optdigits.arff

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2009-10-30 13:11:21
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Optical Recognition of Handwritten Digits
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% 
% 1. Title of Database: Optical Recognition of Handwritten Digits
% 
% 2. Source:
% 	E. Alpaydin, C. Kaynak
% 	Department of Computer Engineering
% 	Bogazici University, 80815 Istanbul Turkey
% 	alpaydin@boun.edu.tr
% 	July 1998
% 
% 3. Past Usage:
% 	C. Kaynak (1995) Methods of Combining Multiple Classifiers and Their
% 	Applications to Handwritten Digit Recognition, 
% 	MSc Thesis, Institute of Graduate Studies in Science and 
% 	Engineering, Bogazici University.
% 
% 	E. Alpaydin, C. Kaynak (1998) Cascading Classifiers, Kybernetika,
% 	to appear. ftp://ftp.icsi.berkeley.edu/pub/ai/ethem/kyb.ps.Z
% 
% 4. Relevant Information:
% 	We used preprocessing programs made available by NIST to extract
% 	normalized bitmaps of handwritten digits from a preprinted form. From
% 	a total of 43 people, 30 contributed to the training set and different
% 	13 to the test set. 32x32 bitmaps are divided into nonoverlapping 
% 	blocks of 4x4 and the number of on pixels are counted in each block.
% 	This generates an input matrix of 8x8 where each element is an 
% 	integer in the range 0..16. This reduces dimensionality and gives 
% 	invariance to small distortions.
% 
% 	For info on NIST preprocessing routines, see 
% 	M. D. Garris, J. L. Blue, G. T. Candela, D. L. Dimmick, J. Geist, 
% 	P. J. Grother, S. A. Janet, and C. L. Wilson, NIST Form-Based 
% 	Handprint Recognition System, NISTIR 5469, 1994.
% 
% 5. Number of Instances
% 	optdigits.tra	Training	3823
% 	optdigits.tes	Testing		1797
% 	
% 	The way we used the dataset was to use half of training for 
% 	actual training, one-fourth for validation and one-fourth
% 	for writer-dependent testing. The test set was used for 
% 	writer-independent testing and is the actual quality measure.
% 
% 6. Number of Attributes
% 	64 input+1 class attribute
% 
% 7. For Each Attribute:
% 	All input attributes are integers in the range 0..16.
% 	The last attribute is the class code 0..9
% 
% 8. Missing Attribute Values
% 	None
% 
% 9. Class Distribution
% 	Class:	No of examples in training set
% 	0:  376
% 	1:  389
% 	2:  380
% 	3:  389
% 	4:  387
% 	5:  376
% 	6:  377
% 	7:  387
% 	8:  380
% 	9:  382
% 
% 	Class: No of examples in testing set
% 	0:  178
% 	1:  182
% 	2:  177
% 	3:  183
% 	4:  181
% 	5:  182
% 	6:  181
% 	7:  179
% 	8:  174
% 	9:  180
% 
% Accuracy on the testing set with k-nn 
% using Euclidean distance as the metric
% 
%  k =  1   : 98.00
%  k =  2   : 97.38
%  k =  3   : 97.83
%  k =  4   : 97.61
%  k =  5   : 97.89
%  k =  6   : 97.77
%  k =  7   : 97.66
%  k =  8   : 97.66
%  k =  9   : 97.72
%  k = 10   : 97.55
%  k = 11   : 97.89

@relation optdigits

@attribute input1  numeric
@attribute input2  numeric
@attribute input3  numeric
@attribute input4  numeric
@attribute input5  numeric
@attribute input6  numeric
@attribute input7  numeric
@attribute input8  numeric
@attribute input9  numeric
@attribute input10 numeric
@attribute input11 numeric
@attribute input12 numeric
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@attribute input14 numeric
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@attribute input57 numeric
@attribute input58 numeric
@attribute input59 numeric
@attribute input60 numeric
@attribute input61 numeric
@attribute input62 numeric
@attribute input63 numeric
@attribute input64 numeric
@attribute class {0,1,2,3,4,5,6,7,8,9}

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0,0,4,13,16,8,0,0,0,6,16,9,11,12,0,0,0,9,11,4,16,6,0,0,0,0,8,15,16,12,1,0,0,0,2,6,1,13,8,0,0,0,9,1,0,9,8,0,0,0,13,8,9,15,4,0,0,0,6,14,12,5,0,0,3
0,1,14,14,4,0,0,0,0,10,15,15,15,0,0,0,0,14,10,4,16,3,0,0,0,2,1,9,16,0,0,0,0,0,0,13,13,0,0,0,0,0,3,16,5,0,0,0,0,0,13,16,13,5,4,0,0,2,15,14,16,16,16,5,2
0,2,7,14,11,1,0,0,0,8,15,3,7,8,0,0,0,10,10,1,12,8,0,0,0,4,16,16,15,6,0,0,0,2,16,6,0,11,7,0,0,1,16,0,0,4,13,0,0,0,16,2,5,14,4,0,0,0,7,16,14,6,0,0,8
0,1,14,15,5,0,0,0,0,3,16,15,15,3,0,0,0,3,16,9,16,5,0,0,0,0,5,6,16,4,0,0,0,0,0,8,15,1,0,0,0,0,0,14,11,0,0,0,0,0,9,16,14,8,7,0,0,0,15,16,16,16,16,6,2
0,0,1,8,14,14,6,0,0,0,3,11,7,12,14,0,0,0,0,0,0,9,11,0,0,1,12,12,12,15,8,0,0,0,7,8,14,13,1,0,0,0,0,4,15,2,0,0,0,0,0,13,6,0,0,0,0,0,1,14,2,0,0,0,7
0,0,0,1,15,9,1,0,0,0,0,5,16,16,0,0,0,0,0,13,16,11,0,0,0,2,8,16,16,11,0,0,0,5,12,13,16,8,0,0,0,0,0,5,16,7,0,0,0,0,0,7,16,4,0,0,0,0,0,3,16,15,1,0,1
0,0,0,4,15,6,0,0,0,0,3,15,9,4,14,0,0,2,15,9,0,11,10,0,0,7,16,10,12,16,14,0,0,3,14,13,15,14,2,0,0,0,0,0,12,10,0,0,0,0,0,2,16,6,0,0,0,0,0,6,13,1,0,0,4
0,0,2,13,6,0,0,0,0,0,10,14,6,0,0,0,0,0,15,6,0,0,0,0,0,0,16,3,0,0,0,0,0,0,14,16,16,12,1,0,0,2,16,13,3,9,10,0,0,0,8,14,4,13,13,0,0,0,2,12,14,12,4,0,6
0,0,11,16,6,0,0,0,0,2,16,14,14,1,0,0,0,6,16,2,15,6,0,0,0,2,11,0,15,5,0,0,0,0,0,0,16,5,0,0,0,0,0,4,16,2,0,0,0,0,6,15,15,8,8,3,0,0,12,16,15,16,16,6,2
0,0,7,14,6,0,0,0,0,5,16,9,13,3,0,0,0,8,12,0,5,12,0,0,0,4,12,0,0,11,6,0,0,6,12,0,0,9,7,0,0,1,15,0,1,15,5,0,0,0,13,7,13,11,0,0,0,0,4,15,11,0,0,0,0
0,0,0,0,8,12,5,0,0,0,0,10,11,11,9,0,0,0,11,10,0,16,1,0,0,6,16,13,12,15,4,0,0,2,8,8,12,14,4,0,0,0,0,0,12,4,0,0,0,0,0,0,13,1,0,0,0,0,0,0,11,0,0,0,4
0,0,1,12,11,0,0,0,0,0,8,14,3,0,0,0,0,1,14,5,0,0,0,0,0,1,16,9,4,0,0,0,0,3,16,13,12,12,3,0,0,1,16,3,0,1,15,0,0,0,9,9,2,9,15,2,0,0,2,14,15,12,3,0,6
0,2,11,15,16,8,0,0,0,4,9,1,5,16,4,0,0,0,0,5,13,13,0,0,0,0,4,16,16,5,0,0,0,0,0,2,7,14,2,0,0,0,2,0,0,11,7,0,0,6,10,1,8,14,2,0,0,3,14,15,11,3,0,0,3
0,0,5,12,14,16,5,0,0,6,16,15,10,16,6,0,0,0,3,0,3,16,2,0,0,0,1,4,14,13,2,0,0,7,16,16,16,16,11,0,0,4,9,14,12,1,1,0,0,0,0,16,8,0,0,0,0,0,4,16,5,0,0,0,7
0,0,0,0,13,5,0,0,0,0,0,3,16,13,0,0,0,0,0,10,16,12,0,0,0,6,16,16,16,8,0,0,0,4,8,6,16,5,0,0,0,0,0,4,16,4,0,0,0,0,0,4,16,8,0,0,0,0,0,0,12,13,5,0,1
0,0,10,8,11,2,0,0,0,0,16,15,8,13,2,0,0,4,16,4,0,9,7,0,0,7,14,0,0,3,8,0,0,8,12,0,0,7,8,0,0,6,6,0,3,15,4,0,0,4,14,10,16,7,0,0,0,0,10,14,5,0,0,0,0
0,1,9,13,9,0,0,0,0,3,16,10,11,11,0,0,0,1,9,0,2,15,0,0,0,0,0,0,4,15,0,0,0,0,0,1,11,8,0,0,0,0,0,10,15,1,0,0,0,0,6,16,16,13,9,0,0,0,11,12,8,8,8,1,2
0,3,12,16,10,0,0,0,0,8,16,10,16,6,0,0,0,2,9,0,12,8,0,0,0,0,0,0,15,9,0,0,0,0,0,9,14,1,0,0,0,0,4,16,9,0,0,0,0,1,14,16,13,12,9,1,0,4,16,16,13,15,16,3,2
0,0,10,16,16,16,4,0,0,2,14,8,1,1,0,0,0,7,15,12,12,7,0,0,0,3,9,7,5,16,6,0,0,0,0,0,0,5,8,0,0,0,0,0,0,13,7,0,0,0,11,4,13,12,0,0,0,0,9,13,9,0,0,0,5
0,0,8,15,5,0,0,0,0,4,15,12,16,0,0,0,0,10,9,0,12,4,0,0,0,3,1,0,13,3,0,0,0,0,0,1,16,0,0,0,0,0,0,6,11,0,0,0,0,0,5,16,16,16,15,0,0,0,9,10,4,6,9,0,2
0,0,0,0,11,2,0,0,0,0,0,8,12,0,0,0,0,0,2,15,4,4,8,0,0,1,13,8,0,10,10,0,0,9,16,8,9,16,7,0,0,6,12,12,13,14,1,0,0,0,0,0,14,8,0,0,0,0,0,3,16,4,0,0,4
0,0,5,12,16,12,0,0,0,2,16,10,8,16,4,0,0,7,16,8,2,16,4,0,0,0,5,15,16,10,0,0,0,0,0,12,16,8,0,0,0,0,6,12,5,16,4,0,0,0,8,12,6,16,6,0,0,0,5,15,15,9,0,0,8
0,0,0,6,14,11,1,0,0,0,2,14,16,16,2,0,0,0,11,16,16,16,0,0,0,5,15,16,16,16,4,0,0,1,5,7,16,16,2,0,0,0,0,3,16,16,3,0,0,0,0,4,16,16,4,0,0,0,0,4,15,15,4,0,1
0,0,5,10,16,15,6,0,0,0,12,9,8,15,12,0,0,0,0,0,1,16,5,0,0,2,15,12,13,15,2,0,0,2,11,11,15,10,5,0,0,0,0,11,7,0,0,0,0,0,4,16,1,0,0,0,0,0,9,12,0,0,0,0,7
0,0,10,13,15,12,5,0,0,0,9,5,5,13,7,0,0,0,0,1,11,13,0,0,0,0,5,16,16,3,0,0,0,0,2,10,12,15,7,0,0,0,0,0,1,16,4,0,0,0,2,8,13,12,1,0,0,0,10,15,7,0,0,0,3
0,0,2,12,11,2,0,0,0,1,15,12,9,13,0,0,0,6,13,1,0,14,2,0,0,6,12,0,0,8,8,0,0,8,12,0,0,7,8,0,0,5,15,0,0,7,9,0,0,0,13,9,8,15,4,0,0,0,3,13,16,8,0,0,0
0,0,5,13,14,5,0,0,0,5,16,12,12,16,0,0,0,1,3,0,11,14,0,0,0,0,0,9,16,4,0,0,0,0,2,16,16,9,1,0,0,0,0,3,5,16,7,0,0,0,2,4,9,16,5,0,0,0,5,13,14,6,0,0,3
0,0,6,9,13,11,0,0,0,10,14,8,9,16,4,0,0,0,0,0,1,15,6,0,0,0,0,3,14,14,1,0,0,0,7,16,16,16,4,0,0,0,1,1,0,12,9,0,0,0,1,2,5,14,10,0,0,0,7,16,13,10,1,0,3
0,0,7,11,16,7,0,0,0,1,12,12,13,16,0,0,0,0,0,0,6,16,0,0,0,4,13,10,15,13,2,0,0,1,8,14,16,12,4,0,0,0,2,15,7,0,0,0,0,0,9,15,0,0,0,0,0,0,12,7,0,0,0,0,7
0,1,9,15,16,8,0,0,0,7,16,12,16,8,0,0,0,0,2,0,16,8,0,0,0,1,8,12,16,10,1,0,0,4,16,16,16,16,11,0,0,0,12,16,3,4,2,0,0,0,9,16,0,0,0,0,0,0,14,11,0,0,0,0,7
0,0,1,9,13,11,3,0,0,0,13,12,8,10,12,0,0,5,13,1,8,15,10,0,0,6,16,16,15,16,6,0,0,0,5,5,5,14,0,0,0,0,0,1,12,7,0,0,0,0,0,8,15,0,0,0,0,0,0,15,7,0,0,0,9
0,0,0,4,13,12,2,0,0,0,1,15,16,16,3,0,0,0,7,16,16,16,2,0,0,1,14,16,16,16,3,0,0,7,16,16,16,16,0,0,0,0,0,11,16,13,0,0,0,0,0,8,16,15,3,0,0,0,0,6,16,12,2,0,1
0,0,6,13,15,4,0,0,0,5,16,9,8,12,0,0,0,4,4,0,10,10,0,0,0,0,1,10,16,10,1,0,0,0,3,11,8,15,8,0,0,0,0,0,0,11,7,0,0,0,4,4,8,15,1,0,0,0,4,15,15,1,0,0,3
0,0,7,13,16,9,0,0,0,0,11,8,9,16,5,0,0,0,0,0,7,15,0,0,0,0,0,13,16,5,0,0,0,0,0,10,12,16,3,0,0,0,0,0,3,16,2,0,0,0,2,7,14,7,0,0,0,0,10,10,2,0,0,0,3
0,0,0,2,14,2,0,0,0,0,0,11,13,0,0,0,0,0,8,15,3,2,10,0,0,2,16,9,0,12,15,0,0,13,16,9,12,16,9,0,0,12,16,16,16,16,2,0,0,0,4,3,14,14,0,0,0,0,0,0,15,13,0,0,4
0,3,9,14,16,13,1,0,0,7,13,9,10,16,4,0,0,0,1,1,12,12,1,0,0,0,0,14,16,4,0,0,0,0,0,8,14,16,2,0,0,0,0,0,3,16,8,0,0,0,3,9,15,12,1,0,0,2,16,13,7,0,0,0,3
0,0,0,4,16,4,0,0,0,0,0,14,14,2,0,0,0,0,7,16,5,1,3,0,0,4,16,11,1,13,11,0,0,13,16,13,13,16,8,0,0,9,16,16,16,16,4,0,0,0,0,4,16,7,0,0,0,0,0,5,16,9,0,0,4
0,0,12,16,7,0,0,0,0,1,16,9,15,2,0,0,0,0,3,0,12,4,0,0,0,0,0,0,13,4,0,0,0,0,0,7,15,1,0,0,0,1,11,16,7,0,0,0,0,7,16,16,11,6,2,0,0,1,8,11,12,13,7,0,2
0,0,6,13,16,10,1,0,0,0,15,7,5,13,7,0,0,7,15,1,1,14,6,0,0,1,12,13,14,9,0,0,0,0,0,15,16,3,0,0,0,0,7,13,8,15,0,0,0,0,12,8,7,16,1,0,0,0,5,16,16,5,0,0,8
0,0,4,12,16,15,5,0,0,0,13,16,16,16,7,0,0,4,16,13,14,11,0,0,0,6,16,16,14,1,0,0,0,0,9,16,12,1,0,0,0,0,12,12,15,7,0,0,0,0,13,10,13,12,0,0,0,0,3,15,13,4,0,0,8
0,0,3,12,13,10,1,0,0,2,13,9,7,14,8,0,0,8,12,0,0,13,8,0,0,4,15,13,14,16,1,0,0,0,1,4,14,9,0,0,0,0,0,6,14,1,0,0,0,0,2,16,5,0,0,0,0,0,2,16,1,0,0,0,9
0,0,1,11,12,4,0,0,0,1,11,12,9,15,5,0,0,7,16,4,3,15,7,0,0,3,15,13,15,11,0,0,0,0,3,16,13,14,0,0,0,0,8,9,0,14,7,0,0,0,11,9,9,15,6,0,0,0,2,12,14,8,0,0,8
0,0,0,4,13,0,0,0,0,0,0,15,8,2,5,0,0,0,11,9,0,12,8,0,0,4,14,1,0,14,5,0,0,8,14,6,7,16,6,0,0,2,11,13,15,13,2,0,0,0,0,1,15,3,0,0,0,0,0,4,14,0,0,0,4
0,0,12,15,15,12,1,0,0,0,3,4,5,15,7,0,0,0,0,0,5,14,0,0,0,1,11,12,14,11,0,0,0,0,4,11,16,16,7,0,0,0,0,13,7,0,0,0,0,0,4,14,1,0,0,0,0,0,12,5,0,0,0,0,7
0,0,2,10,12,4,0,0,0,0,10,16,16,16,0,0,0,0,13,16,16,12,0,0,0,0,12,16,16,12,0,0,0,0,12,16,16,12,0,0,0,0,12,16,16,13,0,0,0,0,8,16,16,15,0,0,0,0,4,10,8,3,0,0,1
0,0,0,10,8,0,0,0,0,0,3,16,7,0,0,0,0,0,10,9,0,0,0,0,0,0,14,9,7,3,0,0,0,1,16,16,14,16,5,0,0,1,15,10,0,3,14,1,0,0,8,12,5,5,15,4,0,0,1,9,15,16,11,0,6
0,0,1,10,16,7,0,0,0,1,14,14,12,16,4,0,0,6,16,2,1,16,4,0,0,6,16,11,13,16,2,0,0,0,11,12,16,11,0,0,0,0,0,3,16,5,0,0,0,0,0,11,14,0,0,0,0,0,0,13,11,0,0,0,9
0,0,0,0,10,0,0,0,0,0,0,6,13,0,0,0,0,0,1,13,5,2,2,0,0,0,11,9,0,14,7,0,0,5,16,1,8,16,2,0,0,3,16,14,16,15,5,0,0,0,0,0,16,8,0,0,0,0,0,0,15,8,0,0,4
0,0,0,8,12,2,0,0,0,0,9,15,8,12,0,0,0,5,16,3,0,12,2,0,0,5,13,0,0,5,7,0,0,8,10,0,0,4,8,0,0,0,16,0,0,3,12,0,0,0,11,9,4,14,6,0,0,0,0,10,13,9,1,0,0
0,0,0,3,15,11,4,0,0,0,0,13,16,15,0,0,0,0,7,16,16,12,0,0,0,6,16,16,16,12,0,0,0,5,10,5,16,13,0,0,0,0,0,4,16,16,2,0,0,0,0,6,16,16,2,0,0,0,0,3,13,12,1,0,1
0,1,8,13,16,13,0,0,0,5,14,7,8,15,0,0,0,0,0,2,13,8,0,0,0,0,0,13,16,13,1,0,0,0,0,2,5,14,7,0,0,0,0,0,0,13,7,0,0,0,2,6,12,13,1,0,0,0,7,13,7,1,0,0,3
0,0,0,7,13,4,0,0,0,0,8,15,7,2,0,0,0,2,15,5,0,0,0,0,0,5,15,0,0,0,0,0,0,5,16,16,15,12,4,0,0,2,15,11,4,10,12,0,0,0,7,13,5,12,13,0,0,0,1,8,13,12,3,0,6
0,0,2,14,3,0,0,0,0,0,13,16,12,0,0,0,0,8,12,2,12,0,0,0,0,6,8,0,12,0,0,0,0,0,0,0,15,0,0,0,0,0,1,5,15,0,0,0,0,0,7,16,16,14,9,0,0,0,2,12,12,12,11,0,2
0,0,0,2,13,1,0,0,0,0,1,15,11,0,0,0,0,0,8,15,2,2,0,0,0,1,16,7,3,16,3,0,0,7,16,10,10,16,4,0,0,5,12,13,16,15,2,0,0,0,0,1,14,10,0,0,0,0,0,0,15,11,0,0,4
