2,5,6,8,16,17,23,61,76,112,118,144,335],[1,2,5,8,16,17,29,76,139,336],[1,3,6,
12,14,15,21,28,68,96,124,138,337],[1,2,4,10,11,16,81,82,119,338],[1,2,5,8,16,
17,76,136,339],[1,2,5,10,16,17,75,80,81,117,121,340],[1,3,6,12,13,15,21,63,70,
90,110,128,341],[1,3,12,13,15,70,105,120,342],[1,2,5,10,16,17,75,136,343],[1,
2,6,8,10,23,46,109,119,344],[1,2,4,6,10,11,23,78,82,109,345],[1,2,4,6,10,11,
23,53,109,119,346],[1,3,12,14,15,68,140,347],[1,2,3,4,9,10,11,18,24,53,54,57,
65,79,82,348],[1,2,6,10,23,47,78,109,349],[1,2,5,10,17,47,80,119,350],[1,2,6,
10,16,23,67,74,81,351],[1,2,5,6,10,17,23,67,74,80,352],[1,2,6,10,23,47,67,109,
353],[1,2,10,16,47,81,119,354],[1,3,4,6,12,14,15,18,22,28,59,68,103,104,141,
355],[1,2,4,6,10,11,23,53,109,119,356],[1,2,5,6,8,10,16,17,23,46,72,76,91,112,
116,123,357],[1,3,6,12,14,15,22,28,68,103,134,138,358],[1,2,4,6,10,11,23,67,
82,109,359],[1,3,5,6,15,19,28,105,122,134,360],[1,3,4,5,6,14,18,19,20,21,22,
30,31,69,93,104,132,135,137,143,361],[1,3,4,5,6,14,18,19,20,22,87,89,93,111,
126,129,131,362],[1,3,4,5,6,13,18,19,20,22,26,31,86,92,100,108,126,129,133,
363],[1,3,6,15,28,63,120,124,364],[1,3,4,5,6,13,18,19,20,22,27,31,84,92,95,
106,129,131,133,365],[1,3,6,14,28,43,138,140,366],[1,3,6,15,20,28,105,107,134,
367],[1,3,4,5,6,13,18,19,20,22,87,95,100,101,126,129,131,368],[1,3,6,12,13,15,
21,27,28,73,88,90,94,96,110,128,369],[1,2,3,4,5,6,8,9,11,16,17,23,28,31,48,
112,113,114,116,130,142,370],[1,3,5,6,12,14,19,20,21,22,28,30,89,98,102,103,
127,132,135,371],[1,3,4,5,6,14,18,19,20,22,27,31,84,89,102,104,129,131,133,
372],[1,3,4,5,6,14,18,19,20,22,26,31,86,93,102,115,126,129,133,373],[1,3,4,5,
6,13,15,18,19,21,22,30,31,90,92,108,122,135,137,141,374],[1,3,4,5,6,13,18,19,
20,21,22,30,31,73,100,106,132,135,137,143,375],[1,3,6,15,21,28,110,120,124,
376],[1,3,4,5,6,14,15,18,19,21,22,30,31,97,102,115,122,135,137,141,377],[1,3,
4,6,14,15,18,20,21,22,89,97,107,111,132,141,143,378],[1,2,5,6,8,16,17,23,27,
30,72,85,99,112,116,118,144,379],[1,3,4,5,6,13,18,19,20,22,24,31,83,101,106,
108,126,131,133,380],[1,3,6,15,21,28,105,110,124,381],[1,2,5,6,17,23,25,29,30,
58,99,139,145,382],[1,2,5,17,25,26,29,58,60,139,146,383],[1,2,5,16,17,26,29,
60,121,139,384],[1,3,4,5,6,14,18,19,20,22,24,31,83,104,111,115,126,131,133,
385],[1,2,5,16,17,61,117,136,386],[1,3,4,5,6,12,13,18,19,20,21,31,59,94,101,
108,127,137,143,387],[1,2,3,4,5,6,9,10,11,16,17,23,28,31,79,91,113,114,123,
130,142,388],[1,3,6,15,20,28,107,120,134,389],[1,3,5,6,15,19,28,120,122,134,
390],[1,3,6,14,21,28,69,138,140,391],[1,2,6,16,23,62,118,136,392],[1,2,16,61,
62,136,393],[1,3,6,15,28,63,105,124,394],[1,3,4,5,6,12,14,18,19,20,21,31,59,
98,111,115,127,137,143,395],[1,2,5,6,16,17,23,29,30,99,121,139,396],[1,3,4,6,
