1,3,4,5,6,7,10,15,20,21,25,27,28,29,30,31,34,47,65,100,110,118,159],[1,3,4,7,
10,17,25,37,44,97,160],[1,2,4,5,9,14,18,26,32,33,59,72,75,161],[1,2,3,4,5,8,9,
13,14,18,32,33,41,72,75,94,162],[1,3,4,5,10,11,15,16,19,30,32,33,47,53,54,80,
96,98,163],[1,2,4,5,6,7,9,14,21,22,25,27,28,29,30,31,34,56,74,81,110,118,
164],[1,2,3,5,6,7,8,12,14,15,17,19,20,22,23,45,55,62,93,106,165],[1,2,4,5,9,
14,16,18,32,33,40,72,75,105,166],[1,2,4,5,9,14,30,35,56,68,167],[1,2,4,6,7,9,
16,21,22,25,28,35,40,68,74,87,102,168],[1,3,4,6,10,11,12,13,16,21,35,46,64,77,
86,102,169],[1,3,4,5,10,19,23,30,54,57,61,92,170],[1,3,4,6,7,10,11,12,16,17,
23,28,53,58,61,85,95,171],[1,3,4,7,10,17,25,36,44,82,172],[1,4,6,16,21,24,26,
35,63,70,76,88,102,173],[1,4,6,16,21,24,26,35,69,73,76,102,103,174],[1,3,4,6,
10,12,21,26,35,46,66,71,88,103,175],[1,3,4,5,10,19,26,30,54,66,176],[1,2,3,4,
8,9,11,24,26,42,52,59,177],[1,3,4,5,10,19,30,35,54,71,178],[1,3,5,6,7,12,17,
19,29,36,49,82,109,179],[1,3,4,10,11,16,35,53,77,180],[1,2,4,9,24,35,52,63,68,
73,107,181],[1,3,4,5,6,7,10,12,15,17,23,28,30,47,57,58,93,106,182],[1,2,3,4,5,
8,9,11,14,18,32,33,42,72,75,94,105,183],[1,2,4,6,7,9,21,22,24,25,28,52,67,74,
76,84,184],[1,3,4,6,7,10,12,20,21,24,25,28,46,65,76,78,84,185],[1,2,3,4,6,7,8,
9,13,21,22,25,28,35,41,68,74,83,86,186],[1,2,3,4,5,8,9,10,14,18,32,33,39,72,
75,94,105,187],[1,3,4,7,10,17,25,26,35,44,66,71,79,91,188],[1,2,4,5,9,14,18,
24,32,33,52,72,75,189],[1,3,4,7,10,11,13,16,17,25,35,44,64,77,83,87,190],[1,2,
4,9,24,52,89,191],[1,3,5,7,17,19,31,36,50,82,192],[1,2,4,9,18,26,59,75,193],[
1,2,3,8,18,43,108,194],[1,2,3,4,6,7,8,9,11,12,17,20,22,23,42,55,62,85,95,
195],[1,3,4,6,7,10,17,20,21,24,25,28,44,65,67,78,84,196],[1,2,4,5,9,14,26,32,
33,59,72,113,197],[1,3,5,6,7,12,17,19,29,37,49,97,114,198],[1,4,7,16,24,25,26,
35,63,67,69,87,91,199],[1,4,7,16,24,25,26,35,67,70,73,79,87,200],[1,3,5,7,17,
19,31,37,50,97,201],[1,2,4,9,24,52,90,202],[1,4,16,24,26,69,89,90,203],[1,3,4,
5,6,7,11,12,15,17,19,23,29,32,33,49,85,92,93,95,98,106,204],[1,3,4,6,7,13,21,
24,25,26,35,63,79,83,84,86,103,104,205],[1,4,5,16,24,26,30,32,33,70,96,99,101,
113,206],[1,2,4,6,7,9,18,21,22,25,28,35,60,68,74,207],[1,3,4,6,7,10,12,17,26,
28,35,58,66,71,208],[1,4,5,6,21,24,33,76,90,99,209],[1,4,5,24,33,35,73,89,99,
210],[1,3,4,7,13,24,25,26,35,67,79,83,91,104,107,211],[1,4,16,24,26,70,89,90,
