list(
Y = c(18, 62, 44, 12, 18, 27, 20, 29, 39, 21, 40, 23, 30, 20, 27, 373, 57, 22, 13, 18, 29, 31, 22, 26, 27, 24, 21, 107, 37, 29, 127, 52, 16, 25, 29, 31, 27, 33, 9, 22, 23, 24, 22, 23, 11, 20, 6, 9, 22, 34, 16, 8, 27, 22, 33, 11, 15, 37, 16, 44, 11, 21, 11, 137, 34, 139, 94, 142, 63, 40, 28, 42, 35, 34, 98, 32, 85, 57, 44, 67, 44, 44, 212, 28, 48, 36, 66, 21, 31, 62, 39, 72, 25, 83, 39, 40, 34, 138, 59, 47, 53, 53, 48, 27, 51, 75, 35, 89, 163, 51, 34, 43, 77, 61, 77, 32, 60, 61, 98, 29, 155, 31, 65, 54, 59, 50, 38, 90, 29, 19, 51, 25, 64, 38, 49, 22, 41, 26, 34, 38, 32, 41, 35, 32, 21, 25, 17, 24, 35, 27, 19, 44, 29, 14, 14, 40, 31, 35, 31, 11, 31, 11, 24, 15, 53, 50, 20, 16, 11, 18, 11, 29, 39, 20, 27, 27, 21, 30, 24, 27, 32, 134, 68, 105, 63, 74, 97, 25, 63, 32, 42, 28, 28, 63, 15, 70, 111, 42, 18, 81, 27, 124, 40, 39, 36, 27, 51, 49, 38, 91, 36, 35, 24, 51, 39, 35, 65, 33, 45, 23, 39, 29, 25, 56, 31, 21, 240, 13, 22, 16, 25, 14, 17, 22, 11, 18, 27, 14, 12, 19, 26, 33, 12, 14, 34, 18, 18, 20, 10, 8, 5, 21, 10, 17, 25, 32, 10, 12, 12, 14, 5, 30, 13, 19, 32, 22, 32, 35, 17, 17, 19, 17, 10, 11, 19, 21, 35, 24, 21, 22, 24, 18, 27, 8, 19, 28, 141, 8, 41, 20, 15, 43, 20, 23, 23, 8, 11, 24, 31, 24, 26, 21, 21, 24, 29, 19, 28, 67, 10, 16, 5, 20, 43, 14, 26, 38, 23, 21, 17, 26, 27, 117, 30, 53, 40, 47, 26, 501, 177, 12, 11, 3, 15, 20, 3, 5, 4, 6, 5, 3, 14, 5, 5, 4, 5, 4, 4, 6, 17, 8, 13, 7, 5, 9, 3, 4, 3, 3, 12, 8, 22, 17, 11, 7, 8, 8, 6, 27, 8, 15, 3, 3, 12, 8, 8, 40, 15, 12, 5, 6, 13, 10, 4, 9, 10, 2, 4, 3, 19, 15, 9, 11, 13, 9, 13, 7, 11, 15, 6, 11, 15, 12, 6, 5, 5, 9, 9, 10, 9, 16, 37, 61, 7, 52, 15, 25, 15, 12, 8, 21, 7, 10, 1, 17, 8, 4, 4, 20, 5, 8, 12, 9, 5, 11, 3, 3, 9, 13, 8, 17, 7, 6, 15, 13, 5, 11, 7, 7, 6, 14, 3, 10, 13, 4, 8, 4, 10, 7, 8, 8, 7, 10, 7, 6, 21, 39, 33, 8, 17, 23, 13, 10, 7, 10, 9, 11, 12, 7, 9, 5, 3, 1, 9, 26, 7, 6, 10, 8, 11, 6, 9, 6, 9, 13, 9, 5, 10, 6, 10, 11, 18, 4, 10, 2, 17, 16, 12, 5, 8, 12, 6, 3, 7, 8, 13, 4, 5, 15, 24, 7, 4, 7, 10, 4, 4, 4, 13, 13, 7, 17, 9, 11, 7, 4, 11, 5, 9, 6, 10, 2, 6, 3, 5, 2),
E=c(16.350505452, 45.905996673, 44.662482069, 16.323083192, 26.948541578, 33.337132928, 30.650874197, 40.511893282, 55.239160492, 24.651956675, 49.849890861, 35.583780515, 43.309917804, 26.224090356, 41.787197761, 341.46755342, 51.772767593, 23.619069094, 26.990842362, 26.978395372, 46.858085957, 34.99386378, 21.549833077, 32.195798651, 19.834919527, 25.166002463, 24.812183026, 104.82661349, 39.360527742, 34.09700327, 116.61801328, 58.79854609, 17.930808308, 23.778682047, 32.702567085, 34.388639748, 41.232052371, 41.36566576, 10.951621815, 27.036758102, 19.762979556, 27.788993844, 25.594904156, 33.199734984, 20.103410442, 23.063828063, 14.54424168, 10.052833867, 26.182144961, 30.983810501, 18.661119318, 18.586888216, 32.308030671, 19.9818753, 43.062018513, 19.189262446, 22.727827729, 27.376900574, 20.077727019, 57.068355487, 16.953983895, 18.643586386, 10.261700812, 113.01936651, 27.224877126, 121.62491504, 112.57829426, 133.45919523, 47.717203078, 51.552841364, 39.379603421, 46.4828566, 25.881449157, 34.248795061, 78.022289975, 52.109666094, 102.52570354, 84.614960862, 54.253675496, 87.109078253, 