.8, 6.2, 5.8, 4.8, 4.8, 5, 4.2, 3.9, 4.2, 3.2, 3.7, 4.5, 4.5, 2.9, 2.9,
    3.5, 3.2, 3.1, 2.5, 1.7, 2.2, 2, 1.5, 2.5, 2.9, 3.5, 4.5, 4.5, 4.8, 3.9,
    3.5, 3.9, 3.7, 4.5, 3.5, 2.7, 2.5, 2.3, 2.5, 2.7, 2.5, 2.7, 3.5, 4.2,
    3.9, 3.7, 3.1, 3.1, 2.5, 1.8, 2, 2, 1.8, 2, 2, 2.3, 2.3, 1.7, 1.2, 1.3,
    1.5, 1.3, 1, 0.8, 1, 0.9, 1, 1.3, 2, 1.7, 2.3, 3.5, 2.9, 3.7, 4.8, 5.3,
    5.3, 5, 5, 5, 7.1, 5.5, 6.6, 7.6, 8.4, 7.1, 7.1, 7.2, 6.6, 6.1, 5.4, 5.4,
    4.3, 4.9, 3.9, 3.6, 4.1, 3.3, 3.3, 3.3, 3.3, 3.3, 2.4, 2, 2.2, 3, 3.9,
    4.1, 4.7, 4.1, 3.9, 2.1, 2.2, 3.6, 4.1, 3.3, 3.3, 3.9, 3.6, 3.6, 3.9,
    4.7, 4.7, 4.1, 3, 4.3, 4.3, 3, 3.3, 3.3, 3.6, 3, 3.6, 2.2, 2, 1.9, 1.3,
    1.1, 0.9, 0.9, 0.8, 0.7, 0.6, 0.7, 0.7, 0.6, 0.6, 0.7, 0.6, 0.5, 0.6,
    0.5, 0.2, 0.2, 0.2, 0.5, 0.3, 0.2, 0.2, 0.3, 0.5, 0.6, 0.4, 0.3, 0.4,
    0.4, 0.4, 0.4, 0.5, 0.6, 0.7, 0.7, 0.8, 0.8, 0.8, 0.9, 0.9, 1.5, 1.3,
    1.8, 1.9, 2, 1.5, 1.3, 1.1, 0.9, 1.1, 1.7, 1.5, 1.1, 1.5, 1.1, 1.7, 1.3,
    1.9, 1.8, 1.7, 1.5, 1.3, 1.5, 1, 1, 0.9, 1, 1.5, 1.8, 1.9, 1.3, 1.8, 1.3,
    1, 1.8, 1.5, 1.1, 1.1, 1.1, 0.9, 1.1, 1.3, 1.1, 1.3, 1.1, 1.5, 1.3, 1.3,
    1.1, 1.5, 1.7, 0.8, 0.9, 1.3, 1.1, 1.7, 1.3, 1.7, 1.5, 1.9, 2.1, 1.8, 3,
    2.7, 3.3, 3, 2.4, 2.4, 3, 4.1, 4.5, 4.9, 3.3, 3.9, 2.4, 2.2, 2.4, 2.7, 3,
    2.4, 4.3, 3.9, 4.3, 3.9, 3, 3.9, 4.9, 5.1, 6.1, 8.6, 7.2, 8, 13.7, 10.2,
    11.2, 9.9, 9.6, 8, 6.6, 8, 5.9, 5.6, 5.6, 5.4, 4.9, 5.6, 4.9, 5.1, 4.7,
    5.1, 5.6, 5.1, 5.1, 6.1, 4.9, 5.4, 5.9, 5.4, 5.1, 4.7, 4.7, 4.5, 4.3,
    4.7, 4.9, 4.9, 4.9, 4.7, 5.4, 5.1, 4.3, 4.3, 3.6, 3.6, 3.6, 3.6, 3.3,
    2.7, 3.6, 4.1, 4.9, 4.5, 4.5, 4.7, 4.7, 4.7, 4.1, 3.9, 2.7, 1.9, 2.7,
    2.7, 3.6, 1.9, 1, 1.7, 1.9, 2.2, 2.7, 3, 3.9, 4.3, 4.9, 5.6, 6.1, 6.9,
    7.2, 7.6, 6.9, 5.9, 6.3, 6.6, 6.1, 6.3, 6.6, 6.1, 8, 8.6, 7.2, 6.6, 6.3,
    6.1, 5.4, 5.4, 5.1, 4.5, 3.9, 3.3, 3.9, 3.3, 4.3, 3.6, 4.3, 3, 2.7, 3, 3,
    3, 2.4, 3.6, 3.9, 3.9, 2.7, 2.4, 3.6, 3.6, 3.6, 3, 2.2, 2.4, 3.3, 4.1,
    4.1, 3.3, 3.9, 3.3, 3.3, 3, 3.6, 3.6, 3.3, 3.9, 3.3, 3, 3, 2.7, 3, 3,
    2.4, 3, 3.9, 3, 4.3, 4.5, 5.6, 7.2, 8, 7.2, 7.6, 7.2, 6.6, 5.9, 5.9, 7.2,
    6.6, 7.2, 9, 6.9, 6.9, 7.2, 7.6, 6.9, 7.6, 6.9, 8.6, 8.6, 8.6, 8, 6.9,
    7.2, 6.1, 5.1, 6.1, 5.9, 5.4, 5.4, 5.6, 5.6, 4.7, 5.4, 5.1, 5.6, 5.1,
    4.9, 6.6, 8, 7.6, 7.2, 6.9, 7.6, 8.6, 8, 8, 9.3, 9.9, 9.3, 7.2, 6.3, 6.9,
    9, 9, 7.6, 8.6, 7.6, 7.6, 8.6, 8, 6.1, 5.6, 6.1, 5.9, 5.1, 5.6, 5.4, 6.6,
    6.6, 6.1, 5.9, 6.6, 6.1, 4.9, 5.1, 4.3, 4.3, 4.7, 4.3, 4.1, 5.1, 5.4,
    5.4, 3.6, 3.9, 3.9, 3, 2.7, 3, 2.2, 2.1, 2.4, 2.7, 2.4, 2.1, 2.7, 2.4,
    1.5, 1.8, 1.8, 1.8, 2.2, 2.1, 2.7, 2.4, 2.1, 2.4, 3, 4.1, 3, 3, 3.6, 3,
    2.7, 2.1, 1.5, 1.7, 1.7, 2, 2.7, 2.4, 3.6, 3.6, 3.3, 3.9, 3.6, 2.1, 2.1,
    2.1, 3.9, 3.6, 3, 2.7, 3, 3.3, 2.7, 2.4, 2.2, 2.7, 2.7, 1.8, 1.3, 1.3,
    1.3, 1.3, 0.9, 0.9, 1.1, 1.3, 1.5, 1.1, 2, 2.1, 2.1, 1.5, 1.5, 1.3, 1.1,
    0.9, 1, 1.3, 1.9, 2.1, 2.1, 2.1, 1.8, 1.5, 1.8, 2.1, 2.1, 2, 2.2, 3.3,
    2.1, 3.6, 3, 3.6, 3, 2.7, 4.5, 4.7, 3, 3.9, 2.7, 3.9, 3, 2.4, 3, 3.3,
    2.2, 2.2, 3.3, 3.9, 3.9, 3.3, 4.7, 4.3, 3.6, 2.7, 3.3, 3.6, 3.6, 3.3,
    3.9, 4.7, 3, 2.7, 2.4, 3.6, 4.9, 5.1, 5.4, 5.6, 5.1, 6.1, 6.6, 6.6, 6.6,
    5.9, 4.5, 4.9, 5.6, 5.6, 5.4, 5.6, 6.6, 7.2, 6.6, 6.1, 7.2, 6.9, 7.2,
    6.1, 6.6, 6.1, 5.4, 4.3, 5.6, 5.9, 6.3, 6.9, 8, 8.6, 9.6, 13.7, 12.5,
    11.2, 10.2, 8, 7.2, 6.6, 6.6, 6.9, 5.1, 4.9, 5.1, 4.7, 4.5, 4.7, 5.6,
    4.9, 4.5, 4.7, 4.5, 3, 3, 3, 3.9, 2.7, 3.3, 4.1, 4.5, 5.4, 4.9, 5.9, 5.9,
    6.1, 6.6, 7.6, 5.4, 5.1, 5.1, 5.6, 5.6, 6.3, 6.1, 6.3, 8, 7.6, 6.3, 8, 9,
    9.6, 9.6, 10.2, 8.6, 10.2, 11.2, 10.2, 11.2, 9.3, 9.3, 11.2, 11.2, 11.2,
    11.2, 8.6, 8.6, 7.6, 8, 8, 9.3, 9.3, 7.2, 6.9, 5.6, 5.9, 5.6, 4.1, 4.1,
    4.7, 4.7, 5.1, 4.5, 3.9, 2.7, 2.7, 3.3, 2.2, 2.1, 2, 2.1, 2.2, 2.4, 3.3,
    4.3, 5.1, 5.1, 5.1, 4.7, 4.7, 4.5, 4.1, 3.6, 2.7, 3.3, 3.6, 2.7, 1.9,
    1.7, 1.8, 1.3, 1.7, 1.7, 1.5, 1.8, 2.4, 2.4, 3.3, 3.3, 3.3, 3.9, 4.3,
    4.3, 4.5, 5.1, 3.6, 3.9, 3.9, 3, 2.7, 3, 4.9, 3, 2.7, 3, 2.7, 3.6, 2.4,
    4.3, 4.5, 4.3, 4.7, 4.1, 3.6, 2.7, 3.3, 2.4, 2.1, 2.4, 2.4, 2, 2, 1.8,
    1.8, 2.3, 1.9, 1.9, 1.6, 2.5, 2.6, 2.9, 3, 3.7, 3, 2.9, 2.5, 2.6, 1.8,
    1.8, 1.4, 0.6, 0.2, 1.2, 0.3, 0.5, 1.2, 0.8, 0.8, 1.2, 1.6, 1.9, 1.9,
    2.5, 2.6, 3.3, 3.4, 3.3, 3.7, 4.2, 4.4, 4.7, 4.8, 5.7, 6.2, 5, 5.2, 3.6,
    3.4, 4.6, 4.4, 4.7, 5, 5, 5.4, 4.7, 4.6, 3.4, 3.7, 4, 4, 3.7, 4, 4, 4.2,
    4.4, 4.2, 4, 3.3, 2.9, 2.5, 3.3, 4.4, 4.8, 5, 5, 5, 5.7, 5.9, 6.2, 6.7,
    5.9, 6.7, 7.2, 7.2, 8.9, 9.2, 9.2, 10.5, 10.7, 10.9, 11.3, 10.1, 10.7,
    9.7, 8.5, 6.7, 5, 4.7, 4.2, 3.7, 3.6, 4.2, 3.4, 3.7, 4.6, 4.4, 4.6, 5.7,
    5.9, 6.2, 5.4, 5.9, 6.7, 7.5, 8.5, 7.9, 7.5, 5.7, 5.4, 4.8, 4.7, 4.6,
    4.7, 5.4, 5.4, 5.7, 4.8, 4.7, 4.4, 4.6, 5, 5.2, 5.4, 6.5, 6.7, 7.2, 6.7,
    6.5, 5.7, 7, 7.2, 7.2, 6.7, 6.7, 7.2, 7, 7, 7.2, 6.2, 5, 4.7, 5, 5.4,
    5.9, 6.2, 6.7, 7.5, 6.7, 6.7, 7.2, 7, 7.7, 7.9, 8.2, 7.7, 8.2, 8.2, 7.7,
    7.9, 7.9, 7, 7.9, 8.2, 8.2, 8.5, 8.9, 8.9, 9.2, 8.5, 8.9, 9.2, 8.9, 8.5,
    8.2, 9.5, 8.9, 8.9, 10.1, 9.2, 8.7, 7.5, 7.7, 7.9, 7.5, 7.5, 7.2, 6.7,
    7.2, 8.7, 8.7, 7.2, 7, 5.7, 5.4, 5.7, 6.7, 6.5, 6.5, 6.2, 6.7, 5.9, 7,
    6.7, 6.7, 6.5, 6.5, 7, 7.9, 7.2, 8.2, 7.5, 6.7, 7.2, 8.2, 8.9, 8.9, 8.2,
    8.9, 9.7, 9.7, 9.5, 9.5, 9.7, 10.1, 9.7, 13.1, 13.7, 12.4, 11.7, 10.1,
    10.9, 10.5, 9.2, 8.5, 8.9, 7.2, 6.2, 7, 6.5, 6.5, 6.2, 5.4, 6.2, 7, 7.7,
    7.2, 7.7, 8.5, 8.2, 7.5, 7.7, 7.7, 7.7, 7.9, 7.9, 7, 6.5, 6.2, 6.5, 6.7,
    5.9, 5.7, 6.5, 7.5, 6.2, 7, 7.2, 5.7, 6.2, 6.2, 5.2, 5.7, 5.4, 5.2, 4.7,
    5, 5, 4.7, 4.4, 3.6, 3.6, 3.3, 3, 2.5, 2.6, 1.9, 1.6, 1.6, 2.1, 2.3, 2.1,
    2.3, 2.5, 2.3, 2.3, 2.1, 2.1, 1.8, 1.2, 1.8, 1.6, 2.1, 0.6, 1.2, 0.8, 1,
    1.6, 1.6, 1.6, 1.9, 1.2, 1, 1.6, 1.6, 1, 1, 1.4, 1.4, 1.6, 1.4, 1.9, 1.9,
    2.4, 2.1, 2.4, 2.4, 2.1, 2.3, 2.1, 2.4, 2.5, 2.4, 2.7, 2.7, 2.7, 3, 2.9,
    3, 3.7, 3.7, 3, 2.7, 3.4, 3.3, 3.6, 4.4, 4.4, 3.6, 3.6, 3.3, 2.7, 3.3,
    3.4, 3, 3.3, 2.7, 3.3, 4.2, 5, 5, 4, 3.7, 3.7, 4, 3.3, 3.3, 2.9, 3.3,
    2.7, 2.6, 2.9, 3.3, 4.2, 4, 3.3, 3.4, 4, 3, 4.2, 4, 4.4, 3.7, 4.2, 4.2,
    4.6, 5.2, 5, 5, 4.7, 4.7, 5.2, 5.2, 5.4, 5.2, 5, 5.4, 5.9, 5.2, 5.2, 5.2,
    6.2, 6.2, 5.7, 5.7, 6.2, 6.7, 6.2, 5.4, 5.2, 4.8, 4.7, 4.8, 5.2, 4.8,
    4.4, 3.7, 3.7, 4.2, 3.7, 3, 2.9, 3.4, 4, 3.7, 3.6, 3, 3, 3, 3, 4.2, 4.4,
    4.8, 5.4, 5.7, 5.9, 5.4, 5.9, 6.2, 6.5, 6.5, 5.4, 4.2, 4.4, 4.2, 4.4,
    4.2, 4.2, 3, 2.5, 2.5, 2.4, 3, 2.6, 3, 2.7, 2.5, 2.9, 3, 3, 3.7, 4, 3.4,
    3.4, 2.4, 2.7, 2.9, 3.3, 3.4, 3.6, 4, 4.4, 4.4, 3.7, 4.2, 4.2, 4.4, 5,
    6.7, 7.9, 8.2, 7, 6.5, 6.7, 6.2, 5.4, 5.2, 5.2, 4.2, 3.7, 3.3, 4.2, 4.2,
    4.2, 3.7, 3.6, 4.6, 5.7, 5.7, 7, 7.5, 8.2, 7.7, 8.5, 9.5, 10.1, 10.9,
    11.7, 11.7, 14.6, 14.6, 16.6, 12.4, 14.6, 11.3, 11.7, 12.4, 11.3, 13.1,
    11.7, 13.1, 13.1, 11.7, 11.3, 10.5, 10.5, 11.7, 10.9, 12.4, 10.1, 9.5,
    7.7, 8.2, 9.2, 8.5, 8.2, 7.2, 8.5, 7.9, 7.7, 5.9, 5.4, 5.4, 5, 4.7, 4.7,
    4.4, 4.8, 5.7, 5.4, 5.7, 5.9, 5.9, 6.2, 7.7, 7.7, 8.2, 8.7, 10.1, 10.7,
    10.9, 10.1, 10.5, 9.2, 9.7, 8.9, 8.9, 9.2, 10.1, 10.1, 10.1, 9.2, 10.1,
    8.9, 7.5, 7, 7.5, 6.2, 5.9, 5.7, 5.9, 6.2, 5.4, 5.7, 5.9, 6.2, 7.2, 7.7,
    6.5, 6.2, 5.9, 5.9, 5.9, 5.7, 6.2, 5.2, 5.4, 6.5, 6.2, 5.4, 5.2, 4.7, 5,
    5, 5.7, 5.9, 5.9, 5.2, 4.8, 5, 5, 5.2, 3.7, 4.6, 4.4, 3.7, 3, 3.3, 3, 3,
    3.7, 3.4, 3.7, 4.7, 4, 4, 4.2, 3.6, 3, 3.3, 3.3, 2.7, 2.3, 2.1, 2.5, 2.3,
    2.3, 2.1, 1.8, 1.6, 2.4, 2.3, 2.4, 2.5, 1.6, 1.9, 1.4, 1.6, 1.9, 1.9,
    1.8, 1.8, 2.1, 1.9, 2.1, 2.1, 2.3, 1.8, 0.8, 1.6, 1.9, 1, 1.2, 1.6, 1.4,
    1.6, 1, 0.8, 0.6, 0.3, 1.2, 1.4, 1.4, 0.8, 1, 1, 1.6, 1.4, 0.8, 0.5, 0.5,
    0.1, 0.5, 0.8, 0.8, 0.5, 0.8, 1.4, 1.2, 0.6, 1.2, 2.1, 2.1, 2.6, 2.7,
    2.6, 2.7, 2.5, 2.1, 2.1, 1.6, 2.1, 1.2, 0.8, 0.8, 1.8, 2.1, 2.7, 3.3,
    4.4, 4.4, 4.2, 4.7, 5.2, 4.7, 4.4, 4, 4, 4, 4.2, 4, 4.2, 3.4, 3.6, 3.4,
    3.4, 4, 3.7, 3, 3.7, 3.4, 3.3, 3.4, 3, 3, 2.7, 2.6, 2.9, 2.9, 2.7, 3.4,
    3.4, 4, 5.1, 4.9, 4.9, 5.1, 5.1, 5.7, 6, 5.1, 4.5, 4.9, 6.3, 5.7, 5.5,
    5.5, 6.5, 6.5, 6, 5.7, 6.3, 5.7, 5.5, 5.7, 6, 7.6, 9.9, 9.4, 10.8, 8,
    7.6, 7.2, 6.3, 6.3, 5.7, 5.1, 4.9, 4.5, 4.7, 4.9, 4.9, 3.6, 4, 4.9, 4.9,
    5.5, 6.3, 5.3, 5.3, 4.5, 4, 4, 5.3, 5.7, 5.7, 5.1, 6.3, 6.7, 7.2, 9.4,
    10.3, 7.6, 7.6, 8.9, 9.4, 10.3, 11.6, 9.9, 9.9, 9.9, 9.4, 9.4, 9.4, 10.8,
    13.4, 12, 12.6, 12.6, 14.9, 12.6, 13.4, 12.6, 10.8, 8.9, 9.4, 8.9, 9.4,
    9.4, 8.9, 7.6, 7.2, 6.9, 8.4, 10.3, 7.6, 6.7, 8, 8.4, 8.9, 10.8, 9.9,
    12.6, 12.6, 11.6, 12.6, 16.5, 14, 12, 11.3, 9.9, 8.9, 9.4, 8.9, 8, 8.4,
    7.6, 8, 7.6, 8.4, 8, 8.9, 9.4, 9.9, 9.9, 8.9, 10.8, 10.8, 10.3, 8.4, 8,
    8, 9.4, 7.6, 6.9, 6.5, 7.6, 6.7, 8, 8, 8, 7.6, 6, 5.5, 6.3, 5.7, 6.3, 6,
    6, 5.3, 4.9, 4, 3.4, 3.2, 2.7, 2.7, 2.7, 3.6, 3.2, 3.2, 3.2, 4, 4.3, 4.7,
    3.7, 4, 4.3, 3.7, 2.9, 3.4, 3.7, 3.7, 3.6, 2.7, 2.9, 2.9, 2.7, 2.4, 2.7,
    3.4, 3.6, 2.7, 2.9, 2.9, 4.3, 4, 3.2, 2.7, 2.9, 2.1, 2.1, 2.3, 3.2, 3.2,
    3.4, 3.7, 3.2, 2.9, 2.7, 3.2, 3.7, 5.3, 5.7, 5.7, 4.9, 5.3, 6, 4.9, 5.5,
    4.9, 4.5, 4.3, 4.3, 4, 3.2, 3.4, 4.3, 4.7, 3.6, 4, 3.2, 3.2, 2.1, 1.9,
    2.7, 3.4, 3.2, 2.4, 2.4, 1.9, 1.8, 1.8, 2.1, 2.5, 2.7, 3.2, 4.3, 4.3, 4,
    4.3, 4.5, 4.9, 4.9, 5.5, 6.9, 8.4, 8.9, 8.9, 8.9, 8.9, 10.3, 10.3, 7.2,
    6.9, 6.9, 5.7, 5.1, 5.3, 4.5, 3.4, 4, 3.7, 4.5, 5.1, 4.5, 4.3, 3.6, 4,
    4.5, 4.5, 5.1, 6.3, 5.7, 5.3, 6, 6, 5.5, 6.5, 7.2, 8, 8, 10.3, 10.8, 9.4,
    10.3, 8.4, 7.6, 8, 7.2, 5.7, 5.5, 5.7, 4.5, 4.3, 4.9, 5.3, 5.7, 5.7, 6.7,
    7.6, 9.4, 7.6, 7.6, 8.4, 7.6, 8.4, 7.2, 6.9, 7.2, 7.2, 10.3, 9.4, 8.9,
    8.4, 6.5, 6.7, 6, 4.5, 4.3, 5.3, 4.5, 4, 3.6, 3.2, 4.3, 4.3, 3.6, 3.6,
    2.3, 2.3, 2.5, 2.3, 1.6, 1.8, 1.6, 2, 2.4, 2.4, 1.9, 2.9, 3.2, 3.6, 3.4,
    3.4, 2.9, 2.5, 2, 1.6, 2.3, 2.9, 2.9, 4.5, 4.5, 4.7, 4.7, 4, 3.7, 3.7,
    4.7, 5.7, 5.3, 5.1, 4.7, 4.3, 5.1, 4.3, 3.4, 2.9, 2.9, 4, 4, 4, 4, 4,
    3.4, 3.6, 2.9, 2.1, 1.8, 1.5, 1.6, 1.8, 1.6, 1.5, 1.1, 1.3, 1.6, 1.5,
    1.8, 1.5, 1.8, 1.6, 1.9, 2.1, 3.6, 4, 3.6, 4, 4.7, 5.5, 5.5, 5.7, 6.3,
    6.9, 7.2, 8.4, 8.4, 9.4, 12, 11.6, 11.3, 9.9, 8.9, 8, 6.7, 6, 6.5, 6.7,
    6.5, 6.3, 6.9, 6.5, 6.3, 7.2, 6.3, 6, 5.5, 6, 6.3, 7.2, 7.6, 8, 8, 7.6,
    8.4, 6.9, 6.5, 6.5, 7.2, 6.3, 6, 6.3, 6.9, 8, 10.3, 14, 12.6, 13.4, 12,
    14.9, 14.9, 13.4, 11.6, 11.3, 10.8, 12, 10.8, 9.9, 10.3, 11.3, 12, 12,
    14.9, 14.9, 17.9, 13.4, 11.3, 10.8, 10.3, 8.4, 7.2, 8, 8, 6.7, 6.3, 6.3,
    6, 7.2, 7.2, 7.6, 7.6, 6.7, 8.4, 8, 7.6, 5.7, 5.1, 5.1, 4.9, 5.1, 4.7,
    3.7, 5.5, 5.5, 5.7, 5.7, 5.5, 5.5, 5.3, 4.7, 4.7, 4.7, 5.1, 5.1, 4.3, 4,
    3.7, 4, 3.7, 3.7, 3.4, 3.7, 4, 4, 4.5, 4.5, 4.9, 5.3, 5.3, 4.9, 5.3, 6,
    5.7, 5.7, 6, 6.7, 6.3, 6.7, 6.3, 6, 6.9, 6.7, 7.2, 6.9, 7.2, 7.6, 6.7, 6,
    6.5, 6, 6, 5.7, 7.2, 6.7, 6.3, 8.9, 10.3, 10.8, 8.9, 8.9, 8.9, 9.4, 8.4,
    10.3, 9.4, 8.9, 9.4, 11.3, 9.9, 9.9, 10.8, 8.9, 8.9, 6.7, 7.2, 6.5, 6.7,
    5.3, 5.1, 6, 6, 6.9, 7.2, 8.4, 8, 8, 7.6, 7.2, 10.8, 10.8, 8.4, 8.9, 9.4,
    8.9, 7.2, 7.2, 7.6, 8.4, 8.4, 8.4, 7.2, 6.9, 8.4, 7.6, 6.9, 7.2, 7.6,
    7.2, 6.5, 6.9, 6, 5.7, 4.9, 4.5, 4.3, 3.4, 2.1, 2.4, 2.5, 2.9, 2.7, 2.4,
    1.9, 1.5, 1.8, 1.5, 1.4, 1.1, 1.3, 1, 0.9, 0.9, 0.8, 0.6, 0.5, 0.3, 0.5,
    0.1, 0.6, 0.8, 0.9, 1.1, 1.2, 1.2, 1.3, 1.3, 1.3, 1.2, 1.3, 1.1, 1, 0.8,
    0.6, 0.5, 0.3, 0.6, 0.8, 0.8, 0.9, 1, 1.5, 1.5, 1.6, 1.9, 1.9, 2.1, 2.1,
    2, 2.1, 2.9, 4, 4.9, 5.5, 5.7, 5.1, 3.7, 2.9, 3.6, 2.9, 2.9, 3.4, 2.9,
    2.5, 2.5, 3.2, 4, 4, 3.2, 3.6, 4, 4, 4, 4.3, 5.3, 4.7, 4.5, 3.4, 4, 3.6,
    2.9, 2.4, 2.3, 2.5, 2.3, 2.5, 3.2, 3.4, 3.7, 3.7, 4, 4.5, 4.9, 4.9, 4.5,
    3.2, 2.5, 2.3, 3.2, 2.9, 2.3, 2, 1.9, 1.9, 1.9, 2.1, 1.6, 2, 2.7, 2.5,
    1.9, 1.6, 2.5, 2.5, 2.1, 1.9, 2.3, 2.7, 3.2, 3.2, 2.9, 2.5, 2.3, 2.5,
    2.7, 3.2, 3.1, 2.3, 1.9, 1.7, 2.1, 2.7, 3.1, 2.8, 3.1, 2.9, 3.4, 3.4,
    3.2, 4.1, 4.5, 4.7, 5.2, 5.3, 5.5, 5.2, 5.3, 4.3, 4.5, 4.1, 4.7, 4.7,
    4.3, 4.7, 5.2, 5.9, 6.1, 6.1, 5.7, 5.6, 5.6, 5.3, 5.7, 5.2, 4.5, 3.7,
    3.6, 2.7, 2.3, 1.9, 1.9, 2.5, 2.5, 2.1, 2.3, 2.3, 2.5, 2.5, 2.8, 2.3,
    2.8, 2.1, 2.3, 2.1, 1.7, 2.5, 2.3, 2.1, 2.1, 1.7, 1.7, 0.6, 1.1, 0.6,
    0.2, 0.2, 0.4, 0.6, 0.9, 1.6, 1.1, 1.6, 1.4, 1.1, 2.1, 2.7, 3.2, 2.8,
    2.7, 3.4, 3.9, 3.7, 4.7, 4.7, 4.5, 3.4, 3.7, 3.4, 3.9, 3.4, 3.2, 2.8,
    3.4, 3.9, 3.9, 3.4, 2.9, 3.2, 3.1, 3.6, 4.3, 4.7, 5, 5.5, 5, 5.3, 6.1,
    5.9, 5.6, 5.5, 5.5, 5.9, 5.9, 5.5, 6.2, 6.2, 6.2, 5.7, 5.2, 4.8, 4.3,
    4.3, 4.1, 3.9, 3.9, 3.9, 4.8, 5, 4.8, 4.8, 5.7, 6.7, 5.9, 6.2, 6.7, 6.7,
    6.5, 6.5, 6.5, 5.9, 5.5, 4.7, 5, 4.7, 4.8, 4.7, 5, 4.7, 4.3, 4.7, 4.1,
    3.9, 3.2, 2.3, 1.7, 1.9, 2.3, 2.1, 2.8, 3.1, 2.9, 2.3, 2.5, 2.1, 1.1,
    1.4, 1.4, 1.9, 1.9, 1.1, 1.1, 0.8, 1.6, 0.9, 1.4, 0.8, 0.8, 1.1, 0.9,
    0.4, 0.8, 0.4, 0.8, 0.6, 0.9, 0.9, 0.8, 0.9, 0.9, 1.1, 1.4, 1.1, 1.6,
    1.9, 1.1, 1.4, 1.1, 1.6, 1.6, 1.7, 1.4, 0.9, 1.9, 2.3, 1.6, 1.4, 1.7,
    1.6, 1.1, 0.8, 1.4, 1.9, 2.3, 2.1, 1.7, 2.1, 1.4, 1.9, 1.7, 1.9, 1.4,
    0.3, 0.6, 0.6, 1.1, 1.7, 2.5, 2.7, 2.8, 2.9, 2.5, 2.9, 2.9, 2.9, 3.4,
    3.1, 3.2, 3.2, 3.2, 3.6, 4.1, 4.1, 4.1, 4.7, 4.8, 5, 5, 4.5, 4.3, 4.5, 5,
    5.5, 5, 5, 5, 5.3, 6.1, 6.5, 6.2, 6.5, 6.2, 7.1, 7.1, 7.3, 8.2, 8.2, 9.1,
    9.8, 10.5, 10.8, 9.6, 10.2, 9.3, 8.2, 8.2, 8.9, 8.6, 8.6, 8.6, 6.5, 5.9,
    5.9, 6.2, 6.5, 7.1, 6.7, 6.2, 7.3, 8.2, 8.9, 8.6, 9.1, 9.1, 9.6, 10, 9.6,
    9.8, 10.2, 11.3, 13.2, 14.1, 15.2, 16.6, 14.1, 12.7, 12.7, 11.7, 11.3,
    11.3, 12.4, 13.2, 14.1, 12, 13.2, 12, 11.3, 10.5, 10, 8.9, 9.1, 8.9, 8.4,
    8.4, 9.3, 9.6, 8.9, 8.9, 7.5, 6.9, 6.7, 5.7, 5.6, 5.6, 5.9, 6.1, 5.9,
    6.1, 5.9, 5.7, 5.9, 5.5, 5.2, 5.2, 5, 5.2, 5.6, 6.1, 6.1, 5.7, 5.5, 5.3,
    5.7, 5.7, 6.1, 6.7, 7.1, 7.3, 7.3, 7.8, 7.8, 8.6, 8, 7.8, 8.4, 8.6, 7.8,
    7.5, 7.5, 7.3, 7.3, 7.8, 8, 8.6, 7.5, 7.8, 7.5, 7.5, 8.4, 9.3, 9.1, 9.3,
    9.1, 8.2, 8.6, 8.2, 9.3, 9.8, 10.2, 10.4, 11.3, 10.8, 11.3, 10.5, 10.2,
    10, 9.1, 10, 10.2, 9.6, 9.3, 9.3, 8.9, 8.6, 8.9, 8.6, 9.6, 10, 8.9, 8.2,
    8, 6.9, 5.9, 6.2, 6.5, 6.7, 6.5, 7.1, 6.2, 6.5, 7.1, 6.2, 6.7, 6.5, 6.7,
    6.5, 7.1, 8.2, 8.2, 9.6, 10.8, 10.5, 10.8, 11.3, 12, 12.4, 10.8, 11.7,
    12, 10.8, 10.4, 9.8, 9.6, 8.9, 8.2, 7.8, 7.5, 7.8, 8.2, 7.1, 6.7, 6.9,
    6.2, 6.9, 7.1, 6.9, 5.9, 5.6, 5.6, 5.2, 4.8, 4.5, 4.3, 4.1, 4.5, 3.7,
    3.7, 4.3, 4.7, 4.5, 3.6, 4.3, 3.7, 3.1, 3.2, 3.7, 4.5, 4.5, 3.9, 3.1,
    3.1, 2.3, 3.6, 4.1, 4.7, 4.3, 4.8, 3.9, 4.3, 4.1, 4.1, 3.6, 4.5, 4.1,
    4.3, 5.2, 4.5, 3.6, 4.1, 4.3, 3.6, 3.7, 3.7, 3.4, 3.6, 3.9, 4.1, 3.6,
    4.3, 4.7, 5, 3.7, 3.6, 3.1, 2.9, 3.1, 3.6, 4.5, 4.7, 5, 4.8, 4.8, 5, 5.2,
    5.2, 4.5, 3.6, 3.1, 3.1, 3.6, 3.4, 3.6, 3.2, 3.1, 2.9, 2.9, 2.9, 2.9,
    2.5, 1.4, 0.9, 0.6, 1.4, 2.5, 2.3, 2.5, 2.3, 2.3, 1.6, 1.7, 1.7, 1.6,
    2.3, 1.9, 1.6, 2.7, 3.2, 2.9, 3.9, 3.7, 4.5, 4.8, 3.7, 3.4, 3.7, 3.7,
    3.7, 3.9, 4.1, 4.1, 3.6, 3.7, 4.7, 3.9, 3.6, 3.2, 3.4, 3.2, 2.7, 1.9,
    1.6, 1.6, 2.1, 1.9, 1.7, 1.9, 2.7, 2.5, 2.8, 3.4, 2.5, 2.8, 2.7, 2.3,
    1.9, 2.7, 3.4, 2.9, 3.2, 3.2, 3.6, 3.7, 3.6, 3.7, 4.8, 4.1, 5.2, 5, 4.8,
    3.9, 3.2, 3.2, 3.9, 4.1, 3.9, 4.1, 4.1, 4.3, 5, 5.2, 4.8, 5, 4.3, 4.3,
    3.9, 4.7, 5.2, 5, 4.7, 5.5, 5.2, 5.6, 5.9, 5.7, 5.5, 5.7, 5.7, 6.2, 6.1,
    5.5, 4.5, 3.9, 3.7, 3.1, 2.8, 3.6, 3.2, 4.3, 4.7, 5, 5.5, 5.5, 5.3, 5.9,
    6.1, 5.2, 5.3, 5.5, 5.5, 5.7, 5.6, 5.7, 6.5, 6.7, 7.3, 8, 8, 8.4, 8.6, 8,
    8.6, 8.4, 7.8, 8, 6.5, 7.5, 7.1, 7.1, 7.1, 8.4, 7.3, 7.1, 7.5, 6.7, 6.7,
    7.1, 7.1, 7.1, 7.1, 6.5, 6.7, 6.7, 6.7, 6.7, 7.8, 7.5, 8, 7.5, 6.7, 6.7,
    7.1, 7.8, 7.3, 7.8, 7.3, 6.7, 7.8, 7.5, 7.5, 6.5, 6.2, 6.2, 6.5, 6.9,
    7.5, 7.1, 6.9, 7.1, 6.2, 5.7, 4.7, 4.1, 4.3, 3.3 ;

 cloud_cover = 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7,
    7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 1, 1, 1, 2, 2, 3,
    3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7,
    6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 6, 1, 2, 2, 2, 3, 3, 3, 4,
    4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 5, 5, 5, 5, 5, 5, 6,
    6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6,
    6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 7, 8, 6, 0, 0, 1, 1, 2, 2, 2,
    3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6, 6, 6,
    5, 5, 4, 4, 4, 3, 3, 2, 2, 2, 1, 1, 0, 0, 4, 8, 7, 5, 5, 5, 5, 5, 5, 5,
    5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 7, 5, 0, 0, 0, 1, 1, 1, 1,
    1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 7, 8, 6, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 5, 3, 4, 4, 4, 3, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 4, 0, 0, 0, 1, 1, 1, 1,
    1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 0, 0, 0, 5, 6, 6, 6, 6, 6, 6,
    6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 5, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7,
    6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6, 6, 6,
    5, 5, 4, 4, 4, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 4, 2, 3, 3, 3, 3, 3, 3, 3,
    3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 6, 3, 7, 8, 7, 7, 7, 7, 7, 7,
    7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 8, 8, 7, 5, 5, 4, 4, 4, 4,
    4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 2, 7, 8, 8, 8, 4, 4, 4, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 1, 1, 2, 2,
    3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7,
    7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 1, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 8, 7, 3, 4, 4, 4, 4, 5,
    5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 6, 8, 8, 7, 7, 7, 7, 7,
    7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 0, 5, 5, 0, 3, 3, 3, 3, 4, 4, 4,
    4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 8, 3, 3, 3, 8, 5, 6, 6, 6, 6, 6,
    6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 7, 7, 7, 6, 6,
    5, 5, 4, 4, 3, 3, 3, 2, 2, 1, 1, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 1, 1,
    1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 6, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7,
    7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 3, 6, 8, 4, 0, 1, 1, 2, 2, 3,
    3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 1, 2, 5, 1, 1, 1, 1, 1, 1,
    1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 5, 0, 0, 0, 0, 0, 1,
    1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 5, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6,
    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7,
    7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 0, 0, 3, 4, 2, 0, 6, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 0, 0, 7, 7, 4, 4, 4, 4, 4,
    4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 3, 4, 4, 4, 4,
    5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 5, 7, 8, 7, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 7, 8, 6, 6, 6, 7, 7,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 4, 4, 5, 5, 5,
    5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 8, 8,
    8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 6, 8, 6, 8, 7, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 7, 7,
    7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2,
    2, 3, 4, 4, 4, 5, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 1, 2, 6, 1, 5, 4, 4, 4, 3,
    3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 8, 8, 8, 8, 8, 3, 3, 4, 4, 4,
    5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 7, 8, 7, 8, 7, 3, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 0, 0, 0, 0, 3, 6, 6, 6, 6, 6,
    6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 3, 5, 5, 0, 3, 8, 8, 7, 7, 7,
    6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 0, 4, 6, 5, 6, 7, 7, 5, 4, 4, 4, 4,
    4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 4,
    4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 4, 3, 3, 2, 7, 7, 7, 5, 7, 7, 7, 7, 7,
    7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 0, 3, 6, 4, 6, 3, 3, 2, 2, 2,
    2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 5, 8, 8, 8, 7, 8, 8, 8, 8, 7, 7, 6, 6,
    5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 5, 2, 0, 0, 0, 0, 3, 3, 3, 4, 4,
    4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 7, 7, 6, 6, 8, 7, 7, 4, 4, 4, 5, 5,
    5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 8, 8, 8, 7, 7,
    7, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 7, 6, 5, 7, 7, 7, 6, 5, 6, 8, 7, 7, 6,
    6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 4, 0, 0, 0, 0, 0, 0, 2, 4, 4, 5, 5, 5,
    5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 5, 7, 3, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2,
    2, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7,
    6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 7, 7, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 7, 8, 5, 7, 7, 7, 7,
    7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 8, 4, 8, 8, 8, 8, 6, 5, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 4, 7, 6, 6, 6, 4, 5, 7, 2, 3, 3, 3,
    4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 3, 7, 7, 7, 7,
    7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7,
    7, 7, 6, 6, 6, 6, 5, 5, 5, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 1, 5, 4, 4, 4,
    3, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 2, 3, 5, 5, 5, 3, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 6, 5, 5, 3, 5, 0, 2, 2, 3, 3,
    4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 4, 8, 8, 8, 6, 5, 4, 2, 0, 5, 7, 7, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 6, 6, 6, 0, 0, 8, 7, 7, 6,
    6, 5, 4, 4, 3, 2, 2, 1, 1, 0, 4, 0, 5, 8, 8, 7, 8, 8, 6, 0, 2, 2, 2, 1,
    1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 4, 5, 7, 8, 6, 8, 7, 4, 6, 5, 6, 6, 6, 6,
    6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 0, 6, 5, 3, 4, 3, 7, 5, 5, 5, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 6, 2, 4, 4, 3, 6, 8, 7, 7, 7, 7, 7, 7,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 6, 6, 5, 7, 7, 5, 2, 2, 2, 3, 3,
    4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6,
    6, 5, 4, 4, 3, 2, 2, 1, 1, 0, 3, 6, 2, 4, 3, 5, 7, 5, 7, 7, 7, 7, 7, 7,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 6, 5, 6, 7, 7, 5, 5, 4, 4,
    4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 8, 8, 7, 7, 0, 5, 5, 5, 5,
    5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 8, 7, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 6,
    6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6,
    5, 5, 4, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3,
    3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 7, 0, 0, 3, 0, 3, 6, 5, 4, 6, 6, 7, 7,
    7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7,
    6, 5, 5, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 3, 4, 2, 2, 0, 5, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 1, 0, 0, 2, 3, 0, 0, 4, 0, 0, 0, 1,
    1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 7, 6, 6, 3, 5, 6, 7, 6, 0, 0, 4, 0, 1, 1,
    2, 2, 3, 3, 4, 4, 5, 6, 6, 7, 4, 4, 3, 4, 5, 5, 5, 4, 5, 5, 7, 4, 4, 4,
    4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 3, 2, 8, 8, 8,
    8, 7, 7, 7, 7, 7, 7, 7, 7, 6, 0, 5, 4, 2, 6, 8, 7, 8, 8, 6, 8, 8, 7, 7,
    6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 7, 5, 4, 6, 3, 6, 8, 8, 8, 8, 8, 7, 7, 6,
    6, 5, 4, 4, 3, 2, 2, 1, 1, 0, 6, 6, 8, 7, 7, 5, 4, 3, 0, 7, 8, 7, 7, 7,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 8, 7, 6, 5, 7, 8, 8, 8, 7, 3, 6, 0, 1, 1,
    2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8, 8, 7, 6, 4, 6, 7, 5, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 5, 6, 5, 6, 7, 6, 8, 8, 7, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 8, 8, 8, 8, 8, 6, 7, 8, 8, 7, 7, 7,
    7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 6, 8, 8, 8, 7, 8, 8, 6, 5, 6, 0, 3, 3, 3,
    4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7,
    7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 5, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 6,
    6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 6, 3, 6, 8, 8, 7, 8, 3, 4, 5, 5, 6,
    6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 7, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 4, 7, 5, 6, 6, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8, 8, 7, 7, 4, 0, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7,
    7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 7, 7, 7, 7, 6, 8, 8, 6, 7, 7, 5, 0, 0, 1,
    1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 6, 3, 3, 5, 7, 8, 7, 8, 8, 8, 8, 7, 7, 7,
    6, 6, 5, 5, 5, 4, 4, 3, 3, 2, 7, 5, 4, 3, 6, 4, 6, 6, 5, 5, 7, 4, 4, 3,
    3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 3, 2, 3, 0, 1, 1, 0, 0, 0, 0, 1,
    1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 4, 3, 3, 3, 4, 3, 3, 3, 5, 3, 7, 7, 6,
    6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 2, 5, 5, 5, 4, 4, 1, 0, 0, 4, 4, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 3, 3,
    4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 6, 2, 3, 6, 8, 8, 8, 8, 8, 7, 3, 6, 6, 6,
    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 7, 7,
    6, 5, 5, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 3, 0, 2, 5, 4, 4,
    3, 3, 3, 2, 2, 2, 1, 1, 0, 0, 0, 3, 2, 4, 4, 3, 4, 2, 1, 4, 5, 0, 1, 1,
    2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 6, 5, 0, 0, 6, 6, 5, 5, 6, 4, 5, 7, 7, 7,
    7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 4, 6, 8, 4, 2, 5, 8, 8, 7, 7, 4, 5, 5,
    5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 7, 6, 7, 6, 5, 3, 5, 6, 8, 8, 7, 5, 5, 5,
    5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 7, 6, 8, 8, 8, 6, 4, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7,
    7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 0, 0, 3, 3, 4, 5, 5, 6, 4, 4, 0, 4, 4, 3,
    3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 4, 6, 4, 3, 2, 2, 2, 0, 0, 0, 3, 6, 6, 6,
    6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 6, 7, 7, 8, 7, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 4, 6, 6, 7, 5, 3, 0, 2, 2, 3,
    3, 4, 4, 6, 6, 6, 6, 6, 6, 6, 5, 2, 3, 2, 2, 3, 0, 0, 0, 4, 0, 6, 6, 6,
    6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 4, 5, 7, 4, 5, 5, 4, 4, 0, 1, 1,
    2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 8, 7, 7, 7, 8, 4, 4, 7, 7, 5, 3, 7, 7, 7,
    7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 6, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7,
    6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 2, 2, 2, 0, 4, 3, 0, 0, 1,
    1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 3, 5, 2, 4, 2, 2, 0, 2, 4, 4, 7, 4, 4, 4,
    5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7,
    7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7,
    6, 5, 5, 4, 3, 3, 2, 1, 1, 0, 2, 0, 4, 4, 2, 3, 3, 0, 0, 0, 5, 5, 5, 5,
    5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 5, 4, 4, 6, 3, 2, 3, 0, 0, 1, 1,
    2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 5, 7, 6, 6, 7,
    7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 7, 7,
    6, 5, 5, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 3,
    3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 7, 0, 6, 7, 8, 8, 8, 8, 8, 8, 5, 0, 1, 1,
    2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7,
    7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 6, 5, 8, 8, 8,
