#include<bits/stdc++.h>
using namespace std;
int q[44721]=
{
-1,
4,
7,
11,
16,
22,
29,
37,
46,
56,
67,
79,
92,
106,
121,
137,
154,
172,
191,
211,
232,
254,
277,
301,
326,
352,
379,
407,
436,
466,
497,
529,
562,
596,
631,
667,
704,
742,
781,
821,
862,
904,
947,
991,
1036,
1082,
1129,
1177,
1226,
1276,
1327,
1379,
1432,
1486,
1541,
1597,
1654,
1712,
1771,
1831,
1892,
1954,
2017,
2081,
2146,
2212,
2279,
2347,
2416,
2486,
2557,
2629,
2702,
2776,
2851,
2927,
3004,
3082,
3161,
3241,
3322,
3404,
3487,
3571,
3656,
3742,
3829,
3917,
4006,
4096,
4187,
4279,
4372,
4466,
4561,
4657,
4754,
4852,
4951,
5051,
5152,
5254,
5357,
5461,
5566,
5672,
5779,
5887,
5996,
6106,
6217,
6329,
6442,
6556,
6671,
6787,
6904,
7022,
7141,
7261,
7382,
7504,
7627,
7751,
7876,
8002,
8129,
8257,
8386,
8516,
8647,
8779,
8912,
9046,
9181,
9317,
9454,
9592,
9731,
9871,
10012,
10154,
10297,
10441,
10586,
10732,
10879,
11027,
11176,
11326,
11477,
11629,
11782,
11936,
12091,
12247,
12404,
12562,
12721,
12881,
13042,
13204,
13367,
13531,
13696,
13862,
14029,
14197,
14366,
14536,
14707,
14879,
15052,
15226,
15401,
15577,
15754,
15932,
16111,
16291,
16472,
16654,
16837,
17021,
17206,
17392,
17579,
17767,
17956,
18146,
18337,
18529,
18722,
18916,
19111,
19307,
19504,
19702,
19901,
20101,
20302,
20504,
20707,
20911,
21116,
21322,
21529,
21737,
21946,
22156,
22367,
22579,
22792,
23006,
23221,
23437,
23654,
23872,
24091,
24311,
24532,
24754,
24977,
25201,
25426,
25652,
25879,
26107,
26336,
26566,
26797,
27029,
27262,
27496,
27731,
27967,
28204,
28442,
28681,
28921,
29162,
29404,
29647,
29891,
30136,
30382,
30629,
30877,
31126,
31376,
31627,
31879,
32132,
32386,
32641,
32897,
33154,
33412,
33671,
33931,
34192,
34454,
34717,
34981,
35246,
35512,
35779,
36047,
36316,
36586,
36857,
37129,
37402,
37676,
37951,
38227,
38504,
38782,
39061,
39341,
39622,
39904,
40187,
40471,
40756,
41042,
41329,
41617,
41906,
42196,
42487,
42779,
43072,
43366,
43661,
43957,
44254,
44552,
44851,
45151,
45452,
45754,
46057,
46361,
46666,
46972,
47279,
47587,
47896,
48206,
48517,
48829,
49142,
49456,
49771,
50087,
50404,
50722,
51041,
51361,
51682,
52004,
52327,
52651,
52976,
53302,
53629,
53957,
54286,
54616,
54947,
55279,
55612,
55946,
56281,
56617,
56954,
57292,
57631,
57971,
58312,
58654,
58997,
59341,
59686,
60032,
60379,
60727,
61076,
61426,
61777,
62129,
62482,
62836,
63191,
63547,
63904,
64262,
64621,
64981,
65342,
65704,
66067,
66431,
66796,
67162,
67529,
67897,
68266,
68636,
69007,
69379,
69752,
70126,
70501,
70877,
71254,
71632,
72011,
72391,
72772,
73154,
73537,
73921,
74306,
74692,
75079,
75467,
75856,
76246,
76637,
77029,
77422,
77816,
78211,
78607,
79004,
79402,
79801,
80201,
80602,
81004,
81407,
81811,
82216,
82622,
83029,
83437,
83846,
84256,
84667,
85079,
85492,
85906,
86321,
86737,
87154,
87572,
87991,
88411,
88832,
89254,
89677,
90101,
90526,
90952,
91379,
91807,
92236,
92666,
93097,
93529,
93962,
94396,
94831,
95267,
95704,
96142,
96581,
97021,
97462,
97904,
98347,
98791,
99236,
99682,
100129,
100577,
101026,
101476,
101927,
102379,
102832,
103286,
103741,
104197,
104654,
105112,
105571,
106031,
106492,
106954,
107417,
107881,
108346,
108812,
109279,
109747,
110216,
110686,
111157,
111629,
112102,
112576,
113051,
113527,
114004,
114482,
114961,
115441,
115922,
116404,
116887,
117371,
117856,
118342,
118829,
119317,
119806,
120296,
120787,
121279,
121772,
122266,
122761,
123257,
123754,
124252,
124751,
125251,
125752,
126254,
126757,
127261,
127766,
128272,
128779,
129287,
129796,
130306,
130817,
131329,
131842,
132356,
132871,
133387,
133904,
134422,
134941,
135461,
135982,
136504,
137027,
137551,
138076,
138602,
139129,
139657,
140186,
140716,
141247,
141779,
142312,
142846,
143381,
143917,
144454,
144992,
145531,
146071,
146612,
147154,
147697,
148241,
148786,
149332,
149879,
150427,
150976,
151526,
152077,
152629,
153182,
153736,
154291,