212],[1,4,5,7,24,25,32,67,89,101,213],[1,4,5,6,21,24,32,76,89,101,214],[1,3,4,
5,6,7,11,12,15,17,19,23,27,32,33,51,85,92,93,95,98,106,215],[1,4,5,24,32,35,
63,90,101,216],[1,3,5,7,17,19,31,36,37,50,82,97,111,112,217],[1,3,4,5,6,11,12,
15,19,23,32,33,34,48,92,95,98,106,218],[1,2,4,9,18,60,108,219],[1,3,5,6,7,12,
17,19,27,36,37,51,82,97,220],[1,3,4,10,11,13,16,23,35,57,64,77,221],[1,3,4,10,
11,13,16,24,26,64,66,69,70,78,104,222],[1,4,5,7,24,25,33,67,90,99,223],[1,4,5,
24,33,35,63,89,99,224],[1,3,4,6,13,21,24,26,35,76,86,88,103,104,107,225],[1,3,
4,10,23,57,115,226],[1,2,3,6,7,8,12,17,20,22,36,37,62,82,97,116,117,227],[1,4,
5,24,32,35,73,90,101,228],[1,3,4,6,7,10,11,13,16,20,21,25,28,35,64,65,71,83,
86,87,102,229],[1,4,6,7,16,21,24,25,26,35,69,79,84,87,88,102,107,230],[1,3,4,
6,7,13,21,24,25,26,35,73,83,84,86,88,91,104,231],[1,3,4,6,7,10,12,17,28,36,37,
58,82,97,232],[1,4,6,7,16,21,24,25,26,35,70,84,87,91,102,103,107,233],[1,3,4,
6,7,10,20,21,23,24,25,28,61,65,78,234],[1,3,4,6,7,10,20,21,25,26,28,35,65,66,
77,79,88,91,103,235],[1,2,4,6,7,9,21,22,25,26,28,35,59,68,74,79,88,91,103,
236],[1,4,5,16,24,26,30,32,33,69,80,99,101,113,237],[1,3,4,10,24,35,63,71,73,
77,78,107,238],[1,3,4,5,7,11,15,17,19,23,31,32,33,50,85,92,93,98,239],[1,3,4,
10,23,61,115,240],[1,2,3,8,23,55,115,241],[1,3,5,6,7,15,20,27,29,31,34,36,37,
100,109,111,112,114,117,242],[1,2,18,108,243],[1,2,5,6,7,14,22,27,29,31,34,36,
37,81,109,111,112,114,116,244],[1,7,37,38,120,245],[1,2,6,7,22,38,119,120,121,
246],[1,7,36,38,120,247],[1,2,3,4,8,9,10,11,13,16,39,40,41,42,53,64,122,124,
126,248],[1,2,3,4,8,9,10,11,16,18,39,40,42,43,53,60,75,122,125,130,134,249],[
1,2,3,4,5,8,9,10,11,14,15,16,19,30,32,33,39,40,42,45,47,53,54,56,72,80,96,98,
122,123,132,147,163,250],[1,2,3,4,8,9,10,11,16,26,39,40,42,53,59,66,122,128,
153,251],[1,2,3,4,5,6,7,8,9,10,12,14,15,17,19,20,21,22,25,27,28,29,30,31,34,
39,44,45,46,47,48,49,50,51,54,56,58,62,65,74,81,100,110,118,123,127,137,138,
146,159,164,252],[1,2,3,4,5,8,9,10,14,15,19,23,30,39,45,47,54,55,56,57,61,92,
123,129,143,170,253],[1,2,3,4,8,9,10,11,16,24,39,40,42,52,53,78,122,131,140,
254],[1,2,3,4,8,9,10,24,35,39,52,63,68,71,73,77,78,107,131,144,181,238,255],[
1,2,3,4,6,7,8,9,10,12,17,20,21,22,24,25,28,39,44,46,52,58,62,65,67,74,76,78,
84,127,131,184,185,196,256],[1,2,3,4,5,8,9,10,14,15,19,30,35,39,45,47,54,56,
68,71,77,123,144,178,257],[1,2,3,4,8,9,10,11,13,16,24,26,39,40,41,42,52,59,64,