    7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 4, 7, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 6, 7,
    7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 4, 3, 5, 5, 6, 5, 3, 2, 2, 4, 4, 7, 7, 7,
    7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 6, 7, 8, 8, 8, 8, 8, 7,
    7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 2, 4, 5, 5, 3, 3, 4, 4, 4, 3, 1, 6, 6, 6,
    6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 2, 3, 2, 0, 0, 0, 0, 1,
    1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 3, 1, 0, 1, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 5, 4, 4, 6, 6, 5,
    5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 4, 0, 3, 1, 3, 0, 0, 0, 0, 0, 0, 1, 1, 2,
    2, 3, 3, 4, 4, 5, 6, 6, 7, 7, 7, 7, 6, 6, 4, 3, 5, 6, 6, 2, 7, 7, 6, 5,
    5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 3, 2, 3, 3, 5, 0, 0, 0, 1, 1, 2,
    2, 3, 4, 4, 5, 6, 6, 7, 7, 8, 5, 7, 5, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 2, 0, 6, 4, 4, 4, 5,
    5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 4, 7, 8, 8, 6, 0, 0, 6, 6, 6, 6,
    7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 5, 5, 6, 6,
    6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 7, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 7, 7,
    7, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 6, 7, 8, 8, 7, 7, 5, 7, 2, 1, 1, 1, 2,
    2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 8, 6, 7, 8, 7, 8, 7, 5, 4, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6,
    6, 5, 5, 4, 3, 3, 2, 2, 1, 1, 0, 0, 5, 4, 3, 6, 5, 6, 7, 7, 6, 7, 7, 7,
    7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7,
    7, 7, 6, 6, 6, 6, 5, 5, 5, 4, 4, 1, 2, 4, 5, 3, 1, 0, 0, 4, 6, 6, 7, 7,
    7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 7, 6, 6, 6,
    6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 3, 1, 1, 0, 1, 0, 0, 5, 5, 5, 5,
    5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 7, 6, 1, 2, 1, 3, 0, 0, 5, 0, 1, 1, 2,
    2, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 6, 8, 7, 6, 2, 3, 0, 0, 0, 0, 1, 1, 2,
    2, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 7, 7, 4, 7, 5, 7, 6, 3, 3, 3, 4,
    4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 7, 7, 8, 8, 8, 4, 8, 8, 8, 7, 7, 7, 7,
    7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6,
    6, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 7, 5, 2, 4, 5, 6, 3, 7, 7, 8, 7, 7, 6,
    6, 5, 5, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2,
    2, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 7, 3, 6, 7, 0, 0, 6, 7, 6, 6, 6, 6,
    6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 5, 4, 6, 5, 5, 5, 7, 7, 7, 7, 7, 7,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 3, 2, 5, 6, 4, 3, 4, 4, 4, 4, 5, 5,
    5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 8, 8, 8, 3, 0, 6, 4, 4, 5, 5, 5,
    5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 7, 7, 7,
    7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6, 6,
    5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 6, 2, 4, 7, 8, 8, 6, 5, 5, 5, 4,
    4, 3, 3, 3, 2, 2, 2, 1, 1, 0, 0, 7, 7, 6, 6, 0, 6, 6, 4, 5, 5, 5, 5, 5,
    5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 8, 8, 6, 6, 4, 6, 8, 8, 7, 7, 7, 7, 7,
    7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 7, 7, 7, 5, 7, 8, 8, 7, 7, 6, 6,
    5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 3, 3,
    3, 3, 2, 2, 2, 1, 1, 1, 1, 0, 0, 5, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1,
    1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 6, 4, 4, 7, 7, 7, 7, 7, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 7, 7, 7, 7, 7,
    7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 7, 8, 8, 7, 7, 7,
    7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 5, 2, 5, 5, 7, 7, 7, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6,
    6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 1, 6, 5, 0, 0, 3, 4, 0, 2, 2, 2, 3, 3,
    3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 4, 5, 3, 0, 5, 5, 0, 0, 0, 0, 1, 1,
    1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 7, 7, 8, 8, 7, 8, 8, 5, 5, 5, 5, 5,
    4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 0, 2, 6, 5, 0, 0, 0, 6, 6, 5, 5, 5,
    4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 0, 0, 7, 8, 8, 8, 8, 8, 5, 5, 5, 5, 6, 6,
    6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 0, 0, 0, 5, 2, 7, 7, 7, 7, 7, 7,
    7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 3, 5, 7, 7, 8, 8, 8, 8, 8, 7, 7,
    7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 0, 0, 3, 4, 5, 4, 4, 4, 5, 5, 5, 5,
    5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 5, 5, 3, 5, 6, 6, 6, 7, 7, 7,
    7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 5, 1, 4, 7, 3, 6, 6, 6, 6, 6, 6,
    6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1,
    1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 6, 7, 5, 5, 6, 6, 7, 7, 7, 7,
    7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 6, 3, 6, 7, 7, 7, 7, 7,
    7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6, 6, 5, 5,
    5, 4, 4, 3, 3, 2, 2, 2, 1, 1, 0, 0, 6, 5, 4, 7, 7, 6, 1, 1, 2, 2, 3, 3,
    3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 4, 8, 8, 7, 3, 3, 3, 3, 3, 3,
    3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7,
    7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 2, 2, 3, 3, 3, 4,
    4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 4, 7, 7, 8, 8, 5, 5, 6, 6, 6, 6,
    6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 4, 1, 7, 8, 8, 8, 8, 8, 8, 7,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 3, 4, 5, 7, 4, 5, 5, 5, 5, 5, 6,
    6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 4, 3, 3, 3, 3, 2, 2, 2,
    2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 3, 3, 3, 4,
    4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 4, 6, 2, 2, 2, 2, 3, 3, 3,
    4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 6, 8, 8, 8, 8, 8, 7, 7, 7, 7,
    6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 5, 7, 7, 7, 0, 0, 0, 1, 1, 1, 1,
    1, 1, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 3, 7, 7, 7, 7, 7, 7, 7, 7,
    7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 7, 4, 2, 2, 3, 3, 3, 4, 4, 4,
    4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 7, 6, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 6, 6, 5,
    5, 5, 4, 4, 3, 3, 3, 2, 2, 1, 1, 0, 0, 5, 0, 0, 3, 4, 4, 4, 3, 3, 3, 3,
    3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 7, 8, 6, 2, 4, 4, 4, 4, 4, 4, 4,
    5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 8, 7, 7, 8, 4, 4, 5, 5, 5, 5, 5,
    6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 8, 7, 7, 4, 4, 4, 4, 4, 4, 5,
    5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 1, 0, 4, 7, 7, 7, 7, 7, 7, 7,
    7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 6, 3, 0, 4, 4, 4, 5, 5, 5, 5,
    5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 6, 6,
    6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1,
    1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, 1, 1, 1, 1,
    1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 8, 6, 4, 4, 4, 4, 4, 5, 5, 5,
    5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 0, 1, 2, 2, 2, 2, 2, 2, 3,
    3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 2, 0, 1, 1, 1, 2, 2, 3, 3,
    3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7,
    7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 7, 8, 8, 8, 7, 7, 7, 7, 7,
    7, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 7, 7, 6, 6, 6, 5,
    5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 0, 0, 3, 8, 8, 8, 8, 7, 7, 7, 7, 7,
    6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 8, 5, 3, 3, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1,
    1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 7, 5, 4, 4, 4, 4, 5, 5, 5, 5,
    5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 1, 4, 4, 4, 4, 4, 5, 5, 5,
    5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 0, 4, 4, 4, 4, 5, 5, 5, 5,
    5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7,
    7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 6, 6, 6,
    6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 0, 3, 3, 3, 4, 4, 4, 4, 4,
    5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 6,
    6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 2, 3, 4, 4, 4, 4, 4, 5, 5,
    5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 5, 5, 5, 6, 6, 6, 6, 6,
    6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 6,
    6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 7, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
    8, 8, 8, 8 ;

 wind_direction = 263, 252, 249, 265, 263, 252, 276, 237, 259, 298, 185, 271,
    235, 193, 190, 266, 171, 245, 187, 236, 249, 210, 265, 216, 247, 220,
    235, 155, 187, 170, 232, 164, 264, 271, 237, 256, 266, 241, 240, 247,
    246, 276, 242, 258, 243, 245, 267, 323, 299, 305, 302, 306, 309, 306,
    308, 300, 306, 282, 238, 250, 270, 239, 280, 249, 277, 249, 120, 112,
    239, 223, 175, 205, 188, 240, 212, 153, 122, 65, 168, 281, 273, 261, 274,
    261, 262, 258, 257, 269, 267, 227, 265, 245, 259, 272, 277, 256, 244,
    174, 97, 231, 240, 178, 190, 181, 277, 235, 265, 245, 257, 264, 259, 273,
    281, 236, 163, 162, 254, 194, 170, 213, 183, 105, 136, 139, 118, 102,
    169, 138, 99, 160, 259, 261, 204, 120, 91, 73, 109, 255, 266, 260, 258,
    254, 243, 255, 301, 304, 309, 333, 273, 301, 308, 302, 270, 292, 272,
    318, 237, 280, 266, 245, 260, 257, 236, 267, 268, 242, 262, 275, 285,
    235, 279, 264, 236, 249, 303, 302, 304, 268, 241, 238, 265, 163, 116,
    194, 242, 234, 170, 212, 248, 221, 116, 115, 63, 166, 133, 125, 100, 144,
    233, 166, 165, 195, 165, 151, 196, 266, 263, 234, 240, 245, 153, 108,
    182, 166, 181, 219, 258, 216, 174, 267, 281, 229, 237, 222, 246, 236,
    105, 87, 115, 84, 97, 356, 358, 40, 348, 353, 0, 83, 235, 213, 192, 188,
    199, 190, 221, 161, 129, 110, 162, 61, 77, 131, 188, 168, 272, 92, 63,
    54, 358, 72, 55, 132, 145, 113, 87, 48, 40, 109, 174, 222, 206, 171, 242,
    262, 235, 285, 245, 235, 266, 220, 272, 273, 252, 186, 271, 259, 263,
    287, 319, 310, 284, 243, 251, 284, 251, 163, 184, 240, 218, 198, 234,
    263, 249, 283, 229, 275, 265, 119, 167, 235, 263, 158, 227, 271, 241,
    273, 260, 238, 314, 307, 287, 285, 262, 239, 291, 311, 299, 313, 271,
    240, 254, 271, 248, 248, 274, 266, 241, 256, 232, 212, 111, 110, 103,
    130, 85, 170, 223, 259, 264, 251, 248, 222, 132, 114, 77, 102, 7, 82, 49,
    101, 130, 125, 114, 162, 276, 262, 246, 262, 239, 243, 187, 253, 265,
    211, 237, 281, 190, 252, 267, 245, 219, 283, 244, 239, 259, 226, 223,
    231, 238, 261, 247, 238, 248, 215, 160, 268, 205, 215, 201, 131, 119,
    123, 217, 254, 255, 261, 186, 129, 185, 173, 233, 243, 258, 256, 265,
    248, 254, 254, 258, 237, 96, 126, 190, 96, 67, 127, 101, 120, 63, 99, 73,
    95, 56, 340, 86, 183, 149, 111, 103, 81, 129, 127, 91, 70, 107, 95, 82,
    74, 138, 131, 71, 136, 54, 77, 98, 61, 75, 124, 114, 140, 190, 231, 261,
    246, 246, 172, 213, 246, 241, 237, 131, 132, 65, 58, 72, 147, 217, 204,
    215, 231, 273, 280, 247, 203, 199, 133, 110, 114, 90, 52, 93, 50, 45,
    340, 330, 352, 52, 109, 67, 89, 75, 49, 71, 103, 37, 51, 78, 104, 80, 78,
    114, 249, 264, 267, 267, 237, 253, 249, 258, 244, 260, 258, 169, 129,
    148, 174, 266, 235, 227, 202, 265, 274, 250, 262, 264, 224, 283, 254,
    276, 266, 254, 280, 266, 262, 280, 273, 302, 317, 297, 317, 300, 311,
    312, 295, 290, 308, 310, 297, 322, 285, 231, 281, 240, 325, 306, 311,
    308, 300, 252, 245, 268, 273, 255, 265, 265, 286, 261, 268, 252, 262,
    252, 252, 262, 265, 263, 261, 280, 287, 223, 236, 253, 240, 239, 264,
    274, 284, 241, 283, 256, 255, 263, 236, 277, 268, 252, 263, 246, 246,
    244, 231, 279, 244, 238, 168, 238, 153, 222, 225, 102, 134, 110, 114,
    177, 237, 226, 225, 107, 146, 95, 66, 77, 35, 30, 83, 346, 18, 89, 337,
    345, 359, 34, 59, 348, 348, 359, 100, 57, 343, 68, 59, 74, 67, 57, 81,
    351, 343, 11, 54, 50, 115, 179, 185, 218, 193, 154, 243, 275, 228, 94,
    159, 262, 222, 256, 231, 178, 221, 122, 171, 267, 232, 190, 165, 178,
    220, 237, 260, 241, 243, 265, 267, 207, 239, 275, 240, 269, 164, 131, 48,
    65, 116, 133, 147, 279, 230, 270, 224, 263, 234, 244, 250, 267, 246, 281,
    269, 239, 256, 189, 237, 231, 164, 250, 91, 178, 110, 261, 231, 237, 233,
    271, 196, 258, 240, 247, 249, 281, 239, 261, 260, 277, 275, 217, 225,
    263, 250, 246, 183, 179, 200, 132, 208, 245, 236, 189, 198, 168, 185, 36,
    115, 114, 230, 220, 232, 241, 237, 251, 262, 236, 315, 321, 296, 241,
    243, 250, 264, 266, 252, 275, 295, 259, 244, 268, 322, 319, 312, 309,
    303, 316, 246, 273, 262, 251, 266, 265, 247, 151, 33, 143, 209, 225, 223,
    247, 239, 174, 193, 244, 274, 214, 172, 46, 97, 13, 2, 123, 190, 201,
    246, 156, 237, 130, 212, 221, 191, 94, 248, 188, 180, 249, 326, 322, 288,
    200, 186, 192, 218, 208, 217, 149, 130, 350, 343, 347, 44, 53, 116, 90,
    51, 151, 188, 248, 255, 271, 256, 255, 258, 257, 254, 247, 253, 274, 238,
    268, 109, 171, 169, 44, 94, 13, 338, 84, 90, 99, 134, 111, 253, 230, 233,
    229, 264, 321, 258, 245, 239, 229, 246, 216, 113, 239, 241, 167, 43, 193,
    187, 169, 235, 196, 266, 237, 258, 182, 274, 257, 269, 256, 266, 277,
    198, 166, 97, 126, 111, 165, 190, 258, 248, 263, 265, 236, 258, 260, 321,
    327, 311, 319, 291, 298, 311, 297, 302, 313, 312, 306, 306, 311, 304,
    300, 303, 301, 318, 328, 315, 300, 316, 315, 318, 304, 324, 315, 303,
    318, 313, 304, 235, 309, 263, 254, 294, 230, 222, 259, 239, 275, 259,
    253, 247, 256, 250, 271, 279, 277, 285, 252, 262, 232, 259, 254, 271,
    244, 258, 239, 262, 241, 233, 184, 91, 36, 329, 67, 31, 112, 108, 42,
    187, 234, 226, 244, 250, 114, 171, 113, 185, 258, 227, 241, 293, 264,
    254, 235, 192, 172, 37, 129, 37, 173, 105, 72, 39, 38, 122, 238, 243,
    249, 192, 223, 228, 274, 142, 209, 197, 178, 166, 96, 163, 59, 55, 194,
    207, 121, 108, 73, 131, 169, 189, 246, 175, 44, 103, 359, 59, 53, 79,
    167, 201, 207, 260, 222, 121, 212, 239, 208, 160, 224, 245, 272, 274,
    249, 323, 313, 326, 249, 224, 267, 254, 264, 244, 280, 240, 273, 249,
    277, 248, 257, 254, 266, 253, 249, 119, 110, 35, 92, 20, 101, 220, 220,
    208, 256, 242, 250, 277, 307, 282, 303, 310, 302, 241, 267, 277, 244,
    318, 255, 252, 278, 282, 225, 256, 318, 256, 220, 254, 316, 325, 256,
    268, 243, 258, 258, 246, 134, 132, 233, 41, 138, 242, 257, 178, 116, 123,
    57, 179, 243, 145, 62, 171, 168, 197, 253, 261, 316, 320, 323, 320, 267,
    266, 278, 262, 225, 196, 228, 245, 194, 247, 227, 272, 221, 234, 242,
    224, 251, 252, 289, 269, 181, 239, 168, 115, 341, 356, 348, 348, 341,
    343, 339, 38, 48, 31, 162, 191, 252, 140, 189, 168, 172, 186, 231, 243,
    242, 254, 204, 240, 197, 238, 221, 267, 269, 289, 274, 218, 243, 237,
    182, 244, 205, 233, 228, 236, 255, 69, 122, 125, 130, 80, 87, 127, 105,
    220, 212, 226, 249, 286, 327, 309, 322, 312, 287, 320, 260, 252, 269,
    263, 159, 237, 226, 173, 103, 53, 339, 77, 183, 262, 276, 248, 252, 268,
    275, 172, 119, 126, 185, 258, 234, 205, 229, 191, 158, 243, 241, 226,
    226, 150, 150, 196, 232, 258, 262, 279, 245, 267, 263, 243, 225, 235,
    143, 104, 113, 87, 40, 353, 61, 87, 23, 91, 5, 37, 58, 77, 164, 178, 100,
    98, 187, 183, 232, 223, 253, 238, 180, 174, 173, 266, 240, 276, 223, 270,
    234, 273, 217, 222, 285, 258, 242, 188, 247, 146, 189, 41, 110, 358, 341,
    73, 343, 348, 92, 86, 115, 74, 181, 120, 38, 50, 133, 125, 110, 131, 121,
    343, 65, 46, 69, 111, 67, 116, 190, 134, 45, 182, 225, 247, 209, 235,
    187, 217, 231, 205, 236, 229, 232, 242, 253, 176, 165, 193, 234, 185,
    102, 108, 80, 35, 33, 42, 181, 175, 179, 257, 249, 238, 225, 254, 272,
    57, 81, 99, 93, 155, 43, 59, 81, 99, 144, 199, 246, 256, 230, 229, 166,
    252, 242, 242, 264, 272, 250, 195, 227, 193, 256, 202, 184, 189, 187,
    168, 87, 86, 91, 276, 274, 264, 231, 156, 145, 227, 266, 239, 283, 246,
    231, 295, 251, 261, 266, 289, 232, 253, 255, 269, 261, 242, 281, 251,
    209, 133, 60, 148, 128, 231, 248, 186, 198, 159, 167, 197, 229, 197, 211,
    223, 257, 280, 260, 249, 280, 237, 259, 238, 165, 149, 245, 253, 297,
    271, 244, 278, 259, 224, 171, 81, 81, 99, 117, 90, 109, 77, 250, 201,
    243, 250, 228, 218, 162, 122, 122, 156, 201, 275, 257, 262, 146, 134,
    178, 172, 186, 212, 255, 296, 301, 268, 242, 294, 323, 317, 286, 298,
    248, 208, 285, 268, 269, 262, 267, 288, 327, 329, 309, 290, 304, 289,
    224, 241, 315, 328, 343, 334, 318, 308, 334, 288, 298, 284, 259, 254,
    266, 261, 163, 273, 269, 264, 115, 167, 240, 224, 208, 244, 268, 220,
    222, 242, 277, 277, 248, 234, 290, 271, 295, 304, 319, 283, 300, 296,
    319, 320, 326, 302, 302, 305, 332, 334, 324, 273, 273, 277, 268, 242,
    287, 278, 293, 201, 245, 222, 260, 254, 270, 248, 242, 249, 260, 253,
    251, 231, 189, 144, 252, 253, 235, 121, 103, 282, 268, 246, 257, 215,
    158, 235, 230, 174, 256, 233, 268, 281, 224, 231, 103, 215, 165, 282,
    199, 209, 255, 198, 228, 186, 184, 257, 235, 260, 186, 142, 201, 237,
    215, 175, 105, 136, 141, 222, 237, 277, 263, 230, 203, 268, 204, 92, 110,
    160, 91, 150, 172, 99, 139, 168, 217, 236, 300, 189, 263, 270, 244, 248,
    264, 189, 218, 226, 120, 89, 163, 158, 221, 194, 198, 234, 254, 253, 237,
    170, 232, 253, 211, 277, 252, 277, 192, 154, 175, 222, 238, 143, 164,
    197, 215, 244, 278, 244, 297, 242, 234, 299, 249, 277, 256, 290, 260,
    224, 219, 216, 204, 169, 171, 73, 85, 97, 71, 99, 147, 163, 123, 140,
    175, 144, 179, 263, 212, 265, 287, 242, 268, 230, 257, 274, 255, 288,
    291, 288, 260, 270, 283, 255, 163, 213, 260, 185, 190, 160, 74, 175, 207,
    156, 93, 307, 325, 74, 96, 147, 96, 131, 93, 165, 280, 199, 251, 288,
    149, 146, 91, 207, 226, 216, 225, 165, 167, 209, 207, 167, 116, 161, 266,
    236, 244, 207, 232, 120, 130, 140, 161, 173, 97, 34, 93, 49, 340, 340,
    338, 335, 341, 329, 49, 43, 41, 305, 349, 343, 339, 324, 66, 77, 155, 98,
    97, 129, 152, 72, 139, 139, 165, 127, 170, 79, 71, 66, 62, 61, 329, 98,
    94, 78, 321, 348, 336, 350, 329, 338, 334, 325, 333, 40, 127, 61, 225,
    148, 79, 335, 75, 100, 72, 145, 124, 149, 91, 153, 154, 62, 72, 147, 122,
    111, 226, 288, 262, 199, 243, 171, 275, 281, 190, 227, 252, 289, 289,
    215, 250, 227, 257, 202, 169, 167, 63, 132, 45, 90, 164, 231, 223, 171,
    249, 238, 131, 113, 156, 147, 261, 260, 237, 243, 276, 192, 137, 223,
    214, 269, 230, 254, 252, 266, 148, 238, 164, 242, 232, 243, 273, 255,
    235, 227, 288, 296, 334, 298, 251, 309, 322, 297, 250, 300, 261, 244,
    248, 297, 283, 207, 241, 270, 218, 242, 250, 253, 259, 282, 209, 243,
    212, 193, 105, 159, 190, 183, 218, 237, 264, 241, 161, 166, 159, 215,
    234, 248, 219, 243, 277, 225, 208, 163, 108, 84, 142, 136, 141, 69, 111,
    82, 87, 98, 315, 338, 62, 72, 158, 118, 152, 97, 164, 209, 256, 260, 280,
    198, 182, 151, 94, 77, 100, 80, 75, 62, 43, 36, 101, 69, 73, 150, 135,
    143, 51, 77, 48, 53, 35, 95, 154, 112, 341, 348, 329, 328, 348, 331, 53,
    39, 92, 68, 128, 180, 109, 171, 157, 158, 147, 108, 190, 212, 261, 206,
    222, 266, 254, 248, 248, 273, 252, 244, 282, 277, 270, 269, 233, 245,
    190, 189, 124, 225, 176, 226, 270, 259, 248, 248, 225, 237, 267, 164,
    233, 288, 231, 283, 227, 247, 193, 193, 132, 156, 85, 168, 84, 60, 126,
    156, 155, 211, 274, 249, 146, 210, 248, 250, 237, 212, 181, 139, 120,
    226, 165, 162, 163, 111, 141, 71, 140, 113, 285, 220, 259, 234, 262, 264,
    222, 183, 219, 255, 294, 252, 195, 164, 162, 272, 273, 297, 256, 248,
    281, 236, 246, 235, 297, 312, 314, 326, 303, 307, 342, 229, 296, 317,
    291, 287, 303, 229, 245, 257, 265, 256, 262, 278, 234, 260, 255, 171,
    241, 261, 253, 133, 234, 224, 210, 233, 224, 230, 109, 122, 198, 100, 81,
    9, 82, 104, 80, 13, 344, 344, 348, 341, 347, 351, 339, 357, 351, 340,
    340, 341, 350, 356, 4, 353, 12, 7, 8, 86, 90, 69, 112, 107, 159, 122, 61,
    88, 104, 121, 87, 116, 164, 285, 227, 232, 223, 159, 161, 106, 92, 80,
    100, 110, 134, 126, 114, 64, 115, 99, 88, 182, 153, 114, 101, 247, 115,
    102, 87, 89, 129, 246, 188, 118, 89, 102, 89, 86, 128, 190, 247, 257,
    265, 259, 259, 222, 230, 297, 274, 304, 231, 273, 287, 268, 245, 228,
    280, 258, 311, 311, 316, 331, 309, 289, 282, 305, 317, 311, 306, 331,
    311, 274, 284, 329, 307, 252, 302, 234, 245, 265, 230, 222, 272, 227, 78,
    189, 223, 254, 225, 257, 250, 229, 263, 286, 232, 227, 268, 263, 273,
    233, 271, 232, 247, 229, 273, 273, 225, 262, 286, 203, 269, 216, 168,
    107, 94, 85, 77, 110, 18, 356, 345, 348, 17, 336, 9, 346, 348, 341, 26,
    80, 74, 49, 140, 112, 219, 248, 265, 234, 196, 187, 198, 251, 250, 269,
    235, 271, 257, 259, 256, 285, 322, 304, 308, 324, 293, 291, 300, 274,
    239, 256, 235, 232, 258, 196, 251, 229, 272, 211, 243, 252, 231, 246,
    126, 122, 212, 116, 119, 72, 107, 92, 115, 229, 191, 208, 216, 101, 128,
    133, 141, 110, 115, 87, 87, 56, 96, 122, 260, 270, 291, 260, 286, 311,
    252, 252, 232, 203, 133, 219, 237, 206, 231, 259, 166, 111, 253, 250,
    192, 196, 212, 205, 237, 275, 231, 202, 231, 188, 232, 180, 256, 233,
    198, 245, 221, 227, 247, 254, 248, 268, 185, 257, 240, 251, 274, 294,
    284, 258, 275, 229, 256, 166, 106, 205, 265, 283, 303, 244, 275, 260,
    266, 202, 257, 292, 253, 230, 249, 284, 260, 208, 169, 165, 267, 266,
    234, 234, 247, 309, 260, 239, 209, 149, 102, 75, 64, 194, 160, 263, 257,
    253, 269, 227, 251, 265, 265, 272, 210, 269, 304, 250, 257, 252, 244,
    249, 182, 66, 98, 96, 39, 56, 179, 160, 275, 204, 218, 143, 275, 240,
    281, 274, 265, 257, 257, 287, 336, 321, 329, 319, 304, 324, 296, 273,
    310, 323, 314, 327, 258, 245, 289, 296, 274, 284, 258, 261, 268, 273,
    266, 268, 290, 265, 268, 218, 168, 183, 156, 198, 167, 67, 114, 94, 97,
    212, 160, 192, 256, 228, 249, 254, 266, 277, 227, 262, 270, 301, 315,
    325, 316, 304, 305, 282, 250, 282, 254, 258, 200, 273, 241, 265, 330,
    324, 292, 327, 332, 302, 297, 283, 230, 276, 163, 102, 194, 228, 193,
    231, 216, 263, 108, 107, 115, 171, 155, 96, 127, 272, 244, 134, 218, 253,
    261, 256, 236, 255, 302, 296, 287, 290, 237, 256, 214, 221, 277, 236,
    229, 241, 251, 258, 252, 264, 217, 200, 110, 240, 225, 196, 236, 228,
    182, 233, 213, 224, 267, 170, 253, 212, 175, 99, 120, 223, 267, 225, 233,
    217, 232, 286, 287, 251, 259, 254, 251, 254, 287, 293, 242, 276, 251,
    237, 266, 237, 243, 251, 282, 261, 305, 324, 309, 320, 311, 301, 291,
    322, 319, 325, 335, 286, 246, 276, 257, 185, 146, 174, 275, 219, 240,
    116, 131, 2, 100, 21, 18, 53, 106, 342, 8, 347, 2, 355, 6, 353, 12, 51,
    63, 177, 118, 120, 49, 120, 96, 111, 88, 154, 237, 153, 113, 209, 246,
    281, 228, 201, 157, 250, 241, 270, 265, 264, 292, 276, 235, 203, 203,
    114, 127, 121, 170, 226, 97, 166, 147, 187, 182, 199, 277, 226, 153, 77,
    49, 130, 127, 89, 70, 16, 138, 108, 239, 230, 241, 98, 225, 256, 233,
    240, 223, 245, 231, 283, 261, 238, 292, 250, 266, 261, 270, 222, 238,
    254, 275, 267, 262, 246, 292, 124, 240, 270, 257, 265, 232, 166, 196,
    258, 247, 260, 249, 210, 66, 111, 98, 130, 117, 158, 95, 94, 115, 107,
    81, 84, 114, 54, 104, 139, 71, 337, 318, 83, 75, 90, 122, 236, 209, 251,
    271, 263, 246, 262, 248, 261, 257, 250, 262, 243, 240, 214, 271, 203,
    242, 214, 227, 249, 232, 222, 246, 254, 329, 334, 268, 288, 266, 251,
    255, 227, 286, 283, 268, 243, 198, 265, 253, 252, 304, 273, 247, 289,
    255, 190, 180, 241, 263, 235, 186, 281, 350, 294, 226, 262, 286, 283,
    264, 229, 188, 195, 189, 224, 276, 214, 204, 114, 213, 274, 276, 268,
    258, 271, 268, 267, 180, 149, 123, 160, 225, 207, 241, 350, 262, 323,
    255, 260, 268, 247, 259, 252, 295, 290, 256, 333, 303, 293, 298, 307,
    327, 265, 232, 275, 188, 65, 118, 70, 346, 4, 348, 347, 3, 71, 3, 31,
    322, 14, 349, 320, 352, 14, 67, 146, 207, 250, 244, 261, 293, 265, 272,
    254, 237, 283, 307, 314, 291, 283, 289, 279, 233, 208, 172, 203, 262,
    226, 241, 263, 223, 201, 235, 182, 253, 243, 253, 194, 197, 249, 299,
    277, 265, 259, 249, 278, 204, 263, 226, 282, 330, 280, 272, 275, 294,
    285, 290, 287, 269, 288, 291, 282, 272, 286, 294, 274, 279, 282, 281,
    292, 288, 285, 289, 290, 279, 284, 271, 303, 292, 291, 293, 285, 285,
    271, 298, 231, 253, 267, 223, 226, 211, 192, 185, 148, 128, 72, 65, 73,
    182, 213, 256, 264, 266, 201, 237, 275, 235, 278, 242, 249, 246, 222,
    261, 248, 249, 262, 255, 262, 300, 255, 278, 164, 189, 284, 274, 251,
    324, 255, 233, 323, 225, 309, 315, 295, 257, 276, 266, 272, 232, 259,
    251, 292, 282, 264, 300, 297, 292, 272, 213, 235, 268, 167, 181, 125,
    220, 88, 124, 143, 262, 266, 266, 242, 184, 146, 105, 219, 94, 179, 256,
    233, 167, 188, 219, 144, 182, 106, 87, 216, 118, 105, 122, 66, 17, 348,
    348, 348, 15, 349, 13, 350, 23, 158, 21, 166, 224, 224, 242, 247, 248,
    253, 277, 272, 242, 169, 231, 216, 187, 234, 211, 192, 240, 203, 262,
    245, 271, 245, 260, 242, 220, 190, 185, 184, 166, 234, 197, 242, 232,
    246, 295, 331, 298, 280, 276, 251, 264, 247, 226, 215, 184, 206, 237,
    276, 292, 282, 252, 254, 297, 279, 299, 235, 264, 275, 282, 212, 242,
    116, 165, 119, 18, 31, 329, 35, 90, 75, 34, 46, 85, 25, 62, 342, 2, 2,
    33, 73, 118, 211, 248, 254, 329, 288, 276, 284, 289, 255, 329, 264, 296,
    286, 260, 280, 223, 316, 202, 244, 241, 242, 242, 223, 200, 258, 297,
    301, 286, 321, 270, 242, 269, 256, 261, 248, 277, 199, 162, 199, 187,
    211, 182, 240, 251, 241, 222, 251, 242, 217, 239, 214, 196, 156, 346,
    355, 61, 29, 67, 68, 116, 66, 357, 23, 351, 340, 78, 76, 90, 59, 161, 94,
    97, 87, 90, 45, 96, 114, 130, 188, 248, 240, 211, 256, 255, 182, 183,
    225, 206, 252, 242, 244, 279, 158, 14, 57, 96, 96, 95, 62, 100, 73, 32,
    324, 25, 188, 231, 183, 84, 76, 115, 67, 152, 70, 41, 128, 256, 166, 187,
    168, 272, 263, 261, 193, 221, 268, 248, 259, 263, 327, 246, 323, 288,
    267, 240, 261, 173, 216, 221, 347, 245, 293, 321, 297, 230, 288, 288,
    339, 294, 250, 300, 265, 233, 284, 274, 279, 308, 233, 268, 261, 276,
    248, 267, 180, 171, 210, 174, 215, 256, 264, 253, 308, 309, 307, 278,
    190, 241, 183, 195, 241, 173, 171, 240, 262, 246, 187, 197, 201, 247,
    236, 240, 258, 252, 308, 250, 257, 311, 279, 302, 291, 294, 271, 280,
    290, 284, 340, 296, 268, 223, 247, 229, 260, 322, 318, 280, 299, 286,
    256, 221, 192, 207, 245, 284, 255, 220, 231, 251, 214, 165, 182, 168,
    187, 119, 156, 173, 50, 43, 192, 146, 233, 123, 214, 241, 283, 271, 301,
    313, 250, 237, 265, 259, 166, 114, 180, 259, 235, 190, 187, 181, 233,
    101, 214, 190, 261, 192, 100, 156, 168, 106, 194, 97, 66, 156, 145, 159,
    241, 191, 67, 160, 105, 159, 48, 16, 110, 137, 85, 105, 89, 174, 147,
    177, 205, 311, 231, 189, 128, 57, 86, 12, 318, 348, 354, 9, 347, 167,
    114, 182, 218, 189, 276, 271, 284, 235, 292, 290, 275, 242, 299, 320,
    306, 274, 275, 285, 300, 331, 254, 197, 190, 76, 183, 145, 100, 103, 56,