13,15,18,20,21,22,90,95,101,107,132,141,143,397],[1,3,6,13,14,28,52,138,140,
398],[1,2,5,6,10,16,17,23,27,30,74,85,91,99,118,123,144,399],[1,3,5,6,12,13,
19,20,21,22,28,30,92,94,95,103,127,132,135,400],[1,3,6,12,14,15,21,27,28,69,
88,96,97,98,110,128,401],[1,3,6,14,21,28,69,138,140,402],[1,2,5,6,16,17,23,
117,118,136,403],[1,7,39,404],[1,3,6,7,12,14,21,33,98,147,405],[1,3,6,7,12,13,
21,34,94,147,406],[1,2,7,10,32,47,407],[1,2,3,7,9,12,32,41,147,408],[1,2,7,10,
32,40,409],[1,2,4,7,11,24,32,57,148,410],[1,3,4,7,12,18,38,59,147,411],[1,3,5,
7,12,19,20,35,127,147,412],[1,2,5,7,17,26,32,60,150,413],[1,2,7,16,32,62,
414],[1,3,7,12,37,42,147,415],[1,2,5,7,17,25,32,58,149,416],[1,2,7,16,32,61,
417],[1,3,7,14,37,43,418],[1,3,6,7,12,15,21,36,128,147,419],[1,3,7,15,37,63,
420],[1,3,7,20,37,87,421],[1,5,7,25,26,29,35,146,149,422],[1,5,7,25,26,29,35,
146,150,423],[1,3,6,7,22,27,37,84,153,424],[1,2,5,6,7,8,17,23,32,35,36,116,
152,156,158,425],[1,2,6,7,8,16,23,32,33,34,112,154,157,158,426],[1,3,4,7,18,
24,37,83,148,427],[1,2,6,7,23,27,32,85,153,428],[1,2,3,5,7,9,16,17,32,35,37,
113,151,156,157,429],[1,5,6,7,25,29,30,36,145,149,430],[1,4,7,24,38,64,148,
431],[1,3,6,7,21,27,37,88,153,432],[1,3,5,7,19,26,37,86,150,433],[1,2,4,5,6,7,
11,17,23,31,32,33,34,35,38,130,154,155,156,159,160,434],[1,2,3,4,7,8,9,11,32,
37,38,48,151,155,158,435],[1,2,4,6,7,11,16,23,32,36,38,142,152,155,157,436],[
1,2,3,6,7,9,23,28,32,33,34,36,37,114,151,152,154,161,162,437],[1,2,3,4,8,9,10,
11,45,46,47,48,53,66,167,186,187,201,438],[1,2,3,4,8,9,10,11,12,18,41,42,44,
45,48,54,59,79,164,166,168,199,210,439],[1,2,3,9,10,45,47,67,167,191,440],[1,
2,3,4,8,9,10,11,12,18,41,44,45,47,54,65,66,79,82,166,167,177,210,213,222,233,
441],[1,2,3,4,9,10,11,40,45,47,53,65,79,82,167,183,194,222,269,442],[1,2,3,6,
8,9,10,12,21,22,23,28,41,44,45,72,74,77,96,103,109,114,166,202,207,216,275,
278,443],[1,2,3,5,8,9,10,12,16,17,19,41,44,45,50,51,75,76,80,81,113,166,176,
178,193,212,231,242,444],[1,2,3,8,9,10,12,13,14,15,41,44,45,49,56,68,70,166,
175,179,206,208,445],[1,2,3,9,10,13,14,16,45,47,51,56,81,167,175,176,285,
446],[1,2,3,4,5,9,10,11,13,14,17,18,19,45,50,54,56,80,82,108,115,175,177,178,
260,447],[1,2,3,8,9,10,12,20,41,44,45,71,166,198,204,209,448],[1,2,3,4,8,9,10,
11,12,18,40,41,44,45,46,48,53,54,55,65,66,79,165,166,180,194,199,201,213,264,
449],[1,2,3,5,9,10,15,17,19,45,47,49,50,80,167,178,179,254,450],[1,2,3,4,9,10,
11,15,16,18,45,49,51,54,81,82,176,177,179,251,451],[1,2,3,9,10,45,47,78,167,
203,452],[1,2,3,4,9,10,11,12,18,24,40,41,45,47,53,54,57,65,79,82,194,210,222,
348,453],[1,2,3,4,8,9,10,11,40,44,46,47,48,55,65,66,79,82,165,183,184,187,233,
264,279,454],[1,2,3,9,12,13,14,15,41,49,56,68,70,185,206,281,455],[1,2,3,5,9,
