data/CEMS.R

CEMS <-
structure(list(preferences = structure(list(student = c(1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 
2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 
5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 
9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 
10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 
11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 
13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 
14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 
16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 
17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 
18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 
19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 
20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 
21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 
22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 
23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 
24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 
25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 
26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 
27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 
28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 
29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 
30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 
32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 
33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 34, 
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 35, 35, 
35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 36, 36, 36, 36, 
36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37, 37, 
37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 38, 38, 
38, 38, 38, 38, 38, 38, 38, 38, 38, 39, 39, 39, 39, 39, 39, 39, 
39, 39, 39, 39, 39, 39, 39, 39, 40, 40, 40, 40, 40, 40, 40, 40, 
40, 40, 40, 40, 40, 40, 40, 41, 41, 41, 41, 41, 41, 41, 41, 41, 
41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 
42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 
43, 43, 43, 43, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 
44, 44, 44, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 
45, 45, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 
46, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 
48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 49, 
49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 50, 50, 
50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 51, 51, 51, 
51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 52, 52, 52, 52, 
52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, 
53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 54, 
54, 54, 54, 54, 54, 54, 54, 54, 54, 55, 55, 55, 55, 55, 55, 55, 
55, 55, 55, 55, 55, 55, 55, 55, 56, 56, 56, 56, 56, 56, 56, 56, 
56, 56, 56, 56, 56, 56, 56, 57, 57, 57, 57, 57, 57, 57, 57, 57, 
57, 57, 57, 57, 57, 57, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 
58, 58, 58, 58, 58, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 
59, 59, 59, 59, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 
60, 60, 60, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 
61, 61, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 
62, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 
64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 65, 
65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 65, 66, 66, 
66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 67, 67, 67, 
67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 68, 68, 68, 68, 
68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 69, 69, 69, 69, 69, 
69, 69, 69, 69, 69, 69, 69, 69, 69, 69, 70, 70, 70, 70, 70, 70, 
70, 70, 70, 70, 70, 70, 70, 70, 70, 71, 71, 71, 71, 71, 71, 71, 
71, 71, 71, 71, 71, 71, 71, 71, 72, 72, 72, 72, 72, 72, 72, 72, 
72, 72, 72, 72, 72, 72, 72, 73, 73, 73, 73, 73, 73, 73, 73, 73, 
73, 73, 73, 73, 73, 73, 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, 
74, 74, 74, 74, 74, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75, 
75, 75, 75, 75, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 76, 
76, 76, 76, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 77, 
77, 77, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 78, 
78, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 79, 
80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 81, 
81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 82, 82, 
82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 83, 83, 83, 
83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 83, 84, 84, 84, 84, 
84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 85, 85, 85, 85, 85, 
85, 85, 85, 85, 85, 85, 85, 85, 85, 85, 86, 86, 86, 86, 86, 86, 
86, 86, 86, 86, 86, 86, 86, 86, 86, 87, 87, 87, 87, 87, 87, 87, 
87, 87, 87, 87, 87, 87, 87, 87, 88, 88, 88, 88, 88, 88, 88, 88, 
88, 88, 88, 88, 88, 88, 88, 89, 89, 89, 89, 89, 89, 89, 89, 89, 
89, 89, 89, 89, 89, 89, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 
90, 90, 90, 90, 90, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 
91, 91, 91, 91, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 
92, 92, 92, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 
93, 93, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 
94, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 
96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 97, 
97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 98, 98, 
98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 99, 99, 99, 
99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 100, 100, 100, 
100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 101, 
101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 101, 
101, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 
102, 102, 102, 103, 103, 103, 103, 103, 103, 103, 103, 103, 103, 
103, 103, 103, 103, 103, 104, 104, 104, 104, 104, 104, 104, 104, 
104, 104, 104, 104, 104, 104, 104, 105, 105, 105, 105, 105, 105, 
105, 105, 105, 105, 105, 105, 105, 105, 105, 106, 106, 106, 106, 
106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 106, 107, 107, 
107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 
108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 
108, 108, 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 109, 
109, 109, 109, 109, 110, 110, 110, 110, 110, 110, 110, 110, 110, 
110, 110, 110, 110, 110, 110, 111, 111, 111, 111, 111, 111, 111, 
111, 111, 111, 111, 111, 111, 111, 111, 112, 112, 112, 112, 112, 
112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 113, 113, 113, 
113, 113, 113, 113, 113, 113, 113, 113, 113, 113, 113, 113, 114, 
