list(N=1030, N1=1016,
O=c(3,8,1,5,2,7,3,23,1,12,1,3,3,2,2,9,0,1,4,1,1,0,2,1,2,3,1,3,2,2,7,4,2,1,3,5,5,5,2,5,2,0,3,2,0,1,5,10,7,0,3,12,1,2,5,2,2,5,1,2,5,4,5,0,4,4,0,3,5,1,3,5,0,3,2,2,3,2,0,1,8,0,1,2,6,6,4,0,2,4,3,0,3,6,1,2,2,1,13,0,2,1,2,3,3,0,4,0,3,1,3,2,1,1,1,2,12,5,0,3,4,1,2,1,1,3,0,1,3,2,2,3,1,2,2,3,1,0,0,2,0,4,3,5,2,0,4,2,2,6,1,3,1,6,4,1,2,2,3,2,1,4,4,5,3,0,3,1,2,1,20,1,10,1,2,1,4,4,2,4,3,1,2,0,2,4,2,1,2,2,3,2,5,2,9,1,3,7,4,1,2,1,3,1,4,3,3,2,1,3,1,2,1,3,3,1,2,1,8,3,2,5,2,0,26,4,5,1,4,0,4,3,2,0,4,2,10,2,3,4,6,4,1,1,6,5,0,25,3,0,2,4,3,8,3,2,2,1,0,2,12,5,1,0,0,1,2,5,2,0,1,5,1,4,1,4,4,2,2,2,7,15,1,3,5,3,1,11,1,1,2,1,1,1,4,7,1,5,4,24,2,2,4,5,3,3,1,2,3,1,0,1,3,2,2,3,2,0,2,2,3,4,9,4,0,0,8,3,7,4,3,1,7,8,1,5,2,3,0,4,2,1,2,2,3,4,2,3,0,1,4,3,1,3,2,7,1,1,13,4,4,3,3,2,2,2,4,0,4,4,5,9,1,2,1,5,5,1,3,0,2,4,1,2,1,3,2,5,7,1,4,3,0,0,5,6,0,0,1,0,2,2,2,0,3,0,6,4,3,0,0,1,1,9,1,2,3,0,4,2,1,5,2,17,1,3,1,1,2,3,0,2,28,1,3,10,2,0,1,4,1,2,4,8,3,2,4,0,1,4,0,2,2,2,2,2,1,1,3,10,2,5,2,1,4,3,3,6,2,3,4,1,1,1,4,3,0,5,2,0,0,1,1,6,4,4,1,2,0,2,0,0,0,10,8,1,5,1,4,3,1,3,2,7,1,3,0,17,1,1,2,4,6,5,1,1,2,2,1,0,1,3,2,2,1,1,0,1,2,3,2,3,3,8,2,4,1,5,2,1,4,0,1,3,2,0,1,0,0,4,16,1,7,0,1,0,1,2,1,9,3,3,1,3,0,2,0,0,2,0,4,4,0,2,1,1,2,2,2,2,2,3,5,2,3,3,3,0,1,3,2,4,3,0,16,2,6,3,1,31,2,10,1,13,2,7,3,5,1,3,4,0,1,3,1,1,2,2,1,0,3,0,1,1,0,3,4,5,2,3,0,0,2,1,0,0,3,3,1,5,2,0,3,2,3,10,1,4,3,1,0,0,2,25,3,2,11,4,2,0,1,2,29,1,19,2,3,3,6,2,3,1,2,7,3,0,6,0,5,7,3,5,1,3,1,1,3,5,2,1,1,0,1,0,1,2,3,2,0,3,2,2,1,2,1,0,0,1,3,0,1,3,3,1,1,2,0,9,2,2,6,2,2,2,0,2,1,2,1,0,0,1,1,3,1,3,1,5,1,0,1,2,6,1,1,4,2,2,1,2,6,1,1,1,1,1,6,0,7,3,0,3,3,2,0,3,4,3,3,3,3,4,2,4,3,10,10,2,0,0,0,3,2,2,3,2,3,1,2,0,2,1,10,3,0,1,5,0,2,0,0,2,4,0,3,1,0,4,3,2,3,7,1,4,10,4,2,3,4,5,5,0,1,10,2,2,1,1,1,0,0,2,4,13,9,2,1,1,2,1,1,6,12,0,4,1,3,2,1,2,2,2,1,0,1,7,1,1,5,16,2,3,2,0,1,0,2,0,4,2,7,3,1,1,3,4,1,5,3,0,3,1,1,11,2,4,4,0,0,0,2,2,5,1,0,1,3,2,0,2,0,2,2,0,1,0,8,2,2,1,3,0,3,7,1,2,1,2,3,4,4,2,0,2,2,0,2,4,3,2,1,5,9,4,14,0,1,3,4,2,6,0,0,2,2,2,5,2,0,3,6,1,1,5,3,2,0,2,2,1,12,3,5,5,1,1,1,2,1,20,2,2,2,3,2,1,7,2,0,1,4,0,0,0,2,0,1,2,1,0,2,0,28,0,40,0,3,1,4,2,2,0,2,1,2,0,2,0,0,0,2,2,1,7,0,1,0,3,0,0,1,0,1,1,0,1,0,0,1,0),
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num=c(4,6,3,5,4,6,8,5,8,4,8,5,7,5,4,12,8,5,7,8,4,6,8,6,7,4,6,7,6,6,6,6,4,7,6,6,7,7,8,6,14,5,3,5,13,7,9,4,11,5,11,8,6,3,6,6,7,4,7,4,11,8,9,7,5,8,7,5,5,7,4,12,6,9,6,4,2,5,11,4,8,3,8,6,6,8,4,6,9,7,4,4,6,7,7,4,4,4,7,5,5,5,8,7,5,4,8,4,4,8,5,8,3,11,6,5,11,13,6,6,5,9,8,5,6,6,5,6,5,5,7,5,4,13,6,7,5,5,6,6,11,3,4,6,8,7,5,7,6,5,7,6,5,4,8,6,4,12,3,7,8,12,6,7,7,6,9,9,7,4,8,4,4,6,4,11,5,3,4,6,6,5,4,10,5,3,3,9,8,5,4,7,6,5,5,5,7,4,8,8,6,4,6,4,5,6,7,5,9,5,7,3,10,5,5,4,4,3,7,5,8,7,5,3,7,6,5,6,6,3,9,3,5,7,5,7,7,4,6,6,11,9,6,8,6,4,7,7,5,5,7,10,5,3,6,8,4,7,9,2,10,9,6,7,8,3,5,4,6,4,6,4,5,6,8,7,8,10,8,7,6,5,6,7,4,9,5,6,4,4,6,9,6,8,6,13,5,8,4,6,10,5,8,7,7,7,6,8,11,10,4,8,6,4,5,8,3,5,9,9,6,5,5,4,8,4,9,5,4,8,5,5,5,7,5,4,4,6,4,7,6,7,13,4,3,5,4,6,7,7,4,4,4,3,10,5,4,4,9,6,9,6,6,7,4,4,6,5,7,6,7,10,3,7,3,3,6,8,8,4,5,5,6,6,8,10,2,5,6,8,6,5,5,7,4,4,6,9,4,6,5,6,6,6,4,4,5,5,5,7,7,7,7,5,6,4,6,4,4,4,10,5,6,6,3,6,5,6,7,8,5,4,7,6,10,8,5,5,8,2,4,5,5,6,5,5,7,3,6,8,10,5,11,5,8,5,6,7,5,9,7,4,6,6,4,7,4,5,4,3,6,6,7,4,6,5,7,6,4,5,6,5,7,9,8,6,6,4,5,6,8,5,3,6,7,3,8,6,7,3,5,8,7,5,2,6,6,6,7,5,5,6,9,6,5,4,7,3,5,8,6,5,8,10,5,5,8,6,4,4,4,4,11,6,3,7,6,5,6,6,5,3,9,9,5,4,9,4,4,4,5,5,5,5,8,5,7,5,5,16,4,5,4,4,7,2,6,2,7,4,4,5,3,4,4,6,6,5,4,5,10,9,7,7,7,6,10,4,6,5,6,5,5,5,6,5,5,7,2,9,6,6,7,8,6,10,4,3,9,9,5,4,5,5,5,6,7,7,3,6,6,4,6,9,7,9,5,6,8,15,3,9,3,6,7,5,7,10,4,7,6,6,17,6,6,7,9,5,4,5,4,4,6,6,6,6,6,5,6,6,8,4,7,5,7,8,6,7,5,3,5,6,6,5,6,5,6,4,7,13,5,6,5,6,4,8,13,6,6,6,6,3,13,4,7,3,4,6,3,6,8,6,7,5,6,6,6,5,5,7,3,5,6,7,7,5,5,5,6,3,6