0,0,11,16,16,16,3,0,0,1,12,12,13,16,5,0,0,0,0,0,7,16,2,0,0,0,5,13,16,15,1,0,0,0,12,16,16,16,10,0,0,0,1,13,10,4,1,0,0,0,8,16,2,0,0,0,0,0,15,11,0,0,0,0,7
0,0,0,7,15,1,0,0,0,0,2,14,11,0,0,0,0,0,8,16,4,1,7,0,0,5,16,9,0,12,15,0,0,11,16,14,12,16,9,0,0,6,12,12,16,16,1,0,0,0,0,5,16,8,0,0,0,0,0,10,12,0,0,0,4
0,0,2,13,9,0,0,0,0,2,16,15,14,6,0,0,0,8,16,5,3,15,0,0,0,7,16,1,0,11,7,0,0,6,12,0,0,8,8,0,0,0,16,2,0,7,10,0,0,0,12,12,7,15,5,0,0,0,0,13,16,9,0,0,0
0,2,14,16,14,2,0,0,0,9,15,9,16,8,0,0,0,1,3,1,16,6,0,0,0,0,0,5,16,3,0,0,0,0,0,13,13,0,0,0,0,0,7,16,3,0,0,0,0,2,15,16,10,12,6,0,0,4,16,16,16,16,11,0,2
0,0,8,15,16,14,5,0,0,5,16,4,6,16,8,0,0,7,16,4,9,15,3,0,0,0,12,16,16,3,0,0,0,0,3,15,16,9,0,0,0,0,13,6,6,16,4,0,0,0,16,8,8,16,6,0,0,0,11,16,13,8,0,0,8
0,4,14,14,16,16,4,0,0,5,16,11,5,4,0,0,0,4,16,4,0,0,0,0,0,6,16,16,16,11,0,0,0,4,11,6,7,16,4,0,0,0,0,0,4,16,4,0,0,0,1,7,15,12,0,0,0,4,16,12,5,0,0,0,5
0,0,0,9,15,10,1,0,0,0,4,15,16,16,4,0,0,4,15,16,16,16,4,0,0,8,15,10,16,16,8,0,0,0,0,0,16,16,7,0,0,0,0,1,16,16,6,0,0,0,0,7,16,16,4,0,0,0,0,6,12,12,1,0,1
0,0,5,16,10,1,0,0,0,11,14,13,14,12,0,0,0,12,16,4,3,15,5,0,0,11,12,1,0,7,9,0,0,9,10,0,0,3,14,0,0,6,14,0,0,9,16,0,0,0,14,9,9,16,11,0,0,0,5,15,16,15,1,0,0
0,0,0,0,11,15,2,0,0,0,0,7,16,16,7,0,0,0,3,15,16,16,4,0,0,6,16,16,16,16,3,0,0,3,8,6,16,16,0,0,0,0,0,4,16,16,0,0,0,0,0,4,16,16,4,0,0,0,0,1,13,16,3,0,1
0,0,3,12,15,4,0,0,0,0,14,12,13,14,2,0,0,1,16,0,8,16,10,0,0,5,15,13,16,16,8,0,0,1,8,9,11,16,5,0,0,0,0,2,15,10,0,0,0,0,0,10,14,2,0,0,0,0,3,14,5,0,0,0,9
0,0,0,10,13,1,0,0,0,0,8,16,12,2,0,0,0,1,15,10,0,0,0,0,0,6,16,7,5,0,0,0,0,2,16,16,16,15,3,0,0,2,16,12,0,7,13,0,0,0,11,10,4,10,16,2,0,0,2,11,15,14,9,0,6
0,0,1,8,16,14,1,0,0,0,11,13,7,15,7,0,0,2,15,2,0,9,12,0,0,6,15,9,13,16,8,0,0,0,6,12,13,16,2,0,0,0,0,0,12,10,0,0,0,0,0,8,15,1,0,0,0,0,0,13,7,0,0,0,9
0,0,2,12,15,2,0,0,0,0,8,14,4,1,0,0,0,0,15,7,0,0,0,0,0,2,16,6,4,2,0,0,0,3,16,16,15,15,4,0,0,2,15,11,0,4,14,0,0,0,11,9,0,3,16,0,0,0,2,13,16,16,12,0,6
0,0,4,12,14,9,1,0,0,1,16,13,9,16,7,0,0,7,16,1,4,16,4,0,0,8,13,4,12,16,4,0,0,2,14,14,16,9,0,0,0,0,0,7,16,2,0,0,0,0,1,14,11,0,0,0,0,0,4,16,5,0,0,0,9
0,1,11,13,13,12,7,0,0,2,16,6,4,10,9,0,0,2,16,2,0,0,0,0,0,4,16,16,16,4,0,0,0,1,10,5,7,12,0,0,0,0,0,0,5,11,0,0,0,0,1,5,14,3,0,0,0,0,15,14,7,0,0,0,5
0,0,0,11,11,0,0,0,0,0,3,16,7,8,11,0,0,0,14,14,0,16,12,0,0,7,16,7,9,16,9,0,0,8,16,16,16,16,11,0,0,1,4,10,16,8,0,0,0,0,0,9,15,0,0,0,0,0,0,9,11,0,0,0,4
0,0,11,10,8,14,10,0,0,1,16,14,12,12,7,0,0,0,16,8,0,0,0,0,0,5,16,16,10,2,0,0,0,2,8,8,12,15,1,0,0,0,0,0,5,16,3,0,0,0,5,9,16,10,0,0,0,2,12,12,4,0,0,0,5
0,0,0,7,14,15,3,0,0,0,11,16,9,15,10,0,0,5,14,3,4,14,10,0,0,7,15,10,16,16,4,0,0,2,11,11,10,16,1,0,0,0,0,0,11,11,0,0,0,0,0,5,16,7,0,0,0,0,0,10,15,0,0,0,9
0,1,13,11,11,13,5,0,0,8,16,9,8,8,1,0,0,4,16,0,0,0,0,0,0,4,16,16,14,6,0,0,0,2,11,8,9,16,4,0,0,0,0,0,0,12,8,0,0,0,1,5,8,15,6,0,0,2,14,12,12,6,0,0,5
0,1,13,16,16,16,4,0,0,0,11,12,13,16,4,0,0,0,0,0,13,11,0,0,0,0,11,16,16,16,7,0,0,0,11,15,14,13,8,0,0,0,0,16,7,0,0,0,0,0,9,16,1,0,0,0,0,0,14,10,0,0,0,0,7
0,0,0,0,13,12,1,0,0,0,0,5,16,16,1,0,0,0,0,14,16,14,0,0,0,0,7,16,16,10,0,0,0,5,16,16,16,14,0,0,0,2,6,9,16,16,1,0,0,0,0,2,16,16,7,0,0,0,0,0,8,12,6,0,1
0,0,4,10,16,9,0,0,0,4,15,9,8,12,0,0,0,4,4,0,8,10,0,0,0,0,0,6,16,13,1,0,0,0,0,9,10,12,7,0,0,0,0,0,0,10,7,0,0,0,1,6,10,16,3,0,0,0,4,14,10,2,0,0,3
0,0,5,9,12,12,2,0,0,0,7,10,10,16,5,0,0,0,0,0,6,13,0,0,0,0,7,9,14,14,6,0,0,0,8,14,15,8,2,0,0,0,0,11,7,0,0,0,0,0,6,15,0,0,0,0,0,0,11,7,0,0,0,0,7
0,0,4,11,15,4,0,0,0,3,15,15,10,16,0,0,0,8,15,2,0,14,4,0,0,7,13,0,0,10,8,0,0,7,12,0,0,13,4,0,0,1,15,4,1,15,2,0,0,0,10,12,11,12,0,0,0,0,2,11,13,2,0,0,0
0,0,8,13,7,0,0,0,0,5,16,9,15,6,0,0,0,5,8,0,7,13,0,0,0,2,4,0,1,15,0,0,0,0,0,0,4,13,0,0,0,0,0,0,10,10,0,0,0,0,5,12,16,9,8,1,0,0,8,13,14,15,16,4,2
0,0,0,11,13,1,0,0,0,2,7,16,11,11,0,0,0,8,16,8,0,9,1,0,0,7,12,7,0,4,5,0,0,3,9,0,0,4,9,0,0,1,12,1,0,10,7,0,0,0,7,11,10,15,0,0,0,0,1,11,13,5,0,0,0
0,0,0,2,14,8,0,0,0,0,0,8,14,2,6,0,0,0,3,15,7,6,16,2,0,1,13,12,1,12,11,0,0,11,16,16,16,16,10,0,0,5,10,8,13,15,3,0,0,0,0,0,14,12,0,0,0,0,0,4,16,7,0,0,4
0,0,1,12,16,12,2,0,0,0,8,12,11,16,4,0,0,5,16,3,12,13,1,0,0,2,15,15,15,3,0,0,0,0,5,16,15,6,0,0,0,0,6,13,8,16,6,0,0,0,6,13,4,13,12,0,0,0,1,14,16,11,2,0,8
0,0,9,13,6,0,0,0,0,5,16,9,14,1,0,0,0,9,9,0,11,5,0,0,0,1,1,0,10,6,0,0,0,0,0,0,15,4,0,0,0,0,0,5,15,0,0,0,0,0,5,15,11,8,8,0,0,0,8,16,12,12,15,4,2
0,0,6,15,16,11,3,0,0,0,12,8,8,14,9,0,0,0,0,0,3,16,4,0,0,0,0,5,16,13,1,0,0,0,0,8,12,14,7,0,0,0,0,0,3,15,2,0,0,0,2,9,15,8,0,0,0,0,10,9,2,0,0,0,3
0,0,6,7,8,9,9,0,0,5,16,16,14,13,3,0,0,5,10,7,3,0,0,0,0,5,16,16,13,0,0,0,0,0,0,0,12,1,0,0,0,0,0,0,13,1,0,0,0,0,8,11,12,0,0,0,0,0,10,11,2,0,0,0,5
0,1,8,14,16,6,0,0,0,9,15,10,13,10,0,0,0,1,2,7,16,5,0,0,0,0,4,16,9,0,0,0,0,0,4,16,11,2,0,0,0,0,0,4,13,16,9,0,0,1,8,4,4,13,13,0,0,0,9,14,16,13,7,0,3
0,2,12,13,12,2,0,0,0,2,7,5,15,7,0,0,0,0,0,9,16,2,0,0,0,4,16,14,3,0,0,0,0,2,12,16,14,5,0,0,0,0,0,1,6,15,4,0,0,0,1,0,2,13,6,0,0,4,13,15,16,12,1,0,3
0,0,0,6,14,0,0,0,0,0,3,15,9,0,0,0,0,0,14,14,0,7,10,0,0,8,16,8,0,14,15,1,0,12,16,12,10,16,10,0,0,5,14,16,16,15,2,0,0,0,0,4,16,6,0,0,0,0,0,8,14,0,0,0,4
0,0,7,15,11,0,0,0,0,9,10,14,15,12,0,0,0,9,12,0,0,4,1,0,0,7,16,14,9,0,0,0,0,0,7,13,16,6,0,0,0,0,0,0,12,9,0,0,0,0,11,10,16,8,0,0,0,0,5,16,14,3,0,0,5
0,1,12,14,4,0,0,0,0,7,15,7,9,0,0,0,0,6,15,1,3,0,0,0,0,1,14,9,5,9,6,0,0,0,3,16,15,5,2,0,0,2,15,13,15,0,0,0,0,7,14,4,14,3,0,0,0,0,11,14,11,0,0,0,8
0,0,1,7,16,2,0,0,0,0,14,13,12,10,1,0,0,3,14,0,3,16,4,0,0,1,15,16,15,16,0,0,0,0,2,7,2,10,3,0,0,0,0,0,0,11,2,0,0,0,0,9,2,10,4,0,0,0,0,9,16,12,1,0,9
0,0,0,11,6,0,0,0,0,0,0,15,10,0,0,0,0,0,5,16,2,0,0,0,0,0,8,13,0,0,0,0,0,0,10,12,5,7,1,0,0,0,9,16,12,12,15,2,0,0,7,15,6,9,15,8,0,0,1,10,15,15,10,0,6
0,0,5,11,8,4,0,0,0,0,15,16,16,15,1,0,0,0,12,16,16,15,2,0,0,3,16,16,16,11,0,0,0,4,16,16,16,4,0,0,0,3,16,16,16,8,0,0,0,0,12,16,16,9,0,0,0,0,3,8,12,8,0,0,1
0,2,15,15,5,0,0,0,0,4,13,10,16,0,0,0,0,0,4,4,16,0,0,0,0,0,0,2,15,0,0,0,0,0,0,9,10,0,0,0,0,0,3,15,3,0,0,0,0,1,13,14,8,8,6,0,0,2,13,12,10,9,6,0,2
0,0,9,15,3,0,0,0,0,1,15,16,15,5,0,0,0,3,16,8,9,14,0,0,0,4,13,0,0,10,4,0,0,3,13,0,0,7,6,0,0,2,12,0,0,10,10,0,0,1,12,9,13,16,6,0,0,0,7,16,16,8,0,0,0
0,0,7,11,11,2,0,0,0,0,16,16,15,13,0,0,0,3,15,7,0,10,3,0,0,3,12,0,0,5,7,0,0,7,9,0,0,10,6,0,0,4,13,0,3,15,6,0,0,2,15,12,15,14,0,0,0,0,7,16,12,2,0,0,0
0,0,1,14,4,0,0,0,0,0,6,15,2,0,0,0,0,0,12,8,0,0,0,0,0,0,12,4,0,0,0,0,0,2,16,13,12,9,0,0,0,5,16,11,8,15,10,0,0,0,13,9,4,9,11,0,0,0,3,11,14,13,4,0,6
0,0,9,16,15,2,0,0,0,4,16,13,15,11,0,0,0,6,10,0,14,10,0,0,0,0,0,4,16,4,0,0,0,0,0,10,14,0,0,0,0,0,5,15,4,0,0,0,0,0,14,14,11,12,5,0,0,0,12,16,16,11,3,0,2
0,0,11,16,16,16,7,0,0,0,9,8,8,16,13,0,0,0,0,0,2,16,10,0,0,0,2,4,12,16,4,0,0,0,15,16,16,16,10,0,0,0,5,14,10,4,0,0,0,0,6,16,0,0,0,0,0,0,12,11,0,0,0,0,7
0,0,0,12,6,0,0,0,0,0,3,16,1,0,0,0,0,0,6,13,0,0,0,0,0,0,10,9,0,0,0,0,0,0,13,8,8,3,0,0,0,1,16,12,8,12,8,0,0,0,8,12,1,0,14,3,0,0,0,8,14,16,12,3,6
0,0,0,5,15,1,0,0,0,0,1,14,12,0,0,0,0,1,12,15,0,3,13,1,0,7,16,4,0,11,15,0,0,14,13,0,4,16,5,0,0,14,16,16,16,11,0,0,0,2,8,13,16,3,0,0,0,0,0,7,16,2,0,0,4
0,0,0,9,7,0,0,0,0,0,4,16,5,0,0,0,0,0,8,13,0,0,0,0,0,0,13,8,0,0,0,0,0,2,15,7,8,7,1,0,0,1,15,11,8,10,13,0,0,0,11,10,4,5,15,2,0,0,0,9,12,13,9,0,6
0,0,3,16,11,1,0,0,0,0,12,16,16,2,0,0,0,3,16,16,11,0,0,0,0,5,16,16,7,0,0,0,0,6,16,16,5,0,0,0,0,1,16,16,3,0,0,0,0,0,11,16,9,0,0,0,0,0,4,12,14,12,5,0,1
0,0,5,11,12,5,0,0,0,0,9,16,16,11,0,0,0,0,11,16,16,4,0,0,0,1,16,16,15,2,0,0,0,0,14,16,11,0,0,0,0,2,16,16,8,0,0,0,0,0,14,16,8,0,0,0,0,0,8,16,13,1,0,0,1
0,0,0,1,14,2,0,0,0,0,0,10,13,0,1,0,0,0,6,13,2,6,9,0,0,1,15,4,0,13,6,0,0,6,14,6,7,16,2,0,0,1,9,13,16,14,5,0,0,0,0,0,16,2,0,0,0,0,0,0,14,0,0,0,4
0,2,12,16,15,8,0,0,0,13,16,13,8,12,2,0,0,16,13,1,0,0,0,0,0,9,16,13,5,0,0,0,0,1,11,13,14,2,0,0,0,0,0,0,16,8,0,0,0,0,3,11,16,5,0,0,0,0,14,16,10,1,0,0,5
0,0,6,14,14,4,0,0,0,0,13,15,11,13,0,0,0,0,2,2,2,16,1,0,0,0,0,0,3,14,1,0,0,0,0,0,9,11,0,0,0,0,0,4,16,3,0,0,0,0,4,15,16,16,14,2,0,0,7,13,12,9,9,3,2
0,0,7,14,1,0,0,0,0,0,14,13,6,0,0,0,0,0,12,8,3,0,0,0,0,0,3,14,12,16,6,0,0,0,2,14,16,4,0,0,0,0,11,14,8,14,2,0,0,3,16,3,1,16,4,0,0,0,8,14,16,11,1,0,8
0,0,0,10,7,0,0,0,0,0,1,16,5,0,0,0,0,0,0,15,2,7,4,0,0,0,0,11,16,14,4,0,0,1,12,16,15,1,0,0,0,7,16,4,16,1,0,0,0,1,12,9,16,4,0,0,0,0,1,11,15,2,0,0,8
0,0,1,8,16,4,0,0,0,0,13,10,5,8,0,0,0,1,16,5,10,15,2,0,0,1,11,13,11,14,4,0,0,0,0,0,0,8,8,0,0,0,0,0,0,8,5,0,0,0,0,5,0,13,4,0,0,0,0,12,16,10,0,0,9
0,2,10,15,14,9,2,0,0,4,11,4,5,14,8,0,0,0,0,0,8,16,3,0,0,0,0,6,14,3,0,0,0,0,0,8,16,7,0,0,0,0,0,0,7,16,1,0,0,2,4,4,7,15,1,0,0,3,12,14,12,6,0,0,3
0,0,5,13,1,0,0,0,0,0,13,16,7,1,0,0,0,1,16,16,16,13,1,0,0,2,16,10,0,12,5,0,0,2,16,0,0,3,10,0,0,2,15,0,0,6,14,0,0,0,14,5,8,16,9,0,0,0,4,13,15,7,0,0,0
0,1,10,16,15,0,0,0,0,7,15,5,8,0,0,0,0,10,12,0,0,0,0,0,0,4,16,4,2,9,5,0,0,0,10,15,15,15,8,0,0,0,12,16,13,1,0,0,0,3,16,13,16,1,0,0,0,0,12,16,14,1,0,0,8
0,0,0,5,16,1,0,0,0,0,1,16,10,0,0,0,0,0,13,13,1,3,8,0,0,6,16,3,0,13,14,0,0,13,16,3,5,16,5,0,0,15,16,16,16,15,0,0,0,1,7,11,16,6,0,0,0,0,0,7,15,3,0,0,4
0,1,11,16,16,7,0,0,0,0,8,7,12,12,0,0,0,0,0,0,12,8,0,0,0,0,0,2,14,4,0,0,0,1,13,16,16,11,4,0,0,1,12,16,10,8,3,0,0,0,11,11,0,0,0,0,0,3,16,5,0,0,0,0,7
0,0,0,11,11,0,0,0,0,0,3,16,7,0,0,0,0,0,6,15,1,0,0,0,0,0,7,12,0,0,0,0,0,0,12,13,8,7,0,0,0,1,16,12,8,11,12,0,0,0,8,13,4,7,16,1,0,0,2,11,13,12,7,0,6
0,0,7,15,14,4,0,0,0,0,13,13,10,11,0,0,0,0,0,1,0,15,1,0,0,0,0,0,1,16,0,0,0,0,0,0,6,14,0,0,0,0,0,4,15,8,0,0,0,0,5,14,16,16,9,0,0,0,5,11,7,4,9,2,2
0,0,9,16,12,1,0,0,0,10,16,10,15,4,0,0,0,8,6,0,8,7,0,0,0,0,0,0,8,10,0,0,0,0,0,1,14,5,0,0,0,0,0,10,15,1,1,0,0,0,10,16,14,14,11,0,0,0,8,15,14,10,3,0,2
0,0,0,9,14,0,0,0,0,0,6,16,8,0,0,0,0,0,14,14,0,6,15,0,0,9,16,3,3,16,10,0,0,13,16,4,11,15,1,0,0,13,16,16,16,12,2,0,0,2,4,10,16,2,0,0,0,0,0,9,15,2,0,0,4
0,0,0,11,3,0,0,0,0,0,5,16,2,0,0,0,0,0,12,11,0,0,0,0,0,0,14,5,0,0,0,0,0,0,16,3,1,1,0,0,0,0,16,16,16,16,11,0,0,0,12,8,4,6,16,2,0,0,2,11,15,16,11,1,6
0,0,0,7,15,1,0,0,0,0,2,14,10,0,2,0,0,0,10,12,1,2,15,3,0,5,16,3,0,9,14,0,0,14,12,2,2,16,5,0,0,14,16,16,16,16,1,0,0,5,8,12,16,4,0,0,0,0,0,9,16,6,0,0,4
0,0,0,3,16,3,0,0,0,0,0,9,16,2,0,0,0,0,2,14,9,5,6,0,0,0,8,15,2,15,12,0,0,4,16,6,3,16,5,0,0,11,16,13,16,16,8,0,0,5,11,13,16,10,1,0,0,0,0,4,16,7,0,0,4
0,0,4,14,14,4,0,0,0,5,14,3,1,4,0,0,0,8,12,0,2,2,0,0,0,4,15,12,16,16,8,0,0,0,14,16,9,0,0,0,0,4,16,11,15,2,0,0,0,2,15,8,12,12,0,0,0,0,4,12,16,10,0,0,8
0,1,10,16,15,1,0,0,0,5,16,13,16,4,0,0,0,5,9,3,16,2,0,0,0,0,0,10,10,0,0,0,0,0,2,15,6,0,0,0,0,0,9,12,1,0,0,0,0,0,12,14,10,4,0,0,0,0,11,16,16,16,2,0,2
0,0,2,13,10,4,0,0,0,0,0,16,16,11,0,0,0,0,0,13,16,15,0,0,0,0,1,14,16,11,0,0,0,0,4,16,16,6,0,0,0,0,3,16,14,2,0,0,0,0,7,16,16,3,0,0,0,0,4,13,16,4,0,0,1
0,0,11,16,16,9,0,0,0,2,16,12,16,11,0,0,0,1,3,1,16,8,0,0,0,0,0,12,14,2,0,0,0,0,3,16,8,0,0,0,0,0,11,15,0,0,0,0,0,0,13,15,12,12,4,0,0,0,13,16,16,15,2,0,2
0,1,10,16,16,14,1,0,0,1,11,5,4,15,0,0,0,0,0,0,6,10,0,0,0,0,1,13,12,1,0,0,0,0,2,15,16,12,1,0,0,0,0,0,3,14,4,0,0,1,6,0,2,14,3,0,0,2,12,16,15,8,0,0,3
0,0,9,11,1,0,0,0,0,4,16,14,9,0,0,0,0,1,6,3,13,0,0,0,0,0,0,3,14,0,0,0,0,0,0,5,13,0,0,0,0,0,0,14,10,3,0,0,0,0,11,16,16,16,14,2,0,0,6,9,7,4,8,6,2
0,0,13,13,12,12,2,0,0,0,14,16,16,14,3,0,0,0,10,16,5,0,0,0,0,0,1,10,14,1,0,0,0,0,0,2,16,4,0,0,0,0,0,0,12,8,0,0,0,0,4,6,15,5,0,0,0,1,15,16,15,1,0,0,5
0,0,5,11,13,10,0,0,0,0,8,9,9,16,5,0,0,0,0,0,0,14,7,0,0,0,0,0,1,16,1,0,0,0,3,4,12,9,1,0,0,10,16,16,14,12,2,0,0,3,2,15,2,0,0,0,0,0,8,6,0,0,0,0,7
0,0,7,16,11,0,0,0,0,5,15,12,16,3,0,0,0,6,16,14,16,7,0,0,0,1,8,12,16,8,0,0,0,0,0,0,6,15,2,0,0,0,0,0,0,16,7,0,0,0,0,0,2,13,8,0,0,0,8,16,16,14,4,0,9
0,0,4,15,14,1,0,0,0,2,16,14,16,9,0,0,0,5,16,1,10,16,0,0,0,4,16,16,16,16,1,0,0,0,9,12,10,16,6,0,0,0,0,0,0,13,7,0,0,0,3,6,5,14,8,0,0,0,6,16,16,15,2,0,9