114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 
114, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 115, 
115, 115, 115, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 
116, 116, 116, 116, 116, 117, 117, 117, 117, 117, 117, 117, 117, 
117, 117, 117, 117, 117, 117, 117, 118, 118, 118, 118, 118, 118, 
118, 118, 118, 118, 118, 118, 118, 118, 118, 119, 119, 119, 119, 
119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 119, 120, 120, 
120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 
121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 
121, 121, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 122, 
122, 122, 122, 122, 123, 123, 123, 123, 123, 123, 123, 123, 123, 
123, 123, 123, 123, 123, 123, 124, 124, 124, 124, 124, 124, 124, 
124, 124, 124, 124, 124, 124, 124, 124, 125, 125, 125, 125, 125, 
125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 126, 126, 126, 
126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 126, 127, 
127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 
127, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 
128, 128, 128, 129, 129, 129, 129, 129, 129, 129, 129, 129, 129, 
129, 129, 129, 129, 129, 130, 130, 130, 130, 130, 130, 130, 130, 
130, 130, 130, 130, 130, 130, 130, 131, 131, 131, 131, 131, 131, 
131, 131, 131, 131, 131, 131, 131, 131, 131, 132, 132, 132, 132, 
132, 132, 132, 132, 132, 132, 132, 132, 132, 132, 132, 133, 133, 
133, 133, 133, 133, 133, 133, 133, 133, 133, 133, 133, 133, 133, 
134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 134, 
134, 134, 135, 135, 135, 135, 135, 135, 135, 135, 135, 135, 135, 
135, 135, 135, 135, 136, 136, 136, 136, 136, 136, 136, 136, 136, 
136, 136, 136, 136, 136, 136, 137, 137, 137, 137, 137, 137, 137, 
137, 137, 137, 137, 137, 137, 137, 137, 138, 138, 138, 138, 138, 
138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 139, 139, 139, 
139, 139, 139, 139, 139, 139, 139, 139, 139, 139, 139, 139, 140, 
140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 140, 
140, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 141, 
141, 141, 141, 142, 142, 142, 142, 142, 142, 142, 142, 142, 142, 
142, 142, 142, 142, 142, 143, 143, 143, 143, 143, 143, 143, 143, 
143, 143, 143, 143, 143, 143, 143, 144, 144, 144, 144, 144, 144, 
144, 144, 144, 144, 144, 144, 144, 144, 144, 145, 145, 145, 145, 
145, 145, 145, 145, 145, 145, 145, 145, 145, 145, 145, 146, 146, 
146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 
147, 147, 147, 147, 147, 147, 147, 147, 147, 147, 147, 147, 147, 
147, 147, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 148, 
148, 148, 148, 148, 149, 149, 149, 149, 149, 149, 149, 149, 149, 
149, 149, 149, 149, 149, 149, 150, 150, 150, 150, 150, 150, 150, 
150, 150, 150, 150, 150, 150, 150, 150, 151, 151, 151, 151, 151, 
151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 152, 152, 152, 
152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 153, 
153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 153, 
153, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 
154, 154, 154, 155, 155, 155, 155, 155, 155, 155, 155, 155, 155, 
155, 155, 155, 155, 155, 156, 156, 156, 156, 156, 156, 156, 156, 
156, 156, 156, 156, 156, 156, 156, 157, 157, 157, 157, 157, 157, 
157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 158, 
158, 158, 158, 158, 158, 158, 158, 158, 158, 158, 158, 159, 159, 
159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 159, 
160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 
160, 160, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 161, 
161, 161, 161, 161, 162, 162, 162, 162, 162, 162, 162, 162, 162, 
162, 162, 162, 162, 162, 162, 163, 163, 163, 163, 163, 163, 163, 
163, 163, 163, 163, 163, 163, 163, 163, 164, 164, 164, 164, 164, 
164, 164, 164, 164, 164, 164, 164, 164, 164, 164, 165, 165, 165, 
165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 166, 
166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 166, 
166, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 167, 
167, 167, 167, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 
168, 168, 168, 168, 168, 169, 169, 169, 169, 169, 169, 169, 169, 
169, 169, 169, 169, 169, 169, 169, 170, 170, 170, 170, 170, 170, 
170, 170, 170, 170, 170, 170, 170, 170, 170, 171, 171, 171, 171, 
171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 171, 172, 172, 
172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 
173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 173, 
173, 173, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 174, 
174, 174, 174, 174, 175, 175, 175, 175, 175, 175, 175, 175, 175, 
175, 175, 175, 175, 175, 175, 176, 176, 176, 176, 176, 176, 176, 
176, 176, 176, 176, 176, 176, 176, 176, 177, 177, 177, 177, 177, 
177, 177, 177, 177, 177, 177, 177, 177, 177, 177, 178, 178, 178, 
178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 178, 179, 
179, 179, 179, 179, 179, 179, 179, 179, 179, 179, 179, 179, 179, 
179, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 
180, 180, 180, 181, 181, 181, 181, 181, 181, 181, 181, 181, 181, 
181, 181, 181, 181, 181, 182, 182, 182, 182, 182, 182, 182, 182, 
182, 182, 182, 182, 182, 182, 182, 183, 183, 183, 183, 183, 183, 
183, 183, 183, 183, 183, 183, 183, 183, 183, 184, 184, 184, 184, 
184, 184, 184, 184, 184, 184, 184, 184, 184, 184, 184, 185, 185, 
185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 185, 
186, 186, 186, 186, 186, 186, 186, 186, 186, 186, 186, 186, 186, 
186, 186, 187, 187, 187, 187, 187, 187, 187, 187, 187, 187, 187, 
187, 187, 187, 187, 188, 188, 188, 188, 188, 188, 188, 188, 188, 
188, 188, 188, 188, 188, 188, 189, 189, 189, 189, 189, 189, 189, 
189, 189, 189, 189, 189, 189, 189, 189, 190, 190, 190, 190, 190, 
190, 190, 190, 190, 190, 190, 190, 190, 190, 190, 191, 191, 191, 
191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 191, 192, 
192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 
192, 193, 193, 193, 193, 193, 193, 193, 193, 193, 193, 193, 193, 
193, 193, 193, 194, 194, 194, 194, 194, 194, 194, 194, 194, 194, 
194, 194, 194, 194, 194, 195, 195, 195, 195, 195, 195, 195, 195, 
195, 195, 195, 195, 195, 195, 195, 196, 196, 196, 196, 196, 196, 
196, 196, 196, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 
197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 198, 198, 
198, 198, 198, 198, 198, 198, 198, 198, 198, 198, 198, 198, 198, 
199, 199, 199, 199, 199, 199, 199, 199, 199, 199, 199, 199, 199, 
199, 199, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 
200, 200, 200, 200, 201, 201, 201, 201, 201, 201, 201, 201, 201, 
201, 201, 201, 201, 201, 201, 202, 202, 202, 202, 202, 202, 202, 
202, 202, 202, 202, 202, 202, 202, 202, 203, 203, 203, 203, 203, 