    359, 174, 224, 209, 187, 190, 135, 127, 121, 33, 75, 127, 15, 3, 345,
    322, 8, 98, 322, 358, 11, 315, 98, 108, 352, 36, 16, 20, 168, 157, 188,
    180, 154, 150, 57, 261, 195, 318, 254, 310, 294, 277, 236, 268, 191, 243,
    295, 294, 295, 297, 297, 286, 287, 290, 291, 221, 220, 179, 202, 290,
    224, 253, 278, 227, 241, 284, 243, 292, 231, 254, 248, 244, 151, 199, 84,
    77, 144, 86, 182, 255, 260, 306, 304, 292, 290, 288, 303, 300, 169, 75,
    8, 334, 10, 340, 352, 7, 79, 185, 187, 158, 159, 150, 159, 226, 278, 264,
    297, 197, 235, 295, 220, 245, 280, 241, 242, 282, 234, 230, 273, 292,
    229, 236, 285, 217, 51, 122, 111, 106, 125, 84, 57, 178, 301, 207, 80,
    183, 171, 193, 105, 79, 155, 184, 146, 183, 211, 191, 190, 71, 346, 324,
    17, 106, 103, 151, 240, 269, 270, 251, 234, 312, 266, 256, 260, 311, 287,
    273, 259, 234, 178, 288, 242, 242, 261, 254, 219, 118, 199, 283, 130, 94,
    71, 359, 337, 93, 68, 10, 5, 41, 356, 65, 82, 84, 102, 83, 110, 81, 351,
    12, 344, 46, 353, 67, 5, 54, 172, 277, 234, 288, 224, 191, 291, 264, 295,
    300, 189, 141, 250, 280, 309, 179, 191, 100, 124, 9, 21, 80, 62, 352, 21,
    101, 190, 218, 237, 227, 300, 278, 265, 268, 292, 294, 289, 276, 203,
    156, 168, 188, 199, 92, 97, 181, 292, 288, 284, 124, 272, 266, 224, 321,
    277, 203, 215, 201, 289, 220, 297, 256, 239, 280, 275, 286, 244, 312,
    282, 294, 311, 326, 305, 289, 303, 316, 291, 292, 251, 275, 219, 256,
    272, 251, 297, 282, 250, 283, 279, 258, 315, 256, 255, 292, 278, 226,
    272, 257, 239, 250, 257, 188, 195, 247, 254, 307, 282, 254, 316, 260,
    239, 275, 209, 278, 268, 240, 249, 199, 65, 13, 82, 189, 97, 79, 202,
    137, 195, 283, 236, 250, 275, 292, 224, 281, 207, 257, 243, 254, 255,
    268, 299, 258, 284, 270, 284, 316, 310, 277, 310, 250, 259, 299, 249,
    152, 190, 141, 159, 190, 107, 111, 63, 359, 352, 352, 26, 31, 355, 17,
    344, 109, 196, 120, 299, 256, 289, 249, 268, 314, 281, 285, 285, 307,
    260, 288, 238, 300, 289, 186, 95, 195, 206, 191, 194, 198, 104, 70, 7,
    76, 344, 349, 19, 341, 96, 189, 191, 179, 265, 263, 280, 322, 285, 245,
    285, 318, 279, 167, 86, 46, 150, 129, 106, 201, 86, 190, 194, 124, 195,
    23, 96, 100, 168, 247, 296, 266, 303, 304, 230, 280, 303, 272, 292, 255,
    227, 271, 288, 330, 303, 293, 297, 320, 313, 304, 302, 285, 294, 309,
    284, 237, 223, 249, 265, 284, 252, 289, 297, 241, 249, 265, 101, 130,
    101, 112, 198, 229, 237, 190, 65, 109, 169, 192, 314, 181, 319, 242, 282,
    245, 287, 259, 285, 294, 223, 249, 272, 246, 319, 310, 306, 296, 300,
    280, 282, 318, 319, 294, 329, 310, 282, 257, 319, 276, 237, 57, 99, 165,
    92, 66, 348, 36, 332, 354, 346, 344, 348, 3, 353, 348, 348, 353, 325, 12,
    104, 188, 294, 215, 203, 221, 239, 185, 196, 306, 153, 253, 259, 279,
    300, 220, 127, 109, 81, 124, 129, 101, 204, 291, 230, 180, 279, 273, 318,
    205, 101, 38, 350, 343, 338, 351, 29, 357, 327, 108, 82, 197, 92, 186,
    211, 165, 85, 84, 81, 349, 5, 355, 99, 188, 203, 232, 244, 223, 273, 288,
    261, 287, 318, 289, 250, 250, 227, 224, 267, 182, 209, 202, 272, 281,
    289, 304, 302, 299, 280, 289, 270, 243, 225, 261, 240, 270, 256, 239,
    248, 287, 263, 245, 306, 310, 258, 290, 264, 284, 234, 311, 251, 301,
    268, 218, 184, 190, 225, 191, 128, 188, 187, 168, 107, 186, 105, 152,
    182, 41, 163, 58, 105, 36, 37, 178, 256, 195, 222, 323, 320, 140, 192,
    218, 65, 341, 330, 97, 84, 32, 92, 163, 62, 93, 157, 120, 57, 48, 102,
    74, 190, 196, 246, 285, 231, 272, 260, 312, 309, 266, 227, 199, 132, 155,
    153, 178, 209, 21, 3, 160, 153, 94, 153, 284, 288, 208, 197, 189, 178,
    293, 288, 178, 207, 307, 287, 201, 226, 267, 291, 311, 255, 289, 310,
    307, 308, 309, 306, 311, 292, 279, 288, 307, 302, 292, 315, 307, 316,
    302, 317, 297, 313, 321, 306, 326, 321, 301, 313, 306, 309, 327, 256,
    231, 244, 270, 271, 297, 235, 282, 287, 261, 292, 311, 324, 293, 293,
    307, 285, 298, 301, 196, 198, 151, 257, 216, 280, 233, 236, 205, 202,
    265, 283, 304, 300, 278, 291, 316, 313, 264, 225, 289, 163, 167, 201,
    106, 39, 251, 197, 222, 235, 167, 164, 156, 353, 5, 9, 2, 5, 359, 1, 32,
    357, 11, 38, 37, 271, 83, 167, 172, 172, 1, 159, 200, 102, 255, 253, 179,
    203, 194, 175, 253, 261, 216, 209, 203, 120, 64, 45, 112, 296, 193, 186,
    89, 173, 97, 124, 262, 74, 106, 124, 282, 254, 254, 272, 196, 69, 210,
    217, 169, 254, 247, 307, 287, 305, 285, 306, 282, 253, 292, 271, 237,
    264, 256, 283, 294, 319, 279, 297, 317, 286, 281, 301, 291, 280, 268,
    217, 316, 299, 282, 285, 254, 269, 282, 272, 271, 276, 265, 269, 300,
    294, 233, 264, 260, 295, 315, 284, 239, 285, 289, 276, 295, 325, 315,
    293, 313, 296, 296, 277, 305, 233, 248, 232, 203, 256, 264, 278, 259,
    250, 209, 283, 255, 250, 130, 14, 84, 45, 182, 265, 252, 246, 258, 259,
    166, 69, 111, 353, 9, 42, 356, 12, 18, 108, 106, 67, 125, 117, 126, 208,
    200, 126, 76, 100, 132, 191, 250, 274, 293, 293, 298, 286, 283, 299, 284,
    282, 315, 296, 278, 293, 328, 293, 294, 216, 293, 322, 291, 286, 260,
    280, 262, 242, 258, 269, 256, 201, 109, 52, 357, 9, 331, 118, 200, 194,
    112, 197, 224, 266, 244, 286, 264, 239, 205, 73, 4, 104, 118, 265, 190,
    203, 196, 253, 276, 227, 245, 169, 167, 177, 200, 115, 210, 213, 67, 91,
    114, 64, 86, 204, 57, 9, 6, 27, 42, 163, 252, 272, 275, 268, 202, 280,
    259, 253, 236, 251, 254, 284, 267, 218, 299, 291, 315, 278, 217, 277,
    250, 204, 257, 115, 107, 242, 259, 167, 208, 252, 205, 80, 166, 202, 140,
    178, 207, 253, 255, 88, 125, 203, 201, 203, 121, 133, 91, 38, 83, 37,
    124, 99, 51, 170, 210, 266, 227, 209, 259, 263, 290, 195, 172, 357, 344,
    54, 217, 162, 169, 99, 33, 35, 81, 199, 204, 125, 152, 96, 244, 269, 286,
    279, 254, 295, 247, 261, 256, 257, 303, 217, 268, 287, 238, 232, 248,
    271, 263, 201, 185, 197, 175, 159, 246, 228, 245, 203, 217, 242, 259,
    213, 131, 75, 174, 81, 271, 280, 198, 110, 102, 49, 38, 44, 70, 333, 130,
    159, 120, 184, 229, 274, 270, 208, 233, 259, 249, 304, 274, 298, 277,
    292, 296, 283, 287, 280, 288, 286, 301, 329, 288, 300, 298, 264, 260,
    278, 166, 86, 63, 156, 214, 241, 223, 262, 71, 186, 168, 160, 210, 205,
    245, 274, 273, 227, 244, 285, 263, 244, 238, 262, 255, 266, 260, 242,
    264, 249, 284, 239, 281, 222, 302, 256, 289, 289, 278, 250, 213, 132,
    359, 28, 122, 190, 282, 234, 181, 264, 131, 41, 31, 354, 8, 168, 87, 224,
    245, 189, 244, 272, 225, 275, 220, 167, 118, 145, 129, 82, 116, 105, 37,
    25, 340, 353, 48, 41, 17, 224, 84, 265, 241, 216, 202, 200, 136, 127,
    281, 265, 238, 291, 270, 282, 244, 260, 221, 205, 126, 274, 211, 133,
    116, 52, 353, 112, 219, 244, 274, 168, 247, 208, 215, 169, 81, 74, 166,
    99, 199, 75, 119, 170, 190, 197, 118, 103, 297, 292, 207, 121, 255, 224,
    208, 250, 252, 265, 261, 173, 255, 290, 286, 261, 252, 260, 241, 280,
    278, 286, 269, 281, 250, 87, 160, 200, 90, 210, 39, 163, 250, 205, 276,
    217, 42, 121, 128, 75, 120, 220, 127, 73, 5, 352, 359, 333, 356, 355,
    356, 338, 79, 112, 89, 107, 102, 112, 108, 340, 37, 3, 355, 348, 348, 29,
    47, 24, 270, 170, 215, 219, 288, 241, 254, 208, 264, 197, 213, 233, 242,
    268, 241, 281, 213, 198, 173, 206, 121, 41, 108, 168, 251, 293, 247, 263,
    192, 260, 268, 248, 246, 270, 322, 295, 256, 289, 282, 289, 253, 242,
    269, 295, 265, 259, 299, 272, 286, 299, 279, 302, 284, 302, 318, 286,
    286, 286, 284, 293, 300, 281, 299, 275, 266, 265, 287, 292, 197, 163,
    257, 263, 268, 270, 280, 284, 262, 209, 69, 212, 201, 273, 246, 43, 76,
    210, 234, 201, 111, 262, 203, 177, 268, 273, 298, 274, 286, 252, 281,
    233, 265, 202, 255, 266, 195, 277, 292, 307, 293, 299, 286, 290, 303,
    285, 277, 306, 300, 288, 291, 316, 288, 290, 278, 296, 290, 250, 267,
    268, 268, 293, 274, 250, 302, 268, 196, 180, 220, 189, 243, 271, 224, 85,
    129, 197, 280, 235, 277, 254, 280, 259, 268, 327, 321, 306, 303, 298,
    303, 310, 279, 277, 311, 254, 306, 171, 200, 267, 300, 252, 267, 281,
    259, 255, 285, 273, 273, 278, 306, 321, 303, 307, 301, 339, 324, 330,
    274, 282, 316, 299, 272, 256, 311, 269, 278, 274, 315, 308, 308, 334,
    299, 300, 296, 311, 324, 314, 302, 317, 327, 298, 295, 338, 335, 343,
    280, 329, 285, 255, 281, 257, 268, 286, 271, 191, 268, 174, 157, 198,
    179, 313, 264, 331, 312, 308, 298, 342, 302, 302, 299, 329, 314, 311,
    300, 323, 324, 311, 291, 313, 351, 314, 316, 299, 309, 306, 307, 268,
    146, 217, 76, 149, 156, 179, 262, 270, 290, 287, 296, 358, 283, 275, 294,
    290, 277, 304, 299, 265, 265, 269, 264, 183, 153, 172, 168, 87, 66, 46,
    74, 26, 61, 69, 345, 336, 348, 341, 342, 340, 348, 344, 344, 336, 65, 77,
    101, 114, 60, 33, 235, 260, 259, 251, 279, 281, 265, 277, 243, 309, 297,
    302, 306, 282, 294, 309, 276, 287, 248, 258, 237, 301, 282, 285, 278,
    182, 262, 285, 295, 295, 311, 272, 264, 253, 255, 184, 222, 160, 172,
    197, 92, 71, 172, 93, 157, 188, 244, 140, 223, 257, 300, 260, 294, 275,
    251, 226, 245, 258, 302, 189, 97, 239, 270, 250, 255, 266, 268, 283, 249,
    309, 156, 298, 296, 285, 153, 203, 202, 164, 176, 196, 277, 208, 84, 69,
    66, 85, 331, 326, 345, 58, 352, 57, 98, 104, 117, 122, 54, 48, 50, 210,
    98, 193, 175, 149, 226, 106, 74, 59, 171, 206, 192, 167, 197, 233, 259,
    272, 279, 244, 296, 272, 186, 201, 217, 170, 244, 185, 260, 184, 163,
    203, 147, 62, 73, 350, 4, 47, 63, 91, 84, 225, 88, 59, 109, 123, 75, 232,
    280, 279, 181, 265, 179, 272, 253, 185, 261, 276, 184, 258, 307, 299,
    258, 269, 270, 192, 288, 183, 220, 226, 211, 166, 221, 170, 242, 165,
    276, 299, 152, 219, 187, 258, 260, 274, 180, 174, 300, 297, 253, 297,
    300, 251, 254, 269, 261, 292, 181, 242, 269, 267, 278, 272, 285, 292,
    144, 124, 191, 231, 138, 230, 306, 160, 95, 57, 29, 88, 169, 166, 49, 98,
    80, 147, 128, 152, 180, 142, 229, 89, 65, 95, 143, 152, 172, 149, 170,
    148, 92, 25, 336, 357, 1, 342, 83, 100, 110, 165, 147, 105, 175, 100, 93,
    155, 189, 189, 272, 263, 234, 298, 269, 274, 315, 316, 304, 335, 313,
    333, 322, 302, 301, 302, 319, 305, 322, 298, 298, 310, 318, 335, 269,
    285, 101, 134, 154, 189, 281, 177, 187, 91, 209, 301, 289, 305, 300, 269,
    263, 279, 289, 328, 329, 330, 322, 318, 305, 309, 326, 305, 307, 334,
    321, 301, 327, 312, 330, 269, 340, 266, 293, 232, 165, 154, 61, 64, 71,
    92, 77, 93, 342, 66, 352, 351, 332, 347, 336, 22, 330, 4, 134, 99, 215,
    126, 113, 159, 94, 104, 9, 339, 21, 352, 333, 339, 31, 330, 342, 73, 33,
    113, 98, 110, 26, 5, 339, 350, 36, 60, 24, 356, 2, 101, 90, 77, 104, 105,
    57, 356, 348, 59, 100, 198, 280, 249, 164, 128, 99, 22, 101, 111, 167,
    96, 160, 157, 226, 285, 270, 267, 269, 286, 250, 268, 240, 175, 271, 191,
    87, 163, 79, 66, 16, 47, 207, 93, 71, 92, 212, 196, 168, 86, 66, 71, 68,
    116, 339, 341, 340, 346, 24, 355, 98, 69, 95, 151, 352, 335, 100, 97, 93,
    90, 161, 108, 61, 223, 221, 247, 266, 275, 269, 258, 251, 268, 289, 279,
    276, 295, 264, 197, 140, 77, 144, 105, 46, 99, 73, 75, 190, 166, 264,
    269, 244, 166, 164, 132, 158, 210, 175, 272, 236, 314, 260, 288, 173,
    177, 303, 151, 193, 316, 260, 262, 262, 256, 299, 273, 262, 183, 77, 159,
    176, 140, 162, 185, 178, 270, 272, 297, 240, 262, 298, 260, 288, 260,
    340, 335, 311, 326, 263, 306, 307, 345, 263, 254, 317, 258, 274, 262,
    249, 250, 102, 106, 54, 76, 64, 99, 210, 298, 272, 279, 268, 299, 338,
    280, 295, 317, 313, 300, 335, 330, 331, 320, 330, 306, 330, 340, 239,
    292, 264, 276, 284, 330, 324, 264, 304, 245, 272, 297, 258, 273, 256,
    334, 280, 306, 320, 217, 79, 145, 85, 323, 324, 91, 8, 347, 331, 347, 3,
    12, 1, 13, 90, 78, 77, 88, 150, 139, 161, 82, 140, 114, 134, 136, 164,
    101, 172, 213, 266, 208, 120, 123, 70, 70, 133, 201, 217, 259, 208, 231,
    283, 300, 227, 238, 205, 91, 24, 4, 337, 6, 346, 326, 46, 333, 5, 356,
    350, 348, 356, 348, 4, 34, 135, 118, 225, 280, 234, 225, 245, 234, 237,
    300, 303, 241, 305, 179, 160, 207, 204, 301, 161, 313, 226, 289, 238,
    313, 283, 275, 327, 329, 297, 300, 310, 220, 228, 224, 234, 241, 236,
    220, 230, 274, 181, 219, 278, 266, 281, 294, 216, 169, 202, 176, 163,
    127, 140, 130, 117, 162, 96, 153, 228, 61, 93, 69, 161, 188, 83, 76, 67,
    148, 233, 248, 224, 220, 211, 167, 145, 156, 269, 137, 94, 170, 120, 78,
    119, 118, 201, 225, 149, 240, 192, 194, 204, 191, 174, 59, 331, 332, 332,
    74, 157, 211, 193, 290, 191, 147, 170, 83, 231, 165, 198, 276, 245, 259,
    217, 193, 148, 144, 32, 90, 43, 85, 340, 90, 161, 316, 263, 241, 287,
    229, 302, 276, 294, 236, 240, 211, 260, 235, 290, 340, 327, 320, 211,
    336, 292, 284, 306, 310, 242, 261, 312, 157, 173, 217, 241, 237, 197,
    255, 228, 162, 217, 247, 313, 292, 227, 273, 97, 140, 165, 164, 207, 197,
    119, 228, 226, 295, 235, 222, 240, 289, 204, 230, 213, 162, 193, 213,
    242, 269, 228, 225, 308, 219, 67, 29, 70, 88, 229, 156, 162, 143, 128,
    286, 135, 222, 152, 269, 212, 183, 251, 287, 298, 284, 248, 237, 297,
    133, 225, 246, 281, 242, 248, 248, 215, 221, 254, 252, 285, 200, 239,
    280, 156, 201, 272, 197, 277, 214, 101, 63, 149, 220, 137, 101, 215, 202,
    262, 254, 302, 194, 167, 48, 129, 288, 215, 299, 341, 311, 316, 318, 303,
    321, 317, 301, 285, 316, 285, 208, 205, 226, 223, 268, 226, 306, 175,
    136, 144, 74, 358, 52, 60, 274, 255, 192, 209, 255, 244, 271, 232, 262,
    303, 318, 229, 312, 318, 310, 281, 295, 329, 280, 319, 294, 277, 291,
    297, 297, 271, 327, 310, 248, 200, 198, 152, 163, 26, 74, 47, 113, 69,
    94, 63, 66, 122, 202, 252, 252, 304, 312, 294, 278, 225, 270, 236, 220,
    219, 182, 285, 219, 207, 236, 223, 247, 260, 169, 211, 171, 159, 156, 86,
    29, 155, 198, 129, 136, 116, 115, 210, 141, 186, 67, 175, 330, 282, 308,
    326, 305, 215, 247, 208, 234, 241, 271, 233, 245, 259, 229, 177, 194,
    118, 67, 72, 355, 60, 150, 77, 183, 230, 144, 164, 221, 218, 265, 269,
    264, 220, 251, 227, 230, 235, 251, 247, 275, 229, 207, 205, 214, 220,
    254, 194, 212, 222, 307, 289, 205, 136, 184, 250, 136, 130, 204, 140,
    146, 327, 244, 155, 131, 152, 176, 194, 263, 220, 237, 247, 230, 201,
    148, 204, 204, 267, 116, 135, 201, 282, 255, 186, 189, 212, 290, 217,
    267, 264, 267, 304, 289, 330, 220, 275, 227, 239, 325, 312, 303, 326,
    240, 327, 233, 228, 221, 257, 277, 217, 150, 176, 172, 166, 152, 149,
    343, 341, 356, 336, 335, 338, 25, 333, 34, 337, 152, 92, 74, 95, 178, 77,
    29, 9, 12, 93, 32, 144, 140, 150, 137, 175, 153, 212, 187, 156, 131, 189,
    54, 68, 339, 29, 64, 141, 227, 132, 198, 220, 319, 304, 286, 244, 244,
    236, 317, 300, 299, 322, 311, 233, 333, 292, 254, 284, 303, 238, 235,
    236, 205, 207, 303, 302, 311, 248, 231, 209, 175, 146, 172, 263, 218,
    247, 305, 332, 293, 306, 318, 293, 313, 311, 309, 241, 256, 235, 236,
    209, 158, 220, 266, 252, 197, 237, 245, 226, 223, 237, 224, 278, 208,
    264, 255, 292, 241, 337, 323, 236, 241, 231, 253, 244, 317, 310, 241,
    288, 229, 229, 256, 297, 281, 202, 227, 147, 162, 103, 193, 50, 20, 30,
    89, 93, 49, 331, 15, 31, 90, 97, 72, 61, 135, 169, 294, 231, 192, 230,
    274, 317, 243, 248, 229, 231, 244, 293, 312, 309, 311, 267, 229, 291,
    229, 326, 307, 282, 307, 310, 287, 297, 298, 287, 333, 240, 244, 295,
    222, 243, 253, 220, 218, 238, 226, 227, 158, 129, 220, 231, 230, 202,
    153, 95, 145, 177, 238, 218, 149, 48, 176, 267, 297, 275, 250, 268, 197,
    230, 201, 98, 108, 166, 225, 247, 258, 264, 273, 239, 219, 225, 179, 195,
    75, 242, 229, 248, 250, 238, 224, 146, 123, 241, 122, 217, 89, 116, 8,
    97, 182, 237, 231, 114, 126, 223, 259, 218, 269, 317, 262, 292, 249, 270,
    284, 269, 274, 283, 319, 267, 302, 256, 280, 336, 268, 241, 262, 252,
    276, 310, 307, 302, 316, 303, 340, 325, 291, 328, 270, 278, 257, 289,
    298, 308, 279, 284, 308, 300, 344, 301, 296, 318, 315, 306, 294, 272,
    262, 233, 311, 307, 275, 232, 260, 239, 317, 248, 240, 154, 335, 348, 4,
    132, 313, 324, 30, 149, 201, 222, 258, 241, 261, 203, 250, 242, 261, 300,
    283, 229, 203, 225, 158, 199, 261, 258, 246, 245, 267, 181, 96, 197, 192,
    184, 113, 144, 127, 126, 149, 177, 121, 221, 229, 182, 99, 237, 253, 222,
    246, 138, 227, 220, 238, 248, 277, 234, 217, 179, 245, 146, 160, 121,
    217, 253, 246, 215, 227, 229, 108, 44, 347, 63, 142, 175, 93, 146, 128,
    144, 211, 144, 219, 252, 263, 271, 270, 259, 247, 246, 247, 245, 180,
    104, 146, 133, 254, 275, 249, 302, 300, 293, 326, 259, 315, 269, 285,
    239, 183, 152, 207, 210, 223, 272, 250, 255, 321, 249, 263, 279, 268,
    273, 275, 294, 265, 224, 266, 37, 151, 349, 16, 347, 102, 70, 152, 151,
    48, 99, 44, 36, 214, 222, 224, 261, 241, 282, 312, 311, 282, 331, 289,
    310, 308, 304, 269, 303, 295, 325, 296, 235, 225, 104, 355, 113, 197, 91,
    188, 185, 169, 247, 201, 228, 222, 139, 184, 222, 167, 199, 218, 243,
    241, 247, 287, 261, 295, 235, 280, 242, 197, 212, 244, 248, 295, 286,
    304, 300, 304, 301, 311, 298, 307, 288, 287, 317, 279, 280, 235, 251,
    265, 224, 172, 86, 212, 167, 137, 174, 262, 154, 211, 220, 127, 247, 226,
    138, 183, 220, 243, 283, 253, 313, 315, 333, 303, 308, 306, 329, 324,
    293, 295, 298, 312, 304, 266, 297, 308, 292, 253, 197, 187, 149, 98, 122,
    129, 73, 200, 151, 222, 237, 272, 266, 276, 273, 278, 340, 300, 262, 299,
    274, 252, 246, 258, 281, 251, 250, 243, 264, 307, 263, 266, 271, 274,
    280, 267, 238, 248, 219, 230, 248, 249, 279, 266, 274, 269, 250, 288,
    213, 214, 226, 92, 12, 68, 177, 233, 145, 209, 200, 211, 189, 139, 126,
    196, 231, 207, 249, 270, 287, 241, 253, 218, 254, 206, 114, 157, 77, 96,
    139, 103, 145, 212, 102, 43, 198, 119, 145, 97, 190, 106, 123, 69, 87,
    354, 185, 91, 17, 108, 231, 115, 129, 90, 148, 158, 168, 194, 115, 221,
    264, 292, 291, 253, 271, 222, 249, 245, 246, 229, 137, 63, 141, 135, 244,
    130, 260, 254, 245, 294, 214, 220, 289, 300, 275, 234, 242, 285, 293,
    252, 318, 333, 286, 304, 293, 276, 290, 242, 223, 255, 262, 128, 254,
    267, 257, 261, 224, 253, 218, 250, 269, 310, 266, 274, 190, 277, 272,
    268, 251, 219, 224, 192, 109, 95, 129, 137, 95, 87, 333, 319, 331, 356,
    108, 37, 82, 339, 5, 44, 20, 340, 342, 45, 330, 75, 337, 46, 2, 354, 320,
    331, 341, 38, 31, 30, 40, 154, 225, 242, 252, 232, 273, 284, 276, 285,
    239, 224, 216, 133, 148, 102, 139, 99, 238, 194, 85, 7, 41, 358, 349,
    349, 338, 1, 351, 348, 348, 344, 348, 357, 321, 100, 95, 203, 225, 243,
    243, 289, 248, 225, 228, 245, 260, 138, 90, 32, 113, 1, 52, 212, 103,
    130, 80, 13, 68, 141, 260, 260, 276, 280, 289, 258, 299, 310, 323, 266,
    282, 291, 297, 308, 302, 303, 300, 301, 308, 325, 346, 263, 257, 282,
    286, 273, 265, 234, 219, 149, 52, 80, 39, 150, 229, 276, 317, 248, 213,
    137, 34, 33, 359, 42, 133, 124, 165, 262, 213, 261, 237, 290, 215, 248,
    137, 223, 252, 284, 276, 269, 265, 277, 328, 273, 320, 287, 257, 293,
    319, 295, 291, 318, 304, 305, 300, 304, 309, 295, 323, 304, 328, 335,
    335, 304, 316, 268, 270, 331, 303, 288, 269, 288, 321, 264, 277, 275,
    213, 246, 250, 258, 232, 213, 221, 264, 284, 268, 282, 307, 247, 211,
    267, 248, 202, 186, 214, 261, 232, 159, 139, 187, 228, 253, 231, 274,
    261, 262, 219, 295, 254, 247, 161, 115, 190, 211, 261, 235, 260, 252,
    296, 235, 258, 234, 218, 226, 235, 247, 251, 277, 311, 295, 239, 311,
    291, 301, 309, 304, 231, 252, 329, 260, 305, 232, 282, 268, 241, 244,
    234, 222, 313, 306, 307, 320, 271, 246, 266, 201, 163, 186, 82, 128, 102,
    174, 107, 75, 57, 65, 70, 207, 218, 132, 198, 174, 85, 182, 128, 131,
    251, 226, 280, 236, 213, 169, 201, 191, 57, 168, 149, 218, 207, 228, 56,
    47, 24, 37, 64, 18, 7, 325, 352, 326, 349, 358, 356, 346, 356, 348, 343,
    348, 324, 330, 360, 359, 337, 81, 72, 107, 111, 57, 168, 128, 115, 113,
    57, 98, 160, 184, 192, 104, 157, 118, 263, 311, 253, 239, 307, 295, 319,
    284, 275, 282, 309, 324, 315, 299, 308, 263, 210, 204, 237, 221, 222,
    253, 294, 295, 274, 156, 207, 252, 254, 263, 235, 212, 127, 141, 117, 93,
    61, 74, 11, 2, 15, 119, 105, 118, 113, 110, 212, 247, 124, 199, 164, 128,
    153, 200, 213, 204, 239, 193, 229, 217, 194, 272, 239, 250, 322, 330,
    300, 245, 331, 308, 250, 240, 276, 208, 181, 212, 111, 184, 221, 210,
    196, 221, 272, 253, 274, 316, 257, 277, 242, 203, 165, 151, 181, 169,
    241, 274, 207, 224, 201, 184, 211, 204, 215, 211, 163, 129, 260, 202,
    146, 148, 201, 215, 159, 197, 127, 153, 138, 186, 253, 253, 231, 245,
    266, 250, 247, 256, 244, 251, 321, 299, 305, 226, 259, 263, 307, 319,
    267, 237, 230, 280, 207, 256, 249, 287, 293, 260, 271, 289, 236, 254,
    295, 231, 99, 206, 238, 272, 246, 207, 204, 196, 147, 208, 169, 118, 44,
    134, 108, 152, 150, 230, 241, 226, 261, 244, 244, 241, 201, 198, 198,
    280, 277, 209, 283, 228, 240, 245, 249, 281, 230, 232, 318, 313, 311,
    329, 309, 311, 291, 303, 260, 316, 310, 319, 304, 299, 266, 276, 254,
    239, 215, 196, 208, 145, 297, 253, 274, 254, 239, 224, 190, 123, 118,
    152, 156, 160, 118, 73, 98, 172, 172, 238, 158, 258, 307, 233, 248, 256,
    238, 230, 135, 253, 276, 269, 228, 237, 238, 275, 299, 249, 298, 269,
    240, 207, 128, 133, 116, 110, 119, 101, 44, 8, 58, 48, 73, 79, 91, 147,
    151, 197, 212, 217, 190, 278, 293, 279, 272, 283, 271, 255, 312, 314,
    301, 285, 248, 257, 229, 239, 307, 244, 250, 82, 121, 72, 104, 84, 16,
    58, 9, 23, 11, 71, 124, 232, 126, 197, 219, 166, 167, 75, 177, 178, 231,
    195, 155, 129, 166, 58, 124, 176, 250, 162, 192, 240, 271, 244, 245, 155,
    193, 178, 193, 202, 209, 184, 98, 174, 159, 199, 137, 140, 122, 245, 225,
    218, 265, 250, 283, 256, 266, 266, 230, 207, 196, 238, 274, 232, 249,
    232, 234, 254, 257, 246, 239, 249, 253, 252, 323, 328, 326, 238, 241,
    331, 309, 314, 316, 295, 289, 280, 295, 313, 296, 245, 289, 240, 203,
    249, 241, 247, 241, 177, 170, 118, 38, 110, 193, 216, 187, 210, 200, 208,
    123, 200, 218, 191, 140, 45, 83, 106, 115, 265, 291, 302, 274, 263, 264,
    192, 144, 179, 139, 179, 215, 211, 263, 189, 198, 211, 143, 170, 263,
    245, 272, 251, 258, 315, 288, 257, 162, 351, 57, 143, 233, 195, 240, 262,
    228, 176, 215, 261, 307, 254, 244, 299, 246, 252, 323, 297, 283, 317,
    320, 318, 305, 270, 109, 142, 2, 326, 326, 35, 359, 8, 46, 319, 68, 50,
    355, 315, 340, 90, 169, 261, 254, 242, 303, 327, 302, 295, 272, 309, 308,
    264, 267, 156, 122, 149, 67, 121, 66, 217, 204, 266, 261, 226, 280, 284,
    215, 150, 227, 259, 264, 288, 268, 270, 225, 266, 232, 277, 313, 306,
    316, 257, 232, 188, 113, 88, 47, 51, 73, 64, 358, 351, 2, 19, 203, 165,
    154, 100, 134, 178, 134, 190, 94, 102, 350, 51, 62, 108, 187, 147, 195,
    177, 193, 214, 231, 262, 247, 241, 331, 316, 314, 320, 299, 314, 272,
    235, 201, 104, 51, 346, 323, 346, 70, 19, 70, 122, 100, 13, 66, 56, 108,
    90, 158, 246, 259, 317, 240, 240, 259, 212, 180, 214, 89, 185, 277, 270,
    271, 243, 306, 196, 196, 252, 339, 291, 256, 226, 291, 286, 326, 257,
    337, 194, 102, 184, 249, 223, 264, 271, 224, 260, 193, 283, 207, 192,
    276, 204, 252, 261, 252, 213, 215, 128, 167, 124, 110, 120, 188, 245,
    135, 193, 199, 281, 282, 249, 241, 116, 83, 102, 210, 210, 255, 249, 247,
    259, 278, 253, 303, 262, 266, 280, 290, 266, 315, 285, 300, 282, 236,
    248, 274, 209, 204, 209, 254, 278, 175, 207, 118, 193, 75, 70, 136, 204,
    206, 270, 215, 213, 164, 276, 248, 271, 252, 287, 276, 303, 301, 312,
    254, 273, 174, 252, 271, 295, 257, 311, 292, 235, 270, 256, 293, 283,
    281, 331, 299, 289, 296, 293, 289, 249, 278, 279, 253, 303, 258, 292,
    282, 286, 288, 291, 242, 277, 255, 265, 251, 116, 158, 202, 191, 215,
    276, 267, 256, 263, 282, 204, 255, 207, 267, 263, 281, 258, 256, 266,
    290, 318, 308, 294, 290, 259, 295, 294, 275, 273, 170, 212, 266, 198,
    278, 121, 219, 230, 253, 274, 271, 206, 128, 80, 72, 96, 94, 85, 67, 56,
    86, 73, 73, 93, 202, 231, 66, 169, 163, 77, 65, 117, 146, 195, 282, 212,
    203, 31, 64, 201, 218, 216, 203, 195, 164, 207, 113, 208, 163, 239, 166,
    202, 204, 183, 211, 282, 237, 271, 207, 225, 268, 273, 249, 268, 237,
    269, 172, 209, 212, 188, 208, 119, 264, 208, 288, 279, 207, 274, 205,
    275, 270, 273, 253, 279, 268, 266, 270, 324, 288, 279, 280, 271, 217,
    208, 209, 215, 183, 212, 280, 253, 266, 272, 198, 253, 250, 328, 298,
    243, 273, 203, 87, 97, 115, 217, 194, 64, 215, 231, 181, 206, 179, 200,
    218, 201, 203, 91, 96, 76, 212, 61, 71, 116, 91, 103, 94, 201, 267, 272,
    269, 279, 238, 277, 269, 246, 307, 282, 261, 286, 246, 299, 310, 287,
    276, 296, 242, 178, 167, 92, 65, 90, 61, 105, 155, 201, 234, 210, 280,
    246, 220, 187, 181, 106, 177, 236, 199, 227, 209, 208, 165, 215, 285,
    320, 296, 248, 266, 245, 271, 217, 80, 279, 227, 187, 100, 92, 96, 45,
    42, 62, 92, 114, 74, 191, 86, 34, 71, 80, 349, 344, 44, 83, 199, 201,
    129, 81, 122, 65, 63, 108, 118, 217, 51, 19, 353, 354, 84, 89, 7, 14,
    341, 337, 341, 334, 348, 334, 47, 25, 92, 121, 88, 68, 16, 75, 214, 279,
    212, 194, 139, 202, 47, 113, 192, 214, 274, 261, 242, 267, 265, 186, 67,
    119, 107, 83, 110, 89, 70, 51, 66, 97, 106, 98, 67, 110, 188, 113, 168,
    265, 235, 289, 286, 244, 247, 273, 246, 300, 297, 243, 285, 276, 255,
    266, 277, 248, 208, 69, 191, 206, 104, 192, 275, 277, 218, 276, 237, 271,
    273, 204, 107, 116, 81, 84, 50, 108, 68, 116, 206, 117, 95, 71, 40, 339,
    96, 352, 68, 205, 206, 206, 241, 153, 211, 185, 198, 272, 262, 290, 249,
    277, 256, 288, 296, 247, 315, 241, 265, 269, 263, 199, 157, 128, 223,
    203, 279, 273, 276, 280, 265, 272, 267, 285, 287, 296, 287, 298, 280,
    319, 290, 317, 287, 227, 313, 270, 273, 268, 272, 203, 209, 169, 212,
    257, 252, 246, 211, 267, 245, 279, 263, 183, 160, 276, 251, 279, 279,
    264, 283, 250, 282, 245, 257, 244, 284, 270, 274, 296, 264, 256, 254,
    163, 198, 282, 242, 281, 247, 254, 303, 274, 267, 259, 244, 275, 290,
    254, 342, 289, 312, 242, 232, 275, 270, 207, 283, 287, 271, 276, 274,
    257, 287, 221, 219, 198, 215, 107, 108, 104, 205, 278, 294, 263, 233,
    295, 289, 315, 232, 246, 265, 280, 298, 272, 281, 156, 189, 210, 204,
    225, 258, 117, 218, 204, 109, 336, 10, 52, 22, 61, 91, 173, 256, 212,
    104, 103, 273, 202, 286, 308, 248, 325, 332, 289, 315, 288, 296, 273,
    283, 264, 324, 255, 264, 263, 214, 210, 208, 236, 189, 189, 197, 191,
    203, 112, 62, 81, 103, 70, 87, 1, 339, 348, 346, 65, 74, 11, 78, 86, 63,
    192, 175, 106, 114, 94, 64, 12, 91, 85, 87, 117, 93, 155, 206, 74, 97,
    214, 208, 201, 89, 199, 117, 64, 87, 17, 78, 184, 107, 183, 86, 194, 224,
    218, 148, 182, 96, 143, 235, 279, 222, 206, 211, 251, 272, 295, 219, 159,
    255, 208, 223, 263 ;

 beam_radiation = 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 52, 45, 119, 96, 44, 9, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 7, 0, 21, 5, 24, 12, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 26, 4, 13, 2, 1, 11,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 52, 75, 42, 97,
    72, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 28,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70,
    37, 42, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 15, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 53,
    27, 16, 50, 75, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38,
