Spatiotemporal slip distribution of the March 16, 2022, M7.4 Off Fukushima Prefecture earthquake 

The spatiotemporal slip distribution of the March 16, 2022, Off Fukushima Prefecture earthquake was estimated by waveform inversion with empirical Green's functions. Ground motion records of the March 19 0:58 aftershock (MJ=5.0) and the March 27 22:54 aftershock (MJ=4.7) were used as empirical Green's functions. Conventional least-squares linear waveform inversion (Hartzell and Heaton, 1983) was adopted. A 40 km by 20 km fault plane including the JMA hypocenter (141.622E, 37.697N, depth=57 km) was assumed with strike and dip angles of 15 and 42 degrees, respectively. The first-time-window triggering front was assumed to start from the JMA hypocenter and to propagate radially at a constant velocity of 2.0 km/s. At each subfault, the moment rate function after passage of the rupture front was expressed as a convolution of an impulse train with the moment rate function of the aftershock (Nozu, 2007). The impulse train spanned for 3.0 seconds and consisted of 12 impulses at equal time intervals of 0.25 seconds. Thus the height of each impulse corresponds to the ratio of the moment release during each 0.25 second at each subfault with respect to the moment of the aftershock. The ratio was determined through the inversion. Conventional corrections for the geometrical spreading and time shifts (Irikura, 1983) were applied to the empirical Green's functions to represent arrivals from different subfaults. The shear wave velocity in the source region was assumed to be 4.46 km/s. Absolute time information for both the mainshock and the aftershock recordings was used. 

The moment release at each subfault at each time window relative to the aftershock moment determined by the inversion is listed below. For j=1-8, the moment is relative to the moment of the March 19 0:58 aftershock (MJ=5.0). For j=9-10, the moment is relative to the moment of the March 27 22:54 aftershock (MJ=4.7).


i denotes the location of the subfault along strike (from south to north).
j denotes the location of the subfault along dip (from bottom to top).
k denotes the time window.

    i    j    k    moment
------------------------- 
    1    1    1      0.97
    1    1    2      0.00
    1    1    3      0.72
    1    1    4      2.29
    1    1    5      3.54
    1    1    6      3.65
    1    1    7      2.37
    1    1    8      2.79
    1    1    9      1.83
    1    1   10      1.36
    1    1   11      0.16
    1    1   12      0.00
    1    2    1      2.39
    1    2    2      3.40
    1    2    3      3.33
    1    2    4      2.69
    1    2    5      3.90
    1    2    6      3.90
    1    2    7      2.05
    1    2    8      2.10
    1    2    9      3.29
    1    2   10      4.55
    1    2   11      3.34
    1    2   12      0.51
    1    3    1      2.08
    1    3    2      0.29
    1    3    3      0.62
    1    3    4      1.97
    1    3    5      1.87
    1    3    6      2.89
    1    3    7      3.93
    1    3    8      3.65
    1    3    9      3.99
    1    3   10      5.20
    1    3   11      3.61
    1    3   12      0.33
    1    4    1      0.25
    1    4    2      1.09
    1    4    3      1.54
    1    4    4      1.83
    1    4    5      2.42
    1    4    6      1.65
    1    4    7      0.57
    1    4    8      1.77
    1    4    9      2.40
    1    4   10      2.72
    1    4   11      3.29
    1    4   12      1.79
    1    5    1      0.08
    1    5    2      1.08
    1    5    3      1.60
    1    5    4      1.63
    1    5    5      2.98
    1    5    6      2.86
    1    5    7      1.72
    1    5    8      1.47
    1    5    9      0.93
    1    5   10      0.00
    1    5   11      0.00
    1    5   12      1.02
    1    6    1      0.19
    1    6    2      0.61
    1    6    3      1.04
    1    6    4      2.04
    1    6    5      2.61
    1    6    6      3.34
    1    6    7      3.12
    1    6    8      1.40
    1    6    9      0.40
    1    6   10      0.00
    1    6   11      0.00
    1    6   12      0.00
    1    7    1      0.95
    1    7    2      0.52
    1    7    3      0.84
    1    7    4      1.67
    1    7    5      2.71
    1    7    6      3.66
    1    7    7      2.84
    1    7    8      1.03
    1    7    9      0.31
    1    7   10      0.00
    1    7   11      0.00
    1    7   12      0.00
    1    8    1      1.18
    1    8    2      0.00
    1    8    3      0.87
    1    8    4      2.07
    1    8    5      2.60
    1    8    6      2.17
    1    8    7      2.10
    1    8    8      0.80
    1    8    9      0.40
    1    8   10      0.00
    1    8   11      0.00
    1    8   12      0.64
    1    9    1      1.04
    1    9    2      0.00
    1    9    3      2.55
    1    9    4      5.92
    1    9    5      2.20
    1    9    6      5.34
    1    9    7      4.67
    1    9    8      1.20
    1    9    9      0.00
    1    9   10      6.24
    1    9   11      7.65
    1    9   12      4.45
    1   10    1      2.51
    1   10    2      4.73
    1   10    3      0.00
    1   10    4      2.20
    1   10    5      2.37
    1   10    6      3.76
    1   10    7      0.00
    1   10    8      0.38
    1   10    9      0.39
    1   10   10     18.51
    1   10   11     21.59
    1   10   12     13.79
    2    1    1      0.00
    2    1    2      1.44
    2    1    3      2.36
    2    1    4      2.64
    2    1    5      3.37
    2    1    6      4.01
    2    1    7      3.83
    2    1    8      5.09
    2    1    9      4.25
    2    1   10      2.87
    2    1   11      1.62
    2    1   12      0.00
    2    2    1      0.00
    2    2    2      3.70
    2    2    3      6.05
    2    2    4      5.86
    2    2    5      6.32
    2    2    6      5.36
    2    2    7      4.31
    2    2    8      5.88
    2    2    9      5.55
    2    2   10      4.70
    2    2   11      3.70
    2    2   12      0.66
    2    3    1      0.94
    2    3    2      2.30
    2    3    3      3.47
    2    3    4      3.56
    2    3    5      2.91
    2    3    6      1.81
    2    3    7      3.53
    2    3    8      6.86
    2    3    9      8.23
    2    3   10      7.04
    2    3   11      5.17
    2    3   12      0.85
    2    4    1      0.48
    2    4    2      0.65
    2    4    3      2.04
    2    4    4      3.48
    2    4    5      3.63
    2    4    6      3.00
    2    4    7      3.33
    2    4    8      4.40
    2    4    9      4.34
    2    4   10      2.85
    2    4   11      1.12
    2    4   12      0.00
    2    5    1      1.03
    2    5    2      1.24
    2    5    3      2.23
    2    5    4      3.37
    2    5    5      3.93
    2    5    6      3.45
    2    5    7      2.76
    2    5    8      3.06
    2    5    9      2.34
    2    5   10      1.76
    2    5   11      1.16
    2    5   12      0.82
    2    6    1      0.00
    2    6    2      0.09
    2    6    3      1.93
    2    6    4      3.47
    2    6    5      4.11
    2    6    6      3.80
    2    6    7      3.25
    2    6    8      1.77
    2    6    9      1.47
    2    6   10      1.74
    2    6   11      1.86
    2    6   12      1.11
    2    7    1      0.00
    2    7    2      0.46
    2    7    3      2.39
    2    7    4      3.25
    2    7    5      3.97
    2    7    6      4.28
    2    7    7      2.72
    2    7    8      1.54
    2    7    9      2.13
    2    7   10      2.25
    2    7   11      1.20
    2    7   12      0.12
    2    8    1      0.93
    2    8    2      1.28
    2    8    3      2.52
    2    8    4      3.60
    2    8    5      2.30
    2    8    6      1.76
    2    8    7      3.40
    2    8    8      3.37
    2    8    9      1.93
    2    8   10      0.67
    2    8   11      0.08
    2    8   12      0.00
    2    9    1      1.06
    2    9    2      1.03
    2    9    3      2.69
    2    9    4      3.71
    2    9    5      7.27
    2    9    6      6.51
    2    9    7     10.41
    2    9    8      9.78
    2    9    9      2.85