0,0,9,15,13,5,1,0,0,2,16,13,9,12,3,0,0,8,12,0,0,0,0,0,0,2,16,15,6,0,0,0,0,0,1,8,15,3,0,0,0,0,0,0,6,11,0,0,0,0,5,6,12,10,0,0,0,1,10,13,10,1,0,0,5
0,0,7,16,12,5,0,0,0,0,7,16,16,7,0,0,0,0,3,16,16,8,0,0,0,0,5,16,16,7,0,0,0,0,11,16,15,2,0,0,0,0,14,16,14,0,0,0,0,0,14,16,16,3,0,0,0,0,6,13,14,5,0,0,1
0,0,6,12,14,11,0,0,0,1,11,8,10,14,0,0,0,0,0,0,12,9,0,0,0,0,0,11,10,0,0,0,0,0,0,10,16,13,1,0,0,0,0,0,7,15,5,0,0,0,4,4,5,14,3,0,0,0,10,15,12,8,0,0,3
0,0,4,15,11,0,0,0,0,1,15,6,14,3,0,0,0,3,14,8,14,10,0,0,0,1,9,12,7,13,0,0,0,0,0,0,0,14,2,0,0,0,0,0,0,13,4,0,0,0,7,4,3,13,4,0,0,0,7,13,15,9,0,0,9
0,1,11,16,9,0,0,0,0,10,14,9,13,2,0,0,0,4,3,0,12,4,0,0,0,0,0,0,12,3,0,0,0,0,0,5,15,0,0,0,0,0,2,13,10,0,0,0,0,1,16,16,9,10,7,0,0,0,10,13,12,10,9,0,2
0,0,13,16,14,6,0,0,0,3,16,14,12,15,2,0,0,7,16,2,0,0,0,0,0,12,16,10,6,0,0,0,0,6,16,16,16,6,0,0,0,0,0,1,10,13,0,0,0,0,1,4,13,14,0,0,0,0,12,16,16,10,0,0,5
0,0,3,15,7,0,0,0,0,0,13,16,10,0,0,0,0,5,16,7,5,3,0,0,0,5,16,8,16,15,2,0,0,2,12,1,6,8,10,0,0,1,14,2,0,0,13,0,0,0,9,15,12,15,16,0,0,0,2,10,15,16,7,0,0
0,0,0,4,16,4,0,0,0,0,0,3,16,6,0,0,0,0,0,10,14,1,9,2,0,0,3,15,4,9,15,0,0,3,15,9,3,14,10,0,2,15,16,15,16,16,3,0,1,10,9,9,16,10,0,0,0,0,0,5,16,2,0,0,4
0,0,6,16,16,12,0,0,0,0,8,9,13,16,2,0,0,0,0,0,4,16,1,0,0,0,1,5,12,12,0,0,0,0,13,16,16,16,7,0,0,0,8,14,12,10,3,0,0,0,3,16,3,0,0,0,0,0,9,11,0,0,0,0,7
0,1,14,13,16,12,1,0,0,9,16,13,7,8,1,0,0,10,16,11,7,0,0,0,0,1,13,16,16,6,0,0,0,0,0,0,5,12,0,0,0,0,0,0,5,11,0,0,0,0,1,6,15,9,0,0,0,0,13,15,8,1,0,0,5
0,0,3,15,13,1,0,0,0,0,13,14,11,4,0,0,0,0,14,11,3,1,0,0,0,0,4,16,12,16,6,0,0,0,5,16,16,6,0,0,0,3,16,9,11,11,0,0,0,3,16,6,2,16,4,0,0,0,6,13,14,9,0,0,8
0,0,4,10,16,14,4,0,0,0,10,16,16,16,4,0,0,0,16,16,16,8,0,0,0,0,16,16,16,0,0,0,0,0,16,16,16,0,0,0,0,4,16,16,16,0,0,0,0,0,16,16,16,0,0,0,0,0,6,14,14,0,0,0,1
0,0,5,8,0,0,0,0,0,0,12,16,13,7,0,0,0,0,15,15,13,16,3,0,0,3,15,0,0,10,6,0,0,3,13,0,0,7,9,0,0,4,16,0,1,12,12,0,0,1,15,12,14,16,9,0,0,0,6,14,14,9,1,0,0
0,2,14,16,9,0,0,0,0,8,16,13,16,3,0,0,0,10,9,5,16,2,0,0,0,1,0,8,14,0,0,0,0,0,0,14,10,0,0,0,0,0,5,16,5,0,0,0,0,3,16,16,11,6,1,0,0,2,13,16,16,16,12,0,2
0,0,0,7,16,2,0,0,0,0,3,15,10,0,0,0,0,1,13,14,2,3,9,0,0,9,16,7,0,14,14,0,0,13,16,0,5,16,8,0,0,14,16,16,16,15,2,0,0,0,4,7,16,6,0,0,0,0,0,8,15,0,0,0,4
0,1,9,15,13,0,0,0,0,6,16,16,16,2,0,0,0,3,8,8,16,4,0,0,0,0,0,12,13,0,0,0,0,0,1,16,9,0,0,0,0,0,9,16,2,0,0,0,0,0,12,14,10,8,1,0,0,0,13,16,16,16,5,0,2
0,0,6,11,0,0,0,0,0,1,15,12,2,4,0,0,0,5,12,3,16,16,4,0,0,5,9,0,8,7,8,0,0,8,8,0,0,4,8,0,0,7,9,0,0,4,9,0,0,0,15,8,9,15,7,0,0,0,6,16,16,9,0,0,0
0,0,6,13,16,12,1,0,0,3,16,11,8,9,1,0,0,3,16,5,2,8,5,0,0,1,13,14,16,16,6,0,0,0,5,16,16,3,0,0,0,0,14,12,13,10,0,0,0,0,15,11,10,14,0,0,0,0,4,15,16,7,0,0,8
0,0,0,5,15,0,0,0,0,0,0,11,11,0,0,0,0,0,1,16,4,4,6,0,0,0,13,12,1,15,7,0,0,2,16,2,8,14,2,0,0,12,16,15,16,15,0,0,0,5,8,10,16,2,0,0,0,0,0,3,11,2,0,0,4
0,0,2,14,16,11,0,0,0,0,11,15,12,10,2,0,0,1,15,3,0,0,0,0,0,1,16,5,0,0,0,0,0,0,12,16,7,0,0,0,0,0,0,9,16,7,0,0,0,0,3,10,15,12,0,0,0,0,3,16,15,7,0,0,5
0,0,0,12,15,9,11,6,0,0,0,5,10,13,16,2,0,0,0,0,0,9,9,0,0,0,0,4,10,16,2,0,0,0,8,16,16,16,5,0,0,0,3,8,14,2,0,0,0,0,0,11,9,0,0,0,0,0,0,12,1,0,0,0,7
0,0,6,9,0,0,0,0,0,0,7,16,10,13,7,0,0,0,1,8,16,14,1,0,0,0,0,1,13,7,0,0,0,0,12,16,16,10,1,0,0,0,3,15,10,8,2,0,0,0,2,16,2,0,0,0,0,0,4,13,0,0,0,0,7
0,0,0,0,6,15,12,0,0,0,1,11,14,13,15,0,0,1,12,10,0,11,7,0,0,5,15,1,3,16,3,0,0,5,16,13,15,14,0,0,0,0,4,4,11,13,0,0,0,0,0,0,8,13,0,0,0,0,0,0,8,8,0,0,9
0,0,0,13,9,10,14,2,0,0,0,11,12,15,12,0,0,0,0,0,0,14,3,0,0,1,4,4,7,15,1,0,0,7,16,16,16,12,6,0,0,2,4,8,11,0,0,0,0,0,0,11,6,0,0,0,0,0,0,13,7,0,0,0,7
0,1,13,13,1,0,0,0,0,9,16,16,7,0,0,0,0,5,5,13,8,0,0,0,0,0,2,16,6,0,0,0,0,0,11,15,1,0,0,0,0,4,16,8,1,0,0,0,0,4,16,16,16,16,6,0,0,1,11,14,16,16,11,0,2
0,0,0,8,14,10,0,0,0,0,2,14,16,14,0,0,0,0,12,16,16,14,2,0,0,5,16,16,16,12,1,0,0,1,4,10,16,14,0,0,0,0,0,9,16,12,0,0,0,0,0,9,16,12,0,0,0,0,0,8,15,12,0,0,1
0,0,0,8,16,10,8,12,0,0,0,12,16,16,16,11,0,0,0,0,0,14,14,0,0,0,0,1,8,16,11,0,0,0,1,15,16,16,7,0,0,0,2,9,16,8,0,0,0,0,0,7,16,3,0,0,0,0,0,10,12,0,0,0,7
0,0,3,11,2,7,13,0,0,0,3,13,16,16,7,0,0,0,0,0,5,13,0,0,0,0,0,0,9,7,0,0,0,8,16,16,16,16,2,0,0,2,4,12,11,1,0,0,0,0,0,15,5,0,0,0,0,0,3,16,3,0,0,0,7
0,0,0,0,15,7,0,0,0,0,0,7,16,4,0,0,0,0,1,15,11,1,5,0,0,2,14,12,1,12,13,0,0,7,16,11,8,16,11,0,0,12,16,16,16,16,3,0,0,1,8,5,14,15,0,0,0,0,0,0,13,12,0,0,4
0,0,0,1,13,8,0,0,0,0,0,9,16,15,0,0,0,0,5,16,16,12,0,0,0,2,15,16,16,10,0,0,0,8,14,3,16,10,0,0,0,0,0,4,16,8,0,0,0,0,0,4,16,11,0,0,0,0,0,0,15,12,0,0,1
0,0,0,3,11,16,11,0,0,0,6,16,11,16,7,0,0,0,14,8,0,15,1,0,0,8,16,4,12,11,0,0,0,1,11,15,16,11,0,0,0,0,0,0,15,5,0,0,0,0,0,0,16,6,0,0,0,0,0,2,16,5,0,0,9
0,1,11,16,7,0,0,0,0,8,16,15,10,0,0,0,0,12,8,12,11,0,0,0,0,2,0,15,7,0,0,0,0,0,8,14,0,0,0,0,0,0,13,12,0,3,3,0,0,5,16,13,14,16,16,1,0,0,16,16,15,10,5,0,2
0,0,2,9,0,0,0,0,0,0,11,8,0,0,0,0,0,1,16,0,0,0,0,0,0,4,11,0,0,0,0,0,0,7,8,3,8,3,0,0,0,6,11,13,16,16,4,0,0,0,14,16,7,12,12,0,0,0,3,14,16,14,6,0,6
0,0,0,2,9,16,3,0,0,0,2,14,15,16,2,0,0,0,11,10,7,9,0,0,0,1,16,4,11,5,0,0,0,0,14,16,16,10,0,0,0,0,0,1,14,11,0,0,0,0,0,0,14,7,0,0,0,0,0,0,14,3,0,0,9
0,0,0,9,13,1,0,0,0,0,3,15,7,1,0,0,0,0,8,10,0,0,0,0,0,0,13,5,0,0,0,0,0,0,14,16,12,3,0,0,0,0,13,10,7,15,1,0,0,0,5,12,2,11,7,0,0,0,0,8,16,16,4,0,6
0,0,0,1,8,15,12,0,0,0,2,14,13,16,5,0,0,0,9,14,9,9,0,0,0,0,8,16,16,15,2,0,0,0,0,2,10,14,1,0,0,0,0,0,10,12,0,0,0,0,0,0,12,7,0,0,0,0,0,0,11,1,0,0,9
0,0,2,15,7,0,0,0,0,0,7,16,6,0,0,0,0,0,14,15,1,3,1,0,0,5,16,7,3,16,8,0,0,13,15,0,10,16,4,0,0,13,16,16,16,15,0,0,0,2,6,15,15,5,0,0,0,0,4,15,4,0,0,0,4
0,0,0,0,5,14,8,0,0,0,1,10,13,13,11,0,0,0,11,9,2,14,6,0,0,4,16,9,12,16,3,0,0,0,6,4,4,15,4,0,0,0,0,0,0,16,4,0,0,0,0,0,0,15,3,0,0,0,0,0,2,15,0,0,9
0,0,6,16,12,1,0,0,0,0,15,14,14,13,0,0,0,2,16,6,5,16,2,0,0,0,15,4,2,16,6,0,0,1,16,5,1,16,6,0,0,2,16,2,11,14,1,0,0,0,16,5,15,5,0,0,0,0,7,16,7,0,0,0,0
0,1,6,8,11,16,6,0,0,5,16,16,12,9,4,0,0,8,13,1,0,0,0,0,0,6,16,11,4,0,0,0,0,0,7,12,16,10,0,0,0,0,0,0,7,12,0,0,0,0,1,5,14,11,0,0,0,0,9,15,9,1,0,0,5
0,0,8,12,8,8,10,0,0,0,5,10,13,16,8,0,0,0,0,0,5,11,0,0,0,2,8,12,15,12,2,0,0,8,12,15,12,8,4,0,0,0,2,13,2,0,0,0,0,0,8,11,0,0,0,0,0,0,10,5,0,0,0,0,7
0,0,6,16,13,4,0,0,0,0,10,8,8,13,0,0,0,0,0,0,6,11,0,0,0,0,3,7,14,2,0,0,0,2,16,13,15,6,0,0,0,0,3,0,6,14,0,0,0,0,3,4,5,14,0,0,0,0,9,16,12,4,0,0,3
0,0,4,12,15,8,0,0,0,4,15,10,10,12,0,0,0,13,10,2,16,4,0,0,0,6,12,15,9,0,0,0,0,0,2,16,13,3,0,0,0,0,10,9,6,13,1,0,0,0,10,9,0,10,8,0,0,0,2,13,16,14,5,0,8
0,0,0,0,9,15,0,0,0,0,0,4,16,6,0,0,0,0,0,13,12,0,0,0,0,0,10,14,1,12,6,0,0,4,16,6,0,16,12,0,0,13,15,12,16,16,9,0,0,13,16,15,13,16,5,0,0,1,4,0,9,12,0,0,4
0,0,1,13,15,7,0,0,0,0,9,14,9,15,1,0,0,2,16,5,0,10,4,0,0,5,13,5,0,4,8,0,0,8,8,0,0,7,8,0,0,3,14,1,0,9,7,0,0,0,13,13,9,16,4,0,0,0,3,13,16,10,0,0,0
0,2,12,14,12,1,0,0,0,7,13,6,14,5,0,0,0,0,0,3,15,3,0,0,0,2,15,16,14,1,0,0,0,1,6,5,12,13,0,0,0,0,0,0,1,14,6,0,0,4,8,4,5,14,8,0,0,2,13,16,15,9,1,0,3
0,0,0,0,5,15,1,0,0,0,0,0,14,16,2,0,0,0,1,12,16,16,2,0,0,1,13,16,12,16,0,0,0,4,13,2,8,13,0,0,0,0,0,0,9,13,0,0,0,0,0,0,11,16,0,0,0,0,0,0,4,16,4,0,1
0,0,7,12,12,10,2,0,0,1,16,15,12,15,9,0,0,0,16,7,0,1,2,0,0,0,11,16,10,1,0,0,0,0,0,3,14,13,1,0,0,0,0,0,3,16,1,0,0,0,8,7,15,12,0,0,0,0,11,12,6,0,0,0,5
0,0,5,15,15,5,0,0,0,2,15,5,3,13,0,0,0,3,9,0,6,10,0,0,0,4,8,3,13,1,0,0,0,3,14,14,6,0,0,0,0,0,7,12,14,11,1,0,0,0,12,5,1,13,9,0,0,0,5,12,14,10,1,0,8
0,0,6,12,14,10,0,0,0,4,16,13,10,13,0,0,0,8,9,0,0,0,0,0,0,6,14,10,7,0,0,0,0,0,8,9,15,11,0,0,0,0,0,0,1,14,7,0,0,0,4,8,8,15,5,0,0,0,5,16,12,6,0,0,5
0,0,0,1,11,14,10,0,0,0,6,14,7,10,13,0,0,0,15,3,1,14,5,0,0,0,15,11,9,16,5,0,0,0,3,8,7,16,4,0,0,0,0,0,2,11,0,0,0,0,0,0,10,10,0,0,0,0,0,0,14,7,0,0,9
0,4,15,14,11,4,0,0,0,2,11,8,14,16,1,0,0,0,0,5,15,9,0,0,0,0,9,16,12,0,0,0,0,0,2,8,15,12,1,0,0,0,0,0,2,16,8,0,0,1,4,4,10,16,5,0,0,4,16,15,11,3,0,0,3
0,0,0,5,0,4,13,5,0,0,6,16,16,16,14,1,0,0,2,6,8,16,2,0,0,0,2,4,12,14,0,0,0,5,15,16,16,16,4,0,0,6,9,11,15,4,0,0,0,0,0,15,9,0,0,0,0,0,0,13,6,0,0,0,7
0,0,7,16,13,6,0,0,0,2,14,5,7,15,2,0,0,3,7,1,10,14,0,0,0,5,14,14,13,1,0,0,0,0,6,16,9,0,0,0,0,0,10,7,13,2,0,0,0,0,14,4,13,4,0,0,0,0,9,14,11,1,0,0,8
0,0,5,10,14,5,0,0,0,4,16,13,13,12,0,0,0,7,10,0,10,7,0,0,0,0,0,6,16,6,0,0,0,0,0,6,14,15,1,0,0,0,0,0,0,11,7,0,0,0,4,8,8,15,7,0,0,0,5,14,12,8,0,0,3
0,0,2,15,13,5,0,0,0,0,5,13,12,15,0,0,0,4,14,13,15,14,0,0,0,8,16,16,15,3,0,0,0,0,13,11,9,12,0,0,0,0,15,2,0,15,1,0,0,0,13,8,4,14,3,0,0,0,2,12,13,12,2,0,8
0,0,4,15,11,2,0,0,0,0,15,15,14,11,0,0,0,2,16,6,0,15,1,0,0,2,16,5,0,11,5,0,0,2,16,4,0,7,9,0,0,0,15,2,0,10,9,0,0,0,11,13,9,16,4,0,0,0,2,10,16,10,0,0,0
0,0,1,11,15,8,0,0,0,0,11,11,4,16,0,0,0,6,11,1,3,13,0,0,0,3,14,6,14,2,0,0,0,0,2,16,10,0,0,0,0,0,4,11,10,7,0,0,0,0,5,8,5,13,0,0,0,0,1,12,16,5,0,0,8
0,0,1,8,13,10,2,0,0,0,11,16,13,13,3,0,0,4,15,0,0,0,0,0,0,3,15,7,1,0,0,0,0,0,8,15,15,7,0,0,0,0,0,2,10,16,2,0,0,0,2,7,8,16,4,0,0,0,2,15,12,7,0,0,5
0,0,7,14,16,8,0,0,0,0,5,10,13,7,0,0,0,0,0,0,13,3,0,0,0,0,4,8,16,8,4,0,0,2,16,16,13,12,4,0,0,1,3,14,2,0,0,0,0,0,2,14,0,0,0,0,0,0,8,13,0,0,0,0,7
0,0,0,6,13,3,0,0,0,0,4,16,13,1,0,0,0,0,13,11,1,0,0,0,0,5,15,1,0,0,0,0,0,5,13,0,0,0,0,0,0,2,16,10,16,13,3,0,0,0,11,16,14,16,15,0,0,0,1,8,13,13,9,0,6
0,0,0,2,9,15,15,0,0,0,4,14,12,9,12,0,0,2,14,6,0,10,10,0,0,6,16,6,7,16,8,0,0,1,13,16,11,15,7,0,0,0,0,0,1,16,3,0,0,0,0,0,7,15,0,0,0,0,0,0,11,9,0,0,9
0,0,0,0,10,12,0,0,0,0,0,0,15,12,0,0,0,0,0,7,16,12,0,0,0,0,9,16,16,11,0,0,0,8,16,11,16,12,0,0,0,3,4,3,16,9,0,0,0,0,0,0,15,10,0,0,0,0,0,0,9,13,0,0,1
0,0,0,0,9,13,0,0,0,0,0,3,15,12,0,0,0,0,2,13,16,14,0,0,0,4,14,14,14,14,0,0,0,5,11,1,9,13,0,0,0,0,0,0,11,11,0,0,0,0,0,0,10,10,0,0,0,0,0,0,9,9,0,0,1
0,0,0,14,8,8,14,0,0,0,1,11,15,16,13,0,0,0,0,0,6,16,3,0,0,3,13,16,16,16,3,0,0,2,8,11,15,9,4,0,0,0,0,10,7,0,0,0,0,0,0,16,5,0,0,0,0,0,0,14,1,0,0,0,7
0,0,6,16,14,3,0,0,0,0,9,5,5,11,0,0,0,0,3,2,3,12,0,0,0,2,15,14,12,3,0,0,0,0,3,15,12,8,0,0,0,0,10,6,0,11,2,0,0,0,13,3,0,9,7,0,0,0,5,14,14,12,4,0,8
0,0,0,0,10,5,0,0,0,0,0,0,16,4,0,0,0,0,0,9,12,4,3,0,0,0,2,15,1,11,8,0,0,0,14,7,0,14,4,0,0,6,16,9,15,15,2,0,0,9,13,8,13,4,0,0,0,0,0,0,9,4,0,0,4
0,2,13,9,1,0,0,0,0,8,15,13,10,0,0,0,0,2,6,1,12,0,0,0,0,0,0,4,12,0,0,0,0,0,0,12,6,0,0,0,0,0,8,12,0,0,0,0,0,2,16,11,14,16,9,0,0,2,15,12,11,5,1,0,2
0,0,6,14,16,5,0,0,0,3,16,10,14,14,0,0,0,3,6,1,13,9,0,0,0,0,2,15,16,11,0,0,0,0,2,12,14,16,2,0,0,0,0,0,1,16,7,0,0,0,6,13,10,15,3,0,0,0,10,16,13,5,0,0,3
0,0,5,13,10,0,0,0,0,1,15,16,16,4,0,0,0,3,11,0,10,7,0,0,0,0,1,0,13,0,0,0,0,0,0,5,11,0,0,0,0,0,3,15,3,0,0,0,0,0,8,16,16,15,2,0,0,0,6,13,12,10,2,0,2
0,0,1,13,16,16,9,0,0,0,13,14,12,12,11,0,0,9,16,5,0,0,0,0,0,9,16,6,2,0,0,0,0,3,15,16,15,3,0,0,0,0,3,11,16,10,0,0,0,0,4,16,16,7,0,0,0,0,0,15,15,2,0,0,5
0,0,0,4,13,6,0,0,0,0,0,11,16,12,0,0,0,0,8,16,16,10,0,0,0,6,16,16,16,6,0,0,0,5,12,12,16,3,0,0,0,0,0,10,15,0,0,0,0,0,0,10,14,0,0,0,0,0,0,5,16,2,0,0,1
0,0,3,0,6,15,0,0,0,9,16,14,16,15,0,0,0,5,7,8,14,11,0,0,0,0,1,4,13,11,2,0,0,0,8,16,16,16,12,0,0,0,1,8,15,11,2,0,0,0,0,0,12,12,0,0,0,0,0,0,8,13,0,0,7
0,0,0,11,4,0,0,0,0,0,6,15,2,0,0,0,0,0,14,7,0,0,0,0,0,3,16,9,12,6,0,0,0,4,16,15,10,12,9,0,0,2,16,9,0,0,12,0,0,0,8,13,2,2,14,2,0,0,0,8,15,15,11,0,6
0,0,3,12,12,1,0,0,0,0,15,15,13,11,0,0,0,3,16,4,0,14,2,0,0,5,15,5,0,5,7,0,0,8,8,0,0,4,8,0,0,4,14,0,0,7,11,0,0,0,14,11,12,16,3,0,0,0,3,14,12,4,0,0,0
0,0,2,10,12,11,1,0,0,0,11,14,9,16,3,0,0,2,16,1,11,11,0,0,0,6,16,15,14,3,0,0,0,0,7,16,12,0,0,0,0,0,5,14,11,13,0,0,0,0,7,14,9,14,0,0,0,0,2,13,16,7,0,0,8
0,0,0,0,3,13,4,0,0,0,0,0,11,16,8,0,0,0,0,8,16,16,6,0,0,1,9,16,9,16,2,0,0,7,16,5,5,16,0,0,0,0,2,0,8,13,0,0,0,0,0,0,9,12,0,0,0,0,0,0,5,15,3,0,1
0,0,0,0,9,8,0,0,0,0,0,4,16,2,0,0,0,0,0,15,10,0,0,0,0,0,6,11,1,6,6,0,0,1,14,2,0,9,7,0,0,9,7,0,3,16,2,0,0,7,16,16,16,15,3,0,0,1,4,2,11,3,0,0,4
0,0,0,0,12,14,0,0,0,0,0,1,16,16,1,0,0,0,5,14,16,12,0,0,0,5,16,16,16,8,0,0,0,9,15,9,16,8,0,0,0,0,1,2,16,7,0,0,0,0,0,4,16,10,0,0,0,0,0,0,10,16,6,0,1