43.762838411, 54.571852397, 188.89327082, 34.310392595, 59.501460601, 48.15952423, 82.972111399, 33.384630537, 43.375212387, 50.765398366, 53.299227338, 98.756204398, 23.820688642, 61.452967174, 44.078881598, 55.365379504, 31.366261335, 129.32030295, 69.863009165, 46.602517956, 64.160181082, 57.209859208, 48.960544869, 27.875506321, 68.039068269, 60.357938456, 41.987993703, 82.03652179, 124.32817315, 45.196610648, 34.65202829, 37.404828053, 73.930078398, 52.601519924, 87.30613504, 24.20431189, 55.988948927, 53.050731356, 79.598487735, 26.583449238, 129.00931117, 23.397430232, 54.561835389, 50.331174396, 50.743309861, 48.380302536, 44.769032111, 75.733922711, 42.946980565, 18.407395224, 63.441892317, 34.441267927, 53.595123469, 44.861651315, 49.682315326, 31.693720725, 43.360965372, 23.992646932, 39.016190789, 37.737988595, 27.845279919, 48.098567741, 37.952798753, 32.740088502, 24.972862169, 22.427068234, 24.17697364, 25.399146376, 30.05740562, 18.460118406, 12.58817868, 39.064804606, 34.017857238, 18.739117461, 25.472551658, 35.146221307, 18.238279251, 21.74068717, 18.209541912, 12.206569797, 24.450055421, 9.6097988112, 20.012580546, 6.9983604292, 33.270306734, 34.080403862, 10.758826863, 10.339994011, 8.6047779949, 15.215899624, 7.153950758, 20.290154882, 25.867484224, 13.901992641, 19.738928311, 20.293246246, 15.966477502, 20.038182993, 27.890337307, 32.730142734, 20.844708835, 118.07727111, 62.278152674, 93.54187492, 48.037988549, 89.124122864, 73.799229725, 23.260975122, 50.17720063, 17.177166412, 30.201313895, 24.50297134, 25.78605687, 54.466151563, 11.013073258, 53.87678183, 73.005137111, 40.025580433, 23.256235647, 62.858441563, 25.869544516, 95.398096249, 21.971482082, 26.381230494, 33.143405196, 20.219691456, 30.942540538, 39.233202319, 25.534099651, 68.83880369, 25.40276542, 39.571981019, 22.587831076, 47.431180055, 38.811783601, 28.91740273, 47.501297007, 29.45310927, 34.261263068, 20.712486902, 30.490812518, 28.904703873, 35.157376791, 44.666889261, 20.936453297, 20.0249944, 254.50640258, 10.86174502, 18.996921805, 18.997657122, 20.715647564, 21.201540577, 19.828481102, 18.319262665, 17.471373856, 22.124340332, 34.729878844, 16.794264881, 16.278594738, 17.08487187, 18.80676788, 54.055770897, 14.554088279, 17.394699299, 39.140950948, 23.834856304, 29.868787166, 22.795415463, 11.550438888, 9.3466921058, 8.4225366741, 19.423540842, 13.510249338, 17.49774872, 21.672110644, 30.186990382, 14.565878849, 20.347725063, 15.222418801, 14.855010449, 8.5859520209, 23.502385368, 8.3114798726, 18.539115775, 22.772555482, 19.369998798, 17.635369635, 26.944757534, 25.25098313, 15.169650564, 13.921095425, 13.675440489, 8.9286438377, 10.870539694, 21.813289674, 19.582994147, 17.270697083, 18.576740843, 23.697956923, 15.285960475, 15.452205381, 13.097751187, 19.668583689, 7.9739310273, 18.069932088, 20.306550567, 100.30380641, 7.2593042337, 30.686586135, 20.453585173, 19.825018803, 31.546999233, 17.452316474, 20.731221983, 17.109342119, 12.349124267, 11.544680411, 22.718759215, 30.321285326, 20.172697952, 15.524708668, 15.270531492, 15.709055386, 22.139841345, 24.123750547, 20.633225459, 26.401158473, 51.089288903, 8.4081520957, 