    105, 88, 13, 29, 49, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 21, 30, 82, 41, 59, 90, 41, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 32, 63, 32, 9, 41, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 22, 18, 91, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 20, 15, 17, 91, 99, 78, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 36, 110, 121, 76, 115, 65, 34, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 47, 111, 146, 120, 96, 108, 42, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 66, 159, 198, 162, 52, 35, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 61, 0, 0, 3, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 7, 108, 13, 85, 3, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,
    2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29, 6, 4, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 114, 0, 46, 25, 5,
    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 61, 171, 203, 133,
    156, 100, 74, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 92,
    158, 51, 43, 25, 43, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14,
    57, 38, 47, 7, 32, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    5, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 30, 64, 179, 36, 0, 25, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 4, 22, 12, 8, 0, 0, 6, 36, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 3, 15, 23, 41, 33, 0, 37, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 13, 88, 141, 42, 11, 6, 4, 75, 16, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 21, 92, 159, 224, 173, 189, 218, 130, 37, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 66, 160, 138, 31, 0, 0, 2, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 31, 0, 0, 54, 12, 48, 95,
    9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 25, 13, 6, 101, 5,
    19, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29, 50, 207, 124,
    158, 254, 154, 92, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    41, 31, 192, 194, 208, 19, 62, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 5, 4, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 9, 10, 0, 61, 12, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 50, 133, 126, 166, 289, 355, 296, 158, 25, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 56, 107, 88, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 86, 151, 208, 105, 23, 152, 148, 50, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 38, 9, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 100, 0, 0, 0, 4, 2, 35, 7,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 2, 0, 8, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43, 0, 0, 0, 27, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 33, 1, 60, 57, 298, 264, 147,
    149, 45, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 87, 160, 204,
    291, 269, 329, 134, 201, 112, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    12, 84, 147, 140, 33, 0, 0, 52, 49, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 1, 74, 78, 13, 41, 88, 93, 8, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 41, 11, 0, 0, 4, 5, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 6, 61, 220, 347, 260, 216, 287, 282, 82, 15, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 21, 3, 6, 39, 14, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 27, 44, 186, 229, 407, 376, 83, 50,
    72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31, 104, 234, 253, 313,
    453, 424, 370, 214, 99, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6,
    21, 76, 185, 76, 50, 62, 3, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    4, 0, 12, 16, 224, 192, 222, 85, 16, 44, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 26, 52, 9, 2, 27, 64, 97, 63, 83, 33, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 11, 1, 168, 34, 19, 6, 2, 13, 25, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 33, 16, 79, 91, 74, 6, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38, 28, 34, 126, 39, 122, 11, 73, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 2, 0, 7, 4, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27, 0, 0, 1, 17, 3, 0, 78, 21, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 114, 259, 397, 429, 476, 374,
    421, 349, 209, 73, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0,
    2, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 75,
    187, 392, 343, 166, 251, 94, 39, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    78, 168, 324, 412, 54, 53, 1, 0, 35, 136, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 4, 0, 0, 0, 73, 52, 115, 18, 86, 236, 12, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 2, 12, 84, 254, 437, 519, 441, 377, 217, 73, 60, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 54, 251, 326, 246, 236, 408,
    219, 38, 17, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 39, 158, 337, 263,
    148, 272, 201, 92, 74, 110, 80, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11,
    93, 269, 339, 389, 537, 598, 548, 379, 337, 159, 30, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 4, 6, 134, 234, 304, 388, 141, 95, 102, 168, 50, 69, 4, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 3, 2, 3, 0, 15, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 49, 37, 112, 520, 355, 209, 257, 126,
    151, 64, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 113, 122, 40, 13, 73,
    105, 0, 0, 37, 21, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41, 140, 239,
    350, 215, 413, 461, 464, 392, 278, 163, 80, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 21, 0, 0, 56, 132, 208, 156, 12, 65, 64, 140, 103, 12, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 23, 15, 10, 0, 15, 7, 5, 48, 149, 84, 7, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 104, 42, 160, 233, 90, 96, 123, 175, 185,
    81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 126, 181, 408, 577, 635,
    620, 538, 484, 286, 145, 62, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 41,
    124, 108, 357, 520, 456, 449, 360, 296, 253, 129, 21, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 18, 0, 13, 0, 8, 11, 0, 10, 124, 8, 0, 5, 3, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 12, 50, 14, 16, 0, 0, 18, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 58, 151, 75, 74, 292, 61, 80, 13, 14, 15, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 9, 201, 164, 52, 79, 4, 19,
    0, 0, 5, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 15, 50, 6, 9, 6,
    7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 2, 0, 1, 0, 0,
    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 54, 13, 4, 2, 6, 87,
    34, 80, 56, 124, 23, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 108, 40, 296,
    34, 6, 5, 37, 162, 206, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 15,
    22, 157, 273, 109, 236, 231, 177, 306, 221, 62, 128, 19, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 38, 133, 12, 6, 16, 196, 37, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 5, 3, 19, 77, 25, 57, 6, 14, 5, 60, 2, 0, 9, 26, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 93, 125, 319, 440, 578, 561, 566, 578,
    495, 235, 245, 80, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 68, 186, 260,
    306, 287, 274, 319, 417, 532, 504, 343, 146, 66, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 11, 111, 237, 371, 291, 450, 255, 323, 278, 388, 213, 252, 130, 21,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 163, 47, 26, 69, 231, 313, 362, 413,
    361, 129, 26, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 4, 65, 85, 221,
    183, 220, 212, 395, 340, 194, 69, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 102,
    148, 358, 229, 80, 35, 103, 29, 34, 156, 282, 133, 35, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 25, 106, 142, 195, 93, 63, 209, 67, 156, 340, 122, 130, 54,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 51, 213, 141, 219, 401, 360, 430,
    169, 264, 180, 139, 145, 45, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27, 102, 133,
    138, 393, 346, 378, 458, 195, 51, 94, 84, 41, 52, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 21, 33, 62, 178, 124, 236, 218, 274, 120, 137, 229, 234, 136, 42,
    3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33, 114, 167, 142, 367, 374, 467, 316, 147,
    233, 102, 78, 28, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 22, 12, 52, 7,
    34, 249, 286, 204, 93, 75, 105, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 70,
    150, 224, 182, 12, 12, 0, 73, 92, 121, 287, 87, 65, 9, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 33, 67, 10, 23, 173, 26, 69, 49, 0, 0, 11, 10, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 9, 27, 49, 47, 106, 10, 37, 28, 0, 0, 0, 0, 66, 53, 7,
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 24, 18,
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    33, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 1, 0, 0,
    5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 60, 61, 179, 72, 80, 0,
    12, 48, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 9, 69,
    18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 89, 171,
    261, 47, 0, 38, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 52,
    42, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 48,
    53, 163, 167, 138, 68, 97, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 14, 0, 0, 0, 11, 8, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 2, 35, 16, 9, 8, 85, 136, 106, 71, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 75, 173, 253, 298, 245, 158, 122, 7, 4, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 29, 37, 61, 166, 67, 121, 40, 2, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 21, 86, 27, 0, 7, 4, 1, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 96, 100, 65, 66, 55, 140, 72,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 9, 12, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 12, 24, 135, 153, 50,
    37, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 0, 77, 0, 0,
    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 85, 36, 145,
    145, 110, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3,
    41, 62, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 103,
    95, 225, 227, 116, 85, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    37, 89, 46, 29, 64, 159, 76, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 18, 34, 20, 34, 31, 0, 75, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 22, 68, 61, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 50, 1, 35, 45, 58, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 1, 21, 35, 147, 183, 94, 23, 17, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 60, 125, 143, 66, 4, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 12, 2, 15, 0, 0, 7, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 19, 102, 156, 169, 107, 59, 1, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 78, 123, 60, 138, 148,
    61, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 86, 1, 59,
    83, 22, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 0, 129,
    132, 93, 10, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28,
    49, 46, 131, 95, 43, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 34, 56, 83, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 6, 24, 5, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 1, 64, 9, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 32, 81, 100, 0, 0, 16, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 29, 61, 11, 61, 77, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 23, 85, 128, 133, 107, 36, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 15, 53, 21, 57, 55, 24, 2, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 7, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 15, 23, 94, 57, 31, 1, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 6, 0, 0, 4, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 33, 3, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 83, 102, 55, 10, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 17, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 21, 32, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 25, 14, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 61, 80, 108, 66, 15, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 40, 3, 3, 0, 1, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 76, 96, 63, 48, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 6, 0, 2, 46, 39, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 15, 1, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 32, 89, 29, 14, 3,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ;

 air_pressure = 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
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    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
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    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
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    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
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    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
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    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007, 1007,
    1007, 1007, 1007 ;

 relative_humidity = 0.9, 0.91, 0.91, 0.92, 0.94, 0.95, 0.96, 0.98, 1, 0.98,
    0.97, 0.95, 0.95, 0.96, 0.97, 0.97, 0.97, 0.96, 0.96, 0.95, 0.94, 0.94,
    0.93, 0.92, 0.92, 0.92, 0.92, 0.93, 0.94, 0.95, 0.96, 0.97, 1, 0.96,
    0.93, 0.92, 0.91, 0.9, 0.91, 0.92, 0.93, 0.94, 0.94, 0.94, 0.95, 0.95,
    0.95, 0.95, 0.95, 0.95, 0.95, 0.95, 0.96, 0.96, 0.97, 0.98, 1, 0.85,
    0.76, 0.72, 0.67, 0.69, 0.66, 0.7, 0.7, 0.7, 0.71, 0.71, 0.71, 0.71,
    0.71, 0.71, 0.71, 0.73, 0.75, 0.77, 0.79, 0.81, 0.84, 0.87, 0.92, 0.81,
    0.77, 0.79, 0.75, 0.74, 0.74, 0.77, 0.78, 0.8, 0.81, 0.83, 0.84, 0.85,
    0.86, 0.88, 0.88, 0.89, 0.9, 0.9, 0.91, 0.93, 0.94, 0.95, 0.96, 0.9,
    0.86, 0.84, 0.82, 0.81, 0.83, 0.84, 0.85, 0.86, 0.86, 0.87, 0.87, 0.87,
    0.88, 0.88, 0.88, 0.89, 0.9, 0.91, 0.92, 0.93, 0.95, 0.97, 0.98, 0.96,
    0.96, 0.95, 0.94, 0.94, 0.94, 0.94, 0.95, 0.95, 0.95, 0.95, 0.95, 0.95,
    0.95, 0.94, 0.94, 0.94, 0.94, 0.95, 0.95, 0.96, 0.97, 0.98, 1, 0.9, 0.81,
    0.79, 0.77, 0.78, 0.8, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87, 0.87, 0.88,
    0.88, 0.88, 0.89, 0.9, 0.91, 0.92, 0.94, 0.96, 0.98, 0.99, 0.97, 0.96,
    0.93, 0.9, 0.9, 0.91, 0.92, 0.93, 0.93, 0.93, 0.93, 0.93, 0.92, 0.92,
    0.92, 0.92, 0.92, 0.93, 0.93, 0.94, 0.95, 0.96, 0.98, 1, 1, 1, 1, 0.99,
    0.98, 0.97, 0.98, 0.99, 0.99, 0.99, 0.99, 0.99, 0.99, 0.99, 0.99, 0.98,
    0.98, 0.97, 0.97, 0.98, 0.98, 1, 1, 1, 0.97, 0.96, 0.94, 0.92, 0.91, 0.9,
    0.91, 0.91, 0.92, 0.92, 0.92, 0.91, 0.91, 0.91, 0.91, 0.9, 0.91, 0.92,
    0.92, 0.93, 0.95, 0.96, 0.97, 1, 0.78, 0.7, 0.63, 0.6, 0.56, 0.55, 0.59,
    0.6, 0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.66, 0.68, 0.71, 0.73,
    0.76, 0.79, 0.83, 0.86, 0.94, 0.93, 0.88, 0.82, 0.79, 0.83, 0.9, 0.94,
    0.95, 0.95, 0.96, 0.96, 0.96, 0.96, 0.96, 0.96, 0.92, 0.92, 0.92, 0.92,
    0.92, 0.96, 0.97, 0.97, 0.97, 0.93, 0.87, 0.82, 0.74, 0.72, 0.72, 0.75,
    0.76, 0.77, 0.78, 0.79, 0.8, 0.81, 0.81, 0.82, 0.81, 0.83, 0.85, 0.87,
    0.89, 0.94, 0.95, 0.97, 0.98, 0.97, 0.92, 0.88, 0.86, 0.89, 0.88, 0.88,
    0.89, 0.89, 0.89, 0.9, 0.9, 0.9, 0.9, 0.9, 0.93, 0.94, 0.95, 0.97, 0.99,
    0.98, 1, 1, 1, 1, 1, 0.99, 0.97, 0.98, 0.95, 0.96, 0.97, 0.98, 0.98,
    0.98, 0.98, 0.99, 0.99, 0.99, 0.98, 0.97, 0.97, 0.97, 0.97, 0.98, 0.99,
    1, 1, 0.88, 0.78, 0.75, 0.74, 0.73, 0.73, 0.79, 0.8, 0.81, 0.82, 0.83,
    0.84, 0.85, 0.86, 0.86, 0.83, 0.84, 0.85, 0.86, 0.88, 0.93, 0.94, 0.94,
    0.95, 0.91, 0.87, 0.84, 0.84, 0.87, 0.88, 0.9, 0.9, 0.91, 0.91, 0.91,
    0.91, 0.91, 0.91, 0.91, 0.92, 0.93, 0.94, 0.95, 0.97, 0.98, 1, 1, 1,
    0.82, 0.71, 0.65, 0.68, 0.68, 0.69, 0.73, 0.75, 0.76, 0.77, 0.78, 0.79,
    0.8, 0.81, 0.82, 0.83, 0.85, 0.86, 0.88, 0.9, 0.92, 0.94, 0.97, 0.99,
    0.76, 0.72, 0.66, 0.63, 0.62, 0.62, 0.66, 0.68, 0.69, 0.71, 0.73, 0.75,
    0.76, 0.78, 0.8, 0.81, 0.82, 0.84, 0.86, 0.88, 0.92, 0.95, 0.98, 1, 0.83,
    0.76, 0.74, 0.74, 0.74, 0.79, 0.86, 0.92, 0.92, 0.93, 0.93, 0.93, 0.93,
    0.92, 0.92, 0.91, 0.91, 0.91, 0.91, 0.91, 0.94, 0.95, 0.96, 0.97, 0.89,
    0.83, 0.75, 0.73, 0.77, 0.83, 0.87, 0.91, 0.9, 0.9, 0.89, 0.89, 0.88,
    0.87, 0.87, 0.85, 0.87, 0.88, 0.9, 0.91, 0.95, 0.96, 0.97, 0.96, 0.95,
    0.92, 0.91, 0.89, 0.88, 0.88, 0.88, 0.88, 0.87, 0.86, 0.86, 0.85, 0.84,
    0.83, 0.82, 0.88, 0.9, 0.93, 0.96, 0.99, 0.98, 1, 1, 1, 0.88, 0.79, 0.72,
    0.63, 0.58, 0.56, 0.58, 0.62, 0.63, 0.65, 0.67, 0.68, 0.7, 0.72, 0.73,
    0.82, 0.84, 0.88, 0.91, 0.95, 0.92, 0.98, 1, 0.98, 0.86, 0.7, 0.61, 0.58,
    0.55, 0.55, 0.59, 0.66, 0.68, 0.7, 0.72, 0.74, 0.76, 0.78, 0.79, 0.81,
    0.83, 0.85, 0.86, 0.89, 0.91, 0.94, 0.98, 0.93, 0.81, 0.69, 0.61, 0.57,
    0.55, 0.55, 0.6, 0.68, 0.7, 0.71, 0.73, 0.75, 0.76, 0.78, 0.79, 0.77,
    0.78, 0.8, 0.81, 0.83, 0.9, 0.92, 0.94, 0.91, 0.84, 0.73, 0.63, 0.56,
    0.56, 0.54, 0.57, 0.64, 0.65, 0.67, 0.68, 0.69, 0.7, 0.71, 0.72, 0.71,
    0.74, 0.76, 0.79, 0.83, 0.9, 0.92, 0.94, 0.93, 0.91, 0.88, 0.85, 0.84,
    0.82, 0.82, 0.83, 0.84, 0.85, 0.86, 0.86, 0.87, 0.87, 0.87, 0.88, 0.91,
    0.92, 0.94, 0.96, 0.98, 0.98, 1, 1, 1, 0.93, 0.89, 0.78, 0.77, 0.81,
    0.79, 0.82, 0.86, 0.87, 0.88, 0.89, 0.89, 0.9, 0.9, 0.91, 0.92, 0.92,
    0.93, 0.94, 0.95, 0.96, 0.98, 1, 0.96, 0.89, 0.83, 0.71, 0.7, 0.65, 0.68,
    0.74, 0.8, 0.81, 0.81, 0.82, 0.82, 0.82, 0.83, 0.83, 0.82, 0.83, 0.85,
    0.87, 0.88, 0.93, 0.95, 0.97, 0.96, 0.97, 0.95, 0.95, 0.94, 0.96, 0.97,
    0.98, 0.99, 1, 1, 1, 0.99, 0.99, 0.99, 0.99, 0.97, 0.97, 0.96, 0.96,
    0.96, 0.98, 0.98, 0.98, 0.96, 0.93, 0.87, 0.83, 0.84, 0.84, 0.83, 0.83,
    0.85, 0.86, 0.87, 0.87, 0.87, 0.88, 0.88, 0.88, 0.89, 0.9, 0.91, 0.92,
    0.94, 0.95, 0.97, 0.99, 0.98, 0.94, 0.91, 0.88, 0.89, 0.88, 0.89, 0.9,
    0.92, 0.92, 0.92, 0.93, 0.93, 0.93, 0.93, 0.93, 0.93, 0.93, 0.94, 0.94,
    0.94, 0.95, 0.96, 0.97, 0.93, 0.91, 0.88, 0.84, 0.82, 0.82, 0.83, 0.83,
    0.84, 0.85, 0.85, 0.85, 0.85, 0.86, 0.86, 0.86, 0.87, 0.88, 0.89, 0.9,
    0.91, 0.93, 0.95, 0.97, 0.93, 0.93, 0.9, 0.86, 0.79, 0.76, 0.74, 0.73,
    0.74, 0.74, 0.74, 0.74, 0.73, 0.73, 0.72, 0.72, 0.74, 0.76, 0.79, 0.82,
    0.85, 0.88, 0.92, 0.96, 0.98, 0.96, 0.85, 0.87, 0.85, 0.85, 0.87, 0.91,
    0.97, 0.97, 0.97, 0.97, 0.97, 0.97, 0.97, 0.97, 0.92, 0.91, 0.9, 0.89,
    0.89, 0.92, 0.91, 0.89, 0.86, 0.81, 0.78, 0.77, 0.74, 0.73, 0.74, 0.75,
    0.76, 0.76, 0.76, 0.76, 0.76, 0.76, 0.76, 0.75, 0.8, 0.83, 0.87, 0.9,
    0.94, 0.96, 1, 1, 1, 0.92, 0.82, 0.75, 0.72, 0.71, 0.72, 0.75, 0.8, 0.82,
    0.83, 0.84, 0.85, 0.86, 0.86, 0.87, 0.87, 0.86, 0.86, 0.86, 0.87, 0.88,
    0.88, 0.88, 0.85, 0.77, 0.69, 0.62, 0.6, 0.58, 0.59, 0.6, 0.62, 0.64,
    0.65, 0.67, 0.68, 0.69, 0.71, 0.72, 0.76, 0.79, 0.82, 0.85, 0.88, 0.91,
    0.95, 0.99, 0.91, 0.82, 0.79, 0.76, 0.75, 0.75, 0.77, 0.79, 0.83, 0.84,
    0.85, 0.86, 0.87, 0.88, 0.89, 0.89, 0.9, 0.9, 0.91, 0.91, 0.92, 0.92,
    0.94, 0.96, 0.9, 0.87, 0.87, 0.87, 0.86, 0.86, 0.88, 0.91, 0.93, 0.94,
    0.94, 0.94, 0.94, 0.94, 0.94, 0.94, 0.92, 0.92, 0.93, 0.93, 0.93, 0.96,
    0.96, 0.97, 0.95, 0.92, 0.85, 0.78, 0.71, 0.7, 0.74, 0.75, 0.78, 0.78,
    0.79, 0.8, 0.8, 0.8, 0.81, 0.81, 0.82, 0.83, 0.85, 0.87, 0.89, 0.92,
    0.94, 0.96, 0.88, 0.82, 0.78, 0.75, 0.76, 0.76, 0.75, 0.75, 0.78, 0.79,
    0.8, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87, 0.88, 0.9, 0.91, 0.93, 0.94,
    0.97, 0.99, 0.93, 0.87, 0.82, 0.77, 0.76, 0.79, 0.79, 0.79, 0.84, 0.85,
    0.86, 0.87, 0.88, 0.88, 0.89, 0.9, 0.88, 0.88, 0.88, 0.89, 0.89, 0.92,
    0.95, 0.93, 0.81, 0.69, 0.59, 0.56, 0.54, 0.53, 0.52, 0.5, 0.51, 0.52,
    0.52, 0.53, 0.53, 0.54, 0.54, 0.55, 0.58, 0.63, 0.67, 0.73, 0.79, 0.85,
    0.92, 0.93, 0.91, 0.83, 0.76, 0.71, 0.69, 0.68, 0.68, 0.72, 0.79, 0.81,
    0.83, 0.85, 0.88, 0.9, 0.92, 0.94, 0.89, 0.88, 0.87, 0.86, 0.85, 0.88,
    0.88, 0.89, 0.91, 0.91, 0.92, 0.93, 0.93, 0.96, 0.99, 1, 1, 1, 1, 0.99,
    0.97, 0.94, 0.92, 0.9, 0.83, 0.84, 0.85, 0.87, 0.88, 0.98, 0.98, 0.98,
    0.98, 0.99, 0.98, 0.98, 1, 1, 1, 1, 1, 1, 1, 1, 0.99, 0.99, 0.98, 0.98,
    0.96, 0.96, 0.96, 0.96, 0.97, 0.98, 0.97, 0.97, 0.9, 0.82, 0.78, 0.76,
    0.75, 0.76, 0.74, 0.74, 0.75, 0.75, 0.76, 0.76, 0.77, 0.77, 0.77, 0.77,
    0.84, 0.87, 0.9, 0.93, 0.97, 0.96, 1, 1, 0.98, 0.9, 0.81, 0.76, 0.77,
    0.81, 0.86, 0.89, 0.94, 0.94, 0.94, 0.94, 0.95, 0.95, 0.95, 0.95, 0.93,
    0.92, 0.92, 0.91, 0.91, 0.92, 0.92, 0.93, 0.79, 0.74, 0.74, 0.74, 0.7,
    0.69, 0.68, 0.68, 0.71, 0.76, 0.77, 0.78, 0.79, 0.8, 0.8, 0.81, 0.81,
    0.82, 0.84, 0.86, 0.88, 0.92, 0.95, 0.97, 0.88, 0.81, 0.76, 0.73, 0.72,
    0.68, 0.7, 0.72, 0.73, 0.79, 0.8, 0.81, 0.82, 0.83, 0.84, 0.85, 0.85,
    0.86, 0.87, 0.88, 0.89, 0.92, 0.94, 0.95, 0.8, 0.76, 0.66, 0.63, 0.6,
    0.61, 0.61, 0.59, 0.63, 0.68, 0.69, 0.7, 0.71, 0.71, 0.72, 0.73, 0.74,
    0.76, 0.79, 0.81, 0.84, 0.88, 0.91, 0.93, 0.86, 0.78, 0.74, 0.66, 0.62,
    0.63, 0.61, 0.62, 0.65, 0.69, 0.7, 0.7, 0.71, 0.72, 0.72, 0.73, 0.76,
    0.78, 0.81, 0.84, 0.87, 0.9, 0.94, 0.94, 0.92, 0.88, 0.83, 0.8, 0.76,
    0.8, 0.82, 0.83, 0.85, 0.87, 0.88, 0.88, 0.89, 0.89, 0.9, 0.9, 0.9, 0.91,
    0.92, 0.93, 0.94, 0.95, 0.95, 0.95, 0.91, 0.83, 0.76, 0.73, 0.67, 0.65,
    0.66, 0.65, 0.67, 0.69, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.82, 0.85,
    0.88, 0.91, 0.94, 0.94, 0.98, 0.95, 0.85, 0.74, 0.66, 0.6, 0.53, 0.49,
    0.47, 0.48, 0.52, 0.58, 0.6, 0.62, 0.64, 0.66, 0.68, 0.7, 0.72, 0.75,
    0.77, 0.8, 0.83, 0.86, 0.9, 0.89, 0.79, 0.71, 0.66, 0.69, 0.7, 0.73,
    0.75, 0.77, 0.8, 0.83, 0.84, 0.85, 0.85, 0.86, 0.87, 0.88, 0.87, 0.87,
    0.88, 0.89, 0.9, 0.94, 0.95, 0.94, 0.92, 0.79, 0.69, 0.62, 0.58, 0.58,
    0.57, 0.56, 0.59, 0.64, 0.66, 0.67, 0.69, 0.7, 0.71, 0.73, 0.73, 0.76,
    0.78, 0.81, 0.84, 0.9, 0.93, 0.91, 0.86, 0.83, 0.78, 0.74, 0.69, 0.68,
    0.7, 0.72, 0.74, 0.76, 0.77, 0.78, 0.79, 0.8, 0.81, 0.82, 0.86, 0.88,
    0.89, 0.91, 0.92, 0.94, 0.96, 0.95, 0.94, 0.93, 0.9, 0.87, 0.85, 0.85,
    0.85, 0.84, 0.85, 0.87, 0.87, 0.88, 0.88, 0.89, 0.89, 0.9, 0.9, 0.91,
    0.92, 0.92, 0.93, 0.94, 0.95, 0.92, 0.9, 0.85, 0.78, 0.77, 0.77, 0.8,
    0.78, 0.78, 0.78, 0.8, 0.8, 0.81, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87,
    0.88, 0.9, 0.91, 0.93, 0.94, 0.92, 0.91, 0.89, 0.86, 0.84, 0.83, 0.81,
    0.81, 0.81, 0.82, 0.84, 0.84, 0.85, 0.86, 0.87, 0.87, 0.88, 0.89, 0.89,
    0.9, 0.91, 0.92, 0.93, 0.94, 0.93, 0.92, 0.89, 0.83, 0.82, 0.82, 0.81,
    0.79, 0.8, 0.81, 0.83, 0.83, 0.84, 0.85, 0.85, 0.86, 0.86, 0.87, 0.88,
    0.89, 0.9, 0.92, 0.93, 0.94, 0.89, 0.84, 0.82, 0.76, 0.72, 0.65, 0.61,
    0.6, 0.6, 0.62, 0.65, 0.67, 0.68, 0.7, 0.71, 0.72, 0.74, 0.76, 0.78, 0.8,
    0.82, 0.84, 0.87, 0.89, 0.84, 0.76, 0.7, 0.65, 0.6, 0.57, 0.55, 0.55,
    0.56, 0.59, 0.64, 0.66, 0.68, 0.7, 0.72, 0.74, 0.76, 0.76, 0.77, 0.79,
    0.81, 0.83, 0.87, 0.89, 0.83, 0.76, 0.69, 0.64, 0.63, 0.65, 0.67, 0.65,
    0.64, 0.66, 0.69, 0.7, 0.71, 0.73, 0.74, 0.76, 0.77, 0.8, 0.82, 0.84,
    0.86, 0.89, 0.91, 0.93, 0.9, 0.82, 0.76, 0.75, 0.72, 0.69, 0.67, 0.69,
    0.71, 0.75, 0.79, 0.8, 0.81, 0.82, 0.83, 0.84, 0.84, 0.83, 0.84, 0.85,
    0.86, 0.88, 0.91, 0.93, 0.9, 0.89, 0.85, 0.85, 0.84, 0.81, 0.8, 0.8,
    0.81, 0.84, 0.86, 0.87, 0.87, 0.88, 0.88, 0.88, 0.89, 0.88, 0.89, 0.9,
    0.91, 0.92, 0.94, 0.95, 0.91, 0.87, 0.84, 0.84, 0.83, 0.79, 0.77, 0.78,
    0.79, 0.79, 0.8, 0.81, 0.82, 0.83, 0.84, 0.85, 0.85, 0.87, 0.89, 0.9,
    0.91, 0.93, 0.94, 0.96, 0.91, 0.84, 0.74, 0.66, 0.62, 0.59, 0.58, 0.56,
    0.59, 0.63, 0.68, 0.7, 0.71, 0.72, 0.73, 0.75, 0.76, 0.77, 0.79, 0.8,
    0.82, 0.84, 0.87, 0.9, 0.88, 0.82, 0.84, 0.84, 0.84, 0.81, 0.8, 0.8,
    0.79, 0.81, 0.84, 0.85, 0.86, 0.87, 0.88, 0.89, 0.9, 0.88, 0.88, 0.89,
    0.89, 0.9, 0.94, 0.94, 0.89, 0.86, 0.84, 0.83, 0.83, 0.83, 0.84, 0.85,
    0.86, 0.85, 0.86, 0.86, 0.86, 0.86, 0.86, 0.86, 0.86, 0.89, 0.9, 0.92,
    0.94, 0.95, 0.96, 0.98, 0.86, 0.83, 0.78, 0.7, 0.65, 0.59, 0.56, 0.56,
    0.58, 0.6, 0.64, 0.66, 0.68, 0.69, 0.71, 0.72, 0.74, 0.77, 0.79, 0.82,
    0.84, 0.87, 0.88, 0.93, 0.83, 0.76, 0.68, 0.64, 0.6, 0.56, 0.55, 0.54,
    0.57, 0.61, 0.68, 0.7, 0.71, 0.73, 0.75, 0.76, 0.78, 0.75, 0.76, 0.77,
    0.78, 0.8, 0.85, 0.87, 0.84, 0.82, 0.79, 0.8, 0.82, 0.82, 0.83, 0.83,
    0.84, 0.85, 0.88, 0.88, 0.89, 0.9, 0.9, 0.91, 0.92, 0.89, 0.9, 0.9, 0.91,
    0.92, 0.95, 0.95, 0.89, 0.83, 0.78, 0.71, 0.65, 0.62, 0.6, 0.59, 0.61,
    0.62, 0.65, 0.66, 0.68, 0.69, 0.71, 0.72, 0.74, 0.78, 0.81, 0.84, 0.87,
    0.9, 0.91, 0.95, 0.87, 0.87, 0.81, 0.77, 0.69, 0.64, 0.61, 0.6, 0.62,
    0.64, 0.68, 0.69, 0.71, 0.73, 0.74, 0.76, 0.78, 0.8, 0.82, 0.84, 0.86,
    0.88, 0.89, 0.91, 0.86, 0.77, 0.71, 0.68, 0.68, 0.65, 0.62, 0.6, 0.59,
    0.6, 0.62, 0.64, 0.66, 0.68, 0.7, 0.72, 0.74, 0.79, 0.81, 0.84, 0.87,
    0.9, 0.91, 0.92, 0.89, 0.86, 0.81, 0.79, 0.71, 0.68, 0.67, 0.67, 0.68,
    0.7, 0.72, 0.74, 0.76, 0.77, 0.79, 0.81, 0.83, 0.83, 0.85, 0.86, 0.88,
    0.9, 0.92, 0.93, 0.92, 0.87, 0.84, 0.83, 0.78, 0.76, 0.72, 0.7, 0.69,
    0.71, 0.75, 0.76, 0.78, 0.79, 0.8, 0.81, 0.82, 0.82, 0.83, 0.85, 0.87,
    0.89, 0.92, 0.91, 0.91, 0.83, 0.77, 0.72, 0.67, 0.65, 0.62, 0.62, 0.62,
    0.64, 0.67, 0.7, 0.72, 0.73, 0.75, 0.76, 0.78, 0.8, 0.82, 0.84, 0.86,
    0.89, 0.91, 0.91, 0.88, 0.87, 0.84, 0.82, 0.8, 0.76, 0.75, 0.75, 0.75,
    0.76, 0.78, 0.81, 0.82, 0.83, 0.84, 0.85, 0.87, 0.87, 0.88, 0.89, 0.9,
    0.92, 0.94, 0.91, 0.84, 0.83, 0.79, 0.76, 0.71, 0.69, 0.69, 0.65, 0.63,
    0.65, 0.66, 0.67, 0.69, 0.7, 0.71, 0.73, 0.74, 0.81, 0.84, 0.87, 0.91,
    0.94, 0.94, 0.91, 0.88, 0.78, 0.68, 0.6, 0.54, 0.49, 0.47, 0.46, 0.46,
    0.48, 0.53, 0.59, 0.61, 0.64, 0.66, 0.69, 0.71, 0.71, 0.73, 0.76, 0.78,
    0.8, 0.85, 0.84, 0.82, 0.8, 0.8, 0.83, 0.83, 0.83, 0.82, 0.81, 0.85,
    0.88, 0.9, 0.93, 0.93, 0.93, 0.92, 0.92, 0.92, 0.88, 0.88, 0.88, 0.89,
    0.89, 0.95, 0.92, 0.88, 0.87, 0.84, 0.8, 0.79, 0.77, 0.76, 0.75, 0.74,
    0.74, 0.74, 0.75, 0.75, 0.76, 0.77, 0.77, 0.78, 0.84, 0.87, 0.89, 0.92,
    0.96, 0.95, 0.93, 0.91, 0.85, 0.79, 0.71, 0.63, 0.56, 0.51, 0.49, 0.48,
    0.49, 0.51, 0.55, 0.57, 0.59, 0.62, 0.64, 0.67, 0.72, 0.76, 0.79, 0.83,
    0.87, 0.89, 0.88, 0.79, 0.71, 0.62, 0.54, 0.54, 0.54, 0.58, 0.62, 0.64,
    0.65, 0.68, 0.73, 0.75, 0.76, 0.78, 0.8, 0.82, 0.81, 0.82, 0.83, 0.85,
    0.86, 0.9, 0.85, 0.84, 0.83, 0.85, 0.76, 0.7, 0.65, 0.64, 0.62, 0.59,
    0.61, 0.64, 0.67, 0.69, 0.71, 0.72, 0.74, 0.76, 0.78, 0.8, 0.83, 0.86,
    0.88, 0.92, 0.87, 0.81, 0.74, 0.66, 0.56, 0.48, 0.42, 0.38, 0.39, 0.38,
    0.36, 0.38, 0.4, 0.42, 0.45, 0.47, 0.51, 0.54, 0.68, 0.73, 0.78, 0.84,
    0.9, 0.92, 0.91, 0.88, 0.84, 0.78, 0.69, 0.62, 0.57, 0.55, 0.52, 0.52,
    0.56, 0.6, 0.66, 0.69, 0.72, 0.74, 0.76, 0.79, 0.79, 0.81, 0.83, 0.86,
    0.89, 0.92, 0.86, 0.81, 0.73, 0.63, 0.56, 0.52, 0.48, 0.46, 0.45, 0.46,
    0.48, 0.51, 0.56, 0.59, 0.63, 0.65, 0.68, 0.71, 0.75, 0.78, 0.81, 0.85,