154847,
155404,
155962,
156521,
157081,
157642,
158204,
158767,
159331,
159896,
160462,
161029,
161597,
162166,
162736,
163307,
163879,
164452,
165026,
165601,
166177,
166754,
167332,
167911,
168491,
169072,
169654,
170237,
170821,
171406,
171992,
172579,
173167,
173756,
174346,
174937,
175529,
176122,
176716,
177311,
177907,
178504,
179102,
179701,
180301,
180902,
181504,
182107,
182711,
183316,
183922,
184529,
185137,
185746,
186356,
186967,
187579,
188192,
188806,
189421,
190037,
190654,
191272,
191891,
192511,
193132,
193754,
194377,
195001,
195626,
196252,
196879,
197507,
198136,
198766,
199397,
200029,
200662,
201296,
201931,
202567,
203204,
203842,
204481,
205121,
205762,
206404,
207047,
207691,
208336,
208982,
209629,
210277,
210926,
211576,
212227,
212879,
213532,
214186,
214841,
215497,
216154,
216812,
217471,
218131,
218792,
219454,
220117,
220781,
221446,
222112,
222779,
223447,
224116,
224786,
225457,
226129,
226802,
227476,
228151,
228827,
229504,
230182,
230861,
231541,
232222,
232904,
233587,
234271,
234956,
235642,
236329,
237017,
237706,
238396,
239087,
239779,
240472,
241166,
241861,
242557,
243254,
243952,
244651,
245351,
246052,
246754,
247457,
248161,
248866,
249572,
250279,
250987,
251696,
252406,
253117,
253829,
254542,
255256,
255971,
256687,
257404,
258122,
258841,
259561,
260282,
261004,
261727,
262451,
263176,
263902,
264629,
265357,
266086,
266816,
267547,
268279,
269012,
269746,
270481,
271217,
271954,
272692,
273431,
274171,
274912,
275654,
276397,
277141,
277886,
278632,
279379,
280127,
280876,
281626,
282377,
283129,
283882,
284636,
285391,
286147,
286904,
287662,
288421,
289181,
289942,
290704,
291467,
292231,
292996,
293762,
294529,
295297,
296066,
296836,
297607,
298379,
299152,
299926,
300701,
301477,
302254,
303032,
303811,
304591,
305372,
306154,
306937,
307721,
308506,
309292,
310079,
310867,
311656,
312446,
313237,
314029,
314822,
315616,
316411,
317207,
318004,
318802,
319601,
320401,
321202,
322004,
322807,
323611,
324416,
325222,
326029,
326837,
327646,
328456,
329267,
330079,
330892,
331706,
332521,
333337,
334154,
334972,
335791,
336611,
337432,
338254,
339077,
339901,
340726,
341552,
342379,
343207,
344036,
344866,
345697,
346529,
347362,
348196,
349031,
349867,
350704,
351542,
352381,
353221,
354062,
354904,
355747,
356591,
357436,
358282,
359129,
359977,
360826,
361676,
362527,
363379,
364232,
365086,
365941,
366797,
367654,
368512,
369371,
370231,
371092,
371954,
372817,
373681,
374546,
375412,
376279,
377147,
378016,
378886,
379757,
380629,
381502,
382376,
383251,
384127,
385004,
385882,
386761,
387641,
388522,
389404,
390287,
391171,
392056,
392942,
393829,
394717,
395606,
396496,
397387,
398279,
399172,
400066,
400961,
401857,
402754,
403652,
404551,
405451,
406352,
407254,
408157,
409061,
409966,
410872,
411779,
412687,
413596,
414506,
415417,
416329,
417242,
418156,
419071,
419987,
420904,
421822,
422741,
423661,
424582,
425504,
426427,
427351,
428276,
429202,
430129,
431057,
431986,
432916,
433847,
434779,
435712,
436646,
437581,
438517,
439454,
440392,
441331,
442271,
443212,
444154,
445097,
446041,
446986,
447932,
448879,
449827,
450776,
451726,
452677,
453629,
454582,
455536,
456491,
457447,
458404,
459362,
460321,
461281,
462242,
463204,
464167,
465131,
466096,
467062,
468029,
468997,
469966,
470936,
471907,
472879,
473852,
474826,
475801,
476777,
477754,
478732,
479711,
480691,
481672,
482654,
483637,
484621,
485606,
486592,
487579,
488567,
489556,
490546,
491537,
492529,
493522,
494516,
495511,
496507,
497504,
498502,
499501,
500501,
501502,
502504,
503507,
504511,
505516,
506522,
507529,
508537,
509546,
510556,
511567,
512579,
513592,
514606,
515621,
516637,
517654,
518672,
519691,
520711,
521732,
522754,
523777,
524801,
525826,
526852,
527879,
528907,
529936,
530966,
531997,
533029,
534062,
535096,
536131,
537167,
538204,