,4,4,2,2,4,5,7,7,6,4,4,8,8,16,6,7,6,9,7,4,7,4,4,5,5,6,4,5,6,6,5,4,11,6,9,5,4,6,6,5,4,5,9,6,5,7,6,6,5,5,4,3,7,8,6,8,8,3,5,7,7,8,6,9,6,5,6,12,4,5,5,7,7,6,5,6,6,4,7,4,4,4,5,5,11,5,10,3,8,5,6,5,2,2,5,6,8,10,5,5,5,5,6,4,4,8,5,7,7,8,3,6,9,5,5,8,4,6,5,6,8,7,5,4,8,7,9,5,7,5,6,5,8,5,4,5,3,5,7,4,8,8,7,6,3,3,6,5,6,4,8,4,6,4,5,5,5,7,2,4,4,4,5,6,3,3,6,5,7,7,5,8,4,7,9,6,5,5,6,8,2,6,9,7,3,6,6,5,6,5,4,8,10,5,9,6,6,8,5,6,4,6,5,5,7,5,3,5,6,7,6,5,4,6,4,5,5,5,3,9,7,9,12,7,12,4,3,3,5,6,4,3,7,3,7,7,4,5,10,3,5,7,3,5,10,6,4,14,7,5,3,4,2,6,4,4,5,5,4,11,8,5,7,4,5,5,5,6,5,6,4,9,6,5,7,6,9,5,4,9,6,4,7,4,4,6,3,12,4,7,6,5,4,7,5,4,6,7,7,3,5,3,3,5,5,6,7,3,4),
adj=c(128,177,320,690,
44,114,521,644,759,874,
4,377,897,
3,377,832,897,914,
167,188,714,966,
71,549,600,710,718,729,
81,167,327,332,355,503,508,966,
65,554,751,789,895,
55,94,102,151,330,571,609,738,
108,376,379,845,
189,202,203,227,371,430,504,579,
164,167,380,565,714,
61,87,155,171,326,330,736,
15,83,353,793,806,
14,83,793,805,
61,105,128,267,275,279,690,725,726,736,1019,1021,
41,301,484,490,512,818,898,905,
412,590,785,787,848,
135,198,213,383,445,716,1001,
33,66,218,225,298,448,477,926,
23,560,639,643,
28,176,243,392,610,919,
21,560,639,643,647,756,758,804,
25,145,148,269,275,345,
24,32,145,275,314,345,621,
61,148,181,328,
116,485,487,828,957,969,
22,192,243,610,629,748,919,
84,241,355,413,702,788,
133,318,319,325,340,648,
240,247,618,644,755,759,
25,275,320,612,621,690,
20,66,310,477,
35,37,86,168,209,212,817,
34,86,209,212,401,449,
407,439,749,855,857,861,
34,168,209,414,446,598,754,
45,200,451,453,454,461,757,
76,101,158,160,174,624,626,1022,
78,226,430,444,584,754,
17,301,364,488,490,496,684,797,799,800,847,899,916,1027,
70,121,213,216,901,
901,904,943,
2,295,759,874,938,
38,97,254,453,454,455,568,689,730,742,744,996,1019,
467,478,551,667,715,722,936,
74,233,283,541,646,735,863,865,867,
163,403,638,752,
56,161,170,172,396,570,572,573,735,774,802,
67,372,543,548,790,
272,544,550,552,558,743,930,1001,1003,1004,1009,
171,179,279,343,502,564,686,968,
162,169,483,489,526,881,
909,910,1020,
9,102,160,331,738,750,
49,166,572,630,774,802,
242,259,594,597,1009,1014,1015,
241,605,606,608,
244,419,533,824,827,833,969,
153,423,509,712,
13,16,26,106,158,171,181,267,326,328,736,
112,421,509,676,696,712,713,935,
191,197,226,399,400,430,800,818,847,
219,412,416,435,466,786,989,
8,351,372,554,895,
20,33,225,310,315,477,856,860,
50,378,428,513,543,790,791,
762,1004,1009,1014,1015,
270,707,720,729,1011,
42,121,303,309,901,943,944,
6,604,710,718,
81,168,241,324,327,329,501,593,595,598,819,820,
221,366,408,447,625,903,
47,233,386,388,611,617,646,746,760,
77,119,208,411,576,581,
39,158,160,331,
75,581,
40,209,222,444,754,
232,271,592,600,603,663,682,683,710,841,981,
414,417,446,754,
7,72,167,246,355,501,503,593,
341,943,944,
14,15,353,354,793,803,806,900,
29,134,355,565,702,907,
183,356,457,471,803,900,
34,35,168,210,212,401,402,817,
13,158,326,330,
557,625,641,642,795,918,
90,180,530,569,685,687,783,806,810,
89,358,559,569,575,805,806,
92,114,560,916,
91,114,251,560,
100,293,679,681,937,939,
9,118,151,155,336,571,609,
176,243,313,385,392,437,919,
342,517,638,680,
45,568,880,1020,
148,181,269,706,
533,613,627,631,632,767,833,
93,293,633,939,940,
39,160,174,386,617,
9,55,609,750,941,
134,187,208,411,576,577,702,907,
284,666,681,684,939,940,1026,
16,269,275,706,726,
61,145,158,328,
112,360,369,482,687,688,783,886,
10,377,379,426,
268,821,846,960,
140,211,402,403,404,450,645,752,
262,285,310,851,871,
62,107,422,482,509,687,696,713,
316,502,737,
2,91,92,251,407,439,521,560,644,853,916,
124,125,185,517,638,819,
27,487,498,826,969,
147,153,369,421,423,497,688,693,816,839,902,
94,155,184,305,308,316,336,538,662,737,768,927,964,