12,16,17,19,25,41,50,51,58,62,113,117,121,212,294,303,456],[1,2,3,5,9,10,15,
17,19,26,45,49,50,60,80,86,122,173,178,205,215,254,457],[1,2,3,4,8,9,10,11,16,
45,46,48,51,53,66,78,81,176,201,203,272,273,458],[1,2,3,4,8,9,10,11,13,14,15,
18,20,44,49,53,54,55,56,71,101,111,180,198,208,240,253,459],[1,2,3,4,6,9,11,
12,13,14,15,18,21,22,23,28,41,49,54,56,59,68,70,77,96,103,104,106,114,141,168,
206,207,266,270,307,355,460],[1,2,3,6,9,10,15,23,28,45,49,74,109,114,124,134,
179,278,302,461],[1,2,3,4,9,10,11,13,14,40,45,53,56,65,67,79,175,191,194,
462],[1,2,3,5,6,8,9,10,16,17,19,21,22,23,40,44,46,50,51,72,74,75,76,77,91,112,
116,123,165,193,216,227,232,257,258,357,463],[1,2,3,4,5,9,10,11,12,17,18,19,
20,41,45,50,54,71,79,80,126,127,178,204,210,223,243,464],[1,2,3,4,8,9,10,11,
18,24,40,45,46,48,53,54,55,57,65,66,79,82,177,184,194,201,225,279,291,310,
465],[1,2,3,4,9,10,11,18,45,54,67,78,82,177,191,203,466],[1,2,3,5,8,9,10,15,
16,17,19,20,44,49,50,51,71,75,76,188,193,215,244,262,467],[1,2,3,4,5,9,11,12,
16,17,18,19,20,41,50,51,54,59,71,113,126,168,209,212,243,246,468],[1,2,3,5,9,
12,13,14,15,17,19,20,41,49,50,56,68,70,71,93,100,107,122,127,190,205,206,223,
283,299,304,469],[1,2,3,4,8,9,10,11,12,18,24,41,44,45,48,53,54,55,57,59,65,66,
79,82,83,168,172,177,180,199,210,213,310,348,470],[1,2,3,4,5,6,8,9,10,11,17,
18,19,21,22,23,31,44,45,50,54,65,66,77,80,109,116,123,130,133,137,178,202,213,
227,265,297,334,471],[1,2,3,4,8,9,10,11,15,18,20,44,45,49,54,65,66,71,179,204,
213,244,253,472],[1,2,3,4,9,10,11,16,40,45,51,53,65,67,79,81,176,191,194,235,
255,473],[1,2,3,8,9,10,12,41,44,45,119,166,239,256,292,474],[1,2,3,8,9,10,12,
41,44,45,67,78,166,191,203,221,268,475],[1,2,3,9,10,13,14,45,56,67,78,175,268,
476],[1,2,3,4,9,10,11,18,45,54,82,119,177,256,477],[1,2,3,4,6,9,10,11,12,13,
14,18,21,22,23,41,45,54,56,77,79,94,98,104,106,109,175,202,210,248,266,478],[
1,2,3,5,9,10,16,17,45,51,62,75,80,81,113,117,121,176,231,274,303,340,479],[1,
2,3,4,5,8,9,10,11,17,19,45,46,48,50,53,66,67,80,178,191,201,276,290,480],[1,2,
3,8,9,10,13,14,15,20,43,44,49,52,56,71,170,208,214,220,286,481],[1,2,3,9,10,
13,14,16,45,51,56,61,81,174,176,189,192,285,482],[1,2,3,4,6,8,9,10,11,16,18,
21,22,23,44,45,51,54,65,66,77,81,91,109,112,142,176,202,213,232,236,328,329,
483],[1,2,3,6,9,10,13,14,23,28,45,56,74,109,114,125,138,175,278,327,484],[1,2,
3,5,9,12,16,17,19,20,26,41,50,51,60,71,86,113,127,173,188,212,223,252,485],[1,
2,3,4,9,10,11,12,16,18,20,41,45,51,54,71,79,81,176,204,210,245,246,486],[1,2,
3,6,9,10,20,21,22,23,45,47,71,77,109,167,202,204,249,250,487],[1,2,3,4,8,9,10,
11,13,14,18,20,44,45,54,56,65,66,71,101,111,175,204,213,220,240,488],[1,2,3,5,