0,0,0,2,11,16,12,0,0,0,4,15,14,16,8,0,0,1,16,13,14,16,6,0,0,2,16,16,11,15,5,0,0,0,6,12,16,10,0,0,0,0,0,0,15,6,0,0,0,0,0,2,16,7,0,0,0,0,0,1,16,5,0,0,9
0,0,7,14,12,1,0,0,0,2,16,12,16,8,0,0,0,2,10,0,12,8,0,0,0,0,5,12,16,3,0,0,0,0,5,12,15,13,1,0,0,0,0,0,5,16,3,0,0,0,12,8,4,13,3,0,0,0,9,16,14,9,0,0,3
0,0,3,14,16,16,12,0,0,2,15,16,11,8,6,0,0,9,16,4,0,0,0,0,0,9,16,16,14,3,0,0,0,0,9,9,14,14,0,0,0,0,0,0,5,16,0,0,0,0,0,4,14,12,0,0,0,0,2,16,13,3,0,0,5
0,0,0,1,15,4,0,0,0,0,0,6,16,1,0,0,0,0,0,14,12,0,0,0,0,0,10,16,2,3,0,0,0,4,16,8,3,16,4,0,0,12,16,13,15,16,4,0,0,8,14,12,16,14,5,0,0,0,0,1,16,6,0,0,4
0,0,8,16,11,0,0,0,0,1,14,10,16,5,0,0,0,1,4,7,15,1,0,0,0,0,6,16,15,4,0,0,0,0,0,5,10,16,5,0,0,0,4,0,1,16,4,0,0,0,13,8,15,10,0,0,0,0,11,14,5,0,0,0,3
0,0,10,16,16,16,2,0,0,0,7,8,10,16,0,0,0,0,0,0,10,14,5,0,0,0,8,15,16,16,8,0,0,0,14,16,11,0,0,0,0,0,3,16,2,0,0,0,0,0,10,10,0,0,0,0,0,0,12,3,0,0,0,0,7
0,0,2,11,0,0,0,0,0,0,8,10,0,0,0,0,0,0,14,6,0,0,0,0,0,0,15,3,3,0,0,0,0,3,16,16,16,16,5,0,0,2,15,5,0,5,13,0,0,0,12,13,8,10,15,0,0,0,1,10,16,13,6,0,6
0,0,1,11,14,12,1,0,0,0,11,12,9,16,3,0,0,7,6,6,12,6,0,0,0,6,13,10,14,1,0,0,0,0,12,16,4,0,0,0,0,0,14,13,14,4,0,0,0,0,11,12,11,15,0,0,0,0,1,9,14,14,1,0,8
0,0,11,15,9,0,0,0,0,0,13,9,13,10,0,0,0,0,13,6,1,11,3,0,0,4,12,0,0,4,8,0,0,8,7,0,0,5,8,0,0,7,8,0,5,15,3,0,0,2,14,10,16,10,0,0,0,0,12,12,3,0,0,0,0
0,0,9,16,10,0,0,0,0,0,4,10,15,2,0,0,0,0,13,0,4,13,0,0,0,4,16,0,0,13,2,0,0,7,12,0,0,10,6,0,0,8,13,1,2,13,8,0,0,5,16,16,16,16,2,0,0,0,9,16,15,8,0,0,0
0,3,14,9,5,0,0,0,0,0,7,10,16,0,0,0,0,0,0,2,14,0,0,0,0,0,0,10,6,0,0,0,0,0,3,15,1,0,0,0,0,1,13,8,0,0,0,0,0,8,16,10,12,15,7,0,0,3,12,16,13,8,3,0,2
0,0,7,15,6,0,0,0,0,0,5,8,14,7,0,0,0,0,7,2,4,13,2,0,0,0,14,3,0,12,4,0,0,2,16,0,1,14,5,0,0,5,13,0,7,16,3,0,0,1,16,9,15,13,0,0,0,0,9,15,10,1,0,0,0
0,0,0,5,16,2,0,0,0,0,1,15,8,0,0,0,0,0,10,13,0,2,2,0,0,6,15,6,10,16,12,0,0,13,16,16,14,16,10,0,0,8,12,5,7,16,4,0,0,0,0,2,14,8,0,0,0,0,0,9,13,1,0,0,4
0,0,2,14,11,1,0,0,0,0,8,13,2,0,0,0,0,0,12,8,0,0,0,0,0,0,16,4,0,0,0,0,0,0,16,12,15,11,4,0,0,2,16,12,4,5,14,0,0,0,13,11,4,12,15,1,0,0,3,11,16,12,3,0,6
0,0,1,11,2,0,0,11,0,0,5,16,3,0,7,15,0,0,8,16,0,1,15,7,0,0,8,16,8,13,12,0,0,0,7,16,16,16,6,0,0,0,0,4,14,12,0,0,0,0,0,6,14,0,0,0,0,0,2,15,6,0,0,0,4
0,0,1,13,1,0,0,0,0,0,7,14,0,0,0,0,0,0,12,7,0,0,0,0,0,0,14,5,0,0,0,0,0,1,16,4,4,4,1,0,0,0,14,15,11,10,12,0,0,0,8,11,0,4,15,4,0,0,1,10,16,14,9,0,6
0,0,0,4,12,15,5,0,0,1,10,15,14,16,7,0,0,3,16,16,16,16,7,0,0,0,3,4,3,13,8,0,0,0,0,0,2,16,4,0,0,0,0,0,11,11,0,0,0,0,0,1,14,5,0,0,0,0,0,3,16,2,0,0,9
0,0,15,16,16,16,3,0,0,0,7,8,10,16,4,0,0,0,0,0,8,15,0,0,0,0,4,7,16,15,6,0,0,9,16,16,14,13,3,0,0,2,11,15,2,0,0,0,0,0,13,9,0,0,0,0,0,2,16,4,0,0,0,0,7
0,0,6,13,16,11,0,0,0,11,16,11,4,16,4,0,0,3,13,13,9,16,1,0,0,0,0,10,16,8,0,0,0,0,0,13,16,9,0,0,0,0,7,14,6,13,0,0,0,0,8,13,10,15,0,0,0,0,5,14,14,6,0,0,8
0,0,0,2,8,13,14,2,0,0,5,14,9,4,16,5,0,1,14,0,5,14,13,0,0,0,16,16,13,16,5,0,0,0,1,0,7,9,0,0,0,0,0,0,13,2,0,0,0,0,0,2,13,0,0,0,0,0,0,3,10,0,0,0,9
0,0,0,2,13,14,1,0,0,2,9,16,16,16,2,0,0,12,16,16,16,16,2,0,0,10,12,3,16,12,0,0,0,0,0,5,16,8,0,0,0,0,0,5,16,5,0,0,0,0,0,5,16,7,0,0,0,0,0,2,15,9,0,0,1
0,0,3,10,16,11,0,0,0,3,12,10,6,16,2,0,0,9,16,6,12,11,1,0,0,0,5,16,15,0,0,0,0,0,7,12,15,2,0,0,0,0,10,5,6,11,0,0,0,0,11,4,10,13,0,0,0,0,3,16,14,5,0,0,8
0,0,0,12,14,6,0,0,0,1,5,1,8,16,3,0,0,4,15,12,16,16,3,0,0,0,12,16,12,2,0,0,0,4,16,14,11,0,0,0,0,4,15,5,15,2,0,0,0,0,9,16,15,8,0,0,0,0,0,10,16,9,0,0,8
0,0,3,14,14,3,0,0,0,0,7,6,5,14,0,0,0,0,7,7,3,13,3,0,0,0,2,15,15,5,0,0,0,0,8,16,11,0,0,0,0,1,14,3,10,4,0,0,0,1,13,3,3,11,0,0,0,0,4,10,16,11,0,0,8
0,0,4,12,16,4,0,0,0,0,15,15,6,15,0,0,0,3,16,11,0,8,4,0,0,4,11,3,0,4,8,0,0,5,8,0,0,9,7,0,0,1,12,0,0,13,5,0,0,0,13,10,14,11,0,0,0,0,4,12,13,1,0,0,0
0,0,0,6,12,0,0,0,0,0,5,14,4,0,0,0,0,1,15,3,0,1,12,0,0,2,16,2,0,8,11,0,0,3,16,15,10,15,6,0,0,0,2,12,14,13,1,0,0,0,0,0,12,5,0,0,0,0,0,7,13,0,0,0,4
0,0,0,0,6,15,1,0,0,0,0,3,14,16,4,0,0,0,4,15,16,16,2,0,0,4,16,13,6,16,0,0,0,5,7,0,7,16,0,0,0,0,0,0,8,16,0,0,0,0,0,0,10,16,0,0,0,0,0,0,4,12,0,0,1
0,1,9,15,16,13,4,0,0,6,9,4,4,13,8,0,0,0,0,0,7,15,4,0,0,0,0,10,16,8,0,0,0,0,0,4,12,13,1,0,0,0,0,0,0,14,8,0,0,0,6,4,7,15,6,0,0,0,8,16,12,5,0,0,3
0,0,0,12,3,0,0,0,0,0,6,13,0,0,0,0,0,0,11,7,0,0,0,0,0,0,13,2,2,2,0,0,0,1,16,11,16,16,6,0,0,0,15,12,4,14,13,0,0,0,10,11,7,16,12,0,0,0,0,11,15,11,2,0,6
0,0,4,11,7,1,0,0,0,0,9,16,16,12,0,0,0,0,10,16,16,8,0,0,0,0,10,16,16,10,0,0,0,2,15,16,16,8,0,0,0,0,16,16,16,4,0,0,0,0,5,16,16,13,2,0,0,0,5,10,11,8,3,0,1
0,0,1,8,14,8,0,0,0,7,16,15,10,5,0,0,0,14,10,2,0,0,0,0,0,4,14,8,0,0,0,0,0,0,2,13,11,0,0,0,0,0,0,1,12,7,0,0,0,0,2,13,10,16,0,0,0,0,0,13,12,11,1,0,5
0,2,16,9,0,0,0,0,0,2,16,16,10,1,0,0,0,0,1,7,16,13,0,0,0,1,5,0,8,16,3,0,0,4,8,0,0,12,7,0,0,5,10,0,5,15,4,0,0,8,15,14,16,10,0,0,0,3,15,15,8,1,0,0,0
0,2,8,10,13,15,8,0,0,1,16,15,10,7,2,0,0,0,10,14,2,0,0,0,0,0,0,12,12,0,0,0,0,0,0,0,11,10,0,0,0,0,0,0,1,14,3,0,0,0,0,2,7,15,3,0,0,0,12,16,10,4,0,0,5
0,1,7,16,16,16,8,0,0,10,16,14,12,10,3,0,0,12,14,1,0,0,0,0,0,2,15,13,1,0,0,0,0,0,2,16,11,0,0,0,0,0,1,5,15,7,0,0,0,0,11,10,13,16,1,0,0,0,8,16,16,10,0,0,5
0,1,13,16,14,6,1,0,0,0,13,7,8,16,4,0,0,0,2,1,12,15,2,0,0,0,2,15,13,3,0,0,0,0,3,14,15,6,0,0,0,0,0,1,8,16,3,0,0,4,15,10,5,16,5,0,0,3,12,15,16,13,1,0,3
0,0,0,12,12,0,0,0,0,0,9,16,9,0,0,0,0,3,16,14,5,5,2,0,0,6,16,16,16,16,9,0,0,0,5,8,13,16,6,0,0,0,0,1,15,16,2,0,0,0,0,5,16,11,0,0,0,0,0,11,16,9,0,0,4
0,0,11,14,16,8,0,0,0,1,12,12,14,16,3,0,0,0,0,0,4,16,4,0,0,0,0,0,7,16,3,0,0,0,7,8,15,16,11,0,0,5,16,16,16,8,0,0,0,0,7,13,14,0,0,0,0,0,15,15,3,0,0,0,7
0,0,6,14,15,4,0,0,0,3,16,10,11,14,0,0,0,2,8,0,6,16,2,0,0,0,0,0,8,10,0,0,0,0,0,0,14,7,0,0,0,0,0,7,13,0,0,0,0,0,4,16,11,14,4,0,0,0,5,15,13,8,1,0,2
0,0,0,5,12,0,0,0,0,0,0,13,13,0,0,0,0,0,5,16,3,0,0,0,0,0,8,15,0,0,0,0,0,0,10,12,8,6,0,0,0,2,15,15,12,14,9,0,0,0,8,15,6,12,12,0,0,0,0,8,13,15,5,0,6
0,0,7,10,12,16,14,1,0,0,10,15,12,15,15,1,0,0,0,0,1,13,11,0,0,0,0,0,5,16,10,0,0,0,7,12,15,16,9,0,0,0,9,15,16,3,0,0,0,0,3,15,8,0,0,0,0,0,9,15,2,0,0,0,7
0,0,3,8,12,14,15,3,0,0,4,8,4,8,16,3,0,0,0,0,0,6,14,0,0,0,2,10,12,15,8,0,0,0,9,8,15,12,4,0,0,0,0,5,15,3,0,0,0,0,0,10,10,0,0,0,0,0,2,16,4,0,0,0,7
0,0,1,15,0,0,0,0,0,0,4,15,1,0,0,0,0,0,12,9,0,0,0,0,0,1,16,9,2,0,0,0,0,5,16,13,14,10,2,0,0,2,16,5,0,10,9,0,0,1,13,12,8,12,11,0,0,0,1,12,13,10,3,0,6
0,0,5,12,13,9,5,0,0,1,14,8,6,14,14,0,0,0,6,0,3,15,9,0,0,0,3,12,13,4,0,0,0,0,12,16,14,6,0,0,0,0,0,1,10,16,3,0,0,0,3,8,11,15,3,0,0,0,6,14,10,2,0,0,3
0,0,5,10,15,9,0,0,0,6,14,8,9,16,4,0,0,4,2,2,13,13,0,0,0,0,0,8,16,1,0,0,0,0,0,0,9,13,1,0,0,0,1,2,0,12,7,0,0,0,9,9,4,11,10,0,0,0,4,13,13,10,1,0,3
0,2,16,16,11,2,0,0,0,0,8,11,16,8,0,0,0,0,4,14,15,1,0,0,0,0,13,16,12,1,0,0,0,0,2,8,15,14,1,0,0,0,4,0,3,16,6,0,0,5,15,8,14,15,2,0,0,2,12,12,9,5,0,0,3
0,1,9,12,15,16,7,0,0,10,16,15,12,11,3,0,0,13,16,2,0,0,0,0,0,5,16,13,2,0,0,0,0,0,4,15,15,1,0,0,0,0,2,4,15,9,0,0,0,0,14,14,16,11,0,0,0,0,11,16,12,1,0,0,5
0,0,4,15,13,0,0,0,0,1,15,9,9,9,1,0,0,4,16,6,13,16,4,0,0,0,8,9,6,16,4,0,0,0,0,0,0,16,4,0,0,0,0,0,0,16,5,0,0,0,2,8,5,16,4,0,0,0,3,15,14,7,1,0,9
0,0,0,6,10,14,6,0,0,0,14,16,12,16,8,0,0,0,8,16,16,16,8,0,0,5,12,8,1,13,6,0,0,0,0,0,4,16,3,0,0,0,0,0,12,11,0,0,0,0,0,1,16,2,0,0,0,0,0,9,11,0,0,0,9
0,0,0,13,3,0,0,0,0,0,10,13,1,0,0,0,0,3,16,7,0,1,3,0,0,8,16,8,5,13,15,0,0,4,16,16,16,15,4,0,0,0,3,11,16,5,0,0,0,0,0,13,13,0,0,0,0,0,1,15,3,0,0,0,4
0,0,0,0,13,13,0,0,0,0,2,12,16,16,0,0,0,3,15,16,16,13,0,0,0,11,15,4,14,12,0,0,0,2,2,0,16,11,0,0,0,0,0,0,15,11,0,0,0,0,0,3,16,10,0,0,0,0,0,0,15,15,0,0,1
0,0,3,15,3,0,0,0,0,0,12,14,0,0,5,3,0,2,16,10,0,5,16,5,0,3,16,14,12,15,14,0,0,0,13,16,16,14,3,0,0,0,0,8,16,5,0,0,0,0,0,13,13,0,0,0,0,0,5,16,4,0,0,0,4
0,0,0,4,10,16,14,0,0,0,6,16,12,11,16,2,0,3,15,15,10,15,16,2,0,1,15,16,10,15,14,0,0,0,0,0,1,16,8,0,0,0,0,0,7,15,3,0,0,0,0,0,12,12,0,0,0,0,0,1,16,8,0,0,9
0,7,16,16,16,5,0,0,0,1,8,8,15,7,0,0,0,0,0,3,15,2,0,0,0,0,0,11,13,4,1,0,0,0,8,16,16,16,11,0,0,0,13,14,8,4,2,0,0,5,16,4,0,0,0,0,0,7,12,0,0,0,0,0,7
0,0,2,8,15,14,0,0,0,1,14,12,8,16,0,0,0,6,12,1,5,13,0,0,0,1,2,1,14,5,0,0,0,0,0,9,13,0,0,0,0,0,0,15,4,0,0,0,0,0,0,16,8,11,7,0,0,0,0,9,13,7,0,0,2
0,0,1,14,8,0,0,0,0,0,9,14,2,0,3,3,0,4,16,3,0,2,16,3,0,5,16,9,8,13,12,0,0,2,16,16,16,14,2,0,0,0,0,0,13,9,0,0,0,0,0,8,14,1,0,0,0,0,0,15,7,0,0,0,4
0,0,5,10,14,6,0,0,0,13,16,15,10,3,0,0,0,15,8,0,0,0,0,0,0,8,11,1,0,0,0,0,0,0,7,13,3,0,0,0,0,0,0,5,13,5,0,0,0,0,6,8,13,14,1,0,0,0,4,12,13,11,0,0,5
0,0,0,1,10,15,2,0,0,0,6,14,12,16,6,0,0,4,16,15,13,16,7,0,0,6,16,14,9,16,2,0,0,0,1,0,2,14,0,0,0,0,0,0,8,10,0,0,0,0,0,0,14,3,0,0,0,0,0,0,14,0,0,0,9
0,1,6,13,13,4,0,0,0,9,16,14,15,15,0,0,0,5,5,0,6,13,0,0,0,0,0,1,12,11,0,0,0,0,0,7,14,1,0,0,0,0,1,16,8,0,0,0,0,0,8,16,9,13,10,0,0,0,4,14,16,9,2,0,2
0,0,11,16,7,0,0,0,0,4,16,16,16,0,0,0,0,12,9,4,16,0,0,0,0,8,5,1,16,2,0,0,0,0,0,11,13,0,0,0,0,0,3,16,14,7,9,0,0,0,13,16,16,16,13,0,0,0,13,13,10,2,0,0,2
0,0,1,13,7,0,0,0,0,0,12,15,1,0,0,0,0,6,16,5,0,3,5,0,0,10,16,9,11,16,14,0,0,6,14,16,16,16,5,0,0,0,0,1,16,11,0,0,0,0,0,9,16,2,0,0,0,0,0,14,13,0,0,0,4
0,0,8,13,16,12,1,0,0,6,16,13,14,16,5,0,0,5,14,14,16,14,0,0,0,0,0,4,16,6,0,0,0,0,0,11,12,0,0,0,0,0,3,16,11,0,0,0,0,0,7,16,4,0,0,0,0,0,10,15,1,0,0,0,9
0,0,0,9,14,1,0,0,0,0,5,16,4,0,1,1,0,0,14,13,0,3,13,6,0,1,16,16,16,16,14,1,0,0,7,12,14,16,2,0,0,0,0,0,14,10,0,0,0,0,0,6,16,2,0,0,0,0,0,13,5,0,0,0,4
0,0,5,12,14,4,0,0,0,10,16,15,14,15,0,0,0,8,5,1,10,13,0,0,0,0,0,0,14,10,0,0,0,0,0,11,16,3,0,0,0,0,4,15,13,0,0,0,0,0,12,16,12,9,11,0,0,0,2,14,16,13,7,0,2
0,0,0,12,16,5,0,0,0,0,2,13,16,8,0,0,0,6,15,16,16,10,0,0,0,4,8,9,16,14,0,0,0,0,0,0,14,16,4,0,0,0,0,0,7,16,12,0,0,0,0,7,11,16,12,0,0,0,0,13,16,13,3,0,1
0,0,5,10,13,9,0,0,0,7,16,16,16,14,0,0,0,4,6,5,16,7,0,0,0,0,0,1,16,8,0,0,0,0,0,0,16,16,0,0,0,0,0,0,12,16,3,0,0,0,1,11,16,8,0,0,0,0,6,13,7,0,0,0,3
0,0,0,1,16,1,0,0,0,0,0,7,12,0,0,0,0,0,3,15,4,0,0,0,0,1,14,8,0,10,9,0,0,8,13,0,3,16,2,0,0,8,16,13,16,13,0,0,0,0,8,5,16,6,0,0,0,0,0,1,14,1,0,0,4
0,0,13,10,5,10,0,0,0,4,16,10,8,14,0,0,0,0,14,6,15,10,0,0,0,0,4,16,14,0,0,0,0,0,2,16,8,0,0,0,0,0,8,16,12,0,0,0,0,0,12,16,10,0,0,0,0,0,10,13,2,0,0,0,8
0,0,5,16,16,8,0,0,0,0,10,16,16,11,0,0,0,0,12,13,1,0,0,0,0,0,5,16,1,0,0,0,0,0,0,14,6,0,0,0,0,0,6,10,11,0,0,0,0,0,15,16,16,0,0,0,0,0,5,15,14,0,0,0,5
0,0,0,10,12,0,0,0,0,0,8,16,9,4,0,0,0,0,15,10,0,0,0,0,0,2,16,6,0,0,0,0,0,3,16,10,10,0,0,0,0,1,15,16,16,10,0,0,0,0,9,13,11,16,3,0,0,0,1,9,15,13,0,0,6
0,3,10,12,15,10,1,0,0,6,11,8,14,16,4,0,0,0,0,4,16,12,0,0,0,0,1,15,12,1,0,0,0,0,0,14,12,0,0,0,0,0,0,8,16,1,0,0,0,1,7,14,13,0,0,0,0,3,15,9,1,0,0,0,3
0,1,9,14,16,16,3,0,0,2,16,16,15,12,3,0,0,0,10,16,1,0,0,0,0,0,1,15,7,0,0,0,0,0,0,12,12,0,0,0,0,0,0,9,16,0,0,0,0,2,14,15,14,0,0,0,0,1,16,16,4,0,0,0,5
0,0,0,8,15,5,0,0,0,0,0,15,16,11,0,0,0,0,8,16,16,13,0,0,0,7,16,16,16,16,4,0,0,2,4,0,10,16,10,0,0,0,0,0,8,16,11,0,0,0,0,7,14,16,10,0,0,0,0,11,16,9,1,0,1
0,0,3,10,8,0,0,0,0,4,16,13,12,11,0,0,0,6,16,11,15,16,1,0,0,0,7,13,16,12,0,0,0,0,0,0,13,10,0,0,0,0,0,0,15,9,0,0,0,0,5,12,16,5,0,0,0,0,7,13,8,0,0,0,9
0,0,4,10,14,12,10,0,0,0,7,8,8,12,13,0,0,0,0,0,0,10,12,0,0,0,1,5,8,16,6,0,0,0,5,16,16,13,1,0,0,0,0,7,15,4,0,0,0,0,0,14,12,0,0,0,0,0,2,16,2,0,0,0,7
0,0,6,14,15,6,0,0,0,14,16,16,16,16,0,0,0,8,8,10,16,13,0,0,0,0,0,14,16,7,0,0,0,0,0,6,16,12,0,0,0,0,0,0,12,16,6,0,0,0,0,7,16,16,5,0,0,0,6,16,12,1,0,0,3
0,0,0,9,11,0,0,0,0,0,0,13,16,6,0,0,0,0,7,15,16,5,0,0,0,7,16,16,16,5,0,0,0,1,7,4,15,10,0,0,0,0,0,0,12,14,0,0,0,0,0,6,15,16,0,0,0,0,0,10,16,8,0,0,1
0,0,0,8,14,4,0,0,0,0,8,16,13,1,0,0,0,1,15,13,0,0,0,0,0,2,16,4,0,0,0,0,0,7,16,3,8,7,1,0,0,0,16,16,16,16,11,0,0,0,9,16,16,16,12,0,0,0,1,10,16,12,1,0,6
0,0,14,16,9,12,1,0,0,0,16,10,10,16,6,0,0,0,12,12,13,13,1,0,0,0,4,16,14,1,0,0,0,0,6,16,7,0,0,0,0,1,15,15,12,0,0,0,0,5,16,12,12,0,0,0,0,1,10,14,3,0,0,0,8