203, 203, 203, 203, 203, 203, 203, 203, 203, 203, 204, 204, 204, 
204, 204, 204, 204, 204, 204, 204, 204, 204, 204, 204, 204, 205, 
205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 
205, 206, 206, 206, 206, 206, 206, 206, 206, 206, 206, 206, 206, 
206, 206, 206, 207, 207, 207, 207, 207, 207, 207, 207, 207, 207, 
207, 207, 207, 207, 207, 208, 208, 208, 208, 208, 208, 208, 208, 
208, 208, 208, 208, 208, 208, 208, 209, 209, 209, 209, 209, 209, 
209, 209, 209, 209, 209, 209, 209, 209, 209, 210, 210, 210, 210, 
210, 210, 210, 210, 210, 210, 210, 210, 210, 210, 210, 211, 211, 
211, 211, 211, 211, 211, 211, 211, 211, 211, 211, 211, 211, 211, 
212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 212, 
212, 212, 213, 213, 213, 213, 213, 213, 213, 213, 213, 213, 213, 
213, 213, 213, 213, 214, 214, 214, 214, 214, 214, 214, 214, 214, 
214, 214, 214, 214, 214, 214, 215, 215, 215, 215, 215, 215, 215, 
215, 215, 215, 215, 215, 215, 215, 215, 216, 216, 216, 216, 216, 
216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 217, 217, 217, 
217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 218, 
218, 218, 218, 218, 218, 218, 218, 218, 218, 218, 218, 218, 218, 
218, 219, 219, 219, 219, 219, 219, 219, 219, 219, 219, 219, 219, 
219, 219, 219, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 
220, 220, 220, 220, 220, 221, 221, 221, 221, 221, 221, 221, 221, 
221, 221, 221, 221, 221, 221, 221, 222, 222, 222, 222, 222, 222, 
222, 222, 222, 222, 222, 222, 222, 222, 222, 223, 223, 223, 223, 
223, 223, 223, 223, 223, 223, 223, 223, 223, 223, 223, 224, 224, 
224, 224, 224, 224, 224, 224, 224, 224, 224, 224, 224, 224, 224, 
225, 225, 225, 225, 225, 225, 225, 225, 225, 225, 225, 225, 225, 
225, 225, 226, 226, 226, 226, 226, 226, 226, 226, 226, 226, 226, 
226, 226, 226, 226, 227, 227, 227, 227, 227, 227, 227, 227, 227, 
227, 227, 227, 227, 227, 227, 228, 228, 228, 228, 228, 228, 228, 
228, 228, 228, 228, 228, 228, 228, 228, 229, 229, 229, 229, 229, 
229, 229, 229, 229, 229, 229, 229, 229, 229, 229, 230, 230, 230, 
230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 231, 
231, 231, 231, 231, 231, 231, 231, 231, 231, 231, 231, 231, 231, 
231, 232, 232, 232, 232, 232, 232, 232, 232, 232, 232, 232, 232, 
232, 232, 232, 233, 233, 233, 233, 233, 233, 233, 233, 233, 233, 
233, 233, 233, 233, 233, 234, 234, 234, 234, 234, 234, 234, 234, 
234, 234, 234, 234, 234, 234, 234, 235, 235, 235, 235, 235, 235, 
235, 235, 235, 235, 235, 235, 235, 235, 235, 236, 236, 236, 236, 
236, 236, 236, 236, 236, 236, 236, 236, 236, 236, 236, 237, 237, 
237, 237, 237, 237, 237, 237, 237, 237, 237, 237, 237, 237, 237, 
238, 238, 238, 238, 238, 238, 238, 238, 238, 238, 238, 238, 238, 
238, 238, 239, 239, 239, 239, 239, 239, 239, 239, 239, 239, 239, 
239, 239, 239, 239, 240, 240, 240, 240, 240, 240, 240, 240, 240, 
240, 240, 240, 240, 240, 240, 241, 241, 241, 241, 241, 241, 241, 
241, 241, 241, 241, 241, 241, 241, 241, 242, 242, 242, 242, 242, 
242, 242, 242, 242, 242, 242, 242, 242, 242, 242, 243, 243, 243, 
243, 243, 243, 243, 243, 243, 243, 243, 243, 243, 243, 243, 244, 
244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 244, 
244, 245, 245, 245, 245, 245, 245, 245, 245, 245, 245, 245, 245, 
245, 245, 245, 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 
246, 246, 246, 246, 246, 247, 247, 247, 247, 247, 247, 247, 247, 
247, 247, 247, 247, 247, 247, 247, 248, 248, 248, 248, 248, 248, 
248, 248, 248, 248, 248, 248, 248, 248, 248, 249, 249, 249, 249, 
249, 249, 249, 249, 249, 249, 249, 249, 249, 249, 249, 250, 250, 
250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 
251, 251, 251, 251, 251, 251, 251, 251, 251, 251, 251, 251, 251, 
251, 251, 252, 252, 252, 252, 252, 252, 252, 252, 252, 252, 252, 
252, 252, 252, 252, 253, 253, 253, 253, 253, 253, 253, 253, 253, 
253, 253, 253, 253, 253, 253, 254, 254, 254, 254, 254, 254, 254, 
254, 254, 254, 254, 254, 254, 254, 254, 255, 255, 255, 255, 255, 
255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 256, 256, 256, 
256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 257, 
257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 257, 
257, 258, 258, 258, 258, 258, 258, 258, 258, 258, 258, 258, 258, 
258, 258, 258, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 
259, 259, 259, 259, 259, 260, 260, 260, 260, 260, 260, 260, 260, 
260, 260, 260, 260, 260, 260, 260, 261, 261, 261, 261, 261, 261, 
261, 261, 261, 261, 261, 261, 261, 261, 261, 262, 262, 262, 262, 
262, 262, 262, 262, 262, 262, 262, 262, 262, 262, 262, 263, 263, 
263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 
264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 
264, 264, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 
265, 265, 265, 265, 266, 266, 266, 266, 266, 266, 266, 266, 266, 
266, 266, 266, 266, 266, 266, 267, 267, 267, 267, 267, 267, 267, 
267, 267, 267, 267, 267, 267, 267, 267, 268, 268, 268, 268, 268, 
268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 269, 269, 269, 
269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 270, 
270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 
270, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 
271, 271, 271, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 
272, 272, 272, 272, 272, 273, 273, 273, 273, 273, 273, 273, 273, 
273, 273, 273, 273, 273, 273, 273, 274, 274, 274, 274, 274, 274, 
274, 274, 274, 274, 274, 274, 274, 274, 274, 275, 275, 275, 275, 
275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 275, 276, 276, 
276, 276, 276, 276, 276, 276, 276, 276, 276, 276, 276, 276, 276, 
277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 277, 
277, 277, 278, 278, 278, 278, 278, 278, 278, 278, 278, 278, 278, 
278, 278, 278, 278, 279, 279, 279, 279, 279, 279, 279, 279, 279, 
279, 279, 279, 279, 279, 279, 280, 280, 280, 280, 280, 280, 280, 
280, 280, 280, 280, 280, 280, 280, 280, 281, 281, 281, 281, 281, 
281, 281, 281, 281, 281, 281, 281, 281, 281, 281, 282, 282, 282, 
282, 282, 282, 282, 282, 282, 282, 282, 282, 282, 282, 282, 283, 
283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 283, 
283, 284, 284, 284, 284, 284, 284, 284, 284, 284, 284, 284, 284, 
284, 284, 284, 285, 285, 285, 285, 285, 285, 285, 285, 285, 285, 
285, 285, 285, 285, 285, 286, 286, 286, 286, 286, 286, 286, 286, 
286, 286, 286, 286, 286, 286, 286, 287, 287, 287, 287, 287, 287, 
287, 287, 287, 287, 287, 287, 287, 287, 287, 288, 288, 288, 288, 
288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 289, 289, 
289, 289, 289, 289, 289, 289, 289, 289, 289, 289, 289, 289, 289, 
290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 290, 
290, 290, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 291, 