    0.9, 0.92, 0.88, 0.81, 0.72, 0.64, 0.58, 0.51, 0.47, 0.45, 0.44, 0.45,
    0.49, 0.54, 0.61, 0.65, 0.68, 0.7, 0.72, 0.75, 0.74, 0.76, 0.78, 0.81,
    0.84, 0.89, 0.87, 0.86, 0.79, 0.72, 0.67, 0.61, 0.6, 0.61, 0.62, 0.64,
    0.69, 0.75, 0.83, 0.85, 0.86, 0.87, 0.87, 0.88, 0.81, 0.81, 0.82, 0.82,
    0.84, 0.91, 0.89, 0.86, 0.81, 0.78, 0.74, 0.71, 0.69, 0.68, 0.66, 0.66,
    0.68, 0.7, 0.72, 0.74, 0.76, 0.77, 0.78, 0.79, 0.83, 0.85, 0.88, 0.91,
    0.95, 0.96, 0.97, 0.94, 0.88, 0.83, 0.77, 0.67, 0.62, 0.6, 0.59, 0.61,
    0.64, 0.69, 0.75, 0.78, 0.8, 0.81, 0.82, 0.84, 0.81, 0.82, 0.83, 0.85,
    0.87, 0.91, 0.85, 0.78, 0.72, 0.68, 0.66, 0.62, 0.58, 0.6, 0.62, 0.62,
    0.63, 0.65, 0.67, 0.7, 0.72, 0.74, 0.75, 0.77, 0.81, 0.83, 0.86, 0.89,
    0.93, 0.94, 0.86, 0.79, 0.71, 0.63, 0.58, 0.53, 0.49, 0.46, 0.45, 0.46,
    0.49, 0.53, 0.59, 0.62, 0.65, 0.68, 0.7, 0.73, 0.75, 0.77, 0.8, 0.83,
    0.86, 0.9, 0.84, 0.85, 0.85, 0.79, 0.72, 0.66, 0.63, 0.64, 0.64, 0.66,
    0.68, 0.71, 0.77, 0.8, 0.82, 0.84, 0.85, 0.87, 0.83, 0.83, 0.84, 0.85,
    0.87, 0.93, 0.84, 0.82, 0.79, 0.8, 0.76, 0.73, 0.72, 0.69, 0.67, 0.66,
    0.68, 0.71, 0.75, 0.77, 0.79, 0.81, 0.82, 0.83, 0.84, 0.85, 0.87, 0.89,
    0.92, 0.95, 0.86, 0.78, 0.74, 0.66, 0.59, 0.55, 0.51, 0.48, 0.46, 0.45,
    0.46, 0.49, 0.51, 0.54, 0.57, 0.6, 0.62, 0.65, 0.74, 0.78, 0.82, 0.87,
    0.92, 0.92, 0.84, 0.76, 0.68, 0.58, 0.5, 0.44, 0.4, 0.38, 0.36, 0.37,
    0.4, 0.44, 0.49, 0.53, 0.56, 0.6, 0.63, 0.66, 0.71, 0.74, 0.78, 0.82,
    0.87, 0.89, 0.8, 0.77, 0.71, 0.66, 0.59, 0.52, 0.49, 0.47, 0.46, 0.48,
    0.51, 0.56, 0.63, 0.67, 0.7, 0.73, 0.76, 0.78, 0.76, 0.77, 0.79, 0.82,
    0.85, 0.9, 0.86, 0.84, 0.79, 0.78, 0.74, 0.71, 0.71, 0.7, 0.67, 0.67,
    0.7, 0.72, 0.75, 0.78, 0.8, 0.82, 0.83, 0.84, 0.85, 0.87, 0.89, 0.92,
    0.94, 0.96, 0.96, 0.96, 0.94, 0.88, 0.84, 0.78, 0.75, 0.73, 0.75, 0.76,
    0.77, 0.8, 0.83, 0.85, 0.86, 0.87, 0.88, 0.88, 0.88, 0.89, 0.9, 0.92,
    0.94, 0.96, 0.94, 0.92, 0.9, 0.87, 0.86, 0.84, 0.83, 0.81, 0.81, 0.81,
    0.83, 0.85, 0.86, 0.88, 0.9, 0.91, 0.92, 0.92, 0.93, 0.94, 0.96, 0.98, 1,
    0.97, 0.93, 0.85, 0.8, 0.75, 0.67, 0.64, 0.61, 0.6, 0.6, 0.61, 0.64,
    0.68, 0.72, 0.75, 0.78, 0.8, 0.82, 0.83, 0.87, 0.89, 0.91, 0.94, 0.97,
    0.94, 0.95, 0.91, 0.88, 0.79, 0.72, 0.69, 0.66, 0.68, 0.68, 0.72, 0.75,
    0.78, 0.82, 0.84, 0.85, 0.86, 0.87, 0.88, 0.87, 0.88, 0.89, 0.91, 0.93,
    0.95, 0.95, 0.94, 0.92, 0.9, 0.89, 0.88, 0.87, 0.87, 0.86, 0.87, 0.88,
    0.9, 0.91, 0.92, 0.93, 0.94, 0.94, 0.95, 0.95, 0.95, 0.96, 0.98, 0.99,
    0.98, 0.95, 0.95, 0.94, 0.89, 0.83, 0.81, 0.78, 0.77, 0.76, 0.77, 0.79,
    0.82, 0.85, 0.87, 0.88, 0.89, 0.9, 0.91, 0.91, 0.91, 0.92, 0.93, 0.95,
    0.96, 0.96, 0.93, 0.89, 0.85, 0.83, 0.81, 0.8, 0.79, 0.78, 0.79, 0.8,
    0.83, 0.85, 0.87, 0.88, 0.9, 0.9, 0.91, 0.92, 0.93, 0.95, 0.97, 0.99,
    0.97, 0.94, 0.88, 0.84, 0.81, 0.8, 0.77, 0.72, 0.69, 0.67, 0.66, 0.66,
    0.69, 0.73, 0.76, 0.79, 0.81, 0.83, 0.85, 0.86, 0.88, 0.9, 0.93, 0.96,
    0.94, 0.91, 0.83, 0.78, 0.67, 0.65, 0.63, 0.62, 0.6, 0.57, 0.56, 0.58,
    0.61, 0.65, 0.69, 0.72, 0.75, 0.78, 0.8, 0.85, 0.88, 0.91, 0.95, 0.99,
    0.94, 0.91, 0.88, 0.8, 0.72, 0.67, 0.62, 0.58, 0.56, 0.55, 0.56, 0.59,
    0.63, 0.7, 0.73, 0.76, 0.79, 0.81, 0.83, 0.81, 0.82, 0.83, 0.85, 0.87,
    0.91, 0.89, 0.86, 0.83, 0.79, 0.76, 0.7, 0.64, 0.62, 0.62, 0.62, 0.62,
    0.64, 0.68, 0.71, 0.74, 0.77, 0.79, 0.81, 0.83, 0.86, 0.89, 0.93, 0.97,
    0.95, 0.92, 0.87, 0.8, 0.76, 0.71, 0.7, 0.68, 0.68, 0.66, 0.67, 0.7,
    0.73, 0.75, 0.79, 0.82, 0.84, 0.87, 0.89, 0.91, 0.93, 0.95, 0.98, 1,
    0.95, 0.88, 0.8, 0.7, 0.61, 0.52, 0.45, 0.41, 0.38, 0.36, 0.36, 0.38,
    0.41, 0.46, 0.5, 0.55, 0.59, 0.64, 0.69, 0.76, 0.81, 0.87, 0.92, 0.98,
    0.9, 0.84, 0.75, 0.66, 0.59, 0.52, 0.47, 0.44, 0.4, 0.38, 0.38, 0.39,
    0.42, 0.46, 0.52, 0.57, 0.62, 0.67, 0.72, 0.76, 0.81, 0.85, 0.9, 0.95,
    0.9, 0.82, 0.73, 0.62, 0.56, 0.49, 0.45, 0.42, 0.4, 0.39, 0.39, 0.41,
    0.45, 0.5, 0.56, 0.61, 0.66, 0.7, 0.75, 0.77, 0.81, 0.84, 0.88, 0.93,
    0.9, 0.89, 0.78, 0.75, 0.72, 0.68, 0.62, 0.57, 0.54, 0.52, 0.52, 0.55,
    0.6, 0.67, 0.73, 0.76, 0.78, 0.8, 0.82, 0.75, 0.76, 0.78, 0.81, 0.9,
    0.86, 0.84, 0.82, 0.79, 0.73, 0.67, 0.6, 0.56, 0.53, 0.51, 0.5, 0.51,
    0.53, 0.57, 0.62, 0.65, 0.68, 0.71, 0.74, 0.75, 0.78, 0.82, 0.86, 0.91,
    0.88, 0.82, 0.75, 0.65, 0.6, 0.58, 0.56, 0.54, 0.54, 0.55, 0.55, 0.56,
    0.59, 0.64, 0.69, 0.73, 0.77, 0.81, 0.84, 0.85, 0.87, 0.89, 0.92, 0.95,
    0.89, 0.82, 0.76, 0.69, 0.65, 0.62, 0.57, 0.55, 0.52, 0.5, 0.5, 0.52,
    0.55, 0.59, 0.63, 0.67, 0.71, 0.74, 0.78, 0.82, 0.85, 0.88, 0.92, 0.97,
    0.88, 0.84, 0.75, 0.7, 0.64, 0.57, 0.53, 0.49, 0.48, 0.47, 0.48, 0.51,
    0.55, 0.6, 0.65, 0.69, 0.73, 0.76, 0.8, 0.81, 0.83, 0.86, 0.89, 0.93,
    0.87, 0.81, 0.76, 0.7, 0.62, 0.56, 0.52, 0.48, 0.46, 0.48, 0.49, 0.51,
    0.55, 0.6, 0.65, 0.68, 0.71, 0.75, 0.78, 0.79, 0.82, 0.86, 0.89, 0.94,
    0.87, 0.83, 0.78, 0.72, 0.67, 0.61, 0.57, 0.53, 0.53, 0.53, 0.53, 0.55,
    0.58, 0.63, 0.69, 0.72, 0.75, 0.78, 0.8, 0.79, 0.8, 0.82, 0.84, 0.86,
    0.88, 0.85, 0.83, 0.82, 0.81, 0.78, 0.76, 0.75, 0.73, 0.72, 0.72, 0.72,
    0.73, 0.73, 0.73, 0.73, 0.72, 0.71, 0.7, 0.8, 0.85, 0.9, 0.96, 0.96,
    0.88, 0.82, 0.76, 0.71, 0.63, 0.57, 0.51, 0.48, 0.47, 0.47, 0.48, 0.51,
    0.55, 0.61, 0.66, 0.7, 0.73, 0.77, 0.8, 0.82, 0.83, 0.86, 0.89, 0.92,
    0.88, 0.82, 0.77, 0.73, 0.68, 0.66, 0.62, 0.56, 0.52, 0.49, 0.49, 0.5,
    0.52, 0.56, 0.6, 0.63, 0.66, 0.69, 0.72, 0.76, 0.79, 0.82, 0.87, 0.89,
    0.81, 0.77, 0.71, 0.65, 0.6, 0.62, 0.62, 0.65, 0.64, 0.63, 0.64, 0.65,
    0.68, 0.73, 0.79, 0.83, 0.86, 0.89, 0.92, 0.88, 0.88, 0.89, 0.9, 0.92,
    0.9, 0.85, 0.83, 0.79, 0.72, 0.69, 0.65, 0.63, 0.65, 0.67, 0.68, 0.69,
    0.71, 0.74, 0.76, 0.79, 0.81, 0.82, 0.84, 0.87, 0.9, 0.93, 0.96, 0.99,
    0.92, 0.88, 0.83, 0.79, 0.74, 0.74, 0.71, 0.69, 0.71, 0.74, 0.77, 0.8,
    0.82, 0.84, 0.86, 0.88, 0.89, 0.9, 0.9, 0.9, 0.91, 0.92, 0.93, 0.94,
    0.93, 0.87, 0.82, 0.72, 0.66, 0.61, 0.58, 0.57, 0.59, 0.61, 0.64, 0.67,
    0.71, 0.75, 0.77, 0.79, 0.8, 0.81, 0.82, 0.83, 0.85, 0.88, 0.9, 0.91,
    0.91, 0.88, 0.86, 0.83, 0.8, 0.77, 0.76, 0.75, 0.71, 0.69, 0.67, 0.67,
    0.68, 0.7, 0.72, 0.76, 0.79, 0.81, 0.84, 0.86, 0.89, 0.93, 0.97, 0.98,
    0.93, 0.86, 0.76, 0.67, 0.59, 0.51, 0.45, 0.4, 0.37, 0.36, 0.36, 0.37,
    0.39, 0.44, 0.48, 0.53, 0.58, 0.62, 0.67, 0.73, 0.78, 0.84, 0.9, 0.89,
    0.84, 0.82, 0.79, 0.73, 0.62, 0.54, 0.48, 0.44, 0.41, 0.41, 0.42, 0.44,
    0.47, 0.52, 0.57, 0.62, 0.66, 0.69, 0.73, 0.73, 0.76, 0.79, 0.83, 0.84,
    0.87, 0.8, 0.74, 0.68, 0.64, 0.6, 0.56, 0.54, 0.52, 0.51, 0.52, 0.51,
    0.52, 0.53, 0.55, 0.58, 0.62, 0.65, 0.69, 0.82, 0.88, 0.94, 0.92, 0.9,
    0.85, 0.78, 0.68, 0.59, 0.51, 0.44, 0.38, 0.35, 0.33, 0.33, 0.33, 0.34,
    0.38, 0.42, 0.47, 0.52, 0.57, 0.62, 0.67, 0.7, 0.75, 0.82, 0.89, 0.88,
    0.86, 0.8, 0.75, 0.68, 0.61, 0.55, 0.5, 0.47, 0.45, 0.44, 0.45, 0.48,
    0.52, 0.59, 0.66, 0.7, 0.74, 0.77, 0.81, 0.77, 0.79, 0.81, 0.84, 0.84,
    0.85, 0.79, 0.75, 0.68, 0.61, 0.52, 0.47, 0.44, 0.42, 0.41, 0.4, 0.4,
    0.42, 0.45, 0.49, 0.54, 0.6, 0.65, 0.71, 0.77, 0.82, 0.88, 0.94, 0.92,
    0.87, 0.82, 0.75, 0.67, 0.59, 0.52, 0.47, 0.44, 0.41, 0.39, 0.39, 0.4,
    0.43, 0.46, 0.5, 0.55, 0.6, 0.65, 0.71, 0.77, 0.82, 0.88, 0.94, 0.92,
    0.87, 0.81, 0.72, 0.64, 0.57, 0.5, 0.44, 0.4, 0.38, 0.37, 0.37, 0.39,
    0.42, 0.47, 0.52, 0.57, 0.62, 0.66, 0.71, 0.72, 0.76, 0.8, 0.84, 0.85,
    0.84, 0.79, 0.69, 0.62, 0.56, 0.5, 0.46, 0.45, 0.44, 0.46, 0.47, 0.48,
    0.51, 0.55, 0.59, 0.64, 0.69, 0.74, 0.78, 0.81, 0.85, 0.89, 0.94, 0.92,
    0.88, 0.83, 0.79, 0.72, 0.65, 0.6, 0.54, 0.51, 0.52, 0.53, 0.55, 0.57,
    0.61, 0.64, 0.68, 0.72, 0.76, 0.8, 0.83, 0.86, 0.89, 0.93, 0.97, 0.94,
    0.89, 0.82, 0.77, 0.7, 0.67, 0.62, 0.58, 0.53, 0.5, 0.48, 0.46, 0.49,
    0.52, 0.56, 0.61, 0.66, 0.69, 0.73, 0.77, 0.79, 0.83, 0.86, 0.9, 0.89,
    0.87, 0.82, 0.82, 0.76, 0.68, 0.61, 0.56, 0.53, 0.52, 0.53, 0.53, 0.53,
    0.56, 0.59, 0.63, 0.67, 0.71, 0.75, 0.78, 0.79, 0.82, 0.85, 0.88, 0.87,
    0.89, 0.89, 0.88, 0.82, 0.78, 0.72, 0.68, 0.63, 0.59, 0.55, 0.54, 0.54,
    0.56, 0.59, 0.63, 0.67, 0.71, 0.75, 0.78, 0.81, 0.86, 0.91, 0.97, 0.94,
    0.91, 0.9, 0.85, 0.78, 0.7, 0.64, 0.57, 0.54, 0.51, 0.5, 0.52, 0.54,
    0.57, 0.6, 0.64, 0.68, 0.72, 0.76, 0.8, 0.83, 0.86, 0.89, 0.93, 0.92,
    0.88, 0.81, 0.76, 0.73, 0.72, 0.7, 0.69, 0.73, 0.72, 0.71, 0.71, 0.73,
    0.76, 0.79, 0.82, 0.85, 0.87, 0.89, 0.91, 0.91, 0.92, 0.93, 0.94, 0.94,
    0.93, 0.89, 0.87, 0.83, 0.8, 0.79, 0.75, 0.75, 0.74, 0.74, 0.74, 0.75,
    0.77, 0.79, 0.81, 0.84, 0.87, 0.89, 0.91, 0.92, 0.94, 0.96, 0.98, 0.97,
    0.94, 0.87, 0.8, 0.75, 0.74, 0.7, 0.67, 0.63, 0.62, 0.59, 0.57, 0.58,
    0.6, 0.62, 0.65, 0.68, 0.72, 0.74, 0.77, 0.84, 0.87, 0.9, 0.89, 0.86,
    0.85, 0.78, 0.74, 0.72, 0.71, 0.7, 0.66, 0.65, 0.64, 0.62, 0.62, 0.64,
    0.65, 0.69, 0.74, 0.79, 0.82, 0.85, 0.87, 0.84, 0.84, 0.85, 0.87, 0.87,
    0.9, 0.88, 0.86, 0.84, 0.82, 0.8, 0.79, 0.8, 0.8, 0.8, 0.81, 0.82, 0.83,
    0.85, 0.86, 0.87, 0.89, 0.9, 0.91, 0.93, 0.95, 0.98, 1, 1, 0.95, 0.88,
    0.82, 0.78, 0.74, 0.7, 0.68, 0.64, 0.61, 0.6, 0.61, 0.64, 0.65, 0.66,
    0.69, 0.7, 0.73, 0.76, 0.79, 0.89, 0.92, 0.95, 0.9, 0.87, 0.82, 0.81,
    0.79, 0.76, 0.7, 0.63, 0.59, 0.59, 0.59, 0.59, 0.62, 0.62, 0.65, 0.69,
    0.74, 0.79, 0.82, 0.85, 0.88, 0.86, 0.86, 0.87, 0.89, 0.89, 0.9, 0.87,
    0.83, 0.79, 0.77, 0.76, 0.73, 0.71, 0.68, 0.64, 0.63, 0.64, 0.67, 0.7,
    0.72, 0.74, 0.76, 0.79, 0.81, 0.85, 0.88, 0.91, 0.95, 0.95, 0.93, 0.89,
    0.87, 0.82, 0.75, 0.68, 0.64, 0.59, 0.57, 0.55, 0.57, 0.59, 0.62, 0.66,
    0.7, 0.74, 0.77, 0.79, 0.81, 0.82, 0.84, 0.87, 0.91, 0.91, 0.9, 0.9, 0.9,
    0.89, 0.87, 0.84, 0.77, 0.73, 0.71, 0.71, 0.73, 0.73, 0.76, 0.79, 0.82,
    0.85, 0.86, 0.87, 0.88, 0.87, 0.89, 0.9, 0.92, 0.93, 0.94, 0.93, 0.92,
    0.91, 0.89, 0.88, 0.86, 0.85, 0.84, 0.84, 0.84, 0.85, 0.87, 0.88, 0.89,
    0.89, 0.9, 0.91, 0.92, 0.95, 0.97, 1, 1, 1, 0.97, 0.95, 0.91, 0.88, 0.82,
    0.78, 0.75, 0.74, 0.72, 0.71, 0.71, 0.72, 0.73, 0.77, 0.82, 0.86, 0.87,
    0.89, 0.9, 0.87, 0.87, 0.87, 0.87, 0.88, 0.9, 0.91, 0.91, 0.89, 0.88,
    0.87, 0.86, 0.84, 0.83, 0.83, 0.83, 0.83, 0.85, 0.85, 0.86, 0.86, 0.86,
    0.86, 0.86, 0.9, 0.94, 0.99, 1, 1, 0.97, 0.91, 0.87, 0.82, 0.78, 0.73,
    0.67, 0.64, 0.63, 0.62, 0.61, 0.62, 0.64, 0.67, 0.71, 0.75, 0.79, 0.83,
    0.87, 0.89, 0.9, 0.93, 0.95, 0.93, 0.89, 0.84, 0.8, 0.73, 0.67, 0.62,
    0.58, 0.57, 0.55, 0.57, 0.6, 0.63, 0.66, 0.69, 0.72, 0.76, 0.78, 0.81,
    0.84, 0.86, 0.88, 0.91, 0.94, 0.93, 0.9, 0.8, 0.74, 0.67, 0.6, 0.53,
    0.48, 0.44, 0.41, 0.4, 0.39, 0.4, 0.42, 0.44, 0.47, 0.49, 0.54, 0.59,
    0.64, 0.77, 0.82, 0.88, 0.86, 0.83, 0.78, 0.7, 0.62, 0.56, 0.5, 0.45,
    0.41, 0.38, 0.36, 0.35, 0.35, 0.37, 0.39, 0.43, 0.48, 0.53, 0.58, 0.63,
    0.68, 0.7, 0.76, 0.82, 0.88, 0.86, 0.85, 0.81, 0.75, 0.69, 0.63, 0.57,
    0.52, 0.49, 0.46, 0.45, 0.45, 0.47, 0.5, 0.54, 0.58, 0.63, 0.68, 0.73,
    0.78, 0.81, 0.85, 0.89, 0.95, 0.91, 0.87, 0.82, 0.75, 0.7, 0.64, 0.59,
    0.54, 0.5, 0.46, 0.45, 0.44, 0.45, 0.48, 0.52, 0.56, 0.6, 0.65, 0.7,
    0.76, 0.8, 0.84, 0.89, 0.94, 0.92, 0.86, 0.8, 0.74, 0.67, 0.61, 0.56,
    0.52, 0.49, 0.46, 0.46, 0.46, 0.48, 0.52, 0.57, 0.63, 0.68, 0.73, 0.77,
    0.81, 0.79, 0.81, 0.84, 0.87, 0.86, 0.85, 0.84, 0.8, 0.73, 0.67, 0.63,
    0.63, 0.64, 0.64, 0.64, 0.66, 0.69, 0.71, 0.76, 0.81, 0.86, 0.88, 0.91,
    0.93, 0.87, 0.87, 0.86, 0.87, 0.84, 0.89, 0.84, 0.78, 0.73, 0.69, 0.65,
    0.62, 0.59, 0.57, 0.59, 0.59, 0.59, 0.6, 0.62, 0.64, 0.66, 0.71, 0.75,
    0.79, 0.86, 0.91, 0.96, 1, 0.99, 0.91, 0.84, 0.76, 0.68, 0.61, 0.55, 0.5,
    0.47, 0.44, 0.43, 0.43, 0.44, 0.46, 0.5, 0.54, 0.58, 0.63, 0.69, 0.74,
    0.79, 0.84, 0.88, 0.94, 0.9, 0.84, 0.78, 0.72, 0.66, 0.59, 0.54, 0.5,
    0.46, 0.44, 0.43, 0.43, 0.44, 0.46, 0.49, 0.53, 0.57, 0.62, 0.67, 0.72,
    0.76, 0.8, 0.85, 0.9, 0.87, 0.86, 0.84, 0.78, 0.72, 0.63, 0.55, 0.52,
    0.5, 0.48, 0.47, 0.47, 0.49, 0.51, 0.55, 0.6, 0.64, 0.68, 0.73, 0.77,
    0.78, 0.81, 0.84, 0.88, 0.88, 0.87, 0.87, 0.79, 0.72, 0.66, 0.62, 0.56,
    0.51, 0.48, 0.49, 0.51, 0.52, 0.54, 0.57, 0.6, 0.63, 0.67, 0.71, 0.74,
    0.78, 0.82, 0.87, 0.92, 0.92, 0.88, 0.86, 0.81, 0.76, 0.7, 0.65, 0.6,
    0.56, 0.54, 0.53, 0.55, 0.59, 0.62, 0.65, 0.7, 0.74, 0.77, 0.79, 0.81,
    0.8, 0.81, 0.83, 0.86, 0.87, 0.88, 0.81, 0.77, 0.74, 0.7, 0.66, 0.61,
    0.56, 0.55, 0.56, 0.56, 0.56, 0.57, 0.59, 0.63, 0.66, 0.7, 0.73, 0.77,
    0.81, 0.84, 0.88, 0.93, 0.93, 0.9, 0.87, 0.83, 0.78, 0.74, 0.72, 0.69,
    0.68, 0.65, 0.65, 0.66, 0.68, 0.69, 0.71, 0.72, 0.73, 0.76, 0.79, 0.81,
    0.88, 0.92, 0.96, 1, 1, 0.94, 0.87, 0.78, 0.7, 0.63, 0.57, 0.53, 0.49,
    0.47, 0.47, 0.46, 0.47, 0.49, 0.52, 0.56, 0.6, 0.66, 0.71, 0.76, 0.81,
    0.85, 0.89, 0.94, 0.91, 0.86, 0.81, 0.76, 0.71, 0.65, 0.59, 0.54, 0.5,
    0.48, 0.47, 0.46, 0.48, 0.51, 0.56, 0.61, 0.66, 0.7, 0.74, 0.78, 0.78,
    0.8, 0.83, 0.87, 0.86, 0.85, 0.82, 0.81, 0.78, 0.74, 0.68, 0.65, 0.61,
    0.62, 0.6, 0.63, 0.66, 0.69, 0.72, 0.75, 0.78, 0.8, 0.82, 0.84, 0.85,
    0.87, 0.89, 0.92, 0.92, 0.92, 0.89, 0.86, 0.79, 0.73, 0.65, 0.57, 0.52,
    0.48, 0.47, 0.45, 0.45, 0.45, 0.46, 0.49, 0.51, 0.55, 0.59, 0.64, 0.73,
    0.79, 0.85, 0.86, 0.83, 0.78, 0.75, 0.7, 0.63, 0.57, 0.51, 0.47, 0.43,
    0.41, 0.4, 0.4, 0.41, 0.44, 0.48, 0.53, 0.58, 0.63, 0.68, 0.73, 0.74,
    0.78, 0.83, 0.88, 0.86, 0.85, 0.82, 0.77, 0.7, 0.64, 0.58, 0.53, 0.51,
    0.48, 0.47, 0.47, 0.48, 0.51, 0.54, 0.59, 0.63, 0.68, 0.73, 0.77, 0.78,
    0.82, 0.85, 0.9, 0.88, 0.88, 0.84, 0.82, 0.76, 0.69, 0.64, 0.6, 0.53,
    0.49, 0.48, 0.48, 0.48, 0.49, 0.52, 0.56, 0.59, 0.63, 0.68, 0.73, 0.77,
    0.82, 0.87, 0.93, 0.93, 0.89, 0.89, 0.88, 0.8, 0.72, 0.66, 0.61, 0.6,
    0.6, 0.61, 0.62, 0.65, 0.68, 0.71, 0.76, 0.8, 0.82, 0.85, 0.87, 0.85,
    0.85, 0.86, 0.88, 0.89, 0.91, 0.92, 0.92, 0.89, 0.83, 0.79, 0.76, 0.75,
    0.74, 0.76, 0.77, 0.79, 0.81, 0.82, 0.83, 0.85, 0.86, 0.87, 0.88, 0.89,
    0.91, 0.93, 0.96, 0.96, 0.95, 0.95, 0.93, 0.92, 0.88, 0.86, 0.83, 0.81,
    0.79, 0.79, 0.79, 0.81, 0.84, 0.86, 0.88, 0.89, 0.91, 0.91, 0.92, 0.92,
    0.93, 0.94, 0.96, 0.95, 0.95, 0.92, 0.89, 0.85, 0.84, 0.79, 0.79, 0.76,
    0.74, 0.74, 0.77, 0.8, 0.83, 0.86, 0.89, 0.92, 0.92, 0.92, 0.92, 0.9,
    0.9, 0.91, 0.92, 0.93, 0.94, 0.95, 0.95, 0.91, 0.86, 0.84, 0.82, 0.79,
    0.77, 0.77, 0.77, 0.79, 0.81, 0.83, 0.86, 0.88, 0.89, 0.9, 0.91, 0.9,
    0.91, 0.92, 0.94, 0.95, 0.95, 0.89, 0.85, 0.82, 0.78, 0.74, 0.68, 0.63,
    0.61, 0.6, 0.61, 0.61, 0.61, 0.62, 0.64, 0.65, 0.69, 0.74, 0.78, 0.87,
    0.93, 0.99, 1, 1, 0.93, 0.87, 0.79, 0.71, 0.62, 0.54, 0.48, 0.44, 0.41,
    0.39, 0.39, 0.39, 0.41, 0.44, 0.48, 0.52, 0.58, 0.63, 0.69, 0.75, 0.8,
    0.86, 0.92, 0.92, 0.85, 0.78, 0.7, 0.62, 0.56, 0.5, 0.45, 0.42, 0.39,
    0.39, 0.39, 0.4, 0.43, 0.46, 0.51, 0.55, 0.6, 0.66, 0.71, 0.74, 0.79,
    0.84, 0.9, 0.88, 0.84, 0.81, 0.75, 0.7, 0.63, 0.58, 0.53, 0.49, 0.46,
    0.45, 0.45, 0.47, 0.51, 0.56, 0.61, 0.66, 0.7, 0.73, 0.77, 0.76, 0.78,
    0.8, 0.83, 0.84, 0.85, 0.83, 0.81, 0.76, 0.71, 0.65, 0.62, 0.6, 0.58,
    0.61, 0.62, 0.64, 0.65, 0.67, 0.69, 0.7, 0.74, 0.77, 0.8, 0.84, 0.88,
    0.93, 0.98, 0.98, 0.93, 0.9, 0.84, 0.78, 0.73, 0.68, 0.65, 0.61, 0.6,
    0.6, 0.59, 0.6, 0.63, 0.64, 0.67, 0.68, 0.72, 0.75, 0.78, 0.87, 0.9,
    0.94, 0.91, 0.9, 0.87, 0.81, 0.75, 0.67, 0.62, 0.56, 0.51, 0.47, 0.45,
    0.43, 0.43, 0.44, 0.47, 0.51, 0.55, 0.6, 0.65, 0.7, 0.75, 0.78, 0.81,
    0.85, 0.9, 0.89, 0.85, 0.81, 0.74, 0.67, 0.59, 0.53, 0.48, 0.44, 0.41,
    0.4, 0.4, 0.42, 0.45, 0.49, 0.54, 0.59, 0.63, 0.68, 0.73, 0.74, 0.78,
    0.82, 0.87, 0.86, 0.85, 0.79, 0.73, 0.67, 0.62, 0.57, 0.53, 0.5, 0.48,
    0.48, 0.48, 0.5, 0.53, 0.57, 0.62, 0.68, 0.71, 0.75, 0.78, 0.75, 0.76,
    0.78, 0.8, 0.81, 0.86, 0.87, 0.83, 0.76, 0.71, 0.71, 0.69, 0.66, 0.65,
    0.64, 0.64, 0.63, 0.64, 0.66, 0.7, 0.73, 0.76, 0.79, 0.82, 0.82, 0.85,
    0.89, 0.93, 0.93, 0.92, 0.89, 0.84, 0.78, 0.76, 0.72, 0.66, 0.6, 0.58,
    0.58, 0.58, 0.58, 0.58, 0.6, 0.61, 0.62, 0.66, 0.7, 0.74, 0.85, 0.91,
    0.98, 1, 1, 0.93, 0.88, 0.83, 0.76, 0.69, 0.63, 0.59, 0.55, 0.54, 0.54,
    0.55, 0.58, 0.63, 0.7, 0.78, 0.81, 0.83, 0.86, 0.88, 0.79, 0.78, 0.78,
    0.78, 0.79, 0.84, 0.78, 0.76, 0.68, 0.63, 0.6, 0.58, 0.57, 0.58, 0.6,
    0.63, 0.66, 0.67, 0.69, 0.72, 0.75, 0.77, 0.8, 0.82, 0.82, 0.84, 0.86,
    0.88, 0.89, 0.9, 0.9, 0.89, 0.85, 0.81, 0.78, 0.77, 0.76, 0.75, 0.74,
    0.75, 0.75, 0.76, 0.78, 0.79, 0.82, 0.84, 0.85, 0.87, 0.89, 0.91, 0.93,
    0.96, 0.97, 0.96, 0.94, 0.91, 0.86, 0.82, 0.81, 0.79, 0.79, 0.77, 0.76,
    0.74, 0.74, 0.75, 0.75, 0.76, 0.79, 0.82, 0.84, 0.86, 0.89, 0.91, 0.94,
    0.97, 0.97, 0.95, 0.92, 0.92, 0.89, 0.85, 0.8, 0.77, 0.7, 0.67, 0.64,
    0.63, 0.62, 0.62, 0.65, 0.67, 0.7, 0.73, 0.75, 0.77, 0.82, 0.86, 0.9,
    0.95, 0.96, 0.92, 0.87, 0.81, 0.76, 0.72, 0.69, 0.66, 0.62, 0.62, 0.63,
    0.65, 0.67, 0.69, 0.72, 0.75, 0.78, 0.82, 0.85, 0.88, 0.89, 0.91, 0.93,
    0.96, 0.99, 0.92, 0.94, 0.92, 0.92, 0.89, 0.86, 0.81, 0.75, 0.72, 0.71,
    0.72, 0.74, 0.77, 0.79, 0.82, 0.84, 0.85, 0.86, 0.87, 0.89, 0.91, 0.93,
    0.96, 0.99, 0.93, 0.9, 0.82, 0.75, 0.7, 0.64, 0.61, 0.58, 0.55, 0.54,
    0.54, 0.56, 0.59, 0.64, 0.69, 0.73, 0.76, 0.79, 0.81, 0.81, 0.83, 0.86,
    0.89, 0.92, 0.87, 0.87, 0.84, 0.8, 0.78, 0.73, 0.71, 0.71, 0.68, 0.66,
    0.68, 0.69, 0.72, 0.76, 0.8, 0.82, 0.84, 0.86, 0.88, 0.87, 0.88, 0.89,
    0.91, 0.93, 0.91, 0.89, 0.85, 0.81, 0.76, 0.71, 0.65, 0.61, 0.57, 0.55,
    0.54, 0.56, 0.58, 0.6, 0.63, 0.66, 0.69, 0.72, 0.75, 0.82, 0.87, 0.92,
    0.98, 1, 0.92, 0.88, 0.81, 0.75, 0.69, 0.63, 0.58, 0.54, 0.52, 0.51,
    0.51, 0.53, 0.55, 0.6, 0.65, 0.69, 0.73, 0.76, 0.8, 0.82, 0.84, 0.87,
    0.9, 0.94, 0.86, 0.81, 0.71, 0.62, 0.55, 0.48, 0.43, 0.39, 0.37, 0.36,
    0.35, 0.36, 0.37, 0.4, 0.43, 0.47, 0.51, 0.54, 0.58, 0.74, 0.78, 0.83,
    0.88, 0.88, 0.84, 0.76, 0.69, 0.6, 0.53, 0.47, 0.43, 0.39, 0.37, 0.36,
    0.37, 0.38, 0.41, 0.46, 0.51, 0.55, 0.6, 0.64, 0.69, 0.72, 0.76, 0.8,
    0.84, 0.89, 0.82, 0.75, 0.68, 0.6, 0.52, 0.47, 0.43, 0.4, 0.38, 0.37,
    0.38, 0.4, 0.43, 0.48, 0.52, 0.57, 0.61, 0.65, 0.7, 0.73, 0.77, 0.81,
    0.85, 0.9, 0.84, 0.79, 0.74, 0.67, 0.61, 0.54, 0.5, 0.46, 0.43, 0.42,
    0.42, 0.44, 0.47, 0.52, 0.57, 0.62, 0.67, 0.72, 0.76, 0.78, 0.81, 0.85,
    0.88, 0.93, 0.89, 0.86, 0.81, 0.75, 0.69, 0.63, 0.57, 0.52, 0.49, 0.49,
    0.49, 0.5, 0.54, 0.58, 0.64, 0.68, 0.72, 0.75, 0.79, 0.81, 0.83, 0.87,
    0.9, 0.94, 0.91, 0.84, 0.76, 0.68, 0.61, 0.56, 0.51, 0.48, 0.46, 0.46,
    0.46, 0.48, 0.51, 0.56, 0.62, 0.66, 0.7, 0.73, 0.77, 0.77, 0.79, 0.82,
    0.85, 0.88, 0.9, 0.88, 0.78, 0.72, 0.65, 0.61, 0.62, 0.62, 0.63, 0.61,
    0.61, 0.61, 0.64, 0.68, 0.72, 0.75, 0.78, 0.81, 0.83, 0.85, 0.87, 0.9,
    0.93, 0.96, 0.95, 0.95, 0.9, 0.87, 0.83, 0.78, 0.75, 0.75, 0.72, 0.67,
    0.65, 0.67, 0.69, 0.74, 0.79, 0.81, 0.83, 0.84, 0.85, 0.84, 0.85, 0.86,
    0.88, 0.91, 0.93, 0.93, 0.9, 0.88, 0.83, 0.81, 0.78, 0.77, 0.75, 0.72,
    0.72, 0.72, 0.73, 0.74, 0.75, 0.78, 0.8, 0.82, 0.83, 0.88, 0.91, 0.94,
    0.97, 1, 0.97, 0.96, 0.91, 0.83, 0.78, 0.71, 0.67, 0.66, 0.65, 0.64,
    0.62, 0.63, 0.68, 0.74, 0.79, 0.81, 0.84, 0.85, 0.87, 0.85, 0.86, 0.88,
    0.9, 0.92, 0.92, 0.89, 0.87, 0.8, 0.77, 0.78, 0.78, 0.76, 0.74, 0.74,
    0.76, 0.77, 0.81, 0.84, 0.87, 0.89, 0.9, 0.9, 0.91, 0.9, 0.9, 0.91, 0.92,
    0.93, 0.95, 0.93, 0.91, 0.88, 0.86, 0.8, 0.76, 0.74, 0.7, 0.7, 0.71,
    0.73, 0.74, 0.77, 0.8, 0.82, 0.84, 0.85, 0.86, 0.87, 0.89, 0.91, 0.93,
    0.96, 0.95, 0.95, 0.91, 0.84, 0.81, 0.79, 0.73, 0.69, 0.66, 0.63, 0.62,
    0.61, 0.64, 0.66, 0.68, 0.72, 0.75, 0.77, 0.8, 0.85, 0.89, 0.93, 0.97, 1,
    0.95, 0.92, 0.85, 0.8, 0.77, 0.73, 0.71, 0.69, 0.67, 0.65, 0.66, 0.67,
    0.7, 0.74, 0.79, 0.82, 0.85, 0.87, 0.89, 0.88, 0.89, 0.9, 0.91, 0.93,
    0.92, 0.91, 0.84, 0.8, 0.74, 0.69, 0.67, 0.64, 0.63, 0.62, 0.61, 0.61,
    0.64, 0.68, 0.72, 0.75, 0.77, 0.8, 0.82, 0.84, 0.86, 0.88, 0.91, 0.94,
    0.93, 0.91, 0.9, 0.84, 0.83, 0.79, 0.74, 0.7, 0.69, 0.7, 0.71, 0.73,
    0.74, 0.76, 0.78, 0.8, 0.82, 0.84, 0.85, 0.88, 0.9, 0.93, 0.96, 0.99,
    0.96, 0.93, 0.86, 0.79, 0.74, 0.69, 0.64, 0.62, 0.61, 0.61, 0.63, 0.67,
    0.72, 0.78, 0.84, 0.86, 0.87, 0.88, 0.89, 0.85, 0.85, 0.85, 0.86, 0.86,
    0.91, 0.89, 0.86, 0.83, 0.77, 0.74, 0.74, 0.73, 0.73, 0.74, 0.75, 0.75,
    0.76, 0.77, 0.78, 0.8, 0.81, 0.82, 0.82, 0.86, 0.89, 0.92, 0.95, 0.99,
    0.97, 0.94, 0.88, 0.81, 0.73, 0.68, 0.63, 0.59, 0.56, 0.54, 0.54, 0.56,
    0.61, 0.65, 0.71, 0.74, 0.76, 0.78, 0.8, 0.8, 0.82, 0.83, 0.86, 0.88,
    0.9, 0.87, 0.82, 0.77, 0.72, 0.67, 0.63, 0.59, 0.58, 0.58, 0.6, 0.63,
    0.63, 0.65, 0.67, 0.7, 0.72, 0.75, 0.77, 0.82, 0.86, 0.9, 0.94, 0.98,
    0.95, 0.9, 0.84, 0.77, 0.69, 0.62, 0.55, 0.5, 0.46, 0.44, 0.43, 0.44,
    0.47, 0.5, 0.54, 0.58, 0.62, 0.66, 0.69, 0.75, 0.79, 0.84, 0.89, 0.94,
    0.9, 0.86, 0.79, 0.74, 0.68, 0.59, 0.53, 0.49, 0.46, 0.44, 0.44, 0.46,
    0.49, 0.53, 0.57, 0.61, 0.65, 0.69, 0.72, 0.76, 0.79, 0.83, 0.87, 0.92,
    0.9, 0.86, 0.84, 0.78, 0.74, 0.68, 0.63, 0.57, 0.54, 0.51, 0.51, 0.52,
    0.56, 0.6, 0.64, 0.68, 0.71, 0.73, 0.76, 0.77, 0.8, 0.83, 0.87, 0.91,
    0.91, 0.89, 0.88, 0.84, 0.8, 0.74, 0.69, 0.63, 0.6, 0.59, 0.59, 0.61,
    0.63, 0.68, 0.71, 0.74, 0.76, 0.78, 0.8, 0.8, 0.82, 0.85, 0.87, 0.9,
    0.93, 0.92, 0.92, 0.87, 0.81, 0.8, 0.8, 0.78, 0.73, 0.73, 0.75, 0.77,
    0.8, 0.85, 0.86, 0.88, 0.89, 0.9, 0.9, 0.87, 0.87, 0.88, 0.89, 0.9, 0.94,
    0.93, 0.91, 0.91, 0.85, 0.83, 0.78, 0.76, 0.73, 0.71, 0.69, 0.68, 0.68,
    0.69, 0.72, 0.73, 0.75, 0.76, 0.77, 0.84, 0.88, 0.92, 0.96, 1, 0.97,
    0.93, 0.87, 0.84, 0.77, 0.7, 0.64, 0.61, 0.59, 0.57, 0.58, 0.61, 0.65,
    0.7, 0.73, 0.76, 0.78, 0.8, 0.82, 0.84, 0.85, 0.87, 0.9, 0.92, 0.91,
    0.88, 0.81, 0.73, 0.66, 0.58, 0.52, 0.48, 0.46, 0.44, 0.45, 0.47, 0.5,
    0.55, 0.59, 0.62, 0.65, 0.68, 0.71, 0.74, 0.77, 0.8, 0.84, 0.88, 0.89,
    0.86, 0.83, 0.8, 0.73, 0.65, 0.6, 0.56, 0.52, 0.49, 0.49, 0.51, 0.54,
    0.58, 0.61, 0.64, 0.67, 0.7, 0.72, 0.76, 0.79, 0.83, 0.88, 0.92, 0.92,
    0.91, 0.88, 0.83, 0.77, 0.7, 0.66, 0.62, 0.6, 0.6, 0.61, 0.64, 0.69,
    0.74, 0.76, 0.78, 0.8, 0.82, 0.83, 0.81, 0.82, 0.83, 0.85, 0.87, 0.91,
    0.9, 0.87, 0.82, 0.8, 0.76, 0.76, 0.75, 0.75, 0.77, 0.79, 0.83, 0.86,
    0.89, 0.9, 0.91, 0.91, 0.92, 0.92, 0.89, 0.89, 0.9, 0.91, 0.92, 0.95,
    0.94, 0.91, 0.88, 0.86, 0.8, 0.75, 0.7, 0.66, 0.62, 0.62, 0.63, 0.65,
    0.66, 0.68, 0.7, 0.72, 0.74, 0.75, 0.83, 0.85, 0.88, 0.91, 0.95, 0.96,
    0.89, 0.9, 0.89, 0.85, 0.81, 0.7, 0.65, 0.63, 0.62, 0.62, 0.64, 0.67,
    0.71, 0.74, 0.77, 0.79, 0.81, 0.83, 0.85, 0.87, 0.89, 0.92, 0.95, 0.96,
    0.9, 0.85, 0.78, 0.7, 0.62, 0.58, 0.55, 0.53, 0.52, 0.53, 0.56, 0.61,
    0.66, 0.7, 0.73, 0.75, 0.78, 0.8, 0.8, 0.82, 0.84, 0.87, 0.9, 0.93, 0.89,
    0.85, 0.8, 0.74, 0.75, 0.79, 0.78, 0.72, 0.68, 0.68, 0.7, 0.75, 0.81,
    0.83, 0.85, 0.87, 0.88, 0.89, 0.86, 0.86, 0.87, 0.88, 0.9, 0.95, 0.93,
    0.93, 0.92, 0.9, 0.88, 0.85, 0.83, 0.81, 0.81, 0.82, 0.83, 0.84, 0.86,
    0.87, 0.88, 0.89, 0.9, 0.9, 0.91, 0.93, 0.94, 0.96, 0.98, 0.99, 0.96,
    0.91, 0.88, 0.86, 0.83, 0.8, 0.77, 0.75, 0.75, 0.76, 0.75, 0.77, 0.79,
    0.82, 0.84, 0.85, 0.86, 0.88, 0.91, 0.92, 0.93, 0.95, 0.97, 0.98, 0.94,
    0.89, 0.83, 0.77, 0.76, 0.76, 0.74, 0.7, 0.68, 0.67, 0.69, 0.71, 0.74,
    0.76, 0.79, 0.81, 0.82, 0.84, 0.88, 0.9, 0.92, 0.94, 0.97, 0.97, 0.91,
    0.84, 0.76, 0.68, 0.64, 0.58, 0.55, 0.54, 0.56, 0.6, 0.63, 0.67, 0.72,
    0.75, 0.77, 0.79, 0.81, 0.82, 0.84, 0.85, 0.87, 0.89, 0.92, 0.94, 0.87,
    0.8, 0.76, 0.71, 0.65, 0.59, 0.54, 0.52, 0.51, 0.52, 0.54, 0.59, 0.64,
    0.67, 0.7, 0.73, 0.75, 0.77, 0.8, 0.82, 0.85, 0.88, 0.92, 0.94, 0.9,
    0.85, 0.82, 0.78, 0.72, 0.66, 0.61, 0.59, 0.61, 0.63, 0.66, 0.7, 0.75,
    0.78, 0.8, 0.82, 0.83, 0.85, 0.85, 0.86, 0.88, 0.9, 0.93, 0.96, 0.93,
    0.86, 0.76, 0.69, 0.64, 0.59, 0.56, 0.53, 0.52, 0.54, 0.57, 0.6, 0.63,
    0.66, 0.69, 0.71, 0.73, 0.75, 0.81, 0.84, 0.87, 0.91, 0.94, 0.95, 0.91,
    0.84, 0.75, 0.67, 0.6, 0.55, 0.5, 0.48, 0.48, 0.49, 0.53, 0.58, 0.64,
    0.68, 0.71, 0.74, 0.77, 0.79, 0.8, 0.82, 0.84, 0.86, 0.89, 0.92, 0.86,
    0.78, 0.73, 0.65, 0.58, 0.52, 0.48, 0.46, 0.45, 0.45, 0.48, 0.53, 0.59,
    0.63, 0.66, 0.69, 0.71, 0.74, 0.76, 0.78, 0.81, 0.85, 0.89, 0.93, 0.89,
    0.82, 0.74, 0.68, 0.61, 0.55, 0.51, 0.49, 0.49, 0.51, 0.55, 0.61, 0.68,
    0.71, 0.73, 0.76, 0.78, 0.79, 0.78, 0.8, 0.82, 0.84, 0.87, 0.92, 0.87,
    0.8, 0.72, 0.66, 0.6, 0.58, 0.56, 0.54, 0.53, 0.56, 0.6, 0.65, 0.7, 0.73,
    0.75, 0.77, 0.79, 0.8, 0.81, 0.82, 0.84, 0.87, 0.9, 0.93, 0.93, 0.93,
    0.91, 0.85, 0.81, 0.78, 0.76, 0.75, 0.73, 0.72, 0.73, 0.76, 0.8, 0.82,
    0.84, 0.85, 0.87, 0.88, 0.88, 0.89, 0.91, 0.92, 0.95, 0.97, 0.95, 0.93,
    0.93, 0.92, 0.89, 0.83, 0.76, 0.72, 0.69, 0.67, 0.68, 0.7, 0.72, 0.74,
    0.76, 0.77, 0.78, 0.79, 0.84, 0.87, 0.9, 0.94, 0.97, 0.98, 0.95, 0.93,
    0.87, 0.82, 0.75, 0.71, 0.69, 0.69, 0.69, 0.73, 0.79, 0.84, 0.87, 0.89,
    0.9, 0.91, 0.92, 0.93, 0.89, 0.89, 0.89, 0.89, 0.9, 0.94, 0.93, 0.91,
    0.9, 0.88, 0.88, 0.85, 0.84, 0.83, 0.82, 0.82, 0.84, 0.86, 0.88, 0.89,
    0.9, 0.91, 0.91, 0.91, 0.91, 0.91, 0.93, 0.94, 0.96, 0.99, 0.99, 0.99,
    0.98, 0.96, 0.95, 0.94, 0.93, 0.92, 0.92, 0.92, 0.94, 0.95, 0.96, 0.97,
    0.98, 0.98, 0.98, 0.97, 0.97, 0.97, 0.97, 0.97, 0.98, 1, 1, 1, 1, 1,
    0.99, 0.98, 0.97, 0.96, 0.96, 0.97, 0.97, 0.98, 0.99, 1, 1, 1, 0.99,
    0.99, 0.98, 0.98, 0.98, 0.99, 0.99, 1, 1, 0.99, 0.98, 0.94, 0.92, 0.9,
    0.87, 0.84, 0.83, 0.82, 0.82, 0.83, 0.84, 0.84, 0.84, 0.84, 0.84, 0.83,
    0.89, 0.91, 0.94, 0.97, 1, 0.99, 0.98, 0.93, 0.84, 0.8, 0.74, 0.67, 0.63,
    0.6, 0.6, 0.61, 0.64, 0.7, 0.73, 0.76, 0.78, 0.8, 0.82, 0.83, 0.84, 0.85,
    0.87, 0.88, 0.91, 0.93, 0.92, 0.86, 0.81, 0.75, 0.69, 0.64, 0.6, 0.58,
    0.58, 0.59, 0.63, 0.68, 0.71, 0.74, 0.76, 0.78, 0.8, 0.81, 0.81, 0.82,
    0.84, 0.86, 0.89, 0.93, 0.92, 0.88, 0.81, 0.75, 0.7, 0.68, 0.67, 0.64,
    0.64, 0.66, 0.67, 0.7, 0.73, 0.76, 0.78, 0.8, 0.81, 0.83, 0.85, 0.87,
    0.89, 0.92, 0.94, 0.96, 0.95, 0.91, 0.83, 0.74, 0.68, 0.64, 0.61, 0.58,
    0.56, 0.57, 0.61, 0.66, 0.69, 0.72, 0.74, 0.76, 0.78, 0.79, 0.81, 0.83,
    0.85, 0.88, 0.91, 0.94, 0.93, 0.88, 0.8, 0.77, 0.74, 0.71, 0.72, 0.73,
    0.73, 0.73, 0.77, 0.81, 0.83, 0.86, 0.87, 0.89, 0.9, 0.91, 0.9, 0.9,
    0.91, 0.92, 0.93, 0.96, 0.96, 0.95, 0.93, 0.9, 0.87, 0.83, 0.79, 0.77,
    0.76, 0.74, 0.74, 0.76, 0.78, 0.79, 0.8, 0.81, 0.82, 0.82, 0.87, 0.89,
    0.92, 0.95, 0.98, 0.98, 0.98, 0.94, 0.91, 0.84, 0.77, 0.7, 0.66, 0.65,
    0.64, 0.68, 0.72, 0.78, 0.8, 0.82, 0.84, 0.85, 0.86, 0.87, 0.86, 0.86,
    0.87, 0.89, 0.9, 0.93, 0.92, 0.9, 0.86, 0.81, 0.73, 0.68, 0.65, 0.63,
    0.65, 0.67, 0.71, 0.74, 0.76, 0.78, 0.79, 0.8, 0.81, 0.82, 0.84, 0.86,
    0.88, 0.91, 0.93, 0.96, 0.94, 0.89, 0.83, 0.73, 0.65, 0.6, 0.56, 0.54,
    0.52, 0.53, 0.56, 0.59, 0.63, 0.65, 0.68, 0.7, 0.73, 0.75, 0.74, 0.77,
    0.81, 0.85, 0.89, 0.88, 0.88, 0.86, 0.76, 0.69, 0.62, 0.56, 0.53, 0.5,
    0.5, 0.51, 0.55, 0.61, 0.63, 0.66, 0.69, 0.71, 0.74, 0.77, 0.76, 0.78,
    0.8, 0.83, 0.85, 0.91, 0.91, 0.89, 0.87, 0.83, 0.78, 0.74, 0.75, 0.74,
    0.71, 0.71, 0.72, 0.74, 0.76, 0.77, 0.79, 0.8, 0.82, 0.83, 0.87, 0.89,