    2    9   10      0.00
    2    9   11      1.86
    2    9   12      0.58
    2   10    1      0.00
    2   10    2      0.00
    2   10    3      2.62
    2   10    4      3.25
    2   10    5      7.63
    2   10    6      8.33
    2   10    7      0.00
    2   10    8      0.00
    2   10    9      0.00
    2   10   10      8.96
    2   10   11     12.71
    2   10   12      5.17
    3    1    1      2.30
    3    1    2      2.41
    3    1    3      2.01
    3    1    4      3.17
    3    1    5      3.51
    3    1    6      2.54
    3    1    7      3.69
    3    1    8      5.68
    3    1    9      4.92
    3    1   10      4.10
    3    1   11      1.20
    3    1   12      0.22
    3    2    1      0.00
    3    2    2      3.24
    3    2    3      6.53
    3    2    4      5.71
    3    2    5      5.98
    3    2    6      6.96
    3    2    7      6.46
    3    2    8      6.12
    3    2    9      5.78
    3    2   10      5.79
    3    2   11      3.20
    3    2   12      0.19
    3    3    1      1.97
    3    3    2      2.84
    3    3    3      3.50
    3    3    4      3.61
    3    3    5      3.89
    3    3    6      2.93
    3    3    7      3.59
    3    3    8      6.70
    3    3    9      8.85
    3    3   10      6.43
    3    3   11      6.36
    3    3   12      3.68
    3    4    1      0.12
    3    4    2      2.18
    3    4    3      0.93
    3    4    4      1.90
    3    4    5      3.77
    3    4    6      4.83
    3    4    7      4.45
    3    4    8      4.75
    3    4    9      4.55
    3    4   10      3.57
    3    4   11      2.03
    3    4   12      0.27
    3    5    1      0.98
    3    5    2      1.92
    3    5    3      2.03
    3    5    4      2.15
    3    5    5      3.56
    3    5    6      3.55
    3    5    7      4.02
    3    5    8      2.92
    3    5    9      1.48
    3    5   10      1.71
    3    5   11      2.42
    3    5   12      1.60
    3    6    1      0.84
    3    6    2      1.38
    3    6    3      2.31
    3    6    4      2.71
    3    6    5      2.82
    3    6    6      3.49
    3    6    7      2.75
    3    6    8      2.35
    3    6    9      2.21
    3    6   10      1.46
    3    6   11      1.39
    3    6   12      1.41
    3    7    1      2.18
    3    7    2      0.71
    3    7    3      2.11
    3    7    4      2.41
    3    7    5      3.27
    3    7    6      3.84
    3    7    7      2.77
    3    7    8      1.36
    3    7    9      2.26
    3    7   10      2.46
    3    7   11      2.04
    3    7   12      1.15
    3    8    1      0.00
    3    8    2      1.36
    3    8    3      2.93
    3    8    4      3.53
    3    8    5      2.78
    3    8    6      2.21
    3    8    7      2.53
    3    8    8      2.64
    3    8    9      2.81
    3    8   10      1.74
    3    8   11      0.87
    3    8   12      0.06
    3    9    1      0.00
    3    9    2      6.57
    3    9    3      5.83
    3    9    4      3.39
    3    9    5     10.54
    3    9    6     12.43
    3    9    7     10.43
    3    9    8      6.69
    3    9    9      2.60
    3    9   10      0.00
    3    9   11      7.71
    3    9   12      0.11
    3   10    1      0.00
    3   10    2      1.83
    3   10    3      5.54
    3   10    4      7.60
    3   10    5     10.99
    3   10    6      9.24
    3   10    7      0.15
    3   10    8      0.00
    3   10    9      0.51
    3   10   10      2.49
    3   10   11      9.22
    3   10   12      5.46
    4    1    1      4.52
    4    1    2      2.39
    4    1    3      1.91
    4    1    4      3.23
    4    1    5      2.32
    4    1    6      1.53
    4    1    7      2.57
    4    1    8      5.09
    4    1    9      4.41
    4    1   10      2.45
    4    1   11      0.46
    4    1   12      0.00
    4    2    1      1.66
    4    2    2      5.32
    4    2    3      4.90
    4    2    4      5.07
    4    2    5      4.97
    4    2    6      6.30
    4    2    7      6.41
    4    2    8      5.35
    4    2    9      5.16
    4    2   10      4.67
    4    2   11      1.66
    4    2   12      0.00
    4    3    1      2.39
    4    3    2      3.43
    4    3    3      2.90
    4    3    4      3.17
    4    3    5      3.53
    4    3    6      3.42
    4    3    7      5.80
    4    3    8      6.98
    4    3    9      6.71
    4    3   10      5.71
    4    3   11      5.09
    4    3   12      4.00
    4    4    1      0.40
    4    4    2      1.78
    4    4    3      0.77
    4    4    4      2.16
    4    4    5      3.16
    4    4    6      4.39
    4    4    7      4.86
    4    4    8      4.59
    4    4    9      4.37
    4    4   10      3.73
    4    4   11      1.61
    4    4   12      0.92
    4    5    1      3.37
    4    5    2      1.61
    4    5    3      1.42
    4    5    4      2.22
    4    5    5      2.03
    4    5    6      3.34
    4    5    7      2.65
    4    5    8      2.65
    4    5    9      2.92
    4    5   10      2.92
    4    5   11      2.33
    4    5   12      1.30
    4    6    1      3.07
    4    6    2      2.85
    4    6    3      1.41
    4    6    4      1.21
    4    6    5      2.35
    4    6    6      2.03
    4    6    7      2.16
    4    6    8      2.10
    4    6    9      1.55
    4    6   10      2.63
    4    6   11      2.73
    4    6   12      1.36
    4    7    1      4.99
    4    7    2      1.18
    4    7    3      1.64
    4    7    4      1.75
    4    7    5      1.86
    4    7    6      1.97
    4    7    7      1.91
    4    7    8      0.88
    4    7    9      2.64
    4    7   10      3.08
    4    7   11      2.14
    4    7   12      1.58
    4    8    1      2.49
    4    8    2      2.30
    4    8    3      2.81
    4    8    4      2.20
    4    8    5      2.12
    4    8    6      1.12
    4    8    7      2.60
    4    8    8      1.92
    4    8    9      1.73
    4    8   10      2.49
    4    8   11      2.05
    4    8   12      0.00
    4    9    1      2.11
    4    9    2     11.04
    4    9    3     12.93
    4    9    4      6.58
    4    9    5      7.80
    4    9    6     15.94
    4    9    7     11.32
    4    9    8      0.00
    4    9    9      0.00
    4    9   10      2.22
    4    9   11     11.36
    4    9   12     12.87
    4   10    1      0.00
    4   10    2      0.95
    4   10    3     11.63
    4   10    4     17.25
    4   10    5      8.96
    4   10    6      3.55
    4   10    7      0.79
    4   10    8      0.00
    4   10    9      8.65
    4   10   10      1.39
    4   10   11      3.56
    4   10   12      5.22
    5    1    1      2.34
    5    1    2      2.24
    5    1    3      1.99
    5    1    4      2.12
    5    1    5      0.84
    5    1    6      0.89
    5    1    7      2.12
    5    1    8      4.03
    5    1    9      1.99
    5    1   10      0.00
    5    1   11      0.00
    5    1   12      0.00
    5    2    1      3.15
    5    2    2      4.54
    5    2    3      3.34
    5    2    4      4.28
    5    2    5      3.93
    5    2    6      4.23
    5    2    7      4.56
    5    2    8      4.37
    5    2    9      3.85
    5    2   10      2.20
    5    2   11      0.49
    5    2   12      0.00
    5    3    1      2.46
    5    3    2      2.99
    5    3    3      1.96
    5    3    4      2.97
    5    3    5      4.89
    5    3    6      5.30
    5    3    7      5.89
    5    3    8      5.49
    5    3    9      5.93
    5    3   10      4.87
    5    3   11      3.40
    5    3   12      1.82
    5    4    1      2.31
    5    4    2      1.29
    5    4    3      0.86
    5    4    4      2.24
    5    4    5      3.44
    5    4    6      4.21
    5    4    7      5.04
    5    4    8      4.23
    5    4    9      5.06
    5    4   10      4.86
    5    4   11      3.34
    5    4   12      1.39
    5    5    1      3.57
    5    5    2      1.28
    5    5    3      0.15
    5    5    4      1.07
    5    5    5      1.70
    5    5    6      2.66
    5    5    7      3.79
    5    5    8      4.23