75,374,484,576,581,905,
436,497,673,677,960,961,
42,70,213,309,891,
195,213,384,405,406,656,697,901,904,
132,149,162,520,533,627,764,766,
115,125,185,349,965,
115,124,168,329,819,965,
428,519,791,835,837,896,
152,176,391,393,398,
1,16,177,320,690,1019,
188,373,604,717,894,
150,294,334,343,923,
325,341,350,654,732,734,943,
123,162,585,636,764,
30,319,648,735,
84,103,154,164,182,187,208,357,359,484,565,576,907,
19,383,998,1001,1002,1008,
585,615,618,620,623,634,811,
139,184,343,709,719,
296,332,507,508,967,
137,184,262,343,542,709,
110,404,450,641,645,918,
320,398,455,612,621,624,655,689,740,773,794,
371,374,905,
421,466,676,868,
370,547,553,789,883,887,
24,25,106,148,158,314,328,624,
235,255,268,842,843,846,960,
117,497,536,693,839,
24,26,98,145,181,269,328,
123,162,520,533,540,896,
130,333,334,343,494,
9,94,336,339,609,768,769,
127,393,398,731,794,1025,
60,117,421,423,712,
134,156,357,567,
13,94,118,171,316,330,571,737,
154,359,368,546,567,691,
361,559,569,687,
39,61,76,87,106,145,159,326,330,331,624,738,
158,330,738,
39,55,76,101,331,386,750,
49,172,173,361,562,570,723,735,
53,123,132,149,489,499,520,533,540,635,636,881,
48,185,211,349,638,752,
12,134,359,365,565,714,889,
169,178,483,491,531,534,837,
56,458,468,607,630,774,
5,7,12,81,355,380,503,714,966,
34,37,72,86,125,329,598,817,965,
53,165,418,483,489,491,643,
49,361,396,572,
13,52,61,155,179,564,736,737,
49,161,173,735,
161,172,562,735,
39,101,386,388,617,626,
296,321,819,981,
22,95,127,385,391,392,393,610,747,908,1025,
1,128,320,563,1019,
165,491,534,
52,171,502,737,
89,360,523,700,783,810,
26,61,98,148,267,706,
134,186,357,359,567,
85,356,810,900,
118,137,139,262,316,538,659,664,709,964,
115,124,163,349,638,
182,359,567,
103,134,907,
5,129,368,604,691,714,717,889,966,
11,203,205,227,374,581,606,754,
199,257,263,580,775,
63,430,504,818,
28,196,433,629,748,850,919,
201,207,319,432,734,904,
207,384,405,697,904,
122,213,239,656,716,
192,427,433,435,850,
63,221,222,394,399,400,800,
19,445,545,1001,
190,256,263,280,580,776,778,997,
38,397,410,429,461,739,741,757,
193,207,390,432,670,728,
11,203,579,584,
11,189,202,205,227,584,
721,828,957,995,
189,203,584,606,754,
411,413,578,581,605,788,
193,194,201,384,390,395,904,
75,103,134,411,576,
34,35,37,78,220,222,444,449,754,
86,211,349,402,817,
110,163,210,349,402,450,752,
34,35,86,
19,42,121,122,195,216,406,445,716,891,
456,457,471,472,481,
302,338,514,769,944,
42,213,406,901,
225,309,315,859,
20,298,926,
64,290,435,464,466,469,862,
209,221,222,447,449,
73,197,220,222,366,394,447,800,
78,197,209,220,221,400,444,
356,457,481,523,810,
260,277,949,
20,66,217,298,309,315,448,
40,63,399,400,430,444,
11,189,203,371,374,
834,948,950,956,958,971,
234,527,532,815,827,869,
453,461,892,
256,438,528,640,842,956,971,982,988,
79,271,710,
47,74,385,611,863,
229,253,289,527,535,827,876,
146,442,842,945,960,
587,591,653,658,972,984,991,
250,382,658,742,745,991,994,
529,539,698,921,
195,381,383,656,716,998,
31,295,323,618,623,759,
29,58,72,246,355,413,593,595,605,606,608,
57,259,597,781,807,973,1007,1009,1018,
22,28,95,392,437,919,
59,335,362,419,613,824,829,833,
278,798,808,813,975,1007,
81,241,355,593,
31,618,620,755,756,758,804,
265,271,346,603,604,822,966,
281,284,667,934,936,
237,363,382,658,984,
92,114,287,560,644,753,755,
257,280,363,389,453,580,653,775,879,984,
234,443,535,872,876,
45,730,742,
146,525,640,842,843,962,
199,231,263,601,785,982,988,997,
190,252,580,775,
587,588,602,660,834,946,987,
57,242,261,781,801,983,1009,1013,1029,
224,277,
259,274,550,558,743,983,1000,1006,1009,1016,
111,139,184,276,285,310,542,659,925,
190,199,256,599,601,775,
772,780,784,785,786,986,989,
248,296,346,603,683,822,841,967,