12.276426487, 7.8238109749, 19.395880625, 38.28842951, 15.40932073, 20.498973715, 27.954151198, 14.779133533, 22.738041616, 22.739002518, 22.734258608, 25.903604801, 72.936497008, 20.119743074, 30.837895843, 41.824901246, 32.040054412, 18.714663458, 393.09345467, 210.4523016, 16.781255393, 18.754189301, 8.5314416264, 12.75839738, 23.136911961, 7.2089461463, 6.5006526353, 6.5844747111, 9.9518611784, 6.3768427696, 6.2597982625, 12.893415289, 7.0212863558, 10.112674588, 8.2219986471, 14.162359189, 4.0438143359, 10.179862311, 7.0602579369, 18.450832719, 7.9023923297, 6.6325564335, 6.6265236237, 6.6814371303, 16.524862266, 5.9555220715, 5.8390952046, 5.3840347932, 7.7975980691, 14.05280001, 10.989354691, 23.449046369, 13.525884873, 18.068484869, 7.5661771033, 5.3879434495, 11.19095354, 6.8586303699, 21.185849766, 7.7878848086, 16.329358287, 5.9641887182, 3.8840741379, 13.270743562, 9.7262991423, 12.069089207, 40.627193934, 19.269180895, 12.881441762, 10.157416786, 3.8736856614, 6.9128039181, 8.1512213338, 4.878540292, 8.1585186655, 4.1741347035, 4.3313523815, 7.109721534, 5.7690952327, 11.702047647, 12.122254123, 10.247396127, 5.6235334497, 6.4008036836, 4.4832803596, 9.4092636962, 6.5627072452, 7.3293833682, 11.095794175, 3.0112408, 5.9185245755, 13.56361289, 5.7144754656, 3.9310498887, 4.2604623983, 4.4521711028, 5.2899378897, 7.962762224, 8.7463369108, 5.2772642613, 9.950551729, 56.79615568, 91.98745533, 13.591229856, 98.504346166, 14.094244498, 22.694777448, 15.142893086, 22.75761769, 14.112147059, 21.89364603, 12.232737993, 16.291972093, 6.8506757584, 21.042666273, 9.4950346915, 8.3468734043, 17.169320168, 21.118458069, 8.9210565769, 10.038352248, 15.097451827, 15.782058425, 6.7874201985, 12.929836272, 5.3892655241, 12.017285154, 7.2689258303, 12.510547345, 12.289544958, 18.838627524, 10.804058485, 6.9241351897, 28.07787897, 18.048566541, 12.026253048, 22.017071332, 7.0603232326, 7.6306842884, 9.2180581159, 21.986034937, 4.7387213799, 11.108614072, 17.583011559, 10.086351595, 10.291511362, 9.4909716523, 16.1648755, 9.6499633349, 9.1994567088, 14.15648604, 9.55582857, 16.80682049, 10.796652818, 16.599135642, 18.795933311, 53.913347573, 50.522667886, 12.235149714, 14.55399853, 23.704218495, 11.526741692, 14.623999291, 6.7520507698, 6.9102972717, 7.1373707802, 16.350596451, 10.653998895, 3.6282734891, 10.728131263, 5.6847946131, 5.7850345933, 5.3412490154, 14.763922379, 24.112697968, 10.068851667, 5.399817624, 8.1535797793, 7.6754556494, 16.045276499, 5.9436742419, 6.7831184058, 12.929288028, 7.869684692, 14.653350796, 15.703431388, 12.995774795, 16.044822335, 7.6808732893, 12.947404302, 18.68716674, 16.697110252, 8.1312659769, 15.479267133, 7.0755180597, 35.866382616, 22.148746195, 17.676007496, 8.7519989791, 10.887652809, 19.650145137, 8.5017853244, 11.916835119, 9.9411992525, 16.109378545, 21.215196099, 6.088688721, 8.4006927249, 11.243317807, 26.174611769, 10.804891095, 6.9078212982, 10.607645713, 12.189363842, 6.185642093, 8.2960015794, 5.2312999446, 12.067295117, 16.218587518, 7.152391074, 20.310687594, 9.683513901, 12.746292726, 10.814224929, 6.0745230435, 12.183378908, 6.1340090332, 11.391385727, 10.030374873, 11.348025553, 5.9645381282, 8.6383685874, 7.7408049416, 11.83531124, 7.3186311766),