    5    5    9      3.61
    5    5   10      3.77
    5    5   11      2.38
    5    5   12      0.62
    5    6    1      2.67
    5    6    2      2.00
    5    6    3      0.75
    5    6    4      0.18
    5    6    5      0.25
    5    6    6      1.06
    5    6    7      2.55
    5    6    8      3.74
    5    6    9      3.86
    5    6   10      2.85
    5    6   11      1.71
    5    6   12      1.95
    5    7    1      2.85
    5    7    2      1.70
    5    7    3      0.84
    5    7    4      0.50
    5    7    5      0.00
    5    7    6      0.70
    5    7    7      1.87
    5    7    8      3.40
    5    7    9      3.84
    5    7   10      2.66
    5    7   11      1.61
    5    7   12      2.08
    5    8    1      1.24
    5    8    2      2.71
    5    8    3      1.71
    5    8    4      0.69
    5    8    5      0.65
    5    8    6      1.40
    5    8    7      1.75
    5    8    8      2.80
    5    8    9      2.68
    5    8   10      2.55
    5    8   11      2.31
    5    8   12      0.56
    5    9    1     10.46
    5    9    2     12.62
    5    9    3     13.89
    5    9    4      9.07
    5    9    5      8.17
    5    9    6     11.47
    5    9    7      3.28
    5    9    8      0.00
    5    9    9     11.22
    5    9   10     14.61
    5    9   11     11.55
    5    9   12      7.96
    5   10    1      0.23
    5   10    2      7.22
    5   10    3     17.56
    5   10    4     17.42
    5   10    5      2.84
    5   10    6      0.00
    5   10    7      5.17
    5   10    8      9.45
    5   10    9     10.93
    5   10   10      3.73
    5   10   11      0.00
    5   10   12      0.00
    6    1    1      2.05
    6    1    2      2.34
    6    1    3      1.27
    6    1    4      0.30
    6    1    5      0.18
    6    1    6      0.94
    6    1    7      1.77
    6    1    8      1.85
    6    1    9      0.00
    6    1   10      2.44
    6    1   11      2.40
    6    1   12      1.95
    6    2    1      4.69
    6    2    2      3.39
    6    2    3      2.19
    6    2    4      2.29
    6    2    5      2.13
    6    2    6      2.97
    6    2    7      3.74
    6    2    8      2.89
    6    2    9      1.72
    6    2   10      1.97
    6    2   11      1.81
    6    2   12      1.66
    6    3    1      1.70
    6    3    2      3.44
    6    3    3      4.14
    6    3    4      4.13
    6    3    5      4.61
    6    3    6      5.26
    6    3    7      4.78
    6    3    8      4.26
    6    3    9      4.18
    6    3   10      2.83
    6    3   11      2.76
    6    3   12      1.45
    6    4    1      0.00
    6    4    2      1.96
    6    4    3      3.98
    6    4    4      3.60
    6    4    5      3.87
    6    4    6      5.62
    6    4    7      5.70
    6    4    8      5.69
    6    4    9      5.25
    6    4   10      4.84
    6    4   11      2.68
    6    4   12      1.66
    6    5    1      1.56
    6    5    2      1.99
    6    5    3      2.15
    6    5    4      1.61
    6    5    5      2.98
    6    5    6      4.80
    6    5    7      4.99
    6    5    8      5.29
    6    5    9      5.64
    6    5   10      4.97
    6    5   11      3.66
    6    5   12      1.85
    6    6    1      0.00
    6    6    2      0.73
    6    6    3      1.26
    6    6    4      1.75
    6    6    5      1.90
    6    6    6      2.28
    6    6    7      4.02
    6    6    8      5.75
    6    6    9      4.94
    6    6   10      4.25
    6    6   11      3.75
    6    6   12      2.17
    6    7    1      0.00
    6    7    2      0.00
    6    7    3      0.51
    6    7    4      1.31
    6    7    5      1.55
    6    7    6      1.36
    6    7    7      3.18
    6    7    8      5.89
    6    7    9      5.28
    6    7   10      3.76
    6    7   11      3.73
    6    7   12      2.38
    6    8    1      0.49
    6    8    2      0.84
    6    8    3      0.92
    6    8    4      1.22
    6    8    5      0.85
    6    8    6      0.48
    6    8    7      3.62
    6    8    8      5.62
    6    8    9      4.60
    6    8   10      3.86
    6    8   11      4.01
    6    8   12      1.84
    6    9    1      8.13
    6    9    2     17.25
    6    9    3     11.53
    6    9    4      1.30
    6    9    5      0.00
    6    9    6      1.16
    6    9    7      8.69
    6    9    8     20.45
    6    9    9     19.80
    6    9   10     11.66
    6    9   11     14.28
    6    9   12      9.69
    6   10    1     10.21
    6   10    2     12.99
    6   10    3      6.54
    6   10    4      0.63
    6   10    5      0.00
    6   10    6      6.50
    6   10    7     12.41
    6   10    8     11.10
    6   10    9      5.86
    6   10   10      8.24
    6   10   11      8.01
    6   10   12      5.47
    7    1    1      2.98
    7    1    2      1.08
    7    1    3      0.22
    7    1    4      0.00
    7    1    5      0.44
    7    1    6      0.75
    7    1    7      2.32
    7    1    8      4.09
    7    1    9      3.64
    7    1   10      0.00
    7    1   11      0.00
    7    1   12      1.21
    7    2    1      4.69
    7    2    2      1.49
    7    2    3      1.01
    7    2    4      1.15
    7    2    5      2.02
    7    2    6      2.12
    7    2    7      2.85
    7    2    8      3.19
    7    2    9      2.72
    7    2   10      1.33
    7    2   11      0.57
    7    2   12      1.74
    7    3    1      4.00
    7    3    2      3.99
    7    3    3      3.57
    7    3    4      2.75
    7    3    5      3.39
    7    3    6      3.13
    7    3    7      3.39
    7    3    8      3.45
    7    3    9      3.45
    7    3   10      2.18
    7    3   11      1.65
    7    3   12      0.87
    7    4    1      2.63
    7    4    2      4.03
    7    4    3      4.89
    7    4    4      5.20
    7    4    5      5.24
    7    4    6      5.20
    7    4    7      4.39
    7    4    8      4.25
    7    4    9      3.73
    7    4   10      3.07
    7    4   11      1.86
    7    4   12      1.31
    7    5    1      0.60
    7    5    2      3.59
    7    5    3      4.93
    7    5    4      5.38
    7    5    5      5.79
    7    5    6      6.13
    7    5    7      6.11
    7    5    8      5.67
    7    5    9      4.83
    7    5   10      3.47
    7    5   11      2.00
    7    5   12      1.57
    7    6    1      0.00
    7    6    2      0.88
    7    6    3      4.01
    7    6    4      5.22
    7    6    5      5.31
    7    6    6      5.78
    7    6    7      6.41
    7    6    8      6.62
    7    6    9      6.17
    7    6   10      4.36
    7    6   11      2.95
    7    6   12      0.54
    7    7    1      0.15
    7    7    2      0.04
    7    7    3      3.20
    7    7    4      4.71
    7    7    5      4.59
    7    7    6      5.26
    7    7    7      6.61
    7    7    8      6.99
    7    7    9      7.17
    7    7   10      5.22
    7    7   11      3.81
    7    7   12      1.48
    7    8    1      0.34
    7    8    2      0.24
    7    8    3      2.95
    7    8    4      3.35
    7    8    5      3.59
    7    8    6      5.06
    7    8    7      6.47
    7    8    8      6.97
    7    8    9      7.26
    7    8   10      5.71
    7    8   11      4.55
    7    8   12      1.73
    7    9    1      8.78
    7    9    2      1.72
    7    9    3      1.96
    7    9    4      2.01
    7    9    5      9.42
    7    9    6     20.93
    7    9    7     22.76
    7    9    8     24.49
    7    9    9     25.97
    7    9   10     20.82
    7    9   11     18.79
    7    9   12     12.22
    7   10    1      5.92
    7   10    2      3.16
    7   10    3      0.00
    7   10    4      4.73
    7   10    5     11.96
    7   10    6     13.49
    7   10    7     15.76
    7   10    8     13.39
    7   10    9      9.98
    7   10   10     15.38
    7   10   11     13.70
    7   10   12      9.99
    8    1    1      1.40
    8    1    2      0.00
    8    1    3      0.85
    8    1    4      3.56
    8    1    5      3.88
    8    1    6      1.82