707,718,720,
16,61,181,706,726,
109,146,846,960,
24,98,105,148,275,706,
69,596,680,1011,
79,232,248,603,604,710,
51,930,999,1001,
525,823,848,962,963,
261,298,544,926,974,1000,
16,24,25,32,105,269,345,690,
262,285,477,542,851,871,926,
224,260,436,462,671,949,951,954,
245,552,796,798,975,980,998,1002,1003,1004,
16,52,294,564,686,711,724,736,
199,252,389,580,583,776,879,
249,293,633,679,934,936,
286,460,464,469,862,
47,458,541,863,865,867,
104,249,666,667,679,934,1026,
111,262,276,871,
282,460,464,566,661,713,868,878,935,
251,560,622,753,756,
424,485,515,830,920,993,
234,527,872,876,
219,311,435,862,
586,675,678,870,872,946,
511,527,589,827,830,869,870,873,990,
93,100,281,633,679,937,
130,279,334,493,686,711,724,923,
44,240,323,759,764,938,
138,175,265,321,324,327,332,682,819,820,841,967,981,
539,698,921,922,924,
20,218,225,274,309,448,544,926,
302,308,514,927,
304,306,705,928,929,931,
17,41,512,684,692,704,705,727,929,931,
215,299,308,514,944,
70,308,309,440,441,854,860,944,
300,306,467,474,478,715,931,
118,308,659,662,664,854,925,
300,304,522,704,705,715,1030,
311,427,431,435,862,864,
118,299,302,303,305,854,927,944,
70,121,217,225,298,303,441,544,859,891,930,
33,66,111,262,477,659,851,854,856,925,
290,307,435,862,
313,433,437,475,630,863,919,933,
95,312,385,437,475,863,
25,145,621,624,
66,217,225,859,860,
113,118,155,184,502,709,719,737,
560,622,756,
30,319,325,340,734,
30,133,193,318,432,637,728,734,735,
1,32,128,141,177,563,612,689,690,
175,296,322,342,819,981,
321,342,517,819,981,
240,295,585,623,764,
72,296,327,820,
30,131,318,340,348,650,732,734,
13,61,87,158,
7,72,296,324,332,500,501,503,820,
26,61,106,145,148,
72,125,168,819,
9,13,87,155,158,159,571,738,
55,76,158,160,738,
7,138,296,327,508,
150,334,343,344,494,
130,150,294,333,493,494,686,
244,362,613,767,829,
94,118,151,768,
609,616,770,941,
215,339,609,616,769,944,
151,338,609,769,
30,318,325,347,348,646,648,
82,131,350,734,943,944,
96,321,322,517,674,680,981,
52,130,137,139,150,333,344,494,502,686,719,923,968,
333,343,494,686,
24,25,275,
248,265,507,822,966,
340,348,646,760,
325,340,347,650,760,970,
124,163,185,210,211,817,965,
131,341,649,654,770,941,944,
65,372,895,1028,
379,426,506,906,
14,83,354,806,
83,353,806,
7,29,81,84,167,241,246,380,503,565,
85,183,223,457,810,
134,154,182,567,
90,575,793,805,
134,156,164,182,186,365,565,567,691,
107,180,688,695,700,783,
157,161,170,396,559,570,572,630,687,
244,335,824,829,882,888,
250,252,382,453,730,984,
41,394,561,795,797,799,903,
164,359,691,889,
73,221,394,903,
486,487,498,792,826,885,
156,188,546,691,717,
107,117,423,482,688,693,902,
144,789,883,910,915,1020,
11,142,227,374,504,818,905,
50,65,351,378,548,554,555,790,890,1028,
129,604,894,
119,142,189,227,371,581,905,
376,379,845,
10,375,845,
3,4,108,426,844,897,
67,372,428,480,495,554,751,790,
10,108,352,375,426,506,845,906,
12,167,355,565,
239,383,395,656,998,
237,250,363,730,742,
19,135,239,381,716,998,
122,194,207,395,405,656,
95,176,233,313,392,611,747,863,
74,101,160,174,387,617,750,760,941,970,
386,617,
74,174,617,626,746,
252,280,453,473,733,879,
201,207,628,637,651,670,694,728,
127,176,398,626,747,1022,
22,95,176,243,385,
127,152,176,398,1025,
197,221,364,366,799,800,903,
207,381,384,656,
49,170,361,570,
200,429,739,741,763,831,
127,141,152,391,393,624,773,794,1022,
63,197,226,400,
63,197,222,226,399,444,
35,86,402,449,450,
86,110,210,211,401,450,
48,110,404,638,643,752,
110,140,403,642,643,918,
122,194,384,697,
122,213,216,901,
36,114,439,853,855,
73,447,625,641,645,
472,481,523,672,703,
200,461,473,476,733,739,741,
75,103,206,208,577,578,581,
18,64,416,421,466,787,848,
29,206,241,578,581,605,788,
37,80,417,446,598,
459,460,630,866,878,884,