    0.91, 0.93, 0.95, 0.97, 0.97, 0.94, 0.86, 0.75, 0.66, 0.57, 0.52, 0.51,
    0.49, 0.51, 0.54, 0.59, 0.61, 0.63, 0.66, 0.68, 0.7, 0.73, 0.75, 0.78,
    0.81, 0.84, 0.87, 0.91, 0.95, 0.82, 0.76, 0.65, 0.57, 0.5, 0.46, 0.45,
    0.45, 0.48, 0.53, 0.59, 0.62, 0.64, 0.66, 0.68, 0.7, 0.73, 0.73, 0.76,
    0.78, 0.81, 0.84, 0.88, 0.92, 0.83, 0.71, 0.64, 0.57, 0.55, 0.54, 0.54,
    0.55, 0.59, 0.65, 0.72, 0.73, 0.75, 0.77, 0.78, 0.8, 0.82, 0.8, 0.82,
    0.83, 0.85, 0.86, 0.91, 0.93, 0.91, 0.88, 0.85, 0.8, 0.76, 0.74, 0.72,
    0.74, 0.76, 0.79, 0.82, 0.82, 0.83, 0.84, 0.85, 0.85, 0.86, 0.87, 0.88,
    0.9, 0.91, 0.93, 0.96, 0.97, 0.83, 0.82, 0.71, 0.69, 0.67, 0.69, 0.71,
    0.74, 0.77, 0.8, 0.83, 0.84, 0.85, 0.85, 0.85, 0.86, 0.86, 0.87, 0.88,
    0.89, 0.91, 0.92, 0.94, 0.96, 0.93, 0.93, 0.89, 0.85, 0.86, 0.86, 0.87,
    0.87, 0.88, 0.9, 0.92, 0.93, 0.93, 0.94, 0.94, 0.94, 0.95, 0.94, 0.94,
    0.94, 0.95, 0.95, 0.97, 0.98, 0.91, 0.86, 0.81, 0.77, 0.79, 0.79, 0.78,
    0.79, 0.82, 0.85, 0.87, 0.88, 0.88, 0.89, 0.89, 0.89, 0.9, 0.91, 0.91,
    0.92, 0.93, 0.94, 0.96, 0.98, 0.93, 0.95, 0.87, 0.81, 0.79, 0.71, 0.69,
    0.67, 0.69, 0.72, 0.74, 0.75, 0.77, 0.78, 0.79, 0.81, 0.82, 0.82, 0.84,
    0.85, 0.87, 0.89, 0.93, 0.94, 0.91, 0.85, 0.82, 0.81, 0.79, 0.77, 0.75,
    0.77, 0.79, 0.82, 0.83, 0.84, 0.84, 0.85, 0.86, 0.87, 0.87, 0.89, 0.9,
    0.92, 0.93, 0.95, 0.96, 0.97, 0.93, 0.85, 0.81, 0.76, 0.73, 0.73, 0.73,
    0.73, 0.72, 0.74, 0.76, 0.77, 0.79, 0.8, 0.82, 0.83, 0.85, 0.88, 0.89,
    0.91, 0.93, 0.95, 0.95, 0.98, 0.9, 0.79, 0.74, 0.69, 0.64, 0.62, 0.62,
    0.63, 0.64, 0.68, 0.7, 0.72, 0.74, 0.76, 0.78, 0.8, 0.82, 0.82, 0.84,
    0.85, 0.87, 0.88, 0.91, 0.93, 0.88, 0.85, 0.8, 0.78, 0.77, 0.74, 0.73,
    0.72, 0.74, 0.76, 0.77, 0.78, 0.8, 0.81, 0.82, 0.84, 0.85, 0.87, 0.88,
    0.9, 0.91, 0.93, 0.95, 0.97, 0.96, 0.92, 0.89, 0.8, 0.7, 0.67, 0.66,
    0.65, 0.65, 0.67, 0.69, 0.7, 0.72, 0.74, 0.76, 0.77, 0.79, 0.83, 0.85,
    0.87, 0.9, 0.92, 0.93, 0.97, 0.9, 0.82, 0.79, 0.76, 0.73, 0.71, 0.72,
    0.74, 0.79, 0.81, 0.83, 0.84, 0.84, 0.85, 0.86, 0.87, 0.88, 0.88, 0.89,
    0.9, 0.91, 0.92, 0.94, 0.96, 0.88, 0.87, 0.79, 0.74, 0.7, 0.68, 0.67,
    0.68, 0.69, 0.73, 0.75, 0.76, 0.78, 0.79, 0.81, 0.82, 0.84, 0.83, 0.84,
    0.85, 0.87, 0.88, 0.92, 0.93, 0.88, 0.88, 0.87, 0.87, 0.86, 0.87, 0.88,
    0.87, 0.88, 0.9, 0.9, 0.91, 0.91, 0.91, 0.91, 0.92, 0.92, 0.93, 0.94,
    0.95, 0.96, 0.97, 0.98, 1, 0.99, 0.97, 0.95, 0.93, 0.91, 0.88, 0.87, 0.9,
    0.91, 0.92, 0.92, 0.93, 0.93, 0.93, 0.93, 0.93, 0.93, 0.94, 0.94, 0.94,
    0.95, 0.96, 0.97, 0.98, 0.92, 0.85, 0.8, 0.73, 0.71, 0.69, 0.72, 0.74,
    0.76, 0.79, 0.8, 0.81, 0.82, 0.83, 0.83, 0.84, 0.85, 0.85, 0.86, 0.87,
    0.88, 0.9, 0.92, 0.93, 0.92, 0.9, 0.91, 0.89, 0.88, 0.86, 0.85, 0.84,
    0.85, 0.85, 0.86, 0.86, 0.86, 0.86, 0.86, 0.87, 0.87, 0.9, 0.92, 0.94,
    0.95, 0.98, 0.98, 1, 0.97, 0.95, 0.92, 0.87, 0.83, 0.79, 0.78, 0.8, 0.82,
    0.83, 0.84, 0.85, 0.86, 0.86, 0.87, 0.87, 0.88, 0.91, 0.92, 0.93, 0.94,
    0.96, 0.95, 0.98, 0.95, 0.92, 0.9, 0.83, 0.77, 0.71, 0.71, 0.75, 0.77,
    0.81, 0.82, 0.83, 0.83, 0.84, 0.85, 0.85, 0.86, 0.86, 0.87, 0.88, 0.89,
    0.9, 0.93, 0.93, 0.89, 0.85, 0.78, 0.74, 0.74, 0.72, 0.74, 0.75, 0.76,
    0.77, 0.77, 0.77, 0.77, 0.77, 0.77, 0.77, 0.77, 0.83, 0.86, 0.89, 0.92,
    0.96, 0.96, 1, 0.96, 0.87, 0.82, 0.76, 0.71, 0.69, 0.68, 0.68, 0.72,
    0.76, 0.78, 0.79, 0.8, 0.82, 0.83, 0.84, 0.85, 0.87, 0.88, 0.89, 0.9,
    0.91, 0.92, 0.94, 0.92, 0.87, 0.85, 0.83, 0.85, 0.82, 0.81, 0.8, 0.82,
    0.85, 0.86, 0.87, 0.87, 0.88, 0.89, 0.89, 0.9, 0.9, 0.91, 0.92, 0.93,
    0.94, 0.96, 0.97, 0.92, 0.84, 0.8, 0.77, 0.75, 0.7, 0.67, 0.66, 0.67,
    0.69, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.8, 0.82, 0.84, 0.86,
    0.89, 0.91, 0.93, 0.93, 0.88, 0.82, 0.77, 0.74, 0.72, 0.73, 0.75, 0.81,
    0.86, 0.88, 0.89, 0.9, 0.91, 0.92, 0.93, 0.94, 0.9, 0.89, 0.88, 0.87,
    0.86, 0.89, 0.88, 0.87, 0.82, 0.77, 0.73, 0.7, 0.67, 0.66, 0.66, 0.69,
    0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8, 0.79, 0.81, 0.83, 0.85,
    0.87, 0.92, 0.93, 0.91, 0.88, 0.82, 0.78, 0.72, 0.71, 0.72, 0.72, 0.73,
    0.75, 0.76, 0.77, 0.78, 0.79, 0.8, 0.81, 0.82, 0.86, 0.88, 0.9, 0.92,
    0.94, 0.94, 0.97, 0.94, 0.89, 0.79, 0.72, 0.68, 0.64, 0.63, 0.61, 0.61,
    0.64, 0.66, 0.67, 0.69, 0.7, 0.71, 0.73, 0.74, 0.75, 0.78, 0.8, 0.83,
    0.86, 0.89, 0.9, 0.88, 0.86, 0.83, 0.83, 0.8, 0.74, 0.7, 0.69, 0.71,
    0.75, 0.77, 0.78, 0.8, 0.81, 0.82, 0.84, 0.85, 0.86, 0.87, 0.89, 0.9,
    0.92, 0.94, 0.97, 0.98, 0.86, 0.78, 0.71, 0.61, 0.55, 0.54, 0.54, 0.59,
    0.65, 0.67, 0.68, 0.7, 0.71, 0.73, 0.74, 0.76, 0.76, 0.79, 0.81, 0.84,
    0.87, 0.91, 0.94, 0.94, 0.86, 0.78, 0.74, 0.65, 0.67, 0.67, 0.67, 0.7,
    0.74, 0.75, 0.77, 0.78, 0.79, 0.81, 0.82, 0.84, 0.86, 0.87, 0.89, 0.91,
    0.94, 0.95, 0.99, 1, 0.9, 0.81, 0.69, 0.66, 0.6, 0.58, 0.58, 0.64, 0.71,
    0.73, 0.74, 0.76, 0.77, 0.78, 0.79, 0.81, 0.8, 0.81, 0.83, 0.85, 0.87,
    0.91, 0.93, 0.96, 0.94, 0.85, 0.8, 0.73, 0.69, 0.75, 0.76, 0.81, 0.86,
    0.86, 0.86, 0.87, 0.87, 0.87, 0.87, 0.87, 0.86, 0.87, 0.88, 0.9, 0.91,
    0.95, 0.96, 0.97, 0.95, 0.88, 0.84, 0.82, 0.81, 0.81, 0.82, 0.83, 0.85,
    0.85, 0.85, 0.85, 0.85, 0.85, 0.84, 0.84, 0.89, 0.91, 0.93, 0.95, 0.98,
    0.98, 1, 1, 0.86, 0.73, 0.67, 0.59, 0.54, 0.55, 0.58, 0.66, 0.68, 0.7,
    0.72, 0.73, 0.75, 0.77, 0.78, 0.8, 0.79, 0.8, 0.82, 0.83, 0.85, 0.89,
    0.91, 0.93, 0.73, 0.63, 0.6, 0.58, 0.57, 0.54, 0.55, 0.61, 0.63, 0.65,
    0.66, 0.68, 0.7, 0.71, 0.73, 0.75, 0.75, 0.78, 0.8, 0.83, 0.86, 0.9,
    0.94, 0.98, 0.82, 0.75, 0.71, 0.67, 0.66, 0.7, 0.68, 0.72, 0.74, 0.76,
    0.78, 0.79, 0.81, 0.83, 0.85, 0.86, 0.84, 0.85, 0.86, 0.87, 0.88, 0.93,
    0.94, 0.96, 0.89, 0.86, 0.78, 0.78, 0.8, 0.8, 0.82, 0.87, 0.88, 0.88,
    0.89, 0.9, 0.9, 0.91, 0.91, 0.92, 0.9, 0.91, 0.91, 0.92, 0.93, 0.96,
    0.96, 0.96, 0.92, 0.89, 0.88, 0.86, 0.82, 0.8, 0.79, 0.81, 0.81, 0.82,
    0.82, 0.82, 0.82, 0.82, 0.82, 0.82, 0.87, 0.9, 0.92, 0.95, 0.98, 0.98, 1,
    1, 1, 1, 0.92, 0.84, 0.8, 0.84, 0.86, 0.91, 0.92, 0.92, 0.92, 0.92, 0.92,
    0.92, 0.92, 0.92, 0.92, 0.93, 0.93, 0.93, 0.94, 0.95, 0.95, 0.96, 0.96,
    0.94, 0.94, 0.94, 0.93, 0.94, 0.94, 0.93, 0.93, 0.93, 0.92, 0.92, 0.91,
    0.91, 0.9, 0.89, 0.92, 0.93, 0.95, 0.96, 0.98, 0.98, 1, 1, 0.94, 0.91,
    0.76, 0.73, 0.69, 0.65, 0.64, 0.66, 0.68, 0.69, 0.71, 0.72, 0.74, 0.75,
    0.76, 0.78, 0.84, 0.86, 0.89, 0.91, 0.95, 0.93, 0.98, 1, 0.95, 0.87, 0.8,
    0.72, 0.66, 0.65, 0.7, 0.75, 0.77, 0.78, 0.8, 0.81, 0.82, 0.83, 0.84,
    0.85, 0.84, 0.85, 0.86, 0.87, 0.88, 0.91, 0.93, 0.95, 0.85, 0.83, 0.8,
    0.73, 0.68, 0.65, 0.65, 0.71, 0.72, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79,
    0.81, 0.79, 0.8, 0.82, 0.84, 0.86, 0.91, 0.92, 0.94, 0.92, 0.92, 0.9,
    0.89, 0.89, 0.89, 0.89, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9, 0.9,
    0.92, 0.93, 0.94, 0.96, 0.98, 0.98, 1, 1, 0.98, 0.9, 0.85, 0.84, 0.82,
    0.84, 0.86, 0.89, 0.9, 0.91, 0.92, 0.92, 0.92, 0.93, 0.93, 0.94, 0.93,
    0.93, 0.93, 0.93, 0.93, 0.95, 0.95, 0.95, 0.83, 0.78, 0.69, 0.62, 0.57,
    0.56, 0.58, 0.64, 0.65, 0.66, 0.67, 0.69, 0.7, 0.71, 0.72, 0.73, 0.76,
    0.78, 0.81, 0.84, 0.87, 0.9, 0.93, 0.97, 0.88, 0.76, 0.67, 0.64, 0.6,
    0.58, 0.6, 0.65, 0.67, 0.69, 0.7, 0.72, 0.73, 0.74, 0.76, 0.77, 0.79,
    0.81, 0.83, 0.85, 0.87, 0.89, 0.93, 0.96, 0.96, 0.86, 0.76, 0.76, 0.73,
    0.72, 0.74, 0.79, 0.81, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87, 0.88, 0.85,
    0.86, 0.87, 0.88, 0.89, 0.93, 0.94, 0.95, 0.95, 0.95, 0.96, 0.95, 0.96,
    0.97, 0.97, 0.98, 0.98, 0.99, 0.99, 0.99, 0.98, 0.98, 0.98, 0.98, 0.96,
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    53, 99, 194, 239, 201, 281, 315, 323, 217, 251, 176, 36, 37, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 12, 57, 102, 79, 156, 133, 93, 136, 144, 99, 105, 138,
    89, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 57, 113, 149, 255, 232, 328,
    340, 178, 164, 245, 175, 100, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50,
    119, 197, 238, 245, 307, 299, 294, 255, 240, 185, 108, 40, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 52, 123, 192, 240, 288, 198, 256, 186, 104, 126, 15,
    57, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 52, 90, 70, 249, 290, 303,
    316, 277, 194, 137, 18, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 51, 58, 75,
    159, 229, 258, 331, 307, 271, 235, 168, 88, 20, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 53, 126, 156, 188, 189, 291, 301, 258, 210, 183, 135, 69, 29, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 120, 183, 246, 173, 18, 227, 235, 181,
    223, 139, 90, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 26, 52, 90, 102,
    130, 149, 160, 76, 63, 60, 32, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31,
    102, 132, 140, 173, 228, 190, 252, 137, 120, 148, 73, 15, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 31, 106, 183, 236, 138, 126, 198, 286, 262, 209, 94,
    74, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38, 64, 76, 144, 267, 196, 239,
    298, 252, 166, 140, 72, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 83, 174,
    256, 278, 292, 188, 280, 259, 170, 135, 28, 22, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 42, 104, 167, 218, 262, 288, 260, 282, 220, 208, 148, 70, 11, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 97, 128, 199, 271, 308, 306, 260, 256,
    169, 124, 71, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 85, 67, 85, 98,
    112, 107, 129, 91, 116, 119, 56, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34,
    81, 152, 142, 146, 147, 200, 170, 106, 62, 114, 56, 14, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 32, 73, 105, 158, 151, 125, 97, 154, 135, 110, 87, 55, 15,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 67, 77, 129, 198, 289, 278, 225,
    213, 192, 134, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 24, 75, 194,
    206, 243, 205, 160, 240, 189, 131, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 17, 46, 16, 18, 83, 192, 289, 268, 242, 187, 107, 18, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 32, 89, 131, 200, 181, 261, 265, 276, 263, 185, 99,
    52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 57, 72, 116, 65, 159, 147,
    134, 167, 153, 57, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 10, 40, 85,
    62, 83, 78, 69, 93, 63, 7, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 5,
    3, 0, 39, 43, 40, 55, 20, 5, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
    8, 10, 115, 44, 62, 149, 132, 86, 95, 43, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 24, 67, 119, 205, 228, 155, 132, 181, 174, 122, 80, 35, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 65, 139, 161, 213, 191, 169, 225, 203,
    110, 65, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 75, 119, 212, 248,
    215, 209, 251, 189, 132, 93, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18,
    70, 104, 111, 166, 256, 248, 150, 89, 114, 104, 5, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 16, 62, 110, 188, 247, 254, 180, 184, 178, 145, 84, 17, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 43, 75, 103, 135, 217, 120, 125,
    149, 92, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 65, 126, 150, 141,
    109, 145, 216, 149, 145, 82, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13,
    66, 124, 188, 168, 238, 279, 244, 129, 115, 49, 23, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 13, 53, 126, 109, 117, 183, 207, 209, 162, 119, 86, 17, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 40, 123, 197, 201, 204, 218, 166,
    163, 97, 53, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 36, 98, 159,
    181, 56, 136, 173, 80, 52, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29,
    114, 174, 191, 155, 190, 230, 143, 134, 65, 25, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 60, 116, 132, 121, 100, 60, 96, 118, 76, 54, 21, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 51, 106, 125, 153, 240, 267, 200, 158, 123,
    34, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 56, 88, 185, 216, 202,
    209, 98, 83, 24, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 63, 106, 146,
    203, 231, 180, 134, 127, 70, 44, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 19, 26, 117, 145, 74, 96, 91, 118, 57, 26, 5, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 42, 103, 163, 196, 94, 149, 175, 96, 36, 34, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 20, 147, 195, 180, 180, 198, 132, 114,
    47, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 97, 133, 116, 164, 184,
    187, 81, 37, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 95, 136,
    192, 194, 157, 124, 137, 108, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 37, 72, 150, 160, 182, 232, 215, 148, 86, 38, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 30, 63, 134, 138, 134, 188, 183, 154, 84, 54, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 43, 78, 181, 178, 202, 191, 152, 90,
    47, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 74, 141, 183, 220, 208,
    164, 109, 24, 46, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37, 72, 139,
    181, 218, 223, 200, 145, 81, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 27, 43, 64, 55, 87, 45, 35, 76, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 5, 34, 59, 108, 107, 177, 140, 32, 39, 32, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 29, 66, 131, 150, 196, 197, 133, 124, 86, 40, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 28, 7, 51, 64, 89, 83, 68, 34, 16,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 47, 77, 159, 167, 191, 154,
    54, 47, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 66, 92, 154,
    153, 136, 162, 81, 86, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24,
    67, 121, 156, 105, 147, 68, 30, 61, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 25, 78, 118, 115, 135, 149, 173, 115, 68, 19, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 10, 65, 80, 120, 45, 164, 151, 118, 52, 8, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 68, 111, 149, 156, 174, 124, 91,
    50, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 44, 55, 64, 67, 94,
    111, 87, 64, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 66, 115,
    158, 170, 142, 150, 85, 59, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    10, 48, 107, 140, 164, 158, 101, 106, 63, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 14, 54, 93, 120, 179, 180, 146, 81, 42, 20, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 21, 46, 40, 79, 143, 142, 105, 51, 3, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 51, 96, 134, 134, 120, 151, 112,
    59, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 46, 96, 108, 148,
    78, 92, 89, 37, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 92,
    129, 148, 125, 92, 92, 52, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 10, 81, 117, 151, 146, 49, 86, 33, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 6, 52, 68, 77, 53, 56, 26, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 38, 74, 117, 91, 92, 104, 93, 44, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 77, 123, 149, 138, 106, 84, 43, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37, 84, 123, 149, 141, 100, 92,
    48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 58, 114, 89, 64,
    100, 61, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 28, 38,
    50, 96, 83, 56, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43,
    109, 132, 129, 55, 68, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 11, 15, 10, 17, 3, 9, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 19, 39, 119, 108, 131, 122, 66, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 28, 76, 108, 89, 88, 93, 76, 38, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 29, 59, 89, 118, 98, 66, 83, 33, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 13, 28, 35, 27, 29, 18, 8, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 71, 101, 109, 117, 75, 60, 33,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33, 64, 76, 72, 84, 79,
    57, 29, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 44, 76, 117,
    94, 56, 59, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 60,
    86, 98, 110, 85, 69, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    2, 7, 9, 27, 16, 18, 16, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 2, 1, 5, 16, 12, 3, 14, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 6, 18, 50, 72, 54, 39, 56, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 4, 7, 23, 51, 69, 42, 18, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 2, 2, 5, 9, 12, 15, 15, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 14, 51, 66, 94, 70, 71, 60, 29, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 62, 77, 103, 94, 69, 51, 6, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 20, 32, 49, 38, 23, 9, 5, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 60, 72, 86, 101, 55, 48, 20, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 24, 73, 53, 39, 72, 34,
    11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 7, 27, 33, 44,
    25, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 18, 54, 70, 25,
    33, 26, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 76, 87,
    56, 79, 33, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10,
    26, 51, 39, 30, 30, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 13, 21, 39, 33, 25, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 21, 34, 22, 61, 37, 48, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 10, 18, 54, 58, 26, 45, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 26, 64, 98, 88, 38, 38, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 34, 50, 88, 69, 15, 63, 26, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33, 78, 85, 91, 85, 46, 15, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33, 49, 51, 49, 51, 46, 25, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35, 58, 88, 80, 67, 51, 26, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 64, 85, 68, 5, 23, 8,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33, 73, 87, 70, 65,
    47, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31, 60, 84,
    44, 31, 48, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31,
    29, 32, 88, 74, 40, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 30, 63, 68, 64, 69, 50, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 16, 51, 83, 90, 55, 15, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 26, 49, 32, 81, 76, 63, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 17, 41, 85, 96, 77, 43, 15, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 31, 62, 69, 75, 66, 51, 23, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 10, 33, 18, 30, 12, 1, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29, 75, 77, 88, 63, 48, 16, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 40, 77, 79, 68, 41, 18, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 60, 59, 80, 79, 65,
    18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 53, 40, 69,
    79, 49, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 21,
    43, 27, 50, 22, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    38, 67, 87, 89, 84, 54, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 13, 7, 16, 49, 38, 16, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 19, 60, 67, 74, 30, 35, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0 ;

 air_temperature = 9, 8.8, 8.5, 8.3, 8, 7.8, 7.6, 7.3, 7.1, 7.5, 7.6, 8.1,
    8.1, 7.9, 7.7, 7.5, 7.5, 7.4, 7.3, 7.2, 7.2, 7.1, 7, 6.9, 6.7, 6.4, 6.1,
    5.8, 5.6, 5.3, 5, 4.8, 4.5, 5.4, 6.1, 6.4, 6.6, 7, 6.7, 6.3, 6.1, 5.9,
    5.7, 5.5, 5.3, 5, 4.8, 4.6, 4.4, 4.3, 4.1, 4, 3.9, 3.8, 3.6, 3.5, 3.4,
    6.5, 8.6, 9.5, 10.8, 10, 10.7, 9.5, 9.2, 8.8, 8.5, 8.1, 7.7, 7.4, 7, 6.7,
    6, 5.3, 4.5, 3.8, 3.1, 2.4, 1.6, 0.9, 0.2, 2.7, 3.8, 3.6, 4.7, 4.9, 5.1,
    4.5, 4.1, 3.8, 3.4, 3, 2.6, 2.2, 1.9, 1.5, 1.3, 1.2, 1, 0.9, 0.7, 0.6,
    0.4, 0.3, 0.1, 1.6, 2.6, 3.2, 3.7, 4, 3.7, 3.3, 3.1, 2.9, 2.7, 2.5, 2.3,
    2.1, 1.9, 1.7, 1.5, 1.3, 1, 0.8, 0.6, 0.4, 0.1, -0.1, -0.3, 0.2, 0.2,
    0.6, 0.7, 0.8, 0.8, 0.7, 0.6, 0.4, 0.3, 0.1, -0.1, -0.2, -0.4, -0.5,
    -0.7, -0.9, -1, -1.2, -1.4, -1.5, -1.7, -1.9, -2, 0.2, 2.4, 3, 3.6, 3.6,
    3.2, 2.7, 2.4, 2.2, 2, 1.8, 1.6, 1.3, 1.1, 0.9, 0.7, 0.5, 0.3, 0.1, -0.2,
    -0.4, -0.6, -0.8, -1, -0.7, -0.3, 0.3, 1.1, 1, 0.7, 0.5, 0.3, 0.1, 0,
    -0.2, -0.4, -0.5, -0.7, -0.9, -1.1, -1.3, -1.6, -1.8, -2.1, -2.3, -2.5,
    -2.8, -3, -3, -2.8, -2.6, -2.2, -1.9, -1.7, -1.9, -1.9, -2, -2.1, -2.2,
    -2.3, -2.3, -2.4, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5,
    -2.5, -1.9, -1.6, -1.1, -0.8, -0.6, -0.5, -0.8, -0.9, -1.1, -1.3, -1.5,
    -1.7, -1.8, -2, -2.2, -2.5, -2.8, -3.1, -3.4, -3.7, -4, -4.2, -4.5, -4.8,
    -0.4, 1.3, 2.8, 3.4, 4.1, 4, 2.6, 1.8, 1.1, 0.3, -0.5, -1.3, -2, -2.8,
    -3.6, -4.6, -5.6, -6.6, -7.6, -8.6, -9.6, -10.7, -11.7, -12.7, -11.6,
    -10.3, -8.6, -7.7, -8.3, -9.5, -10.2, -10.2, -10.1, -10, -10, -9.9, -9.9,
    -9.8, -9.8, -9.6, -9.5, -9.3, -9.1, -8.9, -8.8, -8.6, -8.4, -8.2, -7,
    -5.5, -4.3, -2.2, -1.4, -1.2, -1.8, -1.9, -2.1, -2.3, -2.4, -2.6, -2.7,
    -2.9, -3.1, -3.3, -3.6, -3.9, -4.2, -4.5, -4.8, -5.1, -5.4, -5.7, -5.4,
    -4.4, -3.6, -3.2, -3.7, -3.6, -3.8, -4, -4.3, -4.5, -4.7, -5, -5.2, -5.4,
    -5.7, -6.1, -6.5, -6.9, -7.4, -7.8, -8.2, -8.7, -9.1, -9.6, -8.3, -8.6,
    -7.5, -7, -7, -6.5, -6.6, -6.7, -6.9, -7, -7.1, -7.3, -7.4, -7.5, -7.7,
    -7.6, -7.6, -7.6, -7.5, -7.5, -7.5, -7.4, -7.4, -7.4, -4.2, -1.6, -0.5,
    -0.1, 0.5, 0.8, -0.3, -0.4, -0.5, -0.6, -0.7, -0.8, -0.9, -1, -1.1, -1.2,
    -1.2, -1.3, -1.3, -1.4, -1.4, -1.5, -1.5, -1.6, -0.6, 0.5, 1.3, 1.3, 0.7,
    0.6, 0.2, 0.1, 0, -0.2, -0.3, -0.5, -0.6, -0.8, -0.9, -1.2, -1.5, -1.7,
    -2, -2.3, -2.6, -2.8, -3.1, -3.4, 1.4, 4.3, 5.8, 5.3, 5.3, 5.1, 4.1, 3.7,
    3.3, 3, 2.6, 2.2, 1.9, 1.5, 1.2, 0.8, 0.5, 0.1, -0.3, -0.6, -1, -1.4,
    -1.7, -2.1, 3, 4.3, 6.1, 7, 7.4, 7.6, 6.6, 6.1, 5.6, 5.1, 4.6, 4.1, 3.6,
    3.1, 2.6, 2.2, 1.8, 1.4, 0.9, 0.5, 0.1, -0.3, -0.8, -1.2, 2.9, 4.8, 5.6,
    5.7, 6.1, 5, 3.4, 2.2, 2.2, 2.2, 2.2, 2.2, 2.2, 2.2, 2.2, 2.1, 2.2, 2.2,
    2.2, 2.3, 2.3, 2.3, 2.4, 2.4, 4.5, 5.9, 8.1, 8.9, 8.1, 6.8, 6.1, 5.4,
    5.5, 5.7, 5.8, 6, 6.1, 6.3, 6.4, 6.2, 6, 5.7, 5.5, 5.3, 5.1, 4.8, 4.6,
    4.6, 4.9, 5.4, 5.6, 5.9, 6, 5.8, 5.7, 5.5, 5.4, 5.2, 5.1, 5, 4.8, 4.7,
    4.6, 3.7, 2.9, 2.1, 1.3, 0.5, -0.3, -1.1, -2, -1.9, 1, 2.8, 4.3, 6.4,
    7.6, 8.1, 7.2, 5.6, 4.7, 3.9, 3, 2.1, 1.2, 0.4, -0.5, -1.5, -2.6, -3.6,
    -4.7, -5.8, -6.8, -7.9, -8.9, -7.6, -5.1, -1.5, 1.1, 2.1, 3, 2.9, 1.8,
    -0.2, -0.7, -1.3, -1.9, -2.5, -3, -3.6, -4.2, -4.6, -5.1, -5.5, -5.9,
    -6.4, -6.8, -7.3, -7.7, -6.3, -3.4, -0.3, 2.3, 3.9, 4.6, 5, 3.8, 1.9,
    1.6, 1.3, 1.1, 0.8, 0.6, 0.3, 0, -0.2, -0.4, -0.6, -0.7, -0.9, -1.1,
    -1.3, -1.4, -0.5, 1.5, 4.3, 7.4, 9.7, 10, 10.9, 10.1, 8.3, 8.1, 7.9, 7.7,
    7.5, 7.3, 7.1, 6.9, 6.4, 5.8, 5.3, 4.8, 4.3, 3.7, 3.2, 2.7, 3, 3.6, 4.1,
    4.8, 5.1, 5.6, 5.5, 5.1, 4.7, 4.4, 4.1, 3.8, 3.5, 3.1, 2.8, 2.5, 2, 1.5,
    1, 0.5, 0, -0.6, -1.1, -1.6, -0.7, 0.9, 1.8, 4.4, 4.9, 4.1, 4.4, 3.9,
    2.8, 2.5, 2.3, 2, 1.7, 1.5, 1.2, 0.9, 0.7, 0.5, 0.3, 0, -0.2, -0.4, -0.6,
    -0.8, 0.3, 2.1, 3.6, 6.8, 7.4, 8.8, 8.2, 6.9, 5.6, 5.5, 5.4, 5.3, 5.2,
    5.1, 5.1, 5, 4.7, 4.5, 4.2, 4, 3.7, 3.5, 3.2, 3, 3.4, 3.5, 4, 4.2, 4.5,
    4.4, 4.3, 4.2, 3.9, 3.9, 3.9, 3.9, 3.9, 3.9, 3.9, 3.9, 3.9, 4, 4.1, 4.1,
    4.2, 4.3, 4.4, 4.4, 5.1, 5.9, 7.2, 8.2, 8, 8.2, 8.3, 8.3, 7.8, 7.5, 7.3,
    7.1, 6.8, 6.6, 6.3, 6.1, 5.8, 5.5, 5.2, 4.8, 4.5, 4.2, 3.9, 3.5, 3.9,
    4.7, 5.6, 6.3, 6.2, 6.3, 6.1, 6.1, 5.6, 5.4, 5.2, 5, 4.8, 4.6, 4.4, 4.2,
    4.1, 4, 3.9, 3.8, 3.7, 3.6, 3.5, 3.4, 4.1, 4.5, 5.3, 6, 6.5, 6.5, 6.2, 6,
    5.7, 5.4, 5.1, 4.9, 4.6, 4.3, 4, 3.7, 3.3, 2.9, 2.5, 2.1, 1.7, 1.3, 0.9,
    0.5, 1, 0.9, 1.2, 2, 3.3, 3.8, 4, 3.8, 3.2, 2.9, 2.5, 2.2, 1.8, 1.4, 1.1,
    0.7, -0.1, -1.1, -2.1, -3.1, -4, -5, -6, -7, -6.5, -6, -3.4, -3.4, -2.6,
    -2.3, -2.5, -3.1, -4.1, -4, -3.8, -3.7, -3.6, -3.5, -3.4, -3.3, -3, -2.7,
    -2.3, -2, -1.6, -1.3, -1, -0.6, 0, 1, 1.8, 2.1, 2.6, 2.8, 2.5, 2.2, 1.9,
    1.7, 1.5, 1.2, 1, 0.8, 0.6, 0.4, -0.4, -1.3, -2.2, -3.1, -3.9, -4.8,
    -5.7, -6.6, -5.3, -3.4, -1.2, 0.6, 1.4, 1.8, 1.6, 0.9, -0.3, -0.6, -0.9,
    -1.2, -1.5, -1.7, -2, -2.3, -2.4, -2.4, -2.3, -2.3, -2.3, -2.3, -2.3,
    -2.3, -1.8, 0.2, 2.2, 4.1, 4.7, 5.1, 5, 4.6, 3.8, 3.2, 2.7, 2.1, 1.6,
    1.1, 0.5, 0, -0.7, -1.5, -2.3, -3.1, -3.9, -4.7, -5.4, -6.2, -4.4, -2.5,
    -1.7, -0.9, -0.8, -0.5, -1, -1.6, -2.5, -2.8, -3.2, -3.5, -3.8, -4.1,
    -4.5, -4.8, -4.9, -5.1, -5.3, -5.4, -5.6, -5.8, -5.9, -6.1, -4.8, -3.9,
    -3.6, -3.4, -3, -2.8, -3.1, -3.6, -4.1, -4.1, -4.1, -4.2, -4.2, -4.3,
    -4.3, -4.4, -4.4, -4.4, -4.4, -4.4, -4.4, -4.3, -4.3, -4.3, -3.7, -3.1,
    -1.3, 0.3, 2.1, 2.4, 1.7, 1.5, 0.9, 0.7, 0.5, 0.4, 0.2, 0, -0.2, -0.4,
    -0.7, -1.1, -1.4, -1.8, -2.1, -2.5, -2.9, -3.2, -1.6, 0, 1, 1.6, 1.5,
    1.6, 1.7, 1.7, 1.1, 0.7, 0.3, -0.1, -0.5, -0.9, -1.3, -1.7, -2, -2.3,
    -2.7, -3, -3.3, -3.7, -4, -4.3, -2.8, -1.3, 0, 1.2, 1.9, 1.3, 1.6, 1.6,
    0.7, 0.5, 0.3, 0.2, 0, -0.2, -0.4, -0.5, -0.6, -0.6, -0.6, -0.5, -0.5,
    -0.5, -0.5, -0.5, 1.6, 4.3, 6.5, 7, 7.2, 7.1, 6.7, 6.8, 6, 5.2, 4.4, 3.6,
    2.8, 2, 1.1, 0.3, -1.3, -3.1, -4.9, -6.8, -8.6, -10.4, -12.2, -12.7,
    -11.8, -9.9, -8.2, -6.6, -5.9, -5.4, -5.3, -6, -7.4, -7.8, -8.2, -8.6,
    -8.9, -9.3, -9.7, -10.1, -9.7, -9.4, -9.1, -8.8, -8.4, -8.1, -7.8, -7.5,
    -7.3, -6.9, -6.4, -6.1, -5.6, -5.6, -5.9, -6.1, -6.4, -5.7, -4.9, -4.2,
    -3.4, -2.7, -1.9, -1.2, -1.1, -1, -0.9, -0.8, -0.7, -0.6, -0.5, -0.4,
    -0.2, -0.1, 0.1, 0.3, 0.2, 0.3, 0.4, 0.5, 0.4, 0.4, 0.4, 0.5, 0.5, 0.5,
    0.6, 0.6, 0.6, 0.6, 0.6, 0.6, 0.6, 0.7, 0.7, 0.7, 2, 3.5, 4.5, 4.9, 4.8,
    4.6, 4.9, 4.6, 4.1, 3.7, 3.3, 2.8, 2.4, 2, 1.6, 1.1, 0.3, -0.7, -1.6,
    -2.5, -3.4, -4.3, -5.3, -6.2, -4.4, -2.5, -0.5, 0.8, 0.9, 0.1, -0.8,
    -1.5, -2.4, -2.5, -2.6, -2.6, -2.7, -2.8, -2.9, -3, -2.9, -2.8, -2.7,
    -2.5, -2.4, -2.3, -2.2, -2.1, 1.2, 2.6, 2.7, 2.9, 4.2, 4.6, 5, 5.2, 4.5,
    3.3, 3.1, 2.9, 2.7, 2.4, 2.2, 2, 1.7, 1.3, 1, 0.7, 0.4, 0.1, -0.3, -0.6,
    1.4, 3.1, 4.7, 5.6, 5.9, 6.9, 6.7, 6.3, 5.9, 4.7, 4.4, 4.1, 3.8, 3.5,
    3.2, 2.9, 2.6, 2.4, 2.2, 2, 1.9, 1.7, 1.5, 1.3, 4.8, 6, 8.6, 9.7, 10.7,
    10.5, 10.5, 11.2, 10.1, 8.7, 8.5, 8.2, 7.9, 7.6, 7.4, 7.1, 6.5, 5.9, 5.4,
    4.8, 4.3, 3.7, 3.2, 2.6, 4.4, 6.3, 7.4, 9.3, 10.6, 10.5, 11, 10.7, 9.7,
    8.6, 8.3, 8, 7.7, 7.4, 7, 6.7, 6, 5.3, 4.6, 3.8, 3.1, 2.4, 1.7, 1.7, 2.2,
    3.2, 4.5, 5.4, 6.3, 5.6, 5.3, 5.1, 4.6, 4.1, 3.9, 3.7, 3.5, 3.3, 3.1,
    2.9, 2.6, 2.4, 2.3, 2.1, 1.9, 1.7, 1.6, 1.6, 2.3, 4.1, 5.6, 6.3, 7.7,
    8.2, 7.6, 7.7, 6.9, 6.2, 5.6, 5, 4.4, 3.8, 3.2, 2.6, 1.7, 0.9, 0.1, -0.8,
    -1.6, -2.5, -3.3, -2.6, -0.4, 2.4, 4.4, 6.3, 8.3, 9.8, 10.4, 10.3, 8.7,
    6.9, 6.2, 5.6, 4.9, 4.3, 3.6, 2.9, 2.3, 1.7, 1, 0.4, -0.3, -0.9, -1.6,
    -1.1, 1.3, 3.4, 5, 4.5, 4.3, 3.9, 3.4, 3.2, 2.6, 2, 1.8, 1.6, 1.4, 1.2,