291, 291, 291, 291, 292, 292, 292, 292, 292, 292, 292, 292, 292, 
292, 292, 292, 292, 292, 292, 293, 293, 293, 293, 293, 293, 293, 
293, 293, 293, 293, 293, 293, 293, 293, 294, 294, 294, 294, 294, 
294, 294, 294, 294, 294, 294, 294, 294, 294, 294, 295, 295, 295, 
295, 295, 295, 295, 295, 295, 295, 295, 295, 295, 295, 295, 296, 
296, 296, 296, 296, 296, 296, 296, 296, 296, 296, 296, 296, 296, 
296, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 297, 
297, 297, 297, 298, 298, 298, 298, 298, 298, 298, 298, 298, 298, 
298, 298, 298, 298, 298, 299, 299, 299, 299, 299, 299, 299, 299, 
299, 299, 299, 299, 299, 299, 299, 300, 300, 300, 300, 300, 300, 
300, 300, 300, 300, 300, 300, 300, 300, 300, 301, 301, 301, 301, 
301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 301, 302, 302, 
302, 302, 302, 302, 302, 302, 302, 302, 302, 302, 302, 302, 302, 
303, 303, 303, 303, 303, 303, 303, 303, 303, 303, 303, 303, 303, 
303, 303), school1 = structure(c(2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 
2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 
4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 
3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 
5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 
2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 
4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 
3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 
5L, 1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 
1L, 2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 
2L, 2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 
2L, 4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 
4L, 2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 
2L, 4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 
4L, 3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L, 2L, 2L, 4L, 2L, 4L, 
3L, 2L, 4L, 3L, 5L, 2L, 4L, 3L, 5L, 1L), .Label = c("Barcelona", 
"London", "Milano", "Paris", "St.Gallen", "Stockholm"), class = "factor"), 
    school2 = structure(c(4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
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    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L, 4L, 3L, 3L, 5L, 5L, 5L, 1L, 1L, 1L, 
    1L, 6L, 6L, 6L, 6L, 6L), .Label = c("Barcelona", "London", 
    "Milano", "Paris", "St.Gallen", "Stockholm"), class = "factor"), 
    win1 = c(1, 1, NA, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 
    1, NA, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, NA, 1, 1, 
    0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, NA, 1, 0, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, NA, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
    1, 1, 0, 0, NA, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 
    NA, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, NA, 1, 0, 1, 
    1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, NA, 1, 1, 1, 0, 0, 0, 0, 
    0, 0, 0, 0, 1, 0, 0, NA, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 
    1, 1, 1, NA, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, NA, 
    0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, NA, 1, 1, 1, 1, 
    1, 1, 0, 1, 1, 1, 0, 1, 1, 0, NA, 1, 1, 1, 1, 1, 1, 0, 1, 
    1, 1, 0, 0, 1, 1, NA, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 
    1, 1, NA, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, NA, 1, 
    1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, NA, 1, 0, 1, 0, 0, 
    0, 0, 1, 0, 1, 0, 1, 1, 1, NA, 1, 0, 0, 1, 0, 0, 1, 1, 0, 
    0, 1, 0, 0, 0, NA, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
    1, NA, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, NA, 0, 0, 
    0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, NA, 1, 1, 1, 0, 1, 1, 
    0, 0, 1, 1, 0, 0, 1, 1, NA, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 
    1, 1, 1, 1, NA, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    NA, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, NA, 1, 1, 1, 
    1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, NA, 1, 1, 1, 0, 0, 0, 0, 
    1, 1, 1, 0, 1, 0, 0, NA, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 
    0, 1, 1, NA, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, NA, 
    1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, NA, 0, 0, 0, 1, 
    1, 1, 1, 1, 1, 1, 1, 0, 1, 1, NA, 1, 1, 1, 1, 1, 1, 0, 1, 
    1, 1, 0, 1, 1, 1, NA, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 
    0, 0, NA, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, NA, 0, 
    0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, NA, 1, 1, 0, 1, 1, 
    0, 0, 1, 1, 0, 0, 1, 0, 1, NA, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 0, NA, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 
    0, NA, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, NA, 1, 1, 
    0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, NA, 0, 0, 1, 0, 0, 1, 
    0, 1, 1, 1, 0, 1, 0, 0, NA, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 
    0, 1, 0, 1, NA, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 
    NA, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, NA, 0, 0, 0, 
    1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, NA, 0, 0, 0, 1, 1, 0, 1, 
    0, 0, 0, 1, 0, 0, 1, NA, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 
    0, 0, 1, NA, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, NA, 
    1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, NA, 1, 0, 0, 0, 
    0, 0, 0, 1, 0, 0, 0, 1, 1, 1, NA, 0, 1, 0, 1, 1, 0, 1, 1, 
    1, 0, 1, 0, 1, 1, NA, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 
    0, 1, NA, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, NA, 0, 
    0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, NA, 0, 0, 0, 0, 0, 
    0, 1, 1, 1, 1, 1, 1, 1, 0, NA, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
    1, 1, 1, 0, 1, NA, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 
    0, NA, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, NA, 0, 1, 
    0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, NA, 1, 1, 1, 1, 1, 0, 
    0, 1, 1, 0, 0, 1, 0, 0, NA, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
    1, 1, 0, 0, NA, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 
    NA, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, NA, 1, 1, 1, 
    0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, NA, 0, 0, 0, 1, 1, 0, 1, 
    1, 1, 1, 1, 1, 1, 1, NA, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 
    0, 1, 1, NA, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, NA, 
    1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, NA, 1, 0, 0, 1, 