64,412,787,989,
80,414,595,598,606,754,
169,489,499,643,
59,244,824,833,
840,914,917,1024,
62,117,143,153,412,466,676,712,816,848,
112,510,661,687,713,
60,117,153,369,482,509,
288,657,665,830,990,993,
463,513,543,
108,352,377,379,506,844,
196,307,431,433,435,
67,126,378,480,519,791,
200,397,451,629,757,831,850,
11,40,63,191,226,504,579,584,
307,427,433,864,933,
193,201,319,728,
192,196,312,427,431,919,933,
528,834,838,945,946,956,
64,196,219,290,307,311,427,786,831,850,
120,277,497,671,673,693,953,954,
95,243,312,313,919,
231,950,958,971,982,
36,114,407,479,521,749,849,852,
303,854,
303,309,859,860,
235,443,945,946,960,
253,442,872,946,960,
40,78,209,222,226,400,
19,198,213,545,891,
37,80,414,598,754,
73,220,221,408,449,450,645,
20,225,298,
35,209,220,401,447,450,
110,140,211,401,402,447,449,645,
38,429,454,455,465,614,629,740,757,850,
456,470,472,672,947,
38,45,230,252,363,389,461,473,730,892,984,
38,45,451,455,757,
45,141,451,454,465,655,689,740,
214,452,470,471,472,
85,214,223,356,471,481,
166,283,468,541,607,735,865,
415,460,630,864,866,
282,286,415,459,661,862,864,866,878,
38,200,230,410,453,476,892,
277,669,951,952,
425,513,543,885,969,976,
219,282,286,466,469,868,
451,455,614,740,
64,143,219,412,421,464,868,
46,304,478,715,
166,458,475,630,865,
219,282,464,862,
452,456,471,
85,214,456,457,470,803,
214,409,452,456,481,672,
389,410,453,476,733,879,892,
304,478,666,931,
312,313,468,630,863,865,
410,461,473,733,892,
20,33,66,276,310,851,926,
46,304,467,474,666,667,
439,749,814,849,
378,428,495,519,836,
214,223,409,457,472,523,
107,112,369,423,509,
53,165,169,526,531,837,896,
17,119,134,512,551,576,701,905,1023,
27,288,492,828,920,969,993,995,
367,487,555,792,893,957,
27,116,367,486,826,957,
41,490,496,1027,
53,162,169,418,499,
17,41,488,898,899,1027,
165,169,178,495,534,643,789,992,
485,825,920,959,969,
294,334,686,
150,333,334,343,344,686,
378,480,491,534,751,836,992,
41,488,1027,
117,120,147,436,536,693,821,960,
116,367,826,885,969,976,
162,418,489,635,643,647,652,
327,501,503,
72,81,327,500,503,
52,113,179,316,343,719,737,968,
7,81,167,327,355,500,501,
11,191,371,430,818,
897,914,
352,379,426,844,906,914,
138,346,508,822,966,967,
7,138,332,507,966,967,
60,62,112,423,482,696,712,
422,630,661,687,884,
292,827,830,932,969,
17,301,484,522,701,704,
67,425,463,520,533,543,791,835,969,
215,299,302,768,769,927,
288,830,920,932,959,
853,855,857,916,
96,115,322,342,638,680,819,
669,677,961,
126,428,480,836,837,
123,149,162,513,533,540,835,896,
2,114,439,852,874,875,
306,512,701,704,1030,
180,223,409,481,695,700,703,810,
537,632,764,852,874,875,877,888,912,938,
255,273,843,962,963,
53,483,540,881,896,
229,234,289,292,532,870,872,873,
231,434,838,842,945,956,
238,539,698,921,
89,569,685,687,
165,483,837,896,
229,527,869,873,
59,99,123,149,162,513,520,627,766,833,969,
165,178,491,495,836,837,
234,253,876,
147,497,821,839,843,846,963,
524,824,858,882,888,912,
118,184,662,664,964,
238,297,529,921,923,924,
149,162,520,526,881,896,
47,283,458,735,867,
139,262,276,
50,67,425,463,513,548,555,792,885,
51,274,298,309,558,926,930,974,1000,
198,445,891,999,1001,
156,368,717,894,
144,553,883,887,895,911,913,915,1028,
50,372,543,555,
6,574,600,729,
51,261,743,1009,
46,484,701,722,1023,
51,278,1001,1002,1003,
144,547,789,887,895,
8,65,372,378,751,
372,486,543,548,792,890,893,1028,
582,890,893,942,1017,
88,560,561,642,643,795,797,
51,261,544,743,1000,
90,157,361,569,805,
21,23,91,92,114,251,287,317,557,622,639,642,643,756,797,916,
364,557,795,797,
161,173,637,723,735,
177,320,689,1019,
52,171,279,736,
12,84,134,164,355,359,380,
286,935,
154,156,182,186,357,359,
45,97,
89,90,157,530,559,687,806,
49,161,361,396,
9,94,155,330,