    1, 0.8, 0.6, 0.5, 0.4, 0.2, 0.1, 0, -0.1, 0.4, 1, 4.1, 6.7, 9, 10.2,
    10.3, 11, 11.2, 10.4, 9, 8.6, 8.2, 7.8, 7.5, 7.1, 6.7, 6.1, 5.6, 5, 4.4,
    3.9, 3.3, 2.7, 3.2, 4.2, 5.1, 6.5, 7.5, 8.8, 9.2, 8.7, 8.2, 7.6, 6.9,
    6.5, 6.2, 5.8, 5.4, 5.1, 4.7, 4.3, 3.9, 3.4, 3, 2.6, 2.2, 1.7, 1.9, 2.3,
    2.7, 3.4, 4.3, 4.8, 4.9, 5, 5, 4.7, 4.3, 4, 3.7, 3.4, 3.1, 2.8, 2.5, 2.3,
    2, 1.8, 1.5, 1.3, 1.1, 0.8, 1.4, 2, 3.4, 5.3, 5.4, 5.6, 4.8, 5.1, 5.1, 5,
    4.5, 4.1, 3.7, 3.3, 2.9, 2.4, 2, 1.6, 1.2, 0.7, 0.3, -0.1, -0.5, -1,
    -0.4, -0.1, 0.5, 1.5, 2, 2.4, 2.8, 3, 2.9, 2.7, 2.2, 1.8, 1.5, 1.2, 0.9,
    0.5, 0.2, 0, -0.3, -0.5, -0.8, -1, -1.3, -1.5, -1.2, -0.9, -0.1, 1.5,
    1.7, 1.9, 2.2, 2.6, 2.3, 1.9, 1.4, 1.1, 0.8, 0.5, 0.2, -0.1, -0.5, -0.8,
    -1.2, -1.6, -1.9, -2.3, -2.6, -3, -1.7, -0.3, 0.2, 1.8, 2.9, 4.8, 5.8,
    6.2, 6.2, 5.4, 4.4, 3.8, 3.2, 2.6, 2.1, 1.5, 0.9, 0.3, -0.3, -1, -1.6,
    -2.3, -2.9, -3.5, -2, 0.2, 2, 3.7, 5.4, 6.5, 7.5, 7.5, 7.4, 6.5, 5.1,
    4.5, 3.9, 3.4, 2.8, 2.2, 1.6, 1.2, 0.8, 0.4, 0, -0.4, -0.8, -1.2, 0.2, 2,
    3.8, 5.2, 5.6, 5, 4.4, 4.8, 4.9, 4.1, 3.3, 2.6, 2, 1.4, 0.7, 0.1, -0.5,
    -1.2, -1.9, -2.7, -3.4, -4.1, -4.8, -5.5, -4.4, -2.2, -0.5, 0.1, 1, 2.1,
    2.7, 2.4, 2, 1, 0, -0.2, -0.4, -0.6, -0.8, -1, -1.2, -1.4, -1.6, -1.7,
    -1.9, -2.1, -2.3, -2.5, -1.7, -1.3, -0.1, 0.1, 0.7, 1.4, 1.8, 2, 1.7,
    1.2, 0.6, 0.5, 0.3, 0.1, 0, -0.2, -0.4, -0.5, -0.7, -0.9, -1, -1.2, -1.4,
    -1.5, -0.7, 0.4, 1.3, 1.5, 1.7, 2.8, 3.4, 2.9, 2.8, 2.6, 2.2, 1.8, 1.4,
    1, 0.7, 0.3, -0.1, -0.5, -1, -1.4, -1.9, -2.3, -2.7, -3.2, -1.7, 0.2,
    2.8, 5.1, 6.5, 7.4, 8.1, 8.5, 7.8, 6.5, 4.9, 4.5, 4.1, 3.6, 3.2, 2.7,
    2.3, 1.8, 1.4, 0.9, 0.4, -0.1, -0.5, -1, -0.2, 1.5, 1.2, 1.5, 1.9, 3,
    3.4, 3.7, 3.9, 3.7, 3, 2.8, 2.6, 2.5, 2.3, 2.1, 1.9, 1.8, 1.8, 1.8, 1.7,
    1.7, 1.7, 1.6, 2.8, 3.5, 4, 4.3, 4.5, 4.5, 4.2, 3.9, 3.7, 3.6, 3.4, 3.1,
    2.9, 2.7, 2.4, 2.2, 2, 1.4, 0.9, 0.4, -0.1, -0.6, -1.2, -1.7, 1.1, 2.1,
    3.3, 5.4, 7, 8.7, 9.8, 9.7, 9.1, 8.2, 6.7, 6.1, 5.4, 4.7, 4.1, 3.4, 2.8,
    2.1, 1.3, 0.6, -0.2, -0.9, -1.6, -2.4, 0.5, 2.4, 4.9, 6.7, 8.2, 9.7,
    10.6, 11, 10.5, 9.4, 7.5, 7.2, 6.9, 6.5, 6.2, 5.8, 5.5, 5.4, 5.3, 5.2,
    5.2, 5.1, 5, 4.9, 5.9, 6.5, 7.7, 7.7, 7.6, 7.7, 7.8, 8.1, 8, 7.7, 7.3,
    7.2, 7.1, 7, 6.8, 6.7, 6.6, 6.6, 6.6, 6.6, 6.6, 6.6, 6.6, 6.6, 8.1, 9.6,
    11, 12.7, 14.6, 15.5, 16, 16.2, 15.5, 14.8, 13.8, 13.1, 12.4, 11.6, 10.9,
    10.2, 9.5, 8.6, 7.7, 6.7, 5.8, 4.9, 3.9, 3, 4.9, 5, 6.5, 7.6, 10, 11.4,
    12.5, 12.7, 12, 11.4, 10.2, 9.6, 8.9, 8.3, 7.7, 7, 6.4, 5.9, 5.3, 4.7,
    4.1, 3.5, 3, 2.4, 3.8, 5.9, 7.8, 8.4, 8.6, 9.4, 10.2, 10.9, 11, 10.7,
    9.8, 9, 8.1, 7.3, 6.5, 5.7, 4.9, 4, 3.1, 2.3, 1.4, 0.5, -0.3, -0.3, 0.4,
    1.4, 2.8, 3.5, 5.9, 6.7, 7.3, 7.3, 7, 6.6, 6, 5.5, 4.9, 4.4, 3.9, 3.3,
    2.8, 2.4, 2, 1.6, 1.2, 0.8, 0.4, 0.4, 0.9, 2.5, 3.4, 3.9, 5.3, 6.1, 7.2,
    8.1, 8.4, 7.9, 6.8, 6.5, 6.2, 5.9, 5.5, 5.2, 4.9, 4.5, 4.2, 3.8, 3.5,
    3.1, 2.8, 3.1, 3.1, 5.3, 7, 8.4, 10.2, 10.8, 11.8, 11.7, 11.9, 11.1,
    10.2, 9.2, 8.6, 8.1, 7.5, 7, 6.4, 5.8, 5.2, 4.6, 4, 3.4, 2.8, 3, 3.9,
    4.4, 5.2, 5.9, 6.5, 7.8, 8.1, 8.2, 8.4, 8.3, 7.6, 6.9, 6.5, 6.1, 5.7,
    5.3, 4.9, 4.6, 4.3, 4, 3.7, 3.4, 3.1, 3.5, 5.3, 5.4, 6.2, 7, 8.1, 8.6,
    8.6, 9.4, 9.6, 8.7, 8.2, 7.5, 6.7, 6, 5.2, 4.4, 3.6, 2.6, 1.5, 0.4, -0.7,
    -1.8, -2.9, -2, -1, 1.7, 4.5, 7.2, 9.4, 11.2, 12.2, 12.9, 13, 12.2, 10.6,
    8.6, 7.9, 7.2, 6.5, 5.8, 5.1, 4.6, 4.1, 3.6, 3.1, 2.6, 2.1, 2.6, 3.7,
    4.6, 4.9, 4.7, 4.9, 5.5, 6.1, 6.5, 5.9, 5.5, 5.1, 4.6, 4.8, 5, 5.2, 5.5,
    5.7, 5.8, 5.9, 6.1, 6.3, 6.4, 6.6, 7, 8, 8.2, 8.9, 9.7, 10, 10.4, 10.5,
    10.7, 10.8, 10.5, 10.1, 9.7, 9.1, 8.6, 8.1, 7.6, 7, 6, 5.1, 4.1, 3.1,
    2.1, 1.2, 1.8, 2.2, 3.6, 5, 7.2, 9.5, 11.8, 13.4, 14, 14.4, 13.8, 12.6,
    11.2, 10.2, 9.1, 8.1, 7.1, 6, 4.9, 3.8, 2.6, 1.5, 0.3, -0.8, -0.3, 2.2,
    4.6, 7.4, 10.2, 10.3, 10.5, 9.4, 8.3, 8, 7.9, 6.9, 5.7, 5.3, 4.8, 4.3,
    3.8, 3.4, 3.1, 2.8, 2.6, 2.4, 2.1, 1.9, 3.2, 3.5, 3.9, 3.7, 6.2, 7.9,
    9.6, 10, 10.7, 11.6, 11.1, 10, 9, 8.5, 7.9, 7.3, 6.7, 6.2, 5.4, 4.7, 4.1,
    3.4, 2.7, 2.1, 3.1, 4.4, 5.8, 8, 10.7, 13.3, 15.6, 17, 16.4, 16.4, 16.8,
    15.7, 14.1, 12.6, 11.2, 9.7, 8, 6.2, 4.5, 2.7, 1, -1, -2.9, -4.9, -4.3,
    -3.3, -2.1, -0.5, 1.8, 3.7, 4.9, 5.8, 6.7, 6.8, 5.9, 4.6, 3.3, 2.4, 1.6,
    0.8, 0, -0.8, -1.4, -1.9, -2.5, -3.1, -3.6, -4.2, -2.5, -1.1, 1.2, 3.9,
    5.7, 6.6, 7.7, 8.2, 8.3, 8, 7.3, 6.3, 4.9, 3.7, 2.6, 1.4, 0.3, -0.9,
    -1.9, -3, -4.1, -5.2, -6.3, -7.4, -6, -3.7, -1, 1.2, 3.1, 5.1, 6.6, 7.5,
    7.8, 7.7, 6.7, 5, 3.2, 2.4, 1.6, 0.9, 0.1, -0.6, -1.1, -1.6, -2.2, -2.7,
    -3.3, -3.8, -2.5, -1.6, 0.9, 3.1, 5.1, 7, 7.6, 7.9, 7.9, 7.8, 6.9, 5.9,
    4.5, 4.6, 4.6, 4.7, 4.8, 4.9, 5.2, 5.5, 5.9, 6.3, 6.6, 7, 7.8, 8.5, 9.9,
    10.6, 11.3, 11.7, 12.2, 12.1, 12.6, 12.5, 11.9, 11.6, 11.1, 10.4, 9.7, 9,
    8.3, 7.6, 6.7, 5.7, 4.8, 3.8, 2.8, 1.8, 1.9, 3.3, 5.4, 6.9, 8.6, 11.7,
    13.2, 13.9, 14.4, 14.2, 13.6, 12.5, 11.1, 10.7, 10.3, 9.9, 9.5, 9.1, 9,
    8.8, 8.7, 8.5, 8.4, 8.3, 10.1, 12.3, 14, 14.8, 15.1, 16.1, 16.9, 16,
    15.2, 15.3, 15.1, 14.5, 13.7, 12.8, 12, 11.2, 10.4, 9.5, 8.6, 7.6, 6.6,
    5.5, 4.5, 3.5, 6.2, 8.4, 10.6, 13.1, 14.4, 16.1, 17.4, 18.3, 18.6, 18.4,
    17.5, 16, 14.3, 13.2, 12.2, 11.1, 10, 9, 8.3, 7.4, 6.6, 5.8, 4.9, 4.1,
    6.4, 6.3, 6.7, 8.7, 10.9, 12.8, 14, 13.7, 13.9, 13.9, 13.8, 13.2, 11.9,
    11.6, 11.2, 10.8, 10.5, 10.1, 10.1, 10.2, 10.2, 10.3, 10.3, 10.4, 13.3,
    14, 14.9, 14.6, 15.6, 16.2, 16.5, 17.2, 18.1, 18.4, 18, 17.2, 16.3, 15.8,
    15.2, 14.7, 14.1, 13.6, 13, 12.5, 12, 11.5, 11, 10.5, 12.7, 14.9, 15.9,
    17.8, 19.6, 20.4, 21, 21.6, 22, 22.2, 21.7, 20.3, 19.1, 17.6, 16.1, 14.6,
    13.1, 11.6, 10, 8.2, 6.5, 4.7, 2.9, 1.2, 3.5, 6, 8.2, 11, 13.4, 15.4,
    16.9, 17.7, 18, 17.7, 16.5, 14.8, 12.8, 11.4, 9.9, 8.4, 7, 5.5, 4.4, 3.2,
    1.9, 0.7, -0.5, -1.8, 1.2, 2.6, 4.6, 6.2, 8.5, 10.8, 12.3, 13.2, 13.5,
    13.4, 12.7, 11.4, 9.6, 8.9, 8.1, 7.4, 6.6, 5.9, 5.6, 5.2, 4.9, 4.6, 4.2,
    4.2, 5.7, 6.5, 7.8, 8.1, 9.1, 9.8, 9.7, 10, 10.9, 11, 10.3, 9.9, 9.3,
    8.7, 8.1, 7.5, 6.8, 6.2, 5.6, 5, 4.5, 3.9, 3.3, 3.3, 3.4, 3.6, 4.1, 5.9,
    7, 8.4, 9.2, 9.8, 9.3, 9.1, 9.2, 8.4, 7.8, 7.5, 7.1, 6.8, 6.5, 6.2, 5.8,
    5.4, 5.1, 4.7, 4.3, 4.4, 5.1, 5.9, 6.4, 6.9, 7.1, 7.3, 7.3, 7.8, 7.8,
    7.9, 7.6, 7.2, 6.9, 6.4, 5.9, 5.4, 4.9, 4.4, 3.9, 3.4, 2.9, 2.5, 2, 2.7,
    4.2, 6.5, 7.8, 9, 11.1, 11.6, 12.3, 12.3, 12.1, 11.8, 10.8, 9.6, 8.5,
    7.6, 6.7, 5.8, 4.9, 3.9, 3.1, 2.2, 1.4, 0.5, -0.3, 0.2, 0.3, 1.5, 2.7,
    5.2, 7, 7.9, 8.7, 8.1, 8.1, 7.2, 6.6, 6, 5.3, 5, 4.6, 4.3, 3.9, 3.6, 3.3,
    3.1, 2.8, 2.5, 2.3, 2.4, 2.5, 2.8, 3.6, 4, 4.1, 4.2, 4.2, 4.3, 4.4, 4.4,
    4.3, 4.1, 3.9, 3.6, 3.3, 3, 2.7, 2.4, 2.1, 1.8, 1.5, 1.2, 0.9, 1.6, 2.9,
    3, 3.3, 4.7, 6.3, 6.7, 7.3, 7.6, 7.8, 7.7, 7.3, 6.9, 6.1, 5.7, 5.3, 4.9,
    4.4, 4, 3.8, 3.5, 3.2, 3, 2.7, 2.9, 2.9, 3.8, 5.2, 6, 6.4, 6.8, 6.7, 6.8,
    7.1, 7, 6.7, 6.2, 5.8, 5.3, 4.8, 4.3, 3.8, 3.3, 2.8, 2.3, 1.8, 1.3, 0.7,
    1.3, 2.5, 4.6, 5.7, 6.3, 6.6, 7, 8.4, 9.1, 9.8, 10.1, 10.3, 9.7, 8.8, 8,
    7.1, 6.3, 5.5, 4.6, 4, 3.3, 2.7, 2, 1.3, 2, 3, 5.6, 6.8, 9.6, 10.2, 10.2,
    10.1, 10.4, 11.3, 11.9, 11.3, 10.2, 9.1, 7.9, 6.7, 5.6, 4.4, 3.2, 2.1, 1,
    -0.2, -1.4, -2.5, -1.4, -0.1, 1.1, 3.6, 6.2, 7.5, 9.2, 10.4, 11.1, 11.8,
    11.9, 11.1, 10.3, 8.7, 8.1, 7.4, 6.7, 6, 5.3, 5.1, 4.9, 4.7, 4.5, 4.3,
    4.5, 5.3, 6.4, 7.4, 8.4, 9.3, 10.8, 12.6, 13, 13.1, 13.2, 13.7, 13.3,
    12.4, 11.4, 10.6, 9.7, 8.9, 8, 7.1, 6.2, 5.3, 4.3, 3.4, 4.6, 5.5, 7, 9,
    10, 11.2, 11.2, 11.6, 11.5, 11.9, 11.6, 10.7, 10.2, 9.6, 8.7, 7.7, 6.7,
    5.7, 4.7, 4, 3.2, 2.5, 1.7, 1, 2.7, 4.9, 6.9, 9.7, 12.4, 15.1, 17.1,
    18.7, 19.8, 20.4, 20, 19.4, 17.8, 15.9, 14, 12.1, 10.1, 8.2, 6.3, 4.6,
    2.7, 0.9, -0.9, -2.8, -0.9, 0.9, 3.4, 6, 8.2, 10.1, 11.6, 12.8, 13.9,
    14.8, 15.1, 14.8, 13.5, 11.8, 9.8, 8, 6.1, 4.3, 2.4, 1.1, -0.3, -1.7,
    -3.1, -4.5, -3.1, -0.6, 2.2, 5.3, 7.3, 9.6, 10.8, 11.9, 12.5, 13.1, 12.8,
    12.3, 11, 9.2, 7.3, 5.7, 4.1, 2.5, 0.9, -0.1, -1.1, -2.2, -3.2, -4.3,
    -3.3, -2.2, 1.3, 2.5, 3.6, 4.8, 6.8, 8.4, 9.7, 10.7, 11.1, 10.6, 9.3,
    7.8, 6.3, 5.7, 5.2, 4.7, 4.2, 4, 3.7, 3.5, 3.3, 3.1, 4.4, 5.1, 6.1, 7.1,
    8.9, 10.5, 12.4, 13.7, 14.8, 15.5, 16.2, 16.4, 15.9, 14.8, 13.5, 12.5,
    11.6, 10.7, 9.8, 8.9, 8, 7, 6, 5.1, 6.6, 8.7, 10.8, 13.9, 15.6, 16.2,
    16.5, 16.9, 16.9, 16.8, 16.9, 16.9, 16.2, 15, 13.5, 12.3, 11.1, 9.9, 8.7,
    8.2, 7.6, 7, 6.4, 5.8, 8, 10.1, 11.8, 13.8, 14.8, 15.5, 16.9, 17.2, 17.9,
    18.6, 18.5, 18.2, 17.2, 15.8, 14.4, 13.1, 11.7, 10.3, 9, 8, 6.9, 5.8,
    4.7, 3.6, 5.7, 7.2, 9.9, 11.4, 13.1, 15.2, 16.6, 17.9, 18.2, 18.5, 18.3,
    17.6, 16.6, 15.2, 13.5, 12.3, 11.2, 10, 8.8, 8.1, 7.3, 6.6, 5.9, 5.1,
    7.4, 9.3, 10.9, 12.6, 15, 16.7, 18.1, 19.5, 19.9, 19.4, 19, 18.3, 17.2,
    15.9, 14.4, 13.3, 12.2, 11.1, 9.9, 9.1, 8.2, 7.3, 6.4, 5.5, 7.5, 9, 10.7,
    12.8, 14.3, 16, 17.3, 18.4, 18.7, 18.9, 19, 18.8, 18, 16.6, 15.1, 14.2,
    13.3, 12.5, 11.6, 11.3, 11, 10.7, 10.4, 10.1, 10.5, 10.9, 11.4, 11.4,
    11.3, 11.5, 11.4, 11.3, 11.4, 11.3, 11.3, 11.2, 11, 10.9, 10.7, 10.5,
    10.3, 10, 9.8, 8.1, 6.4, 4.6, 2.8, 1, 3.3, 5.2, 7.1, 8.7, 10.9, 12.6,
    14.3, 15.2, 15.4, 15.6, 15.1, 14.3, 13, 11.5, 9.9, 8.7, 7.5, 6.4, 5.2,
    4.6, 3.9, 3.3, 2.6, 2, 3.3, 5, 6.4, 7.4, 8.8, 9.1, 9.8, 11.5, 12.9, 13.6,
    13.7, 13.6, 13.1, 11.9, 10.7, 9.5, 8.3, 7.2, 6, 5.1, 4, 2.9, 1.8, 0.8,
    3.2, 4.9, 7, 9.2, 10.8, 10.4, 10.3, 9.4, 9.9, 10.3, 10.6, 10.9, 10.3,
    9.4, 8.1, 7.4, 6.6, 5.9, 5.1, 5.1, 5.1, 5.2, 5.2, 5.2, 7.5, 9, 9.5, 10.5,
    12.3, 12.9, 13.7, 14.1, 13.1, 12.3, 12.3, 12.1, 11.4, 10.8, 10.1, 9.3,
    8.5, 7.7, 6.9, 6, 5.1, 4.2, 3.3, 2.4, 4.2, 5.5, 6.9, 8.1, 9.4, 9.2, 9.9,
    10.4, 9.7, 8.7, 8, 7.2, 7.2, 6.9, 6.2, 5.8, 5.5, 5.1, 4.7, 4.4, 4.1, 3.9,
    3.6, 3.7, 4.3, 6, 7.7, 10.4, 12, 13.3, 14, 14.2, 13.6, 12.6, 11.8, 11.2,
    10.3, 9.5, 8.7, 8.3, 7.8, 7.3, 6.8, 6.2, 5.6, 4.9, 4.3, 4.3, 4.6, 5.6,
    6.4, 7, 7.9, 8.4, 8.4, 8.4, 9.5, 10.2, 10.8, 11, 11.1, 10.7, 10.1, 9.1,
    8.1, 7.2, 6.2, 5.3, 4.3, 3.3, 2.3, 2.3, 3.7, 6, 8.6, 11.1, 13.5, 15.9,
    18.1, 19.8, 20.9, 21.6, 21.7, 21.2, 20.2, 18.4, 16.6, 14.7, 12.7, 10.8,
    8.8, 7.2, 5.6, 4, 2.3, 2.7, 3.6, 4.6, 5.8, 7.7, 11, 13.7, 15.7, 17.5,
    18.6, 18.8, 18.9, 18.5, 17.5, 16.1, 14.5, 13.3, 12.1, 10.8, 9.6, 8.9,
    8.1, 7.3, 6.5, 6.6, 7.1, 8.3, 9.9, 11.3, 12, 12.9, 13.7, 13.9, 13.9,
    14.1, 13.7, 13.8, 13.5, 13, 12.2, 10.7, 9.1, 7.5, 5.9, 4, 2, 0.1, -1.9,
    -1.3, 0.4, 2.7, 5.6, 8.6, 11.3, 14, 16.4, 17.9, 18.8, 19.4, 19.5, 19.1,
    17.8, 16.2, 14.4, 12.7, 11, 9.3, 7.6, 6.1, 4.5, 2.9, 1.3, 1.9, 3.4, 5.5,
    7.5, 9.7, 12.1, 14.5, 16.4, 17.8, 18.8, 19.5, 19.8, 19.1, 18, 16.4, 14.5,
    13.6, 12.7, 11.7, 10.8, 10.6, 10.4, 10.1, 9.9, 10.3, 12.1, 13.8, 15.2,
    17.1, 19.4, 22.1, 23.9, 25, 25.5, 26, 26.6, 26.7, 25.8, 24.6, 23, 20.8,
    18.6, 16.5, 14.3, 12.6, 10.9, 9.2, 7.5, 8.2, 9.4, 10.8, 13, 15.2, 17.6,
    19.6, 21.2, 22.4, 23.3, 23.9, 24, 23.5, 22.4, 21.1, 19.6, 17.5, 15.4,
    13.4, 11.3, 9.6, 7.9, 6.2, 4.5, 5.3, 6.2, 8.2, 11, 13.6, 15.8, 18.2,
    20.2, 21.9, 23, 23.7, 23.7, 23.1, 22, 20.1, 18.3, 16.7, 15.1, 13.5, 11.9,
    10.9, 9.9, 8.9, 7.8, 7.9, 8.7, 10.4, 13.8, 15.9, 18, 20.2, 21.3, 21.5,
    21.9, 21.3, 21.1, 20.8, 19.9, 18.8, 17.5, 15.9, 14.4, 12.8, 11.2, 10.1,
    8.9, 7.8, 6.6, 7.3, 9.1, 10.7, 12.1, 14, 16.1, 17.3, 19.3, 20.3, 19.7,
    19.3, 18.7, 18, 17, 16.1, 14.9, 13.6, 12.4, 11.1, 9.9, 8.9, 7.8, 6.8,
    5.7, 6.7, 8.3, 10.6, 12.2, 14, 14.9, 16.3, 17.5, 18.9, 20.1, 20.9, 21.6,
    21, 19.9, 18.5, 16.9, 15.6, 14.3, 12.9, 11.6, 10.6, 9.6, 8.6, 7.6, 8.1,
    8.9, 10.6, 10.8, 12.8, 15.1, 17.4, 18.8, 19.6, 20.1, 19.8, 20, 20.4,
    19.8, 19, 17.8, 16.5, 15.3, 14, 12.7, 12, 11.2, 10.5, 9.7, 10.3, 10.4,
    10.9, 11.3, 13.2, 14.4, 15.8, 16.9, 18.5, 19.9, 21.4, 22, 22.1, 22, 21.1,
    20, 18.7, 17.5, 16.2, 14.9, 13.6, 12.3, 10.9, 9.6, 10.5, 12.2, 12.5,
    14.3, 16.2, 18.4, 20.2, 22.1, 23.1, 23.8, 24.3, 23.8, 23.1, 22.3, 21.3,
    20, 18.6, 17.2, 15.8, 14.4, 13.4, 12.4, 11.3, 10.3, 10.8, 12.2, 14.3,
    15.9, 16.8, 17.2, 17.6, 17.5, 16.2, 16.3, 16.7, 16.9, 16.6, 15.8, 15.2,
    14.5, 13.7, 12.9, 12.2, 11.4, 11.1, 10.9, 10.6, 10.3, 10.6, 11.4, 12.7,
    13.5, 14.5, 15.1, 15, 15.9, 15.7, 15.8, 15.8, 15.9, 15.9, 15.4, 14.9,
    14.4, 13.6, 12.7, 11.8, 11, 10.4, 9.8, 9.2, 8.6, 9, 10, 11.9, 13.6, 15.1,
    14.9, 15.9, 16.3, 17.1, 17.1, 18.1, 18.5, 18.3, 17.6, 17, 16.2, 14.9,
    13.5, 12.4, 11.2, 10, 8.9, 7.7, 6.6, 7.4, 8.3, 10.5, 12, 12.8, 13.3,
    13.7, 14.7, 15.1, 15.6, 16.4, 16.8, 16.8, 16.7, 16, 14.8, 13.7, 13, 12.3,
    11.6, 11.6, 11.6, 11.5, 11.5, 11.9, 12.5, 13.2, 13.8, 14.3, 14.8, 15.2,
    15, 14.6, 14.3, 14.4, 14.2, 14.2, 14, 13.8, 13.6, 13.3, 12.7, 12.2, 11.6,
    10.8, 10, 9.3, 8.5, 9.1, 10.5, 11.8, 13.5, 14.2, 15, 15.7, 15.6, 16.4,
    17, 17, 16.5, 15.6, 15.1, 14.7, 13.9, 13.1, 11.8, 10.5, 9.2, 8.2, 7.1,
    5.9, 4.8, 5.6, 7.5, 8.2, 8.9, 10, 11.9, 13.9, 15.3, 15.1, 15.1, 15.3,
    14.9, 15.1, 14.8, 14, 12.8, 11.7, 10.8, 9.9, 9, 8.9, 8.8, 8.7, 8.6, 9.2,
    10, 10.8, 12, 13, 13.5, 13.4, 13.7, 14.1, 14.8, 15.8, 16.2, 16, 15.2,
    14.5, 13.8, 13.2, 12.2, 11.2, 10.2, 9.2, 8.2, 7.1, 6.1, 6.3, 6.6, 7.9,
    8.7, 10, 12, 14.1, 15, 16.5, 17.3, 17.8, 17.6, 17, 16.3, 15.5, 14.5,
    13.5, 12.7, 11.8, 11, 10.3, 9.7, 9, 8.3, 8.6, 9.4, 9.7, 10, 10.2, 10.8,
    11.4, 13.3, 14.1, 14.6, 14.7, 14.4, 14.5, 14, 13.4, 12.8, 12.3, 11.8,
    11.4, 10.9, 10.6, 10.3, 9.9, 9.5, 9.7, 10, 10.3, 10.7, 10.9, 11.2, 11.4,
    11.4, 11.5, 11.5, 11.6, 11.5, 11.4, 11.2, 11.1, 10.9, 10.7, 10.2, 9.7,
    9.2, 8.4, 7.4, 6.5, 5.6, 6.1, 7.8, 8.5, 9.8, 10.8, 12.4, 13.2, 14, 14.1,
    14.5, 15, 15.1, 15.4, 15.4, 14.5, 13.3, 12.3, 11.8, 11.3, 10.9, 11, 11.1,
    11.3, 11.4, 11.5, 11.6, 11.6, 11.6, 11.9, 12, 12, 12.1, 12.3, 12.5, 12.5,
    12.5, 12.5, 12.4, 12.4, 12.3, 12.2, 12, 11.8, 11.5, 10.3, 8.9, 7.5, 6.2,
    6.6, 8.3, 10.1, 11.2, 12.6, 13.7, 14.8, 16.2, 16.8, 17, 17.5, 17.7, 17.5,
    17.1, 16.4, 15.3, 14.1, 12.8, 11.5, 10.1, 9.5, 8.9, 8.3, 7.6, 8.5, 9.5,
    11, 12.4, 14.2, 16, 17.5, 18.3, 18.6, 18.9, 18.4, 17.5, 16.8, 16, 15.3,
    14.4, 13.5, 12.5, 11.6, 10.6, 9.9, 9.1, 8.3, 7.5, 8.2, 9, 11.2, 12.5,
    14.4, 16.3, 18.2, 19.3, 20.7, 21.2, 21.5, 21.7, 21.4, 20.6, 19.6, 18.2,
    16.9, 14.7, 12.4, 10.2, 8.3, 6.4, 4.5, 2.6, 3.6, 5.4, 7.9, 10.6, 12.8,
    14.9, 16.8, 18.6, 20, 21.1, 21.8, 21.9, 21.6, 20.8, 19.5, 17.9, 16.1,
    14.4, 12.7, 11, 9.6, 8.1, 6.6, 5.2, 6.2, 7.6, 9, 10.6, 12.5, 14.3, 16.1,
    17.8, 18.8, 19.8, 20.2, 20.3, 19.9, 19.2, 17.8, 16.5, 15, 13.3, 11.7, 10,
    8.9, 7.7, 6.6, 5.4, 6.7, 8.3, 9.8, 11.8, 13.2, 14.9, 16.3, 17.8, 19,
    20.1, 20.8, 21.1, 20.8, 19.9, 18.7, 17.3, 15.8, 14, 12.2, 10.4, 9.1, 7.8,
    6.4, 5, 5.9, 7.6, 9.6, 11.6, 13.8, 15.7, 17.6, 18.9, 20.2, 21.1, 21.6,
    21.8, 21.5, 20.6, 19.2, 17.5, 15.9, 14.7, 13.5, 12.3, 11.9, 11.4, 10.8,
    10.3, 11, 12.7, 13.3, 15, 17.4, 19.4, 20.7, 20.8, 20.4, 20.6, 20.8, 20.6,
    20.4, 20.3, 19.4, 18.3, 17.2, 16.6, 16.1, 15.6, 16, 16.3, 16.6, 17, 18.2,
    18.5, 20.2, 21.8, 23, 24.2, 24.8, 25.5, 26.3, 26.5, 25.6, 25.5, 25.7,
    25.4, 24.7, 24, 23.1, 21.4, 19.7, 18, 16.4, 14.8, 13.2, 11.5, 12.4, 14,
    15.9, 18.2, 20.5, 22.6, 24.4, 25.9, 27, 27.8, 28.2, 28.2, 28.1, 27.2,
    25.7, 24.2, 22.5, 20.4, 18.3, 16.2, 14.9, 13.5, 12.1, 10.6, 11.6, 12.9,
    14.8, 16.8, 18.6, 20.5, 22, 23.3, 24.5, 25.2, 25.8, 25.9, 25.6, 24.8,
    23.6, 22.2, 20.7, 18.8, 16.9, 15.1, 13.8, 12.5, 11.2, 9.8, 10.7, 11.1,
    11.8, 13.7, 15.7, 18.4, 21, 22, 22.9, 23.6, 24, 24.1, 23.9, 23.2, 22,
    20.7, 19.3, 18, 16.6, 15.2, 14.4, 13.5, 12.6, 11.8, 12.3, 13.1, 13.4,
    15.7, 17.8, 19.5, 20.2, 22.1, 23.8, 24.6, 24.4, 23.7, 23.3, 22.7, 22, 21,
    19.8, 18.4, 17, 15.5, 14.2, 12.9, 11.6, 10.3, 10.4, 11.5, 12.5, 14.1,
    15.9, 17.5, 18.9, 20.5, 22, 22.8, 23.2, 22.8, 21.9, 21.3, 20.5, 19.3,
    18.1, 17.5, 16.8, 16.1, 15.7, 15.3, 14.9, 14.5, 14.6, 15.2, 17.3, 18.6,
    19.5, 20.6, 21.6, 22.7, 24.1, 24.4, 24, 23.9, 24.2, 24.2, 23.4, 22.4,
    21.4, 19.9, 18.4, 17, 15.8, 14.7, 13.6, 12.4, 12.5, 13.3, 14.1, 15.3,
    16.5, 17.3, 17.6, 17.8, 17.9, 18.5, 18.2, 17.8, 17.3, 17.1, 16.4, 16,
    15.5, 14.3, 13.1, 12, 10.6, 9.2, 7.7, 6.3, 6.8, 7.7, 9.5, 12.2, 14.4,
    16.2, 17.8, 19.1, 20, 20.7, 20.9, 21, 20.7, 20.2, 19, 17.7, 16.2, 14.3,
    12.4, 10.4, 9.2, 7.9, 6.6, 5.3, 6.4, 7.4, 9.2, 10.9, 12.4, 14.3, 16.1,
    17.7, 19.1, 20.1, 20.8, 21.2, 21, 20.2, 18.9, 17.4, 15.9, 14.7, 13.5,
    12.3, 11.6, 11, 10.3, 9.7, 10.3, 11.5, 12.5, 13.2, 14.1, 14.8, 16.4,
    17.4, 18.2, 18, 18.5, 17.8, 17.1, 16.4, 15.8, 15, 14.3, 13.5, 12.8, 12.1,
    11.5, 10.9, 10.2, 9.6, 9.8, 10.4, 10.6, 11.5, 13.2, 14.6, 16.5, 18.8,
    20.3, 21.2, 21.7, 22.1, 22.4, 22.5, 21.8, 20.7, 19.6, 17.7, 15.8, 13.9,
    12, 10.1, 8.2, 6.3, 7.2, 8.8, 10.1, 11.7, 13.9, 15.8, 17.8, 19.4, 20.8,
    21.9, 22.6, 23, 22.5, 21.7, 20.4, 18.9, 17.2, 15.6, 14, 12.4, 11.4, 10.3,
    9.2, 8.1, 9, 10.2, 11.4, 12.9, 14.9, 16.8, 18.7, 20.1, 20.8, 21.9, 22.4,
    22.6, 22.5, 21.8, 20.9, 19.7, 18.2, 16.7, 15.3, 13.8, 12.9, 12, 11.1,
    10.2, 11.1, 11.9, 12.9, 13.4, 15, 16.9, 18.2, 19.2, 21.2, 22.5, 23, 23.1,
    23.2, 23, 22.1, 20.8, 19.6, 17.9, 16.2, 14.5, 13.2, 11.7, 10.3, 8.8, 9.1,
    10.1, 10.3, 10.8, 13.1, 15.5, 17, 18.5, 19, 18.7, 18.7, 18.6, 18.3, 17.8,
    17, 16.1, 15.1, 14.4, 13.7, 13, 12.9, 12.7, 12.6, 12.4, 12.5, 13, 13.1,
    13.1, 14.1, 15.4, 16.3, 17, 17, 17.2, 16.5, 16.3, 16.1, 16, 15.9, 15.6,
    15.3, 14.8, 14.3, 13.8, 13.2, 12.7, 12.1, 11.5, 11.8, 12.2, 12.5, 13.1,
    13.5, 14.4, 14.8, 15.1, 15.5, 15.9, 16, 16, 15.6, 15.3, 14.9, 14.6, 14.2,
    13.8, 13.3, 12.9, 12.6, 12.3, 12, 11.7, 12.2, 12.3, 13.7, 14.7, 15.6, 16,
    17.2, 17.1, 17.8, 18.3, 18.4, 17.9, 17.4, 16.7, 16.2, 15.8, 15.2, 15.1,
    14.9, 14.7, 14.7, 14.7, 14.6, 14.6, 14.7, 15.2, 15.2, 15.4, 16.5, 17.9,
    18.2, 18.5, 19.3, 19.8, 19.9, 19.9, 19.8, 19.5, 19.2, 18.7, 18.2, 17.9,
    17.5, 17.1, 16.8, 16.5, 16.2, 15.9, 16, 16.7, 18.1, 19.2, 19.7, 20.2, 21,
    22.1, 23.2, 23.5, 23.7, 23.2, 23.2, 23.2, 22.7, 22, 21.3, 19.5, 17.6,
    15.8, 14, 12.2, 10.3, 8.5, 9.3, 10.5, 12.2, 14.2, 16.4, 18.9, 21.1, 23,
    24.5, 25.5, 26, 26.3, 26.1, 25.3, 23.9, 22.3, 20.6, 18.3, 16.1, 13.9,
    12.3, 10.7, 9.1, 7.4, 7.7, 8.9, 10.9, 13.3, 15.7, 17.9, 19.7, 21.5, 22.8,
    23.6, 24.1, 24.3, 23.8, 22.9, 21.6, 20.1, 18.5, 16.6, 14.8, 12.9, 11.7,
    10.4, 9, 7.7, 8.4, 9.7, 11.1, 13, 14.7, 16.8, 18.4, 20.2, 21.7, 23, 23.6,
    23.7, 23.4, 22.2, 21, 19.6, 18.1, 17, 16, 14.9, 14.4, 14, 13.5, 13, 13.1,
    13.9, 14.8, 15.4, 16.7, 18, 19.4, 20.2, 20.6, 20.9, 19.9, 19.8, 19.2,
    18.9, 18.7, 18.2, 17.6, 16.4, 15.2, 14.1, 12.9, 11.6, 10.4, 9.2, 9.3,
    10.5, 10.9, 12.5, 13.9, 15, 15.9, 16.3, 17, 16.9, 16.8, 17, 16.7, 15.9,
    15.3, 14.6, 13.8, 12.5, 11.1, 9.8, 8.8, 7.6, 6.5, 5.4, 5.9, 6.8, 8.5,
    10.3, 12.5, 14, 15.5, 17.2, 18.3, 19.2, 19.8, 20, 19.8, 18.9, 17.7, 16.1,
    14.6, 12.9, 11.2, 9.5, 8.5, 7.5, 6.5, 5.4, 5.7, 6.9, 8.2, 10.6, 12.6,
    14.9, 17, 18.7, 20.1, 21.2, 21.8, 22, 21.6, 20.6, 19.4, 17.8, 16.2, 14.6,
    13, 11.5, 10.6, 9.6, 8.6, 7.6, 7.9, 9.1, 11, 12.9, 15, 16.8, 18.2, 19.8,
    21, 21.7, 22.3, 22.5, 22.3, 21.7, 20.7, 19.3, 17.7, 16.8, 15.9, 15, 14.8,
    14.6, 14.3, 14.1, 14.2, 14.6, 14.7, 15.9, 18, 19.3, 19.4, 19.7, 20.7,
    21.1, 21.4, 21.8, 22.4, 22.4, 22.1, 21.4, 20.5, 19.6, 18.7, 17.8, 17,
    16.2, 15.4, 14.6, 14.9, 16, 16.8, 17.8, 19.2, 19.3, 19.7, 20.8, 22.3,
    22.4, 22, 22, 21.8, 21.5, 21, 20.4, 19.7, 17.9, 16, 14.2, 12.2, 10.1, 8,
    5.9, 6.2, 7.4, 9.3, 11.4, 13.7, 15.9, 17.9, 19.7, 21.1, 22.1, 22.7, 22.8,
    22.5, 21.6, 20.1, 18.3, 18, 17.6, 17.3, 17, 17.7, 18.3, 18.9, 19.5, 19.7,
    21.2, 23.1, 24, 26.5, 28, 28.8, 29.2, 29.6, 29.2, 28.4, 27.8, 27.2, 27.1,
    26.8, 26.1, 25.2, 24.4, 23.6, 22.8, 22.3, 21.8, 21.3, 20.8, 20.9, 21.2,
    21.4, 21.9, 22.8, 23.8, 24.2, 24.3, 24.3, 24.3, 24.7, 24.4, 24.4, 24.3,
    24, 23.6, 22.9, 22.1, 21.4, 20.7, 20, 19.3, 18.6, 17.9, 17.9, 18.1, 18.7,
    19.5, 20.6, 21.4, 21.5, 21.6, 21.3, 21.7, 21.9, 22.3, 22.5, 22.4, 22.4,
    22, 21.1, 20.1, 19.2, 18.3, 17.5, 16.7, 16, 15.2, 15.2, 15.3, 16.2, 16.2,
    17.1, 17.9, 18.7, 19.3, 21.1, 21.8, 22.6, 22.9, 23.3, 23.5, 22.7, 22, 21,
    19.9, 18.9, 17.8, 16.6, 15.4, 14.2, 12.9, 12.9, 13.4, 14.9, 16.8, 18.2,
    19.3, 19.9, 20.7, 21.6, 21.5, 21.2, 20.6, 20.4, 19.8, 19.4, 18.7, 17.6,
    16.6, 15.5, 14.5, 13.9, 13.3, 12.7, 12.1, 11.5, 13.6, 13.3, 13.9, 13.9,
    14.3, 15, 15.9, 17.3, 18.1, 18.4, 18.1, 17.7, 17, 16.4, 15.9, 15.3, 14.7,
    14.1, 13.5, 12.9, 12.3, 11.7, 11.1, 10.4, 11.8, 13.1, 15.3, 17.3, 18.9,
    20.6, 21.5, 22.5, 23.4, 24.1, 24.3, 23.9, 23.1, 21.8, 20.5, 19.6, 18.7,
    17.8, 16.9, 16.4, 15.8, 15.3, 14.7, 14.2, 16.5, 16.7, 17.9, 19, 19.4,
    20.8, 21, 21.1, 22, 22.6, 22.3, 22.1, 21.6, 20.9, 20, 19.4, 18.8, 18.2,
    17.6, 17.3, 17.1, 16.8, 16.6, 16.3, 17.4, 18.1, 19.1, 19.9, 20.9, 22.2,
    23.6, 24.2, 25.3, 25.9, 26, 25.5, 24.8, 23.9, 23.1, 21.7, 20.3, 19, 17.6,
    16.2, 14.6, 13, 11.5, 9.9, 12.1, 13.4, 15.4, 17, 18.6, 20, 21.4, 22.7,
    23.3, 23.7, 23.6, 23.2, 22.5, 21.2, 19.7, 18.4, 17.1, 15.8, 14.5, 13.8,
    13, 12.3, 11.5, 10.8, 12.9, 14, 16.4, 18.9, 21, 22.8, 24.3, 25.8, 26.5,
    26.7, 26.7, 26.4, 25.4, 24.1, 22.5, 20.4, 18.4, 16.6, 14.7, 12.9, 11,
    9.2, 7.4, 5.7, 7.1, 9.6, 12.1, 15, 17.4, 19.5, 21.2, 22.6, 23.7, 23.9,
    23.9, 23.4, 22.1, 20.5, 18.5, 16.7, 15, 13.2, 11.4, 10.3, 9.1, 7.9, 6.7,
    5.5, 7.7, 10.1, 12.3, 14.9, 17.6, 19.5, 21, 22.1, 22.8, 23.1, 22.8, 22,
    20.8, 19.1, 17.3, 15.7, 14, 12.3, 10.7, 9.5, 8.3, 7, 5.8, 4.5, 6.6, 8.2,
    10, 12.3, 14.2, 16.2, 17.8, 19.3, 20.3, 21, 21.1, 20.6, 19.5, 17.9, 16.1,
    14.5, 12.8, 11.2, 9.6, 8.7, 7.7, 6.7, 5.7, 4.7, 6.2, 7.5, 9.2, 11, 12.8,
    14.5, 16.3, 18, 18.8, 19.1, 19.1, 19, 17.8, 16.5, 14.8, 13.5, 12.1, 10.8,
    9.5, 8.6, 7.7, 6.7, 5.8, 4.8, 6, 8.5, 11.3, 13.9, 16.1, 18, 19.6, 20.9,
    21.6, 21.9, 22, 21.7, 20.7, 19, 17.2, 15.9, 14.7, 13.5, 12.3, 11.6, 11,
    10.3, 9.7, 9, 9.3, 10, 13.3, 15.1, 17.4, 18.4, 17.9, 17.4, 16.9, 17.7,
    18, 18.1, 17.2, 16.1, 15.2, 14.1, 13, 11.9, 10.9, 10.1, 9.3, 8.5, 7.7,
    6.9, 7.5, 7.8, 9.8, 10.9, 12.2, 13.6, 14.6, 14.7, 15.6, 17.2, 18.2, 18.2,
    18, 16.8, 15.7, 15.2, 14.7, 14.2, 13.7, 13.4, 13.1, 12.8, 12.5, 12.3,
    12.6, 12.7, 13.7, 14.2, 15.3, 15.6, 16, 16, 16.3, 17, 17.2, 17.2, 16.8,
    16.5, 16.1, 15.2, 14.2, 13.3, 12.3, 11.3, 10.1, 9, 7.8, 6.7, 7.2, 8.1,
    10.1, 12.5, 14.1, 16.4, 17.6, 17.8, 18.2, 18.7, 19.5, 19.6, 18.5, 17,
    15.5, 14.9, 14.3, 13.7, 13.1, 12.9, 12.6, 12.3, 12.1, 11.8, 12.6, 13.9,
    14.8, 17.3, 17.9, 17.6, 17.4, 17.8, 18.6, 18.7, 18.4, 18.3, 17.5, 16.8,
    16.1, 15.7, 15.4, 15, 14.6, 14.5, 14.4, 14.3, 14.2, 14.1, 14.2, 15, 16.1,
    17.1, 17.5, 19.3, 20.2, 20.7, 21.9, 22.2, 21.9, 21.5, 21.5, 20.9, 20.1,
    19.5, 18.9, 18.3, 17.6, 17, 16.4, 15.8, 15.2, 14.6, 15.3, 15.4, 16.7,
    18.7, 19.2, 19.5, 20.9, 22, 22.6, 23.4, 23.8, 23.8, 23, 22.3, 21.4, 20.1,
    18.9, 17.6, 16.3, 14.9, 13.5, 12.1, 10.6, 9.2, 10.6, 12, 14.3, 15.9,
    17.1, 18.2, 18.5, 19.4, 20.1, 20.8, 20.8, 20.8, 20.2, 19.1, 17.7, 16.9,
    16.1, 15.3, 14.5, 14.3, 14.1, 13.9, 13.7, 13.5, 14.6, 15.5, 17.5, 18.8,
    20.8, 22.1, 22.5, 23.4, 23.7, 24.2, 24.7, 24.8, 23.9, 23, 21.8, 20.8,
    19.9, 18.9, 17.9, 17.2, 16.4, 15.7, 14.9, 14.2, 14.8, 15.6, 16, 17.7,
    17.7, 18.7, 19.8, 20.8, 20.9, 20.4, 20, 19.6, 19.2, 18.6, 18.1, 17.2,
    16.4, 15.6, 14.8, 13.9, 13, 12.1, 11.2, 10.3, 10.8, 12.4, 15, 17.2, 19,
    20.8, 22.5, 23.1, 23.8, 23.9, 23.7, 23, 21.9, 20.3, 18.8, 18.5, 18.2, 18,
    17.7, 17.9, 18.1, 18.3, 18.5, 18.8, 18.9, 19.5, 20.5, 21.6, 23.3, 24,
    23.4, 23.5, 23.4, 22.9, 22.4, 22.5, 22.4, 22.2, 21.9, 21.3, 20.7, 20.1,
    19.5, 18.5, 17.4, 16.3, 15.2, 14.2, 14.6, 15.7, 17.9, 20.4, 22.7, 24.5,
    26.1, 27.5, 28.6, 29.3, 29.6, 29, 27.8, 26.3, 24.7, 23.9, 23.1, 22.3,
    21.5, 20.9, 20.4, 20, 19.5, 19, 19.2, 20.3, 21.7, 23.1, 24.4, 25.7, 26.8,
    27.7, 27.8, 27.3, 26.5, 25.7, 25.5, 24.8, 24.1, 22.9, 21.8, 20.6, 19.5,
    18.1, 16.7, 15.2, 13.8, 12.4, 12.8, 14.3, 16.2, 18.3, 20.3, 22.5, 24.4,
    26.1, 27.5, 28.2, 28.3, 27.9, 26.6, 25.2, 23.5, 21.8, 20.1, 18.4, 16.7,
    15.1, 13.6, 12, 10.4, 8.8, 9.1, 10.4, 12.7, 14.3, 16.2, 18.7, 20.6, 22.2,
    23.2, 23.9, 24.1, 23.4, 22.5, 21, 19.4, 18, 16.6, 15.1, 13.7, 12.5, 11.3,
    10.1, 8.8, 7.6, 8.2, 9.7, 10.6, 12.6, 13.7, 15.3, 16.9, 18.9, 20.2, 21.1,
    21.5, 21.3, 20.4, 19, 17.9, 16.9, 15.8, 14.8, 13.7, 12.9, 12, 11.2, 10.3,
    9.4, 9.9, 10.8, 11.4, 12.7, 14.1, 15.7, 17.2, 19.2, 20, 20.7, 20.8, 20.6,
    20.1, 18.8, 18, 17.3, 16.5, 15.8, 15, 14.4, 13.8, 13.2, 12.6, 11.9, 11.9,
    12.7, 13, 15, 16.9, 17.3, 17.3, 17.9, 19.6, 20.1, 19.8, 19.7, 19.2, 18.3,
    18.1, 17.9, 17.8, 17.6, 17.4, 17.4, 17.5, 17.6, 17.7, 17.7, 18, 18.4,
    18.8, 18.7, 20, 20.4, 21.3, 21.6, 22.1, 22.5, 23, 23.3, 23.3, 22.9, 22,
    21.1, 20.2, 19.3, 18.4, 16.9, 15.3, 13.7, 12.1, 10.5, 11, 12.3, 14.3,
    15.4, 17.2, 19.3, 20.8, 21.8, 22.4, 23, 22.7, 22, 20.5, 19.2, 18.3, 17.4,
    16.5, 15.6, 14.7, 14, 13.4, 12.7, 12, 11.4, 11.8, 13.1, 15.4, 18, 20.2,
    22.5, 24.5, 26, 27, 27.6, 27.7, 26.9, 25.8, 24.1, 22.9, 21.6, 20.4, 19.2,
    18, 16.9, 15.9, 14.8, 13.8, 12.7, 12.7, 13.9, 14.9, 15.7, 17.7, 20.1,
    21.5, 22.5, 24.1, 25.1, 25.1, 24.5, 23.6, 22.3, 21.1, 20, 18.8, 17.7,
    16.5, 15.3, 14.1, 12.8, 11.6, 10.3, 10.3, 11.1, 12.3, 14, 16.1, 18.2,
    19.6, 20.8, 21.5, 22, 21.7, 21.1, 20.2, 19, 18.5, 18, 17.5, 17, 16.5,
    16.3, 16.1, 15.8, 15.6, 15.4, 15.4, 16.2, 17.5, 19.2, 20.1, 21, 21.1,
    21.4, 21.3, 20.8, 20.5, 19.8, 19.3, 18.8, 18.7, 18.6, 18.5, 18.4, 18.3,
    18.2, 18.3, 18.3, 18.4, 18.4, 18.4, 18.9, 19.6, 20.3, 20.5, 21.8, 23,
    23.9, 25.1, 25.9, 25.9, 25.6, 24.8, 24.1, 23.2, 22.3, 21.4, 20.2, 19,
    17.8, 16.6, 15.4, 14, 12.6, 11.2, 13.5, 13.4, 13.6, 14.5, 15.8, 18.9,
    20.2, 20.7, 20.9, 21, 20.5, 19.6, 18.4, 17.5, 16.5, 15.5, 14.6, 13.6,
    12.9, 12.1, 11.3, 10.5, 9.7, 8.9, 11.3, 13.2, 15.7, 18.2, 20.6, 22, 22.9,
    23.7, 24, 23.8, 22.9, 21.6, 19.9, 19, 18.1, 17.2, 16.3, 15.4, 14.8, 14.2,
    13.6, 12.9, 12.3, 11.7, 13.7, 15.5, 17.1, 19.5, 19.3, 18, 18.4, 20.6,
    22.3, 22.5, 22.3, 21.3, 19.9, 19.6, 19.3, 19, 18.6, 18.3, 18.3, 18.3,
    18.3, 18.3, 18.3, 18.3, 19.2, 19.3, 19.6, 20.2, 20.6, 21.1, 21.5, 21.9,
    21.8, 21.7, 21.5, 21.3, 20.9, 20.5, 20.1, 19.6, 19.2, 18.7, 18.2, 17.6,
    17.1, 16.5, 16, 15.4, 16.6, 18.1, 19, 19.5, 20, 20.8, 21.1, 21.7, 21.5,
    21.2, 21.5, 21, 20.2, 19.4, 18.6, 17.8, 16.9, 16.1, 15.4, 14.7, 14, 13.3,
    12.6, 11.9, 13.1, 14.9, 16.6, 18.2, 18, 17.7, 18, 18.8, 19.3, 19.5, 18.9,
    18.2, 17.5, 16.5, 15.5, 14.5, 13.5, 12.5, 11.7, 10.8, 9.9, 9, 8, 7.1,
    9.6, 12, 14.6, 17, 18.2, 19.8, 20.9, 20.9, 20.3, 19, 18.1, 17, 15.5,
    14.8, 14, 13.2, 12.5, 11.7, 11.2, 10.6, 10, 9.4, 8.8, 8.2, 10.6, 13,
    14.1, 15.8, 17.4, 19, 20.9, 21.6, 21.7, 21.6, 20.9, 19.1, 17.6, 16.6,
    15.6, 14.6, 13.5, 12.5, 11.6, 10.7, 9.7, 8.8, 7.9, 6.9, 8.7, 10.5, 11.6,
    12.6, 14.5, 16.1, 17.6, 18.2, 17.6, 17.2, 16.5, 15.4, 14.1, 13.5, 12.8,
    12.1, 11.5, 10.8, 10.3, 9.8, 9.2, 8.7, 8.2, 7.7, 8.7, 10.8, 13.6, 15.8,
    16.9, 18, 18.7, 19.6, 19.7, 18.7, 17.7, 16.7, 15.4, 14.3, 13.2, 12.1,
    10.9, 9.8, 8.6, 7.3, 6, 4.8, 3.5, 2.2, 3.8, 6.4, 9.1, 11.5, 13.7, 15.4,