66,69,70,78,104,124,128,131,141,148,222,258],[1,2,3,4,8,9,10,11,16,35,39,40,
42,53,68,71,77,122,144,180,259],[1,2,3,4,5,8,9,10,14,15,19,26,30,39,45,47,54,
56,59,66,123,128,176,260],[1,2,3,4,8,9,10,24,35,39,52,68,71,77,78,131,144,
261],[1,2,3,4,5,8,9,10,14,15,19,30,35,39,45,47,54,56,68,71,77,123,144,167,
262],[1,2,3,4,5,8,9,10,14,15,19,24,30,39,45,47,52,54,56,78,123,131,156,263],[
1,2,3,4,5,8,9,10,11,13,14,15,16,18,19,30,39,40,41,42,43,45,47,54,56,60,64,94,
105,123,124,125,133,135,154,157,264],[1,2,3,4,6,7,8,9,10,11,12,16,17,20,21,22,
23,25,28,39,40,42,44,46,53,55,57,58,61,62,65,74,85,95,122,127,129,150,152,171,
195,265],[1,2,3,4,8,9,10,11,13,16,24,26,39,40,41,42,52,59,64,66,78,124,128,
131,177,266],[1,2,3,4,8,9,10,23,24,39,52,55,57,61,78,129,131,267],[1,2,3,4,5,
6,7,8,9,10,12,14,15,17,19,20,21,22,23,25,28,30,39,44,45,46,47,54,55,56,57,58,
61,62,65,74,93,106,123,127,129,136,139,165,182,268],[1,2,3,4,5,8,9,13,14,18,
24,26,32,33,41,52,59,72,75,94,101,104,145,148,149,161,162,269],[1,3,4,7,10,11,
16,17,23,25,37,44,53,57,85,97,150,160,270],[1,2,4,5,9,14,16,24,26,30,32,33,40,
52,56,59,69,70,72,80,96,99,101,113,141,147,149,151,197,206,237,271],[1,2,3,4,
5,8,9,10,14,18,24,32,33,39,52,72,75,78,94,99,105,131,145,151,187,189,272],[1,
2,4,5,9,14,16,18,24,30,40,52,56,60,105,133,140,273],[1,2,3,4,6,7,8,9,10,12,17,
18,20,21,22,25,28,35,39,43,44,46,58,60,62,65,68,71,74,77,125,127,144,207,
274],[1,2,3,4,5,8,9,10,11,14,16,18,30,32,33,39,40,42,53,56,60,72,75,80,94,96,
105,122,133,134,147,154,166,183,187,275],[1,2,3,4,6,7,8,9,10,12,17,20,21,22,
25,26,28,35,39,44,46,58,59,62,65,66,68,71,74,77,79,88,91,103,127,128,144,175,
188,235,236,276],[1,2,3,4,5,8,9,13,14,18,24,26,32,33,41,52,59,72,75,94,99,104,
142,148,151,158,162,277],[1,2,3,4,8,9,10,24,39,52,78,90,131,202,278],[1,2,3,4,
8,9,10,18,24,26,39,43,52,59,60,66,78,125,128,131,279],[1,2,3,4,6,7,8,9,10,12,
17,20,21,22,23,24,25,28,39,44,46,52,55,57,58,61,62,65,74,78,127,129,131,234,
280],[1,3,4,5,6,7,10,12,17,19,25,27,28,29,30,31,36,44,49,50,51,54,58,82,109,
110,146,172,179,192,281],[1,3,4,5,6,7,10,12,17,19,25,27,28,29,30,31,37,44,49,
50,51,54,58,97,110,114,146,160,198,201,282],[1,2,3,4,8,9,10,11,13,16,23,35,39,
40,41,42,55,57,61,64,68,71,77,124,129,144,221,283],[1,2,3,4,8,9,10,23,26,35,
39,55,57,59,61,66,68,71,77,128,129,144,284],[1,2,3,4,8,9,10,18,23,35,39,43,55,