49,56,170,361,630,
49,774,802,
549,600,729,1011,
90,358,793,806,
75,103,119,134,208,484,
103,411,578,702,788,907,
206,411,413,577,788,
11,202,430,584,
190,199,252,257,280,
75,77,119,189,206,374,411,413,605,606,
556,591,660,721,893,942,991,993,994,
280,733,739,776,777,778,879,
40,202,203,205,430,579,754,
132,136,323,623,634,636,764,
291,657,665,675,946,987,
236,258,588,591,601,653,775,834,972,982,
258,587,591,660,
292,657,675,678,870,990,
18,640,785,848,988,
236,582,587,588,660,991,
79,600,663,708,981,
72,81,241,246,595,
57,597,798,813,1015,
72,241,417,593,598,606,
270,600,680,708,1011,
57,242,594,813,1007,
37,72,168,414,417,446,595,
263,601,
6,79,549,574,592,596,708,710,1011,
256,263,587,599,775,982,
258,660,665,946,987,993,
79,248,265,271,682,683,841,
71,129,188,248,271,373,710,966,
58,206,241,413,581,606,
58,189,205,241,417,581,595,605,608,754,
166,458,735,774,
58,241,606,
9,94,102,151,337,338,339,616,941,
22,28,176,614,629,655,740,748,908,
74,233,385,746,747,
32,141,320,621,
99,244,335,767,833,
451,465,610,629,740,
136,634,635,647,811,
337,338,609,649,770,944,
74,101,174,386,387,388,626,
31,136,240,247,620,623,811,
628,651,694,
136,247,618,647,804,811,
25,32,141,314,612,624,
287,317,560,756,
136,240,323,585,618,634,
39,141,145,158,314,398,621,626,1022,
73,88,408,641,795,903,918,
39,174,388,391,617,624,746,747,1022,
99,123,533,632,766,
390,619,637,651,694,723,
28,192,429,451,610,614,748,850,
56,166,312,361,415,459,468,475,510,572,661,687,864,884,933,
99,632,767,
99,524,627,631,764,766,767,829,877,
100,281,293,
136,585,615,623,635,636,
162,499,615,634,636,647,652,
132,162,585,634,635,
319,390,562,628,723,728,735,
48,96,115,163,185,403,517,643,680,789,
21,23,560,643,
231,255,590,842,848,962,988,
88,140,408,625,645,918,
88,404,557,560,643,918,
21,23,169,403,404,418,491,499,557,560,638,639,642,647,652,680,789,
2,31,114,251,755,759,
110,140,408,447,450,641,
47,74,340,347,648,735,760,
23,499,615,620,635,643,652,804,811,
30,133,340,646,735,
350,616,770,944,
325,348,654,732,970,
390,619,628,694,
499,635,643,647,
236,252,587,775,972,984,
131,350,650,732,941,970,
141,455,610,740,794,908,
122,195,239,381,384,395,
424,586,589,665,675,990,
236,237,250,984,991,
184,262,305,310,664,925,
258,582,588,591,602,993,
286,422,460,510,630,713,878,884,
118,305,538,664,
79,592,680,708,977,981,1005,
184,305,538,659,662,
424,586,602,657,675,987,993,
104,284,474,478,667,684,727,931,
46,249,284,478,666,936,
669,673,677,951,952,954,955,
462,518,668,677,952,
201,390,728,
277,436,693,809,949,
409,452,472,693,703,947,
120,436,668,677,953,954,
342,680,977,981,1005,
291,586,589,657,665,678,
62,143,421,868,935,
120,518,668,669,673,961,
291,589,675,870,
93,281,284,293,934,937,1026,
96,270,342,517,596,638,643,663,674,708,789,1005,1020,
93,104,937,939,1026,
79,296,603,683,841,981,
79,265,603,682,841,
41,104,301,666,692,727,
89,530,687,783,
52,279,294,334,343,344,493,494,
89,107,112,157,361,422,510,530,569,630,685,783,886,
107,117,360,369,693,695,
45,141,320,455,563,1019,
1,16,32,128,275,320,
156,188,359,365,368,889,
301,684,727,
117,147,369,436,497,671,672,688,695,699,703,809,947,
390,619,628,651,
360,523,688,693,699,700,703,
62,112,509,
122,194,405,904,
238,297,529,921,922,924,
693,695,703,
180,360,523,695,703,783,
484,512,522,551,715,722,1023,1030,
29,84,103,577,788,907,
409,523,672,693,695,699,700,
301,306,512,522,705,
300,301,306,704,928,929,
98,105,181,267,269,726,
69,266,718,720,729,1011,
592,596,600,663,680,
137,139,184,316,719,
6,71,79,232,271,600,604,
279,294,923,
60,62,153,421,509,
62,112,286,422,661,935,
5,12,164,167,188,889,966,
46,304,306,467,701,722,1030,
19,195,213,239,383,
129,188,368,546,894,
6,71,266,707,729,
137,316,343,502,709,968,