adj = c(
12, 
10, 11, 
6, 8, 15, 387, 
10, 11, 13, 
7, 11, 12, 14, 
3, 15, 16, 38, 40, 385, 390, 
5, 12, 
3, 10, 13, 15, 
13, 14, 16, 44, 
2, 4, 8, 11, 13, 
2, 4, 5, 10, 12, 13, 14, 
1, 5, 7, 11, 
4, 8, 9, 10, 11, 14, 15, 16, 
5, 9, 11, 13, 44, 
3, 6, 8, 13, 16, 
6, 9, 13, 15, 38, 44, 
18, 20, 23, 26, 27, 
17, 22, 26, 27, 32, 
20, 23, 
17, 19, 23, 26, 31, 36, 45, 494, 498, 
24, 25, 139, 142, 145, 521, 543, 
18, 24, 25, 27, 32, 491, 503, 530, 
17, 19, 20, 27, 491, 492, 494, 495, 
21, 22, 25, 32, 33, 142, 
21, 22, 24, 530, 543, 
17, 18, 20, 31, 32, 
17, 18, 22, 23, 32, 491, 
31, 
34, 46, 47, 59, 60, 61, 64, 106, 
31, 32, 33, 35, 105, 
20, 26, 28, 30, 32, 34, 35, 36, 43, 
18, 22, 24, 26, 27, 30, 31, 33, 
24, 30, 32, 104, 105, 
29, 31, 35, 43, 46, 106, 
30, 31, 34, 105, 106, 
20, 31, 43, 45, 
41, 42, 44, 62, 65, 
6, 16, 40, 42, 43, 44, 
40, 45, 362, 390, 391, 496, 498, 
6, 38, 39, 43, 45, 390, 
37, 42, 46, 62, 64, 
37, 38, 41, 43, 44, 46, 
31, 34, 36, 38, 40, 42, 45, 46, 
9, 14, 16, 37, 38, 42, 
20, 36, 39, 40, 43, 498, 
29, 34, 41, 42, 43, 64, 
29, 59, 62, 64, 
53, 58, 
52, 59, 62, 
60, 99, 
56, 
49, 54, 56, 58, 59, 62, 
48, 58, 63, 
52, 55, 58, 59, 60, 61, 
54, 57, 58, 60, 99, 
51, 52, 58, 62, 63, 
55, 96, 99, 
48, 52, 53, 54, 55, 56, 63, 
29, 47, 49, 52, 54, 61, 62, 
29, 50, 54, 55, 61, 99, 100, 102, 103, 106, 
29, 54, 59, 60, 
37, 41, 47, 49, 52, 56, 59, 64, 65, 
53, 56, 58, 
29, 41, 46, 47, 62, 
37, 62, 
67, 77, 78, 
66, 69, 71, 72, 77, 78, 80, 
71, 72, 77, 93, 94, 98, 108, 113, 
67, 78, 79, 80, 
78, 79, 89, 
67, 68, 72, 77, 
67, 68, 71, 80, 93, 
74, 75, 90, 91, 
73, 75, 77, 91, 
73, 74, 77, 90, 113, 
79, 80, 96, 
66, 67, 68, 71, 74, 75, 78, 83, 84, 91, 113, 
66, 67, 69, 70, 77, 79, 83, 86, 87, 89, 
69, 70, 76, 78, 80, 89, 
67, 69, 72, 76, 79, 93, 96, 98, 
85, 
92, 147, 
77, 78, 84, 87, 91, 92, 
77, 83, 91, 
81, 86, 88, 89, 
78, 85, 87, 88, 89, 
78, 83, 86, 88, 92, 
85, 86, 87, 92, 147, 160, 
70, 78, 79, 85, 86, 
73, 75, 91, 92, 113, 115, 116, 148, 
73, 74, 77, 83, 84, 90, 92, 
82, 83, 87, 88, 90, 91, 147, 148, 153, 
68, 72, 80, 98, 
68, 98, 108, 112, 
97, 99, 100, 
57, 76, 80, 97, 98, 99, 
95, 96, 98, 99, 100, 111, 119, 
68, 80, 93, 94, 96, 97, 108, 109, 112, 119, 
50, 55, 57, 60, 95, 96, 97, 100, 
60, 95, 97, 99, 102, 111, 118, 
102, 103, 105, 
60, 100, 101, 103, 105, 107, 118, 
60, 101, 102, 105, 106, 
33, 105, 107, 114, 142, 144, 
30, 33, 35, 101, 102, 103, 104, 106, 107, 
29, 34, 35, 60, 103, 105, 
102, 104, 105, 114, 118, 
68, 94, 98, 109, 112, 113, 
98, 108, 110, 113, 119, 
109, 113, 115, 119, 
97, 100, 118, 119, 
94, 98, 108, 
68, 75, 77, 90, 108, 109, 110, 115, 
104, 107, 115, 116, 117, 118, 144, 
90, 110, 113, 114, 116, 118, 119, 
90, 114, 115, 117, 148, 
114, 116, 135, 137, 144, 148, 156, 
100, 102, 107, 111, 114, 115, 119, 
97, 98, 109, 110, 111, 115, 118, 
125, 131, 
122, 126, 127, 128, 129, 131, 133, 
121, 128, 131, 
126, 129, 132, 166, 180, 
125, 126, 130, 170, 179, 200, 202, 
120, 124, 126, 130, 131, 299, 
121, 123, 124, 125, 129, 131, 166, 172, 180, 
121, 129, 132, 133, 135, 136, 
121, 122, 131, 133, 138, 140, 299, 300, 305, 