57,60,61,68,71,77,125,129,144,285],[1,3,4,5,7,10,15,17,23,25,30,36,44,47,61,
82,93,136,172,286],[1,2,3,4,8,9,10,11,13,16,24,26,39,40,41,42,52,59,64,104,
124,140,148,153,177,287],[1,3,4,7,10,11,16,17,23,25,36,44,53,57,82,85,150,172,
288],[1,2,4,5,9,14,16,18,26,30,40,56,59,60,105,133,153,289],[1,2,3,4,8,9,10,
24,39,52,78,89,131,191,290],[1,2,3,4,8,9,10,11,16,24,26,39,40,42,52,53,59,69,
70,122,140,141,153,177,291],[1,3,4,5,7,10,15,17,23,25,30,37,44,47,61,93,97,
136,160,292],[1,2,4,9,16,18,24,26,40,52,59,60,69,70,75,134,141,142,145,193,
293],[1,2,3,4,5,8,9,10,11,13,14,15,16,18,19,32,33,39,40,41,42,43,45,64,72,75,
94,98,105,124,130,132,157,162,166,183,187,294],[1,2,3,4,5,8,9,10,11,13,14,16,
18,30,32,33,39,40,41,42,56,60,64,72,75,80,94,96,105,124,134,135,147,154,162,
183,187,295],[1,2,3,4,8,9,10,23,26,35,39,55,57,59,61,66,68,71,77,128,129,144,
296],[1,2,3,4,8,9,10,24,35,39,52,68,71,77,78,131,144,297],[1,2,3,4,5,8,9,10,
14,18,24,32,33,39,52,72,75,78,94,101,105,131,142,149,155,187,298],[1,2,3,4,6,
7,8,9,10,11,12,13,16,17,20,21,22,25,28,35,39,40,41,42,44,46,58,62,64,65,68,71,
74,77,83,86,87,102,124,127,144,168,169,186,190,229,299],[1,2,3,4,8,9,10,18,39,
43,60,108,125,194,219,300],[1,2,3,4,6,7,8,9,10,12,17,20,21,22,25,26,28,35,39,
44,46,58,59,62,65,66,68,71,74,77,127,128,144,208,301],[1,3,4,5,6,7,10,12,17,
19,21,26,27,28,29,30,34,35,46,48,49,51,54,58,66,71,88,103,118,137,175,176,178,
208,302],[1,2,3,5,6,7,8,12,14,15,17,19,20,22,27,29,31,34,36,37,45,48,49,50,51,
62,81,82,97,100,109,111,112,114,116,117,138,179,198,217,227,242,244,303],[1,2,
4,5,6,7,9,14,16,18,21,22,25,27,28,29,30,31,34,35,40,56,60,68,74,81,87,102,105,
110,118,133,164,167,168,207,304],[1,3,4,5,6,7,10,12,17,19,25,27,28,29,30,31,
36,37,44,49,50,51,54,58,82,97,110,111,112,146,160,172,217,220,305],[1,3,4,7,
10,11,16,17,23,25,36,37,44,53,57,82,85,97,150,160,172,306],[1,2,4,5,9,14,16,
18,24,32,33,40,52,60,72,75,105,134,140,142,145,155,166,189,307],[1,3,4,5,6,7,
10,11,12,15,16,17,19,21,23,27,28,29,30,32,33,34,46,47,48,49,51,53,54,57,58,61,
80,85,92,93,95,96,98,106,118,137,139,152,163,170,171,182,204,215,218,308],[1,
3,4,5,7,10,15,17,23,25,30,36,37,44,47,61,82,93,97,136,160,172,309],[1,3,4,5,7,
10,15,17,23,25,30,44,47,61,93,115,136,240,310],[1,2,3,4,5,8,9,13,14,18,30,41,
56,60,94,108,135,219,311],[1,2,4,5,9,14,16,18,30,40,56,60,105,108,133,219,