    8    1    7      0.00
    8    1    8      0.92
    8    1    9      3.83
    8    1   10      2.37
    8    1   11      2.24
    8    1   12      2.75
    8    2    1      1.18
    8    2    2      1.01
    8    2    3      2.11
    8    2    4      2.38
    8    2    5      2.49
    8    2    6      1.74
    8    2    7      1.93
    8    2    8      5.23
    8    2    9      5.36
    8    2   10      3.69
    8    2   11      0.80
    8    2   12      0.00
    8    3    1      0.96
    8    3    2      2.66
    8    3    3      2.23
    8    3    4      1.60
    8    3    5      2.11
    8    3    6      2.82
    8    3    7      3.86
    8    3    8      3.81
    8    3    9      3.84
    8    3   10      1.96
    8    3   11      2.72
    8    3   12      3.01
    8    4    1      3.25
    8    4    2      4.02
    8    4    3      4.27
    8    4    4      2.97
    8    4    5      3.66
    8    4    6      3.10
    8    4    7      3.12
    8    4    8      3.22
    8    4    9      3.65
    8    4   10      3.62
    8    4   11      2.57
    8    4   12      2.17
    8    5    1      4.43
    8    5    2      5.77
    8    5    3      6.02
    8    5    4      5.33
    8    5    5      5.05
    8    5    6      3.85
    8    5    7      3.87
    8    5    8      3.63
    8    5    9      3.37
    8    5   10      2.97
    8    5   11      2.61
    8    5   12      1.93
    8    6    1      4.64
    8    6    2      6.37
    8    6    3      7.51
    8    6    4      7.71
    8    6    5      6.16
    8    6    6      4.98
    8    6    7      4.21
    8    6    8      3.68
    8    6    9      3.73
    8    6   10      3.56
    8    6   11      2.81
    8    6   12      1.11
    8    7    1      0.00
    8    7    2      6.18
    8    7    3      8.48
    8    7    4      9.06
    8    7    5      7.76
    8    7    6      5.58
    8    7    7      4.53
    8    7    8      4.13
    8    7    9      3.89
    8    7   10      3.98
    8    7   11      4.24
    8    7   12      2.27
    8    8    1      0.00
    8    8    2      5.67
    8    8    3      8.48
    8    8    4      9.11
    8    8    5      8.24
    8    8    6      6.05
    8    8    7      4.84
    8    8    8      4.57
    8    8    9      3.92
    8    8   10      4.41
    8    8   11      5.23
    8    8   12      3.12
    8    9    1      0.00
    8    9    2     12.28
    8    9    3     25.56
    8    9    4     32.88
    8    9    5     30.20
    8    9    6     22.26
    8    9    7     25.06
    8    9    8     21.41
    8    9    9     13.54
    8    9   10     18.45
    8    9   11     16.99
    8    9   12     12.66
    8   10    1      0.00
    8   10    2      9.54
    8   10    3     20.57
    8   10    4     21.03
    8   10    5     17.76
    8   10    6     17.75
    8   10    7     17.33
    8   10    8      8.59
    8   10    9      9.38
    8   10   10     11.99
    8   10   11     11.98
    8   10   12      4.65
    9    1    1      2.77
    9    1    2      1.97
    9    1    3      0.59
    9    1    4      0.49
    9    1    5      3.10
    9    1    6      1.56
    9    1    7      1.70
    9    1    8      2.62
    9    1    9      2.38
    9    1   10      2.92
    9    1   11      1.59
    9    1   12      0.43
    9    2    1      1.74
    9    2    2      0.57
    9    2    3      2.17
    9    2    4      4.63
    9    2    5      4.69
    9    2    6      3.88
    9    2    7      2.15
    9    2    8      3.21
    9    2    9      3.88
    9    2   10      2.70
    9    2   11      2.78
    9    2   12      1.15
    9    3    1      0.00
    9    3    2      1.10
    9    3    3      2.27
    9    3    4      3.17
    9    3    5      2.64
    9    3    6      3.11
    9    3    7      5.72
    9    3    8      6.17
    9    3    9      5.58
    9    3   10      2.88
    9    3   11      1.95
    9    3   12      1.59
    9    4    1      0.93
    9    4    2      1.92
    9    4    3      1.74
    9    4    4      2.07
    9    4    5      2.79
    9    4    6      3.85
    9    4    7      4.90
    9    4    8      4.09
    9    4    9      4.42
    9    4   10      5.39
    9    4   11      5.03
    9    4   12      3.43
    9    5    1      2.12
    9    5    2      3.60
    9    5    3      3.38
    9    5    4      3.52
    9    5    5      2.81
    9    5    6      3.19
    9    5    7      4.02
    9    5    8      4.47
    9    5    9      4.82
    9    5   10      3.61
    9    5   11      2.89
    9    5   12      2.55
    9    6    1      2.87
    9    6    2      3.70
    9    6    3      4.61
    9    6    4      5.09
    9    6    5      4.45
    9    6    6      3.70
    9    6    7      2.70
    9    6    8      4.01
    9    6    9      4.32
    9    6   10      4.32
    9    6   11      3.07
    9    6   12      0.77
    9    7    1      3.86
    9    7    2      4.54
    9    7    3      5.01
    9    7    4      5.97
    9    7    5      6.14
    9    7    6      4.79
    9    7    7      3.15
    9    7    8      2.91
    9    7    9      4.34
    9    7   10      4.17
    9    7   11      3.95
    9    7   12      2.11
    9    8    1      6.95
    9    8    2      6.57
    9    8    3      6.40
    9    8    4      6.54
    9    8    5      7.00
    9    8    6      5.34
    9    8    7      3.26
    9    8    8      2.81
    9    8    9      3.59
    9    8   10      3.84
    9    8   11      4.00
    9    8   12      3.21
    9    9    1     25.75
    9    9    2     33.60
    9    9    3     34.10
    9    9    4     32.51
    9    9    5     28.00
    9    9    6     19.59
    9    9    7     15.99
    9    9    8     10.08
    9    9    9      5.17
    9    9   10      8.78
    9    9   11     14.85
    9    9   12     16.30
    9   10    1     23.06
    9   10    2     22.92
    9   10    3     25.49
    9   10    4     25.27
    9   10    5     16.16
    9   10    6     13.02
    9   10    7     11.53
    9   10    8      4.17
    9   10    9      0.02
    9   10   10      6.27
    9   10   11     15.58
    9   10   12     19.66
   10    1    1      1.40
   10    1    2      0.91
   10    1    3      1.79
   10    1    4      1.16
   10    1    5      1.75
   10    1    6      1.79
   10    1    7      0.99
   10    1    8      1.45
   10    1    9      4.16
   10    1   10      5.47
   10    1   11      1.38
   10    1   12      0.00
   10    2    1      4.40
   10    2    2      1.80
   10    2    3      2.21
   10    2    4      3.45
   10    2    5      2.46
   10    2    6      3.05
   10    2    7      2.91
   10    2    8      3.12
   10    2    9      4.52
   10    2   10      4.02
   10    2   11      2.10
   10    2   12      0.00
   10    3    1      1.06
   10    3    2      2.62
   10    3    3      4.88
   10    3    4      5.68
   10    3    5      3.97
   10    3    6      3.67
   10    3    7      4.68
   10    3    8      4.06
   10    3    9      4.29
   10    3   10      3.63
   10    3   11      2.08
   10    3   12      0.84
   10    4    1      0.00
   10    4    2      1.59
   10    4    3      2.57
   10    4    4      3.49
   10    4    5      4.95
   10    4    6      6.88
   10    4    7      7.30
   10    4    8      5.35
   10    4    9      4.32
   10    4   10      3.22
   10    4   11      2.03
   10    4   12      0.43
   10    5    1      0.47
   10    5    2      1.72
   10    5    3      1.50
   10    5    4      2.58
   10    5    5      3.57
   10    5    6      5.10
   10    5    7      6.39
   10    5    8      7.56
   10    5    9      7.08
   10    5   10      4.44
   10    5   11      1.78
   10    5   12      0.02
   10    6    1      3.07
   10    6    2      2.14
   10    6    3      2.36
   10    6    4      2.42
   10    6    5      3.24
   10    6    6      4.13
   10    6    7      4.90
   10    6    8      6.14
   10    6    9      6.32
   10    6   10      6.47
   10    6   11      4.15
   10    6   12      1.84
   10    7    1      6.42
   10    7    2      4.18
   10    7    3      3.53
   10    7    4      3.15
   10    7    5      3.30