0,0,9,14,7,0,0,0,0,2,16,16,16,15,0,0,0,3,16,16,16,10,0,0,0,0,9,16,16,10,0,0,0,0,0,3,16,10,0,0,0,0,0,11,14,9,0,0,0,0,5,16,15,3,0,0,0,0,10,12,4,0,0,0,9
0,0,0,7,14,6,0,0,0,0,11,16,9,2,0,0,0,4,15,10,0,0,0,0,0,9,12,0,3,1,0,0,0,7,13,2,16,12,2,0,0,3,16,2,2,13,9,0,0,0,11,13,6,15,10,0,0,0,0,8,16,13,1,0,6
0,2,9,14,8,7,0,0,0,11,16,16,16,16,0,0,0,6,16,16,16,16,2,0,0,0,0,0,8,16,7,0,0,0,0,0,8,16,4,0,0,0,0,1,15,16,0,0,0,0,4,14,16,7,0,0,0,1,13,14,2,0,0,0,9
0,0,0,8,11,0,0,0,0,0,3,16,5,0,0,0,0,0,11,13,0,0,0,0,0,1,16,5,0,1,0,0,0,7,15,0,3,16,3,0,0,8,13,1,10,16,4,0,0,7,16,16,16,16,2,0,0,0,4,6,5,15,3,0,4
0,1,12,16,8,2,0,0,0,2,16,8,16,15,0,0,0,0,16,9,16,6,0,0,0,0,8,16,8,0,0,0,0,0,9,16,1,0,0,0,0,0,15,16,8,0,0,0,0,3,16,16,9,0,0,0,0,0,7,14,2,0,0,0,8
0,0,0,2,14,1,0,0,0,0,0,10,12,0,0,0,0,0,8,15,1,2,1,0,0,3,15,5,0,12,7,0,0,10,14,0,6,16,2,0,0,8,16,16,16,12,0,0,0,0,2,4,16,5,0,0,0,0,0,2,13,0,0,0,4
0,0,5,11,14,9,1,0,0,6,15,12,13,16,2,0,0,8,5,4,16,9,0,0,0,0,0,4,16,8,0,0,0,0,0,2,15,11,0,0,0,0,0,0,10,16,3,0,0,0,1,11,16,10,1,0,0,0,5,13,6,0,0,0,3
0,0,0,0,10,10,2,0,0,0,0,6,16,7,0,0,0,0,3,16,7,0,0,0,0,0,14,13,0,3,0,0,0,4,16,6,4,16,4,0,0,5,16,9,13,16,6,0,0,0,7,12,16,14,1,0,0,0,0,0,12,14,0,0,4
0,0,9,12,16,16,3,0,0,0,14,16,16,11,0,0,0,0,7,16,2,0,0,0,0,0,1,16,7,0,0,0,0,0,0,12,10,0,0,0,0,0,0,8,15,0,0,0,0,3,14,16,12,0,0,0,0,1,15,16,6,0,0,0,5
0,0,5,11,12,2,0,0,0,5,16,14,14,12,0,0,0,5,7,0,10,10,0,0,0,0,0,1,14,6,0,0,0,0,0,14,12,1,0,0,0,0,11,16,1,0,0,0,0,0,15,13,8,5,2,0,0,0,3,12,16,15,9,0,2
0,0,2,10,15,16,16,5,0,0,10,13,12,14,16,6,0,0,0,0,0,8,16,1,0,0,0,4,4,14,12,0,0,0,6,16,16,16,8,0,0,0,2,11,16,11,1,0,0,0,0,12,15,0,0,0,0,0,1,16,8,0,0,0,7
0,0,4,14,15,3,0,0,0,0,14,16,16,9,0,0,0,0,11,16,16,15,0,0,0,0,3,13,16,16,1,0,0,0,0,0,3,16,6,0,0,0,0,0,13,16,1,0,0,0,2,11,16,12,0,0,0,0,6,15,10,1,0,0,9
0,0,0,7,16,6,0,0,0,2,9,16,16,11,0,0,0,10,16,12,13,16,1,0,0,2,4,1,7,16,5,0,0,0,0,0,2,16,10,0,0,0,0,0,2,16,13,0,0,0,0,4,14,16,12,0,0,0,0,4,14,9,2,0,1
0,0,6,16,16,11,0,0,0,0,15,16,14,8,0,0,0,0,9,13,0,0,0,0,0,0,3,15,1,0,0,0,0,0,0,11,8,0,0,0,0,0,2,13,14,0,0,0,0,0,16,16,13,0,0,0,0,0,7,16,6,0,0,0,5
0,0,0,13,14,2,0,0,0,0,7,16,12,2,0,0,0,0,14,14,1,0,0,0,0,0,15,11,0,0,0,0,0,4,16,16,14,14,4,0,0,2,16,16,13,10,14,0,0,0,9,13,8,12,16,1,0,0,1,11,16,16,10,0,6
0,0,0,8,14,16,6,0,0,3,13,16,13,15,14,0,0,3,12,6,0,11,16,0,0,0,0,0,4,15,13,0,0,0,0,12,16,16,11,0,0,0,1,11,16,11,0,0,0,0,0,7,16,5,0,0,0,0,0,11,12,0,0,0,7
0,0,2,7,13,3,0,0,0,0,10,16,12,13,0,0,0,0,15,9,1,12,4,0,0,1,15,0,0,8,7,0,0,5,8,0,0,12,5,0,0,1,11,0,1,15,4,0,0,0,14,13,15,10,0,0,0,0,3,13,14,3,0,0,0
0,0,0,14,8,1,0,0,0,0,9,16,16,4,0,0,0,11,16,16,14,0,0,0,0,5,8,14,16,2,0,0,0,0,0,7,16,6,0,0,0,0,0,4,16,12,0,0,0,0,1,6,16,14,0,0,0,0,2,14,16,9,0,0,1
0,0,3,12,13,1,0,0,0,0,14,16,15,11,0,0,0,0,15,15,15,14,0,0,0,0,11,16,15,16,2,0,0,0,1,5,3,16,6,0,0,0,0,0,1,16,6,0,0,0,0,5,15,16,4,0,0,0,6,16,16,6,0,0,9
0,0,9,16,7,5,0,0,0,0,9,16,16,16,0,0,0,0,7,16,15,6,0,0,0,0,7,16,7,0,0,0,0,0,14,16,5,0,0,0,0,3,16,16,4,0,0,0,0,1,16,16,5,0,0,0,0,0,7,12,1,0,0,0,8
0,0,0,1,11,5,0,0,0,0,0,13,12,1,0,0,0,0,8,14,3,0,0,0,0,2,16,6,2,12,4,0,0,7,16,7,8,15,5,0,0,2,16,16,16,11,0,0,0,0,4,10,16,7,0,0,0,0,0,3,14,4,0,0,4
0,0,1,14,15,3,0,0,0,0,9,16,16,8,0,0,0,9,16,16,14,10,0,0,0,0,3,8,16,14,0,0,0,0,0,2,16,16,2,0,0,0,0,0,13,16,9,0,0,0,1,10,16,16,9,0,0,0,2,10,15,10,0,0,1
0,0,4,12,16,9,0,0,0,0,13,10,4,14,3,0,0,5,13,1,0,12,4,0,0,4,12,0,0,8,8,0,0,6,12,0,0,10,7,0,0,3,15,0,2,16,3,0,0,0,16,13,15,11,0,0,0,0,6,15,10,0,0,0,0
0,0,1,10,13,0,0,0,0,0,11,16,9,0,0,0,0,0,15,12,0,0,0,0,0,3,16,5,0,0,0,0,0,5,16,8,12,10,1,0,0,2,16,8,10,15,9,0,0,0,9,14,8,12,15,0,0,0,0,8,14,15,8,0,6
0,0,1,9,13,16,8,0,0,0,12,13,9,11,14,0,0,0,0,0,0,9,12,0,0,0,0,5,9,15,10,0,0,0,5,16,16,16,5,0,0,0,0,0,13,12,0,0,0,0,0,2,16,7,0,0,0,0,0,9,16,0,0,0,7
0,0,6,16,16,10,0,0,0,5,16,16,13,6,0,0,0,1,15,15,1,0,0,0,0,0,4,16,5,0,0,0,0,0,0,14,11,0,0,0,0,0,0,13,14,0,0,0,0,0,9,16,11,0,0,0,0,0,8,15,5,0,0,0,5
0,0,0,12,9,0,0,0,0,0,4,16,16,2,0,0,0,5,15,16,16,3,0,0,0,6,14,13,15,12,0,0,0,0,0,0,8,16,2,0,0,0,0,0,0,16,10,0,0,0,0,7,9,15,15,0,0,0,0,10,16,14,5,0,1
0,2,15,12,3,6,0,0,0,5,16,13,6,16,6,0,0,6,16,1,3,16,2,0,0,0,15,11,15,14,0,0,0,0,9,16,16,3,0,0,0,0,13,16,6,0,0,0,0,8,16,16,2,0,0,0,0,3,15,13,0,0,0,0,8
0,0,5,13,14,1,0,0,0,0,14,16,16,9,0,0,0,0,10,16,16,14,0,0,0,0,2,12,14,16,2,0,0,0,0,0,8,16,2,0,0,0,0,4,15,16,2,0,0,0,5,16,16,14,0,0,0,0,4,14,15,1,0,0,9
0,0,1,13,10,0,0,0,0,0,10,16,7,0,0,0,0,3,16,7,0,0,0,0,0,3,16,3,0,0,0,0,0,8,16,6,8,7,0,0,0,3,15,16,16,16,8,0,0,0,9,16,16,16,5,0,0,0,0,8,15,9,0,0,6
0,1,7,14,16,11,0,0,0,11,16,12,15,16,1,0,0,8,4,3,16,10,0,0,0,0,0,1,16,7,0,0,0,0,0,0,16,11,0,0,0,0,0,0,12,16,0,0,0,0,2,7,15,13,0,0,0,0,10,15,9,1,0,0,3
0,1,9,14,7,2,0,0,0,8,16,11,16,14,2,0,0,5,16,14,16,16,4,0,0,0,4,7,10,16,7,0,0,0,0,0,4,16,8,0,0,0,0,0,6,16,9,0,0,0,4,11,16,11,0,0,0,0,12,14,8,0,0,0,9
0,0,0,0,13,6,0,0,0,0,1,10,13,3,0,0,0,0,5,16,5,0,0,0,0,2,15,9,0,1,0,0,0,7,16,1,5,16,6,0,0,8,16,12,16,14,0,0,0,2,11,13,16,12,0,0,0,0,0,1,14,5,0,0,4
0,0,5,12,13,1,0,0,0,3,15,14,7,10,0,0,0,0,15,7,14,16,2,0,0,0,8,16,16,9,0,0,0,0,3,16,16,1,0,0,0,0,12,16,16,6,0,0,0,1,16,16,16,7,0,0,0,0,6,14,12,1,0,0,8
0,0,9,16,16,8,0,0,0,2,16,16,13,4,0,0,0,3,16,6,1,0,0,0,0,0,11,11,0,0,0,0,0,0,2,14,5,0,0,0,0,0,0,12,10,0,0,0,0,0,10,16,15,0,0,0,0,0,10,15,6,0,0,0,5
0,0,13,10,2,8,0,0,0,2,16,13,13,14,0,0,0,0,14,4,12,11,0,0,0,0,12,13,16,5,0,0,0,0,3,16,13,0,0,0,0,0,9,16,9,0,0,0,0,0,16,16,10,0,0,0,0,0,11,13,2,0,0,0,8
0,1,12,16,10,1,0,0,0,11,15,15,16,8,0,0,0,9,16,16,16,14,0,0,0,0,11,7,6,16,8,0,0,0,0,0,8,13,2,0,0,0,0,8,15,12,0,0,0,0,7,16,15,3,0,0,0,0,9,8,1,0,0,0,9
0,0,0,0,11,9,0,0,0,0,0,8,15,3,0,0,0,0,4,15,5,0,0,0,0,1,14,9,0,5,3,0,0,8,15,0,1,16,7,0,0,12,15,12,15,15,3,0,0,6,15,12,15,12,0,0,0,0,0,0,10,4,0,0,4
0,0,4,15,16,6,0,0,0,0,14,15,8,14,2,0,0,7,12,2,0,8,4,0,0,7,8,0,0,5,8,0,0,8,8,0,0,9,8,0,0,3,11,0,0,10,7,0,0,0,15,7,8,14,2,0,0,0,5,12,14,6,0,0,0
0,0,4,13,12,1,0,0,0,2,15,12,11,7,0,0,0,1,12,13,15,14,0,0,0,0,3,16,16,5,0,0,0,0,4,16,11,0,0,0,0,0,10,16,16,0,0,0,0,0,14,16,13,0,0,0,0,0,8,13,3,0,0,0,8
0,0,5,15,15,2,0,0,0,4,15,11,16,4,0,0,0,2,4,6,16,2,0,0,0,0,0,14,10,0,0,0,0,0,6,16,2,0,0,0,0,0,9,13,0,0,0,0,0,0,10,15,8,4,3,0,0,0,3,14,16,14,4,0,2
0,0,4,9,7,13,1,0,0,1,16,6,6,14,4,0,0,7,13,0,0,10,8,0,0,8,6,0,0,12,7,0,0,8,5,0,0,13,4,0,0,8,10,0,5,16,4,0,0,1,15,12,15,10,0,0,0,0,5,14,9,1,0,0,0
0,1,6,14,10,1,0,0,0,9,16,15,16,13,0,0,0,6,6,9,16,7,0,0,0,0,0,14,10,0,0,0,0,0,0,8,15,5,0,0,0,0,0,0,13,13,0,0,0,0,2,9,15,8,0,0,0,0,10,16,7,0,0,0,3
0,0,8,16,6,0,0,0,0,0,13,10,8,8,0,0,0,0,8,12,13,15,3,0,0,0,6,16,16,6,0,0,0,0,11,16,6,0,0,0,0,2,14,14,11,0,0,0,0,1,16,11,15,1,0,0,0,0,9,16,10,0,0,0,8
0,0,6,13,11,4,0,0,0,5,16,10,14,12,0,0,0,7,8,1,14,9,0,0,0,0,0,5,15,3,0,0,0,0,2,15,10,0,0,0,0,0,12,14,0,0,0,0,0,4,16,12,4,6,5,0,0,1,9,14,13,12,5,0,2
0,0,2,13,8,0,0,0,0,0,12,15,16,11,0,0,0,2,16,3,3,13,4,0,0,5,13,0,0,9,7,0,0,7,8,0,0,13,3,0,0,3,14,0,1,15,2,0,0,0,14,10,12,12,0,0,0,0,2,13,12,3,0,0,0
0,0,6,16,16,7,0,0,0,1,15,16,14,10,0,0,0,0,15,11,0,0,0,0,0,0,6,16,2,0,0,0,0,0,0,10,10,0,0,0,0,0,0,7,14,0,0,0,0,0,5,12,16,2,0,0,0,0,9,16,10,0,0,0,5
0,0,3,9,13,14,1,0,0,4,16,15,11,14,8,0,0,0,2,0,2,14,6,0,0,0,0,0,10,16,5,0,0,0,5,16,16,16,7,0,0,0,1,10,16,5,0,0,0,0,0,8,16,0,0,0,0,0,0,10,10,0,0,0,7
0,0,0,11,12,0,0,0,0,0,8,16,12,0,0,0,0,0,15,14,1,0,0,0,0,1,15,8,0,0,0,0,0,3,16,6,1,0,0,0,0,1,15,16,16,16,10,0,0,0,8,16,16,16,16,3,0,0,0,7,15,16,9,0,6
0,0,1,15,9,0,0,0,0,0,4,16,16,2,0,0,0,5,15,16,16,5,0,0,0,2,8,11,16,12,0,0,0,0,0,2,16,16,2,0,0,0,0,0,13,16,8,0,0,0,2,8,13,16,8,0,0,0,1,11,14,12,2,0,1
0,0,0,10,11,0,0,0,0,0,3,16,5,8,5,0,0,0,10,14,2,16,2,0,0,4,15,5,8,12,0,0,0,12,16,12,15,16,6,0,0,14,16,16,16,14,2,0,0,0,0,11,13,0,0,0,0,0,0,14,5,0,0,0,4
0,0,6,16,12,1,0,0,0,0,16,10,13,7,0,0,0,0,14,6,10,12,0,0,0,0,5,14,16,16,6,0,0,0,0,0,4,11,9,0,0,0,0,0,0,7,13,0,0,0,10,10,4,11,12,0,0,0,6,14,12,12,5,0,9
0,0,6,14,10,0,0,0,0,0,8,16,16,0,0,0,0,0,8,16,16,1,0,0,0,1,13,16,14,0,0,0,0,3,13,16,13,0,0,0,0,0,7,16,16,0,0,0,0,0,6,16,16,9,0,0,0,0,5,14,16,13,4,0,1
0,0,2,15,5,0,0,0,0,0,5,15,1,7,0,0,0,0,10,10,6,16,0,0,0,5,15,2,13,11,0,0,0,14,15,12,16,16,6,0,0,14,16,16,16,14,3,0,0,1,4,15,11,1,0,0,0,0,2,15,7,0,0,0,4
0,0,13,16,6,0,0,0,0,6,16,13,15,0,0,0,0,4,15,7,16,0,0,0,0,0,3,10,13,0,0,0,0,0,0,14,10,0,0,0,0,1,13,16,1,2,0,0,0,8,16,16,15,16,2,0,0,1,11,15,16,16,3,0,2
0,0,9,16,9,1,0,0,0,5,16,9,16,11,0,0,0,8,12,0,15,12,0,0,0,1,15,16,16,16,2,0,0,0,0,5,4,16,4,0,0,0,0,0,0,13,7,0,0,1,12,12,12,15,9,0,0,1,10,14,8,8,1,0,9
0,1,13,16,9,0,0,0,0,6,16,14,13,0,0,0,0,5,11,8,15,0,0,0,0,0,0,12,9,0,0,0,0,0,3,16,6,0,0,0,0,1,13,13,1,0,0,0,0,11,16,16,16,16,5,0,0,2,12,14,15,16,5,0,2
0,0,10,12,2,0,0,0,0,0,16,14,8,0,0,0,0,0,14,7,12,0,0,0,0,0,1,5,12,0,0,0,0,0,0,9,9,0,0,0,0,0,3,16,2,0,0,0,0,4,16,16,10,6,2,0,0,1,8,8,11,13,10,0,2
0,3,15,11,1,0,0,0,0,8,13,12,7,0,0,0,0,5,5,9,9,0,0,0,0,0,2,14,10,0,0,0,0,0,3,12,15,13,1,0,0,0,0,0,1,15,7,0,0,4,11,5,10,16,4,0,0,4,12,13,12,3,0,0,3
0,0,4,15,14,2,0,0,0,0,14,8,16,2,0,0,0,0,6,3,16,0,0,0,0,0,0,12,16,5,0,0,0,0,0,7,15,16,4,0,0,0,0,0,0,16,4,0,0,0,8,12,10,15,3,0,0,0,6,13,13,4,0,0,3
0,0,3,15,16,16,3,0,0,0,3,9,13,16,2,0,0,0,0,0,10,16,0,0,0,0,6,12,16,16,9,0,0,0,15,16,16,14,7,0,0,0,0,10,15,1,0,0,0,0,2,16,10,0,0,0,0,0,7,15,4,0,0,0,7
0,0,8,16,16,16,7,0,0,0,16,12,8,8,4,0,0,2,16,6,0,0,0,0,0,7,16,16,16,8,0,0,0,2,12,9,9,16,3,0,0,0,0,0,1,16,3,0,0,0,8,11,12,16,2,0,0,0,10,16,14,6,0,0,5
0,2,14,10,1,0,0,0,0,6,13,13,6,0,0,0,0,8,5,6,8,0,0,0,0,3,2,8,6,0,0,0,0,0,0,11,4,0,0,0,0,0,6,14,0,1,0,0,0,3,16,15,12,15,7,0,0,2,13,9,8,9,7,0,2
0,0,6,12,12,12,2,0,0,1,16,12,12,12,5,0,0,5,12,5,1,0,0,0,0,8,16,16,14,0,0,0,0,2,6,0,16,1,0,0,0,0,0,0,15,1,0,0,0,0,8,11,13,0,0,0,0,0,9,9,3,0,0,0,5
0,0,9,6,0,0,0,0,0,0,16,4,0,0,0,0,0,2,15,0,0,0,0,0,0,6,12,1,2,0,0,0,0,7,15,14,16,11,1,0,0,4,16,10,4,16,5,0,0,0,16,11,8,16,6,0,0,0,6,14,14,9,0,0,6
0,1,9,12,12,15,6,0,0,1,16,11,8,8,4,0,0,6,16,5,4,2,0,0,0,7,16,16,16,15,2,0,0,0,2,2,3,14,6,0,0,0,0,0,2,14,6,0,0,2,11,8,12,13,2,0,0,1,11,16,10,2,0,0,5
0,0,0,11,16,10,0,0,0,0,0,15,16,8,0,0,0,0,7,16,16,6,0,0,0,4,16,16,16,4,0,0,0,1,4,12,16,4,0,0,0,0,0,9,16,7,0,0,0,0,0,11,16,15,0,0,0,0,0,8,14,11,2,0,1
0,0,2,15,16,10,0,0,0,0,1,12,14,16,0,0,0,0,0,0,5,16,2,0,0,0,0,0,8,15,1,0,0,0,7,8,14,15,4,0,0,5,16,16,16,15,2,0,0,1,4,14,12,0,0,0,0,0,3,15,5,0,0,0,7
0,0,7,15,12,5,0,0,0,0,15,7,6,16,2,0,0,3,16,3,10,16,6,0,0,0,14,16,16,11,2,0,0,0,1,14,16,3,0,0,0,0,2,14,15,12,0,0,0,0,12,8,8,16,0,0,0,0,9,16,14,10,0,0,8
0,0,10,11,10,2,0,0,0,0,16,14,14,10,0,0,0,3,16,13,12,9,0,0,0,4,16,16,14,15,2,0,0,0,0,0,0,12,4,0,0,0,0,0,0,13,7,0,0,0,7,8,14,14,1,0,0,0,10,13,9,0,0,0,5
0,0,1,12,16,3,0,0,0,0,7,11,8,12,0,0,0,2,14,1,0,14,1,0,0,4,14,0,0,11,7,0,0,3,13,0,0,5,8,0,0,0,13,4,0,9,7,0,0,0,10,13,8,14,1,0,0,0,1,9,14,6,0,0,0
0,0,4,15,16,15,2,0,0,0,16,12,10,15,9,0,0,2,16,5,0,9,11,0,0,0,15,6,0,8,10,0,0,1,16,7,0,13,6,0,0,2,16,10,4,16,0,0,0,0,10,16,16,8,0,0,0,0,2,14,12,2,0,0,0
0,0,14,10,0,0,0,0,0,2,16,14,4,0,0,0,0,0,9,8,8,0,0,0,0,0,0,10,4,0,0,0,0,0,2,15,2,0,0,0,0,2,13,9,0,2,1,0,0,8,16,13,13,16,5,0,0,1,9,15,16,16,7,0,2
0,0,0,10,16,13,7,0,0,0,2,9,10,15,11,0,0,0,0,0,0,13,8,0,0,0,1,7,9,16,5,0,0,0,7,16,16,15,5,0,0,0,0,0,14,3,0,0,0,0,0,6,16,1,0,0,0,0,0,16,8,0,0,0,7
0,0,4,14,13,3,0,0,0,1,15,11,16,9,0,0,0,2,15,0,10,14,0,0,0,0,13,11,13,16,4,0,0,0,1,11,12,14,7,0,0,0,0,0,0,10,9,0,0,3,16,10,6,9,12,0,0,0,6,9,12,13,6,0,9
0,2,11,16,5,0,0,0,0,10,14,12,12,0,0,0,0,3,2,8,11,0,0,0,0,0,0,11,12,0,0,0,0,0,1,13,16,10,0,0,0,0,0,0,4,16,5,0,0,0,8,6,6,16,10,0,0,2,12,13,12,10,1,0,3
0,0,0,10,13,3,0,0,0,0,0,13,16,7,0,0,0,0,4,16,16,5,0,0,0,2,16,16,16,6,0,0,0,7,16,16,16,11,0,0,0,0,0,8,16,12,0,0,0,0,0,15,16,14,0,0,0,0,0,8,13,9,0,0,1
0,0,5,14,16,15,2,0,0,0,12,14,11,16,5,0,0,0,3,0,8,15,0,0,0,0,0,3,15,11,0,0,0,1,11,16,16,15,6,0,0,1,13,16,16,13,3,0,0,0,3,16,9,0,0,0,0,0,6,16,2,0,0,0,7