    1, 1, 1, 1, 0, 0, 1, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1, NA, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 
    1, 0, NA, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, NA, 1, 
    1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, NA, 1, 0, 0, 1, 0, 
    1, 1, 1, 1, 1, 1, 1, 1, 0, NA, 1, 0, 1, 1, 0, 1, 0, 1, 0, 
    1, 1, 1, 1, 1, NA, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 
    1, NA, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, NA, 1, 1, 
    1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, NA, 0, 0, 0, 1, 1, 0, 
    1, 0, 0, 0, 0, 0, 1, 1, NA, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 
    0, 1, 0, 0, NA, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 
    NA, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, NA, 1, 1, 0, 
    0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, NA, 0, 0, 0, 1, 0, 0, 1, 
    1, 0, 0, 1, 0, 1, 1, NA, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, NA, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, NA, 
    1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, NA, 1, 0, 1, 1, 
    0, 1, 0, 0, 0, 0, 0, 0, 0, 1, NA, 0, 1, 0, 1, 1, 0, 1, 1, 
    1, 0, 1, 0, 0, 1, NA, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 
    1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 
    1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 
    0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
    0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
    1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 
    1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 
    1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 
    1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 
    0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 
    1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 
    1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 
    0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 
    1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 
    1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 
    1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 
    0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 
    1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 
    1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
    0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 
    0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 
    1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 
    0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 
    1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 
    1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 
    0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 
    1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 
    0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 
    1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 
    0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 
    1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 
    0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 
    1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 
    1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 
    1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
    0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
    0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 
    1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 
    1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
    1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 
    1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
    1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 
    1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
    0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 
    1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 
    0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 
    0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 
    0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 
    0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 
    1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 
    0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 
    1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 
    1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 
    0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 
    1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 
    0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 
    0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 
    0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 
    1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 
    0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 
    1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 
    0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 
    0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 
    1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 
    1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 
    1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 
    0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 
    1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 
    1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 
    1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 
    0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 
    1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 
    0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
    1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 
    0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 
    0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 
    0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 
    1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 
    1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 
    1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 
    0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 
    1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 
    1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 
    1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 
    0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 
    1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 
    0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 
    1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 
    0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 
    1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 
    1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 
    1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 