   10    7    6      4.01
   10    7    7      4.42
   10    7    8      4.86
   10    7    9      5.96
   10    7   10      5.61
   10    7   11      5.57
   10    7   12      2.75
   10    8    1      7.98
   10    8    2      6.23
   10    8    3      5.81
   10    8    4      4.28
   10    8    5      3.10
   10    8    6      3.17
   10    8    7      3.98
   10    8    8      4.17
   10    8    9      5.67
   10    8   10      5.12
   10    8   11      4.75
   10    8   12      2.59
   10    9    1     11.99
   10    9    2     28.55
   10    9    3     34.51
   10    9    4     23.47
   10    9    5      4.62
   10    9    6      4.80
   10    9    7     12.95
   10    9    8     17.10
   10    9    9     19.54
   10    9   10     14.26
   10    9   11     11.69
   10    9   12      3.97
   10   10    1      9.94
   10   10    2     22.47
   10   10    3     24.99
   10   10    4     14.28
   10   10    5      0.00
   10   10    6      3.47
   10   10    7     10.99
   10   10    8     12.56
   10   10    9     13.98
   10   10   10      8.12
   10   10   11      5.29
   10   10   12      0.00
   11    1    1      0.98
   11    1    2      1.88
   11    1    3      1.78
   11    1    4      0.00
   11    1    5      3.01
   11    1    6      3.72
   11    1    7      1.68
   11    1    8      1.20
   11    1    9      2.78
   11    1   10      3.55
   11    1   11      1.26
   11    1   12      0.00
   11    2    1      4.08
   11    2    2      2.98
   11    2    3      2.94
   11    2    4      1.11
   11    2    5      2.68
   11    2    6      3.98
   11    2    7      2.12
   11    2    8      3.28
   11    2    9      6.53
   11    2   10      4.44
   11    2   11      2.49
   11    2   12      0.00
   11    3    1      4.18
   11    3    2      2.84
   11    3    3      3.53
   11    3    4      3.61
   11    3    5      3.68
   11    3    6      4.61
   11    3    7      2.38
   11    3    8      4.42
   11    3    9      5.52
   11    3   10      3.35
   11    3   11      2.99
   11    3   12      3.38
   11    4    1      3.51
   11    4    2      4.53
   11    4    3      4.92
   11    4    4      4.40
   11    4    5      3.63
   11    4    6      4.95
   11    4    7      4.54
   11    4    8      6.02
   11    4    9      3.67
   11    4   10      2.21
   11    4   11      3.20
   11    4   12      2.41
   11    5    1      1.59
   11    5    2      3.84
   11    5    3      5.13
   11    5    4      5.68
   11    5    5      5.42
   11    5    6      5.32
   11    5    7      4.32
   11    5    8      4.99
   11    5    9      4.22
   11    5   10      4.51
   11    5   11      1.65
   11    5   12      0.00
   11    6    1      1.18
   11    6    2      1.63
   11    6    3      4.37
   11    6    4      5.61
   11    6    5      6.38
   11    6    6      5.82
   11    6    7      5.72
   11    6    8      4.87
   11    6    9      2.97
   11    6   10      2.42
   11    6   11      2.80
   11    6   12      2.02
   11    7    1      1.33
   11    7    2      2.23
   11    7    3      3.18
   11    7    4      5.75
   11    7    5      6.20
   11    7    6      6.06
   11    7    7      5.29
   11    7    8      5.45
   11    7    9      4.37
   11    7   10      1.42
   11    7   11      0.68
   11    7   12      2.27
   11    8    1      1.29
   11    8    2      2.34
   11    8    3      3.95
   11    8    4      5.16
   11    8    5      5.85
   11    8    6      4.85
   11    8    7      4.26
   11    8    8      4.37
   11    8    9      5.45
   11    8   10      3.42
   11    8   11      0.00
   11    8   12      0.50
   11    9    1      0.00
   11    9    2      9.54
   11    9    3     21.19
   11    9    4     17.55
   11    9    5      9.22
   11    9    6     11.68
   11    9    7     12.22
   11    9    8     11.26
   11    9    9     18.09
   11    9   10     16.52
   11    9   11      7.86
   11    9   12      2.32
   11   10    1      0.00
   11   10    2      7.74
   11   10    3     18.01
   11   10    4      8.07
   11   10    5      4.05
   11   10    6      8.49
   11   10    7      7.53
   11   10    8      5.22
   11   10    9     12.92
   11   10   10     12.47
   11   10   11      9.12
   11   10   12      0.00
   12    1    1      3.93
   12    1    2      2.48
   12    1    3      2.40
   12    1    4      0.75
   12    1    5      1.40
   12    1    6      1.87
   12    1    7      2.08
   12    1    8      0.81
   12    1    9      0.00
   12    1   10      0.25
   12    1   11      2.11
   12    1   12      3.12
   12    2    1      5.04
   12    2    2      3.86
   12    2    3      2.71
   12    2    4      2.87
   12    2    5      3.08
   12    2    6      4.05
   12    2    7      3.14
   12    2    8      2.60
   12    2    9      2.62
   12    2   10      2.58
   12    2   11      1.69
   12    2   12      0.00
   12    3    1      5.91
   12    3    2      2.61
   12    3    3      2.71
   12    3    4      3.03
   12    3    5      4.55
   12    3    6      4.52
   12    3    7      4.51
   12    3    8      4.59
   12    3    9      5.15
   12    3   10      3.55
   12    3   11      2.03
   12    3   12      0.51
   12    4    1      2.49
   12    4    2      4.17
   12    4    3      5.41
   12    4    4      3.81
   12    4    5      3.44
   12    4    6      3.10
   12    4    7      4.49
   12    4    8      6.05
   12    4    9      5.55
   12    4   10      4.81
   12    4   11      4.21
   12    4   12      2.70
   12    5    1      4.61
   12    5    2      5.06
   12    5    3      4.03
   12    5    4      4.81
   12    5    5      5.52
   12    5    6      3.44
   12    5    7      3.39
   12    5    8      2.70
   12    5    9      4.57
   12    5   10      6.49
   12    5   11      5.20
   12    5   12      2.87
   12    6    1      4.10
   12    6    2      4.39
   12    6    3      6.01
   12    6    4      5.10
   12    6    5      3.98
   12    6    6      5.32
   12    6    7      4.14
   12    6    8      1.96
   12    6    9      1.74
   12    6   10      1.68
   12    6   11      5.53
   12    6   12      4.16
   12    7    1      1.37
   12    7    2      3.44
   12    7    3      4.78
   12    7    4      6.64
   12    7    5      5.49
   12    7    6      3.24
   12    7    7      4.59
   12    7    8      3.54
   12    7    9      1.23
   12    7   10      0.63
   12    7   11      0.53
   12    7   12      3.41
   12    8    1      0.00
   12    8    2      1.40
   12    8    3      2.79
   12    8    4      5.35
   12    8    5      7.06
   12    8    6      3.96
   12    8    7      2.40
   12    8    8      3.34
   12    8    9      2.07
   12    8   10      1.36
   12    8   11      0.00
   12    8   12      0.19
   12    9    1      0.66
   12    9    2      0.00
   12    9    3      1.74
   12    9    4      9.88
   12    9    5     21.84
   12    9    6     21.03
   12    9    7      9.24
   12    9    8      0.00
   12    9    9     13.92
   12    9   10     13.57
   12    9   11     10.59
   12    9   12      0.00
   12   10    1      1.55
   12   10    2      0.00
   12   10    3      0.00
   12   10    4      5.40
   12   10    5     13.88
   12   10    6     13.78
   12   10    7      2.91
   12   10    8      0.00
   12   10    9     10.46
   12   10   10     11.34
   12   10   11     10.22
   12   10   12      0.00
   13    1    1      0.00
   13    1    2      0.96
   13    1    3      1.83
   13    1    4      0.91
   13    1    5      0.12
   13    1    6      0.00
   13    1    7      1.49
   13    1    8      1.62
   13    1    9      1.48
   13    1   10      2.64
   13    1   11      2.71
   13    1   12      0.84
   13    2    1      1.57
   13    2    2      3.12
   13    2    3      2.90
   13    2    4      1.48
   13    2    5      1.51
   13    2    6      2.18
   13    2    7      2.19
   13    2    8      1.74
   13    2    9      1.14
   13    2   10      2.38
   13    2   11      2.08
   13    2   12      0.77
   13    3    1      3.62
   13    3    2      3.89
   13    3    3      3.65
   13    3    4      3.19