121, 123, 126, 127, 132, 
124, 125, 201, 202, 304, 
120, 121, 122, 125, 126, 128, 299, 
123, 127, 129, 136, 155, 180, 
121, 127, 128, 134, 135, 138, 
133, 135, 137, 138, 
117, 127, 133, 134, 136, 137, 156, 
127, 132, 135, 155, 156, 
117, 134, 135, 138, 143, 144, 
128, 133, 134, 137, 140, 141, 143, 
21, 142, 
128, 138, 141, 300, 301, 514, 527, 
138, 140, 143, 145, 514, 515, 
21, 24, 104, 139, 143, 144, 145, 
137, 138, 141, 142, 144, 145, 
104, 114, 117, 137, 142, 143, 
21, 141, 142, 143, 515, 521, 528, 
152, 155, 156, 
82, 88, 92, 152, 153, 160, 
90, 92, 116, 117, 153, 156, 
150, 154, 172, 174, 177, 180, 
149, 154, 158, 161, 177, 327, 
152, 154, 158, 160, 
146, 147, 151, 153, 154, 155, 156, 160, 
92, 147, 148, 152, 156, 
149, 150, 151, 152, 155, 158, 180, 
132, 136, 146, 152, 154, 156, 180, 
117, 135, 136, 146, 148, 152, 153, 155, 
161, 
150, 151, 154, 159, 160, 161, 
158, 160, 161, 
88, 147, 151, 152, 158, 159, 
150, 157, 158, 159, 323, 327, 
165, 179, 200, 
176, 181, 
173, 178, 181, 
162, 179, 200, 
123, 126, 180, 
173, 178, 
181, 
179, 197, 202, 
124, 172, 173, 179, 
181, 326, 
126, 149, 170, 173, 174, 180, 
164, 167, 170, 172, 174, 176, 178, 179, 181, 
149, 172, 173, 176, 177, 
178, 179, 196, 197, 198, 
163, 173, 174, 177, 181, 
149, 150, 174, 176, 324, 326, 327, 
164, 167, 173, 175, 179, 181, 
124, 162, 165, 169, 170, 173, 175, 178, 197, 200, 202, 
123, 126, 132, 149, 154, 155, 166, 172, 
163, 164, 168, 171, 173, 176, 178, 326, 
183, 184, 186, 187, 
182, 184, 186, 204, 205, 218, 
182, 183, 185, 187, 217, 
184, 187, 193, 194, 221, 
182, 183, 187, 189, 205, 
182, 184, 185, 186, 189, 191, 194, 
189, 
186, 187, 188, 190, 191, 197, 201, 202, 205, 
189, 191, 192, 201, 
187, 189, 190, 192, 194, 289, 
190, 191, 201, 289, 293, 304, 305, 307, 
185, 194, 221, 314, 315, 320, 
185, 187, 191, 193, 289, 320, 
198, 
175, 197, 
169, 175, 179, 189, 196, 198, 202, 204, 205, 
175, 195, 197, 204, 206, 210, 
200, 202, 
124, 162, 165, 179, 199, 202, 
130, 189, 190, 192, 202, 304, 
124, 130, 169, 179, 189, 197, 199, 200, 201, 
204, 205, 
183, 197, 198, 203, 205, 206, 218, 
183, 186, 189, 197, 203, 204, 
198, 204, 210, 211, 218, 219, 
208, 209, 
207, 209, 212, 215, 216, 
207, 208, 210, 212, 
198, 206, 209, 211, 212, 
206, 210, 212, 213, 219, 
208, 209, 210, 211, 213, 214, 216, 
211, 212, 214, 219, 225, 
212, 213, 223, 225, 
208, 216, 
208, 212, 215, 
184, 218, 219, 221, 222, 225, 
183, 204, 206, 217, 219, 
206, 211, 213, 217, 218, 225, 
221, 316, 
185, 193, 217, 220, 222, 315, 316, 
217, 221, 224, 225, 311, 316, 319, 
214, 224, 225, 317, 
222, 223, 225, 311, 317, 319, 321, 
213, 214, 217, 219, 222, 223, 224, 
234, 243, 244, 
232, 237, 242, 
245, 
241, 247, 258, 
247, 
238, 240, 242, 246, 248, 
227, 236, 237, 242, 244, 312, 
235, 241, 242, 245, 
226, 243, 244, 254, 266, 294, 295, 320, 
233, 236, 241, 242, 255, 
232, 235, 242, 244, 254, 255, 
227, 232, 239, 242, 246, 312, 
231, 248, 318, 
237, 246, 248, 312, 313, 318, 
231, 242, 245, 
229, 233, 235, 245, 247, 255, 258, 
227, 231, 232, 233, 235, 236, 237, 240, 245, 246, 
226, 234, 244, 312, 320, 
226, 232, 234, 236, 243, 254, 
228, 233, 240, 241, 242, 247, 
231, 237, 239, 242, 248, 
229, 230, 241, 245, 