    16.8, 17.6, 17.8, 17.6, 16.3, 14.6, 12.7, 11.7, 10.7, 9.7, 8.7, 7.7, 7.1,
    6.5, 5.9, 5.3, 4.6, 4, 6.3, 8.8, 10.5, 12.9, 15.1, 17.1, 18.3, 19.2,
    19.7, 19.7, 18.8, 16.9, 15.1, 14.1, 13, 12, 11, 9.9, 9, 8.1, 7.1, 6.2,
    5.2, 4.3, 6, 8.4, 11.2, 13.2, 15.3, 17.4, 18.9, 19.7, 19.9, 19.5, 18.4,
    16.7, 14.9, 14.2, 13.5, 12.8, 12.1, 11.4, 11, 10.6, 10.1, 9.7, 9.2, 8.8,
    10.6, 13.1, 15.7, 17.8, 19.5, 20.2, 20.9, 21.6, 21.9, 21.1, 20, 18.7,
    17.2, 16.5, 15.9, 15.2, 14.5, 13.8, 13.3, 12.7, 12.1, 11.6, 11, 10.4,
    10.7, 11, 11.8, 13.5, 14.6, 15.6, 16, 16.1, 16.9, 17.3, 17.3, 16.7, 15.8,
    15.2, 14.7, 14.2, 13.6, 13.1, 12.6, 12.2, 11.7, 11.3, 10.8, 10.4, 11.1,
    11.7, 11.5, 11.5, 12, 13.1, 14.8, 15.9, 16.5, 16.9, 16.7, 16, 15.2, 14.4,
    13.6, 12.8, 12, 11.2, 10, 8.7, 7.4, 6.1, 4.7, 3.4, 4.8, 6.2, 8.3, 10,
    12.4, 13.6, 14.3, 14.5, 14.5, 13.9, 12.5, 11.3, 11, 10.8, 10.5, 10.3, 10,
    9.8, 10, 10.3, 10.5, 10.8, 11, 11.2, 11.8, 12.7, 13.1, 13.8, 13.8, 14.4,
    14.8, 15, 15.4, 15.6, 15.3, 14.9, 14.7, 14.4, 14.2, 14, 13.7, 13.5, 13.2,
    12.9, 12.6, 12.3, 12, 11.7, 11.9, 12, 12.3, 12.9, 13.1, 13.4, 13.5, 13.6,
    13.8, 13.8, 13.5, 13.2, 13.1, 12.9, 12.8, 12.7, 12.6, 12.4, 12.4, 12.3,
    12.2, 12.1, 12.1, 12, 12.1, 12.1, 12.1, 12.1, 12.4, 12.6, 12.7, 12.8,
    12.8, 12.7, 12.7, 12.6, 12.5, 12.5, 12.4, 12.3, 12.3, 12.2, 12.1, 12.1,
    12, 12, 11.9, 11.8, 11.9, 12.1, 12.2, 13.2, 13.3, 13.5, 14.1, 14.5, 14.6,
    14.7, 14.6, 14.3, 13.9, 13.6, 13.3, 12.9, 12.6, 12.2, 11.1, 9.9, 8.7,
    7.5, 6.3, 5.1, 6, 7.9, 10.6, 11.9, 13.5, 15.4, 16.7, 17.4, 17.5, 17.4,
    16.3, 14.8, 14.1, 13.3, 12.5, 11.8, 11, 10.2, 9.8, 9.3, 8.8, 8.3, 7.8,
    7.3, 8, 10.1, 11.9, 13.9, 15.5, 17.2, 18.7, 19.4, 19.4, 19.4, 18.6, 17.2,
    16.5, 15.9, 15.3, 14.7, 14.1, 13.4, 13, 12.5, 12.1, 11.6, 11.2, 10.7,
    11.3, 12.8, 14.9, 16.4, 17.7, 17.9, 18, 18.7, 18.6, 18.1, 17.7, 16.8, 16,
    15.2, 14.5, 13.7, 12.9, 12.1, 11.3, 10.5, 9.7, 8.9, 8.1, 7.3, 7.9, 9.3,
    11.6, 14.4, 16.3, 17.3, 18.1, 19.1, 19.5, 19.3, 18.2, 16.6, 15.8, 15,
    14.2, 13.4, 12.6, 11.8, 11.1, 10.3, 9.6, 8.8, 8, 7.3, 7.8, 9.6, 12.2,
    13.3, 14.2, 14.7, 14.4, 14.2, 14, 14.3, 13.6, 12.6, 12.1, 11.7, 11.2,
    10.8, 10.3, 9.8, 9.7, 9.5, 9.4, 9.2, 9.1, 8.9, 9, 9.2, 9.7, 10.3, 10.9,
    11.6, 12.6, 12.8, 13, 13.3, 13.4, 13.1, 12.5, 11.9, 11.3, 10.6, 10, 9.4,
    8.4, 7.3, 6.3, 5.2, 4.2, 3.1, 3.4, 5.2, 6.4, 8.6, 10.8, 12.8, 14.1, 14.5,
    14.7, 13.8, 12.8, 11.4, 11, 10.6, 10.2, 9.7, 9.3, 8.9, 8.7, 8.5, 8.4,
    8.2, 8, 7.8, 8.3, 9.3, 10.4, 11.9, 14, 15.3, 16, 16.5, 15.8, 15.1, 14.3,
    13.5, 13, 12.4, 11.9, 11.4, 10.8, 10.3, 9.5, 8.8, 8, 7.2, 6.5, 5.7, 6.2,
    7.9, 9.5, 12, 14.1, 15.4, 16.3, 16.7, 16.9, 16.4, 15.5, 14.1, 13, 11.8,
    10.7, 9.6, 8.4, 7.1, 5.9, 4.7, 3.5, 2.3, 1, -0.3, 0.1, 0.9, 3.6, 6, 8.4,
    10.6, 12.1, 13.3, 13.6, 13.4, 12.3, 10.5, 9.8, 9.2, 8.5, 7.8, 7.1, 6.5,
    6, 5.6, 5.1, 4.7, 4.3, 3.9, 3.9, 4.5, 5, 6, 7.3, 8.4, 8.2, 8.6, 9.3, 9.1,
    8.8, 8.1, 7.5, 6.9, 6.3, 5.7, 5.1, 4.5, 3.8, 3.2, 2.5, 1.8, 1.2, 0.5,
    0.5, 1.3, 3.5, 6.3, 9.1, 11.9, 13.7, 14.3, 14.8, 14.2, 13.1, 11.4, 10.6,
    9.8, 9, 8.2, 7.4, 6.6, 5.8, 5, 4.2, 3.3, 2.5, 1.7, 0.9, 4.3, 6.1, 9.2,
    12, 14.6, 16.3, 17.3, 17.2, 16.2, 14.4, 12.3, 11.6, 10.9, 10.2, 9.6, 8.9,
    8.2, 7.6, 7, 6.4, 5.7, 5.1, 4.5, 3.9, 6.5, 10, 12.4, 14.8, 15.7, 16.3,
    16.7, 16.5, 15.6, 13.7, 11.9, 11.5, 11.1, 10.7, 10.4, 10, 9.6, 9.3, 9,
    8.8, 8.6, 8.3, 8.1, 7.8, 8.4, 9.4, 10.2, 11.8, 13, 13.7, 14.4, 14, 13.6,
    12.8, 12, 11.8, 11.5, 11.2, 10.9, 10.7, 10.4, 10, 9.6, 9.3, 8.9, 8.5,
    8.1, 7.8, 11.5, 12.1, 15.2, 15.9, 16.6, 16.2, 15.4, 14.8, 13.9, 13, 12.1,
    11.9, 11.6, 11.4, 11.2, 10.9, 10.7, 10.3, 10, 9.6, 9.2, 8.9, 8.5, 8.2, 9,
    9.2, 10.6, 11.6, 11.6, 11.7, 11.8, 12, 11.7, 11.2, 10.7, 10.5, 10.4,
    10.2, 10.1, 9.9, 9.7, 9.7, 9.6, 9.6, 9.5, 9.5, 9.4, 9.3, 11.2, 12.5,
    14.1, 15.4, 15, 15.1, 15.4, 15, 14.2, 13.6, 12.9, 12.6, 12.4, 12.2, 12,
    11.7, 11.5, 11.2, 10.9, 10.7, 10.4, 10.1, 9.8, 9.5, 10.8, 10.7, 13, 14.7,
    15.5, 17.9, 18.7, 19.3, 18.9, 18, 17.6, 17.2, 16.8, 16.4, 16, 15.7, 15.3,
    14.8, 14.4, 14, 13.6, 13.2, 12.8, 12.4, 13.2, 14.9, 15.9, 16.3, 16.9,
    17.4, 17.9, 17.5, 16.8, 16, 15.6, 15.3, 14.9, 14.5, 14.2, 13.8, 13.4, 13,
    12.5, 12.1, 11.6, 11.2, 10.7, 10.3, 11.5, 13.4, 14.6, 16, 16.7, 16.9,
    16.7, 16.7, 16.7, 16.1, 15.4, 14.8, 14.1, 13.5, 12.8, 12.2, 11.6, 11,
    10.4, 9.8, 9.2, 8.6, 8, 7.3, 9.6, 12.5, 14, 15.9, 17.6, 18.2, 18.5, 18.4,
    18, 16.7, 16.1, 15.5, 14.9, 14.3, 13.7, 13.1, 12.5, 12.1, 11.8, 11.4, 11,
    10.7, 10.3, 10, 11.4, 12.1, 13.6, 14.3, 14.7, 15.4, 16, 16.2, 15.7, 15.2,
    14.8, 14.3, 13.8, 13.3, 12.8, 12.3, 11.8, 11.3, 10.9, 10.4, 10, 9.5, 9.1,
    8.6, 8.8, 9.8, 10.7, 13, 15.9, 16.6, 16.9, 17.1, 17.1, 16.4, 15.7, 15,
    14.3, 13.5, 12.8, 12.1, 11.4, 10.7, 9.9, 9.1, 8.4, 7.6, 6.8, 6.1, 7.9,
    10, 11.1, 11.9, 12.9, 13.5, 13.4, 12.7, 11.5, 10.8, 10.4, 10.1, 9.7, 9.4,
    9, 8.7, 8.4, 8.1, 7.8, 7.5, 7.2, 6.9, 6.6, 6.4, 8.5, 9.1, 11.5, 12.9,
    14.5, 15.3, 15.7, 15.8, 15.5, 14.4, 14, 13.6, 13.2, 12.8, 12.5, 12.1,
    11.7, 11.4, 11.2, 10.9, 10.7, 10.4, 10.2, 9.9, 11.2, 11.5, 11.8, 11.9,
    12.2, 12.1, 11.9, 12.1, 11.8, 11.4, 11.2, 11, 10.8, 10.6, 10.3, 10.1,
    9.9, 9.6, 9.3, 9, 8.7, 8.4, 8, 7.7, 8, 8.6, 9.1, 9.9, 10.4, 11.3, 11.7,
    11.1, 10.8, 10.5, 10.3, 10.2, 10, 9.9, 9.7, 9.6, 9.4, 9.2, 9.1, 8.9, 8.7,
    8.6, 8.4, 8.2, 9.9, 11.7, 13.3, 15.5, 16.4, 17, 16.2, 15.7, 15.3, 14.4,
    14.1, 13.9, 13.6, 13.4, 13.1, 12.9, 12.6, 12.3, 12, 11.7, 11.4, 11.1,
    10.8, 10.5, 10.9, 11.4, 11.2, 11.6, 12, 12.5, 12.7, 12.9, 12.7, 12.5,
    12.2, 11.9, 11.7, 11.4, 11.1, 10.8, 10.6, 9.9, 9.3, 8.7, 8.1, 7.5, 6.9,
    6.3, 7, 7.6, 8.3, 9.7, 10.5, 11.6, 11.9, 11.2, 10.6, 10, 9.6, 9.2, 8.8,
    8.4, 8, 7.5, 7.1, 6.6, 6.2, 5.7, 5.2, 4.7, 4.3, 3.8, 4.6, 5.6, 6.3, 8.3,
    10.2, 11.9, 12, 11, 10.6, 9.6, 9.4, 9.2, 8.9, 8.7, 8.5, 8.3, 8.1, 7.8,
    7.6, 7.3, 7.1, 6.9, 6.7, 6.4, 7.4, 8.4, 10, 11, 11, 11.2, 10.8, 10.1,
    9.9, 9.3, 9, 8.7, 8.3, 8, 7.6, 7.3, 7, 6, 4.9, 3.9, 2.9, 1.8, 0.8, -0.2,
    0.8, 3, 4.3, 6.1, 7.4, 8.2, 8.4, 8.4, 7.3, 6, 5.4, 4.9, 4.4, 3.9, 3.4,
    2.9, 2.4, 2, 1.7, 1.3, 1, 0.6, 0.3, -0.1, 0.4, 1.9, 2.4, 3.1, 2.9, 3.7,
    4.1, 4.4, 3.9, 3.3, 3, 2.8, 2.5, 2.2, 2, 1.7, 1.4, 1.2, 1, 0.8, 0.5, 0.3,
    0.1, -0.1, 1.1, 2.9, 3.9, 4.7, 5.3, 6.4, 7.2, 7.5, 7.1, 6.2, 5.6, 5.1,
    4.5, 3.9, 3.4, 2.8, 2.2, 1.6, 0.8, 0.1, -0.7, -1.5, -2.2, -3, -2.6, -0.9,
    0.8, 2.4, 3.7, 4.3, 4.4, 4.1, 2.9, 1.7, 1.5, 1.3, 1.2, 1, 0.8, 0.6, 0.4,
    0.8, 1.2, 1.5, 1.9, 2.3, 2.7, 3.1, 3.8, 5.3, 6.8, 8.1, 9.3, 10.6, 11,
    11.3, 10.7, 9.6, 9.4, 9.2, 9, 8.8, 8.6, 8.4, 8.1, 7.7, 7.4, 7, 6.6, 6.3,
    5.9, 5.5, 6, 6.8, 8.5, 9.5, 10.9, 11.4, 11.1, 11, 10.5, 9.9, 9.3, 8.8,
    8.3, 7.7, 7.2, 6.7, 6.1, 5.5, 4.8, 4.2, 3.5, 2.9, 2.3, 1.6, 2.3, 3.3,
    5.6, 7.1, 8.3, 9.1, 9.3, 9.7, 9.2, 8.1, 7.2, 6.4, 5.6, 4.7, 3.9, 3.1,
    2.2, 1.3, 0.4, -0.6, -1.5, -2.4, -3.4, -4.3, -3.9, -3.3, -2.4, -2.1,
    -1.4, 0, 1.1, 1.5, 1.1, 0.2, -0.2, -0.6, -1, -1.4, -1.8, -2.2, -2.6, -3,
    -3.3, -3.6, -3.9, -4.2, -4.5, -4.8, -4.7, -2, -0.1, 1.7, 4.6, 6.5, 7.2,
    7.1, 5.9, 4.2, 3.8, 3.4, 3, 2.6, 2.2, 1.8, 1.4, 0.9, 0.4, -0.2, -0.7,
    -1.2, -1.7, -2.2, -2.2, -0.4, 1.5, 2.6, 4.9, 4.6, 4.6, 4.5, 3.8, 2.8,
    2.4, 1.9, 1.4, 1, 0.5, 0, -0.5, -0.9, -1.4, -1.9, -2.4, -2.8, -3.3, -3.8,
    -4.3, -1.6, 0.5, 3.7, 4.8, 6.6, 7.4, 7.7, 6.1, 4.2, 3.9, 3.6, 3.3, 3,
    2.7, 2.4, 2.1, 1.8, 1.5, 1.2, 1, 0.7, 0.4, 0.1, -0.2, 0.4, 2.5, 4, 5.8,
    7, 5.9, 5.6, 4.8, 3.8, 3.7, 3.7, 3.7, 3.6, 3.6, 3.6, 3.5, 3.3, 3.1, 3,
    2.8, 2.6, 2.4, 2.2, 2, 2.4, 3.8, 4.6, 5.2, 5.2, 5.3, 4.9, 4.5, 4, 3.8,
    3.5, 3.3, 3.1, 2.8, 2.6, 2.3, 1.7, 1.1, 0.4, -0.2, -0.9, -1.5, -2.2,
    -2.8, 1.5, 4.9, 6.7, 9.2, 10.8, 10.7, 10.1, 7.8, 7.4, 7, 6.6, 6.2, 5.8,
    5.4, 5, 4.6, 4.3, 4.1, 3.9, 3.6, 3.4, 3.1, 2.9, 2.6, 7.4, 10.3, 11.4,
    12.1, 12.8, 13.9, 13.7, 11.9, 11.5, 11, 10.5, 10, 9.5, 9, 8.6, 8.1, 7.6,
    7.1, 6.5, 6, 5.4, 4.9, 4.4, 3.8, 7.5, 9.6, 10.8, 12.1, 12.6, 11.9, 12.5,
    11.8, 11.4, 11, 10.6, 10.2, 9.8, 9.4, 9.1, 8.7, 8.6, 8.5, 8.3, 8.2, 8.1,
    8, 7.9, 7.8, 9.5, 10.4, 12.5, 12.6, 12.4, 12.7, 12.4, 11.4, 11.3, 11.2,
    11.1, 10.9, 10.8, 10.7, 10.6, 10.5, 10.4, 10.3, 10.2, 10.2, 10.1, 10,
    9.9, 9.9, 10.8, 11.3, 11.7, 12.1, 12.9, 13.4, 13.4, 12.8, 12.5, 12.2,
    11.9, 11.6, 11.3, 11, 10.7, 10.4, 9.7, 8.9, 8.2, 7.4, 6.7, 5.9, 5.2, 4.5,
    4.5, 5.6, 7.7, 9.6, 10.7, 9.7, 9.3, 8.2, 8.1, 7.9, 7.8, 7.7, 7.5, 7.4,
    7.3, 7.1, 7, 6.9, 6.8, 6.7, 6.5, 6.4, 6.3, 6.2, 6.2, 6.5, 6.7, 6.7, 6.8,
    6.7, 6.7, 6.7, 6.7, 6.6, 6.5, 6.4, 6.4, 6.3, 6.2, 6.1, 5.7, 5.2, 4.8,
    4.4, 3.9, 3.5, 3.1, 2.6, 3.9, 4.6, 7.8, 8.3, 9.5, 10.2, 10.4, 9.5, 8.8,
    8.1, 7.4, 6.7, 6, 5.3, 4.7, 4, 3.2, 2.3, 1.5, 0.6, -0.2, -1, -1.9, -2.7,
    -0.9, 1.2, 2.8, 5, 6.8, 7, 6.1, 4.7, 4.5, 4.2, 3.9, 3.6, 3.3, 3, 2.7,
    2.4, 2.3, 2.1, 2, 1.9, 1.8, 1.6, 1.5, 1.4, 3.8, 4.5, 5.4, 7.3, 9.1, 10.1,
    10.2, 8.9, 8.7, 8.4, 8.2, 8, 7.8, 7.6, 7.3, 7.1, 6.9, 6.6, 6.4, 6.1, 5.8,
    5.6, 5.3, 5.1, 5.4, 5.6, 6, 6.3, 6.4, 6.5, 6.4, 6.2, 6, 5.9, 5.7, 5.6,
    5.4, 5.2, 5.1, 4.9, 4.6, 4.2, 3.8, 3.4, 3, 2.6, 2.2, 1.8, 3, 4.9, 6.2,
    6.8, 7.4, 7.1, 6.6, 6, 5.8, 5.7, 5.5, 5.4, 5.2, 5.1, 4.9, 4.7, 4.7, 4.7,
    4.7, 4.7, 4.7, 4.7, 4.7, 4.6, 7.3, 8.6, 11.1, 13.1, 14.6, 15, 14.4, 12.8,
    12.3, 11.9, 11.4, 11, 10.5, 10.1, 9.6, 9.2, 8.5, 7.8, 7, 6.3, 5.6, 4.9,
    4.2, 3.5, 5.4, 8.2, 10.8, 11.7, 13, 13.5, 12.9, 11.4, 10.9, 10.3, 9.8,
    9.3, 8.7, 8.2, 7.7, 7.1, 6.6, 6.1, 5.6, 5.1, 4.6, 4, 3.5, 3, 3.4, 5.8,
    8.4, 8.6, 9.6, 10.2, 9.8, 8.7, 8.5, 8.3, 8.2, 8, 7.8, 7.6, 7.4, 7.3, 7.2,
    7.1, 7.1, 7, 6.9, 6.9, 6.8, 6.7, 6.9, 7, 7.1, 7.5, 7.5, 7.6, 7.6, 7.5,
    7.5, 7.5, 7.5, 7.5, 7.5, 7.5, 7.5, 7.5, 7.5, 7.5, 7.6, 7.6, 7.7, 7.7,
    7.7, 7.8, 7.9, 7.9, 8, 8.2, 8.3, 8.3, 8.3, 8.3, 8.3, 8.2, 8.2, 8.1, 8.1,
    8, 7.9, 7.9, 7, 6, 5, 4, 3, 2, 1, 0, 0.2, 0.5, 1.2, 1.9, 2, 1.9, 1.9,
    1.3, 1.4, 1.5, 1.5, 1.6, 1.7, 1.8, 1.8, 1.9, 2.2, 2.6, 3, 3.3, 3.7, 4,
    4.4, 4.8, 5.1, 5.2, 5.6, 6.3, 6.9, 7.1, 6.9, 6.8, 6.8, 6.7, 6.7, 6.7,
    6.6, 6.6, 6.6, 6.6, 6.4, 6.2, 5.9, 5.7, 5.5, 5.3, 5.1, 4.9, 5, 5, 5, 5.1,
    5.2, 5.3, 5.4, 5.3, 5.2, 5.2, 5.1, 5, 4.9, 4.9, 4.8, 4.7, 4.1, 3.6, 3.1,
    2.5, 2, 1.4, 0.9, 0.4, 1.2, 3, 3.6, 6.2, 7.6, 8.2, 7.4, 6.4, 5.8, 5.3,
    4.8, 4.2, 3.7, 3.2, 2.6, 2.1, 1.4, 0.8, 0.1, -0.6, -1.3, -1.9, -2.6,
    -3.3, -2.7, -0.2, 1.3, 2.4, 4, 4.5, 4, 2.5, 2.1, 1.7, 1.3, 1, 0.6, 0.2,
    -0.2, -0.6, -0.9, -1.4, -1.8, -2.2, -2.6, -3, -3.4, -3.8, -3.4, -3.1,
    -2.8, -2.4, -2.3, -2.5, -2.7, -3, -3, -3.1, -3.1, -3.1, -3.2, -3.2, -3.2,
    -3.3, -3.2, -3.1, -3, -3, -2.9, -2.8, -2.7, -2.6, -1.8, 0.4, 1.7, 3, 3.2,
    2.4, 1.8, 0.9, 1.3, 1.6, 1.9, 2.2, 2.6, 2.9, 3.2, 3.6, 3.6, 3.6, 3.7,
    3.7, 3.8, 3.8, 3.9, 3.9, 4.4, 5.4, 7.4, 7.8, 7.8, 8.4, 8.2, 7.6, 7.3, 7,
    6.7, 6.4, 6.1, 5.8, 5.5, 5.2, 4.7, 4.2, 3.6, 3.1, 2.5, 2, 1.4, 0.9, 1.1,
    0.9, 1, 1.5, 1.9, 2.3, 2.3, 1.9, 2.1, 2.4, 2.6, 2.8, 3.1, 3.3, 3.5, 3.8,
    4, 4.3, 4.6, 4.9, 5.2, 5.5, 5.8, 6.1, 6.5, 7.2, 8.5, 9.5, 9.2, 9.3, 9.2,
    8.7, 8.5, 8.4, 8.2, 8, 7.8, 7.6, 7.5, 7.3, 6.8, 6.4, 6, 5.6, 5.1, 4.7,
    4.3, 3.9, 3.9, 6.1, 8.4, 9.4, 9.3, 9.7, 9.1, 8.1, 7.8, 7.4, 7.1, 6.7,
    6.4, 6, 5.7, 5.3, 4.9, 4.5, 4.1, 3.7, 3.2, 2.8, 2.4, 2, 2, 2.5, 3.1, 4.1,
    4.4, 4.5, 4.6, 4.2, 4, 3.7, 3.4, 3.1, 2.8, 2.5, 2.3, 2, 1.7, 1.5, 1.2, 1,
    0.8, 0.5, 0.3, 0, 0, 0.6, 1, 1.6, 1.9, 2, 1.6, 1.4, 1.2, 1.1, 0.9, 0.8,
    0.6, 0.5, 0.4, 0.2, 0.1, -0.1, -0.3, -0.4, -0.6, -0.7, -0.9, -1, -1, 0,
    0.8, 0.9, 1.7, 1.8, 2.4, 1.8, 1.7, 1.6, 1.5, 1.4, 1.3, 1.1, 1, 0.9, 0.8,
    0.7, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1, 0, 0.8, 1.2, 2.4, 3.1, 2.9, 3.1, 2.6,
    2.4, 2.1, 1.8, 1.5, 1.2, 0.9, 0.7, 0.4, -0.1, -0.5, -0.9, -1.4, -1.8,
    -2.2, -2.7, -3.1, -3.5, -1.7, -0.3, 2.4, 2.6, 1.5, 0.7, 0, -0.1, -0.3,
    -0.5, -0.6, -0.8, -1, -1.1, -1.3, -1.6, -1.7, -1.8, -1.9, -2, -2.2, -2.3,
    -2.4, -2.5, 1.6, 3.7, 5.6, 4.2, 2.3, 2.2, 1.4, 1.2, 0.9, 0.7, 0.5, 0.2,
    0, -0.3, -0.5, -1.2, -2, -2.7, -3.5, -4.2, -5, -5.7, -6.5, -7.2, -2.4,
    0.5, 0.4, 1.4, 2.1, 1.2, -0.8, -1, -1.3, -1.5, -1.7, -2, -2.2, -2.5,
    -2.7, -2.8, -2.8, -2.8, -2.8, -2.8, -2.8, -2.8, -2.8, -2.8, 1.6, 4.7,
    6.9, 8.2, 8.6, 7.4, 5.4, 5, 4.6, 4.2, 3.7, 3.3, 2.9, 2.5, 2, 1.3, 0.5,
    -0.4, -1.2, -2, -2.9, -3.7, -4.5, -5.4, -1.4, 0.9, 1.6, 2.4, 2.6, 1.8,
    0.3, 0.3, 0.3, 0.3, 0.3, 0.3, 0.3, 0.3, 0.3, 0.6, 0.9, 1.3, 1.6, 2, 2.4,
    2.7, 3.1, 3.4, 6, 7, 8.3, 8.2, 6.9, 6.4, 5.9, 5.8, 5.8, 5.8, 5.8, 5.8,
    5.8, 5.8, 5.7, 5.3, 4.9, 4.4, 4, 3.5, 3, 2.6, 2.1, 1.7, 5.3, 7, 8.1, 9.8,
    10.1, 9.4, 7.9, 7.8, 7.7, 7.6, 7.5, 7.4, 7.3, 7.2, 7.1, 7.1, 7.2, 7.3,
    7.4, 7.4, 7.5, 7.6, 7.7, 7.8, 10, 11, 12, 11.6, 11.1, 11.2, 10.8, 10.6,
    10.4, 10.2, 9.9, 9.7, 9.5, 9.3, 9, 8.3, 7.6, 6.9, 6.1, 5.4, 4.6, 3.9,
    3.1, 2.4, 5.3, 4.9, 4.8, 6.5, 6.8, 6.3, 5.5, 5.3, 5.2, 5, 4.8, 4.7, 4.5,
    4.3, 4.2, 4.2, 4.4, 4.6, 4.8, 5, 5.2, 5.3, 5.5, 5.7, 7.7, 9.1, 11.2,
    11.1, 11.1, 11.1, 11.2, 11.1, 11.1, 11.1, 11, 11, 10.9, 10.9, 10.8, 10.3,
    9.8, 9.2, 8.7, 8.2, 7.6, 7.1, 6.6, 6, 7.1, 8.3, 9.6, 10.5, 10.3, 9.4,
    8.5, 8.3, 8.1, 7.9, 7.7, 7.5, 7.3, 7.1, 6.9, 6.7, 6.5, 6.4, 6.2, 6.1,
    5.9, 5.8, 5.6, 5.5, 7.7, 8.7, 8.6, 9.6, 10.5, 11.1, 10.1, 9.6, 9.2, 8.7,
    8.2, 7.7, 7.2, 6.7, 6.2, 5, 3.8, 2.5, 1.2, -0.1, -1.3, -2.6, -3.9, -5.2,
    -4, -3.2, -1.2, 0, 0.1, -0.7, -1.8, -2, -2.1, -2.3, -2.4, -2.5, -2.7,
    -2.8, -2.9, -2.7, -2.3, -1.9, -1.6, -1.2, -0.8, -0.4, 0, 0.3, 4.7, 7.4,
    9, 10.6, 10.7, 9.5, 7.9, 7.6, 7.3, 7, 6.7, 6.4, 6.1, 5.9, 5.6, 4.9, 4.1,
    3.3, 2.6, 1.8, 1, 0.3, -0.5, -1.3, -0.8, -0.8, -0.2, -0.3, -0.1, -0.4,
    -0.7, -0.9, -1.1, -1.3, -1.5, -1.7, -1.9, -2.1, -2.2, -2.8, -3.4, -4,
    -4.6, -5.2, -5.8, -6.4, -6.9, -7.5, -4.5, -1.7, -1.7, -1.4, -1.9, -2.5,
    -3.6, -4, -4.4, -4.8, -5.2, -5.5, -5.9, -6.3, -6.7, -7.1, -7.5, -7.8,
    -8.2, -8.5, -8.9, -9.2, -9.6, -9.9, -6.6, -6.5, -3.2, -1, -0.5, -0.9,
    -2.7, -2.9, -3.1, -3.3, -3.5, -3.6, -3.8, -4, -4.2, -4.5, -4.8, -5.2,
    -5.5, -5.8, -6.1, -6.4, -6.7, -7, -3.7, -2.6, -2.5, -1.9, -0.9, -0.4,
    -1.7, -1.9, -2.2, -2.4, -2.6, -2.8, -3, -3.3, -3.5, -3.7, -3.9, -4.1,
    -4.3, -4.5, -4.7, -4.9, -5.1, -5.4, -4.3, -2.3, -2.2, -1.6, -0.7, -0.9,
    -1.5, -1.6, -1.7, -1.7, -1.8, -1.9, -2, -2, -2.1, -2.1, -2.2, -2.2, -2.2,
    -2.2, -2.2, -2.3, -2.3, -2.3, -0.9, -0.7, 0, 0, 0.4, 0.1, -0.1, -0.2,
    -0.3, -0.3, -0.4, -0.4, -0.5, -0.6, -0.6, -0.7, -0.7, -0.8, -0.8, -0.9,
    -0.9, -0.9, -1, -1, 3, 4.7, 7.3, 7.5, 7.2, 6.1, 4.7, 4.7, 4.6, 4.6, 4.6,
    4.5, 4.5, 4.4, 4.4, 4.2, 4.1, 3.9, 3.7, 3.6, 3.4, 3.3, 3.1, 3, 4, 3.8,
    3.9, 4.6, 4.9, 4.7, 4.3, 4.2, 4, 3.9, 3.7, 3.6, 3.4, 3.3, 3.1, 2.7, 2.3,
    2, 1.6, 1.2, 0.8, 0.4, 0, -0.4, 1, 2.5, 3.1, 3.6, 2.9, 2.6, 1.9, 1.8,
    1.6, 1.5, 1.4, 1.3, 1.2, 1.1, 0.9, 9 ;

 time = 1800, 5400, 9000, 12600, 16200, 19800, 23400, 27000, 30600, 34200,
    37800, 41400, 45000, 48600, 52200, 55800, 59400, 63000, 66600, 70200,
    73800, 77400, 81000, 84600, 88200, 91800, 95400, 99000, 102600, 106200,
    109800, 113400, 117000, 120600, 124200, 127800, 131400, 135000, 138600,
    142200, 145800, 149400, 153000, 156600, 160200, 163800, 167400, 171000,
    174600, 178200, 181800, 185400, 189000, 192600, 196200, 199800, 203400,
    207000, 210600, 214200, 217800, 221400, 225000, 228600, 232200, 235800,
    239400, 243000, 246600, 250200, 253800, 257400, 261000, 264600, 268200,
    271800, 275400, 279000, 282600, 286200, 289800, 293400, 297000, 300600,
    304200, 307800, 311400, 315000, 318600, 322200, 325800, 329400, 333000,
    336600, 340200, 343800, 347400, 351000, 354600, 358200, 361800, 365400,
    369000, 372600, 376200, 379800, 383400, 387000, 390600, 394200, 397800,
    401400, 405000, 408600, 412200, 415800, 419400, 423000, 426600, 430200,
    433800, 437400, 441000, 444600, 448200, 451800, 455400, 459000, 462600,
    466200, 469800, 473400, 477000, 480600, 484200, 487800, 491400, 495000,
    498600, 502200, 505800, 509400, 513000, 516600, 520200, 523800, 527400,
    531000, 534600, 538200, 541800, 545400, 549000, 552600, 556200, 559800,
    563400, 567000, 570600, 574200, 577800, 581400, 585000, 588600, 592200,
    595800, 599400, 603000, 606600, 610200, 613800, 617400, 621000, 624600,
    628200, 631800, 635400, 639000, 642600, 646200, 649800, 653400, 657000,
    660600, 664200, 667800, 671400, 675000, 678600, 682200, 685800, 689400,
    693000, 696600, 700200, 703800, 707400, 711000, 714600, 718200, 721800,
    725400, 729000, 732600, 736200, 739800, 743400, 747000, 750600, 754200,
    757800, 761400, 765000, 768600, 772200, 775800, 779400, 783000, 786600,
    790200, 793800, 797400, 801000, 804600, 808200, 811800, 815400, 819000,
    822600, 826200, 829800, 833400, 837000, 840600, 844200, 847800, 851400,
    855000, 858600, 862200, 865800, 869400, 873000, 876600, 880200, 883800,
    887400, 891000, 894600, 898200, 901800, 905400, 909000, 912600, 916200,
    919800, 923400, 927000, 930600, 934200, 937800, 941400, 945000, 948600,
    952200, 955800, 959400, 963000, 966600, 970200, 973800, 977400, 981000,
    984600, 988200, 991800, 995400, 999000, 1002600, 1006200, 1009800,
    1013400, 1017000, 1020600, 1024200, 1027800, 1031400, 1035000, 1038600,
    1042200, 1045800, 1049400, 1053000, 1056600, 1060200, 1063800, 1067400,
    1071000, 1074600, 1078200, 1081800, 1085400, 1089000, 1092600, 1096200,
    1099800, 1103400, 1107000, 1110600, 1114200, 1117800, 1121400, 1125000,
    1128600, 1132200, 1135800, 1139400, 1143000, 1146600, 1150200, 1153800,
    1157400, 1161000, 1164600, 1168200, 1171800, 1175400, 1179000, 1182600,
    1186200, 1189800, 1193400, 1197000, 1200600, 1204200, 1207800, 1211400,
    1215000, 1218600, 1222200, 1225800, 1229400, 1233000, 1236600, 1240200,
    1243800, 1247400, 1251000, 1254600, 1258200, 1261800, 1265400, 1269000,
    1272600, 1276200, 1279800, 1283400, 1287000, 1290600, 1294200, 1297800,
    1301400, 1305000, 1308600, 1312200, 1315800, 1319400, 1323000, 1326600,
    1330200, 1333800, 1337400, 1341000, 1344600, 1348200, 1351800, 1355400,
    1359000, 1362600, 1366200, 1369800, 1373400, 1377000, 1380600, 1384200,
    1387800, 1391400, 1395000, 1398600, 1402200, 1405800, 1409400, 1413000,
    1416600, 1420200, 1423800, 1427400, 1431000, 1434600, 1438200, 1441800,
    1445400, 1449000, 1452600, 1456200, 1459800, 1463400, 1467000, 1470600,
    1474200, 1477800, 1481400, 1485000, 1488600, 1492200, 1495800, 1499400,
    1503000, 1506600, 1510200, 1513800, 1517400, 1521000, 1524600, 1528200,
    1531800, 1535400, 1539000, 1542600, 1546200, 1549800, 1553400, 1557000,
    1560600, 1564200, 1567800, 1571400, 1575000, 1578600, 1582200, 1585800,
    1589400, 1593000, 1596600, 1600200, 1603800, 1607400, 1611000, 1614600,
    1618200, 1621800, 1625400, 1629000, 1632600, 1636200, 1639800, 1643400,
    1647000, 1650600, 1654200, 1657800, 1661400, 1665000, 1668600, 1672200,
    1675800, 1679400, 1683000, 1686600, 1690200, 1693800, 1697400, 1701000,
    1704600, 1708200, 1711800, 1715400, 1719000, 1722600, 1726200, 1729800,
    1733400, 1737000, 1740600, 1744200, 1747800, 1751400, 1755000, 1758600,
    1762200, 1765800, 1769400, 1773000, 1776600, 1780200, 1783800, 1787400,
    1791000, 1794600, 1798200, 1801800, 1805400, 1809000, 1812600, 1816200,
    1819800, 1823400, 1827000, 1830600, 1834200, 1837800, 1841400, 1845000,
    1848600, 1852200, 1855800, 1859400, 1863000, 1866600, 1870200, 1873800,
    1877400, 1881000, 1884600, 1888200, 1891800, 1895400, 1899000, 1902600,
    1906200, 1909800, 1913400, 1917000, 1920600, 1924200, 1927800, 1931400,
    1935000, 1938600, 1942200, 1945800, 1949400, 1953000, 1956600, 1960200,
    1963800, 1967400, 1971000, 1974600, 1978200, 1981800, 1985400, 1989000,
    1992600, 1996200, 1999800, 2003400, 2007000, 2010600, 2014200, 2017800,
    2021400, 2025000, 2028600, 2032200, 2035800, 2039400, 2043000, 2046600,
    2050200, 2053800, 2057400, 2061000, 2064600, 2068200, 2071800, 2075400,
    2079000, 2082600, 2086200, 2089800, 2093400, 2097000, 2100600, 2104200,
    2107800, 2111400, 2115000, 2118600, 2122200, 2125800, 2129400, 2133000,
    2136600, 2140200, 2143800, 2147400, 2151000, 2154600, 2158200, 2161800,
    2165400, 2169000, 2172600, 2176200, 2179800, 2183400, 2187000, 2190600,
    2194200, 2197800, 2201400, 2205000, 2208600, 2212200, 2215800, 2219400,
    2223000, 2226600, 2230200, 2233800, 2237400, 2241000, 2244600, 2248200,
    2251800, 2255400, 2259000, 2262600, 2266200, 2269800, 2273400, 2277000,
    2280600, 2284200, 2287800, 2291400, 2295000, 2298600, 2302200, 2305800,
    2309400, 2313000, 2316600, 2320200, 2323800, 2327400, 2331000, 2334600,
    2338200, 2341800, 2345400, 2349000, 2352600, 2356200, 2359800, 2363400,
    2367000, 2370600, 2374200, 2377800, 2381400, 2385000, 2388600, 2392200,
    2395800, 2399400, 2403000, 2406600, 2410200, 2413800, 2417400, 2421000,
    2424600, 2428200, 2431800, 2435400, 2439000, 2442600, 2446200, 2449800,
    2453400, 2457000, 2460600, 2464200, 2467800, 2471400, 2475000, 2478600,
    2482200, 2485800, 2489400, 2493000, 2496600, 2500200, 2503800, 2507400,
    2511000, 2514600, 2518200, 2521800, 2525400, 2529000, 2532600, 2536200,
    2539800, 2543400, 2547000, 2550600, 2554200, 2557800, 2561400, 2565000,
    2568600, 2572200, 2575800, 2579400, 2583000, 2586600, 2590200, 2593800,
    2597400, 2601000, 2604600, 2608200, 2611800, 2615400, 2619000, 2622600,
    2626200, 2629800, 2633400, 2637000, 2640600, 2644200, 2647800, 2651400,
    2655000, 2658600, 2662200, 2665800, 2669400, 2673000, 2676600, 2680200,
    2683800, 2687400, 2691000, 2694600, 2698200, 2701800, 2705400, 2709000,
    2712600, 2716200, 2719800, 2723400, 2727000, 2730600, 2734200, 2737800,
    2741400, 2745000, 2748600, 2752200, 2755800, 2759400, 2763000, 2766600,
    2770200, 2773800, 2777400, 2781000, 2784600, 2788200, 2791800, 2795400,
    2799000, 2802600, 2806200, 2809800, 2813400, 2817000, 2820600, 2824200,
    2827800, 2831400, 2835000, 2838600, 2842200, 2845800, 2849400, 2853000,
    2856600, 2860200, 2863800, 2867400, 2871000, 2874600, 2878200, 2881800,
    2885400, 2889000, 2892600, 2896200, 2899800, 2903400, 2907000, 2910600,
    2914200, 2917800, 2921400, 2925000, 2928600, 2932200, 2935800, 2939400,
    2943000, 2946600, 2950200, 2953800, 2957400, 2961000, 2964600, 2968200,
    2971800, 2975400, 2979000, 2982600, 2986200, 2989800, 2993400, 2997000,
    3000600, 3004200, 3007800, 3011400, 3015000, 3018600, 3022200, 3025800,
    3029400, 3033000, 3036600, 3040200, 3043800, 3047400, 3051000, 3054600,
    3058200, 3061800, 3065400, 3069000, 3072600, 3076200, 3079800, 3083400,
    3087000, 3090600, 3094200, 3097800, 3101400, 3105000, 3108600, 3112200,
    3115800, 3119400, 3123000, 3126600, 3130200, 3133800, 3137400, 3141000,
    3144600, 3148200, 3151800, 3155400, 3159000, 3162600, 3166200, 3169800,
    3173400, 3177000, 3180600, 3184200, 3187800, 3191400, 3195000, 3198600,
    3202200, 3205800, 3209400, 3213000, 3216600, 3220200, 3223800, 3227400,
    3231000, 3234600, 3238200, 3241800, 3245400, 3249000, 3252600, 3256200,
    3259800, 3263400, 3267000, 3270600, 3274200, 3277800, 3281400, 3285000,
    3288600, 3292200, 3295800, 3299400, 3303000, 3306600, 3310200, 3313800,
    3317400, 3321000, 3324600, 3328200, 3331800, 3335400, 3339000, 3342600,
    3346200, 3349800, 3353400, 3357000, 3360600, 3364200, 3367800, 3371400,
    3375000, 3378600, 3382200, 3385800, 3389400, 3393000, 3396600, 3400200,
    3403800, 3407400, 3411000, 3414600, 3418200, 3421800, 3425400, 3429000,
    3432600, 3436200, 3439800, 3443400, 3447000, 3450600, 3454200, 3457800,
    3461400, 3465000, 3468600, 3472200, 3475800, 3479400, 3483000, 3486600,
    3490200, 3493800, 3497400, 3501000, 3504600, 3508200, 3511800, 3515400,
    3519000, 3522600, 3526200, 3529800, 3533400, 3537000, 3540600, 3544200,
    3547800, 3551400, 3555000, 3558600, 3562200, 3565800, 3569400, 3573000,
    3576600, 3580200, 3583800, 3587400, 3591000, 3594600, 3598200, 3601800,
    3605400, 3609000, 3612600, 3616200, 3619800, 3623400, 3627000, 3630600,
    3634200, 3637800, 3641400, 3645000, 3648600, 3652200, 3655800, 3659400,
    3663000, 3666600, 3670200, 3673800, 3677400, 3681000, 3684600, 3688200,
    3691800, 3695400, 3699000, 3702600, 3706200, 3709800, 3713400, 3717000,
    3720600, 3724200, 3727800, 3731400, 3735000, 3738600, 3742200, 3745800,
    3749400, 3753000, 3756600, 3760200, 3763800, 3767400, 3771000, 3774600,
    3778200, 3781800, 3785400, 3789000, 3792600, 3796200, 3799800, 3803400,
    3807000, 3810600, 3814200, 3817800, 3821400, 3825000, 3828600, 3832200,
    3835800, 3839400, 3843000, 3846600, 3850200, 3853800, 3857400, 3861000,
    3864600, 3868200, 3871800, 3875400, 3879000, 3882600, 3886200, 3889800,
    3893400, 3897000, 3900600, 3904200, 3907800, 3911400, 3915000, 3918600,
    3922200, 3925800, 3929400, 3933000, 3936600, 3940200, 3943800, 3947400,
    3951000, 3954600, 3958200, 3961800, 3965400, 3969000, 3972600, 3976200,
    3979800, 3983400, 3987000, 3990600, 3994200, 3997800, 4001400, 4005000,
    4008600, 4012200, 4015800, 4019400, 4023000, 4026600, 4030200, 4033800,
    4037400, 4041000, 4044600, 4048200, 4051800, 4055400, 4059000, 4062600,
    4066200, 4069800, 4073400, 4077000, 4080600, 4084200, 4087800, 4091400,
    4095000, 4098600, 4102200, 4105800, 4109400, 4113000, 4116600, 4120200,
    4123800, 4127400, 4131000, 4134600, 4138200, 4141800, 4145400, 4149000,
    4152600, 4156200, 4159800, 4163400, 4167000, 4170600, 4174200, 4177800,
    4181400, 4185000, 4188600, 4192200, 4195800, 4199400, 4203000, 4206600,
    4210200, 4213800, 4217400, 4221000, 4224600, 4228200, 4231800, 4235400,
    4239000, 4242600, 4246200, 4249800, 4253400, 4257000, 4260600, 4264200,
    4267800, 4271400, 4275000, 4278600, 4282200, 4285800, 4289400, 4293000,
    4296600, 4300200, 4303800, 4307400, 4311000, 4314600, 4318200, 4321800,
    4325400, 4329000, 4332600, 4336200, 4339800, 4343400, 4347000, 4350600,
    4354200, 4357800, 4361400, 4365000, 4368600, 4372200, 4375800, 4379400,
    4383000, 4386600, 4390200, 4393800, 4397400, 4401000, 4404600, 4408200,
    4411800, 4415400, 4419000, 4422600, 4426200, 4429800, 4433400, 4437000,
    4440600, 4444200, 4447800, 4451400, 4455000, 4458600, 4462200, 4465800,
    4469400, 4473000, 4476600, 4480200, 4483800, 4487400, 4491000, 4494600,
    4498200, 4501800, 4505400, 4509000, 4512600, 4516200, 4519800, 4523400,
    4527000, 4530600, 4534200, 4537800, 4541400, 4545000, 4548600, 4552200,
    4555800, 4559400, 4563000, 4566600, 4570200, 4573800, 4577400, 4581000,
    4584600, 4588200, 4591800, 4595400, 4599000, 4602600, 4606200, 4609800,
    4613400, 4617000, 4620600, 4624200, 4627800, 4631400, 4635000, 4638600,
    4642200, 4645800, 4649400, 4653000, 4656600, 4660200, 4663800, 4667400,
    4671000, 4674600, 4678200, 4681800, 4685400, 4689000, 4692600, 4696200,
    4699800, 4703400, 4707000, 4710600, 4714200, 4717800, 4721400, 4725000,
    4728600, 4732200, 4735800, 4739400, 4743000, 4746600, 4750200, 4753800,
    4757400, 4761000, 4764600, 4768200, 4771800, 4775400, 4779000, 4782600,
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    31519800, 31523400, 31527000, 31530600, 31534200, 31537800 ;
}