312],[1,2,4,5,6,7,9,14,21,22,24,25,28,32,33,52,67,72,74,76,84,90,99,151,184,
202,209,223,313],[1,2,4,5,9,14,16,18,24,30,32,33,40,52,56,72,75,80,96,99,101,
105,140,147,149,151,155,166,189,314],[1,2,4,5,9,14,16,18,26,30,32,33,40,56,59,
72,75,80,96,105,113,147,153,158,161,166,197,315],[1,2,3,4,5,6,7,8,9,13,14,18,
21,22,25,27,28,29,30,31,34,35,41,56,60,68,74,81,83,86,94,110,118,135,164,167,
186,207,316],[1,3,4,5,6,7,10,12,15,20,21,23,24,25,27,28,29,30,31,34,46,47,61,
65,76,78,84,100,106,110,118,139,156,159,185,234,317],[1,2,3,4,8,9,10,23,39,55,
57,61,115,129,226,240,241,318],[1,2,3,5,6,7,8,12,14,15,17,19,20,22,27,29,31,
34,36,37,45,48,49,50,51,62,81,82,97,100,116,117,138,192,201,220,227,319],[1,3,
4,5,6,7,10,12,17,19,25,27,28,29,30,31,36,37,44,49,50,51,54,58,82,97,110,111,
112,146,192,201,217,232,320],[1,2,3,4,5,6,7,8,9,11,12,14,15,17,19,20,22,23,27,
29,31,32,33,34,42,45,48,49,50,51,55,62,72,81,85,92,93,95,98,100,106,132,138,
143,165,195,204,215,218,239,321],[1,2,3,4,6,7,8,9,13,21,22,24,25,26,28,35,41,
52,59,63,67,68,73,74,76,79,83,84,86,88,91,103,104,107,148,181,184,186,205,211,
225,231,236,322],[1,2,4,6,7,9,18,21,22,24,25,28,52,67,74,75,76,84,90,145,184,
202,323],[1,2,4,6,7,9,18,21,22,24,25,28,52,67,74,75,76,84,89,142,184,191,
324],[1,2,3,4,5,8,9,11,14,15,18,19,24,26,32,33,42,45,52,59,72,75,94,98,101,
105,113,132,149,158,177,183,189,197,325],[1,2,3,4,5,8,9,11,14,15,18,19,24,26,
32,33,42,45,52,59,72,75,94,98,99,105,113,132,151,155,161,177,183,197,326],[1,
2,4,5,9,14,16,18,24,26,30,40,52,56,59,60,105,133,140,153,327],[1,3,4,5,6,10,
12,15,21,23,30,46,47,61,106,115,139,240,328],[1,2,3,4,5,8,9,13,14,18,24,26,32,
33,41,52,59,72,75,94,104,113,148,155,162,189,193,197,329],[1,2,4,5,9,14,16,18,
24,26,30,32,33,40,52,56,59,60,69,70,72,75,80,96,134,141,147,155,158,161,189,
330],[1,3,4,7,10,11,16,17,23,25,44,53,57,85,115,150,226,331],[1,3,4,6,10,11,
12,13,16,21,23,35,46,53,57,64,77,86,95,102,126,152,169,180,221,332],[1,3,4,6,
10,11,12,16,21,23,46,53,57,95,115,152,226,333],[1,3,4,5,6,7,10,12,17,19,21,27,
28,29,30,34,36,37,46,48,49,51,54,58,82,97,109,114,118,137,179,198,220,232,
334],[1,3,4,5,6,7,10,15,17,20,21,23,24,25,27,28,29,30,31,34,44,47,61,65,67,78,
84,93,100,110,118,136,156,159,196,234,335],[1,2,3,4,5,8,9,10,14,18,26,32,33,
39,59,66,72,75,94,105,113,128,158,161,187,193,197,336],[1,2,4,5,9,14,24,32,33,
35,52,63,68,72,73,90,101,107,149,181,202,216,228,337],[1,2,3,5,8,14,15,19,23,