    1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 
    1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 
    0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
    1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 
    1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 
    1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 
    0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 
    1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 
    1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 
    0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 
    1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 
    1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 
    1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 
    1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 
    0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 
    1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 
    0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 
    1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 
    1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 
    0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 
    0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 
    1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 
    1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 
    1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 
    1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 
    1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 
    1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 
    0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 
    1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 
    0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 
    0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 
    0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 
    1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 
    0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
    1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 
    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 
    0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
    0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 
    1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 
    0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 
    1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 
    1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 
    1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 
    0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 
    1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 
    1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 
    1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 
    1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 
    1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 
    0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 
    1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1, 1, 1, 1), win2 = c(0, 0, NA, 1, 1, 1, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 
    0, 0, 0, 0, NA, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    NA, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 1, 1, 1, 
    1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, NA, 0, 0, 0, 1, 1, 1, 1, 
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    1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 
    1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 
    1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 
    0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 
    0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 
    0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 
    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 
    1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 
    1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 
    0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 
    0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 
    0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 
    1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
    1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 
    1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
    1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
    0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
    1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 
    1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 
    1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 
    0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 
    0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 
    0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 
    0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 
    0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 
    0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
    1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 
    0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 
    0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
    1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
    1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 
    1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 
    1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0), tied = c(0, 0, 
    NA, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, NA, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, NA, 0, 0, 0, 0, 0, 1, 0, 
    0, 0, 1, 0, 1, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
    0, 0, NA, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, NA, 0, 
    0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, NA, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1, NA, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 
    0, NA, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
    0, 0, 0, 0, NA, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
    NA, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 
    0, 1, 0, 1, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 
    1, 1, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
    0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, NA, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, NA, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, NA, 0, 0, 0, 1, 0, 0, 
    0, 1, 0, 1, 0, 0, 0, 0, NA, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
    NA, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, NA, 0, 0, 0, 
    1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, NA, 0, 0, 1, 0, 0, 1, 0, 