231, 238, 239, 246, 318, 
255, 
256, 
259, 
253, 256, 257, 258, 259, 260, 
252, 256, 257, 
234, 236, 244, 255, 266, 268, 
235, 236, 241, 249, 254, 258, 259, 260, 268, 
250, 252, 253, 258, 
252, 253, 259, 265, 
229, 241, 252, 255, 256, 260, 
251, 252, 255, 257, 260, 265, 268, 
252, 255, 258, 259, 
264, 
268, 
267, 
261, 266, 267, 269, 276, 292, 
257, 259, 268, 269, 
234, 254, 264, 268, 269, 292, 294, 
263, 264, 269, 270, 276, 
254, 255, 259, 262, 265, 266, 269, 
264, 265, 266, 267, 268, 
267, 276, 283, 
275, 
276, 
277, 
279, 
271, 276, 277, 278, 282, 290, 293, 302, 303, 306, 
264, 267, 270, 272, 275, 278, 279, 281, 283, 292, 
273, 275, 280, 282, 302, 522, 539, 
275, 276, 290, 292, 
274, 276, 280, 281, 283, 448, 451, 526, 534, 
277, 279, 281, 282, 526, 529, 533, 539, 
276, 279, 280, 282, 
275, 277, 280, 281, 
270, 276, 279, 
289, 
286, 287, 290, 
285, 287, 291, 
285, 286, 288, 290, 291, 292, 294, 
287, 294, 
191, 192, 194, 284, 291, 293, 294, 295, 320, 
275, 278, 285, 287, 291, 292, 293, 
286, 287, 289, 290, 293, 294, 
264, 266, 276, 278, 287, 290, 294, 
192, 275, 289, 290, 291, 303, 307, 
234, 266, 287, 288, 289, 291, 292, 295, 
234, 289, 294, 320, 
299, 304, 
306, 
307, 
125, 128, 131, 296, 304, 305, 
128, 140, 301, 305, 306, 
140, 300, 302, 306, 522, 527, 
275, 277, 301, 306, 522, 
275, 293, 306, 307, 
130, 192, 201, 296, 299, 305, 
128, 192, 299, 300, 304, 306, 307, 
275, 297, 300, 301, 302, 303, 305, 307, 
192, 293, 298, 303, 305, 306, 
312, 313, 
318, 
321, 
222, 224, 319, 
232, 237, 239, 243, 308, 313, 320, 
239, 308, 312, 314, 315, 318, 319, 320, 
193, 313, 315, 320, 
193, 221, 313, 314, 316, 319, 
220, 221, 222, 315, 319, 
223, 224, 321, 
238, 239, 248, 309, 313, 319, 321, 
222, 224, 311, 313, 315, 316, 318, 321, 
193, 194, 234, 243, 289, 295, 312, 313, 314, 
224, 310, 317, 318, 319, 
324, 325, 326, 
161, 325, 327, 
177, 322, 325, 326, 327, 
322, 323, 324, 327, 
171, 177, 181, 322, 324, 
150, 161, 177, 323, 324, 325, 
329, 334, 354, 359, 361, 363, 373, 
328, 341, 349, 354, 361, 370, 
342, 366, 
344, 
346, 
346, 349, 367, 
328, 363, 
336, 
335, 345, 364, 371, 397, 
341, 345, 367, 370, 
347, 352, 368, 437, 449, 453, 458, 
344, 346, 349, 351, 354, 356, 
342, 353, 358, 363, 471, 472, 473, 
329, 337, 345, 350, 361, 370, 371, 
330, 340, 359, 363, 366, 473, 488, 490, 
344, 347, 356, 357, 368, 369, 
331, 339, 343, 348, 351, 356, 369, 
336, 337, 341, 371, 
332, 333, 339, 349, 351, 
338, 343, 352, 357, 368, 
344, 351, 369, 
329, 333, 339, 346, 354, 367, 370, 
341, 360, 361, 371, 395, 
339, 344, 346, 348, 
338, 347, 353, 357, 458, 469, 
340, 352, 357, 358, 469, 472, 
328, 329, 339, 349, 356, 373, 
359, 360, 362, 365, 366, 372, 493, 
339, 343, 344, 354, 357, 373, 
343, 347, 352, 353, 356, 358, 373, 
340, 353, 357, 363, 373, 
328, 342, 355, 360, 361, 363, 366, 
350, 355, 359, 361, 372, 395, 
328, 329, 341, 350, 359, 360, 
39, 355, 365, 391, 396, 493, 496, 
328, 334, 340, 342, 358, 359, 373, 
336, 371, 395, 397, 405, 
355, 362, 372, 392, 396, 
330, 342, 355, 359, 490, 493, 
333, 337, 349, 370, 
338, 343, 347, 369, 437, 440, 441, 
343, 344, 348, 368, 440, 459, 
329, 337, 341, 349, 367, 
336, 341, 345, 350, 364, 395, 
355, 360, 365, 392, 395, 399, 