   13    3    5      4.39
   13    3    6      3.87
   13    3    7      2.96
   13    3    8      2.89
   13    3    9      2.28
   13    3   10      2.28
   13    3   11      0.98
   13    3   12      0.00
   13    4    1      2.35
   13    4    2      3.43
   13    4    3      4.81
   13    4    4      5.20
   13    4    5      5.57
   13    4    6      4.26
   13    4    7      4.99
   13    4    8      4.77
   13    4    9      3.48
   13    4   10      3.19
   13    4   11      1.27
   13    4   12      0.58
   13    5    1      3.87
   13    5    2      3.72
   13    5    3      3.77
   13    5    4      4.69
   13    5    5      5.34
   13    5    6      5.85
   13    5    7      5.98
   13    5    8      4.42
   13    5    9      5.10
   13    5   10      4.63
   13    5   11      2.93
   13    5   12      2.01
   13    6    1      6.74
   13    6    2      5.58
   13    6    3      3.56
   13    6    4      3.37
   13    6    5      4.25
   13    6    6      5.72
   13    6    7      5.55
   13    6    8      6.13
   13    6    9      5.11
   13    6   10      4.17
   13    6   11      4.63
   13    6   12      2.00
   13    7    1      2.39
   13    7    2      5.46
   13    7    3      5.02
   13    7    4      2.96
   13    7    5      2.53
   13    7    6      4.62
   13    7    7      5.98
   13    7    8      5.65
   13    7    9      6.37
   13    7   10      5.18
   13    7   11      3.68
   13    7   12      3.12
   13    8    1      0.00
   13    8    2      2.37
   13    8    3      4.29
   13    8    4      2.86
   13    8    5      2.00
   13    8    6      3.18
   13    8    7      6.60
   13    8    8      6.11
   13    8    9      5.75
   13    8   10      5.35
   13    8   11      3.81
   13    8   12      2.46
   13    9    1      0.00
   13    9    2      0.00
   13    9    3      4.72
   13    9    4      6.89
   13    9    5      5.39
   13    9    6     17.18
   13    9    7     29.20
   13    9    8     30.67
   13    9    9     18.18
   13    9   10      7.39
   13    9   11     13.81
   13    9   12     10.56
   13   10    1      0.14
   13   10    2      0.00
   13   10    3      0.06
   13   10    4      1.54
   13   10    5      0.00
   13   10    6     14.46
   13   10    7     22.46
   13   10    8     24.70
   13   10    9      9.73
   13   10   10      2.16
   13   10   11      6.02
   13   10   12      6.22
   14    1    1      0.60
   14    1    2      1.27
   14    1    3      1.42
   14    1    4      0.33
   14    1    5      1.30
   14    1    6      2.06
   14    1    7      1.95
   14    1    8      1.91
   14    1    9      1.55
   14    1   10      0.54
   14    1   11      1.51
   14    1   12      3.25
   14    2    1      0.00
   14    2    2      1.03
   14    2    3      2.21
   14    2    4      1.86
   14    2    5      2.37
   14    2    6      2.69
   14    2    7      1.66
   14    2    8      2.49
   14    2    9      3.04
   14    2   10      3.05
   14    2   11      2.74
   14    2   12      1.41
   14    3    1      0.48
   14    3    2      1.79
   14    3    3      2.33
   14    3    4      1.28
   14    3    5      2.61
   14    3    6      3.21
   14    3    7      3.07
   14    3    8      3.20
   14    3    9      2.44
   14    3   10      1.47
   14    3   11      2.11
   14    3   12      1.60
   14    4    1      2.29
   14    4    2      3.22
   14    4    3      3.37
   14    4    4      2.95
   14    4    5      3.68
   14    4    6      2.18
   14    4    7      2.62
   14    4    8      3.01
   14    4    9      2.99
   14    4   10      2.52
   14    4   11      1.86
   14    4   12      0.00
   14    5    1      6.06
   14    5    2      5.13
   14    5    3      4.51
   14    5    4      4.26
   14    5    5      3.90
   14    5    6      3.38
   14    5    7      3.75
   14    5    8      2.17
   14    5    9      2.31
   14    5   10      2.31
   14    5   11      2.20
   14    5   12      0.96
   14    6    1     10.35
   14    6    2      8.13
   14    6    3      5.12
   14    6    4      4.18
   14    6    5      4.76
   14    6    6      5.01
   14    6    7      4.03
   14    6    8      4.13
   14    6    9      3.07
   14    6   10      1.73
   14    6   11      1.25
   14    6   12      0.72
   14    7    1      7.23
   14    7    2      9.21
   14    7    3      8.57
   14    7    4      4.37
   14    7    5      3.05
   14    7    6      6.08
   14    7    7      6.48
   14    7    8      5.20
   14    7    9      4.44
   14    7   10      3.34
   14    7   11      1.41
   14    7   12      0.12
   14    8    1      3.70
   14    8    2      6.58
   14    8    3      8.65
   14    8    4      7.42
   14    8    5      1.91
   14    8    6      4.62
   14    8    7      8.54
   14    8    8      7.34
   14    8    9      4.88
   14    8   10      3.44
   14    8   11      1.99
   14    8   12      0.54
   14    9    1     11.93
   14    9    2     16.74
   14    9    3     24.07
   14    9    4     31.42
   14    9    5     16.71
   14    9    6     16.47
   14    9    7     30.14
   14    9    8     33.59
   14    9    9     19.61
   14    9   10      6.48
   14    9   11      5.35
   14    9   12      2.16
   14   10    1     11.26
   14   10    2      9.35
   14   10    3     14.76
   14   10    4     23.96
   14   10    5     13.00
   14   10    6      6.21
   14   10    7     19.15
   14   10    8     22.65
   14   10    9     13.29
   14   10   10      7.15
   14   10   11      4.71
   14   10   12      0.00
   15    1    1      2.02
   15    1    2      2.61
   15    1    3      2.35
   15    1    4      0.91
   15    1    5      1.49
   15    1    6      2.30
   15    1    7      1.03
   15    1    8      1.25
   15    1    9      2.82
   15    1   10      2.82
   15    1   11      1.38
   15    1   12      0.00
   15    2    1      3.42
   15    2    2      2.42
   15    2    3      1.47
   15    2    4      2.57
   15    2    5      3.47
   15    2    6      3.57
   15    2    7      2.35
   15    2    8      2.77
   15    2    9      3.29
   15    2   10      2.16
   15    2   11      2.23
   15    2   12      2.38
   15    3    1      0.77
   15    3    2      2.71
   15    3    3      3.37
   15    3    4      4.08
   15    3    5      2.72
   15    3    6      2.59
   15    3    7      3.31
   15    3    8      3.91
   15    3    9      3.68
   15    3   10      2.66
   15    3   11      2.36
   15    3   12      1.18
   15    4    1      1.13
   15    4    2      0.83
   15    4    3      1.75
   15    4    4      3.71
   15    4    5      3.96
   15    4    6      4.24
   15    4    7      3.23
   15    4    8      2.22
   15    4    9      2.76
   15    4   10      2.80
   15    4   11      2.89
   15    4   12      1.73
   15    5    1      3.17
   15    5    2      3.21
   15    5    3      1.96
   15    5    4      1.00
   15    5    5      2.12
   15    5    6      4.25
   15    5    7      4.18
   15    5    8      3.99
   15    5    9      2.59
   15    5   10      1.25
   15    5   11      1.30
   15    5   12      0.84
   15    6    1      7.65
   15    6    2      5.42
   15    6    3      3.75
   15    6    4      2.69
   15    6    5      0.99
   15    6    6      1.13
   15    6    7      3.77
   15    6    8      5.01
   15    6    9      3.94
   15    6   10      2.89
   15    6   11      0.59
   15    6   12      0.00
   15    7    1      7.40
   15    7    2      6.88
   15    7    3      6.06
   15    7    4      3.96
   15    7    5      3.16
   15    7    6      1.20
   15    7    7      1.13
   15    7    8      4.39
   15    7    9      5.47
   15    7   10      3.29
   15    7   11      2.07
   15    7   12      0.56
   15    8    1      4.34
   15    8    2      5.85
   15    8    3      6.92
   15    8    4      5.58
   15    8    5      3.86
   15    8    6      3.28
   15    8    7      1.53
   15    8    8      2.78
   15    8    9      5.25
   15    8   10      3.52
   15    8   11      1.24
   15    8   12      1.11
   15    9    1      2.44
   15    9    2     20.93
   15    9    3     24.91