    0, 0, 0, 0, 0, 1, 0, NA, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
    0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1, 0, 0, 0, 1, NA, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, NA, 0, 
    0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, NA, 0, 0, 1, 0, 1, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, NA, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1, NA, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 
    NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 1, 0, 
    0, 0, 1, 0, 1, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, NA, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, NA, 
    0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, NA, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 
    0, 1, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1, 1, NA, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
    0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, NA, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
    NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, NA, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 
    0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, NA, 
    1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 
    0, 1, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, NA, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, NA, 0, 
    0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, NA, 0, 0, 0, 0, 0, 
    1, 0, 0, 0, 1, 0, 0, 0, 1, NA, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
    1, 0, 1, 0, 0, NA, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
    0, NA, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 
    0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 
    1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 
    0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
    0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 
    0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
    1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
    0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 
    1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 
    0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 
    0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 
    0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 
    0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 
    1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
    0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 
    1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
    1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
    0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 
    0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 
    0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
    0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 
    0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 
    0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
    0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 
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    0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 
    1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0.5, 0, 1, 1, 0, 0.5, 
    0.5, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
    0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0.5, 1, 0, 0, 0, 1, 0, 0, 
    0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 
    0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 
    1, 0, 0, 0, 0, 0, 0.5, 0.5, 0.5, 1, 0.5, 0.5, 0.5, 0.5, 0.5, 
    0.5, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 
    1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 
    0, 0, 0, 0, 0.5, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 
    0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 
    0, 1, 1, 0.5, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0.5, 
    0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
    0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 
    1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0.5, 0.5, 0, 1, 0, 0.5, 0.5, 
    0.5, 1, 0.5, 1, 0.5, 1, 0.5, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 
    0, 0, 0, 0.5, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0.5, 1, 1, 
    0.5, 0.5, 0.5, 1, 1, 0.5, 1, 0.5, 0, 0, 0, 0)), .Names = c("student", 
"school1", "school2", "win1", "win2", "tied", "win1.adj", "win2.adj"
), row.names = c(NA, -4545L), class = "data.frame"), students = structure(list(
    STUD = structure(c(1L, 2L, 1L, 2L, 1L, 1L, 1L, 2L, 2L, 2L, 
    1L, 1L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 2L, 2L, 2L, 
    1L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 
    1L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 1L, 
    1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 1L, 
    1L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 
    2L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 
    1L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 
    1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 
    1L, 2L, 2L, 2L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 1L, 
    2L, 2L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 2L, 2L, 1L, 
    1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 
    1L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 
    1L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 2L, 1L, 1L, 
    1L, 2L, 1L, 1L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 2L, 
    1L, 2L, 1L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 1L, 2L, 1L, 2L, 1L, 
    1L, 1L, 2L, 1L, 2L, 1L, 1L, 1L), .Label = c("other", "commerce"
    ), class = "factor"), ENG = structure(c(1L, 1L, 1L, 1L, 2L, 
    1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 
    1L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 2L, 1L, 1L, 2L, 1L, 1L, 2L, 
    2L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 
    1L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 1L, 
    2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 
    2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 
    1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 
    2L, 2L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 2L, 1L, 1L, 2L, 2L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 
    1L, 2L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 
    1L, 2L, 1L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 
    2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 
    1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    2L, 2L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 
    2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L), .Label = c("good", 