9,12,16,17,19,20,41,50,51,61,71,113,174,196,212,245,252,489],[1,2,3,9,10,16,
45,51,81,119,176,292,490],[1,2,3,4,6,9,10,11,18,20,21,22,23,45,54,71,77,82,
109,131,143,177,202,204,238,277,491],[1,2,3,6,9,12,13,14,15,21,22,23,41,43,49,
52,56,68,69,70,73,77,90,94,97,98,170,206,211,224,234,248,259,318,492],[1,2,3,
8,9,10,13,14,15,20,44,49,56,63,71,107,171,190,208,244,286,493],[1,2,3,9,12,13,
14,15,16,20,41,49,51,56,68,70,71,192,206,214,245,262,494],[1,2,3,9,10,15,45,
49,67,78,179,268,495],[1,2,3,5,8,9,10,13,14,16,17,19,20,44,50,51,56,71,75,76,
93,100,189,193,196,220,283,496],[1,2,3,4,9,10,11,18,24,45,47,53,54,57,65,79,
82,177,222,225,269,348,497],[1,2,3,4,6,9,10,11,12,15,18,21,22,23,41,45,49,54,
77,79,109,128,141,179,202,210,230,270,498],[1,2,3,6,9,10,16,20,21,22,23,45,51,
71,77,81,118,176,195,196,229,249,499],[1,2,3,6,9,10,15,20,21,22,23,45,49,71,
77,107,110,179,190,197,241,250,500],[1,2,3,5,6,8,9,10,13,14,15,17,19,21,22,23,
44,49,50,56,77,92,102,110,116,122,123,197,205,208,227,228,501],[1,2,3,6,9,10,
13,14,20,21,22,23,45,56,69,71,73,77,89,95,175,211,214,249,271,502],[1,2,3,6,9,
12,13,14,15,21,22,23,28,41,42,49,56,68,70,77,94,96,98,103,114,128,164,206,207,
230,248,301,316,503],[1,2,3,6,8,9,10,13,14,15,16,21,22,23,44,49,51,56,69,73,
77,91,112,192,208,211,232,267,504],[1,2,3,5,9,12,16,17,19,20,41,42,50,51,71,
113,127,164,209,212,223,245,505],[1,2,3,8,9,10,13,14,15,20,40,44,46,49,56,71,
165,198,208,220,244,506],[1,2,3,5,9,10,15,17,19,45,49,50,63,122,171,179,205,
215,254,507],[1,2,3,4,5,9,10,11,17,19,40,45,50,53,65,78,79,80,178,194,203,282,
287,508],[1,2,3,5,9,10,17,19,45,50,80,119,178,292,509],[1,2,3,4,8,9,10,11,13,
14,45,46,48,53,56,66,78,175,201,203,510],[1,2,3,9,10,13,14,16,43,45,51,52,56,
170,175,189,192,285,511],[1,2,3,4,5,6,8,9,10,11,16,17,18,19,21,22,23,31,44,50,
51,53,54,55,72,74,75,76,77,130,133,137,142,180,193,216,236,265,293,332,512],[
1,2,3,5,6,8,9,10,16,17,19,21,22,23,26,30,44,50,51,60,75,76,77,86,99,116,123,
135,144,173,193,200,227,261,325,326,513],[1,2,3,5,6,9,12,15,16,17,19,21,22,23,
30,41,49,50,51,77,99,113,128,135,200,212,215,230,267,514],[1,2,3,9,10,45,47,
119,167,256,515],[1,2,3,5,6,9,10,17,19,20,21,22,23,30,45,50,71,77,80,99,129,
135,178,188,200,250,280,516],[1,2,3,4,9,10,11,15,40,45,49,53,65,78,79,179,194,
203,517],[1,2,3,5,6,9,12,13,14,16,17,19,21,22,23,41,50,51,56,77,92,94,98,102,
113,118,189,195,212,228,248,518],[1,2,3,5,6,8,9,10,16,17,19,21,22,23,44,50,51,
61,75,76,77,91,112,118,144,174,193,195,232,261,323,335,519],[1,2,3,6,9,12,13,
14,15,21,22,23,41,49,56,63,68,70,77,90,97,110,128,171,197,206,230,234,321,341,
520],[1,2,3,4,8,9,10,11,15,45,46,48,49,53,66,67,179,191,201,521],[1,2,3,5,9,
10,16,17,19,25,45,50,58,75,80,81,113,117,121,178,231,263,294,340,522],[1,2,3,