0,0,6,13,2,0,0,0,0,3,15,14,8,0,0,0,0,8,6,5,12,0,0,0,0,3,2,4,10,0,0,0,0,0,0,8,8,0,0,0,0,0,0,13,4,0,0,0,0,0,10,16,16,16,7,0,0,0,7,12,10,13,7,0,2
0,0,11,7,0,0,0,0,0,3,16,4,0,0,0,0,0,2,15,2,0,0,0,0,0,3,16,4,0,0,0,0,0,8,16,16,16,10,1,0,0,5,16,7,3,16,8,0,0,0,13,14,11,16,6,0,0,0,9,16,11,2,0,0,6
0,0,3,14,16,16,4,0,0,0,4,9,10,16,5,0,0,0,0,0,7,16,2,0,0,0,3,8,13,16,7,0,0,1,16,16,16,16,9,0,0,0,7,11,15,3,0,0,0,0,0,15,12,0,0,0,0,0,5,16,5,0,0,0,7
0,0,0,6,15,10,1,0,0,0,1,11,16,16,5,0,0,0,8,16,16,16,6,0,0,8,16,16,16,16,6,0,0,0,3,7,16,16,4,0,0,0,0,4,16,16,4,0,0,0,0,6,16,16,7,0,0,0,0,4,14,14,6,0,1
0,0,4,14,11,2,0,0,0,0,8,11,5,16,0,0,0,0,8,13,9,15,6,0,0,0,3,16,16,12,1,0,0,0,11,14,12,0,0,0,0,4,11,1,15,3,0,0,0,6,11,4,7,12,0,0,0,1,8,14,16,9,0,0,8
0,0,7,15,13,2,0,0,0,4,16,6,13,8,0,0,0,0,7,1,13,7,0,0,0,0,0,2,16,11,0,0,0,0,0,1,12,15,6,0,0,0,0,0,0,5,11,0,0,3,13,9,7,13,7,0,0,0,6,13,15,9,1,0,3
0,0,5,12,12,5,0,0,0,0,13,4,5,16,0,0,0,0,15,1,12,14,0,0,0,0,9,16,16,6,0,0,0,0,7,16,16,1,0,0,0,1,13,4,7,11,0,0,0,2,13,1,5,16,0,0,0,0,6,9,9,6,0,0,8
0,1,11,14,0,0,0,0,0,4,15,14,6,0,0,0,0,6,9,7,8,0,0,0,0,3,5,6,11,0,0,0,0,0,0,9,8,0,0,0,0,0,1,14,7,0,0,0,0,1,15,16,16,16,6,0,0,0,8,8,12,13,4,0,2
0,0,5,16,16,16,6,0,0,0,5,10,11,16,3,0,0,0,0,0,10,14,0,0,0,0,1,4,16,10,0,0,0,0,10,16,16,16,6,0,0,0,6,14,13,12,3,0,0,0,2,16,6,0,0,0,0,0,7,14,1,0,0,0,7
0,0,1,9,13,1,0,0,0,0,11,11,13,9,0,0,0,2,15,0,4,16,4,0,0,8,9,0,0,13,6,0,0,5,12,0,0,9,8,0,0,0,15,3,0,8,8,0,0,0,6,14,4,11,7,0,0,0,0,11,16,13,2,0,0
0,0,5,13,15,12,1,0,0,0,16,12,4,4,1,0,0,6,16,5,4,3,0,0,0,6,16,16,16,15,2,0,0,0,3,0,0,12,6,0,0,0,0,0,0,14,5,0,0,0,0,0,8,16,1,0,0,0,4,14,16,7,0,0,5
0,0,10,12,12,5,0,0,0,0,8,16,16,14,0,0,0,0,8,16,16,11,0,0,0,0,13,16,16,7,0,0,0,0,9,16,16,1,0,0,0,0,9,16,16,7,0,0,0,1,15,16,16,7,0,0,0,0,7,12,12,9,0,0,1
0,0,6,13,12,2,0,0,0,6,16,12,16,13,3,0,0,7,13,5,16,16,8,0,0,1,14,16,15,7,0,0,0,0,3,16,14,1,0,0,0,0,4,16,16,11,0,0,0,0,6,16,13,16,4,0,0,0,7,15,12,10,0,0,8
0,0,4,11,10,2,0,0,0,2,16,5,14,9,0,0,0,1,15,4,13,16,3,0,0,0,4,16,15,4,0,0,0,0,2,16,11,0,0,0,0,0,9,11,14,7,0,0,0,0,14,3,5,15,0,0,0,0,5,8,12,10,0,0,8
0,0,8,15,12,3,0,0,0,5,16,6,10,14,0,0,0,7,14,7,14,16,2,0,0,0,11,16,13,6,1,0,0,0,11,16,12,0,0,0,0,0,16,7,10,12,0,0,0,4,16,0,2,16,6,0,0,1,10,16,16,15,2,0,8
0,0,2,9,16,5,0,0,0,0,14,9,10,15,4,0,0,4,16,2,10,16,11,0,0,2,15,16,16,9,0,0,0,0,2,16,16,11,0,0,0,0,10,9,7,16,0,0,0,0,10,11,8,16,0,0,0,0,2,15,14,8,0,0,8
0,0,0,5,14,0,0,0,0,0,0,14,11,0,0,0,0,0,1,16,5,0,0,0,0,0,5,16,1,0,0,0,0,0,12,16,12,4,0,0,0,0,16,16,12,15,7,0,0,0,7,16,11,12,14,0,0,0,0,5,15,16,11,0,6
0,0,0,2,12,3,0,0,0,0,0,9,11,0,0,0,0,0,2,15,6,6,7,0,0,0,13,7,0,16,3,0,0,7,15,3,2,16,2,0,0,13,16,16,16,13,1,0,0,1,4,5,16,6,0,0,0,0,0,4,16,3,0,0,4
0,1,10,16,15,3,0,0,0,8,14,4,16,12,0,0,0,8,13,1,16,12,0,0,0,2,13,16,16,13,0,0,0,0,0,3,9,16,0,0,0,0,6,4,4,16,4,0,0,0,16,13,10,16,5,0,0,0,7,12,13,10,1,0,9
0,0,0,9,16,9,0,0,0,0,0,14,16,11,0,0,0,0,5,16,16,8,0,0,0,3,15,16,16,6,0,0,0,5,15,16,16,7,0,0,0,0,4,16,16,5,0,0,0,0,1,16,16,12,0,0,0,0,1,12,13,12,0,0,1
0,0,4,14,15,9,1,0,0,0,0,14,16,16,4,0,0,0,0,15,16,16,0,0,0,0,7,16,16,13,0,0,0,2,16,16,16,12,0,0,0,0,4,15,16,8,0,0,0,0,5,16,16,12,0,0,0,0,4,14,15,5,0,0,1
0,0,2,15,11,1,0,0,0,0,9,12,14,13,2,0,0,2,15,2,1,13,6,0,0,7,16,0,0,9,8,0,0,4,16,0,0,10,7,0,0,3,16,3,2,14,2,0,0,0,14,14,14,9,0,0,0,0,3,11,13,1,0,0,0
0,0,11,15,8,0,0,0,0,6,16,10,16,0,0,0,0,2,7,8,16,0,0,0,0,0,0,13,16,2,0,0,0,0,0,8,14,13,1,0,0,0,3,0,3,16,5,0,0,0,16,10,12,15,2,0,0,0,12,15,9,2,0,0,3
0,0,0,14,8,0,0,0,0,0,3,16,5,0,0,0,0,0,12,12,10,14,0,0,0,4,16,6,13,11,0,0,0,12,16,7,16,14,3,0,0,15,16,16,16,16,6,0,0,2,5,13,16,4,0,0,0,0,0,15,11,0,0,0,4
0,0,0,5,15,0,0,0,0,0,1,14,12,7,3,0,0,0,10,15,5,16,6,0,0,5,16,7,5,16,3,0,0,12,16,13,15,16,9,0,0,4,12,13,16,13,3,0,0,0,0,7,16,5,0,0,0,0,0,7,15,0,0,0,4
0,1,11,16,8,0,0,0,0,8,16,5,16,3,0,0,0,8,11,0,13,10,0,0,0,3,15,9,11,15,2,0,0,0,1,7,7,15,7,0,0,0,0,0,0,8,12,0,0,1,10,5,4,11,12,0,0,0,8,15,16,15,6,0,9
0,0,5,13,1,0,0,0,0,0,13,11,0,0,0,0,0,0,16,2,0,0,0,0,0,5,16,0,0,0,0,0,0,8,15,9,14,6,0,0,0,7,16,16,10,16,2,0,0,1,16,16,4,16,5,0,0,0,4,14,16,13,0,0,6
0,0,1,11,16,16,13,0,0,0,3,7,4,9,13,0,0,0,0,0,0,10,6,0,0,0,2,4,8,15,6,0,0,0,9,13,15,14,5,0,0,0,1,2,15,0,0,0,0,0,0,12,9,0,0,0,0,0,2,15,3,0,0,0,7
0,0,5,12,14,16,8,0,0,0,16,16,13,12,4,0,0,0,16,14,8,2,0,0,0,1,16,16,16,15,2,0,0,5,16,9,6,16,4,0,0,0,0,0,4,16,4,0,0,0,3,12,15,15,2,0,0,0,5,13,13,2,0,0,5
0,0,2,12,15,5,0,0,0,0,11,9,9,15,3,0,0,0,15,1,0,15,4,0,0,4,10,0,0,13,3,0,0,3,14,0,0,12,8,0,0,0,15,3,0,13,5,0,0,0,10,13,5,16,2,0,0,0,1,13,16,8,0,0,0
0,1,13,9,0,0,0,0,0,10,14,15,2,0,0,0,0,8,6,10,6,0,0,0,0,2,3,10,5,0,0,0,0,0,3,16,2,0,0,0,0,0,6,11,0,0,0,0,0,4,16,15,12,12,6,0,0,0,10,12,12,13,11,0,2
0,2,12,8,0,0,0,0,0,11,16,16,0,0,0,0,0,7,8,14,6,0,0,0,0,1,2,12,8,0,0,0,0,0,0,14,4,0,0,0,0,0,2,16,1,0,0,0,0,2,13,16,9,15,11,0,0,2,14,16,13,15,9,0,2
0,0,13,10,8,8,3,0,0,3,16,16,13,11,3,0,0,5,16,8,0,0,0,0,0,6,16,16,15,6,0,0,0,0,3,2,10,15,3,0,0,0,0,0,5,16,2,0,0,0,4,8,16,8,0,0,0,0,14,14,4,0,0,0,5
0,0,2,11,15,16,15,0,0,0,8,13,12,16,13,0,0,0,0,0,6,16,5,0,0,0,0,6,13,16,7,0,0,0,9,16,16,16,9,0,0,0,5,9,16,5,0,0,0,0,0,11,16,1,0,0,0,0,1,16,9,0,0,0,7
0,0,10,16,15,12,0,0,0,0,14,9,4,4,0,0,0,0,16,0,0,0,0,0,0,5,16,12,12,8,0,0,0,7,15,10,8,15,6,0,0,2,1,0,2,16,4,0,0,0,3,10,14,12,1,0,0,0,10,14,6,0,0,0,5
0,0,6,13,15,8,0,0,0,4,16,12,12,16,5,0,0,6,16,2,5,16,5,0,0,1,15,13,13,16,1,0,0,0,0,7,13,16,1,0,0,0,0,0,4,16,0,0,0,4,16,11,7,16,0,0,0,1,10,13,16,13,0,0,9
0,0,0,9,16,11,0,0,0,0,6,15,12,16,6,0,0,0,16,11,0,9,12,0,0,5,16,3,0,8,8,0,0,4,16,0,0,8,8,0,0,2,16,7,0,12,5,0,0,0,11,16,14,16,1,0,0,0,1,9,13,6,0,0,0
0,0,5,15,2,0,0,0,0,1,15,10,0,0,0,0,0,8,16,2,0,0,0,0,0,10,13,1,4,6,0,0,0,8,16,13,16,15,9,0,0,6,16,13,1,4,12,0,0,1,16,15,3,8,11,0,0,0,5,12,16,16,4,0,6
0,0,1,12,16,2,0,0,0,0,5,16,15,0,0,0,0,0,13,16,11,0,0,0,0,8,16,16,12,0,0,0,0,7,10,16,15,0,0,0,0,0,0,14,16,2,0,0,0,0,0,13,16,7,0,0,0,0,0,12,16,9,0,0,1
0,0,5,8,11,13,10,0,0,0,12,12,7,4,4,0,0,3,12,0,4,0,0,0,0,5,16,16,16,14,0,0,0,1,7,1,0,14,6,0,0,0,0,0,0,12,4,0,0,7,11,1,6,12,1,0,0,0,8,13,10,2,0,0,5
0,0,2,12,13,7,0,0,0,2,14,5,0,13,2,0,0,10,6,0,2,16,4,0,0,6,13,7,9,16,4,0,0,0,8,12,8,13,4,0,0,0,0,0,0,7,7,0,0,0,0,0,0,4,11,0,0,0,1,14,11,13,12,0,9
0,0,8,16,15,9,0,0,0,2,15,5,3,16,6,0,0,8,12,0,3,16,8,0,0,8,15,10,14,16,5,0,0,1,9,10,3,15,7,0,0,0,0,0,0,15,5,0,0,0,1,4,0,13,7,0,0,0,5,16,16,16,2,0,9
0,0,3,15,15,3,0,0,0,2,14,10,13,9,0,0,0,6,16,1,6,12,0,0,0,9,14,7,14,13,0,0,0,2,12,12,14,14,0,0,0,0,0,0,6,16,0,0,0,0,0,4,5,16,5,0,0,0,2,12,16,16,4,0,9
0,0,0,7,16,2,0,1,0,0,0,11,13,1,13,8,0,0,6,16,4,8,15,1,0,0,15,16,16,16,12,0,0,0,8,8,13,16,3,0,0,0,0,0,13,11,0,0,0,0,0,4,16,4,0,0,0,0,0,9,12,0,0,0,4
0,0,0,8,16,16,16,9,0,0,0,8,8,9,16,8,0,0,0,0,0,7,16,1,0,0,0,0,1,12,14,0,0,0,3,14,16,16,6,0,0,0,4,6,11,10,0,0,0,0,0,3,15,3,0,0,0,0,0,10,11,0,0,0,7
0,0,0,8,15,1,0,0,0,0,0,8,16,5,0,0,0,0,0,14,16,4,0,0,0,0,8,16,16,4,0,0,0,2,15,12,16,6,0,0,0,3,8,1,16,10,0,0,0,0,0,5,15,16,1,0,0,0,0,9,16,16,11,0,1
0,0,1,9,16,16,16,8,0,0,7,15,9,12,13,1,0,0,0,0,0,14,6,0,0,0,0,0,5,15,1,0,0,0,13,16,16,16,8,0,0,1,9,8,14,5,0,0,0,0,0,7,13,0,0,0,0,0,0,14,6,0,0,0,7
0,2,14,16,9,0,0,0,0,10,15,10,16,0,0,0,0,8,12,0,16,5,0,0,0,3,3,3,16,5,0,0,0,0,0,5,16,1,0,0,0,0,0,11,13,0,0,0,0,0,7,16,13,11,11,1,0,1,15,16,16,16,16,5,2
0,1,12,16,16,8,0,0,0,8,14,8,16,8,0,0,0,1,2,9,15,3,0,0,0,0,12,15,3,0,0,0,0,0,10,15,9,1,0,0,0,0,1,9,16,11,0,0,0,0,1,0,3,16,4,0,0,2,15,16,16,15,4,0,3
0,0,1,16,13,0,0,0,0,0,3,16,15,0,0,0,0,0,12,16,16,0,0,0,0,3,16,16,16,0,0,0,0,7,7,12,16,0,0,0,0,0,0,7,16,3,0,0,0,0,0,10,16,14,1,0,0,0,2,13,16,16,12,0,1
0,0,0,7,15,1,0,0,0,0,1,15,5,2,4,0,0,0,10,10,2,16,6,0,0,4,16,3,9,14,0,0,1,15,14,12,15,10,0,0,5,15,12,11,16,4,0,0,0,0,0,6,15,1,0,0,0,0,0,9,12,0,0,0,4
0,0,9,15,15,3,0,0,0,8,15,11,16,6,0,0,0,2,1,12,15,1,0,0,0,0,6,16,7,0,0,0,0,0,2,15,15,3,0,0,0,0,0,1,7,15,5,0,0,0,14,1,0,12,12,0,0,0,8,16,16,16,10,0,3
0,0,11,16,10,0,0,0,0,2,16,14,15,0,0,0,0,0,13,7,16,1,0,0,0,0,0,6,16,1,0,0,0,0,0,10,12,0,0,0,0,0,1,15,8,0,0,0,0,0,12,16,15,10,4,0,0,0,11,11,8,13,16,6,2
0,0,0,3,15,5,0,0,0,0,1,12,15,1,6,5,0,0,10,16,2,5,16,4,0,2,16,10,0,13,10,0,0,12,16,11,11,16,1,0,0,4,14,16,16,9,0,0,0,0,0,7,16,1,0,0,0,0,0,6,14,0,0,0,4
0,0,8,16,16,8,0,0,0,6,14,8,16,9,0,0,0,3,3,9,13,3,0,0,0,0,0,11,15,2,0,0,0,0,0,1,13,13,1,0,0,0,0,0,1,16,5,0,0,0,7,8,4,12,7,0,0,0,10,16,16,16,4,0,3
0,0,0,2,15,5,0,0,0,0,0,10,14,0,3,0,0,0,3,16,3,6,16,2,0,1,14,8,0,14,10,0,1,12,14,8,11,16,5,0,5,16,16,15,16,11,1,0,1,3,0,1,16,6,0,0,0,0,0,5,15,1,0,0,4
0,0,9,16,15,1,0,0,0,6,14,9,16,4,0,0,0,3,4,11,15,0,0,0,0,0,8,16,1,0,0,0,0,0,3,14,10,0,0,0,0,0,0,2,15,8,0,0,0,0,5,6,5,16,5,0,0,0,13,16,16,16,5,0,3
0,1,14,15,2,0,0,0,0,9,15,15,12,0,0,0,0,9,12,8,15,0,0,0,0,3,5,9,10,0,0,0,0,0,0,11,11,0,0,0,0,0,1,15,7,0,0,0,0,0,7,16,11,7,4,0,0,1,15,16,16,16,16,5,2
0,0,12,16,10,0,0,0,0,3,16,6,14,9,0,0,0,7,14,0,3,15,3,0,0,9,12,0,0,8,10,0,0,8,12,0,0,4,12,0,0,7,13,0,0,5,12,0,0,2,16,6,2,13,9,0,0,0,9,16,16,13,0,0,0
0,0,15,16,13,2,0,0,0,3,15,2,10,15,2,0,0,8,12,0,0,10,8,0,0,8,12,0,0,4,12,0,0,9,12,0,0,4,12,0,0,8,12,0,0,9,8,0,0,6,15,4,11,14,2,0,0,0,12,16,15,3,0,0,0
0,0,11,16,16,16,6,0,0,4,16,13,10,4,2,0,0,4,16,0,0,0,0,0,0,1,15,10,0,0,0,0,0,0,6,15,9,0,0,0,0,2,1,3,16,1,0,0,0,9,11,5,16,2,0,0,0,1,11,16,14,0,0,0,5
0,0,2,14,11,0,0,0,0,0,13,7,9,6,0,0,0,0,12,0,1,12,2,0,0,3,12,0,2,15,4,0,0,1,13,14,12,14,7,0,0,0,0,0,0,12,4,0,0,0,0,0,0,10,3,0,0,0,2,14,12,14,0,0,9
0,0,0,14,7,0,0,0,0,0,0,16,12,0,0,0,0,0,5,16,13,0,0,0,0,1,14,14,16,1,0,0,0,3,3,1,16,5,0,0,0,0,0,0,11,8,0,0,0,0,0,3,13,13,0,0,0,0,0,12,16,16,8,0,1
0,0,6,16,15,2,0,0,0,1,16,10,7,2,0,0,0,6,15,0,0,0,0,0,0,8,15,0,0,0,0,0,0,9,12,5,11,4,0,0,0,5,15,16,14,14,10,0,0,0,11,15,1,6,16,0,0,0,5,12,16,16,8,0,6
0,0,0,7,15,6,0,0,0,0,7,16,4,1,3,0,0,2,16,10,0,14,13,0,0,6,16,7,4,16,8,0,0,6,16,16,14,16,6,0,0,1,7,9,16,13,0,0,0,0,0,4,16,7,0,0,0,0,0,10,12,0,0,0,4
0,4,16,16,6,0,0,0,0,4,14,8,16,0,0,0,0,3,8,5,16,0,0,0,0,0,0,5,16,0,0,0,0,0,0,14,9,0,0,0,0,0,5,15,2,0,0,0,0,1,13,15,11,9,7,0,0,6,16,14,12,12,12,0,2
0,1,13,16,15,1,0,0,0,5,13,10,16,5,0,0,0,0,0,10,14,1,0,0,0,0,7,16,3,0,0,0,0,0,4,16,13,1,0,0,0,0,0,5,16,12,0,0,0,0,6,6,8,16,6,0,0,0,15,16,16,15,1,0,3
0,2,13,16,13,9,2,0,0,1,13,5,4,4,2,0,0,0,12,5,0,0,0,0,0,0,14,16,13,3,0,0,0,0,1,4,8,12,0,0,0,0,0,0,3,16,0,0,0,7,8,4,8,13,0,0,0,3,10,14,12,4,0,0,5
0,0,11,16,16,10,1,0,0,8,16,10,8,10,6,0,0,14,7,0,0,0,0,0,0,9,14,0,0,0,0,0,0,2,15,10,0,0,0,0,0,0,2,15,12,0,0,0,0,3,11,10,16,1,0,0,0,1,11,16,16,2,0,0,5
0,0,0,13,15,2,0,0,0,0,4,16,14,1,0,0,0,0,15,16,11,0,0,0,0,6,9,16,14,0,0,0,0,0,0,10,15,2,0,0,0,0,0,6,16,4,0,0,0,0,0,1,16,11,0,0,0,0,0,15,16,15,0,0,1
0,0,11,14,4,0,0,0,0,3,13,2,12,0,0,0,0,4,12,2,8,0,0,0,0,0,12,12,6,0,0,0,0,0,8,16,10,1,0,0,0,2,15,1,5,10,8,0,0,0,10,0,0,2,12,0,0,0,9,11,12,14,4,0,8
0,0,1,10,16,16,4,0,0,0,7,8,6,16,7,0,0,0,0,0,3,16,5,0,0,1,4,4,10,14,3,0,0,12,16,16,16,10,5,0,0,2,0,9,13,1,0,0,0,0,1,16,7,0,0,0,0,0,0,15,4,0,0,0,7
0,0,0,10,16,16,16,9,0,0,0,2,5,10,16,12,0,0,0,0,0,6,16,2,0,0,0,0,0,14,10,0,0,1,8,14,16,16,5,0,0,5,10,8,16,10,1,0,0,0,0,5,14,1,0,0,0,0,0,13,9,0,0,0,7
0,0,0,4,15,6,0,3,0,0,0,13,14,1,11,11,0,0,8,16,4,4,16,4,0,2,16,6,3,11,13,0,0,12,16,16,16,16,7,0,0,11,9,7,13,14,1,0,0,0,0,1,14,5,0,0,0,0,0,7,12,0,0,0,4
0,1,10,16,16,16,16,5,0,1,16,13,6,1,1,0,0,4,16,15,10,3,0,0,0,1,8,11,16,16,2,0,0,0,1,0,1,14,7,0,0,7,9,0,0,12,8,0,0,5,16,3,0,15,5,0,0,0,9,16,16,13,2,0,5
0,0,8,16,12,1,0,0,0,3,15,5,13,13,0,0,0,10,12,0,1,15,6,0,0,12,9,0,0,7,12,0,0,12,10,0,0,5,12,0,0,8,14,0,0,7,12,0,0,3,16,9,5,15,5,0,0,0,9,16,16,11,0,0,0
0,0,6,16,16,10,0,0,0,1,15,11,6,15,3,0,0,7,16,2,0,11,9,0,0,12,14,0,0,9,11,0,0,8,16,0,0,8,12,0,0,4,16,5,0,9,11,0,0,1,14,13,6,16,3,0,0,0,5,15,16,6,0,0,0
0,0,4,16,14,0,0,0,0,0,8,16,6,0,0,0,0,1,15,16,4,0,0,0,0,10,16,16,4,0,0,0,0,0,5,16,10,0,0,0,0,0,1,16,12,0,0,0,0,0,1,15,16,6,1,0,0,0,6,16,16,16,4,0,1