328, 354, 356, 357, 358, 363, 
386, 
394, 395, 408, 
382, 400, 
402, 
388, 401, 404, 
409, 
381, 384, 393, 394, 408, 
380, 384, 386, 394, 407, 410, 
376, 383, 400, 409, 
382, 389, 400, 403, 409, 
380, 381, 386, 388, 393, 
6, 387, 390, 402, 
374, 381, 384, 388, 410, 
3, 385, 402, 409, 
378, 384, 386, 393, 398, 404, 406, 
383, 392, 400, 403, 406, 408, 
6, 39, 40, 385, 391, 402, 
39, 362, 390, 396, 402, 
365, 372, 389, 396, 399, 403, 408, 
380, 384, 388, 406, 408, 
375, 380, 381, 395, 405, 407, 408, 
350, 360, 364, 371, 372, 375, 394, 399, 405, 408, 
362, 365, 391, 392, 402, 403, 
336, 364, 405, 407, 
388, 400, 404, 406, 
372, 392, 395, 408, 
376, 382, 383, 389, 398, 406, 
378, 
377, 385, 387, 390, 391, 396, 403, 409, 
383, 389, 392, 396, 402, 409, 
378, 388, 398, 
364, 394, 395, 397, 407, 
388, 389, 393, 398, 400, 408, 
381, 394, 397, 405, 
375, 380, 389, 392, 393, 394, 395, 399, 406, 
379, 382, 383, 387, 402, 403, 
381, 386, 
424, 430, 
428, 432, 450, 
435, 
443, 
448, 451, 
460, 464, 
418, 445, 455, 463, 
417, 419, 442, 455, 457, 464, 
418, 442, 448, 451, 452, 464, 
421, 435, 440, 441, 444, 447, 456, 
420, 428, 441, 456, 
433, 436, 443, 478, 486, 510, 
426, 430, 431, 445, 
411, 430, 434, 438, 439, 454, 457, 463, 
429, 443, 467, 483, 
423, 431, 432, 450, 
436, 438, 446, 449, 453, 454, 
412, 421, 432, 437, 441, 446, 450, 456, 
425, 443, 458, 461, 468, 472, 
411, 423, 424, 431, 438, 445, 463, 
423, 426, 430, 432, 438, 446, 
412, 426, 428, 431, 446, 450, 
422, 436, 454, 510, 
424, 439, 454, 460, 464, 510, 536, 
413, 420, 444, 447, 462, 
422, 427, 433, 443, 449, 454, 461, 
338, 368, 428, 441, 446, 453, 
424, 427, 430, 431, 446, 454, 
424, 434, 457, 464, 
368, 369, 420, 441, 447, 459, 
368, 420, 421, 428, 437, 440, 
418, 419, 448, 
414, 422, 425, 429, 436, 461, 478, 479, 483, 485, 
420, 435, 462, 
417, 423, 430, 463, 
427, 428, 431, 432, 437, 438, 453, 
420, 435, 440, 459, 
279, 415, 419, 442, 451, 
338, 427, 436, 453, 458, 461, 
412, 426, 428, 432, 456, 
279, 415, 419, 448, 452, 520, 534, 544, 
419, 451, 460, 464, 520, 
338, 427, 437, 446, 449, 
424, 427, 433, 434, 436, 438, 
417, 418, 
420, 421, 428, 450, 
418, 424, 439, 463, 464, 
338, 352, 429, 449, 461, 469, 472, 
369, 440, 447, 
416, 434, 452, 464, 518, 520, 536, 
429, 436, 443, 449, 458, 
435, 444, 
417, 424, 430, 445, 457, 
416, 418, 419, 434, 439, 452, 457, 460, 
467, 468, 470, 471, 
470, 475, 477, 483, 499, 500, 
425, 465, 468, 470, 483, 
429, 465, 467, 471, 472, 
352, 353, 458, 472, 
465, 466, 467, 471, 473, 483, 499, 
340, 465, 468, 470, 472, 473, 
340, 353, 429, 458, 468, 469, 471, 
340, 342, 470, 471, 488, 499, 
479, 483, 
466, 477, 491, 495, 497, 500, 
477, 482, 483, 484, 
466, 475, 476, 483, 484, 497, 
422, 443, 480, 485, 486, 
443, 474, 481, 482, 483, 485, 
478, 481, 485, 486, 511, 516, 524, 537, 
479, 480, 482, 485, 513, 537, 
476, 479, 481, 483, 484, 513, 
425, 443, 466, 467, 470, 474, 476, 477, 479, 482, 
476, 477, 482, 497, 503, 513, 530, 538, 
443, 478, 479, 480, 481, 
422, 478, 480, 510, 516, 518, 536, 
488, 499, 502, 504, 
342, 473, 487, 490, 499, 501, 504, 
492, 494, 496, 498, 501, 504, 
342, 366, 488, 493, 501, 
22, 23, 27, 475, 495, 497, 503, 