45,55,92,115,143,241,338],[1,2,3,5,8,14,15,19,23,45,55,92,115,143,241,339],[1,
3,4,7,10,11,13,16,17,23,25,35,44,53,57,64,77,83,85,87,126,150,180,190,221,
340],[1,2,3,4,5,8,9,11,14,18,24,26,32,33,42,43,52,59,72,75,94,105,130,145,155,
158,177,183,193,341],[1,2,3,4,6,7,8,9,10,12,17,20,21,22,25,28,36,37,39,44,46,
58,62,65,74,82,97,116,117,127,160,172,227,232,342],[1,3,4,5,6,7,10,11,12,15,
16,17,19,23,25,27,28,29,30,31,32,33,44,47,49,50,51,53,54,57,58,61,80,85,92,93,
95,96,98,106,110,136,146,150,163,170,171,182,204,215,239,343],[1,2,3,4,8,9,11,
18,42,43,75,108,130,194,344],[1,2,4,5,6,7,9,14,21,22,24,25,28,32,33,52,67,72,
74,76,84,89,101,149,184,191,213,214,345],[1,2,4,5,9,14,24,32,33,35,52,63,68,
72,73,89,99,107,151,181,191,210,224,346],[1,2,4,9,16,24,26,40,52,59,69,70,89,
90,141,191,202,203,212,347],[1,2,4,5,9,14,16,18,26,32,33,40,59,60,72,75,105,
134,153,158,161,166,193,348],[1,2,3,4,5,8,9,11,14,18,24,26,32,33,42,43,52,59,
72,75,94,105,130,142,161,177,183,189,193,349],[1,2,4,6,7,9,16,21,22,24,25,26,
28,35,40,52,59,63,67,68,69,70,73,74,76,79,84,87,88,91,102,103,107,141,168,173,
174,181,184,199,200,230,233,236,350],[1,3,4,5,6,7,10,12,17,19,25,26,27,28,29,
30,31,35,44,49,50,51,54,58,66,71,79,91,110,146,176,178,188,208,351],[1,2,3,4,
8,9,13,24,26,41,52,59,89,90,104,148,191,202,352],[1,2,4,9,18,24,35,52,63,68,
73,75,89,107,145,181,191,353],[1,2,4,9,18,24,35,52,63,68,73,75,90,107,142,181,
202,354],[1,4,5,6,16,21,24,26,30,32,33,35,69,73,76,80,89,90,99,101,102,103,
113,174,203,209,210,214,228,237,355],[1,3,4,6,7,10,11,12,13,16,20,21,24,25,26,
28,35,46,63,64,65,66,69,70,71,73,76,77,78,79,83,84,86,87,88,91,102,103,104,
107,169,173,174,175,185,205,222,225,229,230,231,233,235,238,356],[1,4,5,6,16,
21,24,26,30,32,33,35,63,70,76,88,89,90,96,99,101,102,113,173,206,209,212,214,
216,224,357],[1,3,4,6,7,10,11,13,16,17,20,21,24,25,26,28,35,44,63,64,65,66,67,
69,70,71,73,77,78,79,83,84,86,87,88,91,102,103,104,107,188,190,196,199,200,
205,211,222,229,230,231,233,235,238,358],[1,2,3,8,18,43,108,194,243,359],[1,4,
5,7,16,24,25,26,30,32,33,35,63,67,69,80,87,89,90,91,99,101,113,199,203,213,
216,223,224,237,360],[1,4,5,7,16,24,25,26,30,32,33,35,67,70,73,79,87,89,90,96,
99,101,113,200,206,210,212,213,223,228,361],[1,2,6,7,22,36,37,38,116,119,120,
121,245,246,247,362],[1,2,3,4,5,8,9,10,11,14,15,16,19,26,30,32,33,39,40,42,45,