0,0,1,11,16,16,15,1,0,0,6,9,8,14,14,0,0,0,0,0,0,12,10,0,0,0,1,4,6,16,4,0,0,0,10,16,16,15,7,0,0,0,3,5,16,6,0,0,0,0,0,9,15,0,0,0,0,0,1,15,4,0,0,0,7
0,0,12,16,9,0,0,0,0,3,16,7,5,0,0,0,0,11,13,0,0,0,0,0,0,9,12,0,0,0,0,0,0,9,13,10,15,8,0,0,0,5,16,15,8,11,10,0,0,4,16,12,1,5,16,0,0,1,10,15,16,16,10,0,6
0,0,4,13,15,2,0,0,0,2,16,11,10,8,1,0,0,8,15,1,0,13,10,0,0,8,15,9,13,16,9,0,0,0,10,16,12,16,4,0,0,0,0,0,4,16,4,0,0,0,0,2,5,16,7,0,0,0,4,16,16,16,5,0,9
0,0,0,3,14,7,0,0,0,0,0,12,12,0,3,8,0,0,9,14,0,2,16,6,0,4,16,2,0,10,14,0,1,15,8,3,8,16,4,0,7,16,16,16,16,12,0,0,2,9,5,2,15,3,0,0,0,0,0,5,14,0,0,0,4
0,0,13,15,4,0,0,0,0,8,15,8,10,0,0,0,0,11,12,0,0,0,0,0,0,12,7,0,4,1,0,0,0,11,10,11,16,14,3,0,0,4,16,16,6,7,14,0,0,1,16,14,1,1,14,3,0,0,10,13,16,15,15,0,6
0,0,7,15,13,9,2,0,0,4,15,0,0,10,9,0,0,1,15,5,3,13,5,0,0,0,7,16,13,1,0,0,0,0,10,12,15,4,0,0,0,0,8,1,8,13,0,0,0,11,11,4,1,16,0,0,0,1,9,12,16,12,0,0,8
0,0,7,13,14,2,0,0,0,5,12,0,4,7,0,0,0,8,8,0,0,16,3,0,0,5,11,0,1,16,1,0,0,0,10,13,14,15,5,0,0,0,0,0,0,10,8,0,0,0,0,0,0,11,6,0,0,0,6,13,12,9,0,0,9
0,0,7,15,3,0,0,0,0,0,15,6,0,0,0,0,0,6,13,0,0,0,0,0,0,7,13,0,0,0,0,0,0,8,11,7,13,11,2,0,0,3,16,15,5,4,11,0,0,0,16,6,0,7,11,0,0,0,8,12,15,10,1,0,6
0,2,12,16,16,3,0,0,0,11,10,5,16,4,0,0,0,0,0,11,13,0,0,0,0,0,1,15,9,0,0,0,0,0,0,4,16,5,0,0,0,0,0,0,6,15,3,0,0,0,3,1,0,11,11,0,0,1,16,16,16,16,9,0,3
0,0,1,15,16,13,1,0,0,3,11,11,3,13,9,0,0,12,13,0,0,8,12,0,0,9,15,0,0,8,12,0,0,4,16,2,0,8,12,0,0,2,15,9,0,8,12,0,0,0,10,16,5,14,8,0,0,0,1,12,16,15,1,0,0
0,0,6,12,12,2,0,0,0,4,14,0,9,6,0,0,0,5,13,0,12,3,0,0,0,0,7,14,12,0,0,0,0,0,1,12,13,10,0,0,0,0,10,3,1,12,6,0,0,7,10,0,0,11,8,0,0,1,10,13,12,9,1,0,8
0,0,9,13,16,6,0,0,0,2,16,14,16,2,0,0,0,0,2,14,8,0,0,0,0,0,4,16,13,6,0,0,0,0,0,4,12,16,6,0,0,0,0,0,0,13,7,0,0,0,5,7,12,15,1,0,0,0,12,16,11,1,0,0,3
0,1,12,16,3,0,0,0,0,5,14,14,4,0,0,0,0,9,7,7,8,0,0,0,0,6,2,8,8,0,0,0,0,0,0,10,5,0,0,0,0,0,0,14,2,0,0,0,0,0,9,16,11,8,5,0,0,2,14,11,12,16,9,0,2
0,0,8,16,14,4,0,0,0,1,15,7,9,15,2,0,0,8,11,0,0,12,9,0,0,9,5,0,0,6,12,0,0,9,8,0,0,4,12,0,0,8,12,0,0,9,12,0,0,3,16,6,7,15,5,0,0,0,8,16,16,12,0,0,0
0,0,5,14,9,0,0,0,0,1,14,4,9,0,0,0,0,0,16,0,6,4,0,0,0,0,13,3,13,2,0,0,0,0,1,13,13,0,0,0,0,0,4,14,9,13,3,0,0,0,13,3,0,3,15,0,0,0,5,12,12,15,4,0,8
0,0,1,15,16,16,15,0,0,0,0,8,8,14,10,0,0,0,0,0,4,15,1,0,0,0,0,3,12,12,2,0,0,2,12,16,16,14,7,0,0,3,6,9,10,0,0,0,0,0,0,13,6,0,0,0,0,0,2,16,2,0,0,0,7
0,2,15,9,0,0,0,0,0,8,13,15,0,0,0,0,0,10,4,14,3,0,0,0,0,11,2,12,4,0,0,0,0,1,0,12,4,0,0,0,0,0,2,16,0,0,0,0,0,0,11,14,6,6,5,0,0,2,16,16,16,16,9,0,2
0,0,6,13,12,2,0,0,0,0,14,2,2,10,0,0,0,4,10,0,6,13,0,0,0,4,10,0,8,12,0,0,0,0,11,12,13,13,0,0,0,0,0,3,0,11,0,0,0,0,0,0,0,9,4,0,0,0,5,16,16,13,2,0,9
0,0,8,12,12,0,0,0,0,5,14,2,9,8,0,0,0,4,14,1,11,4,0,0,0,0,7,14,12,1,0,0,0,0,11,11,12,4,0,0,0,3,14,0,2,12,5,0,0,4,12,0,0,1,12,0,0,0,9,11,12,12,4,0,8
0,2,15,13,11,8,1,0,0,7,16,14,13,12,3,0,0,8,16,4,0,0,0,0,0,4,16,16,14,3,0,0,0,0,3,4,13,14,0,0,0,0,0,0,1,15,7,0,0,0,7,3,2,13,10,0,0,2,15,16,16,16,9,0,5
0,0,8,16,9,0,0,0,0,2,15,9,15,3,0,0,0,6,14,0,11,11,0,0,0,7,15,10,16,14,0,0,0,2,13,11,5,16,3,0,0,0,0,0,0,13,6,0,0,0,0,1,4,14,4,0,0,0,10,16,13,5,0,0,9
0,0,1,11,16,16,4,0,0,0,8,10,8,16,3,0,0,0,0,0,3,14,0,0,0,0,0,0,8,8,0,0,0,0,7,11,16,16,8,0,0,11,13,12,11,0,0,0,0,0,0,8,9,0,0,0,0,0,0,14,2,0,0,0,7
0,0,8,12,16,15,8,0,0,3,15,3,0,0,0,0,0,4,12,0,0,0,0,0,0,4,14,12,12,3,0,0,0,0,7,5,5,14,2,0,0,3,2,0,0,11,4,0,0,2,11,0,0,13,2,0,0,0,11,13,12,5,0,0,5
0,0,9,15,2,0,0,0,0,3,16,10,1,0,0,0,0,7,14,0,0,0,0,0,0,9,11,3,8,8,1,0,0,10,11,13,14,15,8,0,0,7,16,14,0,7,12,0,0,3,16,10,4,13,10,0,0,0,10,16,16,13,1,0,6
0,0,0,8,16,6,0,0,0,0,5,15,16,1,0,0,0,5,16,16,13,0,0,0,0,4,9,16,14,0,0,0,0,0,0,16,14,0,0,0,0,0,0,12,15,0,0,0,0,0,0,10,16,5,0,0,0,0,0,6,16,15,1,0,1
0,0,12,16,16,15,2,0,0,0,5,8,10,16,7,0,0,0,0,0,8,15,1,0,0,0,10,13,15,15,8,0,0,0,12,16,15,12,5,0,0,0,1,14,6,0,0,0,0,0,6,16,2,0,0,0,0,0,12,11,0,0,0,0,7
0,0,9,14,8,0,0,0,0,7,12,6,15,3,0,0,0,3,1,0,12,8,0,0,0,0,0,7,15,11,0,0,0,0,0,10,11,15,5,0,0,0,0,0,0,9,8,0,0,0,4,7,4,14,5,0,0,0,8,14,16,14,1,0,3
0,0,11,12,12,14,4,0,0,0,16,8,4,4,5,0,0,2,16,8,4,0,0,0,0,5,16,15,15,9,0,0,0,1,4,1,4,16,3,0,0,0,0,0,0,14,7,0,0,3,7,6,9,16,2,0,0,2,11,12,13,7,0,0,5
0,3,13,12,12,13,2,0,0,3,16,8,5,7,3,0,0,3,14,2,3,0,0,0,0,4,16,15,16,9,0,0,0,0,4,0,2,15,2,0,0,0,0,0,0,12,5,0,0,1,6,4,6,15,5,0,0,3,13,16,16,10,0,0,5
0,0,5,14,11,3,0,0,0,2,16,14,16,14,0,0,0,4,13,4,2,13,4,0,0,8,9,0,0,8,8,0,0,8,10,0,0,7,8,0,0,4,13,0,0,9,8,0,0,0,14,9,4,14,6,0,0,0,4,16,16,8,0,0,0
0,0,0,3,15,1,0,0,0,0,0,7,14,0,0,0,0,0,0,12,10,0,0,0,0,0,3,15,3,0,0,0,0,0,11,14,8,6,0,0,0,5,16,11,16,11,0,0,1,13,16,16,16,16,4,0,0,4,4,7,16,5,0,0,4
0,2,12,12,13,12,1,0,0,8,14,8,4,6,0,0,0,8,14,8,7,1,0,0,0,8,15,12,14,12,0,0,0,0,0,0,1,14,4,0,0,0,0,0,0,12,8,0,0,2,8,4,6,15,7,0,0,0,11,16,15,7,0,0,5
0,1,12,12,1,0,0,0,0,4,14,12,10,0,0,0,0,7,11,4,12,0,0,0,0,2,12,7,12,0,0,0,0,0,0,8,12,0,0,0,0,0,1,14,9,0,0,0,0,0,13,16,16,15,6,0,0,0,9,12,12,12,7,0,2
0,0,0,5,15,1,0,0,0,0,0,11,13,0,0,0,0,0,0,14,10,0,0,0,0,0,7,15,4,0,0,0,0,1,13,9,13,6,0,0,1,12,16,14,16,14,3,0,1,11,12,14,16,12,1,0,0,0,0,8,15,0,0,0,4
0,0,0,13,5,0,0,0,0,0,8,15,3,0,0,0,0,0,12,8,0,0,0,0,0,3,16,13,12,5,0,0,0,5,16,12,12,15,5,0,0,4,12,0,0,8,12,0,0,1,13,10,5,12,14,0,0,0,2,11,14,12,2,0,6
0,0,0,0,11,9,1,0,0,0,0,0,14,15,0,0,0,1,7,11,16,12,0,0,0,6,15,12,16,13,0,0,0,0,0,0,16,12,0,0,0,0,0,0,13,15,1,0,0,0,0,0,12,16,2,0,0,0,0,0,9,16,4,0,1
0,0,0,9,6,0,0,0,0,0,3,15,5,0,0,0,0,0,14,9,0,0,0,0,0,2,16,6,8,2,0,0,0,5,16,16,12,15,4,0,0,3,16,5,0,5,12,0,0,0,8,14,3,3,16,0,0,0,0,9,16,16,10,0,6
0,0,1,13,4,0,0,0,0,0,10,11,0,0,0,0,0,1,16,3,0,0,0,0,0,3,16,16,10,3,0,0,0,6,16,11,10,14,1,0,0,4,16,1,0,7,11,0,0,1,13,7,0,9,12,0,0,0,1,13,16,15,5,0,6
0,1,8,15,13,1,0,0,0,6,14,9,16,4,0,0,0,3,6,1,14,4,0,0,0,0,4,14,16,3,0,0,0,0,9,12,14,16,1,0,0,0,0,0,0,16,8,0,0,3,12,11,10,16,7,0,0,1,10,14,15,10,0,0,3
0,0,4,13,16,7,0,0,0,1,15,13,16,15,1,0,0,5,13,0,7,14,4,0,0,6,9,0,0,8,7,0,0,5,11,0,0,8,8,0,0,4,13,0,0,8,8,0,0,0,14,12,6,16,4,0,0,0,3,16,15,5,0,0,0
0,0,7,15,11,0,0,0,0,5,14,4,12,14,3,0,0,8,11,0,0,16,4,0,0,2,15,9,11,16,4,0,0,0,5,10,8,12,8,0,0,0,0,0,0,9,8,0,0,0,12,7,4,15,7,0,0,0,7,16,15,8,0,0,9
0,0,7,15,16,16,9,0,0,2,15,6,15,15,11,0,0,1,13,0,7,15,3,0,0,1,14,12,15,3,0,0,0,0,10,16,16,4,0,0,0,2,13,2,10,12,0,0,0,1,16,5,8,16,0,0,0,0,8,16,16,7,0,0,8
0,0,7,15,12,1,0,0,0,3,15,5,10,11,0,0,0,0,8,0,4,16,0,0,0,0,0,5,13,9,0,0,0,0,0,8,13,13,1,0,0,0,0,0,1,14,6,0,0,5,15,3,0,15,8,0,0,0,9,16,16,14,3,0,3
0,0,0,15,4,0,0,0,0,0,8,14,0,0,0,0,0,0,14,7,0,0,0,0,0,1,16,9,8,2,0,0,0,2,16,16,15,15,2,0,0,3,16,7,0,6,12,0,0,0,11,12,4,7,15,0,0,0,1,9,16,16,6,0,6
0,0,11,16,16,12,5,0,0,1,16,10,8,8,5,0,0,2,16,10,7,1,0,0,0,3,16,13,14,12,1,0,0,0,5,0,2,15,5,0,0,0,0,0,0,13,7,0,0,0,6,5,10,16,2,0,0,0,12,14,12,6,0,0,5
0,0,10,16,15,13,10,0,0,0,4,4,6,16,6,0,0,0,0,0,8,13,0,0,0,0,9,16,16,16,6,0,0,0,5,13,14,13,5,0,0,0,1,14,3,0,0,0,0,0,6,16,0,0,0,0,0,0,9,10,0,0,0,0,7
0,3,16,15,4,0,0,0,0,8,13,12,12,0,0,0,0,9,8,8,12,0,0,0,0,1,5,5,16,0,0,0,0,0,0,11,12,0,0,0,0,0,1,16,8,0,0,0,0,3,14,16,13,15,12,0,0,3,16,16,16,16,15,0,2
0,0,4,13,7,4,4,0,0,0,12,12,13,16,6,0,0,0,11,0,6,13,0,0,0,0,4,4,13,5,0,0,0,0,16,16,16,16,4,0,0,0,0,12,10,10,1,0,0,0,2,14,2,0,0,0,0,0,6,10,0,0,0,0,7
0,0,6,15,11,3,0,0,0,1,14,16,16,14,0,0,0,4,16,1,9,16,2,0,0,6,16,0,0,13,7,0,0,5,13,0,0,12,8,0,0,4,16,1,0,14,8,0,0,0,14,10,10,15,1,0,0,0,4,13,16,8,0,0,0
0,0,2,13,6,0,0,0,0,0,11,11,3,0,0,0,0,1,16,3,0,0,0,0,0,3,16,11,5,0,0,0,0,3,16,15,4,6,3,0,0,2,16,4,0,7,10,0,0,0,13,8,0,8,13,0,0,0,3,12,16,16,6,0,6
0,0,6,12,13,4,0,0,0,1,16,5,8,15,3,0,0,4,13,0,0,16,5,0,0,2,15,9,11,16,7,0,0,0,1,8,8,14,8,0,0,3,5,0,0,11,8,0,0,2,16,9,6,15,7,0,0,0,3,14,15,6,0,0,9
0,0,0,1,16,8,0,0,0,0,0,5,16,8,0,0,0,0,5,12,16,4,0,0,0,8,16,16,16,3,0,0,0,0,0,9,16,5,0,0,0,0,0,11,16,6,0,0,0,0,0,6,16,12,0,0,0,0,0,2,16,14,1,0,1
0,0,12,13,14,5,0,0,0,0,16,9,8,6,0,0,0,3,16,2,3,0,0,0,0,5,16,16,16,8,0,0,0,0,2,0,4,16,3,0,0,0,0,0,0,15,8,0,0,0,3,0,4,16,7,0,0,0,11,16,16,13,1,0,5
0,0,6,13,13,12,2,0,0,4,15,5,6,11,8,0,0,8,11,0,0,10,6,0,0,3,14,13,13,13,1,0,0,0,8,16,14,9,0,0,0,0,16,4,1,15,0,0,0,0,15,5,6,16,0,0,0,0,5,15,16,9,0,0,8
0,0,5,15,13,3,0,0,0,0,15,7,10,15,1,0,0,0,16,4,2,15,8,0,0,1,10,16,16,16,4,0,0,0,0,0,0,12,7,0,0,5,2,0,3,16,5,0,0,7,14,8,14,14,1,0,0,1,8,16,11,1,0,0,9
0,0,8,13,4,0,0,0,0,2,16,11,15,1,0,0,0,0,12,0,11,5,0,0,0,0,4,2,9,9,0,0,0,0,0,0,12,11,0,0,0,0,0,6,15,4,0,0,0,0,6,16,13,5,8,0,0,0,7,16,16,16,16,5,2
0,0,3,14,12,11,11,0,0,0,7,10,7,13,11,0,0,0,15,3,4,14,0,0,0,0,4,0,10,7,0,0,0,0,11,15,16,16,3,0,0,0,3,10,11,4,0,0,0,0,0,14,5,0,0,0,0,0,3,16,0,0,0,0,7
0,0,0,8,10,0,0,0,0,0,0,15,7,0,0,0,0,0,6,15,1,0,0,0,0,1,14,7,4,2,0,0,0,6,14,4,15,2,0,0,0,14,15,13,16,12,3,0,0,15,12,15,15,11,1,0,0,0,0,13,8,0,0,0,4
0,0,0,0,8,13,0,0,0,0,0,0,16,16,0,0,0,0,0,1,16,14,0,0,0,4,12,15,16,12,0,0,0,0,3,4,16,14,0,0,0,0,0,0,15,16,0,0,0,0,0,0,12,16,2,0,0,0,0,0,11,16,4,0,1
0,1,9,13,14,13,8,0,0,4,14,4,4,4,2,0,0,4,12,0,0,0,0,0,0,5,15,16,16,6,0,0,0,0,4,0,4,16,3,0,0,0,0,0,0,13,7,0,0,0,3,2,5,16,6,0,0,0,10,16,15,8,1,0,5
0,0,0,1,11,10,0,0,0,0,0,6,16,15,0,0,0,4,13,16,16,11,0,0,0,3,8,10,16,10,0,0,0,0,0,4,16,12,0,0,0,0,0,0,16,14,0,0,0,0,0,0,16,16,5,0,0,0,0,0,12,13,6,0,1
0,0,7,14,9,3,0,0,0,0,15,7,15,15,1,0,0,4,12,0,3,13,6,0,0,4,12,0,0,8,8,0,0,5,8,0,0,5,8,0,0,4,12,0,0,8,7,0,0,2,15,6,6,15,2,0,0,0,6,15,16,8,0,0,0
0,0,7,12,14,16,8,0,0,0,16,11,8,8,4,0,0,0,16,1,5,3,0,0,0,5,16,16,16,13,1,0,0,2,9,4,2,14,6,0,0,0,0,0,0,15,5,0,0,0,2,8,10,16,4,0,0,0,6,15,12,6,0,0,5
0,0,4,13,0,0,0,0,0,0,11,9,0,0,0,0,0,3,16,0,0,0,0,0,0,4,16,13,14,6,0,0,0,8,16,10,7,16,3,0,0,4,15,0,0,8,10,0,0,0,15,8,1,9,12,0,0,0,4,13,16,14,3,0,6
0,0,12,14,16,12,0,0,0,1,15,9,5,9,0,0,0,4,16,12,12,5,0,0,0,0,5,5,7,16,3,0,0,0,0,0,0,12,8,0,0,0,0,0,0,9,11,0,0,0,11,6,5,14,12,0,0,0,9,16,16,14,3,0,5
0,0,4,13,13,13,3,0,0,3,16,9,12,16,8,0,0,7,14,0,4,16,5,0,0,2,15,13,15,11,0,0,0,0,10,16,16,10,0,0,0,1,16,5,3,16,4,0,0,0,15,10,5,16,7,0,0,0,5,16,16,9,0,0,8
0,0,2,12,1,0,0,0,0,0,11,12,0,0,0,0,0,0,16,5,0,0,0,0,0,2,16,5,4,1,0,0,0,2,16,16,16,13,2,0,0,1,15,8,0,7,12,0,0,0,8,9,2,5,15,0,0,0,0,11,16,14,8,0,6
0,0,5,12,12,3,0,0,0,1,16,8,13,14,3,0,0,2,16,1,3,16,9,0,0,2,14,11,14,16,6,0,0,0,2,7,5,16,8,0,0,2,3,0,1,15,5,0,0,5,16,5,8,15,2,0,0,0,10,16,13,4,0,0,9
0,0,6,14,15,12,11,0,0,2,15,5,4,4,3,0,0,2,16,11,12,7,0,0,0,5,11,6,6,16,3,0,0,0,0,0,0,13,7,0,0,0,0,0,2,16,3,0,0,4,15,5,12,15,0,0,0,0,9,15,11,1,0,0,5
0,0,0,14,3,0,0,0,0,0,7,15,3,0,0,0,0,0,15,7,0,0,0,0,0,2,16,9,7,2,0,0,0,2,16,13,12,14,5,0,0,0,15,3,0,3,13,0,0,0,11,10,3,4,15,2,0,0,0,9,16,16,13,1,6
0,0,9,13,14,1,0,0,0,2,16,4,16,13,0,0,0,3,16,1,11,14,0,0,0,0,10,16,16,4,0,0,0,1,13,13,15,13,1,0,0,5,13,1,4,16,5,0,0,8,12,2,5,16,4,0,0,1,8,16,16,11,1,0,8
0,0,0,0,12,11,0,0,0,0,0,1,16,9,0,0,0,5,12,13,16,7,0,0,0,2,8,10,16,8,0,0,0,0,0,0,16,9,0,0,0,0,0,0,12,11,0,0,0,0,0,0,11,16,3,0,0,0,0,0,13,16,4,0,1
0,0,14,16,16,16,9,0,0,0,6,8,10,16,6,0,0,0,0,0,9,14,2,0,0,0,13,14,16,14,4,0,0,0,8,16,16,16,11,0,0,0,3,16,4,3,1,0,0,0,11,12,0,0,0,0,0,0,16,8,0,0,0,0,7
0,0,6,14,9,1,0,0,0,0,14,9,13,12,0,0,0,2,13,0,2,15,2,0,0,5,8,0,0,8,4,0,0,8,8,0,0,5,8,0,0,6,11,0,0,6,5,0,0,0,15,7,4,13,3,0,0,0,5,12,16,11,0,0,0
0,0,3,11,16,13,2,0,0,0,14,8,8,15,8,0,0,0,15,11,5,13,12,0,0,0,6,16,16,13,0,0,0,0,13,12,12,15,1,0,0,3,12,0,0,16,5,0,0,1,15,6,7,16,4,0,0,0,6,12,14,7,0,0,8
0,0,0,0,14,12,0,0,0,0,0,0,16,16,0,0,0,1,6,12,16,16,0,0,0,6,12,10,16,14,0,0,0,0,0,0,16,16,0,0,0,0,0,0,16,15,0,0,0,0,0,2,16,16,7,0,0,0,0,1,13,16,4,0,1
0,0,0,12,3,0,0,0,0,0,10,14,1,0,0,0,0,0,14,9,1,0,0,0,0,1,16,16,15,6,0,0,0,3,16,10,5,14,6,0,0,2,16,1,0,5,12,0,0,0,12,9,4,7,15,0,0,0,1,10,16,16,7,0,6
0,1,7,12,12,0,0,0,0,3,12,4,15,3,0,0,0,0,0,1,15,3,0,0,0,0,5,15,13,2,0,0,0,0,1,4,8,15,2,0,0,0,0,0,0,16,5,0,0,3,11,4,5,16,3,0,0,0,10,16,13,7,0,0,3
0,1,10,16,13,2,0,0,0,6,14,9,16,6,0,0,0,0,1,0,13,11,0,0,0,0,1,13,16,11,1,0,0,0,2,12,11,16,8,0,0,0,5,0,0,15,9,0,0,3,16,12,8,16,7,0,0,0,10,16,16,11,1,0,3