    "poor"), class = "factor"), FRA = structure(c(1L, 2L, 1L, 
    1L, 2L, 2L, 1L, 2L, 1L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 
    1L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 2L, 1L, 1L, 1L, 2L, 2L, 2L, 
    2L, 1L, 2L, 1L, 2L, 2L, 2L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 
    1L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 2L, 2L, 1L, 1L, 2L, 
    1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 1L, 
    1L, 1L, 2L, 2L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 1L, 2L, 
    2L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 
    2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 2L, 
    1L, 1L, 1L, 2L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 2L, 1L, 2L, 1L, 
    1L, 1L, 1L, 2L, 2L, 1L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 1L, 
    1L, 1L, 1L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 2L, 2L, 2L, 1L, 1L, 
    1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 
    2L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 2L, 
    1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 2L, 1L, 2L, 
    2L, 2L, 2L, 1L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L
    ), .Label = c("good", "poor"), class = "factor"), SPA = structure(c(2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
    2L, 1L, 2L, 1L, 2L, 1L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 
    2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
    2L, 2L, 1L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 1L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
    2L, 2L, 1L, 2L, 2L, 1L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 1L, 2L, 2L, 2L, 
    2L, 2L, 2L, 1L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 
    2L, 2L, 1L, 2L, 1L, 2L, 2L, 2L, 1L, 2L, 1L, 1L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 
    1L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 1L, 
    1L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 1L, 2L, 2L, 2L, 
    1L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 
    2L, 2L), .Label = c("good", "poor"), class = "factor"), ITA = structure(c(2L, 
    2L, 2L, 1L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 
    1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 
    2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 1L, 2L, 2L, 2L, 
    2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 1L, 1L, 2L, 2L, 
    1L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 
    2L, 2L, 1L, 1L, 1L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 1L, 
    2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 
    2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 1L, 2L, 1L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
    2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 2L, 2L, 2L, 
    2L, 2L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 1L, 
    1L, 2L, 2L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 
    2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 2L, 2L, 2L, 2L, 
    1L, 2L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 
    2L, 2L), .Label = c("good", "poor"), class = "factor"), WOR = structure(c(1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 
    2L, 1L), .Label = c("no", "yes"), class = "factor"), DEG = structure(c(2L, 
    1L, 2L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 2L, 1L, 1L, 1L, 2L, 
    2L, 2L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 
    2L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 
    1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 
    2L, 1L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 1L, 
    2L, 1L, 1L, 1L, 2L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 2L, 1L, 2L, 
    2L, 2L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 
    2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 2L, 
    2L, 2L, 1L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 
    1L, 1L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    2L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 
    1L, 1L, 1L, 2L, 2L, 1L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 
    1L, 2L, 2L, 1L, 1L, 1L, 2L, 1L, 2L, 1L, 2L, 2L, 2L, 1L, 2L, 
    1L, 2L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 2L, 1L, 1L, 2L, 1L, 2L, 
    2L, 1L, 2L, 1L, 1L, 1L, 2L, 2L, 2L, 1L, 2L, 1L, 2L, 2L, 1L, 
    2L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 2L, 1L, 
    2L, 2L, 2L, 2L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 
    1L, 2L), .Label = c("no", "yes"), class = "factor"), SEX = structure(c(2L, 
    1L, 2L, 1L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 2L, 2L, 
    2L, 1L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 2L, 1L, 1L, 2L, 2L, 
    2L, 2L, 1L, 2L, 2L, 2L, 1L, 1L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 
    2L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 2L, 2L, 2L, 
    1L, 2L, 2L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 
    2L, 2L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 1L, 
    1L, 1L, 2L, 2L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 1L, 
    2L, 2L, 2L, 1L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 1L, 2L, 1L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 
    2L, 2L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 
    1L, 1L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 2L, 1L, 2L, 1L, 1L, 1L, 
    2L, 1L, 2L, 2L, 1L, 2L, 1L, 1L, 2L, 1L, 2L, 2L, 2L, 2L, 1L, 
    1L, 1L, 1L, 2L, 2L, 2L, 2L, 1L, 2L, 2L, 1L, 2L, 2L, 2L, 2L, 
    2L, 2L, 1L, 1L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 
    1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 
    1L, 2L, 2L, 1L, 2L, 2L, 2L, 1L, 1L, 2L, 1L, 1L, 2L, 2L, 2L, 
    2L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 2L, 2L, 2L, 2L, 
    1L, 2L, 1L, 1L, 2L, 1L, 1L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    2L, 1L), .Label = c("female", "male"), class = "factor")), .Names = c("STUD", 
"ENG", "FRA", "SPA", "ITA", "WOR", "DEG", "SEX"), row.names = c(NA, 
-303L), class = "data.frame"), schools = structure(list(Barcelona = c(1, 
0, 0, 0, 0, 0), London = c(0, 1, 0, 0, 0, 0), Milano = c(0, 0, 
1, 0, 0, 0), Paris = c(0, 0, 0, 1, 0, 0), St.Gallen = c(0, 0, 
0, 0, 1, 0), Stockholm = c(0, 0, 0, 0, 0, 1), LAT = c(1, 0, 1, 
1, 0, 0)), .Names = c("Barcelona", "London", "Milano", "Paris", 
"St.Gallen", "Stockholm", "LAT"), row.names = c("Barcelona", 
"London", "Milano", "Paris", "St.Gallen", "Stockholm"), class = "data.frame")), .Names = c("preferences", 
"students", "schools"))
hturner/BradleyTerry2 documentation built on June 10, 2025, 11:05 a.m.