23, 489, 494, 495, 502, 504, 
355, 362, 366, 490, 496, 501, 
20, 23, 489, 492, 498, 
23, 475, 491, 492, 500, 502, 
39, 362, 489, 493, 498, 501, 
475, 477, 484, 491, 503, 
20, 39, 45, 489, 494, 496, 
466, 470, 473, 487, 488, 500, 502, 
466, 475, 495, 499, 502, 
488, 489, 490, 493, 496, 504, 
487, 492, 495, 499, 500, 504, 
22, 484, 491, 497, 530, 
487, 488, 489, 492, 501, 502, 
512, 517, 
518, 
524, 542, 
523, 541, 
542, 
422, 433, 434, 486, 536, 
480, 524, 537, 542, 
505, 517, 519, 523, 532, 541, 542, 
481, 482, 484, 537, 538, 
140, 141, 515, 519, 527, 535, 
141, 145, 514, 519, 525, 528, 
480, 486, 518, 524, 540, 
505, 512, 519, 525, 537, 542, 
460, 486, 506, 516, 520, 531, 536, 540, 544, 
512, 514, 515, 517, 525, 535, 541, 
451, 452, 460, 518, 544, 
21, 145, 528, 543, 
277, 301, 302, 523, 527, 529, 539, 541, 
508, 512, 522, 529, 532, 541, 
480, 507, 511, 516, 531, 532, 540, 542, 
515, 517, 519, 528, 537, 538, 
279, 280, 531, 533, 534, 
140, 301, 514, 522, 535, 541, 
145, 515, 521, 525, 538, 543, 
280, 522, 523, 532, 533, 539, 
22, 25, 484, 503, 538, 543, 
518, 524, 526, 532, 533, 534, 540, 544, 
512, 523, 524, 529, 531, 533, 542, 
280, 526, 529, 531, 532, 
279, 451, 526, 531, 544, 
514, 519, 527, 541, 
434, 460, 486, 510, 518, 
480, 481, 511, 513, 517, 525, 538, 542, 
484, 513, 525, 528, 530, 537, 543, 
277, 280, 522, 529, 
516, 518, 524, 531, 
508, 512, 519, 522, 523, 527, 535, 
507, 509, 511, 512, 517, 524, 532, 537, 
21, 25, 521, 528, 530, 538, 
451, 518, 520, 531, 534 
),
num = c(1, 2, 4, 3, 4, 7, 2, 4, 4, 5, 7, 4, 8, 5, 5, 6, 5, 5, 2, 9, 7, 8, 8, 6, 5, 5, 6, 1, 8, 5, 9, 8, 5, 6, 5, 4, 5, 6, 7, 6, 5, 6, 8, 6, 6, 6, 4, 2, 3, 2, 1, 6, 3, 6, 5, 5, 3, 7, 7, 10, 4, 9, 3, 5, 2, 3, 7, 8, 4, 3, 4, 5, 4, 4, 5, 3, 11, 10, 6, 8, 1, 2, 6, 3, 4, 5, 5, 6, 5, 8, 7, 9, 4, 4, 3, 6, 7, 10, 8, 7, 3, 7, 5, 6, 9, 6, 5, 6, 5, 4, 4, 3, 8, 7, 7, 5, 7, 7, 7, 2, 7, 3, 5, 7, 6, 9, 6, 9, 5, 5, 7, 6, 6, 4, 7, 5, 6, 7, 2, 7, 6, 7, 6, 6, 7, 3, 6, 6, 6, 6, 4, 8, 5, 7, 7, 8, 1, 6, 3, 6, 6, 3, 2, 3, 3, 3, 2, 1, 3, 4, 2, 6, 9, 5, 5, 5, 7, 6, 11, 8, 8, 4, 6, 5, 5, 5, 7, 1, 9, 4, 6, 8, 6, 6, 1, 2, 9, 6, 2, 6, 6, 9, 2, 7, 6, 6, 2, 5, 4, 5, 5, 7, 5, 4, 2, 3, 6, 5, 6, 2, 7, 7, 4, 7, 7, 3, 3, 1, 3, 1, 5, 6, 4, 8, 5, 6, 6, 3, 6, 3, 7, 10, 5, 6, 6, 5, 4, 5, 1, 1, 1, 6, 3, 6, 9, 4, 4, 6, 7, 4, 1, 1, 1, 6, 4, 7, 5, 7, 5, 3, 1, 1, 1, 1, 10, 10, 7, 4, 9, 8, 4, 4, 3, 1, 3, 3, 7, 2, 9, 7, 6, 7, 7, 8, 4, 2, 1, 1, 6, 5, 6, 5, 4, 6, 7, 8, 6, 2, 1, 1, 3, 7, 8, 4, 6, 5, 3, 7, 8, 9, 5, 3, 3, 5, 4, 5, 6, 7, 6, 2, 1, 1, 3, 2, 1, 5, 4, 7, 6, 7, 7, 8, 6, 7, 4, 5, 5, 3, 7, 5, 4, 6, 6, 6, 7, 6, 7, 5, 7, 6, 6, 7, 7, 5, 5, 6, 4, 7, 6, 5, 6, 6, 6, 1, 3, 2, 1, 3, 1, 5, 6, 4, 5, 5, 4, 5, 4, 7, 6, 6, 5, 7, 5, 7, 10, 6, 4, 4, 4, 6, 1, 8, 6, 3, 5, 6, 4, 9, 6, 2, 2, 3, 1, 1, 2, 2, 4, 6, 6, 7, 4, 6, 4, 8, 4, 4, 6, 8, 6, 7, 6, 6, 4, 7, 5, 7, 6, 6, 4, 6, 6, 3, 10, 3, 4, 7, 4, 5, 6, 5, 8, 5, 5, 6, 2, 4, 5, 7, 3, 7, 5, 2, 5, 8, 4, 6, 5, 5, 4, 7, 6, 7, 6, 2, 6, 4, 6, 5, 6, 8, 6, 6, 10, 8, 5, 7, 4, 7, 6, 5, 7, 6, 6, 5, 6, 6, 5, 6, 7, 5, 6, 6, 5, 6, 2, 1, 2, 2, 1, 5, 4, 7, 5, 6, 6, 5, 6, 9, 7, 5, 4, 8, 6, 8, 6, 5, 6, 6, 6, 6, 8, 7, 5, 5, 4, 5, 8, 7, 4, 4, 7, 8, 6, 5),
sumNumNeigh = 2832,
N=544)