   15    9    4     16.44
   15    9    5     17.34
   15    9    6     10.78
   15    9    7     12.07
   15    9    8     20.79
   15    9    9     14.03
   15    9   10      2.39
   15    9   11      0.00
   15    9   12      0.00
   15   10    1      3.19
   15   10    2     13.54
   15   10    3     13.38
   15   10    4     12.10
   15   10    5     12.02
   15   10    6      9.87
   15   10    7      7.65
   15   10    8     14.52
   15   10    9      6.90
   15   10   10      0.34
   15   10   11      0.00
   15   10   12      0.00
   16    1    1      0.00
   16    1    2      2.27
   16    1    3      3.29
   16    1    4      1.25
   16    1    5      0.53
   16    1    6      1.97
   16    1    7      2.65
   16    1    8      1.66
   16    1    9      0.39
   16    1   10      0.82
   16    1   11      1.09
   16    1   12      1.06
   16    2    1      2.69
   16    2    2      4.03
   16    2    3      3.36
   16    2    4      2.12
   16    2    5      3.35
   16    2    6      3.66
   16    2    7      1.94
   16    2    8      2.15
   16    2    9      3.28
   16    2   10      3.19
   16    2   11      1.48
   16    2   12      0.00
   16    3    1      2.58
   16    3    2      3.78
   16    3    3      4.04
   16    3    4      4.28
   16    3    5      4.56
   16    3    6      3.16
   16    3    7      2.78
   16    3    8      3.84
   16    3    9      3.09
   16    3   10      2.20
   16    3   11      2.61
   16    3   12      2.23
   16    4    1      4.71
   16    4    2      4.59
   16    4    3      3.66
   16    4    4      3.94
   16    4    5      4.10
   16    4    6      3.92
   16    4    7      4.30
   16    4    8      3.68
   16    4    9      3.00
   16    4   10      3.10
   16    4   11      1.82
   16    4   12      0.52
   16    5    1      3.95
   16    5    2      4.31
   16    5    3      4.79
   16    5    4      4.22
   16    5    5      3.35
   16    5    6      3.81
   16    5    7      4.07
   16    5    8      3.65
   16    5    9      3.74
   16    5   10      3.16
   16    5   11      1.93
   16    5   12      1.04
   16    6    1      1.20
   16    6    2      3.45
   16    6    3      4.58
   16    6    4      5.01
   16    6    5      4.54
   16    6    6      3.28
   16    6    7      3.38
   16    6    8      3.86
   16    6    9      3.47
   16    6   10      2.78
   16    6   11      2.65
   16    6   12      1.84
   16    7    1      0.25
   16    7    2      0.09
   16    7    3      2.50
   16    7    4      4.80
   16    7    5      5.79
   16    7    6      4.42
   16    7    7      2.37
   16    7    8      2.88
   16    7    9      3.98
   16    7   10      3.20
   16    7   11      1.63
   16    7   12      0.96
   16    8    1      5.98
   16    8    2      0.55
   16    8    3      0.00
   16    8    4      2.36
   16    8    5      4.60
   16    8    6      5.11
   16    8    7      3.01
   16    8    8      1.54
   16    8    9      3.12
   16    8   10      4.11
   16    8   11      2.40
   16    8   12      0.48
   16    9    1     16.26
   16    9    2     10.76
   16    9    3      0.62
   16    9    4      6.04
   16    9    5      4.51
   16    9    6      8.11
   16    9    7     10.17
   16    9    8      6.99
   16    9    9      5.62
   16    9   10     14.38
   16    9   11     14.11
   16    9   12     12.81
   16   10    1     13.34
   16   10    2     14.00
   16   10    3      0.49
   16   10    4      2.00
   16   10    5      0.79
   16   10    6      0.00
   16   10    7      6.78
   16   10    8      3.72
   16   10    9      0.00
   16   10   10      5.92
   16   10   11     13.80
   16   10   12     13.44
   17    1    1      0.00
   17    1    2      0.97
   17    1    3      2.19
   17    1    4      1.92
   17    1    5      1.42
   17    1    6      0.99
   17    1    7      1.34
   17    1    8      1.55
   17    1    9      1.85
   17    1   10      1.61
   17    1   11      0.72
   17    1   12      1.05
   17    2    1      1.65
   17    2    2      3.47
   17    2    3      3.45
   17    2    4      1.83
   17    2    5      2.49
   17    2    6      3.11
   17    2    7      2.66
   17    2    8      2.17
   17    2    9      2.09
   17    2   10      2.43
   17    2   11      1.75
   17    2   12      1.57
   17    3    1      5.51
   17    3    2      4.47
   17    3    3      3.30
   17    3    4      3.50
   17    3    5      4.14
   17    3    6      2.63
   17    3    7      2.07
   17    3    8      3.58
   17    3    9      3.84
   17    3   10      2.61
   17    3   11      1.14
   17    3   12      1.13
   17    4    1      5.78
   17    4    2      5.27
   17    4    3      5.31
   17    4    4      4.81
   17    4    5      3.52
   17    4    6      3.25
   17    4    7      3.61
   17    4    8      2.94
   17    4    9      2.68
   17    4   10      3.45
   17    4   11      2.81
   17    4   12      1.42
   17    5    1      6.80
   17    5    2      5.87
   17    5    3      5.20
   17    5    4      4.67
   17    5    5      4.73
   17    5    6      4.45
   17    5    7      3.55
   17    5    8      3.29
   17    5    9      3.13
   17    5   10      2.17
   17    5   11      1.90
   17    5   12      2.08
   17    6    1      3.30
   17    6    2      5.10
   17    6    3      6.10
   17    6    4      5.76
   17    6    5      4.97
   17    6    6      4.09
   17    6    7      4.27
   17    6    8      3.93
   17    6    9      3.23
   17    6   10      2.75
   17    6   11      1.59
   17    6   12      0.47
   17    7    1      1.82
   17    7    2      2.96
   17    7    3      3.99
   17    7    4      6.04
   17    7    5      6.32
   17    7    6      5.11
   17    7    7      3.23
   17    7    8      3.25
   17    7    9      4.12
   17    7   10      3.68
   17    7   11      2.00
   17    7   12      0.13
   17    8    1      5.69
   17    8    2      3.51
   17    8    3      2.95
   17    8    4      3.05
   17    8    5      5.52
   17    8    6      5.94
   17    8    7      4.48
   17    8    8      2.45
   17    8    9      3.10
   17    8   10      4.19
   17    8   11      2.69
   17    8   12      0.46
   17    9    1     10.18
   17    9    2     15.50
   17    9    3     16.62
   17    9    4     12.65
   17    9    5     10.06
   17    9    6     14.75
   17    9    7     19.77
   17    9    8     15.19
   17    9    9     11.72
   17    9   10     14.58
   17    9   11      4.98
   17    9   12      0.00
   17   10    1      0.00
   17   10    2      8.30
   17   10    3     11.62
   17   10    4     11.36
   17   10    5      4.21
   17   10    6      2.96
   17   10    7     13.50
   17   10    8     12.19
   17   10    9      9.19
   17   10   10     10.97
   17   10   11      5.64
   17   10   12      0.00
   18    1    1      1.13
   18    1    2      2.33
   18    1    3      1.96
   18    1    4      1.29
   18    1    5      1.52
   18    1    6      1.91
   18    1    7      1.65
   18    1    8      1.18
   18    1    9      1.79
   18    1   10      1.29
   18    1   11      0.00
   18    1   12      0.00
   18    2    1      1.71
   18    2    2      3.05
   18    2    3      2.92
   18    2    4      2.69
   18    2    5      3.10
   18    2    6      2.62
   18    2    7      2.40
   18    2    8      2.40
   18    2    9      2.76
   18    2   10      1.77
   18    2   11      1.18
   18    2   12      1.23
   18    3    1      4.38
   18    3    2      4.07
   18    3    3      2.91
   18    3    4      2.99
   18    3    5      3.29
   18    3    6      3.08
   18    3    7      3.26
   18    3    8      3.12
   18    3    9      3.05
   18    3   10      2.30
   18    3   11      1.94
   18    3   12      1.14
   18    4    1      5.39
   18    4    2      4.12
   18    4    3      3.49
   18    4    4      3.42
   18    4    5      2.71
   18    4    6      3.10
   18    4    7      3.67
   18    4    8      3.49
   18    4    9      3.47
   18    4   10      2.81
   18    4   11      2.29
   18    4   12      1.03
   18    5    1      6.97