0,0,13,16,7,0,0,0,0,0,16,13,16,2,0,0,0,0,11,8,13,8,0,0,0,0,1,1,16,8,0,0,0,0,0,3,16,6,0,0,0,0,0,10,15,2,0,0,0,0,12,16,15,9,9,0,0,0,15,16,16,16,16,5,2
0,0,10,16,16,16,16,4,0,0,4,8,8,14,14,1,0,0,0,0,6,15,4,0,0,0,4,12,15,14,4,0,0,0,11,16,16,16,9,0,0,0,0,14,10,3,0,0,0,0,6,16,5,0,0,0,0,0,12,12,0,0,0,0,7
0,0,0,1,12,16,2,0,0,0,0,0,16,16,1,0,0,6,12,13,16,16,0,0,0,8,16,15,16,16,0,0,0,0,0,0,16,16,0,0,0,0,0,0,16,16,3,0,0,0,0,0,12,16,7,0,0,0,0,0,14,16,6,0,1
0,0,5,11,14,7,0,0,0,4,16,6,9,15,1,0,0,7,12,0,1,16,4,0,0,2,16,9,11,16,6,0,0,0,2,5,4,12,8,0,0,0,0,0,0,10,8,0,0,3,15,7,3,14,8,0,0,0,5,14,16,11,2,0,9
0,1,14,15,4,0,0,0,0,6,15,12,14,0,0,0,0,4,16,4,16,4,0,0,0,0,6,4,16,3,0,0,0,0,0,9,15,0,0,0,0,0,1,14,11,0,0,0,0,0,13,16,10,8,9,1,0,2,14,16,16,16,16,6,2
0,0,8,12,7,0,0,0,0,0,14,8,15,14,0,0,0,3,14,0,6,15,2,0,0,5,11,0,0,9,8,0,0,8,8,0,0,5,8,0,0,5,11,0,0,8,8,0,0,1,15,2,2,14,5,0,0,0,6,15,16,12,1,0,0
0,0,0,3,10,0,0,0,0,0,0,9,8,0,0,0,0,0,4,15,0,0,0,0,0,0,9,9,1,0,0,0,0,3,16,2,10,6,0,0,0,13,16,6,14,12,0,0,0,15,16,16,16,13,0,0,0,0,0,4,13,3,0,0,4
0,0,1,11,4,0,0,0,0,0,5,14,1,0,0,0,0,0,12,7,0,0,0,0,0,1,15,0,4,1,0,0,0,4,15,14,16,14,1,0,0,2,14,5,1,6,11,0,0,1,13,7,0,1,14,0,0,0,3,10,15,16,10,0,6
0,2,12,16,14,1,0,0,0,12,12,8,16,7,0,0,0,2,1,1,16,8,0,0,0,0,2,14,16,10,0,0,0,0,1,11,12,16,7,0,0,0,0,0,0,15,12,0,0,3,13,6,4,16,11,0,0,1,14,16,16,12,3,0,3
0,0,8,12,15,12,0,0,0,8,15,7,4,4,0,0,0,6,14,4,3,0,0,0,0,7,16,13,16,8,0,0,0,1,4,0,5,16,5,0,0,0,0,0,0,15,9,0,0,1,7,4,6,15,8,0,0,0,10,15,16,9,0,0,5
0,0,11,15,7,0,0,0,0,2,16,10,16,14,4,0,0,5,13,0,6,16,6,0,0,4,16,9,10,16,8,0,0,0,7,12,11,14,8,0,0,0,0,0,0,12,8,0,0,1,12,10,10,15,6,0,0,1,10,12,14,10,1,0,9
0,0,9,16,16,3,0,0,0,5,16,10,14,7,0,0,0,1,10,0,14,10,0,0,0,0,2,15,16,9,0,0,0,0,1,8,11,16,6,0,0,0,0,0,3,16,8,0,0,1,16,11,11,16,4,0,0,0,11,16,16,11,0,0,3
0,0,3,16,7,0,0,0,0,0,0,13,13,0,0,0,0,0,2,15,11,0,0,0,0,8,16,16,16,12,3,0,0,6,12,15,16,16,12,0,0,0,0,8,16,7,1,0,0,0,0,10,15,2,0,0,0,0,2,16,13,0,0,0,4
0,1,10,16,16,9,0,0,0,11,15,8,15,12,0,0,0,3,2,2,16,9,0,0,0,0,0,7,16,4,0,0,0,0,0,2,15,11,0,0,0,0,0,0,5,16,6,0,0,0,3,7,6,15,12,0,0,0,12,16,16,14,5,0,3
0,0,0,7,14,6,0,0,0,0,1,15,11,2,0,0,0,0,8,13,0,0,0,0,0,1,14,13,8,1,0,0,0,3,16,14,12,10,0,0,0,0,15,2,0,7,9,0,0,0,11,13,7,4,15,0,0,0,0,7,12,12,13,2,6
0,1,10,14,7,0,0,0,0,7,12,5,15,0,0,0,0,4,7,5,15,1,0,0,0,0,2,15,9,0,0,0,0,0,0,9,16,4,0,0,0,0,0,0,4,14,4,0,0,0,10,3,3,10,12,0,0,0,11,16,16,14,4,0,3
0,0,7,15,10,1,0,0,0,1,16,10,14,7,0,0,0,0,11,2,0,15,0,0,0,0,0,0,0,15,3,0,0,0,0,0,5,16,0,0,0,0,0,3,15,9,0,0,0,0,9,16,16,10,6,0,0,0,9,12,12,12,13,1,2
0,0,6,14,15,3,0,0,0,0,8,15,12,2,0,0,0,0,8,14,12,11,1,0,0,0,0,0,0,9,6,0,0,0,0,0,0,3,9,0,0,0,3,1,0,1,12,0,0,0,13,8,4,9,11,0,0,0,5,13,16,13,7,0,5
0,0,9,13,6,0,0,0,0,0,15,16,15,5,0,0,0,4,13,1,3,14,0,0,0,5,11,0,0,10,7,0,0,8,8,0,0,8,6,0,0,4,12,0,0,7,7,0,0,2,13,4,7,16,0,0,0,0,8,16,13,8,0,0,0
0,0,0,6,16,3,0,0,0,0,5,16,8,1,0,0,0,0,10,14,0,0,0,0,0,0,14,15,8,3,0,0,0,0,14,15,12,15,4,0,0,0,16,6,0,6,11,0,0,0,9,13,5,6,15,0,0,0,1,8,12,15,13,1,6
0,1,15,10,0,0,0,0,0,9,13,12,9,0,0,0,0,10,8,8,16,10,0,0,0,3,14,16,16,12,0,0,0,0,0,0,6,14,0,0,0,0,0,0,2,14,3,0,0,3,11,5,2,8,12,0,0,1,8,13,16,16,11,0,9
0,0,7,10,2,0,0,0,0,3,16,16,16,10,0,0,0,5,16,12,11,16,2,0,0,6,12,0,0,9,8,0,0,4,12,0,0,8,8,0,0,4,16,0,0,8,8,0,0,1,16,10,11,15,6,0,0,0,7,16,13,5,0,0,0
0,0,4,15,10,0,0,0,0,0,14,8,16,7,0,0,0,0,15,0,13,10,0,0,0,1,15,16,16,9,0,0,0,0,0,0,5,12,0,0,0,2,1,0,3,15,0,0,0,8,14,6,4,14,1,0,0,0,6,13,16,15,0,0,9
0,0,7,14,5,0,0,0,0,3,16,16,16,5,0,0,0,6,16,0,5,14,0,0,0,4,12,0,0,13,3,0,0,8,8,0,0,12,8,0,0,7,9,0,0,12,7,0,0,1,15,8,14,16,3,0,0,0,8,14,12,4,0,0,0
0,0,14,16,8,3,0,0,0,5,15,8,16,16,3,0,0,9,11,1,12,15,2,0,0,1,13,16,15,3,0,0,0,0,11,14,15,3,0,0,0,1,16,4,4,14,5,0,0,4,14,5,4,11,12,0,0,0,9,12,13,12,8,0,8
0,0,1,11,13,2,0,0,0,0,9,14,13,3,0,0,0,1,15,12,0,0,0,0,0,3,15,9,2,0,0,0,0,2,16,16,16,11,0,0,0,0,13,7,4,14,7,0,0,0,9,11,9,16,6,0,0,0,1,12,16,7,0,0,6
0,0,0,10,14,1,0,0,0,0,8,16,10,1,0,0,0,2,16,9,0,0,0,0,0,7,16,7,4,1,0,0,0,5,16,15,12,13,0,0,0,0,15,6,0,4,11,0,0,0,5,13,2,9,13,0,0,0,0,6,15,16,6,0,6
0,1,9,16,10,0,0,0,0,6,12,4,15,2,0,0,0,0,0,0,13,3,0,0,0,0,0,10,16,1,0,0,0,0,0,6,13,11,0,0,0,0,0,0,0,14,4,0,0,3,10,1,0,10,8,0,0,0,10,16,16,15,3,0,3
0,0,6,15,2,0,0,0,0,0,3,16,8,0,0,0,0,0,4,16,10,0,0,0,0,0,7,16,13,0,0,0,0,0,0,9,16,2,0,0,0,0,0,1,16,7,0,0,0,0,2,10,15,15,15,6,0,0,4,16,16,16,16,13,1
0,0,3,12,11,1,0,0,0,0,9,13,10,10,0,0,0,0,5,13,11,13,0,0,0,0,0,7,12,14,5,0,0,0,0,0,0,6,10,0,0,0,0,0,0,1,15,0,0,0,8,8,4,4,13,5,0,0,3,10,16,16,16,5,9
0,0,14,12,0,0,0,0,0,3,13,16,0,0,0,0,0,12,16,16,4,0,0,0,0,5,10,16,6,0,0,0,0,0,1,15,9,0,0,0,0,0,0,12,15,0,0,0,0,0,7,13,16,9,8,0,0,0,13,16,16,16,16,3,1
0,0,0,0,11,15,0,0,0,0,0,2,15,11,0,0,0,0,0,9,16,4,0,0,0,0,8,16,8,7,3,0,0,9,16,16,12,16,11,0,0,4,11,12,14,16,5,0,0,0,0,0,9,16,4,0,0,0,0,0,12,15,2,0,4
0,0,12,16,12,0,0,0,0,4,16,12,16,6,0,0,0,1,8,0,12,8,0,0,0,0,0,0,15,5,0,0,0,0,0,3,16,3,0,0,0,0,8,16,8,0,0,0,0,3,16,16,16,13,2,0,0,1,8,9,14,16,4,0,2
0,0,10,16,7,0,0,0,0,1,16,16,15,3,0,0,0,4,16,16,16,13,0,0,0,4,16,10,11,14,2,0,0,6,16,0,0,12,4,0,0,5,15,0,0,10,7,0,0,4,16,8,11,16,0,0,0,1,10,15,13,4,0,0,0
0,0,10,16,11,8,3,0,0,0,6,12,13,16,7,0,0,0,0,0,5,15,1,0,0,0,4,6,13,8,0,0,0,0,15,16,16,16,4,0,0,0,1,14,11,13,4,0,0,0,4,16,1,0,0,0,0,0,12,10,0,0,0,0,7
0,0,0,3,12,5,0,0,0,0,8,16,12,4,0,0,0,2,16,8,0,0,0,0,0,6,16,14,9,2,0,0,0,4,16,11,10,15,3,0,0,0,14,3,0,6,10,0,0,0,5,15,5,12,9,0,0,0,0,5,15,11,2,0,6
0,0,11,15,4,0,0,0,0,0,7,16,16,16,11,0,0,0,0,1,7,16,11,0,0,2,4,2,15,12,1,0,0,13,16,16,16,12,3,0,0,2,6,16,11,14,4,0,0,0,7,16,4,0,0,0,0,0,14,14,1,0,0,0,7
0,1,14,12,1,0,0,0,0,7,16,16,13,0,0,0,0,6,14,3,16,2,0,0,0,2,12,0,14,6,0,0,0,0,0,0,15,8,0,0,0,0,0,8,16,4,0,0,0,2,12,16,16,12,10,0,0,0,15,16,16,16,16,6,2
0,0,7,14,12,0,0,0,0,5,16,16,16,6,0,0,0,8,16,8,5,15,3,0,0,8,12,0,0,10,7,0,0,8,11,0,0,12,5,0,0,4,13,0,0,12,5,0,0,0,16,12,9,16,3,0,0,0,8,14,12,7,0,0,0
0,0,9,9,0,0,0,0,0,0,7,16,2,0,0,0,0,0,8,16,3,0,0,0,0,0,6,16,9,0,0,0,0,0,0,6,14,0,0,0,0,0,0,1,15,4,0,0,0,0,6,12,15,14,9,5,0,0,7,16,16,16,16,14,1
0,4,16,13,0,0,0,0,0,12,11,15,4,0,0,0,0,12,6,10,10,0,0,0,0,1,1,8,10,0,0,0,0,0,0,15,7,0,0,0,0,0,4,16,1,0,0,0,0,0,13,16,12,12,8,0,0,2,16,16,16,16,16,0,2
0,0,11,8,0,0,0,0,0,0,9,15,0,0,0,0,0,12,15,16,6,0,0,0,0,8,15,16,9,0,0,0,0,0,1,13,13,0,0,0,0,0,0,6,16,2,0,0,0,0,8,13,16,13,12,5,0,0,11,16,16,16,16,11,1
0,0,5,13,5,0,0,0,0,4,16,11,12,11,2,0,0,7,8,0,12,16,6,0,0,3,15,14,16,12,1,0,0,0,9,14,14,10,0,0,0,0,11,1,2,13,5,0,0,0,9,7,4,8,12,0,0,0,5,14,15,13,7,0,8
0,0,0,1,11,14,0,0,0,0,0,2,16,10,0,0,0,0,0,11,16,4,0,0,0,0,12,15,3,5,1,0,0,7,16,13,9,16,10,0,0,5,16,16,16,16,5,0,0,0,0,0,12,13,0,0,0,0,0,0,13,13,1,0,4
0,0,0,0,11,13,0,0,0,0,0,2,16,10,0,0,0,0,0,13,15,2,0,0,0,0,11,15,8,11,4,0,0,9,16,15,14,16,11,0,0,2,7,11,13,16,4,0,0,0,0,0,8,16,3,0,0,0,0,0,15,16,2,0,4
0,0,0,1,15,8,0,0,0,0,0,2,16,9,0,0,0,0,0,7,16,4,0,0,0,1,7,16,15,15,2,0,0,11,16,16,13,16,5,0,0,7,12,12,14,16,5,0,0,0,0,0,13,15,0,0,0,0,0,4,16,10,0,0,4
0,0,6,12,12,1,0,0,0,4,16,8,13,7,0,0,0,5,10,0,11,8,0,0,0,0,0,0,14,3,0,0,0,0,0,0,13,8,0,0,0,0,0,0,3,14,2,0,0,0,7,9,4,11,7,0,0,0,7,12,12,13,5,0,3
0,0,5,14,15,2,0,0,0,4,15,7,11,8,0,0,0,4,6,1,15,5,0,0,0,0,0,4,15,4,0,0,0,0,0,0,7,15,1,0,0,0,0,0,0,9,7,0,0,3,12,5,4,12,7,0,0,0,6,13,16,9,1,0,3
0,0,10,13,16,5,0,0,0,0,15,15,10,12,0,0,0,3,14,1,0,14,2,0,0,6,12,0,0,9,7,0,0,4,12,0,0,4,8,0,0,0,12,0,0,11,6,0,0,0,16,10,14,16,2,0,0,0,8,13,10,1,0,0,0
0,0,4,15,8,0,0,0,0,0,12,16,15,3,0,0,0,1,16,11,7,14,2,0,0,4,14,0,0,12,8,0,0,4,12,0,0,14,5,0,0,4,14,1,0,15,5,0,0,0,13,9,9,16,6,0,0,0,7,16,12,5,0,0,0
0,0,10,9,0,0,0,0,0,0,7,16,2,0,0,0,0,11,14,16,3,0,0,0,0,5,15,16,5,0,0,0,0,0,1,10,10,0,0,0,0,0,0,5,15,0,0,0,0,0,5,12,16,14,12,4,0,0,8,16,16,16,16,13,1
0,0,4,15,11,1,0,0,0,0,9,13,10,11,0,0,0,0,7,11,3,16,1,0,0,0,1,14,16,16,5,0,0,0,0,0,2,11,6,0,0,0,0,0,0,6,10,0,0,0,8,5,4,8,13,0,0,0,4,12,15,16,8,0,9
0,0,4,16,16,16,12,0,0,0,1,7,8,13,15,0,0,0,0,0,0,14,10,0,0,0,2,8,11,15,1,0,0,0,4,14,16,16,4,0,0,0,0,8,15,13,4,0,0,0,0,14,10,0,0,0,0,0,6,16,4,0,0,0,7
0,0,7,13,12,3,0,0,0,2,14,8,14,8,0,0,0,2,15,4,14,8,0,0,0,0,8,12,12,8,0,0,0,0,0,0,4,12,0,0,0,0,0,0,1,15,0,0,0,0,10,10,1,16,3,0,0,0,5,13,16,12,0,0,9
0,1,6,13,16,5,0,0,0,6,16,9,15,4,0,0,0,4,9,5,16,2,0,0,0,0,0,8,13,0,0,0,0,0,0,3,15,7,0,0,0,0,0,0,6,15,0,0,0,0,4,6,4,14,6,0,0,0,10,16,16,16,5,0,3
0,0,10,16,16,15,2,0,0,0,5,8,8,16,6,0,0,0,0,0,4,16,3,0,0,0,6,8,12,11,0,0,0,1,16,16,16,15,1,0,0,0,1,13,10,11,3,0,0,0,8,14,0,0,0,0,0,0,13,6,0,0,0,0,7
0,3,14,16,4,0,0,0,0,8,10,11,11,0,0,0,0,5,9,0,13,2,0,0,0,0,0,0,12,4,0,0,0,0,0,2,15,1,0,0,0,0,0,14,11,0,0,0,0,1,13,16,14,12,6,0,0,2,12,12,12,12,11,0,2
0,0,7,14,1,0,0,0,0,0,6,16,8,0,0,0,0,8,16,16,10,0,0,0,0,0,11,13,16,1,0,0,0,0,0,3,16,6,0,0,0,0,0,1,13,12,0,0,0,0,10,16,16,16,12,7,0,0,5,15,16,16,16,15,1
0,0,5,15,10,10,4,0,0,0,12,12,15,14,8,0,0,0,11,7,1,15,5,0,0,0,6,15,8,14,0,0,0,0,4,14,16,2,0,0,0,3,16,11,12,5,0,0,0,7,14,7,6,14,0,0,0,0,7,13,16,14,0,0,8
0,0,5,16,11,3,0,0,0,0,14,15,10,15,2,0,0,5,13,6,0,11,8,0,0,8,8,0,0,5,8,0,0,8,7,0,0,8,5,0,0,4,10,0,1,13,1,0,0,0,14,9,13,10,0,0,0,0,5,13,9,1,0,0,0
0,1,14,14,2,0,0,0,0,7,16,16,8,0,0,0,0,11,11,10,14,0,0,0,0,0,0,8,16,0,0,0,0,0,0,10,13,0,0,0,0,0,5,16,12,0,0,0,0,4,16,16,16,16,6,0,0,1,8,6,8,15,11,0,2
0,0,0,8,11,0,0,0,0,0,3,16,12,0,0,0,0,0,11,15,1,0,0,0,0,1,15,12,5,0,0,0,0,2,16,16,13,12,1,0,0,0,14,9,1,4,13,0,0,0,5,14,3,0,11,6,0,0,0,5,15,16,16,7,6
0,0,11,11,0,0,0,0,0,0,12,14,0,0,0,0,0,13,16,15,0,0,0,0,0,6,11,16,3,0,0,0,0,0,1,16,4,0,0,0,0,0,0,11,9,0,0,0,0,0,10,15,15,12,7,0,0,0,11,16,16,16,16,4,1
0,0,0,11,11,0,0,0,0,0,2,16,13,0,0,0,0,0,6,16,5,0,0,0,0,0,11,16,5,0,0,0,0,0,13,16,14,12,1,0,0,0,11,14,2,8,14,0,0,0,6,16,5,12,15,1,0,0,0,8,15,13,6,0,6
0,0,8,16,7,0,0,0,0,0,11,14,16,4,0,0,0,0,0,1,14,3,0,0,0,0,8,14,16,6,0,0,0,0,6,16,16,16,7,0,0,0,0,12,9,13,5,0,0,0,4,14,2,0,0,0,0,0,9,10,0,0,0,0,7
0,0,4,14,3,0,0,0,0,0,9,16,16,4,0,0,0,0,14,16,16,14,0,0,0,2,16,6,1,16,4,0,0,5,15,0,0,12,4,0,0,5,13,0,0,12,8,0,0,0,16,10,9,16,7,0,0,0,6,16,15,8,0,0,0
0,0,11,14,5,0,0,0,0,5,13,4,16,6,0,0,0,3,14,11,15,8,0,0,0,0,2,6,6,13,0,0,0,0,0,0,0,14,2,0,0,0,0,0,0,5,10,0,0,1,4,0,0,7,12,0,0,1,9,15,16,15,4,0,9
0,0,2,13,10,1,0,0,0,0,8,16,16,14,1,0,0,0,11,8,3,15,1,0,0,0,6,12,9,11,0,0,0,0,9,16,16,2,0,0,0,1,16,7,9,10,0,0,0,2,14,5,4,16,3,0,0,0,4,11,14,13,5,0,8
0,2,15,10,1,0,0,0,0,8,15,16,9,0,0,0,0,8,10,11,12,0,0,0,0,1,5,7,16,0,0,0,0,0,0,10,13,0,0,0,0,0,2,15,10,0,0,0,0,5,16,16,16,12,8,0,0,3,12,12,11,14,16,1,2
0,0,3,14,11,1,0,0,0,1,15,10,16,5,0,0,0,2,10,2,16,3,0,0,0,0,0,1,16,6,0,0,0,0,0,0,9,15,3,0,0,0,6,0,0,10,9,0,0,2,16,7,4,13,10,0,0,0,5,11,14,11,1,0,3
0,0,7,13,9,0,0,0,0,0,13,11,13,11,0,0,0,0,14,8,12,16,2,0,0,0,5,13,13,15,3,0,0,0,0,0,0,11,7,0,0,0,0,0,0,3,13,0,0,0,12,9,4,4,16,0,0,0,7,16,16,16,12,0,9
0,0,14,14,11,2,0,0,0,1,16,16,16,15,0,0,0,4,16,9,7,14,6,0,0,8,15,0,0,8,8,0,0,8,11,0,0,8,8,0,0,8,12,0,0,12,5,0,0,4,16,10,14,13,0,0,0,0,9,16,15,3,0,0,0
0,0,2,15,3,0,0,0,0,0,2,14,10,0,0,0,0,0,15,16,14,0,0,0,0,0,6,12,16,0,0,0,0,0,0,1,16,2,0,0,0,0,0,0,13,6,0,0,0,0,8,14,14,14,8,3,0,0,2,11,12,12,13,9,1
0,1,12,10,2,0,0,0,0,5,14,13,12,0,0,0,0,4,8,3,16,0,0,0,0,0,1,0,15,0,0,0,0,0,0,5,12,0,0,0,0,0,4,15,6,0,0,0,0,4,16,16,15,10,3,0,0,2,11,7,8,11,9,0,2
0,0,5,14,15,2,0,0,0,0,11,16,12,1,0,0,0,0,7,16,13,2,0,0,0,0,1,11,14,15,2,0,0,0,0,0,0,10,10,0,0,1,8,1,0,2,15,1,0,2,13,10,5,7,16,2,0,0,4,13,16,16,14,0,5
0,0,10,15,8,2,0,0,0,0,5,13,16,15,1,0,0,0,0,0,4,16,4,0,0,0,1,4,7,16,3,0,0,0,9,16,16,16,1,0,0,0,1,12,15,12,4,0,0,0,3,16,5,0,0,0,0,0,14,14,0,0,0,0,7
0,0,0,8,13,0,0,0,0,0,6,15,8,0,0,0,0,2,16,10,0,0,0,0,0,2,16,13,10,1,0,0,0,2,16,11,9,13,1,0,0,0,10,6,0,5,13,0,0,0,4,15,1,9,16,2,0,0,0,7,15,16,7,0,6
0,0,11,8,0,0,0,0,0,0,12,15,1,0,0,0,0,0,13,16,5,0,0,0,0,0,12,16,6,0,0,0,0,0,2,15,7,0,0,0,0,0,0,10,14,1,0,0,0,0,16,

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