4,8,9,10,11,18,24,48,53,54,55,57,64,65,66,79,82,83,169,172,217,225,291,310,
348,523],[1,3,6,12,14,15,21,28,42,68,96,98,124,128,138,185,316,337,524],[1,2,
5,6,10,16,17,23,26,27,30,40,60,61,74,75,85,91,99,118,123,144,257,323,325,399,
525],[1,3,6,12,14,15,21,27,28,42,43,63,68,69,88,96,97,98,110,128,224,316,321,
401,526],[1,3,4,6,12,14,15,18,22,28,59,68,103,104,134,138,141,185,355,358,
527],[1,2,3,4,5,9,11,15,16,17,18,19,20,49,50,51,54,71,107,126,190,215,243,251,
252,253,262,528],[1,2,3,5,6,8,9,10,15,16,17,19,20,21,22,23,44,49,50,51,71,75,
76,77,116,122,123,129,193,205,227,244,252,267,280,529],[1,2,3,5,6,9,10,13,14,
15,16,17,19,21,22,23,45,49,50,51,56,77,90,92,97,102,109,144,202,228,234,254,
261,267,285,530],[1,2,3,5,6,9,12,13,14,17,19,20,21,22,23,41,50,56,71,77,93,94,
98,100,127,129,209,214,223,247,248,280,283,531],[1,2,3,4,6,9,11,15,16,18,20,
21,22,23,49,51,54,71,77,110,118,131,132,141,142,195,197,236,237,238,262,270,
532],[1,2,3,5,6,9,10,16,17,23,28,45,67,74,75,80,81,109,113,114,191,231,278,
351,352,533],[1,2,3,4,6,8,9,10,11,12,15,16,18,20,21,22,23,41,44,48,49,51,54,
71,77,79,91,112,128,143,199,230,232,244,245,251,277,534],[1,2,3,5,6,9,10,15,
17,19,20,21,22,23,30,45,49,50,71,77,99,109,110,129,135,197,200,202,241,249,
254,280,535],[1,2,3,5,6,9,10,17,19,23,28,45,50,67,74,78,80,109,114,178,268,
278,313,352,536],[1,2,3,5,6,8,9,10,16,17,19,20,21,22,23,44,50,51,71,77,91,112,
116,123,129,132,198,227,229,232,237,252,280,537],[1,2,3,4,5,9,11,13,14,15,17,
18,19,20,49,50,54,56,71,93,100,108,115,122,126,188,205,243,253,260,283,286,
538],[1,2,3,5,6,8,9,10,13,14,17,19,20,21,22,23,44,50,56,71,77,89,93,95,100,
116,123,188,198,220,227,247,271,283,539],[1,2,3,4,6,8,9,10,11,18,20,21,22,23,
44,45,54,65,66,71,72,74,77,131,143,198,213,216,238,249,250,277,540],[1,2,3,6,
8,9,10,13,14,15,23,28,44,49,56,72,109,114,124,125,134,138,208,275,302,327,
541],[1,2,3,5,6,9,12,13,14,17,19,20,21,22,23,28,30,41,50,56,71,77,89,92,94,95,
96,98,99,102,103,114,127,132,135,200,207,223,228,237,248,271,371,400,542],[1,
2,3,5,6,9,12,13,14,15,17,19,20,21,22,23,41,49,50,56,68,70,71,77,92,102,127,
128,206,215,223,228,230,241,286,543],[1,2,3,4,6,9,10,11,12,13,14,16,18,20,21,
22,23,41,45,51,54,56,71,77,79,94,98,101,111,142,210,236,240,245,248,250,285,
544],[1,2,3,6,8,9,10,23,28,40,44,46,72,109,114,119,165,239,275,317,344,545],[
1,2,3,5,6,9,12,15,16,17,19,20,21,22,23,41,49,50,51,71,77,113,122,127,128,129,
144,205,212,223,230,261,262,280,546],[1,2,3,4,5,6,9,11,13,14,16,17,18,19,21,
22,23,50,51,54,56,69,73,77,92,102,104,106,108,115,142,144,189,211,228,236,260,
261,266,547],[1,2,3,4,5,6,9,11,13,14,15,17,18,19,21,22,23,30,31,49,50,54,56,
77,90,92,97,99,102,108,115,122,130,133,135,137,141,200,205,228,234,260,265,