539242,
540281,
541321,
542362,
543404,
544447,
545491,
546536,
547582,
548629,
549677,
550726,
551776,
552827,
553879,
554932,
555986,
557041,
558097,
559154,
560212,
561271,
562331,
563392,
564454,
565517,
566581,
567646,
568712,
569779,
570847,
571916,
572986,
574057,
575129,
576202,
577276,
578351,
579427,
580504,
581582,
582661,
583741,
584822,
585904,
586987,
588071,
589156,
590242,
591329,
592417,
593506,
594596,
595687,
596779,
597872,
598966,
600061,
601157,
602254,
603352,
604451,
605551,
606652,
607754,
608857,
609961,
611066,
612172,
613279,
614387,
615496,
616606,
617717,
618829,
619942,
621056,
622171,
623287,
624404,
625522,
626641,
627761,
628882,
630004,
631127,
632251,
633376,
634502,
635629,
636757,
637886,
639016,
640147,
641279,
642412,
643546,
644681,
645817,
646954,
648092,
649231,
650371,
651512,
652654,
653797,
654941,
656086,
657232,
658379,
659527,
660676,
661826,
662977,
664129,
665282,
666436,
667591,
668747,
669904,
671062,
672221,
673381,
674542,
675704,
676867,
678031,
679196,
680362,
681529,
682697,
683866,
685036,
686207,
687379,
688552,
689726,
690901,
692077,
693254,
694432,
695611,
696791,
697972,
699154,
700337,
701521,
702706,
703892,
705079,
706267,
707456,
708646,
709837,
711029,
712222,
713416,
714611,
715807,
717004,
718202,
719401,
720601,
721802,
723004,
724207,
725411,
726616,
727822,
729029,
730237,
731446,
732656,
733867,
735079,
736292,
737506,
738721,
739937,
741154,
742372,
743591,
744811,
746032,
747254,
748477,
749701,
750926,
752152,
753379,
754607,
755836,
757066,
758297,
759529,
760762,
761996,
763231,
764467,
765704,
766942,
768181,
769421,
770662,
771904,
773147,
774391,
775636,
776882,
778129,
779377,
780626,
781876,
783127,
784379,
785632,
786886,
788141,
789397,
790654,
791912,
793171,
794431,
795692,
796954,
798217,
799481,
800746,
802012,
803279,
804547,
805816,
807086,
808357,
809629,
810902,
812176,
813451,
814727,
816004,
817282,
818561,
819841,
821122,
822404,
823687,
824971,
826256,
827542,
828829,
830117,
831406,
832696,
833987,
835279,
836572,
837866,
839161,
840457,
841754,
843052,
844351,
845651,
846952,
848254,
849557,
850861,
852166,
853472,
854779,
856087,
857396,
858706,
860017,
861329,
862642,
863956,
865271,
866587,
867904,
869222,
870541,
871861,
873182,
874504,
875827,
877151,
878476,
879802,
881129,
882457,
883786,
885116,
886447,
887779,
889112,
890446,
891781,
893117,
894454,
895792,
897131,
898471,
899812,
901154,
902497,
903841,
905186,
906532,
907879,
909227,
910576,
911926,
913277,
914629,
915982,
917336,
918691,
920047,
921404,
922762,
924121,
925481,
926842,
928204,
929567,
930931,
932296,
933662,
935029,
936397,
937766,
939136,
940507,
941879,
943252,
944626,
946001,
947377,
948754,
950132,
951511,
952891,
954272,
955654,
957037,
958421,
959806,
961192,
962579,
963967,
965356,
966746,
968137,
969529,
970922,
972316,
973711,
975107,
976504,
977902,
979301,
980701,
982102,
983504,
984907,
986311,
987716,
989122,
990529,
991937,
993346,
994756,
996167,
997579,
998992,
1000406,
1001821,
1003237,
1004654,
1006072,
1007491,
1008911,
1010332,
1011754,
1013177,
1014601,
1016026,
1017452,
1018879,
1020307,
1021736,
1023166,
1024597,
1026029,
1027462,
1028896,
1030331,
1031767,
1033204,
1034642,
1036081,
1037521,
1038962,
1040404,
1041847,
1043291,
1044736,
1046182,
1047629,
1049077,
1050526,
1051976,
1053427,
1054879,
1056332,
1057786,
1059241,
1060697,
1062154,
1063612,
1065071,
1066531,
1067992,
1069454,
1070917,
1072381,
1073846,
1075312,
1076779,
1078247,
1079716,
1081186,
1082657,
1084129,
1085602,
1087076,
1088551,
1090027,
1091504,
1092982,
1094461,
1095941,
1097422,
1098904,
1100387,
1101871,
1103356,
1104842,
1106329,
1107817,
1109306,
1110796,
1112287,
1113779,
1115272,
1116766,
1118261,
1119757,
1121254,
1122752,
1124251,
1125751,
1127252,
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