69,266,707,
204,582,893,957,993,995,
46,551,701,715,
161,562,628,637,
279,294,
16,1021,
16,105,267,706,
301,666,684,692,931,
201,319,390,432,637,670,735,
6,69,549,574,707,718,1011,
45,254,363,382,453,742,
152,794,908,1025,
131,325,650,654,
389,410,473,476,583,739,777,879,
131,193,318,319,325,341,904,943,
47,49,133,161,172,173,319,458,541,562,607,637,646,648,728,774,
13,16,61,171,279,564,
113,118,155,171,179,316,502,
9,55,158,159,330,331,
200,397,410,583,733,741,763,765,777,
141,451,455,465,610,614,655,
200,397,410,739,
45,237,254,382,730,744,745,
51,261,550,558,
45,742,745,996,
237,742,744,994,996,
74,388,611,626,747,
176,385,391,611,626,746,
28,192,610,629,
36,439,479,814,861,
55,102,160,386,941,970,
8,378,495,554,789,992,
48,110,163,211,403,
251,287,755,756,
37,40,78,80,189,205,209,417,446,584,606,
31,247,251,644,753,756,
23,247,287,317,560,622,753,755,758,
38,200,429,451,454,
23,247,756,804,
2,31,44,240,295,644,
74,347,348,386,646,970,
763,765,782,784,831,
68,796,1004,1015,
397,739,761,765,831,
123,132,295,323,524,585,632,766,938,
739,761,763,777,779,782,
123,533,627,632,764,
99,335,613,631,632,829,877,
118,151,336,514,769,927,
151,215,338,339,514,768,
337,350,616,649,941,
781,807,808,812,1018,
264,780,785,997,
141,398,794,
49,56,166,573,607,735,802,
190,252,257,263,587,601,653,982,
199,280,583,777,778,879,
583,733,739,765,776,778,779,782,
199,583,776,777,780,782,986,997,
765,777,782,
264,772,778,986,997,
242,259,771,812,979,1018,1029,
761,765,777,778,779,784,986,
89,107,180,360,685,687,700,886,
264,761,782,786,831,986,
18,256,264,590,772,787,988,989,997,
64,264,435,784,831,989,
18,412,416,785,989,
29,206,413,577,578,702,
8,144,370,491,553,638,643,680,751,895,992,1020,
50,67,372,378,
67,126,428,513,835,
367,486,543,555,885,
14,15,83,358,575,805,806,
141,152,398,655,731,773,908,
88,364,557,561,625,903,
278,762,798,1004,1015,
41,364,557,560,561,916,
245,278,594,796,813,1015,
41,364,394,800,
41,63,197,221,394,799,847,
259,983,1012,1013,
49,56,573,774,
83,85,471,900,
23,247,620,647,758,
15,90,358,559,793,
14,83,89,90,353,354,569,575,793,810,900,
242,771,808,973,1018,
245,771,807,812,973,975,978,979,1007,1018,
671,693,947,
89,180,183,223,356,523,806,900,
136,615,618,620,647,
771,781,808,978,979,1018,
245,594,597,798,1007,
479,749,
229,827,
117,421,823,839,848,
34,86,168,210,349,965,
17,63,191,371,504,847,898,905,
72,115,125,175,296,321,322,329,517,820,
72,296,324,327,819,
109,497,536,846,960,
248,265,346,507,967,
273,816,839,848,963,
59,244,362,419,537,882,
492,932,959,969,
116,367,487,498,
59,229,234,292,511,815,869,969,
27,204,485,957,995,
244,335,362,632,767,877,888,
288,292,424,511,515,932,990,
397,429,435,761,763,784,786,850,
4,914,917,
59,99,244,419,533,613,
228,258,434,587,946,948,950,956,982,
126,513,520,791,896,
480,495,519,534,837,
126,165,483,519,531,534,836,896,
434,528,945,946,
117,147,536,816,823,963,
420,849,914,917,1024,
79,265,296,603,682,683,
146,231,235,255,528,640,843,945,
146,255,525,536,842,846,963,
377,426,506,897,914,
10,375,376,379,
109,146,268,536,821,843,960,963,
41,63,800,818,898,899,1027,
18,273,412,421,590,640,816,823,962,
439,479,840,914,917,
192,196,429,435,451,629,831,
111,276,310,477,871,
439,521,524,858,875,912,
114,407,516,855,916,
303,305,308,310,440,856,860,925,
36,407,516,853,857,
66,310,854,860,
36,516,855,861,916,
537,852,912,
217,309,315,441,860,
66,303,315,441,854,856,859,
36,749,857,916,
219,282,290,307,311,460,469,864,
47,233,283,312,313,385,475,865,
307,431,459,460,630,862,933,
47,283,458,468,475,863,
415,459,460,
47,283,541,
143,286,464,466,676,935,
229,292,532,827,873,
291,292,527,589,678,872,
111,276,285,851,
253,289,291,443,527,870,876,946,
292,527,532,869,
2,44,521,524,875,938,