   18    5    2      5.39
   18    5    3      3.92
   18    5    4      3.18
   18    5    5      3.20
   18    5    6      3.28
   18    5    7      2.66
   18    5    8      3.68
   18    5    9      4.34
   18    5   10      3.46
   18    5   11      2.38
   18    5   12      0.99
   18    6    1      3.20
   18    6    2      4.76
   18    6    3      5.25
   18    6    4      4.52
   18    6    5      3.63
   18    6    6      3.14
   18    6    7      3.06
   18    6    8      2.81
   18    6    9      3.14
   18    6   10      4.67
   18    6   11      4.21
   18    6   12      2.10
   18    7    1      6.10
   18    7    2      3.96
   18    7    3      3.90
   18    7    4      4.67
   18    7    5      4.60
   18    7    6      4.02
   18    7    7      3.09
   18    7    8      2.49
   18    7    9      2.64
   18    7   10      3.21
   18    7   11      4.37
   18    7   12      3.50
   18    8    1     10.44
   18    8    2      6.93
   18    8    3      3.82
   18    8    4      3.20
   18    8    5      3.77
   18    8    6      3.99
   18    8    7      4.03
   18    8    8      3.25
   18    8    9      2.50
   18    8   10      2.19
   18    8   11      2.24
   18    8   12      2.43
   18    9    1     29.71
   18    9    2     32.39
   18    9    3     23.50
   18    9    4     13.30
   18    9    5      7.56
   18    9    6      9.35
   18    9    7     15.51
   18    9    8     13.94
   18    9    9     14.72
   18    9   10     14.21
   18    9   11      6.52
   18    9   12      0.00
   18   10    1      8.69
   18   10    2     21.76
   18   10    3     17.64
   18   10    4     13.78
   18   10    5      2.96
   18   10    6      4.92
   18   10    7      8.26
   18   10    8      8.45
   18   10    9      6.48
   18   10   10     16.30
   18   10   11      8.56
   18   10   12      0.00
   19    1    1      1.10
   19    1    2      2.14
   19    1    3      2.20
   19    1    4      1.83
   19    1    5      1.69
   19    1    6      1.45
   19    1    7      0.60
   19    1    8      0.02
   19    1    9      0.39
   19    1   10      0.44
   19    1   11      0.39
   19    1   12      0.43
   19    2    1      4.29
   19    2    2      4.06
   19    2    3      2.55
   19    2    4      2.42
   19    2    5      2.54
   19    2    6      2.57
   19    2    7      2.07
   19    2    8      1.84
   19    2    9      1.26
   19    2   10      0.18
   19    2   11      0.00
   19    2   12      0.26
   19    3    1      5.10
   19    3    2      3.61
   19    3    3      3.24
   19    3    4      3.83
   19    3    5      2.98
   19    3    6      2.63
   19    3    7      2.59
   19    3    8      2.63
   19    3    9      2.20
   19    3   10      1.69
   19    3   11      1.24
   19    3   12      0.29
   19    4    1      4.56
   19    4    2      3.27
   19    4    3      2.84
   19    4    4      2.60
   19    4    5      3.13
   19    4    6      4.10
   19    4    7      3.37
   19    4    8      2.86
   19    4    9      2.44
   19    4   10      2.32
   19    4   11      1.86
   19    4   12      0.96
   19    5    1      3.70
   19    5    2      2.70
   19    5    3      2.16
   19    5    4      2.19
   19    5    5      2.97
   19    5    6      3.13
   19    5    7      3.71
   19    5    8      4.40
   19    5    9      3.50
   19    5   10      2.81
   19    5   11      1.79
   19    5   12      1.16
   19    6    1      2.62
   19    6    2      2.55
   19    6    3      2.04
   19    6    4      1.68
   19    6    5      2.06
   19    6    6      3.30
   19    6    7      3.95
   19    6    8      3.66
   19    6    9      4.34
   19    6   10      4.11
   19    6   11      3.05
   19    6   12      1.52
   19    7    1      4.84
   19    7    2      2.93
   19    7    3      2.35
   19    7    4      2.19
   19    7    5      1.66
   19    7    6      2.08
   19    7    7      3.53
   19    7    8      4.82
   19    7    9      4.01
   19    7   10      3.44
   19    7   11      3.15
   19    7   12      1.83
   19    8    1      6.05
   19    8    2      3.84
   19    8    3      2.62
   19    8    4      3.12
   19    8    5      2.88
   19    8    6      1.68
   19    8    7      2.25
   19    8    8      4.19
   19    8    9      4.35
   19    8   10      2.40
   19    8   11      1.56
   19    8   12      1.05
   19    9    1      7.10
   19    9    2      8.32
   19    9    3     13.00
   19    9    4     16.43
   19    9    5     14.63
   19    9    6     14.66
   19    9    7     10.70
   19    9    8      7.71
   19    9    9      4.74
   19    9   10      7.53
   19    9   11      3.65
   19    9   12      0.74
   19   10    1      2.45
   19   10    2      0.00
   19   10    3      9.27
   19   10    4     10.48
   19   10    5     11.59
   19   10    6      8.51
   19   10    7     11.29
   19   10    8      4.34
   19   10    9      0.12
   19   10   10      1.36
   19   10   11      8.58
   19   10   12      0.00
   20    1    1      1.89
   20    1    2      1.86
   20    1    3      0.95
   20    1    4      0.47
   20    1    5      0.57
   20    1    6      0.35
   20    1    7      0.00
   20    1    8      0.44
   20    1    9      1.08
   20    1   10      0.75
   20    1   11      0.09
   20    1   12      0.00
   20    2    1      3.24
   20    2    2      3.05
   20    2    3      2.31
   20    2    4      2.00
   20    2    5      1.31
   20    2    6      0.60
   20    2    7      0.35
   20    2    8      0.63
   20    2    9      0.12
   20    2   10      0.01
   20    2   11      0.69
   20    2   12      0.90
   20    3    1      4.10
   20    3    2      2.21
   20    3    3      1.79
   20    3    4      2.29
   20    3    5      2.32
   20    3    6      2.20
   20    3    7      1.64
   20    3    8      0.67
   20    3    9      0.00
   20    3   10      0.19
   20    3   11      0.38
   20    3   12      0.13
   20    4    1      4.07
   20    4    2      2.63
   20    4    3      1.99
   20    4    4      1.10
   20    4    5      1.43
   20    4    6      2.42
   20    4    7      2.81
   20    4    8      2.33
   20    4    9      1.48
   20    4   10      0.55
   20    4   11      0.00
   20    4   12      0.00
   20    5    1      2.75
   20    5    2      2.58
   20    5    3      2.19
   20    5    4      1.71
   20    5    5      1.64
   20    5    6      1.24
   20    5    7      1.94
   20    5    8      2.76
   20    5    9      2.99
   20    5   10      2.33
   20    5   11      1.10
   20    5   12      0.12
   20    6    1      0.77
   20    6    2      1.55
   20    6    3      2.44
   20    6    4      2.31
   20    6    5      1.80
   20    6    6      2.02
   20    6    7      1.88
   20    6    8      1.91
   20    6    9      2.39
   20    6   10      2.90
   20    6   11      2.72
   20    6   12      1.52
   20    7    1      0.00
   20    7    2      0.18
   20    7    3      1.50
   20    7    4      2.92
   20    7    5      2.96
   20    7    6      1.95
   20    7    7      2.22
   20    7    8      2.22
   20    7    9      1.76
   20    7   10      1.89
   20    7   11      2.04
   20    7   12      1.69
   20    8    1      1.24
   20    8    2      0.09
   20    8    3      0.79
   20    8    4      2.60
   20    8    5      3.64
   20    8    6      3.14
   20    8    7      1.49
   20    8    8      1.71
   20    8    9      1.73
   20    8   10      1.40
   20    8   11      0.95
   20    8   12      0.36
   20    9    1      0.00
   20    9    2     10.84
   20    9    3     16.95
   20    9    4      9.24
   20    9    5      6.84
   20    9    6     10.78
   20    9    7     10.62
   20    9    8      0.23
   20    9    9      0.00
   20    9   10      8.88
   20    9   11      4.42
   20    9   12      0.00
   20   10    1      4.52
   20   10    2      2.76
   20   10    3     13.74
   20   10    4     12.14
   20   10    5      2.18
   20   10    6      3.57
   20   10    7     11.22
   20   10    8      7.04
   20   10    9      0.00
   20   10   10      5.08
   20   10   11      7.88
   20   10   12      0.00