1/*
2 * Copyright (c) 1989, 1993
3 *	The Regents of the University of California.  All rights reserved.
4 *
5 * This code is derived from software contributed to Berkeley by
6 * Landon Curt Noll.
7 *
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
10 * are met:
11 * 1. Redistributions of source code must retain the above copyright
12 *    notice, this list of conditions and the following disclaimer.
13 * 2. Redistributions in binary form must reproduce the above copyright
14 *    notice, this list of conditions and the following disclaimer in the
15 *    documentation and/or other materials provided with the distribution.
16 * 3. Neither the name of the University nor the names of its contributors
17 *    may be used to endorse or promote products derived from this software
18 *    without specific prior written permission.
19 *
20 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
21 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
22 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
23 * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
24 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
25 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
26 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
27 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
28 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
29 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
30 * SUCH DAMAGE.
31 */
32
33#ifndef lint
34#if 0
35static char sccsid[] = "@(#)pattern.c	8.1 (Berkeley) 5/31/93";
36#endif
37static const char rcsid[] =
38 "$FreeBSD$";
39#endif /* not lint */
40
41/*
42 * pattern - the Eratosthenes sieve on odd numbers for 3,5,7,11 and 13
43 *
44 * By: Landon Curt Noll                             chongo@toad.com
45 *
46 *   chongo <for a good prime call: 391581 * 2^216193 - 1> /\oo/\
47 *
48 * To avoid excessive sieves for small factors, we use the table below to
49 * setup our sieve blocks.  Each element represents an odd number starting
50 * with 1.  All non-zero elements are factors of 3, 5, 7, 11 and 13.
51 */
52
53#include <stddef.h>
54
55#include "primes.h"
56
57const char pattern[] = {
581,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
591,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
601,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,
610,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
621,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
631,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
640,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
651,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,
660,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
671,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
680,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
691,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,
701,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
710,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,
721,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
731,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,
741,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
751,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,
760,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
771,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
780,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
790,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
801,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,
810,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
821,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
831,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
841,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,
850,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
860,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,
871,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,
881,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
891,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
900,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,1,
910,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,
920,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
931,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,
941,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
951,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,
960,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
971,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,
981,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
990,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
1001,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,
1010,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,
1021,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,
1031,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
1041,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,
1051,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
1060,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,
1071,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,
1081,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
1091,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,
1101,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
1110,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
1120,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
1130,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,
1141,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
1151,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,
1160,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1171,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
1181,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,
1191,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
1200,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
1210,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,
1221,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
1230,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,
1241,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,
1251,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
1260,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,
1270,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
1281,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,
1291,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,
1301,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
1310,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,
1321,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
1331,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
1340,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
1351,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,
1360,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
1371,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
1381,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
1391,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
1401,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
1410,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1421,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,
1431,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
1441,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
1450,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
1460,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,
1471,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
1480,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,
1491,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
1501,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
1510,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1521,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,
1531,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
1541,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
1550,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
1560,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,
1571,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,
1581,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
1591,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
1601,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
1610,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,
1620,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,
1631,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,
1641,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,
1651,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
1660,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
1670,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,
1681,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
1690,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
1701,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,
1710,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
1721,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
1731,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,
1741,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,
1751,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
1760,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1771,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
1780,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,
1791,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,
1801,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
1810,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,
1821,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
1830,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,
1841,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
1851,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,
1860,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
1871,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
1881,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
1890,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
1900,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,
1910,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,
1921,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
1931,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
1941,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,
1951,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,
1960,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
1970,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,
1981,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
1991,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
2000,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,
2010,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,
2021,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
2031,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,
2040,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
2051,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,
2060,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
2071,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,
2081,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,
2091,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
2101,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
2110,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,
2121,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,
2131,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
2141,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,
2151,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
2160,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
2171,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
2180,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
2191,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,
2201,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
2210,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
2220,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
2231,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,
2241,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
2250,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,
2260,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,
2271,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
2281,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,
2291,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,
2301,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
2310,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
2320,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
2330,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
2341,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
2351,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
2360,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
2371,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
2381,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,
2390,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,
2401,0,0,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,
2410,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,
2421,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
2431,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
2440,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
2451,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,
2460,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
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3481,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,
3491,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,
3501,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
3510,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
3521,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
3531,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
3540,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
3551,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,
3560,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
3571,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
3580,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,
3591,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,
3601,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,
3610,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
3621,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,
3631,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
3641,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
3650,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,
3660,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,
3671,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
3681,0,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,
3691,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
3701,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
3710,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
3720,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
3731,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,
3741,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
3751,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,
3760,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
3771,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,
3781,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
3790,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,
3801,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,
3810,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,
3821,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,
3831,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,
3841,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
3851,0,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,
3860,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
3870,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,
3881,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
3891,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
3901,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,
3910,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
3921,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,
3930,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
3941,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,
3951,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
3960,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
3971,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,
3980,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,
3991,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
4000,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
4010,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,
4021,0,1,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,
4031,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,
4041,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,
4051,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,1,
4060,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,
4070,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
4081,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,
4090,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,
4101,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,
4110,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,
4121,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,
4131,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,
4140,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,
4151,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,
4160,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
4171,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,
4181,0,0,1,0,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,
4191,0,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,
4200,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,
4210,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,
4221,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,
4231,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,1,
4241,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,
4251,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,
4260,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,
4271,0,0,1,0,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,1,
4280,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,
4291,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,
4301,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,
4310,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,
4321,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,
4331,0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,
4341,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,
4350,0,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,
4360,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,
4371,0,1,1,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,
4381,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,
4391,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,
4401,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0,0,1,0,1,0,0,1,
4410,0,1,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,
4420,0,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1
443};
444const size_t pattern_size = (sizeof(pattern)/sizeof(pattern[0]));
445