521,524,852,874,
234,253,289,535,872,
524,632,767,829,888,
286,415,460,661,884,
252,280,389,473,583,733,776,
97,1020,
53,162,526,540,
362,537,824,888,
144,370,547,915,
415,510,630,661,878,
367,463,498,543,792,976,
107,687,783,
144,547,553,
362,524,537,829,877,882,
164,188,365,691,714,
372,555,556,893,913,1017,1028,
121,213,309,445,545,930,999,
230,453,461,473,476,
486,555,556,582,721,890,942,957,
129,373,546,717,
8,65,351,547,553,789,1028,
126,149,483,520,526,531,540,835,837,
3,4,377,505,844,914,
17,490,818,847,899,
41,490,847,898,1027,
83,85,183,803,806,810,
42,43,70,122,216,406,904,943,
117,369,
73,364,366,394,625,795,
43,122,193,194,207,697,734,901,943,
17,119,142,371,374,484,818,
352,379,506,
84,103,134,187,577,702,
176,610,655,731,794,1025,
54,910,911,913,996,
54,370,909,911,915,1020,
547,909,910,913,915,
524,537,852,858,
547,890,909,911,942,996,1017,1028,
4,420,505,506,832,840,844,849,897,917,
370,547,883,910,911,
41,91,114,516,560,797,853,857,861,
420,832,840,849,914,1024,
88,140,404,625,641,642,
22,28,95,192,243,312,433,437,
288,485,492,515,959,
238,297,529,539,698,922,
297,698,921,924,
130,294,343,539,711,924,
297,539,698,922,923,
262,305,310,659,854,
20,218,274,276,298,477,544,
118,299,308,514,768,
300,705,929,
300,301,705,928,931,
51,272,309,544,891,999,
300,301,304,474,666,727,929,
511,515,825,830,959,969,
312,431,433,630,864,
249,281,284,679,
62,286,566,676,713,868,
46,249,281,667,
93,293,679,681,1026,
44,295,524,764,874,
93,100,104,681,940,
100,104,939,
102,337,350,386,609,654,750,770,970,
556,582,893,913,994,996,1017,
43,70,82,131,341,734,901,904,944,
70,82,215,302,303,308,338,341,350,616,649,943,
235,434,442,528,838,842,946,
258,291,434,442,443,586,602,834,838,872,945,987,
452,672,693,809,
228,834,956,
224,277,671,
228,438,834,958,982,
277,462,668,952,954,955,
462,668,669,951,
436,673,954,
277,436,668,673,951,953,955,
668,951,954,
228,231,434,528,834,948,971,
27,204,486,487,721,828,893,
228,438,950,971,
492,515,825,920,932,
109,120,146,235,268,442,443,497,821,846,
120,518,677,
255,273,525,640,848,
273,525,536,823,839,843,846,
118,184,538,
124,125,168,349,817,
5,7,167,188,248,346,507,508,604,714,
138,265,296,507,508,822,
52,343,502,719,
27,59,116,463,485,492,498,511,513,533,825,827,932,976,
348,386,650,654,750,760,941,
228,231,438,956,958,
236,587,653,
242,807,808,1007,
274,544,
245,278,808,978,980,985,
463,498,885,969,
663,674,981,1005,
808,812,975,979,985,
781,808,812,978,1029,
278,975,985,998,
79,175,296,321,322,342,592,663,674,682,977,
231,256,438,587,601,775,834,950,
259,261,801,1006,1012,
236,250,252,363,453,653,658,
975,978,980,998,
264,778,780,782,784,
258,586,602,665,946,
231,256,590,640,785,
64,264,416,785,786,787,
292,424,589,657,830,
236,237,582,591,658,994,
491,495,751,789,
288,424,485,582,602,660,665,721,995,
237,582,745,942,991,996,
204,485,721,828,993,
45,744,745,909,913,942,994,
199,256,772,778,780,785,
135,239,278,381,383,980,985,1002,1008,
272,545,891,930,1001,
261,274,544,558,
19,51,135,198,272,545,552,999,1002,
135,278,552,998,1001,1008,
51,278,552,1004,
51,68,278,762,796,1003,1009,
663,674,680,977,
261,983,1012,1016,
242,245,597,808,813,973,
135,998,1002,
51,57,68,242,259,261,550,1004,1010,1013,1014,1016,
1009,1012,1013,1016,
69,270,574,596,600,707,729,
801,983,1006,1010,1013,1016,
259,801,1009,1010,1012,
57,68,1009,1015,
57,68,594,762,796,798,1014,
261,1006,1009,1010,1012,
556,890,913,942,
242,771,781,807,808,812,
16,45,128,177,563,689,1021,
54,97,370,680,789,880,910,
16,725,1019,
39,391,398,624,626,
484,551,701,
420,840,917,
152,176,393,731,908,
104,284,679,681,937,
41,488,490,496,847,899,
351,372,547,555,890,895,913,
259,781,979,
306,522,701,715),
SumNumNeigh=6146)